|\^/| 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. | Type ? for help. > #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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) 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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_y_higher[1, m]) < glob_small_float*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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_2D0[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_3D0[1]; > #emit pre tan $eq_no = 1 > array_tmp3_a1[1] := sin(array_tmp2[1]); > array_tmp3_a2[1] := cos(array_tmp2[1]); > array_tmp3[1] := (array_tmp3_a1[1] / array_tmp3_a2[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (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 tan $eq_no = 1 > array_tmp3_a1[2] := array_tmp3_a2[1] * array_tmp2[2] / 1; > array_tmp3_a2[2] := -array_tmp3_a1[1] * array_tmp2[2] / 1; > array_tmp3[2] := (array_tmp3_a1[2] - ats(2,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre tan $eq_no = 1 > array_tmp3_a1[3] := array_tmp3_a2[2] * array_tmp2[2] / 2; > array_tmp3_a2[3] := -array_tmp3_a1[2] * array_tmp2[2] / 2; > array_tmp3[3] := (array_tmp3_a1[3] - ats(3,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp4[3] := array_tmp3[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_tmp4[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 tan $eq_no = 1 > array_tmp3_a1[4] := array_tmp3_a2[3] * array_tmp2[2] / 3; > array_tmp3_a2[4] := -array_tmp3_a1[3] * array_tmp2[2] / 3; > array_tmp3[4] := (array_tmp3_a1[4] - ats(4,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp4[4] := array_tmp3[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_tmp4[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 tan $eq_no = 1 > array_tmp3_a1[5] := array_tmp3_a2[4] * array_tmp2[2] / 4; > array_tmp3_a2[5] := -array_tmp3_a1[4] * array_tmp2[2] / 4; > array_tmp3[5] := (array_tmp3_a1[5] - ats(5,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp4[5] := array_tmp3[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_tmp4[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 > array_tmp3_a1[kkk] := array_tmp3_a2[kkk-1] * array_tmp2[2] / (kkk - 1); > array_tmp3_a2[kkk] := -array_tmp3_a1[kkk-1] * array_tmp2[2] / (kkk - 1); > array_tmp3[kkk] := (array_tmp3_a1[kkk] - ats(kkk ,array_tmp3_a2,array_tmp3,2)) / array_tmp3_a2[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp4[kkk] := array_tmp3[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_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_2D0[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_3D0[1]; array_tmp3_a1[1] := sin(array_tmp2[1]); array_tmp3_a2[1] := cos(array_tmp2[1]); array_tmp3[1] := array_tmp3_a1[1]/array_tmp3_a2[1]; array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*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_a1[2] := array_tmp3_a2[1]*array_tmp2[2]; array_tmp3_a2[2] := -array_tmp3_a1[1]*array_tmp2[2]; array_tmp3[2] := ( array_tmp3_a1[2] - ats(2, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[1]; array_tmp4[2] := array_tmp3[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3_a1[3] := 1/2*array_tmp3_a2[2]*array_tmp2[2]; array_tmp3_a2[3] := -1/2*array_tmp3_a1[2]*array_tmp2[2]; array_tmp3[3] := ( array_tmp3_a1[3] - ats(3, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[1]; array_tmp4[3] := array_tmp3[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3_a1[4] := 1/3*array_tmp3_a2[3]*array_tmp2[2]; array_tmp3_a2[4] := -1/3*array_tmp3_a1[3]*array_tmp2[2]; array_tmp3[4] := ( array_tmp3_a1[4] - ats(4, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[1]; array_tmp4[4] := array_tmp3[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3_a1[5] := 1/4*array_tmp3_a2[4]*array_tmp2[2]; array_tmp3_a2[5] := -1/4*array_tmp3_a1[4]*array_tmp2[2]; array_tmp3[5] := ( array_tmp3_a1[5] - ats(5, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[1]; array_tmp4[5] := array_tmp3[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3_a1[kkk] := array_tmp3_a2[kkk - 1]*array_tmp2[2]/(kkk - 1); array_tmp3_a2[kkk] := -array_tmp3_a1[kkk - 1]*array_tmp2[2]/(kkk - 1); array_tmp3[kkk] := ( array_tmp3_a1[kkk] - ats(kkk, array_tmp3_a2, array_tmp3, 2))/ array_tmp3_a2[1]; array_tmp4[kkk] := array_tmp3[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_tmp4[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 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(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0); > end; exact_soln_y := proc(x) return ln(1.0 + expt(tan(2.0*x + 3.0), 2))/4.0 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_2D0, > array_const_3D0, > #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_g, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_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/lin_tanpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;"); > 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 := 0.0;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > 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 := 10;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0);"); > 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_g:= Array(0..(max_terms + 1),[]); > array_tmp3_a1:= Array(0..(max_terms + 1),[]); > array_tmp3_a2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_const_3D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_3D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_3D0[1] := 3.0; > 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 := 0.0; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 10; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_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 ) = tan (2.0 * x + 3.0 ) ;"); > 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,"2013-01-28T16:02:44-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"lin_tan") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;") > ; > 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,"lin_tan diffeq.mxt") > ; > logitem_str(html_log_file,"lin_tan 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_2D0, array_const_3D0, 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_g, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_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/lin_tanpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;"); 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 := 0.0;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); 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 := 10;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0);") ; 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_g := Array(0 .. max_terms + 1, []); array_tmp3_a1 := Array(0 .. max_terms + 1, []); array_tmp3_a2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_g[term] := 0.; term := term + 1 end do; array_tmp3_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a1[term] := 0.; term := term + 1 end do; array_tmp3_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_const_3D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3D0[term] := 0.; term := term + 1 end do; array_const_3D0[1] := 3.0; 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.; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 10; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_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 ) = tan (2.0 * x + 3.0 ) ;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T16:02:44-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "lin_tan"); logitem_str(html_log_file, "diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ;"); 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, "lin_tan diffeq.mxt") ; logitem_str(html_log_file, "lin_tan 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/lin_tanpostode.ode################# diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.0; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(ln(1.0 + expt(tan(2.0 * x + 3.0),2))/4.0); 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 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 5 estimated_steps = 5000 step_error = 2.0000000000000000000000000000000e-14 est_needed_step_err = 2.0000000000000000000000000000000e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.2077402419714610852973019486907e-76 max_value3 = 1.2077402419714610852973019486907e-76 value3 = 1.2077402419714610852973019486907e-76 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y[1] (analytic) = 0.005028957536846446526988236639474 y[1] (numeric) = 0.005028957536846446526988236639474 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.001 y[1] (analytic) = 0.0048874311200864434332053331448668 y[1] (numeric) = 0.0048874311200864434332053331448533 absolute error = 1.35e-32 relative error = 2.7621872653135676415691858985600e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.002 y[1] (analytic) = 0.0047479441889101146192702473730965 y[1] (numeric) = 0.0047479441889101146192702473730872 absolute error = 9.3e-33 relative error = 1.9587424851627846954943216031531e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.003 y[1] (analytic) = 0.004610495605706192932946366049854 y[1] (numeric) = 0.0046104956057061929329463660498517 absolute error = 2.3e-33 relative error = 4.9886177033839886791734825398703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.004 y[1] (analytic) = 0.0044750842501082455502527075542028 y[1] (numeric) = 0.0044750842501082455502527075541905 absolute error = 1.23e-32 relative error = 2.7485516054144637654752418656580e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.8MB, time=0.32 x[1] = 0.005 y[1] (analytic) = 0.0043417090189578058874189729581388 y[1] (numeric) = 0.0043417090189578058874189729581427 absolute error = 3.9e-33 relative error = 8.9826379035787277007699906308830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.006 y[1] (analytic) = 0.0042103688262681012136700816583208 y[1] (numeric) = 0.0042103688262681012136700816583207 absolute error = 1e-34 relative error = 2.3750888372559966793173772734045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.007 y[1] (analytic) = 0.0040810626031883734068011728722342 y[1] (numeric) = 0.0040810626031883734068011728722364 absolute error = 2.2e-33 relative error = 5.3907528845091145772658387414228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.008 y[1] (analytic) = 0.0039537892979687903380107974710512 y[1] (numeric) = 0.0039537892979687903380107974710461 absolute error = 5.1e-33 relative error = 1.2899018171302302411441988323878e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.009 y[1] (analytic) = 0.0038285478759259454166601535806148 y[1] (numeric) = 0.0038285478759259454166601535806188 absolute error = 4.0e-33 relative error = 1.0447825467071084724178955385734e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.01 y[1] (analytic) = 0.0037053373194089428695255165737318 y[1] (numeric) = 0.0037053373194089428695255165737299 absolute error = 1.9e-33 relative error = 5.1277382764791806516336164090822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.011 y[1] (analytic) = 0.0035841566277660663727152055006945 y[1] (numeric) = 0.0035841566277660663727152055006976 absolute error = 3.1e-33 relative error = 8.6491755856444488557582346492148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.012 y[1] (analytic) = 0.0034650048173120286977371843586722 y[1] (numeric) = 0.0034650048173120286977371843586672 absolute error = 5.0e-33 relative error = 1.4429994368315889024895254256472e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.013 y[1] (analytic) = 0.0033478809212958000762343344109425 y[1] (numeric) = 0.0033478809212958000762343344109474 absolute error = 4.9e-33 relative error = 1.4636123909996927107446467128070e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.014 y[1] (analytic) = 0.0032327839898690130306571165313152 y[1] (numeric) = 0.0032327839898690130306571165313038 absolute error = 1.14e-32 relative error = 3.5263723266774495576013081323896e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.015 y[1] (analytic) = 0.0031197130900549414606232818367048 y[1] (numeric) = 0.0031197130900549414606232818366878 absolute error = 1.70e-32 relative error = 5.4492190497237718569023807633401e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.016 y[1] (analytic) = 0.0030086673057180518169269454379582 y[1] (numeric) = 0.0030086673057180518169269454379423 absolute error = 1.59e-32 relative error = 5.2847318710784769464566517271853e-28 % Correct digits = 29 h = 0.001 memory used=7.6MB, alloc=3.8MB, time=0.68 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.017 y[1] (analytic) = 0.002899645737534124237110123001042 y[1] (numeric) = 0.0028996457375341242371101230010344 absolute error = 7.6e-33 relative error = 2.6210098363474858931371486921475e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.018 y[1] (analytic) = 0.0027926475029609415582041053319235 y[1] (numeric) = 0.0027926475029609415582041053319207 absolute error = 2.8e-33 relative error = 1.0026328052614097766663096710508e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.019 y[1] (analytic) = 0.0026876717362095441636911271393022 y[1] (numeric) = 0.0026876717362095441636911271392837 absolute error = 1.85e-32 relative error = 6.8832810758693220947373913394096e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.02 y[1] (analytic) = 0.0025847175882160486629339407051718 y[1] (numeric) = 0.0025847175882160486629339407051545 absolute error = 1.73e-32 relative error = 6.6931877118305683708192895545657e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.021 y[1] (analytic) = 0.0024837842266140284422773561053179 y[1] (numeric) = 0.0024837842266140284422773561053034 absolute error = 1.45e-32 relative error = 5.8378662061828329314762048471217e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.022 y[1] (analytic) = 0.0023848708357074541677467350823898 y[1] (numeric) = 0.0023848708357074541677467350823786 absolute error = 1.12e-32 relative error = 4.6962711071426236936573451838503e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.023 y[1] (analytic) = 0.0022879766164441923597589604225056 y[1] (numeric) = 0.0022879766164441923597589604225093 absolute error = 3.7e-33 relative error = 1.6171493945380753814301038264062e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.024 y[1] (analytic) = 0.0021931007863900602005266389833056 y[1] (numeric) = 0.0021931007863900602005266389832932 absolute error = 1.24e-32 relative error = 5.6540949129889020086479963024538e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.025 y[1] (analytic) = 0.0021002425797034347748812851459838 y[1] (numeric) = 0.002100242579703434774881285145975 absolute error = 8.8e-33 relative error = 4.1899921871132647811648984762193e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.026 y[1] (analytic) = 0.0020094012471104149850709826898886 y[1] (numeric) = 0.0020094012471104149850709826898799 absolute error = 8.7e-33 relative error = 4.3296479548377338026524977500629e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.027 y[1] (analytic) = 0.0019205760558805344197075076484375 y[1] (numeric) = 0.0019205760558805344197075076484328 absolute error = 4.7e-33 relative error = 2.4471824407105667209052644839531e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.0MB, time=1.04 x[1] = 0.028 y[1] (analytic) = 0.0018337662898030234964520447600789 y[1] (numeric) = 0.0018337662898030234964520447600614 absolute error = 1.75e-32 relative error = 9.5432008415204242490566217565196e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.029 y[1] (analytic) = 0.0017489712491636192372423401997519 y[1] (numeric) = 0.0017489712491636192372423401997434 absolute error = 8.5e-33 relative error = 4.8599998450888260041081297150180e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.03 y[1] (analytic) = 0.0016661902507219210738822612010082 y[1] (numeric) = 0.0016661902507219210738822612010066 absolute error = 1.6e-33 relative error = 9.6027449404817823536957686927424e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.031 y[1] (analytic) = 0.0015854226276892911206421010228783 y[1] (numeric) = 0.0015854226276892911206421010228721 absolute error = 6.2e-33 relative error = 3.9106291860084812741609159666679e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.032 y[1] (analytic) = 0.0015066677297072973891593627058615 y[1] (numeric) = 0.0015066677297072973891593627058534 absolute error = 8.1e-33 relative error = 5.3761024015385258228613860998701e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.033 y[1] (analytic) = 0.0014299249228266984593899304855517 y[1] (numeric) = 0.0014299249228266984593899304855528 absolute error = 1.1e-33 relative error = 7.6927115713565045448088822071399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.034 y[1] (analytic) = 0.0013551935894869681586432138484824 y[1] (numeric) = 0.0013551935894869681586432138484762 absolute error = 6.2e-33 relative error = 4.5749921251819945770071971573161e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.035 y[1] (analytic) = 0.0012824731284963588388467141391478 y[1] (numeric) = 0.0012824731284963588388467141391438 absolute error = 4.0e-33 relative error = 3.1189737321746595067092771362468e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.036 y[1] (analytic) = 0.0012117629550125018801301742215616 y[1] (numeric) = 0.0012117629550125018801301742215577 absolute error = 3.9e-33 relative error = 3.2184512522581310535602730404871e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.037 y[1] (analytic) = 0.001143062500523544086601654443628 y[1] (numeric) = 0.0011430625005235440866016544436322 absolute error = 4.2e-33 relative error = 3.6743397653901874513989016612325e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.038 y[1] (analytic) = 0.0010763712128298186778121300218449 y[1] (numeric) = 0.0010763712128298186778121300218306 absolute error = 1.43e-32 relative error = 1.3285379457896114731853506093597e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.039 y[1] (analytic) = 0.0010116885560260496168760942770028 y[1] (numeric) = 0.001011688556026049616876094276987 absolute error = 1.58e-32 relative error = 1.5617454507998972851371064943644e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.1MB, time=1.41 x[1] = 0.04 y[1] (analytic) = 0.00094901401048408805353771943721842 y[1] (numeric) = 0.00094901401048408805353771943720128 absolute error = 1.714e-32 relative error = 1.8060850325336038106299390110966e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.041 y[1] (analytic) = 0.00088834707283617969764988555636988 y[1] (numeric) = 0.00088834707283617969764988555635154 absolute error = 1.834e-32 relative error = 2.0645084067702088228768764865090e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.042 y[1] (analytic) = 0.0008296872559587619755713259437347 y[1] (numeric) = 0.00082968725595876197557132594372949 absolute error = 5.21e-33 relative error = 6.2794745400536236806823607724914e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.043 y[1] (analytic) = 0.00077303408895678985888971655088852 y[1] (numeric) = 0.00077303408895678985888971655089146 absolute error = 2.94e-33 relative error = 3.8031957995119366943815954617802e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.044 y[1] (analytic) = 0.00071838711714858929165019475438505 y[1] (numeric) = 0.00071838711714858929165019475438291 absolute error = 2.14e-33 relative error = 2.9788952904585120210203721431201e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.045 y[1] (analytic) = 0.00066574590205123717891394401493478 y[1] (numeric) = 0.00066574590205123717891394401492976 absolute error = 5.02e-33 relative error = 7.5404144201756580054294895082377e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.046 y[1] (analytic) = 0.00061511002136646693599451627535462 y[1] (numeric) = 0.00061511002136646693599451627535941 absolute error = 4.79e-33 relative error = 7.7872247786810802021646293640539e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.047 y[1] (analytic) = 0.00056647906896709863412485296234315 y[1] (numeric) = 0.00056647906896709863412485296234514 absolute error = 1.99e-33 relative error = 3.5129276773253207680381406160045e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.048 y[1] (analytic) = 0.00051985265488399281459985615600935 y[1] (numeric) = 0.00051985265488399281459985615600732 absolute error = 2.03e-33 relative error = 3.9049526455780101104501436335223e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.049 y[1] (analytic) = 0.00047523040529352707962218155194278 y[1] (numeric) = 0.00047523040529352707962218155194564 absolute error = 2.86e-33 relative error = 6.0181334530426664572352664195036e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.05 y[1] (analytic) = 0.00043261196250559460415698231027005 y[1] (numeric) = 0.00043261196250559460415698231027042 absolute error = 3.7e-34 relative error = 8.5526992332121445516348890111154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.051 y[1] (analytic) = 0.00039199698495212374907891698266422 y[1] (numeric) = 0.00039199698495212374907891698265617 absolute error = 8.05e-33 relative error = 2.0535872236321359900432457841445e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.1MB, time=1.77 x[1] = 0.052 y[1] (analytic) = 0.00035338514717611799177611659953022 y[1] (numeric) = 0.00035338514717611799177611659951558 absolute error = 1.464e-32 relative error = 4.1427887156513127900271752065017e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.053 y[1] (analytic) = 0.00031677613982121542616523958178498 y[1] (numeric) = 0.00031677613982121542616523958178373 absolute error = 1.25e-33 relative error = 3.9460042688362977450070667348052e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.054 y[1] (analytic) = 0.00028216966962176711977346581374998 y[1] (numeric) = 0.00028216966962176711977346581373224 absolute error = 1.774e-32 relative error = 6.2869974734632151016263912367143e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.055 y[1] (analytic) = 0.00024956545939343365116151464323032 y[1] (numeric) = 0.00024956545939343365116151464322889 absolute error = 1.43e-33 relative error = 5.7299596004815757511321304820596e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.056 y[1] (analytic) = 0.00021896324802429918650072246754888 y[1] (numeric) = 0.00021896324802429918650072246753499 absolute error = 1.389e-32 relative error = 6.3435303071767430760477531678753e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.057 y[1] (analytic) = 0.00019036279046650248958107641576591 y[1] (numeric) = 0.0001903627904665024895810764157602 absolute error = 5.71e-33 relative error = 2.9995357737754794093227906146763e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.058 y[1] (analytic) = 0.0001637638577283842949200505065549 y[1] (numeric) = 0.00016376385772838429492005050655941 absolute error = 4.51e-33 relative error = 2.7539654124905890851656981598866e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.059 y[1] (analytic) = 0.00013916623686715050896829590201034 y[1] (numeric) = 0.00013916623686715050896829590200152 absolute error = 8.82e-33 relative error = 6.3377441242588608700899405620931e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.06 y[1] (analytic) = 0.00011656973098205073967185191429692 y[1] (numeric) = 0.00011656973098205073967185191428365 absolute error = 1.327e-32 relative error = 1.1383744208900420198401262730327e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.061 y[1] (analytic) = 9.5974159208071689855712475393170e-05 y[1] (numeric) = 9.5974159208071689855712475384473e-05 absolute error = 8.697e-33 relative error = 9.0618142130788872401180673006089e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.062 y[1] (analytic) = 7.7379356710144985044436625748028e-05 y[1] (numeric) = 7.7379356710144985044436625729284e-05 absolute error = 1.8744e-32 relative error = 2.4223514897148955021549514158139e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.063 y[1] (analytic) = 6.0785174677869041436154284169572e-05 y[1] (numeric) = 6.0785174677869041436154284159220e-05 absolute error = 1.0352e-32 relative error = 1.7030468456922944267577192088638e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.1MB, time=2.15 x[1] = 0.064 y[1] (analytic) = 4.6191480320744614800904228184465e-05 y[1] (numeric) = 4.6191480320744614800904228169421e-05 absolute error = 1.5044e-32 relative error = 3.2568776526617902661555967861745e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.065 y[1] (analytic) = 3.3598156863923706086855710712898e-05 y[1] (numeric) = 3.3598156863923706086855710709950e-05 absolute error = 2.948e-33 relative error = 8.7742908396425726320230095214059e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.066 y[1] (analytic) = 2.3005103544471534492706843399782e-05 y[1] (numeric) = 2.3005103544471534492706843396925e-05 absolute error = 2.857e-33 relative error = 1.2418983441987502881493126431479e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.067 y[1] (analytic) = 1.4412235608141323705513400174570e-05 y[1] (numeric) = 1.4412235608141323705513400168571e-05 absolute error = 5.999e-33 relative error = 4.1624354216158016338097199635005e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.068 y[1] (analytic) = 7.8194843066616819144666252571890e-06 y[1] (numeric) = 7.8194843066616819144666252551382e-06 absolute error = 2.0508e-33 relative error = 2.6226793476046168955946616554519e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.069 y[1] (analytic) = 3.2267968955363910967882506742905e-06 y[1] (numeric) = 3.2267968955363910967882506674538e-06 absolute error = 6.8367e-33 relative error = 2.1187264712747078505784478168493e-25 % Correct digits = 26 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.07 y[1] (analytic) = 6.3413663235645593602095683656568e-07 y[1] (numeric) = 6.3413663235645593602095683826360e-07 absolute error = 1.69792e-33 relative error = 2.6775302251354223254759862932652e-25 % Correct digits = 26 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.071 y[1] (analytic) = 4.1482775624297579634818655685930e-08 y[1] (numeric) = 4.1482775624297579634818642083400e-08 absolute error = 1.3602530e-32 relative error = 3.2790790382967121404027040164804e-23 % Correct digits = 24 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.072 y[1] (analytic) = 1.4488305840900122761136250980282e-06 y[1] (numeric) = 1.4488305840900122761136250852116e-06 absolute error = 1.28166e-32 relative error = 8.8461688624898162736477778593144e-25 % Correct digits = 26 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.073 y[1] (analytic) = 4.8561913165996497555957120309285e-06 y[1] (numeric) = 4.8561913165996497555957120326642e-06 absolute error = 1.7357e-33 relative error = 3.5742002051421508947273043170718e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.074 y[1] (analytic) = 1.0263592232455501036786806568277e-05 y[1] (numeric) = 1.0263592232455501036786806554716e-05 absolute error = 1.3561e-32 relative error = 1.3212722887720973424762061199277e-25 % Correct digits = 26 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.075 y[1] (analytic) = 1.7671076592288420160301112521116e-05 y[1] (numeric) = 1.7671076592288420160301112514367e-05 absolute error = 6.749e-33 relative error = 3.8192353277135552768902391940132e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.1MB, time=2.52 x[1] = 0.076 y[1] (analytic) = 2.7078703659442239168885018837895e-05 y[1] (numeric) = 2.7078703659442239168885018826259e-05 absolute error = 1.1636e-32 relative error = 4.2971037854474883004336006965353e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.077 y[1] (analytic) = 3.8486548701870370482199443269055e-05 y[1] (numeric) = 3.8486548701870370482199443272697e-05 absolute error = 3.642e-33 relative error = 9.4630465002516735711936810601079e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.078 y[1] (analytic) = 5.1894702994544725652047229457088e-05 y[1] (numeric) = 5.1894702994544725652047229456593e-05 absolute error = 4.95e-34 relative error = 9.5385457751253607537519707293791e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.079 y[1] (analytic) = 6.7303273822377114337198445830102e-05 y[1] (numeric) = 6.7303273822377114337198445818131e-05 absolute error = 1.1971e-32 relative error = 1.7786653338132060146181276562465e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.08 y[1] (analytic) = 8.4712384483653322209358832469892e-05 y[1] (numeric) = 8.4712384483653322209358832474384e-05 absolute error = 4.492e-33 relative error = 5.3026485175456333277141964488398e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.081 y[1] (analytic) = 0.00010412217429398010139741835450596 y[1] (numeric) = 0.00010412217429398010139741835448851 absolute error = 1.745e-32 relative error = 1.6759158285276880100092021384133e-26 % Correct digits = 27 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.082 y[1] (analytic) = 0.00012553279859074534199998533841028 y[1] (numeric) = 0.00012553279859074534199998533840448 absolute error = 5.80e-33 relative error = 4.6203064578435946390396304517074e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.083 y[1] (analytic) = 0.00014894442873809172815043934889464 y[1] (numeric) = 0.00014894442873809172815043934888739 absolute error = 7.25e-33 relative error = 4.8675872346649592426721869532149e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.084 y[1] (analytic) = 0.00017435725213240421710841075693488 y[1] (numeric) = 0.00017435725213240421710841075692675 absolute error = 8.13e-33 relative error = 4.6628401747385895779206925929371e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.085 y[1] (analytic) = 0.00020177147220831171488081114041766 y[1] (numeric) = 0.00020177147220831171488081114041167 absolute error = 5.99e-33 relative error = 2.9687051070410189017051099938592e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.086 y[1] (analytic) = 0.00023118730844520335694839758182592 y[1] (numeric) = 0.0002311873084452033569483975818136 absolute error = 1.232e-32 relative error = 5.3290122554111225460171747241128e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.087 y[1] (analytic) = 0.00026260499637425983779446472001822 y[1] (numeric) = 0.00026260499637425983779446472000387 absolute error = 1.435e-32 relative error = 5.4644809497640488382420742884126e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.1MB, time=2.89 x[1] = 0.088 y[1] (analytic) = 0.00029602478758600026810473873784448 y[1] (numeric) = 0.00029602478758600026810473873782639 absolute error = 1.809e-32 relative error = 6.1109747421892990423662869587499e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.089 y[1] (analytic) = 0.00033144694973834507373602425640845 y[1] (numeric) = 0.00033144694973834507373602425638949 absolute error = 1.896e-32 relative error = 5.7203724502420783527215117370693e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.09 y[1] (analytic) = 0.00036887176656519548583976530282485 y[1] (numeric) = 0.00036887176656519548583976530280648 absolute error = 1.837e-32 relative error = 4.9800504308190884342356330059549e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.091 y[1] (analytic) = 0.00040829953788553020687957281446722 y[1] (numeric) = 0.0004082995378855302068795728144493 absolute error = 1.792e-32 relative error = 4.3889346759495976808453297232765e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.092 y[1] (analytic) = 0.0004497305796130198727031027322963 y[1] (numeric) = 0.00044973057961301987270310273228222 absolute error = 1.408e-32 relative error = 3.1307633143637757208525822871921e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.093 y[1] (analytic) = 0.00049316522376615996632261205848212 y[1] (numeric) = 0.00049316522376615996632261205846408 absolute error = 1.804e-32 relative error = 3.6580032675933119065305691349865e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.094 y[1] (analytic) = 0.0005386038184789228746292597484682 y[1] (numeric) = 0.00053860381847892287462925974845582 absolute error = 1.238e-32 relative error = 2.2985355051812476539503088127548e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.095 y[1] (analytic) = 0.00058604672801192981491795316933262 y[1] (numeric) = 0.00058604672801192981491795316932215 absolute error = 1.047e-32 relative error = 1.7865469594067707608326502437765e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.096 y[1] (analytic) = 0.00063549433276414339383648179123282 y[1] (numeric) = 0.00063549433276414339383648179122409 absolute error = 8.73e-33 relative error = 1.3737337297766338622526606852869e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.097 y[1] (analytic) = 0.00068694702928508159719905577169812 y[1] (numeric) = 0.00068694702928508159719905577168813 absolute error = 9.99e-33 relative error = 1.4542606014901580788167673825527e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.098 y[1] (analytic) = 0.00074040523028755404502442216790692 y[1] (numeric) = 0.00074040523028755404502442216789257 absolute error = 1.435e-32 relative error = 1.9381278539087082027149492335588e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.099 y[1] (analytic) = 0.00079586936466092138217672650955138 y[1] (numeric) = 0.00079586936466092138217672650954687 absolute error = 4.51e-33 relative error = 5.6667591444752705844458160804801e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.1MB, time=3.27 x[1] = 0.1 y[1] (analytic) = 0.00085333987748487871110750081016675 y[1] (numeric) = 0.0008533398774848787111075008101553 absolute error = 1.145e-32 relative error = 1.3417865849358358886525781469499e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 0.00091281723004376400942388758057582 y[1] (numeric) = 0.00091281723004376400942388758057661 absolute error = 7.9e-34 relative error = 8.6545255062957600659917395751991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 0.00097430189984139251134576897959995 y[1] (numeric) = 0.00097430189984139251134576897959254 absolute error = 7.41e-33 relative error = 7.6054455002153650843601771537510e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 0.0010377943806164180685671967750317 y[1] (numeric) = 0.0010377943806164180685671967750213 absolute error = 1.04e-32 relative error = 1.0021252951690409627093642584153e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 0.0011032951823582225426097689125834 y[1] (numeric) = 0.001103295182358222542609768912579 absolute error = 4.4e-33 relative error = 3.9880533064553792318638604496197e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 0.0011708048313233343174517503477301 y[1] (numeric) = 0.0011708048313233343174517503477152 absolute error = 1.49e-32 relative error = 1.2726288448228271967984403193277e-27 % Correct digits = 28 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 0.0012403238700523770580411898749615 y[1] (numeric) = 0.001240323870052377058041189874954 absolute error = 7.5e-33 relative error = 6.0468077581086027144584651828503e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 0.0013118528573875498772584646246704 y[1] (numeric) = 0.0013118528573875498772584646246574 absolute error = 1.30e-32 relative error = 9.9096479660748394033288310887734e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 0.0013853923684906401109880372876331 y[1] (numeric) = 0.0013853923684906401109880372876235 absolute error = 9.6e-33 relative error = 6.9294448405681822078134508201508e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 0.0014609429948615699381952103593549 y[1] (numeric) = 0.0014609429948615699381952103593508 absolute error = 4.1e-33 relative error = 2.8064065568749251801693760039369e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.0015385053443574781202858047696314 y[1] (numeric) = 0.0015385053443574781202858047696277 absolute error = 3.7e-33 relative error = 2.4049315223829925155998996749766e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 0.0016180800412123381715595016319725 y[1] (numeric) = 0.0016180800412123381715595016319736 absolute error = 1.1e-33 relative error = 6.7981803865266803614156060334535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 0.0016996677260571143102556172574426 memory used=38.1MB, alloc=4.1MB, time=3.64 y[1] (numeric) = 0.0016996677260571143102556172574426 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 0.0017832690559404565775379129172589 y[1] (numeric) = 0.0017832690559404565775379129172459 absolute error = 1.30e-32 relative error = 7.2899823819037156559659748824572e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 0.0018688847043499365497772809967357 y[1] (numeric) = 0.001868884704349936549777280996723 absolute error = 1.27e-32 relative error = 6.7954967850290711679045993499909e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 0.0019565153612338251076724369109643 y[1] (numeric) = 0.0019565153612338251076724369109694 absolute error = 5.1e-33 relative error = 2.6066751639423974341717942601880e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 0.0020461617330234137641037509366714 y[1] (numeric) = 0.0020461617330234137641037509366593 absolute error = 1.21e-32 relative error = 5.9135110410461099398636929543364e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 0.0021378245426558810911487770569303 y[1] (numeric) = 0.0021378245426558810911487770569306 absolute error = 3e-34 relative error = 1.4032957055834963285857457573022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 0.0022315045295977058254046106211106 y[1] (numeric) = 0.0022315045295977058254046106211024 absolute error = 8.2e-33 relative error = 3.6746508426215431557554067709080e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 0.0023272024498686282696667000921026 y[1] (numeric) = 0.0023272024498686282696667000920984 absolute error = 4.2e-33 relative error = 1.8047419983753850375723658522442e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.0024249190760661616481109516995692 y[1] (numeric) = 0.0024249190760661616481109516995621 absolute error = 7.1e-33 relative error = 2.9279327586956073511158494311287e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 0.0025246551973906551114207359616748 y[1] (numeric) = 0.0025246551973906551114207359616789 absolute error = 4.1e-33 relative error = 1.6239841401857706015964205729307e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 0.0026264116196709101277976044507855 y[1] (numeric) = 0.0026264116196709101277976044507689 absolute error = 1.66e-32 relative error = 6.3204106605650728641506765277867e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 0.0027301891653903520354990635975868 y[1] (numeric) = 0.0027301891653903520354990635975871 absolute error = 3e-34 relative error = 1.0988249598342653448599110978931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 0.0028359886737137585724635775136702 y[1] (numeric) = 0.0028359886737137585724635775136536 absolute error = 1.66e-32 relative error = 5.8533379042949830192369969388381e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=41.9MB, alloc=4.2MB, time=4.02 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 0.0029438110005145472387170704845305 y[1] (numeric) = 0.0029438110005145472387170704845155 absolute error = 1.50e-32 relative error = 5.0954358134330490551662299934042e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 0.0030536570184026233876115986046035 y[1] (numeric) = 0.0030536570184026233876115986045852 absolute error = 1.83e-32 relative error = 5.9928144810358504814627815010489e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 0.0031655276167527909825306265441592 y[1] (numeric) = 0.0031655276167527909825306265441428 absolute error = 1.64e-32 relative error = 5.1808109059630242277421058988906e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 0.003279423701733727996511589105806 y[1] (numeric) = 0.0032794237017337279965115891057962 absolute error = 9.8e-33 relative error = 2.9883299296821721261868387930964e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 0.0033953461963375284732902903667938 y[1] (numeric) = 0.0033953461963375284732902903667772 absolute error = 1.66e-32 relative error = 4.8890448985455408740729898256728e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.00351329604040981330956839202732 y[1] (numeric) = 0.0035132960404098133095683920273139 absolute error = 6.1e-33 relative error = 1.7362613141158628364795050841502e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 0.0036332741906804118598500082104922 y[1] (numeric) = 0.0036332741906804118598500082104943 absolute error = 2.1e-33 relative error = 5.7799105979577281174798451266883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 0.0037552816207946165069915434353768 y[1] (numeric) = 0.003755281620794616506991543435365 absolute error = 1.18e-32 relative error = 3.1422410331779919627147978003504e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 0.0038793193213450123836657178369248 y[1] (numeric) = 0.0038793193213450123836657178369272 absolute error = 2.4e-33 relative error = 6.1866523510827863415891796428479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 0.0040053882999038844722616009869938 y[1] (numeric) = 0.004005388299903884472261600986996 absolute error = 2.2e-33 relative error = 5.4926010545664010275897936259485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 0.0041334895810562043533328540261898 y[1] (numeric) = 0.0041334895810562043533328540261726 absolute error = 1.72e-32 relative error = 4.1611330239775258330947175050997e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 0.0042636242064331989155717405713338 y[1] (numeric) = 0.0042636242064331989155717405713363 absolute error = 2.5e-33 relative error = 5.8635561647948655604421413893103e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.2MB, time=4.39 x[1] = 0.137 y[1] (analytic) = 0.0043957932347465033834323426041325 y[1] (numeric) = 0.0043957932347465033834323426041342 absolute error = 1.7e-33 relative error = 3.8673338558382753522738326227560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 0.004529997741822901061958393236575 y[1] (numeric) = 0.0045299977418229010619583932365607 absolute error = 1.43e-32 relative error = 3.1567344654449177254158627195995e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 0.0046662388206396522420948523466132 y[1] (numeric) = 0.0046662388206396522420948523465973 absolute error = 1.59e-32 relative error = 3.4074552570415617100788411078061e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.0048045175813604147537834966655328 y[1] (numeric) = 0.0048045175813604147537834966655204 absolute error = 1.24e-32 relative error = 2.5809042822752871967407168881709e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 0.0049448351513717586984671218425638 y[1] (numeric) = 0.0049448351513717586984671218425564 absolute error = 7.4e-33 relative error = 1.4965109601170724716895813567327e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 0.0050871926753202779372602661182 y[1] (numeric) = 0.0050871926753202779372602661181919 absolute error = 8.1e-33 relative error = 1.5922337754761849374526318273550e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 12.56 Order of pole = 1.124e+04 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 0.0052315913151503009559925274328505 y[1] (numeric) = 0.0052315913151503009559925274328326 absolute error = 1.79e-32 relative error = 3.4215210863591209455495537133018e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 6.056 Order of pole = 5420 TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 0.005378032250142203773599481328131 y[1] (numeric) = 0.0053780322501422037735994813281266 absolute error = 4.4e-33 relative error = 8.1814310427083380975045166448156e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 4.076 Order of pole = 3648 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 0.0055265166769513276059318996381205 y[1] (numeric) = 0.0055265166769513276059318996381136 absolute error = 6.9e-33 relative error = 1.2485260433170984080945379830655e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 3.119 Order of pole = 2792 TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 0.0056770458096475040429824652464865 y[1] (numeric) = 0.0056770458096475040429824652464728 absolute error = 1.37e-32 relative error = 2.4132269598244888474316977703275e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 2.555 Order of pole = 2289 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 0.005829620879755190543796584634863 y[1] (numeric) = 0.0058296208797551905437965846348582 absolute error = 4.8e-33 relative error = 8.2338115959979399105105495709151e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 2.185 Order of pole = 1958 TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 0.0059842431362942190999463903576035 y[1] (numeric) = 0.0059842431362942190999463903575889 absolute error = 1.46e-32 relative error = 2.4397404429394798177490926241403e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.923 Order of pole = 1724 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.2MB, time=4.77 x[1] = 0.149 y[1] (analytic) = 0.006140913845821160965410838282163 y[1] (numeric) = 0.0061409138458211609654108382821443 absolute error = 1.87e-32 relative error = 3.0451493815900363269130522371862e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.729 Order of pole = 1550 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.006299634292471310398026244602296 y[1] (numeric) = 0.0062996342924713103980262446022817 absolute error = 1.43e-32 relative error = 2.2699730390841770634390331071451e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.579 Order of pole = 1417 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 0.0064604057780012904053570485822012 y[1] (numeric) = 0.0064604057780012904053570485821864 absolute error = 1.48e-32 relative error = 2.2908777727857830293473020451008e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.46 Order of pole = 1311 TOP MAIN SOLVE Loop x[1] = 0.152 y[1] (analytic) = 0.0066232296218322835358924715320432 y[1] (numeric) = 0.0066232296218322835358924715320316 absolute error = 1.16e-32 relative error = 1.7514114204590898193438690940742e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.363 Order of pole = 1225 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 0.0067881071610938908049075842913512 y[1] (numeric) = 0.0067881071610938908049075842913552 absolute error = 4.0e-33 relative error = 5.8926588886605135186518357412598e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.284 Order of pole = 1154 TOP MAIN SOLVE Loop x[1] = 0.154 y[1] (analytic) = 0.0069550397506686218931436803597495 y[1] (numeric) = 0.0069550397506686218931436803597497 absolute error = 2e-34 relative error = 2.8756126085515618302141864375223e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.217 Order of pole = 1095 TOP MAIN SOLVE Loop x[1] = 0.155 y[1] (analytic) = 0.0071240287632370198056694392184545 y[1] (numeric) = 0.0071240287632370198056694392184527 absolute error = 1.8e-33 relative error = 2.5266602084606338482855948261211e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.16 Order of pole = 1045 TOP MAIN SOLVE Loop x[1] = 0.156 y[1] (analytic) = 0.007295075589323423227887888798306 y[1] (numeric) = 0.007295075589323423227887888798288 absolute error = 1.80e-32 relative error = 2.4674178875327318753387420295409e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.111 Order of pole = 1002 TOP MAIN SOLVE Loop x[1] = 0.157 y[1] (analytic) = 0.0074681816373423698656614483811728 y[1] (numeric) = 0.0074681816373423698656614483811631 absolute error = 9.7e-33 relative error = 1.2988436102702833990587543680738e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.069 Order of pole = 964.3 TOP MAIN SOLVE Loop x[1] = 0.158 y[1] (analytic) = 0.0076433483336456441069452422851568 y[1] (numeric) = 0.0076433483336456441069452422851382 absolute error = 1.86e-32 relative error = 2.4334884644892753592607033244059e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 1.032 Order of pole = 931.9 TOP MAIN SOLVE Loop x[1] = 0.159 y[1] (analytic) = 0.0078205771225699723931543886623485 y[1] (numeric) = 0.0078205771225699723931543886623522 absolute error = 3.7e-33 relative error = 4.7311086407189833330788799418545e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.9994 Order of pole = 903.4 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.0079998694664853697397511356917245 y[1] (numeric) = 0.0079998694664853697397511356917109 absolute error = 1.36e-32 relative error = 1.7000277388244647114392126113525e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.9706 Order of pole = 878.3 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.2MB, time=5.14 x[1] = 0.161 y[1] (analytic) = 0.0081812268458441408972296708223045 y[1] (numeric) = 0.0081812268458441408972296708223047 absolute error = 2e-34 relative error = 2.4446211279619389807612160034464e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.945 Order of pole = 856 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 0.0083646507592305396958073829009708 y[1] (numeric) = 0.0083646507592305396958073829009638 absolute error = 7.0e-33 relative error = 8.3685502258123287388037643529643e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.9221 Order of pole = 836.1 TOP MAIN SOLVE Loop x[1] = 0.163 y[1] (analytic) = 0.00855014272341109016970861288005 y[1] (numeric) = 0.0085501427234110901697086128800484 absolute error = 1.6e-33 relative error = 1.8713137917792300805502481949653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.9015 Order of pole = 818.3 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 0.0087377042733855731099578743213018 y[1] (numeric) = 0.0087377042733855731099578743213051 absolute error = 3.3e-33 relative error = 3.7767357383009238696735490013232e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.883 Order of pole = 802.4 TOP MAIN SOLVE Loop x[1] = 0.165 y[1] (analytic) = 0.0089273369624386817480916367645282 y[1] (numeric) = 0.0089273369624386817480916367645152 absolute error = 1.30e-32 relative error = 1.4562013346977762541547275005056e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.8661 Order of pole = 788 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 0.009119042362192350327158610235495 y[1] (numeric) = 0.0091190423621923503271586102354811 absolute error = 1.39e-32 relative error = 1.5242828630371926429496427552728e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.8508 Order of pole = 775 TOP MAIN SOLVE Loop x[1] = 0.167 y[1] (analytic) = 0.0093128220626587593708157067547958 y[1] (numeric) = 0.0093128220626587593708157067547922 absolute error = 3.6e-33 relative error = 3.8656381232008848685934417858559e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.8369 Order of pole = 763.2 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 0.009508677672294021516248237404049 y[1] (numeric) = 0.0095086776722940215162482374040435 absolute error = 5.5e-33 relative error = 5.7841901782260059801856565841863e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.8242 Order of pole = 752.4 TOP MAIN SOLVE Loop x[1] = 0.169 y[1] (analytic) = 0.0097066108180525518320562794532892 y[1] (numeric) = 0.0097066108180525518320562794532921 absolute error = 2.9e-33 relative error = 2.9876545525102553132685310387467e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.8125 Order of pole = 742.7 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.0099066231454421265981624625566248 y[1] (numeric) = 0.0099066231454421265981624625566283 absolute error = 3.5e-33 relative error = 3.5329899488609214853269709422186e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.8017 Order of pole = 733.7 TOP MAIN SOLVE Loop x[1] = 0.171 y[1] (analytic) = 0.010108716318579634581217720318289 y[1] (numeric) = 0.01010871631857963458121772031827 absolute error = 1.9e-32 relative error = 1.8795660498532686709650185460675e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7918 Order of pole = 725.6 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 0.010312892020247524895918978588412 y[1] (numeric) = 0.010312892020247524895918978588395 absolute error = 1.7e-32 relative error = 1.6484221852244288765637427858969e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7827 Order of pole = 718.1 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.2MB, time=5.52 x[1] = 0.173 y[1] (analytic) = 0.010519151951950955600114552195948 y[1] (numeric) = 0.010519151951950955600114552195942 absolute error = 6e-33 relative error = 5.7038818598748333265672986528149e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7742 Order of pole = 711.3 TOP MAIN SOLVE Loop x[1] = 0.174 y[1] (analytic) = 0.010727497833975647229567549413979 y[1] (numeric) = 0.010727497833975647229567549413968 absolute error = 1.1e-32 relative error = 1.0254022112371159099738285425018e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7664 Order of pole = 705 TOP MAIN SOLVE Loop x[1] = 0.175 y[1] (analytic) = 0.010937931405446445536783296538085 y[1] (numeric) = 0.010937931405446445536783296538089 absolute error = 4e-33 relative error = 3.6569986149375883099477543693332e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7591 Order of pole = 699.2 TOP MAIN SOLVE Loop x[1] = 0.176 y[1] (analytic) = 0.011150454424386597757392260022101 y[1] (numeric) = 0.011150454424386597757392260022087 absolute error = 1.4e-32 relative error = 1.2555542103630596892334539034191e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7523 Order of pole = 693.9 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 0.011365068667777746787223837314312 y[1] (numeric) = 0.011365068667777746787223837314305 absolute error = 7e-33 relative error = 6.1592236744212610726521592806780e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.746 Order of pole = 689 TOP MAIN SOLVE Loop x[1] = 0.178 y[1] (analytic) = 0.011581775931620647713417498688272 y[1] (numeric) = 0.011581775931620647713417498688266 absolute error = 6e-33 relative error = 5.1805526504952983659334041743883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7401 Order of pole = 684.4 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 0.011800578030996611203704993946334 y[1] (numeric) = 0.011800578030996611203704993946317 absolute error = 1.7e-32 relative error = 1.4406073969720849791319359919202e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7346 Order of pole = 680.2 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.012021476800129678319369709099029 y[1] (numeric) = 0.012021476800129678319369709099026 absolute error = 3e-33 relative error = 2.4955336601969221775659979164899e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7294 Order of pole = 676.4 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 0.012244474092449531379355906487628 y[1] (numeric) = 0.012244474092449531379355906487615 absolute error = 1.3e-32 relative error = 1.0617034183621131057620272222044e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7246 Order of pole = 672.8 TOP MAIN SOLVE Loop x[1] = 0.182 y[1] (analytic) = 0.012469571780655145565570765237903 y[1] (numeric) = 0.012469571780655145565570765237904 absolute error = 1e-33 relative error = 8.0195215809364422294740932301261e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.72 Order of pole = 669.5 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 0.012696771756779186022605237892875 y[1] (numeric) = 0.012696771756779186022605237892876 absolute error = 1e-33 relative error = 7.8760177717305984025501187858503e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7157 Order of pole = 666.4 TOP MAIN SOLVE Loop x[1] = 0.184 y[1] (analytic) = 0.01292607593225315526890525879884 y[1] (numeric) = 0.012926075932253155268905258798838 absolute error = 2e-33 relative error = 1.5472599808961344250495691345954e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7116 Order of pole = 663.5 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.2MB, time=5.89 x[1] = 0.185 y[1] (analytic) = 0.013157486237973295800862412523233 y[1] (numeric) = 0.013157486237973295800862412523221 absolute error = 1.2e-32 relative error = 9.1202831475265229806096895704860e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7078 Order of pole = 660.9 TOP MAIN SOLVE Loop x[1] = 0.186 y[1] (analytic) = 0.013391004624367252836372557700781 y[1] (numeric) = 0.013391004624367252836372557700773 absolute error = 8e-33 relative error = 5.9741596873490836089698938577103e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7042 Order of pole = 658.4 TOP MAIN SOLVE Loop x[1] = 0.187 y[1] (analytic) = 0.01362663306146150221014199621275 y[1] (numeric) = 0.013626633061461502210141996212734 absolute error = 1.6e-32 relative error = 1.1741711931211235100336967120078e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.7008 Order of pole = 656.2 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 0.013864373538949548499413606344621 y[1] (numeric) = 0.013864373538949548499413606344613 absolute error = 8e-33 relative error = 5.7701849834941261597437081120635e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6975 Order of pole = 654 TOP MAIN SOLVE Loop x[1] = 0.189 y[1] (analytic) = 0.014104228066260898525850084634002 y[1] (numeric) = 0.014104228066260898525850084633987 absolute error = 1.5e-32 relative error = 1.0635108798248875096733819600023e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6944 Order of pole = 652.1 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 0.014346198672630815447058366267283 y[1] (numeric) = 0.014346198672630815447058366267274 absolute error = 9e-33 relative error = 6.2734388428412681521910939190877e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6915 Order of pole = 650.2 TOP MAIN SOLVE Loop x[1] = 0.191 y[1] (analytic) = 0.014590287407170858719678860994922 y[1] (numeric) = 0.014590287407170858719678860994914 absolute error = 8e-33 relative error = 5.4830996653761232252127796921924e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6887 Order of pole = 648.5 TOP MAIN SOLVE Loop x[1] = 0.192 y[1] (analytic) = 0.014836496338940215285105937114354 y[1] (numeric) = 0.014836496338940215285105937114335 absolute error = 1.9e-32 relative error = 1.2806258004547984574113385082197e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.686 Order of pole = 646.9 TOP MAIN SOLVE Loop x[1] = 0.193 y[1] (analytic) = 0.015084827557017827398762842795779 y[1] (numeric) = 0.015084827557017827398762842795765 absolute error = 1.4e-32 relative error = 9.2808485526815722028736608107813e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6834 Order of pole = 645.5 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 0.015335283170575322594435853331062 y[1] (numeric) = 0.015335283170575322594435853331063 absolute error = 1e-33 relative error = 6.5209099100221162197478750040745e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.681 Order of pole = 644.1 TOP MAIN SOLVE Loop x[1] = 0.195 y[1] (analytic) = 0.015587865308950751346489907594755 y[1] (numeric) = 0.015587865308950751346489907594751 absolute error = 4e-33 relative error = 2.5660986419372952321735697471961e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6786 Order of pole = 642.8 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 0.015842576121723138064852534012638 y[1] (numeric) = 0.015842576121723138064852534012632 absolute error = 6e-33 relative error = 3.7872628503724698039147745820293e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6764 Order of pole = 641.6 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.2MB, time=6.27 x[1] = 0.197 y[1] (analytic) = 0.016099417778787851130475809324654 y[1] (numeric) = 0.016099417778787851130475809324643 absolute error = 1.1e-32 relative error = 6.8325452206683502790127639453279e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6742 Order of pole = 640.5 TOP MAIN SOLVE Loop x[1] = 0.198 y[1] (analytic) = 0.016358392470432797752578945659689 y[1] (numeric) = 0.016358392470432797752578945659691 absolute error = 2e-33 relative error = 1.2226140212829149342030211834973e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6721 Order of pole = 639.5 TOP MAIN SOLVE Loop x[1] = 0.199 y[1] (analytic) = 0.016619502407415449503348528554555 y[1] (numeric) = 0.016619502407415449503348528554551 absolute error = 4e-33 relative error = 2.4068109272725527031845994124384e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6701 Order of pole = 638.5 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 0.016882749821040704460941261449261 y[1] (numeric) = 0.016882749821040704460941261449254 absolute error = 7e-33 relative error = 4.1462439911749509880632305809006e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6682 Order of pole = 637.6 TOP MAIN SOLVE Loop x[1] = 0.201 y[1] (analytic) = 0.017148136963239591967607309961324 y[1] (numeric) = 0.017148136963239591967607309961326 absolute error = 2e-33 relative error = 1.1663074561903685502850781689591e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6663 Order of pole = 636.8 TOP MAIN SOLVE Loop x[1] = 0.202 y[1] (analytic) = 0.017415666106648826086543152118439 y[1] (numeric) = 0.017415666106648826086543152118431 absolute error = 8e-33 relative error = 4.5935653284865275990631568011306e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6645 Order of pole = 636 TOP MAIN SOLVE Loop x[1] = 0.203 y[1] (analytic) = 0.017685339544691213918703573130661 y[1] (numeric) = 0.017685339544691213918703573130651 absolute error = 1.0e-32 relative error = 5.6544009091427370895192580378004e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6627 Order of pole = 635.3 TOP MAIN SOLVE Loop x[1] = 0.204 y[1] (analytic) = 0.017957159591656925019265616886146 y[1] (numeric) = 0.017957159591656925019265616886138 absolute error = 8e-33 relative error = 4.4550475587001407407980567948818e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.661 Order of pole = 634.6 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 0.018231128582785628232755623227024 y[1] (numeric) = 0.018231128582785628232755623227022 absolute error = 2e-33 relative error = 1.0970247897261057424732484051523e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6593 Order of pole = 634 TOP MAIN SOLVE Loop x[1] = 0.206 y[1] (analytic) = 0.018507248874349502346036825859466 y[1] (numeric) = 0.018507248874349502346036825859464 absolute error = 2e-33 relative error = 1.0806576458654212193584511439881e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6577 Order of pole = 633.4 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 0.018785522843737127039422432956872 y[1] (numeric) = 0.018785522843737127039422432956852 absolute error = 2.0e-32 relative error = 1.0646496329309122955058896699335e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6562 Order of pole = 632.8 TOP MAIN SOLVE Loop x[1] = 0.208 y[1] (analytic) = 0.019065952889538260698140923748891 y[1] (numeric) = 0.019065952889538260698140923748888 absolute error = 3e-33 relative error = 1.5734854782139630098601334587904e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6546 Order of pole = 632.3 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.2MB, time=6.64 x[1] = 0.209 y[1] (analytic) = 0.019348541431629511729249925773724 y[1] (numeric) = 0.019348541431629511729249925773724 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6531 Order of pole = 631.8 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = 0.019633290911260910112886142054485 y[1] (numeric) = 0.019633290911260910112886142054478 absolute error = 7e-33 relative error = 3.5653727292275111238347441447900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6517 Order of pole = 631.4 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 0.019920203791143386001465228709186 y[1] (numeric) = 0.019920203791143386001465228709168 absolute error = 1.8e-32 relative error = 9.0360521351708673699334498442502e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6502 Order of pole = 630.9 TOP MAIN SOLVE Loop x[1] = 0.212 y[1] (analytic) = 0.020209282555537162266121338843665 y[1] (numeric) = 0.020209282555537162266121338843651 absolute error = 1.4e-32 relative error = 6.9275096538071439328135764702405e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6488 Order of pole = 630.6 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 0.020500529710341067976315513020563 y[1] (numeric) = 0.020500529710341067976315513020556 absolute error = 7e-33 relative error = 3.4145459160838145842410475849874e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6475 Order of pole = 630.2 TOP MAIN SOLVE Loop x[1] = 0.214 y[1] (analytic) = 0.020793947783182779886159686415463 y[1] (numeric) = 0.02079394778318277988615968641545 absolute error = 1.3e-32 relative error = 6.2518191040730715879314070535211e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6461 Order of pole = 629.8 TOP MAIN SOLVE Loop x[1] = 0.215 y[1] (analytic) = 0.021089539323509999089613489246603 y[1] (numeric) = 0.021089539323509999089613489246601 absolute error = 2e-33 relative error = 9.4833745266804322041913587174333e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6448 Order of pole = 629.5 TOP MAIN SOLVE Loop x[1] = 0.216 y[1] (analytic) = 0.021387306902682570096329150305926 y[1] (numeric) = 0.021387306902682570096329150305908 absolute error = 1.8e-32 relative error = 8.4162069034237749230762861638705e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6435 Order of pole = 629.2 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 0.021687253114065549670560806248783 y[1] (numeric) = 0.021687253114065549670560806248777 absolute error = 6e-33 relative error = 2.7666020996032098112671188110419e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6422 Order of pole = 629 TOP MAIN SOLVE Loop x[1] = 0.218 y[1] (analytic) = 0.021989380573123232867233731215133 y[1] (numeric) = 0.021989380573123232867233731215113 absolute error = 2.0e-32 relative error = 9.0952994030424051170572207328988e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6409 Order of pole = 628.7 TOP MAIN SOLVE Loop x[1] = 0.219 y[1] (analytic) = 0.022293691917514143792002022550515 y[1] (numeric) = 0.022293691917514143792002022550514 absolute error = 1e-33 relative error = 4.4855737833821510634678894924798e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6397 Order of pole = 628.5 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 0.022600189807186998705925933883572 y[1] (numeric) = 0.022600189807186998705925933883556 absolute error = 1.6e-32 relative error = 7.0795865594508865832062987160541e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6385 Order of pole = 628.2 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.2MB, time=7.02 x[1] = 0.221 y[1] (analytic) = 0.022908876924477649190288400589489 y[1] (numeric) = 0.022908876924477649190288400589477 absolute error = 1.2e-32 relative error = 5.2381441654951904127981386367360e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6372 Order of pole = 628 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 0.023219755974207013183060661979845 y[1] (numeric) = 0.023219755974207013183060661979843 absolute error = 2e-33 relative error = 8.6133549474923057163170993435796e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.636 Order of pole = 627.8 TOP MAIN SOLVE Loop x[1] = 0.223 y[1] (analytic) = 0.023532829683780001795635804237048 y[1] (numeric) = 0.023532829683780001795635804237041 absolute error = 7e-33 relative error = 2.9745679096231885004822635853211e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6349 Order of pole = 627.6 TOP MAIN SOLVE Loop x[1] = 0.224 y[1] (analytic) = 0.023848100803285449916693335003489 y[1] (numeric) = 0.023848100803285449916693335003489 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6337 Order of pole = 627.5 TOP MAIN SOLVE Loop x[1] = 0.225 y[1] (analytic) = 0.024165572105597058709454617988595 y[1] (numeric) = 0.024165572105597058709454617988576 absolute error = 1.9e-32 relative error = 7.8624250719060586723644685906819e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6325 Order of pole = 627.3 TOP MAIN SOLVE Loop x[1] = 0.226 y[1] (analytic) = 0.024485246386475358209155468415745 y[1] (numeric) = 0.024485246386475358209155468415738 absolute error = 7e-33 relative error = 2.8588644318753973155728997652592e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6314 Order of pole = 627.2 TOP MAIN SOLVE Loop x[1] = 0.227 y[1] (analytic) = 0.02480712646467069832931602780788 y[1] (numeric) = 0.024807126464670698329316027807866 absolute error = 1.4e-32 relative error = 5.6435395772010237547415758370900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6302 Order of pole = 627 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 0.025131215182027276688347060236585 y[1] (numeric) = 0.025131215182027276688347060236579 absolute error = 6e-33 relative error = 2.3874691122341478246265631204013e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6291 Order of pole = 626.9 TOP MAIN SOLVE Loop x[1] = 0.229 y[1] (analytic) = 0.025457515403588211772214177849252 y[1] (numeric) = 0.025457515403588211772214177849244 absolute error = 8e-33 relative error = 3.1424904878472185324666654496206e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.628 Order of pole = 626.8 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 0.025786030017701670054305627661222 y[1] (numeric) = 0.025786030017701670054305627661214 absolute error = 8e-33 relative error = 3.1024550869242517631820334307011e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6269 Order of pole = 626.6 TOP MAIN SOLVE Loop x[1] = 0.231 y[1] (analytic) = 0.026116761936128055800333856032345 y[1] (numeric) = 0.026116761936128055800333856032347 absolute error = 2e-33 relative error = 7.6579171831916245593722521925485e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6258 Order of pole = 626.5 TOP MAIN SOLVE Loop x[1] = 0.232 y[1] (analytic) = 0.026449714094148272394065104187228 y[1] (numeric) = 0.026449714094148272394065104187226 absolute error = 2e-33 relative error = 7.5615184076506878389598322774306e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6247 Order of pole = 626.4 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.2MB, time=7.40 x[1] = 0.233 y[1] (analytic) = 0.026784889450673064128934065542825 y[1] (numeric) = 0.02678488945067306412893406554281 absolute error = 1.5e-32 relative error = 5.6001724508230413774400042802041e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6236 Order of pole = 626.3 TOP MAIN SOLVE Loop x[1] = 0.234 y[1] (analytic) = 0.027122290988353447521181742461312 y[1] (numeric) = 0.027122290988353447521181742461295 absolute error = 1.7e-32 relative error = 6.2679070906288671876341923309936e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6225 Order of pole = 626.3 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 0.027461921713692241312073971793542 y[1] (numeric) = 0.027461921713692241312073971793529 absolute error = 1.3e-32 relative error = 4.7338274923121382159330899632862e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6214 Order of pole = 626.2 TOP MAIN SOLVE Loop x[1] = 0.236 y[1] (analytic) = 0.027803784657156704440035852652525 y[1] (numeric) = 0.027803784657156704440035852652506 absolute error = 1.9e-32 relative error = 6.8336020560817402901227577125095e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6203 Order of pole = 626.1 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 0.028147882873292291378194031316572 y[1] (numeric) = 0.02814788287329229137819403131656 absolute error = 1.2e-32 relative error = 4.2631980721313947169906065889280e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6193 Order of pole = 626 TOP MAIN SOLVE Loop x[1] = 0.238 y[1] (analytic) = 0.02849421944083753434887532543866 y[1] (numeric) = 0.028494219440837534348875325438657 absolute error = 3e-33 relative error = 1.0528451239834420972164018169827e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6182 Order of pole = 626 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 0.028842797462840062044087680489228 y[1] (numeric) = 0.028842797462840062044087680489212 absolute error = 1.6e-32 relative error = 5.5473121220692193355437348892873e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6171 Order of pole = 625.9 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = 0.029193620066773764599929458437842 y[1] (numeric) = 0.029193620066773764599929458437828 absolute error = 1.4e-32 relative error = 4.7955683358138473002488453927496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6161 Order of pole = 625.8 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 0.029546690404657114693257416215385 y[1] (numeric) = 0.02954669040465711469325741621537 absolute error = 1.5e-32 relative error = 5.0767107227805512829796063096303e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.615 Order of pole = 625.8 TOP MAIN SOLVE Loop x[1] = 0.242 y[1] (analytic) = 0.02990201165317265475081464110223 y[1] (numeric) = 0.029902011653172654750814641102214 absolute error = 1.6e-32 relative error = 5.3508105693960468183516488333138e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.614 Order of pole = 625.7 TOP MAIN SOLVE Loop x[1] = 0.243 y[1] (analytic) = 0.030259587013787660384399727272048 y[1] (numeric) = 0.03025958701378766038439972727204 absolute error = 8e-33 relative error = 2.6437902131165345519735429413703e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.613 Order of pole = 625.7 TOP MAIN SOLVE Loop x[1] = 0.244 y[1] (analytic) = 0.030619419712875990290570517937702 y[1] (numeric) = 0.030619419712875990290570517937689 absolute error = 1.3e-32 relative error = 4.2456715776795983494372455115107e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6119 Order of pole = 625.6 TOP MAIN SOLVE Loop x[1] = 0.245 memory used=80.1MB, alloc=4.2MB, time=7.78 y[1] (analytic) = 0.030981513001841132979843083363628 y[1] (numeric) = 0.030981513001841132979843083363614 absolute error = 1.4e-32 relative error = 4.5188238544605695781045620296132e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6109 Order of pole = 625.6 TOP MAIN SOLVE Loop x[1] = 0.246 y[1] (analytic) = 0.031345870157240460828392912405205 y[1] (numeric) = 0.031345870157240460828392912405205 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6098 Order of pole = 625.6 TOP MAIN SOLVE Loop x[1] = 0.247 y[1] (analytic) = 0.031712494480910702074914600522555 y[1] (numeric) = 0.031712494480910702074914600522534 absolute error = 2.1e-32 relative error = 6.6219956341311859752484946456009e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6088 Order of pole = 625.5 TOP MAIN SOLVE Loop x[1] = 0.248 y[1] (analytic) = 0.032081389300094641516573044006772 y[1] (numeric) = 0.032081389300094641516573044006769 absolute error = 3e-33 relative error = 9.3512159711585491323683879352896e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6078 Order of pole = 625.5 TOP MAIN SOLVE Loop x[1] = 0.249 y[1] (analytic) = 0.032452557967569060790908116458868 y[1] (numeric) = 0.032452557967569060790908116458864 absolute error = 4e-33 relative error = 1.2325684785764300428876846730428e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6067 Order of pole = 625.5 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 0.03282600386177392926516122901142 y[1] (numeric) = 0.032826003861773929265161229011399 absolute error = 2.1e-32 relative error = 6.3973671874372198750549630297301e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6057 Order of pole = 625.4 TOP MAIN SOLVE Loop x[1] = 0.251 y[1] (analytic) = 0.03320173038694285669080168903584 y[1] (numeric) = 0.033201730386942856690801689035832 absolute error = 8e-33 relative error = 2.4095129701872814483520838203217e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6047 Order of pole = 625.4 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 0.033579740973234818919069418314475 y[1] (numeric) = 0.033579740973234818919069418314463 absolute error = 1.2e-32 relative error = 3.5735832535351479598561911605448e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6037 Order of pole = 625.4 TOP MAIN SOLVE Loop x[1] = 0.253 y[1] (analytic) = 0.03396003907686716811314484027271 y[1] (numeric) = 0.033960039076867168113144840272698 absolute error = 1.2e-32 relative error = 3.5335648386147282549205602118521e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6026 Order of pole = 625.4 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 0.034342628180249939034133498289188 y[1] (numeric) = 0.034342628180249939034133498289177 absolute error = 1.1e-32 relative error = 3.2030163627156458700590066677270e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6016 Order of pole = 625.3 TOP MAIN SOLVE Loop x[1] = 0.255 y[1] (analytic) = 0.034727511792121463121439564767668 y[1] (numeric) = 0.034727511792121463121439564767651 absolute error = 1.7e-32 relative error = 4.8952542588601882271438757138789e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.6006 Order of pole = 625.3 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 0.035114693447685302233326633154342 y[1] (numeric) = 0.035114693447685302233326633154328 absolute error = 1.4e-32 relative error = 3.9869349908628790697650873678282e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5996 Order of pole = 625.3 TOP MAIN SOLVE Loop x[1] = 0.257 y[1] (analytic) = 0.035504176708748514060554298456995 y[1] (numeric) = 0.035504176708748514060554298456992 absolute error = 3e-33 relative error = 8.4497100851257759911010608115637e-30 % Correct digits = 31 h = 0.001 memory used=83.9MB, alloc=4.2MB, time=8.15 Real estimate of pole used for equation 1 Radius of convergence = 0.5986 Order of pole = 625.3 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 0.035895965163861261374963737022515 y[1] (numeric) = 0.035895965163861261374963737022503 absolute error = 1.2e-32 relative error = 3.3429941067808810515002066969746e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5976 Order of pole = 625.3 TOP MAIN SOLVE Loop x[1] = 0.259 y[1] (analytic) = 0.036290062428457777425793977861692 y[1] (numeric) = 0.036290062428457777425793977861678 absolute error = 1.4e-32 relative error = 3.8578054329886032831950039054412e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5965 Order of pole = 625.3 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = 0.036686472144998699949372482536388 y[1] (numeric) = 0.036686472144998699949372482536377 absolute error = 1.1e-32 relative error = 2.9983804265844569679965099081760e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5955 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.261 y[1] (analytic) = 0.037085197983114786412669176743925 y[1] (numeric) = 0.037085197983114786412669176743913 absolute error = 1.2e-32 relative error = 3.2357923518336627186125019869682e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5945 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 0.037486243639752023268062862953708 y[1] (numeric) = 0.037486243639752023268062862953686 absolute error = 2.2e-32 relative error = 5.8688195625635465964082723572360e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5935 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.263 y[1] (analytic) = 0.037889612839318142155574158326718 y[1] (numeric) = 0.037889612839318142155574158326714 absolute error = 4e-33 relative error = 1.0556983036388248344446051824163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5925 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 0.038295309333830556149801433625252 y[1] (numeric) = 0.038295309333830556149801433625236 absolute error = 1.6e-32 relative error = 4.1780573857032144408316560674057e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5915 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.265 y[1] (analytic) = 0.03870333690306572931188789395837 y[1] (numeric) = 0.038703336903065729311887893958356 absolute error = 1.4e-32 relative error = 3.6172591616747770024800782936780e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5905 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.266 y[1] (analytic) = 0.03911369935470999297208169711485 y[1] (numeric) = 0.039113699354709992972081697114827 absolute error = 2.3e-32 relative error = 5.8802926799176274489568199391009e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5895 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 0.039526400524511822335860155178882 y[1] (numeric) = 0.039526400524511822335860155178875 absolute error = 7e-33 relative error = 1.7709682407481131786925914180701e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5885 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.268 y[1] (analytic) = 0.03994144427643558717620747488404 y[1] (numeric) = 0.039941444276435587176207474884033 absolute error = 7e-33 relative error = 1.7525655686241215508529692445431e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5875 Order of pole = 625.2 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 0.04035883450281679054649759655193 y[1] (numeric) = 0.040358834502816790546497596551911 absolute error = 1.9e-32 relative error = 4.7077672668356963000917774909310e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5865 Order of pole = 625.1 memory used=87.7MB, alloc=4.2MB, time=8.54 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (analytic) = 0.040778575124518809622574506106868 y[1] (numeric) = 0.040778575124518809622574506106851 absolute error = 1.7e-32 relative error = 4.1688558141352177346985266945616e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5855 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 0.041200670091091152959077526950632 y[1] (numeric) = 0.041200670091091152959077526950613 absolute error = 1.9e-32 relative error = 4.6115754811736380127333024817060e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5844 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.272 y[1] (analytic) = 0.04162512338092924862386475879911 y[1] (numeric) = 0.041625123380929248623864758799102 absolute error = 8e-33 relative error = 1.9219162251577225713580295548878e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5834 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 0.042051939001435777855580843710575 y[1] (numeric) = 0.04205193900143577785558084371057 absolute error = 5e-33 relative error = 1.1890058148874621876729091118575e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5824 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.274 y[1] (analytic) = 0.042481120989183569073033056331042 y[1] (numeric) = 0.042481120989183569073033056331028 absolute error = 1.4e-32 relative error = 3.2955815840087277962277575522836e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5814 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 0.042912673410080067251120424686405 y[1] (numeric) = 0.042912673410080067251120424686389 absolute error = 1.6e-32 relative error = 3.7285022648441298561561152771564e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5804 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.276 y[1] (analytic) = 0.043346600359533393866642928630538 y[1] (numeric) = 0.043346600359533393866642928630521 absolute error = 1.7e-32 relative error = 3.9218761930567689734722109617203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5794 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.277 y[1] (analytic) = 0.043782905962620012808441196812698 y[1] (numeric) = 0.04378290596262001280844119681269 absolute error = 8e-33 relative error = 1.8271971273058166859720199394713e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5784 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.278 y[1] (analytic) = 0.044221594374254017840021606443668 y[1] (numeric) = 0.04422159437425401784002160644365 absolute error = 1.8e-32 relative error = 4.0704095487067443146014098288774e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5774 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 0.044662669779358057399148048010905 y[1] (numeric) = 0.044662669779358057399148048010893 absolute error = 1.2e-32 relative error = 2.6868075865778388371595580427303e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5764 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (analytic) = 0.045106136393035912717871315509322 y[1] (numeric) = 0.045106136393035912717871315509311 absolute error = 1.1e-32 relative error = 2.4386925770255788957505449588624e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5754 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.281 y[1] (analytic) = 0.045551998460746745448162302559205 y[1] (numeric) = 0.045551998460746745448162302559202 absolute error = 3e-33 relative error = 6.5858800960953936600589281152775e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5744 Order of pole = 625.1 memory used=91.5MB, alloc=4.2MB, time=8.93 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 0.046000260258481031182758835323258 y[1] (numeric) = 0.046000260258481031182758835323236 absolute error = 2.2e-32 relative error = 4.7825816367949521764771367824758e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5734 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.283 y[1] (analytic) = 0.04645092609293819546807170627899 y[1] (numeric) = 0.046450926092938195468071706278979 absolute error = 1.1e-32 relative error = 2.3680905689568801236855501059001e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5724 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 0.046904000301705969116067697374382 y[1] (numeric) = 0.046904000301705969116067697374374 absolute error = 8e-33 relative error = 1.7056114507378228790653886580822e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5714 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.285 y[1] (analytic) = 0.047359487253441479835001277081785 y[1] (numeric) = 0.047359487253441479835001277081773 absolute error = 1.2e-32 relative error = 2.5338112162791614639678178991876e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5704 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.286 y[1] (analytic) = 0.047817391348054097414748189962942 y[1] (numeric) = 0.047817391348054097414748189962923 absolute error = 1.9e-32 relative error = 3.9734497144987384610183500039550e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5694 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.287 y[1] (analytic) = 0.048277717016890049921350097795898 y[1] (numeric) = 0.048277717016890049921350097795897 absolute error = 1e-33 relative error = 2.0713489820783118698044400789382e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5684 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.288 y[1] (analytic) = 0.048740468722918828577257363533795 y[1] (numeric) = 0.048740468722918828577257363533786 absolute error = 9e-33 relative error = 1.8465148645088848387492683568826e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5674 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.289 y[1] (analytic) = 0.0492056509609213992287054118993 y[1] (numeric) = 0.049205650960921399228705411899289 absolute error = 1.1e-32 relative error = 2.2355155932671396093771896370333e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5664 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 0.04967326825768023852972812112859 y[1] (numeric) = 0.049673268257680238529728121128584 absolute error = 6e-33 relative error = 1.2078931406073344602549529827163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5654 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.291 y[1] (analytic) = 0.050143325172171213203549533016678 y[1] (numeric) = 0.050143325172171213203549533016674 absolute error = 4e-33 relative error = 7.9771335192982763726919793499838e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5644 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 0.050615826295757320976553829556972 y[1] (numeric) = 0.050615826295757320976553829556955 absolute error = 1.7e-32 relative error = 3.3586333058490364519481009256878e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5634 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.293 y[1] (analytic) = 0.051090776252384312017764930781845 y[1] (numeric) = 0.051090776252384312017764930781836 absolute error = 9e-33 relative error = 1.7615704164565294990189843263820e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5624 Order of pole = 625.1 memory used=95.3MB, alloc=4.2MB, time=9.30 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 0.05156817969877820995782405432026 y[1] (numeric) = 0.051568179698778209957824054320236 absolute error = 2.4e-32 relative error = 4.6540328047624735324295144220997e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5614 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.295 y[1] (analytic) = 0.05204804132464475180588991288878 y[1] (numeric) = 0.052048041324644751805889912888762 absolute error = 1.8e-32 relative error = 3.4583433961955833550497402217422e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5604 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 0.052530365852870766330756635811088 y[1] (numeric) = 0.052530365852870766330756635811066 absolute error = 2.2e-32 relative error = 4.1880538318766930131336992673579e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5594 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 0.053015158039727510723844682091812 y[1] (numeric) = 0.053015158039727510723844682091791 absolute error = 2.1e-32 relative error = 3.9611312644326008650902710500073e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5584 Order of pole = 625.1 TOP MAIN SOLVE Loop x[1] = 0.298 y[1] (analytic) = 0.0535024226750759856166266551373 y[1] (numeric) = 0.053502422675075985616626655137299 absolute error = 1e-33 relative error = 1.8690742400079171226305968694728e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5574 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.299 y[1] (analytic) = 0.053992164582574248783560734318215 y[1] (numeric) = 0.053992164582574248783560734318205 absolute error = 1.0e-32 relative error = 1.8521205951478854528808886029797e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5564 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 0.054484388619886748123778139479442 y[1] (numeric) = 0.054484388619886748123778139479439 absolute error = 3e-33 relative error = 5.5061643821125726242399052580022e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5554 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.301 y[1] (analytic) = 0.054979099678895694780667426836772 y[1] (numeric) = 0.054979099678895694780667426836753 absolute error = 1.9e-32 relative error = 3.4558587010280471511864735394718e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5544 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.302 y[1] (analytic) = 0.0554763026859144975281783373315 y[1] (numeric) = 0.055476302685914497528178337331486 absolute error = 1.4e-32 relative error = 2.5236000458182332090285819467652e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5534 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 0.05597600260190327982619333495889 y[1] (numeric) = 0.055976002601903279826193334958877 absolute error = 1.3e-32 relative error = 2.3224237880033930407245914251558e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5524 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.304 y[1] (analytic) = 0.056478204422686501224748952819068 y[1] (numeric) = 0.056478204422686501224748952819053 absolute error = 1.5e-32 relative error = 2.6558917999125890664555608180802e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5514 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 0.056982913179172705078295817421518 y[1] (numeric) = 0.056982913179172705078295817421512 absolute error = 6e-33 relative error = 1.0529472196575945204710445868083e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5504 Order of pole = 625 memory used=99.1MB, alloc=4.2MB, time=9.69 TOP MAIN SOLVE Loop x[1] = 0.306 y[1] (analytic) = 0.057490133937576414816631117433638 y[1] (numeric) = 0.057490133937576414816631117433626 absolute error = 1.2e-32 relative error = 2.0873146709015787850402347068760e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5494 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 0.057999871799642201308686876796008 y[1] (numeric) = 0.057999871799642201308686876795999 absolute error = 9e-33 relative error = 1.5517275677936102971357093487615e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5484 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.308 y[1] (analytic) = 0.058512131902870944149079447792088 y[1] (numeric) = 0.058512131902870944149079447792072 absolute error = 1.6e-32 relative error = 2.7344756514016108363299668742243e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5474 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.309 y[1] (analytic) = 0.05902691942074830999528915410243 y[1] (numeric) = 0.059026919420748309995289154102411 absolute error = 1.9e-32 relative error = 3.2188703368655535903856210376159e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5464 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = 0.059544239562975471385614241783412 y[1] (numeric) = 0.05954423956297547138561424178339 absolute error = 2.2e-32 relative error = 3.6947318769151887212836219348074e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5454 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 0.06006409757570208977470177541572 y[1] (numeric) = 0.060064097575702089774701775415708 absolute error = 1.2e-32 relative error = 1.9978656942070492586580706094738e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5444 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.312 y[1] (analytic) = 0.060586498741761586834572694502885 y[1] (numeric) = 0.060586498741761586834572694502874 absolute error = 1.1e-32 relative error = 1.8155860180805966734349527922092e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5434 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.313 y[1] (analytic) = 0.061111448380908728384703104430852 y[1] (numeric) = 0.061111448380908728384703104430839 absolute error = 1.3e-32 relative error = 2.1272609870037398311690638394214e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5424 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 0.06163895185005954563497456264817 y[1] (numeric) = 0.061638951850059545634974562648161 absolute error = 9e-33 relative error = 1.4601156784581673006626554777046e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5414 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.315 y[1] (analytic) = 0.06216901454353361875023957048444 y[1] (numeric) = 0.06216901454353361875023957048442 absolute error = 2.0e-32 relative error = 3.2170366776515453975803375534945e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5404 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 0.062701641893298748074943049391798 y[1] (numeric) = 0.062701641893298748074943049391787 absolute error = 1.1e-32 relative error = 1.7543400248942488134274366348582e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5394 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.317 y[1] (analytic) = 0.063236839369218038690776070438108 y[1] (numeric) = 0.063236839369218038690776070438087 absolute error = 2.1e-32 relative error = 3.3208490825084191031145358251251e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5384 Order of pole = 625 memory used=103.0MB, alloc=4.2MB, time=10.10 TOP MAIN SOLVE Loop x[1] = 0.318 y[1] (analytic) = 0.0637746124792994243197957981432 y[1] (numeric) = 0.063774612479299424319795798143184 absolute error = 1.6e-32 relative error = 2.5088353151802268545505822974927e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5374 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.319 y[1] (analytic) = 0.064314966769947656929908292522105 y[1] (numeric) = 0.064314966769947656929908292522098 absolute error = 7e-33 relative error = 1.0883936277287914062299930797919e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5364 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 0.064857907826218788749162813454618 y[1] (numeric) = 0.064857907826218788749162813454595 absolute error = 2.3e-32 relative error = 3.5462136801616436455640747909580e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5354 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.321 y[1] (analytic) = 0.065403441272077173750033486544065 y[1] (numeric) = 0.06540344127207717375003348654406 absolute error = 5e-33 relative error = 7.6448576753019574303833990116064e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5344 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.322 y[1] (analytic) = 0.06595157277065501602485411943231 y[1] (numeric) = 0.065951572770655016024854119432299 absolute error = 1.1e-32 relative error = 1.6678904744625623127732649101437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5334 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.323 y[1] (analytic) = 0.066502308024514492838913737820598 y[1] (numeric) = 0.066502308024514492838913737820589 absolute error = 9e-33 relative error = 1.3533364882136668452325804688696e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5324 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.324 y[1] (analytic) = 0.06705565277591248051850484649307 y[1] (numeric) = 0.067055652775912480518504846493064 absolute error = 6e-33 relative error = 8.9477915009654503295785086363762e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5314 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.325 y[1] (analytic) = 0.06761161280706791170753602187231 y[1] (numeric) = 0.067611612807067911707536021872288 absolute error = 2.2e-32 relative error = 3.2538788954462253451816970210778e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5304 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 0.068170193940431792908269457990355 y[1] (numeric) = 0.06817019394043179290826945799035 absolute error = 5e-33 relative error = 7.3345837982639158490092682903950e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5294 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.327 y[1] (analytic) = 0.068731402038959911609418541832495 y[1] (numeric) = 0.068731402038959911609418541832475 absolute error = 2.0e-32 relative error = 2.9098780770779476799099538764663e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5284 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 0.06929524300638826269833826405612 y[1] (numeric) = 0.069295243006388262698338264056107 absolute error = 1.3e-32 relative error = 1.8760306531866180678132373275098e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5274 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.329 y[1] (analytic) = 0.069861722787511224253461964834408 y[1] (numeric) = 0.069861722787511224253461964834391 absolute error = 1.7e-32 relative error = 2.4333782966827997527390519047175e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5264 Order of pole = 625 memory used=106.8MB, alloc=4.2MB, time=10.51 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = 0.070430847368462513218583148907245 y[1] (numeric) = 0.070430847368462513218583148907233 absolute error = 1.2e-32 relative error = 1.7037988961316051858967569516737e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5254 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 0.071002622776998951872154384462105 y[1] (numeric) = 0.071002622776998951872154384462088 absolute error = 1.7e-32 relative error = 2.3942777513152781419425634029080e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5244 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.332 y[1] (analytic) = 0.07157705508278707642258210202729 y[1] (numeric) = 0.071577055082787076422582102027271 absolute error = 1.9e-32 relative error = 2.6544819395020261843978045524509e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5234 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.333 y[1] (analytic) = 0.072154150397692619484643917559318 y[1] (numeric) = 0.072154150397692619484643917559301 absolute error = 1.7e-32 relative error = 2.3560668244724608757040348354510e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5225 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.334 y[1] (analytic) = 0.072733914876072898622753456707838 y[1] (numeric) = 0.072733914876072898622753456707817 absolute error = 2.1e-32 relative error = 2.8872363100186044830907675913936e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5215 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.335 y[1] (analytic) = 0.073316354715072143583958189483712 y[1] (numeric) = 0.0733163547150721435839581894837 absolute error = 1.2e-32 relative error = 1.6367425858303178940835480175960e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5205 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.336 y[1] (analytic) = 0.073901476154919795287392271467472 y[1] (numeric) = 0.073901476154919795287392271467457 absolute error = 1.5e-32 relative error = 2.0297294154930645020272135869285e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5195 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 0.074489285479231810087534790441305 y[1] (numeric) = 0.074489285479231810087534790441302 absolute error = 3e-33 relative error = 4.0274248580843526054613462491421e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5185 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.338 y[1] (analytic) = 0.075079789015315003286162329404145 y[1] (numeric) = 0.075079789015315003286162329404141 absolute error = 4e-33 relative error = 5.3276654775682279248742826552016e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5175 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 0.075672993134474466332453851624682 y[1] (numeric) = 0.075672993134474466332453851624673 absolute error = 9e-33 relative error = 1.1893278734206504680929668338513e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5165 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (analytic) = 0.076268904252324092622428392360612 y[1] (numeric) = 0.076268904252324092622428392360603 absolute error = 9e-33 relative error = 1.1800353090461174239833255572900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5155 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.341 y[1] (analytic) = 0.076867528829100247287897084843305 y[1] (numeric) = 0.076867528829100247287897084843286 absolute error = 1.9e-32 relative error = 2.4717849382465180414974768906803e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5145 Order of pole = 625 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.2MB, time=10.91 x[1] = 0.342 y[1] (analytic) = 0.077468873369978616851518263741472 y[1] (numeric) = 0.07746887336997861685151826374147 absolute error = 2e-33 relative error = 2.5816820524139139741649685531293e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5135 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 0.078072944425394275118487867187678 y[1] (numeric) = 0.078072944425394275118487867187668 absolute error = 1.0e-32 relative error = 1.2808534471958976761153611929440e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5125 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.344 y[1] (analytic) = 0.078679748591365002177009722419838 y[1] (numeric) = 0.078679748591365002177009722419828 absolute error = 1.0e-32 relative error = 1.2709750830466541052875548391525e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5115 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.345 y[1] (analytic) = 0.07928929250981789388910676274604 y[1] (numeric) = 0.079289292509817893889106762746023 absolute error = 1.7e-32 relative error = 2.1440473816682116354306517487571e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5105 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.346 y[1] (analytic) = 0.079901582868919299770692642002915 y[1] (numeric) = 0.079901582868919299770692642002908 absolute error = 7e-33 relative error = 8.7607776325078423868320795154453e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5095 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.347 y[1] (analytic) = 0.080516626403408127685264145712492 y[1] (numeric) = 0.080516626403408127685264145712483 absolute error = 9e-33 relative error = 1.1177815566821917631982873080195e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5085 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 0.081134429894932554309241564602398 y[1] (numeric) = 0.081134429894932554309241564602388 absolute error = 1.0e-32 relative error = 1.2325223721852483267857842076308e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5075 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.349 y[1] (analytic) = 0.081755000172390180869022934825045 y[1] (numeric) = 0.081755000172390180869022934825034 absolute error = 1.1e-32 relative error = 1.3454834538322043182385007397014e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5065 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 0.082378344112271674200377780050052 y[1] (numeric) = 0.082378344112271674200377780050035 absolute error = 1.7e-32 relative error = 2.0636491523586666746117402904036e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5055 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.351 y[1] (analytic) = 0.083004468639007933740038677452185 y[1] (numeric) = 0.083004468639007933740038677452176 absolute error = 9e-33 relative error = 1.0842789728757388571528784446493e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5045 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.352 y[1] (analytic) = 0.083633380725320825627409584387308 y[1] (numeric) = 0.083633380725320825627409584387305 absolute error = 3e-33 relative error = 3.5870844559697687789344394130892e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5035 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.353 y[1] (analytic) = 0.084265087392577525671356450951565 y[1] (numeric) = 0.084265087392577525671356450951554 absolute error = 1.1e-32 relative error = 1.3054042119190791849991308322367e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5025 Order of pole = 625 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.2MB, time=11.29 x[1] = 0.354 y[1] (analytic) = 0.08489959571114851352323939245404 y[1] (numeric) = 0.084899595711148513523239392454024 absolute error = 1.6e-32 relative error = 1.8845790567055638511209575002867e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5015 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.355 y[1] (analytic) = 0.08553691280076926099285100188719 y[1] (numeric) = 0.085536912800769260992851001887172 absolute error = 1.8e-32 relative error = 2.1043546476741816902985016162945e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.5005 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 0.086177045830905658048909923080858 y[1] (numeric) = 0.086177045830905658048909923080854 absolute error = 4e-33 relative error = 4.6416072417342957211189975185649e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4995 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.357 y[1] (analytic) = 0.086820002021123220660393610489625 y[1] (numeric) = 0.086820002021123220660393610489611 absolute error = 1.4e-32 relative error = 1.6125316371904499426959279965059e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4985 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.358 y[1] (analytic) = 0.087465788641460125259453728372322 y[1] (numeric) = 0.087465788641460125259453728372302 absolute error = 2.0e-32 relative error = 2.2866083197379064463652177899900e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4975 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.359 y[1] (analytic) = 0.088114413012804115241119849899682 y[1] (numeric) = 0.088114413012804115241119849899668 absolute error = 1.4e-32 relative error = 1.5888433595949423906808337000634e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4965 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (analytic) = 0.0887658825072733255596435450241 y[1] (numeric) = 0.088765882507273325559643545024088 absolute error = 1.2e-32 relative error = 1.3518707482029191106589997054420e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4955 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 0.089420204548601072136350793931962 y[1] (numeric) = 0.089420204548601072136350793931949 absolute error = 1.3e-32 relative error = 1.4538101389529171627447027555259e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4945 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.362 y[1] (analytic) = 0.090077386612524653459444870751055 y[1] (numeric) = 0.090077386612524653459444870751049 absolute error = 6e-33 relative error = 6.6609392497247921287137149294282e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4935 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.363 y[1] (analytic) = 0.090737436227178212432527174476172 y[1] (numeric) = 0.090737436227178212432527174476166 absolute error = 6e-33 relative error = 6.6124857054346049375224577530664e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4925 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.364 y[1] (analytic) = 0.091400360973489707215876615184925 y[1] (numeric) = 0.091400360973489707215876615184919 absolute error = 6e-33 relative error = 6.5645254965024426205616702608723e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4915 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 0.092066168485582040502949765225625 y[1] (numeric) = 0.092066168485582040502949765225613 absolute error = 1.2e-32 relative error = 1.3034103837914414579068716730826e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4905 Order of pole = 625 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.3MB, time=11.66 x[1] = 0.366 y[1] (analytic) = 0.092734866451178397384338815789732 y[1] (numeric) = 0.092734866451178397384338815789723 absolute error = 9e-33 relative error = 9.7050875732248768466192432821440e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4895 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 0.093406462612011842672761376525328 y[1] (numeric) = 0.093406462612011842672761376525313 absolute error = 1.5e-32 relative error = 1.6058846016154600293661588062997e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4885 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.368 y[1] (analytic) = 0.09408096476423922929576852985211 y[1] (numeric) = 0.094080964764239229295768529852104 absolute error = 6e-33 relative error = 6.3774856210665029336996386849027e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4875 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.369 y[1] (analytic) = 0.09475838075885947010796288191076 y[1] (numeric) = 0.094758380758859470107962881910748 absolute error = 1.2e-32 relative error = 1.2663787523488317448713495025308e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4865 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = 0.095438718502136226231838686160785 y[1] (numeric) = 0.095438718502136226231838686160772 absolute error = 1.3e-32 relative error = 1.3621306115619121693926660514634e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4855 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 0.09612198595602506580611807033101 y[1] (numeric) = 0.096121985956025065806118070331003 absolute error = 7e-33 relative error = 7.2824129988350805860008243120856e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4845 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.372 y[1] (analytic) = 0.096808191138605147802892262498435 y[1] (numeric) = 0.096808191138605147802892262498417 absolute error = 1.8e-32 relative error = 1.8593467957921552583540599712914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4835 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 0.097497342124515486370220556577055 y[1] (numeric) = 0.097497342124515486370220556577031 absolute error = 2.4e-32 relative error = 2.4616055655495919648142891613241e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4825 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.374 y[1] (analytic) = 0.098189447045395851965333538702505 y[1] (numeric) = 0.098189447045395851965333538702483 absolute error = 2.2e-32 relative error = 2.2405666456018187803603364893190e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4815 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.375 y[1] (analytic) = 0.098884514090332366365476771032512 y[1] (numeric) = 0.098884514090332366365476771032497 absolute error = 1.5e-32 relative error = 1.5169210404671952255842315825898e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4805 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.376 y[1] (analytic) = 0.09958255150630784947896776978744 y[1] (numeric) = 0.099582551506307849478967769787423 absolute error = 1.7e-32 relative error = 1.7071263733308912434870942147033e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4795 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.377 y[1] (analytic) = 0.10028356759865697672847902297692 y[1] (numeric) = 0.10028356759865697672847902297691 absolute error = 1e-32 relative error = 9.9717234233437089708675404619669e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4785 Order of pole = 625 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.3MB, time=12.04 x[1] = 0.378 y[1] (analytic) = 0.10098757073152630664216462509892 y[1] (numeric) = 0.10098757073152630664216462509891 absolute error = 1e-32 relative error = 9.9022086852498169119153636356980e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4775 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.379 y[1] (analytic) = 0.10169456932833923916628499117124 y[1] (numeric) = 0.10169456932833923916628499117122 absolute error = 2e-32 relative error = 1.9666733565119290336366857993117e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4765 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 0.1024045718722659661057257822598 y[1] (numeric) = 0.10240457187226596610572578225979 absolute error = 1e-32 relative error = 9.7651890117498560924687060889083e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4755 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.381 y[1] (analytic) = 0.10311758690669847600653209173264 y[1] (numeric) = 0.10311758690669847600653209173264 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4745 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 0.10383362303573067671757143218573 y[1] (numeric) = 0.10383362303573067671757143218573 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4735 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.383 y[1] (analytic) = 0.1045526889246436998069894538043 y[1] (numeric) = 0.1045526889246436998069894538043 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4725 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 0.1052747933003964519635270819921 y[1] (numeric) = 0.1052747933003964519635270819921 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4715 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.385 y[1] (analytic) = 0.10599994495212147948332963447959 y[1] (numeric) = 0.10599994495212147948332963447959 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4705 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.386 y[1] (analytic) = 0.10672815273162621292990664462923 y[1] (numeric) = 0.10672815273162621292990664462922 absolute error = 1e-32 relative error = 9.3695990645931517646826361763215e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4695 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.387 y[1] (analytic) = 0.1074594255538996600587113374739 y[1] (numeric) = 0.10745942555389966005871133747389 absolute error = 1e-32 relative error = 9.3058379462341206927122872262617e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4685 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 0.10819377239762461611872347216127 y[1] (numeric) = 0.10819377239762461611872347216127 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4675 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.389 y[1] (analytic) = 0.10893120230569546168176796618731 y[1] (numeric) = 0.10893120230569546168176796618732 absolute error = 1e-32 relative error = 9.1801061480408819209302955860268e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4665 Order of pole = 625 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.3MB, time=12.42 x[1] = 0.39 y[1] (analytic) = 0.10967172438574161920642079608678 y[1] (numeric) = 0.10967172438574161920642079608678 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4655 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.391 y[1] (analytic) = 0.1104153478106567406175867915348 y[1] (numeric) = 0.11041534781065674061758679153481 absolute error = 1e-32 relative error = 9.0567119501794927996299669921090e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4645 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.392 y[1] (analytic) = 0.11116208181913369927553216394524 y[1] (numeric) = 0.11116208181913369927553216394525 absolute error = 1e-32 relative error = 8.9958732657332769222450819340583e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4635 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 0.11191193571620546081967656429846 y[1] (numeric) = 0.11191193571620546081967656429846 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4625 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.394 y[1] (analytic) = 0.11266491887379190850316152455607 y[1] (numeric) = 0.11266491887379190850316152455607 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4615 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 0.11342104073125269978448861250933 y[1] (numeric) = 0.11342104073125269978448861250933 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4605 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.396 y[1] (analytic) = 0.1141803107959462321127439540274 y[1] (numeric) = 0.1141803107959462321127439540274 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4595 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 0.11494273864379479703348669945494 y[1] (numeric) = 0.11494273864379479703348669945494 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4585 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.398 y[1] (analytic) = 0.11570833391985600295367679913655 y[1] (numeric) = 0.11570833391985600295367679913656 absolute error = 1e-32 relative error = 8.6424198337575067810564679990456e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4575 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 0.11647710633890054813646009495594 y[1] (numeric) = 0.11647710633890054813646009495594 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4565 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = 0.11724906568599642675063315015026 y[1] (numeric) = 0.11724906568599642675063315015026 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4555 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.401 y[1] (analytic) = 0.11802422181709965207560249543746 y[1] (numeric) = 0.11802422181709965207560249543747 absolute error = 1e-32 relative error = 8.4728370550045637688428247391135e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4545 Order of pole = 625 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.3MB, time=12.80 x[1] = 0.402 y[1] (analytic) = 0.11880258465965158226106850108913 y[1] (numeric) = 0.11880258465965158226106850108913 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4535 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 0.11958416421318293536194792304177 y[1] (numeric) = 0.11958416421318293536194792304177 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4525 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.404 y[1] (analytic) = 0.12036897054992458171365617633114 y[1] (numeric) = 0.12036897054992458171365617633115 absolute error = 1e-32 relative error = 8.3077889212754969366459269878651e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4516 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 0.12115701381542520308126548911967 y[1] (numeric) = 0.12115701381542520308126548911967 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4506 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.406 y[1] (analytic) = 0.12194830422917590940871352737941 y[1] (numeric) = 0.12194830422917590940871352737941 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4496 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 0.12274285208524190541164466216444 y[1] (numeric) = 0.12274285208524190541164466216445 absolute error = 1e-32 relative error = 8.1471139297425196297621918222587e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4486 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.408 y[1] (analytic) = 0.12354066775290130070011941194528 y[1] (numeric) = 0.1235406677529013007001194119453 absolute error = 2e-32 relative error = 1.6189001050247527417291970671118e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4476 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.409 y[1] (analytic) = 0.1243417616772911585858344565938 y[1] (numeric) = 0.12434176167729115858583445659382 absolute error = 2e-32 relative error = 1.6084700530387168493358306772725e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4466 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 0.12514614438006088022317507667169 y[1] (numeric) = 0.1251461443800608802231750766717 absolute error = 1e-32 relative error = 7.9906576822939395376439986816777e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4456 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.411 y[1] (analytic) = 0.12595382646003302225490465603081 y[1] (numeric) = 0.12595382646003302225490465603082 absolute error = 1e-32 relative error = 7.9394173889374811339509982512829e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4446 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 0.12676481859387164768212466475606 y[1] (numeric) = 0.12676481859387164768212466475607 absolute error = 1e-32 relative error = 7.8886240763992563126142363139922e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4436 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.413 y[1] (analytic) = 0.12757913153675831125486820944673 y[1] (numeric) = 0.12757913153675831125486820944674 absolute error = 1e-32 relative error = 7.8382725133371701880120901257222e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4426 Order of pole = 625 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.3MB, time=13.18 x[1] = 0.414 y[1] (analytic) = 0.1283967761230757822848882277957 y[1] (numeric) = 0.12839677612307578228488822779572 absolute error = 2e-32 relative error = 1.5576715088881075993739432448983e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4416 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.415 y[1] (analytic) = 0.12921776326709960941644798835709 y[1] (numeric) = 0.12921776326709960941644798835711 absolute error = 2e-32 relative error = 1.5477748178212151118522265581085e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4406 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 0.13004210396369763355481017381379 y[1] (numeric) = 0.1300421039636976335548101738138 absolute error = 1e-32 relative error = 7.6898171401406928921873571108074e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4396 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.417 y[1] (analytic) = 0.13086980928903755684625841142759 y[1] (numeric) = 0.1308698092890375568462584114276 absolute error = 1e-32 relative error = 7.6411817624904724354840850589738e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4386 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 0.13170089040130267732849243546835 y[1] (numeric) = 0.13170089040130267732849243546835 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4376 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.419 y[1] (analytic) = 0.13253535854141590062675007207776 y[1] (numeric) = 0.13253535854141590062675007207777 absolute error = 1e-32 relative error = 7.5451563341680669694706524592929e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4366 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 0.13337322503377214185967541426472 y[1] (numeric) = 0.13337322503377214185967541426473 absolute error = 1e-32 relative error = 7.4977567629993553426532577072440e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4356 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.421 y[1] (analytic) = 0.13421450128697923274043729588975 y[1] (numeric) = 0.13421450128697923274043729588976 absolute error = 1e-32 relative error = 7.4507597197845759772475464582049e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4346 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 0.13505919879460745071358515341637 y[1] (numeric) = 0.13505919879460745071358515341638 absolute error = 1e-32 relative error = 7.4041606119754895290005921451064e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4336 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.423 y[1] (analytic) = 0.13590732913594778885730592785968 y[1] (numeric) = 0.13590732913594778885730592785969 absolute error = 1e-32 relative error = 7.3579549120540975328452856361057e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4326 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 0.13675890397677908720482722024606 y[1] (numeric) = 0.13675890397677908720482722024608 absolute error = 2e-32 relative error = 1.4624276312857764968293260645246e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4316 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 0.13761393507014414809842636349008 y[1] (numeric) = 0.13761393507014414809842636349008 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4306 Order of pole = 625 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.3MB, time=13.55 x[1] = 0.426 y[1] (analytic) = 0.13847243425713496018559720222546 y[1] (numeric) = 0.13847243425713496018559720222547 absolute error = 1e-32 relative error = 7.2216539368626993475874664819127e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4296 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.427 y[1] (analytic) = 0.13933441346768715770015830159899 y[1] (numeric) = 0.139334413467687157700158301599 absolute error = 1e-32 relative error = 7.1769778557391965025349367795964e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4286 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.428 y[1] (analytic) = 0.14019988472138384374223793435189 y[1] (numeric) = 0.14019988472138384374223793435189 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4276 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 0.14106886012826890838094065409517 y[1] (numeric) = 0.14106886012826890838094065409518 absolute error = 1e-32 relative error = 7.0887366573369593201747718171566e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4266 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = 0.14194135188966997455290438642898 y[1] (numeric) = 0.14194135188966997455290438642898 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4256 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 0.14281737229903110691973178016084 y[1] (numeric) = 0.14281737229903110691973178016084 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4246 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.432 y[1] (analytic) = 0.14369693374275542107828076381651 y[1] (numeric) = 0.14369693374275542107828076381651 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4236 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 0.14458004870105773279090274820292 y[1] (numeric) = 0.14458004870105773279090274820292 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4226 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.434 y[1] (analytic) = 0.14546672974882738921881932465521 y[1] (numeric) = 0.14546672974882738921881932465521 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4216 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 0.1463569895565014265018475123511 y[1] (numeric) = 0.1463569895565014265018475123511 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4206 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.436 y[1] (analytic) = 0.14725084089094820043255930510674 y[1] (numeric) = 0.14725084089094820043255930510675 absolute error = 1e-32 relative error = 6.7911326954022981881299048196365e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4196 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 0.14814829661636163942365554543482 y[1] (numeric) = 0.14814829661636163942365554543484 absolute error = 2e-32 relative error = 1.3499986470847603988851825569014e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4186 Order of pole = 625 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.3MB, time=13.94 x[1] = 0.438 y[1] (analytic) = 0.14904936969516627146483207527168 y[1] (numeric) = 0.14904936969516627146483207527168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4176 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 0.1499540731889331793107263245765 y[1] (numeric) = 0.14995407318893317931072632457651 absolute error = 1e-32 relative error = 6.6687084834305214525854157999886e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4166 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (analytic) = 0.15086242025930704073568785140684 y[1] (numeric) = 0.15086242025930704073568785140685 absolute error = 1e-32 relative error = 6.6285559934751726837017829962608e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4156 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.441 y[1] (analytic) = 0.15177442416894441333517453555042 y[1] (numeric) = 0.15177442416894441333517453555044 absolute error = 2e-32 relative error = 1.3177450752662670710173480705123e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4146 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 0.15269009828246342604862035190147 y[1] (numeric) = 0.15269009828246342604862035190148 absolute error = 1e-32 relative error = 6.5492131529713656670062581636658e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4136 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.443 y[1] (analytic) = 0.15360945606740504232576029130666 y[1] (numeric) = 0.15360945606740504232576029130668 absolute error = 2e-32 relative error = 1.3020031781913114819294733451544e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4126 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.444 y[1] (analytic) = 0.15453251109520606265876931750295 y[1] (numeric) = 0.15453251109520606265876931750297 absolute error = 2e-32 relative error = 1.2942260407376790406966052468016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4116 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.445 y[1] (analytic) = 0.15545927704218403705733910930397 y[1] (numeric) = 0.15545927704218403705733910930398 absolute error = 1e-32 relative error = 6.4325527496737872802179079619935e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4106 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 0.15638976769053426095417093520655 y[1] (numeric) = 0.15638976769053426095417093520656 absolute error = 1e-32 relative error = 6.3942802318039800250957202306119e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4096 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.447 y[1] (analytic) = 0.15732399692933903099552663934506 y[1] (numeric) = 0.15732399692933903099552663934507 absolute error = 1e-32 relative error = 6.3563093966468636139425493883022e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4086 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.448 y[1] (analytic) = 0.15826197875558934019670356110532 y[1] (numeric) = 0.15826197875558934019670356110533 absolute error = 1e-32 relative error = 6.3186370337523850025719967092139e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4076 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.449 y[1] (analytic) = 0.15920372727521919502686513148508 y[1] (numeric) = 0.1592037272752191950268651314851 absolute error = 2e-32 relative error = 1.2562519949941582535113286684683e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4066 Order of pole = 625 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.3MB, time=14.32 x[1] = 0.45 y[1] (analytic) = 0.16014925670415274013288027113584 y[1] (numeric) = 0.16014925670415274013288027113585 absolute error = 1e-32 relative error = 6.2441750937834328611736485664157e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4056 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.451 y[1] (analytic) = 0.16109858136936437961904731414012 y[1] (numeric) = 0.16109858136936437961904731414013 absolute error = 1e-32 relative error = 6.2073793046458627346901808507670e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4046 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 0.16205171570995208707018100661759 y[1] (numeric) = 0.16205171570995208707018100661761 absolute error = 2e-32 relative error = 1.2341739124685947016071400547575e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4036 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.453 y[1] (analytic) = 0.1630086742782240998409373474028 y[1] (numeric) = 0.16300867427822409984093734740281 absolute error = 1e-32 relative error = 6.1346428613559209251258413843637e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4026 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 0.16396947174079919653588890812468 y[1] (numeric) = 0.16396947174079919653588890812468 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4016 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.455 y[1] (analytic) = 0.16493412287972076007422710347312 y[1] (numeric) = 0.16493412287972076007422710347313 absolute error = 1e-32 relative error = 6.0630267560173479072210613368159e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.4006 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.456 y[1] (analytic) = 0.16590264259358483227157903303995 y[1] (numeric) = 0.16590264259358483227157903303996 absolute error = 1e-32 relative error = 6.0276315335718966256718505912681e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3996 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 0.16687504589868236948084439946419 y[1] (numeric) = 0.1668750458986823694808443994642 absolute error = 1e-32 relative error = 5.9925077150669170905177714380902e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3986 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.458 y[1] (analytic) = 0.16785134793015591251578115124434 y[1] (numeric) = 0.16785134793015591251578115124435 absolute error = 1e-32 relative error = 5.9576524843643603107585299136780e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3976 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 0.16883156394317088783693562384528 y[1] (numeric) = 0.1688315639431708878369356238453 absolute error = 2e-32 relative error = 1.1846126122916238755787477423089e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3966 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = 0.16981570931410176081110408931666 y[1] (numeric) = 0.16981570931410176081110408931666 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3956 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.461 y[1] (analytic) = 0.17080379954173326576455025895404 y[1] (numeric) = 0.17080379954173326576455025895406 absolute error = 2e-32 relative error = 1.1709341392673943085977365981533e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3946 Order of pole = 625 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.3MB, time=14.70 x[1] = 0.462 y[1] (analytic) = 0.17179585024847694153845354195997 y[1] (numeric) = 0.17179585024847694153845354195998 absolute error = 1e-32 relative error = 5.8208623698049162493424589902447e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3936 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.463 y[1] (analytic) = 0.1727918771816032053243367313029 y[1] (numeric) = 0.1727918771816032053243367313029 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3926 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.464 y[1] (analytic) = 0.17379189621448920170937636766562 y[1] (numeric) = 0.17379189621448920170937636766564 absolute error = 2e-32 relative error = 1.1508016447047995488893807411437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3916 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 0.17479592334788266809843883616969 y[1] (numeric) = 0.1747959233478826680984388361697 absolute error = 1e-32 relative error = 5.7209572216954862135974555984135e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3906 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.466 y[1] (analytic) = 0.17580397471118206200336353701804 y[1] (numeric) = 0.17580397471118206200336353701807 absolute error = 3e-32 relative error = 1.7064460601237954510837364878881e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3896 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.467 y[1] (analytic) = 0.17681606656373320010243462075124 y[1] (numeric) = 0.17681606656373320010243462075125 absolute error = 1e-32 relative error = 5.6555946494802883453264366888706e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3886 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.468 y[1] (analytic) = 0.17783221529614266347619971224456 y[1] (numeric) = 0.17783221529614266347619971224458 absolute error = 2e-32 relative error = 1.1246556180326578611324005515817e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3876 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 0.17885243743160822802191568838609 y[1] (numeric) = 0.17885243743160822802191568838612 absolute error = 3e-32 relative error = 1.6773604224136875491829967383821e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3866 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = 0.17987674962726658374009035652307 y[1] (numeric) = 0.17987674962726658374009035652308 absolute error = 1e-32 relative error = 5.5593621858976218981929542316372e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3856 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.471 y[1] (analytic) = 0.18090516867555861137506330333127 y[1] (numeric) = 0.1809051686755586113750633033313 absolute error = 3e-32 relative error = 1.6583274109654105461652887972020e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3846 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.472 y[1] (analytic) = 0.18193771150561248977960541410263 y[1] (numeric) = 0.18193771150561248977960541410264 absolute error = 1e-32 relative error = 5.4963866024507601128586526304260e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3836 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.473 y[1] (analytic) = 0.18297439518464491236345008948398 y[1] (numeric) = 0.18297439518464491236345008948399 absolute error = 1e-32 relative error = 5.4652455552093516331267778752950e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3826 Order of pole = 625 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.3MB, time=15.07 x[1] = 0.474 y[1] (analytic) = 0.18401523691938069607989652606788 y[1] (numeric) = 0.18401523691938069607989652606791 absolute error = 3e-32 relative error = 1.6302997785527599180714711310478e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3817 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.475 y[1] (analytic) = 0.18506025405749107160560588000349 y[1] (numeric) = 0.1850602540574910716056058800035 absolute error = 1e-32 relative error = 5.4036454510072088869219755517360e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3807 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 0.18610946408905094867896859967036 y[1] (numeric) = 0.18610946408905094867896859967038 absolute error = 2e-32 relative error = 1.0746363758497666257619742601139e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3797 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.477 y[1] (analytic) = 0.18716288464801545598454606628662 y[1] (numeric) = 0.18716288464801545598454606628664 absolute error = 2e-32 relative error = 1.0685879327844643785094263300870e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3787 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.478 y[1] (analytic) = 0.18822053351371606050774069391802 y[1] (numeric) = 0.18822053351371606050774069391803 absolute error = 1e-32 relative error = 5.3129166161200351406968924642365e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3777 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.479 y[1] (analytic) = 0.18928242861237657693775498067058 y[1] (numeric) = 0.18928242861237657693775498067059 absolute error = 1e-32 relative error = 5.2831105736066891077235996765777e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3767 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 0.19034858801864938347086328859739 y[1] (numeric) = 0.1903485880186493834708632885974 absolute error = 1e-32 relative error = 5.2535194004277305284229556142495e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3757 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.481 y[1] (analytic) = 0.1914190299571721662629165498032 y[1] (numeric) = 0.19141902995717216626291654980322 absolute error = 2e-32 relative error = 1.0448281973048746946319276408412e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3747 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 0.19249377280414552080278259944088 y[1] (numeric) = 0.19249377280414552080278259944088 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3737 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.483 y[1] (analytic) = 0.19357283508893174463012539162313 y[1] (numeric) = 0.19357283508893174463012539162314 absolute error = 1e-32 relative error = 5.1660141235239818190974172501385e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3727 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.484 y[1] (analytic) = 0.19465623549567516210465828267424 y[1] (numeric) = 0.19465623549567516210465828267425 absolute error = 1e-32 relative error = 5.1372615804142468560235698994076e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3717 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.485 y[1] (analytic) = 0.1957439928649443283529669482349 y[1] (numeric) = 0.19574399286494432835296694823492 absolute error = 2e-32 relative error = 1.0217427215658778837292193152750e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3707 Order of pole = 625 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.3MB, time=15.46 x[1] = 0.486 y[1] (analytic) = 0.19683612619539646607646966231104 y[1] (numeric) = 0.19683612619539646607646966231105 absolute error = 1e-32 relative error = 5.0803682196392851356731022411587e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3697 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.487 y[1] (analytic) = 0.19793265464546449560343874459363 y[1] (numeric) = 0.19793265464546449560343874459364 absolute error = 1e-32 relative error = 5.0522234534326465250864236682528e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3687 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.488 y[1] (analytic) = 0.19903359753506702541271057553836 y[1] (numeric) = 0.19903359753506702541271057553837 absolute error = 1e-32 relative error = 5.0242773701752214863099123184449e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3677 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 0.20013897434734167735032048232492 y[1] (numeric) = 0.20013897434734167735032048232492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3667 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (analytic) = 0.20124880473040212790646783148278 y[1] (numeric) = 0.20124880473040212790646783148279 absolute error = 1e-32 relative error = 4.9689736112451684474877332110809e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3657 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 0.20236310849911925422270058571367 y[1] (numeric) = 0.20236310849911925422270058571368 absolute error = 1e-32 relative error = 4.9416121713921601676374972000402e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3647 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.492 y[1] (analytic) = 0.20348190563692678096186510926882 y[1] (numeric) = 0.20348190563692678096186510926883 absolute error = 1e-32 relative error = 4.9144418854829393780994555550116e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3637 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.493 y[1] (analytic) = 0.20460521629765183180015992408208 y[1] (numeric) = 0.20460521629765183180015992408208 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3627 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.494 y[1] (analytic) = 0.20573306080737079709563450054547 y[1] (numeric) = 0.20573306080737079709563450054547 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3617 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.495 y[1] (analytic) = 0.20686545966629093725487169578671 y[1] (numeric) = 0.20686545966629093725487169578673 absolute error = 2e-32 relative error = 9.6681195750433113478467192306885e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3607 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.496 y[1] (analytic) = 0.20800243355065814946368685691294 y[1] (numeric) = 0.20800243355065814946368685691294 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3597 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 0.20914400331469133377288920903562 y[1] (numeric) = 0.20914400331469133377288920903563 absolute error = 1e-32 relative error = 4.7813945614081823239082809691095e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3587 Order of pole = 625 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.3MB, time=15.84 x[1] = 0.498 y[1] (analytic) = 0.21029018999254380304102653146135 y[1] (numeric) = 0.21029018999254380304102653146137 absolute error = 2e-32 relative error = 9.5106671408253205126365174127184e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3577 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 0.211441014800292189937243925683 y[1] (numeric) = 0.211441014800292189937243925683 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3567 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 0.21259649913795331310373430135607 y[1] (numeric) = 0.21259649913795331310373430135608 absolute error = 1e-32 relative error = 4.7037463178126118222589330970212e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3557 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.501 y[1] (analytic) = 0.21375666459152947367367967740669 y[1] (numeric) = 0.2137566645915294736736796774067 absolute error = 1e-32 relative error = 4.6782167092236101339116339073361e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3547 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.502 y[1] (analytic) = 0.21492153293508266264215534878314 y[1] (numeric) = 0.21492153293508266264215534878313 absolute error = 1e-32 relative error = 4.6528609132061762354065029110047e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3537 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.503 y[1] (analytic) = 0.21609112613283816909941377645172 y[1] (numeric) = 0.21609112613283816909941377645171 absolute error = 1e-32 relative error = 4.6276773039965917885687794860020e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3527 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 0.21726546634131808906365010444283 y[1] (numeric) = 0.21726546634131808906365010444283 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3517 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.505 y[1] (analytic) = 0.21844457591150524459929752205342 y[1] (numeric) = 0.21844457591150524459929752205342 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3507 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 0.2196284773910380330827867321846 y[1] (numeric) = 0.21962847739103803308278673218458 absolute error = 2e-32 relative error = 9.1062872345060032954282289276410e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3497 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.507 y[1] (analytic) = 0.22081719352643673688637040242863 y[1] (numeric) = 0.22081719352643673688637040242862 absolute error = 1e-32 relative error = 4.5286328660828565619116884165340e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3487 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 0.22201074726536183439806901447477 y[1] (numeric) = 0.22201074726536183439806901447479 absolute error = 2e-32 relative error = 9.0085728940386321547271185516805e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3477 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.509 y[1] (analytic) = 0.22320916175890486418822014603879 y[1] (numeric) = 0.22320916175890486418822014603881 absolute error = 2e-32 relative error = 8.9602056843897026340675801251682e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3467 Order of pole = 625 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.3MB, time=16.21 x[1] = 0.51 y[1] (analytic) = 0.22441246036391240527686836288257 y[1] (numeric) = 0.22441246036391240527686836288258 absolute error = 1e-32 relative error = 4.4560805508677058690335670014748e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3457 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.511 y[1] (analytic) = 0.22562066664534374785786097350536 y[1] (numeric) = 0.22562066664534374785786097350537 absolute error = 1e-32 relative error = 4.4322180891873431798150655338679e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3447 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.512 y[1] (analytic) = 0.22683380437866284050174914527395 y[1] (numeric) = 0.22683380437866284050174914527396 absolute error = 1e-32 relative error = 4.4085139899635927728333045882482e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3437 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.513 y[1] (analytic) = 0.22805189755226511179736344590949 y[1] (numeric) = 0.2280518975522651117973634459095 absolute error = 1e-32 relative error = 4.3849668024394281562282373767418e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3427 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 0.2292749703699397766083691028616 y[1] (numeric) = 0.2292749703699397766083691028616 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3417 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.515 y[1] (analytic) = 0.23050304725336824962354921566516 y[1] (numeric) = 0.23050304725336824962354921566516 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3407 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 0.23173615284465930167556930792121 y[1] (numeric) = 0.23173615284465930167556930792121 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3397 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.517 y[1] (analytic) = 0.23297431200892160740032188224447 y[1] (numeric) = 0.23297431200892160740032188224449 absolute error = 2e-32 relative error = 8.5846374338618552724429885602945e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3387 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.518 y[1] (analytic) = 0.23421754983687434621564260447796 y[1] (numeric) = 0.23421754983687434621564260447797 absolute error = 1e-32 relative error = 4.2695348862477242617996900891405e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3377 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 0.23546589164749653232247507920364 y[1] (numeric) = 0.23546589164749653232247507920365 absolute error = 1e-32 relative error = 4.2468995955348252064647389211370e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3367 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = 0.236719362990715763481928446105 y[1] (numeric) = 0.236719362990715763481928446105 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3357 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 0.23797798965013709270686368162866 y[1] (numeric) = 0.23797798965013709270686368162865 absolute error = 1e-32 relative error = 4.2020692815757800773898589420422e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3347 Order of pole = 625 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.3MB, time=16.59 x[1] = 0.522 y[1] (analytic) = 0.23924179764581274173566419649009 y[1] (numeric) = 0.23924179764581274173566419649009 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3337 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.523 y[1] (analytic) = 0.2405108132370533902379675596069 y[1] (numeric) = 0.24051081323705339023796755960691 absolute error = 1e-32 relative error = 4.1578172163692920237638971250571e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3327 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.524 y[1] (analytic) = 0.24178506292528179014691017586502 y[1] (numeric) = 0.24178506292528179014691017586502 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3317 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.525 y[1] (analytic) = 0.24306457345692947032970570563759 y[1] (numeric) = 0.2430645734569294703297057056376 absolute error = 1e-32 relative error = 4.1141330708039108401521080519031e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3307 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.526 y[1] (analytic) = 0.24434937182637731300827870856096 y[1] (numeric) = 0.24434937182637731300827870856096 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3297 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 0.24563948527894079993465268464605 y[1] (numeric) = 0.24563948527894079993465268464605 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3287 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.528 y[1] (analytic) = 0.24693494131390074332260941635657 y[1] (numeric) = 0.24693494131390074332260941635658 absolute error = 1e-32 relative error = 4.0496496554078669772833868658784e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3277 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 0.24823576768758033394888577924009 y[1] (numeric) = 0.2482357676875803339488857792401 absolute error = 1e-32 relative error = 4.0284283337385941688204179209928e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3267 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (analytic) = 0.24954199241646935667528598811593 y[1] (numeric) = 0.24954199241646935667528598811595 absolute error = 2e-32 relative error = 8.0146831426356894178766316015866e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3257 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 0.25085364378039644191934355807125 y[1] (numeric) = 0.25085364378039644191934355807125 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3247 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.532 y[1] (analytic) = 0.25217075032575024032771292772805 y[1] (numeric) = 0.25217075032575024032771292772805 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3237 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.533 y[1] (analytic) = 0.25349334086875042709582575658918 y[1] (numeric) = 0.25349334086875042709582575658917 absolute error = 1e-32 relative error = 3.9448768025735374070333519392722e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3227 Order of pole = 625 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.3MB, time=16.97 x[1] = 0.534 y[1] (analytic) = 0.25482144449876946204241939578455 y[1] (numeric) = 0.25482144449876946204241939578457 absolute error = 2e-32 relative error = 7.8486330062761183383423710724900e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3217 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.535 y[1] (analytic) = 0.25615509058170605170164422305702 y[1] (numeric) = 0.25615509058170605170164422305702 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3207 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 0.25749430876341128035230672634535 y[1] (numeric) = 0.25749430876341128035230672634535 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3197 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.537 y[1] (analytic) = 0.2588391289731683980775600110027 y[1] (numeric) = 0.25883912897316839807756001100272 absolute error = 2e-32 relative error = 7.7268070246339092348610476526815e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3187 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 0.26018958142722727565361050353325 y[1] (numeric) = 0.26018958142722727565361050353328 absolute error = 3e-32 relative error = 1.1530054291736018118278922815859e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3177 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.539 y[1] (analytic) = 0.2615456966323945583178262319931 y[1] (numeric) = 0.26154569663239455831782623199312 absolute error = 2e-32 relative error = 7.6468472842473209314618064213340e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3167 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 0.26290750538968057328054083444422 y[1] (numeric) = 0.26290750538968057328054083444423 absolute error = 1e-32 relative error = 3.8036190656398475272155853343915e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3157 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.541 y[1] (analytic) = 0.26427503879800406923687305569185 y[1] (numeric) = 0.26427503879800406923687305569184 absolute error = 1e-32 relative error = 3.7839366311259528439724411151111e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3147 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 0.26564832825795589012155783012608 y[1] (numeric) = 0.26564832825795589012155783012607 absolute error = 1e-32 relative error = 3.7643752797456237855998451907978e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3137 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.543 y[1] (analytic) = 0.26702740547562270994817307989775 y[1] (numeric) = 0.26702740547562270994817307989776 absolute error = 1e-32 relative error = 3.7449339636837063956630308210292e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3127 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 0.2684123024664719808018526635311 y[1] (numeric) = 0.26841230246647198080185266353113 absolute error = 3e-32 relative error = 1.1176834938013830928544162459748e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3118 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.545 y[1] (analytic) = 0.26980305155929927192977194213585 y[1] (numeric) = 0.26980305155929927192977194213585 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3108 Order of pole = 625 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.3MB, time=17.35 x[1] = 0.546 y[1] (analytic) = 0.27119968540023920441513451064888 y[1] (numeric) = 0.27119968540023920441513451064888 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3098 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.547 y[1] (analytic) = 0.27260223695684121314743873648422 y[1] (numeric) = 0.27260223695684121314743873648422 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3088 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.548 y[1] (analytic) = 0.27401073952221139573445005024648 y[1] (numeric) = 0.27401073952221139573445005024648 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3078 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 0.27542522671922173666018828501372 y[1] (numeric) = 0.27542522671922173666018828501373 absolute error = 1e-32 relative error = 3.6307494847573840247832289959537e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3068 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = 0.27684573250478802439967055473655 y[1] (numeric) = 0.27684573250478802439967055473656 absolute error = 1e-32 relative error = 3.6121199736488807225216368393333e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3058 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 0.2782722911742178093771381569942 y[1] (numeric) = 0.27827229117421780937713815699422 absolute error = 2e-32 relative error = 7.1872049910562632731325159951380e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3048 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.552 y[1] (analytic) = 0.27970493736562978162277207416712 y[1] (numeric) = 0.27970493736562978162277207416716 absolute error = 4e-32 relative error = 1.4300784382548125452553522559690e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3038 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.553 y[1] (analytic) = 0.28114370606444597876694562221065 y[1] (numeric) = 0.28114370606444597876694562221068 absolute error = 3e-32 relative error = 1.0670699486732654535931776458196e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3028 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.554 y[1] (analytic) = 0.28258863260795826763513014948652 y[1] (numeric) = 0.28258863260795826763513014948654 absolute error = 2e-32 relative error = 7.0774255197117081543443306047812e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3018 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 0.2840397526899705761957198939051 y[1] (numeric) = 0.28403975268997057619571989390512 absolute error = 2e-32 relative error = 7.0412679248562796686939502346978e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.3008 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.556 y[1] (analytic) = 0.28549710236551838699316803346778 y[1] (numeric) = 0.28549710236551838699316803346778 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2998 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.557 y[1] (analytic) = 0.28696071805566703849668446510885 y[1] (numeric) = 0.28696071805566703849668446510887 absolute error = 2e-32 relative error = 6.9695950496333204883664964660965e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2988 Order of pole = 625 memory used=179.3MB, alloc=4.3MB, time=17.73 TOP MAIN SOLVE Loop x[1] = 0.558 y[1] (analytic) = 0.28843063655239041703798957307598 y[1] (numeric) = 0.28843063655239041703798957307599 absolute error = 1e-32 relative error = 3.4670380787318355107143724309920e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2978 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 0.28990689502353165922882875694828 y[1] (numeric) = 0.28990689502353165922882875694829 absolute error = 1e-32 relative error = 3.4493832922422569074024257824660e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2968 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = 0.29138953101784752296967467881318 y[1] (numeric) = 0.29138953101784752296967467881318 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2958 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 0.29287858247013812441582213645468 y[1] (numeric) = 0.29287858247013812441582213645468 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2948 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.562 y[1] (analytic) = 0.29437408770646377858749472790712 y[1] (numeric) = 0.29437408770646377858749472790714 absolute error = 2e-32 relative error = 6.7940762571273171044374301510237e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2938 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 0.29587608544945072272928889204992 y[1] (numeric) = 0.29587608544945072272928889204995 absolute error = 3e-32 relative error = 1.0139379786111636657303283844271e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2928 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.564 y[1] (analytic) = 0.29738461482368754407505104821282 y[1] (numeric) = 0.29738461482368754407505104821284 absolute error = 2e-32 relative error = 6.7252974777654644815122457140792e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2918 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.565 y[1] (analytic) = 0.29889971536121417739204675629845 y[1] (numeric) = 0.29889971536121417739204675629846 absolute error = 1e-32 relative error = 3.3456037212732722208868767099700e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2908 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 0.30042142700710538259916801361045 y[1] (numeric) = 0.30042142700710538259916801361049 absolute error = 4e-32 relative error = 1.3314629518437759311706230449218e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2898 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.567 y[1] (analytic) = 0.3019497901251506589153141522659 y[1] (numeric) = 0.30194979012515065891531415226594 absolute error = 4e-32 relative error = 1.3247235569669049081469907529664e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2888 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.568 y[1] (analytic) = 0.3034848455036325994346462024751 y[1] (numeric) = 0.30348484550363259943464620247513 absolute error = 3e-32 relative error = 9.8851723387423347586919436992173e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2878 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.569 y[1] (analytic) = 0.30502663436120573878517119177172 y[1] (numeric) = 0.30502663436120573878517119177175 absolute error = 3e-32 relative error = 9.8352067067279996781902079401129e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2868 Order of pole = 625 memory used=183.1MB, alloc=4.3MB, time=18.10 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = 0.30657519835287799664747463437962 y[1] (numeric) = 0.30657519835287799664747463437965 absolute error = 3e-32 relative error = 9.7855273881186654216617039189701e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2858 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.571 y[1] (analytic) = 0.30813057957609687143424897414468 y[1] (numeric) = 0.30813057957609687143424897414471 absolute error = 3e-32 relative error = 9.7361320130159649212571855681633e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2848 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 0.30969282057694259140293110362448 y[1] (numeric) = 0.3096928205769425914029311036245 absolute error = 2e-32 relative error = 6.4580121562847266889863926615322e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2838 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.573 y[1] (analytic) = 0.31126196435643048493919537294975 y[1] (numeric) = 0.31126196435643048493919537294978 absolute error = 3e-32 relative error = 9.6381837279824447162524339958294e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2828 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 0.31283805437692488775580662033432 y[1] (numeric) = 0.31283805437692488775580662033437 absolute error = 5e-32 relative error = 1.5982710319428462839165514274213e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2818 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.575 y[1] (analytic) = 0.31442113456866696234866585922478 y[1] (numeric) = 0.31442113456866696234866585922481 absolute error = 3e-32 relative error = 9.5413433454958319150112479573716e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2808 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 0.3160112493364188642907789262022 y[1] (numeric) = 0.31601124933641886429077892620222 absolute error = 2e-32 relative error = 6.3288886208947659263096319279694e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2798 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.577 y[1] (analytic) = 0.31760844356622675087816863351152 y[1] (numeric) = 0.31760844356622675087816863351154 absolute error = 2e-32 relative error = 6.2970618083803117039990375081268e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2788 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 0.31921276263230519032415217958592 y[1] (numeric) = 0.31921276263230519032415217958593 absolute error = 1e-32 relative error = 3.1327068246073858884027213336478e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2778 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.579 y[1] (analytic) = 0.32082425240404559418660662478855 y[1] (numeric) = 0.32082425240404559418660662478858 absolute error = 3e-32 relative error = 9.3509140207449291841573256787335e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2768 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 0.32244295925315136206558382532715 y[1] (numeric) = 0.32244295925315136206558382532716 absolute error = 1e-32 relative error = 3.1013237265785533075024502446936e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2758 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.581 memory used=186.9MB, alloc=4.3MB, time=18.48 y[1] (analytic) = 0.32406893006090249588678058343908 y[1] (numeric) = 0.3240689300609024958867805834391 absolute error = 2e-32 relative error = 6.1715265317910563989656087920735e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2748 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.582 y[1] (analytic) = 0.32570221222555251135300404234435 y[1] (numeric) = 0.32570221222555251135300404234436 absolute error = 1e-32 relative error = 3.0702892472449298247436579600707e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2738 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 0.32734285366986054646628559336278 y[1] (numeric) = 0.3273428536698605464662855933628 absolute error = 2e-32 relative error = 6.1098019326766383947183937569035e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2728 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.584 y[1] (analytic) = 0.32899090284876164146547574886052 y[1] (numeric) = 0.32899090284876164146547574886055 absolute error = 3e-32 relative error = 9.1187931764153105224823556394796e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2718 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 0.33064640875717824115827954767272 y[1] (numeric) = 0.33064640875717824115827954767275 absolute error = 3e-32 relative error = 9.0731365003366933987260331687927e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2708 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.586 y[1] (analytic) = 0.33230942093797604952564546792422 y[1] (numeric) = 0.33230942093797604952564546792423 absolute error = 1e-32 relative error = 3.0092436054849169513971274294069e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2698 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.587 y[1] (analytic) = 0.33397998949006744771578118361725 y[1] (numeric) = 0.33397998949006744771578118361726 absolute error = 1e-32 relative error = 2.9941913631617141010286789501767e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2688 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.588 y[1] (analytic) = 0.3356581650766657702032303928491 y[1] (numeric) = 0.33565816507666577020323039284912 absolute error = 2e-32 relative error = 5.9584428686344972071934872732387e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2678 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 0.33734399893369382004672845190948 y[1] (numeric) = 0.3373439989336938200467284519095 absolute error = 2e-32 relative error = 5.9286663059718670583693065598074e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2668 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (analytic) = 0.33903754287835009292233205362918 y[1] (numeric) = 0.33903754287835009292233205362922 absolute error = 4e-32 relative error = 1.1798103437279918545297553932094e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2658 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 0.3407388493178362710231366165836 y[1] (numeric) = 0.34073884931783627102313661658362 absolute error = 2e-32 relative error = 5.8695977990300393459117490989002e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2648 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.592 y[1] (analytic) = 0.34244797125824964209460884301398 y[1] (numeric) = 0.342447971258249642094608843014 absolute error = 2e-32 relative error = 5.8403032514733275367633375687586e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2638 Order of pole = 625 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.3MB, time=18.86 x[1] = 0.593 y[1] (analytic) = 0.34416496231364419590947098371498 y[1] (numeric) = 0.344164962313644195909470983715 absolute error = 2e-32 relative error = 5.8111667920959405048246857815150e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2628 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.594 y[1] (analytic) = 0.3458898767152642504760674083988 y[1] (numeric) = 0.34588987671526425047606740839881 absolute error = 1e-32 relative error = 2.8910935743378164716653546384318e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2618 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 0.34762276932095456332085346902042 y[1] (numeric) = 0.34762276932095456332085346902046 absolute error = 4e-32 relative error = 1.1506726121000617605061389580170e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2608 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 0.3493636956247509893946002074339 y[1] (numeric) = 0.34936369562475098939460020743394 absolute error = 4e-32 relative error = 1.1449386556456544292309878700156e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2598 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.597 y[1] (analytic) = 0.3511127117666558566326986739816 y[1] (numeric) = 0.35111271176665585663269867398161 absolute error = 1e-32 relative error = 2.8480882818750940591652314167152e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2588 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 0.35286987454260234306640338983192 y[1] (numeric) = 0.35286987454260234306640338983195 absolute error = 3e-32 relative error = 8.5017175350790873844259077531397e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2578 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.599 y[1] (analytic) = 0.3546352414146122557522219654087 y[1] (numeric) = 0.35463524141461225575222196540873 absolute error = 3e-32 relative error = 8.4593961616257721976554792425291e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2568 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 0.35640887052115173178378979869085 y[1] (numeric) = 0.35640887052115173178378979869086 absolute error = 1e-32 relative error = 2.8057663058098695207742167987011e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2558 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.601 y[1] (analytic) = 0.3581908206876895054021225727954 y[1] (numeric) = 0.35819082068768950540212257279543 absolute error = 3e-32 relative error = 8.3754240106999637917819338448610e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2548 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.602 y[1] (analytic) = 0.35998115143746251285878465284582 y[1] (numeric) = 0.35998115143746251285878465284586 absolute error = 4e-32 relative error = 1.1111692887328567120988400693007e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2538 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.603 y[1] (analytic) = 0.36177992300245373835014772748912 y[1] (numeric) = 0.36177992300245373835014772748914 absolute error = 2e-32 relative error = 5.5282227476908252529973366644444e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2528 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.604 y[1] (analytic) = 0.36358719633458734017289766083038 y[1] (numeric) = 0.3635871963345873401728976608304 absolute error = 2e-32 relative error = 5.5007437560026750163842133900209e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2518 Order of pole = 625 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.3MB, time=19.25 x[1] = 0.605 y[1] (analytic) = 0.36540303311714623640033076199352 y[1] (numeric) = 0.36540303311714623640033076199355 absolute error = 3e-32 relative error = 8.2101124733636686133419023379630e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2508 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 0.36722749577641747400076144572182 y[1] (numeric) = 0.36722749577641747400076144572184 absolute error = 2e-32 relative error = 5.4462152834483792853273918080793e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2498 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.607 y[1] (analytic) = 0.36906064749357085457474704300388 y[1] (numeric) = 0.36906064749357085457474704300391 absolute error = 3e-32 relative error = 8.1287452898978097782522126676866e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2488 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 0.37090255221677644394450998327975 y[1] (numeric) = 0.37090255221677644394450998327978 absolute error = 3e-32 relative error = 8.0883778827346278418201948762527e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2478 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.609 y[1] (analytic) = 0.37275327467356675186136040451968 y[1] (numeric) = 0.3727532746735667518613604045197 absolute error = 2e-32 relative error = 5.3654793556179240916801439120434e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2468 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (analytic) = 0.37461288038344953228662306497905 y[1] (numeric) = 0.37461288038344953228662306497908 absolute error = 3e-32 relative error = 8.0082670860896019683375124683082e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2458 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.611 y[1] (analytic) = 0.3764814356707773242374693789527 y[1] (numeric) = 0.37648143567077732423746937895273 absolute error = 3e-32 relative error = 7.9685203990334801199549997157203e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2448 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.612 y[1] (analytic) = 0.37835900767788002826778731412328 y[1] (numeric) = 0.37835900767788002826778731412328 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2438 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 0.38024566437846699448049679924702 y[1] (numeric) = 0.38024566437846699448049679924704 absolute error = 2e-32 relative error = 5.2597575392979507385145910597057e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2428 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.614 y[1] (analytic) = 0.38214147459130528475467915847262 y[1] (numeric) = 0.38214147459130528475467915847265 absolute error = 3e-32 relative error = 7.8504956919644906414883270715461e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2418 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 0.38404650799418096484049770151462 y[1] (numeric) = 0.38404650799418096484049770151464 absolute error = 2e-32 relative error = 5.2077026046811596176702415607715e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2409 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.616 y[1] (analytic) = 0.38596083513815048135832661147855 y[1] (numeric) = 0.38596083513815048135832661147858 absolute error = 3e-32 relative error = 7.7728093808434802524197994605019e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2399 Order of pole = 625 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.3MB, time=19.62 x[1] = 0.617 y[1] (analytic) = 0.38788452746208938477660541869105 y[1] (numeric) = 0.38788452746208938477660541869108 absolute error = 3e-32 relative error = 7.7342605533375150569135743534563e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2389 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.618 y[1] (analytic) = 0.38981765730754587238661493544755 y[1] (numeric) = 0.38981765730754587238661493544758 absolute error = 3e-32 relative error = 7.6959058774322167585134082884709e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2379 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 0.39176029793390684540310236305708 y[1] (numeric) = 0.39176029793390684540310236305711 absolute error = 3e-32 relative error = 7.6577438189158321655326119804509e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2369 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = 0.39371252353388440186999028801362 y[1] (numeric) = 0.39371252353388440186999028801366 absolute error = 4e-32 relative error = 1.0159697141703303575948184427428e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2359 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.621 y[1] (analytic) = 0.39567440924933092232437107094718 y[1] (numeric) = 0.39567440924933092232437107094721 absolute error = 3e-32 relative error = 7.5819914805497948468509518579087e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2349 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.622 y[1] (analytic) = 0.39764603118739114846580395251425 y[1] (numeric) = 0.39764603118739114846580395251429 absolute error = 4e-32 relative error = 1.0059197593537644061893150141450e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2339 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 0.39962746643699990670046072243192 y[1] (numeric) = 0.39962746643699990670046072243197 absolute error = 5e-32 relative error = 1.2511652526236545046095620749317e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2329 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.624 y[1] (analytic) = 0.4016187930857343887030442642196 y[1] (numeric) = 0.40161879308573438870304426421963 absolute error = 3e-32 relative error = 7.4697699700511371186390386317035e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2319 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.625 y[1] (analytic) = 0.40362009023703017039967370846012 y[1] (numeric) = 0.40362009023703017039967370846016 absolute error = 4e-32 relative error = 9.9103094636616270986778323422769e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2309 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.626 y[1] (analytic) = 0.40563143802777042937269805099502 y[1] (numeric) = 0.40563143802777042937269805099507 absolute error = 5e-32 relative error = 1.2326460750455167856871464055472e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2299 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.627 y[1] (analytic) = 0.4076529176462581089895390185005 y[1] (numeric) = 0.40765291764625810898953901850055 absolute error = 5e-32 relative error = 1.2265335984517012938545192337791e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2289 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 0.40968461135058107594404435628645 y[1] (numeric) = 0.40968461135058107594404435628648 absolute error = 3e-32 relative error = 7.3227060936218515146424215872687e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2279 Order of pole = 625 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.3MB, time=20.00 x[1] = 0.629 y[1] (analytic) = 0.41172660248738062676909671150055 y[1] (numeric) = 0.41172660248738062676909671150058 absolute error = 3e-32 relative error = 7.2863885449130036637689339543917e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2269 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 0.41377897551103401864959832986025 y[1] (numeric) = 0.41377897551103401864959832986028 absolute error = 3e-32 relative error = 7.2502475416854538405875052920192e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2259 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.631 y[1] (analytic) = 0.4158418160032620309701077140813 y[1] (numeric) = 0.41584181600326203097010771408133 absolute error = 3e-32 relative error = 7.2142816920953105632197989752582e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2249 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 0.41791521069317290692535631539778 y[1] (numeric) = 0.41791521069317290692535631539781 absolute error = 3e-32 relative error = 7.1784896152118164976339163447598e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2239 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.633 y[1] (analytic) = 0.41999924747775437967893293054022 y[1] (numeric) = 0.41999924747775437967893293054024 absolute error = 2e-32 relative error = 4.7619132939182985444238166802090e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2229 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 0.42209401544282585547120158596338 y[1] (numeric) = 0.42209401544282585547120158596339 absolute error = 1e-32 relative error = 2.3691404365230891972378406453648e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2219 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.635 y[1] (analytic) = 0.42419960488446320726998212429075 y[1] (numeric) = 0.42419960488446320726998212429079 absolute error = 4e-32 relative error = 9.4295231630153377045888706888364e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2209 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 0.42631610733090902756810856877825 y[1] (numeric) = 0.42631610733090902756810856877828 absolute error = 3e-32 relative error = 7.0370317902893184688175422801047e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2199 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.637 y[1] (analytic) = 0.42844361556498159832677119271472 y[1] (numeric) = 0.42844361556498159832677119271475 absolute error = 3e-32 relative error = 7.0020882352137491820104621969032e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2189 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 0.43058222364699626043451173775875 y[1] (numeric) = 0.43058222364699626043451173775877 absolute error = 2e-32 relative error = 4.6448735924585166988845319662565e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2179 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.639 y[1] (analytic) = 0.43273202693821330501803818649775 y[1] (numeric) = 0.43273202693821330501803818649778 absolute error = 3e-32 relative error = 6.9326969423234958095156685653366e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2169 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 0.4348931221248269651503902051266 y[1] (numeric) = 0.43489312212482696515039020512663 absolute error = 3e-32 relative error = 6.8982465975603836116026966936187e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2159 Order of pole = 625 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.3MB, time=20.38 x[1] = 0.641 y[1] (analytic) = 0.43706560724251055963218388897882 y[1] (numeric) = 0.43706560724251055963218388897885 absolute error = 3e-32 relative error = 6.8639580655345816039818623333820e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2149 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 0.43924958170153333128202925140358 y[1] (numeric) = 0.43924958170153333128202925140358 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2139 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 0.44144514631246503130527498989598 y[1] (numeric) = 0.441445146312465031305274989896 absolute error = 2e-32 relative error = 4.5305742212971438678170811317554e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2129 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.644 y[1] (analytic) = 0.4436524033124848295934327170461 y[1] (numeric) = 0.44365240331248482959343271704613 absolute error = 3e-32 relative error = 6.7620505999760397343420176609974e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2119 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 0.44587145639231167905413270020525 y[1] (numeric) = 0.44587145639231167905413270020527 absolute error = 2e-32 relative error = 4.4855977464505994672341875915082e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2109 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.646 y[1] (analytic) = 0.44810241072377383113607363399262 y[1] (numeric) = 0.44810241072377383113607363399265 absolute error = 3e-32 relative error = 6.6948981487388294069239451342961e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2099 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 0.45034537298803579048862841339198 y[1] (numeric) = 0.45034537298803579048862841339199 absolute error = 1e-32 relative error = 2.2205179845970500120836984640299e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2089 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.648 y[1] (analytic) = 0.45260045140450161011784824355088 y[1] (numeric) = 0.45260045140450161011784824355091 absolute error = 3e-32 relative error = 6.6283628102677621300059746792155e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2079 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 0.45486775576041406545094186231225 y[1] (numeric) = 0.45486775576041406545094186231227 absolute error = 2e-32 relative error = 4.3968823348591698447393993610012e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2069 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (analytic) = 0.45714739744116990742874870944712 y[1] (numeric) = 0.45714739744116990742874870944714 absolute error = 2e-32 relative error = 4.3749565483578610960704309632808e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2059 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 0.45943948946137208218914768393645 y[1] (numeric) = 0.45943948946137208218914768393646 absolute error = 1e-32 relative error = 2.1765651907117491721328746250444e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2049 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.652 y[1] (analytic) = 0.46174414649664051921532744991608 y[1] (numeric) = 0.4617441464966405192153274499161 absolute error = 2e-32 relative error = 4.3314030403513762037148698547554e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2039 Order of pole = 625 memory used=209.8MB, alloc=4.3MB, time=20.76 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 0.46406148491620383218852488418795 y[1] (numeric) = 0.46406148491620383218852488418797 absolute error = 2e-32 relative error = 4.3097737369028643333479843187860e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2029 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.654 y[1] (analytic) = 0.46639162281629504845091896942162 y[1] (numeric) = 0.46639162281629504845091896942164 absolute error = 2e-32 relative error = 4.2882416882255435183196309564105e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2019 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 0.46873468005437528525831526459095 y[1] (numeric) = 0.46873468005437528525831526459096 absolute error = 1e-32 relative error = 2.1334030583868801858852243962945e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.2009 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.656 y[1] (analytic) = 0.47109077828421012525668664314548 y[1] (numeric) = 0.47109077828421012525668664314549 absolute error = 1e-32 relative error = 2.1227331251147899834808646143074e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1999 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.657 y[1] (analytic) = 0.4734600409918243112929022145643 y[1] (numeric) = 0.47346004099182431129290221456431 absolute error = 1e-32 relative error = 2.1121106607120577664059392351566e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1989 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.658 y[1] (analytic) = 0.4758425935323612832819739765236 y[1] (numeric) = 0.47584259353236128328197397652362 absolute error = 2e-32 relative error = 4.2030705682592141526868931536830e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1979 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.659 y[1] (analytic) = 0.47823856316787501899135481319495 y[1] (numeric) = 0.47823856316787501899135481319497 absolute error = 2e-32 relative error = 4.1820132336294771966817622824634e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1969 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 0.4806480791060826179385690307147 y[1] (numeric) = 0.48064807910608261793856903071471 absolute error = 1e-32 relative error = 2.0805242826722969955100128922994e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1959 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.661 y[1] (analytic) = 0.48307127254010708488849219044905 y[1] (numeric) = 0.48307127254010708488849219044905 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1949 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 0.48550827668924082852789800557668 y[1] (numeric) = 0.48550827668924082852789800557668 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1939 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.663 y[1] (analytic) = 0.48795922684076149372979140662982 y[1] (numeric) = 0.48795922684076149372979140662982 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1929 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.664 y[1] (analytic) = 0.49042426039283289444168455597 y[1] (numeric) = 0.49042426039283289444168455597002 absolute error = 2e-32 relative error = 4.0781016795498402003908638763311e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1919 Order of pole = 625 memory used=213.6MB, alloc=4.3MB, time=21.14 TOP MAIN SOLVE Loop x[1] = 0.665 y[1] (analytic) = 0.4929035168985250107900681177558 y[1] (numeric) = 0.49290351689852501079006811775581 absolute error = 1e-32 relative error = 2.0287946133804354889639540063003e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1909 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 0.49539713811098826075033893758558 y[1] (numeric) = 0.49539713811098826075033893758558 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1899 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.667 y[1] (analytic) = 0.49790526802981855606909426475458 y[1] (numeric) = 0.49790526802981855606909426475459 absolute error = 1e-32 relative error = 2.0084141787793094593249116782600e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1889 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.668 y[1] (analytic) = 0.50042805294865100655194305852988 y[1] (numeric) = 0.50042805294865100655194305852987 absolute error = 1e-32 relative error = 1.9982892527861745227712881173001e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1879 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.669 y[1] (analytic) = 0.5029656415040215489863902458773 y[1] (numeric) = 0.5029656415040215489863902458773 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1869 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 0.50551818472553724963898892950448 y[1] (numeric) = 0.50551818472553724963898892950448 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1859 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.671 y[1] (analytic) = 0.50808583608739756538177478068705 y[1] (numeric) = 0.50808583608739756538177478068706 absolute error = 1e-32 relative error = 1.9681713776960840398929537346984e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1849 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.672 y[1] (analytic) = 0.5106687515613104511567465259204 y[1] (numeric) = 0.5106687515613104511567465259204 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1839 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.673 y[1] (analytic) = 0.51326708967084887393890070344728 y[1] (numeric) = 0.51326708967084887393890070344726 absolute error = 2e-32 relative error = 3.8966067379901027662356244835334e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1829 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.674 y[1] (analytic) = 0.51588101154729503904658013467762 y[1] (numeric) = 0.51588101154729503904658013467763 absolute error = 1e-32 relative error = 1.9384314941165881752882375505762e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1819 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 0.51851068098702145720041827888818 y[1] (numeric) = 0.51851068098702145720041827888819 absolute error = 1e-32 relative error = 1.9286005798307372286678726044827e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1809 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.676 y[1] (analytic) = 0.52115626451045988397749360687248 y[1] (numeric) = 0.52115626451045988397749360687248 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1799 Order of pole = 625 memory used=217.4MB, alloc=4.3MB, time=21.52 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 0.5238179314227111512870511782269 y[1] (numeric) = 0.52381793142271115128705117822691 absolute error = 1e-32 relative error = 1.9090602669594732462054564428531e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1789 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.678 y[1] (analytic) = 0.5264958538758509874760847291986 y[1] (numeric) = 0.52649585387585098747608472919858 absolute error = 2e-32 relative error = 3.7987003796455439913249845549988e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1779 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.679 y[1] (analytic) = 0.52919020693298909316516580551025 y[1] (numeric) = 0.52919020693298909316516580551024 absolute error = 1e-32 relative error = 1.8896797160999412663039871681445e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1769 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = 0.53190116863414100868025572043518 y[1] (numeric) = 0.53190116863414100868025572043518 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1759 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 0.5346289200639746810190493367373 y[1] (numeric) = 0.53462892006397468101904933673729 absolute error = 1e-32 relative error = 1.8704562407142848887415470553256e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1749 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.682 y[1] (analytic) = 0.53737364542149611899306534118 y[1] (numeric) = 0.53737364542149611899306534117999 absolute error = 1e-32 relative error = 1.8609025740658286046146679133923e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1739 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 0.54013553209174112014803574620028 y[1] (numeric) = 0.54013553209174112014803574620027 absolute error = 1e-32 relative error = 1.8513871807828996263983292782409e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1729 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.684 y[1] (analytic) = 0.54291477071954276823992840880242 y[1] (numeric) = 0.54291477071954276823992840880242 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1719 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 0.545711555285447241733765105349 y[1] (numeric) = 0.54571155528544724173376510534901 absolute error = 1e-32 relative error = 1.8324699015708518780337284502260e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.171 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.686 y[1] (analytic) = 0.54852608318385344866806459797902 y[1] (numeric) = 0.54852608318385344866806459797902 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.17 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.687 y[1] (analytic) = 0.55135855530345511835315368356558 y[1] (numeric) = 0.55135855530345511835315368356558 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.169 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.688 y[1] (analytic) = 0.55420917611006724322941077159685 y[1] (numeric) = 0.55420917611006724322941077159686 absolute error = 1e-32 relative error = 1.8043728669721586363168158180792e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.168 memory used=221.2MB, alloc=4.3MB, time=21.90 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 0.557078153731922182730619505447 y[1] (numeric) = 0.55707815373192218273061950544702 absolute error = 2e-32 relative error = 3.5901605306217812998205777833659e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.167 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (analytic) = 0.55996570004752432358256657184642 y[1] (numeric) = 0.55996570004752432358256657184645 absolute error = 3e-32 relative error = 5.3574710017870555545220981916040e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.166 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.691 y[1] (analytic) = 0.56287203077615594652961867818405 y[1] (numeric) = 0.56287203077615594652961867818405 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.165 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 0.56579736557113088747518804337532 y[1] (numeric) = 0.56579736557113088747518804337533 absolute error = 1e-32 relative error = 1.7674172077322654933342653964151e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.164 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.693 y[1] (analytic) = 0.56874192811589671147616603284125 y[1] (numeric) = 0.56874192811589671147616603284126 absolute error = 1e-32 relative error = 1.7582667121320843962217618250060e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.163 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 0.57170594622309045159353275347315 y[1] (numeric) = 0.57170594622309045159353275347318 absolute error = 3e-32 relative error = 5.2474528554743129657015366419440e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.162 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.695 y[1] (analytic) = 0.5746896519366575125768825367486 y[1] (numeric) = 0.57468965193665751257688253674862 absolute error = 2e-32 relative error = 3.4801392251629418152470603307934e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.161 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.696 y[1] (analytic) = 0.57769328163714811375854816356138 y[1] (numeric) = 0.57769328163714811375854816356137 absolute error = 1e-32 relative error = 1.7310223812298110403773164671990e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.16 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.697 y[1] (analytic) = 0.5807170761503106591143923513486 y[1] (numeric) = 0.58071707615031065911439235134861 absolute error = 1e-32 relative error = 1.7220089456111734871462686298757e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.159 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 0.58376128085910668877834945394675 y[1] (numeric) = 0.58376128085910668877834945394675 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.158 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.699 y[1] (analytic) = 0.58682614581927759980187968677418 y[1] (numeric) = 0.5868261458192775998018796867742 absolute error = 2e-32 relative error = 3.4081644354952304000656607279701e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.157 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 0.5899119258785991399737209966108 y[1] (numeric) = 0.58991192587859913997372099661083 absolute error = 3e-32 relative error = 5.0855049175889769529141082826135e-30 % memory used=225.0MB, alloc=4.3MB, time=22.28 Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.156 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.701 y[1] (analytic) = 0.59301888079996579339145786524008 y[1] (numeric) = 0.59301888079996579339145786524009 absolute error = 1e-32 relative error = 1.6862869503430112071359197331325e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.155 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.702 y[1] (analytic) = 0.59614727538845360759202232616552 y[1] (numeric) = 0.59614727538845360759202232616553 absolute error = 1e-32 relative error = 1.6774378434395984083035623329685e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.154 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.703 y[1] (analytic) = 0.5992973796225167779221993100504 y[1] (numeric) = 0.5992973796225167779221993100504 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.153 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 0.60246946878948042519427861745488 y[1] (numeric) = 0.6024694687894804251942786174549 absolute error = 2e-32 relative error = 3.3196702963529851158041230483979e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.152 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.705 y[1] (analytic) = 0.6056638236254994985587380728045 y[1] (numeric) = 0.60566382362549949855873807280452 absolute error = 2e-32 relative error = 3.3021618957328732346282400887797e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.151 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.706 y[1] (analytic) = 0.60888073046016162936357856028045 y[1] (numeric) = 0.60888073046016162936357856028046 absolute error = 1e-32 relative error = 1.6423577721769088858455688959499e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.15 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.707 y[1] (analytic) = 0.6121204813659200774853158666314 y[1] (numeric) = 0.61212048136592007748531586663142 absolute error = 2e-32 relative error = 3.2673306332392072362547907147202e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.149 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.708 y[1] (analytic) = 0.61538337431255167474550036038072 y[1] (numeric) = 0.61538337431255167474550036038075 absolute error = 3e-32 relative error = 4.8750098316375825790849101120636e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.148 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 0.6186697133268439078338508258636 y[1] (numeric) = 0.61866971332684390783385082586361 absolute error = 1e-32 relative error = 1.6163713504295932316229500542847e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.147 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = 0.62197980865772502476821277671138 y[1] (numeric) = 0.6219798086577250247682127767114 absolute error = 2e-32 relative error = 3.2155384662986678220437789224191e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.146 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 0.62531397694706132545517453671095 y[1] (numeric) = 0.62531397694706132545517453671095 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.145 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.712 memory used=228.8MB, alloc=4.3MB, time=22.66 y[1] (analytic) = 0.62867254140635664164689504215562 y[1] (numeric) = 0.62867254140635664164689504215562 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.144 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.713 y[1] (analytic) = 0.63205583199960046010879312202228 y[1] (numeric) = 0.63205583199960046010879312202227 absolute error = 1e-32 relative error = 1.5821387120760435092843143838987e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.143 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.714 y[1] (analytic) = 0.63546418563252323320269402232322 y[1] (numeric) = 0.63546418563252323320269402232324 absolute error = 2e-32 relative error = 3.1473056156725120174913196638201e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.142 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 0.63889794634853019412213623946872 y[1] (numeric) = 0.63889794634853019412213623946873 absolute error = 1e-32 relative error = 1.5651952016988988919254509289671e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.141 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.716 y[1] (analytic) = 0.64235746553159849336011228804578 y[1] (numeric) = 0.64235746553159849336011228804579 absolute error = 1e-32 relative error = 1.5567655918382232186932505219928e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.14 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 0.64584310211643674544005223370155 y[1] (numeric) = 0.64584310211643674544005223370158 absolute error = 3e-32 relative error = 4.6450910293366278274057665220582e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.139 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.718 y[1] (analytic) = 0.64935522280622117066801389812218 y[1] (numeric) = 0.64935522280622117066801389812218 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.138 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.719 y[1] (analytic) = 0.65289420229823848948119237323138 y[1] (numeric) = 0.6528942022982384894811923732314 absolute error = 2e-32 relative error = 3.0632834431058571003749901296654e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.137 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = 0.65646042351778263462532651194828 y[1] (numeric) = 0.65646042351778263462532651194829 absolute error = 1e-32 relative error = 1.5233210779734253665230133385404e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.136 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.721 y[1] (analytic) = 0.6600542778606702508977961866134 y[1] (numeric) = 0.6600542778606702508977961866134 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.135 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 0.66367616544475892015431759229875 y[1] (numeric) = 0.66367616544475892015431759229877 absolute error = 2e-32 relative error = 3.0135178934137419804123750292770e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.134 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.723 y[1] (analytic) = 0.66732649537087215228781303409972 y[1] (numeric) = 0.66732649537087215228781303409974 absolute error = 2e-32 relative error = 2.9970337066992726831823432377417e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.133 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.724 memory used=232.7MB, alloc=4.3MB, time=23.03 y[1] (analytic) = 0.6710056859935564979364856041507 y[1] (numeric) = 0.67100568599355649793648560415072 absolute error = 2e-32 relative error = 2.9806006741039829379241674762086e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.132 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.725 y[1] (analytic) = 0.6747141652021187485988668000766 y[1] (numeric) = 0.67471416520211874859886680007661 absolute error = 1e-32 relative error = 1.4821090938567118487317973816885e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.131 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.726 y[1] (analytic) = 0.67845237071241518379947842956612 y[1] (numeric) = 0.67845237071241518379947842956614 absolute error = 2e-32 relative error = 2.9478856384566561556252776986368e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.13 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.727 y[1] (analytic) = 0.68222075036989029900858037606362 y[1] (numeric) = 0.68222075036989029900858037606364 absolute error = 2e-32 relative error = 2.9316024159564608754389075157919e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.129 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.728 y[1] (analytic) = 0.68601976246438950568580247932738 y[1] (numeric) = 0.6860197624643895056858024793274 absolute error = 2e-32 relative error = 2.9153679083754058649658745202140e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.128 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.729 y[1] (analytic) = 0.6898498760572990477095253389845 y[1] (numeric) = 0.6898498760572990477095253389845 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.127 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = 0.69371157132159694700151930189268 y[1] (numeric) = 0.69371157132159694700151930189269 absolute error = 1e-32 relative error = 1.4415212911828612899378950742707e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.126 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.731 y[1] (analytic) = 0.69760533989543130537110109030705 y[1] (numeric) = 0.69760533989543130537110109030705 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.125 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 0.70153168524987688992344780724448 y[1] (numeric) = 0.7015316852498768899234478072445 absolute error = 2e-32 relative error = 2.8509047303937879762353924094357e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.124 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.733 y[1] (analytic) = 0.70549112307155776759555738292948 y[1] (numeric) = 0.70549112307155776759555738292948 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.123 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.734 y[1] (analytic) = 0.70948418166086299466583618219795 y[1] (numeric) = 0.70948418166086299466583618219795 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.122 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.735 y[1] (analytic) = 0.71351140234652418708534723213208 y[1] (numeric) = 0.71351140234652418708534723213207 absolute error = 1e-32 relative error = 1.4015192983760330496383839627735e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.121 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.736 y[1] (analytic) = 0.7175733399173683895766471936276 y[1] (numeric) = 0.7175733399173683895766471936276 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=236.5MB, alloc=4.3MB, time=23.41 Real estimate of pole used for equation 1 Radius of convergence = 0.12 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 0.72167056307210723408942072472122 y[1] (numeric) = 0.72167056307210723408942072472122 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.119 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.738 y[1] (analytic) = 0.72580365488807415740328346513702 y[1] (numeric) = 0.72580365488807415740328346513702 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.118 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 0.72997321330987567864420551332005 y[1] (numeric) = 0.72997321330987567864420551332005 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.117 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = 0.73417985165898068646399084752802 y[1] (numeric) = 0.73417985165898068646399084752801 absolute error = 1e-32 relative error = 1.3620640742733023891273188535351e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.116 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 0.7384241991653336418672701966962 y[1] (numeric) = 0.73842419916533364186727019669618 absolute error = 2e-32 relative error = 2.7084702834233615685614037304320e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.115 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.742 y[1] (analytic) = 0.7427069015221438806230931552423 y[1] (numeric) = 0.7427069015221438806230931552423 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.114 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 0.74702862146507414099470974129515 y[1] (numeric) = 0.74702862146507414099470974129515 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.113 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.744 y[1] (analytic) = 0.75139003937712742064862131868572 y[1] (numeric) = 0.75139003937712742064862131868573 absolute error = 1e-32 relative error = 1.3308667237976169993213385804722e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.112 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 0.75579185392061268690065719253452 y[1] (numeric) = 0.75579185392061268690065719253453 absolute error = 1e-32 relative error = 1.3231156102206925786940515769865e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.111 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.746 y[1] (analytic) = 0.76023478269765726942643258759605 y[1] (numeric) = 0.76023478269765726942643258759607 absolute error = 2e-32 relative error = 2.6307662389546217963382694689718e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.11 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.747 y[1] (analytic) = 0.76471956294082743705239387604262 y[1] (numeric) = 0.76471956294082743705239387604264 absolute error = 2e-32 relative error = 2.6153378269920842108716192442328e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.109 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.748 y[1] (analytic) = 0.76924695223551922752372009101778 y[1] (numeric) = 0.76924695223551922752372009101779 absolute error = 1e-32 relative error = 1.2999726512973319462232851819022e-30 % Correct digits = 31 h = 0.001 memory used=240.3MB, alloc=4.3MB, time=23.79 Real estimate of pole used for equation 1 Radius of convergence = 0.108 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.749 y[1] (analytic) = 0.77381772927588963745226453451432 y[1] (numeric) = 0.77381772927588963745226453451433 absolute error = 1e-32 relative error = 1.2922939888386422326821180954549e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.107 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = 0.77843269465621441922928602455618 y[1] (numeric) = 0.77843269465621441922928602455621 absolute error = 3e-32 relative error = 3.8538977365601459887219534620339e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.106 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.751 y[1] (analytic) = 0.7830926716996836624256117833194 y[1] (numeric) = 0.78309267169968366242561178331941 absolute error = 1e-32 relative error = 1.2769880706832873804670066608187e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.105 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.752 y[1] (analytic) = 0.78779850732678081487777783166182 y[1] (numeric) = 0.78779850732678081487777783166184 absolute error = 2e-32 relative error = 2.5387202202077731758049806793974e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.104 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.753 y[1] (analytic) = 0.79255107296553565194564879370368 y[1] (numeric) = 0.79255107296553565194564879370371 absolute error = 3e-32 relative error = 3.7852450174279885199923726481629e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.103 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 0.797351265506097840697799643498 y[1] (numeric) = 0.79735126550609784069779964349801 absolute error = 1e-32 relative error = 1.2541523958895032047567522886612e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.102 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.755 y[1] (analytic) = 0.80220000830224616783791018820048 y[1] (numeric) = 0.8022000083022461678379101882005 absolute error = 2e-32 relative error = 2.4931438285979882861550936832792e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1011 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 0.80709825222263030403085454673305 y[1] (numeric) = 0.80709825222263030403085454673307 absolute error = 2e-32 relative error = 2.4780130479681911165115707127158e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.1001 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.757 y[1] (analytic) = 0.81204697675473837106972510604542 y[1] (numeric) = 0.81204697675473837106972510604546 absolute error = 4e-32 relative error = 4.9258234000027752962222353236421e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used for equation 1 Radius of convergence = 0.09905 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.75897117652123452364096895937653 y[1] (analytic) = 0.82195355302648678322185291471928 y[1] (numeric) = 0.82195355302648678322185291471924 absolute error = 4e-32 relative error = 4.8664550268950577316182417061992e-30 % Correct digits = 31 h = 0.00098064263624126418078998723846338 Real estimate of pole used for equation 1 Radius of convergence = 0.09709 Order of pole = 625 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.3MB, time=24.16 x[1] = 0.75994202668051076125767765826444 y[1] (analytic) = 0.82690876797785617166546281649765 y[1] (numeric) = 0.82690876797785617166546281649767 absolute error = 2e-32 relative error = 2.4186465030366664257757303258386e-30 % Correct digits = 31 h = 0.00097085015927623761670869888791037 Real estimate of pole used for equation 1 Radius of convergence = 0.09612 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76090318214829607542051822761294 y[1] (analytic) = 0.83186523332558415963863811906698 y[1] (numeric) = 0.83186523332558415963863811906697 absolute error = 1e-32 relative error = 1.2021177949729382282491462553023e-30 % Correct digits = 31 h = 0.00096115546778531416284056934849794 Real estimate of pole used for equation 1 Radius of convergence = 0.09516 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76185473973360080223567296368002 y[1] (analytic) = 0.83682292410098412893536128817762 y[1] (numeric) = 0.83682292410098412893536128817778 absolute error = 1.6e-31 relative error = 1.9119935101191360298472836283106e-29 % Correct digits = 30 h = 0.00095155758530472681515473606707718 Real estimate of pole used for equation 1 Radius of convergence = 0.09421 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76279679527872225852132217165721 y[1] (analytic) = 0.841781815836329258424626774443 y[1] (numeric) = 0.84178181583632925842462677444307 absolute error = 7e-32 relative error = 8.3156940056317821488978797805559e-30 % Correct digits = 31 h = 0.0009420555451214562856492079771854 Real estimate of pole used for equation 1 Radius of convergence = 0.09326 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76372944366889812074847172466995 y[1] (analytic) = 0.84674188455470777545605154900012 y[1] (numeric) = 0.84674188455470777545605154900013 absolute error = 1e-32 relative error = 1.1809974423621302001496554048580e-30 % Correct digits = 31 h = 0.00093264839017586222714955301273676 Real estimate of pole used for equation 1 Radius of convergence = 0.09233 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76465277884186340750928473449328 y[1] (analytic) = 0.85170310676008735274662153474812 y[1] (numeric) = 0.85170310676008735274662153474802 absolute error = 1.0e-31 relative error = 1.1741180606984515463675165523783e-29 % Correct digits = 30 h = 0.0009233351729652867608130098233308 Real estimate of pole used for equation 1 Radius of convergence = 0.09141 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.7655668937973120281064264678885 y[1] (analytic) = 0.85666545942758419258656946822725 y[1] (numeric) = 0.85666545942758419258656946822723 absolute error = 2e-32 relative error = 2.3346336402268175959667969858510e-30 % Correct digits = 31 h = 0.0009141149554486205971417333952179 Real estimate of pole used for equation 1 Radius of convergence = 0.0905 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76647188060626385024468920417356 y[1] (analytic) = 0.86162891999393244097198284333775 y[1] (numeric) = 0.86162891999393244097198284333779 absolute error = 4e-32 relative error = 4.6423697106501112477158362765022e-30 % Correct digits = 31 h = 0.00090498680895182213826273628505803 Real estimate of pole used for equation 1 Radius of convergence = 0.08959 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76736783042033823028990698397395 y[1] (analytic) = 0.86659346634814967254237370240722 y[1] (numeric) = 0.86659346634814967254237370240721 absolute error = 1e-32 relative error = 1.1539436181235353408698897841273e-30 % Correct digits = 31 h = 0.00089594981407438004521777980039461 Real estimate of pole used for equation 1 Radius of convergence = 0.0887 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76825483348093494013894065450805 y[1] (analytic) = 0.8715590768223942830433312394088 y[1] (numeric) = 0.87155907682239428304333123940879 absolute error = 1e-32 relative error = 1.1473691532717286140785512453129e-30 % Correct digits = 31 h = 0.00088700306059670984903367053410231 Real estimate of pole used for equation 1 Radius of convergence = 0.08781 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.76913297912832341541736235296939 y[1] (analytic) = 0.87652573018301071951548305277512 y[1] (numeric) = 0.87652573018301071951548305277509 absolute error = 3e-32 relative error = 3.4226034635328125251071358941937e-30 % Correct digits = 31 h = 0.00087814564738847527842169846134214 Real estimate of pole used for equation 1 Radius of convergence = 0.08694 Order of pole = 625 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.3MB, time=24.54 x[1] = 0.7700023558106412404874561420094 y[1] (analytic) = 0.88149340562175856959708755271778 y[1] (numeric) = 0.88149340562175856959708755271777 absolute error = 1e-32 relative error = 1.1344384355259619679530331316318e-30 % Correct digits = 31 h = 0.00086937668231782507009378904000557 Real estimate of pole used for equation 1 Radius of convergence = 0.08607 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77171515166531883053156156271539 y[1] (analytic) = 0.89143174157639308326255092480175 y[1] (numeric) = 0.89143174157639308326255092480167 absolute error = 8e-32 relative error = 8.9743270593583900172675988515455e-30 % Correct digits = 31 h = 0.00085210057251605392421370620234327 Real estimate of pole used for equation 1 Radius of convergence = 0.08436 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.7725587433530282518831607878117 y[1] (analytic) = 0.8964023625264332686524029545224 y[1] (numeric) = 0.89640236252643326865240295452238 absolute error = 2e-32 relative error = 2.2311409291282670536457678919563e-30 % Correct digits = 31 h = 0.00084359168770942135159922509630997 Real estimate of pole used for equation 1 Radius of convergence = 0.08352 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77339391112374233875696737199737 y[1] (analytic) = 0.90137392640659607152641429433325 y[1] (numeric) = 0.90137392640659607152641429433337 absolute error = 1.2e-31 relative error = 1.3313009893506707090069394548349e-29 % Correct digits = 30 h = 0.0008351677707140868738065841856724 Real estimate of pole used for equation 1 Radius of convergence = 0.08268 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77422073909680292223126595871366 y[1] (analytic) = 0.90634641441032071631735653042825 y[1] (numeric) = 0.90634641441032071631735653042829 absolute error = 4e-32 relative error = 4.4133235773900484681401705673878e-30 % Correct digits = 31 h = 0.00082682797306058347429858671628686 Real estimate of pole used for equation 1 Radius of convergence = 0.08186 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77503931055155499177101322810597 y[1] (analytic) = 0.9113198081074852828131341237597 y[1] (numeric) = 0.91131980810748528281313412375981 absolute error = 1.1e-31 relative error = 1.2070405912545038203340325393094e-29 % Correct digits = 30 h = 0.00081857145475206953974726939231353 Real estimate of pole used for equation 1 Radius of convergence = 0.08104 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77665201287377369598181713414913 y[1] (analytic) = 0.92126924069846728322812813238328 y[1] (numeric) = 0.92126924069846728322812813238318 absolute error = 1.0e-31 relative error = 1.0854590122230091961792919944050e-29 % Correct digits = 30 h = 0.00080230493803898108381485262686155 Real estimate of pole used for equation 1 Radius of convergence = 0.07943 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77744630617502031056889175880239 y[1] (analytic) = 0.92624524454671436339361608761472 y[1] (numeric) = 0.92624524454671436339361608761469 absolute error = 3e-32 relative error = 3.2388830254865590744288092947315e-30 % Correct digits = 31 h = 0.00079429330124661458707462465325981 Real estimate of pole used for equation 1 Radius of convergence = 0.07864 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.77823266784187894331471280754517 y[1] (analytic) = 0.93122208398284682815662750236025 y[1] (numeric) = 0.93122208398284682815662750236042 absolute error = 1.7e-31 relative error = 1.8255580803336211595493259571326e-29 % Correct digits = 30 h = 0.00078636166685863274582104874278309 Real estimate of pole used for equation 1 Radius of convergence = 0.07785 Order of pole = 625 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.3MB, time=24.90 x[1] = 0.77901117707786794931533376558784 y[1] (analytic) = 0.93619974234816846507276342229128 y[1] (numeric) = 0.93619974234816846507276342229125 absolute error = 3e-32 relative error = 3.2044443768756278079514412329230e-30 % Correct digits = 31 h = 0.00077850923598900600062095804266992 Real estimate of pole used for equation 1 Radius of convergence = 0.07707 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78054495112466567022667452569559 y[1] (analytic) = 0.9461574508907503066329157729884 y[1] (numeric) = 0.94615745089075030663291577298837 absolute error = 3e-32 relative error = 3.1707196272414073575045168186619e-30 % Correct digits = 31 h = 0.00076303882906851977860651490356934 Real estimate of pole used for equation 1 Radius of convergence = 0.07554 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78130037041948090265272653457551 y[1] (analytic) = 0.9511374693897952363245891283733 y[1] (numeric) = 0.95113746938979523632458912837342 absolute error = 1.2e-31 relative error = 1.2616472787786009309346433368647e-29 % Correct digits = 30 h = 0.00075541929481523242605200887992074 Real estimate of pole used for equation 1 Radius of convergence = 0.07479 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78204824626699940260135196436249 y[1] (analytic) = 0.95611824344859547820791633992778 y[1] (numeric) = 0.95611824344859547820791633992774 absolute error = 4e-32 relative error = 4.1835829693747027450357524474158e-30 % Correct digits = 31 h = 0.00074787584751849994862542978697773 Real estimate of pole used for equation 1 Radius of convergence = 0.07404 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.7835216681766232515960807695021 y[1] (analytic) = 0.96608199831230774686880896373655 y[1] (numeric) = 0.9660819983123077468688089637366 absolute error = 5e-32 relative error = 5.1755441139931452060228480137823e-30 % Correct digits = 31 h = 0.00073301418223277418072549557611004 Real estimate of pole used for equation 1 Radius of convergence = 0.07257 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78424736264397796877147384263306 y[1] (analytic) = 0.9710649498970535371613573292815 y[1] (numeric) = 0.97106494989705353716135732928161 absolute error = 1.1e-31 relative error = 1.1327769580362419434610925554168e-29 % Correct digits = 30 h = 0.00072569446735471717539307313095699 Real estimate of pole used for equation 1 Radius of convergence = 0.07184 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78567708407627331984124629675732 y[1] (analytic) = 0.98103293049847411985650704999098 y[1] (numeric) = 0.98103293049847411985650704999116 absolute error = 1.8e-31 relative error = 1.8348007941847571712059992015822e-29 % Correct digits = 30 h = 0.00071127358679103235038401737080088 Real estimate of pole used for equation 1 Radius of convergence = 0.07042 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78638125504488615440059234001441 y[1] (analytic) = 0.98601793201184436500198540383228 y[1] (numeric) = 0.98601793201184436500198540383235 absolute error = 7e-32 relative error = 7.0992623691106600942176310377073e-30 % Correct digits = 31 h = 0.00070417096861283455934604325708557 Real estimate of pole used for equation 1 Radius of convergence = 0.06971 Order of pole = 625 memory used=255.6MB, alloc=4.3MB, time=25.26 TOP MAIN SOLVE Loop x[1] = 0.78707839432046959763901859774708 y[1] (analytic) = 0.99100358978839789229688073930412 y[1] (numeric) = 0.99100358978839789229688073930397 absolute error = 1.5e-31 relative error = 1.5136171205194973844216365874930e-29 % Correct digits = 30 h = 0.00069713927558344323842625773266664 Real estimate of pole used for equation 1 Radius of convergence = 0.06902 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78845185795900291002100736787167 y[1] (analytic) = 1.0009768220942649877413579383966 y[1] (numeric) = 1.0009768220942649877413579383967 absolute error = 1e-31 relative error = 9.9902413115598295294320061857170e-30 % Correct digits = 31 h = 0.0006832858390730494729135114378382 Real estimate of pole used for equation 1 Radius of convergence = 0.06765 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.78912832065925619732137485818534 y[1] (analytic) = 1.0059643712527644931878109600747 y[1] (numeric) = 1.0059643712527644931878109600746 absolute error = 1e-31 relative error = 9.9407099155476367226822534387552e-30 % Correct digits = 31 h = 0.00067646270025328730036749031366678 Real estimate of pole used for equation 1 Radius of convergence = 0.06697 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79046104850025235749830497542457 y[1] (analytic) = 1.0159412740423129869592009441257 y[1] (numeric) = 1.0159412740423129869592009441257 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.00066302014523188863310399219156628 Real estimate of pole used for equation 1 Radius of convergence = 0.06564 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79111744787532844547962462903123 y[1] (analytic) = 1.0209306037921784480109466007572 y[1] (numeric) = 1.0209306037921784480109466007569 absolute error = 3e-31 relative error = 2.9384955146380181373864908748394e-29 % Correct digits = 30 h = 0.00065639937507608798131965360666443 Real estimate of pole used for equation 1 Radius of convergence = 0.06498 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.7924106481089094430610262018364 y[1] (analytic) = 1.0309109620762034696651016473296 y[1] (numeric) = 1.0309109620762034696651016473294 absolute error = 2e-31 relative error = 1.9400317520846798884176392107903e-29 % Correct digits = 30 h = 0.00064335551513795958248428615200783 Real estimate of pole used for equation 1 Radius of convergence = 0.06369 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79304757922046807337427999056481 y[1] (analytic) = 1.0359019681309616542998967746125 y[1] (numeric) = 1.0359019681309616542998967746124 absolute error = 1e-31 relative error = 9.6534231111102317547794713892068e-30 % Correct digits = 31 h = 0.00063693111155863031325378872840955 Real estimate of pole used for equation 1 Radius of convergence = 0.06306 Order of pole = 625 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.3MB, time=25.63 x[1] = 0.79430242420283440565181802384944 y[1] (analytic) = 1.045885579539779961705465765215 y[1] (numeric) = 1.0458855795397799617054657652149 absolute error = 1e-31 relative error = 9.5612753398897520922591241190200e-30 % Correct digits = 31 h = 0.00062427412173677960980208466557109 Real estimate of pole used for equation 1 Radius of convergence = 0.0618 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79553233311302341097307237207818 y[1] (analytic) = 1.055871253164658468065747196357 y[1] (numeric) = 1.0558712531646584680657471963568 absolute error = 2e-31 relative error = 1.8941703299579355203958142462578e-29 % Correct digits = 30 h = 0.00061186864952561432149609092356097 Real estimate of pole used for equation 1 Radius of convergence = 0.06058 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79613809177973299426677770545084 y[1] (analytic) = 1.0608648377732222537769783115036 y[1] (numeric) = 1.0608648377732222537769783115035 absolute error = 1e-31 relative error = 9.4262715135230720212851788204466e-30 % Correct digits = 31 h = 0.0006057586667095832937053333726572 Real estimate of pole used for equation 1 Radius of convergence = 0.05997 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79733152260710351246162621082064 y[1] (analytic) = 1.0708534532832918209210856174306 y[1] (numeric) = 1.0708534532832918209210856174305 absolute error = 1e-31 relative error = 9.3383459420516272768512647612147e-30 % Correct digits = 31 h = 0.00059372113056179019946722809994969 Real estimate of pole used for equation 1 Radius of convergence = 0.05878 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.79850123777423858138509259098119 y[1] (analytic) = 1.0808439337277852823049875875067 y[1] (numeric) = 1.0808439337277852823049875875066 absolute error = 1e-31 relative error = 9.2520295372435689763390710375241e-30 % Correct digits = 31 h = 0.00058192280234361125202228142227974 Real estimate of pole used for equation 1 Radius of convergence = 0.05761 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.7990773496262657599899040666914 y[1] (analytic) = 1.08583985021271833766094224133 y[1] (numeric) = 1.0858398502127183376609422413301 absolute error = 1e-31 relative error = 9.2094612276764190565448227184833e-30 % Correct digits = 31 h = 0.00057611185202717860481147571021395 Real estimate of pole used for equation 1 Radius of convergence = 0.05704 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.8002123720073031686940083686892 y[1] (analytic) = 1.0958329911327281592218895868224 y[1] (numeric) = 1.0958329911327281592218895868223 absolute error = 1e-31 relative error = 9.1254781348235500286605879727148e-30 % Correct digits = 31 h = 0.00056466345248282013315595083876858 Real estimate of pole used for equation 1 Radius of convergence = 0.0559 Order of pole = 625 memory used=263.2MB, alloc=4.3MB, time=26.00 TOP MAIN SOLVE Loop x[1] = 0.80132483941110103203879575777851 y[1] (analytic) = 1.1058278186100112105813900212249 y[1] (numeric) = 1.105827818610011210581390021225 absolute error = 1e-31 relative error = 9.0429991285349173177663361191224e-30 % Correct digits = 31 h = 0.00055344255364282329318869966574124 Real estimate of pole used for equation 1 Radius of convergence = 0.05479 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.80241520004644075875164832487075 y[1] (analytic) = 1.1158242661737969603442114170516 y[1] (numeric) = 1.1158242661737969603442114170516 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.00054244463465077627815346155403164 Real estimate of pole used for equation 1 Radius of convergence = 0.0537 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.80348389321537290173463203016593 y[1] (analytic) = 1.1258222699771117567765386721284 y[1] (numeric) = 1.1258222699771117567765386721282 absolute error = 2e-31 relative error = 1.7764793372231484558853297498865e-29 % Correct digits = 30 h = 0.00053166526448797900848975625909168 Real estimate of pole used for equation 1 Radius of convergence = 0.05264 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.80401024939002203918886915756451 y[1] (analytic) = 1.130821836208207574040146281252 y[1] (numeric) = 1.1308218362082075740401462812521 absolute error = 1e-31 relative error = 8.8431260166776565368129688010840e-30 % Correct digits = 31 h = 0.00052635617464913745423712739857624 Real estimate of pole used for equation 1 Radius of convergence = 0.05211 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.80504724600191576918314451544461 y[1] (analytic) = 1.1408220601426717282802134985752 y[1] (numeric) = 1.1408220601426717282802134985753 absolute error = 1e-31 relative error = 8.7656088967541488716230382617381e-30 % Correct digits = 31 h = 0.00051589651170552702784583309081683 Real estimate of pole used for equation 1 Radius of convergence = 0.05107 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.8060636355884595930152101863138 y[1] (analytic) = 1.1508236915067597470791562101376 y[1] (numeric) = 1.1508236915067597470791562101375 absolute error = 1e-31 relative error = 8.6894283405889212719211445305005e-30 % Correct digits = 31 h = 0.0005056447014558968038435614601599 Real estimate of pole used for equation 1 Radius of convergence = 0.05006 Order of pole = 625 memory used=267.0MB, alloc=4.3MB, time=26.37 TOP MAIN SOLVE Loop x[1] = 0.80705982764905678857416594965343 y[1] (analytic) = 1.1608266748454612898764610684516 y[1] (numeric) = 1.1608266748454612898764610684514 absolute error = 2e-31 relative error = 1.7229100978974800903742987798461e-29 % Correct digits = 30 h = 0.00049559661348585123813209064397937 Real estimate of pole used for equation 1 Radius of convergence = 0.04906 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.80803622354560614498451386308492 y[1] (analytic) = 1.1708309568915986800389462457292 y[1] (numeric) = 1.1708309568915986800389462457295 absolute error = 3e-31 relative error = 2.5622827807394187609831299283941e-29 % Correct digits = 30 h = 0.00048574819945990727135051308099322 Real estimate of pole used for equation 1 Radius of convergence = 0.04809 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.80946455797312448930105290814927 y[1] (analytic) = 1.1858397036659465828445834155459 y[1] (numeric) = 1.1858397036659465828445834155462 absolute error = 3e-31 relative error = 2.5298528888227426077241038056640e-29 % Correct digits = 30 h = 0.00047134130891538188685368257386279 Real estimate of pole used for equation 1 Radius of convergence = 0.04666 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.81039316746595816083237279856475 y[1] (analytic) = 1.1958470130228796587416558993161 y[1] (numeric) = 1.1958470130228796587416558993162 absolute error = 1e-31 relative error = 8.3622736780701178470405428011079e-30 % Correct digits = 31 h = 0.00046197489229465661579723608011996 Real estimate of pole used for equation 1 Radius of convergence = 0.04574 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.81130332378436531071477860805484 y[1] (analytic) = 1.2058554506626550518819825857016 y[1] (numeric) = 1.2058554506626550518819825857015 absolute error = 1e-31 relative error = 8.2928679341331410567133678160552e-30 % Correct digits = 31 h = 0.00045279460355759780351169801491762 Real estimate of pole used for equation 1 Radius of convergence = 0.04483 Order of pole = 625 memory used=270.8MB, alloc=4.3MB, time=26.73 TOP MAIN SOLVE Loop x[1] = 0.81219539362677950387950370692025 y[1] (analytic) = 1.215864972140924939005688025027 y[1] (numeric) = 1.215864972140924939005688025027 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.00044379674400165131652016062298657 Real estimate of pole used for equation 1 Radius of convergence = 0.04394 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.8130697364046636155041634051676 y[1] (analytic) = 1.2258755347658637647972288889984 y[1] (numeric) = 1.2258755347658637647972288889983 absolute error = 1e-31 relative error = 8.1574350057568863393290680622435e-30 % Correct digits = 31 h = 0.00043497768842426911644959669629751 Real estimate of pole used for equation 1 Radius of convergence = 0.04306 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.81434878099663438113478376130603 y[1] (analytic) = 1.2408932415909290258134335999171 y[1] (numeric) = 1.2408932415909290258134335999169 absolute error = 2e-31 relative error = 1.6117421974478904856890225652995e-29 % Correct digits = 30 h = 0.00042207660931907245170785857150905 Real estimate of pole used for equation 1 Radius of convergence = 0.04179 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.81518033201646469239400739168087 y[1] (analytic) = 1.2509062311893147802886100108625 y[1] (numeric) = 1.2509062311893147802886100108627 absolute error = 2e-31 relative error = 1.5988408644335194721988054092948e-29 % Correct digits = 30 h = 0.00041368917266973082545458996431829 Real estimate of pole used for equation 1 Radius of convergence = 0.04096 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.8163967780851742648572533854637 y[1] (analytic) = 1.2659274004323996420029158874548 y[1] (numeric) = 1.2659274004323996420029158874549 absolute error = 1e-31 relative error = 7.8993471478572350367088799055678e-30 % Correct digits = 31 h = 0.00040141949336523759476981902786114 Real estimate of pole used for equation 1 Radius of convergence = 0.03974 Order of pole = 625 memory used=274.6MB, alloc=4.3MB, time=27.09 TOP MAIN SOLVE Loop x[1] = 0.81718763164520959626738275593084 y[1] (analytic) = 1.2759425850552184879630559463717 y[1] (numeric) = 1.2759425850552184879630559463716 absolute error = 1e-31 relative error = 7.8373432450075594556342927040379e-30 % Correct digits = 31 h = 0.00039344255151137968721628562075144 Real estimate of pole used for equation 1 Radius of convergence = 0.03895 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.81834454286423048514986601114744 y[1] (analytic) = 1.2909668858225878103126295684665 y[1] (numeric) = 1.2909668858225878103126295684664 absolute error = 1e-31 relative error = 7.7461320734250485281261573217702e-30 % Correct digits = 31 h = 0.00038177337027409321353165035591906 Real estimate of pole used for equation 1 Radius of convergence = 0.0378 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.81909669076436557075533376342921 y[1] (analytic) = 1.3009840557059773719017776970378 y[1] (numeric) = 1.300984055705977371901777697038 absolute error = 2e-31 relative error = 1.5372978563635835640846503185744e-29 % Correct digits = 30 h = 0.00037418683293257722032727146425859 Real estimate of pole used for equation 1 Radius of convergence = 0.03705 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82019698086610123074369025509378 y[1] (analytic) = 1.3160111887502209940359897443626 y[1] (numeric) = 1.3160111887502209940359897443624 absolute error = 2e-31 relative error = 1.5197439179064609952450231281947e-29 % Correct digits = 30 h = 0.00036308876041011345252034803041494 Real estimate of pole used for equation 1 Radius of convergence = 0.03595 Order of pole = 625 memory used=278.4MB, alloc=4.3MB, time=27.45 TOP MAIN SOLVE Loop x[1] = 0.82126463727185910723199079360467 y[1] (analytic) = 1.3310398895429987355332043148828 y[1] (numeric) = 1.3310398895429987355332043148832 absolute error = 4e-31 relative error = 3.0051691398770671680323663988355e-29 % Correct digits = 30 h = 0.00035231984755569192755142682528554 Real estimate of pole used for equation 1 Radius of convergence = 0.03488 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82230062787011832993128463845498 y[1] (analytic) = 1.3460700664074368153259720313144 y[1] (numeric) = 1.3460700664074368153259720313142 absolute error = 2e-31 relative error = 1.4858067569527451528346838393461e-29 % Correct digits = 30 h = 0.00034187033176532475701629249549274 Real estimate of pole used for equation 1 Radius of convergence = 0.03385 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82322699098227686611836893495314 y[1] (analytic) = 1.3599052851911857876588983781245 y[1] (numeric) = 1.3599052851911857876588983781243 absolute error = 2e-31 relative error = 1.4706906589592560102186016203627e-29 % Correct digits = 30 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.03292 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82423831050098807589138512931526 y[1] (analytic) = 1.3754617048665895344557532222 y[1] (numeric) = 1.3754617048665895344557532222001 absolute error = 1e-31 relative error = 7.2702860171377379366488239130497e-30 % Correct digits = 31 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.03191 Order of pole = 625 memory used=282.3MB, alloc=4.3MB, time=27.81 TOP MAIN SOLVE Loop x[1] = 0.82524963001969928566440132367738 y[1] (analytic) = 1.3915198264632695666538592959031 y[1] (numeric) = 1.3915198264632695666538592959026 absolute error = 5e-31 relative error = 3.5931935031843253111338242773068e-29 % Correct digits = 30 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.0309 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82600811965873269299416346944897 y[1] (analytic) = 1.403912567272645751002502028611 y[1] (numeric) = 1.4039125672726457510025020286111 absolute error = 1e-31 relative error = 7.1229506972979163863994488266843e-30 % Correct digits = 31 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.03014 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82701943917744390276717966381109 y[1] (analytic) = 1.4209308459089919506144172751083 y[1] (numeric) = 1.4209308459089919506144172751079 absolute error = 4e-31 relative error = 2.8150560680109218782211743894079e-29 % Correct digits = 30 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.02913 Order of pole = 625 memory used=286.1MB, alloc=4.3MB, time=28.18 TOP MAIN SOLVE Loop x[1] = 0.82803075869615511254019585817321 y[1] (analytic) = 1.4385509592553712016075800863016 y[1] (numeric) = 1.4385509592553712016075800863015 absolute error = 1e-31 relative error = 6.9514395271588029541934552657260e-30 % Correct digits = 31 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.02812 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.82904207821486632231321205253533 y[1] (analytic) = 1.456816883840060999213722093911 y[1] (numeric) = 1.4568168838400609992137220939103 absolute error = 7e-31 relative error = 4.8049964807852311628743943488204e-29 % Correct digits = 30 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.02711 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.83005339773357753208622824689745 y[1] (analytic) = 1.475777605575566054391214655253 y[1] (numeric) = 1.4757776055755660543912146552526 absolute error = 4e-31 relative error = 2.7104354916945398005029774572367e-29 % Correct digits = 30 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.0261 Order of pole = 625 memory used=289.9MB, alloc=4.3MB, time=28.55 TOP MAIN SOLVE Loop x[1] = 0.83106471725228874185924444125957 y[1] (analytic) = 1.4954879107171470358556928924598 y[1] (numeric) = 1.4954879107171470358556928924597 absolute error = 1e-31 relative error = 6.6867809016286831078296930847845e-30 % Correct digits = 31 h = 0.00025282987967780244325404859052896 Real estimate of pole used for equation 1 Radius of convergence = 0.02509 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.8320535431532048657659702955592 y[1] (analytic) = 1.5155436030751051520138900095317 y[1] (numeric) = 1.5155436030751051520138900095311 absolute error = 6e-31 relative error = 3.9589755041199303210966776780467e-29 % Correct digits = 30 h = 0.00024349758357246363807682108414248 Real estimate of pole used for equation 1 Radius of convergence = 0.02411 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.8330034599615217471938546388146 y[1] (analytic) = 1.5356005487310130039175549012964 y[1] (numeric) = 1.535600548731013003917554901296 absolute error = 4e-31 relative error = 2.6048440809073122990830576455610e-29 % Correct digits = 30 h = 0.00023391625078361265439374385541026 Real estimate of pole used for equation 1 Radius of convergence = 0.02316 Order of pole = 625 memory used=293.7MB, alloc=4.3MB, time=28.92 TOP MAIN SOLVE Loop x[1] = 0.83413846671145717094089926302083 y[1] (analytic) = 1.5606733466254385198685485001258 y[1] (numeric) = 1.560673346625438519868548500125 absolute error = 8e-31 relative error = 5.1259925834563505038202293164099e-29 % Correct digits = 30 h = 0.0002224680089023133717933052480828 Real estimate of pole used for equation 1 Radius of convergence = 0.02202 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.83500634432185738878624041764916 y[1] (analytic) = 1.5807327698920339803969045663778 y[1] (numeric) = 1.5807327698920339803969045663779 absolute error = 1e-31 relative error = 6.3261799783419511645566612408116e-30 % Correct digits = 31 h = 0.00021371416421567075379523791067243 Real estimate of pole used for equation 1 Radius of convergence = 0.02116 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.83604332665262321383959103278078 y[1] (analytic) = 1.6058083976882214008261261420201 y[1] (numeric) = 1.6058083976882214008261261420194 absolute error = 7e-31 relative error = 4.3591751108522335113700941389208e-29 % Correct digits = 30 h = 0.00020325464531861036143551303607218 memory used=297.5MB, alloc=4.3MB, time=29.28 Real estimate of pole used for equation 1 Radius of convergence = 0.02012 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.83702955738101224349674907225475 y[1] (analytic) = 1.6308853902444191849828096026682 y[1] (numeric) = 1.6308853902444191849828096026684 absolute error = 2e-31 relative error = 1.2263277431777483594298962338594e-29 % Correct digits = 30 h = 0.00019330703229339269973079531845455 Real estimate of pole used for equation 1 Radius of convergence = 0.01914 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.83809558735429855347627448912729 y[1] (analytic) = 1.6594875841991333669194059714224 y[1] (numeric) = 1.6594875841991333669194059714226 absolute error = 2e-31 relative error = 1.2051913006418770521643173580550e-29 % Correct digits = 30 h = 0.00012806698128389039177283109579946 Real estimate of pole used for equation 1 Radius of convergence = 0.01807 Order of pole = 625 memory used=301.3MB, alloc=4.3MB, time=29.65 TOP MAIN SOLVE Loop x[1] = 0.83912012320456967661045713789369 y[1] (analytic) = 1.6886120648357811827076254917476 y[1] (numeric) = 1.6886120648357811827076254917476 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.00012806698128389039177283109579946 Real estimate of pole used for equation 1 Radius of convergence = 0.01705 Order of pole = 625 memory used=305.1MB, alloc=4.3MB, time=30.01 TOP MAIN SOLVE Loop x[1] = 0.84006752820124591761254068040149 y[1] (analytic) = 1.7171444806118616586011663277536 y[1] (numeric) = 1.7171444806118616586011663277532 absolute error = 4e-31 relative error = 2.3294487127691780757893469761522e-29 % Correct digits = 30 h = 0.00011264081056491396535300984407751 Real estimate of pole used for equation 1 Radius of convergence = 0.0161 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.84108129549633014330071776899821 y[1] (analytic) = 1.749596096153011554245863436994 y[1] (numeric) = 1.7495960961530115542458634369935 absolute error = 5e-31 relative error = 2.8578024442292326687272498611831e-29 % Correct digits = 30 h = 0.00011264081056491396535300984407751 Real estimate of pole used for equation 1 Radius of convergence = 0.01509 Order of pole = 625 memory used=309.0MB, alloc=4.3MB, time=30.38 TOP MAIN SOLVE Loop x[1] = 0.84209506279141436898889485759493 y[1] (analytic) = 1.7843032222370429528083396817706 y[1] (numeric) = 1.7843032222370429528083396817682 absolute error = 2.4e-30 relative error = 1.3450628626848729230823186790073e-28 % Correct digits = 29 h = 0.00011264081056491396535300984407751 Real estimate of pole used for equation 1 Radius of convergence = 0.01408 Order of pole = 625 memory used=312.8MB, alloc=4.3MB, time=30.75 TOP MAIN SOLVE Loop x[1] = 0.84310883008649859467707194619165 y[1] (analytic) = 1.8216026375644824055312009821946 y[1] (numeric) = 1.8216026375644824055312009821921 absolute error = 2.5e-30 relative error = 1.3724178635042754733424966687453e-28 % Correct digits = 29 h = 0.00011264081056491396535300984407751 Real estimate of pole used for equation 1 Radius of convergence = 0.01307 Order of pole = 625 TOP MAIN SOLVE Loop x[1] = 0.84400995657101790639989602494429 y[1] (analytic) = 1.8572698320479061349637559899258 y[1] (numeric) = 1.8572698320479061349637559899221 absolute error = 3.7e-30 relative error = 1.9921714853464344452626889344106e-28 % Correct digits = 29 h = 0.00011264081056491396535300984407751 Real estimate of pole used for equation 1 Radius of convergence = 0.01217 Order of pole = 625 memory used=316.6MB, alloc=4.3MB, time=31.11 memory used=320.4MB, alloc=4.3MB, time=31.48 TOP MAIN SOLVE Loop x[1] = 0.84500637879912377712318767106524 y[1] (analytic) = 1.89991990862911079126653213356 y[1] (numeric) = 1.8999199086291107912665321335584 absolute error = 1.6e-30 relative error = 8.4214076221480392989557758433811e-29 % Correct digits = 30 h = 2.8881211685420059768439793373884e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.01117 Order of pole = 625 memory used=324.2MB, alloc=4.3MB, time=31.85 memory used=328.0MB, alloc=4.3MB, time=32.21 TOP MAIN SOLVE Loop memory used=331.9MB, alloc=4.3MB, time=32.58 x[1] = 0.84601722120811347921508306383319 y[1] (analytic) = 1.9472602240582356987872301703011 y[1] (numeric) = 1.9472602240582356987872301703059 absolute error = 4.8e-30 relative error = 2.4650018218912938142521032774734e-28 % Correct digits = 29 h = 2.8881211685420059768439793373884e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.01016 Order of pole = 625 memory used=335.7MB, alloc=4.3MB, time=32.95 memory used=339.5MB, alloc=4.3MB, time=33.32 memory used=343.3MB, alloc=4.3MB, time=33.68 memory used=347.1MB, alloc=4.3MB, time=34.05 TOP MAIN SOLVE Loop x[1] = 0.84700738829135530649119274636435 y[1] (analytic) = 1.9984319172603487751722461639725 y[1] (numeric) = 1.9984319172603487751722461639771 absolute error = 4.6e-30 relative error = 2.3018047101179919571085761722126e-28 % Correct digits = 29 h = 1.2573040387502531424158234218307e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.009174 Order of pole = 625 memory used=350.9MB, alloc=4.3MB, time=34.42 memory used=354.7MB, alloc=4.3MB, time=34.79 memory used=358.6MB, alloc=4.3MB, time=35.16 memory used=362.4MB, alloc=4.3MB, time=35.52 memory used=366.2MB, alloc=4.3MB, time=35.89 memory used=370.0MB, alloc=4.3MB, time=36.25 TOP MAIN SOLVE Loop x[1] = 0.84800065848196800647370124686773 y[1] (analytic) = 2.055635608656927798145112637138 y[1] (numeric) = 2.0556356086569277981451126371338 absolute error = 4.2e-30 relative error = 2.0431636727406742738309227398833e-28 % Correct digits = 29 h = 1.2573040387502531424158234218307e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.008182 Order of pole = 625 memory used=373.8MB, alloc=4.3MB, time=36.62 memory used=377.6MB, alloc=4.3MB, time=36.99 memory used=381.4MB, alloc=4.3MB, time=37.36 memory used=385.3MB, alloc=4.3MB, time=37.72 memory used=389.1MB, alloc=4.3MB, time=38.09 memory used=392.9MB, alloc=4.3MB, time=38.45 TOP MAIN SOLVE Loop x[1] = 0.84900650171296820898763390560533 y[1] (analytic) = 2.1211155886414357443040725987042 y[1] (numeric) = 2.1211155886414357443040725986914 absolute error = 1.28e-29 relative error = 6.0345603363361908870731285770539e-28 % Correct digits = 29 h = 1.2573040387502531424158234218307e-05 Real estimate of pole used for equation 1 Radius of convergence = 0.007178 Order of pole = 625 memory used=396.7MB, alloc=4.3MB, time=38.81 memory used=400.5MB, alloc=4.3MB, time=39.17 memory used=404.3MB, alloc=4.3MB, time=39.53 memory used=408.1MB, alloc=4.3MB, time=39.90 memory used=412.0MB, alloc=4.3MB, time=40.26 memory used=415.8MB, alloc=4.3MB, time=40.63 memory used=419.6MB, alloc=4.3MB, time=41.00 TOP MAIN SOLVE Loop x[1] = 0.85000044693679785154320596810003 y[1] (analytic) = 2.1955228055074902423561115524117 y[1] (numeric) = 2.1955228055074902423561115523891 absolute error = 2.26e-29 relative error = 1.0293675813026255478549703327284e-27 % Correct digits = 28 h = 8.1553506394705371880895042388662e-06 Real estimate of pole used for equation 1 Radius of convergence = 0.006185 Order of pole = 625 memory used=423.4MB, alloc=4.3MB, time=41.37 memory used=427.2MB, alloc=4.3MB, time=41.74 memory used=431.0MB, alloc=4.3MB, time=42.10 memory used=434.9MB, alloc=4.3MB, time=42.47 memory used=438.7MB, alloc=4.3MB, time=42.83 memory used=442.5MB, alloc=4.3MB, time=43.20 memory used=446.3MB, alloc=4.3MB, time=43.56 memory used=450.1MB, alloc=4.3MB, time=43.93 memory used=453.9MB, alloc=4.3MB, time=44.30 TOP MAIN SOLVE Loop x[1] = 0.85100355506545272761734097712155 y[1] (analytic) = 2.2838561014094314010541655374377 y[1] (numeric) = 2.2838561014094314010541655374044 absolute error = 3.33e-29 relative error = 1.4580603383658733903924491542818e-27 % Correct digits = 28 h = 8.1553506394705371880895042388662e-06 Real estimate of pole used for equation 1 Radius of convergence = 0.005184 Order of pole = 625 memory used=457.7MB, alloc=4.3MB, time=44.67 memory used=461.6MB, alloc=4.3MB, time=45.03 memory used=465.4MB, alloc=4.3MB, time=45.40 memory used=469.2MB, alloc=4.3MB, time=45.77 memory used=473.0MB, alloc=4.3MB, time=46.13 memory used=476.8MB, alloc=4.3MB, time=46.50 memory used=480.6MB, alloc=4.3MB, time=46.87 memory used=484.4MB, alloc=4.3MB, time=47.24 memory used=488.3MB, alloc=4.3MB, time=47.61 TOP MAIN SOLVE Loop x[1] = 0.85200666319410760369147598614307 y[1] (analytic) = 2.391218903572910682236240867444 y[1] (numeric) = 2.3912189035729106822362408673983 absolute error = 4.57e-29 relative error = 1.9111591971657629876513636581654e-27 % Correct digits = 28 h = 8.1553506394705371880895042388662e-06 Real estimate of pole used for equation 1 Radius of convergence = 0.004182 Order of pole = 625 memory used=492.1MB, alloc=4.3MB, time=47.98 memory used=495.9MB, alloc=4.3MB, time=48.35 memory used=499.7MB, alloc=4.3MB, time=48.72 memory used=503.5MB, alloc=4.3MB, time=49.09 memory used=507.3MB, alloc=4.3MB, time=49.47 memory used=511.2MB, alloc=4.3MB, time=49.84 memory used=515.0MB, alloc=4.3MB, time=50.21 memory used=518.8MB, alloc=4.3MB, time=50.58 memory used=522.6MB, alloc=4.3MB, time=50.95 TOP MAIN SOLVE Loop x[1] = 0.85300161597212300922842290566035 y[1] (analytic) = 2.526846687061646702153895249053 y[1] (numeric) = 2.5268466870616467021538952489859 absolute error = 6.71e-29 relative error = 2.6554836248505242977190145688773e-27 % Correct digits = 28 h = 8.1553506394705371880895042388662e-06 Real estimate of pole used for equation 1 Radius of convergence = 0.003188 Order of pole = 625 memory used=526.4MB, alloc=4.3MB, time=51.33 memory used=530.2MB, alloc=4.3MB, time=51.70 memory used=534.0MB, alloc=4.3MB, time=52.07 memory used=537.9MB, alloc=4.3MB, time=52.44 memory used=541.7MB, alloc=4.3MB, time=52.81 memory used=545.5MB, alloc=4.3MB, time=53.18 memory used=549.3MB, alloc=4.3MB, time=53.54 memory used=553.1MB, alloc=4.3MB, time=53.91 memory used=556.9MB, alloc=4.3MB, time=54.28 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.3MB, time=54.64 x[1] = 0.85400472410077788530255791468187 y[1] (analytic) = 2.7154082822604053125016593752555 y[1] (numeric) = 2.7154082822604053125016593751667 absolute error = 8.88e-29 relative error = 3.2702264547149288167740682062904e-27 % Correct digits = 28 h = 8.1553506394705371880895042388662e-06 Complex estimate of poles used for equation 1 Radius of convergence = 0.000967 Order of pole = 9.134e-27 memory used=564.6MB, alloc=4.3MB, time=55.01 memory used=568.4MB, alloc=4.3MB, time=55.38 memory used=572.2MB, alloc=4.3MB, time=55.75 memory used=576.0MB, alloc=4.3MB, time=56.11 memory used=579.8MB, alloc=4.3MB, time=56.47 memory used=583.6MB, alloc=4.3MB, time=56.84 memory used=587.4MB, alloc=4.3MB, time=57.21 memory used=591.3MB, alloc=4.3MB, time=57.57 memory used=595.1MB, alloc=4.3MB, time=57.93 memory used=598.9MB, alloc=4.3MB, time=58.30 memory used=602.7MB, alloc=4.3MB, time=58.67 memory used=606.5MB, alloc=4.3MB, time=59.03 memory used=610.3MB, alloc=4.3MB, time=59.39 memory used=614.2MB, alloc=4.3MB, time=59.76 memory used=618.0MB, alloc=4.3MB, time=60.12 memory used=621.8MB, alloc=4.3MB, time=60.49 memory used=625.6MB, alloc=4.3MB, time=60.86 memory used=629.4MB, alloc=4.3MB, time=61.22 memory used=633.2MB, alloc=4.3MB, time=61.59 TOP MAIN SOLVE Loop x[1] = 0.85500101904705858318945869193677 y[1] (analytic) = 3.0188715290255808281085276299035 y[1] (numeric) = 3.0188715290255808281085276300181 absolute error = 1.146e-28 relative error = 3.7961204674711721046021221376297e-27 % Correct digits = 28 h = 1.2636528359995119482266561528585e-06 Real estimate of pole used for equation 1 Radius of convergence = 0.001192 Order of pole = 625 memory used=637.0MB, alloc=4.3MB, time=61.96 memory used=640.9MB, alloc=4.3MB, time=62.32 memory used=644.7MB, alloc=4.3MB, time=62.70 memory used=648.5MB, alloc=4.3MB, time=63.08 memory used=652.3MB, alloc=4.3MB, time=63.44 memory used=656.1MB, alloc=4.3MB, time=63.82 memory used=659.9MB, alloc=4.3MB, time=64.18 memory used=663.7MB, alloc=4.3MB, time=64.55 memory used=667.6MB, alloc=4.3MB, time=64.92 memory used=671.4MB, alloc=4.3MB, time=65.29 memory used=675.2MB, alloc=4.3MB, time=65.66 memory used=679.0MB, alloc=4.3MB, time=66.03 memory used=682.8MB, alloc=4.3MB, time=66.40 memory used=686.6MB, alloc=4.3MB, time=66.77 memory used=690.5MB, alloc=4.3MB, time=67.14 memory used=694.3MB, alloc=4.3MB, time=67.51 memory used=698.1MB, alloc=4.3MB, time=67.88 memory used=701.9MB, alloc=4.3MB, time=68.25 memory used=705.7MB, alloc=4.3MB, time=68.62 memory used=709.5MB, alloc=4.3MB, time=68.99 memory used=713.3MB, alloc=4.3MB, time=69.36 memory used=717.2MB, alloc=4.3MB, time=69.73 memory used=721.0MB, alloc=4.3MB, time=70.11 memory used=724.8MB, alloc=4.3MB, time=70.48 memory used=728.6MB, alloc=4.3MB, time=70.85 memory used=732.4MB, alloc=4.3MB, time=71.22 memory used=736.2MB, alloc=4.3MB, time=71.59 memory used=740.0MB, alloc=4.3MB, time=71.96 memory used=743.9MB, alloc=4.3MB, time=72.34 memory used=747.7MB, alloc=4.3MB, time=72.71 memory used=751.5MB, alloc=4.3MB, time=73.08 memory used=755.3MB, alloc=4.3MB, time=73.45 memory used=759.1MB, alloc=4.3MB, time=73.82 memory used=762.9MB, alloc=4.3MB, time=74.19 memory used=766.7MB, alloc=4.3MB, time=74.56 memory used=770.6MB, alloc=4.3MB, time=74.93 memory used=774.4MB, alloc=4.3MB, time=75.31 memory used=778.2MB, alloc=4.3MB, time=75.68 memory used=782.0MB, alloc=4.3MB, time=76.05 memory used=785.8MB, alloc=4.3MB, time=76.42 memory used=789.6MB, alloc=4.3MB, time=76.79 memory used=793.5MB, alloc=4.3MB, time=77.16 memory used=797.3MB, alloc=4.3MB, time=77.53 memory used=801.1MB, alloc=4.3MB, time=77.90 memory used=804.9MB, alloc=4.3MB, time=78.27 memory used=808.7MB, alloc=4.3MB, time=78.64 memory used=812.5MB, alloc=4.3MB, time=79.01 memory used=816.3MB, alloc=4.3MB, time=79.38 memory used=820.2MB, alloc=4.3MB, time=79.75 memory used=824.0MB, alloc=4.3MB, time=80.12 memory used=827.8MB, alloc=4.3MB, time=80.49 memory used=831.6MB, alloc=4.3MB, time=80.86 memory used=835.4MB, alloc=4.3MB, time=81.23 memory used=839.2MB, alloc=4.3MB, time=81.60 memory used=843.0MB, alloc=4.3MB, time=81.97 memory used=846.9MB, alloc=4.3MB, time=82.33 memory used=850.7MB, alloc=4.3MB, time=82.70 memory used=854.5MB, alloc=4.3MB, time=83.07 memory used=858.3MB, alloc=4.3MB, time=83.43 memory used=862.1MB, alloc=4.3MB, time=83.80 memory used=865.9MB, alloc=4.3MB, time=84.17 memory used=869.7MB, alloc=4.3MB, time=84.53 memory used=873.6MB, alloc=4.3MB, time=84.89 memory used=877.4MB, alloc=4.3MB, time=85.26 memory used=881.2MB, alloc=4.3MB, time=85.62 memory used=885.0MB, alloc=4.3MB, time=85.99 memory used=888.8MB, alloc=4.3MB, time=86.36 memory used=892.6MB, alloc=4.3MB, time=86.72 memory used=896.5MB, alloc=4.3MB, time=87.09 memory used=900.3MB, alloc=4.3MB, time=87.46 TOP MAIN SOLVE Loop x[1] = 0.85600010195663708629587362870256 y[1] (analytic) = 3.9262530141532510252264071815912 y[1] (numeric) = 3.9262530141532510252264071818495 absolute error = 2.583e-28 relative error = 6.5787915111147224339757957967645e-27 % Correct digits = 28 h = 2.8732350009069743864845002739182e-07 Real estimate of pole used for equation 1 Radius of convergence = 0.0001941 Order of pole = 625 memory used=904.1MB, alloc=4.3MB, time=87.83 memory used=907.9MB, alloc=4.3MB, time=88.19 memory used=911.7MB, alloc=4.3MB, time=88.56 memory used=915.5MB, alloc=4.3MB, time=88.93 memory used=919.3MB, alloc=4.3MB, time=89.29 memory used=923.2MB, alloc=4.3MB, time=89.66 memory used=927.0MB, alloc=4.3MB, time=90.03 memory used=930.8MB, alloc=4.3MB, time=90.40 memory used=934.6MB, alloc=4.3MB, time=90.77 memory used=938.4MB, alloc=4.3MB, time=91.14 memory used=942.2MB, alloc=4.3MB, time=91.51 memory used=946.0MB, alloc=4.3MB, time=91.88 memory used=949.9MB, alloc=4.3MB, time=92.24 memory used=953.7MB, alloc=4.3MB, time=92.62 memory used=957.5MB, alloc=4.3MB, time=93.00 memory used=961.3MB, alloc=4.3MB, time=93.37 memory used=965.1MB, alloc=4.3MB, time=93.74 memory used=968.9MB, alloc=4.3MB, time=94.12 memory used=972.8MB, alloc=4.3MB, time=94.49 memory used=976.6MB, alloc=4.3MB, time=94.86 memory used=980.4MB, alloc=4.3MB, time=95.24 memory used=984.2MB, alloc=4.3MB, time=95.61 memory used=988.0MB, alloc=4.3MB, time=95.98 memory used=991.8MB, alloc=4.3MB, time=96.36 memory used=995.6MB, alloc=4.3MB, time=96.73 memory used=999.5MB, alloc=4.3MB, time=97.10 memory used=1003.3MB, alloc=4.3MB, time=97.47 memory used=1007.1MB, alloc=4.3MB, time=97.85 memory used=1010.9MB, alloc=4.3MB, time=98.23 memory used=1014.7MB, alloc=4.3MB, time=98.60 memory used=1018.5MB, alloc=4.3MB, time=98.98 memory used=1022.3MB, alloc=4.3MB, time=99.35 memory used=1026.2MB, alloc=4.3MB, time=99.73 memory used=1030.0MB, alloc=4.3MB, time=100.10 memory used=1033.8MB, alloc=4.3MB, time=100.48 memory used=1037.6MB, alloc=4.3MB, time=100.85 memory used=1041.4MB, alloc=4.3MB, time=101.22 memory used=1045.2MB, alloc=4.3MB, time=101.60 memory used=1049.1MB, alloc=4.3MB, time=101.98 memory used=1052.9MB, alloc=4.3MB, time=102.35 memory used=1056.7MB, alloc=4.3MB, time=102.73 memory used=1060.5MB, alloc=4.3MB, time=103.10 memory used=1064.3MB, alloc=4.3MB, time=103.48 memory used=1068.1MB, alloc=4.3MB, time=103.85 memory used=1071.9MB, alloc=4.3MB, time=104.22 memory used=1075.8MB, alloc=4.3MB, time=104.60 memory used=1079.6MB, alloc=4.3MB, time=104.98 memory used=1083.4MB, alloc=4.3MB, time=105.35 memory used=1087.2MB, alloc=4.3MB, time=105.72 memory used=1091.0MB, alloc=4.3MB, time=106.10 memory used=1094.8MB, alloc=4.3MB, time=106.47 memory used=1098.6MB, alloc=4.3MB, time=106.85 memory used=1102.5MB, alloc=4.3MB, time=107.22 memory used=1106.3MB, alloc=4.3MB, time=107.59 memory used=1110.1MB, alloc=4.3MB, time=107.96 memory used=1113.9MB, alloc=4.3MB, time=108.34 memory used=1117.7MB, alloc=4.3MB, time=108.71 memory used=1121.5MB, alloc=4.3MB, time=109.08 memory used=1125.3MB, alloc=4.3MB, time=109.46 memory used=1129.2MB, alloc=4.3MB, time=109.83 memory used=1133.0MB, alloc=4.3MB, time=110.20 memory used=1136.8MB, alloc=4.3MB, time=110.58 memory used=1140.6MB, alloc=4.3MB, time=110.95 memory used=1144.4MB, alloc=4.3MB, time=111.33 memory used=1148.2MB, alloc=4.3MB, time=111.70 memory used=1152.1MB, alloc=4.3MB, time=112.07 memory used=1155.9MB, alloc=4.3MB, time=112.44 memory used=1159.7MB, alloc=4.3MB, time=112.81 memory used=1163.5MB, alloc=4.3MB, time=113.17 memory used=1167.3MB, alloc=4.3MB, time=113.54 memory used=1171.1MB, alloc=4.3MB, time=113.91 memory used=1174.9MB, alloc=4.3MB, time=114.28 memory used=1178.8MB, alloc=4.3MB, time=114.65 memory used=1182.6MB, alloc=4.3MB, time=115.02 memory used=1186.4MB, alloc=4.3MB, time=115.38 memory used=1190.2MB, alloc=4.3MB, time=115.75 memory used=1194.0MB, alloc=4.3MB, time=116.12 memory used=1197.8MB, alloc=4.3MB, time=116.50 memory used=1201.6MB, alloc=4.3MB, time=116.86 memory used=1205.5MB, alloc=4.3MB, time=117.23 memory used=1209.3MB, alloc=4.3MB, time=117.59 memory used=1213.1MB, alloc=4.3MB, time=117.96 memory used=1216.9MB, alloc=4.3MB, time=118.32 memory used=1220.7MB, alloc=4.3MB, time=118.69 memory used=1224.5MB, alloc=4.3MB, time=119.06 memory used=1228.3MB, alloc=4.3MB, time=119.42 memory used=1232.2MB, alloc=4.3MB, time=119.79 memory used=1236.0MB, alloc=4.3MB, time=120.16 memory used=1239.8MB, alloc=4.3MB, time=120.52 memory used=1243.6MB, alloc=4.3MB, time=120.89 memory used=1247.4MB, alloc=4.3MB, time=121.26 memory used=1251.2MB, alloc=4.3MB, time=121.63 memory used=1255.1MB, alloc=4.3MB, time=122.00 memory used=1258.9MB, alloc=4.3MB, time=122.38 memory used=1262.7MB, alloc=4.3MB, time=122.75 memory used=1266.5MB, alloc=4.3MB, time=123.12 memory used=1270.3MB, alloc=4.3MB, time=123.49 memory used=1274.1MB, alloc=4.3MB, time=123.86 memory used=1277.9MB, alloc=4.3MB, time=124.23 memory used=1281.8MB, alloc=4.3MB, time=124.60 memory used=1285.6MB, alloc=4.3MB, time=124.97 memory used=1289.4MB, alloc=4.3MB, time=125.35 memory used=1293.2MB, alloc=4.3MB, time=125.72 memory used=1297.0MB, alloc=4.3MB, time=126.09 memory used=1300.8MB, alloc=4.3MB, time=126.47 memory used=1304.6MB, alloc=4.3MB, time=126.84 memory used=1308.5MB, alloc=4.3MB, time=127.21 memory used=1312.3MB, alloc=4.3MB, time=127.59 memory used=1316.1MB, alloc=4.3MB, time=127.97 memory used=1319.9MB, alloc=4.3MB, time=128.34 memory used=1323.7MB, alloc=4.3MB, time=128.72 memory used=1327.5MB, alloc=4.3MB, time=129.10 memory used=1331.4MB, alloc=4.3MB, time=129.47 memory used=1335.2MB, alloc=4.3MB, time=129.85 memory used=1339.0MB, alloc=4.3MB, time=130.22 memory used=1342.8MB, alloc=4.3MB, time=130.60 memory used=1346.6MB, alloc=4.3MB, time=130.97 memory used=1350.4MB, alloc=4.3MB, time=131.34 memory used=1354.2MB, alloc=4.3MB, time=131.72 memory used=1358.1MB, alloc=4.3MB, time=132.10 memory used=1361.9MB, alloc=4.3MB, time=132.47 memory used=1365.7MB, alloc=4.3MB, time=132.85 memory used=1369.5MB, alloc=4.3MB, time=133.23 memory used=1373.3MB, alloc=4.3MB, time=133.60 memory used=1377.1MB, alloc=4.3MB, time=133.98 memory used=1380.9MB, alloc=4.3MB, time=134.36 memory used=1384.8MB, alloc=4.3MB, time=134.73 memory used=1388.6MB, alloc=4.3MB, time=135.11 memory used=1392.4MB, alloc=4.3MB, time=135.48 memory used=1396.2MB, alloc=4.3MB, time=135.86 memory used=1400.0MB, alloc=4.3MB, time=136.24 memory used=1403.8MB, alloc=4.3MB, time=136.61 memory used=1407.7MB, alloc=4.3MB, time=136.99 memory used=1411.5MB, alloc=4.3MB, time=137.37 memory used=1415.3MB, alloc=4.3MB, time=137.74 memory used=1419.1MB, alloc=4.3MB, time=138.12 memory used=1422.9MB, alloc=4.3MB, time=138.49 memory used=1426.7MB, alloc=4.3MB, time=138.87 memory used=1430.5MB, alloc=4.3MB, time=139.24 memory used=1434.4MB, alloc=4.3MB, time=139.62 memory used=1438.2MB, alloc=4.3MB, time=140.00 memory used=1442.0MB, alloc=4.3MB, time=140.37 memory used=1445.8MB, alloc=4.3MB, time=140.75 memory used=1449.6MB, alloc=4.3MB, time=141.13 memory used=1453.4MB, alloc=4.3MB, time=141.54 memory used=1457.2MB, alloc=4.3MB, time=141.92 memory used=1461.1MB, alloc=4.3MB, time=142.29 memory used=1464.9MB, alloc=4.3MB, time=142.67 memory used=1468.7MB, alloc=4.3MB, time=143.05 memory used=1472.5MB, alloc=4.3MB, time=143.42 memory used=1476.3MB, alloc=4.3MB, time=143.79 memory used=1480.1MB, alloc=4.3MB, time=144.16 memory used=1483.9MB, alloc=4.3MB, time=144.54 memory used=1487.8MB, alloc=4.3MB, time=144.92 memory used=1491.6MB, alloc=4.3MB, time=145.29 memory used=1495.4MB, alloc=4.3MB, time=145.67 memory used=1499.2MB, alloc=4.3MB, time=146.05 memory used=1503.0MB, alloc=4.3MB, time=146.42 memory used=1506.8MB, alloc=4.3MB, time=146.80 memory used=1510.7MB, alloc=4.3MB, time=147.18 memory used=1514.5MB, alloc=4.3MB, time=147.55 memory used=1518.3MB, alloc=4.3MB, time=147.93 memory used=1522.1MB, alloc=4.3MB, time=148.30 memory used=1525.9MB, alloc=4.3MB, time=148.68 memory used=1529.7MB, alloc=4.3MB, time=149.05 memory used=1533.5MB, alloc=4.3MB, time=149.43 memory used=1537.4MB, alloc=4.3MB, time=149.81 memory used=1541.2MB, alloc=4.3MB, time=150.18 memory used=1545.0MB, alloc=4.3MB, time=150.56 memory used=1548.8MB, alloc=4.3MB, time=150.94 memory used=1552.6MB, alloc=4.3MB, time=151.31 memory used=1556.4MB, alloc=4.3MB, time=151.69 memory used=1560.2MB, alloc=4.3MB, time=152.06 memory used=1564.1MB, alloc=4.3MB, time=152.44 memory used=1567.9MB, alloc=4.3MB, time=152.82 memory used=1571.7MB, alloc=4.3MB, time=153.19 memory used=1575.5MB, alloc=4.3MB, time=153.57 memory used=1579.3MB, alloc=4.3MB, time=153.94 memory used=1583.1MB, alloc=4.3MB, time=154.32 memory used=1586.9MB, alloc=4.3MB, time=154.69 memory used=1590.8MB, alloc=4.3MB, time=155.07 memory used=1594.6MB, alloc=4.3MB, time=155.44 memory used=1598.4MB, alloc=4.3MB, time=155.82 memory used=1602.2MB, alloc=4.3MB, time=156.20 memory used=1606.0MB, alloc=4.3MB, time=156.57 memory used=1609.8MB, alloc=4.3MB, time=156.95 memory used=1613.7MB, alloc=4.3MB, time=157.33 memory used=1617.5MB, alloc=4.3MB, time=157.70 memory used=1621.3MB, alloc=4.3MB, time=158.08 memory used=1625.1MB, alloc=4.3MB, time=158.45 memory used=1628.9MB, alloc=4.3MB, time=158.82 memory used=1632.7MB, alloc=4.3MB, time=159.20 memory used=1636.5MB, alloc=4.3MB, time=159.57 memory used=1640.4MB, alloc=4.3MB, time=159.95 memory used=1644.2MB, alloc=4.3MB, time=160.32 memory used=1648.0MB, alloc=4.3MB, time=160.69 memory used=1651.8MB, alloc=4.3MB, time=161.07 memory used=1655.6MB, alloc=4.3MB, time=161.44 memory used=1659.4MB, alloc=4.3MB, time=161.82 memory used=1663.2MB, alloc=4.3MB, time=162.19 memory used=1667.1MB, alloc=4.3MB, time=162.56 memory used=1670.9MB, alloc=4.3MB, time=162.94 memory used=1674.7MB, alloc=4.3MB, time=163.32 memory used=1678.5MB, alloc=4.3MB, time=163.69 memory used=1682.3MB, alloc=4.3MB, time=164.06 memory used=1686.1MB, alloc=4.3MB, time=164.44 memory used=1689.9MB, alloc=4.3MB, time=164.81 memory used=1693.8MB, alloc=4.3MB, time=165.19 memory used=1697.6MB, alloc=4.3MB, time=165.56 memory used=1701.4MB, alloc=4.3MB, time=165.94 memory used=1705.2MB, alloc=4.3MB, time=166.31 memory used=1709.0MB, alloc=4.3MB, time=166.69 memory used=1712.8MB, alloc=4.3MB, time=167.06 memory used=1716.7MB, alloc=4.3MB, time=167.44 memory used=1720.5MB, alloc=4.3MB, time=167.82 memory used=1724.3MB, alloc=4.3MB, time=168.19 memory used=1728.1MB, alloc=4.3MB, time=168.57 memory used=1731.9MB, alloc=4.3MB, time=168.95 memory used=1735.7MB, alloc=4.3MB, time=169.32 memory used=1739.5MB, alloc=4.3MB, time=169.70 memory used=1743.4MB, alloc=4.3MB, time=170.07 memory used=1747.2MB, alloc=4.3MB, time=170.45 memory used=1751.0MB, alloc=4.3MB, time=170.82 memory used=1754.8MB, alloc=4.3MB, time=171.19 memory used=1758.6MB, alloc=4.3MB, time=171.57 memory used=1762.4MB, alloc=4.3MB, time=171.94 memory used=1766.2MB, alloc=4.3MB, time=172.31 memory used=1770.1MB, alloc=4.3MB, time=172.69 memory used=1773.9MB, alloc=4.3MB, time=173.06 memory used=1777.7MB, alloc=4.3MB, time=173.43 memory used=1781.5MB, alloc=4.3MB, time=173.81 memory used=1785.3MB, alloc=4.3MB, time=174.19 memory used=1789.1MB, alloc=4.3MB, time=174.56 memory used=1793.0MB, alloc=4.3MB, time=174.93 memory used=1796.8MB, alloc=4.3MB, time=175.31 memory used=1800.6MB, alloc=4.3MB, time=175.68 memory used=1804.4MB, alloc=4.3MB, time=176.06 memory used=1808.2MB, alloc=4.3MB, time=176.43 memory used=1812.0MB, alloc=4.3MB, time=176.80 memory used=1815.8MB, alloc=4.3MB, time=177.17 memory used=1819.7MB, alloc=4.3MB, time=177.54 memory used=1823.5MB, alloc=4.3MB, time=177.92 memory used=1827.3MB, alloc=4.3MB, time=178.29 memory used=1831.1MB, alloc=4.3MB, time=178.66 memory used=1834.9MB, alloc=4.3MB, time=179.04 memory used=1838.7MB, alloc=4.3MB, time=179.41 memory used=1842.5MB, alloc=4.3MB, time=179.78 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = tan (2.0 * x + 3.0 ) ; Iterations = 6687 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 2 Minutes 59 Seconds Expected Time Remaining = 14 Minutes 31 Seconds Optimized Time Remaining = 14 Minutes 30 Seconds Expected Total Time = 17 Minutes 31 Seconds Time to Timeout Unknown Percent Done = 17.12 % > quit memory used=1846.1MB, alloc=4.3MB, time=180.11