|\^/| 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, 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) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < 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-1)*rm0-convfloat(m-2)*rm1; > if (omniabs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > 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 := false; > #TOP WHICH RADII EQ = 1 > if ( not found 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 := true; > 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"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found 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] > 0.0) 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 := true; > 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"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found 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 := true; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3; > fi;# end if 2; > if ( not found 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] > 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 := true; > 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"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found 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 := true; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found ) 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"); > 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, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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 or omniabs(array_y_higher[1, m - 1]) < glob_small_float or omniabs(array_y_higher[1, m - 2]) < 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 - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; 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 := false; if not found 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 := true; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if end if; if not found 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 0. < 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 := true; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used") end if end if end if; if not found 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 := true; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < 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 := true; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used") end if end if end if; if not found 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 := true; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if end if; if not found 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") 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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 FULL CONST $eq_no = 1 i = 1 > array_tmp1[1] := array_m1[1] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 1 > array_tmp3[1] := array_tmp2[1] / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 1 > array_tmp4[1] := array_tmp3[1] / array_x[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp5[1] := array_const_0D0[1] + array_tmp4[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_tmp5[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 FULL CONST $eq_no = 1 i = 2 > array_tmp1[2] := array_m1[2] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 2 > array_tmp2[2] := (array_tmp1[2] - array_tmp2[1] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 2 > array_tmp3[2] := (array_tmp2[2] - array_tmp3[1] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 2 > array_tmp4[2] := (array_tmp3[2] - array_tmp4[1] * array_x[2]) / array_x[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp5[2] := array_tmp4[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_tmp5[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 mult FULL CONST $eq_no = 1 i = 3 > array_tmp1[3] := array_m1[3] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 3 > array_tmp2[3] := (array_tmp1[3] - array_tmp2[2] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 3 > array_tmp3[3] := (array_tmp2[3] - array_tmp3[2] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 3 > array_tmp4[3] := (array_tmp3[3] - array_tmp4[2] * array_x[2]) / array_x[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp5[3] := array_tmp4[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_tmp5[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 mult FULL CONST $eq_no = 1 i = 4 > array_tmp1[4] := array_m1[4] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 4 > array_tmp2[4] := (array_tmp1[4] - array_tmp2[3] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 4 > array_tmp3[4] := (array_tmp2[4] - array_tmp3[3] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 4 > array_tmp4[4] := (array_tmp3[4] - array_tmp4[3] * array_x[2]) / array_x[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp5[4] := array_tmp4[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_tmp5[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 mult FULL CONST $eq_no = 1 i = 5 > array_tmp1[5] := array_m1[5] * array_const_2D0[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 5 > array_tmp2[5] := (array_tmp1[5] - array_tmp2[4] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 5 > array_tmp3[5] := (array_tmp2[5] - array_tmp3[4] * array_x[2]) / array_x[1]; > #emit pre div FULL - LINEAR $eq_no = 1 i = 5 > array_tmp4[5] := (array_tmp3[5] - array_tmp4[4] * array_x[2]) / array_x[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp5[5] := array_tmp4[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_tmp5[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 mult FULL CONST $eq_no = 1 i = 1 > array_tmp1[kkk] := array_m1[kkk] * array_const_2D0[1]; > #emit div FULL LINEAR $eq_no = 1 i = 1 > array_tmp2[kkk] := -ats(kkk,array_x,array_tmp2,2) / array_x[1]; > #emit div FULL LINEAR $eq_no = 1 i = 1 > array_tmp3[kkk] := -ats(kkk,array_x,array_tmp3,2) / array_x[1]; > #emit div FULL LINEAR $eq_no = 1 i = 1 > array_tmp4[kkk] := -ats(kkk,array_x,array_tmp4,2) / array_x[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp5[kkk] := array_tmp4[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_tmp5[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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_m1[1]*array_const_2D0[1]; array_tmp2[1] := array_tmp1[1]/array_x[1]; array_tmp3[1] := array_tmp2[1]/array_x[1]; array_tmp4[1] := array_tmp3[1]/array_x[1]; array_tmp5[1] := array_const_0D0[1] + array_tmp4[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[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_m1[2]*array_const_2D0[1]; array_tmp2[2] := (array_tmp1[2] - array_tmp2[1]*array_x[2])/array_x[1]; array_tmp3[2] := (array_tmp2[2] - array_tmp3[1]*array_x[2])/array_x[1]; array_tmp4[2] := (array_tmp3[2] - array_tmp4[1]*array_x[2])/array_x[1]; array_tmp5[2] := array_tmp4[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[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_tmp1[3] := array_m1[3]*array_const_2D0[1]; array_tmp2[3] := (array_tmp1[3] - array_tmp2[2]*array_x[2])/array_x[1]; array_tmp3[3] := (array_tmp2[3] - array_tmp3[2]*array_x[2])/array_x[1]; array_tmp4[3] := (array_tmp3[3] - array_tmp4[2]*array_x[2])/array_x[1]; array_tmp5[3] := array_tmp4[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[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_tmp1[4] := array_m1[4]*array_const_2D0[1]; array_tmp2[4] := (array_tmp1[4] - array_tmp2[3]*array_x[2])/array_x[1]; array_tmp3[4] := (array_tmp2[4] - array_tmp3[3]*array_x[2])/array_x[1]; array_tmp4[4] := (array_tmp3[4] - array_tmp4[3]*array_x[2])/array_x[1]; array_tmp5[4] := array_tmp4[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[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_tmp1[5] := array_m1[5]*array_const_2D0[1]; array_tmp2[5] := (array_tmp1[5] - array_tmp2[4]*array_x[2])/array_x[1]; array_tmp3[5] := (array_tmp2[5] - array_tmp3[4]*array_x[2])/array_x[1]; array_tmp4[5] := (array_tmp3[5] - array_tmp4[4]*array_x[2])/array_x[1]; array_tmp5[5] := array_tmp4[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[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_tmp1[kkk] := array_m1[kkk]*array_const_2D0[1]; array_tmp2[kkk] := -ats(kkk, array_x, array_tmp2, 2)/array_x[1]; array_tmp3[kkk] := -ats(kkk, array_x, array_tmp3, 2)/array_x[1]; array_tmp4[kkk] := -ats(kkk, array_x, array_tmp4, 2)/array_x[1]; array_tmp5[kkk] := array_tmp4[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_tmp5[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 := 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 15 > # Begin Function number 16 > 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 16 > # Begin Function number 17 > 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 17 > # Begin Function number 18 > 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 18 > # Begin Function number 19 > 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 19 > # Begin Function number 20 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 20 > # Begin Function number 21 > 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 21 > # Begin Function number 22 > 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 22 > # Begin Function number 23 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 24 > # Begin Function number 25 > 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 25 > # Begin Function number 26 > 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 26 > # Begin Function number 27 > 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 27 > # Begin Function number 28 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 28 > # Begin Function number 29 > 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 29 > # Begin Function number 30 > 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 30 > # Begin Function number 31 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 31 > # Begin Function number 32 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 33 > # Begin Function number 34 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 34 > # Begin Function number 35 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 35 > # Begin Function number 36 > 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 36 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(1.0/x/x); > end; exact_soln_y := proc(x) return 1.0/(x*x) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > 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, > array_tmp5, > 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_log10normmin := 0.1; > 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_hmax := 1.0; > glob_hmin := 0.00000000001; > glob_hmin_init := 0.001; > 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_log10_abserr := 0.1e-10; > glob_log10_relerr := 0.1e-10; > 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-50; > 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_log10abserr := 0.0; > glob_log10relerr := 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/sing3postode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ;"); > 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 := -1.0;"); > omniout_str(ALWAYS,"x_end := 0.7;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.0001;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 100;"); > 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(1.0/x/x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #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:= Array(0..(max_terms + 1),[]); > array_tmp5:= 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[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_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 := -1.0; > x_end := 0.7; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.0001; > glob_look_poles := true; > glob_max_iter := 100; > #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); > glob_abserr := expt(10.0 , (glob_log10_abserr)); > glob_relerr := expt(10.0 , (glob_log10_relerr)); > 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; > 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_log10normmin := -glob_large_float ; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3 > tmp := omniabs(array_y_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3; > display_alot(current_iter) > ; > 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 ) = m1 * 2.0 / x / x / x ;"); > 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,"2013-01-13T01:40:27-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sing3") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ;") > ; > 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," 156 ") > ; > logitem_str(html_log_file,"sing3 diffeq.mxt") > ; > logitem_str(html_log_file,"sing3 maple results") > ; > logitem_str(html_log_file,"Languages compared - single equations") > ; > 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, log10norm, 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, 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, array_tmp5, 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_log10normmin := 0.1; 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_hmax := 1.0; glob_hmin := 0.1*10^(-10); glob_hmin_init := 0.001; 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_log10_abserr := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); 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^(-50); 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_log10abserr := 0.; glob_log10relerr := 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/sing3postode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ;"); 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 := -1.0;"); omniout_str(ALWAYS, "x_end := 0.7;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.0001;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 100;"); 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(1.0/x/x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; 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 := Array(0 .. max_terms + 1, []); array_tmp5 := 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[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_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 := -1.0; x_end := 0.7; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.0001; glob_look_poles := true; glob_max_iter := 100; 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); glob_abserr := expt(10.0, glob_log10_abserr); glob_relerr := expt(10.0, glob_log10_relerr); 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; 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_log10normmin := -glob_large_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); 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 ) = m1 * 2.0 / x / x / x ;"); 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, "2013-01-13T01:40:27-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sing3"); logitem_str(html_log_file, "diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ;"); 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, " 156 "); logitem_str(html_log_file, "sing3 diffeq.mxt"); logitem_str(html_log_file, "sing3 maple results") ; logitem_str(html_log_file, "Languages compared - single equations"); 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/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -1.0; x_end := 0.7; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.0001; glob_look_poles := true; glob_max_iter := 100; #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(1.0/x/x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 1.7 estimated_steps = 1700 step_error = 5.8823529411764705882352941176471e-14 est_needed_step_err = 5.8823529411764705882352941176471e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.1544019772588522588522588522589e-78 max_value3 = 1.1544019772588522588522588522589e-78 value3 = 1.1544019772588522588522588522589e-78 best_h = 0.001 START of Soultion x[1] = -1 y[1] (analytic) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 TOP MAIN SOLVE Loop x[1] = -1 y[1] (analytic) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used Radius of convergence = 1 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.999 y[1] (analytic) = 1.002003004005006007008009010011 y[1] (numeric) = 1.0020030040050060050042894676221 absolute error = 2.0037195423889e-18 relative error = 1.9997141070236645889000000000000e-16 % Correct digits = 17 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.998 y[1] (analytic) = 1.0040120320801924490263091312887 y[1] (numeric) = 1.0040120320801924450027641566564 absolute error = 4.0235449746323e-18 relative error = 4.0074668889136693291999999999997e-16 % Correct digits = 17 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.997 y[1] (analytic) = 1.0060271084064631205552464816717 y[1] (numeric) = 1.0060271084064631144956243970799 absolute error = 6.0596220845918e-18 relative error = 6.0233188886830105262000000000000e-16 % Correct digits = 17 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.996 y[1] (analytic) = 1.0080482572861728036644570248866 y[1] (numeric) = 1.0080482572861727955523588970067 absolute error = 8.1120981278799e-18 relative error = 8.0473311364269068784000000000008e-16 % Correct digits = 17 h = 0.001 Real estimate of pole used Radius of convergence = 0.996 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.995 y[1] (analytic) = 1.0100755031438600035352642610035 y[1] (numeric) = 1.0100755031438599933541424168727 absolute error = 1.01811218441308e-17 relative error = 1.0079565153735595270000000000000e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.994 y[1] (analytic) = 1.0121088705269848467059904699829 y[1] (numeric) = 1.0121088705269848344391469965151 absolute error = 1.22668434734678e-17 relative error = 1.2120082958151231240800000000000e-15 % Correct digits = 16 h = 0.001 Complex estimate of poles used Radius of convergence = 0.3555 Order of pole = 5.30e-28 TOP MAIN SOLVE Loop x[1] = -0.993 y[1] (analytic) = 1.0141483841066721836338762069633 y[1] (numeric) = 1.014148384106672169264461433792 absolute error = 1.43694147731713e-17 relative error = 1.4168947067670787193700000000001e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.992 y[1] (analytic) = 1.0161940686784599375650364203955 y[1] (numeric) = 1.0161940686784599210760473858469 absolute error = 1.64889890345486e-17 relative error = 1.6226220505294033510399999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.991 y[1] (analytic) = 1.0182459491630527420854287986429 y[1] (numeric) = 1.0182459491630527234597076986353 absolute error = 1.86257211000076e-17 relative error = 1.8291966803616563815600000000000e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.99 y[1] (analytic) = 1.0203040506070809101112131415162 y[1] (numeric) = 1.0203040506070808893314457611764 absolute error = 2.07797673803398e-17 relative error = 2.0366250009471037979999999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.989 y[1] (analytic) = 1.0223683981838647774661826093091 y[1] (numeric) = 1.0223683981838647545148967370972 absolute error = 2.29512858722119e-17 relative error = 2.2449134688613775839899999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=3.8MB, alloc=3.0MB, time=0.19 x[1] = -0.988 y[1] (analytic) = 1.0244390171941844645871920536315 y[1] (numeric) = 1.0244390171941844394467558777599 absolute error = 2.51404361758716e-17 relative error = 2.4540685930460007110399999999998e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.988 Order of pole = 2.2e-29 TOP MAIN SOLVE Loop x[1] = -0.987 y[1] (analytic) = 1.0265159330670551002957392403166 y[1] (numeric) = 1.0265159330670550729483597272483 absolute error = 2.73473795130683e-17 relative error = 2.6640969352866232742700000000000e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.987 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.986 y[1] (analytic) = 1.0285991713605075519751161288464 y[1] (numeric) = 1.0285991713605075224028373836527 absolute error = 2.95722787451937e-17 relative error = 2.8750051106962334365200000000001e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.986 Order of pole = 1.5e-29 TOP MAIN SOLVE Loop x[1] = -0.985 y[1] (analytic) = 1.0306887577623747068978845113247 y[1] (numeric) = 1.030688757762374675082586119682 absolute error = 3.18152983916427e-17 relative error = 3.0867997882031538607500000000000e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.985 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.984 y[1] (analytic) = 1.0327847180910833498578888227906 y[1] (numeric) = 1.032784718091083315781284174391 absolute error = 3.40766046483996e-17 relative error = 3.2994876910440803097600000000002e-15 % Correct digits = 16 h = 0.001 Complex estimate of poles used Radius of convergence = 0.6796 Order of pole = 1.352e-27 TOP MAIN SOLVE Loop x[1] = -0.983 y[1] (analytic) = 1.0348870782964516826746449561156 y[1] (numeric) = 1.0348870782964516463182795492634 absolute error = 3.63563654068522e-17 relative error = 3.5130755972621805485800000000000e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.983 Order of pole = 4.1e-29 TOP MAIN SOLVE Loop x[1] = -0.982 y[1] (analytic) = 1.0369958644604925315557841555328 y[1] (numeric) = 1.0369958644604924929010338826977 absolute error = 3.86547502728351e-17 relative error = 3.7275703402101434972400000000000e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.981 y[1] (analytic) = 1.0391111027982222887253328013085 y[1] (numeric) = 1.0391111027982222477534022154004 absolute error = 4.09719305859081e-17 relative error = 3.9429788090585105024099999999998e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.98 y[1] (analytic) = 1.0412328196584756351520199916701 y[1] (numeric) = 1.0412328196584755918439405527999 absolute error = 4.33080794388702e-17 relative error = 4.1593079493090940080000000000001e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.98 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.979 y[1] (analytic) = 1.0433610415247260916425737212828 y[1] (numeric) = 1.0433610415247260459792020237682 absolute error = 4.56633716975146e-17 relative error = 4.3765647633137590738600000000000e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.978 y[1] (analytic) = 1.0454957950159124460001421874281 y[1] (numeric) = 1.0454957950159123979621581668031 absolute error = 4.80379840206250e-17 relative error = 4.5947563107983482500000000000001e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.977 y[1] (analytic) = 1.0476371068872711043876089673546 y[1] (numeric) = 1.0476371068872710539555140871343 absolute error = 5.04320948802203e-17 relative error = 4.8138897093921802738699999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.976 y[1] (analytic) = 1.0497850040311744154797097554421 y[1] (numeric) = 1.049785004031174362633825173395 absolute error = 5.28458845820471e-17 relative error = 5.0339721351628098329599999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.975 y[1] (analytic) = 1.0519395134779750164365548980933 y[1] (numeric) = 1.0519395134779749611570196117669 absolute error = 5.52795352863264e-17 relative error = 5.2550108231564034000000000000003e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.975 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.974 y[1] (analytic) = 1.0541006623968562501844676159194 y[1] (numeric) = 1.0541006623968561924512365871633 absolute error = 5.77332310287561e-17 relative error = 5.4770130679436221923600000000003e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.974 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.973 y[1] (analytic) = 1.056268478096688703948014690582 y[1] (numeric) = 1.0562684780966886437408569488092 absolute error = 6.02071577417728e-17 relative error = 5.6999862241710821171200000000000e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.973 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.972 y[1] (analytic) = 1.0584429880268929194397872952971 y[1] (numeric) = 1.0584429880268928567382840192193 absolute error = 6.27015032760778e-17 relative error = 5.9239377071185888195200000000001e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.972 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.971 y[1] (analytic) = 1.0606242197783083255819379937868 y[1] (numeric) = 1.0606242197783082603654805713576 absolute error = 6.52164574224292e-17 relative error = 6.1488749932620569357200000000004e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.971 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.97 y[1] (analytic) = 1.0628122010840684451057498140078 y[1] (numeric) = 1.0628122010840683773535378803033 absolute error = 6.77522119337045e-17 relative error = 6.3748056208422564050000000000004e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.97 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.969 y[1] (analytic) = 1.0650069598204824268526594821297 y[1] (numeric) = 1.0650069598204823565436989348924 absolute error = 7.03089605472373e-17 relative error = 6.6017371904394482445300000000001e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.968 y[1] (analytic) = 1.0672085240079229560822348200259 y[1] (numeric) = 1.0672085240079228831953358125945 absolute error = 7.28868990074314e-17 relative error = 6.8296773655539400153600000000003e-15 % Correct digits = 16 h = 0.001 Complex estimate of poles used Radius of convergence = 1.228 Order of pole = 2.823e-27 TOP MAIN SOLVE Loop x[1] = -0.967 y[1] (analytic) = 1.0694169218117205955796720953835 y[1] (numeric) = 1.0694169218117205200934470067265 absolute error = 7.54862250886570e-17 relative error = 7.0586338731927185472999999999996e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.967 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.966 y[1] (analytic) = 1.0716321815430646108474895944516 y[1] (numeric) = 1.0716321815430645327403509760207 absolute error = 7.81071386184309e-17 relative error = 7.2886145044620504920399999999994e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.2MB, time=0.44 x[1] = -0.965 y[1] (analytic) = 1.0738543316599103331633063974872 y[1] (numeric) = 1.0738543316599102524134648966001 absolute error = 8.07498415008871e-17 relative error = 7.5196271151663589697499999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.964 y[1] (analytic) = 1.0760834007678931147879685267127 y[1] (numeric) = 1.0760834007678930313734307861728 absolute error = 8.34145377405399e-17 relative error = 7.7516796264132766910400000000000e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.964 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.963 y[1] (analytic) = 1.078319417621248931115877282937 y[1] (numeric) = 1.0783194176212488450144438165935 absolute error = 8.61014334663435e-17 relative error = 7.9847800252249505251500000000000e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.963 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.962 y[1] (analytic) = 1.0805624111237416850722464028077 y[1] (numeric) = 1.0805624111237415962615094467548 absolute error = 8.88107369560529e-17 relative error = 8.2189363651557419987600000000003e-15 % Correct digits = 16 h = 0.001 Complex estimate of poles used Radius of convergence = 0.8509 Order of pole = 6.31e-28 TOP MAIN SOLVE Loop x[1] = -0.961 y[1] (analytic) = 1.0828124103295972695802261128875 y[1] (numeric) = 1.0828124103295971780375674519971 absolute error = 9.15426586608904e-17 relative error = 8.4541567669164163098400000000002e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.96 y[1] (analytic) = 1.0850694444444444444444444444445 y[1] (numeric) = 1.0850694444444443501470332139242 absolute error = 9.42974112305203e-17 relative error = 8.6904494190047508479999999999996e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.96 Order of pole = 1.7e-29 TOP MAIN SOLVE Loop x[1] = -0.959 y[1] (analytic) = 1.0873335428262625845265912854566 y[1] (numeric) = 1.0873335428262624874513817471191 absolute error = 9.70752095383375e-17 relative error = 8.9278225783427770337499999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.958 y[1] (analytic) = 1.0896047349863363566232713420879 y[1] (numeric) = 1.0896047349863362567470006350136 absolute error = 9.98762707070743e-17 relative error = 9.1662845709207337865200000000004e-15 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.958 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.957 y[1] (analytic) = 1.0918830505902173829965420063788 y[1] (numeric) = 1.0918830505902172802957278716504 absolute error = 1.027008141347284e-16 relative error = 9.4058437924476870411599999999998e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.956 y[1] (analytic) = 1.0941685194586929500533954237496 y[1] (numeric) = 1.0941685194586928445043339029325 absolute error = 1.055490615208171e-16 relative error = 9.6465087090089497105599999999999e-15 % Correct digits = 16 h = 0.001 Complex estimate of poles used Radius of convergence = 0.6551 Order of pole = 9.371e-27 TOP MAIN SOLVE Loop x[1] = -0.955 y[1] (analytic) = 1.0964611715687618212220059757134 y[1] (numeric) = 1.0964611715687617128007690827497 absolute error = 1.084212368929637e-16 relative error = 9.8882878577305218492499999999999e-15 % Correct digits = 16 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.954 y[1] (analytic) = 1.0987610370546172136299109124551 y[1] (numeric) = 1.0987610370546171023123442786374 absolute error = 1.113175666338177e-16 relative error = 1.0131189847450362985320000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.954 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.953 y[1] (analytic) = 1.1010681462086369987524897903456 y[1] (numeric) = 1.1010681462086368845142102820296 absolute error = 1.142382795083160e-16 relative error = 1.0375223359396816604400000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.952 y[1] (analytic) = 1.1033825294823811877692253371937 y[1] (numeric) = 1.1033825294823810705856186459057 absolute error = 1.171836066912880e-16 relative error = 1.0620397147874107955200000000000e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.6875 Order of pole = 7.2e-29 TOP MAIN SOLVE Loop x[1] = -0.951 y[1] (analytic) = 1.1057042174875967629403328833117 y[1] (numeric) = 1.1057042174875966427865510879009 absolute error = 1.201537817954108e-16 relative error = 1.0866720040955132293080000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.951 Order of pole = 8.4e-29 TOP MAIN SOLVE Loop x[1] = -0.95 y[1] (analytic) = 1.1080332409972299168975069252078 y[1] (numeric) = 1.1080332409972297937484660256899 absolute error = 1.231490408995179e-16 relative error = 1.1114200941181490475000000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.95 Order of pole = 5.7e-29 TOP MAIN SOLVE Loop x[1] = -0.949 y[1] (analytic) = 1.1103696309464457623298219744371 y[1] (numeric) = 1.1103696309464456361601993971702 absolute error = 1.261696225772669e-16 relative error = 1.1362848826270914740690000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.948 y[1] (analytic) = 1.1127134184336555751393117199879 y[1] (numeric) = 1.1127134184336554459235437938161 absolute error = 1.292157679261718e-16 relative error = 1.1612672749832230134720000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.947 y[1] (analytic) = 1.1150646347215516347405077335307 y[1] (numeric) = 1.1150646347215515024527871365274 absolute error = 1.322877205970033e-16 relative error = 1.1863681842087793246970000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.946 y[1] (analytic) = 1.117423311238149725784319422158 y[1] (numeric) = 1.1174233112381495903985925985938 absolute error = 1.353857268235642e-16 relative error = 1.2115885310603677960720000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.945 y[1] (analytic) = 1.119789479577839366199154558943 y[1] (numeric) = 1.1197894795778392276891191061003 absolute error = 1.385100354528427e-16 relative error = 1.2369292441027485216749999999999e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.7581 Order of pole = 1.332e-26 TOP MAIN SOLVE Loop x[1] = -0.944 y[1] (analytic) = 1.1221631715024418270611893134157 y[1] (numeric) = 1.1221631715024416854002913378649 absolute error = 1.416608979755508e-16 relative error = 1.2623912597834043770880000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.943 y[1] (analytic) = 1.1245444189422760104312740301086 y[1] (numeric) = 1.1245444189422758655927054730551 absolute error = 1.448385685570535e-16 relative error = 1.2879755225079126782149999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.3MB, time=0.68 x[1] = -0.942 y[1] (analytic) = 1.1269332539972322519281827975893 y[1] (numeric) = 1.1269332539972321038848787288984 absolute error = 1.480433040686909e-16 relative error = 1.3136829847160983178760000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.941 y[1] (analytic) = 1.1293297089378541154468588258811 y[1] (numeric) = 1.1293297089378539641714947063784 absolute error = 1.512753641195027e-16 relative error = 1.3395146069590137029870000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.94 y[1] (analytic) = 1.131733816206428248076052512449 y[1] (numeric) = 1.1317338162064280935410414240911 absolute error = 1.545350110883579e-16 relative error = 1.3654713579767304044000000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.94 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.939 y[1] (analytic) = 1.1341456084180823639223745379774 y[1] (numeric) = 1.1341456084180822060998643814802 absolute error = 1.578225101564972e-16 relative error = 1.3915542147769686768120000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.939 Order of pole = 4.2e-29 TOP MAIN SOLVE Loop x[1] = -0.938 y[1] (analytic) = 1.1365651183618914262073731252358 y[1] (numeric) = 1.1365651183618912650692437847442 absolute error = 1.611381293404916e-16 relative error = 1.4177641627145549131040000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.938 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.937 y[1] (analytic) = 1.1389923790019920976708744841789 y[1] (numeric) = 1.138992379001991933188734958553 absolute error = 1.644821395256259e-16 relative error = 1.4441021955717424579709999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.936 y[1] (analytic) = 1.1414274234787055299875812696326 y[1] (numeric) = 1.1414274234787053621327667699228 absolute error = 1.678548144997098e-16 relative error = 1.4705693156393775694079999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.936 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.935 y[1] (analytic) = 1.1438702851096685635848894735337 y[1] (numeric) = 1.1438702851096683923284584862076 absolute error = 1.712564309873261e-16 relative error = 1.4971665337989515977250000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.935 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.934 y[1] (analytic) = 1.1463209973909734099381445189808 y[1] (numeric) = 1.1463209973909732352508758344625 absolute error = 1.746872686845183e-16 relative error = 1.5238948696055164611480000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.934 Order of pole = 4.9e-29 TOP MAIN SOLVE Loop x[1] = -0.933 y[1] (analytic) = 1.1487795939983158891151984689065 y[1] (numeric) = 1.1487795939983157109675881749796 absolute error = 1.781476102939269e-16 relative error = 1.5507553513715013325410000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.932 y[1] (analytic) = 1.151246108788152296045239367091 y[1] (numeric) = 1.1512461087881521144074978067119 absolute error = 1.816377415603791e-16 relative error = 1.5777490162514273535839999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.932 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.931 y[1] (analytic) = 1.1537205757988649696975290766429 y[1] (numeric) = 1.1537205757988647845395777697049 absolute error = 1.851579513069380e-16 relative error = 1.6048769103275288781799999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.931 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.93 y[1] (analytic) = 1.1562030292519366400739969938722 y[1] (numeric) = 1.1562030292519364513654655224526 absolute error = 1.887085314714196e-16 relative error = 1.6321400886963081203999999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.929 y[1] (analytic) = 1.158693503553133628645684272242 y[1] (numeric) = 1.1586935035531334363559071288605 absolute error = 1.922897771433815e-16 relative error = 1.6595396155560111314150000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.928 y[1] (analytic) = 1.1611920332936979785969084423306 y[1] (numeric) = 1.1611920332936977826949218407382 absolute error = 1.959019866015924e-16 relative error = 1.6870765642950574940159999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.927 y[1] (analytic) = 1.1636986532515485919828144982888 y[1] (numeric) = 1.1636986532515483924373531463017 absolute error = 1.995454613519871e-16 relative error = 1.7147520175814172265590000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.927 Order of pole = 6.3e-29 TOP MAIN SOLVE Loop x[1] = -0.926 y[1] (analytic) = 1.1662133983924914516557897830377 y[1] (numeric) = 1.166213398392491248435283616922 absolute error = 2.032205061661157e-16 relative error = 1.7425670674529622597319999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.925 y[1] (analytic) = 1.1687363038714390065741417092769 y[1] (numeric) = 1.1687363038714387996467125891844 absolute error = 2.069274291200925e-16 relative error = 1.7705228154087914531249999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.924 y[1] (analytic) = 1.1712674050336387998725661063324 y[1] (numeric) = 1.17126740503363858920602447228 absolute error = 2.106665416340524e-16 relative error = 1.7986203725015472186239999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.924 Order of pole = 2.7e-29 TOP MAIN SOLVE Loop x[1] = -0.923 y[1] (analytic) = 1.1738067374159114198483676456606 y[1] (numeric) = 1.1738067374159112054102091335387 absolute error = 2.144381585121219e-16 relative error = 1.8268608594307349814510000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.923 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.922 y[1] (analytic) = 1.1763543367478978548002315065335 y[1] (numeric) = 1.1763543367478976365576335236216 absolute error = 2.182425979829119e-16 relative error = 1.8552454066370567959960000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.921 y[1] (analytic) = 1.1789102389533163334476876265118 y[1] (numeric) = 1.1789102389533161113675058859729 absolute error = 2.220801817405389e-16 relative error = 1.8837751543977645707490000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.921 Order of pole = 5.6e-29 TOP MAIN SOLVE Loop x[1] = -0.92 y[1] (analytic) = 1.1814744801512287334593572778828 y[1] (numeric) = 1.1814744801512285075081222916985 absolute error = 2.259512349861843e-16 relative error = 1.9124512529230639152000000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.3MB, time=0.93 x[1] = -0.919 y[1] (analytic) = 1.1840470966573166414267293895882 y[1] (numeric) = 1.1840470966573164115706429193915 absolute error = 2.298560864701967e-16 relative error = 1.9412748624535579514870000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.918 y[1] (analytic) = 1.1866281249851671484376854106446 y[1] (numeric) = 1.1866281249851669146426168758979 absolute error = 2.337950685347467e-16 relative error = 1.9702471533587587801079999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.917 y[1] (analytic) = 1.1892176018475684662303823691356 y[1] (numeric) = 1.1892176018475682284618652120942 absolute error = 2.377685171570414e-16 relative error = 1.9993693062366738580459999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.916 y[1] (analytic) = 1.1918155641578154497435212905932 y[1] (numeric) = 1.1918155641578152079667492974862 absolute error = 2.417767719931070e-16 relative error = 2.0286425120144838699200000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.916 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.915 y[1] (analytic) = 1.194422049031025112723580877303 y[1] (numeric) = 1.1944220490310248669034044551554 absolute error = 2.458201764221476e-16 relative error = 2.0580679720503252441000000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.914 y[1] (analytic) = 1.1970370937854622239033943183832 y[1] (numeric) = 1.1970370937854619740043167268966 absolute error = 2.498990775914866e-16 relative error = 2.0876468982361753969359999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.914 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.913 y[1] (analytic) = 1.1996607359438750721296017486255 y[1] (numeric) = 1.1996607359438748181157752865233 absolute error = 2.540138264621022e-16 relative error = 2.1173805131018806875180000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.912 y[1] (analytic) = 1.202293013234841489689135118498 y[1] (numeric) = 1.2022930132348412315243572637345 absolute error = 2.581647778547635e-16 relative error = 2.1472700499203241254400000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.912 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.911 y[1] (analytic) = 1.2049339635941252239671004830581 y[1] (numeric) = 1.2049339635941249616148099862824 absolute error = 2.623522904967757e-16 relative error = 2.1773167528137458571969999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.911 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.91 y[1] (analytic) = 1.2075836251660427484603308779133 y[1] (numeric) = 1.20758362516604248188360380857 absolute error = 2.665767270693433e-16 relative error = 2.2075218768612318673000000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.91 Order of pole = 7.2e-29 TOP MAIN SOLVE Loop x[1] = -0.909 y[1] (analytic) = 1.2102420363048406050726084709681 y[1] (numeric) = 1.2102420363048403342341542154061 absolute error = 2.708384542555620e-16 relative error = 2.2378866882074002492200000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.909 Order of pole = 4.6e-29 TOP MAIN SOLVE Loop x[1] = -0.908 y[1] (analytic) = 1.2129092355760833705292165576665 y[1] (numeric) = 1.212909235576083095391373768622 absolute error = 2.751378427890445e-16 relative error = 2.2684124641722678464800000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.908 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.907 y[1] (analytic) = 1.2155852617580523406702007782176 y[1] (numeric) = 1.2155852617580520611949332750239 absolute error = 2.794752675031937e-16 relative error = 2.2991004933623479411130000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.907 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.906 y[1] (analytic) = 1.2182701538431550273136168491636 y[1] (numeric) = 1.2182701538431547434625094680346 absolute error = 2.838511073811290e-16 relative error = 2.3299520757829640384399999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.905 y[1] (analytic) = 1.220963951039345563322242910778 y[1] (numeric) = 1.2209639510393452750564973045011 absolute error = 2.882657456062769e-16 relative error = 2.3609685229518093802250000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.904 y[1] (analytic) = 1.2236666927715561124598637324771 y[1] (numeric) = 1.2236666927715558197402941188403 absolute error = 2.927195696136368e-16 relative error = 2.3921511580137781114880000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.904 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.903 y[1] (analytic) = 1.2263784186831393815864185948401 y[1] (numeric) = 1.2263784186831390843734474531133 absolute error = 2.972129711417268e-16 relative error = 2.4235013158570430826120000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.902 y[1] (analytic) = 1.2290991686373223337151734750567 y[1] (numeric) = 1.2290991686373220319688271898302 absolute error = 3.017463462852265e-16 relative error = 2.4550203432304542130599999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.902 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.901 y[1] (analytic) = 1.2318289827186712014397617150016 y[1] (numeric) = 1.2318289827186708951196661666818 absolute error = 3.063200955483198e-16 relative error = 2.4867095988622156195980000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.901 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.9 y[1] (analytic) = 1.2345679012345679012345679012346 y[1] (numeric) = 1.2345679012345675902999440024812 absolute error = 3.109346238987534e-16 relative error = 2.5185704535799025399999999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.9 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.899 y[1] (analytic) = 1.2373159647166979501386412538465 y[1] (numeric) = 1.2373159647166976345483004312289 absolute error = 3.155903408226176e-16 relative error = 2.5506042904318036693760000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.898 y[1] (analytic) = 1.24007321392254998735125321799 y[1] (numeric) = 1.2400732139225496670635928381276 absolute error = 3.202876603798624e-16 relative error = 2.5828125048096255880960000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.897 y[1] (analytic) = 1.2428396898369270042964968077662 y[1] (numeric) = 1.2428396898369266792694955472085 absolute error = 3.250270012605577e-16 relative error = 2.6151965045725607043930000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.3MB, time=1.18 x[1] = -0.896 y[1] (analytic) = 1.2456154336734693877551020408163 y[1] (numeric) = 1.2456154336734690579463151989063 absolute error = 3.298087868419100e-16 relative error = 2.6477577101727481856000000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.895 y[1] (analytic) = 1.248400486876189881714053868481 y[1] (numeric) = 1.2484004868761895470806086224358 absolute error = 3.346334452460452e-16 relative error = 2.6804975547821335633000000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.895 Order of pole = 3.5e-29 TOP MAIN SOLVE Loop x[1] = -0.894 y[1] (analytic) = 1.2511948911210205746487895940623 y[1] (numeric) = 1.2511948911210202351473801954923 absolute error = 3.395014093985700e-16 relative error = 2.7134174844207549252000000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.893 y[1] (analytic) = 1.253998688317372020028867049805 y[1] (numeric) = 1.2539986883173716756157499618826 absolute error = 3.444131170879224e-16 relative error = 2.7465189580864662995760000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.893 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.892 y[1] (analytic) = 1.2568119206097045989261798950311 y[1] (numeric) = 1.256811920609704249557168869508 absolute error = 3.493690110255231e-16 relative error = 2.7798034478861181183839999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.892 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.891 y[1] (analytic) = 1.2596346303791122347052014092792 y[1] (numeric) = 1.2596346303791118803356625025402 absolute error = 3.543695389067390e-16 relative error = 2.8132724391682086405900000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.89 y[1] (analytic) = 1.2624668602449185708875142027521 y[1] (numeric) = 1.2624668602449182114723607300795 absolute error = 3.594151534726726e-16 relative error = 2.8469274306570396646000000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.889 y[1] (analytic) = 1.2653086530662857244081835102445 y[1] (numeric) = 1.2653086530662853599018709374581 absolute error = 3.645063125727864e-16 relative error = 2.8807699345883712043440000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.888 y[1] (analytic) = 1.2681600519438357276195114032952 y[1] (numeric) = 1.2681600519438353579760321749181 absolute error = 3.696434792283771e-16 relative error = 2.9148014768466139194240000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.888 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.887 y[1] (analytic) = 1.2710211002212847735485256790747 y[1] (numeric) = 1.271021100221284398721403982164 absolute error = 3.748271216969107e-16 relative error = 2.9490235971035673452830000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.886 y[1] (analytic) = 1.2738918414870903800783698260883 y[1] (numeric) = 1.2738918414870900000206562888556 absolute error = 3.800577135372327e-16 relative error = 2.9834378489587352056920000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.885 y[1] (analytic) = 1.276772319576111589900730952153 y[1] (numeric) = 1.2767723195761112045649972764897 absolute error = 3.853357336756633e-16 relative error = 3.0180458000812138814249999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.885 Order of pole = 5.2e-29 TOP MAIN SOLVE Loop x[1] = -0.884 y[1] (analytic) = 1.2796625785712823242767347105915 y[1] (numeric) = 1.2796625785712819336150682375971 absolute error = 3.906616664729944e-16 relative error = 3.0528490323532031184640000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.883 y[1] (analytic) = 1.282562662805298009847516125019 y[1] (numeric) = 1.2825626628052976138115143326196 absolute error = 3.960360017923994e-16 relative error = 3.0878491420151409578660000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.882 y[1] (analytic) = 1.2854726168623155989531111008273 y[1] (numeric) = 1.2854726168623151974938760325579 absolute error = 4.014592350682694e-16 relative error = 3.1230477398124840472560000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.881 y[1] (analytic) = 1.2883924855796671051495759256134 y[1] (numeric) = 1.2883924855796666982177085496236 absolute error = 4.069318673759898e-16 relative error = 3.1584464511441561915779999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.881 Order of pole = 5.4e-29 TOP MAIN SOLVE Loop x[1] = -0.88 y[1] (analytic) = 1.2913223140495867768595041322314 y[1] (numeric) = 1.2913223140495863644050986295592 absolute error = 4.124544055026722e-16 relative error = 3.1940469162126935168000000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.879 y[1] (analytic) = 1.2942621476209520333505470198967 y[1] (numeric) = 1.2942621476209516153231850010424 absolute error = 4.180273620188543e-16 relative error = 3.2298507901760960520630000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.879 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.878 y[1] (analytic) = 1.2972120319010382885103335910461 y[1] (numeric) = 1.2972120319010378648590782398632 absolute error = 4.236512553511829e-16 relative error = 3.2658597433014127868360000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.878 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.877 y[1] (analytic) = 1.3001720127572877891745077873803 y[1] (numeric) = 1.3001720127572873598478979312856 absolute error = 4.293266098560947e-16 relative error = 3.3020754611200826051629999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.876 y[1] (analytic) = 1.3031421363190925960676382894435 y[1] (numeric) = 1.3031421363190921610136823949344 absolute error = 4.350539558945091e-16 relative error = 3.3384996445850481512160000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.875 y[1] (analytic) = 1.306122448979591836734693877551 y[1] (numeric) = 1.3061224489795913959008639700017 absolute error = 4.408338299075493e-16 relative error = 3.3751340102296743281250000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.875 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.874 y[1] (analytic) = 1.3091129973974833611738030779865 y[1] (numeric) = 1.3091129973974829145070285846809 absolute error = 4.466667744933056e-16 relative error = 3.4119802903284830850559999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.874 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.873 y[1] (analytic) = 1.3121138284988499322293207580344 y[1] (numeric) = 1.3121138284988494796759822733769 absolute error = 4.525533384846575e-16 relative error = 3.4490402330597353581750000000000e-14 % Correct digits = 15 h = 0.001 memory used=22.8MB, alloc=4.3MB, time=1.42 Real estimate of pole used Radius of convergence = 0.873 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.872 y[1] (analytic) = 1.315124989479000084167999326656 y[1] (numeric) = 1.3151249894789996256739222984857 absolute error = 4.584940770281703e-16 relative error = 3.4863156026698824539520000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.872 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.871 y[1] (analytic) = 1.318146527804323784240503742877 y[1] (numeric) = 1.3181465278043233197509520787955 absolute error = 4.644895516640815e-16 relative error = 3.5238081796399045324150000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.871 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.87 y[1] (analytic) = 1.3211784912141630334258158277183 y[1] (numeric) = 1.3211784912141625628854854203237 absolute error = 4.705403304073946e-16 relative error = 3.5615197608535697274000000000001e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2088 Order of pole = 3.699e-27 TOP MAIN SOLVE Loop x[1] = -0.869 y[1] (analytic) = 1.3242209277226975439674453527129 y[1] (numeric) = 1.3242209277226970673204575226173 absolute error = 4.766469878300956e-16 relative error = 3.5994521597676282339159999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.869 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.868 y[1] (analytic) = 1.3272738856208456327380067531696 y[1] (numeric) = 1.3272738856208451499279016086593 absolute error = 4.828101051445103e-16 relative error = 3.6376072065839752826719999999998e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.868 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.867 y[1] (analytic) = 1.3303374134781804709128376230063 y[1] (numeric) = 1.3303374134781799818825673351879 absolute error = 4.890302702878184e-16 relative error = 3.6759867484237992527760000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.866 y[1] (analytic) = 1.333411560144861831894137789417 y[1] (numeric) = 1.3334115601448613365860597816737 absolute error = 4.953080780077433e-16 relative error = 3.7145926495037513429479999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.866 Order of pole = 4.6e-29 TOP MAIN SOLVE Loop x[1] = -0.865 y[1] (analytic) = 1.3364963747535834809048080457082 y[1] (numeric) = 1.3364963747535829792606780962752 absolute error = 5.016441299494330e-16 relative error = 3.7534267913141450642499999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.865 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.864 y[1] (analytic) = 1.3395919067215363511659807956104 y[1] (numeric) = 1.3395919067215358431269460520576 absolute error = 5.080390347435528e-16 relative error = 3.7924910727992319098880000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.863 y[1] (analytic) = 1.3426982057523876530843791833441 y[1] (numeric) = 1.3426982057523871385909710877377 absolute error = 5.144934080956064e-16 relative error = 3.8317874105395668292160000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.863 Order of pole = 2.2e-29 TOP MAIN SOLVE Loop x[1] = -0.862 y[1] (analytic) = 1.3458153218382760644053380418926 y[1] (numeric) = 1.3458153218382755433974651653888 absolute error = 5.210078728765038e-16 relative error = 3.8713177389364888956719999999998e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.862 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.861 y[1] (analytic) = 1.3489433052618231508347935644613 y[1] (numeric) = 1.3489433052618226232517343500649 absolute error = 5.275830592143964e-16 relative error = 3.9110840103987555364439999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.86 y[1] (analytic) = 1.3520822065981611681990265008113 y[1] (numeric) = 1.3520822065981606339794219130141 absolute error = 5.342196045877972e-16 relative error = 3.9510881955313480911999999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.86 Order of pole = 5.8e-29 TOP MAIN SOLVE Loop x[1] = -0.859 y[1] (analytic) = 1.3552320767169773987946565909679 y[1] (numeric) = 1.3552320767169768578765026709625 absolute error = 5.409181539200054e-16 relative error = 3.9913322833264750455740000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.859 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.858 y[1] (analytic) = 1.3583929667845751761835677919594 y[1] (numeric) = 1.3583929667845746285042081171021 absolute error = 5.476793596748573e-16 relative error = 4.0318182813568164939720000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.857 y[1] (analytic) = 1.3615649282659517543083318242656 y[1] (numeric) = 1.3615649282659511998044498704451 absolute error = 5.545038819538205e-16 relative error = 4.0725482159710151240449999999998e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.333 Order of pole = 5.130e-27 TOP MAIN SOLVE Loop x[1] = -0.856 y[1] (analytic) = 1.3647480129268931784435321862172 y[1] (numeric) = 1.3647480129268926170511435917625 absolute error = 5.613923885944547e-16 relative error = 4.1135241324914635905919999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.855 y[1] (analytic) = 1.3679422728360863171574159570467 y[1] (numeric) = 1.367942272836085748811860686788 absolute error = 5.683455552702587e-16 relative error = 4.1547480954144086616749999999997e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.854 y[1] (analytic) = 1.3711477603672482161367637622101 y[1] (numeric) = 1.3711477603672476407726981702859 absolute error = 5.753640655919242e-16 relative error = 4.1962221886123978984719999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.854 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.853 y[1] (analytic) = 1.3743645282012729364260200189937 y[1] (numeric) = 1.374364528201272353977408808974 absolute error = 5.824486112100197e-16 relative error = 4.2379485155391122389730000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.853 Order of pole = 1.4e-29 TOP MAIN SOLVE Loop x[1] = -0.852 y[1] (analytic) = 1.3775926293283960413498203619211 y[1] (numeric) = 1.3775926293283954517499284427968 absolute error = 5.895998919191243e-16 relative error = 4.2799291994366000586720000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.852 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.851 y[1] (analytic) = 1.3808321170503768981263489003744 y[1] (numeric) = 1.3808321170503763013077331369392 absolute error = 5.968186157634352e-16 relative error = 4.3221663835449553527519999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.85 y[1] (analytic) = 1.3840830449826989619377162629758 y[1] (numeric) = 1.3840830449826983578322171191057 absolute error = 6.041054991438701e-16 relative error = 4.3646622313144614724999999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.85 Order of pole = 8e-30 memory used=26.7MB, alloc=4.3MB, time=1.66 TOP MAIN SOLVE Loop x[1] = -0.849 y[1] (analytic) = 1.387345467056788212003035511882 y[1] (numeric) = 1.3873454670567876005417685851918 absolute error = 6.114612669266902e-16 relative error = 4.4074189266202522285019999999997e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.848 y[1] (analytic) = 1.3906194375222499110003559985761 y[1] (numeric) = 1.3906194375222492921137034449135 absolute error = 6.188866525536626e-16 relative error = 4.4504386739794899031039999999997e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.847 y[1] (analytic) = 1.3939050109491238610053679281972 y[1] (numeric) = 1.3939050109491232346229697744066 absolute error = 6.263823981537906e-16 relative error = 4.4937236987711276055539999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.846 y[1] (analytic) = 1.3972022422301583309580895215421 y[1] (numeric) = 1.3972022422301576970088348649087 absolute error = 6.339492546566334e-16 relative error = 4.5372762474582703051439999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.845 y[1] (analytic) = 1.4005111865831028325338748643254 y[1] (numeric) = 1.4005111865831021909458929570862 absolute error = 6.415879819072392e-16 relative error = 4.5810985878131646978000000000003e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.845 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.844 y[1] (analytic) = 1.4038318995530199231823184564588 y[1] (numeric) = 1.4038318995530192738829696737389 absolute error = 6.492993487827199e-16 relative error = 4.6251930091448756268639999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.843 y[1] (analytic) = 1.407164437014616217007270818646 y[1] (numeric) = 1.4071644370146155599231375081584 absolute error = 6.570841333104876e-16 relative error = 4.6695618225296470245240000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.843 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.842 y[1] (analytic) = 1.4105088551745927860935110950627 y[1] (numeric) = 1.4105088551745921211503883068776 absolute error = 6.649431227881851e-16 relative error = 4.7142073610440286123639999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.841 y[1] (analytic) = 1.4138652105740151368409444054061 y[1] (numeric) = 1.4138652105740144639638305000761 absolute error = 6.728771139053300e-16 relative error = 4.7591319800007570772999999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.84 y[1] (analytic) = 1.4172335600907029478458049886621 y[1] (numeric) = 1.4172335600907022669588921219575 absolute error = 6.808869128667046e-16 relative error = 4.8043380571874676576000000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.839 y[1] (analytic) = 1.4206139609416397578705564971069 y[1] (numeric) = 1.4206139609416390688972209795915 absolute error = 6.889733355175154e-16 relative error = 4.8498279931082495788340000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.838 y[1] (analytic) = 1.4240064706854027944702980730345 y[1] (numeric) = 1.4240064706854020973330906026843 absolute error = 6.971372074703502e-16 relative error = 4.8956042112280860584879999999998e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.838 Order of pole = 4.0e-29 TOP MAIN SOLVE Loop x[1] = -0.837 y[1] (analytic) = 1.4274111472246131358938234492248 y[1] (numeric) = 1.4274111472246124305144592152628 absolute error = 7.053793642339620e-16 relative error = 4.9416691582202252437800000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.837 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.836 y[1] (analytic) = 1.4308280488084064009523591492868 y[1] (numeric) = 1.4308280488084056872517078053787 absolute error = 7.137006513439081e-16 relative error = 4.9880253042165199545760000000003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.835 y[1] (analytic) = 1.4342572340349241636487504033848 y[1] (numeric) = 1.4342572340349234415468259083136 absolute error = 7.221019244950712e-16 relative error = 5.0346751430607601742000000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.835 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.834 y[1] (analytic) = 1.4376987618538262914847977732922 y[1] (numeric) = 1.4376987618538255609007480971973 absolute error = 7.305840496760949e-16 relative error = 5.0816211925650586426439999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.834 Order of pole = 3.5e-29 TOP MAIN SOLVE Loop x[1] = -0.833 y[1] (analytic) = 1.4411526915688244085149065628652 y[1] (numeric) = 1.4411526915688236693670032571042 absolute error = 7.391479033057610e-16 relative error = 5.1288659947693119452900000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.833 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.832 y[1] (analytic) = 1.4446190828402366863905325443787 y[1] (numeric) = 1.4446190828402359385961601730364 absolute error = 7.477943723713423e-16 relative error = 5.1764121162038005227520000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.831 y[1] (analytic) = 1.4480979956875641688424339051872 y[1] (numeric) = 1.4480979956875634123180793362303 absolute error = 7.565243545689569e-16 relative error = 5.2242621481549344582090000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.831 Order of pole = 3.3e-29 TOP MAIN SOLVE Loop x[1] = -0.83 y[1] (analytic) = 1.4515894904920888372768181158369 y[1] (numeric) = 1.4515894904920880719380596698757 absolute error = 7.653387584459612e-16 relative error = 5.2724187069342267067999999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.829 y[1] (analytic) = 1.4550936279994936274174561762176 y[1] (numeric) = 1.455093627999492853178952630809 absolute error = 7.742385035454086e-16 relative error = 5.3208844341505015167260000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.828 y[1] (analytic) = 1.4586104693225046092090830591146 y[1] (numeric) = 1.4586104693225038259845625065035 absolute error = 7.832245205526111e-16 relative error = 5.3696619969854132838239999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.827 y[1] (analytic) = 1.4621400759435555445082749817599 y[1] (numeric) = 1.4621400759435547522105235379281 absolute error = 7.922977514438318e-16 relative error = 5.4187540884722843914219999999996e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=1.90 x[1] = -0.826 y[1] (analytic) = 1.4656825097174750394268595114001 y[1] (numeric) = 1.4656825097174742379677098742531 absolute error = 8.014591496371470e-16 relative error = 5.4681634277783410657199999999999e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2178 Order of pole = 1.231e-27 TOP MAIN SOLVE Loop x[1] = -0.825 y[1] (analytic) = 1.4692378328741965105601469237833 y[1] (numeric) = 1.4692378328741956998504667782743 absolute error = 8.107096801455090e-16 relative error = 5.5178927604903706312500000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.825 Order of pole = 5e-30 TOP MAIN SOLVE Loop x[1] = -0.824 y[1] (analytic) = 1.4728061080214911867282495993967 y[1] (numeric) = 1.4728061080214903666779298673514 absolute error = 8.200503197320453e-16 relative error = 5.5679448589038518961280000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.824 Order of pole = 2.0e-29 TOP MAIN SOLVE Loop x[1] = -0.823 y[1] (analytic) = 1.4763873981477243702838650050419 y[1] (numeric) = 1.4763873981477235408018079374119 absolute error = 8.294820570676300e-16 relative error = 5.6183225223156076026999999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.823 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.822 y[1] (analytic) = 1.479981766624635184494527027427 y[1] (numeric) = 1.4799817666246343454886341366644 absolute error = 8.390058928907626e-16 relative error = 5.6690285773200203661840000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.821 y[1] (analytic) = 1.483589277210140035991875865118 y[1] (numeric) = 1.4835892772101391873690356953254 absolute error = 8.486228401697926e-16 relative error = 5.7200658781088717389660000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.82 y[1] (analytic) = 1.4872099940511600237953599048185 y[1] (numeric) = 1.4872099940511591654614356372941 absolute error = 8.583339242675244e-16 relative error = 5.7714373067748340656000000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.82 Order of pole = 5e-30 TOP MAIN SOLVE Loop x[1] = -0.819 y[1] (analytic) = 1.4908439816864725289633714542139 y[1] (numeric) = 1.4908439816864716608231883459703 absolute error = 8.681401831082436e-16 relative error = 5.8231457736186858537960000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.818 y[1] (analytic) = 1.4944913050495872215015453040094 y[1] (numeric) = 1.4944913050495863434588779568088 absolute error = 8.780426673472006e-16 relative error = 5.8751942174602825427440000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.817 y[1] (analytic) = 1.4981520294716467237662343499294 y[1] (numeric) = 1.4981520294716458357237938073368 absolute error = 8.880424405425926e-16 relative error = 5.9275856059533459198139999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.817 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.816 y[1] (analytic) = 1.5018262206843521722414455978469 y[1] (numeric) = 1.5018262206843512741008662677644 absolute error = 8.981405793300825e-16 relative error = 5.9803229359041141312000000000003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.815 y[1] (analytic) = 1.5055139448229139222402047498964 y[1] (numeric) = 1.5055139448229130139020311499991 absolute error = 9.083381735998973e-16 relative error = 6.0334092335939178409250000000004e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.814 y[1] (analytic) = 1.5092152684290276427868565460703 y[1] (numeric) = 1.5092152684290267241505298695259 absolute error = 9.186363266765444e-16 relative error = 6.0868475551057161326240000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.814 Order of pole = 5e-30 TOP MAIN SOLVE Loop x[1] = -0.813 y[1] (analytic) = 1.5129302584538760516756459077506 y[1] (numeric) = 1.5129302584538751226394904065602 absolute error = 9.290361555011904e-16 relative error = 6.1406409866546631749760000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.813 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.812 y[1] (analytic) = 1.5166589822611565434735130675337 y[1] (numeric) = 1.5166589822611556039347222507893 absolute error = 9.395387908167444e-16 relative error = 6.1947926449227551967360000000004e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.812 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.811 y[1] (analytic) = 1.5204015076301349660418323270809 y[1] (numeric) = 1.5204015076301340158964549713919 absolute error = 9.501453773556890e-16 relative error = 6.2493056773976112476900000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.81 y[1] (analytic) = 1.5241579027587258039932937052279 y[1] (numeric) = 1.5241579027587248431362196745255 absolute error = 9.608570740307024e-16 relative error = 6.3041832627154384463999999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.809 y[1] (analytic) = 1.5279282362665990303767412652163 y[1] (numeric) = 1.5279282362665980587016871370976 absolute error = 9.716750541281187e-16 relative error = 6.3594286110082525489469999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.808 y[1] (analytic) = 1.5317125771983138907950200960691 y[1] (numeric) = 1.5317125771983129081945145917979 absolute error = 9.826005055042712e-16 relative error = 6.4150449642554051271679999999996e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.808 Order of pole = 3.6e-29 TOP MAIN SOLVE Loop x[1] = -0.807 y[1] (analytic) = 1.5355109950264798871092316456532 y[1] (numeric) = 1.5355109950264788934746008608893 absolute error = 9.936346307847639e-16 relative error = 6.4710355966394670511110000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.807 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.806 y[1] (analytic) = 1.5393235596549452308677474770486 y[1] (numeric) = 1.539323559654944226089099910327 absolute error = 1.0047786475667216e-15 relative error = 6.5274038149065475333760000000004e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.805 y[1] (analytic) = 1.5431503414220130396203850160102 y[1] (numeric) = 1.5431503414220120235865963919465 absolute error = 1.0160337886240637e-15 relative error = 6.5841529587310887919249999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.805 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.804 y[1] (analytic) = 1.54699141110368555233781342046 y[1] (numeric) = 1.5469914111036845249365113046074 absolute error = 1.0274013021158526e-15 relative error = 6.6412864010852097428159999999995e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.804 Order of pole = 3.6e-29 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.3MB, time=2.14 x[1] = -0.803 y[1] (analytic) = 1.5508468399169366432540488733873 y[1] (numeric) = 1.5508468399169356043715970756209 absolute error = 1.0388824517977664e-15 relative error = 6.6988075486126595461760000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.802 y[1] (analytic) = 1.5547166995230129165863396371913 y[1] (numeric) = 1.5547166995230118661078224004437 absolute error = 1.0504785172367476e-15 relative error = 6.7567198420074500331040000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.801 y[1] (analytic) = 1.5586010620307636677623632132743 y[1] (numeric) = 1.5586010620307626055715691843985 absolute error = 1.0621907940288758e-15 relative error = 6.8150267563972074215580000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = 1.5625 y[1] (numeric) = 1.5624999999999989259794059794775 absolute error = 1.0740205940205225e-15 relative error = 6.8737318017313440000000000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.8 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.799 y[1] (analytic) = 1.5664135864448833883405571106562 y[1] (numeric) = 1.5664135864448823023713115778193 absolute error = 1.0859692455328369e-15 relative error = 6.9328385231740860979689999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.798 y[1] (analytic) = 1.5703418948373439865327479098749 y[1] (numeric) = 1.5703418948373428884946543202551 absolute error = 1.0980380935896198e-15 relative error = 6.9923505015024424711920000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.797 y[1] (analytic) = 1.574284999110528975502551128841 y[1] (numeric) = 1.5742849991105278652740509802008 absolute error = 1.1102285001486402e-15 relative error = 7.0522713535091759280180000000003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.796 y[1] (analytic) = 1.578242973662281255523850407818 y[1] (numeric) = 1.5782429736622801329820060713674 absolute error = 1.1225418443364506e-15 relative error = 7.1126047324108448336959999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.795 y[1] (analytic) = 1.5822158933586487876270717139353 y[1] (numeric) = 1.5822158933586476526475490271762 absolute error = 1.1349795226867591e-15 relative error = 7.1733543282609892017750000000003e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.795 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.794 y[1] (analytic) = 1.5862038335374248932484820029314 y[1] (numeric) = 1.5862038335374237457055326205142 absolute error = 1.1475429493824172e-15 relative error = 7.2345238683685356989919999999996e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.793 y[1] (analytic) = 1.5902068700117198246319863751076 y[1] (numeric) = 1.5902068700117186643984298740273 absolute error = 1.1602335565010803e-15 relative error = 7.2961171177214784557469999999997e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.792 y[1] (analytic) = 1.5942250790735639220487705336191 y[1] (numeric) = 1.5942250790735627489959762690137 absolute error = 1.1730527942646054e-15 relative error = 7.3581378794159344162559999999996e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.791 y[1] (analytic) = 1.5982585374975426774985975281334 y[1] (numeric) = 1.5982585374975414914964662358897 absolute error = 1.1860021312922437e-15 relative error = 7.4205899950906233045969999999997e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.791 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = 1.6023073225444640282006088767825 y[1] (numeric) = 1.6023073225444628291175540190894 absolute error = 1.1990830548576931e-15 relative error = 7.4834773453668626371000000000003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.789 y[1] (analytic) = 1.6063715119650582068717360538842 y[1] (numeric) = 1.6063715119650569945746649038098 absolute error = 1.2122970711500744e-15 relative error = 7.5468038502941546556239999999997e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.788 y[1] (analytic) = 1.6104511840037104795279445489448 y[1] (numeric) = 1.6104511840037092538822390100514 absolute error = 1.2256457055388934e-15 relative error = 7.6105734698014262336960000000002e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.787 y[1] (analytic) = 1.6145464174022271053281646320691 y[1] (numeric) = 1.6145464174022258661976617890088 absolute error = 1.2391305028430603e-15 relative error = 7.6747902041540341495070000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.786 y[1] (analytic) = 1.6186572914036348568135760024345 y[1] (numeric) = 1.6186572914036336040605483984069 absolute error = 1.2527530276040276e-15 relative error = 7.7394580944165783516959999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.785 y[1] (analytic) = 1.6227838857560144427765832285285 y[1] (numeric) = 1.6227838857560131762617188654088 absolute error = 1.2665148643631197e-15 relative error = 7.8045812229216343713250000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.785 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.784 y[1] (analytic) = 1.6269262807163681799250312369846 y[1] (numeric) = 1.6269262807163668995074132938629 absolute error = 1.2804176179431217e-15 relative error = 7.8701637137444741163520000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.783 y[1] (analytic) = 1.6310845570545222634886615157017 y[1] (numeric) = 1.6310845570545209690257477815037 absolute error = 1.2944629137341980e-15 relative error = 7.9362097331838571762199999999997e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2366 Order of pole = 1.357e-27 TOP MAIN SOLVE Loop x[1] = -0.782 y[1] (analytic) = 1.6352587960570639909472073050281 y[1] (numeric) = 1.6352587960570626822948093208133 absolute error = 1.3086523979842148e-15 relative error = 8.0027234902489897135520000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.782 Order of pole = 2.0e-29 TOP MAIN SOLVE Loop x[1] = -0.781 y[1] (analytic) = 1.6394490795313142971435878687326 y[1] (numeric) = 1.6394490795313129741558497751938 absolute error = 1.3229877380935388e-15 relative error = 8.0697092371527301998680000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=2.38 x[1] = -0.78 y[1] (analytic) = 1.6436554898093359631821170282709 y[1] (numeric) = 1.6436554898093346257114941138844 absolute error = 1.3374706229143865e-15 relative error = 8.1371712698111274659999999999999e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.78 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.779 y[1] (analytic) = 1.6478781097519778657012298114332 y[1] (numeric) = 1.6478781097519765135984667566319 absolute error = 1.3521027630548013e-15 relative error = 8.2051139283493867569330000000005e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.779 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.778 y[1] (analytic) = 1.6521170227529556373537050376352 y[1] (numeric) = 1.6521170227529542704678138502985 absolute error = 1.3668858911873367e-15 relative error = 8.2735415976143590712280000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.777 y[1] (analytic) = 1.656372312742969113625484281855 y[1] (numeric) = 1.6563723127429677318037219193338 absolute error = 1.3818217623625212e-15 relative error = 8.3424587076936256155479999999997e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.776 y[1] (analytic) = 1.6606440641938569454777340843872 y[1] (numeric) = 1.6606440641938555485655797571975 absolute error = 1.3969121543271897e-15 relative error = 8.4118697344412978478720000000004e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.776 Order of pole = 5.0e-29 TOP MAIN SOLVE Loop x[1] = -0.775 y[1] (analytic) = 1.6649323621227887617065556711759 y[1] (numeric) = 1.6649323621227873495476878234144 absolute error = 1.4121588678477615e-15 relative error = 8.4817792000106175093749999999998e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.774 y[1] (analytic) = 1.6692372920964952693815141985324 y[1] (numeric) = 1.6692372920964938418177871599869 absolute error = 1.4275637270385455e-15 relative error = 8.5521916733934368395800000000000e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.1896 Order of pole = 7.1e-29 TOP MAIN SOLVE Loop x[1] = -0.773 y[1] (analytic) = 1.6735589402355366852487494330819 y[1] (numeric) = 1.6735589402355352421201697379185 absolute error = 1.4431285796951634e-15 relative error = 8.6231117709667129123860000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.773 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.772 y[1] (analytic) = 1.6778973932186098955676662460737 y[1] (numeric) = 1.6778973932186084367123686129026 absolute error = 1.4588552976331711e-15 relative error = 8.6945441570460784486240000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.771 y[1] (analytic) = 1.6822527382868947464929236038564 y[1] (numeric) = 1.6822527382868932717471465718854 absolute error = 1.4747457770319710e-15 relative error = 8.7664935444466187321100000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = 1.6866250632484398718164951931186 y[1] (numeric) = 1.6866250632484383810145564090166 absolute error = 1.4908019387841020e-15 relative error = 8.8389646950509407579999999999998e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.77 Order of pole = 6.5e-29 TOP MAIN SOLVE Loop x[1] = -0.769 y[1] (analytic) = 1.6910144564825884696488270278222 y[1] (numeric) = 1.6910144564825869626230981778224 absolute error = 1.5070257288499998e-15 relative error = 8.9119624203846473172780000000003e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.769 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.768 y[1] (analytic) = 1.6954210069444444444444444444444 y[1] (numeric) = 1.6954210069444429210253258261238 absolute error = 1.5234191186183206e-15 relative error = 8.9854915821993232957440000000002e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.768 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.767 y[1] (analytic) = 1.6998448041693793356666536345232 y[1] (numeric) = 1.6998448041693777956825483626025 absolute error = 1.5399841052719207e-15 relative error = 9.0595570930631295668229999999998e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.767 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.766 y[1] (analytic) = 1.7042859382775804593391460845735 y[1] (numeric) = 1.7042859382775789026164339249819 absolute error = 1.5567227121595916e-15 relative error = 9.1341639169591332884959999999999e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.765 y[1] (analytic) = 1.7087444999786406937502669913281 y[1] (numeric) = 1.7087444999786391201132778176819 absolute error = 1.5736369891736462e-15 relative error = 9.2093170698914709739500000000001e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.764 y[1] (analytic) = 1.7132205805761903456593843370522 y[1] (numeric) = 1.713220580576188754930371203595 absolute error = 1.5907290131334572e-15 relative error = 9.2850216204994643381119999999998e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.3751 Order of pole = 5.515e-27 TOP MAIN SOLVE Loop x[1] = -0.763 y[1] (analytic) = 1.7177142719725715385051419776731 y[1] (numeric) = 1.7177142719725699305042538026246 absolute error = 1.6080008881750485e-15 relative error = 9.3612826906797981019650000000003e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.762 y[1] (analytic) = 1.722225666673555569333360888944 y[1] (numeric) = 1.7222256666735539438786147420986 absolute error = 1.6254547461468454e-15 relative error = 9.4381054562168890043760000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.761 y[1] (analytic) = 1.7267548577931036864489459024971 y[1] (numeric) = 1.7267548577931020433561988908116 absolute error = 1.6430927470116855e-15 relative error = 9.5154951474215431844549999999998e-14 % Correct digits = 15 h = 0.001 Complex estimate of poles used Radius of convergence = 0.3914 Order of pole = 2.234e-27 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = 1.7313019390581717451523545706371 y[1] (numeric) = 1.7313019390581700842352753154352 absolute error = 1.6609170792552019e-15 relative error = 9.5934570497780461744000000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.76 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.759 y[1] (analytic) = 1.735867004813559204347999673657 y[1] (numeric) = 1.7358670048135575254180393729714 absolute error = 1.6789299603006856e-15 relative error = 9.6719965045997926113360000000000e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.758 y[1] (analytic) = 1.7404501500268029323104127651575 y[1] (numeric) = 1.7404501500268012351767758346187 absolute error = 1.6971336369305388e-15 relative error = 9.7511189096935809508320000000004e-14 % Correct digits = 15 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.757 y[1] (analytic) = 1.7450514702931162954651347441493 y[1] (numeric) = 1.745051470293114579934749029715 absolute error = 1.7155303857144343e-15 relative error = 9.8308297200327086118069999999999e-14 % Correct digits = 15 h = 0.001 NO POLE memory used=41.9MB, alloc=4.3MB, time=2.62 TOP MAIN SOLVE Loop x[1] = -0.756 y[1] (analytic) = 1.7496710618403740096861789983483 y[1] (numeric) = 1.749671061840372275563665554054 absolute error = 1.7341225134442943e-15 relative error = 9.9111344484389818704480000000001e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.756 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.755 y[1] (analytic) = 1.7543090215341432393316082627955 y[1] (numeric) = 1.7543090215341414864192506865864 absolute error = 1.7529123575762091e-15 relative error = 9.9920386662737859222750000000000e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.755 Order of pole = 6.9e-29 TOP MAIN SOLVE Loop x[1] = -0.754 y[1] (analytic) = 1.7589654468827614350343701848321 y[1] (numeric) = 1.7589654468827596631320835054184 absolute error = 1.7719022866794137e-15 relative error = 1.0073548004138335590692000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.753 y[1] (analytic) = 1.7636404360424614071381583008382 y[1] (numeric) = 1.7636404360424596160434574083928 absolute error = 1.7910947008924454e-15 relative error = 1.0155668152583245738086000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.753 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.752 y[1] (analytic) = 1.7683340878225441376188320507017 y[1] (numeric) = 1.7683340878225423271267996640942 absolute error = 1.8104920323866075e-15 relative error = 1.0238404862827560876800000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.752 Order of pole = 8.9e-29 TOP MAIN SOLVE Loop x[1] = -0.751 y[1] (analytic) = 1.7730465016905998393619869468317 y[1] (numeric) = 1.7730465016905980092652411099671 absolute error = 1.8300967458368646e-15 relative error = 1.0321763947487374712646000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = 1.7777777777777777777777777777777 y[1] (numeric) = 1.7777777777777759278664388774772 absolute error = 1.8499113389003005e-15 relative error = 1.0405751281314190312500000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.75 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.749 y[1] (analytic) = 1.7825280168841053759262461207734 y[1] (numeric) = 1.7825280168841035059879034185038 absolute error = 1.8699383427022696e-15 relative error = 1.0490372801943159478696000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.749 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.748 y[1] (analytic) = 1.7872973204838571306013898023964 y[1] (numeric) = 1.7872973204838552404210674720216 absolute error = 1.8901803223303748e-15 relative error = 1.0575634510651340220992000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.748 Order of pole = 6.7e-29 TOP MAIN SOLVE Loop x[1] = -0.747 y[1] (analytic) = 1.7920857907309738731812569331319 y[1] (numeric) = 1.7920857907309719625413795967204 absolute error = 1.9106398773364115e-15 relative error = 1.0661542473126136447035000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.747 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.746 y[1] (analytic) = 1.7968935304645329154956910493139 y[1] (numeric) = 1.7968935304645309841760488028995 absolute error = 1.9313196422464144e-15 relative error = 1.0748102820244055562304000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.745 y[1] (analytic) = 1.8017206432142696274942570154498 y[1] (numeric) = 1.8017206432142676752719699364998 absolute error = 1.9522222870789500e-15 relative error = 1.0835321748859942237500000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.744 y[1] (analytic) = 1.8065672332061510001156203029251 y[1] (numeric) = 1.8065672332061490267651024311261 absolute error = 1.9733505178717990e-15 relative error = 1.0923205522606841312640000000001e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2968 Order of pole = 2.578e-27 TOP MAIN SOLVE Loop x[1] = -0.743 y[1] (analytic) = 1.8114334053680017534675363962257 y[1] (numeric) = 1.8114334053679997587604591790477 absolute error = 1.9947070772171780e-15 relative error = 1.1011760472706658977220000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.742 y[1] (analytic) = 1.8163192653351835572249547736503 y[1] (numeric) = 1.8163192653351815409302099680041 absolute error = 2.0162947448056462e-15 relative error = 1.1100992998791757944568000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.742 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.741 y[1] (analytic) = 1.8212249194563279370438969842336 y[1] (numeric) = 1.8212249194563258989275590053782 absolute error = 2.0381163379788554e-15 relative error = 1.1190909569737679018874000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.741 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = 1.8261504747991234477720964207451 y[1] (numeric) = 1.82615047479912138759738412945 absolute error = 2.0601747122912951e-15 relative error = 1.1281516724507131967600000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.74 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.739 y[1] (analytic) = 1.8310960391561577013152762849258 y[1] (numeric) = 1.8310960391561556188425142037327 absolute error = 2.0824727620811931e-15 relative error = 1.1372821073005432569651000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.7205 Order of pole = 2.140e-27 TOP MAIN SOLVE Loop x[1] = -0.738 y[1] (analytic) = 1.8360617210508148441918023516279 y[1] (numeric) = 1.8360617210508127391783813008933 absolute error = 2.1050134210507346e-15 relative error = 1.1464829296947562954824000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.738 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.737 y[1] (analytic) = 1.841047629743229087079711839225 y[1] (numeric) = 1.8410476297432269592800489834635 absolute error = 2.1277996628557615e-15 relative error = 1.1557548150737011181935000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.737 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.736 y[1] (analytic) = 1.8460538752362948960302457466918 y[1] (numeric) = 1.8460538752362927451957440415674 absolute error = 2.1508345017051244e-15 relative error = 1.1650984462356590669824000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.6022 Order of pole = 4.12e-28 TOP MAIN SOLVE Loop x[1] = -0.735 y[1] (analytic) = 1.8510805682817344624924799851913 y[1] (numeric) = 1.8510805682817322883714870153365 absolute error = 2.1741209929698548e-15 relative error = 1.1745145134271398093300000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.735 Order of pole = 5.0e-29 TOP MAIN SOLVE Loop x[1] = -0.734 y[1] (analytic) = 1.8561278203862230768659652978343 y[1] (numeric) = 1.8561278203862208792037314955007 absolute error = 2.1976622338023336e-15 relative error = 1.1840037144344100410016000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.734 Order of pole = 7e-30 memory used=45.7MB, alloc=4.3MB, time=2.86 TOP MAIN SOLVE Loop x[1] = -0.733 y[1] (analytic) = 1.86119574381757303797397676111 y[1] (numeric) = 1.8611957438175708165126129954753 absolute error = 2.2214613637656347e-15 relative error = 1.1935667546762741023283000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.733 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.732 y[1] (analytic) = 1.8662844516109767386305951207859 y[1] (numeric) = 1.8662844516109744931090296475625 absolute error = 2.2455215654732234e-15 relative error = 1.2032043472981244550816000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.732 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.731 y[1] (analytic) = 1.8713940575753095753619743955865 y[1] (numeric) = 1.8713940575753073055159091563903 absolute error = 2.2698460652391962e-15 relative error = 1.2129172132672821206282000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = 1.8765246762994933383373991367986 y[1] (numeric) = 1.8765246762994910438992653975507 absolute error = 2.2944381337392479e-15 relative error = 1.2227060814696452059100000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.5115 Order of pole = 1.158e-27 TOP MAIN SOLVE Loop x[1] = -0.729 y[1] (analytic) = 1.8816764231589207456707329694171 y[1] (numeric) = 1.8816764231589184263696462868556 absolute error = 2.3193010866825615e-15 relative error = 1.2325716888076671661215000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.728 y[1] (analytic) = 1.8868494143219417944692669967396 y[1] (numeric) = 1.8868494143219394500309815019263 absolute error = 2.3444382854948133e-15 relative error = 1.2425147802996831319872000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.727 y[1] (analytic) = 1.8920437667564126093364791714362 y[1] (numeric) = 1.8920437667564102394833411589415 absolute error = 2.3698531380124947e-15 relative error = 1.2525361091806058112963000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.726 y[1] (analytic) = 1.897259598236307477479528568935 y[1] (numeric) = 1.8972595982363050819304293801809 absolute error = 2.3955490991887541e-15 relative error = 1.2626364370040117560116000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.725 y[1] (analytic) = 1.9024970273483947681331747919143 y[1] (numeric) = 1.9024970273483923466035029809494 absolute error = 2.4215296718109649e-15 relative error = 1.2728165337456384255625000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.724 y[1] (analytic) = 1.9077561734989774426910045480907 y[1] (numeric) = 1.9077561734989749948925973178585 absolute error = 2.4477984072302322e-15 relative error = 1.2830771779083141936672000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.723 y[1] (analytic) = 1.9130371569206988707341662697115 y[1] (numeric) = 1.9130371569206963963752601666586 absolute error = 2.4743589061030529e-15 relative error = 1.2934191566283427393641000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.722 y[1] (analytic) = 1.918340098679414676069090936994 y[1] (numeric) = 1.9183400986794121748542717916442 absolute error = 2.5012148191453498e-15 relative error = 1.3038432657833645251432000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.722 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.721 y[1] (analytic) = 1.9236651206811313459307749869671 y[1] (numeric) = 1.9236651206811288175609270878642 absolute error = 2.5283698478991029e-15 relative error = 1.3143503101017175506389000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.721 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = 1.929012345679012345679012345679 y[1] (numeric) = 1.9290123456790097898512668338731 absolute error = 2.5558277455118059e-15 relative error = 1.3249411032733201785600000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.6251 Order of pole = 1.681e-27 TOP MAIN SOLVE Loop x[1] = -0.719 y[1] (analytic) = 1.9343818972804524906134118434466 y[1] (numeric) = 1.9343818972804499070210943144653 absolute error = 2.5835923175289813e-15 relative error = 1.3356164680620997018293000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.719 Order of pole = 2.0e-29 TOP MAIN SOLVE Loop x[1] = -0.718 y[1] (analytic) = 1.9397738999542213359610803764713 y[1] (numeric) = 1.9397738999542187242936576764792 absolute error = 2.6116674226999921e-15 relative error = 1.3463772364199907273604000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.718 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.717 y[1] (analytic) = 1.9451884790376763556504807533326 y[1] (numeric) = 1.9451884790376737155935069559425 absolute error = 2.6400569737973901e-15 relative error = 1.3572242496025264791189000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.717 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.716 y[1] (analytic) = 1.9506257607440466901782091695015 y[1] (numeric) = 1.9506257607440440214132707194523 absolute error = 2.6687649384500492e-15 relative error = 1.3681583582860484226752000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.715 y[1] (analytic) = 1.9560858721697882537043376204215 y[1] (numeric) = 1.9560858721697855559089976300859 absolute error = 2.6977953399903356e-15 relative error = 1.3791804226865593171100000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.714 y[1] (analytic) = 1.9615689413020110004786228216777 y[1] (numeric) = 1.961568941302008273326364506109 absolute error = 2.7271522583155687e-15 relative error = 1.3902913126802436609852000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.714 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.713 y[1] (analytic) = 1.9670750970259791608064221067767 y[1] (numeric) = 1.9670750970259764039665913427386 absolute error = 2.7568398307640381e-15 relative error = 1.4014919079256832848589000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.712 y[1] (analytic) = 1.9726044691326852670117409418003 y[1] (numeric) = 1.9726044691326824801494879359593 absolute error = 2.7868622530058410e-15 relative error = 1.4127830979877930599040000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.712 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.711 y[1] (analytic) = 1.9781571883264988002476652799785 y[1] (numeric) = 1.9781571883264959830238853311667 absolute error = 2.8172237799488118e-15 relative error = 1.4241657824635032899478000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.4MB, time=3.10 x[1] = -0.71 y[1] (analytic) = 1.9837333862328902995437413211665 y[1] (numeric) = 1.9837333862328874516150146613432 absolute error = 2.8479287266598233e-15 relative error = 1.4356408711092169255300000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.709 y[1] (analytic) = 1.9893331954062317851679295616903 y[1] (numeric) = 1.9893331954062289061864602599496 absolute error = 2.8789814693017407e-15 relative error = 1.4472092839700683168166999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.709 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.708 y[1] (analytic) = 1.994956749337674359219892112739 y[1] (numeric) = 1.9949567493376714488334460264219 absolute error = 2.9103864460863171e-15 relative error = 1.4588719515110116548144000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.707 y[1] (analytic) = 2.0006041824631038573649242071106 y[1] (numeric) = 2.0006041824631009152167659637845 absolute error = 2.9421481582433261e-15 relative error = 1.4706298147497683077589000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.706 y[1] (analytic) = 2.0062756301711754367662046882649 y[1] (numeric) = 2.0062756301711724624950336820355 absolute error = 2.9742711710062294e-15 relative error = 1.4824838253916609572184000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.705 y[1] (analytic) = 2.0119712288114279965796489110206 y[1] (numeric) = 2.0119712288114249898195342963325 absolute error = 3.0067601146146881e-15 relative error = 1.4944349459663653529025000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.705 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.704 y[1] (analytic) = 2.0176911157024793388429752066115 y[1] (numeric) = 2.0176911157024762992232898723844 absolute error = 3.0396196853342271e-15 relative error = 1.5064841499666082983936000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.704 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.703 y[1] (analytic) = 2.0234354291403029892211594689696 y[1] (numeric) = 2.0234354291402999163665129755953 absolute error = 3.0728546464933743e-15 relative error = 1.5186324219888440194287000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.702 y[1] (analytic) = 2.0292043084065876088668111460134 y[1] (numeric) = 2.0292043084065845023969816074179 absolute error = 3.1064698295385955e-15 relative error = 1.5308807578759380167820000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.702 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.701 y[1] (analytic) = 2.0349978937771799406187614595819 y[1] (numeric) = 2.0349978937771768001486263522211 absolute error = 3.1404701351073608e-15 relative error = 1.5432301648618922044808000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.701 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = 2.0408163265306122448979591836734 y[1] (numeric) = 2.0408163265306090700374250639971 absolute error = 3.1748605341196763e-15 relative error = 1.5556816617186413870000000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.699 y[1] (analytic) = 2.0466597489567151929693144303838 y[1] (numeric) = 2.0466597489567119833232455419546 absolute error = 3.2096460688884292e-15 relative error = 1.5682362789049553955492000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.699 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.698 y[1] (analytic) = 2.0525283043653171977241566161198 y[1] (numeric) = 2.0525283043653139528923023672241 absolute error = 3.2448318542488957e-15 relative error = 1.5808950587174789806228000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.697 y[1] (analytic) = 2.0584221370950311748032663042472 y[1] (numeric) = 2.0584221370950278943801875964758 absolute error = 3.2804230787077714e-15 relative error = 1.5936590554439437160626000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.696 y[1] (analytic) = 2.0643413925221297397278372308099 y[1] (numeric) = 2.0643413925221264233028316187182 absolute error = 3.3164250056120917e-15 relative error = 1.6065293355185870129472000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.695 y[1] (analytic) = 2.0702862170695098597381087935407 y[1] (numeric) = 2.0702862170695065068951344551279 absolute error = 3.3528429743384128e-15 relative error = 1.6195069776798118427200000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.695 Order of pole = 1.4e-29 TOP MAIN SOLVE Loop x[1] = -0.694 y[1] (analytic) = 2.0762567582157479922597148053718 y[1] (numeric) = 2.076256758215744602577313302735 absolute error = 3.3896824015026368e-15 relative error = 1.6325930731301239778047999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.694 Order of pole = 5.3e-29 TOP MAIN SOLVE Loop x[1] = -0.693 y[1] (analytic) = 2.0822531645042467553290064112574 y[1] (numeric) = 2.0822531645042433283802242203899 absolute error = 3.4269487821908675e-15 relative error = 1.6457887256983819260075000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.692 y[1] (analytic) = 2.0882755855524741889137625714191 y[1] (numeric) = 2.0882755855524707242660713597215 absolute error = 3.4646476912116976e-15 relative error = 1.6590950520043983595263999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.692 Order of pole = 1.7e-29 TOP MAIN SOLVE Loop x[1] = -0.691 y[1] (analytic) = 2.0943241720612966798678900312263 y[1] (numeric) = 2.0943241720612931770831056609016 absolute error = 3.5027847843703247e-15 relative error = 1.6725131816259270080807000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.69 y[1] (analytic) = 2.1003990758244066372610796051249 y[1] (numeric) = 2.1003990758244030958952798402058 absolute error = 3.5413657997649191e-15 relative error = 1.6860442572680779835100000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.689 y[1] (analytic) = 2.1065004497378460190301250629316 y[1] (numeric) = 2.106500449737842438633565957277 absolute error = 3.5803965591056546e-15 relative error = 1.6996894349351954573666000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.688 y[1] (analytic) = 2.1126284478096268253109789075176 y[1] (numeric) = 2.1126284478096232054280098506778 absolute error = 3.6198829690568398e-15 relative error = 1.7134498841052407782912000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.688 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=3.34 x[1] = -0.687 y[1] (analytic) = 2.1187832251694496884329267388325 y[1] (numeric) = 2.1187832251694460286019041362477 absolute error = 3.6598310226025848e-15 relative error = 1.7273267879067193454711999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.687 Order of pole = 5.0e-29 TOP MAIN SOLVE Loop x[1] = -0.686 y[1] (analytic) = 2.1249649380785217043918775340207 y[1] (numeric) = 2.1249649380785180041450770975679 absolute error = 3.7002468004364528e-15 relative error = 1.7413213432981929418688000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.686 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.685 y[1] (analytic) = 2.1311737439394746656721189194949 y[1] (numeric) = 2.1311737439394709245356465439416 absolute error = 3.7411364723755533e-15 relative error = 1.7554347612504189971925000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.684 y[1] (analytic) = 2.1374098013063848705584624328854 y[1] (numeric) = 2.1374098013063810880521636333433 absolute error = 3.7825062987995421e-15 relative error = 1.7696682669311585687375999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.684 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.683 y[1] (analytic) = 2.1436732698948956995770532638498 y[1] (numeric) = 2.1436732698948918752144211488442 absolute error = 3.8243626321150056e-15 relative error = 1.7840230998926968473383999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.683 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.682 y[1] (analytic) = 2.1499643105924441654268539142251 y[1] (numeric) = 2.1499643105924402987149356685103 absolute error = 3.8667119182457148e-15 relative error = 1.7985005142621198506351999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.681 y[1] (analytic) = 2.1562830854685926587186072136294 y[1] (numeric) = 2.1562830854685887491579090643851 absolute error = 3.9095606981492443e-15 relative error = 1.8131017789343916858123000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.681 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.68 y[1] (analytic) = 2.1626297577854671280276816608997 y[1] (numeric) = 2.1626297577854631751120723004365 absolute error = 3.9529156093604632e-15 relative error = 1.8278281777682781836800000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.679 y[1] (analytic) = 2.1690044920083029491954077836895 y[1] (numeric) = 2.1690044920082989524120202212766 absolute error = 3.9967833875624129e-15 relative error = 1.8426810097851624058289000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.679 Order of pole = 2.0e-29 TOP MAIN SOLVE Loop x[1] = -0.678 y[1] (analytic) = 2.1754074538160997554842021910704 y[1] (numeric) = 2.1754074538160957143133340059688 absolute error = 4.0411708681851016e-15 relative error = 1.8576615893708002438944000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.5469 Order of pole = 3.761e-27 TOP MAIN SOLVE Loop x[1] = -0.677 y[1] (analytic) = 2.1818388101123865171088890294963 y[1] (numeric) = 2.1818388101123824310239009967456 absolute error = 4.0860849880327507e-15 relative error = 1.8727712464800625955803000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.676 y[1] (analytic) = 2.1882987290360981758341794755086 y[1] (numeric) = 2.1882987290360940443013925354634 absolute error = 4.1315327869400452e-15 relative error = 1.8880113268447140953152000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.676 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.675 y[1] (analytic) = 2.1947873799725651577503429355281 y[1] (numeric) = 2.1947873799725609802289334775812 absolute error = 4.1775214094579469e-15 relative error = 1.9033831921842770563125000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.674 y[1] (analytic) = 2.2013049335646171050198557705007 y[1] (numeric) = 2.2013049335646128809617492008562 absolute error = 4.2240581065696445e-15 relative error = 1.9188882204200318248820000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.674 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.673 y[1] (analytic) = 2.2078515617238021853314757942195 y[1] (numeric) = 2.2078515617237979141812383569958 absolute error = 4.2711502374372237e-15 relative error = 1.9345278058922042932172999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.673 Order of pole = 4.6e-29 TOP MAIN SOLVE Loop x[1] = -0.672 y[1] (analytic) = 2.2144274376417233560090702947845 y[1] (numeric) = 2.2144274376417190372037991151302 absolute error = 4.3188052711796543e-15 relative error = 1.9503033595803930074112000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.671 y[1] (analytic) = 2.2210327358014929782050057635799 y[1] (numeric) = 2.2210327358014886111742170808738 absolute error = 4.3670307886827061e-15 relative error = 1.9662163093272902771701000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.671 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.67 y[1] (analytic) = 2.2276676319893071953664513254622 y[1] (numeric) = 2.2276676319893027795319668840521 absolute error = 4.4158344844414101e-15 relative error = 1.9822681000657489938900000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 1.426 Order of pole = 5.120e-27 TOP MAIN SOLVE Loop x[1] = -0.669 y[1] (analytic) = 2.2343323033061415092020975911664 y[1] (numeric) = 2.2343323033061370439779291554605 absolute error = 4.4652241684357059e-15 relative error = 1.9984601940492529683098999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.668 y[1] (analytic) = 2.2410269281795690057011725052888 y[1] (numeric) = 2.2410269281795644904934044653691 absolute error = 4.5152077680399197e-15 relative error = 2.0147940710858451282128000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.667 y[1] (analytic) = 2.2477516863757027033709532040576 y[1] (numeric) = 2.2477516863756981375776232373198 absolute error = 4.5657933299667378e-15 relative error = 2.0312712287755720131042000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.666 y[1] (analytic) = 2.2545067590112635157680202725248 y[1] (numeric) = 2.2545067590112588987789980261757 absolute error = 4.6169890222463491e-15 relative error = 2.0478931827515016213996000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.665 y[1] (analytic) = 2.2612923285657753406071569902198 y[1] (numeric) = 2.2612923285657706718040207487716 absolute error = 4.6688031362414482e-15 relative error = 2.0646614669243744302450000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.665 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.664 y[1] (analytic) = 2.268108578893888808245028305995 y[1] (numeric) = 2.2681085788938840870009396071892 absolute error = 4.7212440886988058e-15 relative error = 2.0815776337309486819968000000001e-13 % Correct digits = 14 h = 0.001 NO POLE memory used=57.2MB, alloc=4.4MB, time=3.58 TOP MAIN SOLVE Loop x[1] = -0.663 y[1] (analytic) = 2.2749556952378352431586394854961 y[1] (numeric) = 2.274955695237830468838215647374 absolute error = 4.7743204238381221e-15 relative error = 2.0986432543860994933748999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.662 y[1] (analytic) = 2.2818338642400124131762214656675 y[1] (numeric) = 2.281833864240007585135405986765 absolute error = 4.8280408154789025e-15 relative error = 2.1158599191387361472100000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.662 Order of pole = 6.6e-29 TOP MAIN SOLVE Loop x[1] = -0.661 y[1] (analytic) = 2.2887432739557036626758613113126 y[1] (numeric) = 2.2887432739556987802617921052072 absolute error = 4.8824140692061054e-15 relative error = 2.1332292375316007774734000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.66 y[1] (analytic) = 2.2956841138659320477502295684114 y[1] (numeric) = 2.2956841138659271103011049930852 absolute error = 4.9374491245753262e-15 relative error = 2.1507528386650120927200000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.66 Order of pole = 7.5e-29 TOP MAIN SOLVE Loop x[1] = -0.659 y[1] (analytic) = 2.3026565748904511134495867882777 y[1] (numeric) = 2.3026565748904461202945294299725 absolute error = 4.9931550573583052e-15 relative error = 2.1684323714646221405611999999999e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.1054 Order of pole = 6.014e-27 TOP MAIN SOLVE Loop x[1] = -0.658 y[1] (analytic) = 2.3096608494008739756654132907125 y[1] (numeric) = 2.3096608494008689261243314611568 absolute error = 5.0495410818295557e-15 relative error = 2.1862695049532517540947999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.657 y[1] (analytic) = 2.3166971312339423930091347367884 y[1] (numeric) = 2.3166971312339372863925816418574 absolute error = 5.1066165530949310e-15 relative error = 2.2042659285268738712190000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.657 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.656 y[1] (analytic) = 2.323765615704937537180249851279 y[1] (numeric) = 2.3237656157049323727892803883135 absolute error = 5.1643909694629655e-15 relative error = 2.2224233522348147214080000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.655 y[1] (analytic) = 2.3308664996212341938115494435056 y[1] (numeric) = 2.3308664996212289709375745836663 absolute error = 5.2228739748598393e-15 relative error = 2.2407435070642425556825000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.654 y[1] (analytic) = 2.337999981296000149631998802944 y[1] (numeric) = 2.3379999812959948675566375141026 absolute error = 5.2820753612888414e-15 relative error = 2.2592281452290180882424000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.653 y[1] (analytic) = 2.3451662605620425460062991165758 y[1] (numeric) = 2.3451662605620372040012277813582 absolute error = 5.3420050713352176e-15 relative error = 2.2778790404629788015984000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.652 y[1] (analytic) = 2.3523655387858030035003199217133 y[1] (numeric) = 2.3523655387857976008271192043993 absolute error = 5.4026732007173140e-15 relative error = 2.2966979883177330506560000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.652 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.651 y[1] (analytic) = 2.3595980188815033470897897834124 y[1] (numeric) = 2.3595980188814978829997888984704 absolute error = 5.4640900008849420e-15 relative error = 2.3156868064650393045420000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.65 y[1] (analytic) = 2.36686390532544378698224852071 y[1] (numeric) = 2.3668639053254382607163668547927 absolute error = 5.5262658816659173e-15 relative error = 2.3348473350038500592500000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.65 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.649 y[1] (analytic) = 2.3741634041704554357658220184663 y[1] (numeric) = 2.3741634041704498465544080567296 absolute error = 5.5892114139617367e-15 relative error = 2.3541814367720974597766999999999e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.4431 Order of pole = 1.625e-27 TOP MAIN SOLVE Loop x[1] = -0.648 y[1] (analytic) = 2.3814967230605090687395214144185 y[1] (numeric) = 2.3814967230605034158021889210319 absolute error = 5.6529373324933866e-15 relative error = 2.3736909976633030068864000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.647 y[1] (analytic) = 2.3888640712454820608252569820524 y[1] (numeric) = 2.3888640712454763433707183837581 absolute error = 5.7174545385982943e-15 relative error = 2.3933779269480933786287000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.647 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.646 y[1] (analytic) = 2.3962656595960854604184838347918 y[1] (numeric) = 2.3962656595960796776443807553388 absolute error = 5.7827741030794530e-15 relative error = 2.4132441576007050081480000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.646 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.645 y[1] (analytic) = 2.4037017006189531879093804458867 y[1] (numeric) = 2.4037017006189473390021113381071 absolute error = 5.8489072691077796e-15 relative error = 2.4332916466305640080900000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.644 y[1] (analytic) = 2.4111724084718953744068515875158 y[1] (numeric) = 2.4111724084718894585413964087333 absolute error = 5.9158654551787825e-15 relative error = 2.4535223754190275389200000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.644 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.643 y[1] (analytic) = 2.4186779989793178844307278527703 y[1] (numeric) = 2.4186779989793119007704697281264 absolute error = 5.9836602581246439e-15 relative error = 2.4739383500613758958110999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.642 y[1] (analytic) = 2.4262186896478100950107238866083 y[1] (numeric) = 2.4262186896478040427072677037684 absolute error = 6.0523034561828399e-15 relative error = 2.4945416017141440245435999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.641 y[1] (analytic) = 2.4337946996819030327515752736193 y[1] (numeric) = 2.433794699681896910944563151164 absolute error = 6.1218070121224553e-15 relative error = 2.5153341869478865561193000000001e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2762 Order of pole = 5.322e-27 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=3.82 x[1] = -0.64 y[1] (analytic) = 2.44140625 y[1] (numeric) = 2.4414062499999938078169235706346 absolute error = 6.1921830764293654e-15 relative error = 2.5363181881054680678400000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.64 Order of pole = 3.3e-29 TOP MAIN SOLVE Loop x[1] = -0.639 y[1] (analytic) = 2.4490535632504818512885695323042 y[1] (numeric) = 2.4490535632504755878445789808156 absolute error = 6.2634439905514886e-15 relative error = 2.5574957136659743766406000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.638 y[1] (analytic) = 2.4567368638279891117422195143522 y[1] (numeric) = 2.4567368638279827761399293090108 absolute error = 6.3356022902053414e-15 relative error = 2.5788688986143429848216000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.637 y[1] (analytic) = 2.4644563778898831601231242406394 y[1] (numeric) = 2.4644563778898767514524154954901 absolute error = 6.4086707087451493e-15 relative error = 2.6004399048168104863117000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.637 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.636 y[1] (analytic) = 2.4722123333728887306672995530241 y[1] (numeric) = 2.4722123333728822480051189572253 absolute error = 6.4826621805957988e-15 relative error = 2.6222109214022782314047999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.635 y[1] (analytic) = 2.4800049600099200198400396800794 y[1] (numeric) = 2.4800049600099134622501949291353 absolute error = 6.5575898447509441e-15 relative error = 2.6441841651496994347225000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.635 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.634 y[1] (analytic) = 2.4878344893470927166157489874514 y[1] (numeric) = 2.4878344893470860831487006498424 absolute error = 6.6334670483376090e-15 relative error = 2.6663618808815919632040000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.4792 Order of pole = 5.270e-27 TOP MAIN SOLVE Loop x[1] = -0.633 y[1] (analytic) = 2.4957011547609243078796772559267 y[1] (numeric) = 2.4957011547609175975723270072714 absolute error = 6.7103073502486553e-15 relative error = 2.6887463418637834435017000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.633 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.632 y[1] (analytic) = 2.5036051914757250440634513699728 y[1] (numeric) = 2.5036051914757182559389265254517 absolute error = 6.7881245248445211e-15 relative error = 2.7113398502114979958464000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.631 y[1] (analytic) = 2.5115468365811819841722318358655 y[1] (numeric) = 2.5115468365811751172396661102043 absolute error = 6.8669325657256612e-15 relative error = 2.7341447373018949890531999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.631 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.63 y[1] (analytic) = 2.5195263290501385739480977576216 y[1] (numeric) = 2.519526329050131627202408180467 absolute error = 6.9467456895771546e-15 relative error = 2.7571633641931726607400000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.629 y[1] (analytic) = 2.5275439097565722460513445269828 y[1] (numeric) = 2.5275439097565652184730044400036 absolute error = 7.0275783400869792e-15 relative error = 2.7803981220503525376672000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.629 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.628 y[1] (analytic) = 2.5355998214937725668384112945758 y[1] (numeric) = 2.5355998214937654573932193550939 absolute error = 7.1094451919394819e-15 relative error = 2.8038514325778606296496000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.627 y[1] (analytic) = 2.5436943089927224905819718209544 y[1] (numeric) = 2.5436943089927152982208169353415 absolute error = 7.1923611548856129e-15 relative error = 2.8275257484590261137641000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.627 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.626 y[1] (analytic) = 2.5518276189406853188253427104492 y[1] (numeric) = 2.5518276189406780424839648189251 absolute error = 7.2763413778915241e-15 relative error = 2.8514235538026188982116000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.625 y[1] (analytic) = 2.56 y[1] (numeric) = 2.5599999999999926385987466328315 absolute error = 7.3614012533671685e-15 relative error = 2.8755473645965501953125000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.624 y[1] (analytic) = 2.5682117028270874424720578566732 y[1] (numeric) = 2.5682117028270799949156363800981 absolute error = 7.4475564214765751e-15 relative error = 2.8998997291688629061376000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.623 y[1] (analytic) = 2.5764629800916705528316616382698 y[1] (numeric) = 2.5764629800916630180088871067584 absolute error = 7.5348227745315114e-15 relative error = 2.9244832286561409881705999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.622 y[1] (analytic) = 2.5847540864962107505091965550397 y[1] (numeric) = 2.584754086496203127292735084758 absolute error = 7.6232164614702817e-15 relative error = 2.9493004774794684652228000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.622 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.621 y[1] (analytic) = 2.593085278795563749705036549537 y[1] (numeric) = 2.5930852787955560369511441260812 absolute error = 7.7127538924234558e-15 relative error = 2.9743541238280739181678000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.62 y[1] (analytic) = 2.6014568158168574401664932362123 y[1] (numeric) = 2.601456815816849636714749867859 absolute error = 7.8034517433683533e-15 relative error = 2.9996468501507950085200000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.62 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.619 y[1] (analytic) = 2.6098689584795947395481272885289 y[1] (numeric) = 2.6098689584795868442211664143686 absolute error = 7.8953269608741603e-15 relative error = 3.0251813736555041347082999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.619 Order of pole = 2.2e-29 TOP MAIN SOLVE Loop x[1] = -0.618 y[1] (analytic) = 2.6183219698159843319613326211498 y[1] (numeric) = 2.6183219698159763435645656815588 absolute error = 7.9883967669395910e-15 relative error = 3.0509604468166363530840000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=4.07 x[1] = -0.617 y[1] (analytic) = 2.6268161149915022498680024902217 y[1] (numeric) = 2.626816114991494167189338565168 absolute error = 8.0826786639250537e-15 relative error = 3.0769868578909647679993000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.617 Order of pole = 2.7e-29 TOP MAIN SOLVE Loop x[1] = -0.616 y[1] (analytic) = 2.6353516613256872997132737392477 y[1] (numeric) = 2.6353516613256791215228341579241 absolute error = 8.1781904395813236e-15 relative error = 3.1032634314417707279616000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.616 Order of pole = 5.7e-29 TOP MAIN SOLVE Loop x[1] = -0.615 y[1] (analytic) = 2.6439288783131733756361953863441 y[1] (numeric) = 2.6439288783131651006860232095713 absolute error = 8.2749501721767728e-15 relative error = 3.1297930288715598922800000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.614 y[1] (analytic) = 2.6525480376449617502572971596516 y[1] (numeric) = 2.6525480376449533772810614344 absolute error = 8.3729762357252516e-15 relative error = 3.1565785489634769521936000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.614 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.613 y[1] (analytic) = 2.6612094132299364769313062014163 y[1] (numeric) = 2.6612094132299280046440008846491 absolute error = 8.4722873053167672e-15 relative error = 3.1836229284315762939768000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.612 y[1] (analytic) = 2.6699132812166260839847921739502 y[1] (numeric) = 2.6699132812166175110824296207983 absolute error = 8.5729023625531519e-15 relative error = 3.2109291424801077252336000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.612 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.611 y[1] (analytic) = 2.6786599200152147883456864199979 y[1] (numeric) = 2.6786599200152061135049853290332 absolute error = 8.6748407010909647e-15 relative error = 3.2385002053719800327686999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.61 y[1] (analytic) = 2.6874496103198065036280569739318 y[1] (numeric) = 2.6874496103197977255061246800102 absolute error = 8.7781219322939216e-15 relative error = 3.2663391710065682273599999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.61 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.609 y[1] (analytic) = 2.6962826351309449661751343422823 y[1] (numeric) = 2.6962826351309360834091433450775 absolute error = 8.8827659909972048e-15 relative error = 3.2944491335070343134288000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.608 y[1] (analytic) = 2.7051592797783933518005540166206 y[1] (numeric) = 2.7051592797783843630074126305693 absolute error = 8.9887931413860513e-15 relative error = 3.3228332278173332677631999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.608 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.607 y[1] (analytic) = 2.7140798319441768060165721714539 y[1] (numeric) = 2.7140798319441677097925891803732 absolute error = 9.0962239829910807e-15 relative error = 3.3514946303090806928342999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.606 y[1] (analytic) = 2.7230445816858913614133690596782 y[1] (numeric) = 2.7230445816858821563339122567999 absolute error = 9.2050794568028783e-15 relative error = 3.3804365593984618153788000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.605 y[1] (analytic) = 2.7320538214602827675705211392664 y[1] (numeric) = 2.7320538214602734521896696308598 absolute error = 9.3153808515084066e-15 relative error = 3.4096622761733645257650000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.604 y[1] (analytic) = 2.7411078461470988114556379106179 y[1] (numeric) = 2.741107846147089384305828058739 absolute error = 9.4271498098518789e-15 relative error = 3.4391750850309230527824000000001e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2949 Order of pole = 4.6e-29 TOP MAIN SOLVE Loop x[1] = -0.603 y[1] (analytic) = 2.7502069530732187597116683030398 y[1] (numeric) = 2.7502069530732092193033331802479 absolute error = 9.5404083351227919e-15 relative error = 3.4689783343256632399671000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.602 y[1] (analytic) = 2.7593514420370636085694418383904 y[1] (numeric) = 2.7593514420370539533906440645158 absolute error = 9.6551787977738746e-15 relative error = 3.4990754170284432505383999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.602 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.601 y[1] (analytic) = 2.7685416153332908823618982228732 y[1] (numeric) = 2.7685416153332811108779560510969 absolute error = 9.7714839421717763e-15 relative error = 3.5294697713963877713362999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.6 y[1] (analytic) = 2.7777777777777777777777777777778 y[1] (numeric) = 2.7777777777777678884308842943936 absolute error = 9.8893468934833842e-15 relative error = 3.5601648816540183120000000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.599 y[1] (analytic) = 2.7870602367328965080922293973539 y[1] (numeric) = 2.7870602367328864993010646966287 absolute error = 1.00087911647007252e-14 relative error = 3.5911642786857849024852000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.598 y[1] (analytic) = 2.7963893021330857596671178174741 y[1] (numeric) = 2.7963893021330756298264540099931 absolute error = 1.01298406638074810e-14 relative error = 3.6224715407402104355240000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.597 y[1] (analytic) = 2.8057652865107222320424007250097 y[1] (numeric) = 2.8057652865107119795226996347979 absolute error = 1.02525197010902118e-14 relative error = 3.6540902941458612974262000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.597 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.596 y[1] (analytic) = 2.8151885050222962929597765866403 y[1] (numeric) = 2.8151885050222859161067799891777 absolute error = 1.03768529965974626e-14 relative error = 3.6860242140393642749215999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.595 y[1] (analytic) = 2.8246592754748958406892168632158 y[1] (numeric) = 2.8246592754748853378235291132225 absolute error = 1.05028656877499933e-14 relative error = 3.7182770251056913780325000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.595 Order of pole = 2.2e-29 TOP MAIN SOLVE Loop x[1] = -0.594 y[1] (analytic) = 2.8341779183530025280867031708783 y[1] (numeric) = 2.8341779183529918975033660654169 absolute error = 1.06305833371054614e-14 relative error = 3.7508525023309425785303999999999e-13 % Correct digits = 14 h = 0.001 NO POLE memory used=68.6MB, alloc=4.4MB, time=4.31 TOP MAIN SOLVE Loop x[1] = -0.593 y[1] (analytic) = 2.8437447568456045659165815913027 y[1] (numeric) = 2.8437447568455938058846413103507 absolute error = 1.07600319402809520e-14 relative error = 3.7837544717678564898480000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.592 y[1] (analytic) = 2.8533601168736303871439006574142 y[1] (numeric) = 2.8533601168736194959059666205701 absolute error = 1.08912379340368441e-14 relative error = 3.8169868113142885306624000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.592 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.591 y[1] (analytic) = 2.8630243271177075191607903092352 y[1] (numeric) = 2.8630243271176964949325857836627 absolute error = 1.10242282045255725e-14 relative error = 3.8505534515048964883725000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.591 Order of pole = 6.0e-29 TOP MAIN SOLVE Loop x[1] = -0.59 y[1] (analytic) = 2.8727377190462510772766446423441 y[1] (numeric) = 2.872737719046239918246548933404 absolute error = 1.11590300957089401e-14 relative error = 3.8844583763162820488100000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.59 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.589 y[1] (analytic) = 2.8825006269438863602952833642241 y[1] (numeric) = 2.8825006269438750646238654165096 absolute error = 1.12956714179477145e-14 relative error = 3.9187056239858390620545000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.589 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.588 y[1] (analytic) = 2.8923133879402100976444999768616 y[1] (numeric) = 2.8923133879401986634640432095236 absolute error = 1.14341804567673380e-14 relative error = 3.9532992878445665094719999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.587 y[1] (analytic) = 2.9021763420388949673360052703523 y[1] (numeric) = 2.9021763420388833927500234666844 absolute error = 1.15745859818036679e-14 relative error = 3.9882435171641080446350999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.587 Order of pole = 2.7e-29 TOP MAIN SOLVE Loop x[1] = -0.586 y[1] (analytic) = 2.9120898321471420750387307947676 y[1] (numeric) = 2.9120898321471303581214748620063 absolute error = 1.17169172559327613e-14 relative error = 4.0235425180182864993747999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.586 Order of pole = 2.7e-29 TOP MAIN SOLVE Loop x[1] = -0.585 y[1] (analytic) = 2.9220542041054861567682080502593 y[1] (numeric) = 2.9220542041054742955641634614487 absolute error = 1.18612040445888106e-14 relative error = 4.0592005541594057075850000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.773 Order of pole = 5.514e-27 TOP MAIN SOLVE Loop x[1] = -0.584 y[1] (analytic) = 2.9320698067179583411521861512479 y[1] (numeric) = 2.932069806717946333675560876807 absolute error = 1.20074766252744409e-14 relative error = 4.0952219479095997155904000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.583 y[1] (analytic) = 2.9421369917826113819511664102105 y[1] (numeric) = 2.9421369917825992261853691425349 absolute error = 1.21557657972676756e-14 relative error = 4.1316110810675129920083999999998e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.583 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.582 y[1] (analytic) = 2.9522561141224123475159717055773 y[1] (numeric) = 2.9522561141224000414130801755913 absolute error = 1.23061028915299860e-14 relative error = 4.1683723958306029778640000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.581 y[1] (analytic) = 2.9624275316165078311771798282384 y[1] (numeric) = 2.9624275316164953726573990082925 absolute error = 1.24585197808199459e-14 relative error = 4.2055103957333617579499000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.581 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.58 y[1] (analytic) = 2.9726516052318668252080856123662 y[1] (numeric) = 2.9726516052318542121591955952494 absolute error = 1.26130488900171168e-14 relative error = 4.2430296466017580915200000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.579 y[1] (analytic) = 2.9829286990553064810091844374644 y[1] (numeric) = 2.982928699055293711285977776552 absolute error = 1.27697232066609124e-14 relative error = 4.2809347775242109338884000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.578 y[1] (analytic) = 2.9932591803259060595538846517642 y[1] (numeric) = 2.9932591803258931309775929424683 absolute error = 1.29285762917092959e-14 relative error = 4.3192304818394084114556000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2975 Order of pole = 5.575e-27 TOP MAIN SOLVE Loop x[1] = -0.577 y[1] (analytic) = 3.0036434194678144589386926341652 y[1] (numeric) = 3.0036434194678013692964021118768 absolute error = 1.30896422905222884e-14 relative error = 4.3579215181412949547236000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.576 y[1] (analytic) = 3.0140817901234567901234567901234 y[1] (numeric) = 3.0140817901234435371675127147377 absolute error = 1.32529559440753857e-14 relative error = 4.3970127113015551660032000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.576 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.575 y[1] (analytic) = 3.02457466918714555765595463138 y[1] (numeric) = 3.0245746691871321391033542232738 absolute error = 1.34185526004081062e-14 relative error = 4.4365089535099301123749999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.574 y[1] (analytic) = 3.0351224368391020893782855200378 y[1] (numeric) = 3.0351224368390885029100592070172 absolute error = 1.35864682263130206e-14 relative error = 4.4764152053327087752056000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.574 Order of pole = 4.0e-29 TOP MAIN SOLVE Loop x[1] = -0.573 y[1] (analytic) = 3.0457254765798939478389054880927 y[1] (numeric) = 3.0457254765798801910994862173464 absolute error = 1.37567394192707463e-14 relative error = 4.5167364967897448619327000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.572 y[1] (analytic) = 3.0563841752652941464130275319086 y[1] (numeric) = 3.0563841752652802170096078953883 absolute error = 1.39294034196365203e-14 relative error = 4.5574779284503552578352000000001e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.2277 Order of pole = 8.439e-27 TOP MAIN SOLVE Loop x[1] = -0.571 y[1] (analytic) = 3.0670989231415680849954453580991 y[1] (numeric) = 3.0670989231415539804973222739892 absolute error = 1.41044981230841099e-14 relative error = 4.5986446725484662759059000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.571 Order of pole = 3.8e-29 memory used=72.4MB, alloc=4.4MB, time=4.55 TOP MAIN SOLVE Loop x[1] = -0.57 y[1] (analytic) = 3.0778701138811942136041859033549 y[1] (numeric) = 3.0778701138811799315420925903998 absolute error = 1.42820620933129551e-14 relative error = 4.6402419741173791119900000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.57 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.569 y[1] (analytic) = 3.0886981446190245273519664196738 y[1] (numeric) = 3.0886981446190100652173913950867 absolute error = 1.44621345750245871e-14 relative error = 4.6822751521445353440831000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.568 y[1] (analytic) = 3.0995834159888910930370958143225 y[1] (numeric) = 3.0995834159888764482815886398073 absolute error = 1.46447555071745152e-14 relative error = 4.7247496007466707918848000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.568 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.567 y[1] (analytic) = 3.1105263321606649061087626637303 y[1] (numeric) = 3.110526332160650076143226157801 absolute error = 1.48299655365059293e-14 relative error = 4.7676707903657547047277000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.5016 Order of pole = 3.810e-27 TOP MAIN SOLVE Loop x[1] = -0.566 y[1] (analytic) = 3.1215273008777734770068299017343 y[1] (numeric) = 3.1215273008777584592007985300148 absolute error = 1.50178060313717195e-14 relative error = 4.8110442689861185721420000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.565 y[1] (analytic) = 3.1325867334951836478972511551414 y[1] (numeric) = 3.1325867334951684395781553036593 absolute error = 1.52083190958514821e-14 relative error = 4.8548756633731893733724999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.564 y[1] (analytic) = 3.1437050450178562446557014234697 y[1] (numeric) = 3.143705045017840843108117253128 absolute error = 1.54015475841703417e-14 relative error = 4.8991706803342490134031999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.564 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.563 y[1] (analytic) = 3.154882654139679274629380160205 y[1] (numeric) = 3.1548826541396636770942647336115 absolute error = 1.55975351154265935e-14 relative error = 4.9439351080016519151014999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.562 y[1] (analytic) = 3.1661199832828864882663593419536 y[1] (numeric) = 3.1661199832828706919402707066101 absolute error = 1.57963260886353435e-14 relative error = 4.9891748171389414324140000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.561 y[1] (analytic) = 3.1774174586379682321802485375936 y[1] (numeric) = 3.177417458637952234214550442088 absolute error = 1.59979656980955056e-14 relative error = 5.0348957624703156179376000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.56 y[1] (analytic) = 3.1887755102040816326530612244898 y[1] (numeric) = 3.1887755102040654301531121367925 absolute error = 1.62024999490876973e-14 relative error = 5.0811039840339018732800000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.559 y[1] (analytic) = 3.2001945718299672620095301794349 y[1] (numeric) = 3.2001945718299508520338562686661 absolute error = 1.64099756739107688e-14 relative error = 5.1278056085593109453928000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.559 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.558 y[1] (analytic) = 3.2116750812553795557611027607559 y[1] (numeric) = 3.211675081255362935320554495864 absolute error = 1.66204405482648919e-14 relative error = 5.1750068508699498015516000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.557 y[1] (analytic) = 3.2232174801530383659576662616156 y[1] (numeric) = 3.2232174801530215320145582722782 absolute error = 1.68339431079893374e-14 relative error = 5.2227140153105839390126000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.556 y[1] (analytic) = 3.2348222141711091558407949899074 y[1] (numeric) = 3.2348222141710921053080288266321 absolute error = 1.70505327661632753e-14 relative error = 5.2709334972006502731407999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.556 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.555 y[1] (analytic) = 3.2464897329762194627059491924357 y[1] (numeric) = 3.2464897329762021924461186142947 absolute error = 1.72702598305781410e-14 relative error = 5.3196717843138318815250000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.554 y[1] (analytic) = 3.2582204902970193798954762866713 y[1] (numeric) = 3.2582204902970018867199546963384 absolute error = 1.74931755215903329e-14 relative error = 5.3689354583844186123364000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.554 Order of pole = 4.0e-29 TOP MAIN SOLVE Loop x[1] = -0.553 y[1] (analytic) = 3.2700149439682939351032834220052 y[1] (numeric) = 3.2700149439682762157712930587822 absolute error = 1.77193319903632230e-14 relative error = 5.4187311966409868624070000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.552 y[1] (analytic) = 3.2818735559756353707204368830078 y[1] (numeric) = 3.2818735559756174219380993753111 absolute error = 1.79487823375076967e-14 relative error = 5.4690657733679452152768000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.552 Order of pole = 4.7e-29 TOP MAIN SOLVE Loop x[1] = -0.551 y[1] (analytic) = 3.2937967925006834628344438918185 y[1] (numeric) = 3.2937967925006652812538117611492 absolute error = 1.81815806321306693e-14 relative error = 5.5199460614955033301493000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.55 y[1] (analytic) = 3.3057851239669421487603305785124 y[1] (numeric) = 3.3057851239669237309783992772395 absolute error = 1.84177819313012729e-14 relative error = 5.5713790342186350522500000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.55 Order of pole = 4.0e-29 TOP MAIN SOLVE Loop x[1] = -0.549 y[1] (analytic) = 3.3178390250861808686766135480639 y[1] (numeric) = 3.3178390250861622112343136034142 absolute error = 1.86574422999446497e-14 relative error = 5.6233717666456173642297000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.548 y[1] (analytic) = 3.3299589749054291651126858117108 y[1] (numeric) = 3.3299589749054102644938546381617 absolute error = 1.89006188311735491e-14 relative error = 5.6759314374767414889264000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=4.78 x[1] = -0.547 y[1] (analytic) = 3.342145456854573224735886955272 y[1] (numeric) = 3.3421454568545540773662198870886 absolute error = 1.91473696670681834e-14 relative error = 5.7290653307138040869306000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.547 Order of pole = 5.4e-29 TOP MAIN SOLVE Loop x[1] = -0.546 y[1] (analytic) = 3.3543989587945631901675857719813 y[1] (numeric) = 3.3543989587945437924135658569112 absolute error = 1.93977540199150701e-14 relative error = 5.7827808374010010379316000000001e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.311 Order of pole = 4.44e-28 TOP MAIN SOLVE Loop x[1] = -0.545 y[1] (analytic) = 3.3667199730662402154700782762394 y[1] (numeric) = 3.3667199730662205636378843603777 absolute error = 1.96518321939158617e-14 relative error = 5.8370854573978588214425000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.545 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.544 y[1] (analytic) = 3.3791089965397923875432525951557 y[1] (numeric) = 3.3791089965397724778776452177028 absolute error = 1.99096656073774529e-14 relative error = 5.8919868011848539014144000000000e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.384 Order of pole = 8.24e-28 TOP MAIN SOLVE Loop x[1] = -0.543 y[1] (analytic) = 3.3915665306648487870062303077168 y[1] (numeric) = 3.3915665306648286156894149127719 absolute error = 2.01713168153949449e-14 relative error = 5.9474925917023841088201000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.543 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.542 y[1] (analytic) = 3.4040930815212211162702032924387 y[1] (numeric) = 3.4040930815212006794206702530925 absolute error = 2.04368495330393462e-14 relative error = 6.0036106662237704970968000000002e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.541 y[1] (analytic) = 3.4166891598703024794913233178786 y[1] (numeric) = 3.4166891598702817731626642556766 absolute error = 2.07063286590622020e-14 relative error = 6.0603489782629843435619999999998e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.541 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.54 y[1] (analytic) = 3.4293552812071330589849108367628 y[1] (numeric) = 3.4293552812071120791646107071058 absolute error = 2.09798203001296570e-14 relative error = 6.1177155995178079811999999999998e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.54 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.539 y[1] (analytic) = 3.4420919658131425955438677410583 y[1] (numeric) = 3.4420919658131213381520721422688 absolute error = 2.12573917955987895e-14 relative error = 6.1757187218491559243295000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.538 y[1] (analytic) = 3.4548997388095797459957712027197 y[1] (numeric) = 3.454899738809558206884028353337 absolute error = 2.15391117428493827e-14 relative error = 6.2343666592972967262188000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.538 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.537 y[1] (analytic) = 3.4677791302116385603168163013361 y[1] (numeric) = 3.4677791302116167352667931166871 absolute error = 2.18250500231846490e-14 relative error = 6.2936678501357340474810000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.537 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.536 y[1] (analytic) = 3.4807306749832924927600801960347 y[1] (numeric) = 3.4807306749832703774822518812562 absolute error = 2.21152778283147785e-14 relative error = 6.3536308589635226039360000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.535 y[1] (analytic) = 3.4937549130928465368154423967159 y[1] (numeric) = 3.4937549130928241269477549591716 absolute error = 2.24098676874375443e-14 relative error = 6.4142643788368111172674999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.534 y[1] (analytic) = 3.5068523895692182524653172298672 y[1] (numeric) = 3.5068523895691955435718222992931 absolute error = 2.27088934949305741e-14 relative error = 6.4755772334404227880595999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.534 Order of pole = 1.4e-29 TOP MAIN SOLVE Loop x[1] = -0.533 y[1] (analytic) = 3.5200236545589586362020352776771 y[1] (numeric) = 3.520023654558935623771496607392 absolute error = 2.30124305386702851e-14 relative error = 6.5375783793003026237738999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.532 y[1] (analytic) = 3.5332692633840239696986827972186 y[1] (numeric) = 3.5332692633840006491431538043474 absolute error = 2.33205555289928712e-14 relative error = 6.6002769080376783785088000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.531 y[1] (analytic) = 3.5465897766003099719464748670915 y[1] (numeric) = 3.5465897766002863385998465539469 absolute error = 2.36333466283131446e-14 relative error = 6.6636820486658025645606000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.531 Order of pole = 3.5e-29 TOP MAIN SOLVE Loop x[1] = -0.53 y[1] (analytic) = 3.5599857600569597721609113563545 y[1] (numeric) = 3.5599857600569358212774299389051 absolute error = 2.39508834814174494e-14 relative error = 6.7278031699301615364600000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.529 y[1] (analytic) = 3.5734577849564574168903055663752 y[1] (numeric) = 3.5734577849564331436430591190763 absolute error = 2.42732472464472989e-14 relative error = 6.7926497826930585714749000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.529 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.528 y[1] (analytic) = 3.5870064279155188246097337006428 y[1] (numeric) = 3.5870064279154942240891071098126 absolute error = 2.46005206265908302e-14 relative error = 6.8582315423634980064768000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.528 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.527 y[1] (analytic) = 3.6006322710267923047287103615395 y[1] (numeric) = 3.6006322710267673719408078619117 absolute error = 2.49327879024996278e-14 relative error = 6.9245582513733191292662000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.526 y[1] (analytic) = 3.6143359019213809654614061212394 y[1] (numeric) = 3.6143359019213556953264406723035 absolute error = 2.52701349654489359e-14 relative error = 6.9916398617005497890683999999998e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.525 y[1] (analytic) = 3.628117913832199546485260770975 y[1] (numeric) = 3.6281179138321739338359095112122 absolute error = 2.56126493512597628e-14 relative error = 7.0594864774409721217500000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.525 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=5.03 x[1] = -0.524 y[1] (analytic) = 3.6419789056581784278305460054775 y[1] (numeric) = 3.6419789056581524674102710035976 absolute error = 2.59604202750018799e-14 relative error = 7.1281083574289161754224000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.524 Order of pole = 4.3e-29 TOP MAIN SOLVE Loop x[1] = -0.523 y[1] (analytic) = 3.6559194820293277860848392675 y[1] (numeric) = 3.655919482029301472546172770277 absolute error = 2.63135386664972230e-14 relative error = 7.1975159179083189099669999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.522 y[1] (analytic) = 3.6699402533726750928494884103287 y[1] (numeric) = 3.6699402533726484207522817665911 absolute error = 2.66720972066437376e-14 relative error = 7.2677197352551121961984000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.521 y[1] (analytic) = 3.6840418359790893785389826886873 y[1] (numeric) = 3.6840418359790623423486181084421 absolute error = 2.70361903645802452e-14 relative error = 7.3387305487520263373332000000002e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.52 y[1] (analytic) = 3.6982248520710059171597633136094 y[1] (numeric) = 3.6982248520709785112453276001417 absolute error = 2.74059144357134677e-14 relative error = 7.4105592634169216660800000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.519 y[1] (analytic) = 3.7124899298710652247355779047449 y[1] (numeric) = 3.7124899298710374433679972758286 absolute error = 2.77813675806289163e-14 relative error = 7.4832169528857855234843000000001e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.3313 Order of pole = 2.458e-27 TOP MAIN SOLVE Loop x[1] = -0.518 y[1] (analytic) = 3.7268377036716805056573396341736 y[1] (numeric) = 3.7268377036716523430074747262254 absolute error = 2.81626498649079482e-14 relative error = 7.5567148623515602928168000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.517 y[1] (analytic) = 3.7412688139055479275241405370217 y[1] (numeric) = 3.7412688139055193776608406631284 absolute error = 2.85498632998738933e-14 relative error = 7.6310644115599930662637000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.516 y[1] (analytic) = 3.7557839072171143561084069466979 y[1] (numeric) = 3.7557839072170854129965226559142 absolute error = 2.89431118842907837e-14 relative error = 7.7062771978637269048272000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.515 y[1] (analytic) = 3.7703836365350174380243189744557 y[1] (numeric) = 3.7703836365349880955226719355969 absolute error = 2.93425016470388588e-14 relative error = 7.7823649993358813252299999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.515 Order of pole = 3.6e-29 TOP MAIN SOLVE Loop x[1] = -0.514 y[1] (analytic) = 3.7850686611455131796090781086768 y[1] (numeric) = 3.7850686611454834314683873169951 absolute error = 2.97481406907916817e-14 relative error = 7.8593397779443991384132000000002e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.513 y[1] (analytic) = 3.7998396467669064365483776584628 y[1] (numeric) = 3.7998396467668762764091409380766 absolute error = 3.01601392367203862e-14 relative error = 7.9372136827884673158678000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.512 y[1] (analytic) = 3.814697265625 y[1] (numeric) = 3.8146972656249694213903297487318 absolute error = 3.05786096702512682e-14 relative error = 8.0159990533983484510208000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.511 y[1] (analytic) = 3.8296421965295782415048961975483 y[1] (numeric) = 3.8296421965295472378383082938803 absolute error = 3.10036665879036680e-14 relative error = 8.0957084230999936918279999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.51 y[1] (analytic) = 3.8446751249519415609381007304882 y[1] (numeric) = 3.844675124951910125511255494665 absolute error = 3.14354268452358232e-14 relative error = 8.1763545224458376143200000000002e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.51 Order of pole = 1.4e-29 TOP MAIN SOLVE Loop x[1] = -0.509 y[1] (analytic) = 3.859796743103508169259806778575 y[1] (numeric) = 3.8597967431034762952502008514303 absolute error = 3.18740096059271447e-14 relative error = 8.2579502827132105760207000000001e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.508 y[1] (analytic) = 3.875007750015500031000062000124 y[1] (numeric) = 3.8750077500154677114636699739723 absolute error = 3.23195363920261517e-14 relative error = 8.3405088394718368123088000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.508 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.507 y[1] (analytic) = 3.8903088516197300903718746231262 y[1] (numeric) = 3.890308851619697318240739229009 absolute error = 3.27721311353941172e-14 relative error = 8.4240435362219224321428000000003e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.3404 Order of pole = 7.32e-28 TOP MAIN SOLVE Loop x[1] = -0.506 y[1] (analytic) = 3.9057007608305082097829992657283 y[1] (numeric) = 3.9057007608304749778627688904185 absolute error = 3.32319202303753098e-14 relative error = 8.5085679281043728199527999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.506 Order of pole = 5.8e-29 TOP MAIN SOLVE Loop x[1] = -0.505 y[1] (analytic) = 3.9211841976276835604352514459366 y[1] (numeric) = 3.9211841976276498614026637203615 absolute error = 3.36990325877255751e-14 relative error = 8.5940957856847147898775000000002e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.505 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.504 y[1] (analytic) = 3.9367598891408415217939027462837 y[1] (numeric) = 3.9367598891408073481942129143884 absolute error = 3.41735996898318953e-14 relative error = 8.6806410988123387165248000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.503 y[1] (analytic) = 3.9524285697346734701137113699513 y[1] (numeric) = 3.9524285697346388143580641134839 absolute error = 3.46557556472564674e-14 relative error = 8.7682180805567115604065999999999e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.503 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.502 y[1] (analytic) = 3.9681909810955381660608561768861 y[1] (numeric) = 3.9681909810955030204235995370943 absolute error = 3.51456372566397918e-14 relative error = 8.8568411712222540927672000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.501 y[1] (analytic) = 3.9840478723192337879131955649579 y[1] (numeric) = 3.9840478723191981445291355667338 absolute error = 3.56433840599982241e-14 relative error = 8.9465250424436142473241000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.501 Order of pole = 2.4e-29 memory used=83.9MB, alloc=4.4MB, time=5.27 TOP MAIN SOLVE Loop x[1] = -0.5 y[1] (analytic) = 4 y[1] (numeric) = 3.9999999999999638508615945475537 absolute error = 3.61491384054524463e-14 relative error = 9.0372846013631115750000000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.499 y[1] (analytic) = 4.0160481283207697961052365251545 y[1] (numeric) = 4.0160481283207331330597271008165 absolute error = 3.66630455094243380e-14 relative error = 9.1291349948921695863380000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.499 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.498 y[1] (analytic) = 4.0321930291446912146578280995468 y[1] (numeric) = 4.0321930291446540294043077587554 absolute error = 3.71852535203407914e-14 relative error = 9.2220916140585976303656000000000e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.497 y[1] (analytic) = 4.0484354821079393868239618799316 y[1] (numeric) = 4.0484354821079016709103779958293 absolute error = 3.77159135838841023e-14 relative error = 9.3161700984416282250206999999998e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.5177 Order of pole = 9.468e-27 TOP MAIN SOLVE Loop x[1] = -0.496 y[1] (analytic) = 4.0647762747138397502601456815817 y[1] (numeric) = 4.0647762747138014950802358518855 absolute error = 3.82551799098296962e-14 relative error = 9.4113863406966625403392000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.496 Order of pole = 2.0e-29 TOP MAIN SOLVE Loop x[1] = -0.495 y[1] (analytic) = 4.0812162024283236404448525660646 y[1] (numeric) = 4.0812162024282848372350120529565 absolute error = 3.88032098405131081e-14 relative error = 9.5077564911717243122025000000002e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.4675 Order of pole = 1.372e-26 TOP MAIN SOLVE Loop x[1] = -0.494 y[1] (analytic) = 4.0977560687767378583487682145257 y[1] (numeric) = 4.0977560687766984981848472451999 absolute error = 3.93601639209693258e-14 relative error = 9.6052969626176703909288000000001e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.494 Order of pole = 3.5e-29 TOP MAIN SOLVE Loop x[1] = -0.493 y[1] (analytic) = 4.1143966854420302079004645153858 y[1] (numeric) = 4.1143966854419902816944937265446 absolute error = 3.99262059707888412e-14 relative error = 9.7040244349942570648188000000000e-13 % Correct digits = 14 h = 0.001 Real estimate of pole used Radius of convergence = 0.493 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.492 y[1] (analytic) = 4.1311388723643333994315552911626 y[1] (numeric) = 4.1311388723642928979283975551397 absolute error = 4.05015031577360229e-14 relative error = 9.8039558603742126472656000000002e-13 % Correct digits = 14 h = 0.001 Complex estimate of poles used Radius of convergence = 0.4194 Order of pole = 1.151e-27 TOP MAIN SOLVE Loop x[1] = -0.491 y[1] (analytic) = 4.1479834578419701262231366221312 y[1] (numeric) = 4.1479834578419290399970634454036 absolute error = 4.10862260731767276e-14 relative error = 9.9051084679475186665355999999999e-13 % Correct digits = 14 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.49 y[1] (analytic) = 4.1649312786339025406080799666806 y[1] (numeric) = 4.1649312786338608600592706032622 absolute error = 4.16805488093634184e-14 relative error = 1.0007499769128156757840000000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.49 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.489 y[1] (analytic) = 4.1819831800636497840005687497125 y[1] (numeric) = 4.1819831800636074993515301222627 absolute error = 4.22846490386274498e-14 relative error = 1.0111147562765634423625800000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.489 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.488 y[1] (analytic) = 4.1991400161246976619188390217684 y[1] (numeric) = 4.1991400161246547632107444921622 absolute error = 4.28987080945296062e-14 relative error = 1.0216069940463658538892800000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.488 Order of pole = 3.6e-29 TOP MAIN SOLVE Loop x[1] = -0.487 y[1] (analytic) = 4.2164026495874250007378704636778 y[1] (numeric) = 4.2164026495873814778268154422156 absolute error = 4.35229110550214622e-14 relative error = 1.0322285292008385168511800000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.486 y[1] (analytic) = 4.2337719521075716777591491811885 y[1] (numeric) = 4.2337719521075275203123215095329 absolute error = 4.41574468276716556e-14 relative error = 1.0429812310908734366097600000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.485 y[1] (analytic) = 4.2512488043362737804229992560315 y[1] (numeric) = 4.251248804336228977914762243301 absolute error = 4.48025082370127305e-14 relative error = 1.0538670000051319531862500000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.484 y[1] (analytic) = 4.2688340960316918243289392801037 y[1] (numeric) = 4.2688340960316463660368252142725 absolute error = 4.54582921140658312e-14 relative error = 1.0648877677472605353587200000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.483 y[1] (analytic) = 4.286528726172258443389958377806 y[1] (numeric) = 4.2865287261722123183905702756102 absolute error = 4.61249993881021958e-14 relative error = 1.0760454982250973155986200000000e-12 % Correct digits = 13 h = 0.001 Complex estimate of poles used Radius of convergence = 0.3525 Order of pole = 2.264e-27 TOP MAIN SOLVE Loop x[1] = -0.482 y[1] (analytic) = 4.3043336030715724591518741068508 y[1] (numeric) = 4.304333603071525656316693404734 absolute error = 4.68028351807021168e-14 relative error = 1.0873421880521438583443200000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.482 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.481 y[1] (analytic) = 4.322249644494966740288985611231 y[1] (numeric) = 4.3222496444949192482800834374111 absolute error = 4.74920089021738199e-14 relative error = 1.0987798671615837145883900000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.481 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.48 y[1] (analytic) = 4.3402777777777777777777777777777 y[1] (numeric) = 4.340277777777729585043427381243 absolute error = 4.81927343503965347e-14 relative error = 1.1103605994331361594880000000000e-12 % Correct digits = 13 h = 0.001 Complex estimate of poles used Radius of convergence = 1.181 Order of pole = 2.504e-26 TOP MAIN SOLVE Loop x[1] = -0.479 y[1] (analytic) = 4.3584189399453454264930853683518 y[1] (numeric) = 4.3584189399452965212632732144236 absolute error = 4.89052298121539282e-14 relative error = 1.1220864833330409440136200000000e-12 % Correct digits = 13 h = 0.001 Complex estimate of poles used Radius of convergence = 0.4645 Order of pole = 2.616e-27 TOP MAIN SOLVE Loop x[1] = -0.478 y[1] (analytic) = 4.3766740778347718002135816949983 y[1] (numeric) = 4.3766740778347221704954146689848 absolute error = 4.96297181670260135e-14 relative error = 1.1339596525674771668534000000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.478 Order of pole = 2.7e-29 memory used=87.7MB, alloc=4.4MB, time=5.52 TOP MAIN SOLVE Loop x[1] = -0.477 y[1] (analytic) = 4.3950441482184688545196436498205 y[1] (numeric) = 4.3950441482184184880926497401542 absolute error = 5.03664269939096663e-14 relative error = 1.1459822767497272463572700000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.477 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.476 y[1] (analytic) = 4.4135301179295247510769013487748 y[1] (numeric) = 4.4135301179294736354882211088296 absolute error = 5.11155886802399452e-14 relative error = 1.1581565620814045823635200000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.475 y[1] (analytic) = 4.4321329639889196675900277008309 y[1] (numeric) = 4.4321329639888677901494937142691 absolute error = 5.18774405339865618e-14 relative error = 1.1704847520480718006125000000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.474 y[1] (analytic) = 4.4508536737346223005572468799515 y[1] (numeric) = 4.4508536737345696483323483779025 absolute error = 5.26522248985020490e-14 relative error = 1.1829691281295846361124000000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.473 y[1] (analytic) = 4.4696932449525989031372776886321 y[1] (numeric) = 4.4696932449525454629480073881767 absolute error = 5.34401892703004554e-14 relative error = 1.1956120105255050586186600000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.473 Order of pole = 3.7e-29 TOP MAIN SOLVE Loop x[1] = -0.472 y[1] (analytic) = 4.4886526860097673082447572536627 y[1] (numeric) = 4.4886526860097130666583374059125 absolute error = 5.42415864198477502e-14 relative error = 1.2084157588959361180556800000000e-12 % Correct digits = 13 h = 0.001 Complex estimate of poles used Radius of convergence = 0.1226 Order of pole = 8.04e-28 TOP MAIN SOLVE Loop x[1] = -0.471 y[1] (analytic) = 4.5077330159889290077127311903571 y[1] (numeric) = 4.5077330159888739510382157428152 absolute error = 5.50566745154475419e-14 relative error = 1.2213827731181398142637900000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.47 y[1] (analytic) = 4.5269352648257129923042100497964 y[1] (numeric) = 4.5269352648256571065869597415693 absolute error = 5.58857172503082271e-14 relative error = 1.2345154940593087366390000000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.47 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.469 y[1] (analytic) = 4.5462604734475657048294925009433 y[1] (numeric) = 4.5462604734475089758455196206782 absolute error = 5.67289839728802651e-14 relative error = 1.2478164043658715991661100000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.469 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.468 y[1] (analytic) = 4.5657096939148221199503250785301 y[1] (numeric) = 4.5657096939147645332005045235829 absolute error = 5.75867498205549472e-14 relative error = 1.2612880292697226755532800000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.467 y[1] (analytic) = 4.5852839895638936397525780759231 y[1] (numeric) = 4.5852839895638351804567212571426 absolute error = 5.84592958568187805e-14 relative error = 1.2749329374117751020464500000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.466 y[1] (analytic) = 4.6049844351526091841809574683637 y[1] (numeric) = 4.6049844351525498372717455079094 absolute error = 5.93469092119604543e-14 relative error = 1.2887537416832484413970800000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.465 y[1] (analytic) = 4.6248121170077465602959879754886 y[1] (numeric) = 4.6248121170076863104127605451963 absolute error = 6.02498832274302923e-14 relative error = 1.3027531000851114952567500000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.465 Order of pole = 7.3e-29 TOP MAIN SOLVE Loop x[1] = -0.464 y[1] (analytic) = 4.6447681331747919143876337693222 y[1] (numeric) = 4.6447681331747307458700298141995 absolute error = 6.11685176039551227e-14 relative error = 1.3169337166061122096819200000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.464 Order of pole = 4.2e-29 TOP MAIN SOLVE Loop x[1] = -0.463 y[1] (analytic) = 4.6648535935699658066231591321505 y[1] (numeric) = 4.6648535935699037035046056175141 absolute error = 6.21031185535146364e-14 relative error = 1.3312983421198379090431600000000e-12 % Correct digits = 13 h = 0.001 Real estimate of pole used Radius of convergence = 0.463 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.462 y[1] (analytic) = 4.6850696201345551994902644253294 y[1] (numeric) = 4.6850696201344921454913091368017 absolute error = 6.30539989552885277e-14 relative error = 1.3458497753012604506398800000000e-12 % Correct digits = 13 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = -0.461 y[1] (analytic) = 4.7054173469915914192009260261338 y[1] (numeric) = 4.7054173469915273977224103390769 absolute error = 6.40214785156870569e-14 relative error = 1.3605908635632329019444900000000e-12 % Correct digits = 13 h = 0.001 Complex estimate of poles used Radius of convergence = 0.08106 Order of pole = 3.96e-28 TOP MAIN SOLVE Loop x[1] = -0.4593787743689918592843579672963 y[1] (analytic) = 4.738688385383093606729290917859 y[1] (numeric) = 4.7386883853830290231397098721633 absolute error = 6.45835895810456957e-14 relative error = 1.3629001176836090369560798138793e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.4311 Order of pole = 1.914e-27 TOP MAIN SOLVE Loop x[1] = -0.45856816155348778892653695094445 y[1] (analytic) = 4.7554563904274722167268982382405 y[1] (numeric) = 4.7554563904274073460805228995066 absolute error = 6.48706463753387339e-14 relative error = 1.3641308225624891837928779026145e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4586 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.4577575487379837185687159345926 y[1] (analytic) = 4.772313554402272698132294431869 y[1] (numeric) = 4.7723135544022075363427789102948 absolute error = 6.51617895155215742e-14 relative error = 1.3654129967091615476339055164792e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4578 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.45694693592247964821089491824075 y[1] (analytic) = 4.7892605105314758979515350878797 y[1] (numeric) = 4.7892605105314104408669751999815 absolute error = 6.54570845598878982e-14 relative error = 1.3667472131856106982995208579749e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4569 Order of pole = 1.1e-29 memory used=91.5MB, alloc=4.4MB, time=5.75 TOP MAIN SOLVE Loop x[1] = -0.45532571029147150749525288553705 y[1] (analytic) = 4.8234263603672065697720112133627 y[1] (numeric) = 4.8234263603671405093735402473807 absolute error = 6.60603984709659820e-14 relative error = 1.3695741063607077833266053741165e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4553 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.4545150974759674371374318691852 y[1] (analytic) = 4.8406465489212672305694015980155 y[1] (numeric) = 4.8406465489212008620150011033338 absolute error = 6.63685544004946817e-14 relative error = 1.3710679705644867045631784276863e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.45370448466046336677961085283335 y[1] (analytic) = 4.8579591194474823697714171973535 y[1] (numeric) = 4.8579591194474156886350097827755 absolute error = 6.66811364074145780e-14 relative error = 1.3726162523779847037858816816554e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4537 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.4528938718449592964217898364815 y[1] (analytic) = 4.8753647339374821755922288542489 y[1] (numeric) = 4.8753647339374151773760898604042 absolute error = 6.69982161389938447e-14 relative error = 1.3742195670534826672089499746024e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4529 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.4512726462139511557061478037778 y[1] (analytic) = 4.9104577725407997062205828491043 y[1] (numeric) = 4.910457772540732060058737122804 absolute error = 6.76461618457263003e-14 relative error = 1.3775938003988658895757625667621e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4513 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.45046203339844708534832678742595 y[1] (analytic) = 4.9281465505958684451141984034806 y[1] (numeric) = 4.9281465505958004679365250068478 absolute error = 6.79771776733966328e-14 relative error = 1.3793659944056944917090744246848e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4496514205829430149905057710741 y[1] (analytic) = 4.9459310806288189866197078249097 y[1] (numeric) = 4.9459310806287506736287241147889 absolute error = 6.83129909837101208e-14 relative error = 1.3811957722432496884235950489204e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.44884080776743894463268475472225 y[1] (analytic) = 4.9638120549815809943317401656532 y[1] (numeric) = 4.9638120549815123406515993748887 absolute error = 6.86536801407907645e-14 relative error = 1.3830837948808179600300334312445e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.44721958213643080391704272201855 y[1] (analytic) = 4.999866137426839194111970834643 y[1] (numeric) = 4.9998661374267698441053663246537 absolute error = 6.93500066045099893e-14 relative error = 1.3870372665657142694290136457676e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 2.488 Order of pole = 5.503e-26 TOP MAIN SOLVE Loop x[1] = -0.4464089693209267335592217056667 y[1] (analytic) = 5.0180406618213578722640586191029 y[1] (numeric) = 5.0180406618212881664561801883784 absolute error = 6.97058078784307245e-14 relative error = 1.3891040861580058993148821581448e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.44559835650542266320140068931485 y[1] (analytic) = 5.0363144632788260188626577765779 y[1] (numeric) = 5.0363144632787559520496651042382 absolute error = 7.00668129926723397e-14 relative error = 1.3912318919628435283131042892582e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4456 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.444787743689918592843579672963 y[1] (analytic) = 5.0546882661766410461646421494065 y[1] (numeric) = 5.0546882661765706130569147580692 absolute error = 7.04331077273913373e-14 relative error = 1.3934213945238375491785698125099e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4448 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.44397713087441452248575865661115 y[1] (analytic) = 5.0731628015110678549859025841641 y[1] (numeric) = 5.0731628015109970502064658478876 absolute error = 7.08047794367362765e-14 relative error = 1.3956733147938147318973177822904e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.44235590524340638177011662390745 y[1] (analytic) = 5.1104170270063311374152165318654 y[1] (numeric) = 5.1104170270062595728039590026828 absolute error = 7.15646112575291826e-14 relative error = 1.4003673453524700660216377144301e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4424 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.4415452924279023114122956075556 y[1] (analytic) = 5.1291982129130817430483619910607 y[1] (numeric) = 5.1291982129130097900941247717301 absolute error = 7.19529542372193306e-14 relative error = 1.4028109511555471920903731249776e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4415 Order of pole = 3.9e-29 TOP MAIN SOLVE Loop x[1] = -0.44073467961239824105447459120375 y[1] (analytic) = 5.1480831228984096087584771787434 y[1] (numeric) = 5.148083122898337261718481918299 absolute error = 7.23470399952604444e-14 relative error = 1.4053199660561913279680297904835e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4407 Order of pole = 8.2e-29 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=5.97 x[1] = -0.4399240667968941706966535748519 y[1] (analytic) = 5.1670725221624037410303126958117 y[1] (numeric) = 5.1670725221623309940660651926133 absolute error = 7.27469642475031984e-14 relative error = 1.4078951656954646471115592707919e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4399 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.4383028411658860299810115421482 y[1] (analytic) = 5.2053678847522239224353534400862 y[1] (numeric) = 5.2053678847521503577153398618733 absolute error = 7.35647200135782129e-14 relative error = 1.4132472793914718973828162134990e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4383 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.43749222835038195962319052579635 y[1] (analytic) = 5.2246754141402806690425778556098 y[1] (numeric) = 5.2246754141402066862905934197448 absolute error = 7.39827519844358650e-14 relative error = 1.4160258029466451086565223917036e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4375 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.4366816155348778892653695094445 y[1] (analytic) = 5.2440905650915757346306988201141 y[1] (numeric) = 5.2440905650915013276072601997409 absolute error = 7.44070234386203732e-14 relative error = 1.4188737306317101935422430805313e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4367 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.43587100271937381890754849309265 y[1] (analytic) = 5.2636141389486133395229868656271 y[1] (numeric) = 5.2636141389485385018836442959958 absolute error = 7.48376393425696313e-14 relative error = 1.4217918974873443449242832934038e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4359 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.43424977708836567819190646038895 y[1] (analytic) = 5.3029897981953603162635858094492 y[1] (numeric) = 5.3029897981952845979293511302939 absolute error = 7.57183342346791553e-14 relative error = 1.4278423515060610713690899412880e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4334391642728616078340854440371 y[1] (analytic) = 5.3228435239679115619316487685448 y[1] (numeric) = 5.3228435239678353932985012648898 absolute error = 7.61686331475036550e-14 relative error = 1.4309763720186119257956967815682e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4334 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.43262855145735753747626442768525 y[1] (analytic) = 5.3428089535827375867787119144419 y[1] (numeric) = 5.3428089535826609610622685865412 absolute error = 7.66257164433279007e-14 relative error = 1.4341840988333458550393078924802e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4318179386418534671184434113334 y[1] (analytic) = 5.3628869265927547376254485449453 y[1] (numeric) = 5.3628869265926776479261164017251 absolute error = 7.70896993321432202e-14 relative error = 1.4374664315572513308136998186143e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4301967130108453264028013786297 y[1] (analytic) = 5.4033839006110626523969425835033 y[1] (numeric) = 5.4033839006109846135612787745949 absolute error = 7.80388356638089084e-14 relative error = 1.4442585812750336618834417181948e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.42938610019534125604498036227785 y[1] (analytic) = 5.4238046205956799666042852763317 y[1] (numeric) = 5.4238046205956014423736863795461 absolute error = 7.85242305988967856e-14 relative error = 1.4477702662945979820569120486925e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.428575487379837185687159345926 y[1] (analytic) = 5.4443413221105587689634398945161 y[1] (numeric) = 5.4443413221104797519552345684578 absolute error = 7.90170082053260583e-14 relative error = 1.4513602937498093222232043909287e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4286 Order of pole = 1.5e-29 TOP MAIN SOLVE Loop x[1] = -0.42776487456433311532933832957415 y[1] (analytic) = 5.4649948851263971837338988921707 y[1] (numeric) = 5.4649948851263176664388518715947 absolute error = 7.95172950470205760e-14 relative error = 1.4550296334848529235317202828830e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4278 Order of pole = 7.9e-29 TOP MAIN SOLVE Loop x[1] = -0.4269542617488290449715173132223 y[1] (analytic) = 5.4857661979753514309955054484522 y[1] (numeric) = 5.4857661979752714057754021336752 absolute error = 8.00252201033147770e-14 relative error = 1.4587792701200049432915841410330e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4253330361178209042558752805186 y[1] (analytic) = 5.5276656688829298710513975449289 y[1] (numeric) = 5.5276656688828488065382374632238 absolute error = 8.10645131600817051e-14 relative error = 1.4665234479795121268867591798712e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.42452242330231683389805426416675 y[1] (analytic) = 5.5487956462792515544773306127069 y[1] (numeric) = 5.5487956462791699583256712364154 absolute error = 8.15961516593762915e-14 relative error = 1.4705200346329323342391289781800e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4245 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=6.20 x[1] = -0.4237118104868127635402332478149 y[1] (analytic) = 5.5700470123815840115058341039768 y[1] (numeric) = 5.570047012381501875536355625771 absolute error = 8.21359694784782058e-14 relative error = 1.4746010095767458149768220374926e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.42290119767130869318241223146305 y[1] (analytic) = 5.5914206987880084143011038561468 y[1] (numeric) = 5.5914206987879257301926442288392 absolute error = 8.26841084596273076e-14 relative error = 1.4787674352164172602300941568171e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.42127997204030055246677019875935 y[1] (analytic) = 5.6345388037795227430188001868167 y[1] (numeric) = 5.6345388037794389370877731707988 absolute error = 8.38059310270160179e-14 relative error = 1.4873609703566309944406810494492e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4204693592247964821089491824075 y[1] (analytic) = 5.6562851307466615993983619403023 y[1] (numeric) = 5.6562851307465772194861380678438 absolute error = 8.43799122238724585e-14 relative error = 1.4917902876783340884788728106987e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4205 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.41965874640929241175112816605565 y[1] (analytic) = 5.6781575949931543525792928526668 y[1] (numeric) = 5.6781575949930693897693682152709 absolute error = 8.49628099246373959e-14 relative error = 1.4963094719236976016121042752030e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4188481335937883413933071497038 y[1] (analytic) = 5.7001571739365046480216982370132 y[1] (numeric) = 5.7001571739364190932414385969355 absolute error = 8.55547802596400777e-14 relative error = 1.5009196702650973590074270782522e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4188 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.4172269079627802006776651170001 y[1] (analytic) = 5.7445416331229093658655009627163 y[1] (numeric) = 5.7445416331228225992868640816239 absolute error = 8.67665786368810924e-14 relative error = 1.5104177874973832133329972927545e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.1394 Order of pole = 1.056e-26 TOP MAIN SOLVE Loop x[1] = -0.41641629514727613031984410064825 y[1] (analytic) = 5.76692851607364775872399673831 y[1] (numeric) = 5.7669285160735603719895760470083 absolute error = 8.73867344206913017e-14 relative error = 1.5153080912504120114019928356580e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4156056823317720599620230842964 y[1] (analytic) = 5.7894465193625309995334865841099 y[1] (numeric) = 5.7894465193624429829150292735117 absolute error = 8.80166184573105982e-14 relative error = 1.5202941794685064697688660887049e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.41479506951626798960420206794455 y[1] (analytic) = 5.812096668957545081504827845918 y[1] (numeric) = 5.8120966689574564251020635021717 absolute error = 8.86564027643437463e-14 relative error = 1.5253772917759318153895512261571e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4148 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.4139844567007639192463810515927 y[1] (analytic) = 5.8348800008811142775457966123229 y[1] (numeric) = 5.8348800008810249712830509468267 absolute error = 8.93062627456654962e-14 relative error = 1.5305586872768510248743101081606e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.412363231069755778530739018889 y[1] (analytic) = 5.880850406788269095901621086142 y[1] (numeric) = 5.8808504067881784589729004921115 absolute error = 9.06369287205940305e-14 relative error = 1.5412214637524493086355313268131e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.41155261825425170817291800253715 y[1] (analytic) = 5.9040396041633256648647438153467 y[1] (numeric) = 5.9040396041632343467616205162422 absolute error = 9.13181031232991045e-14 relative error = 1.5467054634746135337455431157292e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4116 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.4107420054387476378150969861853 y[1] (analytic) = 5.9273662308950853470682430673471 y[1] (numeric) = 5.9273662308949933369780687424756 absolute error = 9.20100901743248715e-14 relative error = 1.5522929846099711043362989770457e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.40993139262324356745727596983345 y[1] (analytic) = 5.9508313750882659920401076536647 y[1] (numeric) = 5.9508313750881732789567611587719 absolute error = 9.27130833464948928e-14 relative error = 1.5579853889763381430141785039042e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4099 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.40831016699223542674163393712975 y[1] (analytic) = 5.9981816223577598923309907281516 y[1] (numeric) = 5.9981816223576657394496897891762 absolute error = 9.41528813009389754e-14 relative error = 1.5696904033380943979539894530937e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4083 Order of pole = 8e-30 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=6.42 x[1] = -0.4074995541767313563838129207779 y[1] (analytic) = 6.0220689561112747160848887503097 y[1] (numeric) = 6.0220689561111798259922486091782 absolute error = 9.48900926401411315e-14 relative error = 1.5757058468061116849926935169085e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.40668894136122728602599190442605 y[1] (analytic) = 6.0460992689433383222073126477923 y[1] (numeric) = 6.046099268943242683083922909444 absolute error = 9.56391233897383483e-14 relative error = 1.5818318412501513421828551597058e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4058783285457232156681708880742 y[1] (analytic) = 6.0702737042146662401482640148886 y[1] (numeric) = 6.0702737042145698399611038885636 absolute error = 9.64001871601263250e-14 relative error = 1.5880698607246404838396170181172e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.4042571029147150749525288553705 y[1] (analytic) = 6.1190595729147944562014769859483 y[1] (numeric) = 6.1190595729146964969116862098631 absolute error = 9.79592897907760852e-14 relative error = 1.6008879897881675766013048384656e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.3845 Order of pole = 6.605e-27 TOP MAIN SOLVE Loop x[1] = -0.40344649009921100459470783901865 y[1] (analytic) = 6.1436733508775328448740502976841 y[1] (numeric) = 6.1436733508774340870963042676372 absolute error = 9.87577777460300469e-14 relative error = 1.6074711675861471286156704673558e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.4034 Order of pole = 5.4e-29 TOP MAIN SOLVE Loop x[1] = -0.4026358772837069342368868226668 y[1] (analytic) = 6.1684359406291000657798731014263 y[1] (numeric) = 6.1684359406290004965827634012759 absolute error = 9.95691971097001504e-14 relative error = 1.6141725077158763537740297039511e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.40182526446820286387906580631495 y[1] (analytic) = 6.1933485441878468752494656423417 y[1] (numeric) = 6.1933485441877464814655062130322 absolute error = 1.003937839594293095e-13 relative error = 1.6209936069825093257546487007628e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 2.607 Order of pole = 1.378e-25 TOP MAIN SOLVE Loop x[1] = -0.40020403883719472316342377361125 y[1] (analytic) = 6.2436286617536900703493031032014 y[1] (numeric) = 6.243628661753587986920775644152 absolute error = 1.020834285274590494e-13 relative error = 1.6350016001558008846736170890370e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3993934260216906528056027572594 y[1] (analytic) = 6.2689986411968292150977412754232 y[1] (numeric) = 6.2689986411967262661149152623668 absolute error = 1.029489828260130564e-13 relative error = 1.6421918191125787984046460723415e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3994 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.39858281320618658244778174090755 y[1] (analytic) = 6.2945235656214660350361420112741 y[1] (numeric) = 6.2945235656213622063381479017362 absolute error = 1.038286979941095379e-13 relative error = 1.6495084482833039191087301940631e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3977722003906825120899607245557 y[1] (analytic) = 6.3202046993520594003791719222027 y[1] (numeric) = 6.3202046993519546775439684915016 absolute error = 1.047228352034307011e-13 relative error = 1.6569532188437943113078772995053e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3978 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.39696158757517844173213970820385 y[1] (analytic) = 6.3460433196352626800263776700233 y[1] (numeric) = 6.3460433196351570483653889890463 absolute error = 1.056316609886809770e-13 relative error = 1.6645278903446270741413165751894e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.397 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.39534036194417030101649767550015 y[1] (analytic) = 6.3981981944122396857582719092519 y[1] (numeric) = 6.3981981944121321912862996771667 absolute error = 1.074944719722320852e-13 relative error = 1.6800741193999054310895542705121e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3953 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.3945297491286662306586766591483 y[1] (analytic) = 6.4245170694510484192892972191578 y[1] (numeric) = 6.4245170694509399702711345717764 absolute error = 1.084490181626473814e-13 relative error = 1.6880493427020181448430544355075e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.39371913631316216030085564279645 y[1] (analytic) = 6.4509986724617210390708694940522 y[1] (numeric) = 6.4509986724616116196956981538464 absolute error = 1.094193751713402058e-13 relative error = 1.6961617995432858138220615370798e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 1.109 Order of pole = 1.927e-26 TOP MAIN SOLVE Loop x[1] = -0.3929085234976580899430346264446 y[1] (analytic) = 6.4776443477302682457650827409559 y[1] (numeric) = 6.4776443477301578399268524934665 absolute error = 1.104058382302474894e-13 relative error = 1.7044133994317409777265255658442e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=6.64 x[1] = -0.3912872978666499492273925937409 y[1] (analytic) = 6.5314333619083850110283837478212 y[1] (numeric) = 6.5314333619082725827341263543038 absolute error = 1.124282942573935174e-13 relative error = 1.7213418254112553330145166296996e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3913 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.39047668505114587886957157738905 y[1] (analytic) = 6.5585794596350894358647098125809 y[1] (numeric) = 6.5585794596349759709557638396105 absolute error = 1.134649089459729704e-13 relative error = 1.7300226313380063210164066606080e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3896660722356418085117505610372 y[1] (analytic) = 6.5858951476076933309348949201432 y[1] (numeric) = 6.58589514760757881206147746874 absolute error = 1.145188734174514032e-13 relative error = 1.7388505412062328484283777507461e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3897 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.38885545942013773815392954468535 y[1] (analytic) = 6.6133818414186709908475432775294 y[1] (numeric) = 6.6133818414185554003325068411253 absolute error = 1.155905150364364041e-13 relative error = 1.7478276290128815631364758809726e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.38723423378912959743828751198165 y[1] (analytic) = 6.6688739831170207199512808705794 y[1] (numeric) = 6.668873983116902931777558210968 absolute error = 1.177881737226596114e-13 relative error = 1.7662378089742462479499308318255e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3872 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.3864236209736255270804664956298 y[1] (analytic) = 6.6968823369417412564024624991537 y[1] (numeric) = 6.6968823369416223415219142254545 absolute error = 1.189148805482736992e-13 relative error = 1.7756752256540084598001018189953e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.38561300815812145672264547927795 y[1] (analytic) = 6.7250675088599773822573354475771 y[1] (numeric) = 6.7250675088598573216129665433785 absolute error = 1.200606443689041986e-13 relative error = 1.7852704706789878121776860121974e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3848023953426173863648244629261 y[1] (analytic) = 6.7534309903580309179407934516733 y[1] (numeric) = 6.7534309903579096921122226330863 absolute error = 1.212258285708185870e-13 relative error = 1.7950257986480415587370406821198e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.38399178252711331600700344657425 y[1] (analytic) = 6.7819742886815604420936297826639 y[1] (numeric) = 6.7819742886814380312893740688066 absolute error = 1.224108042557138573e-13 relative error = 1.8049435023663433326441963243893e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.38237055689610517529136141387055 y[1] (analytic) = 6.8396064447888987814535300713462 y[1] (numeric) = 6.8396064447887739397993835965137 absolute error = 1.248416541464748325e-13 relative error = 1.8252754036979975844068535603969e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3815599440806011049335403975187 y[1] (analytic) = 6.8686983976779204530793657374036 y[1] (numeric) = 6.8686983976777943647685844169844 absolute error = 1.260883107813204192e-13 relative error = 1.8356943846005336767848126477158e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.38074933126509703457571938116685 y[1] (analytic) = 6.8979763580184069367894785239661 y[1] (numeric) = 6.8979763580182795804653366405162 absolute error = 1.273563241418834499e-13 relative error = 1.8462853093696208538114404751832e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.3561 Order of pole = 7.87e-28 TOP MAIN SOLVE Loop x[1] = -0.379938718449592964217898364815 y[1] (analytic) = 6.9274419149167059977206006711958 y[1] (numeric) = 6.9274419149165773516138906256205 absolute error = 1.286461067100455753e-13 relative error = 1.8570506731068330744709998209982e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3799 Order of pole = 5e-30 TOP MAIN SOLVE Loop x[1] = -0.3783174928185848235022563321113 y[1] (analytic) = 6.9869422600633168841723675229199 y[1] (numeric) = 6.98694226006318559149840635564 absolute error = 1.312926739611672799e-13 relative error = 1.8791149128514120980751340355488e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.2357 Order of pole = 3.057e-27 TOP MAIN SOLVE Loop x[1] = -0.37750688000308075314443531575945 y[1] (analytic) = 7.0169803124354121948590719769028 y[1] (numeric) = 7.0169803124352795445302632460006 absolute error = 1.326503288087309022e-13 relative error = 1.8904189965254642053382981287415e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.1348 Order of pole = 1.822e-27 TOP MAIN SOLVE Loop x[1] = -0.3766962671875766827866142994076 y[1] (analytic) = 7.0472124900605642920021452445014 y[1] (numeric) = 7.0472124900604302605085150260745 absolute error = 1.340314936302184269e-13 relative error = 1.9019079362124718595493961645414e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.37588565437207261242879328305575 y[1] (analytic) = 7.0776404692993552283815746132211 y[1] (numeric) = 7.0776404692992197917541545993902 absolute error = 1.354366274200138309e-13 relative error = 1.9135844496127854357755361220979e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3759 Order of pole = 2e-30 memory used=110.6MB, alloc=4.4MB, time=6.86 TOP MAIN SOLVE Loop x[1] = -0.37426442874106447171315125035205 y[1] (analytic) = 7.1390906289676997693279389042924 y[1] (numeric) = 7.1390906289675614486399255681832 absolute error = 1.383206880133361092e-13 relative error = 1.9375113050404998552487957602101e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3743 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.3734538159255604013553302340002 y[1] (analytic) = 7.1701162537372709134184594611186 y[1] (numeric) = 7.1701162537371311128347988704298 absolute error = 1.398005836605906888e-13 relative error = 1.9497673219415738454413414565132e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.37264320311005633099750921764835 y[1] (analytic) = 7.2013445692831751029810225638512 y[1] (numeric) = 7.2013445692830337965945616981977 absolute error = 1.413063864608656535e-13 relative error = 1.9622222642087983192380164902192e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3726 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.3718325902945522606396882012965 y[1] (analytic) = 7.2327773450329514638737274906379 y[1] (numeric) = 7.2327773450328086252659718526627 absolute error = 1.428386077556379752e-13 relative error = 1.9748790947329683577940870434086e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3718 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.3702113646635441199240461685928 y[1] (analytic) = 7.2962634518608440518974847271536 y[1] (numeric) = 7.2962634518606980674898248467888 absolute error = 1.459844076598803648e-13 relative error = 2.0008105329947810616272121522877e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.36940075184804004956622515224095 y[1] (analytic) = 7.3283204195680047882719431590142 y[1] (numeric) = 7.328320419567857189205701419383 absolute error = 1.475990662417396312e-13 relative error = 2.0140913304994435451771295258432e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3694 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.3685901390325359792084041358891 y[1] (analytic) = 7.3605891212579268239131023150209 y[1] (numeric) = 7.3605891212577775816092729761229 absolute error = 1.492423038293388980e-13 relative error = 2.0275863979191022256457939731373e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.36777952621703190885058311953725 y[1] (analytic) = 7.3930714256946550983031940584992 y[1] (numeric) = 7.393071425694504183612440653978 absolute error = 1.509146907534045212e-13 relative error = 2.0412989685031283712193069647117e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3669689134015278384927621031854 y[1] (analytic) = 7.4257692223049568106989999400703 y[1] (numeric) = 7.4257692223048041938889808960831 absolute error = 1.526168100190439872e-13 relative error = 2.0552323328420347753342862455466e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3653476877705196977771200704817 y[1] (analytic) = 7.4918189547198293368073881456788 y[1] (numeric) = 7.4918189547196732241645493501428 absolute error = 1.561126428387955360e-13 relative error = 2.0837748987573293801423633836039e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3653 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.36453707495501562741929905412985 y[1] (analytic) = 7.5251747751858775771704506200954 y[1] (numeric) = 7.5251747751857196695818391151252 absolute error = 1.579075886115049702e-13 relative error = 2.0983909786680606616115238537319e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.363726462139511557061478037778 y[1] (analytic) = 7.5587538577196530134219112268028 y[1] (numeric) = 7.5587538577194932786900846480353 absolute error = 1.597347318265787675e-13 relative error = 2.1132416114257226111773496709534e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.36291584932400748670365702142615 y[1] (analytic) = 7.5925581992696193717491949635809 y[1] (numeric) = 7.5925581992694577770255061624913 absolute error = 1.615947236888010896e-13 relative error = 2.1283303920455427327336793660961e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3629 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.36129462369299934598801498872245 y[1] (analytic) = 7.6608507593982821327098517681056 y[1] (numeric) = 7.6608507593981167167779777515398 absolute error = 1.654159318740165658e-13 relative error = 2.1592371013243584089324636111507e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3613 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.3604840108774952756301939723706 y[1] (analytic) = 7.6953430849696750268881342640196 y[1] (numeric) = 7.6953430849695076483627249905592 absolute error = 1.673785254092734604e-13 relative error = 2.1750625483637296144406739296814e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3605 Order of pole = 5.2e-29 TOP MAIN SOLVE Loop x[1] = -0.35967339806199120527237295601875 y[1] (analytic) = 7.7300688841601373912690578847286 y[1] (numeric) = 7.7300688841599680145462833099138 absolute error = 1.693767227745748148e-13 relative error = 2.1911411827344587796424487481272e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=7.08 x[1] = -0.3588627852464871349145519396669 y[1] (analytic) = 7.7650302688665319921412364053827 y[1] (numeric) = 7.7650302688663605808889833075527 absolute error = 1.714112522530978300e-13 relative error = 2.2074769359285301903866343379843e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3589 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.3572415596154789941989099069632 y[1] (analytic) = 7.835668362406742013946012245256 y[1] (numeric) = 7.8356683624065664216419627163998 absolute error = 1.755923040495288562e-13 relative error = 2.2409358835548689657010022158290e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.35643094679997492384108889061135 y[1] (analytic) = 7.8713494160102801449366685959049 y[1] (numeric) = 7.8713494160101024045691063826051 absolute error = 1.777403675622132998e-13 relative error = 2.2580673041993333256997516977494e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3556203339844708534832678742595 y[1] (analytic) = 7.9072747453373047141551697296072 y[1] (numeric) = 7.9072747453371247863087240784999 absolute error = 1.799278464456511073e-13 relative error = 2.2754722991223929195312808602679e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3556 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.35480972116896678312544685790765 y[1] (analytic) = 7.9434465852651937938189867480964 y[1] (numeric) = 7.9434465852650116382627706767792 absolute error = 1.821555562160713172e-13 relative error = 2.2931551721385435866293986047438e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3548 Order of pole = 6.9e-29 TOP MAIN SOLVE Loop x[1] = -0.3539991083534627127676258415558 y[1] (analytic) = 7.9798671962885096426095493690198 y[1] (numeric) = 7.9798671962883252182783684299723 absolute error = 1.844243311809390475e-13 relative error = 2.3111203061965248596139128412054e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.354 Order of pole = 8.3e-29 TOP MAIN SOLVE Loop x[1] = -0.3523778827224545720519838088521 y[1] (analytic) = 8.0534639038103203110716484995408 y[1] (numeric) = 8.0534639038101312225608908536342 absolute error = 1.890885107576459066e-13 relative error = 2.3479152947861703736699531260553e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3524 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.35156726990695050169416279250025 y[1] (analytic) = 8.0906446525909864189919866811314 y[1] (numeric) = 8.0906446525907949333096828897565 absolute error = 1.914856823037913749e-13 relative error = 2.3667543258431093219067492451672e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3516 Order of pole = 5.2e-29 TOP MAIN SOLVE Loop x[1] = -0.3507566570914464313363417761484 y[1] (analytic) = 8.1280834777666577352300773739886 y[1] (numeric) = 8.1280834777664638077761416829417 absolute error = 1.939274539356910469e-13 relative error = 2.3858939744671055645256829337106e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.34994604427594236097852075979655 y[1] (analytic) = 8.1657827733308677834656463479339 y[1] (numeric) = 8.1657827733306713687042972402646 absolute error = 1.964147613491076693e-13 relative error = 2.4053390446607362539265195399077e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3499 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.34832481864493422026287872709285 y[1] (analytic) = 8.2419724911067915886248046003327 y[1] (numeric) = 8.2419724911065900587886244506434 absolute error = 2.015298361801496893e-13 relative error = 2.4451651154818014622354002981859e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.347514205829430149905057710741 y[1] (analytic) = 8.2804678419865518939984169693301 y[1] (numeric) = 8.2804678419863477344118455313382 absolute error = 2.041595865714379919e-13 relative error = 2.4655561795220792611412294887933e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.34670359301392607954723669438915 y[1] (analytic) = 8.3192335213880499732109069691159 y[1] (numeric) = 8.3192335213878431343710408743349 absolute error = 2.068388398660947810e-13 relative error = 2.4862727958570884319058712551279e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3458929801984220091894156780373 y[1] (analytic) = 8.3582720663773573366234520810338 y[1] (numeric) = 8.3582720663771477679765854969867 absolute error = 2.095686468665840471e-13 relative error = 2.5073202355976347113839917183080e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3442717545674138684737736453336 y[1] (analytic) = 8.4371780509722791814312637087556 y[1] (numeric) = 8.4371780509720639971812093445347 absolute error = 2.151842500543642209e-13 relative error = 2.5504291690225374472504286166978e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.34346114175190979811595262898175 y[1] (analytic) = 8.4770507155715007211741447384298 y[1] (numeric) = 8.4770507155712826488994775488824 absolute error = 2.180722746671895474e-13 relative error = 2.5725017106080588261722784083790e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3435 Order of pole = 4.7e-29 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=7.31 x[1] = -0.3426505289364057277581316126299 y[1] (analytic) = 8.5172066966107437996393617850161 y[1] (numeric) = 8.517206696610522784328173789166 absolute error = 2.210153111879958501e-13 relative error = 2.5949271757834006811186360570835e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3427 Order of pole = 3.3e-29 TOP MAIN SOLVE Loop x[1] = -0.34183991612090165740031059627805 y[1] (analytic) = 8.557648684612805697233078600611 y[1] (numeric) = 8.5576486846125816826917843462966 absolute error = 2.240145412942543144e-13 relative error = 2.6177113544874382001749370781590e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3418 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.34021869048989351668466856357435 y[1] (analytic) = 8.6394016041261664224464163127375 y[1] (numeric) = 8.6394016041259362359953445210396 absolute error = 2.301864510717916979e-13 relative error = 2.6643795672359410034855592750436e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3394080776743894463268475472225 y[1] (analytic) = 8.6807180785949568590687022340826 y[1] (numeric) = 8.6807180785947234974302466302403 absolute error = 2.333616384556038423e-13 relative error = 2.6882757433515831473849831215030e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.33859746485888537596902653087065 y[1] (analytic) = 8.7223316468811292792244396686212 y[1] (numeric) = 8.7223316468808926811880329887768 absolute error = 2.365980364066798444e-13 relative error = 2.7125549220692717600273183258648e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3377868520433813056112055145188 y[1] (analytic) = 8.7642451642384151620773442373833 y[1] (numeric) = 8.7642451642381752651017125492863 absolute error = 2.398969756316880970e-13 relative error = 2.7372234703173593379276189449344e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.154 Order of pole = 1.559e-27 TOP MAIN SOLVE Loop x[1] = -0.33697623922787723525338449816695 y[1] (analytic) = 8.8064615203040647034822898333026 y[1] (numeric) = 8.8064615203038214436632311190614 absolute error = 2.432598190587142412e-13 relative error = 2.7622878780297571635144280177000e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.33535501359686909453774246546325 y[1] (analytic) = 8.8918144820238640820621469288425 y[1] (numeric) = 8.8918144820236138992256217475557 absolute error = 2.501828365251812868e-13 relative error = 2.8136308627554409161140902551519e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3345444007813650241799214491114 y[1] (analytic) = 8.9349570433950253701914235116526 y[1] (numeric) = 8.9349570433947716242860265210322 absolute error = 2.537459053969906204e-13 relative error = 2.8399230591104723660684001050010e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3345 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.33373378796586095382210043275955 y[1] (analytic) = 8.9784143559475451892012436867154 y[1] (numeric) = 8.9784143559472878105312587200845 absolute error = 2.573786699849666309e-13 relative error = 2.8666383593053044947668281758530e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3337 Order of pole = 6.2e-29 TOP MAIN SOLVE Loop x[1] = -0.3329231751503568834642794164077 y[1] (analytic) = 9.0221894888784390504346910790109 y[1] (numeric) = 9.0221894888781779677669477754112 absolute error = 2.610826677433035997e-13 relative error = 2.8937839098274043233094227417626e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.331301949519348742748637383704 y[1] (analytic) = 9.1107056807235691474043817681452 y[1] (numeric) = 9.1107056807233004367018886178505 absolute error = 2.687107024931502947e-13 relative error = 2.9493950513810186224030819089703e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.33049133670384467239081636735215 y[1] (analytic) = 9.155453067755122013333959331419 y[1] (numeric) = 9.1554530677548493753265600739398 absolute error = 2.726380073992574792e-13 relative error = 2.9778756483332304831498779111381e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3305 Order of pole = 3.4e-29 TOP MAIN SOLVE Loop x[1] = -0.3296807238883406020329953510003 y[1] (analytic) = 9.2005309325307300694907439153703 y[1] (numeric) = 9.2005309325304534264072999912333 absolute error = 2.766430834439241370e-13 relative error = 3.0068165138794846413155697599701e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.32887011107283653167517433464845 y[1] (analytic) = 9.2459425373642154733991800157272 y[1] (numeric) = 9.2459425373639347457316734657953 absolute error = 2.807276675065499319e-13 relative error = 3.0362255267333544831476099621071e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.32724888544182839095953230194475 y[1] (analytic) = 9.3377802188331966021203205141308 y[1] (numeric) = 9.3377802188329074595958960974306 absolute error = 2.891425244244167002e-13 relative error = 3.0964802945484889286831648792776e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=7.53 x[1] = -0.3264382726263243206017112855929 y[1] (analytic) = 9.3842130242813872025115175245606 y[1] (numeric) = 9.3842130242810937260196665789252 absolute error = 2.934764918509456354e-13 relative error = 3.1273426028542134417863962077765e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.32562765981082025024389026924105 y[1] (analytic) = 9.430993028645413226296917605288 y[1] (numeric) = 9.4309930286451153289380012338456 absolute error = 2.978973589163714424e-13 relative error = 3.1587061724205182498343042583001e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.2095 Order of pole = 6.84e-28 TOP MAIN SOLVE Loop x[1] = -0.3248170469953161798860692528892 y[1] (analytic) = 9.4781237021222738388708606381205 y[1] (numeric) = 9.4781237021219714317801106123652 absolute error = 3.024070907500257553e-13 relative error = 3.1905796996752945630522499912780e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3231958213643080391704272201855 y[1] (analytic) = 9.573451155175648015580008844958 y[1] (numeric) = 9.5734511551753363143218900859772 absolute error = 3.117012581187589808e-13 relative error = 3.2558922907361934579369500531598e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3232 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.32238520854880396881260620383365 y[1] (analytic) = 9.62165509509552461620723666356 y[1] (numeric) = 9.6216550950952081263302778010702 absolute error = 3.164898769588624898e-13 relative error = 3.2893496371553354998264280850260e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3224 Order of pole = 3.7e-29 TOP MAIN SOLVE Loop x[1] = -0.3215745957332998984547851874818 y[1] (analytic) = 9.6702240261595990755059447368857 y[1] (numeric) = 9.670224026159277699775890674438 absolute error = 3.213757300540624477e-13 relative error = 3.3233535147136870085859853112787e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3216 Order of pole = 4.0e-29 TOP MAIN SOLVE Loop x[1] = -0.32076398291779582809696417112995 y[1] (analytic) = 9.7191616425486182275165768213954 y[1] (numeric) = 9.7191616425482918664723635074638 absolute error = 3.263610442133139316e-13 relative error = 3.3579135342761264664098388774913e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.2069 Order of pole = 2.840e-27 TOP MAIN SOLVE Loop x[1] = -0.3199533701022917577391431547781 y[1] (analytic) = 9.7684716852992016522484925918849 y[1] (numeric) = 9.7684716852988702041454390798528 absolute error = 3.314481030535120321e-13 relative error = 3.3930395023032715260172715722128e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.32 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.3183321444712836170235011220744 y[1] (analytic) = 9.8682242526135454386116148027506 y[1] (numeric) = 9.8682242526132035017286922997474 absolute error = 3.419368829225030032e-13 relative error = 3.4650295146256215486180899446607e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.31752153165577954666568010572255 y[1] (analytic) = 9.9186745000287953979048540152014 y[1] (numeric) = 9.9186745000284480544349977547107 absolute error = 3.473434698562604907e-13 relative error = 3.5019141908049518166411365295265e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3167109188402754763078590893707 y[1] (analytic) = 9.9695126210034028762615961243594 y[1] (numeric) = 9.9695126210030500147248662802952 absolute error = 3.528615367298440642e-13 relative error = 3.5394060887836015568689583484212e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3167 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.31590030602477140595003807301885 y[1] (analytic) = 10.020742601837220157742222774236 y[1] (numeric) = 10.020742601836861664066041133134 absolute error = 3.58493676181641102e-13 relative error = 3.5775160626909452374295699254352e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.31427908039376326523439604031515 y[1] (analytic) = 10.124394345789853353279511813806 y[1] (numeric) = 10.124394345789483242398375917873 absolute error = 3.70110881135895933e-13 relative error = 3.6556347816479858686648304775714e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3143 Order of pole = 1.7e-29 TOP MAIN SOLVE Loop x[1] = -0.3134684675782591948765750239633 y[1] (analytic) = 10.176824341417499097872314310612 y[1] (numeric) = 10.176824341417122996396819284073 absolute error = 3.76101475495026539e-13 relative error = 3.6956663776181529476698449643699e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.31265785476275512451875400761145 y[1] (analytic) = 10.229662663556737010812451223963 y[1] (numeric) = 10.229662663556354793608285246258 absolute error = 3.82217204165977705e-13 relative error = 3.7363617622273102732501732204225e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3118472419472510541609329912596 y[1] (analytic) = 10.282913563321318712198435357769 y[1] (numeric) = 10.282913563320930251183003392451 absolute error = 3.88461015431965318e-13 relative error = 3.7777329648825207681748526823647e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=7.75 x[1] = -0.3102260163162429134452909585559 y[1] (analytic) = 10.390670378390334539281900342508 y[1] (numeric) = 10.390670378389933194213853795173 absolute error = 4.01345068046547335e-13 relative error = 3.8625522072303625878467308610737e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3102 Order of pole = 3.3e-29 TOP MAIN SOLVE Loop x[1] = -0.30941540350073884308746994220405 y[1] (analytic) = 10.445185076759317029384682055748 y[1] (numeric) = 10.445185076758909037782764491657 absolute error = 4.07991601917564091e-13 relative error = 3.9060255890089598784868063909165e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3094 Order of pole = 3.6e-29 TOP MAIN SOLVE Loop x[1] = -0.3086047906852347727296489258522 y[1] (analytic) = 10.500129920672538485159698287418 y[1] (numeric) = 10.50012992067212370635157431294 absolute error = 4.14778808123974478e-13 relative error = 3.9502254853757818204240026959468e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.2981 Order of pole = 3.038e-27 TOP MAIN SOLVE Loop x[1] = -0.30779417786973070237182790950035 y[1] (analytic) = 10.555509447450871846361171776603 y[1] (numeric) = 10.555509447450450136316175284808 absolute error = 4.21710044996491795e-13 relative error = 3.9951652461296756934217471535894e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3078 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.3069835650542266320140068931485 y[1] (analytic) = 10.611328254399836250639235432036 y[1] (numeric) = 10.611328254399407461879049847564 absolute error = 4.28788760185584472e-13 relative error = 4.0408585042856752140468414880792e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3053623394232184912983648604448 y[1] (analytic) = 10.72430240369755149663505407615 y[1] (numeric) = 10.72430240369710809375653521561 absolute error = 4.43402878518860540e-13 relative error = 4.1345615017903915065958286546970e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3054 Order of pole = 2.1e-29 TOP MAIN SOLVE Loop x[1] = -0.30455172660771442094054384409295 y[1] (analytic) = 10.781467249256965801401747813122 y[1] (numeric) = 10.781467249256514855754180811282 absolute error = 4.50945647567001840e-13 relative error = 4.1825999851558236498865512872265e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.3037411137922103505827228277411 y[1] (analytic) = 10.839090383406905911268322182872 y[1] (numeric) = 10.839090383406447260635910156324 absolute error = 4.58650632412026548e-13 relative error = 4.2314494684365298735289618175010e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.30293050097670628022490181138925 y[1] (analytic) = 10.897176718049004276104628539288 y[1] (numeric) = 10.897176718048537754336297743033 absolute error = 4.66521768330796255e-13 relative error = 4.2811251060845494185426107719105e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3029 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.30130927534569813950925977868555 y[1] (analytic) = 11.014758967400171966932980735591 y[1] (numeric) = 11.014758967399689188163504357603 absolute error = 4.82778769476377988e-13 relative error = 4.3830171037353974469859417976220e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3013 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.3004986625301940691514387623337 y[1] (analytic) = 11.074265040116207930084167916488 y[1] (numeric) = 11.074265040115716757034316002821 absolute error = 4.91173049851913667e-13 relative error = 4.4352654381365567970965141923570e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.3005 Order of pole = 3.6e-29 TOP MAIN SOLVE Loop x[1] = -0.29968804971468999879361774598185 y[1] (analytic) = 11.134254631532316991914833703127 y[1] (numeric) = 11.134254631531817241596579715431 absolute error = 4.99750318253987696e-13 relative error = 4.4884038922434013034008330310025e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.29887743689918592843579672963 y[1] (analytic) = 11.194732994336662650440431315351 y[1] (numeric) = 11.194732994336154135365903349803 absolute error = 5.08515074527965548e-13 relative error = 4.5424493356404282068196254701085e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2989 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.2972562112681777877201546969263 y[1] (analytic) = 11.317177403645494007063366711932 y[1] (numeric) = 11.317177403644967381393134068319 absolute error = 5.26625670232643613e-13 relative error = 4.6533305209389642308719090706243e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2973 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.29644559845267371736233368057445 y[1] (analytic) = 11.379154317847038948191893360671 y[1] (numeric) = 11.379154317846502967051079218392 absolute error = 5.35981140814142279e-13 relative error = 4.7102018818174450329193013054669e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2964 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.2956349856371696470045126642226 y[1] (analytic) = 11.441641741242478020575238186702 y[1] (numeric) = 11.44164174124193247720584354921 absolute error = 5.45543369394637492e-13 relative error = 4.7680514888713470610823645118129e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2956 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.29482437282166557664669164787075 y[1] (analytic) = 11.504645296076323061783905540047 y[1] (numeric) = 11.504645296075767744273140472331 absolute error = 5.55317510765067716e-13 relative error = 4.8268981483024044685334292063518e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE memory used=129.7MB, alloc=4.4MB, time=7.97 TOP MAIN SOLVE Loop x[1] = -0.29320314719065743593104961516705 y[1] (analytic) = 11.63222367838122138351978256215 y[1] (numeric) = 11.632223678380645860648393196699 absolute error = 5.75522871389365451e-13 relative error = 4.9476599427759380239996747323264e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2932 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.2923925343751533655732285988152 y[1] (analytic) = 11.696810143577873362919179597549 y[1] (numeric) = 11.696810143577287397785294704192 absolute error = 5.85965133884893357e-13 relative error = 5.0096148154257010359067948283834e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2924 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.29158192155964929521540758246335 y[1] (analytic) = 11.761936018318232189965162158299 y[1] (numeric) = 11.761936018317635548560286684236 absolute error = 5.96641404875474063e-13 relative error = 5.0726462373732942184214283131956e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2907713087441452248575865661115 y[1] (analytic) = 11.827607326046825120356410872642 y[1] (numeric) = 11.827607326046217562755922730172 absolute error = 6.07557600488142470e-13 relative error = 5.1367752051606888866353055649426e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.28996069592864115449976554975965 y[1] (analytic) = 11.893830174521276375531059094452 y[1] (numeric) = 11.893830174520657655727553301792 absolute error = 6.18719803505792660e-13 relative error = 5.2020231870403006989858423843420e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.28833947029763301378412351705595 y[1] (analytic) = 12.027955354852807671483379371916 y[1] (numeric) = 12.027955354852165864055964299369 absolute error = 6.41807427415072547e-13 relative error = 5.3359644967099786627993149405843e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2883 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.2875288574821289434263025007041 y[1] (analytic) = 12.09587033671281648850086107152 y[1] (numeric) = 12.095870336712162742606214368753 absolute error = 6.53745894646702767e-13 relative error = 5.4047032288572405479708273956791e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.28671824466662487306848148435225 y[1] (analytic) = 12.164362162307383424043929505185 y[1] (numeric) = 12.16436216230671746757070230627 absolute error = 6.65956473227198915e-13 relative error = 5.4746518094531781568114403683460e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2859076318511208027106604680004 y[1] (analytic) = 12.233437382831652751140595466131 y[1] (numeric) = 12.233437382830974304980076356486 absolute error = 6.78446160519109645e-13 relative error = 5.5458342515508987453717732112561e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2842864062201126619950184352967 y[1] (analytic) = 12.373364681382173461950271923502 y[1] (numeric) = 12.373364681381469170090733174942 absolute error = 7.04291859538748560e-13 relative error = 5.6919995302367120811211233266104e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2843 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.28347579340460859163719741894485 y[1] (analytic) = 12.444230334556786437315986981175 y[1] (numeric) = 12.444230334556068774421911253368 absolute error = 7.17662894075727807e-13 relative error = 5.7670331935501584419869488805249e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2835 Order of pole = 1.5e-29 TOP MAIN SOLVE Loop x[1] = -0.282665180589104521279376402593 y[1] (analytic) = 12.51570653625048299505570042278 y[1] (numeric) = 12.515706536249751651959416292739 absolute error = 7.31343096284130041e-13 relative error = 5.8434024013416138127638406437798e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2827 Order of pole = 3.3e-29 TOP MAIN SOLVE Loop x[1] = -0.28185456777360045092155538624115 y[1] (analytic) = 12.587800320295945355203856441316 y[1] (numeric) = 12.587800320295200014672204460215 absolute error = 7.45340531651981101e-13 relative error = 5.9211340558860865357785673043962e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.1957 Order of pole = 3.986e-27 TOP MAIN SOLVE Loop x[1] = -0.28023334214259231020591335353745 y[1] (analytic) = 12.733869280459587259283000339378 y[1] (numeric) = 12.733869280458812938739323323877 absolute error = 7.74320543677015501e-13 relative error = 6.0807954489153428772572146168808e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2802 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.2794227293270882398480923371856 y[1] (analytic) = 12.807859039262593327695360660722 y[1] (numeric) = 12.807859039261804007241369075377 absolute error = 7.89320453991585345e-13 relative error = 6.1627821759430459188205202048144e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.27861211651158416949027132083375 y[1] (analytic) = 12.88249554942681828301760606084 y[1] (numeric) = 12.882495549426013610736985012365 absolute error = 8.04672280621048475e-13 relative error = 6.2462453608753686812365991205698e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2786 Order of pole = 9e-30 memory used=133.5MB, alloc=4.4MB, time=8.19 TOP MAIN SOLVE Loop x[1] = -0.2778015036960800991324503044819 y[1] (analytic) = 12.957786370725502482372262832748 y[1] (numeric) = 12.95778637072468209703298552101 absolute error = 8.20385339277311738e-13 relative error = 6.3312151922086257902722051764432e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2778 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.27699089088057602877462928813005 y[1] (analytic) = 13.033739173711754933936650450272 y[1] (numeric) = 13.033739173710918464716171470759 absolute error = 8.36469220478979513e-13 relative error = 6.4177225685633340698115605538763e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.277 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.27536966524956788805898725542635 y[1] (analytic) = 13.187661972621550000501051420772 y[1] (numeric) = 13.187661972620680211260444942938 absolute error = 8.69789240606477834e-13 relative error = 6.5954772150834413678479606232151e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2754 Order of pole = 3.7e-29 TOP MAIN SOLVE Loop x[1] = -0.2745590524340638177011662390745 y[1] (analytic) = 13.265647881336930462553599730441 y[1] (numeric) = 13.265647881336043416536899688279 absolute error = 8.87046016700042162e-13 relative error = 6.6867900055450923777186683430224e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2746 Order of pole = 7e-30 TOP MAIN SOLVE Loop x[1] = -0.27374843961855974734334522272265 y[1] (analytic) = 13.344327601436482069447430321343 y[1] (numeric) = 13.344327601435577354538226492973 absolute error = 9.04714909203828370e-13 relative error = 6.7797714221767020255925868669939e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2729378268030556769855242063708 y[1] (analytic) = 13.423709387499699755724251656702 y[1] (numeric) = 13.42370938749877694870087042958 absolute error = 9.22807023381227122e-13 relative error = 6.8744562083603715989732381907125e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2713166011720475362698821736671 y[1] (analytic) = 13.58461279367854517591718035619 y[1] (numeric) = 13.58461279367758486890082181842 absolute error = 9.60307016358537770e-13 relative error = 7.0690790451193898461053478982618e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2713 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.27050598835654346591206115731525 y[1] (analytic) = 13.666151547474481947525088193525 y[1] (numeric) = 13.666151547473502208707304529591 absolute error = 9.79738817783663934e-13 relative error = 7.1690908327788931711367926332168e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2705 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.2696953755410393955542401409634 y[1] (analytic) = 13.748426639156100456515089957811 y[1] (numeric) = 13.748426639155100814805639716185 absolute error = 9.99641709450241626e-13 relative error = 7.2709535111691963720421530785358e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.26888476272553532519641912461155 y[1] (analytic) = 13.831446961510674501669383868929 y[1] (numeric) = 13.831446961509654473090679308329 absolute error = 1.020028578704560600e-12 relative error = 7.3747062150694376348598505012920e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.26726353709452718448077709190785 y[1] (analytic) = 13.999759545115536631443934758366 y[1] (numeric) = 13.999759545114474323666773377421 absolute error = 1.062307777161380945e-12 relative error = 7.5880430212961488096807012457959e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.266452924279023114122956075556 y[1] (analytic) = 14.085070275082955299211871670734 y[1] (numeric) = 14.085070275081871071312875990938 absolute error = 1.084227898995679796e-12 relative error = 7.6977102550473014052850551446907e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2665 Order of pole = 4.1e-29 TOP MAIN SOLVE Loop x[1] = -0.26564231146351904376513505920415 y[1] (analytic) = 14.171163178224222946404874079607 y[1] (numeric) = 14.171163178223116258793278418689 absolute error = 1.106687611595660918e-12 relative error = 7.8094338317706045355147549991719e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2656 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.2648316986480149734073140428523 y[1] (analytic) = 14.258047845671687960638157637458 y[1] (numeric) = 14.258047845670558258734128002439 absolute error = 1.129701904029635019e-12 relative error = 7.9232579120049617810407368682328e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.2323 Order of pole = 5.204e-27 TOP MAIN SOLVE Loop x[1] = -0.2632104730170068326916720101486 y[1] (analytic) = 14.434231578053283620470385115533 y[1] (numeric) = 14.434231578052106163949514378019 absolute error = 1.177456520870737514e-12 relative error = 8.1573897058781895720866173899559e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.26239986020150276233385099379675 y[1] (analytic) = 14.523550573536986717243465742422 y[1] (numeric) = 14.523550573535784488035699929543 absolute error = 1.202229207765812879e-12 relative error = 8.2777913133470674434797027070076e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2624 Order of pole = 2.5e-29 memory used=137.3MB, alloc=4.4MB, time=8.41 TOP MAIN SOLVE Loop x[1] = -0.2615892473859986919760299774449 y[1] (analytic) = 14.61370120006287524667112506347 y[1] (numeric) = 14.613701200061647625438145064687 absolute error = 1.227621232979998783e-12 relative error = 8.4004812755766277722745523363868e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2616 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.26077863457049462161820896109305 y[1] (analytic) = 14.704693813961678884529263767958 y[1] (numeric) = 14.704693813960425234458753954571 absolute error = 1.253650070509813387e-12 relative error = 8.5255095166926163740274149170969e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2599680217549905512603879447412 y[1] (analytic) = 14.796538933277141022101550105003 y[1] (numeric) = 14.796538933275860688357688825829 absolute error = 1.280333743861279174e-12 relative error = 8.6529272124701566726966489284349e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2583467961239824105447459120375 y[1] (analytic) = 14.98282958720283954705218015932 y[1] (numeric) = 14.982829587201503806497444313513 absolute error = 1.335740554735845807e-12 relative error = 8.9151421429549652733307305729805e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2583 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.25753618330847834018692489568565 y[1] (analytic) = 15.077296994158486537142023775741 y[1] (numeric) = 15.077296994157122034479938322495 absolute error = 1.364502662085453246e-12 relative error = 9.0500483118035881135004344442402e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2575 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.2567255704929742698291038793338 y[1] (analytic) = 15.172660657642037568612785759552 y[1] (numeric) = 15.172660657640643571025997538987 absolute error = 1.393997586788220565e-12 relative error = 9.1875618801643971024837332166644e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.25591495767747019947128286298195 y[1] (analytic) = 15.268931951219951150223385953538 y[1] (numeric) = 15.268931951218526903822522004199 absolute error = 1.424246400863949339e-12 relative error = 9.3277408361896292122714460027028e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.09345 Order of pole = 2.23e-28 TOP MAIN SOLVE Loop x[1] = -0.25429373204646205875564083027825 y[1] (analytic) = 15.464243831333643140642987477974 y[1] (numeric) = 15.464243831332156047256882591057 absolute error = 1.487093386104886917e-12 relative error = 9.6163343149811117148361504193504e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2543 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.2534831192309579883978198139264 y[1] (analytic) = 15.56330808389040286834772614122 y[1] (numeric) = 15.563308083888883131172932816339 absolute error = 1.519737174793324881e-12 relative error = 9.7648723947475311127057426614843e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.25267250641545391803999879757455 y[1] (analytic) = 15.66332730575295179540010469004 y[1] (numeric) = 15.663327305751398569261612023098 absolute error = 1.553226138492666942e-12 relative error = 9.9163230658034302593433443356428e-12 % Correct digits = 13 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2518618935999498476821777812227 y[1] (analytic) = 15.764313810888259370973511877852 y[1] (numeric) = 15.764313810886671785998951504526 absolute error = 1.587584974560373326e-12 relative error = 1.0070752165970228970963700457002e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2519 Order of pole = 3e-30 TOP MAIN SOLVE Loop x[1] = -0.250240667968941706966535748519 y[1] (analytic) = 15.969238926329626398471101680401 y[1] (numeric) = 15.969238926327967383366492079327 absolute error = 1.659015104609601074e-12 relative error = 1.0388817602786718983630806353253e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2502 Order of pole = 4.9e-29 TOP MAIN SOLVE Loop x[1] = -0.24943005515343763660871473216715 y[1] (analytic) = 16.073203175771697455131479995941 y[1] (numeric) = 16.073203175770001315198896927315 absolute error = 1.696139932583068626e-12 relative error = 1.0552594364885420692355749084895e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2494 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.2486194423379335662508937158153 y[1] (analytic) = 16.178185994778603627746721508576 y[1] (numeric) = 16.178185994776869385984510308292 absolute error = 1.734241762211200284e-12 relative error = 1.0719630512165669764713879653576e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2486 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.24780882952242949589307269946345 y[1] (analytic) = 16.284200732584230152561973811603 y[1] (numeric) = 16.284200732582456802947838542556 absolute error = 1.773349614135269047e-12 relative error = 1.0890000947893291898092788914999e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2478 Order of pole = 2.0e-29 TOP MAIN SOLVE Loop x[1] = -0.2469982167069254255352516831116 y[1] (analytic) = 16.391260957832705267647402133052 y[1] (numeric) = 16.391260957830891774177436892053 absolute error = 1.813493469965240999e-12 relative error = 1.1063782552364572783034644508792e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.247 Order of pole = 1.0e-29 memory used=141.1MB, alloc=4.4MB, time=8.63 TOP MAIN SOLVE Loop x[1] = -0.2453769910759172848196096504079 y[1] (analytic) = 16.608573268437205780347084172737 y[1] (numeric) = 16.608573268435308766210339278127 absolute error = 1.897014136744894610e-12 relative error = 1.1421897029228660268586054270068e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.24456637826041321446178863405605 y[1] (analytic) = 16.718853627714277326743403882732 y[1] (numeric) = 16.718853627712336870704490125449 absolute error = 1.940456038913757283e-12 relative error = 1.1606394087314270387575940824815e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.4088 Order of pole = 9.80e-28 TOP MAIN SOLVE Loop x[1] = -0.2437557654449091441039676177042 y[1] (analytic) = 16.830236031473464641489542632712 y[1] (numeric) = 16.830236031471479577284606745058 absolute error = 1.985064204935887654e-12 relative error = 1.1794630813398627894170660548946e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2438 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.24294515262940507374614660135235 y[1] (analytic) = 16.942735212588795309594500533385 y[1] (numeric) = 16.942735212586764435617422117865 absolute error = 2.030873977078415520e-12 relative error = 1.1986694896638855779771169178334e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.24132392699839693303050456864865 y[1] (analytic) = 17.171144078491465446122897045308 y[1] (numeric) = 17.17114407848933920039948234331 absolute error = 2.126245723414701998e-12 relative error = 1.2382667769225886199602464338620e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2405133141828928626726835522968 y[1] (analytic) = 17.28708448421288607974106634814 y[1] (numeric) = 17.287084484210710195208914676305 absolute error = 2.175884532151671835e-12 relative error = 1.2586764032643900200219822378380e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.23970270136738879231486253594495 y[1] (analytic) = 17.404203119489162978788026541491 y[1] (numeric) = 17.404203119486936100077351807823 absolute error = 2.226878710674733668e-12 relative error = 1.2795062752290468472916807554751e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2397 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.2388920885518847219570415195931 y[1] (analytic) = 17.522516003378486567570151675904 y[1] (numeric) = 17.522516003376207297534988763265 absolute error = 2.279270035162912639e-12 relative error = 1.3007664166056121463351255878098e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2389 Order of pole = 2.2e-29 TOP MAIN SOLVE Loop x[1] = -0.2372708629208765812413994868894 y[1] (analytic) = 17.762789964685928454455976726033 y[1] (numeric) = 17.76278996468354003599659366377 absolute error = 2.388418459383062263e-12 relative error = 1.3446189839160736364900408492340e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2373 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.23646025010537251088357847053755 y[1] (analytic) = 17.88478446863941155013791847902 y[1] (numeric) = 17.884784468636966283628184428652 absolute error = 2.445266509734050368e-12 relative error = 1.3672328643500138821357839359110e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2356496372898684405257574541857 y[1] (analytic) = 18.008040085903052205608918310448 y[1] (numeric) = 18.008040085900548511885832940574 absolute error = 2.503693723085369874e-12 relative error = 1.3903199410608246239209190995510e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.3161 Order of pole = 8.54e-28 TOP MAIN SOLVE Loop x[1] = -0.23483902447436437016793643783385 y[1] (analytic) = 18.13257425884071785712988303147 y[1] (numeric) = 18.132574258838154107508405369614 absolute error = 2.563749621477661856e-12 relative error = 1.4138916983768480073430335665744e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.23321779884335622945229440513015 y[1] (analytic) = 18.385549560520417320019675276404 y[1] (numeric) = 18.385549560517728365733435237903 absolute error = 2.688954286240038501e-12 relative error = 1.4625368022798038965405502271100e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2324071860278521590944733887783 y[1] (analytic) = 18.514027112436369230314796250617 y[1] (numeric) = 18.514027112433615019290088475349 absolute error = 2.754211024707775268e-12 relative error = 1.4876347582194571567270068209310e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.23159657321234808873665237242645 y[1] (analytic) = 18.64385607948551962681788193602 y[1] (numeric) = 18.643856079482698314283201817035 absolute error = 2.821312534680118985e-12 relative error = 1.5132666346767752904115185207781e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2307859603968440183788313560746 y[1] (analytic) = 18.775055481820742002787804252378 y[1] (numeric) = 18.775055481817851685094519296584 absolute error = 2.890317693284955794e-12 relative error = 1.5394456203250923569609807430063e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.22997534758133994802101033972275 y[1] (analytic) = 18.907644675394048050277367845124 y[1] (numeric) = 18.907644675391086762804409703673 absolute error = 2.961287472958141451e-12 relative error = 1.5661852778584788089099600563442e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 memory used=144.9MB, alloc=4.4MB, time=8.86 NO POLE TOP MAIN SOLVE Loop x[1] = -0.22835412195033180730536830701905 y[1] (analytic) = 19.177071582072809651011161198149 y[1] (numeric) = 19.177071582069700275251928756026 absolute error = 3.109375759232442123e-12 relative error = 1.6214028017391152614333948011446e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2275435091348277369475472906672 y[1] (analytic) = 19.313949751226309401309579980047 y[1] (numeric) = 19.31394975122312277386361811117 absolute error = 3.186627445961868877e-12 relative error = 1.6499097735094495057093540524538e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2275 Order of pole = 5.4e-29 TOP MAIN SOLVE Loop x[1] = -0.22673289631932366658972627431535 y[1] (analytic) = 19.452298638901847045078303736456 y[1] (numeric) = 19.452298638898580934781281283994 absolute error = 3.266110297022452462e-12 relative error = 1.6790356541672117051685675144856e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2259222835038195962319052579635 y[1] (analytic) = 19.592139390769696904695882660222 y[1] (numeric) = 19.592139390766349007626400774956 absolute error = 3.347897069481885266e-12 relative error = 1.7087960649459016337702074216177e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2243010578728114555162632252598 y[1] (analytic) = 19.876382985075242892444549981905 y[1] (numeric) = 19.876382985071724205702693631166 absolute error = 3.518686741856350739e-12 relative error = 1.7702852397734831636475206221000e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2243 Order of pole = 2.7e-29 TOP MAIN SOLVE Loop x[1] = -0.22349044505730738515844220890795 y[1] (analytic) = 20.02083005923159819789552648148 y[1] (numeric) = 20.020830059227990349081310544756 absolute error = 3.607848814215936724e-12 relative error = 1.8020475692277098245182626672568e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2235 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.2226798322418033148006211925561 y[1] (analytic) = 20.166857478226315867476708013311 y[1] (numeric) = 20.166857478222616234097180035772 absolute error = 3.699633379527977539e-12 relative error = 1.8345115908724922218104851060866e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2227 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.22186921942629924444280017620425 y[1] (analytic) = 20.314488379746475096863846759232 y[1] (numeric) = 20.314488379742680969330226111687 absolute error = 3.794127533620647545e-12 relative error = 1.8676953427010197108811519354581e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.22024799379529110372715814350055 y[1] (analytic) = 20.61465531551948412267618614954 y[1] (numeric) = 20.614655315515492513423716058218 absolute error = 3.991609252470091322e-12 relative error = 1.9362968681145294104679468306765e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2194373809797870333693371271487 y[1] (analytic) = 20.76723978800536186991252810375 y[1] (numeric) = 20.76723978800126708224099352601 absolute error = 4.094787671534577740e-12 relative error = 1.9717534507882095397172526371463e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.21862676816428296301151611079685 y[1] (analytic) = 20.921524639025539296671633596214 y[1] (numeric) = 20.921524639021338239001807848562 absolute error = 4.201057669825747652e-12 relative error = 2.0080074193012637362981824925123e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.217816155348778892653695094445 y[1] (analytic) = 21.077535227769091443743178033728 y[1] (numeric) = 21.077535227764780919891272712557 absolute error = 4.310523851905321171e-12 relative error = 2.0450796572392016547734506473886e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2161949297177707519380530617413 y[1] (analytic) = 21.394837438490738516465491935775 y[1] (numeric) = 21.394837438486199033378360955454 absolute error = 4.539483087130980321e-12 relative error = 2.1217656363044608560466543126075e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2162 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.21538431690226668158023204538945 y[1] (analytic) = 21.556182194522891218636324239738 y[1] (numeric) = 21.556182194518232012884537513475 absolute error = 4.659205751786726263e-12 relative error = 2.1614243699288095192844738811835e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2154 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.2145737040867626112224110290376 y[1] (analytic) = 21.719358978632289750506416519804 y[1] (numeric) = 21.719358978627507166331328749458 absolute error = 4.782584175087770346e-12 relative error = 2.2019914030579455743798893959368e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2146 Order of pole = 5.6e-29 TOP MAIN SOLVE Loop x[1] = -0.21376309127125854086459001268575 y[1] (analytic) = 21.884395632438570915413083211379 y[1] (numeric) = 21.884395632433661170992823742863 absolute error = 4.909744420259468516e-12 relative error = 2.2434909799299663505192803381066e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 memory used=148.7MB, alloc=4.4MB, time=9.07 Real estimate of pole used Radius of convergence = 0.2138 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.2129524784557544705067689963339 y[1] (analytic) = 22.051320528469660726523916398914 y[1] (numeric) = 22.051320528464619909124744386885 absolute error = 5.040817399172012029e-12 relative error = 2.2859480876276753492741588381484e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2113312528247463297911269636302 y[1] (analytic) = 22.39095126535797070076222193774 y[1] (numeric) = 22.390951265352655450068152598553 absolute error = 5.315250694069339187e-12 relative error = 2.3738387132719985026644883576227e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.21052064000924225943330594727835 y[1] (analytic) = 22.563716617218678588112615759574 y[1] (numeric) = 22.563716617213219689133872475181 absolute error = 5.458898978743284393e-12 relative error = 2.4193261559478744938198492688232e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2097100271937381890754849309265 y[1] (analytic) = 22.738489259382519657485649534089 y[1] (numeric) = 22.738489259376912621089403152912 absolute error = 5.607036396246381177e-12 relative error = 2.4658790354476893510825615586380e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.20889941437823411871766391457465 y[1] (analytic) = 22.915300408560425726214717318651 y[1] (numeric) = 22.915300408554665904825139760059 absolute error = 5.759821389577558592e-12 relative error = 2.5135264591276634259510804767175e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.20727818874722597800202188187095 y[1] (analytic) = 23.275166155163065750178383314359 y[1] (numeric) = 23.275166155156985750841556386309 absolute error = 6.079999336826928050e-12 relative error = 2.6122259649167826064610705517524e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2073 Order of pole = 5.9e-29 TOP MAIN SOLVE Loop x[1] = -0.2064675759317219076442008655191 y[1] (analytic) = 23.458286289732842495974338880865 y[1] (numeric) = 23.458286289726594754509923240605 absolute error = 6.247741464415640260e-12 relative error = 2.6633409564747849329065853297331e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2065 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.20565696311621783728637984916725 y[1] (analytic) = 23.643576035447667610816056028702 y[1] (numeric) = 23.643576035441246780719034936478 absolute error = 6.420830097021092224e-12 relative error = 2.7156763796621343825144027377183e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2057 Order of pole = 4.7e-29 TOP MAIN SOLVE Loop x[1] = -0.2048463503007137669285588328154 y[1] (analytic) = 23.831069802289711525534986927063 y[1] (numeric) = 23.831069802283112067822753952064 absolute error = 6.599457712232974999e-12 relative error = 2.7692662423400282750898187983358e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.2032251246697056262129168001117 y[1] (analytic) = 24.212810480165800665604499965295 y[1] (numeric) = 24.212810480158826526810344326535 absolute error = 6.974138794155638760e-12 relative error = 2.8803507960666457717566746010587e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2032 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.20241451185420155585509578375985 y[1] (analytic) = 24.407129701778406809819019423999 y[1] (numeric) = 24.407129701771236192564395118306 absolute error = 7.170617254624305693e-12 relative error = 2.9379191007871049087129177078641e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2024 Order of pole = 4.0e-29 TOP MAIN SOLVE Loop x[1] = -0.201603899038697485497274767408 y[1] (analytic) = 24.603797599921687751957973999872 y[1] (numeric) = 24.603797599914314266536173022377 absolute error = 7.373485421800977495e-12 relative error = 2.9968891557718093111333861658099e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2016 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.20079328622319341513945375105615 y[1] (analytic) = 24.802852177961315750615942012627 y[1] (numeric) = 24.80285217795373277259251996094 absolute error = 7.582978023422051687e-12 relative error = 3.0573008172664676136367698804897e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.2008 Order of pole = 3.5e-29 TOP MAIN SOLVE Loop x[1] = -0.1999826734076893447816327347043 y[1] (analytic) = 25.004332211037943285288529543941 y[1] (numeric) = 25.004332211030143945881250514929 absolute error = 7.799339407279029012e-12 relative error = 3.1191952424292615156634339462548e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.1201 Order of pole = 1.898e-27 TOP MAIN SOLVE Loop x[1] = -0.1983614477766812040659907020006 y[1] (analytic) = 25.414727715588541919396648515158 y[1] (numeric) = 25.414727715580288222749065300938 absolute error = 8.253696647583214220e-12 relative error = 3.2476038067174229107083182300244e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.19755083496117713370816968564875 y[1] (analytic) = 25.62372476890435704634222225208 y[1] (numeric) = 25.623724768895864813013929737259 absolute error = 8.492233328292514821e-12 relative error = 3.3142072063614479723672019832635e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 memory used=152.5MB, alloc=4.4MB, time=9.29 NO POLE TOP MAIN SOLVE Loop x[1] = -0.1967402221456730633503486692969 y[1] (analytic) = 25.835310481488463683494533487375 y[1] (numeric) = 25.835310481479724962071127824756 absolute error = 8.738721423405662619e-12 relative error = 3.3824719968692220439776548648049e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.1967 Order of pole = 3.9e-29 TOP MAIN SOLVE Loop x[1] = -0.19592960933016899299252765294505 y[1] (analytic) = 26.049527781722488604173557635692 y[1] (numeric) = 26.049527781713495143810695478649 absolute error = 8.993460362862157043e-12 relative error = 3.4524466002690345315932957851089e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.19430838369916085227688562024135 y[1] (analytic) = 26.486033348921686933076290341912 y[1] (numeric) = 26.486033348912157981092066786553 absolute error = 9.528951984223555359e-12 relative error = 3.5977270958965635270836338617462e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.1934977708836567819190646038895 y[1] (analytic) = 26.708412030803165236380378331389 y[1] (numeric) = 26.708412030793354867583224208425 absolute error = 9.810368797154122964e-12 relative error = 3.6731381805251823780921616671378e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.1935 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.19268715806815271156124358753765 y[1] (analytic) = 26.933603176991641807813918893151 y[1] (numeric) = 26.93360317698154044183886061248 absolute error = 1.0101365975058280671e-11 relative error = 3.7504695931985422024489644779233e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.1918765452526486412034225711858 y[1] (analytic) = 27.161654414540477376676139484559 y[1] (numeric) = 27.161654414530075064677997407883 absolute error = 1.0402311998142076676e-11 relative error = 3.8297784955887649902213166515337e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 NO POLE TOP MAIN SOLVE Loop x[1] = -0.1902553196216405004877805384821 y[1] (analytic) = 27.626532760104632088047042789492 y[1] (numeric) = 27.626532760093596483723362449724 absolute error = 1.1035604323680339768e-11 relative error = 3.9945672587682855417022198332834e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Real estimate of pole used Radius of convergence = 0.1903 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.18944470680613643012995952213025 y[1] (analytic) = 27.863460288988537201934021077897 y[1] (numeric) = 27.863460288977168432236038207333 absolute error = 1.1368769697982870564e-11 relative error = 4.0801715149771746938013892078758e-11 % Correct digits = 12 h = 0.0008106128155040703578210163518547 Complex estimate of poles used Radius of convergence = 0.05511 Order of pole = 5.90e-28 TOP MAIN SOLVE Loop x[1] = -0.18889362194252429626400624501843 y[1] (analytic) = 28.026277115237977630064637477726 y[1] (numeric) = 28.026277115226574911083566700438 absolute error = 1.1402718981070777288e-11 relative error = 4.0685814010135088725451554759896e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.6259 Order of pole = 4.429e-27 TOP MAIN SOLVE Loop x[1] = -0.18779145221530002853209969079479 y[1] (analytic) = 28.356221438989793031801935247907 y[1] (numeric) = 28.356221438978319989790194089682 absolute error = 1.1473042011741158225e-11 relative error = 4.0460404911233095712396964368931e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1878 Order of pole = 5e-30 TOP MAIN SOLVE Loop x[1] = -0.18668928248807576080019313657115 y[1] (analytic) = 28.692026737608425749740309188497 y[1] (numeric) = 28.692026737596879006718209991256 absolute error = 1.1546743022099197241e-11 relative error = 4.0243734357615672671158428670488e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1867 Order of pole = 4.3e-29 TOP MAIN SOLVE Loop x[1] = -0.18558711276085149306828658234751 y[1] (analytic) = 29.033832652973768875138975716578 y[1] (numeric) = 29.033832652962144869482987505683 absolute error = 1.1624005655988210895e-11 relative error = 4.0036070314670049932775882003793e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.3142 Order of pole = 4.871e-27 TOP MAIN SOLVE Loop x[1] = -0.18448494303362722533638002812387 y[1] (analytic) = 29.381783010706863789239703048608 y[1] (numeric) = 29.381783010695158764522141375245 absolute error = 1.1705024717561673363e-11 relative error = 3.9837693693729566250073524609807e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.1265 Order of pole = 1.855e-27 TOP MAIN SOLVE Loop x[1] = -0.18393385817001509147042675101205 y[1] (analytic) = 29.558108482068789271608375956444 y[1] (numeric) = 29.558108482057042264588100218831 absolute error = 1.1747007020275737613e-11 relative error = 3.9742079664542721553019640748100e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 memory used=156.4MB, alloc=4.4MB, time=9.51 NO POLE TOP MAIN SOLVE Loop x[1] = -0.18283168844279082373852019678841 y[1] (analytic) = 29.915554702296965043413058864723 y[1] (numeric) = 29.915554702285130991157994226518 absolute error = 1.1834052255064638205e-11 relative error = 3.9558190957281498734518395196224e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1828 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.18172951871556655600661364256477 y[1] (analytic) = 30.279524241754316244893172895163 y[1] (numeric) = 30.279524241742390850075642207263 absolute error = 1.1925394817530687900e-11 relative error = 3.9384353341609048317669423479049e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1817 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.18062734898834228827470708834113 y[1] (analytic) = 30.650176803756344471951592390561 y[1] (numeric) = 30.650176803744323197093024117492 absolute error = 1.2021274858568273069e-11 relative error = 3.9220898905532580814060114322058e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1806 Order of pole = 1.7e-29 TOP MAIN SOLVE Loop x[1] = -0.17952517926111802054280053411749 y[1] (analytic) = 31.027677009002630333495432081131 y[1] (numeric) = 31.027677008990508385961782940949 absolute error = 1.2121947533649140182e-11 relative error = 3.9068176229022806631842084027504e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.17897409439750588667684725700567 y[1] (analytic) = 31.219047811236451968630913845714 y[1] (numeric) = 31.219047811224277803429276881001 absolute error = 1.2174165201636964713e-11 relative error = 3.8995952968351594592841079431218e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.179 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.17787192467028161894494070278203 y[1] (analytic) = 31.607139353795509333410148050017 y[1] (numeric) = 31.607139353783226792770386942793 absolute error = 1.2282540639761107224e-11 relative error = 3.8860019890683879754793605934358e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1779 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.17676975494305735121303414855839 y[1] (analytic) = 32.002512824374320379755996199424 y[1] (numeric) = 32.002512824361923960505024882567 absolute error = 1.2396419250971316857e-11 relative error = 3.8735768403566536702562924198671e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1768 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.17566758521583308348112759433475 y[1] (analytic) = 32.405351547554526389980164640531 y[1] (numeric) = 32.405351547542010272568363030485 absolute error = 1.2516117411801610046e-11 relative error = 3.8623612502503896758327420511586e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1757 Order of pole = 3.7e-29 TOP MAIN SOLVE Loop x[1] = -0.17456541548860881574922104011111 y[1] (analytic) = 32.815844653497503089027085812695 y[1] (numeric) = 32.815844653484861117189437564578 absolute error = 1.2641971837648248117e-11 relative error = 3.8523987333359315101460765514093e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1746 Order of pole = 2.6e-29 TOP MAIN SOLVE Loop x[1] = -0.17346324576138454801731448588747 y[1] (analytic) = 33.234187299973350880024783790088 y[1] (numeric) = 33.234187299960576538994464930098 absolute error = 1.2774341030318859990e-11 relative error = 3.8437350415754271221873954541986e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.17291216089777241415136120877565 y[1] (analytic) = 33.44636489276935390789976375674 y[1] (numeric) = 33.446364892756510820864915558973 absolute error = 1.2843087034848197767e-11 relative error = 3.8399051962817930378894579790798e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE memory used=160.2MB, alloc=4.4MB, time=9.73 TOP MAIN SOLVE Loop x[1] = -0.17180999117054814641945465455201 y[1] (analytic) = 33.876861529761848867392583092718 y[1] (numeric) = 33.876861529748862915295457426245 absolute error = 1.2985952097125666473e-11 relative error = 3.8332807440609910855812482591086e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.17070782144332387868754810032837 y[1] (analytic) = 34.315723520930515903994270659984 y[1] (numeric) = 34.315723520917379569951412837978 absolute error = 1.3136334042857822006e-11 relative error = 3.8280801612256412825946031234022e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1707 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.16960565171609961095564154610473 y[1] (analytic) = 34.763169017825105821309260025377 y[1] (numeric) = 34.763169017811811140560946322743 absolute error = 1.3294680748313702634e-11 relative error = 3.8243581134667969502110609681570e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1696 Order of pole = 8e-30 TOP MAIN SOLVE Loop x[1] = -0.16850348198887534322373499188109 y[1] (analytic) = 35.219423329825334924150797493975 y[1] (numeric) = 35.21942332981187345421335734913 absolute error = 1.3461469937440144845e-11 relative error = 3.8221721609054252632589386678358e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.16795239712526320935778171476927 y[1] (analytic) = 35.450926227436852192576922366436 y[1] (numeric) = 35.450926227423304004124864977332 absolute error = 1.3548188452057389104e-11 relative error = 3.8216740417834043847176182546679e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.16685022739803894162587516054563 y[1] (analytic) = 35.92083257631328987723837679644 y[1] (numeric) = 35.920832576299561269383240681574 absolute error = 1.3728607855136114866e-11 relative error = 3.8219069187691810339903603785245e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.16574805767081467389396860632199 y[1] (analytic) = 36.400144223633092897918553381022 y[1] (numeric) = 36.400144223619174088385000251149 absolute error = 1.3918809533553129873e-11 relative error = 3.8238336222075264061779494524110e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.16464588794359040616206205209835 y[1] (analytic) = 36.889113853643353100781558113849 y[1] (numeric) = 36.889113853629233706546646800351 absolute error = 1.4119394234911313498e-11 relative error = 3.8275232880165300078166922587402e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1646 Order of pole = 4.6e-29 TOP MAIN SOLVE Loop x[1] = -0.16354371821636613843015549787471 y[1] (analytic) = 37.388002693758428021289113217119 y[1] (numeric) = 37.38800269374409701730942583582 absolute error = 1.4331003979687381299e-11 relative error = 3.8330488250659632890623067226446e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.16299263335275400456420222076289 y[1] (analytic) = 37.64125087273405025588880641234 y[1] (numeric) = 37.641250872719609099960897099324 absolute error = 1.4441155927909313016e-11 relative error = 3.8365239180640407065221816136880e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.163 Order of pole = 1.5e-29 TOP MAIN SOLVE Loop x[1] = -0.16189046362552973683229566653925 y[1] (analytic) = 38.155527880477544324105559702766 y[1] (numeric) = 38.155527880462873719001986459281 absolute error = 1.4670605103573243485e-11 relative error = 3.8449487973352159366155798458831e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.1429 Order of pole = 3.307e-27 memory used=164.0MB, alloc=4.4MB, time=9.95 TOP MAIN SOLVE Loop x[1] = -0.16078829389830546910038911231561 y[1] (analytic) = 38.680416874755205183368773409944 y[1] (numeric) = 38.680416874740292297164004867963 absolute error = 1.4912886204768541981e-11 relative error = 3.8554098972241028663636705030892e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.15968612417108120136848255809197 y[1] (analytic) = 39.216211844364695135489954131853 y[1] (numeric) = 39.216211844349526323268415170053 absolute error = 1.5168812221538961800e-11 relative error = 3.8679952774986590297907644027927e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.3614 Order of pole = 2.619e-27 TOP MAIN SOLVE Loop x[1] = -0.15858395444385693363657600386833 y[1] (analytic) = 39.763217029699058298999522434844 y[1] (numeric) = 39.763217029683619045219711590411 absolute error = 1.5439253779810844433e-11 relative error = 3.8827979557789049482109591957239e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.15748178471663266590466944964469 y[1] (analytic) = 40.321747354734075517541330779753 y[1] (numeric) = 40.321747354718350373873341228296 absolute error = 1.5725143667989551457e-11 relative error = 3.8999162237802429128741543525261e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.15693069985302053203871617253287 y[1] (analytic) = 40.60543589078857811784935524969 y[1] (numeric) = 40.605435890772703926418130929199 absolute error = 1.5874191431224320491e-11 relative error = 3.9093759451121694776920150199502e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.15582853012579626430680961830923 y[1] (analytic) = 41.181868899430118517215000645743 y[1] (numeric) = 41.181868899413933366236762164464 absolute error = 1.6185150978238481279e-11 relative error = 3.9301642715060107588423329714017e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1558 Order of pole = 2.4e-29 TOP MAIN SOLVE Loop x[1] = -0.15472636039857199657490306408559 y[1] (analytic) = 41.770664129607288419523981625489 y[1] (numeric) = 41.770664129590774223406159553961 absolute error = 1.6514196117822071528e-11 relative error = 3.9535392749756913174832424082437e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1547 Order of pole = 6.3e-29 TOP MAIN SOLVE Loop x[1] = -0.15362419067134772884299650986195 y[1] (analytic) = 42.372177619726960603062684179773 y[1] (numeric) = 42.372177619710098084227170466246 absolute error = 1.6862518835513713527e-11 relative error = 3.9796205394133748196565023118388e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.15252202094412346111108995563831 y[1] (analytic) = 42.986778318711233987336400563404 y[1] (numeric) = 42.98677831869400258828761530255 absolute error = 1.7231399048785260854e-11 relative error = 4.0085346524526118932623750991909e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1525 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.15197093608051132724513667852649 y[1] (analytic) = 43.299105336955966563255352236154 y[1] (numeric) = 43.299105336938542589265002343043 absolute error = 1.7423973990349893111e-11 relative error = 4.0240956146219628267628025578402e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.152 Order of pole = 1.7e-29 TOP MAIN SOLVE Loop x[1] = -0.15086876635328705951323012430285 y[1] (analytic) = 43.934058269972743184166735572391 y[1] (numeric) = 43.934058269954916883676089008172 absolute error = 1.7826300490646564219e-11 relative error = 4.0575128254951494393287158007340e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE memory used=167.8MB, alloc=4.4MB, time=10.17 TOP MAIN SOLVE Loop x[1] = -0.14976659662606279178132357007921 y[1] (analytic) = 44.583081053466435976882365991465 y[1] (numeric) = 44.583081053448183159122853855956 absolute error = 1.8252817759512135509e-11 relative error = 4.0941131317556029258919027487322e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1498 Order of pole = 1e-30 TOP MAIN SOLVE Loop x[1] = -0.14866442689883852404941701585557 y[1] (analytic) = 45.246592475116616508559858860182 y[1] (numeric) = 45.246592475097911334081226269631 absolute error = 1.8705174478632590551e-11 relative error = 4.1340515286138971696017535264144e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1487 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.14756225717161425631751046163193 y[1] (analytic) = 45.925027020810050666855716477722 y[1] (numeric) = 45.925027020790865521729202651707 absolute error = 1.9185145126513826015e-11 relative error = 4.1774923981689642051533091135983e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1476 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.14646008744438998858560390740829 y[1] (analytic) = 46.618835586105731586848771638634 y[1] (numeric) = 46.618835586086036946231104155623 absolute error = 1.9694640617667483011e-11 relative error = 4.2246101538274520423286316236301e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1465 Order of pole = 3.2e-29 TOP MAIN SOLVE Loop x[1] = -0.14590900258077785471965063029647 y[1] (analytic) = 46.971650701587251368235750843982 y[1] (numeric) = 46.971650701567290270748978013135 absolute error = 1.9961097486772830847e-11 relative error = 4.2496052807653003489963235399473e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1459 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.14480683285355358698774407607283 y[1] (analytic) = 47.689403475620044967268163604218 y[1] (numeric) = 47.689403475599526176724274509674 absolute error = 2.0518790543889094544e-11 relative error = 4.3025890551092314066768988379040e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.08428 Order of pole = 2.190e-27 TOP MAIN SOLVE Loop x[1] = -0.14370466312632931925583752184919 y[1] (analytic) = 48.423734317821697841648006188164 y[1] (numeric) = 48.42373431780058637999020407435 absolute error = 2.1111461657802113814e-11 relative error = 4.3597343235117509381450554082349e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1437 Order of pole = 1.8e-29 TOP MAIN SOLVE Loop x[1] = -0.14260249339910505152393096762555 y[1] (analytic) = 49.17515772906833548814378649202 y[1] (numeric) = 49.175157729046593889873642360858 absolute error = 2.1741598270144131162e-11 relative error = 4.4212564380433648553371058561776e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1426 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.14150032367188078379202441340191 y[1] (analytic) = 49.944208325643925948354761191375 y[1] (numeric) = 49.944208325621514062425747302334 absolute error = 2.2411885929013889041e-11 relative error = 4.4873843595407385442954742694221e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.14094923880826864992607113629009 y[1] (analytic) = 50.335516619333457843211955304053 y[1] (numeric) = 50.335516619310694859136391117902 absolute error = 2.2762984075564186151e-11 relative error = 4.5222510077151192344356898770753e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1409 Order of pole = 4.2e-29 TOP MAIN SOLVE Loop x[1] = -0.13984706908104438219416458206645 y[1] (analytic) = 51.132056755615984695977807476393 y[1] (numeric) = 51.132056755592485685446264127227 absolute error = 2.3499010531543349166e-11 relative error = 4.5957491293292017807035284049026e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=10.40 x[1] = -0.13874489935382011446225802784281 y[1] (analytic) = 51.947654995911191860803790708717 y[1] (numeric) = 51.947654995886908973152882414586 absolute error = 2.4282887650908294131e-11 relative error = 4.6744915921266521189164689375304e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.13764272962659584673035147361917 y[1] (analytic) = 52.782924206409984740611572807285 y[1] (numeric) = 52.782924206384866596892488702125 absolute error = 2.5118143719084105160e-11 relative error = 4.7587631978968200499451952155615e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.13654055989937157899844491939553 y[1] (analytic) = 53.63850208834348372351068709854 y[1] (numeric) = 53.638502088317475125045660919196 absolute error = 2.6008598465026179344e-11 relative error = 4.8488674091214544806791463029237e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.13598947503575944513249164228371 y[1] (analytic) = 54.074113151769156072431328091945 y[1] (numeric) = 54.074113151742680267215304782806 absolute error = 2.6475805216023309139e-11 relative error = 4.8962070153076738349982085699160e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.13488730530853517740058508806007 y[1] (analytic) = 54.961407070744355815608896416177 y[1] (numeric) = 54.961407070716898891740436893243 absolute error = 2.7456923868459522934e-11 relative error = 4.9956733882591385191872364830606e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.13378513558131090966867853383643 y[1] (analytic) = 55.870720731447121992370591349019 y[1] (numeric) = 55.870720731418617744865617720895 absolute error = 2.8504247504973628124e-11 relative error = 5.1018220513002736477926607676359e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1338 Order of pole = 1.7e-29 TOP MAIN SOLVE Loop x[1] = -0.13268296585408664193677197961279 y[1] (analytic) = 56.802788818057257373017693996732 y[1] (numeric) = 56.80278881802763452844504906823 absolute error = 2.9622844572644928502e-11 relative error = 5.2150334849805839669055155724380e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.13158079612686237420486542538915 y[1] (analytic) = 57.758376913036936201496409103847 y[1] (numeric) = 57.758376913006117983157161420045 absolute error = 3.0818218339247683802e-11 relative error = 5.3357140533309459102424439769461e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1316 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.13047862639963810647295887116551 y[1] (analytic) = 58.738283069719095308978775608448 y[1] (numeric) = 58.738283069686998960698587105667 absolute error = 3.2096348280188502781e-11 relative error = 5.4642980017124285814065917269561e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.12992754153602597260700559405369 y[1] (analytic) = 59.237614099764544856417772985767 y[1] (numeric) = 59.237614099731776399647542162544 absolute error = 3.2768456770230823223e-11 relative error = 5.5316975992726671765548066920358e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.12882537180880170487509903983005 y[1] (analytic) = 60.255568855466691701000843574955 y[1] (numeric) = 60.255568855432508613111709406656 absolute error = 3.4183087889134168299e-11 relative error = 5.6730172062814912236744401964500e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.1252 Order of pole = 4.369e-27 TOP MAIN SOLVE Loop x[1] = -0.12772320208157743714319248560641 y[1] (analytic) = 61.299990053877332063146201058856 y[1] (numeric) = 61.299990053841634243794087290875 absolute error = 3.5697819352113767981e-11 relative error = 5.8234625031323016002361568522025e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE memory used=175.4MB, alloc=4.4MB, time=10.62 TOP MAIN SOLVE Loop x[1] = -0.12662103235435316941128593138277 y[1] (analytic) = 62.371803200225251606846047968389 y[1] (numeric) = 62.371803200187930916334102782883 absolute error = 3.7320690511945185506e-11 relative error = 5.9835837024205842298997688506725e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1266 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.12551886262712890167937937715913 y[1] (analytic) = 63.471974611260567236542039857196 y[1] (numeric) = 63.471974611221506771986880209437 absolute error = 3.9060464555159647759e-11 relative error = 6.1539702828514063819320677549204e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1255 Order of pole = 4.6e-29 TOP MAIN SOLVE Loop x[1] = -0.12496777776351676781342610004731 y[1] (analytic) = 64.033008332838092268362888890073 y[1] (numeric) = 64.033008332798115124143319546549 absolute error = 3.9977144219569343524e-11 relative error = 6.2432088168919961247587351467043e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.125 Order of pole = 1.4e-29 TOP MAIN SOLVE Loop x[1] = -0.12386560803629250008151954582367 y[1] (analytic) = 65.177623655336313770087945943676 y[1] (numeric) = 65.177623655294403303183544505292 absolute error = 4.1910466904401438384e-11 relative error = 6.4301925344849675088439828179297e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1239 Order of pole = 1.1e-29 TOP MAIN SOLVE Loop x[1] = -0.12276343830906823234961299160003 y[1] (analytic) = 66.353206222386270872748689823907 y[1] (numeric) = 66.353206222342284611009863858952 absolute error = 4.3986261738825964955e-11 relative error = 6.6291087112510717876212517780084e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1228 Order of pole = 1.3e-29 TOP MAIN SOLVE Loop x[1] = -0.12166126858184396461770643737639 y[1] (analytic) = 67.560883272066269930115948845884 y[1] (numeric) = 67.560883272020053480525453522225 absolute error = 4.6216449590495323659e-11 relative error = 6.8407112743601417480873690557673e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.12055909885461969688579988315275 y[1] (analytic) = 68.801833803850329834976290779189 y[1] (numeric) = 68.80183380380171576503591791232 absolute error = 4.8614069940372866869e-11 relative error = 7.0658102048512981473755589034756e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1206 Order of pole = 6.1e-29 TOP MAIN SOLVE Loop x[1] = -0.11945692912739542915389332892911 y[1] (analytic) = 70.077291457208209406701000580053 y[1] (numeric) = 70.077291457157016009266407308638 absolute error = 5.1193397434593271415e-11 relative error = 7.3052762699674054400438924197457e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.08804 Order of pole = 4.062e-27 TOP MAIN SOLVE Loop x[1] = -0.11890584426378329528794005181729 y[1] (analytic) = 70.728361658141240237561121691351 y[1] (numeric) = 70.728361658088684205959616292337 absolute error = 5.2556031601505399014e-11 relative error = 7.4306869789420462606504546630645e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.11780367453655902755603349759365 y[1] (analytic) = 72.058020190418877950262984433333 y[1] (numeric) = 72.058020190363440240159827518703 absolute error = 5.5437710103156914630e-11 relative error = 7.6934822739590247437063180191599e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.11670150480933475982412694337001 y[1] (analytic) = 73.425529623614426770284870817749 y[1] (numeric) = 73.425529623555883693927314560757 absolute error = 5.8543076357556256992e-11 relative error = 7.9731227895328908281525846430275e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1167 Order of pole = 6.8e-29 memory used=179.2MB, alloc=4.4MB, time=10.84 TOP MAIN SOLVE Loop x[1] = -0.11559933508211049209222038914637 y[1] (analytic) = 74.832340359682592485117298079323 y[1] (numeric) = 74.832340359620700630322787349004 absolute error = 6.1891854794510730319e-11 relative error = 8.2707362214019694869300697022540e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1156 Order of pole = 4.8e-29 TOP MAIN SOLVE Loop x[1] = -0.11449716535488622436031383492273 y[1] (analytic) = 76.279972944109847744136084471264 y[1] (numeric) = 76.27997294404434202274843124781 absolute error = 6.5505721387653223454e-11 relative error = 8.5875386237550329983045597311430e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.11394608049127409049436055781091 y[1] (analytic) = 77.019592785619098031719105459969 y[1] (numeric) = 77.019592785551678609338826490508 absolute error = 6.7419422380278969461e-11 relative error = 8.7535417861709796122445261484670e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.11284391076404982276245400358727 y[1] (analytic) = 78.5314727892066748911836766602 y[1] (numeric) = 78.531472789135198524310901390087 absolute error = 7.1476366872775270113e-11 relative error = 9.1016205776034987470802555838862e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1128 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.11174174103682555503054744936363 y[1] (analytic) = 80.088310561325559569424981511413 y[1] (numeric) = 80.08831056124969696949372373795 absolute error = 7.5862599931257773463e-11 relative error = 9.4723686140398657670041205405946e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.11063957130960128729864089513999 y[1] (analytic) = 81.691906437839310844804011969366 y[1] (numeric) = 81.691906437758702348546578752647 absolute error = 8.0608496257433216719e-11 relative error = 9.8673785167162822420389917066955e-11 % Correct digits = 12 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1106 Order of pole = 5.6e-29 TOP MAIN SOLVE Loop x[1] = -0.10953740158237701956673434091635 y[1] (analytic) = 83.34415178331921233799602933486 y[1] (numeric) = 83.344151783233464762193906251812 absolute error = 8.5747575802123083048e-11 relative error = 1.0288373445212133088226879456665e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10898631671876488570078106380453 y[1] (analytic) = 84.189135313967729344588479117756 y[1] (numeric) = 84.189135313879253362126955109339 absolute error = 8.8475982461524008417e-11 relative error = 1.0509192442892931440970351871100e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10788414699154061796887450958089 y[1] (analytic) = 85.918114126076626652684657844513 y[1] (numeric) = 85.918114125982351183720740138732 absolute error = 9.4275468963917705781e-11 relative error = 1.0972711624649658754630857700203e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10678197726431635023696795535725 y[1] (analytic) = 87.700906684823382476909768599235 y[1] (numeric) = 87.700906684722814287807887283255 absolute error = 1.00568189101881315980e-10 relative error = 1.1467177809609192232965891607382e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10567980753709208250506140113361 y[1] (analytic) = 89.53976962265944159030854368506 y[1] (numeric) = 89.539769622552039751187361506686 absolute error = 1.07401839121182178374e-10 relative error = 1.1994875525567854514396401863792e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1057 Order of pole = 3.3e-29 memory used=183.1MB, alloc=4.4MB, time=11.06 TOP MAIN SOLVE Loop x[1] = -0.10457763780986781477315484690997 y[1] (analytic) = 91.437079111513991180197009575595 y[1] (numeric) = 91.43707911139916188482692277106 absolute error = 1.14829295370086804535e-10 relative error = 1.2558285597688914537295348787208e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10347546808264354704124829268633 y[1] (analytic) = 93.395338542854745117731028661706 y[1] (numeric) = 93.39533854273183587782593257496 absolute error = 1.22909239905096086746e-10 relative error = 1.3160104328836368538082536738653e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10292438321903141317529501557451 y[1] (analytic) = 94.39814360385746631987513495051 y[1] (numeric) = 94.398143603730252326388113386808 absolute error = 1.27213993487021563702e-10 relative error = 1.3476323646879758898525886676211e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 NO POLE TOP MAIN SOLVE Loop x[1] = -0.10182221349180714544338846135087 y[1] (analytic) = 96.452820587406361886784152816041 y[1] (numeric) = 96.452820587269964719614918877742 absolute error = 1.36397167169233938299e-10 relative error = 1.4141335249561693393968438035104e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 Real estimate of pole used Radius of convergence = 0.1018 Order of pole = 3.0e-29 TOP MAIN SOLVE Loop x[1] = -0.10072004376458287771148190712723 y[1] (analytic) = 98.575318367598213592620384496253 y[1] (numeric) = 98.575318367451803767530425720344 absolute error = 1.46409825089958775909e-10 relative error = 1.4852584553060272249405230133039e-10 % Correct digits = 11 h = 0.00055108486361213386595327711181679 Complex estimate of poles used Radius of convergence = 0.04075 Order of pole = 8.8e-29 TOP MAIN SOLVE Loop x[1] = -0.09990496381300562107256449068045 y[1] (analytic) = 100.19034367404430488843493493637 y[1] (numeric) = 100.19034367389612278808274378683 absolute error = 1.4818210035219114954e-10 relative error = 1.4790058095247334040262150988143e-10 % Correct digits = 11 h = 0.00040753997578862831945870822339044 Complex estimate of poles used Radius of convergence = 0.03156 Order of pole = 1.858e-27 TOP MAIN SOLVE Loop x[1] = -0.098958069055421999391200291167569 y[1] (analytic) = 102.11688891586250769777798674741 y[1] (numeric) = 102.11688891571370872347569077116 absolute error = 1.4879897430229597625e-10 relative error = 1.4571436310099144059052612443917e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.09896 Order of pole = 2.9e-29 TOP MAIN SOLVE Loop x[1] = -0.097695542711977170482714691817061 y[1] (analytic) = 104.77327044288412814501469179879 y[1] (numeric) = 104.77327044273442964143506397508 absolute error = 1.4969850357962782371e-10 relative error = 1.4287852516852963853366619848633e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.09674864795439354880135049230418 y[1] (analytic) = 106.83417260971916534745102805242 y[1] (numeric) = 106.83417260956872858785347817575 absolute error = 1.5043675959754987667e-10 relative error = 1.4081333333962095567487444052147e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE memory used=186.9MB, alloc=4.4MB, time=11.28 TOP MAIN SOLVE Loop x[1] = -0.095801753196809927119986292791299 y[1] (analytic) = 108.95648552554900744593853672966 y[1] (numeric) = 108.95648552539777235369045733445 absolute error = 1.5123509224807939521e-10 relative error = 1.3880320342437674757039109046181e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.094854858439226305438622093278418 y[1] (analytic) = 111.14267353689166701747657790816 y[1] (numeric) = 111.14267353673956795979815024364 absolute error = 1.5209905767842766452e-10 relative error = 1.3685027796991163403933152132516e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.093907963681642683757257893765537 y[1] (analytic) = 113.39532585632177233595023909531 y[1] (numeric) = 113.39532585616873754706615811681 absolute error = 1.5303478888408097850e-10 relative error = 1.3495687562817591398197406794676e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.092961068924059062075893694252656 y[1] (analytic) = 115.71716423234016416971326471133 y[1] (numeric) = 115.71716423218611510743877724992 absolute error = 1.5404906227448746141e-10 relative error = 1.3312550760851988947862632175015e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.09296 Order of pole = 2.5e-29 TOP MAIN SOLVE Loop x[1] = -0.091698542580614233167408094902148 y[1] (analytic) = 118.92554040309260337881911725739 y[1] (numeric) = 118.92554040293706670731515044623 absolute error = 1.5553667150396681116e-10 relative error = 1.3078491884651730566428165276543e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.090751647823030611486043895389267 y[1] (analytic) = 121.42020479232833664813553307334 y[1] (numeric) = 121.42020479217157188980292650933 absolute error = 1.5676475833260656401e-10 relative error = 1.2910928506563628668515854979782e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.09075 Order of pole = 1e-30 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.4MB, time=11.51 x[1] = -0.089804753065446989804679695876386 y[1] (analytic) = 123.99419515346509931158423945126 y[1] (numeric) = 123.99419515330699965093952274108 absolute error = 1.5809966064471671018e-10 relative error = 1.2750569528600912992854230368782e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.0898 Order of pole = 2.8e-29 TOP MAIN SOLVE Loop x[1] = -0.088857858307863368123315496363505 y[1] (analytic) = 126.65091072078749516130862002451 y[1] (numeric) = 126.65091072062794321681348160947 absolute error = 1.5955194449513841504e-10 relative error = 1.2597773169344513853535104186688e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.087910963550279746441951296850624 y[1] (analytic) = 129.3939347761996890042462851776 y[1] (numeric) = 129.39393477603855565416297601239 absolute error = 1.6113335008330916521e-10 relative error = 1.2452929139376285807371855731047e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.086964068792696124760587097337743 y[1] (analytic) = 132.22704673806861411536861448327 y[1] (numeric) = 132.22704673790575717848832281784 absolute error = 1.6285693688029166543e-10 relative error = 1.2316461790370199829440150488508e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.08696 Order of pole = 4e-30 TOP MAIN SOLVE Loop x[1] = -0.085701542449251295852101497987235 y[1] (analytic) = 136.15159180417466968451519105996 y[1] (numeric) = 136.15159180400926808709978478392 absolute error = 1.6540159741540627604e-10 relative error = 1.2148341067749069454708476297938e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.0857 Order of pole = 1.0e-29 TOP MAIN SOLVE Loop x[1] = -0.084754647691667674170737298474354 y[1] (analytic) = 139.21080797866617487384731381542 y[1] (numeric) = 139.21080797849865845493897107607 absolute error = 1.6751641890834273935e-10 relative error = 1.2033291189144908371060466669952e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.083807752934084052489373098961473 y[1] (analytic) = 142.37430173112647250306558150323 y[1] (numeric) = 142.37430173095664372706572313068 absolute error = 1.6982877599985837255e-10 relative error = 1.1928330740513804863830458716505e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE memory used=194.5MB, alloc=4.4MB, time=11.73 TOP MAIN SOLVE Loop x[1] = -0.082860858176500430808008899448592 y[1] (analytic) = 145.64686673467989003168756999045 y[1] (numeric) = 145.64686673450753036202686444439 absolute error = 1.7235966966070554606e-10 relative error = 1.1834080164229518999177653458432e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 NO POLE TOP MAIN SOLVE Loop x[1] = -0.081913963418916809126644699935711 y[1] (analytic) = 149.03357532017537024967798108643 y[1] (numeric) = 149.03357532000023763854772634658 absolute error = 1.7513261113025473985e-10 relative error = 1.1751218526027418023383632093201e-10 % Correct digits = 11 h = 0.0003156315858612072271213998376274 Real estimate of pole used Radius of convergence = 0.08191 Order of pole = 3.5e-29 TOP MAIN SOLVE Loop x[1] = -0.080900137331844180035623223156515 y[1] (analytic) = 152.79230488087953534922792647662 y[1] (numeric) = 152.79230488070230249041165482153 absolute error = 1.7723285881627165509e-10 relative error = 1.1599593248786092260702252625759e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.0809 Order of pole = 6e-30 TOP MAIN SOLVE Loop x[1] = -0.07994373004346864344367653039666 y[1] (analytic) = 156.47003664270705355000914389553 y[1] (numeric) = 156.47003664252954207476709661067 absolute error = 1.7751147524204728486e-10 relative error = 1.1344758335257982849249392570968e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.07994 Order of pole = 1.2e-29 TOP MAIN SOLVE Loop x[1] = -0.078987322755093106851729837636805 y[1] (analytic) = 160.28216955276894549395694759305 y[1] (numeric) = 160.28216955259112743408259128605 absolute error = 1.7781805987435630700e-10 relative error = 1.1094063698446139558837261903109e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 NO POLE memory used=198.3MB, alloc=4.4MB, time=11.95 TOP MAIN SOLVE Loop x[1] = -0.077839634009042462941393806324979 y[1] (analytic) = 165.04350171409840483510000337117 y[1] (numeric) = 165.04350171392017742404005927783 absolute error = 1.7822741105994409334e-10 relative error = 1.0798814204068689358231251072969e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.076883226720666926349447113565124 y[1] (analytic) = 169.17523795135166332859463129113 y[1] (numeric) = 169.17523795117305596114919290861 absolute error = 1.7860736744543838252e-10 relative error = 1.0557536056003600205799411071966e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.07688 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = -0.075926819432291389757500420805269 y[1] (analytic) = 173.46409098524999017447204255263 y[1] (numeric) = 173.46409098507096311525655634629 absolute error = 1.7902705921548620634e-10 relative error = 1.0320698549114078419871607844185e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.074970412143915853165553728045414 y[1] (analytic) = 177.91812918102753789906725774779 y[1] (numeric) = 177.91812918084804667627860700835 absolute error = 1.7949122278865073944e-10 relative error = 1.0088416712499411207479757874679e-10 % Correct digits = 11 h = 0.00019128145767510731838933855197124 NO POLE memory used=202.1MB, alloc=4.4MB, time=12.17 TOP MAIN SOLVE Loop x[1] = -0.073822723397865209255217696733588 y[1] (analytic) = 183.49315774335526962306274555432 y[1] (numeric) = 183.49315774317515508704925009823 absolute error = 1.8011453601349545609e-10 relative error = 9.8158720591322887305177784312000e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Complex estimate of poles used Radius of convergence = 0.06297 Order of pole = 5.755e-27 TOP MAIN SOLVE Loop x[1] = -0.072866316109489672663271003973733 y[1] (analytic) = 188.34165092736007699614657805599 y[1] (numeric) = 188.34165092717938051229856719243 absolute error = 1.8069648384801086356e-10 relative error = 9.5940798521354251978599184615813e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.071909908821114136071324311213878 y[1] (analytic) = 193.38488379590756925714339228488 y[1] (numeric) = 193.38488379572622643327909593127 absolute error = 1.8134282386429635361e-10 relative error = 9.3773008678217045341601280341686e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.07191 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.070953501532738599479377618454023 y[1] (analytic) = 198.63342666477113342566221448211 y[1] (numeric) = 198.63342666458907174240582149885 absolute error = 1.8206168325639298326e-10 relative error = 9.1657122526337984512392702460567e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.07095 Order of pole = 4.2e-29 memory used=205.9MB, alloc=4.4MB, time=12.39 TOP MAIN SOLVE Loop x[1] = -0.069997094244363062887430925694168 y[1] (analytic) = 204.09857688966350291094044139017 y[1] (numeric) = 204.09857688948064056588904043888 absolute error = 1.8286234505140095129e-10 relative error = 8.9595110283525914803375759075355e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.068849405498312418977094894382342 y[1] (analytic) = 210.95975425701303105991649457435 y[1] (numeric) = 210.95975425682908487864141899954 absolute error = 1.8394618127507557481e-10 relative error = 8.7194916358772999586527078536428e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.06885 Order of pole = 5.1e-29 TOP MAIN SOLVE Loop x[1] = -0.067892998209936882385148201622487 y[1] (analytic) = 216.94518929954740772140066341853 y[1] (numeric) = 216.94518929936244131602418139311 absolute error = 1.8496640537648202542e-10 relative error = 8.5259510005123632109529712625863e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.066936590921561345793201508862632 y[1] (analytic) = 223.18901731984851301013522542887 y[1] (numeric) = 223.18901731966240475305779678926 absolute error = 1.8610825707742863961e-10 relative error = 8.3385938659660817784564816024659e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE memory used=209.8MB, alloc=4.4MB, time=12.61 TOP MAIN SOLVE Loop x[1] = -0.065980183633185809201254816102777 y[1] (analytic) = 229.7063284019575811793535869036 y[1] (numeric) = 229.7063284017701928855820336688 absolute error = 1.8738829377155323480e-10 relative error = 8.1577331837217373026165094991192e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.064832494887135165290918784790951 y[1] (analytic) = 237.91100472488540753195256238563 y[1] (numeric) = 237.91100472469627369300404729591 absolute error = 1.8913383894851508972e-10 relative error = 7.9497726121254851140599729326473e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.06483 Order of pole = 3.8e-29 TOP MAIN SOLVE Loop x[1] = -0.063876087598759628698972092031096 y[1] (analytic) = 245.08875426104056456787556311422 y[1] (numeric) = 245.08875426084977522375656264704 absolute error = 1.9078934411900046718e-10 relative error = 7.7845001372765327334710309566943e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.062919680310384092107025399271241 y[1] (analytic) = 252.5963003146486029094411773074 y[1] (numeric) = 252.59630031445594753242919830494 absolute error = 1.9265537701197900246e-10 relative error = 7.6270070769839578150850863675847e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE memory used=213.6MB, alloc=4.4MB, time=12.83 TOP MAIN SOLVE Loop x[1] = -0.061963273022008555515078706511386 y[1] (analytic) = 260.45416096941559269060041956362 y[1] (numeric) = 260.45416096922083015146821899466 absolute error = 1.9476253913220056896e-10 relative error = 7.4778048623715783879950415752956e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Complex estimate of poles used Radius of convergence = 0.04824 Order of pole = 1.586e-27 TOP MAIN SOLVE Loop x[1] = -0.06081558427595791160474267519956 y[1] (analytic) = 270.37730381548710732858492811629 y[1] (numeric) = 270.3773038152894473385765638508 absolute error = 1.9765999000836426549e-10 relative error = 7.3105244863027729384154793775330e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Complex estimate of poles used Radius of convergence = 0.02705 Order of pole = 2.387e-27 TOP MAIN SOLVE Loop x[1] = -0.059859176987582375012795982439705 y[1] (analytic) = 279.0862995045443428162622431161 y[1] (numeric) = 279.08629950434391133646225868497 absolute error = 2.0043147979998443113e-10 relative error = 7.1817025828858653549166093019274e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.05890276969920683842084928967985 y[1] (analytic) = 288.22295540541420844479790215209 y[1] (numeric) = 288.22295540521062784503501214893 absolute error = 2.0358059976289000316e-10 relative error = 7.0633027642275638053698021251744e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.0589 Order of pole = 1.9e-29 memory used=217.4MB, alloc=4.4MB, time=13.05 TOP MAIN SOLVE Loop x[1] = -0.057946362410831301828902596919995 y[1] (analytic) = 297.81573748368794561972331765631 y[1] (numeric) = 297.81573748348077938981878075317 absolute error = 2.0716622990453690314e-10 relative error = 6.9561881334724252122930123957245e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.05795 Order of pole = 2.3e-29 TOP MAIN SOLVE Loop x[1] = -0.05698995512245576523695590416014 y[1] (analytic) = 307.89552016998459408236617563111 y[1] (numeric) = 307.89552016977333645329548565868 absolute error = 2.1125762907068997243e-10 relative error = 6.8613414366684431956898740096347e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE TOP MAIN SOLVE Loop x[1] = -0.055842266376405121326619872848314 y[1] (analytic) = 320.68151604667509383551482307421 y[1] (numeric) = 320.68151604645814288018838152354 absolute error = 2.1695095532644155067e-10 relative error = 6.7653090206441585904663710285608e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.05584 Order of pole = 1.9e-29 TOP MAIN SOLVE Loop x[1] = -0.054885859088029584734673180088459 y[1] (analytic) = 331.95488758309464133964666571491 y[1] (numeric) = 331.9548875828721775378952136056 absolute error = 2.2246380175145210931e-10 relative error = 6.7016275425607395404263107212115e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.05489 Order of pole = 3e-30 memory used=221.2MB, alloc=4.4MB, time=13.27 TOP MAIN SOLVE Loop x[1] = -0.053929451799654048142726487328604 y[1] (analytic) = 343.83334213424486891305699047244 y[1] (numeric) = 343.83334213401606821973270727019 absolute error = 2.2880069332428320225e-10 relative error = 6.6544068095336491615173303113277e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.05393 Order of pole = 4.4e-29 TOP MAIN SOLVE Loop x[1] = -0.052973044511278511550779794568749 y[1] (analytic) = 356.36097001928138344354201194224 y[1] (numeric) = 356.36097001904528062763795336204 absolute error = 2.3610281590405858020e-10 relative error = 6.6253836914655363032159867306326e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.05297 Order of pole = 1.6e-29 TOP MAIN SOLVE Loop x[1] = -0.051825355765227867640443763256923 y[1] (analytic) = 372.31918548787379573154990540059 y[1] (numeric) = 372.31918548762741663288858109312 absolute error = 2.4637909866132430747e-10 relative error = 6.6174161382115701220594007846715e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.05183 Order of pole = 9e-30 TOP MAIN SOLVE Loop x[1] = -0.050868948476852331048497070497068 y[1] (analytic) = 386.45103906949436194073515056514 y[1] (numeric) = 386.45103906923791634418183630424 absolute error = 2.5644559655331426090e-10 relative error = 6.6359142718516121799953398833111e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 NO POLE memory used=225.0MB, alloc=4.4MB, time=13.49 TOP MAIN SOLVE Loop x[1] = -0.049912541188476794456550377737213 y[1] (analytic) = 401.40302110701173804567791056769 y[1] (numeric) = 401.40302110674359330543428765261 absolute error = 2.6814474024362291508e-10 relative error = 6.6801873963010624353297817733295e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Real estimate of pole used Radius of convergence = 0.04991 Order of pole = 2e-30 TOP MAIN SOLVE Loop x[1] = -0.048956133900101257864603684977358 y[1] (analytic) = 417.23984182497549838477839890231 y[1] (numeric) = 417.23984182469371786453480911585 absolute error = 2.8178052024358978646e-10 relative error = 6.7534423129656820731275416590667e-11 % Correct digits = 12 h = 0.00019128145767510731838933855197124 Complex estimate of poles used Radius of convergence = 0.006744 Order of pole = 1.33e-28 memory used=228.8MB, alloc=4.4MB, time=13.71 TOP MAIN SOLVE Loop x[1] = -0.047944477068702022718760199154578 y[1] (analytic) = 435.03362661795543591685092333086 y[1] (numeric) = 435.03362661767356257025675183514 absolute error = 2.8187334659417149572e-10 relative error = 6.4793461780303110759973693388459e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Real estimate of pole used Radius of convergence = 0.04794 Order of pole = 6.5e-29 TOP MAIN SOLVE Loop x[1] = -0.046932820237302787572916713331798 y[1] (analytic) = 453.99042742849452095996869462328 y[1] (numeric) = 453.99042742821253771741719468532 absolute error = 2.8198324255149993796e-10 relative error = 6.2112156009261568110158903182648e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE memory used=232.7MB, alloc=4.4MB, time=13.93 TOP MAIN SOLVE Loop x[1] = -0.04598860719466350143679612656387 y[1] (analytic) = 472.82397138187938494581887520673 y[1] (numeric) = 472.82397138159728055766559694563 absolute error = 2.8210438815327826110e-10 relative error = 5.9663723759351194098409460000327e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Complex estimate of poles used Radius of convergence = 0.04099 Order of pole = 9.395e-27 memory used=236.5MB, alloc=4.4MB, time=14.15 TOP MAIN SOLVE Loop x[1] = -0.04497695036326426629095264074109 y[1] (analytic) = 494.33343996407930059388487725431 y[1] (numeric) = 494.33343996379704229843658385589 absolute error = 2.8225829544829339842e-10 relative error = 5.7098766263678960220489309872532e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE TOP MAIN SOLVE Loop x[1] = -0.04396529353186503114510915491831 y[1] (analytic) = 517.34474960537304992444896225025 y[1] (numeric) = 517.34474960509060737854298763653 absolute error = 2.8244254590597461372e-10 relative error = 5.4594648176369782185454769844127e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Real estimate of pole used Radius of convergence = 0.04397 Order of pole = 1.9e-29 memory used=240.3MB, alloc=4.4MB, time=14.37 TOP MAIN SOLVE Loop x[1] = -0.04295363670046579599926566909553 y[1] (analytic) = 542.00104121586096563198907616517 y[1] (numeric) = 542.00104121557830159460920216798 absolute error = 2.8266403737987399719e-10 relative error = 5.2151936229823278890810158501254e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE memory used=244.1MB, alloc=4.4MB, time=14.59 TOP MAIN SOLVE Loop x[1] = -0.04194197986906656085342218327275 y[1] (analytic) = 568.46292460407902021743199817873 y[1] (numeric) = 568.46292460379608876284932042923 absolute error = 2.8293145458267774950e-10 relative error = 4.9771311784270331221146888952821e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE TOP MAIN SOLVE Loop x[1] = -0.040997766826427274717301596504822 y[1] (analytic) = 594.94880677992324883503317413593 y[1] (numeric) = 594.9488067796400166987000690492 absolute error = 2.8323213633310508673e-10 relative error = 4.7606135705365843946562349020898e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Real estimate of pole used Radius of convergence = 0.041 Order of pole = 1.0e-29 memory used=247.9MB, alloc=4.4MB, time=14.81 TOP MAIN SOLVE Loop x[1] = -0.039986109995028039571458110682042 y[1] (analytic) = 625.43428885256661801067679189315 y[1] (numeric) = 625.43428885228299585653268547298 absolute error = 2.8362215414410642017e-10 relative error = 4.5348034029992967079885799242933e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Real estimate of pole used Radius of convergence = 0.03999 Order of pole = 2.7e-29 memory used=251.7MB, alloc=4.4MB, time=15.03 TOP MAIN SOLVE Loop x[1] = -0.038974453163628804425614624859262 y[1] (analytic) = 658.32438038011007374024535079751 y[1] (numeric) = 658.32438037982597406413698027291 absolute error = 2.8409967610837052460e-10 relative error = 4.3154968063667054783937339044679e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Real estimate of pole used Radius of convergence = 0.03897 Order of pole = 6.5e-29 TOP MAIN SOLVE Loop x[1] = -0.037962796332229569279771139036482 y[1] (analytic) = 693.87878609179923468353809104206 y[1] (numeric) = 693.87878609151454726699501283057 absolute error = 2.8468741654307821149e-10 relative error = 4.1028407590690407318332910777291e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE memory used=255.5MB, alloc=4.4MB, time=15.25 TOP MAIN SOLVE Loop x[1] = -0.036951139500830334133927653213702 y[1] (analytic) = 732.39324242422704757873304502872 y[1] (numeric) = 732.39324242394163274604085066565 absolute error = 2.8541483269219436307e-10 relative error = 3.8970161951176550532380927267943e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE memory used=259.4MB, alloc=4.4MB, time=15.47 TOP MAIN SOLVE Loop x[1] = -0.035939482669431098988084167390922 y[1] (analytic) = 774.20568720521510394202230240047 y[1] (numeric) = 774.20568720492878354912262854117 absolute error = 2.8632039289967385930e-10 relative error = 3.6982470890036260250654029105106e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 Complex estimate of poles used Radius of convergence = 0.01562 Order of pole = 4.061e-27 memory used=263.2MB, alloc=4.4MB, time=15.69 TOP MAIN SOLVE Loop x[1] = -0.034995269626791812851963580622994 y[1] (analytic) = 816.5472341630748682064020527678 y[1] (numeric) = 816.54723416278749748094510114428 absolute error = 2.8737072545695162352e-10 relative error = 3.5193398916046053818400978027801e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE TOP MAIN SOLVE Loop x[1] = -0.033983612795392577706120094800214 y[1] (analytic) = 865.886375920997601970887311997 y[1] (numeric) = 865.88637592070882331813462316981 absolute error = 2.8877865275268882719e-10 relative error = 3.3350640543977866326633602896166e-11 % Correct digits = 12 h = 6.7443788759949009722899054851774e-05 NO POLE memory used=267.0MB, alloc=4.4MB, time=15.91 TOP MAIN SOLVE Loop x[1] = -0.032965601234757951865400046173238 y[1] (analytic) = 920.19103571931318461311491038711 y[1] (numeric) = 920.19103571902287242851421232788 absolute error = 2.9031218460069805923e-10 relative error = 3.1549121142411594047215383124614e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=270.8MB, alloc=4.4MB, time=16.12 TOP MAIN SOLVE Loop x[1] = -0.031976905087470930865143519775938 y[1] (analytic) = 977.97362906263922478288661351809 y[1] (numeric) = 977.97362906234882473276123950219 absolute error = 2.9040005012537401590e-10 relative error = 2.9694057334011599261577762468910e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Complex estimate of poles used Radius of convergence = 0.01185 Order of pole = 7.182e-27 memory used=274.6MB, alloc=4.4MB, time=16.34 memory used=278.4MB, alloc=4.4MB, time=16.56 TOP MAIN SOLVE Loop x[1] = -0.030988208940183909864886993378638 y[1] (analytic) = 1041.3747635489562073883148498269 y[1] (numeric) = 1041.3747635486656948010065362133 absolute error = 2.905125873083136136e-10 relative error = 2.7897025881274516573628431247357e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=282.2MB, alloc=4.4MB, time=16.78 TOP MAIN SOLVE Loop x[1] = -0.029999512792896888864630466981338 y[1] (analytic) = 1111.1472014053263854697575131248 y[1] (numeric) = 1111.1472014050357276019335059516 absolute error = 2.906578678240071732e-10 relative error = 2.6158358447593339562050243884355e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=286.1MB, alloc=4.4MB, time=17.00 TOP MAIN SOLVE Loop x[1] = -0.028975506068921045685793350355563 y[1] (analytic) = 1191.0717945054718108627946685812 y[1] (numeric) = 1191.0717945051809561127902337148 absolute error = 2.908547500044348664e-10 relative error = 2.4419581703317605769709027215964e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=289.9MB, alloc=4.4MB, time=17.22 memory used=293.7MB, alloc=4.4MB, time=17.44 TOP MAIN SOLVE Loop x[1] = -0.027986809921634024685536823958263 y[1] (analytic) = 1276.7127737319999963180129627777 y[1] (numeric) = 1276.7127737317088906283014669389 absolute error = 2.911056897114958388e-10 relative error = 2.2801188779568287265274892993843e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=297.5MB, alloc=4.4MB, time=17.66 TOP MAIN SOLVE Loop x[1] = -0.026998113774347003685280297560963 y[1] (analytic) = 1371.9337929512358619128680805327 y[1] (numeric) = 1371.9337929509444232611389639945 absolute error = 2.914386517291165382e-10 relative error = 2.1242909331811718106741678515477e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=301.3MB, alloc=4.4MB, time=17.88 TOP MAIN SOLVE Loop x[1] = -0.025974107050371160506443180935188 y[1] (analytic) = 1482.2407465365519542264836042153 y[1] (numeric) = 1482.2407465362600506155498452224 absolute error = 2.919036109337589929e-10 relative error = 1.9693400793078297018498274145312e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.02597 Order of pole = 4e-30 memory used=305.1MB, alloc=4.4MB, time=18.10 memory used=308.9MB, alloc=4.4MB, time=18.32 TOP MAIN SOLVE Loop x[1] = -0.024985410903084139506186654537888 y[1] (analytic) = 1601.8690403026666927328011394438 y[1] (numeric) = 1601.8690403023741771620746409438 absolute error = 2.925155707264985000e-10 relative error = 1.8260891706305083654591890069766e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Complex estimate of poles used Radius of convergence = 0.01076 Order of pole = 3.00e-28 memory used=312.8MB, alloc=4.4MB, time=18.54 TOP MAIN SOLVE Loop x[1] = -0.023996714755797118505930128140588 y[1] (analytic) = 1736.5865044672829081862779350155 y[1] (numeric) = 1736.5865044669895525107074809562 absolute error = 2.933556755704540593e-10 relative error = 1.6892661253315690890884056567155e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.024 Order of pole = 4.5e-29 memory used=316.6MB, alloc=4.4MB, time=18.76 TOP MAIN SOLVE Loop x[1] = -0.022972708031821275327093011514813 y[1] (analytic) = 1894.8533940038771440475368223327 y[1] (numeric) = 1894.8533940035825703691608772521 absolute error = 2.945736783759450806e-10 relative error = 1.5545987848352891635768776955827e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=320.4MB, alloc=4.4MB, time=18.98 memory used=324.2MB, alloc=4.4MB, time=19.20 TOP MAIN SOLVE Loop x[1] = -0.021984011884534254326836485117513 y[1] (analytic) = 2069.1220061972621587921105921441 y[1] (numeric) = 2069.1220061969659157395211494069 absolute error = 2.962430525894427372e-10 relative error = 1.4317331298113894807222016471111e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Complex estimate of poles used Radius of convergence = 0.01623 Order of pole = 2.957e-27 memory used=328.0MB, alloc=4.4MB, time=19.42 TOP MAIN SOLVE Loop x[1] = -0.020995315737247233326579958720213 y[1] (analytic) = 2268.5856452926100560537892282265 y[1] (numeric) = 2268.5856452923114196684611571515 absolute error = 2.986363853280710750e-10 relative error = 1.3163989904800438634559387827281e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.021 Order of pole = 1e-30 memory used=331.8MB, alloc=4.4MB, time=19.64 TOP MAIN SOLVE Loop x[1] = -0.019971309013271390147742842094438 y[1] (analytic) = 2507.1882107457191489950786754282 y[1] (numeric) = 2507.1882107454168709394976883668 absolute error = 3.022780555809870614e-10 relative error = 1.2056456483220290698254665841981e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.01997 Order of pole = 2e-30 memory used=335.7MB, alloc=4.4MB, time=19.85 memory used=339.5MB, alloc=4.4MB, time=20.07 TOP MAIN SOLVE Loop x[1] = -0.018982612865984369147486315697138 y[1] (analytic) = 2775.159944581060111289861232509 y[1] (numeric) = 2775.1599445807525717265143325697 absolute error = 3.075395633468999393e-10 relative error = 1.1081868054034856898764371946372e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.01898 Order of pole = 4.9e-29 memory used=343.3MB, alloc=4.4MB, time=20.29 TOP MAIN SOLVE Loop x[1] = -0.017993916718697348147229789299838 y[1] (analytic) = 3088.5069844143180663325889009485 y[1] (numeric) = 3088.5069844140025396922149754975 absolute error = 3.155266403739254510e-10 relative error = 1.0216154341440144785471281943322e-11 % Correct digits = 12 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.01799 Order of pole = 5.1e-29 memory used=347.1MB, alloc=4.4MB, time=20.51 TOP MAIN SOLVE Loop x[1] = -0.016969909994721504968392672674063 y[1] (analytic) = 3472.4893479391709137335290503781 y[1] (numeric) = 3472.4893479388424235014604074002 absolute error = 3.284902320686429779e-10 relative error = 9.4597909209885150749195585605710e-12 % Correct digits = 13 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=350.9MB, alloc=4.4MB, time=20.73 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=20.95 x[1] = -0.015981213847434483968136146276763 y[1] (analytic) = 3915.4391067599071488151581702957 y[1] (numeric) = 3915.4391067595585407665755737519 absolute error = 3.486080485825965438e-10 relative error = 8.9034215340173089407217625550222e-12 % Correct digits = 13 h = 3.5310576688822178580590228474561e-05 Real estimate of pole used Radius of convergence = 0.01598 Order of pole = 2.3e-29 memory used=358.5MB, alloc=4.4MB, time=21.16 TOP MAIN SOLVE Loop x[1] = -0.014992517700147462967879619879463 y[1] (analytic) = 4448.8817197389516099596064005237 y[1] (numeric) = 4448.8817197385699586353989158528 absolute error = 3.816513242074846709e-10 relative error = 8.5785900423956189622824875198977e-12 % Correct digits = 13 h = 3.5310576688822178580590228474561e-05 NO POLE memory used=362.4MB, alloc=4.4MB, time=21.38 TOP MAIN SOLVE Loop x[1] = -0.013994144001335649926790566106528 y[1] (analytic) = 5106.3117164246536473704281677337 y[1] (numeric) = 5106.311716424248531025945511276 absolute error = 4.051163444826564577e-10 relative error = 7.9336391309520668080030018365324e-12 % Correct digits = 13 h = 2.8788450604688596946686551209698e-05 Complex estimate of poles used Radius of convergence = 0.01263 Order of pole = 3.903e-27 memory used=366.2MB, alloc=4.4MB, time=21.60 memory used=370.0MB, alloc=4.4MB, time=21.81 TOP MAIN SOLVE Loop x[1] = -0.012986548230171549033656536814178 y[1] (analytic) = 5929.42437645032820973751746636 y[1] (numeric) = 5929.4243764498863238698161028515 absolute error = 4.418858677013635085e-10 relative error = 7.4524243779275605557843190844207e-12 % Correct digits = 13 h = 2.8788450604688596946686551209698e-05 Complex estimate of poles used Radius of convergence = 0.0008623 Order of pole = 7.65e-28 memory used=373.8MB, alloc=4.4MB, time=22.03 memory used=377.6MB, alloc=4.4MB, time=22.25 memory used=381.4MB, alloc=4.4MB, time=22.47 memory used=385.2MB, alloc=4.4MB, time=22.70 memory used=389.1MB, alloc=4.4MB, time=22.92 TOP MAIN SOLVE Loop x[1] = -0.011994947209297581141216903513008 y[1] (analytic) = 6950.2962775830807037770299809775 y[1] (numeric) = 6950.2962775826386555736777981393 absolute error = 4.420482033521828382e-10 relative error = 6.3601346719265636881822339553165e-12 % Correct digits = 13 h = 8.6226175728171121081707243578704e-06 Real estimate of pole used Radius of convergence = 0.01199 Order of pole = 3.3e-29 memory used=392.9MB, alloc=4.4MB, time=23.15 memory used=396.7MB, alloc=4.4MB, time=23.37 memory used=400.5MB, alloc=4.4MB, time=23.59 memory used=404.3MB, alloc=4.4MB, time=23.81 memory used=408.1MB, alloc=4.4MB, time=24.04 memory used=411.9MB, alloc=4.4MB, time=24.26 TOP MAIN SOLVE Loop x[1] = -0.01099472357085079613666909948748 y[1] (analytic) = 8272.3970368722241737397676960052 y[1] (numeric) = 8272.3970368717818060489560476741 absolute error = 4.423676908116483311e-10 relative error = 5.3475152224911416913164023723209e-12 % Correct digits = 13 h = 8.6226175728171121081707243578704e-06 Real estimate of pole used Radius of convergence = 0.01099 Order of pole = 2.2e-29 memory used=415.8MB, alloc=4.4MB, time=24.47 memory used=419.6MB, alloc=4.4MB, time=24.70 memory used=423.4MB, alloc=4.4MB, time=24.92 memory used=427.2MB, alloc=4.4MB, time=25.14 memory used=431.0MB, alloc=4.4MB, time=25.37 TOP MAIN SOLVE Loop x[1] = -0.0099944999324040111321212954619521 y[1] (analytic) = 10011.009217074869805502632873549 y[1] (numeric) = 10011.009217074426773085355947392 absolute error = 4.43032417276926157e-10 relative error = 4.4254520964907910904657911057389e-12 % Correct digits = 13 h = 8.6226175728171121081707243578704e-06 NO POLE memory used=434.8MB, alloc=4.4MB, time=25.60 memory used=438.7MB, alloc=4.4MB, time=25.84 memory used=442.5MB, alloc=4.4MB, time=26.08 memory used=446.3MB, alloc=4.4MB, time=26.32 memory used=450.1MB, alloc=4.4MB, time=26.56 memory used=453.9MB, alloc=4.4MB, time=26.80 TOP MAIN SOLVE Loop x[1] = -0.0089942762939572261275734914364357 y[1] (analytic) = 12361.39690208932274876478416063 y[1] (numeric) = 12361.396902088878226389330445752 absolute error = 4.44522375453714878e-10 relative error = 3.5960529297346784980379593092860e-12 % Correct digits = 13 h = 8.6226175728171121081707243578704e-06 Real estimate of pole used Radius of convergence = 0.008994 Order of pole = 1.7e-29 memory used=457.7MB, alloc=4.4MB, time=27.03 memory used=461.5MB, alloc=4.4MB, time=27.26 memory used=465.4MB, alloc=4.4MB, time=27.50 memory used=469.2MB, alloc=4.4MB, time=27.74 memory used=473.0MB, alloc=4.4MB, time=27.98 TOP MAIN SOLVE Loop x[1] = -0.0079940526555104411230256874109193 y[1] (analytic) = 15648.257746540939183278572143838 y[1] (numeric) = 15648.257746540491001274243535249 absolute error = 4.48182004328608589e-10 relative error = 2.8641016245254498446962359657818e-12 % Correct digits = 13 h = 8.6226175728171121081707243578704e-06 Real estimate of pole used Radius of convergence = 0.007994 Order of pole = 4.2e-29 memory used=476.8MB, alloc=4.4MB, time=28.22 memory used=480.6MB, alloc=4.4MB, time=28.46 memory used=484.4MB, alloc=4.4MB, time=28.69 memory used=488.2MB, alloc=4.4MB, time=28.93 memory used=492.1MB, alloc=4.4MB, time=29.17 TOP MAIN SOLVE Loop x[1] = -0.0069938290170636561184778833854029 y[1] (analytic) = 20444.193310550758502907254847359 y[1] (numeric) = 20444.193310550300235016879899925 absolute error = 4.58267890374947434e-10 relative error = 2.2415552593040995747267168978426e-12 % Correct digits = 13 h = 8.6226175728171121081707243578704e-06 NO POLE memory used=495.9MB, alloc=4.4MB, time=29.41 memory used=499.7MB, alloc=4.4MB, time=29.65 memory used=503.5MB, alloc=4.4MB, time=29.88 memory used=507.3MB, alloc=4.4MB, time=30.12 memory used=511.1MB, alloc=4.4MB, time=30.36 memory used=514.9MB, alloc=4.4MB, time=30.59 memory used=518.8MB, alloc=4.4MB, time=30.83 memory used=522.6MB, alloc=4.4MB, time=31.06 memory used=526.4MB, alloc=4.4MB, time=31.30 memory used=530.2MB, alloc=4.4MB, time=31.53 memory used=534.0MB, alloc=4.4MB, time=31.77 TOP MAIN SOLVE Loop x[1] = -0.0059981722011272708106470743339818 y[1] (analytic) = 27794.709578002616883511292332938 y[1] (numeric) = 27794.709578002144853334396033724 absolute error = 4.72030176896299214e-10 relative error = 1.6982734630545481001671240856493e-12 % Correct digits = 13 h = 2.6296612824454192675006610590016e-06 NO POLE memory used=537.8MB, alloc=4.4MB, time=32.01 memory used=541.7MB, alloc=4.4MB, time=32.24 memory used=545.5MB, alloc=4.4MB, time=32.48 memory used=549.3MB, alloc=4.4MB, time=32.71 memory used=553.1MB, alloc=4.4MB, time=32.94 memory used=556.9MB, alloc=4.4MB, time=33.16 memory used=560.7MB, alloc=4.4MB, time=33.38 memory used=564.5MB, alloc=4.4MB, time=33.60 memory used=568.4MB, alloc=4.4MB, time=33.82 memory used=572.2MB, alloc=4.4MB, time=34.04 memory used=576.0MB, alloc=4.4MB, time=34.26 memory used=579.8MB, alloc=4.4MB, time=34.50 memory used=583.6MB, alloc=4.4MB, time=34.73 memory used=587.4MB, alloc=4.4MB, time=34.98 memory used=591.2MB, alloc=4.4MB, time=35.22 memory used=595.1MB, alloc=4.4MB, time=35.46 memory used=598.9MB, alloc=4.4MB, time=35.69 memory used=602.7MB, alloc=4.4MB, time=35.93 TOP MAIN SOLVE Loop x[1] = -0.0049989009137980114889968231315618 y[1] (analytic) = 40017.591179286022038816146760526 y[1] (numeric) = 40017.591179285549677020336703838 absolute error = 4.72361795810056688e-10 relative error = 1.1803853802538755894003535430104e-12 % Correct digits = 13 h = 2.6296612824454192675006610590016e-06 Real estimate of pole used Radius of convergence = 0.004999 Order of pole = 1.1e-29 memory used=606.5MB, alloc=4.4MB, time=36.16 memory used=610.3MB, alloc=4.4MB, time=36.40 memory used=614.1MB, alloc=4.4MB, time=36.64 memory used=617.9MB, alloc=4.4MB, time=36.88 memory used=621.8MB, alloc=4.4MB, time=37.12 memory used=625.6MB, alloc=4.4MB, time=37.36 memory used=629.4MB, alloc=4.4MB, time=37.59 memory used=633.2MB, alloc=4.4MB, time=37.84 memory used=637.0MB, alloc=4.4MB, time=38.08 memory used=640.8MB, alloc=4.4MB, time=38.31 memory used=644.7MB, alloc=4.4MB, time=38.55 memory used=648.5MB, alloc=4.4MB, time=38.79 memory used=652.3MB, alloc=4.4MB, time=39.03 memory used=656.1MB, alloc=4.4MB, time=39.27 memory used=659.9MB, alloc=4.4MB, time=39.50 memory used=663.7MB, alloc=4.4MB, time=39.74 memory used=667.5MB, alloc=4.4MB, time=39.97 memory used=671.4MB, alloc=4.4MB, time=40.21 memory used=675.2MB, alloc=4.4MB, time=40.44 TOP MAIN SOLVE Loop x[1] = -0.0039986843979878038106372905845461 y[1] (analytic) = 62541.13285469345653478507967374 y[1] (numeric) = 62541.132854692982998418499916883 absolute error = 4.73536366579756857e-10 relative error = 7.5715988017031880023800255422567e-13 % Correct digits = 14 h = 1.6937591851654256561694950770508e-06 Complex estimate of poles used Radius of convergence = 0.002479 Order of pole = 1.378e-27 memory used=679.0MB, alloc=4.4MB, time=40.68 memory used=682.8MB, alloc=4.4MB, time=40.92 memory used=686.6MB, alloc=4.4MB, time=41.16 memory used=690.4MB, alloc=4.4MB, time=41.40 memory used=694.2MB, alloc=4.4MB, time=41.64 memory used=698.1MB, alloc=4.4MB, time=41.88 memory used=701.9MB, alloc=4.4MB, time=42.12 memory used=705.7MB, alloc=4.4MB, time=42.36 memory used=709.5MB, alloc=4.4MB, time=42.61 memory used=713.3MB, alloc=4.4MB, time=42.82 memory used=717.1MB, alloc=4.4MB, time=43.04 memory used=720.9MB, alloc=4.4MB, time=43.27 memory used=724.8MB, alloc=4.4MB, time=43.51 memory used=728.6MB, alloc=4.4MB, time=43.75 memory used=732.4MB, alloc=4.4MB, time=43.98 memory used=736.2MB, alloc=4.4MB, time=44.20 memory used=740.0MB, alloc=4.4MB, time=44.42 memory used=743.8MB, alloc=4.4MB, time=44.64 memory used=747.6MB, alloc=4.4MB, time=44.87 memory used=751.5MB, alloc=4.4MB, time=45.09 memory used=755.3MB, alloc=4.4MB, time=45.31 memory used=759.1MB, alloc=4.4MB, time=45.53 memory used=762.9MB, alloc=4.4MB, time=45.76 memory used=766.7MB, alloc=4.4MB, time=45.98 memory used=770.5MB, alloc=4.4MB, time=46.21 memory used=774.4MB, alloc=4.4MB, time=46.44 memory used=778.2MB, alloc=4.4MB, time=46.66 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.4MB, time=46.89 x[1] = -0.0029993664787402026734972884890571 y[1] (analytic) = 111158.05348080803670671235735489 y[1] (numeric) = 111158.05348080756159190891400138 absolute error = 4.7511480344335351e-10 relative error = 4.2742274497041667459738742365376e-13 % Correct digits = 14 h = 1.6937591851654256561694950770508e-06 Real estimate of pole used Radius of convergence = 0.002999 Order of pole = 3.7e-29 memory used=785.8MB, alloc=4.4MB, time=47.12 memory used=789.6MB, alloc=4.4MB, time=47.35 memory used=793.4MB, alloc=4.4MB, time=47.57 memory used=797.2MB, alloc=4.4MB, time=47.80 memory used=801.1MB, alloc=4.4MB, time=48.02 memory used=804.9MB, alloc=4.4MB, time=48.24 memory used=808.7MB, alloc=4.4MB, time=48.46 memory used=812.5MB, alloc=4.4MB, time=48.68 memory used=816.3MB, alloc=4.4MB, time=48.90 memory used=820.1MB, alloc=4.4MB, time=49.12 memory used=823.9MB, alloc=4.4MB, time=49.34 memory used=827.8MB, alloc=4.4MB, time=49.56 memory used=831.6MB, alloc=4.4MB, time=49.78 memory used=835.4MB, alloc=4.4MB, time=50.01 memory used=839.2MB, alloc=4.4MB, time=50.23 memory used=843.0MB, alloc=4.4MB, time=50.45 memory used=846.8MB, alloc=4.4MB, time=50.67 memory used=850.6MB, alloc=4.4MB, time=50.89 memory used=854.5MB, alloc=4.4MB, time=51.11 memory used=858.3MB, alloc=4.4MB, time=51.33 memory used=862.1MB, alloc=4.4MB, time=51.55 memory used=865.9MB, alloc=4.4MB, time=51.77 memory used=869.7MB, alloc=4.4MB, time=51.99 memory used=873.5MB, alloc=4.4MB, time=52.21 memory used=877.4MB, alloc=4.4MB, time=52.43 memory used=881.2MB, alloc=4.4MB, time=52.65 memory used=885.0MB, alloc=4.4MB, time=52.87 TOP MAIN SOLVE Loop x[1] = -0.001998354800307436110701116898491 y[1] (analytic) = 250411.80798322327400386341616531 y[1] (numeric) = 250411.80798322276946517205220428 absolute error = 5.0453869136396103e-10 relative error = 2.0148358634819783706398797600500e-13 % Correct digits = 14 h = 1.6937591851654256561694950770508e-06 NO POLE memory used=888.8MB, alloc=4.4MB, time=53.09 memory used=892.6MB, alloc=4.4MB, time=53.31 memory used=896.4MB, alloc=4.4MB, time=53.53 memory used=900.2MB, alloc=4.4MB, time=53.75 memory used=904.1MB, alloc=4.4MB, time=53.97 memory used=907.9MB, alloc=4.4MB, time=54.19 memory used=911.7MB, alloc=4.4MB, time=54.41 memory used=915.5MB, alloc=4.4MB, time=54.63 memory used=919.3MB, alloc=4.4MB, time=54.85 memory used=923.1MB, alloc=4.4MB, time=55.08 memory used=926.9MB, alloc=4.4MB, time=55.30 memory used=930.8MB, alloc=4.4MB, time=55.52 memory used=934.6MB, alloc=4.4MB, time=55.74 memory used=938.4MB, alloc=4.4MB, time=55.96 memory used=942.2MB, alloc=4.4MB, time=56.18 memory used=946.0MB, alloc=4.4MB, time=56.40 memory used=949.8MB, alloc=4.4MB, time=56.62 memory used=953.6MB, alloc=4.4MB, time=56.84 memory used=957.5MB, alloc=4.4MB, time=57.06 memory used=961.3MB, alloc=4.4MB, time=57.28 memory used=965.1MB, alloc=4.4MB, time=57.50 memory used=968.9MB, alloc=4.4MB, time=57.72 memory used=972.7MB, alloc=4.4MB, time=57.94 memory used=976.5MB, alloc=4.4MB, time=58.16 memory used=980.4MB, alloc=4.4MB, time=58.38 memory used=984.2MB, alloc=4.4MB, time=58.60 memory used=988.0MB, alloc=4.4MB, time=58.82 memory used=991.8MB, alloc=4.4MB, time=59.04 memory used=995.6MB, alloc=4.4MB, time=59.26 memory used=999.4MB, alloc=4.4MB, time=59.48 memory used=1003.2MB, alloc=4.4MB, time=59.70 memory used=1007.1MB, alloc=4.4MB, time=59.93 memory used=1010.9MB, alloc=4.4MB, time=60.15 memory used=1014.7MB, alloc=4.4MB, time=60.37 memory used=1018.5MB, alloc=4.4MB, time=60.59 TOP MAIN SOLVE Loop x[1] = -0.00099930207885384046461309631287482 y[1] (analytic) = 1001397.3049350977427032987178894 y[1] (numeric) = 1001397.3049350965028356892138207 absolute error = 1.2398676095040687e-09 relative error = 1.2381375537898283260156924045643e-13 % Correct digits = 14 h = 8.9616979400026218450374867257943e-07 NO POLE memory used=1022.3MB, alloc=4.4MB, time=60.81 memory used=1026.1MB, alloc=4.4MB, time=61.03 memory used=1029.9MB, alloc=4.4MB, time=61.25 memory used=1033.8MB, alloc=4.4MB, time=61.48 memory used=1037.6MB, alloc=4.4MB, time=61.70 memory used=1041.4MB, alloc=4.4MB, time=61.92 memory used=1045.2MB, alloc=4.4MB, time=62.14 memory used=1049.0MB, alloc=4.4MB, time=62.36 memory used=1052.8MB, alloc=4.4MB, time=62.58 memory used=1056.6MB, alloc=4.4MB, time=62.81 memory used=1060.5MB, alloc=4.4MB, time=63.03 memory used=1064.3MB, alloc=4.4MB, time=63.25 memory used=1068.1MB, alloc=4.4MB, time=63.47 memory used=1071.9MB, alloc=4.4MB, time=63.69 memory used=1075.7MB, alloc=4.4MB, time=63.91 memory used=1079.5MB, alloc=4.4MB, time=64.13 memory used=1083.4MB, alloc=4.4MB, time=64.35 memory used=1087.2MB, alloc=4.4MB, time=64.57 memory used=1091.0MB, alloc=4.4MB, time=64.80 memory used=1094.8MB, alloc=4.4MB, time=65.02 memory used=1098.6MB, alloc=4.4MB, time=65.24 memory used=1102.4MB, alloc=4.4MB, time=65.46 memory used=1106.2MB, alloc=4.4MB, time=65.68 memory used=1110.1MB, alloc=4.4MB, time=65.90 memory used=1113.9MB, alloc=4.4MB, time=66.12 memory used=1117.7MB, alloc=4.4MB, time=66.34 memory used=1121.5MB, alloc=4.4MB, time=66.56 memory used=1125.3MB, alloc=4.4MB, time=66.78 memory used=1129.1MB, alloc=4.4MB, time=67.00 memory used=1132.9MB, alloc=4.4MB, time=67.22 memory used=1136.8MB, alloc=4.4MB, time=67.44 memory used=1140.6MB, alloc=4.4MB, time=67.67 memory used=1144.4MB, alloc=4.4MB, time=67.89 memory used=1148.2MB, alloc=4.4MB, time=68.12 memory used=1152.0MB, alloc=4.4MB, time=68.34 memory used=1155.8MB, alloc=4.4MB, time=68.56 memory used=1159.6MB, alloc=4.4MB, time=68.78 memory used=1163.5MB, alloc=4.4MB, time=69.01 memory used=1167.3MB, alloc=4.4MB, time=69.23 memory used=1171.1MB, alloc=4.4MB, time=69.46 memory used=1174.9MB, alloc=4.4MB, time=69.69 memory used=1178.7MB, alloc=4.4MB, time=69.92 memory used=1182.5MB, alloc=4.4MB, time=70.14 memory used=1186.4MB, alloc=4.4MB, time=70.37 memory used=1190.2MB, alloc=4.4MB, time=70.62 memory used=1194.0MB, alloc=4.4MB, time=70.86 memory used=1197.8MB, alloc=4.4MB, time=71.10 memory used=1201.6MB, alloc=4.4MB, time=71.34 memory used=1205.4MB, alloc=4.4MB, time=71.58 memory used=1209.2MB, alloc=4.4MB, time=71.81 memory used=1213.1MB, alloc=4.4MB, time=72.04 memory used=1216.9MB, alloc=4.4MB, time=72.27 memory used=1220.7MB, alloc=4.4MB, time=72.50 memory used=1224.5MB, alloc=4.4MB, time=72.73 memory used=1228.3MB, alloc=4.4MB, time=72.96 memory used=1232.1MB, alloc=4.4MB, time=73.18 memory used=1235.9MB, alloc=4.4MB, time=73.41 memory used=1239.8MB, alloc=4.4MB, time=73.64 memory used=1243.6MB, alloc=4.4MB, time=73.87 memory used=1247.4MB, alloc=4.4MB, time=74.09 memory used=1251.2MB, alloc=4.4MB, time=74.32 memory used=1255.0MB, alloc=4.4MB, time=74.55 memory used=1258.8MB, alloc=4.4MB, time=74.79 memory used=1262.6MB, alloc=4.4MB, time=75.02 memory used=1266.5MB, alloc=4.4MB, time=75.25 memory used=1270.3MB, alloc=4.4MB, time=75.48 memory used=1274.1MB, alloc=4.4MB, time=75.71 memory used=1277.9MB, alloc=4.4MB, time=75.94 memory used=1281.7MB, alloc=4.4MB, time=76.17 memory used=1285.5MB, alloc=4.4MB, time=76.40 memory used=1289.4MB, alloc=4.4MB, time=76.63 memory used=1293.2MB, alloc=4.4MB, time=77.04 memory used=1297.0MB, alloc=4.4MB, time=77.59 memory used=1300.8MB, alloc=4.4MB, time=78.13 memory used=1304.6MB, alloc=4.4MB, time=78.68 memory used=1308.4MB, alloc=4.4MB, time=79.22 memory used=1312.2MB, alloc=4.4MB, time=79.77 memory used=1316.1MB, alloc=4.4MB, time=80.32 memory used=1319.9MB, alloc=4.4MB, time=80.87 memory used=1323.7MB, alloc=4.4MB, time=81.42 memory used=1327.5MB, alloc=4.4MB, time=81.97 memory used=1331.3MB, alloc=4.4MB, time=82.51 memory used=1335.1MB, alloc=4.4MB, time=83.06 memory used=1338.9MB, alloc=4.4MB, time=83.60 memory used=1342.8MB, alloc=4.4MB, time=84.14 memory used=1346.6MB, alloc=4.4MB, time=84.68 memory used=1350.4MB, alloc=4.4MB, time=85.22 memory used=1354.2MB, alloc=4.4MB, time=85.77 memory used=1358.0MB, alloc=4.4MB, time=86.31 memory used=1361.8MB, alloc=4.4MB, time=86.85 memory used=1365.6MB, alloc=4.4MB, time=87.39 memory used=1369.5MB, alloc=4.4MB, time=87.94 memory used=1373.3MB, alloc=4.4MB, time=88.49 memory used=1377.1MB, alloc=4.4MB, time=89.04 memory used=1380.9MB, alloc=4.4MB, time=89.59 memory used=1384.7MB, alloc=4.4MB, time=90.14 memory used=1388.5MB, alloc=4.4MB, time=90.69 memory used=1392.3MB, alloc=4.4MB, time=91.24 memory used=1396.2MB, alloc=4.4MB, time=91.80 memory used=1400.0MB, alloc=4.4MB, time=92.34 memory used=1403.8MB, alloc=4.4MB, time=92.89 memory used=1407.6MB, alloc=4.4MB, time=93.45 memory used=1411.4MB, alloc=4.4MB, time=94.00 memory used=1415.2MB, alloc=4.4MB, time=94.56 memory used=1419.1MB, alloc=4.4MB, time=95.11 memory used=1422.9MB, alloc=4.4MB, time=95.66 memory used=1426.7MB, alloc=4.4MB, time=96.20 memory used=1430.5MB, alloc=4.4MB, time=96.75 memory used=1434.3MB, alloc=4.4MB, time=97.30 memory used=1438.1MB, alloc=4.4MB, time=97.85 memory used=1441.9MB, alloc=4.4MB, time=98.41 memory used=1445.8MB, alloc=4.4MB, time=98.96 memory used=1449.6MB, alloc=4.4MB, time=99.51 memory used=1453.4MB, alloc=4.4MB, time=100.06 memory used=1457.2MB, alloc=4.4MB, time=100.61 memory used=1461.0MB, alloc=4.4MB, time=101.15 memory used=1464.8MB, alloc=4.4MB, time=101.69 memory used=1468.6MB, alloc=4.4MB, time=102.22 memory used=1472.5MB, alloc=4.4MB, time=102.77 memory used=1476.3MB, alloc=4.4MB, time=103.30 memory used=1480.1MB, alloc=4.4MB, time=103.84 memory used=1483.9MB, alloc=4.4MB, time=104.39 memory used=1487.7MB, alloc=4.4MB, time=104.92 memory used=1491.5MB, alloc=4.4MB, time=105.46 memory used=1495.4MB, alloc=4.4MB, time=106.01 memory used=1499.2MB, alloc=4.4MB, time=106.55 memory used=1503.0MB, alloc=4.4MB, time=107.09 memory used=1506.8MB, alloc=4.4MB, time=107.62 memory used=1510.6MB, alloc=4.4MB, time=108.16 memory used=1514.4MB, alloc=4.4MB, time=108.69 memory used=1518.2MB, alloc=4.4MB, time=109.23 memory used=1522.1MB, alloc=4.4MB, time=109.79 memory used=1525.9MB, alloc=4.4MB, time=110.33 memory used=1529.7MB, alloc=4.4MB, time=110.87 memory used=1533.5MB, alloc=4.4MB, time=111.41 memory used=1537.3MB, alloc=4.4MB, time=111.95 memory used=1541.1MB, alloc=4.4MB, time=112.49 memory used=1544.9MB, alloc=4.4MB, time=113.03 memory used=1548.8MB, alloc=4.4MB, time=113.58 memory used=1552.6MB, alloc=4.4MB, time=114.12 memory used=1556.4MB, alloc=4.4MB, time=114.66 memory used=1560.2MB, alloc=4.4MB, time=115.20 memory used=1564.0MB, alloc=4.4MB, time=115.75 memory used=1567.8MB, alloc=4.4MB, time=116.29 memory used=1571.6MB, alloc=4.4MB, time=116.83 memory used=1575.5MB, alloc=4.4MB, time=117.38 memory used=1579.3MB, alloc=4.4MB, time=117.92 memory used=1583.1MB, alloc=4.4MB, time=118.46 memory used=1586.9MB, alloc=4.4MB, time=119.00 memory used=1590.7MB, alloc=4.4MB, time=119.54 memory used=1594.5MB, alloc=4.4MB, time=120.08 memory used=1598.3MB, alloc=4.4MB, time=120.63 memory used=1602.2MB, alloc=4.4MB, time=121.17 memory used=1606.0MB, alloc=4.4MB, time=121.72 memory used=1609.8MB, alloc=4.4MB, time=122.32 memory used=1613.6MB, alloc=4.4MB, time=122.90 memory used=1617.4MB, alloc=4.4MB, time=123.45 memory used=1621.2MB, alloc=4.4MB, time=124.01 memory used=1625.1MB, alloc=4.4MB, time=124.56 memory used=1628.9MB, alloc=4.4MB, time=125.13 memory used=1632.7MB, alloc=4.4MB, time=125.70 memory used=1636.5MB, alloc=4.4MB, time=126.25 memory used=1640.3MB, alloc=4.4MB, time=126.81 memory used=1644.1MB, alloc=4.4MB, time=127.37 memory used=1647.9MB, alloc=4.4MB, time=127.95 memory used=1651.8MB, alloc=4.4MB, time=128.50 memory used=1655.6MB, alloc=4.4MB, time=129.05 memory used=1659.4MB, alloc=4.4MB, time=129.59 memory used=1663.2MB, alloc=4.4MB, time=130.12 memory used=1667.0MB, alloc=4.4MB, time=130.70 memory used=1670.8MB, alloc=4.4MB, time=131.26 memory used=1674.6MB, alloc=4.4MB, time=131.81 memory used=1678.5MB, alloc=4.4MB, time=132.35 memory used=1682.3MB, alloc=4.4MB, time=132.88 memory used=1686.1MB, alloc=4.4MB, time=133.45 memory used=1689.9MB, alloc=4.4MB, time=134.00 memory used=1693.7MB, alloc=4.4MB, time=134.54 memory used=1697.5MB, alloc=4.4MB, time=135.08 memory used=1701.3MB, alloc=4.4MB, time=135.65 memory used=1705.2MB, alloc=4.4MB, time=136.19 memory used=1709.0MB, alloc=4.4MB, time=136.75 memory used=1712.8MB, alloc=4.4MB, time=137.31 memory used=1716.6MB, alloc=4.4MB, time=137.87 memory used=1720.4MB, alloc=4.4MB, time=138.41 memory used=1724.2MB, alloc=4.4MB, time=138.96 memory used=1728.1MB, alloc=4.4MB, time=139.51 memory used=1731.9MB, alloc=4.4MB, time=140.07 memory used=1735.7MB, alloc=4.4MB, time=140.62 memory used=1739.5MB, alloc=4.4MB, time=141.17 memory used=1743.3MB, alloc=4.4MB, time=141.71 memory used=1747.1MB, alloc=4.4MB, time=142.26 memory used=1750.9MB, alloc=4.4MB, time=142.82 memory used=1754.8MB, alloc=4.4MB, time=143.36 memory used=1758.6MB, alloc=4.4MB, time=143.90 memory used=1762.4MB, alloc=4.4MB, time=144.44 memory used=1766.2MB, alloc=4.4MB, time=144.99 memory used=1770.0MB, alloc=4.4MB, time=145.53 memory used=1773.8MB, alloc=4.4MB, time=146.09 memory used=1777.6MB, alloc=4.4MB, time=146.64 memory used=1781.5MB, alloc=4.4MB, time=147.20 memory used=1785.3MB, alloc=4.4MB, time=147.75 memory used=1789.1MB, alloc=4.4MB, time=148.30 memory used=1792.9MB, alloc=4.4MB, time=148.85 memory used=1796.7MB, alloc=4.4MB, time=149.39 memory used=1800.5MB, alloc=4.4MB, time=149.95 memory used=1804.3MB, alloc=4.4MB, time=150.51 memory used=1808.2MB, alloc=4.4MB, time=151.06 memory used=1812.0MB, alloc=4.4MB, time=151.61 memory used=1815.8MB, alloc=4.4MB, time=152.16 memory used=1819.6MB, alloc=4.4MB, time=152.71 memory used=1823.4MB, alloc=4.4MB, time=153.25 memory used=1827.2MB, alloc=4.4MB, time=153.80 memory used=1831.1MB, alloc=4.4MB, time=154.36 memory used=1834.9MB, alloc=4.4MB, time=154.90 memory used=1838.7MB, alloc=4.4MB, time=155.44 memory used=1842.5MB, alloc=4.4MB, time=155.99 memory used=1846.3MB, alloc=4.4MB, time=156.53 memory used=1850.1MB, alloc=4.4MB, time=157.07 memory used=1853.9MB, alloc=4.4MB, time=157.62 memory used=1857.8MB, alloc=4.4MB, time=158.16 memory used=1861.6MB, alloc=4.4MB, time=158.70 memory used=1865.4MB, alloc=4.4MB, time=159.24 memory used=1869.2MB, alloc=4.4MB, time=159.80 memory used=1873.0MB, alloc=4.4MB, time=160.35 memory used=1876.8MB, alloc=4.4MB, time=160.90 memory used=1880.6MB, alloc=4.4MB, time=161.44 memory used=1884.5MB, alloc=4.4MB, time=161.97 memory used=1888.3MB, alloc=4.4MB, time=162.54 memory used=1892.1MB, alloc=4.4MB, time=163.09 memory used=1895.9MB, alloc=4.4MB, time=163.63 memory used=1899.7MB, alloc=4.4MB, time=164.16 memory used=1903.5MB, alloc=4.4MB, time=164.69 memory used=1907.3MB, alloc=4.4MB, time=165.22 memory used=1911.2MB, alloc=4.4MB, time=165.75 memory used=1915.0MB, alloc=4.4MB, time=166.32 memory used=1918.8MB, alloc=4.4MB, time=166.86 memory used=1922.6MB, alloc=4.4MB, time=167.41 memory used=1926.4MB, alloc=4.4MB, time=167.93 memory used=1930.2MB, alloc=4.4MB, time=168.45 memory used=1934.1MB, alloc=4.4MB, time=168.97 memory used=1937.9MB, alloc=4.4MB, time=169.49 memory used=1941.7MB, alloc=4.4MB, time=170.01 memory used=1945.5MB, alloc=4.4MB, time=170.54 memory used=1949.3MB, alloc=4.4MB, time=171.06 memory used=1953.1MB, alloc=4.4MB, time=171.58 memory used=1956.9MB, alloc=4.4MB, time=172.10 memory used=1960.8MB, alloc=4.4MB, time=172.62 memory used=1964.6MB, alloc=4.4MB, time=173.14 memory used=1968.4MB, alloc=4.4MB, time=173.66 memory used=1972.2MB, alloc=4.4MB, time=174.18 memory used=1976.0MB, alloc=4.4MB, time=174.69 memory used=1979.8MB, alloc=4.4MB, time=175.22 memory used=1983.6MB, alloc=4.4MB, time=175.73 memory used=1987.5MB, alloc=4.4MB, time=176.25 memory used=1991.3MB, alloc=4.4MB, time=176.77 memory used=1995.1MB, alloc=4.4MB, time=177.29 memory used=1998.9MB, alloc=4.4MB, time=177.81 memory used=2002.7MB, alloc=4.4MB, time=178.33 memory used=2006.5MB, alloc=4.4MB, time=178.85 memory used=2010.4MB, alloc=4.4MB, time=179.37 memory used=2014.2MB, alloc=4.4MB, time=179.90 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations = 11362 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 2 Minutes 6 Seconds Optimized Time Remaining = 2 Minutes 6 Seconds Expected Total Time = 5 Minutes 6 Seconds Time to Timeout Unknown Percent Done = 58.82 % > quit memory used=2015.5MB, alloc=4.4MB, time=180.07