|\^/| 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_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_y_higher[1,m]/array_y_higher[1,m-1]; > rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2]; > hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 1 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 1 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]); > rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]); > rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]); > rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]); > rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (omniabs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2; > #BOTTOM RADII COMPLEX EQ = 1 > found_sing := 0; > #TOP WHICH RADII EQ = 1 > if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found_sing := 1; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found_sing := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing ) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > #BOTTOM WHICH RADII EQ = 1 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if (array_pole[1] > array_poles[1,1]) then # if number 2 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 2; > #BOTTOM WHICH RADIUS EQ = 1 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_y[term] := array_y[term]* ratio; > array_y_higher[1,term] := array_y_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > ratio := ratio * h_new / omniabs(glob_h); > term := term + 1; > od;# end do number 2; > glob_h := h_new; > fi;# end if 2; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 2 > display_pole(); > fi;# end if 2 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_y_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_y_higher[1, m]) or glob_large_float <= omniabs(array_y_higher[1, m - 1]) or glob_large_float <= omniabs(array_y_higher[1, m - 2]) or glob_large_float <= omniabs(array_y_higher[1, m - 3]) or glob_large_float <= omniabs(array_y_higher[1, m - 4]) or glob_large_float <= omniabs(array_y_higher[1, m - 5]) or omniabs(array_y_higher[1, m]) <= glob_small_float or omniabs(array_y_higher[1, m - 1]) <= glob_small_float or omniabs(array_y_higher[1, m - 2]) <= glob_small_float or omniabs(array_y_higher[1, m - 3]) <= glob_small_float or omniabs(array_y_higher[1, m - 4]) <= glob_small_float or omniabs(array_y_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3]; rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4]; rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h) else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; found_sing := 0; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found_sing := 1; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found_sing := 1; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found_sing := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then h_new := array_pole[1]*glob_ratio_of_radius; term := 1; ratio := 1.0; while term <= glob_max_terms do array_y[term] := array_y[term]*ratio; array_y_higher[1, term] := array_y_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_2D0[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_1D0[1]; > #emit pre sqrt 1 $eq_no = 1 > array_tmp3[1] := sqrt(array_tmp2[1]); > #emit pre tanh $eq_no = 1 > array_tmp4_a1[1] := sinh(array_tmp3[1]); > array_tmp4_a2[1] := cosh(array_tmp3[1]); > array_tmp4[1] := (array_tmp4_a1[1] / array_tmp4_a2[1]); > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp5[1] := array_const_2D0[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp6[1] := array_tmp5[1] + array_const_1D0[1]; > #emit pre sqrt 1 $eq_no = 1 > array_tmp7[1] := sqrt(array_tmp6[1]); > #emit pre tanh $eq_no = 1 > array_tmp8_a1[1] := sinh(array_tmp7[1]); > array_tmp8_a2[1] := cosh(array_tmp7[1]); > array_tmp8[1] := (array_tmp8_a1[1] / array_tmp8_a2[1]); > # emit pre mult FULL FULL $eq_no = 1 i = 1 > array_tmp9[1] := (array_tmp4[1] * (array_tmp8[1])); > #emit pre sub CONST FULL $eq_no = 1 i = 1 > array_tmp10[1] := array_const_1D0[1] - array_tmp9[1]; > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp11[1] := array_const_2D0[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp12[1] := array_tmp11[1] + array_const_1D0[1]; > #emit pre sqrt 1 $eq_no = 1 > array_tmp13[1] := sqrt(array_tmp12[1]); > #emit pre div FULL - FULL $eq_no = 1 i = 1 > array_tmp14[1] := (array_tmp10[1] / (array_tmp13[1])); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp15[1] := array_const_0D0[1] + array_tmp14[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp15[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_2D0[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre sqrt 2 $eq_no = 1 > array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0; > #emit pre tanh $eq_no = 1 > array_tmp4_a1[2] := att(1,array_tmp4_a2,array_tmp3,1); > array_tmp4_a2[2] := att(1,array_tmp4_a1,array_tmp3,1); > array_tmp4[2] := (array_tmp4_a1[2] - ats(2,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1]; > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp5[2] := array_const_2D0[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp6[2] := array_tmp5[2]; > #emit pre sqrt 2 $eq_no = 1 > array_tmp7[2] := array_tmp6[2] / array_tmp7[1]/2.0; > #emit pre tanh $eq_no = 1 > array_tmp8_a1[2] := att(1,array_tmp8_a2,array_tmp7,1); > array_tmp8_a2[2] := att(1,array_tmp8_a1,array_tmp7,1); > array_tmp8[2] := (array_tmp8_a1[2] - ats(2,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1]; > # emit pre mult FULL FULL $eq_no = 1 i = 2 > array_tmp9[2] := ats(2,array_tmp4,array_tmp8,1); > #emit pre sub CONST FULL $eq_no = 1 i = 2 > array_tmp10[2] := array_const_1D0[2] - array_tmp9[2]; > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp11[2] := array_const_2D0[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp12[2] := array_tmp11[2]; > #emit pre sqrt 2 $eq_no = 1 > array_tmp13[2] := array_tmp12[2] / array_tmp13[1]/2.0; > #emit pre div FULL - FULL $eq_no = 1 i = 2 > array_tmp14[2] := ((array_tmp10[2] - ats(2,array_tmp13,array_tmp14,2))/array_tmp13[1]); > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp15[2] := array_tmp14[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp15[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := 0.0; > array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre tanh $eq_no = 1 > array_tmp4_a1[3] := att(2,array_tmp4_a2,array_tmp3,1); > array_tmp4_a2[3] := att(2,array_tmp4_a1,array_tmp3,1); > array_tmp4[3] := (array_tmp4_a1[3] - ats(3,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1]; > #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1 > array_tmp7[3] := 0.0; > array_tmp7[3] := -ats(3,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0; > #emit pre tanh $eq_no = 1 > array_tmp8_a1[3] := att(2,array_tmp8_a2,array_tmp7,1); > array_tmp8_a2[3] := att(2,array_tmp8_a1,array_tmp7,1); > array_tmp8[3] := (array_tmp8_a1[3] - ats(3,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1]; > # emit pre mult FULL FULL $eq_no = 1 i = 3 > array_tmp9[3] := ats(3,array_tmp4,array_tmp8,1); > #emit pre sub CONST FULL $eq_no = 1 i = 3 > array_tmp10[3] := array_const_1D0[3] - array_tmp9[3]; > #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1 > array_tmp13[3] := 0.0; > array_tmp13[3] := -ats(3,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0; > #emit pre div FULL - FULL $eq_no = 1 i = 3 > array_tmp14[3] := ((array_tmp10[3] - ats(3,array_tmp13,array_tmp14,2))/array_tmp13[1]); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp15[3] := array_tmp14[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp15[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := 0.0; > array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre tanh $eq_no = 1 > array_tmp4_a1[4] := att(3,array_tmp4_a2,array_tmp3,1); > array_tmp4_a2[4] := att(3,array_tmp4_a1,array_tmp3,1); > array_tmp4[4] := (array_tmp4_a1[4] - ats(4,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1]; > #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1 > array_tmp7[4] := 0.0; > array_tmp7[4] := -ats(4,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0; > #emit pre tanh $eq_no = 1 > array_tmp8_a1[4] := att(3,array_tmp8_a2,array_tmp7,1); > array_tmp8_a2[4] := att(3,array_tmp8_a1,array_tmp7,1); > array_tmp8[4] := (array_tmp8_a1[4] - ats(4,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1]; > # emit pre mult FULL FULL $eq_no = 1 i = 4 > array_tmp9[4] := ats(4,array_tmp4,array_tmp8,1); > #emit pre sub CONST FULL $eq_no = 1 i = 4 > array_tmp10[4] := array_const_1D0[4] - array_tmp9[4]; > #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1 > array_tmp13[4] := 0.0; > array_tmp13[4] := -ats(4,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0; > #emit pre div FULL - FULL $eq_no = 1 i = 4 > array_tmp14[4] := ((array_tmp10[4] - ats(4,array_tmp13,array_tmp14,2))/array_tmp13[1]); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp15[4] := array_tmp14[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp15[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := 0.0; > array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre tanh $eq_no = 1 > array_tmp4_a1[5] := att(4,array_tmp4_a2,array_tmp3,1); > array_tmp4_a2[5] := att(4,array_tmp4_a1,array_tmp3,1); > array_tmp4[5] := (array_tmp4_a1[5] - ats(5,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1]; > #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1 > array_tmp7[5] := 0.0; > array_tmp7[5] := -ats(5,array_tmp7,array_tmp7,2) / array_tmp7[1] / 2.0; > #emit pre tanh $eq_no = 1 > array_tmp8_a1[5] := att(4,array_tmp8_a2,array_tmp7,1); > array_tmp8_a2[5] := att(4,array_tmp8_a1,array_tmp7,1); > array_tmp8[5] := (array_tmp8_a1[5] - ats(5,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1]; > # emit pre mult FULL FULL $eq_no = 1 i = 5 > array_tmp9[5] := ats(5,array_tmp4,array_tmp8,1); > #emit pre sub CONST FULL $eq_no = 1 i = 5 > array_tmp10[5] := array_const_1D0[5] - array_tmp9[5]; > #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1 > array_tmp13[5] := 0.0; > array_tmp13[5] := -ats(5,array_tmp13,array_tmp13,2) / array_tmp13[1] / 2.0; > #emit pre div FULL - FULL $eq_no = 1 i = 5 > array_tmp14[5] := ((array_tmp10[5] - ats(5,array_tmp13,array_tmp14,2))/array_tmp13[1]); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp15[5] := array_tmp14[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp15[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit sqrt LINEAR $eq_no = 1 > array_tmp3[kkk] := 0.0; > array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0; > array_tmp4_a1[kkk] := att(kkk-1 ,array_tmp4_a2,array_tmp3,1); > array_tmp4_a2[kkk] := att(kkk-1,array_tmp4_a1,array_tmp3,1); > array_tmp4[kkk] := (array_tmp4_a1[kkk] - ats(kkk ,array_tmp4_a2,array_tmp4,2)) / array_tmp4_a2[1]; > #emit sqrt LINEAR $eq_no = 1 > array_tmp7[kkk] := 0.0; > array_tmp7[kkk] := -ats(kkk,array_tmp7,array_tmp7,2) /array_tmp7[1] / 2.0; > array_tmp8_a1[kkk] := att(kkk-1 ,array_tmp8_a2,array_tmp7,1); > array_tmp8_a2[kkk] := att(kkk-1,array_tmp8_a1,array_tmp7,1); > array_tmp8[kkk] := (array_tmp8_a1[kkk] - ats(kkk ,array_tmp8_a2,array_tmp8,2)) / array_tmp8_a2[1]; > #emit mult FULL FULL $eq_no = 1 > array_tmp9[kkk] := ats(kkk,array_tmp4,array_tmp8,1); > #emit NOT FULL - FULL sub $eq_no = 1 > array_tmp10[kkk] := - array_tmp9[kkk]; > #emit sqrt LINEAR $eq_no = 1 > array_tmp13[kkk] := 0.0; > array_tmp13[kkk] := -ats(kkk,array_tmp13,array_tmp13,2) /array_tmp13[1] / 2.0; > #emit div FULL FULL $eq_no = 1 > array_tmp14[kkk] := ((array_tmp10[kkk] - ats(kkk,array_tmp13,array_tmp14,2))/array_tmp13[1]); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp15[kkk] := array_tmp14[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp15[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_y_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_2D0[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_1D0[1]; array_tmp3[1] := sqrt(array_tmp2[1]); array_tmp4_a1[1] := sinh(array_tmp3[1]); array_tmp4_a2[1] := cosh(array_tmp3[1]); array_tmp4[1] := array_tmp4_a1[1]/array_tmp4_a2[1]; array_tmp5[1] := array_const_2D0[1]*array_x[1]; array_tmp6[1] := array_tmp5[1] + array_const_1D0[1]; array_tmp7[1] := sqrt(array_tmp6[1]); array_tmp8_a1[1] := sinh(array_tmp7[1]); array_tmp8_a2[1] := cosh(array_tmp7[1]); array_tmp8[1] := array_tmp8_a1[1]/array_tmp8_a2[1]; array_tmp9[1] := array_tmp4[1]*array_tmp8[1]; array_tmp10[1] := array_const_1D0[1] - array_tmp9[1]; array_tmp11[1] := array_const_2D0[1]*array_x[1]; array_tmp12[1] := array_tmp11[1] + array_const_1D0[1]; array_tmp13[1] := sqrt(array_tmp12[1]); array_tmp14[1] := array_tmp10[1]/array_tmp13[1]; array_tmp15[1] := array_const_0D0[1] + array_tmp14[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp15[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_2D0[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0); array_tmp4_a1[2] := att(1, array_tmp4_a2, array_tmp3, 1); array_tmp4_a2[2] := att(1, array_tmp4_a1, array_tmp3, 1); array_tmp4[2] := ( array_tmp4_a1[2] - ats(2, array_tmp4_a2, array_tmp4, 2))/ array_tmp4_a2[1]; array_tmp5[2] := array_const_2D0[1]*array_x[2]; array_tmp6[2] := array_tmp5[2]; array_tmp7[2] := array_tmp6[2]/(array_tmp7[1]*2.0); array_tmp8_a1[2] := att(1, array_tmp8_a2, array_tmp7, 1); array_tmp8_a2[2] := att(1, array_tmp8_a1, array_tmp7, 1); array_tmp8[2] := ( array_tmp8_a1[2] - ats(2, array_tmp8_a2, array_tmp8, 2))/ array_tmp8_a2[1]; array_tmp9[2] := ats(2, array_tmp4, array_tmp8, 1); array_tmp10[2] := array_const_1D0[2] - array_tmp9[2]; array_tmp11[2] := array_const_2D0[1]*array_x[2]; array_tmp12[2] := array_tmp11[2]; array_tmp13[2] := array_tmp12[2]/(array_tmp13[1]*2.0); array_tmp14[2] := (array_tmp10[2] - ats(2, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[2] := array_tmp14[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp15[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3[3] := 0.; array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4_a1[3] := att(2, array_tmp4_a2, array_tmp3, 1); array_tmp4_a2[3] := att(2, array_tmp4_a1, array_tmp3, 1); array_tmp4[3] := ( array_tmp4_a1[3] - ats(3, array_tmp4_a2, array_tmp4, 2))/ array_tmp4_a2[1]; array_tmp7[3] := 0.; array_tmp7[3] := -ats(3, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0) ; array_tmp8_a1[3] := att(2, array_tmp8_a2, array_tmp7, 1); array_tmp8_a2[3] := att(2, array_tmp8_a1, array_tmp7, 1); array_tmp8[3] := ( array_tmp8_a1[3] - ats(3, array_tmp8_a2, array_tmp8, 2))/ array_tmp8_a2[1]; array_tmp9[3] := ats(3, array_tmp4, array_tmp8, 1); array_tmp10[3] := array_const_1D0[3] - array_tmp9[3]; array_tmp13[3] := 0.; array_tmp13[3] := -ats(3, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0); array_tmp14[3] := (array_tmp10[3] - ats(3, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[3] := array_tmp14[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp15[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := 0.; array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4_a1[4] := att(3, array_tmp4_a2, array_tmp3, 1); array_tmp4_a2[4] := att(3, array_tmp4_a1, array_tmp3, 1); array_tmp4[4] := ( array_tmp4_a1[4] - ats(4, array_tmp4_a2, array_tmp4, 2))/ array_tmp4_a2[1]; array_tmp7[4] := 0.; array_tmp7[4] := -ats(4, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0) ; array_tmp8_a1[4] := att(3, array_tmp8_a2, array_tmp7, 1); array_tmp8_a2[4] := att(3, array_tmp8_a1, array_tmp7, 1); array_tmp8[4] := ( array_tmp8_a1[4] - ats(4, array_tmp8_a2, array_tmp8, 2))/ array_tmp8_a2[1]; array_tmp9[4] := ats(4, array_tmp4, array_tmp8, 1); array_tmp10[4] := array_const_1D0[4] - array_tmp9[4]; array_tmp13[4] := 0.; array_tmp13[4] := -ats(4, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0); array_tmp14[4] := (array_tmp10[4] - ats(4, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[4] := array_tmp14[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp15[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := 0.; array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4_a1[5] := att(4, array_tmp4_a2, array_tmp3, 1); array_tmp4_a2[5] := att(4, array_tmp4_a1, array_tmp3, 1); array_tmp4[5] := ( array_tmp4_a1[5] - ats(5, array_tmp4_a2, array_tmp4, 2))/ array_tmp4_a2[1]; array_tmp7[5] := 0.; array_tmp7[5] := -ats(5, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0) ; array_tmp8_a1[5] := att(4, array_tmp8_a2, array_tmp7, 1); array_tmp8_a2[5] := att(4, array_tmp8_a1, array_tmp7, 1); array_tmp8[5] := ( array_tmp8_a1[5] - ats(5, array_tmp8_a2, array_tmp8, 2))/ array_tmp8_a2[1]; array_tmp9[5] := ats(5, array_tmp4, array_tmp8, 1); array_tmp10[5] := array_const_1D0[5] - array_tmp9[5]; array_tmp13[5] := 0.; array_tmp13[5] := -ats(5, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0); array_tmp14[5] := (array_tmp10[5] - ats(5, array_tmp13, array_tmp14, 2) )/array_tmp13[1]; array_tmp15[5] := array_tmp14[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp15[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3[kkk] := 0.; array_tmp3[kkk] := -ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0); array_tmp4_a1[kkk] := att(kkk - 1, array_tmp4_a2, array_tmp3, 1); array_tmp4_a2[kkk] := att(kkk - 1, array_tmp4_a1, array_tmp3, 1); array_tmp4[kkk] := ( array_tmp4_a1[kkk] - ats(kkk, array_tmp4_a2, array_tmp4, 2))/ array_tmp4_a2[1]; array_tmp7[kkk] := 0.; array_tmp7[kkk] := -ats(kkk, array_tmp7, array_tmp7, 2)/(array_tmp7[1]*2.0); array_tmp8_a1[kkk] := att(kkk - 1, array_tmp8_a2, array_tmp7, 1); array_tmp8_a2[kkk] := att(kkk - 1, array_tmp8_a1, array_tmp7, 1); array_tmp8[kkk] := ( array_tmp8_a1[kkk] - ats(kkk, array_tmp8_a2, array_tmp8, 2))/ array_tmp8_a2[1]; array_tmp9[kkk] := ats(kkk, array_tmp4, array_tmp8, 1); array_tmp10[kkk] := -array_tmp9[kkk]; array_tmp13[kkk] := 0.; array_tmp13[kkk] := -ats(kkk, array_tmp13, array_tmp13, 2)/(array_tmp13[1]*2.0); array_tmp14[kkk] := ( array_tmp10[kkk] - ats(kkk, array_tmp13, array_tmp14, 2))/ array_tmp13[1]; array_tmp15[kkk] := array_tmp14[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp15[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 1; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary end if; array_y_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi;# end if 0; > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " Unknown") end if; fprintf(fd, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # End Function number 14 > # Begin Function number 15 > display_pole_debug := proc(typ,radius,order2) > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if (typ = 1) then # if number 6 > omniout_str(ALWAYS,"Real"); > else > omniout_str(ALWAYS,"Complex"); > fi;# end if 6; > omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," "); > omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," "); > end; display_pole_debug := proc(typ, radius, order2) global ALWAYS, glob_display_flag, glob_large_float, array_pole; if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex") end if; omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "); omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ") end proc > # End Function number 15 > # Begin Function number 16 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 6 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # End Function number 16 > # Begin Function number 17 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 20 > # Begin Function number 21 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 21 > # Begin Function number 22 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 8 > fprintf(file,""); > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 24 > # Begin Function number 25 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 25 > # Begin Function number 26 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 8; > if (glob_max_iter < 2) then # if number 8 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 8; > if (errflag) then # if number 8 > quit; > fi;# end if 8 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > # End Function number 26 > # Begin Function number 27 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 8 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 9 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 9 > fi;# end if 8; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 27 > # Begin Function number 28 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 8 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 8; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 28 > # Begin Function number 29 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 29 > # Begin Function number 30 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 8 > if (array_fact_1[nnn] = 0) then # if number 9 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 9; > else > ret := factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8 > if (array_fact_2[mmm,nnn] = 0) then # if number 9 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 9; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 31 > # Begin Function number 32 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 33 > # Begin Function number 34 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 34 > # Begin Function number 35 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 35 > # Begin Function number 36 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 36 > # Begin Function number 37 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 37 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(tanh(sqrt(2.0*x + 1.0))); > end; exact_soln_y := proc(x) return tanh(sqrt(2.0*x + 1.0)) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > array_const_2D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4_a1, > array_tmp4_a2, > array_tmp4, > array_tmp5, > array_tmp6, > array_tmp7, > array_tmp8_g, > array_tmp8_a1, > array_tmp8_a2, > array_tmp8, > array_tmp9, > array_tmp10, > array_tmp11, > array_tmp12, > array_tmp13, > array_tmp14, > array_tmp15, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_total_exp_sec := 0.1; > glob_optimal_expect_sec := 0.1; > glob_html_log := true; > glob_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_sec_in_minute := 60; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_almost_1 := 0.9990; > glob_clock_sec := 0.0; > glob_clock_start_sec := 0.0; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_disp_incr := 0.1; > glob_h := 0.1; > glob_max_h := 0.1; > glob_large_float := 9.0e100; > glob_last_good_h := 0.1; > glob_look_poles := false; > glob_neg_h := false; > glob_display_interval := 0.0; > glob_next_display := 0.0; > glob_dump_analytic := false; > glob_abserr := 0.1e-10; > glob_relerr := 0.1e-10; > glob_max_hours := 0.0; > glob_max_iter := 1000; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_trunc_err := 0.1e-10; > glob_no_eqs := 0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_start := 0.0; > glob_small_float := 0.1e-200; > glob_smallish_float := 0.1e-100; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_max_sec := 10000.0; > glob_orig_start_sec := 0.0; > glob_start := 0; > glob_curr_iter_when_opt := 0; > glob_current_iter := 0; > glob_iter := 0; > glob_normmax := 0.0; > glob_max_minutes := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/tanh_sqrt_newpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 1.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"return(tanh(sqrt(2.0*x + 1.0)));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=32; > max_terms:=30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4_g:= Array(0..(max_terms + 1),[]); > array_tmp4_a1:= Array(0..(max_terms + 1),[]); > array_tmp4_a2:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_tmp6:= Array(0..(max_terms + 1),[]); > array_tmp7:= Array(0..(max_terms + 1),[]); > array_tmp8_g:= Array(0..(max_terms + 1),[]); > array_tmp8_a1:= Array(0..(max_terms + 1),[]); > array_tmp8_a2:= Array(0..(max_terms + 1),[]); > array_tmp8:= Array(0..(max_terms + 1),[]); > array_tmp9:= Array(0..(max_terms + 1),[]); > array_tmp10:= Array(0..(max_terms + 1),[]); > array_tmp11:= Array(0..(max_terms + 1),[]); > array_tmp12:= Array(0..(max_terms + 1),[]); > array_tmp13:= Array(0..(max_terms + 1),[]); > array_tmp14:= Array(0..(max_terms + 1),[]); > array_tmp15:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp8_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp8_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp8_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp9[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp10[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp11[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp12[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp13[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp14[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp15[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp6 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp7 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp7[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp8_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp8_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp8_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp8_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp8_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp8_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp8 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp8[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp9 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp9[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp10 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp10[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp11 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp11[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp12 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp12[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp13 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp13[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp14 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp14[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp15 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp15[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1D0[1] := 1.0; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 1.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 1000000; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(x_start,x_end); > glob_h := check_sign(x_start,x_end); > if (glob_display_interval < glob_h) then # if number 2 > glob_h := glob_display_interval; > fi;# end if 2; > if (glob_max_h < glob_h) then # if number 2 > glob_h := glob_max_h; > fi;# end if 2; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > atomall(); > est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2 > best_h := glob_h; > found_h := 1.0; > fi;# end if 2; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 2 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 2; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 2 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 3 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 3; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > display_alot(current_iter); > if (glob_look_poles) then # if number 3 > #left paren 0004C > check_for_pole(); > fi;# end if 3;#was right paren 0004C > if (reached_interval()) then # if number 3 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 3; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 3 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 3; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 3; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 3 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-28T20:08:38-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"tanh_sqrt_new") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 4; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 4 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 4; > log_revs(html_log_file," 165 ") > ; > logitem_str(html_log_file,"tanh_sqrt_new diffeq.mxt") > ; > logitem_str(html_log_file,"tanh_sqrt_new maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > ; > fi;# end if 3; > if (glob_html_log) then # if number 3 > fclose(html_log_file); > fi;# end if 3 > ; > ;; > fi;# end if 2 > #END OUTFILEMAIN > end; main := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_const_2D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4_a1, array_tmp4_a2, array_tmp4, array_tmp5, array_tmp6, array_tmp7, array_tmp8_g, array_tmp8_a1, array_tmp8_a2, array_tmp8, array_tmp9, array_tmp10, array_tmp11, array_tmp12, array_tmp13, array_tmp14, array_tmp15, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_total_exp_sec := 0.1; glob_optimal_expect_sec := 0.1; glob_html_log := true; glob_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_almost_1 := 0.9990; glob_clock_sec := 0.; glob_clock_start_sec := 0.; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_disp_incr := 0.1; glob_h := 0.1; glob_max_h := 0.1; glob_large_float := 0.90*10^101; glob_last_good_h := 0.1; glob_look_poles := false; glob_neg_h := false; glob_display_interval := 0.; glob_next_display := 0.; glob_dump_analytic := false; glob_abserr := 0.1*10^(-10); glob_relerr := 0.1*10^(-10); glob_max_hours := 0.; glob_max_iter := 1000; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_trunc_err := 0.1*10^(-10); glob_no_eqs := 0; glob_optimal_clock_start_sec := 0.; glob_optimal_start := 0.; glob_small_float := 0.1*10^(-200); glob_smallish_float := 0.1*10^(-100); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_max_sec := 10000.0; glob_orig_start_sec := 0.; glob_start := 0; glob_curr_iter_when_opt := 0; glob_current_iter := 0; glob_iter := 0; glob_normmax := 0.; glob_max_minutes := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/tanh_sqrt_newpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0\ * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0\ * x + 1.0 ) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 1.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "return(tanh(sqrt(2.0*x + 1.0)));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4_g := Array(0 .. max_terms + 1, []); array_tmp4_a1 := Array(0 .. max_terms + 1, []); array_tmp4_a2 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_tmp6 := Array(0 .. max_terms + 1, []); array_tmp7 := Array(0 .. max_terms + 1, []); array_tmp8_g := Array(0 .. max_terms + 1, []); array_tmp8_a1 := Array(0 .. max_terms + 1, []); array_tmp8_a2 := Array(0 .. max_terms + 1, []); array_tmp8 := Array(0 .. max_terms + 1, []); array_tmp9 := Array(0 .. max_terms + 1, []); array_tmp10 := Array(0 .. max_terms + 1, []); array_tmp11 := Array(0 .. max_terms + 1, []); array_tmp12 := Array(0 .. max_terms + 1, []); array_tmp13 := Array(0 .. max_terms + 1, []); array_tmp14 := Array(0 .. max_terms + 1, []); array_tmp15 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4_a2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp7[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8_a2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp8[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp9[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp10[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp11[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp12[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp13[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp14[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp15[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4_g[term] := 0.; term := term + 1 end do; array_tmp4_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4_a1[term] := 0.; term := term + 1 end do; array_tmp4_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4_a2[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1 end do; array_tmp7 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp7[term] := 0.; term := term + 1 end do; array_tmp8_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8_g[term] := 0.; term := term + 1 end do; array_tmp8_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8_a1[term] := 0.; term := term + 1 end do; array_tmp8_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8_a2[term] := 0.; term := term + 1 end do; array_tmp8 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp8[term] := 0.; term := term + 1 end do; array_tmp9 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp9[term] := 0.; term := term + 1 end do; array_tmp10 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp10[term] := 0.; term := term + 1 end do; array_tmp11 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp11[term] := 0.; term := term + 1 end do; array_tmp12 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp12[term] := 0.; term := term + 1 end do; array_tmp13 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp13[term] := 0.; term := term + 1 end do; array_tmp14 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp14[term] := 0.; term := term + 1 end do; array_tmp15 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp15[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_const_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; x_end := 1.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(x_start, x_end); glob_h := check_sign(x_start, x_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_max_h < glob_h then glob_h := glob_max_h end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); est_needed_step_err := estimated_needed_step_error(x_start, x_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do if reached_interval() then omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop") end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); display_alot(current_iter); if glob_look_poles then check_for_pole() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2\ .0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt\ ( 2.0 * x + 1.0 ) ;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T20:08:38-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "tanh_sqrt_new"); logitem_str(html_log_file, "diff ( y , x , 1 ) = ( 1.0 - ( ta\ nh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1\ .0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 165 "); logitem_str(html_log_file, "tanh_sqrt_new diffeq.mxt"); logitem_str(html_log_file, "tanh_sqrt_new maple results"); logitem_str(html_log_file, "All Tests - All Languages"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc > # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/tanh_sqrt_newpostode.ode################# diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 1.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(tanh(sqrt(2.0*x + 1.0))); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 memory used=3.8MB, alloc=2.8MB, time=0.15 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 0.9 estimated_steps = 900 step_error = 1.1111111111111111111111111111111e-13 est_needed_step_err = 1.1111111111111111111111111111111e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.4212789910658452163148110502310e-75 max_value3 = 1.4212789910658452163148110502310e-75 value3 = 1.4212789910658452163148110502310e-75 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.79885692505176302212099519039871 y[1] (numeric) = 0.79885692505176302212099519039871 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.015 Order of pole = 0.1243 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=3.8MB, time=0.28 x[1] = 0.101 y[1] (analytic) = 0.79918684886066994956419751065329 y[1] (numeric) = 0.79918684886066994956419751065327 absolute error = 2e-32 relative error = 2.5025436828086238160101711876177e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.016 Order of pole = 0.1244 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 0.79951601806046328131122773518083 y[1] (numeric) = 0.79951601806046328131122773518081 absolute error = 2e-32 relative error = 2.5015133591091483223596769990346e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.017 Order of pole = 0.1244 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=3.9MB, time=0.42 x[1] = 0.103 y[1] (analytic) = 0.7998444350317593564753200623953 y[1] (numeric) = 0.79984443503175935647532006239529 absolute error = 1e-32 relative error = 1.2502431175385912176150558591353e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.019 Order of pole = 0.1244 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 0.80017210214502406193183729659957 y[1] (numeric) = 0.80017210214502406193183729659957 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.02 Order of pole = 0.1245 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=3.9MB, time=0.56 x[1] = 0.105 y[1] (analytic) = 0.8004990217606297060114613306007 y[1] (numeric) = 0.80049902176062970601146133060069 absolute error = 1e-32 relative error = 1.2492207645683124165906900933943e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.021 Order of pole = 0.1245 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 0.80082519622891148719603804928797 y[1] (numeric) = 0.80082519622891148719603804928796 absolute error = 1e-32 relative error = 1.2487119595000298770212136627676e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.022 Order of pole = 0.1246 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.0MB, time=0.70 x[1] = 0.107 y[1] (analytic) = 0.8011506278902235613588470659497 y[1] (numeric) = 0.8011506278902235613588470659497 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.023 Order of pole = 0.1246 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 0.80147531907499471105418589612191 y[1] (numeric) = 0.80147531907499471105418589612192 absolute error = 1e-32 relative error = 1.2476990572262764459759181240884e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.024 Order of pole = 0.1246 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.0MB, time=0.85 x[1] = 0.109 y[1] (analytic) = 0.80179927210378362032472315021605 y[1] (numeric) = 0.80179927210378362032472315021604 absolute error = 1e-32 relative error = 1.2471949461567503060007197087572e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.026 Order of pole = 0.1247 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.8021224892873337584590799560613 y[1] (numeric) = 0.8021224892873337584590799560613 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.027 Order of pole = 0.1247 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.0MB, time=0.99 x[1] = 0.111 y[1] (analytic) = 0.80244497292662787609653707022607 y[1] (numeric) = 0.80244497292662787609653707022608 absolute error = 1e-32 relative error = 1.2461913697993042416284670801334e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.028 Order of pole = 0.1247 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.1MB, time=1.13 x[1] = 0.112 y[1] (analytic) = 0.80276672531294211704063105975462 y[1] (numeric) = 0.80276672531294211704063105975463 absolute error = 1e-32 relative error = 1.2456918908916790771117364764582e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.029 Order of pole = 0.1248 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 0.80308774872789974910869068219427 y[1] (numeric) = 0.80308774872789974910869068219428 absolute error = 1e-32 relative error = 1.2451939424851288375942367182143e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.03 Order of pole = 0.1248 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.1MB, time=1.27 x[1] = 0.114 y[1] (analytic) = 0.80340804544352451731006839958754 y[1] (numeric) = 0.80340804544352451731006839958754 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.031 Order of pole = 0.1249 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 0.80372761772229362261193615770792 y[1] (numeric) = 0.80372761772229362261193615770792 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.033 Order of pole = 0.1249 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.1MB, time=1.41 x[1] = 0.116 y[1] (analytic) = 0.80404646781719032951803355813126 y[1] (numeric) = 0.80404646781719032951803355813126 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.034 Order of pole = 0.1249 TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 0.80436459797175620565267484585376 y[1] (numeric) = 0.80436459797175620565267484585376 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.035 Order of pole = 0.125 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.1MB, time=1.55 x[1] = 0.118 y[1] (analytic) = 0.80468201042014299650963331094844 y[1] (numeric) = 0.80468201042014299650963331094845 absolute error = 1e-32 relative error = 1.2427269244876954389753771629639e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.036 Order of pole = 0.125 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 0.80499870738716413849322242339593 y[1] (numeric) = 0.80499870738716413849322242339594 absolute error = 1e-32 relative error = 1.2422380195438624317688173652926e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.037 Order of pole = 0.1251 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.1MB, time=1.70 x[1] = 0.12 y[1] (analytic) = 0.80531469108834591334697703089616 y[1] (numeric) = 0.80531469108834591334697703089616 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.038 Order of pole = 0.1251 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 0.8056299637299782470338000749328 y[1] (numeric) = 0.80562996372997824703380007493278 absolute error = 2e-32 relative error = 2.4825293125149164843566480242891e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.04 Order of pole = 0.1251 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.1MB, time=1.84 x[1] = 0.122 y[1] (analytic) = 0.8059445275091651561002754236566 y[1] (numeric) = 0.80594452750916515610027542365659 absolute error = 1e-32 relative error = 1.2407801850712709950346963197036e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.041 Order of pole = 0.1252 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 0.8062583846138748445270505612736 y[1] (numeric) = 0.80625838461387484452705056127357 absolute error = 3e-32 relative error = 3.7208915370681445046285243984536e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.042 Order of pole = 0.1252 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.1MB, time=1.98 x[1] = 0.124 y[1] (analytic) = 0.80657153722298945403675906823646 y[1] (numeric) = 0.80657153722298945403675906823646 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.043 Order of pole = 0.1252 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 0.80688398750635447080087720472571 y[1] (numeric) = 0.80688398750635447080087720472572 absolute error = 1e-32 relative error = 1.2393355370583862014206509656360e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.044 Order of pole = 0.1253 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.1MB, time=2.12 x[1] = 0.126 y[1] (analytic) = 0.80719573762482779145718667492013 y[1] (numeric) = 0.80719573762482779145718667492013 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.045 Order of pole = 0.1253 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.1MB, time=2.26 x[1] = 0.127 y[1] (analytic) = 0.80750678973032845132014207660783 y[1] (numeric) = 0.80750678973032845132014207660781 absolute error = 2e-32 relative error = 2.4767593603366623485721055201943e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.047 Order of pole = 0.1254 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 0.80781714596588501763741197574687 y[1] (numeric) = 0.80781714596588501763741197574687 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.048 Order of pole = 0.1254 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.1MB, time=2.41 x[1] = 0.129 y[1] (analytic) = 0.80812680846568365071717240421157 y[1] (numeric) = 0.80812680846568365071717240421155 absolute error = 2e-32 relative error = 2.4748591174660036413094119382855e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.049 Order of pole = 0.1254 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.80843577935511583572237634515325 y[1] (numeric) = 0.80843577935511583572237634515323 absolute error = 2e-32 relative error = 2.4739132669207039421653057698302e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.05 Order of pole = 0.1255 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.1MB, time=2.55 x[1] = 0.131 y[1] (analytic) = 0.80874406075082578790019799547305 y[1] (numeric) = 0.80874406075082578790019799547305 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.051 Order of pole = 0.1255 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 0.80905165476075753398715189634792 y[1] (numeric) = 0.8090516547607575339871518963479 absolute error = 2e-32 relative error = 2.4720300468224301011530030672579e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.052 Order of pole = 0.1256 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.1MB, time=2.69 x[1] = 0.133 y[1] (analytic) = 0.80935856348420167250301008318662 y[1] (numeric) = 0.8093585634842016725030100831866 absolute error = 2e-32 relative error = 2.4710926531625425014855823697271e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.053 Order of pole = 0.1256 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 0.80966478901184181561958097246813 y[1] (numeric) = 0.80966478901184181561958097246812 absolute error = 1e-32 relative error = 1.2350790272360163384650529349042e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.055 Order of pole = 0.1256 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.1MB, time=2.83 x[1] = 0.135 y[1] (analytic) = 0.80997033342580071526366758426513 y[1] (numeric) = 0.80997033342580071526366758426512 absolute error = 1e-32 relative error = 1.2346131194342161797066743881755e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.056 Order of pole = 0.1257 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 0.81027519879968607608708576747527 y[1] (numeric) = 0.81027519879968607608708576747525 absolute error = 2e-32 relative error = 2.4682971945367839111423932303248e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.057 Order of pole = 0.1257 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.1MB, time=2.97 x[1] = 0.137 y[1] (analytic) = 0.81057938719863605791049128240156 y[1] (numeric) = 0.81057938719863605791049128240156 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.058 Order of pole = 0.1258 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 0.8108829006793644702219338948203 y[1] (numeric) = 0.81088290067936447022193389482029 absolute error = 1e-32 relative error = 1.2332236863820801297399387497976e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.059 Order of pole = 0.1258 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.1MB, time=3.12 x[1] = 0.139 y[1] (analytic) = 0.8111857412902056612855230984955 y[1] (numeric) = 0.81118574129020566128552309849551 absolute error = 1e-32 relative error = 1.2327632860132401111498497181523e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.06 Order of pole = 0.1258 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.81148791107115910439034981869922 y[1] (numeric) = 0.8114879110711591043903498186992 absolute error = 2e-32 relative error = 2.4646084959663935976418807524484e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.062 Order of pole = 0.1259 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.1MB, time=3.26 x[1] = 0.141 y[1] (analytic) = 0.81178941205393368374485762419242 y[1] (numeric) = 0.81178941205393368374485762419242 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.063 Order of pole = 0.1259 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.1MB, time=3.40 x[1] = 0.142 y[1] (analytic) = 0.81209024626199168249719181197597 y[1] (numeric) = 0.81209024626199168249719181197598 absolute error = 1e-32 relative error = 1.2313902360026449575889290368657e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.064 Order of pole = 0.126 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 0.81239041571059247533767150581492 y[1] (numeric) = 0.81239041571059247533767150581492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.065 Order of pole = 0.126 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.1MB, time=3.55 x[1] = 0.144 y[1] (analytic) = 0.81268992240683592811542495830351 y[1] (numeric) = 0.81268992240683592811542495830352 absolute error = 1e-32 relative error = 1.2304816048886550290532166912312e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.066 Order of pole = 0.126 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 0.81298876834970550687739795274691 y[1] (numeric) = 0.8129887683497055068773979527469 absolute error = 1e-32 relative error = 1.2300292930613427399724366973392e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.067 Order of pole = 0.1261 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.1MB, time=3.69 x[1] = 0.146 y[1] (analytic) = 0.81328695553011109871438600366887 y[1] (numeric) = 0.81328695553011109871438600366888 absolute error = 1e-32 relative error = 1.2295783095994536041007274916114e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.069 Order of pole = 0.1261 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 0.81358448593093154677544944333854 y[1] (numeric) = 0.81358448593093154677544944333855 absolute error = 1e-32 relative error = 1.2291286489512707037988502920226e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.07 Order of pole = 0.1262 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.1MB, time=3.83 x[1] = 0.148 y[1] (analytic) = 0.81388136152705690178904299728258 y[1] (numeric) = 0.81388136152705690178904299728257 absolute error = 1e-32 relative error = 1.2286803055960579552371972126619e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.071 Order of pole = 0.1262 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 0.81417758428543039240642468535831 y[1] (numeric) = 0.81417758428543039240642468535831 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.072 Order of pole = 0.1262 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.1MB, time=3.98 x[1] = 0.15 y[1] (analytic) = 0.8144731561650901166603994769422 y[1] (numeric) = 0.81447315616509011666039947694218 absolute error = 2e-32 relative error = 2.4555750976703875807752513263077e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.073 Order of pole = 0.1263 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 0.81476807911721045681019776798432 y[1] (numeric) = 0.81476807911721045681019776798432 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.074 Order of pole = 0.1263 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.1MB, time=4.12 x[1] = 0.152 y[1] (analytic) = 0.81506235508514321982128417067296 y[1] (numeric) = 0.81506235508514321982128417067295 absolute error = 1e-32 relative error = 1.2268999957623337713371328482440e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.075 Order of pole = 0.1264 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 0.81535598600445850570713509678839 y[1] (numeric) = 0.81535598600445850570713509678839 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.077 Order of pole = 0.1264 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.1MB, time=4.26 x[1] = 0.154 y[1] (analytic) = 0.81564897380298530593851100328074 y[1] (numeric) = 0.81564897380298530593851100328073 absolute error = 1e-32 relative error = 1.2260176033048543784830481089758e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.078 Order of pole = 0.1264 TOP MAIN SOLVE Loop x[1] = 0.155 y[1] (analytic) = 0.8159413204008518341044778284357 y[1] (numeric) = 0.8159413204008518341044778284357 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.079 Order of pole = 0.1265 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.1MB, time=4.41 x[1] = 0.156 y[1] (analytic) = 0.81623302771052559098839899922624 y[1] (numeric) = 0.81623302771052559098839899922623 absolute error = 1e-32 relative error = 1.2251403288653087591728323784114e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.08 Order of pole = 0.1265 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.1MB, time=4.55 x[1] = 0.157 y[1] (analytic) = 0.81652409763685316620132139916381 y[1] (numeric) = 0.8165240976368531662013213991638 absolute error = 1e-32 relative error = 1.2247035977188602630236819841559e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.081 Order of pole = 0.1266 TOP MAIN SOLVE Loop x[1] = 0.158 y[1] (analytic) = 0.81681453207709977849461285860321 y[1] (numeric) = 0.81681453207709977849461285860321 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.082 Order of pole = 0.1266 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.1MB, time=4.69 x[1] = 0.159 y[1] (analytic) = 0.81710433292098855685337211612957 y[1] (numeric) = 0.81710433292098855685337211612958 absolute error = 1e-32 relative error = 1.2238339214592035265908796917113e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.084 Order of pole = 0.1266 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.81739350205073956445202189247954 y[1] (numeric) = 0.81739350205073956445202189247953 absolute error = 1e-32 relative error = 1.2234009659865453246968188406911e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.085 Order of pole = 0.1267 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.1MB, time=4.83 x[1] = 0.161 y[1] (analytic) = 0.81768204134110856753360885086932 y[1] (numeric) = 0.81768204134110856753360885086931 absolute error = 1e-32 relative error = 1.2229692587596340617279887243413e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.086 Order of pole = 0.1267 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 0.81796995265942555125466796375887 y[1] (numeric) = 0.81796995265942555125466796375888 absolute error = 1e-32 relative error = 1.2225387946693507408875406457758e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.087 Order of pole = 0.1268 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.1MB, time=4.98 x[1] = 0.163 y[1] (analytic) = 0.8182572378656329845180603801582 y[1] (numeric) = 0.81825723786563298451806038015818 absolute error = 2e-32 relative error = 2.4442191372689359952336507455752e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.088 Order of pole = 0.1268 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 0.81854389881232383579696054318602 y[1] (numeric) = 0.81854389881232383579696054318604 absolute error = 2e-32 relative error = 2.4433631512029155371822205722089e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.089 Order of pole = 0.1268 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.1MB, time=5.12 x[1] = 0.165 y[1] (analytic) = 0.8188299373447793419341473371318 y[1] (numeric) = 0.8188299373447793419341473371318 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.09 Order of pole = 0.1269 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 0.81911535530100653188194277734988 y[1] (numeric) = 0.81911535530100653188194277734989 absolute error = 1e-32 relative error = 1.2208292684642963577206935649584e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.092 Order of pole = 0.1269 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.1MB, time=5.26 x[1] = 0.167 y[1] (analytic) = 0.81940015451177550732953756314224 y[1] (numeric) = 0.81940015451177550732953756314225 absolute error = 1e-32 relative error = 1.2204049443898769885237227171789e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.093 Order of pole = 0.127 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 0.81968433680065648214604309857062 y[1] (numeric) = 0.81968433680065648214604309857062 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.094 Order of pole = 0.127 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.1MB, time=5.41 x[1] = 0.169 y[1] (analytic) = 0.81996790398405658254941179054556 y[1] (numeric) = 0.81996790398405658254941179054556 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.095 Order of pole = 0.1271 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.82025085787125640989336903508775 y[1] (numeric) = 0.82025085787125640989336903508776 absolute error = 1e-32 relative error = 1.2191392308875297286483270658765e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.096 Order of pole = 0.1271 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.1MB, time=5.55 x[1] = 0.171 y[1] (analytic) = 0.82053320026444636794669881419043 y[1] (numeric) = 0.82053320026444636794669881419045 absolute error = 2e-32 relative error = 2.4374394593118572019937937881349e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.097 Order of pole = 0.1271 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 0.82081493295876275652161779483684 y[1] (numeric) = 0.82081493295876275652161779483684 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.099 Order of pole = 0.1272 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.1MB, time=5.69 x[1] = 0.173 y[1] (analytic) = 0.82109605774232363329055783028108 y[1] (numeric) = 0.82109605774232363329055783028108 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.1 Order of pole = 0.1272 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.1MB, time=5.83 x[1] = 0.174 y[1] (analytic) = 0.82137657639626444561345142722181 y[1] (numeric) = 0.8213765763962644456134514272218 absolute error = 1e-32 relative error = 1.2174683680260691681719399891673e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.101 Order of pole = 0.1273 TOP MAIN SOLVE Loop x[1] = 0.175 y[1] (analytic) = 0.82165649069477343418057670970255 y[1] (numeric) = 0.82165649069477343418057670970256 absolute error = 1e-32 relative error = 1.2170536122150309824236732324718e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.102 Order of pole = 0.1273 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.1MB, time=5.98 x[1] = 0.176 y[1] (analytic) = 0.82193580240512681025916536285023 y[1] (numeric) = 0.82193580240512681025916536285023 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.103 Order of pole = 0.1273 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 0.82221451328772370831530669046557 y[1] (numeric) = 0.82221451328772370831530669046557 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.104 Order of pole = 0.1274 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.1MB, time=6.12 x[1] = 0.178 y[1] (analytic) = 0.82249262509612091576619101523729 y[1] (numeric) = 0.82249262509612091576619101523731 absolute error = 2e-32 relative error = 2.4316327453589863297668317313599e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.105 Order of pole = 0.1274 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 0.82277013957706738160142396537701 y[1] (numeric) = 0.82277013957706738160142396537703 absolute error = 2e-32 relative error = 2.4308125730329371534423939434725e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.107 Order of pole = 0.1275 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.1MB, time=6.26 x[1] = 0.18 y[1] (analytic) = 0.82304705847053850559600753389265 y[1] (numeric) = 0.82304705847053850559600753389266 absolute error = 1e-32 relative error = 1.2149973561150824984183454736780e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.108 Order of pole = 0.1275 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 0.82332338350977020982162200389812 y[1] (numeric) = 0.82332338350977020982162200389811 absolute error = 1e-32 relative error = 1.2145895768647668987126200583685e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.109 Order of pole = 0.1275 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.1MB, time=6.41 x[1] = 0.182 y[1] (analytic) = 0.82359911642129279414705277244102 y[1] (numeric) = 0.82359911642129279414705277244103 absolute error = 1e-32 relative error = 1.2141829441794513471053117745196e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.11 Order of pole = 0.1276 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 0.82387425892496457740298567278845 y[1] (numeric) = 0.82387425892496457740298567278847 absolute error = 2e-32 relative error = 2.4275549069947973800256944704268e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.111 Order of pole = 0.1276 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.1MB, time=6.55 x[1] = 0.184 y[1] (analytic) = 0.82414881273400532587094151629012 y[1] (numeric) = 0.8241488127340053258709415162901 absolute error = 2e-32 relative error = 2.4267462005620841254702412205116e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.112 Order of pole = 0.1277 TOP MAIN SOLVE Loop x[1] = 0.185 y[1] (analytic) = 0.82442277955502947074083320362817 y[1] (numeric) = 0.82442277955502947074083320362815 absolute error = 2e-32 relative error = 2.4259397600336464489409520610083e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.114 Order of pole = 0.1277 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.1MB, time=6.69 x[1] = 0.186 y[1] (analytic) = 0.82469616108807911616650487325906 y[1] (numeric) = 0.82469616108807911616650487325905 absolute error = 1e-32 relative error = 1.2125677882150322037476373067385e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.115 Order of pole = 0.1278 TOP MAIN SOLVE Loop x[1] = 0.187 y[1] (analytic) = 0.82496895902665683953365017153353 y[1] (numeric) = 0.82496895902665683953365017153354 absolute error = 1e-32 relative error = 1.2121668204096482417835130462567e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.116 Order of pole = 0.1278 memory used=183.1MB, alloc=4.1MB, time=6.84 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 0.82524117505775828553970388089679 y[1] (numeric) = 0.82524117505775828553970388089678 absolute error = 1e-32 relative error = 1.2117669721581820214127164947981e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.117 Order of pole = 0.1278 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.1MB, time=6.98 x[1] = 0.189 y[1] (analytic) = 0.82551281086190455567065589302029 y[1] (numeric) = 0.82551281086190455567065589302028 absolute error = 1e-32 relative error = 1.2113682390415191693698545340193e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.118 Order of pole = 0.1279 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 0.82578386811317439464524695235881 y[1] (numeric) = 0.8257838681131743946452469523588 absolute error = 1e-32 relative error = 1.2109706166637650198391826568389e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.119 Order of pole = 0.1279 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.1MB, time=7.12 x[1] = 0.191 y[1] (analytic) = 0.82605434847923617538266983806846 y[1] (numeric) = 0.82605434847923617538266983806846 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.12 Order of pole = 0.128 TOP MAIN SOLVE Loop x[1] = 0.192 y[1] (analytic) = 0.82632425362137968403571583964331 y[1] (numeric) = 0.82632425362137968403571583964332 absolute error = 1e-32 relative error = 1.2101786866565800169713483462542e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.122 Order of pole = 0.128 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.1MB, time=7.26 x[1] = 0.193 y[1] (analytic) = 0.82659358519454770661727268038371 y[1] (numeric) = 0.82659358519454770661727268038371 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.123 Order of pole = 0.128 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 0.82686234484736741873419464406178 y[1] (numeric) = 0.82686234484736741873419464406176 absolute error = 2e-32 relative error = 2.4187822948560863358506339647393e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.124 Order of pole = 0.1281 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.1MB, time=7.41 x[1] = 0.195 y[1] (analytic) = 0.82713053422218157992882677949075 y[1] (numeric) = 0.82713053422218157992882677949076 absolute error = 1e-32 relative error = 1.2089990136083921779438192980986e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.125 Order of pole = 0.1281 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 0.82739815495507953411487093479482 y[1] (numeric) = 0.82739815495507953411487093479482 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.126 Order of pole = 0.1282 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.1MB, time=7.55 x[1] = 0.197 y[1] (analytic) = 0.82766520867592801758083027138148 y[1] (numeric) = 0.82766520867592801758083027138147 absolute error = 1e-32 relative error = 1.2082179962593421046435237940174e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.127 Order of pole = 0.1282 TOP MAIN SOLVE Loop x[1] = 0.198 y[1] (analytic) = 0.82793169700840177602095911366337 y[1] (numeric) = 0.82793169700840177602095911366336 absolute error = 1e-32 relative error = 1.2078291042767651042043277998902e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.128 Order of pole = 0.1283 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.1MB, time=7.70 x[1] = 0.199 y[1] (analytic) = 0.82819762157001399204047481418375 y[1] (numeric) = 0.82819762157001399204047481418375 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.13 Order of pole = 0.1283 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 0.82846298397214652456875608736621 y[1] (numeric) = 0.82846298397214652456875608736621 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.131 Order of pole = 0.1283 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.1MB, time=7.84 x[1] = 0.201 y[1] (analytic) = 0.82872778582007996160135634335106 y[1] (numeric) = 0.82872778582007996160135634335107 absolute error = 1e-32 relative error = 1.2066688448371922995925161643201e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.132 Order of pole = 0.1284 TOP MAIN SOLVE Loop x[1] = 0.202 y[1] (analytic) = 0.82899202871302348767889931301712 y[1] (numeric) = 0.82899202871302348767889931301711 absolute error = 1e-32 relative error = 1.2062842166919981776739864238377e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.133 Order of pole = 0.1284 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.1MB, time=7.98 x[1] = 0.203 y[1] (analytic) = 0.82925571424414456749829609470404 y[1] (numeric) = 0.82925571424414456749829609470405 absolute error = 1e-32 relative error = 1.2059006441836660154504069061952e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.134 Order of pole = 0.1285 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.1MB, time=8.12 x[1] = 0.204 y[1] (analytic) = 0.82951884400059844703922609208884 y[1] (numeric) = 0.82951884400059844703922609208884 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.135 Order of pole = 0.1285 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 0.82978141956355747357645759190148 y[1] (numeric) = 0.82978141956355747357645759190148 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.136 Order of pole = 0.1286 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.1MB, time=8.27 x[1] = 0.206 y[1] (analytic) = 0.83004344250824023593634541119424 y[1] (numeric) = 0.83004344250824023593634541119425 absolute error = 1e-32 relative error = 1.2047562197204786959132246422032e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.138 Order of pole = 0.1286 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 0.83030491440394052634373160862402 y[1] (numeric) = 0.83030491440394052634373160862402 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.139 Order of pole = 0.1286 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.1MB, time=8.41 x[1] = 0.208 y[1] (analytic) = 0.83056583681405612519348920471233 y[1] (numeric) = 0.83056583681405612519348920471233 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.14 Order of pole = 0.1287 TOP MAIN SOLVE Loop x[1] = 0.209 y[1] (analytic) = 0.83082621129611741006908671417984 y[1] (numeric) = 0.83082621129611741006908671417985 absolute error = 1e-32 relative error = 1.2036211501319459724153464027009e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.141 Order of pole = 0.1287 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.2MB, time=8.55 x[1] = 0.21 y[1] (analytic) = 0.831086039401815790318811600614 y[1] (numeric) = 0.83108603940181579031881160061398 absolute error = 2e-32 relative error = 2.4064897076595392504514160771311e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.142 Order of pole = 0.1288 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 0.83134532267703196848867208057126 y[1] (numeric) = 0.83134532267703196848867208057124 absolute error = 2e-32 relative error = 2.4057391621086642493999412337081e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.143 Order of pole = 0.1288 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.2MB, time=8.69 x[1] = 0.212 y[1] (analytic) = 0.83160406266186402989949761036076 y[1] (numeric) = 0.83160406266186402989949761036074 absolute error = 2e-32 relative error = 2.4049906557674115746480631554436e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.144 Order of pole = 0.1288 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 0.83186226089065536164437748251061 y[1] (numeric) = 0.83186226089065536164437748251061 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.146 Order of pole = 0.1289 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.2MB, time=8.83 x[1] = 0.214 y[1] (analytic) = 0.8321199188920224022713128570165 y[1] (numeric) = 0.8321199188920224022713128570165 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.147 Order of pole = 0.1289 TOP MAIN SOLVE Loop x[1] = 0.215 y[1] (analytic) = 0.83237703818888222340480888978964 y[1] (numeric) = 0.83237703818888222340480888978962 absolute error = 2e-32 relative error = 2.4027572941604401393600836393281e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.148 Order of pole = 0.129 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.2MB, time=8.98 x[1] = 0.216 y[1] (analytic) = 0.83263362029847994454909905002843 y[1] (numeric) = 0.83263362029847994454909905002842 absolute error = 1e-32 relative error = 1.2010084335070724977017006439966e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.149 Order of pole = 0.129 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 0.83288966673241598230477190992877 y[1] (numeric) = 0.83288966673241598230477190992877 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.15 Order of pole = 0.1291 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.2MB, time=9.12 x[1] = 0.218 y[1] (analytic) = 0.83314517899667313521976033198781 y[1] (numeric) = 0.83314517899667313521976033198782 absolute error = 1e-32 relative error = 1.2002710034333561682027873299122e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.151 Order of pole = 0.1291 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.2MB, time=9.26 x[1] = 0.219 y[1] (analytic) = 0.83340015859164350548495277603628 y[1] (numeric) = 0.83340015859164350548495277603627 absolute error = 1e-32 relative error = 1.1999037793439975826645739617336e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.152 Order of pole = 0.1291 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 0.83365460701215525867409512181231 y[1] (numeric) = 0.83365460701215525867409512181232 absolute error = 1e-32 relative error = 1.1995375441923507667499199315681e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.154 Order of pole = 0.1292 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.2MB, time=9.41 x[1] = 0.221 y[1] (analytic) = 0.83390852574749922271716769176101 y[1] (numeric) = 0.83390852574749922271716769176101 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.155 Order of pole = 0.1292 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 0.83416191628145532728604481758594 y[1] (numeric) = 0.83416191628145532728604481758595 absolute error = 1e-32 relative error = 1.1988080257341658531961235109597e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.156 Order of pole = 0.1293 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.2MB, time=9.55 x[1] = 0.223 y[1] (analytic) = 0.83441478009231888476097209383404 y[1] (numeric) = 0.83441478009231888476097209383404 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.157 Order of pole = 0.1293 TOP MAIN SOLVE Loop x[1] = 0.224 y[1] (analytic) = 0.83466711865292671393622818931692 y[1] (numeric) = 0.83466711865292671393622818931692 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.158 Order of pole = 0.1294 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.2MB, time=9.69 x[1] = 0.225 y[1] (analytic) = 0.83491893343068310761327254501921 y[1] (numeric) = 0.83491893343068310761327254501918 absolute error = 3e-32 relative error = 3.5931632160657749749975922120084e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.159 Order of pole = 0.1294 TOP MAIN SOLVE Loop x[1] = 0.226 y[1] (analytic) = 0.83517022588758564521971629333599 y[1] (numeric) = 0.83517022588758564521971629333597 absolute error = 2e-32 relative error = 2.3947213849421890901637860741780e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.16 Order of pole = 0.1294 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.2MB, time=9.83 x[1] = 0.227 y[1] (analytic) = 0.83542099748025085158259012129298 y[1] (numeric) = 0.83542099748025085158259012129296 absolute error = 2e-32 relative error = 2.3940025520453590367316591335773e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.162 Order of pole = 0.1295 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 0.83567124965993970297461841813108 y[1] (numeric) = 0.83567124965993970297461841813105 absolute error = 3e-32 relative error = 3.5899284571783367412100572291093e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.163 Order of pole = 0.1295 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.2MB, time=9.98 x[1] = 0.229 y[1] (analytic) = 0.83592098387258298154254275840415 y[1] (numeric) = 0.83592098387258298154254275840414 absolute error = 1e-32 relative error = 1.1962853179821923317595794505633e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.164 Order of pole = 0.1296 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 0.83617020155880647921696845326333 y[1] (numeric) = 0.83617020155880647921696845326331 absolute error = 2e-32 relative error = 2.3918575384192799166342897856188e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.165 Order of pole = 0.1296 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.2MB, time=10.12 x[1] = 0.231 y[1] (analytic) = 0.83641890415395605219373444700401 y[1] (numeric) = 0.83641890415395605219373444700399 absolute error = 2e-32 relative error = 2.3911463383566334956115591637052e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.166 Order of pole = 0.1297 TOP MAIN SOLVE Loop x[1] = 0.232 y[1] (analytic) = 0.83666709308812252706742814954592 y[1] (numeric) = 0.83666709308812252706742814954589 absolute error = 3e-32 relative error = 3.5856555430273423844997561542776e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.167 Order of pole = 0.1297 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.2MB, time=10.26 x[1] = 0.233 y[1] (analytic) = 0.83691476978616645968838179860259 y[1] (numeric) = 0.83691476978616645968838179860257 absolute error = 2e-32 relative error = 2.3897296023476851068806935474676e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.168 Order of pole = 0.1297 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.2MB, time=10.41 x[1] = 0.234 y[1] (analytic) = 0.83716193566774274780529457197329 y[1] (numeric) = 0.83716193566774274780529457197326 absolute error = 3e-32 relative error = 3.5835360784853646888433512339524e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.17 Order of pole = 0.1298 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 0.83740859214732509854652386834956 y[1] (numeric) = 0.83740859214732509854652386834954 absolute error = 2e-32 relative error = 2.3883203716258746792145971977201e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.171 Order of pole = 0.1298 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.2MB, time=10.55 x[1] = 0.236 y[1] (analytic) = 0.83765474063423035178407890537226 y[1] (numeric) = 0.83765474063423035178407890537225 absolute error = 1e-32 relative error = 1.1938092766512010933125167478392e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.172 Order of pole = 0.1299 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 0.83790038253264266041542902071656 y[1] (numeric) = 0.83790038253264266041542902071655 absolute error = 1e-32 relative error = 1.1934592952176415953677802183402e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.173 Order of pole = 0.1299 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.2MB, time=10.69 x[1] = 0.238 y[1] (analytic) = 0.83814551924163752858940679307248 y[1] (numeric) = 0.83814551924163752858940679307245 absolute error = 3e-32 relative error = 3.5793307142110955701642002796948e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.174 Order of pole = 0.13 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 0.83839015215520570889374132521757 y[1] (numeric) = 0.83839015215520570889374132521755 absolute error = 2e-32 relative error = 2.3855242035688332189545107520324e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.175 Order of pole = 0.13 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.2MB, time=10.84 x[1] = 0.24 y[1] (analytic) = 0.83863428266227695951309876381015 y[1] (numeric) = 0.83863428266227695951309876381012 absolute error = 3e-32 relative error = 3.5772446488550217537157556288598e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.176 Order of pole = 0.13 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 0.838877912146743662357934395412 y[1] (numeric) = 0.83887791214674366235793439541195 absolute error = 5e-32 relative error = 5.9603428909037212262178500758211e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.178 Order of pole = 0.1301 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.2MB, time=10.98 x[1] = 0.242 y[1] (analytic) = 0.83912104198748430315597249324664 y[1] (numeric) = 0.83912104198748430315597249324661 absolute error = 3e-32 relative error = 3.5751695522905809079716373716534e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.179 Order of pole = 0.1301 TOP MAIN SOLVE Loop x[1] = 0.243 y[1] (analytic) = 0.83936367355838681448972554411377 y[1] (numeric) = 0.83936367355838681448972554411374 absolute error = 3e-32 relative error = 3.5741360920253330203643656437654e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.18 Order of pole = 0.1302 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.2MB, time=11.13 x[1] = 0.244 y[1] (analytic) = 0.83960580822837178275514262149166 y[1] (numeric) = 0.83960580822837178275514262149162 absolute error = 4e-32 relative error = 4.7641404582946914896083461925585e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.181 Order of pole = 0.1302 TOP MAIN SOLVE Loop x[1] = 0.245 y[1] (analytic) = 0.8398474473614155200082365627499 y[1] (numeric) = 0.83984744736141552000823656274987 absolute error = 3e-32 relative error = 3.5720772974011265001203910054461e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.182 Order of pole = 0.1303 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.2MB, time=11.27 x[1] = 0.246 y[1] (analytic) = 0.84008859231657300165838034078462 y[1] (numeric) = 0.84008859231657300165838034078459 absolute error = 3e-32 relative error = 3.5710519431378034559513144872210e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.183 Order of pole = 0.1303 TOP MAIN SOLVE Loop x[1] = 0.247 y[1] (analytic) = 0.84032924444800067095888368998031 y[1] (numeric) = 0.84032924444800067095888368998028 absolute error = 3e-32 relative error = 3.5700292710515552297333220165474e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.184 Order of pole = 0.1303 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.2MB, time=11.41 x[1] = 0.248 y[1] (analytic) = 0.84056940510497911123746076121579 y[1] (numeric) = 0.84056940510497911123746076121575 absolute error = 4e-32 relative error = 4.7586790284145996307499343815327e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.186 Order of pole = 0.1304 TOP MAIN SOLVE Loop x[1] = 0.249 y[1] (analytic) = 0.84080907563193558680127745984722 y[1] (numeric) = 0.84080907563193558680127745984719 absolute error = 3e-32 relative error = 3.5679919341323223984016418113568e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.187 Order of pole = 0.1304 memory used=309.0MB, alloc=4.2MB, time=11.55 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 0.84104825736846645344342229440905 y[1] (numeric) = 0.84104825736846645344342229440903 absolute error = 2e-32 relative error = 2.3779848331863225800295398983525e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.188 Order of pole = 0.1305 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.2MB, time=11.69 x[1] = 0.251 y[1] (analytic) = 0.84128695164935943946987617321537 y[1] (numeric) = 0.84128695164935943946987617321533 absolute error = 4e-32 relative error = 4.7546202780845728835402975083481e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.189 Order of pole = 0.1305 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 0.84152515980461579815836378287038 y[1] (numeric) = 0.84152515980461579815836378287034 absolute error = 4e-32 relative error = 4.7532744011227361579987070061035e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.19 Order of pole = 0.1306 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.2MB, time=11.84 x[1] = 0.253 y[1] (analytic) = 0.84176288315947233255285112921089 y[1] (numeric) = 0.84176288315947233255285112921086 absolute error = 3e-32 relative error = 3.5639490170198544346560394543975e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.191 Order of pole = 0.1306 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 0.84200012303442329348990969012268 y[1] (numeric) = 0.84200012303442329348990969012265 absolute error = 3e-32 relative error = 3.5629448475476668117119801509670e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.192 Order of pole = 0.1306 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.2MB, time=11.98 x[1] = 0.255 y[1] (analytic) = 0.84223688074524215174569660398302 y[1] (numeric) = 0.84223688074524215174569660398299 absolute error = 3e-32 relative error = 3.5619432829223646955934847671288e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.194 Order of pole = 0.1307 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 0.84247315760300324518490159029361 y[1] (numeric) = 0.84247315760300324518490159029359 absolute error = 2e-32 relative error = 2.3739628757910593962692982644551e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.195 Order of pole = 0.1307 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.2MB, time=12.12 x[1] = 0.257 y[1] (analytic) = 0.84270895491410330178568407348232 y[1] (numeric) = 0.84270895491410330178568407348229 absolute error = 3e-32 relative error = 3.5599479304284689522952710847390e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.196 Order of pole = 0.1308 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 0.84294427398028283940736746981951 y[1] (numeric) = 0.84294427398028283940736746981946 absolute error = 5e-32 relative error = 5.9315902063022426043163888171128e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.197 Order of pole = 0.1308 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.2MB, time=12.27 x[1] = 0.259 y[1] (analytic) = 0.84317911609864744316047102358284 y[1] (numeric) = 0.8431791160986474431604710235828 absolute error = 4e-32 relative error = 4.7439505125646653367250734870001e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.198 Order of pole = 0.1309 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = 0.84341348256168892123154217426275 y[1] (numeric) = 0.84341348256168892123154217426273 absolute error = 2e-32 relative error = 2.3713161353852510482118528970400e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.199 Order of pole = 0.1309 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.2MB, time=12.41 x[1] = 0.261 y[1] (analytic) = 0.84364737465730634000820344343267 y[1] (numeric) = 0.84364737465730634000820344343263 absolute error = 4e-32 relative error = 4.7413174273490976278580268616096e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.2 Order of pole = 0.131 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 0.84388079366882693934284649894065 y[1] (numeric) = 0.84388079366882693934284649894061 absolute error = 4e-32 relative error = 4.7400059700490852557954239122340e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.201 Order of pole = 0.131 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.2MB, time=12.55 x[1] = 0.263 y[1] (analytic) = 0.84411374087502692878649164553446 y[1] (numeric) = 0.84411374087502692878649164553441 absolute error = 5e-32 relative error = 5.9233723583469802034224012054262e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.203 Order of pole = 0.131 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 0.8443462175501521656174827742043 y[1] (numeric) = 0.84434621755015216561748277420425 absolute error = 5e-32 relative error = 5.9217414563748097109654866179692e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.204 Order of pole = 0.1311 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.2MB, time=12.70 x[1] = 0.265 y[1] (analytic) = 0.84457822496393871548290505566117 y[1] (numeric) = 0.84457822496393871548290505566114 absolute error = 3e-32 relative error = 3.5520688449291860031571382011477e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.205 Order of pole = 0.1311 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.2MB, time=12.84 x[1] = 0.266 y[1] (analytic) = 0.84480976438163329646389467353151 y[1] (numeric) = 0.84480976438163329646389467353147 absolute error = 4e-32 relative error = 4.7347937590752621197775742090738e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.206 Order of pole = 0.1312 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 0.84504083706401360736935595581839 y[1] (numeric) = 0.84504083706401360736935595581835 absolute error = 4e-32 relative error = 4.7334990506464620126857824488339e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.207 Order of pole = 0.1312 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.2MB, time=12.98 x[1] = 0.268 y[1] (analytic) = 0.84527144426740854105601068332365 y[1] (numeric) = 0.84527144426740854105601068332361 absolute error = 4e-32 relative error = 4.7322076560468393804185234834176e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.208 Order of pole = 0.1313 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 0.84550158724371828356617644388077 y[1] (numeric) = 0.84550158724371828356617644388073 absolute error = 4e-32 relative error = 4.7309195634271333476656079300627e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.209 Order of pole = 0.1313 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.2MB, time=13.12 x[1] = 0.27 y[1] (analytic) = 0.84573126724043429986820498261792 y[1] (numeric) = 0.8457312672404342998682049826179 absolute error = 2e-32 relative error = 2.3648173804970802726677740298862e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.211 Order of pole = 0.1313 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 0.84596048550065920697810690049751 y[1] (numeric) = 0.84596048550065920697810690049747 absolute error = 4e-32 relative error = 4.7283532370104809541381449545050e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.212 Order of pole = 0.1314 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.2MB, time=13.27 x[1] = 0.272 y[1] (analytic) = 0.84618924326312653523454511364373 y[1] (numeric) = 0.84618924326312653523454511364371 absolute error = 2e-32 relative error = 2.3635374898970330793799041591850e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.213 Order of pole = 0.1314 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 0.84641754176222037849309555008328 y[1] (numeric) = 0.84641754176222037849309555008325 absolute error = 3e-32 relative error = 3.5443499832884774941424090792478e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.214 Order of pole = 0.1315 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.2MB, time=13.41 x[1] = 0.274 y[1] (analytic) = 0.84664538222799493399944898200715 y[1] (numeric) = 0.84664538222799493399944898200712 absolute error = 3e-32 relative error = 3.5433961644075011624666383621766e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.215 Order of pole = 0.1315 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 0.84687276588619393269506203185758 y[1] (numeric) = 0.84687276588619393269506203185756 absolute error = 2e-32 relative error = 2.3616298463762002771099149536244e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.216 Order of pole = 0.1316 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.2MB, time=13.55 x[1] = 0.276 y[1] (analytic) = 0.84709969395826996070265761849385 y[1] (numeric) = 0.84709969395826996070265761849382 absolute error = 3e-32 relative error = 3.5414957901611362859196084491045e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.217 Order of pole = 0.1316 TOP MAIN SOLVE Loop x[1] = 0.277 y[1] (analytic) = 0.84732616766140367273292480204797 y[1] (numeric) = 0.84732616766140367273292480204794 absolute error = 3e-32 relative error = 3.5405492176406110493231307716401e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.219 Order of pole = 0.1316 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.2MB, time=13.70 x[1] = 0.278 y[1] (analytic) = 0.84755218820852289814777452699912 y[1] (numeric) = 0.8475521882085228981477745269991 absolute error = 2e-32 relative error = 2.3597366956569532982622175831756e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.22 Order of pole = 0.1317 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 0.84777775680832164040957054402922 y[1] (numeric) = 0.84777775680832164040957054402918 absolute error = 4e-32 relative error = 4.7182176789575528163958980252430e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.221 Order of pole = 0.1317 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.2MB, time=13.84 x[1] = 0.28 y[1] (analytic) = 0.84800287466527897063987321123506 y[1] (numeric) = 0.84800287466527897063987321123502 absolute error = 4e-32 relative error = 4.7169651418680242419483560898529e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.222 Order of pole = 0.1318 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.2MB, time=13.98 x[1] = 0.281 y[1] (analytic) = 0.84822754297967781600540734033223 y[1] (numeric) = 0.8482275429796778160054073403322 absolute error = 3e-32 relative error = 3.5367868266355920873941015061978e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.223 Order of pole = 0.1318 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 0.84845176294762364364319317677218 y[1] (numeric) = 0.84845176294762364364319317677214 absolute error = 4e-32 relative error = 4.7144695487502060115569057377614e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.224 Order of pole = 0.1319 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.2MB, time=14.13 x[1] = 0.283 y[1] (analytic) = 0.84867553576106304083106140440635 y[1] (numeric) = 0.84867553576106304083106140440633 absolute error = 2e-32 relative error = 2.3566132352412736454392441523696e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.225 Order of pole = 0.1319 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 0.84889886260780219210410817259016 y[1] (numeric) = 0.84889886260780219210410817259014 absolute error = 2e-32 relative error = 2.3559932615011823765138631884201e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.226 Order of pole = 0.1319 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.2MB, time=14.27 x[1] = 0.285 y[1] (analytic) = 0.84912174467152525401203399037977 y[1] (numeric) = 0.84912174467152525401203399037974 absolute error = 3e-32 relative error = 3.5330622714891393249940398642715e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.228 Order of pole = 0.132 TOP MAIN SOLVE Loop x[1] = 0.286 y[1] (analytic) = 0.84934418313181262820675035943521 y[1] (numeric) = 0.84934418313181262820675035943518 absolute error = 3e-32 relative error = 3.5321369823691601607962749094066e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.229 Order of pole = 0.132 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.2MB, time=14.42 x[1] = 0.287 y[1] (analytic) = 0.84956617916415913354412967175235 y[1] (numeric) = 0.84956617916415913354412967175232 absolute error = 3e-32 relative error = 3.5312140167250219204589294018066e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.23 Order of pole = 0.1321 TOP MAIN SOLVE Loop x[1] = 0.288 y[1] (analytic) = 0.84978773393999207787831663432236 y[1] (numeric) = 0.84978773393999207787831663432233 absolute error = 3e-32 relative error = 3.5302933664277220191075270806588e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.231 Order of pole = 0.1321 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.2MB, time=14.56 x[1] = 0.289 y[1] (analytic) = 0.85000884862668923022161276065538 y[1] (numeric) = 0.85000884862668923022161276065535 absolute error = 3e-32 relative error = 3.5293750233858491358091553299489e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.232 Order of pole = 0.1322 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 0.85022952438759669393758875559585 y[1] (numeric) = 0.85022952438759669393758875559581 absolute error = 4e-32 relative error = 4.7046119727271526189812224969337e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.233 Order of pole = 0.1322 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.2MB, time=14.71 x[1] = 0.291 y[1] (analytic) = 0.85044976238204668162977238809996 y[1] (numeric) = 0.85044976238204668162977238809992 absolute error = 4e-32 relative error = 4.7033936358525126720230153770308e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.234 Order of pole = 0.1323 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 0.85066956376537519238300117597021 y[1] (numeric) = 0.85066956376537519238300117597019 absolute error = 2e-32 relative error = 2.3510891716253102533512031806861e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.235 Order of pole = 0.1323 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.2MB, time=14.85 x[1] = 0.293 y[1] (analytic) = 0.85088892968893959200931938242064 y[1] (numeric) = 0.85088892968893959200931938242061 absolute error = 3e-32 relative error = 3.5257245632478886769706270376350e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.237 Order of pole = 0.1323 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 0.85110786130013609694513693831924 y[1] (numeric) = 0.85110786130013609694513693831921 absolute error = 3e-32 relative error = 3.5248176364124487767641295811384e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.238 Order of pole = 0.1324 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.2MB, time=14.99 x[1] = 0.295 y[1] (analytic) = 0.851326359742417162441253453548 y[1] (numeric) = 0.85132635974241716244125345354798 absolute error = 2e-32 relative error = 2.3492753127074944575355425869511e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.239 Order of pole = 0.1324 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 0.85154442615530877568228296956816 y[1] (numeric) = 0.85154442615530877568228296956813 absolute error = 3e-32 relative error = 3.5230105533599553433538687732572e-30 % Correct digits = 31 h = 0.001 memory used=404.3MB, alloc=4.2MB, time=15.13 Complex estimate of poles used for equation 1 Radius of convergence = 1.24 Order of pole = 0.1325 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 0.85176206167442765446699404224637 y[1] (numeric) = 0.85176206167442765446699404224636 absolute error = 1e-32 relative error = 1.1740367938367204627992356319810e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.241 Order of pole = 0.1325 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.2MB, time=15.27 x[1] = 0.298 y[1] (analytic) = 0.85197926743149835207610464430703 y[1] (numeric) = 0.85197926743149835207610464430702 absolute error = 1e-32 relative error = 1.1737374819163694634638684243019e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.242 Order of pole = 0.1326 TOP MAIN SOLVE Loop x[1] = 0.299 y[1] (analytic) = 0.85219604455437026894914176112709 y[1] (numeric) = 0.85219604455437026894914176112705 absolute error = 4e-32 relative error = 4.6937556511326886860085182049502e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.243 Order of pole = 0.1326 TOP MAIN SOLVE Loop memory used=412.0MB, alloc=4.2MB, time=15.42 x[1] = 0.3 y[1] (analytic) = 0.85241239416703457178709094829414 y[1] (numeric) = 0.85241239416703457178709094829411 absolute error = 3e-32 relative error = 3.5194232516193736200276631448468e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.245 Order of pole = 0.1326 TOP MAIN SOLVE Loop x[1] = 0.301 y[1] (analytic) = 0.85262831738964102069272105624676 y[1] (numeric) = 0.85262831738964102069272105624675 absolute error = 1e-32 relative error = 1.1728439926339109255701587623692e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.246 Order of pole = 0.1327 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.2MB, time=15.56 x[1] = 0.302 y[1] (analytic) = 0.85284381533851470495567334371406 y[1] (numeric) = 0.85284381533851470495567334371402 absolute error = 4e-32 relative error = 4.6901905460993482506539496806811e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.247 Order of pole = 0.1327 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 0.85305888912617268808465184026849 y[1] (numeric) = 0.85305888912617268808465184026847 absolute error = 2e-32 relative error = 2.3445040260335270063753609619375e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.248 Order of pole = 0.1328 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.2MB, time=15.70 x[1] = 0.304 y[1] (analytic) = 0.85327353986134056268434262712114 y[1] (numeric) = 0.85327353986134056268434262712113 absolute error = 1e-32 relative error = 1.1719571195920395173166986692802e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.249 Order of pole = 0.1328 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 0.85348776864896891577002323759382 y[1] (numeric) = 0.85348776864896891577002323759381 absolute error = 1e-32 relative error = 1.1716629537444374519267504470277e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.25 Order of pole = 0.1329 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.2MB, time=15.85 x[1] = 0.306 y[1] (analytic) = 0.8537015765902497051081991929624 y[1] (numeric) = 0.85370157659024970510819919296238 absolute error = 2e-32 relative error = 2.3427390259581750857429802160418e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.251 Order of pole = 0.1329 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 0.85391496478263254716702234915462 y[1] (numeric) = 0.85391496478263254716702234915458 absolute error = 4e-32 relative error = 4.6843071792496527096708364531304e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.252 Order of pole = 0.1329 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.2MB, time=15.99 x[1] = 0.308 y[1] (analytic) = 0.85412793431984091725570480374001 y[1] (numeric) = 0.85412793431984091725570480373998 absolute error = 3e-32 relative error = 3.5123543903161998095640843926697e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.254 Order of pole = 0.133 TOP MAIN SOLVE Loop x[1] = 0.309 y[1] (analytic) = 0.85434048629188826242764217438984 y[1] (numeric) = 0.85434048629188826242764217438981 absolute error = 3e-32 relative error = 3.5114805491905952399735560129772e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.255 Order of pole = 0.133 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.2MB, time=16.14 x[1] = 0.31 y[1] (analytic) = 0.8545526217850940277175006880574 y[1] (numeric) = 0.85455262178509402771750068805738 absolute error = 2e-32 relative error = 2.3404059024734549419084903300480e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.256 Order of pole = 0.1331 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 0.85476434188209959627810329794374 y[1] (numeric) = 0.85476434188209959627810329794371 absolute error = 3e-32 relative error = 3.5097392965578338082132751649784e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.257 Order of pole = 0.1331 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.2MB, time=16.28 x[1] = 0.312 y[1] (analytic) = 0.85497564766188414397857056107686 y[1] (numeric) = 0.85497564766188414397857056107685 absolute error = 1e-32 relative error = 1.1696239568164500579812601064647e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.258 Order of pole = 0.1332 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.2MB, time=16.42 x[1] = 0.313 y[1] (analytic) = 0.85518654019978040902083185599269 y[1] (numeric) = 0.85518654019978040902083185599267 absolute error = 2e-32 relative error = 2.3386710454221827929850017114537e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.259 Order of pole = 0.1332 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 0.8553970205674903771273212951854 y[1] (numeric) = 0.85539702056749037712732129518537 absolute error = 3e-32 relative error = 3.5071433823907054051784157378436e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.26 Order of pole = 0.1332 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.2MB, time=16.57 x[1] = 0.315 y[1] (analytic) = 0.85560708983310088284840999293966 y[1] (numeric) = 0.85560708983310088284840999293963 absolute error = 3e-32 relative error = 3.5062823060351164473888383341807e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.261 Order of pole = 0.1333 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 0.85581674906109912753390179266688 y[1] (numeric) = 0.85581674906109912753390179266687 absolute error = 1e-32 relative error = 1.1684744439707234929655808602316e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.263 Order of pole = 0.1333 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.2MB, time=16.71 x[1] = 0.317 y[1] (analytic) = 0.85602599931238811450873275024924 y[1] (numeric) = 0.85602599931238811450873275024922 absolute error = 2e-32 relative error = 2.3363776352663599365032487895040e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.264 Order of pole = 0.1334 TOP MAIN SOLVE Loop x[1] = 0.318 y[1] (analytic) = 0.85623484164430200198886522689629 y[1] (numeric) = 0.85623484164430200198886522689625 absolute error = 4e-32 relative error = 4.6716155492089684179557340754422e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.265 Order of pole = 0.1334 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.2MB, time=16.85 x[1] = 0.319 y[1] (analytic) = 0.85644327711062137426925498677838 y[1] (numeric) = 0.85644327711062137426925498677835 absolute error = 3e-32 relative error = 3.5028589518748816436470648782018e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.266 Order of pole = 0.1335 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 0.85665130676158843171169384568792 y[1] (numeric) = 0.85665130676158843171169384568787 absolute error = 5e-32 relative error = 5.8366805262943842772560671545433e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.267 Order of pole = 0.1335 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.2MB, time=17.00 x[1] = 0.321 y[1] (analytic) = 0.85685893164392210005629080594216 y[1] (numeric) = 0.85685893164392210005629080594213 absolute error = 3e-32 relative error = 3.5011597466158940733810738456569e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.268 Order of pole = 0.1335 TOP MAIN SOLVE Loop x[1] = 0.322 y[1] (analytic) = 0.85706615280083305957635087265469 y[1] (numeric) = 0.85706615280083305957635087265466 absolute error = 3e-32 relative error = 3.5003132374277142618918425182599e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.269 Order of pole = 0.1336 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.2MB, time=17.14 x[1] = 0.323 y[1] (analytic) = 0.85727297127203869459244251450506 y[1] (numeric) = 0.85727297127203869459244251450503 absolute error = 3e-32 relative error = 3.4994687812780803058517347079133e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.27 Order of pole = 0.1336 TOP MAIN SOLVE Loop x[1] = 0.324 y[1] (analytic) = 0.85747938809377796385751164949509 y[1] (numeric) = 0.85747938809377796385751164949506 absolute error = 3e-32 relative error = 3.4986263712637556048224104869801e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.272 Order of pole = 0.1337 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.2MB, time=17.29 x[1] = 0.325 y[1] (analytic) = 0.85768540429882619232100174821823 y[1] (numeric) = 0.85768540429882619232100174821819 absolute error = 4e-32 relative error = 4.6637146673494748010009846810996e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.273 Order of pole = 0.1337 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 0.85789102091650978477607580323245 y[1] (numeric) = 0.85789102091650978477607580323241 absolute error = 4e-32 relative error = 4.6625968829079063379734093139708e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.274 Order of pole = 0.1338 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.2MB, time=17.43 x[1] = 0.327 y[1] (analytic) = 0.85809623897272086189020616652401 y[1] (numeric) = 0.85809623897272086189020616652397 absolute error = 4e-32 relative error = 4.6614817992777162210575626092918e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.275 Order of pole = 0.1338 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 0.85830105948993181911560226500275 y[1] (numeric) = 0.85830105948993181911560226500271 absolute error = 4e-32 relative error = 4.6603694074164444651742647021688e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.276 Order of pole = 0.1338 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.2MB, time=17.58 x[1] = 0.329 y[1] (analytic) = 0.85850548348720980897218362757034 y[1] (numeric) = 0.85850548348720980897218362757029 absolute error = 5e-32 relative error = 5.8240746229019176986854657992423e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.277 Order of pole = 0.1339 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.2MB, time=17.72 x[1] = 0.33 y[1] (analytic) = 0.85870951198023114719207616145811 y[1] (numeric) = 0.85870951198023114719207616145807 absolute error = 4e-32 relative error = 4.6581526630301101571497215454972e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.278 Order of pole = 0.1339 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 0.85891314598129564321091286891999 y[1] (numeric) = 0.85891314598129564321091286891994 absolute error = 5e-32 relative error = 5.8213103657734490724181300427469e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.279 Order of pole = 0.134 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.2MB, time=17.86 x[1] = 0.332 y[1] (analytic) = 0.8591163864993408554875558703892 y[1] (numeric) = 0.85911638649934085548755587038915 absolute error = 5e-32 relative error = 5.8199332227541398164759247895715e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.281 Order of pole = 0.134 TOP MAIN SOLVE Loop x[1] = 0.333 y[1] (analytic) = 0.85931923453995627213022437294559 y[1] (numeric) = 0.85931923453995627213022437294553 absolute error = 6e-32 relative error = 6.9822712664079375604763774043866e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.282 Order of pole = 0.1341 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.2MB, time=18.01 x[1] = 0.334 y[1] (analytic) = 0.85952169110539741730341277310038 y[1] (numeric) = 0.85952169110539741730341277310032 absolute error = 6e-32 relative error = 6.9806266230275507762298603196948e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.283 Order of pole = 0.1341 TOP MAIN SOLVE Loop x[1] = 0.335 y[1] (analytic) = 0.85972375719459988388641409378656 y[1] (numeric) = 0.85972375719459988388641409378649 absolute error = 7e-32 relative error = 8.1421502446809068552927721677619e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.284 Order of pole = 0.1341 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.2MB, time=18.16 x[1] = 0.336 y[1] (analytic) = 0.85992543380319329285072611388015 y[1] (numeric) = 0.85992543380319329285072611388008 absolute error = 7e-32 relative error = 8.1402406823125247439634242755927e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.285 Order of pole = 0.1342 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 0.86012672192351517982011054490863 y[1] (numeric) = 0.86012672192351517982011054490856 absolute error = 7e-32 relative error = 8.1383356912174380066596071870957e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.286 Order of pole = 0.1342 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.2MB, time=18.30 x[1] = 0.338 y[1] (analytic) = 0.86032762254462480927359913761497 y[1] (numeric) = 0.86032762254462480927359913761491 absolute error = 6e-32 relative error = 6.9740873625021643212332437542377e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.287 Order of pole = 0.1343 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 0.86052813665231691684829435794303 y[1] (numeric) = 0.86052813665231691684829435794295 absolute error = 8e-32 relative error = 9.2966164141036985728850464811499e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.288 Order of pole = 0.1343 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.2MB, time=18.45 x[1] = 0.34 y[1] (analytic) = 0.86072826522913538019539595836125 y[1] (numeric) = 0.86072826522913538019539595836117 absolute error = 8e-32 relative error = 9.2944548508236935312535260552767e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.29 Order of pole = 0.1343 TOP MAIN SOLVE Loop x[1] = 0.341 y[1] (analytic) = 0.86092800925438681883949809014848 y[1] (numeric) = 0.86092800925438681883949809014841 absolute error = 7e-32 relative error = 8.1307611376965220090052424695971e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.291 Order of pole = 0.1344 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.2MB, time=18.59 x[1] = 0.342 y[1] (analytic) = 0.86112736970415412348784426251136 y[1] (numeric) = 0.86112736970415412348784426251129 absolute error = 7e-32 relative error = 8.1288787771371095391883651878230e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.292 Order of pole = 0.1344 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 0.86132634755130991523289916562319 y[1] (numeric) = 0.86132634755130991523289916562313 absolute error = 6e-32 relative error = 6.9660007696938297722219617244097e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.293 Order of pole = 0.1345 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.2MB, time=18.73 x[1] = 0.344 y[1] (analytic) = 0.86152494376552993508829685050689 y[1] (numeric) = 0.86152494376552993508829685050682 absolute error = 7e-32 relative error = 8.1251274854615227123731737457806e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.294 Order of pole = 0.1345 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.2MB, time=18.87 x[1] = 0.345 y[1] (analytic) = 0.86172315931330636429495371593675 y[1] (numeric) = 0.86172315931330636429495371593668 absolute error = 7e-32 relative error = 8.1232585249051330246701470392635e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.295 Order of pole = 0.1346 TOP MAIN SOLVE Loop x[1] = 0.346 y[1] (analytic) = 0.861920995157961075830891911142 y[1] (numeric) = 0.86192099515796107583089191114194 absolute error = 6e-32 relative error = 6.9611948585849242146253229304187e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.296 Order of pole = 0.1346 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.2MB, time=19.02 x[1] = 0.347 y[1] (analytic) = 0.86211845225965881755510384608345 y[1] (numeric) = 0.86211845225965881755510384608337 absolute error = 8e-32 relative error = 9.2794673156937655816067874838357e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.297 Order of pole = 0.1346 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 0.86231553157542032741260123452213 y[1] (numeric) = 0.86231553157542032741260123452207 absolute error = 6e-32 relative error = 6.9580098934762427106926151151699e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.299 Order of pole = 0.1347 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.2MB, time=19.16 x[1] = 0.349 y[1] (analytic) = 0.86251223405913538112463220809957 y[1] (numeric) = 0.86251223405913538112463220809951 absolute error = 6e-32 relative error = 6.9564230663290849862988110621077e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.3 Order of pole = 0.1347 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 0.86270856066157577278491726427189 y[1] (numeric) = 0.86270856066157577278491726427183 absolute error = 6e-32 relative error = 6.9548399930085849119543879957389e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.301 Order of pole = 0.1348 TOP MAIN SOLVE Loop memory used=515.0MB, alloc=4.2MB, time=19.31 x[1] = 0.351 y[1] (analytic) = 0.86290451233040822877964888220303 y[1] (numeric) = 0.86290451233040822877964888220295 absolute error = 8e-32 relative error = 9.2710142149966885492794795363802e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.302 Order of pole = 0.1348 TOP MAIN SOLVE Loop x[1] = 0.352 y[1] (analytic) = 0.86310009001020725544592029654043 y[1] (numeric) = 0.86310009001020725544592029654037 absolute error = 6e-32 relative error = 6.9516850588314066504441221497503e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.303 Order of pole = 0.1348 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.2MB, time=19.45 x[1] = 0.353 y[1] (analytic) = 0.86329529464246792088019590016539 y[1] (numeric) = 0.86329529464246792088019590016531 absolute error = 8e-32 relative error = 9.2668175647976681614673114241908e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.304 Order of pole = 0.1349 TOP MAIN SOLVE Loop x[1] = 0.354 y[1] (analytic) = 0.86349012716561857130540879715254 y[1] (numeric) = 0.86349012716561857130540879715247 absolute error = 7e-32 relative error = 8.1066358256779356974141492263876e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.305 Order of pole = 0.1349 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.2MB, time=19.60 x[1] = 0.355 y[1] (analytic) = 0.86368458851503348240226989272258 y[1] (numeric) = 0.86368458851503348240226989272251 absolute error = 7e-32 relative error = 8.1048105906756682536443646251573e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.306 Order of pole = 0.135 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 0.86387867962304544600739733711929 y[1] (numeric) = 0.86387867962304544600739733711921 absolute error = 8e-32 relative error = 9.2605596002100782413325733058843e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.307 Order of pole = 0.135 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.2MB, time=19.74 x[1] = 0.357 y[1] (analytic) = 0.86407240141895829257792488702381 y[1] (numeric) = 0.86407240141895829257792488702375 absolute error = 6e-32 relative error = 6.9438625630756735588387836400355e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.309 Order of pole = 0.1351 TOP MAIN SOLVE Loop x[1] = 0.358 y[1] (analytic) = 0.86426575482905934981932256596272 y[1] (numeric) = 0.86426575482905934981932256596266 absolute error = 6e-32 relative error = 6.9423090831439026858444036812394e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.31 Order of pole = 0.1351 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.2MB, time=19.88 x[1] = 0.359 y[1] (analytic) = 0.8644587407766318378702626514748 y[1] (numeric) = 0.86445874077663183787026265147474 absolute error = 6e-32 relative error = 6.9407592485091716333567279060445e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.311 Order of pole = 0.1351 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.2MB, time=20.02 x[1] = 0.36 y[1] (analytic) = 0.8646513601819672014354882515121 y[1] (numeric) = 0.86465136018196720143548825151203 absolute error = 7e-32 relative error = 8.0957485552637531176418408055407e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.312 Order of pole = 0.1352 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 0.8648436139623773792547903182036 y[1] (numeric) = 0.86484361396237737925479031820353 absolute error = 7e-32 relative error = 8.0939488792993684162383085746912e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.313 Order of pole = 0.1352 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.2MB, time=20.17 x[1] = 0.362 y[1] (analytic) = 0.8650355030322070112933716488224 y[1] (numeric) = 0.86503550303220701129337164882232 absolute error = 8e-32 relative error = 9.2481753314836419062626904149262e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.314 Order of pole = 0.1353 TOP MAIN SOLVE Loop x[1] = 0.363 y[1] (analytic) = 0.86522702830284558403607300922516 y[1] (numeric) = 0.8652270283028455840360730092251 absolute error = 6e-32 relative error = 6.9345961276418750359125467146281e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.315 Order of pole = 0.1353 TOP MAIN SOLVE Loop memory used=541.7MB, alloc=4.2MB, time=20.31 x[1] = 0.364 y[1] (analytic) = 0.86541819068273951426515675434778 y[1] (numeric) = 0.86541819068273951426515675434771 absolute error = 7e-32 relative error = 8.0885750673643804360183200309680e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.316 Order of pole = 0.1353 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 0.86560899107740417169858698619241 y[1] (numeric) = 0.86560899107740417169858698619233 absolute error = 8e-32 relative error = 9.2420481793316156946900316672168e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.318 Order of pole = 0.1354 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.2MB, time=20.46 x[1] = 0.366 y[1] (analytic) = 0.86579943038943584086301215723605 y[1] (numeric) = 0.86579943038943584086301215723596 absolute error = 9e-32 relative error = 1.0395017233901167759754930779943e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.319 Order of pole = 0.1354 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 0.86598950951852362257294587385145 y[1] (numeric) = 0.86598950951852362257294587385138 absolute error = 7e-32 relative error = 8.0832387956892093683978507141891e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.32 Order of pole = 0.1355 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.2MB, time=20.60 x[1] = 0.368 y[1] (analytic) = 0.86617922936146127538495426008287 y[1] (numeric) = 0.86617922936146127538495426008279 absolute error = 8e-32 relative error = 9.2359637922713992351302634141436e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.321 Order of pole = 0.1355 TOP MAIN SOLVE Loop x[1] = 0.369 y[1] (analytic) = 0.86636859081215899739299338924344 y[1] (numeric) = 0.86636859081215899739299338924335 absolute error = 9e-32 relative error = 1.0388188232404800663930377361956e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.322 Order of pole = 0.1356 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.2MB, time=20.74 x[1] = 0.37 y[1] (analytic) = 0.86655759476165514872839776392532 y[1] (numeric) = 0.86655759476165514872839776392525 absolute error = 7e-32 relative error = 8.0779397033907888571280114984648e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.323 Order of pole = 0.1356 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 0.86674624209812791512540041106652 y[1] (numeric) = 0.86674624209812791512540041106646 absolute error = 6e-32 relative error = 6.9224413197060221758876949868118e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.324 Order of pole = 0.1356 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.2MB, time=20.89 x[1] = 0.372 y[1] (analytic) = 0.86693453370690691291046664691677 y[1] (numeric) = 0.8669345337069069129104666469167 absolute error = 7e-32 relative error = 8.0744274542494564751603897124061e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.325 Order of pole = 0.1357 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 0.86712247047048473577114674855799 y[1] (numeric) = 0.86712247047048473577114674855792 absolute error = 7e-32 relative error = 8.0726774341367586638995391167343e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.326 Order of pole = 0.1357 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.2MB, time=21.03 x[1] = 0.374 y[1] (analytic) = 0.8673100532685284436575974377587 y[1] (numeric) = 0.86731005326852844365759743775862 absolute error = 8e-32 relative error = 9.2239216758197943636340308981143e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.328 Order of pole = 0.1358 TOP MAIN SOLVE Loop x[1] = 0.375 y[1] (analytic) = 0.86749728297789099416738803527656 y[1] (numeric) = 0.8674972829778909941673880352765 absolute error = 6e-32 relative error = 6.9164481753805283019548621241526e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.329 Order of pole = 0.1358 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.2MB, time=21.18 x[1] = 0.376 y[1] (analytic) = 0.86768416047262261676169417734444 y[1] (numeric) = 0.86768416047262261676169417734436 absolute error = 8e-32 relative error = 9.2199447269412473736467008617689e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.33 Order of pole = 0.1358 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.2MB, time=21.32 x[1] = 0.377 y[1] (analytic) = 0.86787068662398213015848990120518 y[1] (numeric) = 0.86787068662398213015848990120512 absolute error = 6e-32 relative error = 6.9134723553574625435755506783866e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.331 Order of pole = 0.1359 TOP MAIN SOLVE Loop x[1] = 0.378 y[1] (analytic) = 0.86805686230044820324587750555247 y[1] (numeric) = 0.8680568623004482032458775055524 absolute error = 7e-32 relative error = 8.0639878607136560326528638482575e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.332 Order of pole = 0.1359 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.2MB, time=21.46 x[1] = 0.379 y[1] (analytic) = 0.86824268836773055985624367903266 y[1] (numeric) = 0.86824268836773055985624367903259 absolute error = 7e-32 relative error = 8.0622619617560889785411425599109e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.333 Order of pole = 0.136 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 0.86842816568878112773949977209587 y[1] (numeric) = 0.86842816568878112773949977209579 absolute error = 8e-32 relative error = 9.2120457581599932723355243192421e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.334 Order of pole = 0.136 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.2MB, time=21.61 x[1] = 0.381 y[1] (analytic) = 0.86861329512380513207125357302159 y[1] (numeric) = 0.8686132951238051320712535730215 absolute error = 9e-32 relative error = 1.0361342671731973204590090578942e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.335 Order of pole = 0.136 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 0.86879807753027213382936934849036 y[1] (numeric) = 0.86879807753027213382936934849029 absolute error = 7e-32 relative error = 8.0571080680782171117148273018052e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.337 Order of pole = 0.1361 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.2MB, time=21.75 x[1] = 0.383 y[1] (analytic) = 0.86898251376292701337000203522814 y[1] (numeric) = 0.86898251376292701337000203522806 absolute error = 8e-32 relative error = 9.2061691383844508671640736876514e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.338 Order of pole = 0.1361 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 0.86916660467380089953184013659745 y[1] (numeric) = 0.86916660467380089953184013659738 absolute error = 7e-32 relative error = 8.0536918495932169837393350178155e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.339 Order of pole = 0.1362 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.2MB, time=21.90 x[1] = 0.385 y[1] (analytic) = 0.86935035111222204459495990308856 y[1] (numeric) = 0.8693503511122220445949599030885 absolute error = 6e-32 relative error = 6.9017053853187856025464241411336e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.34 Order of pole = 0.1362 TOP MAIN SOLVE Loop x[1] = 0.386 y[1] (analytic) = 0.86953375392482664541838057694218 y[1] (numeric) = 0.86953375392482664541838057694211 absolute error = 7e-32 relative error = 8.0502912835804271735561764186470e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.341 Order of pole = 0.1362 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.2MB, time=22.04 x[1] = 0.387 y[1] (analytic) = 0.8697168139555696110781166789985 y[1] (numeric) = 0.86971681395556961107811667899844 absolute error = 6e-32 relative error = 6.8987972909381009698745629489013e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.342 Order of pole = 0.1363 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 0.86989953204573527732524833258264 y[1] (numeric) = 0.86989953204573527732524833258256 absolute error = 8e-32 relative error = 9.1964643102939353625919162262440e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.343 Order of pole = 0.1363 TOP MAIN SOLVE Loop memory used=591.3MB, alloc=4.2MB, time=22.19 x[1] = 0.389 y[1] (analytic) = 0.87008190903394806818127427893968 y[1] (numeric) = 0.8700819090339480681812742789396 absolute error = 8e-32 relative error = 9.1945366487189693343619023746030e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.344 Order of pole = 0.1364 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = 0.87026394575618310498577436740651 y[1] (numeric) = 0.87026394575618310498577436740645 absolute error = 6e-32 relative error = 6.8944600419893596743780229571097e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.345 Order of pole = 0.1364 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.2MB, time=22.33 x[1] = 0.391 y[1] (analytic) = 0.87044564304577676320918872895188 y[1] (numeric) = 0.87044564304577676320918872895182 absolute error = 6e-32 relative error = 6.8930208887086816229621716045002e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.347 Order of pole = 0.1364 TOP MAIN SOLVE Loop x[1] = 0.392 y[1] (analytic) = 0.87062700173343717734131939353937 y[1] (numeric) = 0.8706270017334371773413193935393 absolute error = 7e-32 memory used=598.9MB, alloc=4.2MB, time=22.47 relative error = 8.0401825191073200219721975078988e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.348 Order of pole = 0.1365 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 0.87080802264725469416397662135465 y[1] (numeric) = 0.87080802264725469416397662135459 absolute error = 6e-32 relative error = 6.8901524147193909360513626621545e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.349 Order of pole = 0.1365 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.2MB, time=22.62 x[1] = 0.394 y[1] (analytic) = 0.87098870661271227471402651843487 y[1] (numeric) = 0.8709887066127122747140265184348 absolute error = 7e-32 relative error = 8.0368435857487769595201082109965e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.35 Order of pole = 0.1366 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 0.87116905445269584524094843353093 y[1] (numeric) = 0.87116905445269584524094843353086 absolute error = 7e-32 relative error = 8.0351798129442135612363169582553e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.351 Order of pole = 0.1366 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.2MB, time=22.76 x[1] = 0.396 y[1] (analytic) = 0.87134906698750459746088002173013 y[1] (numeric) = 0.87134906698750459746088002173005 absolute error = 8e-32 relative error = 9.1811655088565354013415690267719e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.352 Order of pole = 0.1366 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 0.87152874503486123840701454977039 y[1] (numeric) = 0.87152874503486123840701454977031 absolute error = 8e-32 relative error = 9.1792726809945886370791499611823e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.353 Order of pole = 0.1367 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.2MB, time=22.90 x[1] = 0.398 y[1] (analytic) = 0.87170808940992219017411884807809 y[1] (numeric) = 0.87170808940992219017411884807802 absolute error = 7e-32 relative error = 8.0302111280605981239492869417196e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.354 Order of pole = 0.1367 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 0.87188710092528773985286112700392 y[1] (numeric) = 0.87188710092528773985286112700384 absolute error = 8e-32 relative error = 9.1754998915685556573899978494124e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.355 Order of pole = 0.1367 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.2MB, time=23.05 x[1] = 0.4 y[1] (analytic) = 0.87206578039101213994757551280601 y[1] (numeric) = 0.87206578039101213994757551280592 absolute error = 9e-32 relative error = 1.0320322391235932519739460926443e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.357 Order of pole = 0.1368 TOP MAIN SOLVE Loop x[1] = 0.401 y[1] (analytic) = 0.87224412861461365956904446754936 y[1] (numeric) = 0.87224412861461365956904446754928 absolute error = 8e-32 relative error = 9.1717441683515933649924037398430e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.358 Order of pole = 0.1368 TOP MAIN SOLVE Loop memory used=618.0MB, alloc=4.2MB, time=23.19 x[1] = 0.402 y[1] (analytic) = 0.87242214640108458669185108277068 y[1] (numeric) = 0.87242214640108458669185108277059 absolute error = 9e-32 relative error = 1.0316106757636535953827492600396e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.359 Order of pole = 0.1369 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 0.87259983455290118176384042760208 y[1] (numeric) = 0.87259983455290118176384042760199 absolute error = 9e-32 relative error = 1.0314006081162483751980436504771e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.36 Order of pole = 0.1369 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.2MB, time=23.34 x[1] = 0.404 y[1] (analytic) = 0.87277719387003358295323253772611 y[1] (numeric) = 0.87277719387003358295323253772603 absolute error = 8e-32 relative error = 9.1661423513219006952442662744499e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.361 Order of pole = 0.1369 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 0.87295422514995566331694910326729 y[1] (numeric) = 0.87295422514995566331694910326721 absolute error = 8e-32 relative error = 9.1642834979414456574073170268524e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.362 Order of pole = 0.137 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.2MB, time=23.48 x[1] = 0.406 y[1] (analytic) = 0.87313092918765484017175130426604 y[1] (numeric) = 0.87313092918765484017175130426594 absolute error = 1.0e-31 relative error = 1.1453036040429604747573745737830e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.363 Order of pole = 0.137 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 0.87330730677564183694783740599512 y[1] (numeric) = 0.87330730677564183694783740599504 absolute error = 8e-32 relative error = 9.1605783415885818635595594044028e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.364 Order of pole = 0.1371 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.2MB, time=23.63 x[1] = 0.408 y[1] (analytic) = 0.87348335870396039780261551883249 y[1] (numeric) = 0.8734833587039603978026155188324 absolute error = 9e-32 relative error = 1.0303573514387084968393381172923e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.365 Order of pole = 0.1371 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.2MB, time=23.77 x[1] = 0.409 y[1] (analytic) = 0.87365908576019695527044920594016 y[1] (numeric) = 0.87365908576019695527044920594008 absolute error = 8e-32 relative error = 9.1568898331080254595238911472681e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.367 Order of pole = 0.1371 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 0.87383448872949025122227124532869 y[1] (numeric) = 0.87383448872949025122227124532859 absolute error = 1.0e-31 relative error = 1.1443814737204385451556637194313e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.368 Order of pole = 0.1372 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.2MB, time=23.91 x[1] = 0.411 y[1] (analytic) = 0.8740095683945409114070736811609 y[1] (numeric) = 0.87400956839454091140707368116081 absolute error = 9e-32 relative error = 1.0297370103775873325634249857392e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.369 Order of pole = 0.1372 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 0.87418432553562097384541019395799 y[1] (numeric) = 0.87418432553562097384541019395789 absolute error = 1.0e-31 relative error = 1.1439235076507355320371999299901e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.37 Order of pole = 0.1373 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.2MB, time=24.05 x[1] = 0.413 y[1] (analytic) = 0.87435876093058337134318964370993 y[1] (numeric) = 0.87435876093058337134318964370983 absolute error = 1.0e-31 relative error = 1.1436952938353315950919016639491e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.371 Order of pole = 0.1373 TOP MAIN SOLVE Loop x[1] = 0.414 y[1] (analytic) = 0.87453287535487136839219725816393 y[1] (numeric) = 0.87453287535487136839219725816384 absolute error = 9e-32 relative error = 1.0291208316608960895010170133583e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.372 Order of pole = 0.1373 TOP MAIN SOLVE Loop memory used=644.7MB, alloc=4.2MB, time=24.20 x[1] = 0.415 y[1] (analytic) = 0.87470666958152795272195221654467 y[1] (numeric) = 0.87470666958152795272195221654459 absolute error = 8e-32 relative error = 9.1459231742537337630884892320378e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.373 Order of pole = 0.1374 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 0.87488014438120518176569718379879 y[1] (numeric) = 0.87488014438120518176569718379871 absolute error = 8e-32 relative error = 9.1441096833421996214330189158929e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.374 Order of pole = 0.1374 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.3MB, time=24.34 x[1] = 0.417 y[1] (analytic) = 0.87505330052217348430151655065033 y[1] (numeric) = 0.87505330052217348430151655065024 absolute error = 9e-32 relative error = 1.0285087770801389906619083171997e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.375 Order of pole = 0.1374 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 0.87522613877033091752779560013795 y[1] (numeric) = 0.87522613877033091752779560013785 absolute error = 1.0e-31 relative error = 1.1425618542482894614884727241686e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.377 Order of pole = 0.1375 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.3MB, time=24.49 x[1] = 0.419 y[1] (analytic) = 0.8753986598892123798304624230349 y[1] (numeric) = 0.8753986598892123798304624230348 absolute error = 1.0e-31 relative error = 1.1423366813544776986060613270836e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.378 Order of pole = 0.1375 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 0.87557086463999877949769801508938 y[1] (numeric) = 0.87557086463999877949769801508928 absolute error = 1.0e-31 relative error = 1.1421120098727379622259619621891e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.379 Order of pole = 0.1376 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.3MB, time=24.63 x[1] = 0.421 y[1] (analytic) = 0.87574275378152615963605748212015 y[1] (numeric) = 0.87574275378152615963605748212004 absolute error = 1.1e-31 relative error = 1.2560766221017683503687224237008e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.38 Order of pole = 0.1376 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 0.87591432807029477954021652968941 y[1] (numeric) = 0.87591432807029477954021652968932 absolute error = 9e-32 relative error = 1.0274977485329732753142106398135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.381 Order of pole = 0.1376 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.3MB, time=24.78 x[1] = 0.423 y[1] (analytic) = 0.87608558826047815276684229864485 y[1] (numeric) = 0.87608558826047815276684229864475 absolute error = 1.0e-31 relative error = 1.1414409886430862731939960510837e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.382 Order of pole = 0.1377 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 0.87625653510393204216138600381587 y[1] (numeric) = 0.87625653510393204216138600381576 absolute error = 1.1e-31 relative error = 1.2553401383414845925400290277198e-29 % Correct digits = 30 h = 0.001 memory used=663.7MB, alloc=4.3MB, time=24.92 Complex estimate of poles used for equation 1 Radius of convergence = 1.383 Order of pole = 0.1377 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 0.87642716935020341208490661934301 y[1] (numeric) = 0.87642716935020341208490661934292 absolute error = 9e-32 relative error = 1.0268965083171415683591848277552e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.384 Order of pole = 0.1377 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.3MB, time=25.06 x[1] = 0.426 y[1] (analytic) = 0.87659749174653933808635991050777 y[1] (numeric) = 0.87659749174653933808635991050768 absolute error = 9e-32 relative error = 1.0266969829069820072817877562731e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.385 Order of pole = 0.1378 TOP MAIN SOLVE Loop x[1] = 0.427 y[1] (analytic) = 0.87676750303789587426412531971845 y[1] (numeric) = 0.87676750303789587426412531971836 absolute error = 9e-32 relative error = 1.0264978992510628723400494705536e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.387 Order of pole = 0.1378 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.3MB, time=25.21 x[1] = 0.428 y[1] (analytic) = 0.87693720396694687855889445589302 y[1] (numeric) = 0.87693720396694687855889445589292 absolute error = 1.0e-31 relative error = 1.1403325066793397772487624058874e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.388 Order of pole = 0.1379 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 0.87710659527409279621840909543798 y[1] (numeric) = 0.87710659527409279621840909543789 absolute error = 9e-32 relative error = 1.0261010518553370283281473716653e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.389 Order of pole = 0.1379 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.3MB, time=25.35 x[1] = 0.43 y[1] (analytic) = 0.87727567769746940167291356410033 y[1] (numeric) = 0.87727567769746940167291356410022 absolute error = 1.1e-31 relative error = 1.2538817933344523990882966495738e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.39 Order of pole = 0.1379 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 0.87744445197295649905857601806395 y[1] (numeric) = 0.87744445197295649905857601806386 absolute error = 9e-32 relative error = 1.0257059554896344366798824021750e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.391 Order of pole = 0.138 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.3MB, time=25.50 x[1] = 0.432 y[1] (analytic) = 0.87761291883418658162453536681591 y[1] (numeric) = 0.87761291883418658162453536681579 absolute error = 1.2e-31 relative error = 1.3673454141879196940428294938908e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.392 Order of pole = 0.138 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 0.87778107901255345025764526768609 y[1] (numeric) = 0.87778107901255345025764526768598 absolute error = 1.1e-31 relative error = 1.2531598439526953169083533338787e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.393 Order of pole = 0.138 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.3MB, time=25.64 x[1] = 0.434 y[1] (analytic) = 0.87794893323722079135741366185828 y[1] (numeric) = 0.87794893323722079135741366185817 absolute error = 1.1e-31 relative error = 1.2529202535095298828214852210951e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.394 Order of pole = 0.1381 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 0.87811648223513071429207560444218 y[1] (numeric) = 0.87811648223513071429207560444208 absolute error = 1.0e-31 relative error = 1.1388010818959128570111789815090e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.395 Order of pole = 0.1381 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.3MB, time=25.78 x[1] = 0.436 y[1] (analytic) = 0.87828372673101224866518855837402 y[1] (numeric) = 0.87828372673101224866518855837391 absolute error = 1.1e-31 relative error = 1.2524426520962874821238580629744e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.396 Order of pole = 0.1381 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 0.87845066744738980162060276603155 y[1] (numeric) = 0.87845066744738980162060276603144 absolute error = 1.1e-31 relative error = 1.2522046379637804013790857296503e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.398 Order of pole = 0.1382 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.3MB, time=25.92 x[1] = 0.438 y[1] (analytic) = 0.87861730510459157541213467714072 y[1] (numeric) = 0.87861730510459157541213467714062 absolute error = 1.0e-31 relative error = 1.1381519510146216553121338603424e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.399 Order of pole = 0.1382 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 0.87878364042075794546275859149704 y[1] (numeric) = 0.87878364042075794546275859149693 absolute error = 1.1e-31 relative error = 1.2517301749874685688260348491662e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.4 Order of pole = 0.1383 memory used=694.3MB, alloc=4.3MB, time=26.07 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (analytic) = 0.87894967411184979913663056595525 y[1] (numeric) = 0.87894967411184979913663056595513 absolute error = 1.2e-31 relative error = 1.3652658796563764191035345427958e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.401 Order of pole = 0.1383 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.3MB, time=26.21 x[1] = 0.441 y[1] (analytic) = 0.87911540689165683544576913381726 y[1] (numeric) = 0.87911540689165683544576913381716 absolute error = 1.0e-31 relative error = 1.1375070805956664536247617405730e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.402 Order of pole = 0.1383 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 0.87928083947180582591173938895261 y[1] (numeric) = 0.8792808394718058259117393889525 absolute error = 1.1e-31 relative error = 1.2510223703507320001119812617953e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.403 Order of pole = 0.1384 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.3MB, time=26.35 x[1] = 0.443 y[1] (analytic) = 0.87944597256176883680122039551191 y[1] (numeric) = 0.87944597256176883680122039551178 absolute error = 1.3e-31 relative error = 1.4782033695750344655830527644870e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.404 Order of pole = 0.1384 TOP MAIN SOLVE Loop x[1] = 0.444 y[1] (analytic) = 0.87961080686887141295288059673512 y[1] (numeric) = 0.87961080686887141295288059673499 absolute error = 1.3e-31 relative error = 1.4779263622596651380646338795002e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.405 Order of pole = 0.1384 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.3MB, time=26.49 x[1] = 0.445 y[1] (analytic) = 0.8797753430983007234115418138916 y[1] (numeric) = 0.87977534309830072341154181389148 absolute error = 1.2e-31 relative error = 1.3639845778968589817259202902660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.406 Order of pole = 0.1385 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 0.87993958195311366908417945057799 y[1] (numeric) = 0.87993958195311366908417945057787 absolute error = 1.2e-31 relative error = 1.3637299930712064453249771532739e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.408 Order of pole = 0.1385 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.3MB, time=26.64 x[1] = 0.447 y[1] (analytic) = 0.88010352413424495263088455116758 y[1] (numeric) = 0.88010352413424495263088455116746 absolute error = 1.2e-31 relative error = 1.3634759628765675002004485703476e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.409 Order of pole = 0.1385 TOP MAIN SOLVE Loop x[1] = 0.448 y[1] (analytic) = 0.88026717034051511080250230883167 y[1] (numeric) = 0.88026717034051511080250230883153 absolute error = 1.4e-31 relative error = 1.5904262332746498258628414258656e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.41 Order of pole = 0.1386 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.3MB, time=26.78 x[1] = 0.449 y[1] (analytic) = 0.88043052126863850943526138286708 y[1] (numeric) = 0.88043052126863850943526138286694 absolute error = 1.4e-31 relative error = 1.5901311530893981096181133678475e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.411 Order of pole = 0.1386 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = 0.88059357761323130131131887262762 y[1] (numeric) = 0.88059357761323130131131887262749 absolute error = 1.3e-31 relative error = 1.4762769489229431042239820652506e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.412 Order of pole = 0.1386 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.3MB, time=26.93 x[1] = 0.451 y[1] (analytic) = 0.88075634006681934709276691265748 y[1] (numeric) = 0.88075634006681934709276691265734 absolute error = 1.4e-31 relative error = 1.5895429147791178889027647586242e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.413 Order of pole = 0.1387 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 0.88091880931984609953527850806627 y[1] (numeric) = 0.88091880931984609953527850806615 absolute error = 1.2e-31 relative error = 1.3622140738787439623596707962751e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.414 Order of pole = 0.1387 TOP MAIN SOLVE Loop memory used=721.0MB, alloc=4.3MB, time=27.07 x[1] = 0.453 y[1] (analytic) = 0.88108098606068045118621232907691 y[1] (numeric) = 0.88108098606068045118621232907678 absolute error = 1.3e-31 relative error = 1.4754602818207546750892892490781e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.415 Order of pole = 0.1387 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 0.88124287097562454577064863822103 y[1] (numeric) = 0.88124287097562454577064863822091 absolute error = 1.2e-31 relative error = 1.3617131434736932770060946961031e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.416 Order of pole = 0.1388 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.3MB, time=27.21 x[1] = 0.455 y[1] (analytic) = 0.88140446474892155346749124294664 y[1] (numeric) = 0.88140446474892155346749124294653 absolute error = 1.1e-31 relative error = 1.2480082005408810360991716392962e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.417 Order of pole = 0.1388 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.3MB, time=27.35 x[1] = 0.456 y[1] (analytic) = 0.88156576806276341027644326140015 y[1] (numeric) = 0.88156576806276341027644326140003 absolute error = 1.2e-31 relative error = 1.3612143795431103257432083177309e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.419 Order of pole = 0.1388 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 0.88172678159729852167534747168755 y[1] (numeric) = 0.88172678159729852167534747168744 absolute error = 1.1e-31 relative error = 1.2475519888454415011689184614823e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.42 Order of pole = 0.1389 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.3MB, time=27.50 x[1] = 0.458 y[1] (analytic) = 0.88188750603063943076607499769563 y[1] (numeric) = 0.88188750603063943076607499769551 absolute error = 1.2e-31 relative error = 1.3607177693231866492897725815876e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.421 Order of pole = 0.1389 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 0.88204794203887045110584898110187 y[1] (numeric) = 0.88204794203887045110584898110175 absolute error = 1.2e-31 relative error = 1.3604702678928963557072818466840e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.422 Order of pole = 0.139 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.3MB, time=27.64 x[1] = 0.46 y[1] (analytic) = 0.88220809029605526441960261390198 y[1] (numeric) = 0.88220809029605526441960261390185 absolute error = 1.3e-31 relative error = 1.4735752418272884939636432480045e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.423 Order of pole = 0.139 TOP MAIN SOLVE Loop x[1] = 0.461 y[1] (analytic) = 0.88236795147424448338769337384051 y[1] (numeric) = 0.88236795147424448338769337384038 absolute error = 1.3e-31 relative error = 1.4733082698980435664887221320159e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.424 Order of pole = 0.139 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.3MB, time=27.79 x[1] = 0.462 y[1] (analytic) = 0.88252752624348317970202743257581 y[1] (numeric) = 0.88252752624348317970202743257569 absolute error = 1.2e-31 relative error = 1.3597309594499020560338299541059e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.425 Order of pole = 0.1391 TOP MAIN SOLVE Loop x[1] = 0.463 y[1] (analytic) = 0.88268681527181837758238991008346 y[1] (numeric) = 0.88268681527181837758238991008333 absolute error = 1.3e-31 relative error = 1.4727760486596510495187703871860e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.426 Order of pole = 0.1391 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.3MB, time=27.93 x[1] = 0.464 y[1] (analytic) = 0.88284581922530651294352784634965 y[1] (numeric) = 0.88284581922530651294352784634952 absolute error = 1.3e-31 relative error = 1.4725107959855827637835704641217e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.427 Order of pole = 0.1391 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 0.88300453876802085840229337126631 y[1] (numeric) = 0.88300453876802085840229337126617 absolute error = 1.4e-31 relative error = 1.5854958140456421345180255693380e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.428 Order of pole = 0.1392 TOP MAIN SOLVE Loop memory used=747.7MB, alloc=4.3MB, time=28.07 x[1] = 0.466 y[1] (analytic) = 0.88316297456205891431292449503902 y[1] (numeric) = 0.8831629745620589143129244950389 absolute error = 1.2e-31 relative error = 1.3587526136895102456252036700876e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.43 Order of pole = 0.1392 TOP MAIN SOLVE Loop x[1] = 0.467 y[1] (analytic) = 0.88332112726754976601732013436281 y[1] (numeric) = 0.88332112726754976601732013436269 absolute error = 1.2e-31 relative error = 1.3585093381747351146951624861125e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.431 Order of pole = 0.1392 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.3MB, time=28.22 x[1] = 0.468 y[1] (analytic) = 0.88347899754266140749595435488133 y[1] (numeric) = 0.8834789975426614074959543548812 absolute error = 1.3e-31 relative error = 1.4714554659656475181282281889797e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.432 Order of pole = 0.1393 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 0.88363658604360803160387226956017 y[1] (numeric) = 0.88363658604360803160387226956004 absolute error = 1.3e-31 relative error = 1.4711930453452774613648535049537e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.433 Order of pole = 0.1393 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.3MB, time=28.36 x[1] = 0.47 y[1] (analytic) = 0.88379389342465728707501650786122 y[1] (numeric) = 0.88379389342465728707501650786109 absolute error = 1.3e-31 relative error = 1.4709311861870472927105556512879e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.434 Order of pole = 0.1393 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.3MB, time=28.50 x[1] = 0.471 y[1] (analytic) = 0.88395092033813750247694858503817 y[1] (numeric) = 0.88395092033813750247694858503802 absolute error = 1.5e-31 relative error = 1.6969267925262246601756614397875e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.435 Order of pole = 0.1394 TOP MAIN SOLVE Loop x[1] = 0.472 y[1] (analytic) = 0.88410766743444487729685377825485 y[1] (numeric) = 0.8841076674344448772968537782547 absolute error = 1.5e-31 relative error = 1.6966259373734280180370175908010e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.436 Order of pole = 0.1394 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.3MB, time=28.65 x[1] = 0.473 y[1] (analytic) = 0.88426413536205064033855118105921 y[1] (numeric) = 0.88426413536205064033855118105908 absolute error = 1.3e-31 relative error = 1.4701489611672779505145611314680e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.437 Order of pole = 0.1394 TOP MAIN SOLVE Loop x[1] = 0.474 y[1] (analytic) = 0.88442032476750817560907238524933 y[1] (numeric) = 0.88442032476750817560907238524918 absolute error = 1.5e-31 relative error = 1.6960261518122757007529879430820e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.438 Order of pole = 0.1395 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.3MB, time=28.79 x[1] = 0.475 y[1] (analytic) = 0.88457623629546011587222265528217 y[1] (numeric) = 0.88457623629546011587222265528204 absolute error = 1.3e-31 relative error = 1.4696302553235025799096797824849e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.439 Order of pole = 0.1395 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 0.88473187058864540404539744174517 y[1] (numeric) = 0.88473187058864540404539744174502 absolute error = 1.5e-31 relative error = 1.6954289201789391380814805316505e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.441 Order of pole = 0.1395 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.3MB, time=28.94 x[1] = 0.477 y[1] (analytic) = 0.88488722828790632261479455437554 y[1] (numeric) = 0.8848872282879063226147945543754 absolute error = 1.4e-31 relative error = 1.5821225069648049288984237976101e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.442 Order of pole = 0.1395 TOP MAIN SOLVE Loop x[1] = 0.478 y[1] (analytic) = 0.88504231003219549124303820971331 y[1] (numeric) = 0.88504231003219549124303820971318 absolute error = 1.3e-31 relative error = 1.4688563306682021211716880085540e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.443 Order of pole = 0.1396 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.3MB, time=29.08 x[1] = 0.479 y[1] (analytic) = 0.8851971164585828327421154124236 y[1] (numeric) = 0.88519711645858283274211541242348 absolute error = 1.2e-31 relative error = 1.3556302632354387762539353905080e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.444 Order of pole = 0.1396 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 0.88535164820226250758341765202557 y[1] (numeric) = 0.88535164820226250758341765202544 absolute error = 1.3e-31 relative error = 1.4683431183978653856642424515411e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.445 Order of pole = 0.1396 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.3MB, time=29.23 x[1] = 0.481 y[1] (analytic) = 0.88550590589655981711558162828114 y[1] (numeric) = 0.885505905896559817115581628281 absolute error = 1.4e-31 relative error = 1.5810171232935183838027146607013e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.446 Order of pole = 0.1397 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 0.8856598901729380756597315895597 y[1] (numeric) = 0.88565989017293807565973158955956 absolute error = 1.4e-31 relative error = 1.5807422415015649840941409805669e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.447 Order of pole = 0.1397 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.3MB, time=29.37 x[1] = 0.483 y[1] (analytic) = 0.88581360166100545165064281048913 y[1] (numeric) = 0.88581360166100545165064281048901 absolute error = 1.2e-31 relative error = 1.3546868074162079105609512013578e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.448 Order of pole = 0.1397 TOP MAIN SOLVE Loop x[1] = 0.484 y[1] (analytic) = 0.88596704098852177799127068016584 y[1] (numeric) = 0.88596704098852177799127068016572 absolute error = 1.2e-31 relative error = 1.3544521912023888741373968479317e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.449 Order of pole = 0.1398 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.3MB, time=29.52 x[1] = 0.485 y[1] (analytic) = 0.88612020878140533178702275280319 y[1] (numeric) = 0.88612020878140533178702275280306 absolute error = 1.3e-31 relative error = 1.4670695771488646722221509560321e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.45 Order of pole = 0.1398 TOP MAIN SOLVE Loop x[1] = 0.486 y[1] (analytic) = 0.88627310566373958362509186226364 y[1] (numeric) = 0.88627310566373958362509186226351 absolute error = 1.3e-31 relative error = 1.4668164831950032357009490856352e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.452 Order of pole = 0.1398 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.3MB, time=29.66 x[1] = 0.487 y[1] (analytic) = 0.88642573225777991656311695438561 y[1] (numeric) = 0.88642573225777991656311695438549 absolute error = 1.2e-31 relative error = 1.3537513142172976756205618389855e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.453 Order of pole = 0.1399 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.3MB, time=29.80 x[1] = 0.488 y[1] (analytic) = 0.88657808918396031499039458094812 y[1] (numeric) = 0.886578089183960314990394580948 absolute error = 1.2e-31 relative error = 1.3535186743725247628097529391459e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.454 Order of pole = 0.1399 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 0.88673017706090002352382796169387 y[1] (numeric) = 0.88673017706090002352382796169374 absolute error = 1.3e-31 relative error = 1.4660604021720542922499063787415e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.455 Order of pole = 0.1399 TOP MAIN SOLVE Loop memory used=797.3MB, alloc=4.3MB, time=29.95 x[1] = 0.49 y[1] (analytic) = 0.88688199650541017609977209184606 y[1] (numeric) = 0.88688199650541017609977209184594 absolute error = 1.2e-31 relative error = 1.3530548649407381841108522971313e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.456 Order of pole = 0.14 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 0.88703354813250039542191248839808 y[1] (numeric) = 0.88703354813250039542191248839794 absolute error = 1.4e-31 relative error = 1.5782943079745563130620371527002e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.457 Order of pole = 0.14 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.3MB, time=30.10 x[1] = 0.492 y[1] (analytic) = 0.88718483255538536292430176611851 y[1] (numeric) = 0.88718483255538536292430176611838 absolute error = 1.3e-31 relative error = 1.4653090903905227936056294036671e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.458 Order of pole = 0.14 TOP MAIN SOLVE Loop x[1] = 0.493 y[1] (analytic) = 0.88733585038549135940767225127956 y[1] (numeric) = 0.88733585038549135940767225127942 absolute error = 1.4e-31 relative error = 1.5777566063534888858625039744694e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.459 Order of pole = 0.14 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.3MB, time=30.24 x[1] = 0.494 y[1] (analytic) = 0.88748660223246277650614421574586 y[1] (numeric) = 0.88748660223246277650614421574573 absolute error = 1.3e-31 relative error = 1.4648108452903562862433969624764e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.46 Order of pole = 0.1401 TOP MAIN SOLVE Loop x[1] = 0.495 y[1] (analytic) = 0.88763708870416859914045798500226 y[1] (numeric) = 0.88763708870416859914045798500213 absolute error = 1.3e-31 relative error = 1.4645625070689937992356506191861e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.461 Order of pole = 0.1401 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.3MB, time=30.38 x[1] = 0.496 y[1] (analytic) = 0.88778731040670885911287408026385 y[1] (numeric) = 0.88778731040670885911287408026372 absolute error = 1.3e-31 relative error = 1.4643146897475367643524406208144e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.462 Order of pole = 0.1401 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 0.88793726794442105999790863688677 y[1] (numeric) = 0.88793726794442105999790863688664 absolute error = 1.3e-31 relative error = 1.4640673918434644571425808168627e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.464 Order of pole = 0.1402 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.3MB, time=30.53 x[1] = 0.498 y[1] (analytic) = 0.88808696191988657348210153932413 y[1] (numeric) = 0.88808696191988657348210153932399 absolute error = 1.4e-31 relative error = 1.5764221974089656592360908812567e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.465 Order of pole = 0.1402 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 0.88823639293393700730505196784754 y[1] (numeric) = 0.88823639293393700730505196784739 absolute error = 1.5e-31 relative error = 1.6887396327517546266786981204979e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.466 Order of pole = 0.1402 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.3MB, time=30.67 x[1] = 0.5 y[1] (analytic) = 0.88838556158566054495300030572803 y[1] (numeric) = 0.88838556158566054495300030572789 absolute error = 1.4e-31 relative error = 1.5758923383459426062610863536831e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.467 Order of pole = 0.1403 TOP MAIN SOLVE Loop x[1] = 0.501 y[1] (analytic) = 0.88853446847240825725528654963114 y[1] (numeric) = 0.88853446847240825725528654963101 absolute error = 1.3e-31 relative error = 1.4630833649424924023862592068787e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.468 Order of pole = 0.1403 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.3MB, time=30.81 x[1] = 0.502 y[1] (analytic) = 0.88868311418980038603307344325787 y[1] (numeric) = 0.88868311418980038603307344325773 absolute error = 1.4e-31 relative error = 1.5753646914697595721574225738507e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.469 Order of pole = 0.1403 TOP MAIN SOLVE Loop memory used=824.0MB, alloc=4.3MB, time=30.96 x[1] = 0.503 y[1] (analytic) = 0.88883149933173259994878745791778 y[1] (numeric) = 0.88883149933173259994878745791764 absolute error = 1.4e-31 relative error = 1.5751016936872614366802341897000e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.47 Order of pole = 0.1403 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 0.88897962449038222270380241743923 y[1] (numeric) = 0.88897962449038222270380241743909 absolute error = 1.4e-31 relative error = 1.5748392442656557795253036006109e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.471 Order of pole = 0.1404 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.3MB, time=31.10 x[1] = 0.505 y[1] (analytic) = 0.88912749025621443373096895281386 y[1] (numeric) = 0.88912749025621443373096895281371 absolute error = 1.5e-31 relative error = 1.6870471517731997796300118715114e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.472 Order of pole = 0.1404 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 0.88927509721798844152767801896363 y[1] (numeric) = 0.88927509721798844152767801896348 absolute error = 1.5e-31 relative error = 1.6867671260475027818897580588687e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.473 Order of pole = 0.1404 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.3MB, time=31.24 x[1] = 0.507 y[1] (analytic) = 0.88942244596276362977423835724405 y[1] (numeric) = 0.88942244596276362977423835724392 absolute error = 1.3e-31 relative error = 1.4616226585026228609957586378423e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.474 Order of pole = 0.1405 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 0.88956953707590567638144598849802 y[1] (numeric) = 0.88956953707590567638144598849788 absolute error = 1.4e-31 relative error = 1.5737948992744566450738327247554e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.476 Order of pole = 0.1405 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.3MB, time=31.38 x[1] = 0.509 y[1] (analytic) = 0.88971637114109264561032851889268 y[1] (numeric) = 0.88971637114109264561032851889253 absolute error = 1.5e-31 relative error = 1.6859305377018038483641758073615e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.477 Order of pole = 0.1405 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (analytic) = 0.88986294874032105340615818114468 y[1] (numeric) = 0.88986294874032105340615818114454 absolute error = 1.4e-31 relative error = 1.5732759769151222952948413596619e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.478 Order of pole = 0.1406 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.3MB, time=31.53 x[1] = 0.511 y[1] (analytic) = 0.89000927045391190608794506429194 y[1] (numeric) = 0.8900092704539119060879450642918 absolute error = 1.4e-31 relative error = 1.5730173229386573789681509704201e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.479 Order of pole = 0.1406 TOP MAIN SOLVE Loop x[1] = 0.512 y[1] (analytic) = 0.89015533686051671253374585361676 y[1] (numeric) = 0.89015533686051671253374585361662 absolute error = 1.4e-31 relative error = 1.5727592050817234209512034718171e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.48 Order of pole = 0.1406 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.3MB, time=31.67 x[1] = 0.513 y[1] (analytic) = 0.89030114853712347000125355685792 y[1] (numeric) = 0.89030114853712347000125355685778 absolute error = 1.4e-31 relative error = 1.5725016218392795695856916440726e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.481 Order of pole = 0.1406 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 0.89044670605906262372227008213451 y[1] (numeric) = 0.89044670605906262372227008213437 absolute error = 1.4e-31 relative error = 1.5722445717117842990387851503184e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.482 Order of pole = 0.1407 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.3MB, time=31.82 x[1] = 0.515 y[1] (analytic) = 0.89059201000001300040880610618173 y[1] (numeric) = 0.89059201000001300040880610618159 absolute error = 1.4e-31 relative error = 1.5719880532051703040909495895781e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.483 Order of pole = 0.1407 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 0.89073706093200771580770137817149 y[1] (numeric) = 0.89073706093200771580770137817135 absolute error = 1.4e-31 relative error = 1.5717320648308195332024311084603e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.484 Order of pole = 0.1407 TOP MAIN SOLVE Loop memory used=850.7MB, alloc=4.3MB, time=31.96 x[1] = 0.517 y[1] (analytic) = 0.89088185942544005643981339462349 y[1] (numeric) = 0.89088185942544005643981339462335 absolute error = 1.4e-31 relative error = 1.5714766051055383589644442567880e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.485 Order of pole = 0.1407 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.3MB, time=32.11 x[1] = 0.518 y[1] (analytic) = 0.89102640604906933565898320522682 y[1] (numeric) = 0.89102640604906933565898320522667 absolute error = 1.5e-31 relative error = 1.6834517920194995196940082534276e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.486 Order of pole = 0.1408 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 0.89117070137002672416515391876067 y[1] (numeric) = 0.89117070137002672416515391876053 absolute error = 1.4e-31 relative error = 1.5709672656963843887678236246290e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.488 Order of pole = 0.1408 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.3MB, time=32.25 x[1] = 0.52 y[1] (analytic) = 0.89131474595382105510519022414581 y[1] (numeric) = 0.89131474595382105510519022414566 absolute error = 1.5e-31 relative error = 1.6829071961496695339920634680028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.489 Order of pole = 0.1408 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 0.89145854036434460389412587583734 y[1] (numeric) = 0.8914585403643446038941258758372 absolute error = 1.4e-31 relative error = 1.5704600232197129043246968909749e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.49 Order of pole = 0.1409 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.3MB, time=32.39 x[1] = 0.522 y[1] (analytic) = 0.89160208516387884288875056758699 y[1] (numeric) = 0.89160208516387884288875056758686 absolute error = 1.3e-31 relative error = 1.4580495286314371173474677263369e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.491 Order of pole = 0.1409 TOP MAIN SOLVE Loop x[1] = 0.523 y[1] (analytic) = 0.89174538091310017104463788679052 y[1] (numeric) = 0.89174538091310017104463788679039 absolute error = 1.3e-31 relative error = 1.4578152327168419551046880948174e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.492 Order of pole = 0.1409 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.3MB, time=32.54 x[1] = 0.524 y[1] (analytic) = 0.89188842817108561868691205636013 y[1] (numeric) = 0.89188842817108561868691205636 absolute error = 1.3e-31 relative error = 1.4575814181890347177848822870968e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.493 Order of pole = 0.1409 TOP MAIN SOLVE Loop x[1] = 0.525 y[1] (analytic) = 0.89203122749531852752425288590883 y[1] (numeric) = 0.89203122749531852752425288590869 absolute error = 1.4e-31 relative error = 1.5694517824571868425106065780766e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.494 Order of pole = 0.141 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.3MB, time=32.68 x[1] = 0.526 y[1] (analytic) = 0.89217377944169420603484572301388 y[1] (numeric) = 0.89217377944169420603484572301375 absolute error = 1.3e-31 relative error = 1.4571152279475371650554071356462e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.495 Order of pole = 0.141 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 0.89231608456452556035219617286612 y[1] (numeric) = 0.89231608456452556035219617286598 absolute error = 1.4e-31 relative error = 1.5689507610783884429423980963266e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.496 Order of pole = 0.141 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.3MB, time=32.83 x[1] = 0.528 y[1] (analytic) = 0.89245814341654870077794789554731 y[1] (numeric) = 0.89245814341654870077794789554719 absolute error = 1.2e-31 relative error = 1.3446008743963113267322429613001e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.497 Order of pole = 0.141 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 0.89259995654892852404806584975777 y[1] (numeric) = 0.89259995654892852404806584975765 absolute error = 1.2e-31 relative error = 1.3443872489525727600231077910937e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.498 Order of pole = 0.1411 TOP MAIN SOLVE Loop memory used=877.4MB, alloc=4.3MB, time=32.97 x[1] = 0.53 y[1] (analytic) = 0.89274152451126427147797688568788 y[1] (numeric) = 0.89274152451126427147797688568776 absolute error = 1.2e-31 relative error = 1.3441740605232246687866616248851e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.5 Order of pole = 0.1411 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 0.89288284785159506311149455394451 y[1] (numeric) = 0.89288284785159506311149455394439 absolute error = 1.2e-31 relative error = 1.3439613078998808285759287540143e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.501 Order of pole = 0.1411 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.3MB, time=33.12 x[1] = 0.532 y[1] (analytic) = 0.89302392711640540799759534844864 y[1] (numeric) = 0.89302392711640540799759534844851 absolute error = 1.3e-31 relative error = 1.4557280723683738205173604916117e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.502 Order of pole = 0.1411 TOP MAIN SOLVE Loop x[1] = 0.533 y[1] (analytic) = 0.89316476285063069071835929585547 y[1] (numeric) = 0.89316476285063069071835929585535 memory used=885.0MB, alloc=4.3MB, time=33.26 absolute error = 1.2e-31 relative error = 1.3435371052593609869121602961918e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.503 Order of pole = 0.1412 TOP MAIN SOLVE Loop x[1] = 0.534 y[1] (analytic) = 0.89330535559766263429063879953789 y[1] (numeric) = 0.89330535559766263429063879953776 absolute error = 1.3e-31 relative error = 1.4552694572509753090830558489654e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.504 Order of pole = 0.1412 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.3MB, time=33.40 x[1] = 0.535 y[1] (analytic) = 0.89344570589935473956327590012871 y[1] (numeric) = 0.89344570589935473956327590012858 absolute error = 1.3e-31 relative error = 1.4550408507379887338879856610042e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.505 Order of pole = 0.1412 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 0.89358581429602770123094958503016 y[1] (numeric) = 0.89358581429602770123094958503003 absolute error = 1.3e-31 relative error = 1.4548127098729156165573957916724e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.506 Order of pole = 0.1413 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.3MB, time=33.55 x[1] = 0.537 y[1] (analytic) = 0.89372568132647480058500142453501 y[1] (numeric) = 0.89372568132647480058500142453488 absolute error = 1.3e-31 relative error = 1.4545850333745916397081830668723e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.507 Order of pole = 0.1413 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 0.8938653075279672751208595910071 y[1] (numeric) = 0.89386530752796727512085959100697 absolute error = 1.3e-31 relative error = 1.4543578199664333373010174430418e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.508 Order of pole = 0.1413 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.3MB, time=33.69 x[1] = 0.539 y[1] (analytic) = 0.89400469343625966512095818904675 y[1] (numeric) = 0.89400469343625966512095818904661 absolute error = 1.4e-31 relative error = 1.5659873044053728507624736009246e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.509 Order of pole = 0.1413 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 0.8941438395855951373313307481963 y[1] (numeric) = 0.89414383958559513733133074819616 absolute error = 1.4e-31 relative error = 1.5657436063629893867738344476171e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.51 Order of pole = 0.1414 TOP MAIN SOLVE Loop memory used=900.3MB, alloc=4.3MB, time=33.84 x[1] = 0.541 y[1] (analytic) = 0.89428274650871078584934366535907 y[1] (numeric) = 0.89428274650871078584934366535894 absolute error = 1.3e-31 relative error = 1.4536789455854019587878808086785e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.512 Order of pole = 0.1414 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 0.89442141473684291033932729190766 y[1] (numeric) = 0.89442141473684291033932729190753 absolute error = 1.3e-31 relative error = 1.4534535718629753648378041253614e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.513 Order of pole = 0.1414 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.3MB, time=33.98 x[1] = 0.543 y[1] (analytic) = 0.89455984479973227169215920099536 y[1] (numeric) = 0.89455984479973227169215920099522 absolute error = 1.4e-31 relative error = 1.5650154745247056040724478140742e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.514 Order of pole = 0.1414 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 0.89469803722562932524415590475917 y[1] (numeric) = 0.89469803722562932524415590475904 absolute error = 1.3e-31 relative error = 1.4530041934943461200920705050410e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.515 Order of pole = 0.1414 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.3MB, time=34.12 x[1] = 0.545 y[1] (analytic) = 0.89483599254129943166993588016447 y[1] (numeric) = 0.89483599254129943166993588016433 absolute error = 1.4e-31 relative error = 1.5645325083807306695642739570903e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.516 Order of pole = 0.1415 TOP MAIN SOLVE Loop x[1] = 0.546 y[1] (analytic) = 0.8949737112720280456632281677831 y[1] (numeric) = 0.89497371127202804566322816778298 absolute error = 1.2e-31 relative error = 1.3408215066948027325358921182862e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.517 Order of pole = 0.1415 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.3MB, time=34.27 x[1] = 0.547 y[1] (analytic) = 0.89511119394162588251891699175541 y[1] (numeric) = 0.89511119394162588251891699175528 absolute error = 1.3e-31 relative error = 1.4523335299555852589408498920799e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.518 Order of pole = 0.1415 TOP MAIN SOLVE Loop x[1] = 0.548 y[1] (analytic) = 0.8952484410724340627289337738319 y[1] (numeric) = 0.89524844107243406272893377383177 absolute error = 1.3e-31 relative error = 1.4521108782303008886858248912153e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.519 Order of pole = 0.1415 memory used=915.5MB, alloc=4.3MB, time=34.41 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 0.89538545318532923470393354233341 y[1] (numeric) = 0.89538545318532923470393354233328 absolute error = 1.3e-31 relative error = 1.4518886758493300905007401502311e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.52 Order of pole = 0.1416 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.3MB, time=34.55 x[1] = 0.55 y[1] (analytic) = 0.89552223079972867573202303104263 y[1] (numeric) = 0.89552223079972867573202303104248 absolute error = 1.5e-31 relative error = 1.6750002941417258094366775952519e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.521 Order of pole = 0.1416 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 0.89565877443359537128514268671484 y[1] (numeric) = 0.8956587744335953712851426867147 absolute error = 1.4e-31 relative error = 1.5630952768651704438878120313793e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.522 Order of pole = 0.1416 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.3MB, time=34.70 x[1] = 0.552 y[1] (analytic) = 0.89579508460344307278304432065969 y[1] (numeric) = 0.89579508460344307278304432065955 absolute error = 1.4e-31 relative error = 1.5628574258361352121816776655273e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.523 Order of pole = 0.1416 TOP MAIN SOLVE Loop x[1] = 0.553 y[1] (analytic) = 0.89593116182434133392415021361015 y[1] (numeric) = 0.89593116182434133392415021361 absolute error = 1.5e-31 relative error = 1.6742357715805112517476021709362e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.525 Order of pole = 0.1417 TOP MAIN SOLVE Loop memory used=927.0MB, alloc=4.3MB, time=34.84 x[1] = 0.554 y[1] (analytic) = 0.89606700660992052569192807809159 y[1] (numeric) = 0.89606700660992052569192807809145 absolute error = 1.4e-31 relative error = 1.5623831584834298012815924568364e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.526 Order of pole = 0.1417 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 0.89620261947237683014476936327592 y[1] (numeric) = 0.89620261947237683014476936327579 absolute error = 1.3e-31 relative error = 1.4505648295977438823743609512045e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.527 Order of pole = 0.1417 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.3MB, time=34.99 x[1] = 0.556 y[1] (analytic) = 0.89633800092247721309671591871061 y[1] (numeric) = 0.89633800092247721309671591871047 absolute error = 1.4e-31 relative error = 1.5619107954356201369582393891674e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.528 Order of pole = 0.1417 TOP MAIN SOLVE Loop x[1] = 0.557 y[1] (analytic) = 0.89647315146956437579574198051755 y[1] (numeric) = 0.89647315146956437579574198051741 absolute error = 1.4e-31 relative error = 1.5616753248047836972112833865821e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.529 Order of pole = 0.1418 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.3MB, time=35.13 x[1] = 0.558 y[1] (analytic) = 0.89660807162156168570566477213216 y[1] (numeric) = 0.89660807162156168570566477213201 absolute error = 1.5e-31 relative error = 1.6729717782789676018373932846727e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.53 Order of pole = 0.1418 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 0.89674276188497808649712768717498 y[1] (numeric) = 0.89674276188497808649712768717483 absolute error = 1.5e-31 relative error = 1.6727204988495903940545650173387e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.531 Order of pole = 0.1418 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.3MB, time=35.27 x[1] = 0.56 y[1] (analytic) = 0.89687722276491298735247501069154 y[1] (numeric) = 0.8968772227649129873524750106914 absolute error = 1.4e-31 relative error = 1.5609717411309085986785852552474e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.532 Order of pole = 0.1418 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 0.89701145476506113168871640313269 y[1] (numeric) = 0.89701145476506113168871640313255 absolute error = 1.4e-31 relative error = 1.5607381517404123396619688547625e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.533 Order of pole = 0.1418 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.3MB, time=35.41 x[1] = 0.562 y[1] (analytic) = 0.89714545838771744540216288574435 y[1] (numeric) = 0.89714545838771744540216288574421 absolute error = 1.4e-31 relative error = 1.5605050294920681373255177179431e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.534 Order of pole = 0.1419 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 0.89727923413378186473770379344989 y[1] (numeric) = 0.89727923413378186473770379344974 absolute error = 1.5e-31 relative error = 1.6717203997795341016411333312167e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.535 Order of pole = 0.1419 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.3MB, time=35.56 x[1] = 0.564 y[1] (analytic) = 0.89741278250276414388508606908658 y[1] (numeric) = 0.89741278250276414388508606908644 absolute error = 1.4e-31 relative error = 1.5600401813929899360132125205750e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.536 Order of pole = 0.1419 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.3MB, time=35.70 x[1] = 0.565 y[1] (analytic) = 0.89754610399278864240395332853233 y[1] (numeric) = 0.89754610399278864240395332853219 absolute error = 1.4e-31 relative error = 1.5598084530388071703291569409122e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.538 Order of pole = 0.1419 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 0.89767919910059909257880229764429 y[1] (numeric) = 0.89767919910059909257880229764413 absolute error = 1.6e-31 relative error = 1.7823739277941036486329427416365e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.539 Order of pole = 0.142 TOP MAIN SOLVE Loop memory used=953.7MB, alloc=4.3MB, time=35.84 x[1] = 0.567 y[1] (analytic) = 0.89781206832156334680441847712396 y[1] (numeric) = 0.89781206832156334680441847712382 absolute error = 1.4e-31 relative error = 1.5593463814952544820761157825191e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.54 Order of pole = 0.142 TOP MAIN SOLVE Loop x[1] = 0.568 y[1] (analytic) = 0.8979447121496781051017611987956 y[1] (numeric) = 0.89794471214967810510176119879546 absolute error = 1.4e-31 relative error = 1.5591160358285338018933791980912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.541 Order of pole = 0.142 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.3MB, time=35.99 x[1] = 0.569 y[1] (analytic) = 0.89807713107757362286368056498361 y[1] (numeric) = 0.89807713107757362286368056498348 absolute error = 1.3e-31 relative error = 1.4475371379740759705166431765020e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.542 Order of pole = 0.142 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = 0.89820932559651839892926508062313 y[1] (numeric) = 0.898209325596518398929265080623 absolute error = 1.3e-31 relative error = 1.4473240957909722743604592765423e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.543 Order of pole = 0.142 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.3MB, time=36.14 x[1] = 0.571 y[1] (analytic) = 0.89834129619642384408503906462117 y[1] (numeric) = 0.89834129619642384408503906462102 absolute error = 1.5e-31 relative error = 1.6697440119373321813063949994690e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.544 Order of pole = 0.1421 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 0.8984730433658489300906531322645 y[1] (numeric) = 0.89847304336584893009065313226435 absolute error = 1.5e-31 relative error = 1.6694991698145088532568564870163e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.545 Order of pole = 0.1421 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.3MB, time=36.28 x[1] = 0.573 y[1] (analytic) = 0.89860456759200481932613914386382 y[1] (numeric) = 0.89860456759200481932613914386367 absolute error = 1.5e-31 relative error = 1.6692548136268186868112891907455e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.546 Order of pole = 0.1421 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 0.89873586936075947515723298631415 y[1] (numeric) = 0.89873586936075947515723298631401 absolute error = 1.4e-31 relative error = 1.5577435459383331410551723334171e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.547 Order of pole = 0.1421 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.3MB, time=36.42 x[1] = 0.575 y[1] (analytic) = 0.89886694915664225311470436408386 y[1] (numeric) = 0.89886694915664225311470436408372 absolute error = 1.4e-31 relative error = 1.5575163836133295456252690105410e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.548 Order of pole = 0.1421 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 0.89899780746284847298307239481506 y[1] (numeric) = 0.89899780746284847298307239481492 absolute error = 1.4e-31 relative error = 1.5572896712074080217298464617580e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.549 Order of pole = 0.1422 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.3MB, time=36.57 x[1] = 0.577 y[1] (analytic) = 0.89912844476124397189352920298362 y[1] (numeric) = 0.89912844476124397189352920298349 absolute error = 1.3e-31 relative error = 1.4458445926991044224076974866453e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.551 Order of pole = 0.1422 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 0.89925886153236963851534085393029 y[1] (numeric) = 0.89925886153236963851534085393015 absolute error = 1.4e-31 relative error = 1.5568375913631246767986191414354e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.552 Order of pole = 0.1422 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.3MB, time=36.71 x[1] = 0.579 y[1] (analytic) = 0.8993890582554459284394458412931 y[1] (numeric) = 0.89938905825544592843944584129295 absolute error = 1.5e-31 relative error = 1.6677988087931214133557307408458e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.553 Order of pole = 0.1422 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 0.8995190354083773608474259049472 y[1] (numeric) = 0.89951903540837736084742590494706 absolute error = 1.4e-31 relative error = 1.5563872968673827599977793075456e-29 % Correct digits = 30 h = 0.001 memory used=980.4MB, alloc=4.3MB, time=36.86 Complex estimate of poles used for equation 1 Radius of convergence = 1.554 Order of pole = 0.1422 TOP MAIN SOLVE Loop x[1] = 0.581 y[1] (analytic) = 0.89964879346775699655848218573814 y[1] (numeric) = 0.899648793467756996558482185738 absolute error = 1.4e-31 relative error = 1.5561628161625221620853429797740e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.555 Order of pole = 0.1423 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.3MB, time=37.00 x[1] = 0.582 y[1] (analytic) = 0.89977833290887089754651158956966 y[1] (numeric) = 0.89977833290887089754651158956952 absolute error = 1.4e-31 relative error = 1.5559387782477212688497714425971e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.556 Order of pole = 0.1423 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 0.89990765420570256801884370900705 y[1] (numeric) = 0.89990765420570256801884370900691 absolute error = 1.4e-31 relative error = 1.5557151819490862914331543849855e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.557 Order of pole = 0.1423 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.3MB, time=37.15 x[1] = 0.584 y[1] (analytic) = 0.90003675783093737714766770794936 y[1] (numeric) = 0.90003675783093737714766770794921 absolute error = 1.5e-31 relative error = 1.6665985993893813061963767114601e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.558 Order of pole = 0.1423 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 0.90016564425596696354465118681351 y[1] (numeric) = 0.90016564425596696354465118681336 absolute error = 1.5e-31 relative error = 1.6663599744909470208098831667079e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.559 Order of pole = 0.1423 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.3MB, time=37.29 x[1] = 0.586 y[1] (analytic) = 0.9002943139508936215687291849965 y[1] (numeric) = 0.90029431395089362156872918499636 absolute error = 1.4e-31 relative error = 1.5550470310716221273238289292545e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.56 Order of pole = 0.1423 TOP MAIN SOLVE Loop x[1] = 0.587 y[1] (analytic) = 0.90042276738453466955652111730785 y[1] (numeric) = 0.9004227673845346695565211173077 absolute error = 1.5e-31 relative error = 1.6658841316918964532361768781197e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.561 Order of pole = 0.1424 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.3MB, time=37.44 x[1] = 0.588 y[1] (analytic) = 0.90055100502442680006431655498972 y[1] (numeric) = 0.90055100502442680006431655498958 absolute error = 1.4e-31 relative error = 1.5546037838934242310812871118146e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.562 Order of pole = 0.1424 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 0.90067902733683041221005732349288 y[1] (numeric) = 0.90067902733683041221005732349274 absolute error = 1.4e-31 relative error = 1.5543828128646284070857784279912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.563 Order of pole = 0.1424 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.3MB, time=37.58 x[1] = 0.59 y[1] (analytic) = 0.90080683478673392620323337219873 y[1] (numeric) = 0.90080683478673392620323337219859 absolute error = 1.4e-31 relative error = 1.5541622753466897112367468475624e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.565 Order of pole = 0.1424 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 0.90093442783785808015010324984688 y[1] (numeric) = 0.90093442783785808015010324984673 absolute error = 1.5e-31 relative error = 1.6649380394973165018788893723352e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.566 Order of pole = 0.1424 TOP MAIN SOLVE Loop memory used=1003.3MB, alloc=4.3MB, time=37.72 x[1] = 0.592 y[1] (analytic) = 0.90106180695266020922114676783212 y[1] (numeric) = 0.90106180695266020922114676783197 absolute error = 1.5e-31 relative error = 1.6647026745844601937765027716188e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.567 Order of pole = 0.1425 TOP MAIN SOLVE Loop x[1] = 0.593 y[1] (analytic) = 0.90118897259233850726715752628788 y[1] (numeric) = 0.90118897259233850726715752628774 absolute error = 1.4e-31 relative error = 1.5535032524563562928345818071505e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.568 Order of pole = 0.1425 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.3MB, time=37.87 x[1] = 0.594 y[1] (analytic) = 0.90131592521683627096988638970035 y[1] (numeric) = 0.9013159252168362709698863897002 absolute error = 1.5e-31 relative error = 1.6642333259995754003419398103205e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.569 Order of pole = 0.1425 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 0.90144266528484612661265370464027 y[1] (numeric) = 0.90144266528484612661265370464013 absolute error = 1.4e-31 relative error = 1.5530660505819470516387425121081e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.57 Order of pole = 0.1425 memory used=1010.9MB, alloc=4.3MB, time=38.01 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 0.90156919325381423955585802721207 y[1] (numeric) = 0.90156919325381423955585802721193 absolute error = 1.4e-31 relative error = 1.5528480902805926320284825976849e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.571 Order of pole = 0.1425 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.3MB, time=38.16 x[1] = 0.597 y[1] (analytic) = 0.90169550957994450650182234736426 y[1] (numeric) = 0.90169550957994450650182234736412 absolute error = 1.4e-31 relative error = 1.5526305555765615315563258144320e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.572 Order of pole = 0.1425 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 0.90182161471820273063293523685615 y[1] (numeric) = 0.901821614718202730632935236856 absolute error = 1.5e-31 relative error = 1.6633001200228644242025117981796e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.573 Order of pole = 0.1426 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.3MB, time=38.30 x[1] = 0.599 y[1] (analytic) = 0.90194750912232077970656398320909 y[1] (numeric) = 0.90194750912232077970656398320895 absolute error = 1.4e-31 relative error = 1.5521967585035306996361435997464e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.574 Order of pole = 0.1426 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 0.90207319324480072718973957937136 y[1] (numeric) = 0.90207319324480072718973957937124 absolute error = 1.2e-31 relative error = 1.3302689947847160809253064849469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.575 Order of pole = 0.1426 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.3MB, time=38.44 x[1] = 0.601 y[1] (analytic) = 0.90219866753691897651613939427787 y[1] (numeric) = 0.90219866753691897651613939427774 absolute error = 1.3e-31 relative error = 1.4409243183090852314197335221701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.576 Order of pole = 0.1426 TOP MAIN SOLVE Loop x[1] = 0.602 y[1] (analytic) = 0.90232393244873036854742242937646 y[1] (numeric) = 0.90232393244873036854742242937634 absolute error = 1.2e-31 relative error = 1.3298993375288574083167538976128e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.577 Order of pole = 0.1426 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.3MB, time=38.59 x[1] = 0.603 y[1] (analytic) = 0.90244898842907227232050424710665 y[1] (numeric) = 0.90244898842907227232050424710653 absolute error = 1.2e-31 relative error = 1.3297150480371042787406297213138e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.579 Order of pole = 0.1426 TOP MAIN SOLVE Loop x[1] = 0.604 y[1] (analytic) = 0.90257383592556865916189391603391 y[1] (numeric) = 0.90257383592556865916189391603378 absolute error = 1.3e-31 relative error = 1.4403253764462161398306274037701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.58 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1030.0MB, alloc=4.3MB, time=38.73 x[1] = 0.605 y[1] (analytic) = 0.90269847538463416024975363084343 y[1] (numeric) = 0.90269847538463416024975363084332 absolute error = 1.1e-31 relative error = 1.2185685807559350282874985890549e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.581 Order of pole = 0.1427 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 0.90282290725147810770388301084833 y[1] (numeric) = 0.9028229072514781077038830108482 absolute error = 1.3e-31 relative error = 1.4399280186162684800470832250222e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.582 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.3MB, time=38.88 x[1] = 0.607 y[1] (analytic) = 0.90294713197010855928337443543138 y[1] (numeric) = 0.90294713197010855928337443543127 absolute error = 1.1e-31 relative error = 1.2182330072857629273873355212346e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.583 Order of pole = 0.1427 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 0.90307114998333630677123311646961 y[1] (numeric) = 0.90307114998333630677123311646949 absolute error = 1.2e-31 relative error = 1.3287989545697951907129988703618e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.584 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.3MB, time=39.02 x[1] = 0.609 y[1] (analytic) = 0.90319496173277886812480591402157 y[1] (numeric) = 0.90319496173277886812480591402145 absolute error = 1.2e-31 relative error = 1.3286168001843155599595244182132e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.585 Order of pole = 0.1427 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (analytic) = 0.90331856765886446347041615031993 y[1] (numeric) = 0.90331856765886446347041615031981 absolute error = 1.2e-31 relative error = 1.3284349984192690545141481273664e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.586 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.3MB, time=39.17 x[1] = 0.611 y[1] (analytic) = 0.90344196820083597502015784650989 y[1] (numeric) = 0.90344196820083597502015784650977 absolute error = 1.2e-31 relative error = 1.3282535483598863580147052026754e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.587 Order of pole = 0.1428 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.3MB, time=39.31 x[1] = 0.612 y[1] (analytic) = 0.90356516379675489098836187490467 y[1] (numeric) = 0.90356516379675489098836187490455 absolute error = 1.2e-31 relative error = 1.3280724490944675570643826671816e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.588 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 0.90368815488350523358480846526338 y[1] (numeric) = 0.90368815488350523358480846526327 absolute error = 1.1e-31 relative error = 1.2172340580715052055403511257615e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.589 Order of pole = 0.1428 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.3MB, time=39.46 x[1] = 0.614 y[1] (analytic) = 0.90381094189679747116132530538751 y[1] (numeric) = 0.90381094189679747116132530538739 absolute error = 1.2e-31 relative error = 1.3277112993139921110369634362280e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.59 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 0.90393352527117241458797811301086 y[1] (numeric) = 0.90393352527117241458797811301074 absolute error = 1.2e-31 relative error = 1.3275312469907675415761618228170e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.591 Order of pole = 0.1428 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.3MB, time=39.60 x[1] = 0.616 y[1] (analytic) = 0.90405590544000509793463100653049 y[1] (numeric) = 0.90405590544000509793463100653037 absolute error = 1.2e-31 relative error = 1.3273515418451456880166533561778e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.592 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.617 y[1] (analytic) = 0.90417808283550864353322724577319 y[1] (numeric) = 0.90417808283550864353322724577308 absolute error = 1.1e-31 relative error = 1.2165745010655340004775994588968e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.594 Order of pole = 0.1428 TOP MAIN SOLVE Loop memory used=1056.7MB, alloc=4.3MB, time=39.74 x[1] = 0.618 y[1] (analytic) = 0.90430005788873811149571693006869 y[1] (numeric) = 0.90430005788873811149571693006858 absolute error = 1.1e-31 relative error = 1.2164104053782335585105566733751e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.595 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 0.90442183102959433376213700893033 y[1] (numeric) = 0.90442183102959433376213700893023 absolute error = 1.0e-31 relative error = 1.1056787504361758092346282850394e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.596 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.3MB, time=39.89 x[1] = 0.62 y[1] (analytic) = 0.90454340268682773275293046032288 y[1] (numeric) = 0.90454340268682773275293046032277 absolute error = 1.1e-31 relative error = 1.2160831605565791966231232305602e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.597 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.621 y[1] (analytic) = 0.90466477328804212469917570268624 y[1] (numeric) = 0.90466477328804212469917570268613 absolute error = 1.1e-31 relative error = 1.2159200097976665848506931742718e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.598 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.3MB, time=40.03 x[1] = 0.622 y[1] (analytic) = 0.90478594325969850772398420961498 y[1] (numeric) = 0.90478594325969850772398420961486 absolute error = 1.2e-31 relative error = 1.3262805517034507242551969700640e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.599 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 0.90490691302711883474791387055814 y[1] (numeric) = 0.90490691302711883474791387055803 absolute error = 1.1e-31 relative error = 1.2155946475425306974451697046576e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.6 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.3MB, time=40.18 x[1] = 0.624 y[1] (analytic) = 0.90502768301448977129083786746299 y[1] (numeric) = 0.90502768301448977129083786746287 absolute error = 1.2e-31 relative error = 1.3259262921140807040692017036466e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.601 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.625 y[1] (analytic) = 0.9051482536448664382423036964565 y[1] (numeric) = 0.90514825364486643824230369645638 absolute error = 1.2e-31 relative error = 1.3257496715790142847327985470394e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.602 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.3MB, time=40.32 x[1] = 0.626 y[1] (analytic) = 0.90526862534017613967201443612385 y[1] (numeric) = 0.90526862534017613967201443612374 absolute error = 1.1e-31 relative error = 1.2151089402735557430997782058160e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.603 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.3MB, time=40.46 x[1] = 0.627 y[1] (analytic) = 0.9053887985212220757516644305397 y[1] (numeric) = 0.90538879852122207575166443053958 absolute error = 1.2e-31 relative error = 1.3253974446778759379890689585450e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.604 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 0.90550877360768704085896419693525 y[1] (numeric) = 0.90550877360768704085896419693513 absolute error = 1.2e-31 relative error = 1.3252218365803506838545062446868e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.605 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.3MB, time=40.61 x[1] = 0.629 y[1] (analytic) = 0.90562855101813710693429456589517 y[1] (numeric) = 0.90562855101813710693429456589505 absolute error = 1.2e-31 relative error = 1.3250465642353268616986703892484e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.606 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 0.90574813117002529216003779757934 y[1] (numeric) = 0.90574813117002529216003779757923 absolute error = 1.1e-31 relative error = 1.2144656578855365274826928019511e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.607 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1083.4MB, alloc=4.3MB, time=40.75 x[1] = 0.631 y[1] (analytic) = 0.90586751447969521503224367211958 y[1] (numeric) = 0.90586751447969521503224367211945 absolute error = 1.3e-31 relative error = 1.4350884419855627378546747779530e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.609 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 0.90598670136238473389390130766158 y[1] (numeric) = 0.90598670136238473389390130766146 absolute error = 1.2e-31 relative error = 1.3245227531436062156564003800091e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.61 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.3MB, time=40.89 x[1] = 0.633 y[1] (analytic) = 0.90610569223222957199870269727362 y[1] (numeric) = 0.9061056922322295719987026972735 absolute error = 1.2e-31 relative error = 1.3243488152510657017892963648421e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.611 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 0.9062244875022669281738016580364 y[1] (numeric) = 0.90622448750226692817380165803628 absolute error = 1.2e-31 relative error = 1.3241752088463601464002775489532e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.612 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.3MB, time=41.04 x[1] = 0.635 y[1] (analytic) = 0.90634308758443907314969203412721 y[1] (numeric) = 0.90634308758443907314969203412708 absolute error = 1.3e-31 relative error = 1.4343354275087203618303056407062e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.613 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 0.90646149288959693162495157282049 y[1] (numeric) = 0.90646149288959693162495157282038 absolute error = 1.1e-31 relative error = 1.2135099048647345210510556098336e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.614 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.3MB, time=41.18 x[1] = 0.637 y[1] (analytic) = 0.90657970382750365013322288040115 y[1] (numeric) = 0.90657970382750365013322288040103 absolute error = 1.2e-31 relative error = 1.3236563701279660374185719252423e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.615 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 0.90669772080683815077943024652071 y[1] (numeric) = 0.90669772080683815077943024652059 absolute error = 1.2e-31 relative error = 1.3234840812571609326341518484691e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.616 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.3MB, time=41.33 x[1] = 0.639 y[1] (analytic) = 0.90681554423519867091186088316191 y[1] (numeric) = 0.90681554423519867091186088316179 absolute error = 1.2e-31 relative error = 1.3233121196792792826783261756769e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.617 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 0.90693317451910628879637124089087 y[1] (numeric) = 0.90693317451910628879637124089075 absolute error = 1.2e-31 relative error = 1.3231404845635842332766685840996e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.618 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.3MB, time=41.48 x[1] = 0.641 y[1] (analytic) = 0.90705061206400843535861352339189 y[1] (numeric) = 0.90705061206400843535861352339175 absolute error = 1.4e-31 relative error = 1.5434640375957381327704881838508e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.619 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 0.90716785727428239205981430445428 y[1] (numeric) = 0.90716785727428239205981430445416 absolute error = 1.2e-31 relative error = 1.3227981904094070521307217355996e-29 % Correct digits = 30 h = 0.001 memory used=1106.3MB, alloc=4.3MB, time=41.62 Complex estimate of poles used for equation 1 Radius of convergence = 1.62 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 0.90728491055323877497127624281236 y[1] (numeric) = 0.90728491055323877497127624281222 absolute error = 1.4e-31 relative error = 1.5430654513435215846345451195477e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.621 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.3MB, time=41.76 x[1] = 0.644 y[1] (analytic) = 0.90740177230312500511241527285883 y[1] (numeric) = 0.9074017723031250051124152728587 absolute error = 1.3e-31 relative error = 1.4326619582198968161043341025910e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.622 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 0.90751844292512876511678930673033 y[1] (numeric) = 0.9075184429251287651167893067302 absolute error = 1.3e-31 relative error = 1.4324777751180659806886632986290e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.623 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.3MB, time=41.91 x[1] = 0.646 y[1] (analytic) = 0.90763492281938144229022039919814 y[1] (numeric) = 0.90763492281938144229022039919802 absolute error = 1.2e-31 relative error = 1.3221174833956878860354435982581e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.625 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 0.90775121238496155812476048492681 y[1] (numeric) = 0.90775121238496155812476048492667 absolute error = 1.4e-31 relative error = 1.5422727955622760011990113902361e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.626 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.3MB, time=42.05 x[1] = 0.648 y[1] (analytic) = 0.90786731201989818433190118184959 y[1] (numeric) = 0.90786731201989818433190118184947 absolute error = 1.2e-31 relative error = 1.3217790574815838249589768654622e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.627 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 0.90798322212117434545808074865233 y[1] (numeric) = 0.90798322212117434545808074865221 absolute error = 1.2e-31 relative error = 1.3216103235879558290875413951928e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.628 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.3MB, time=42.20 x[1] = 0.65 y[1] (analytic) = 0.90809894308473040814519607277722 y[1] (numeric) = 0.90809894308473040814519607277709 absolute error = 1.3e-31 relative error = 1.4315620669968153038343304343442e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.629 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 0.90821447530546745709848453221266 y[1] (numeric) = 0.90821447530546745709848453221253 absolute error = 1.3e-31 relative error = 1.4313799607331296974243030313134e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.63 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.3MB, time=42.34 x[1] = 0.652 y[1] (analytic) = 0.90832981917725065782379970400056 y[1] (numeric) = 0.90832981917725065782379970400043 absolute error = 1.3e-31 relative error = 1.4311981975638731926355123057139e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.631 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 0.90844497509291260619596616937563 y[1] (numeric) = 0.9084449750929126061959661693755 absolute error = 1.3e-31 relative error = 1.4310167766264990367451602776621e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.632 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.3MB, time=42.48 x[1] = 0.654 y[1] (analytic) = 0.90855994344425666491956207438224 y[1] (numeric) = 0.90855994344425666491956207438212 absolute error = 1.2e-31 relative error = 1.3207714126719303286357514506211e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.633 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 0.90867472462206028694314363044541 y[1] (numeric) = 0.90867472462206028694314363044527 absolute error = 1.4e-31 relative error = 1.5407053393966622477330829634528e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.634 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1133.0MB, alloc=4.3MB, time=42.63 x[1] = 0.656 y[1] (analytic) = 0.90878931901607832588759336658009 y[1] (numeric) = 0.90878931901607832588759336657995 absolute error = 1.4e-31 relative error = 1.5405110631314881915921032235890e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.635 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.657 y[1] (analytic) = 0.90890372701504633354894365870423 y[1] (numeric) = 0.90890372701504633354894365870409 absolute error = 1.4e-31 relative error = 1.5403171517381442912311757077349e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.636 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.3MB, time=42.77 x[1] = 0.658 y[1] (analytic) = 0.90901794900668384453569884699102 y[1] (numeric) = 0.90901794900668384453569884699088 absolute error = 1.4e-31 relative error = 1.5401236043026759345794620236064e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.637 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.3MB, time=42.92 x[1] = 0.659 y[1] (analytic) = 0.90913198537769764810035309459377 y[1] (numeric) = 0.90913198537769764810035309459363 absolute error = 1.4e-31 relative error = 1.5399304199140809045017401925316e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.638 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 0.9092458365137850472244770257535 y[1] (numeric) = 0.90924583651378504722447702575336 absolute error = 1.4e-31 relative error = 1.5397375976642975197202289879324e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.639 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.3MB, time=43.06 x[1] = 0.661 y[1] (analytic) = 0.90935950279963710501642409372847 y[1] (numeric) = 0.90935950279963710501642409372832 absolute error = 1.5e-31 relative error = 1.6495126464087780354415918720350e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.641 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 0.90947298461894187848038755475168 y[1] (numeric) = 0.90947298461894187848038755475155 absolute error = 1.3e-31 relative error = 1.4293992476804401091942887723993e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.642 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.3MB, time=43.21 x[1] = 0.663 y[1] (analytic) = 0.90958628235438763971522084903 y[1] (numeric) = 0.90958628235438763971522084902987 absolute error = 1.3e-31 relative error = 1.4292212022316995228278494127903e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.643 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.664 y[1] (analytic) = 0.90969939638766608460111809946156 y[1] (numeric) = 0.90969939638766608460111809946143 absolute error = 1.3e-31 relative error = 1.4290434897089986697317695916796e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.644 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.3MB, time=43.35 x[1] = 0.665 y[1] (analytic) = 0.90981232709947552903193731919721 y[1] (numeric) = 0.90981232709947552903193731919708 absolute error = 1.3e-31 relative error = 1.4288661092826265782869578086000e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.645 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 0.90992507486952409275063675644477 y[1] (numeric) = 0.90992507486952409275063675644464 absolute error = 1.3e-31 relative error = 1.4286890601255378101291687315070e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.646 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.3MB, time=43.50 x[1] = 0.667 y[1] (analytic) = 0.91003764007653287084498458516614 y[1] (numeric) = 0.910037640076532870844984585166 absolute error = 1.4e-31 relative error = 1.5383979061374450311103485793883e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.647 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.668 y[1] (analytic) = 0.9101500230982390929603938598064 y[1] (numeric) = 0.91015002309823909296039385980626 absolute error = 1.4e-31 relative error = 1.5382079486569302062627922254460e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.648 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1159.7MB, alloc=4.3MB, time=43.65 x[1] = 0.669 y[1] (analytic) = 0.91026222431139927028642827729217 y[1] (numeric) = 0.91026222431139927028642827729202 absolute error = 1.5e-31 relative error = 1.6478767985068579177059519959235e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.649 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 0.91037424409179233037321981672175 y[1] (numeric) = 0.91037424409179233037321981672162 absolute error = 1.3e-31 relative error = 1.4279841597418061469687793902274e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.65 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.3MB, time=43.79 x[1] = 0.671 y[1] (analytic) = 0.91048608281422273983373674302822 y[1] (numeric) = 0.91048608281422273983373674302809 absolute error = 1.3e-31 relative error = 1.4278087546180037531384619942657e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.651 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.672 y[1] (analytic) = 0.91059774085252361498753975211847 y[1] (numeric) = 0.91059774085252361498753975211834 absolute error = 1.3e-31 relative error = 1.4276336758565956662497158300664e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.652 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.3MB, time=43.93 x[1] = 0.673 y[1] (analytic) = 0.91070921857955982050136518837588 y[1] (numeric) = 0.91070921857955982050136518837575 absolute error = 1.3e-31 relative error = 1.4274589226488999510890329096198e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.653 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.3MB, time=44.08 x[1] = 0.674 y[1] (analytic) = 0.91082051636723105608157726785947 y[1] (numeric) = 0.91082051636723105608157726785933 absolute error = 1.4e-31 relative error = 1.5370756091264177241954790936666e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.654 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 0.91093163458647493127323607904542 y[1] (numeric) = 0.91093163458647493127323607904528 absolute error = 1.4e-31 relative error = 1.5368881119553409319478500734691e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.655 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.3MB, time=44.22 x[1] = 0.676 y[1] (analytic) = 0.91104257360727002842023479464291 y[1] (numeric) = 0.91104257360727002842023479464278 absolute error = 1.3e-31 relative error = 1.4269366082999330540877217702631e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.656 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 0.91115333379863895384066800008389 y[1] (numeric) = 0.91115333379863895384066800008376 absolute error = 1.3e-31 relative error = 1.4267631492717498198376155071534e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.658 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.3MB, time=44.37 x[1] = 0.678 y[1] (analytic) = 0.91126391552865137727130331404542 y[1] (numeric) = 0.91126391552865137727130331404528 absolute error = 1.4e-31 relative error = 1.5363277050071912951890427144453e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.659 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.679 y[1] (analytic) = 0.91137431916442705963474053122171 y[1] (numeric) = 0.91137431916442705963474053122157 absolute error = 1.4e-31 relative error = 1.5361415946891704706928859035686e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.66 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.3MB, time=44.51 x[1] = 0.68 y[1] (analytic) = 0.91148454507213886918255634502923 y[1] (numeric) = 0.91148454507213886918255634502908 absolute error = 1.5e-31 relative error = 1.6456669595876509858806779946380e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.661 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 0.91159459361701578606744829560715 y[1] (numeric) = 0.91159459361701578606744829560701 absolute error = 1.4e-31 relative error = 1.5357704069361515126331662283410e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.662 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1186.4MB, alloc=4.3MB, time=44.65 x[1] = 0.682 y[1] (analytic) = 0.91170446516334589539710892407175 y[1] (numeric) = 0.91170446516334589539710892407161 absolute error = 1.4e-31 relative error = 1.5355853278059447034416738748235e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.663 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 0.91181416007447936882228018529394 y[1] (numeric) = 0.9118141600744793688222801852938 absolute error = 1.4e-31 relative error = 1.5354005907142792486511114619584e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.664 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.3MB, time=44.80 x[1] = 0.684 y[1] (analytic) = 0.91192367871283143471115896639166 y[1] (numeric) = 0.91192367871283143471115896639151 absolute error = 1.5e-31 relative error = 1.6448744944502710392406556287402e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.665 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 0.91203302143988533696204706465008 y[1] (numeric) = 0.91203302143988533696204706464994 absolute error = 1.4e-31 relative error = 1.5350321392856255696500386169472e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.666 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.3MB, time=44.95 x[1] = 0.686 y[1] (analytic) = 0.91214218861619528250586318478864 y[1] (numeric) = 0.9121421886161952825058631847885 absolute error = 1.4e-31 relative error = 1.5348484232748081620543363240660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.667 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.687 y[1] (analytic) = 0.91225118060138937754986040955853 y[1] (numeric) = 0.91225118060138937754986040955839 absolute error = 1.4e-31 relative error = 1.5346650459548528545237761391412e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.668 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.3MB, time=45.09 x[1] = 0.688 y[1] (analytic) = 0.912359997754172552613620167849 y[1] (numeric) = 0.91235999775417255261362016784886 absolute error = 1.4e-31 relative error = 1.5344820064954423776886203607441e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.669 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 0.91246864043232947640812295916308 y[1] (numeric) = 0.91246864043232947640812295916294 absolute error = 1.4e-31 relative error = 1.5342993040688797646991503962286e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.67 Order of pole = 0.1434 memory used=1201.6MB, alloc=4.3MB, time=45.24 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (analytic) = 0.91257710899272745860842698094616 y[1] (numeric) = 0.91257710899272745860842698094602 absolute error = 1.4e-31 relative error = 1.5341169378500780791884052678114e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.671 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.3MB, time=45.38 x[1] = 0.691 y[1] (analytic) = 0.91268540379131934157021833435347 y[1] (numeric) = 0.91268540379131934157021833435333 absolute error = 1.4e-31 relative error = 1.5339349070165501916853702748837e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.672 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 0.91279352518314638104023064325541 y[1] (numeric) = 0.91279352518314638104023064325528 absolute error = 1.3e-31 relative error = 1.4241994099806558467671110432895e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.673 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1209.3MB, alloc=4.3MB, time=45.52 x[1] = 0.693 y[1] (analytic) = 0.91290147352234111591026769932094 y[1] (numeric) = 0.91290147352234111591026769932081 absolute error = 1.3e-31 relative error = 1.4240310019262835140183945103530e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.675 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 0.91300924916213022706430013169397 y[1] (numeric) = 0.91300924916213022706430013169383 absolute error = 1.4e-31 relative error = 1.5333908186415217776127227501868e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.676 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.3MB, time=45.67 x[1] = 0.695 y[1] (analytic) = 0.91311685245483738536784608197927 y[1] (numeric) = 0.91311685245483738536784608197914 absolute error = 1.3e-31 relative error = 1.4236951125204403055527240486195e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.677 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.696 y[1] (analytic) = 0.9132242837518860888485864329609 y[1] (numeric) = 0.91322428375188608884858643296077 absolute error = 1.3e-31 relative error = 1.4235276296629854050484101197735e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.678 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.3MB, time=45.81 x[1] = 0.697 y[1] (analytic) = 0.91333154340380248911690728175072 y[1] (numeric) = 0.91333154340380248911690728175059 absolute error = 1.3e-31 relative error = 1.4233604537024552385183286149588e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.679 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 0.91343863176021820707480605405779 y[1] (numeric) = 0.91343863176021820707480605405766 absolute error = 1.3e-31 relative error = 1.4231935838917484160284517689732e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.68 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.3MB, time=45.96 x[1] = 0.699 y[1] (analytic) = 0.91354554916987313796134291521096 y[1] (numeric) = 0.91354554916987313796134291521083 absolute error = 1.3e-31 relative error = 1.4230270194861032975117900351227e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.681 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 0.91365229598061824578256593477462 y[1] (numeric) = 0.91365229598061824578256593477448 absolute error = 1.4e-31 relative error = 1.5323115874156341928262565821025e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.682 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.3MB, time=46.10 x[1] = 0.701 y[1] (analytic) = 0.91375887253941834717358679446761 y[1] (numeric) = 0.91375887253941834717358679446748 absolute error = 1.3e-31 relative error = 1.4226948039225958074589542514152e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.683 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.702 y[1] (analytic) = 0.91386527919235488474023368310888 y[1] (numeric) = 0.91386527919235488474023368310875 absolute error = 1.3e-31 relative error = 1.4225291512868272228828160850036e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.684 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.3MB, time=46.25 x[1] = 0.703 y[1] (analytic) = 0.91397151628462868992745938702942 y[1] (numeric) = 0.91397151628462868992745938702928 absolute error = 1.4e-31 relative error = 1.5317764011849276161347413412724e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.685 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 0.91407758416056273546143544945171 y[1] (numeric) = 0.91407758416056273546143544945157 absolute error = 1.4e-31 relative error = 1.5315986566782304225662790062124e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.686 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.3MB, time=46.39 x[1] = 0.705 y[1] (analytic) = 0.91418348316360487741201762746385 y[1] (numeric) = 0.91418348316360487741201762746371 absolute error = 1.4e-31 relative error = 1.5314212363093547779263996319392e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.687 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1236.0MB, alloc=4.3MB, time=46.53 x[1] = 0.706 y[1] (analytic) = 0.91428921363633058692202371020659 y[1] (numeric) = 0.91428921363633058692202371020644 absolute error = 1.5e-31 relative error = 1.6406187206717313928975529641896e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.688 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.707 y[1] (analytic) = 0.91439477592044567164952206662578 y[1] (numeric) = 0.91439477592044567164952206662564 absolute error = 1.4e-31 relative error = 1.5310673648487718786681696815836e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.689 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.3MB, time=46.68 x[1] = 0.708 y[1] (analytic) = 0.91450017035678898696908805557505 y[1] (numeric) = 0.9145001703567889869690880555749 absolute error = 1.5e-31 relative error = 1.6402402630660859671078472184386e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.69 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 0.91460539728533513697774564521659 y[1] (numeric) = 0.91460539728533513697774564521645 absolute error = 1.4e-31 relative error = 1.5307147805549558641151248337565e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.691 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.3MB, time=46.82 x[1] = 0.71 y[1] (analytic) = 0.91471045704519716535107324267231 y[1] (numeric) = 0.91471045704519716535107324267216 absolute error = 1.5e-31 relative error = 1.6398631812360300070829278419952e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.692 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 0.91481534997462923609471581890429 y[1] (numeric) = 0.91481534997462923609471581890415 absolute error = 1.4e-31 relative error = 1.5303634772184643496305340804469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.694 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.3MB, time=46.96 x[1] = 0.712 y[1] (analytic) = 0.91492007641102930423630991811684 y[1] (numeric) = 0.91492007641102930423630991811669 absolute error = 1.5e-31 relative error = 1.6394874685492447391634839322178e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.695 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.713 y[1] (analytic) = 0.91502463669094177650259405590143 y[1] (numeric) = 0.91502463669094177650259405590129 absolute error = 1.4e-31 relative error = 1.5300134486683370454128829621216e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.696 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.3MB, time=47.11 x[1] = 0.714 y[1] (analytic) = 0.91512903115006016202624432630316 y[1] (numeric) = 0.91512903115006016202624432630302 absolute error = 1.4e-31 relative error = 1.5298389105201844757269950730517e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.697 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 0.91523326012322971312674374544922 y[1] (numeric) = 0.91523326012322971312674374544908 absolute error = 1.4e-31 relative error = 1.5296646887717999444453552074978e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.698 Order of pole = 0.1434 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.3MB, time=47.25 x[1] = 0.716 y[1] (analytic) = 0.91533732394445005620936394890389 y[1] (numeric) = 0.91533732394445005620936394890376 absolute error = 1.3e-31 relative error = 1.4202414410437548509920835775167e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.699 Order of pole = 0.1434 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 0.91544122294687781282610932212309 y[1] (numeric) = 0.91544122294687781282610932212295 absolute error = 1.4e-31 relative error = 1.5293171914339722432311793269168e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.7 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.3MB, time=47.40 x[1] = 0.718 y[1] (analytic) = 0.91554495746282921094224646897242 y[1] (numeric) = 0.91554495746282921094224646897229 absolute error = 1.3e-31 relative error = 1.4199193490209130692541431778515e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.701 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.719 y[1] (analytic) = 0.91564852782378268645181610301385 y[1] (numeric) = 0.91564852782378268645181610301372 absolute error = 1.3e-31 relative error = 1.4197587398406062539110711715589e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.702 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1262.7MB, alloc=4.3MB, time=47.54 x[1] = 0.72 y[1] (analytic) = 0.91575193436038147498529997099316 y[1] (numeric) = 0.91575193436038147498529997099304 absolute error = 1.2e-31 relative error = 1.3103985424154797804289673828637e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.703 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.3MB, time=47.69 x[1] = 0.721 y[1] (analytic) = 0.91585517740243619405239227858272 y[1] (numeric) = 0.91585517740243619405239227858259 absolute error = 1.3e-31 relative error = 1.4194383916538876713375399401131e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.704 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 0.91595825727892741556260327592519 y[1] (numeric) = 0.91595825727892741556260327592505 absolute error = 1.4e-31 relative error = 1.5284539321246298835493529913512e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.705 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.3MB, time=47.83 x[1] = 0.723 y[1] (analytic) = 0.91606117431800822876620216592993 y[1] (numeric) = 0.9160611743180082287662021659298 absolute error = 1.3e-31 relative error = 1.4191191990729523234817274166437e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.706 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.724 y[1] (analytic) = 0.91616392884700679365778731270561 y[1] (numeric) = 0.91616392884700679365778731270547 absolute error = 1.4e-31 relative error = 1.5281108062854006686174470691138e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.707 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.3MB, time=47.98 x[1] = 0.725 y[1] (analytic) = 0.91626652119242888488455384214962 y[1] (numeric) = 0.91626652119242888488455384214948 absolute error = 1.4e-31 relative error = 1.5279397070822150730915306669428e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.708 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.726 y[1] (analytic) = 0.91636895167996042620111213280401 y[1] (numeric) = 0.91636895167996042620111213280386 absolute error = 1.5e-31 relative error = 1.6368952671847739158923748924311e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.709 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.3MB, time=48.12 x[1] = 0.727 y[1] (analytic) = 0.91647122063447001551249538393868 y[1] (numeric) = 0.91647122063447001551249538393854 absolute error = 1.4e-31 relative error = 1.5275984324208070591514122110026e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.71 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.728 y[1] (analytic) = 0.91657332838001144054678041081575 y[1] (numeric) = 0.9165733283800114405467804108156 absolute error = 1.5e-31 relative error = 1.6365302737437934405791526242109e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.711 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.3MB, time=48.26 x[1] = 0.729 y[1] (analytic) = 0.91667527523982618519853304566377 y[1] (numeric) = 0.91667527523982618519853304566363 absolute error = 1.4e-31 relative error = 1.5272583845285054163002861222158e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.712 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = 0.91677706153634592658407800855717 y[1] (numeric) = 0.91677706153634592658407800855702 absolute error = 1.5e-31 relative error = 1.6361665915662005349853681158934e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.714 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.3MB, time=48.41 x[1] = 0.731 y[1] (analytic) = 0.91687868759119502284938284672152 y[1] (numeric) = 0.91687868759119502284938284672137 absolute error = 1.5e-31 relative error = 1.6359852402511060533665717880262e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.715 Order of pole = 0.1433 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 0.91698015372519299177113651540815 y[1] (numeric) = 0.91698015372519299177113651540801 absolute error = 1.4e-31 relative error = 1.5267506001221066391052755789479e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.716 Order of pole = 0.1433 TOP MAIN SOLVE Loop memory used=1289.4MB, alloc=4.3MB, time=48.55 x[1] = 0.733 y[1] (analytic) = 0.91708146025835698019139538009417 y[1] (numeric) = 0.91708146025835698019139538009402 absolute error = 1.5e-31 relative error = 1.6356235132890215100157054221774e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.717 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.734 y[1] (analytic) = 0.91718260750990422432596285012945 y[1] (numeric) = 0.91718260750990422432596285012931 absolute error = 1.4e-31 relative error = 1.5264135936909183674788403924754e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.718 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.3MB, time=48.70 x[1] = 0.735 y[1] (analytic) = 0.91728359579825450098646349988998 y[1] (numeric) = 0.91728359579825450098646349988983 absolute error = 1.5e-31 relative error = 1.6352630820729371971797677368811e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.719 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.736 y[1] (analytic) = 0.91738442544103256975586838688856 y[1] (numeric) = 0.91738442544103256975586838688841 absolute error = 1.5e-31 relative error = 1.6350833504491587462762651542821e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.72 Order of pole = 0.1432 memory used=1297.0MB, alloc=4.3MB, time=48.84 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 0.9174850967550706061570253290857 y[1] (numeric) = 0.91748509675507060615702532908555 absolute error = 1.5e-31 relative error = 1.6349039404619735541370236920418e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.721 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.3MB, time=48.99 x[1] = 0.738 y[1] (analytic) = 0.91758561005641062585354614783461 y[1] (numeric) = 0.91758561005641062585354614783447 absolute error = 1.4e-31 relative error = 1.5257431945929621449721973718301e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.722 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 0.91768596566030689992220231055219 y[1] (numeric) = 0.91768596566030689992220231055204 absolute error = 1.5e-31 relative error = 1.6345460823525811943541997104213e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.723 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.3MB, time=49.13 x[1] = 0.74 y[1] (analytic) = 0.91778616388122836123578101045159 y[1] (numeric) = 0.91778616388122836123578101045144 absolute error = 1.5e-31 relative error = 1.6343676327137532682183795065550e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.724 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 0.9178862050328610019951554916857 y[1] (numeric) = 0.91788620503286100199515549168555 absolute error = 1.5e-31 relative error = 1.6341895016782596656683477996033e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.725 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.3MB, time=49.28 x[1] = 0.742 y[1] (analytic) = 0.91798608942811026244912635927134 y[1] (numeric) = 0.91798608942811026244912635927119 absolute error = 1.5e-31 relative error = 1.6340116884935310029453990302940e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.726 Order of pole = 0.1432 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 0.9180858173791034108403946964915 y[1] (numeric) = 0.91808581737910341084039469649135 absolute error = 1.5e-31 relative error = 1.6338341924092787558115394759269e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.727 Order of pole = 0.1432 TOP MAIN SOLVE Loop memory used=1312.3MB, alloc=4.3MB, time=49.42 x[1] = 0.744 y[1] (analytic) = 0.91818538919719191461583304045977 y[1] (numeric) = 0.91818538919719191461583304045962 absolute error = 1.5e-31 relative error = 1.6336570126774866876525130266113e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.728 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 0.91828480519295380293902663159051 y[1] (numeric) = 0.91828480519295380293902663159036 absolute error = 1.5e-31 relative error = 1.6334801485524023163068758555466e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.729 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1316.1MB, alloc=4.3MB, time=49.56 x[1] = 0.746 y[1] (analytic) = 0.91838406567619602054286484731725 y[1] (numeric) = 0.91838406567619602054286484731709 absolute error = 1.6e-31 relative error = 1.7421905059098969807105344320681e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.73 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.747 y[1] (analytic) = 0.91848317095595677295977134706502 y[1] (numeric) = 0.91848317095595677295977134706486 absolute error = 1.6e-31 relative error = 1.7420025217606555499649491203532e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.731 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.3MB, time=49.71 x[1] = 0.748 y[1] (analytic) = 0.91858212134050786316697118678862 y[1] (numeric) = 0.91858212134050786316697118678846 absolute error = 1.6e-31 relative error = 1.7418148718865586759460303391911e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.732 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.749 y[1] (analytic) = 0.91868091713735701968400399997262 y[1] (numeric) = 0.91868091713735701968400399997246 absolute error = 1.6e-31 relative error = 1.7416275555017055280541420725135e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.733 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.3MB, time=49.85 x[1] = 0.75 y[1] (analytic) = 0.91877955865325021615950428053994 y[1] (numeric) = 0.91877955865325021615950428053976 absolute error = 1.8e-31 relative error = 1.9591206433003856799799152398744e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.735 Order of pole = 0.1431 TOP MAIN SOLVE Loop x[1] = 0.751 y[1] (analytic) = 0.91887804619417398248408283437594 y[1] (numeric) = 0.91887804619417398248408283437578 absolute error = 1.6e-31 relative error = 1.7412539200679670954118997260755e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.736 Order of pole = 0.1431 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.3MB, time=50.00 x[1] = 0.752 y[1] (analytic) = 0.91897638006535770746595758294248 y[1] (numeric) = 0.91897638006535770746595758294231 absolute error = 1.7e-31 relative error = 1.8498843244252869714435440899984e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.737 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.3MB, time=50.14 x[1] = 0.753 y[1] (analytic) = 0.9190745605712759331057970975789 y[1] (numeric) = 0.91907456057127593310579709757873 absolute error = 1.7e-31 relative error = 1.8496867097956867600688210991710e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.738 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 0.91917258801565064050705650947089 y[1] (numeric) = 0.91917258801565064050705650947073 absolute error = 1.6e-31 relative error = 1.7406959485749557551826857163904e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.739 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.3MB, time=50.28 x[1] = 0.755 y[1] (analytic) = 0.91927046270145352745790277086434 y[1] (numeric) = 0.91927046270145352745790277086417 absolute error = 1.7e-31 relative error = 1.8492925303008454886250020585981e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.74 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 0.91936818493090827772064463092024 y[1] (numeric) = 0.91936818493090827772064463092008 absolute error = 1.6e-31 relative error = 1.7403256129863163515149259413384e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.741 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1339.0MB, alloc=4.3MB, time=50.43 x[1] = 0.757 y[1] (analytic) = 0.91946575500549282206440212770579 y[1] (numeric) = 0.91946575500549282206440212770563 absolute error = 1.6e-31 relative error = 1.7401409365055055426928794941526e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.742 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.758 y[1] (analytic) = 0.91956317322594159107657087930443 y[1] (numeric) = 0.91956317322594159107657087930426 absolute error = 1.7e-31 relative error = 1.8487038732055670366200224424865e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.743 Order of pole = 0.143 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.3MB, time=50.57 x[1] = 0.759 y[1] (analytic) = 0.91966043989224775978845797506678 y[1] (numeric) = 0.91966043989224775978845797506662 absolute error = 1.6e-31 relative error = 1.7397725623464508172727368183555e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.744 Order of pole = 0.143 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = 0.91975755530366548415028881582313 y[1] (numeric) = 0.91975755530366548415028881582296 absolute error = 1.7e-31 relative error = 1.8483131670918768231848789269979e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.745 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.3MB, time=50.72 x[1] = 0.761 y[1] (analytic) = 0.91985451975871212939060782269808 y[1] (numeric) = 0.91985451975871212939060782269791 absolute error = 1.7e-31 relative error = 1.8481183311964684771767814807710e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.746 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.762 y[1] (analytic) = 0.91995133355517049029492052131962 y[1] (numeric) = 0.91995133355517049029492052131945 absolute error = 1.7e-31 relative error = 1.8479238390038695843408815942304e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.747 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.3MB, time=50.86 x[1] = 0.763 y[1] (analytic) = 0.92004799699009100343825010505509 y[1] (numeric) = 0.92004799699009100343825010505492 absolute error = 1.7e-31 relative error = 1.8477296897134695323318159126704e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.748 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.764 y[1] (analytic) = 0.92014451035979395140610818084533 y[1] (numeric) = 0.92014451035979395140610818084517 absolute error = 1.6e-31 relative error = 1.7388573012019271414978038717045e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.749 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.3MB, time=51.00 x[1] = 0.765 y[1] (analytic) = 0.92024087395987165903820699769967 y[1] (numeric) = 0.9202408739598716590382069976995 absolute error = 1.7e-31 relative error = 1.8473424166487640564946958374554e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.75 Order of pole = 0.1429 TOP MAIN SOLVE Loop x[1] = 0.766 y[1] (analytic) = 0.92033708808519068172906904446245 y[1] (numeric) = 0.9203370880851906817290690444623 absolute error = 1.5e-31 relative error = 1.6298376099574866018004537772399e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.751 Order of pole = 0.1429 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.3MB, time=51.15 x[1] = 0.767 y[1] (analytic) = 0.92043315302989398581951947361887 y[1] (numeric) = 0.92043315302989398581951947361872 absolute error = 1.5e-31 relative error = 1.6296675049809757805579250238880e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.752 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.768 memory used=1361.8MB, alloc=4.3MB, time=51.29 y[1] (analytic) = 0.92052906908740312111287735526925 y[1] (numeric) = 0.9205290690874031211128773552691 absolute error = 1.5e-31 relative error = 1.6294976990645982688195824264690e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.753 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.769 y[1] (analytic) = 0.92062483655042038554949328361553 y[1] (numeric) = 0.92062483655042038554949328361538 absolute error = 1.5e-31 relative error = 1.6293281915144689281877546278077e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.754 Order of pole = 0.1428 TOP MAIN SOLVE Loop memory used=1365.7MB, alloc=4.3MB, time=51.43 x[1] = 0.77 y[1] (analytic) = 0.92072045571093098207311334105877 y[1] (numeric) = 0.92072045571093098207311334105863 absolute error = 1.4e-31 relative error = 1.5205483828628473827939790545020e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.755 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.771 y[1] (analytic) = 0.92081592686020516772238286604207 y[1] (numeric) = 0.92081592686020516772238286604191 absolute error = 1.6e-31 relative error = 1.7375894066642333605856393643001e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.756 Order of pole = 0.1428 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.3MB, time=51.58 x[1] = 0.772 y[1] (analytic) = 0.92091125028880039498063786387037 y[1] (numeric) = 0.92091125028880039498063786387022 absolute error = 1.5e-31 relative error = 1.6288214521536095050039853861776e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.757 Order of pole = 0.1428 TOP MAIN SOLVE Loop x[1] = 0.773 y[1] (analytic) = 0.92100642628656344541696723872691 y[1] (numeric) = 0.92100642628656344541696723872676 absolute error = 1.5e-31 relative error = 1.6286531311707563996329556162263e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.759 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.3MB, time=51.72 x[1] = 0.774 y[1] (analytic) = 0.92110145514263255565136530385529 y[1] (numeric) = 0.92110145514263255565136530385514 absolute error = 1.5e-31 relative error = 1.6284851051155108723796255634238e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.76 Order of pole = 0.1427 TOP MAIN SOLVE Loop x[1] = 0.775 y[1] (analytic) = 0.92119633714543953567663123930819 y[1] (numeric) = 0.92119633714543953567663123930804 absolute error = 1.5e-31 relative error = 1.6283173733062491294862229914904e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.761 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.3MB, time=51.87 x[1] = 0.776 y[1] (analytic) = 0.92129107258271187956951030673497 y[1] (numeric) = 0.92129107258271187956951030673482 absolute error = 1.5e-31 relative error = 1.6281499350633647420369776232639e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.762 Order of pole = 0.1427 TOP MAIN SOLVE Loop x[1] = 0.777 y[1] (analytic) = 0.92138566174147486862341069239997 y[1] (numeric) = 0.92138566174147486862341069239982 absolute error = 1.5e-31 relative error = 1.6279827897092612502455167662402e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.763 Order of pole = 0.1427 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.3MB, time=52.01 x[1] = 0.778 y[1] (analytic) = 0.92148010490805366693486982703758 y[1] (numeric) = 0.92148010490805366693486982703743 absolute error = 1.5e-31 relative error = 1.6278159365683448003171374402798e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.764 Order of pole = 0.1426 TOP MAIN SOLVE Loop x[1] = 0.779 y[1] (analytic) = 0.92157440236807540947578491835154 y[1] (numeric) = 0.92157440236807540947578491835139 absolute error = 1.5e-31 relative error = 1.6276493749670168137178900285984e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.765 Order of pole = 0.1426 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.3MB, time=52.16 x[1] = 0.78 y[1] (analytic) = 0.92166855440647128268326422308883 y[1] (numeric) = 0.92166855440647128268326422308867 absolute error = 1.6e-31 relative error = 1.7359819778492444679289639960941e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.766 Order of pole = 0.1426 TOP MAIN SOLVE Loop x[1] = 0.781 y[1] (analytic) = 0.92176256130747859759879827483947 y[1] (numeric) = 0.92176256130747859759879827483931 absolute error = 1.6e-31 relative error = 1.7358049319452421693881310267543e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.767 Order of pole = 0.1426 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.3MB, time=52.30 x[1] = 0.782 y[1] (analytic) = 0.92185642335464285558829386525154 y[1] (numeric) = 0.92185642335464285558829386525139 absolute error = 1.5e-31 relative error = 1.6271514326943539335026044212449e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.768 Order of pole = 0.1426 TOP MAIN SOLVE Loop x[1] = 0.783 y[1] (analytic) = 0.92195014083081980667435804446614 y[1] (numeric) = 0.92195014083081980667435804446598 absolute error = 1.6e-31 relative error = 1.7354517659253810616496046486304e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.769 Order of pole = 0.1425 TOP MAIN SOLVE Loop memory used=1392.4MB, alloc=4.3MB, time=52.44 x[1] = 0.784 y[1] (analytic) = 0.92204371401817750051206475557172 y[1] (numeric) = 0.92204371401817750051206475557157 absolute error = 1.5e-31 relative error = 1.6268209166170059285878464539986e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.77 Order of pole = 0.1425 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.3MB, time=52.59 x[1] = 0.785 y[1] (analytic) = 0.92213714319819833003928294209469 y[1] (numeric) = 0.92213714319819833003928294209455 absolute error = 1.4e-31 relative error = 1.5182123508705611779184572771374e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.771 Order of pole = 0.1425 TOP MAIN SOLVE Loop x[1] = 0.786 y[1] (analytic) = 0.92223042865168106783249206136563 y[1] (numeric) = 0.92223042865168106783249206136548 absolute error = 1.5e-31 relative error = 1.6264915506995679494318090949387e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.772 Order of pole = 0.1425 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.3MB, time=52.73 x[1] = 0.787 y[1] (analytic) = 0.92232357065874289519885889445376 y[1] (numeric) = 0.92232357065874289519885889445361 absolute error = 1.5e-31 relative error = 1.6263272974024381135225485874316e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.773 Order of pole = 0.1425 TOP MAIN SOLVE Loop x[1] = 0.788 y[1] (analytic) = 0.92241656949882142403519835970937 y[1] (numeric) = 0.92241656949882142403519835970922 absolute error = 1.5e-31 relative error = 1.6261633296711031783077614893989e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.774 Order of pole = 0.1424 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.3MB, time=52.87 x[1] = 0.789 y[1] (analytic) = 0.9225094254506767114842907062983 y[1] (numeric) = 0.92250942545067671148429070629814 absolute error = 1.6e-31 relative error = 1.7343996233082892148964523143145e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.775 Order of pole = 0.1424 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = 0.92260213879239326741887798099886 y[1] (numeric) = 0.92260213879239326741887798099871 absolute error = 1.5e-31 relative error = 1.6258362482915667196602521566461e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.776 Order of pole = 0.1424 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.3MB, time=53.02 x[1] = 0.791 y[1] (analytic) = 0.92269470980138205478351402054104 y[1] (numeric) = 0.92269470980138205478351402054088 absolute error = 1.6e-31 relative error = 1.7340513422304260468705805641378e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.777 Order of pole = 0.1424 TOP MAIN SOLVE Loop x[1] = 0.792 y[1] (analytic) = 0.92278713875438248282429441752155 y[1] (numeric) = 0.92278713875438248282429441752139 absolute error = 1.6e-31 relative error = 1.7338776547750203578121992846596e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.778 Order of pole = 0.1423 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.3MB, time=53.16 x[1] = 0.793 y[1] (analytic) = 0.92287942592746439323634593508751 y[1] (numeric) = 0.92287942592746439323634593508734 absolute error = 1.7e-31 relative error = 1.8420607852337310602831249383148e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.779 Order of pole = 0.1423 TOP MAIN SOLVE Loop x[1] = 0.794 y[1] (analytic) = 0.92297157159603003925880869884142 y[1] (numeric) = 0.92297157159603003925880869884127 absolute error = 1.5e-31 relative error = 1.6251854836722166303473313786308e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.78 Order of pole = 0.1423 TOP MAIN SOLVE Loop memory used=1415.3MB, alloc=4.3MB, time=53.31 x[1] = 0.795 y[1] (analytic) = 0.92306357603481605774689916851983 y[1] (numeric) = 0.92306357603481605774689916851967 absolute error = 1.6e-31 relative error = 1.7333583964747963297083460552966e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.781 Order of pole = 0.1423 TOP MAIN SOLVE Loop x[1] = 0.796 y[1] (analytic) = 0.92315543951789543425049738170708 y[1] (numeric) = 0.92315543951789543425049738170693 absolute error = 1.5e-31 relative error = 1.6248617901047664169334450154028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.782 Order of pole = 0.1423 TOP MAIN SOLVE Loop memory used=1419.1MB, alloc=4.3MB, time=53.45 x[1] = 0.797 y[1] (analytic) = 0.92324716231867946112855826197909 y[1] (numeric) = 0.92324716231867946112855826197894 absolute error = 1.5e-31 relative error = 1.6247003632622499886332857387514e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.783 Order of pole = 0.1422 TOP MAIN SOLVE Loop x[1] = 0.798 y[1] (analytic) = 0.92333874470991968872850388927236 y[1] (numeric) = 0.92333874470991968872850388927221 absolute error = 1.5e-31 relative error = 1.6245392155305329912413121132874e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.785 Order of pole = 0.1422 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.3MB, time=53.60 x[1] = 0.799 y[1] (analytic) = 0.9234301869637098696596115358306 y[1] (numeric) = 0.92343018696370986965961153583045 absolute error = 1.5e-31 relative error = 1.6243783462744313576445858382615e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.786 Order of pole = 0.1422 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.3MB, time=53.74 x[1] = 0.8 y[1] (analytic) = 0.92352148935148789618927097171088 y[1] (numeric) = 0.92352148935148789618927097171072 absolute error = 1.6e-31 relative error = 1.7324989385179835192228741491518e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.787 Order of pole = 0.1422 TOP MAIN SOLVE Loop x[1] = 0.801 y[1] (analytic) = 0.92361265214403773079084403449402 y[1] (numeric) = 0.92361265214403773079084403449386 absolute error = 1.6e-31 relative error = 1.7323279367014121575848050319902e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.788 Order of pole = 0.1421 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.3MB, time=53.88 x[1] = 0.802 y[1] (analytic) = 0.92370367561149132987171973353027 y[1] (numeric) = 0.92370367561149132987171973353012 absolute error = 1.5e-31 relative error = 1.6238974030356659752842150020878e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.789 Order of pole = 0.1421 TOP MAIN SOLVE Loop x[1] = 0.803 y[1] (analytic) = 0.9237945600233305607100192147905 y[1] (numeric) = 0.92379456002333056071001921479033 absolute error = 1.7e-31 relative error = 1.8402359935493301264208947337345e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.79 Order of pole = 0.1421 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.3MB, time=54.03 x[1] = 0.804 y[1] (analytic) = 0.9238853056483891116282667432485 y[1] (numeric) = 0.92388530564838911162826674324834 absolute error = 1.6e-31 relative error = 1.7318166986941186484514143359063e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.791 Order of pole = 0.1421 TOP MAIN SOLVE Loop x[1] = 0.805 y[1] (analytic) = 0.92397591275485439543220546079068 y[1] (numeric) = 0.92397591275485439543220546079052 absolute error = 1.6e-31 relative error = 1.7316468729466821280290726457170e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.792 Order of pole = 0.142 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.3MB, time=54.17 x[1] = 0.806 y[1] (analytic) = 0.9240663816102694461428000440668 y[1] (numeric) = 0.92406638161026944614280004406665 absolute error = 1.5e-31 relative error = 1.6232600058300075904356084319495e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.793 Order of pole = 0.142 TOP MAIN SOLVE Loop x[1] = 0.807 y[1] (analytic) = 0.92415671248153480904933251363053 y[1] (numeric) = 0.92415671248153480904933251363037 absolute error = 1.6e-31 relative error = 1.7313080978481438391556376696769e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.794 Order of pole = 0.142 TOP MAIN SOLVE Loop memory used=1442.0MB, alloc=4.3MB, time=54.32 x[1] = 0.808 y[1] (analytic) = 0.92424690563491042411136232836954 y[1] (numeric) = 0.92424690563491042411136232836939 absolute error = 1.5e-31 relative error = 1.6229429504766116614741044571354e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.795 Order of pole = 0.1419 TOP MAIN SOLVE Loop x[1] = 0.809 y[1] (analytic) = 0.92433696133601750273718753283117 y[1] (numeric) = 0.92433696133601750273718753283101 absolute error = 1.6e-31 relative error = 1.7309704868746059151567577210968e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.796 Order of pole = 0.1419 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.3MB, time=54.47 x[1] = 0.81 y[1] (analytic) = 0.92442687984984039796631010487719 y[1] (numeric) = 0.92442687984984039796631010487704 absolute error = 1.5e-31 relative error = 1.6226269840224172431787494812232e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.797 Order of pole = 0.1419 TOP MAIN SOLVE Loop x[1] = 0.811 y[1] (analytic) = 0.92451666144072846808327577245688 y[1] (numeric) = 0.92451666144072846808327577245672 absolute error = 1.6e-31 relative error = 1.7306340347686392998856285412376e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.798 Order of pole = 0.1419 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.3MB, time=54.61 x[1] = 0.812 y[1] (analytic) = 0.92460630637239793369012642650288 y[1] (numeric) = 0.92460630637239793369012642650273 absolute error = 1.5e-31 relative error = 1.6223121015528249334492873890864e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.799 Order of pole = 0.1418 TOP MAIN SOLVE Loop x[1] = 0.813 y[1] (analytic) = 0.92469581490793372826457184740273 y[1] (numeric) = 0.92469581490793372826457184740258 absolute error = 1.5e-31 relative error = 1.6221550652841937746170677532034e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.8 Order of pole = 0.1418 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.3MB, time=54.75 x[1] = 0.814 y[1] (analytic) = 0.92478518730979134223085678057752 y[1] (numeric) = 0.92478518730979134223085678057738 absolute error = 1.4e-31 relative error = 1.5138650783027926088917304177560e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.801 Order of pole = 0.1418 TOP MAIN SOLVE Loop x[1] = 0.815 y[1] (analytic) = 0.92487442383979866057016943784581 y[1] (numeric) = 0.92487442383979866057016943784567 absolute error = 1.4e-31 relative error = 1.5137190129959738333107545246650e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.802 Order of pole = 0.1417 memory used=1457.2MB, alloc=4.3MB, time=54.90 TOP MAIN SOLVE Loop x[1] = 0.816 y[1] (analytic) = 0.92496352475915779399730826092805 y[1] (numeric) = 0.92496352475915779399730826092791 absolute error = 1.4e-31 relative error = 1.5135731977804555135295668590586e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.803 Order of pole = 0.1417 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.3MB, time=55.04 x[1] = 0.817 y[1] (analytic) = 0.92505249032844690373019525715492 y[1] (numeric) = 0.92505249032844690373019525715478 absolute error = 1.4e-31 relative error = 1.5134276320935251795486335801581e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.804 Order of pole = 0.1417 TOP MAIN SOLVE Loop x[1] = 0.818 y[1] (analytic) = 0.92514132080762201987869640070976 y[1] (numeric) = 0.92514132080762201987869640070961 absolute error = 1.5e-31 relative error = 1.6213739093293797842353295216623e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.805 Order of pole = 0.1417 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.3MB, time=55.19 x[1] = 0.819 y[1] (analytic) = 0.92523001645601885347908248112214 y[1] (numeric) = 0.925230016456018853479082481122 absolute error = 1.4e-31 relative error = 1.5131372470626600244646522686025e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.806 Order of pole = 0.1416 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (analytic) = 0.92531857753235460220033736982871 y[1] (numeric) = 0.92531857753235460220033736982857 absolute error = 1.4e-31 relative error = 1.5129924266013644710436927508530e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.807 Order of pole = 0.1416 TOP MAIN SOLVE Loop memory used=1468.7MB, alloc=4.3MB, time=55.33 x[1] = 0.821 y[1] (analytic) = 0.92540700429472974974839496105034 y[1] (numeric) = 0.9254070042947297497483949610502 absolute error = 1.4e-31 relative error = 1.5128478534339240107480568386549e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.808 Order of pole = 0.1416 TOP MAIN SOLVE Loop x[1] = 0.822 y[1] (analytic) = 0.9254952970006298589942610206566 y[1] (numeric) = 0.92549529700062985899426102065646 absolute error = 1.4e-31 relative error = 1.5127035270056560968973407098260e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.809 Order of pole = 0.1415 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.3MB, time=55.47 x[1] = 0.823 y[1] (analytic) = 0.92558345590692735885185184178106 y[1] (numeric) = 0.92558345590692735885185184178091 absolute error = 1.5e-31 relative error = 1.6205994072465719040202483942170e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.81 Order of pole = 0.1415 TOP MAIN SOLVE Loop x[1] = 0.824 y[1] (analytic) = 0.92567148126988332493125795442984 y[1] (numeric) = 0.92567148126988332493125795442969 absolute error = 1.5e-31 relative error = 1.6204452987384072113454828162389e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.811 Order of pole = 0.1415 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.3MB, time=55.61 x[1] = 0.825 y[1] (analytic) = 0.92575937334514925399301816393413 y[1] (numeric) = 0.92575937334514925399301816393397 absolute error = 1.6e-31 relative error = 1.7283108830089855196761093509804e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.812 Order of pole = 0.1414 TOP MAIN SOLVE Loop x[1] = 0.826 y[1] (analytic) = 0.92584713238776883222886689560808 y[1] (numeric) = 0.92584713238776883222886689560792 absolute error = 1.6e-31 relative error = 1.7281470601670324475977103853839e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.813 Order of pole = 0.1414 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.3MB, time=55.76 x[1] = 0.827 y[1] (analytic) = 0.92593475865217969739429619619119 y[1] (numeric) = 0.92593475865217969739429619619104 absolute error = 1.5e-31 relative error = 1.6199845464095635221193140259070e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.815 Order of pole = 0.1414 TOP MAIN SOLVE Loop x[1] = 0.828 y[1] (analytic) = 0.92602225239221519481815278240927 y[1] (numeric) = 0.92602225239221519481815278240912 absolute error = 1.5e-31 relative error = 1.6198314847456575791203603125392e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.816 Order of pole = 0.1413 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.3MB, time=55.91 x[1] = 0.829 y[1] (analytic) = 0.92610961386110612731437022914299 y[1] (numeric) = 0.92610961386110612731437022914285 absolute error = 1.4e-31 relative error = 1.5117001044435393171994802090071e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.817 Order of pole = 0.1413 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (analytic) = 0.92619684331148249902081675013777 y[1] (numeric) = 0.92619684331148249902081675013763 absolute error = 1.4e-31 relative error = 1.5115577321495752714154003362781e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.818 Order of pole = 0.1413 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.3MB, time=56.05 x[1] = 0.831 y[1] (analytic) = 0.92628394099537525319012003884062 y[1] (numeric) = 0.92628394099537525319012003884047 absolute error = 1.5e-31 relative error = 1.6193738589358629440906140403278e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.819 Order of pole = 0.1412 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.3MB, time=56.19 x[1] = 0.832 y[1] (analytic) = 0.92637090716421800395721230175773 y[1] (numeric) = 0.92637090716421800395721230175758 absolute error = 1.5e-31 relative error = 1.6192218347959135792742248757923e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.82 Order of pole = 0.1412 TOP MAIN SOLVE Loop x[1] = 0.833 y[1] (analytic) = 0.92645774206884876210822092766393 y[1] (numeric) = 0.92645774206884876210822092766378 absolute error = 1.5e-31 relative error = 1.6190700685930789383061728125246e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.821 Order of pole = 0.1412 TOP MAIN SOLVE Loop memory used=1495.4MB, alloc=4.3MB, time=56.34 x[1] = 0.834 y[1] (analytic) = 0.92654444595951165487521318906584 y[1] (numeric) = 0.9265444459595116548752131890657 absolute error = 1.4e-31 relative error = 1.5109906557695533487134254774470e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.822 Order of pole = 0.1411 TOP MAIN SOLVE Loop x[1] = 0.835 y[1] (analytic) = 0.92663101908585863978118696355548 y[1] (numeric) = 0.92663101908585863978118696355534 absolute error = 1.4e-31 relative error = 1.5108494871897662192504078199867e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.823 Order of pole = 0.1411 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.3MB, time=56.48 x[1] = 0.836 y[1] (analytic) = 0.92671746169695121255958368814695 y[1] (numeric) = 0.92671746169695121255958368814681 absolute error = 1.4e-31 relative error = 1.5107085577479043948363223676207e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.824 Order of pole = 0.141 TOP MAIN SOLVE Loop x[1] = 0.837 y[1] (analytic) = 0.92680377404126210917248461545337 y[1] (numeric) = 0.92680377404126210917248461545323 absolute error = 1.4e-31 relative error = 1.5105678669125389035834975016545e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.825 Order of pole = 0.141 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.3MB, time=56.63 x[1] = 0.838 y[1] (analytic) = 0.92688995636667700195153692274421 y[1] (numeric) = 0.92688995636667700195153692274407 absolute error = 1.4e-31 relative error = 1.5104274141537477228987163373303e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.826 Order of pole = 0.141 TOP MAIN SOLVE Loop x[1] = 0.839 y[1] (analytic) = 0.92697600892049618988554232966652 y[1] (numeric) = 0.92697600892049618988554232966637 absolute error = 1.5e-31 relative error = 1.6181648560104755326479496670466e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.827 Order of pole = 0.1409 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.3MB, time=56.77 x[1] = 0.84 y[1] (analytic) = 0.92706193194943628307852760388126 y[1] (numeric) = 0.92706193194943628307852760388111 absolute error = 1.5e-31 relative error = 1.6180148793789677973053136129995e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.828 Order of pole = 0.1409 TOP MAIN SOLVE Loop x[1] = 0.841 y[1] (analytic) = 0.92714772569963188140200367225189 y[1] (numeric) = 0.92714772569963188140200367225174 absolute error = 1.5e-31 relative error = 1.6178651561358142327944059430966e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.829 Order of pole = 0.1409 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.3MB, time=56.92 x[1] = 0.842 y[1] (analytic) = 0.92723339041663724736500800474398 y[1] (numeric) = 0.92723339041663724736500800474384 absolute error = 1.4e-31 relative error = 1.5098679733383336893246837840226e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.83 Order of pole = 0.1408 TOP MAIN SOLVE Loop x[1] = 0.843 y[1] (analytic) = 0.92731892634542797322541349509796 y[1] (numeric) = 0.92731892634542797322541349509782 absolute error = 1.4e-31 relative error = 1.5097287030659584251596455309347e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.831 Order of pole = 0.1408 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.3MB, time=57.06 x[1] = 0.844 y[1] (analytic) = 0.92740433373040264236587622289135 y[1] (numeric) = 0.9274043337304026423658762228912 absolute error = 1.5e-31 relative error = 1.6174175011306896528866354607570e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.832 Order of pole = 0.1407 TOP MAIN SOLVE Loop x[1] = 0.845 y[1] (analytic) = 0.92748961281538448495768424210953 y[1] (numeric) = 0.9274896128153844849576842421094 absolute error = 1.3e-31 relative error = 1.4016329477306644387677642457035e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.833 Order of pole = 0.1407 TOP MAIN SOLVE Loop memory used=1518.3MB, alloc=4.3MB, time=57.20 x[1] = 0.846 y[1] (analytic) = 0.92757476384362302793565989811587 y[1] (numeric) = 0.92757476384362302793565989811572 absolute error = 1.5e-31 relative error = 1.6171203211527651902414010220947e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.834 Order of pole = 0.1407 TOP MAIN SOLVE Loop x[1] = 0.847 y[1] (analytic) = 0.92765978705779573930715912429986 y[1] (numeric) = 0.92765978705779573930715912429972 absolute error = 1.4e-31 relative error = 1.5091739660725168147099184426207e-29 % Correct digits = 30 memory used=1522.1MB, alloc=4.3MB, time=57.35 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.835 Order of pole = 0.1406 TOP MAIN SOLVE Loop x[1] = 0.848 y[1] (analytic) = 0.92774468270000966681810270805969 y[1] (numeric) = 0.92774468270000966681810270805955 absolute error = 1.4e-31 relative error = 1.5090358652615378793857678383061e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.836 Order of pole = 0.1406 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.3MB, time=57.49 x[1] = 0.849 y[1] (analytic) = 0.9278294510118030709988666395362 y[1] (numeric) = 0.92782945101180307099886663953605 absolute error = 1.5e-31 relative error = 1.6166764251385228483891875373639e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.837 Order of pole = 0.1405 TOP MAIN SOLVE Loop x[1] = 0.85 y[1] (analytic) = 0.92791409223414705261275136208496 y[1] (numeric) = 0.92791409223414705261275136208482 absolute error = 1.4e-31 relative error = 1.5087603601635227763830080276710e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.838 Order of pole = 0.1405 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.3MB, time=57.63 x[1] = 0.851 y[1] (analytic) = 0.92799860660744717452964302729445 y[1] (numeric) = 0.9279986066074471745296430272943 absolute error = 1.5e-31 relative error = 1.6163817373429691129187944350839e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.839 Order of pole = 0.1405 TOP MAIN SOLVE Loop x[1] = 0.852 y[1] (analytic) = 0.92808299437154507804737371590276 y[1] (numeric) = 0.92808299437154507804737371590262 absolute error = 1.4e-31 relative error = 1.5084857803563304307288640669986e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.84 Order of pole = 0.1404 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.3MB, time=57.78 x[1] = 0.853 y[1] (analytic) = 0.92816725576572009368318201572844 y[1] (numeric) = 0.92816725576572009368318201572829 absolute error = 1.5e-31 relative error = 1.6160880387474226459002301736715e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.841 Order of pole = 0.1404 TOP MAIN SOLVE Loop x[1] = 0.854 y[1] (analytic) = 0.92825139102869084645757034522888 y[1] (numeric) = 0.92825139102869084645757034522873 absolute error = 1.5e-31 relative error = 1.6159415590400524041285008013541e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.842 Order of pole = 0.1403 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.3MB, time=57.92 x[1] = 0.855 y[1] (analytic) = 0.9283354003986168556927509730774 y[1] (numeric) = 0.92833540039861685569275097307725 absolute error = 1.5e-31 relative error = 1.6157953250042137228675903992804e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.843 Order of pole = 0.1403 TOP MAIN SOLVE Loop x[1] = 0.856 y[1] (analytic) = 0.92841928411310012934776880677049 y[1] (numeric) = 0.92841928411310012934776880677033 absolute error = 1.6e-31 relative error = 1.7233592918402671192040713114522e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.844 Order of pole = 0.1402 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.3MB, time=58.07 x[1] = 0.857 y[1] (analytic) = 0.92850304240918675291228570333142 y[1] (numeric) = 0.92850304240918675291228570333127 absolute error = 1.5e-31 relative error = 1.6155035917900173459607341875699e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.845 Order of pole = 0.1402 TOP MAIN SOLVE Loop x[1] = 0.858 y[1] (analytic) = 0.92858667552336847288090828927646 y[1] (numeric) = 0.9285866755233684728809082892763 absolute error = 1.6e-31 relative error = 1.7230486309726667888146205491509e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.846 Order of pole = 0.1402 TOP MAIN SOLVE Loop memory used=1545.0MB, alloc=4.3MB, time=58.21 x[1] = 0.859 y[1] (analytic) = 0.92867018369158427482983906179061 y[1] (numeric) = 0.92867018369158427482983906179045 absolute error = 1.6e-31 relative error = 1.7228936904593972696491026773241e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.847 Order of pole = 0.1401 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (analytic) = 0.92875356714922195611752887518124 y[1] (numeric) = 0.92875356714922195611752887518108 absolute error = 1.6e-31 relative error = 1.7227390091336569964173308629534e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.848 Order of pole = 0.1401 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.3MB, time=58.35 x[1] = 0.861 y[1] (analytic) = 0.92883682613111969323090779281839 y[1] (numeric) = 0.92883682613111969323090779281823 absolute error = 1.6e-31 relative error = 1.7225845864278159417672513796949e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.849 Order of pole = 0.14 TOP MAIN SOLVE Loop x[1] = 0.862 y[1] (analytic) = 0.92891996087156760379867070163652 y[1] (numeric) = 0.92891996087156760379867070163636 absolute error = 1.6e-31 relative error = 1.7224304217758281828532435817731e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.85 Order of pole = 0.14 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.3MB, time=58.50 x[1] = 0.863 y[1] (analytic) = 0.92900297160430930329299404058761 y[1] (numeric) = 0.92900297160430930329299404058745 absolute error = 1.6e-31 relative error = 1.7222765146132264407755000171771e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.851 Order of pole = 0.1399 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.3MB, time=58.64 x[1] = 0.864 y[1] (analytic) = 0.92908585856254345644096048294935 y[1] (numeric) = 0.9290858585625434564409604829492 absolute error = 1.5e-31 relative error = 1.6144901853535468524386998041259e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.852 Order of pole = 0.1399 TOP MAIN SOLVE Loop x[1] = 0.865 y[1] (analytic) = 0.92916862197892532336686943187431 y[1] (numeric) = 0.92916862197892532336686943187416 absolute error = 1.5e-31 relative error = 1.6143463785995367242425569231587e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.853 Order of pole = 0.1398 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.3MB, time=58.79 x[1] = 0.866 y[1] (analytic) = 0.92925126208556830048651273580841 y[1] (numeric) = 0.92925126208556830048651273580826 absolute error = 1.5e-31 relative error = 1.6142028116630907613073964539393e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.855 Order of pole = 0.1398 TOP MAIN SOLVE Loop x[1] = 0.867 y[1] (analytic) = 0.92933377911404545617439710222431 y[1] (numeric) = 0.92933377911404545617439710222415 absolute error = 1.6e-31 relative error = 1.7216634496222827024874995152998e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.856 Order of pole = 0.1397 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.3MB, time=58.93 x[1] = 0.868 y[1] (analytic) = 0.92941617329539106122479728134111 y[1] (numeric) = 0.92941617329539106122479728134095 absolute error = 1.6e-31 relative error = 1.7215108214944749961100305414955e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.857 Order of pole = 0.1397 TOP MAIN SOLVE Loop x[1] = 0.869 y[1] (analytic) = 0.92949844486010211412742720299485 y[1] (numeric) = 0.9294984448601021141274272029947 absolute error = 1.5e-31 relative error = 1.6137735445332170589669843657260e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.858 Order of pole = 0.1396 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.3MB, time=59.08 x[1] = 0.87 y[1] (analytic) = 0.92958059403813986117841987646055 y[1] (numeric) = 0.92958059403813986117841987646038 absolute error = 1.7e-31 relative error = 1.8287817225348085514970322467557e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.859 Order of pole = 0.1396 TOP MAIN SOLVE Loop x[1] = 0.871 y[1] (analytic) = 0.92966262105893131144721100170613 y[1] (numeric) = 0.92966262105893131144721100170597 absolute error = 1.6e-31 relative error = 1.7210544597109019440904953610307e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.86 Order of pole = 0.1395 TOP MAIN SOLVE Loop memory used=1571.7MB, alloc=4.3MB, time=59.22 x[1] = 0.872 y[1] (analytic) = 0.92974452615137074661982588820166 y[1] (numeric) = 0.9297445261513707466198258882015 absolute error = 1.6e-31 relative error = 1.7209028448095489529356973194782e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.861 Order of pole = 0.1395 TOP MAIN SOLVE Loop x[1] = 0.873 y[1] (analytic) = 0.92982630954382122573897443095212 y[1] (numeric) = 0.92982630954382122573897443095197 absolute error = 1.5e-31 relative error = 1.6132045142236399590918149699074e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.862 Order of pole = 0.1394 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.3MB, time=59.37 x[1] = 0.874 y[1] (analytic) = 0.92990797146411608486126454983374 y[1] (numeric) = 0.92990797146411608486126454983358 absolute error = 1.6e-31 relative error = 1.7206003702504467429159400711275e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.863 Order of pole = 0.1394 TOP MAIN SOLVE Loop x[1] = 0.875 y[1] (analytic) = 0.92998951213956043165175065456954 y[1] (numeric) = 0.9299895121395604316517506545694 absolute error = 1.4e-31 relative error = 1.5053933208118874552875932159897e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.864 Order of pole = 0.1393 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.3MB, time=59.51 x[1] = 0.876 y[1] (analytic) = 0.93007093179693263493594035078571 y[1] (numeric) = 0.93007093179693263493594035078556 absolute error = 1.5e-31 relative error = 1.6127802178506348903573394612629e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.865 Order of pole = 0.1393 TOP MAIN SOLVE Loop x[1] = 0.877 y[1] (analytic) = 0.93015223066248580922928974956433 y[1] (numeric) = 0.93015223066248580922928974956418 absolute error = 1.5e-31 relative error = 1.6126392546859231615931055742732e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.866 Order of pole = 0.1392 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.3MB, time=59.66 x[1] = 0.878 y[1] (analytic) = 0.93023340896194929426412538079651 y[1] (numeric) = 0.93023340896194929426412538079637 absolute error = 1.4e-31 relative error = 1.5049986234769453004614862299381e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.867 Order of pole = 0.1392 TOP MAIN SOLVE Loop x[1] = 0.879 y[1] (analytic) = 0.93031446692053012953383883650019 y[1] (numeric) = 0.93031446692053012953383883650004 absolute error = 1.5e-31 relative error = 1.6123580287482876300253227980172e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.868 Order of pole = 0.1391 memory used=1586.9MB, alloc=4.3MB, time=59.80 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (analytic) = 0.93039540476291452387410888118422 y[1] (numeric) = 0.93039540476291452387410888118407 absolute error = 1.5e-31 relative error = 1.6122177649643845956281363439318e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.869 Order of pole = 0.1391 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.3MB, time=59.94 x[1] = 0.881 y[1] (analytic) = 0.93047622271326932010081485941408 y[1] (numeric) = 0.93047622271326932010081485941393 absolute error = 1.5e-31 relative error = 1.6120777332987606546493030543756e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.87 Order of pole = 0.139 TOP MAIN SOLVE Loop x[1] = 0.882 y[1] (analytic) = 0.93055692099524345472421480308461 y[1] (numeric) = 0.93055692099524345472421480308446 absolute error = 1.5e-31 relative error = 1.6119379332494022208892435911756e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.871 Order of pole = 0.139 TOP MAIN SOLVE Loop memory used=1594.5MB, alloc=4.3MB, time=60.09 x[1] = 0.883 y[1] (analytic) = 0.93063749983196941275887168967319 y[1] (numeric) = 0.93063749983196941275887168967304 absolute error = 1.5e-31 relative error = 1.6117983643156776141840978673104e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.872 Order of pole = 0.1389 TOP MAIN SOLVE Loop x[1] = 0.884 y[1] (analytic) = 0.93071795944606467764872182508976 y[1] (numeric) = 0.9307179594460646776487218250896 absolute error = 1.6e-31 relative error = 1.7191029610648878559220190271280e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.873 Order of pole = 0.1389 TOP MAIN SOLVE Loop memory used=1598.4MB, alloc=4.3MB, time=60.23 x[1] = 0.885 y[1] (analytic) = 0.9307983000596331763265903178367 y[1] (numeric) = 0.93079830005963317632659031783655 absolute error = 1.5e-31 relative error = 1.6115199177994845377221370126035e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.874 Order of pole = 0.1388 TOP MAIN SOLVE Loop x[1] = 0.886 y[1] (analytic) = 0.93087852189426671942737007223876 y[1] (numeric) = 0.93087852189426671942737007223861 absolute error = 1.5e-31 relative error = 1.6113810392226200740826000910917e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.875 Order of pole = 0.1387 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.3MB, time=60.38 x[1] = 0.887 y[1] (analytic) = 0.93095862517104643667399265471494 y[1] (numeric) = 0.93095862517104643667399265471479 absolute error = 1.5e-31 relative error = 1.6112423897725881540775353040820e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.876 Order of pole = 0.1387 TOP MAIN SOLVE Loop x[1] = 0.888 y[1] (analytic) = 0.93103861011054420745523177567648 y[1] (numeric) = 0.93103861011054420745523177567633 absolute error = 1.5e-31 relative error = 1.6111039689555965768420981355585e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.877 Order of pole = 0.1386 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.3MB, time=60.52 x[1] = 0.889 y[1] (analytic) = 0.93111847693282408661429297789786 y[1] (numeric) = 0.9311184769328240866142929778977 absolute error = 1.6e-31 relative error = 1.7183634946978209705154220124383e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.878 Order of pole = 0.1386 TOP MAIN SOLVE Loop x[1] = 0.89 y[1] (analytic) = 0.93119822585744372546705642739334 y[1] (numeric) = 0.93119822585744372546705642739319 absolute error = 1.5e-31 relative error = 1.6108278112523311569175905325740e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.879 Order of pole = 0.1385 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.3MB, time=60.67 x[1] = 0.891 y[1] (analytic) = 0.93127785710345578806875346222789 y[1] (numeric) = 0.93127785710345578806875346222774 absolute error = 1.5e-31 relative error = 1.6106900733852246946782212953805e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.88 Order of pole = 0.1385 TOP MAIN SOLVE Loop x[1] = 0.892 y[1] (analytic) = 0.93135737088940936274777176560498 y[1] (numeric) = 0.93135737088940936274777176560482 absolute error = 1.6e-31 relative error = 1.7179227330021165095742755493951e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.881 Order of pole = 0.1384 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.3MB, time=60.81 x[1] = 0.893 y[1] (analytic) = 0.93143676743335136892519868933014 y[1] (numeric) = 0.93143676743335136892519868932998 absolute error = 1.6e-31 relative error = 1.7177762956565781461898905530813e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.882 Order of pole = 0.1383 TOP MAIN SOLVE Loop x[1] = 0.894 y[1] (analytic) = 0.9315160469528279592386273596896 y[1] (numeric) = 0.93151604695282795923862735968945 absolute error = 1.5e-31 relative error = 1.6102782178651615968675694706784e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.883 Order of pole = 0.1383 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.3MB, time=60.96 x[1] = 0.895 y[1] (analytic) = 0.93159520966488591698866574726843 y[1] (numeric) = 0.93159520966488591698866574726827 absolute error = 1.6e-31 relative error = 1.7174841426841955569545293733285e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.884 Order of pole = 0.1382 TOP MAIN SOLVE Loop memory used=1621.3MB, alloc=4.3MB, time=61.10 x[1] = 0.896 y[1] (analytic) = 0.93167425578607404892650487263948 y[1] (numeric) = 0.93167425578607404892650487263933 absolute error = 1.5e-31 relative error = 1.6100047743987699093363429932859e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.885 Order of pole = 0.1382 TOP MAIN SOLVE Loop x[1] = 0.897 y[1] (analytic) = 0.93175318553244457340081874857871 y[1] (numeric) = 0.93175318553244457340081874857856 absolute error = 1.5e-31 relative error = 1.6098683892804018826489261844131e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.886 Order of pole = 0.1381 TOP MAIN SOLVE Loop memory used=1625.1MB, alloc=4.3MB, time=61.24 x[1] = 0.898 y[1] (analytic) = 0.93183199911955450388218552391394 y[1] (numeric) = 0.93183199911955450388218552391379 absolute error = 1.5e-31 relative error = 1.6097322279308732583099019122528e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.887 Order of pole = 0.138 TOP MAIN SOLVE Loop x[1] = 0.899 y[1] (analytic) = 0.93191069676246702788313659172554 y[1] (numeric) = 0.93191069676246702788313659172538 absolute error = 1.6e-31 relative error = 1.7169027091957728685142099635835e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.888 Order of pole = 0.138 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.3MB, time=61.39 x[1] = 0.9 y[1] (analytic) = 0.93198927867575288129185815283089 y[1] (numeric) = 0.93198927867575288129185815283074 absolute error = 1.5e-31 relative error = 1.6094605746230509524947814254557e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.889 Order of pole = 0.1379 TOP MAIN SOLVE Loop x[1] = 0.901 y[1] (analytic) = 0.9320677450734917181374878817665 y[1] (numeric) = 0.93206774507349171813748788176634 absolute error = 1.6e-31 relative error = 1.7166134204910643381938313240765e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.89 Order of pole = 0.1378 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.3MB, time=61.53 x[1] = 0.902 y[1] (analytic) = 0.93214609616927347580486792430863 y[1] (numeric) = 0.93214609616927347580486792430849 absolute error = 1.4e-31 relative error = 1.5019104899472393338424051638818e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.891 Order of pole = 0.1378 TOP MAIN SOLVE Loop x[1] = 0.903 y[1] (analytic) = 0.9322243321761997357165344604451 y[1] (numeric) = 0.93222433217619973571653446044496 absolute error = 1.4e-31 relative error = 1.5017844435918306173710950628356e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.892 Order of pole = 0.1377 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.3MB, time=61.67 x[1] = 0.904 y[1] (analytic) = 0.93230245330688507949964349213629 y[1] (numeric) = 0.93230245330688507949964349213614 absolute error = 1.5e-31 relative error = 1.6089199322381773017672473488815e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.893 Order of pole = 0.1376 TOP MAIN SOLVE Loop x[1] = 0.905 y[1] (analytic) = 0.93238045977345844065545235871575 y[1] (numeric) = 0.9323804597734584406554523587156 absolute error = 1.5e-31 relative error = 1.6087853239271624546197402867148e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.894 Order of pole = 0.1376 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.3MB, time=61.82 x[1] = 0.906 y[1] (analytic) = 0.9324583517875644517488967419217 y[1] (numeric) = 0.93245835178756445174889674192156 absolute error = 1.4e-31 relative error = 1.5014075398822234302677148575051e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.895 Order of pole = 0.1375 TOP MAIN SOLVE Loop x[1] = 0.907 y[1] (analytic) = 0.93253612956036478713572359488434 y[1] (numeric) = 0.9325361295603647871357235948842 absolute error = 1.4e-31 relative error = 1.5012823156353379792413143392272e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.896 Order of pole = 0.1374 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.3MB, time=61.96 x[1] = 0.908 y[1] (analytic) = 0.93261379330253950124456151249664 y[1] (numeric) = 0.9326137933025395012445615124965 absolute error = 1.4e-31 relative error = 1.5011572958216377359888425278626e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.897 Order of pole = 0.1374 TOP MAIN SOLVE Loop x[1] = 0.909 y[1] (analytic) = 0.93269134322428836243123155206169 y[1] (numeric) = 0.93269134322428836243123155206155 absolute error = 1.4e-31 relative error = 1.5010324800059132564537841961592e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.898 Order of pole = 0.1373 TOP MAIN SOLVE Loop memory used=1648.0MB, alloc=4.3MB, time=62.11 x[1] = 0.91 y[1] (analytic) = 0.93276877953533218242252341054722 y[1] (numeric) = 0.93276877953533218242252341054708 absolute error = 1.4e-31 relative error = 1.5009078677541325764507004979106e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.899 Order of pole = 0.1372 TOP MAIN SOLVE Loop x[1] = 0.911 y[1] (analytic) = 0.93284610244491414136658416581203 y[1] (numeric) = 0.9328461024449141413665841658119 absolute error = 1.3e-31 relative error = 1.3935846401596203340320356008698e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.9 Order of pole = 0.1372 memory used=1651.8MB, alloc=4.3MB, time=62.25 TOP MAIN SOLVE Loop x[1] = 0.912 y[1] (analytic) = 0.932923312161801108506989491441 y[1] (numeric) = 0.93292331216180110850698949144087 absolute error = 1.3e-31 relative error = 1.3934693056255572716134677377831e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.901 Order of pole = 0.1371 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.3MB, time=62.40 x[1] = 0.913 y[1] (analytic) = 0.93300040889428495849749035598963 y[1] (numeric) = 0.9330004088942849584974903559895 absolute error = 1.3e-31 relative error = 1.3933541589125911012726458366031e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.902 Order of pole = 0.137 TOP MAIN SOLVE Loop x[1] = 0.914 y[1] (analytic) = 0.93307739285018388337435171516882 y[1] (numeric) = 0.93307739285018388337435171516868 absolute error = 1.4e-31 relative error = 1.5004114457468007866979371354905e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.903 Order of pole = 0.137 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.3MB, time=62.54 x[1] = 0.915 y[1] (analytic) = 0.93315426423684370020312359747977 y[1] (numeric) = 0.93315426423684370020312359747963 absolute error = 1.4e-31 relative error = 1.5002878448451972946855587440112e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.904 Order of pole = 0.1369 TOP MAIN SOLVE Loop x[1] = 0.916 y[1] (analytic) = 0.93323102326113915441660926774168 y[1] (numeric) = 0.93323102326113915441660926774154 absolute error = 1.4e-31 relative error = 1.5001644449278539740161190626176e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.905 Order of pole = 0.1368 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.3MB, time=62.69 x[1] = 0.917 y[1] (analytic) = 0.93330767012947521886071982655543 y[1] (numeric) = 0.93330767012947521886071982655529 absolute error = 1.4e-31 relative error = 1.5000412455688720863398277996526e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.906 Order of pole = 0.1367 TOP MAIN SOLVE Loop x[1] = 0.918 y[1] (analytic) = 0.9333842050477883885648296647478 y[1] (numeric) = 0.93338420504778838856482966474766 absolute error = 1.4e-31 relative error = 1.4999182463434993781882766595628e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.907 Order of pole = 0.1367 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.3MB, time=62.83 x[1] = 0.919 y[1] (analytic) = 0.93346062822154797125317263798825 y[1] (numeric) = 0.93346062822154797125317263798811 absolute error = 1.4e-31 relative error = 1.4997954468281262757881236188047e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.908 Order of pole = 0.1366 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (analytic) = 0.933536939855757373613744655825 y[1] (numeric) = 0.93353693985575737361374465582487 absolute error = 1.3e-31 relative error = 1.3925533575574048025106303676259e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.909 Order of pole = 0.1365 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.3MB, time=62.98 x[1] = 0.921 y[1] (analytic) = 0.93361314015495538334110458912465 y[1] (numeric) = 0.93361314015495538334110458912451 absolute error = 1.4e-31 relative error = 1.4995504452386312663923344386794e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.91 Order of pole = 0.1365 TOP MAIN SOLVE Loop x[1] = 0.922 y[1] (analytic) = 0.93368922932321744696939198810915 y[1] (numeric) = 0.93368922932321744696939198810901 absolute error = 1.4e-31 relative error = 1.4994282423229695751396174046849e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.911 Order of pole = 0.1364 TOP MAIN SOLVE Loop memory used=1674.7MB, alloc=4.3MB, time=63.12 x[1] = 0.923 y[1] (analytic) = 0.93376520756415694351180706767122 y[1] (numeric) = 0.93376520756415694351180706767108 absolute error = 1.4e-31 relative error = 1.4993062374342204160760966515172e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.912 Order of pole = 0.1363 TOP MAIN SOLVE Loop x[1] = 0.924 y[1] (analytic) = 0.93384107508092645392272575523053 y[1] (numeric) = 0.93384107508092645392272575523039 absolute error = 1.4e-31 relative error = 1.4991844301544310634348993122401e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.913 Order of pole = 0.1362 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.3MB, time=63.27 x[1] = 0.925 y[1] (analytic) = 0.93391683207621902639855030690334 y[1] (numeric) = 0.93391683207621902639855030690321 absolute error = 1.3e-31 relative error = 1.3919869043477140300551786857285e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.914 Order of pole = 0.1361 TOP MAIN SOLVE Loop x[1] = 0.926 y[1] (analytic) = 0.93399247875226943753332407804257 y[1] (numeric) = 0.93399247875226943753332407804243 absolute error = 1.4e-31 relative error = 1.4989414067555179936305835414773e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.915 Order of pole = 0.1361 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.3MB, time=63.41 x[1] = 0.927 y[1] (analytic) = 0.93406801531085544934506748212469 y[1] (numeric) = 0.93406801531085544934506748212455 absolute error = 1.4e-31 relative error = 1.4988201898060748567762201646688e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.916 Order of pole = 0.136 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.3MB, time=63.56 x[1] = 0.928 y[1] (analytic) = 0.93414344195329906218872098538992 y[1] (numeric) = 0.93414344195329906218872098538978 absolute error = 1.4e-31 relative error = 1.4986991688049453294563462791878e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.917 Order of pole = 0.1359 TOP MAIN SOLVE Loop x[1] = 0.929 y[1] (analytic) = 0.93421875888046776357151016146888 y[1] (numeric) = 0.93421875888046776357151016146874 absolute error = 1.4e-31 relative error = 1.4985783433397406450952035521395e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.918 Order of pole = 0.1358 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.3MB, time=63.70 x[1] = 0.93 y[1] (analytic) = 0.93429396629277577288647736835674 y[1] (numeric) = 0.9342939662927757728864773683566 absolute error = 1.4e-31 relative error = 1.4984577129991738434699080488362e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.919 Order of pole = 0.1358 TOP MAIN SOLVE Loop x[1] = 0.931 y[1] (analytic) = 0.93436906439018528207985450743836 y[1] (numeric) = 0.93436906439018528207985450743822 absolute error = 1.4e-31 relative error = 1.4983372773730561425965970171910e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.92 Order of pole = 0.1357 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.3MB, time=63.84 x[1] = 0.932 y[1] (analytic) = 0.93444405337220769226788157875489 y[1] (numeric) = 0.93444405337220769226788157875474 absolute error = 1.5e-31 relative error = 1.6052325386274571338559967331316e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.921 Order of pole = 0.1356 TOP MAIN SOLVE Loop x[1] = 0.933 y[1] (analytic) = 0.93451893343790484631860635627559 y[1] (numeric) = 0.93451893343790484631860635627545 absolute error = 1.4e-31 relative error = 1.4980969886288821378262032422500e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.922 Order of pole = 0.1355 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.3MB, time=63.99 x[1] = 0.934 y[1] (analytic) = 0.93459370478589025741413146955455 y[1] (numeric) = 0.93459370478589025741413146955441 absolute error = 1.4e-31 relative error = 1.4979771346959067081553448899855e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.923 Order of pole = 0.1354 TOP MAIN SOLVE Loop x[1] = 0.935 y[1] (analytic) = 0.93466836761433033360870649177764 y[1] (numeric) = 0.93466836761433033360870649177749 absolute error = 1.5e-31 relative error = 1.6048472934080731832979522785186e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.924 Order of pole = 0.1353 TOP MAIN SOLVE Loop memory used=1701.4MB, alloc=4.3MB, time=64.14 x[1] = 0.936 y[1] (analytic) = 0.9347429221209455983979942968244 y[1] (numeric) = 0.93474292212094559839799429682426 absolute error = 1.4e-31 relative error = 1.4977380056790151128416171486441e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.925 Order of pole = 0.1353 TOP MAIN SOLVE Loop x[1] = 0.937 y[1] (analytic) = 0.93481736850301190731477295757546 y[1] (numeric) = 0.93481736850301190731477295757532 absolute error = 1.4e-31 relative error = 1.4976187297866720275779883919841e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.926 Order of pole = 0.1352 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.3MB, time=64.28 x[1] = 0.938 y[1] (analytic) = 0.93489170695736166056626681229695 y[1] (numeric) = 0.9348917069573616605662668122968 absolute error = 1.5e-31 relative error = 1.6044639061798969157407146454240e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.927 Order of pole = 0.1351 TOP MAIN SOLVE Loop x[1] = 0.939 y[1] (analytic) = 0.93496593768038501172823302355021 y[1] (numeric) = 0.93496593768038501172823302355007 absolute error = 1.4e-31 relative error = 1.4973807532211781301054803231736e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.928 Order of pole = 0.135 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.3MB, time=64.42 x[1] = 0.94 y[1] (analytic) = 0.93504006086803107251086299274003 y[1] (numeric) = 0.9350400608680310725108629927399 absolute error = 1.3e-31 relative error = 1.3903147623355983119291648458327e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.929 Order of pole = 0.1349 TOP MAIN SOLVE Loop x[1] = 0.941 y[1] (analytic) = 0.93511407671580911361149137117381 y[1] (numeric) = 0.93511407671580911361149137117367 absolute error = 1.4e-31 relative error = 1.4971435409430528227963320901895e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.93 Order of pole = 0.1348 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.3MB, time=64.57 x[1] = 0.942 y[1] (analytic) = 0.93518798541878976166903912341645 y[1] (numeric) = 0.93518798541878976166903912341631 absolute error = 1.4e-31 relative error = 1.4970252204139055151893549477320e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.931 Order of pole = 0.1347 TOP MAIN SOLVE Loop x[1] = 0.943 y[1] (analytic) = 0.93526178717160619233505114886113 y[1] (numeric) = 0.93526178717160619233505114886099 absolute error = 1.4e-31 relative error = 1.4969070897612985379533323419786e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.932 Order of pole = 0.1347 memory used=1716.6MB, alloc=4.3MB, time=64.71 TOP MAIN SOLVE Loop x[1] = 0.944 y[1] (analytic) = 0.93533548216845531947612335087791 y[1] (numeric) = 0.93533548216845531947612335087776 absolute error = 1.5e-31 relative error = 1.6037026592024953846446029195676e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.933 Order of pole = 0.1346 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.3MB, time=64.86 x[1] = 0.945 y[1] (analytic) = 0.93540907060309898052244875774601 y[1] (numeric) = 0.93540907060309898052244875774586 absolute error = 1.5e-31 relative error = 1.6035764962519388976212249891962e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.934 Order of pole = 0.1345 TOP MAIN SOLVE Loop x[1] = 0.946 y[1] (analytic) = 0.93548255266886511797714734392898 y[1] (numeric) = 0.93548255266886511797714734392884 absolute error = 1.4e-31 relative error = 1.4965538331055984717721082645668e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.935 Order of pole = 0.1344 TOP MAIN SOLVE Loop memory used=1724.3MB, alloc=4.3MB, time=65.00 x[1] = 0.947 y[1] (analytic) = 0.93555592855864895710097957223376 y[1] (numeric) = 0.93555592855864895710097957223361 absolute error = 1.5e-31 relative error = 1.6033247764363524889659728125612e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.936 Order of pole = 0.1343 TOP MAIN SOLVE Loop x[1] = 0.948 y[1] (analytic) = 0.93562919846491417978697937513772 y[1] (numeric) = 0.93562919846491417978697937513758 absolute error = 1.4e-31 relative error = 1.4963192708147399580295206932628e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.937 Order of pole = 0.1342 TOP MAIN SOLVE Loop memory used=1728.1MB, alloc=4.3MB, time=65.15 x[1] = 0.949 y[1] (analytic) = 0.93570236257969409463947831521482 y[1] (numeric) = 0.93570236257969409463947831521467 absolute error = 1.5e-31 relative error = 1.6030738619325057864573649506042e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.938 Order of pole = 0.1341 TOP MAIN SOLVE Loop x[1] = 0.95 y[1] (analytic) = 0.93577542109459280327192900829811 y[1] (numeric) = 0.93577542109459280327192900829796 absolute error = 1.5e-31 relative error = 1.6029487056257834628825402984178e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.939 Order of pole = 0.134 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.3MB, time=65.29 x[1] = 0.951 y[1] (analytic) = 0.93584837420078636283787255694967 y[1] (numeric) = 0.93584837420078636283787255694952 absolute error = 1.5e-31 relative error = 1.6028237493931627529751791927701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.94 Order of pole = 0.1339 TOP MAIN SOLVE Loop x[1] = 0.952 y[1] (analytic) = 0.9359212220890239448093317241471 y[1] (numeric) = 0.93592122208902394480933172414694 absolute error = 1.6e-31 relative error = 1.7095455923402594962618172450229e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.941 Order of pole = 0.1338 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.3MB, time=65.44 x[1] = 0.953 y[1] (analytic) = 0.93599396494962899001684887603073 y[1] (numeric) = 0.93599396494962899001684887603057 absolute error = 1.6e-31 relative error = 1.7094127311879674841151296726885e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.942 Order of pole = 0.1337 TOP MAIN SOLVE Loop x[1] = 0.954 y[1] (analytic) = 0.93606660297250035996532533628781 y[1] (numeric) = 0.93606660297250035996532533628765 absolute error = 1.6e-31 relative error = 1.7092800821214690713378431980768e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.943 Order of pole = 0.1336 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.3MB, time=65.58 x[1] = 0.955 y[1] (analytic) = 0.93613913634711348443975672149336 y[1] (numeric) = 0.9361391363471134844397567214932 absolute error = 1.6e-31 relative error = 1.7091476447008960488816361906368e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.944 Order of pole = 0.1335 TOP MAIN SOLVE Loop x[1] = 0.956 y[1] (analytic) = 0.93621156526252150541489706470639 y[1] (numeric) = 0.93621156526252150541489706470623 absolute error = 1.6e-31 relative error = 1.7090154184875367348846855485564e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.945 Order of pole = 0.1334 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.3MB, time=65.73 x[1] = 0.957 y[1] (analytic) = 0.93628388990735641728282308207116 y[1] (numeric) = 0.936283889907356417282823082071 absolute error = 1.6e-31 relative error = 1.7088834030438322300983968151990e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.946 Order of pole = 0.1333 TOP MAIN SOLVE Loop x[1] = 0.958 y[1] (analytic) = 0.93635611046983020341230879234236 y[1] (numeric) = 0.93635611046983020341230879234219 absolute error = 1.7e-31 relative error = 1.8155485728042084808251764499169e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.947 Order of pole = 0.1332 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.3MB, time=65.87 x[1] = 0.959 y[1] (analytic) = 0.93642822713773596905385986039975 y[1] (numeric) = 0.93642822713773596905385986039958 absolute error = 1.7e-31 relative error = 1.8154087528909494482717102721564e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.948 Order of pole = 0.1331 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (analytic) = 0.93650024009844907060419650121036 y[1] (numeric) = 0.9365002400984490706041965012102 absolute error = 1.6e-31 memory used=1751.0MB, alloc=4.3MB, time=66.01 relative error = 1.7084886169722720877479227901126e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.949 Order of pole = 0.133 TOP MAIN SOLVE Loop x[1] = 0.961 y[1] (analytic) = 0.9365721495389282412439135486153 y[1] (numeric) = 0.93657214953892824124391354861514 absolute error = 1.6e-31 relative error = 1.7083574402545232308714271593581e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.95 Order of pole = 0.1329 TOP MAIN SOLVE Loop memory used=1754.8MB, alloc=4.3MB, time=66.16 x[1] = 0.962 y[1] (analytic) = 0.93664395564571671296198636205467 y[1] (numeric) = 0.93664395564571671296198636205451 absolute error = 1.6e-31 relative error = 1.7082264721357963789109420721268e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.951 Order of pole = 0.1328 TOP MAIN SOLVE Loop x[1] = 0.963 y[1] (analytic) = 0.93671565860494333498073161219997 y[1] (numeric) = 0.93671565860494333498073161219982 absolute error = 1.5e-31 relative error = 1.6013397301737857820580224936806e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.952 Order of pole = 0.1327 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.3MB, time=66.30 x[1] = 0.964 y[1] (analytic) = 0.93678725860232368859477265175079 y[1] (numeric) = 0.93678725860232368859477265175064 absolute error = 1.5e-31 relative error = 1.6012173374753020680496650901488e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.953 Order of pole = 0.1326 TOP MAIN SOLVE Loop x[1] = 0.965 y[1] (analytic) = 0.93685875582316119843750013869519 y[1] (numeric) = 0.93685875582316119843750013869504 absolute error = 1.5e-31 relative error = 1.6010951391301676061736277523795e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.954 Order of pole = 0.1325 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.3MB, time=66.45 x[1] = 0.966 y[1] (analytic) = 0.93693015045234824018845983446514 y[1] (numeric) = 0.93693015045234824018845983446499 absolute error = 1.5e-31 relative error = 1.6009731347377417835389121704386e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.955 Order of pole = 0.1324 TOP MAIN SOLVE Loop x[1] = 0.967 y[1] (analytic) = 0.93700144267436724473504104698264 y[1] (numeric) = 0.93700144267436724473504104698249 absolute error = 1.5e-31 relative error = 1.6008513238984303542535772884053e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.956 Order of pole = 0.1323 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.3MB, time=66.59 x[1] = 0.968 y[1] (analytic) = 0.93707263267329179880178102694524 y[1] (numeric) = 0.93707263267329179880178102694509 absolute error = 1.5e-31 relative error = 1.6007297062136820752950380858145e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.957 Order of pole = 0.1322 TOP MAIN SOLVE Loop x[1] = 0.969 y[1] (analytic) = 0.93714372063278774206054275320503 y[1] (numeric) = 0.93714372063278774206054275320488 absolute error = 1.5e-31 relative error = 1.6006082812859853553323018998648e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.958 Order of pole = 0.1321 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.3MB, time=66.73 x[1] = 0.97 y[1] (analytic) = 0.93721470673611426073476595812931 y[1] (numeric) = 0.93721470673611426073476595812916 absolute error = 1.5e-31 relative error = 1.6004870487188649164418312106255e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.959 Order of pole = 0.132 TOP MAIN SOLVE Loop x[1] = 0.971 y[1] (analytic) = 0.93728559116612497771093394477889 y[1] (numeric) = 0.93728559116612497771093394477874 absolute error = 1.5e-31 relative error = 1.6003660081168784686590228738955e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.96 Order of pole = 0.1319 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.3MB, time=66.88 x[1] = 0.972 y[1] (analytic) = 0.93735637410526903917034173299762 y[1] (numeric) = 0.93735637410526903917034173299747 absolute error = 1.5e-31 relative error = 1.6002451590856133973075930940650e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.961 Order of pole = 0.1318 TOP MAIN SOLVE Loop x[1] = 0.973 y[1] (analytic) = 0.93742705573559219775419433947933 y[1] (numeric) = 0.93742705573559219775419433947918 absolute error = 1.5e-31 relative error = 1.6001245012316834630494549937176e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.962 Order of pole = 0.1317 TOP MAIN SOLVE Loop memory used=1777.7MB, alloc=4.3MB, time=67.02 x[1] = 0.974 y[1] (analytic) = 0.9374976362387378922750075459825 y[1] (numeric) = 0.93749763623873789227500754598236 absolute error = 1.4e-31 relative error = 1.4933370985518771469581067044897e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.963 Order of pole = 0.1315 TOP MAIN SOLVE Loop x[1] = 0.975 y[1] (analytic) = 0.93756811579594832398722733852374 y[1] (numeric) = 0.93756811579594832398722733852359 absolute error = 1.5e-31 relative error = 1.5998837574873962140377601321782e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.964 Order of pole = 0.1314 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.3MB, time=67.17 x[1] = 0.976 y[1] (analytic) = 0.93763849458806552942992830703394 y[1] (numeric) = 0.9376384945880655294299283070338 absolute error = 1.4e-31 relative error = 1.4931127594276775230482182393161e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.965 Order of pole = 0.1313 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.3MB, time=67.31 x[1] = 0.977 y[1] (analytic) = 0.93770877279553244985439567805255 y[1] (numeric) = 0.93770877279553244985439567805241 absolute error = 1.4e-31 relative error = 1.4930008555068410640653941901873e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.966 Order of pole = 0.1312 TOP MAIN SOLVE Loop x[1] = 0.978 y[1] (analytic) = 0.93777895059839399724934031101803 y[1] (numeric) = 0.93777895059839399724934031101789 absolute error = 1.4e-31 relative error = 1.4928891281966438968675159716773e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.967 Order of pole = 0.1311 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.3MB, time=67.46 x[1] = 0.979 y[1] (analytic) = 0.93784902817629811697644092005462 y[1] (numeric) = 0.93784902817629811697644092005448 absolute error = 1.4e-31 relative error = 1.4927775771356092124524100999305e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.968 Order of pole = 0.131 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (analytic) = 0.93791900570849684702885298632768 y[1] (numeric) = 0.93791900570849684702885298632754 absolute error = 1.4e-31 relative error = 1.4926662019631969204446837009213e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.969 Order of pole = 0.1309 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.3MB, time=67.60 x[1] = 0.981 y[1] (analytic) = 0.93798888337384737392526929952891 y[1] (numeric) = 0.93798888337384737392526929952877 absolute error = 1.4e-31 relative error = 1.4925550023198006622256719166665e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.97 Order of pole = 0.1307 TOP MAIN SOLVE Loop x[1] = 0.982 y[1] (analytic) = 0.93805866135081308525206280934981 y[1] (numeric) = 0.93805866135081308525206280934967 absolute error = 1.4e-31 relative error = 1.4924439778467448354658090675730e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.971 Order of pole = 0.1306 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.3MB, time=67.75 x[1] = 0.983 y[1] (analytic) = 0.93812833981746461886598847741108 y[1] (numeric) = 0.93812833981746461886598847741094 absolute error = 1.4e-31 relative error = 1.4923331281862816300085280346877e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.972 Order of pole = 0.1305 TOP MAIN SOLVE Loop x[1] = 0.984 y[1] (analytic) = 0.93819791895148090876986709554794 y[1] (numeric) = 0.93819791895148090876986709554781 absolute error = 1.3e-31 relative error = 1.3856351349114746411225490611697e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.973 Order of pole = 0.1304 TOP MAIN SOLVE Loop memory used=1800.6MB, alloc=4.3MB, time=67.89 x[1] = 0.985 y[1] (analytic) = 0.93826739893015022767362057612919 y[1] (numeric) = 0.93826739893015022767362057612905 absolute error = 1.4e-31 relative error = 1.4921119518767630975997083680722e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.974 Order of pole = 0.1303 TOP MAIN SOLVE Loop x[1] = 0.986 y[1] (analytic) = 0.93833677993037122625297502274009 y[1] (numeric) = 0.93833677993037122625297502273996 absolute error = 1.3e-31 relative error = 1.3854300799084799783466553310701e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.975 Order of pole = 0.1301 TOP MAIN SOLVE Loop memory used=1804.4MB, alloc=4.3MB, time=68.03 x[1] = 0.987 y[1] (analytic) = 0.93840606212865396911809495362755 y[1] (numeric) = 0.93840606212865396911809495362742 absolute error = 1.3e-31 relative error = 1.3853277940800131795845020652406e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.975 Order of pole = 0.13 TOP MAIN SOLVE Loop x[1] = 0.988 y[1] (analytic) = 0.93847524570112096750435937433651 y[1] (numeric) = 0.93847524570112096750435937433637 absolute error = 1.4e-31 relative error = 1.4917814896162559074162432707782e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.976 Order of pole = 0.1299 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.3MB, time=68.18 x[1] = 0.989 y[1] (analytic) = 0.93854433082350820869743797851968 y[1] (numeric) = 0.93854433082350820869743797851955 absolute error = 1.3e-31 relative error = 1.3851237041294994127639723341037e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.977 Order of pole = 0.1298 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (analytic) = 0.93861331767116618220477359554288 y[1] (numeric) = 0.93861331767116618220477359554274 absolute error = 1.4e-31 relative error = 1.4915620454582938720740672579039e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.978 Order of pole = 0.1296 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.3MB, time=68.33 x[1] = 0.991 y[1] (analytic) = 0.93868220641906090268552509881173 y[1] (numeric) = 0.93868220641906090268552509881161 absolute error = 1.2e-31 relative error = 1.2783879270257282381235648322613e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.979 Order of pole = 0.1295 TOP MAIN SOLVE Loop x[1] = 0.992 y[1] (analytic) = 0.93875099724177492965097333829785 y[1] (numeric) = 0.93875099724177492965097333829772 absolute error = 1.3e-31 relative error = 1.3848187685761632694683045942100e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.98 Order of pole = 0.1294 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.3MB, time=68.47 x[1] = 0.993 y[1] (analytic) = 0.9388196903135083839473412631337 y[1] (numeric) = 0.93881969031350838394734126313358 absolute error = 1.2e-31 relative error = 1.2782007156233305665804628751660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.981 Order of pole = 0.1292 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.3MB, time=68.62 x[1] = 0.994 y[1] (analytic) = 0.93888828580807996103292825398181 y[1] (numeric) = 0.93888828580807996103292825398168 absolute error = 1.3e-31 relative error = 1.3846162740023104402230928562677e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.982 Order of pole = 0.1291 TOP MAIN SOLVE Loop x[1] = 0.995 y[1] (analytic) = 0.93895678389892794106140778877059 y[1] (numeric) = 0.93895678389892794106140778877047 absolute error = 1.2e-31 relative error = 1.2780140902940337192968722233782e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.983 Order of pole = 0.129 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.3MB, time=68.76 x[1] = 0.996 y[1] (analytic) = 0.93902518475911119578308691795041 y[1] (numeric) = 0.93902518475911119578308691795029 absolute error = 1.2e-31 relative error = 1.2779209966640424673701237968099e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.984 Order of pole = 0.1288 TOP MAIN SOLVE Loop x[1] = 0.997 y[1] (analytic) = 0.93909348856131019227587562528245 y[1] (numeric) = 0.93909348856131019227587562528233 absolute error = 1.2e-31 relative error = 1.2778280486625439067145576081190e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.985 Order of pole = 0.1287 TOP MAIN SOLVE Loop memory used=1827.3MB, alloc=4.3MB, time=68.91 x[1] = 0.998 y[1] (analytic) = 0.93916169547782799351766399596911 y[1] (numeric) = 0.939161695477827993517663995969 absolute error = 1.1e-31 relative error = 1.1712573088283168003670192947087e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.986 Order of pole = 0.1286 TOP MAIN SOLVE Loop x[1] = 0.999 y[1] (analytic) = 0.93922980568059125581175520430991 y[1] (numeric) = 0.9392298056805912558117552043098 absolute error = 1.1e-31 relative error = 1.1711723726685934164040386676050e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.987 Order of pole = 0.1284 Finished! diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; Iterations = 900 Total Elapsed Time = 1 Minutes 8 Seconds Elapsed Time(since restart) = 1 Minutes 8 Seconds Time to Timeout = 1 Minutes 51 Seconds Percent Done = 100.1 % > quit memory used=1830.0MB, alloc=4.3MB, time=69.00