|\^/| 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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 <> 0.0) 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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 relerr <> 0. 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := 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))) then # if number 2 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := 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 > array_complex_pole[1,1] := glob_large_float; > array_complex_pole[1,2] := 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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 array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := 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]) then array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := 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 array_complex_pole[1, 1] := glob_large_float; array_complex_pole[1, 2] := 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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 CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_2D0[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_3D0[1]; > #emit pre sqrt 1 $eq_no = 1 > array_tmp3[1] := sqrt(array_tmp2[1]); > array_tmp4_g[1] := sin(array_tmp3[1]); > array_tmp4[1] := cos(array_tmp3[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; > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_2D0[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre sqrt 2 $eq_no = 1 > array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0; > #emit pre cos FULL $eq_no = 1 > array_tmp4_g[2] := (att(1,array_tmp4,array_tmp3,1)); > array_tmp4[2] := (-att(1,array_tmp4_g,array_tmp3,1)); > #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; > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := 0.0; > array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre cos FULL $eq_no = 1 > array_tmp4_g[3] := (att(2,array_tmp4,array_tmp3,1)); > array_tmp4[3] := (-att(2,array_tmp4_g,array_tmp3,1)); > #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 * (2.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := 0.0; > array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre cos FULL $eq_no = 1 > array_tmp4_g[4] := (att(3,array_tmp4,array_tmp3,1)); > array_tmp4[4] := (-att(3,array_tmp4_g,array_tmp3,1)); > #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 * (3.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := 0.0; > array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre cos FULL $eq_no = 1 > array_tmp4_g[5] := (att(4,array_tmp4,array_tmp3,1)); > array_tmp4[5] := (-att(4,array_tmp4_g,array_tmp3,1)); > #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 * (4.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit sqrt LINEAR $eq_no = 1 > array_tmp3[kkk] := 0.0; > array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0; > #emit cos FULL $eq_no = 1 > array_tmp4[kkk] := -att(kkk-1,array_tmp4_g,array_tmp3,1); > array_tmp4_g[kkk] := att(kkk-1,array_tmp4,array_tmp3,1); > #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 - 2; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 1) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary / glob_h; > 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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_const_2D0[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_3D0[1]; array_tmp3[1] := sqrt(array_tmp2[1]); array_tmp4_g[1] := sin(array_tmp3[1]); array_tmp4[1] := cos(array_tmp3[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/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_2D0[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0); array_tmp4_g[2] := att(1, array_tmp4, array_tmp3, 1); array_tmp4[2] := -att(1, array_tmp4_g, array_tmp3, 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/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3[3] := 0.; array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4_g[3] := att(2, array_tmp4, array_tmp3, 1); array_tmp4[3] := -att(2, array_tmp4_g, array_tmp3, 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*2.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := 0.; array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4_g[4] := att(3, array_tmp4, array_tmp3, 1); array_tmp4[4] := -att(3, array_tmp4_g, array_tmp3, 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*3.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := 0.; array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4_g[5] := att(4, array_tmp4, array_tmp3, 1); array_tmp4[5] := -att(4, array_tmp4_g, array_tmp3, 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*4.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3[kkk] := 0.; array_tmp3[kkk] := -ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0); array_tmp4[kkk] := -att(kkk - 1, array_tmp4_g, array_tmp3, 1); array_tmp4_g[kkk] := att(kkk - 1, array_tmp4, array_tmp3, 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 - 2; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 1 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary/glob_h 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 <> 0.0) 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 rel_error <> 0. 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(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0))); > end; exact_soln_y := proc(x) return cos(sqrt(2.0*x + 3.0)) + sqrt(2.0*x + 3.0)*sin(sqrt(2.0*x + 3.0)) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, log10norm, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h; > 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, > array_const_3D0, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > 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/cos_sqrt_linpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := -1.0;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.05;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"glob_display_interval := 0.1;"); > omniout_str(ALWAYS,"glob_max_minutes := 10;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"#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(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0)));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > 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_g:= 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_g[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_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := 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_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_const_3D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_3D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_3D0[1] := 3.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -1.0; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.05; > glob_look_poles := true; > glob_max_iter := 1000000; > glob_display_interval := 0.1; > glob_max_minutes := 10; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > #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(); > 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 := 1; > #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 > display_alot(current_iter) > ; > 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 ) = cos(sqrt(2.0*x + 3.0));"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 3 > logstart(html_log_file); > logitem_str(html_log_file,"2012-12-14T20:27:12-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"cos_sqrt_lin") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 4; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 4 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 4; > log_revs(html_log_file," 151 ") > ; > logitem_str(html_log_file,"cos_sqrt_lin diffeq.mxt") > ; > logitem_str(html_log_file,"cos_sqrt_lin maple results") > ; > logitem_str(html_log_file,"Languages compared") > ; > 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; 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_const_3D0, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, 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/cos_sqrt_linpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := -1.0;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.05;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "glob_display_interval := 0.1;"); omniout_str(ALWAYS, "glob_max_minutes := 10;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "#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(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(\ sqrt(2.0*x+3.0)));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; 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_g := 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_g[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_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4_g[term] := 0.; term := term + 1 end do; array_tmp4 := 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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_const_3D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3D0[term] := 0.; term := term + 1 end do; array_const_3D0[1] := 3.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := -1.0; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.05; glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_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(); 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 := 1; 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; display_alot(current_iter) 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 ) = cos(sqrt(2.0*x + 3.0));"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2012-12-14T20:27:12-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "cos_sqrt_lin"); logitem_str(html_log_file, "diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0));"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 151 "); logitem_str(html_log_file, "cos_sqrt_lin diffeq.mxt"); logitem_str(html_log_file, "cos_sqrt_lin maple results"); logitem_str(html_log_file, "Languages compared"); 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/cos_sqrt_linpostode.ode################# diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -1.0; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.05; glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(cos(sqrt(2.0*x+3.0))+sqrt(2.0*x+3.0)*sin(sqrt(2.0*x+3.0))); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 6 estimated_steps = 6000 step_error = 1.6666666666666666666666666666667e-14 est_needed_step_err = 1.6666666666666666666666666666667e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 3.1193815897435897435897435897436e-104 max_value3 = 3.1193815897435897435897435897436e-104 value3 = 3.1193815897435897435897435897436e-104 best_h = 0.001 START of Soultion x[1] = -1 y[1] (analytic) = 1.3817732906760362240534389290733 y[1] (numeric) = 1.3817732906760362240534389290733 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.999 y[1] (analytic) = 1.3823131722966041549270989688663 y[1] (numeric) = 1.382313172296604154927049823146 absolute error = 4.91457203e-23 relative error = 3.5553246026259206844529835991733e-21 % Correct digits = 22 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.998 y[1] (analytic) = 1.3828522127473197719818940658871 y[1] (numeric) = 1.3828522127473197719817957789458 absolute error = 9.82869413e-23 relative error = 7.1075520864758798935091192696918e-21 % Correct digits = 22 h = 0.001 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.8MB, time=0.34 NO POLE x[1] = -0.997 y[1] (analytic) = 1.3833904123292587128370321162966 y[1] (numeric) = 1.3833904123292587128368846926332 absolute error = 1.474236634e-22 relative error = 1.0656692578328489324935127966179e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.996 y[1] (analytic) = 1.3839277713434345980706814966295 y[1] (numeric) = 1.3839277713434345980704849407426 absolute error = 1.965558869e-22 relative error = 1.4202756167628261391449955500168e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.995 y[1] (analytic) = 1.3844642900907990402240249499006 y[1] (numeric) = 1.3844642900907990402237792662883 absolute error = 2.456836123e-22 relative error = 1.7745752928295971191902714637152e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.994 y[1] (analytic) = 1.3849999688722416528043027335519 y[1] (numeric) = 1.3849999688722416528040079267122 absolute error = 2.948068397e-22 relative error = 2.1285692875506067928792772368100e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.993 y[1] (analytic) = 1.3855348079885900592868451217776 y[1] (numeric) = 1.385534807988590059286501196208 absolute error = 3.439255696e-22 relative error = 2.4822586023608022004219871196060e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=3.8MB, time=0.71 NO POLE x[1] = -0.992 y[1] (analytic) = 1.3860688077406099021160943547545 y[1] (numeric) = 1.3860688077406099021157013149521 absolute error = 3.930398024e-22 relative error = 2.8356442350122765591329627266957e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.991 y[1] (analytic) = 1.3866019684290048517056161273007 y[1] (numeric) = 1.3866019684290048517051739777623 absolute error = 4.421495384e-22 relative error = 3.1887271795881516945828519243964e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.99 y[1] (analytic) = 1.3871342903544166154371007094768 y[1] (numeric) = 1.3871342903544166154366094546989 absolute error = 4.912547779e-22 relative error = 3.5415084272373012779293243721757e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.989 y[1] (analytic) = 1.3876657738174249466583537916374 y[1] (numeric) = 1.3876657738174249466578134361162 absolute error = 5.403555212e-22 relative error = 3.8939889661867132302805653413902e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.988 y[1] (analytic) = 1.3881964191185476536802771464327 y[1] (numeric) = 1.3881964191185476536796876946639 absolute error = 5.894517688e-22 relative error = 4.2461697831945109887754289160269e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.0MB, time=1.09 NO POLE x[1] = -0.987 y[1] (analytic) = 1.3887262265582406087728392002539 y[1] (numeric) = 1.3887262265582406087722006567329 absolute error = 6.385435210e-22 relative error = 4.5980518606791118022173843585906e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.986 y[1] (analytic) = 1.3892551964368977571600356066081 y[1] (numeric) = 1.3892551964368977571593479758301 absolute error = 6.876307780e-22 relative error = 4.9496361774539766092853869164327e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.985 y[1] (analytic) = 1.3897833290548511260138399139021 y[1] (numeric) = 1.3897833290548511260131032003618 absolute error = 7.367135403e-22 relative error = 5.3009237116192508058961041705299e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.984 y[1] (analytic) = 1.3903106247123708334471444201061 y[1] (numeric) = 1.3903106247123708334463586282979 absolute error = 7.857918082e-22 relative error = 5.6519154369734142875905028073359e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.983 y[1] (analytic) = 1.3908370837096650975056913067624 y[1] (numeric) = 1.3908370837096650975048564411803 absolute error = 8.348655821e-22 relative error = 6.0026123251850019438680160513443e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=15.2MB, alloc=4.1MB, time=1.49 x[1] = -0.982 y[1] (analytic) = 1.3913627063468802451589941447964 y[1] (numeric) = 1.3913627063468802451581102099341 absolute error = 8.839348623e-22 relative error = 6.3530153443657591321464913988245e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.981 y[1] (analytic) = 1.3918874929241007212902498645799 y[1] (numeric) = 1.3918874929241007212893168649309 absolute error = 9.329996490e-22 relative error = 6.7031254590838990945983237490213e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.98 y[1] (analytic) = 1.3924114437413490976852412826912 y[1] (numeric) = 1.3924114437413490976842592227483 absolute error = 9.820599429e-22 relative error = 7.0529436346863651855239724200675e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.979 y[1] (analytic) = 1.3929345590985860820202302778048 y[1] (numeric) = 1.3929345590985860820191991620608 absolute error = 1.0311157440e-21 relative error = 7.4024708286889588211663490731552e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.978 y[1] (analytic) = 1.3934568392957105268488417081443 y[1] (numeric) = 1.3934568392957105268477615410914 absolute error = 1.0801670529e-21 relative error = 7.7517080001268258465981200027169e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.977 y[1] (analytic) = 1.3939782846325594385879381629148 y[1] (numeric) = 1.393978284632559438586808949045 absolute error = 1.1292138698e-21 relative error = 8.1006561023843421105129678098585e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.1MB, time=1.87 NO POLE x[1] = -0.976 y[1] (analytic) = 1.3944988954089079865024856401343 y[1] (numeric) = 1.3944988954089079865013073839393 absolute error = 1.1782561950e-21 relative error = 8.4493160867976214291833651321973e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.975 y[1] (analytic) = 1.3950186719244695116894102432682 y[1] (numeric) = 1.3950186719244695116881829492391 absolute error = 1.2272940291e-21 relative error = 8.7976889040984060311783481734523e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.974 y[1] (analytic) = 1.3955376144788955360604459890678 y[1] (numeric) = 1.3955376144788955360591696616957 absolute error = 1.2763273721e-21 relative error = 9.1457754979724458650170020988590e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.973 y[1] (analytic) = 1.3960557233717757713239738190078 y[1] (numeric) = 1.3960557233717757713226484627831 absolute error = 1.3253562247e-21 relative error = 9.4935768143908953104205215625093e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.972 y[1] (analytic) = 1.3965729989026381279658519067054 y[1] (numeric) = 1.3965729989026381279644775261184 absolute error = 1.3743805870e-21 relative error = 9.8410937923039047058666082259072e-20 % Correct digits = 21 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.971 y[1] (analytic) = 1.3970894413709487242292373537032 y[1] (numeric) = 1.3970894413709487242278139532438 absolute error = 1.4234004594e-21 relative error = 1.0188327370101892395614263368323e-19 % memory used=22.8MB, alloc=4.2MB, time=2.26 Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.97 y[1] (analytic) = 1.3976050510761118950933993659855 y[1] (numeric) = 1.3976050510761118950919269501431 absolute error = 1.4724158424e-21 relative error = 1.0535278484191840538240472588413e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.969 y[1] (analytic) = 1.3981198283174702012515240035925 y[1] (numeric) = 1.3981198283174702012500025768564 absolute error = 1.5214267361e-21 relative error = 1.0881948065430988049515732873212e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.968 y[1] (analytic) = 1.3986337733943044380875105956917 y[1] (numeric) = 1.3986337733943044380859401625507 absolute error = 1.5704331410e-21 relative error = 1.1228337044863149369172323452578e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.967 y[1] (analytic) = 1.3991468866058336446517599134539 y[1] (numeric) = 1.3991468866058336446501404783965 absolute error = 1.6194350574e-21 relative error = 1.1574446349436259963412285455817e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.966 y[1] (analytic) = 1.3996591682512151126359541930794 y[1] (numeric) = 1.3996591682512151126342857605937 absolute error = 1.6684324857e-21 relative error = 1.1920276904159460551520366829636e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.2MB, time=2.66 NO POLE x[1] = -0.965 y[1] (analytic) = 1.400170618629544395346829101309 y[1] (numeric) = 1.4001706186295443953451116758828 absolute error = 1.7174254262e-21 relative error = 1.2265829630684419705287342983717e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.964 y[1] (analytic) = 1.400681238039855316678937735749 y[1] (numeric) = 1.4006812380398553166771713218697 absolute error = 1.7664138793e-21 relative error = 1.2611105448745491369727886123953e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.963 y[1] (analytic) = 1.4011910267811199800864067523315 y[1] (numeric) = 1.4011910267811199800845913544863 absolute error = 1.8153978452e-21 relative error = 1.2956105274028301767294949421481e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.962 y[1] (analytic) = 1.4016999851522487775536847122257 y[1] (numeric) = 1.4016999851522487775518203349013 absolute error = 1.8643773244e-21 relative error = 1.3300830021750314057925287801412e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.961 y[1] (analytic) = 1.4022081134520903985652827405057 y[1] (numeric) = 1.4022081134520903985633693881885 absolute error = 1.9133523172e-21 relative error = 1.3645280603101958841403817907106e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.96 y[1] (analytic) = 1.4027154119794318390745075888768 y[1] (numeric) = 1.4027154119794318390725452660528 absolute error = 1.9623228240e-21 relative error = 1.3989457927398702754048832001835e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.2MB, time=3.05 NO POLE x[1] = -0.959 y[1] (analytic) = 1.4032218810329984104711871947522 y[1] (numeric) = 1.4032218810329984104691759059072 absolute error = 2.0112888450e-21 relative error = 1.4333362899952542720929021743610e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.958 y[1] (analytic) = 1.4037275209114537485483888289674 y[1] (numeric) = 1.4037275209114537485463285785867 absolute error = 2.0602503807e-21 relative error = 1.4676996425647191550688244006808e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.957 y[1] (analytic) = 1.4042323319133998224681299244092 y[1] (numeric) = 1.4042323319133998224660207169778 absolute error = 2.1092074314e-21 relative error = 1.5020359405384183812610550804149e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.956 y[1] (analytic) = 1.4047363143373769437260816778327 y[1] (numeric) = 1.4047363143373769437239235178353 absolute error = 2.1581599974e-21 relative error = 1.5363452737519765770314868133589e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.955 y[1] (analytic) = 1.4052394684818637751152655171305 y[1] (numeric) = 1.4052394684818637751130584090515 absolute error = 2.2071080790e-21 relative error = 1.5706277317875414184282849764246e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.3MB, time=3.45 NO POLE x[1] = -0.954 y[1] (analytic) = 1.405741794645277339688742526311 y[1] (numeric) = 1.4057417946452773396864864746343 absolute error = 2.2560516767e-21 relative error = 1.6048834041171042443095363206226e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.953 y[1] (analytic) = 1.4062432931259730297212959204358 y[1] (numeric) = 1.406243293125973029718990929645 absolute error = 2.3049907908e-21 relative error = 1.6391123798188426612894336812199e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.952 y[1] (analytic) = 1.4067439642222446156701066627611 y[1] (numeric) = 1.4067439642222446156677527373395 absolute error = 2.3539254216e-21 relative error = 1.6733147477205843600106019292580e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.951 y[1] (analytic) = 1.4072438082323242551344223163168 y[1] (numeric) = 1.4072438082323242551320194607473 absolute error = 2.4028555695e-21 relative error = 1.7074905964719004249657606340441e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.95 y[1] (analytic) = 1.407742825454382501814219222154 y[1] (numeric) = 1.4077428254543825018117674409193 absolute error = 2.4517812347e-21 relative error = 1.7416400143318999001313458667815e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.949 y[1] (analytic) = 1.4082410161865283144678580964819 y[1] (numeric) = 1.4082410161865283144653573940642 absolute error = 2.5007024177e-21 relative error = 1.7757630895255573950819804699659e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=3.84 NO POLE x[1] = -0.948 y[1] (analytic) = 1.4087383807268090658687331389083 y[1] (numeric) = 1.4087383807268090658661835197894 absolute error = 2.5496191189e-21 relative error = 1.8098599099604125284699087296850e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.947 y[1] (analytic) = 1.4092349193732105517609147439919 y[1] (numeric) = 1.4092349193732105517583162126534 absolute error = 2.5985313385e-21 relative error = 1.8439305631567490679781086439059e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.946 y[1] (analytic) = 1.4097306324236569998137859083067 y[1] (numeric) = 1.4097306324236569998111384692299 absolute error = 2.6474390768e-21 relative error = 1.8779751364616603492813709361629e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.945 y[1] (analytic) = 1.4102255201760110785756724252115 y[1] (numeric) = 1.4102255201760110785729760828771 absolute error = 2.6963423344e-21 relative error = 1.9119937171917495320941085876713e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.944 y[1] (analytic) = 1.4107195829280739064264669595097 y[1] (numeric) = 1.4107195829280739064237217183983 absolute error = 2.7452411114e-21 relative error = 1.9459863920666699920111687144847e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=4.24 NO POLE x[1] = -0.943 y[1] (analytic) = 1.4112128209775850605292470941806 y[1] (numeric) = 1.4112128209775850605264529587723 absolute error = 2.7941354083e-21 relative error = 1.9799532478484905518056121329499e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.942 y[1] (analytic) = 1.4117052346222225857808874413513 y[1] (numeric) = 1.4117052346222225857780444161259 absolute error = 2.8430252254e-21 relative error = 2.0138943709171722437903374969857e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.941 y[1] (analytic) = 1.4121968241596030037616659096763 y[1] (numeric) = 1.4121968241596030037587739991134 absolute error = 2.8919105629e-21 relative error = 2.0478098473426133390251842054868e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.94 y[1] (analytic) = 1.4126875898872813216838642202808 y[1] (numeric) = 1.4126875898872813216809234288594 absolute error = 2.9407914214e-21 relative error = 2.0816997632396887169960843834583e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.939 y[1] (analytic) = 1.413177532102751041339362763418 y[1] (numeric) = 1.413177532102751041336373095617 absolute error = 2.9896678010e-21 relative error = 2.1155642041318723534625017657726e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.938 y[1] (analytic) = 1.4136666511034441680462298879858 y[1] (numeric) = 1.4136666511034441680431913482835 absolute error = 3.0385397023e-21 relative error = 2.1494032556602035655026372123922e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.3MB, time=4.63 NO POLE x[1] = -0.937 y[1] (analytic) = 1.414154947186731219594305716036 y[1] (numeric) = 1.4141549471867312195912183089104 absolute error = 3.0874071256e-21 relative error = 2.1832170030179339509020832709685e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.936 y[1] (analytic) = 1.4146424206499212351897805744073 y[1] (numeric) = 1.4146424206499212351866443043363 absolute error = 3.1362700710e-21 relative error = 2.2170055310225470453906301129246e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.935 y[1] (analytic) = 1.4151290717902617843987681356039 y[1] (numeric) = 1.4151290717902617843955830070648 absolute error = 3.1851285391e-21 relative error = 2.2507689246116146909168605013365e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.934 y[1] (analytic) = 1.4156149009049389760898733600325 y[1] (numeric) = 1.4156149009049389760866393775024 absolute error = 3.2339825301e-21 relative error = 2.2845072682073778199413850587223e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.933 y[1] (analytic) = 1.4160999082910774673757553317082 y[1] (numeric) = 1.4160999082910774673724724996637 absolute error = 3.2828320445e-21 relative error = 2.3182206462124974627724354932321e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.932 y[1] (analytic) = 1.4165840942457404725536850795271 y[1] (numeric) = 1.4165840942457404725503534024447 absolute error = 3.3316770824e-21 relative error = 2.3519091425164913195154548691012e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=5.03 NO POLE x[1] = -0.931 y[1] (analytic) = 1.4170674590659297720450984762017 y[1] (numeric) = 1.4170674590659297720417179585573 absolute error = 3.3805176444e-21 relative error = 2.3855728411322722543635598144271e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.93 y[1] (analytic) = 1.4175500030485857213341443069425 y[1] (numeric) = 1.4175500030485857213307149532118 absolute error = 3.4293537307e-21 relative error = 2.4192118255615853914925343801448e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.929 y[1] (analytic) = 1.4180317264905872599052275999676 y[1] (numeric) = 1.4180317264905872599017494146259 absolute error = 3.4781853417e-21 relative error = 2.4528261792195435870754808464934e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.928 y[1] (analytic) = 1.4185126296887519201795483109105 y[1] (numeric) = 1.4185126296887519201760212984327 absolute error = 3.5270124778e-21 relative error = 2.4864159852943235345445846644632e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.927 y[1] (analytic) = 1.4189927129398358364506354531919 y[1] (numeric) = 1.4189927129398358364470596180527 absolute error = 3.5758351392e-21 relative error = 2.5199813266071455637385904899414e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.3MB, time=5.43 NO POLE x[1] = -0.926 y[1] (analytic) = 1.4194719765405337538188767664132 y[1] (numeric) = 1.4194719765405337538152521130868 absolute error = 3.6246533264e-21 relative error = 2.5535222859656758826401895189506e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.925 y[1] (analytic) = 1.4199504207874790371250440148217 y[1] (numeric) = 1.4199504207874790371213705477821 absolute error = 3.6734670396e-21 relative error = 2.5870389457420358817895012116784e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.924 y[1] (analytic) = 1.4204280459772436798828140078923 y[1] (numeric) = 1.420428045977243679879091731613 absolute error = 3.7222762793e-21 relative error = 2.6205313882964780963985615931872e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.923 y[1] (analytic) = 1.4209048524063383132102854350605 y[1] (numeric) = 1.4209048524063383132065143540148 absolute error = 3.7710810457e-21 relative error = 2.6539996955556727456704446937266e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.922 y[1] (analytic) = 1.4213808403712122147604916066378 y[1] (numeric) = 1.4213808403712122147566717252986 absolute error = 3.8198813392e-21 relative error = 2.6874439493657364760251464344995e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.921 y[1] (analytic) = 1.42185601016825331765090919293 y[1] (numeric) = 1.4218560101682533176470405157698 absolute error = 3.8686771602e-21 relative error = 2.7208642313522348625141694538516e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.3MB, time=5.85 NO POLE x[1] = -0.92 y[1] (analytic) = 1.4223303620937882193919630535745 y[1] (numeric) = 1.4223303620937882193880455850655 absolute error = 3.9174685090e-21 relative error = 2.7542606228507711490738936128252e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.919 y[1] (analytic) = 1.422803896444082190814527249104 y[1] (numeric) = 1.422803896444082190810560993718 absolute error = 3.9662553860e-21 relative error = 2.7876332050485626018518521525038e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.918 y[1] (analytic) = 1.4232766135153391849964223267382 y[1] (numeric) = 1.4232766135153391849924072889467 absolute error = 4.0150377915e-21 relative error = 2.8209820588446902309252290418275e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.917 y[1] (analytic) = 1.4237485136037018461879089723956 y[1] (numeric) = 1.4237485136037018461838451566699 absolute error = 4.0638157257e-21 relative error = 2.8543072648510990470279989996667e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.916 y[1] (analytic) = 1.4242195970052515187361781209145 y[1] (numeric) = 1.4242195970052515187320655317253 absolute error = 4.1125891892e-21 relative error = 2.8876089037446629571543735318942e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.3MB, time=6.27 NO POLE x[1] = -0.915 y[1] (analytic) = 1.4246898640160082560088376164594 y[1] (numeric) = 1.4246898640160082560046762582772 absolute error = 4.1613581822e-21 relative error = 2.9208870557060702807382065341011e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.914 y[1] (analytic) = 1.4251593149319308293163955150884 y[1] (numeric) = 1.4251593149319308293121853923833 absolute error = 4.2101227051e-21 relative error = 2.9541418008421647810407049416571e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.913 y[1] (analytic) = 1.4256279500489167368337401214444 y[1] (numeric) = 1.4256279500489167368294812386861 absolute error = 4.2588827583e-21 relative error = 2.9873732190462928637305051502103e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.912 y[1] (analytic) = 1.4260957696628022125206168515294 y[1] (numeric) = 1.4260957696628022125163092131874 absolute error = 4.3076383420e-21 relative error = 3.0205813898589246650397325392343e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.911 y[1] (analytic) = 1.4265627740693622350411020135129 y[1] (numeric) = 1.4265627740693622350367456240563 absolute error = 4.3563894566e-21 relative error = 3.0537663927491381025659064613601e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.91 y[1] (analytic) = 1.4270289635643105366820735985177 y[1] (numeric) = 1.4270289635643105366776684624151 absolute error = 4.4051361026e-21 relative error = 3.0869283070451695032291054646727e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=6.68 NO POLE x[1] = -0.909 y[1] (analytic) = 1.4274943384432996122706791733197 y[1] (numeric) = 1.4274943384432996122662252950396 absolute error = 4.4538782801e-21 relative error = 3.1200672115848878518255531579478e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.908 y[1] (analytic) = 1.427958899001920728090800966893 y[1] (numeric) = 1.4279588990019207280862983509034 absolute error = 4.5026159896e-21 relative error = 3.1531831852773401095493271218250e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.907 y[1] (analytic) = 1.4284226455357039307985182427201 y[1] (numeric) = 1.4284226455357039307939668934888 absolute error = 4.5513492313e-21 relative error = 3.1862763066130887738321899799074e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.906 y[1] (analytic) = 1.4288855783401180563365670487856 y[1] (numeric) = 1.4288855783401180563319669707799 absolute error = 4.6000780057e-21 relative error = 3.2193466540853014847483307711362e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.905 y[1] (analytic) = 1.4293476977105707388477974371591 y[1] (numeric) = 1.4293476977105707388431486348459 absolute error = 4.6488023132e-21 relative error = 3.2523943059104000326555098019226e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.904 y[1] (analytic) = 1.4298090039424084195876282450698 y[1] (numeric) = 1.429809003942408419582930722916 absolute error = 4.6975221538e-21 relative error = 3.2854193398191892293451791417589e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=7.10 NO POLE x[1] = -0.903 y[1] (analytic) = 1.430269497330916355835499529368 y[1] (numeric) = 1.4302694973309163558307532918396 absolute error = 4.7462375284e-21 relative error = 3.3184218339670568668910558965844e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.902 y[1] (analytic) = 1.4307291781713186298053227462566 y[1] (numeric) = 1.4307291781713186298005277978197 absolute error = 4.7949484369e-21 relative error = 3.3514018656057928137517952866345e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.901 y[1] (analytic) = 1.4311880467587781575549287681777 y[1] (numeric) = 1.431188046758778157550085113298 absolute error = 4.8436548797e-21 relative error = 3.3843595121336151272463590160967e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.9 y[1] (analytic) = 1.4316461033883966978945138297226 y[1] (numeric) = 1.4316461033883966978896214728653 absolute error = 4.8923568573e-21 relative error = 3.4172948508160287739847458413629e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.899 y[1] (analytic) = 1.4321033483552148612940834944332 y[1] (numeric) = 1.4321033483552148612891424400633 absolute error = 4.9410543699e-21 relative error = 3.4502079585072200100625104213290e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.3MB, time=7.51 NO POLE x[1] = -0.898 y[1] (analytic) = 1.4325597819542121187898947343527 y[1] (numeric) = 1.4325597819542121187849049869347 absolute error = 4.9897474180e-21 relative error = 3.4830989120700330530631283346303e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.897 y[1] (analytic) = 1.4330154044803068108898962141766 y[1] (numeric) = 1.4330154044803068108848577781748 absolute error = 5.0384360018e-21 relative error = 3.5159677879577467016358826546702e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.896 y[1] (analytic) = 1.4334702162283561564781668718496 y[1] (numeric) = 1.4334702162283561564730797517279 absolute error = 5.0871201217e-21 relative error = 3.5488146625640154379067466614896e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.895 y[1] (analytic) = 1.4339242174931562617183528874436 y[1] (numeric) = 1.4339242174931562617132170876655 absolute error = 5.1357997781e-21 relative error = 3.5816396120839711001842276836853e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.894 y[1] (analytic) = 1.4343774085694421289561031321488 y[1] (numeric) = 1.4343774085694421289509186571775 absolute error = 5.1844749713e-21 relative error = 3.6144427124453036887452665355514e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.893 y[1] (analytic) = 1.4348297897518876656205031891995 y[1] (numeric) = 1.434829789751887665615270043498 absolute error = 5.2331457015e-21 relative error = 3.6472240393091652149193352197253e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=7.94 NO POLE x[1] = -0.892 y[1] (analytic) = 1.4352813613351056931245080385519 y[1] (numeric) = 1.4352813613351056931192262265825 absolute error = 5.2818119694e-21 relative error = 3.6799836684891057552611027075592e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.891 y[1] (analytic) = 1.4357321236136479557643734971202 y[1] (numeric) = 1.4357321236136479557590430233452 absolute error = 5.3304737750e-21 relative error = 3.7127216751155019840308272938594e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.89 y[1] (analytic) = 1.4361820768820051296180865063764 y[1] (numeric) = 1.4361820768820051296127073752575 absolute error = 5.3791311189e-21 relative error = 3.7454381345422837268904259142705e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.889 y[1] (analytic) = 1.4366312214346068314427943591039 y[1] (numeric) = 1.4366312214346068314373665751027 absolute error = 5.4277840012e-21 relative error = 3.7781331215813787018209617898948e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.012 Order of pole = 29.53 x[1] = -0.888 y[1] (analytic) = 1.4370795575658216275712329570968 y[1] (numeric) = 1.4370795575658216275657565246743 absolute error = 5.4764324225e-21 relative error = 3.8108067111998888063714216531693e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.3MB, time=8.31 NO POLE x[1] = -0.887 y[1] (analytic) = 1.4375270855699570428071541915812 y[1] (numeric) = 1.4375270855699570428016291151983 absolute error = 5.5250763829e-21 relative error = 3.8434589778246811167724447654282e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.886 y[1] (analytic) = 1.4379738057412595693197525381351 y[1] (numeric) = 1.4379738057412595693141788222522 absolute error = 5.5737158829e-21 relative error = 3.8760899959695797093765473657325e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.885 y[1] (analytic) = 1.4384197183739146755370909578705 y[1] (numeric) = 1.4384197183739146755314686069478 absolute error = 5.6223509227e-21 relative error = 3.9086998397490542239969161541470e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.884 y[1] (analytic) = 1.4388648237620468150385261966386 y[1] (numeric) = 1.4388648237620468150328552151358 absolute error = 5.6709815028e-21 relative error = 3.9412885832963014816516564431001e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.883 y[1] (analytic) = 1.4393091221997194354461335740085 y[1] (numeric) = 1.4393091221997194354404139663849 absolute error = 5.7196076236e-21 relative error = 3.9738563004857712998798883569619e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.882 y[1] (analytic) = 1.4397526139809349873151313537651 y[1] (numeric) = 1.4397526139809349873093631244798 absolute error = 5.7682292853e-21 relative error = 4.0064030648645741060987160166481e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.3MB, time=8.69 NO POLE x[1] = -0.881 y[1] (analytic) = 1.4401952993996349330233047876643 y[1] (numeric) = 1.4401952993996349330174879411761 absolute error = 5.8168464882e-21 relative error = 4.0389289498617526730561225986011e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.88 y[1] (analytic) = 1.4406371787496997556594299241749 y[1] (numeric) = 1.4406371787496997556535644649421 absolute error = 5.8654592328e-21 relative error = 4.0714340288583381980312988217882e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.879 y[1] (analytic) = 1.4410782523249489679106972739317 y[1] (numeric) = 1.4410782523249489679047832064122 absolute error = 5.9140675195e-21 relative error = 4.1039183749797064869317023421266e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.878 y[1] (analytic) = 1.4415185204191411209491354236153 y[1] (numeric) = 1.441518520419141120943172752267 absolute error = 5.9626713483e-21 relative error = 4.1363820608883139332302003053824e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.877 y[1] (analytic) = 1.44195798332597381331703468997 y[1] (numeric) = 1.4419579833259738133110234192502 absolute error = 6.0112707198e-21 relative error = 4.1688251594783619750679261394391e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.876 y[1] (analytic) = 1.4423966413390836998113709056588 y[1] (numeric) = 1.4423966413390836998053110400245 absolute error = 6.0598656343e-21 relative error = 4.2012477432519377112123769051575e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.3MB, time=9.08 NO POLE x[1] = -0.875 y[1] (analytic) = 1.4428344947520465003672294286534 y[1] (numeric) = 1.4428344947520465003611209725611 absolute error = 6.1084560923e-21 relative error = 4.2336498846666043322751027303642e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.874 y[1] (analytic) = 1.4432715438583770089402294668455 y[1] (numeric) = 1.4432715438583770089340724247517 absolute error = 6.1570420938e-21 relative error = 4.2660316556509120525062795828711e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.873 y[1] (analytic) = 1.4437077889515291023879488095624 y[1] (numeric) = 1.4437077889515291023817431859228 absolute error = 6.2056236396e-21 relative error = 4.2983931285061086369384157882955e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.872 y[1] (analytic) = 1.4441432303248957493503490576566 y[1] (numeric) = 1.444143230324895749344094856927 absolute error = 6.2542007296e-21 relative error = 4.3307343747288576148261640406467e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.871 y[1] (analytic) = 1.4445778682718090191292014438425 y[1] (numeric) = 1.444577868271809019122898670478 absolute error = 6.3027733645e-21 relative error = 4.3630554661897133352237356059680e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.3MB, time=9.45 NO POLE x[1] = -0.87 y[1] (analytic) = 1.4450117030855400905665133349323 y[1] (numeric) = 1.445011703085540090560161993388 absolute error = 6.3513415443e-21 relative error = 4.3953564740949511944082899596619e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.869 y[1] (analytic) = 1.4454447350592992609219555076311 y[1] (numeric) = 1.4454447350592992609155556023615 absolute error = 6.3999052696e-21 relative error = 4.4276374698873868535730083966807e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.868 y[1] (analytic) = 1.44587696448623595474929028953 y[1] (numeric) = 1.4458769644862359547428418249894 absolute error = 6.4484645406e-21 relative error = 4.4598985245548437846390119611291e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.867 y[1] (analytic) = 1.4463083916594387327718006569409 y[1] (numeric) = 1.446308391659438732765303637583 absolute error = 6.4970193579e-21 relative error = 4.4921397091844080179588399026634e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.866 y[1] (analytic) = 1.4467390168719353007567203812001 y[1] (numeric) = 1.4467390168719353007501748114786 absolute error = 6.5455697215e-21 relative error = 4.5243610942715115443699107705286e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.865 y[1] (analytic) = 1.4471688404166925183886653150684 y[1] (numeric) = 1.4471688404166925183820711994364 absolute error = 6.5941156320e-21 relative error = 4.5565627505504571203157927580951e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.3MB, time=9.83 NO POLE x[1] = -0.864 y[1] (analytic) = 1.4475978625866164081420659108414 y[1] (numeric) = 1.4475978625866164081354232537518 absolute error = 6.6426570896e-21 relative error = 4.5887447483037019281459218399439e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.863 y[1] (analytic) = 1.448026083674552164152601061783 y[1] (numeric) = 1.4480260836745521641459098676883 absolute error = 6.6911940947e-21 relative error = 4.6209071577773209741091820982858e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.862 y[1] (analytic) = 1.4484535039732841610876333584827 y[1] (numeric) = 1.448453503973284161080893631835 absolute error = 6.7397266477e-21 relative error = 4.6530500490434176446725787663385e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.861 y[1] (analytic) = 1.4488801237755359630156458517335 y[1] (numeric) = 1.4488801237755359630088575969847 absolute error = 6.7882547488e-21 relative error = 4.6851734918627767413252209039125e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.86 y[1] (analytic) = 1.4493059433739703322746804135193 y[1] (numeric) = 1.4493059433739703322678436351209 absolute error = 6.8367783984e-21 relative error = 4.7172775559617491646241682014878e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=99.1MB, alloc=4.3MB, time=10.20 x[1] = -0.859 y[1] (analytic) = 1.4497309630611892383397777876928 y[1] (numeric) = 1.4497309630611892383328924900959 absolute error = 6.8852975969e-21 relative error = 4.7493623108947767832125012642830e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.858 y[1] (analytic) = 1.4501551831297338666894194219184 y[1] (numeric) = 1.4501551831297338666824856095738 absolute error = 6.9338123446e-21 relative error = 4.7814278259761161573835053620662e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.857 y[1] (analytic) = 1.4505786038720846276709711724485 y[1] (numeric) = 1.4505786038720846276639888498065 absolute error = 6.9823226420e-21 relative error = 4.8134741704874321589773449248430e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.856 y[1] (analytic) = 1.4510012255806611653651289732915 y[1] (numeric) = 1.4510012255806611653580981448023 absolute error = 7.0308284892e-21 relative error = 4.8455014132647651642026022756768e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.855 y[1] (analytic) = 1.4514230485478223664493665613277 y[1] (numeric) = 1.4514230485478223664422872314411 absolute error = 7.0793298866e-21 relative error = 4.8775096231818906157048558232206e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.854 y[1] (analytic) = 1.4518440730658663690603853489164 y[1] (numeric) = 1.4518440730658663690532575220817 absolute error = 7.1278268347e-21 relative error = 4.9094988690129323106669800982434e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.3MB, time=10.58 NO POLE x[1] = -0.853 y[1] (analytic) = 1.4522642994270305716555665355342 y[1] (numeric) = 1.4522642994270305716483902162006 absolute error = 7.1763193336e-21 relative error = 4.9414692190886402658543849470831e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.852 y[1] (analytic) = 1.4526837279234916418734255499782 y[1] (numeric) = 1.4526837279234916418662007425942 absolute error = 7.2248073840e-21 relative error = 4.9734207419858345485934883795411e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.851 y[1] (analytic) = 1.453102358847365525393068914655 y[1] (numeric) = 1.4531023588473655253857956236692 absolute error = 7.2732909858e-21 relative error = 5.0053535055640147801478616311044e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.85 y[1] (analytic) = 1.453520192490707454792653623479 y[1] (numeric) = 1.4535201924907074547853318533393 absolute error = 7.3217701397e-21 relative error = 5.0372675780675878272607439217294e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.849 y[1] (analytic) = 1.4539372291455119584068491248843 y[1] (numeric) = 1.4539372291455119583994788800384 absolute error = 7.3702448459e-21 relative error = 5.0691630272316083326757821196820e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.848 y[1] (analytic) = 1.454353469103712869183302001459 y[1] (numeric) = 1.4543534691037128691758832863542 absolute error = 7.4187151048e-21 relative error = 5.1010399207642392703633570702954e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.3MB, time=10.96 NO POLE x[1] = -0.847 y[1] (analytic) = 1.4547689126571833335381034376956 y[1] (numeric) = 1.4547689126571833335306362567789 absolute error = 7.4671809167e-21 relative error = 5.1328983261409869661240842649066e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.846 y[1] (analytic) = 1.4551835600977358202102595673482 y[1] (numeric) = 1.4551835600977358202027439250662 absolute error = 7.5156422820e-21 relative error = 5.1647383107428866671832064401087e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.845 y[1] (analytic) = 1.455597411717122129115164791878 y[1] (numeric) = 1.455597411717122129107600692677 absolute error = 7.5640992010e-21 relative error = 5.1965599417196489301253838888054e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.844 y[1] (analytic) = 1.456010467807033400197078161463 y[1] (numeric) = 1.4560104678070334001894656097891 absolute error = 7.6125516739e-21 relative error = 5.2283632859903995455560136873163e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.843 y[1] (analytic) = 1.4564227286591001222806029100403 y[1] (numeric) = 1.4564227286591001222729419103391 absolute error = 7.6609997012e-21 relative error = 5.2601484105190615642553797666623e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.3MB, time=11.34 NO POLE x[1] = -0.842 y[1] (analytic) = 1.456834194564892141921169235841 y[1] (numeric) = 1.4568341945648921419134597925577 absolute error = 7.7094432833e-21 relative error = 5.2919153820401325540096204832988e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.841 y[1] (analytic) = 1.4572448658159186722545204188728 y[1] (numeric) = 1.4572448658159186722467625364523 absolute error = 7.7578824205e-21 relative error = 5.3236642670594162084709397983701e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.84 y[1] (analytic) = 1.4576547427036283018452023667972 y[1] (numeric) = 1.4576547427036283018373960496841 absolute error = 7.8063171131e-21 relative error = 5.3553951319233539169693909454900e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.839 y[1] (analytic) = 1.4580638255194090035340566806402 y[1] (numeric) = 1.4580638255194090035262019332788 absolute error = 7.8547473614e-21 relative error = 5.3871080428196533711744350382428e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.838 y[1] (analytic) = 1.4584721145545881432847173317707 y[1] (numeric) = 1.4584721145545881432768141586048 absolute error = 7.9031731659e-21 relative error = 5.4188030659150443440351179804324e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.837 y[1] (analytic) = 1.4588796101004324890291110415708 y[1] (numeric) = 1.4588796101004324890211594470441 absolute error = 7.9515945267e-21 relative error = 5.4504802669444360116779730090368e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=11.72 NO POLE x[1] = -0.836 y[1] (analytic) = 1.4592863124481482195119614552181 y[1] (numeric) = 1.4592863124481482195039614437737 absolute error = 8.0000114444e-21 relative error = 5.4821397118286605631014568927950e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.835 y[1] (analytic) = 1.4596922218888809331342972009901 y[1] (numeric) = 1.4596922218888809331262487770708 absolute error = 8.0484239193e-21 relative error = 5.5137814661265532532360025712691e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.834 y[1] (analytic) = 1.4600973387137156567959639264962 y[1] (numeric) = 1.4600973387137156567878670945446 absolute error = 8.0968319516e-21 relative error = 5.5454055951728316920205282807003e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.833 y[1] (analytic) = 1.4605016632136768547371404032346 y[1] (numeric) = 1.4605016632136768547289951676929 absolute error = 8.1452355417e-21 relative error = 5.5770121642842125143851871892282e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.832 y[1] (analytic) = 1.4609051956797284373788587908637 y[1] (numeric) = 1.4609051956797284373706651561738 absolute error = 8.1936346899e-21 relative error = 5.6086012385544800833131620357791e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=118.2MB, alloc=4.4MB, time=12.11 x[1] = -0.831 y[1] (analytic) = 1.4613079364027737701625291525722 y[1] (numeric) = 1.4613079364027737701542871231754 absolute error = 8.2420293968e-21 relative error = 5.6401728831289165759335918337476e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.83 y[1] (analytic) = 1.4617098856736556823884683129225 y[1] (numeric) = 1.46170988567365568238017789326 absolute error = 8.2904196625e-21 relative error = 5.6717271626573208594801774237710e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.829 y[1] (analytic) = 1.462111043783156476053433149539 y[1] (numeric) = 1.4621110437831564760450943440515 absolute error = 8.3388054875e-21 relative error = 5.7032641419106303491747606361841e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.828 y[1] (analytic) = 1.4625114110219979346871584100002 y[1] (numeric) = 1.4625114110219979346787712231283 absolute error = 8.3871868719e-21 relative error = 5.7347838852341416696458519466090e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.827 y[1] (analytic) = 1.4629109876808413321878991452928 y[1] (numeric) = 1.4629109876808413321794635814766 absolute error = 8.4355638162e-21 relative error = 5.7662864570953378496802341881872e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.826 y[1] (analytic) = 1.4633097740502874416569778511722 y[1] (numeric) = 1.4633097740502874416484939148514 absolute error = 8.4839363208e-21 relative error = 5.7977719217424190339241961127647e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=12.52 NO POLE x[1] = -0.825 y[1] (analytic) = 1.4637077704208765442323364087729 y[1] (numeric) = 1.463707770420876544223804104387 absolute error = 8.5323043859e-21 relative error = 5.8292403431366696023489166904505e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.824 y[1] (analytic) = 1.4641049770830884379210929158019 y[1] (numeric) = 1.4641049770830884379125122477899 absolute error = 8.5806680120e-21 relative error = 5.8606917852947400194671141960934e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.823 y[1] (analytic) = 1.4645013943273424464311034996399 y[1] (numeric) = 1.4645013943273424464224744724405 absolute error = 8.6290271994e-21 relative error = 5.8921263119475439422941345925657e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.822 y[1] (analytic) = 1.4648970224439974280015292036726 y[1] (numeric) = 1.4648970224439974279928518217243 absolute error = 8.6773819483e-21 relative error = 5.9235439866092933495577472794396e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.821 y[1] (analytic) = 1.4652918617233517842324080381627 y[1] (numeric) = 1.4652918617233517842236823059035 absolute error = 8.7257322592e-21 relative error = 5.9549448728511568530561062528223e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.82 y[1] (analytic) = 1.4656859124556434689132322869684 y[1] (numeric) = 1.4656859124556434689044582088359 absolute error = 8.7740781325e-21 relative error = 5.9863290340286550239279264214082e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=12.93 NO POLE x[1] = -0.819 y[1] (analytic) = 1.4660791749310499968505311614068 y[1] (numeric) = 1.4660791749310499968417087418385 absolute error = 8.8224195683e-21 relative error = 6.0176965331459129381010124561216e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.818 y[1] (analytic) = 1.4664716494396884526944588925541 y[1] (numeric) = 1.466471649439688452685588135987 absolute error = 8.8707565671e-21 relative error = 6.0490474333338466700640954408754e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.817 y[1] (analytic) = 1.4668633362716154997643883532654 y[1] (numeric) = 1.4668633362716154997554692641362 absolute error = 8.9190891292e-21 relative error = 6.0803817974413357750797867313074e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.816 y[1] (analytic) = 1.4672542357168273888735103011926 y[1] (numeric) = 1.4672542357168273888645428839374 absolute error = 8.9674172552e-21 relative error = 6.1116996883767496985972904130224e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.815 y[1] (analytic) = 1.4676443480652599671524383340687 y[1] (numeric) = 1.4676443480652599671434225931237 absolute error = 9.0157409450e-21 relative error = 6.1430011684268809963291402529692e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=13.33 NO POLE x[1] = -0.814 y[1] (analytic) = 1.4680336736067886868718196485245 y[1] (numeric) = 1.4680336736067886868627555883253 absolute error = 9.0640601992e-21 relative error = 6.1742863002118023784075794840260e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.813 y[1] (analytic) = 1.4684222126312286142639516936898 y[1] (numeric) = 1.4684222126312286142548393186718 absolute error = 9.1123750180e-21 relative error = 6.2055551459356949746906148930851e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.812 y[1] (analytic) = 1.4688099654283344383434048108312 y[1] (numeric) = 1.4688099654283344383342441254291 absolute error = 9.1606854021e-21 relative error = 6.2368077680005122021606902908060e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.811 y[1] (analytic) = 1.4691969322878004797266509502652 y[1] (numeric) = 1.4691969322878004797174419589138 absolute error = 9.2089913514e-21 relative error = 6.2680442281212535667062212860331e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.81 y[1] (analytic) = 1.469583113499260699450698556785 y[1] (numeric) = 1.4695831134992606994414412639186 absolute error = 9.2572928664e-21 relative error = 6.2992645882798904723331324891149e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.809 y[1] (analytic) = 1.4699685093522887077907337148251 y[1] (numeric) = 1.4699685093522887077814281248776 absolute error = 9.3055899475e-21 relative error = 6.3304689102491836360141378042792e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=13.75 NO POLE x[1] = -0.808 y[1] (analytic) = 1.4703531201363977730767676445863 y[1] (numeric) = 1.4703531201363977730674137619912 absolute error = 9.3538825951e-21 relative error = 6.3616572556613367251875743870961e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.807 y[1] (analytic) = 1.4707369461410408305092906403336 y[1] (numeric) = 1.4707369461410408304998884695242 absolute error = 9.4021708094e-21 relative error = 6.3928296858725611913743862466899e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.806 y[1] (analytic) = 1.4711199876556104909739325420746 y[1] (numeric) = 1.4711199876556104909644820874836 absolute error = 9.4504545910e-21 relative error = 6.4239862623716546735468434952351e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.805 y[1] (analytic) = 1.4715022449694390498551298318158 y[1] (numeric) = 1.471502244969439049845631097876 absolute error = 9.4987339398e-21 relative error = 6.4551270460326581532552178369241e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.804 y[1] (analytic) = 1.4718837183717984958487994455922 y[1] (numeric) = 1.4718837183717984958392524367356 absolute error = 9.5470088566e-21 relative error = 6.4862520982030601049097160158096e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.803 y[1] (analytic) = 1.4722644081519005197740193924509 y[1] (numeric) = 1.4722644081519005197644241131095 memory used=137.3MB, alloc=4.4MB, time=14.16 absolute error = 9.5952793414e-21 relative error = 6.5173614795488619892666425209049e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.802 y[1] (analytic) = 1.4726443145988965233837162715719 y[1] (numeric) = 1.4726443145988965233740727261772 absolute error = 9.6435453947e-21 relative error = 6.5484552509385867337678384470827e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.801 y[1] (analytic) = 1.4730234380018776281743597786935 y[1] (numeric) = 1.4730234380018776281646679716766 absolute error = 9.6918070169e-21 relative error = 6.5795334730360523174356199639060e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.8 y[1] (analytic) = 1.4734017786498746841946642930075 y[1] (numeric) = 1.4734017786498746841849242287992 absolute error = 9.7400642083e-21 relative error = 6.6105962063009950284529214204199e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.799 y[1] (analytic) = 1.473779336831858278853297635682 y[1] (numeric) = 1.4737793368318582788435093187128 absolute error = 9.7883169692e-21 relative error = 6.6416435110575426470319976787219e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.798 y[1] (analytic) = 1.4741561128367387457255970911604 y[1] (numeric) = 1.4741561128367387457157605258606 absolute error = 9.8365652998e-21 relative error = 6.6726754474269099089052381371425e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=14.59 NO POLE x[1] = -0.797 y[1] (analytic) = 1.4745321069533661733592927823805 y[1] (numeric) = 1.4745321069533661733494079731798 absolute error = 9.8848092007e-21 relative error = 6.7036920756671043542826988954538e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.796 y[1] (analytic) = 1.4749073194705304140792384910483 y[1] (numeric) = 1.4749073194705304140693054423761 absolute error = 9.9330486722e-21 relative error = 6.7346934556985013507777206664852e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.795 y[1] (analytic) = 1.4752817506769610927911500140965 y[1] (numeric) = 1.475281750676961092781168730382 absolute error = 9.9812837145e-21 relative error = 6.7656796472401953813428756914171e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.794 y[1] (analytic) = 1.4756554008613276157843511474489 y[1] (numeric) = 1.4756554008613276157743216331208 absolute error = 1.00295143281e-20 relative error = 6.7966507100816742503475637194695e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.793 y[1] (analytic) = 1.4760282703122391795335273882044 y[1] (numeric) = 1.4760282703122391795234496476913 absolute error = 1.00777405131e-20 relative error = 6.8276067036088364924660727427557e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.792 y[1] (analytic) = 1.4764003593182447794994874463502 y[1] (numeric) = 1.47640035931824477948936148408 absolute error = 1.01259622702e-20 relative error = 6.8585476874821750185652153954034e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.4MB, time=15.01 NO POLE x[1] = -0.791 y[1] (analytic) = 1.4767716681678332189289326571016 y[1] (numeric) = 1.4767716681678332189187584775022 absolute error = 1.01741795994e-20 relative error = 6.8894737207564828828495299612936e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.79 y[1] (analytic) = 1.4771421971494331176532343849659 y[1] (numeric) = 1.4771421971494331176430119924646 absolute error = 1.02223925013e-20 relative error = 6.9203848627620413951231924461028e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.789 y[1] (analytic) = 1.4775119465514129208862195106123 y[1] (numeric) = 1.4775119465514129208759489096362 absolute error = 1.02706009761e-20 relative error = 6.9512811724278090844012690675127e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.788 y[1] (analytic) = 1.4778809166620809080209640916308 y[1] (numeric) = 1.4778809166620809080106452866067 absolute error = 1.03188050241e-20 relative error = 6.9821627086205931993551525962513e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.787 y[1] (analytic) = 1.4782491077696852014255952882507 y[1] (numeric) = 1.4782491077696852014152282836048 absolute error = 1.03670046459e-20 relative error = 7.0130295302807681340153172626848e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=15.42 NO POLE x[1] = -0.786 y[1] (analytic) = 1.4786165201624137752381016450826 y[1] (numeric) = 1.478616520162413775227686445241 absolute error = 1.04151998416e-20 relative error = 7.0438816958814829023020293251441e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.785 y[1] (analytic) = 1.4789831541283944641601518199459 y[1] (numeric) = 1.4789831541283944641496884293342 absolute error = 1.04633906117e-20 relative error = 7.0747192640381116950912363181620e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.784 y[1] (analytic) = 1.4793490099556949722499218508282 y[1] (numeric) = 1.4793490099556949722394102738718 absolute error = 1.05115769564e-20 relative error = 7.1055422930352393641526688850808e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.783 y[1] (analytic) = 1.4797140879323228817139310520243 y[1] (numeric) = 1.4797140879323228817033712931482 absolute error = 1.05597588761e-20 relative error = 7.1363508411653154849252423222845e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.782 y[1] (analytic) = 1.4800783883462256616978866304899 y[1] (numeric) = 1.4800783883462256616872786941187 absolute error = 1.06079363712e-20 relative error = 7.1671449665938575217249669819732e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.781 y[1] (analytic) = 1.4804419114852906770765371134403 y[1] (numeric) = 1.4804419114852906770658810039983 absolute error = 1.06561094420e-20 relative error = 7.1979247272923998134137682732803e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=152.5MB, alloc=4.4MB, time=15.84 NO POLE x[1] = -0.78 y[1] (analytic) = 1.4808046576373451972425346782169 y[1] (numeric) = 1.4808046576373451972318304001282 absolute error = 1.07042780887e-20 relative error = 7.2286901810390707265046639815713e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.779 y[1] (analytic) = 1.4811666270901564048943064754382 y[1] (numeric) = 1.4811666270901564048835540331264 absolute error = 1.07524423118e-20 relative error = 7.2594413856892245946649438042670e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.778 y[1] (analytic) = 1.4815278201314314048229350364423 y[1] (numeric) = 1.4815278201314314048121344343306 absolute error = 1.08006021117e-20 relative error = 7.2901783989056929161289792655166e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.777 y[1] (analytic) = 1.481888237048817232698047856024 y[1] (numeric) = 1.4818882370488172326871990985355 absolute error = 1.08487574885e-20 relative error = 7.3209012780243925094003207800085e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.776 y[1] (analytic) = 1.4822478781299008638527162414614 y[1] (numeric) = 1.4822478781299008638418193330186 absolute error = 1.08969084428e-20 relative error = 7.3516100805947785609327088508920e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.775 memory used=156.4MB, alloc=4.4MB, time=16.25 y[1] (analytic) = 1.4826067436622092220673635188176 y[1] (numeric) = 1.4826067436622092220564184638427 absolute error = 1.09450549749e-20 relative error = 7.3823048638403296666054494847533e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.774 y[1] (analytic) = 1.4829648339332091883526826875005 y[1] (numeric) = 1.4829648339332091883416894904154 absolute error = 1.09931970851e-20 relative error = 7.4129856848615732789668085097424e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.773 y[1] (analytic) = 1.4833221492303076097315636140526 y[1] (numeric) = 1.4833221492303076097205222792789 absolute error = 1.10413347737e-20 relative error = 7.4436526006365662122094120765550e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.772 y[1] (analytic) = 1.4836786898408513080200298561378 y[1] (numeric) = 1.4836786898408513080089403880968 absolute error = 1.10894680410e-20 relative error = 7.4743056680213732600850919514965e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.771 y[1] (analytic) = 1.4840344560521270886071852076851 y[1] (numeric) = 1.4840344560521270885960476107975 absolute error = 1.11375968876e-20 relative error = 7.5049449439526955767087197707063e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.77 y[1] (analytic) = 1.4843894481513617492341700561392 y[1] (numeric) = 1.4843894481513617492229843348257 absolute error = 1.11857213135e-20 relative error = 7.5355704848417939373124424944541e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=16.66 NO POLE x[1] = -0.769 y[1] (analytic) = 1.4847436664257220887721276427676 y[1] (numeric) = 1.4847436664257220887608938014484 absolute error = 1.12338413192e-20 relative error = 7.5661823473163138229341327543700e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.768 y[1] (analytic) = 1.485097111162314915999180316958 y[1] (numeric) = 1.4850971111623149159878983600528 absolute error = 1.12819569052e-20 relative error = 7.5967805878836762460131520817287e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.767 y[1] (analytic) = 1.4854497826481870583764158754392 y[1] (numeric) = 1.4854497826481870583650858073677 absolute error = 1.13300680715e-20 relative error = 7.6273652625949495391801274907900e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.766 y[1] (analytic) = 1.4858016811703253708228840773513 y[1] (numeric) = 1.4858016811703253708115059025326 absolute error = 1.13781748187e-20 relative error = 7.6579364277860573629269352987255e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.765 y[1] (analytic) = 1.4861528070156567444896034260781 y[1] (numeric) = 1.4861528070156567444781771489311 absolute error = 1.14262771470e-20 relative error = 7.6884941394048877315410031644239e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.764 y[1] (analytic) = 1.4865031604710481155325783087563 y[1] (numeric) = 1.4865031604710481155211039336995 absolute error = 1.14743750568e-20 relative error = 7.7190384534157071571882991405612e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=17.05 NO POLE x[1] = -0.763 y[1] (analytic) = 1.4868527418233064738848265843613 y[1] (numeric) = 1.4868527418233064738733041158127 absolute error = 1.15224685486e-20 relative error = 7.7495694257322079496874367232302e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.762 y[1] (analytic) = 1.4872015513591788720274177112667 y[1] (numeric) = 1.4872015513591788720158471536442 absolute error = 1.15705576225e-20 relative error = 7.7800871118816881107995060750470e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.761 y[1] (analytic) = 1.4875495893653524337595215051676 y[1] (numeric) = 1.4875495893653524337479028628885 absolute error = 1.16186422791e-20 relative error = 7.8105915676108471310073285495118e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.76 y[1] (analytic) = 1.4878968561284543629674676182464 y[1] (numeric) = 1.487896856128454362955800895728 absolute error = 1.16667225184e-20 relative error = 7.8410828481465510252857192393835e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.759 y[1] (analytic) = 1.4882433519350519523928158304604 y[1] (numeric) = 1.4882433519350519523811010321193 absolute error = 1.17147983411e-20 relative error = 7.8715610090702710017279154098957e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=17.45 NO POLE x[1] = -0.758 y[1] (analytic) = 1.4885890770716525923994372438138 y[1] (numeric) = 1.4885890770716525923876743740667 absolute error = 1.17628697471e-20 relative error = 7.9020261053103235583841965976170e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.757 y[1] (analytic) = 1.4889340318247037797396064704805 y[1] (numeric) = 1.4889340318247037797277955337433 absolute error = 1.18109367372e-20 relative error = 7.9324781922847025397331421284654e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.756 y[1] (analytic) = 1.4892782164805931263191049056256 y[1] (numeric) = 1.4892782164805931263072459063141 absolute error = 1.18589993115e-20 relative error = 7.9629173248264827021689796133676e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.755 y[1] (analytic) = 1.4896216313256483679613351757774 y[1] (numeric) = 1.489621631325648367949428118307 absolute error = 1.19070574704e-20 relative error = 7.9933435578561229390672705730203e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.754 y[1] (analytic) = 1.4899642766461373731704468535861 y[1] (numeric) = 1.4899642766461373731584917423719 absolute error = 1.19551112142e-20 relative error = 8.0237569461132172566802394366842e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.753 y[1] (analytic) = 1.4903061527282681518934735298032 y[1] (numeric) = 1.4903061527282681518814703692599 absolute error = 1.20031605433e-20 relative error = 8.0541575442912172653771330777648e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=17.85 NO POLE x[1] = -0.752 y[1] (analytic) = 1.4906472598581888642814813333068 y[1] (numeric) = 1.4906472598581888642694301278488 absolute error = 1.20512054580e-20 relative error = 8.0845454069036282707962292482856e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.751 y[1] (analytic) = 1.4909875983219878294497289899919 y[1] (numeric) = 1.4909875983219878294376297440332 absolute error = 1.20992459587e-20 relative error = 8.1149205884186666008593828411043e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.75 y[1] (analytic) = 1.4913271684056935342368395113354 y[1] (numeric) = 1.4913271684056935342246922292898 absolute error = 1.21472820456e-20 relative error = 8.1452831430584595199521377655639e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.749 y[1] (analytic) = 1.4916659703952746419629836034432 y[1] (numeric) = 1.4916659703952746419507882897239 absolute error = 1.21953137193e-20 relative error = 8.1756331252018704587161172246666e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.748 y[1] (analytic) = 1.4920040045766400011870748873731 y[1] (numeric) = 1.4920040045766400011748315463931 absolute error = 1.22433409800e-20 relative error = 8.2059705888484392498355080677321e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=175.4MB, alloc=4.4MB, time=18.26 x[1] = -0.747 y[1] (analytic) = 1.4923412712356386544629770215274 y[1] (numeric) = 1.4923412712356386544506856576994 absolute error = 1.22913638280e-20 relative error = 8.2362955879541646676707947349165e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.746 y[1] (analytic) = 1.4926777706580598470947228168959 y[1] (numeric) = 1.4926777706580598470823834346323 absolute error = 1.23393822636e-20 relative error = 8.2666081763648674740224408120110e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.745 y[1] (analytic) = 1.4930135031296330358907454359268 y[1] (numeric) = 1.4930135031296330358783580396396 absolute error = 1.23873962872e-20 relative error = 8.2969084078836000819334838246454e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.744 y[1] (analytic) = 1.4933484689360278979171217657948 y[1] (numeric) = 1.4933484689360278979046863598956 absolute error = 1.24354058992e-20 relative error = 8.3271963362040372199851328136817e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.743 y[1] (analytic) = 1.4936826683628543392498280568274 y[1] (numeric) = 1.4936826683628543392373446457274 absolute error = 1.24834111000e-20 relative error = 8.3574720149109040972219239518120e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.742 y[1] (analytic) = 1.494016101695662503726007916846 y[1] (numeric) = 1.4940161016956625037134765049562 absolute error = 1.25314118898e-20 relative error = 8.3877354973465355734639414231465e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.4MB, time=18.66 NO POLE x[1] = -0.741 y[1] (analytic) = 1.4943487692199427816942527521695 y[1] (numeric) = 1.4943487692199427816816733439007 absolute error = 1.25794082688e-20 relative error = 8.4179868367452876450026626398460e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.74 y[1] (analytic) = 1.4946806712211258187638947460211 y[1] (numeric) = 1.4946806712211258187512673457835 absolute error = 1.26274002376e-20 relative error = 8.4482260865015756195055825487229e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.739 y[1] (analytic) = 1.4950118079845825245533124650721 y[1] (numeric) = 1.4950118079845825245406370772755 absolute error = 1.26753877966e-20 relative error = 8.4784532997686639981207896168332e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.738 y[1] (analytic) = 1.4953421797956240814372491848507 y[1] (numeric) = 1.4953421797956240814245258139046 absolute error = 1.27233709461e-20 relative error = 8.5086685295261094998790637236170e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.737 y[1] (analytic) = 1.4956717869395019532931440247348 y[1] (numeric) = 1.4956717869395019532803726750486 absolute error = 1.27713496862e-20 relative error = 8.5388718285133936719134356286336e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.736 y[1] (analytic) = 1.4960006297014078942464759832432 y[1] (numeric) = 1.4960006297014078942336566592258 absolute error = 1.28193240174e-20 relative error = 8.5690632496315557300551548962699e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=19.06 NO POLE x[1] = -0.735 y[1] (analytic) = 1.4963287083664739574151209643286 y[1] (numeric) = 1.4963287083664739574022536703886 absolute error = 1.28672939400e-20 relative error = 8.5992428455423321622326554593918e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.734 y[1] (analytic) = 1.4966560232197725036527218853741 y[1] (numeric) = 1.4966560232197725036398066259197 absolute error = 1.29152594544e-20 relative error = 8.6294106688691639416568294928601e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.733 y[1] (analytic) = 1.4969825745463162102910719575828 y[1] (numeric) = 1.4969825745463162102781087370218 absolute error = 1.29632205610e-20 relative error = 8.6595667721307344345125599885824e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.732 y[1] (analytic) = 1.4973083626310580798815112294467 y[1] (numeric) = 1.4973083626310580798685000521867 absolute error = 1.30111772600e-20 relative error = 8.6897112076078070621248350978072e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.731 y[1] (analytic) = 1.4976333877588914489353364839725 y[1] (numeric) = 1.4976333877588914489222773544207 absolute error = 1.30591295518e-20 relative error = 8.7198440276108674461570671231808e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=19.45 NO POLE x[1] = -0.73 y[1] (analytic) = 1.497957650214649996663224580334 y[1] (numeric) = 1.4979576502146499966501175028974 absolute error = 1.31070774366e-20 relative error = 8.7499652842133554182524935486434e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.729 y[1] (analytic) = 1.4982811502831077537136693306167 y[1] (numeric) = 1.4982811502831077537005143097017 absolute error = 1.31550209150e-20 relative error = 8.7800750296526741198856788596061e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.728 y[1] (analytic) = 1.4986038882489791109104320023091 y[1] (numeric) = 1.4986038882489791108972290423218 absolute error = 1.32029599873e-20 relative error = 8.8101733158632048610096536993014e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.727 y[1] (analytic) = 1.4989258643969188279890055371919 y[1] (numeric) = 1.4989258643969188279757546425382 absolute error = 1.32508946537e-20 relative error = 8.8402601946103548483685380912508e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.726 y[1] (analytic) = 1.4992470790115220423320925772682 y[1] (numeric) = 1.4992470790115220423187937523536 absolute error = 1.32988249146e-20 relative error = 8.8703357176911302265481285655251e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.725 y[1] (analytic) = 1.4995675323773242777040973883679 y[1] (numeric) = 1.4995675323773242776907506375976 absolute error = 1.33467507703e-20 relative error = 8.9003999367343350980168613821259e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.4MB, time=19.85 NO POLE x[1] = -0.724 y[1] (analytic) = 1.4998872247788014529846317720576 y[1] (numeric) = 1.4998872247788014529712370998364 absolute error = 1.33946722212e-20 relative error = 8.9304529033343844944120665746390e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.723 y[1] (analytic) = 1.500206156500369890901035056476 y[1] (numeric) = 1.5002061565003698908875924672082 absolute error = 1.34425892678e-20 relative error = 8.9604946690516301681055957407246e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.722 y[1] (analytic) = 1.5005243278263863267599082567092 y[1] (numeric) = 1.500524327826386326746417754799 absolute error = 1.34905019102e-20 relative error = 8.9905252850794686476423256881712e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.721 y[1] (analytic) = 1.500841739041147917177662495315 y[1] (numeric) = 1.5008417390411479171641240851662 absolute error = 1.35384101488e-20 relative error = 9.0205448027114225729569988393464e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.72 y[1] (analytic) = 1.5011583904288922488100817735946 y[1] (numeric) = 1.5011583904288922487964954596107 absolute error = 1.35863139839e-20 relative error = 9.0505532730748604440970929019556e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.719 memory used=194.5MB, alloc=4.4MB, time=20.25 y[1] (analytic) = 1.5014742822737973470809001842069 y[1] (numeric) = 1.5014742822737973470672659707909 absolute error = 1.36342134160e-20 relative error = 9.0805507473312615123082175040595e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.718 y[1] (analytic) = 1.5017894148599816849093936557103 y[1] (numeric) = 1.5017894148599816848957115472649 absolute error = 1.36821084454e-20 relative error = 9.1105372764101164469940722221647e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.717 y[1] (analytic) = 1.5021037884715041914369863196125 y[1] (numeric) = 1.5021037884715041914232563205403 absolute error = 1.37299990722e-20 relative error = 9.1405129110094553936210116560385e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.716 y[1] (analytic) = 1.502417403392364260752871590501 y[1] (numeric) = 1.502417403392364260739093705204 absolute error = 1.37778852970e-20 relative error = 9.1704777020622892077080375032810e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.715 y[1] (analytic) = 1.502730259906501760618648049818 y[1] (numeric) = 1.5027302599065017606048222826978 absolute error = 1.38257671202e-20 relative error = 9.2004317002708284888890843644798e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.714 y[1] (analytic) = 1.5030423582977970411919702238391 y[1] (numeric) = 1.5030423582977970411780965792972 absolute error = 1.38736445419e-20 relative error = 9.2303749560404748413608476425771e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=20.65 NO POLE x[1] = -0.713 y[1] (analytic) = 1.5033536988500709437492143464083 y[1] (numeric) = 1.5033536988500709437352928288457 absolute error = 1.39215175626e-20 relative error = 9.2603075199460357778768884307439e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.712 y[1] (analytic) = 1.5036642818470848094071591969706 y[1] (numeric) = 1.5036642818470848093931898107881 absolute error = 1.39693861825e-20 relative error = 9.2902294422663005077721015226081e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.711 y[1] (analytic) = 1.5039741075725404878436821044426 y[1] (numeric) = 1.5039741075725404878296648540406 absolute error = 1.40172504020e-20 relative error = 9.3201407733170781608896724729409e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.71 y[1] (analytic) = 1.5042831763100803460174702074492 y[1] (numeric) = 1.5042831763100803460034050972276 absolute error = 1.40651102216e-20 relative error = 9.3500415633849619526342843980323e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.709 y[1] (analytic) = 1.5045914883432872768867470614503 y[1] (numeric) = 1.5045914883432872768726340958089 absolute error = 1.41129656414e-20 relative error = 9.3799318623953219743159121665263e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.708 y[1] (analytic) = 1.5048990439556847081270146832746 y[1] (numeric) = 1.5048990439556847081128538666127 absolute error = 1.41608166619e-20 relative error = 9.4098117204445500018945711735044e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=21.05 NO POLE x[1] = -0.707 y[1] (analytic) = 1.5052058434307366108478111235677 y[1] (numeric) = 1.5052058434307366108336024602844 absolute error = 1.42086632833e-20 relative error = 9.4396811873351090345743718235829e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.706 y[1] (analytic) = 1.5055118870518475083084836576591 y[1] (numeric) = 1.5055118870518475082942271521529 absolute error = 1.42565055062e-20 relative error = 9.4695403130410672937729400518778e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.705 y[1] (analytic) = 1.5058171751023624846329776853406 y[1] (numeric) = 1.5058171751023624846186733420099 absolute error = 1.43043433307e-20 relative error = 9.4993891471105175330506006801946e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.704 y[1] (analytic) = 1.5061217078655671935236414300468 y[1] (numeric) = 1.5061217078655671935092892532895 absolute error = 1.43521767573e-20 relative error = 9.5292277392638449565070636047736e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.703 y[1] (analytic) = 1.5064254856246878669740465279169 y[1] (numeric) = 1.5064254856246878669596465221307 absolute error = 1.44000057862e-20 relative error = 9.5590561389291509565022950481378e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.4MB, time=21.45 NO POLE x[1] = -0.702 y[1] (analytic) = 1.5067285086628913239808245972131 y[1] (numeric) = 1.5067285086628913239663767667952 absolute error = 1.44478304179e-20 relative error = 9.5888743956410349915458591791198e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.701 y[1] (analytic) = 1.5070307772632849792545198785614 y[1] (numeric) = 1.5070307772632849792400242279089 absolute error = 1.44956506525e-20 relative error = 9.6186825585762707765253783944286e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.7 y[1] (analytic) = 1.5073322917089168519294580364768 y[1] (numeric) = 1.5073322917089168519149145699862 absolute error = 1.45434664906e-20 relative error = 9.6484806771515183127271968478668e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.699 y[1] (analytic) = 1.5076330522827755742726312126236 y[1] (numeric) = 1.5076330522827755742580399346913 absolute error = 1.45912779323e-20 relative error = 9.6782688003600639965362694486506e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.698 y[1] (analytic) = 1.5079330592677904003915994212592 y[1] (numeric) = 1.507933059267790400376960336281 absolute error = 1.46390849782e-20 relative error = 9.7080469774356729007106704739528e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.697 y[1] (analytic) = 1.5082323129468312149414083772976 y[1] (numeric) = 1.5082323129468312149267214896693 absolute error = 1.46868876283e-20 relative error = 9.7378152571232889414604806081438e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=21.85 NO POLE x[1] = -0.696 y[1] (analytic) = 1.5085308136027085418305238474286 y[1] (numeric) = 1.5085308136027085418157891615453 absolute error = 1.47346858833e-20 relative error = 9.7675736885415544408617448805312e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.695 y[1] (analytic) = 1.5088285615181735529257826147127 y[1] (numeric) = 1.5088285615181735529110001349693 absolute error = 1.47824797434e-20 relative error = 9.7973223203873900449620355572267e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.694 y[1] (analytic) = 1.5091255569759180767563601470743 y[1] (numeric) = 1.5091255569759180767415298778654 absolute error = 1.48302692089e-20 relative error = 9.8270612013342601775056168481822e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.693 y[1] (analytic) = 1.5094218002585746072167550601011 y[1] (numeric) = 1.5094218002585746072018770058209 absolute error = 1.48780542802e-20 relative error = 9.8567903800324629597010034251032e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.692 y[1] (analytic) = 1.5097172916487163122687904645551 y[1] (numeric) = 1.5097172916487163122538646295975 absolute error = 1.49258349576e-20 relative error = 9.8865099049769442915087382833689e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.691 y[1] (analytic) = 1.5100120314288570426426322889917 y[1] (numeric) = 1.5100120314288570426276586777502 absolute error = 1.49736112415e-20 relative error = 9.9162198246401649311167489030395e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=22.25 NO POLE x[1] = -0.69 y[1] (analytic) = 1.5103060198814513405368246678763 y[1] (numeric) = 1.5103060198814513405218032847442 absolute error = 1.50213831321e-20 relative error = 9.9459201872737523123486173275952e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.689 y[1] (analytic) = 1.5105992572888944483173424855832 y[1] (numeric) = 1.5105992572888944483022733349533 absolute error = 1.50691506299e-20 relative error = 9.9756110412399741777528143066904e-19 % Correct digits = 20 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.688 y[1] (analytic) = 1.5108917439335223172156611666496 y[1] (numeric) = 1.5108917439335223172005442529145 absolute error = 1.51169137351e-20 relative error = 1.0005292434614778500393252816096e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.687 y[1] (analytic) = 1.5111834800976116160258438026568 y[1] (numeric) = 1.5111834800976116160106791302087 absolute error = 1.51646724481e-20 relative error = 1.0034964415519200161345949701092e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.686 y[1] (analytic) = 1.5114744660633797398006457060986 y[1] (numeric) = 1.5114744660633797397854332793292 absolute error = 1.52124267694e-20 relative error = 1.0064627032053419126379015684288e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.4MB, time=22.65 NO POLE x[1] = -0.685 y[1] (analytic) = 1.5117647021129848185466364815913 y[1] (numeric) = 1.5117647021129848185313763048923 absolute error = 1.52601766990e-20 relative error = 1.0094280331900155430630883627863e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.684 y[1] (analytic) = 1.512054188528525725918339704776 y[1] (numeric) = 1.5120541885285257259030317825384 absolute error = 1.53079222376e-20 relative error = 1.0123924363118952934536093774063e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.683 y[1] (analytic) = 1.51234292559204208791139029925 y[1] (numeric) = 1.5123429255920420878960346358647 absolute error = 1.53556633853e-20 relative error = 1.0153559173286485687309059902135e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.682 y[1] (analytic) = 1.5126309135855142915547097018648 y[1] (numeric) = 1.5126309135855142915393063017223 absolute error = 1.54034001425e-20 relative error = 1.0183184810092268529585540962217e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.681 y[1] (analytic) = 1.5129181527908634936016989067152 y[1] (numeric) = 1.5129181527908634935862477742057 absolute error = 1.54511325095e-20 relative error = 1.0212801321074418748698468445681e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.68 y[1] (analytic) = 1.513204643489951629220449478141 y[1] (numeric) = 1.5132046434899516292049506176541 absolute error = 1.54988604869e-20 relative error = 1.0242408753884397871155980533588e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.4MB, time=23.05 NO POLE x[1] = -0.679 y[1] (analytic) = 1.5134903859645814206829726230514 y[1] (numeric) = 1.5134903859645814206674260389767 absolute error = 1.55465840747e-20 relative error = 1.0272007155692510556977510902694e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.678 y[1] (analytic) = 1.5137753804964963860534464128824 y[1] (numeric) = 1.513775380496496386037852109609 absolute error = 1.55943032734e-20 relative error = 1.0301596573915275680114773944066e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.677 y[1] (analytic) = 1.5140596273673808478754812454813 y[1] (numeric) = 1.5140596273673808478598392273979 absolute error = 1.56420180834e-20 relative error = 1.0331177055819165181188360860233e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.676 y[1] (analytic) = 1.514343126858859941858403637213 y[1] (numeric) = 1.5143431268588599418427139087081 absolute error = 1.56897285049e-20 relative error = 1.0360748648454965825346529810182e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.675 y[1] (analytic) = 1.5146258792524996255625584355725 y[1] (numeric) = 1.5146258792524996255468210010341 absolute error = 1.57374345384e-20 relative error = 1.0390311398988350615840136958604e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.674 memory used=225.0MB, alloc=4.4MB, time=23.45 y[1] (analytic) = 1.5149078848298066870836295425798 y[1] (numeric) = 1.5149078848298066870678444063957 absolute error = 1.57851361841e-20 relative error = 1.0419865354303962451678374890335e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.673 y[1] (analytic) = 1.5151891438722287537359792392306 y[1] (numeric) = 1.5151891438722287537201464057883 absolute error = 1.58328334423e-20 relative error = 1.0449410561269923017702058411972e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.672 y[1] (analytic) = 1.5154696566611543007350062012644 y[1] (numeric) = 1.5154696566611543007191256749509 absolute error = 1.58805263135e-20 relative error = 1.0478947066804087220607470480226e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.671 y[1] (analytic) = 1.5157494234779126598785222965077 y[1] (numeric) = 1.5157494234779126598625940817097 absolute error = 1.59282147980e-20 relative error = 1.0508474917610354123062793485030e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.67 y[1] (analytic) = 1.5160284446037740282271482540418 y[1] (numeric) = 1.5160284446037740282111723551459 absolute error = 1.59758988959e-20 relative error = 1.0537994160179116544646104692591e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.669 y[1] (analytic) = 1.5163067203199494767837282954391 y[1] (numeric) = 1.5163067203199494767677047168311 absolute error = 1.60235786080e-20 relative error = 1.0567504841381255868265591748051e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.4MB, time=23.86 NO POLE x[1] = -0.668 y[1] (analytic) = 1.516584250907590959171763818301 y[1] (numeric) = 1.5165842509075909591556925643667 absolute error = 1.60712539343e-20 relative error = 1.0597007007478979321941560845493e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.667 y[1] (analytic) = 1.5168610366477913203128662223296 y[1] (numeric) = 1.5168610366477913202967472974545 absolute error = 1.61189248751e-20 relative error = 1.0626500704851808902353823250719e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.666 y[1] (analytic) = 1.5171370778215843051032289681529 y[1] (numeric) = 1.5171370778215843050870623767219 absolute error = 1.61665914310e-20 relative error = 1.0655985979996723238367367247832e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.665 y[1] (analytic) = 1.5174123747099445670891189591178 y[1] (numeric) = 1.5174123747099445670729047055156 absolute error = 1.62142536022e-20 relative error = 1.0685462879066988340095041474482e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.664 y[1] (analytic) = 1.5176869275937876771413873362607 y[1] (numeric) = 1.5176869275937876771251254248716 absolute error = 1.62619113891e-20 relative error = 1.0714931448268056238323063315979e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.663 y[1] (analytic) = 1.5179607367539701321289997766546 y[1] (numeric) = 1.5179607367539701321126902118627 absolute error = 1.63095647919e-20 relative error = 1.0744391733594253879947661198116e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.4MB, time=24.27 NO POLE x[1] = -0.662 y[1] (analytic) = 1.5182338024712893635915863853279 y[1] (numeric) = 1.5182338024712893635752291715169 absolute error = 1.63572138110e-20 relative error = 1.0773843781092684446090114126505e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.661 y[1] (analytic) = 1.5185061250264837464110112709405 y[1] (numeric) = 1.5185061250264837463946064124937 absolute error = 1.64048584468e-20 relative error = 1.0803287636731717805763598045138e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.66 y[1] (analytic) = 1.5187777047002326074819618953976 y[1] (numeric) = 1.5187777047002326074655093966981 absolute error = 1.64524986995e-20 relative error = 1.0832723346269622275881723631471e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.659 y[1] (analytic) = 1.5190485417731562343815582875745 y[1] (numeric) = 1.5190485417731562343650581530048 absolute error = 1.65001345697e-20 relative error = 1.0862150955649981609011410438525e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.658 y[1] (analytic) = 1.5193186365258158840379822113166 y[1] (numeric) = 1.519318636525815884021434445259 absolute error = 1.65477660576e-20 relative error = 1.0891570510475222804726034788227e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.4MB, time=24.67 NO POLE x[1] = -0.657 y[1] (analytic) = 1.5195879892387137913981263778752 y[1] (numeric) = 1.5195879892387137913815309847118 absolute error = 1.65953931634e-20 relative error = 1.0920982056270392755491033428651e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.656 y[1] (analytic) = 1.5198566001922931780942637929304 y[1] (numeric) = 1.5198566001922931780776207770427 absolute error = 1.66430158877e-20 relative error = 1.0950385638746652509300957319109e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.655 y[1] (analytic) = 1.5201244696669382611097373283443 y[1] (numeric) = 1.5201244696669382610930466941136 absolute error = 1.66906342307e-20 relative error = 1.0979781303275083160462244073189e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.654 y[1] (analytic) = 1.520391597942974261443669608785 y[1] (numeric) = 1.5203915979429742614269313605924 absolute error = 1.67382481926e-20 relative error = 1.1009169095150317976528619604489e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.653 y[1] (analytic) = 1.5206579853006674127746933033508 y[1] (numeric) = 1.5206579853006674127579074455767 absolute error = 1.67858577741e-20 relative error = 1.1038549059919655775435548799384e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.652 y[1] (analytic) = 1.5209236320202249701237019123168 y[1] (numeric) = 1.5209236320202249701068684493417 absolute error = 1.68334629751e-20 relative error = 1.1067921242528337296253135365156e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.4MB, time=25.07 NO POLE x[1] = -0.651 y[1] (analytic) = 1.5211885383817952185156211391253 y[1] (numeric) = 1.521188538381795218498740075329 absolute error = 1.68810637963e-20 relative error = 1.1097285688372120370050862919634e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.65 y[1] (analytic) = 1.5214527046654674816402009377242 y[1] (numeric) = 1.5214527046654674816232722774863 absolute error = 1.69286602379e-20 relative error = 1.1126642442442680935756971585376e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.649 y[1] (analytic) = 1.5217161311512721305118283253608 y[1] (numeric) = 1.5217161311512721304948520730605 absolute error = 1.69762523003e-20 relative error = 1.1155991549788210394078804630962e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.648 y[1] (analytic) = 1.5219788181191805921283610509242 y[1] (numeric) = 1.5219788181191805921113372109405 absolute error = 1.70238399837e-20 relative error = 1.1185333055250789556863780929595e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.647 y[1] (analytic) = 1.5222407658491053581289822089267 y[1] (numeric) = 1.5222407658491053581119107856381 absolute error = 1.70714232886e-20 relative error = 1.1214667003795267667427852233359e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.4MB, time=25.47 NO POLE x[1] = -0.646 y[1] (analytic) = 1.5225019746208999934510758892046 y[1] (numeric) = 1.5225019746208999934339568869894 absolute error = 1.71190022152e-20 relative error = 1.1243993440115306245684030944745e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.645 y[1] (analytic) = 1.522762444714359144986123952415 y[1] (numeric) = 1.5227624447143591449689573756511 absolute error = 1.71665767639e-20 relative error = 1.1273312408962199350361901855640e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.644 y[1] (analytic) = 1.5230221764092185502346240213949 y[1] (numeric) = 1.5230221764092185502174098744598 absolute error = 1.72141469351e-20 relative error = 1.1302623955013742761997802894908e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.643 y[1] (analytic) = 1.5232811699851550459600287784445 y[1] (numeric) = 1.5232811699851550459427670657155 absolute error = 1.72617127290e-20 relative error = 1.1331928122743237187239950402263e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.642 y[1] (analytic) = 1.5235394257217865768417066585884 y[1] (numeric) = 1.5235394257217865768243973844423 absolute error = 1.73092741461e-20 relative error = 1.1361224956748080431026743029837e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.641 y[1] (analytic) = 1.5237969438986722041269240288614 y[1] (numeric) = 1.5237969438986722041095671976747 absolute error = 1.73568311867e-20 relative error = 1.1390514501421769309106434826390e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.4MB, time=25.87 Complex estimate of poles used Radius of convergence = 1.202 Order of pole = 7.262 x[1] = -0.64 y[1] (analytic) = 1.5240537247953121142818489436586 y[1] (numeric) = 1.5240537247953121142644445598076 absolute error = 1.74043838510e-20 relative error = 1.1419796801019920779060247736995e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.639 y[1] (analytic) = 1.5243097686911476276415765661844 y[1] (numeric) = 1.5243097686911476276241246340448 absolute error = 1.74519321396e-20 relative error = 1.1449071899988638738176094121544e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.638 y[1] (analytic) = 1.524565075865561207059176346023 y[1] (numeric) = 1.5245650758655612070416768699706 absolute error = 1.74994760524e-20 relative error = 1.1478339842243070084176401889752e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.637 y[1] (analytic) = 1.5248196465978764665537610428543 y[1] (numeric) = 1.524819646597876466536214027264 absolute error = 1.75470155903e-20 relative error = 1.1507600672282967405801495258536e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.636 y[1] (analytic) = 1.525073481167358179957577686321 y[1] (numeric) = 1.5250734811673581799399831355677 absolute error = 1.75945507533e-20 relative error = 1.1536854433946591613115321272898e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.635 memory used=251.7MB, alloc=4.4MB, time=26.26 y[1] (analytic) = 1.5253265798532122895621205620582 y[1] (numeric) = 1.5253265798532122895444784805165 absolute error = 1.76420815417e-20 relative error = 1.1566101171198210883870561812253e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.634 y[1] (analytic) = 1.5255789429345859147632663138792 y[1] (numeric) = 1.5255789429345859147455767059232 absolute error = 1.76896079560e-20 relative error = 1.1595340928062677527279739513830e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.633 y[1] (analytic) = 1.5258305706905673607054312521097 y[1] (numeric) = 1.5258305706905673606876941221132 absolute error = 1.77371299965e-20 relative error = 1.1624573748363456099366921313180e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.632 y[1] (analytic) = 1.5260814634001861269247509580556 y[1] (numeric) = 1.526081463400186126906966310392 absolute error = 1.77846476636e-20 relative error = 1.1653799675919601314059613112126e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.631 y[1] (analytic) = 1.5263316213424129159912822745793 y[1] (numeric) = 1.5263316213424129159734501136219 absolute error = 1.78321609574e-20 relative error = 1.1683018754283924699457434094081e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.63 y[1] (analytic) = 1.5265810447961596421502277727575 y[1] (numeric) = 1.526581044796159642132348102879 absolute error = 1.78796698785e-20 relative error = 1.1712231027267488025057595379445e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.4MB, time=26.66 NO POLE x[1] = -0.629 y[1] (analytic) = 1.5268297340402794399621827845801 y[1] (numeric) = 1.526829734040279439944255610153 absolute error = 1.79271744271e-20 relative error = 1.1741436538350163877463330374215e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.628 y[1] (analytic) = 1.5270776893535666729424050916494 y[1] (numeric) = 1.5270776893535666729244304170458 absolute error = 1.79746746036e-20 relative error = 1.1770635331074040482280811224094e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.627 y[1] (analytic) = 1.5273249110147569421991073598266 y[1] (numeric) = 1.5273249110147569421810851894184 absolute error = 1.80221704082e-20 relative error = 1.1799827448781702368487649159905e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.626 y[1] (analytic) = 1.5275713993025270950707724097698 y[1] (numeric) = 1.5275713993025270950527027479283 absolute error = 1.80696618415e-20 relative error = 1.1829012935009398587998186981548e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.625 y[1] (analytic) = 1.5278171544954952337624914132957 y[1] (numeric) = 1.5278171544954952337443742643921 absolute error = 1.81171489036e-20 relative error = 1.1858191832898037002769325261989e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.624 y[1] (analytic) = 1.5280621768722207239813251054969 y[1] (numeric) = 1.5280621768722207239631604739019 absolute error = 1.81646315950e-20 relative error = 1.1887364185782709016970609386137e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.4MB, time=27.05 NO POLE x[1] = -0.623 y[1] (analytic) = 1.5283064667112042035706881025326 y[1] (numeric) = 1.5283064667112042035524759926167 absolute error = 1.82121099159e-20 relative error = 1.1916530036734735470194555744337e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.622 y[1] (analytic) = 1.5285500242908875911437564150094 y[1] (numeric) = 1.5285500242908875911254968311426 absolute error = 1.82595838668e-20 relative error = 1.1945689428954630782472809876630e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.621 y[1] (analytic) = 1.5287928498896540947158982468576 y[1] (numeric) = 1.5287928498896540946975911934097 absolute error = 1.83070534479e-20 relative error = 1.1974842405379757516432706977145e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.62 y[1] (analytic) = 1.5290349437858282203361281696052 y[1] (numeric) = 1.5290349437858282203177736509456 absolute error = 1.83545186596e-20 relative error = 1.2003989009011762447415725216245e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.619 y[1] (analytic) = 1.5292763062576757807175847619408 y[1] (numeric) = 1.5292763062576757806991827824385 absolute error = 1.84019795023e-20 relative error = 1.2033129282785967663833336732137e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.4MB, time=27.45 NO POLE x[1] = -0.618 y[1] (analytic) = 1.5295169375834039038670318044531 y[1] (numeric) = 1.5295169375834039038485823684769 absolute error = 1.84494359762e-20 relative error = 1.2062263269440885255876235534393e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.617 y[1] (analytic) = 1.5297568380411610417133831194267 y[1] (numeric) = 1.529756838041161041694886231345 absolute error = 1.84968880817e-20 relative error = 1.2091391011780073344042992720331e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.616 y[1] (analytic) = 1.5299960079090369787352511455647 y[1] (numeric) = 1.5299960079090369787167068097455 absolute error = 1.85443358192e-20 relative error = 1.2120512552541587050373856792240e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.615 y[1] (analytic) = 1.5302344474650628405875193375053 y[1] (numeric) = 1.5302344474650628405689275583164 absolute error = 1.85917791889e-20 relative error = 1.2149627934267551827506375349800e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.614 y[1] (analytic) = 1.5304721569872111027269384799903 y[1] (numeric) = 1.5304721569872111027082992617989 absolute error = 1.86392181914e-20 relative error = 1.2178737199696572212102341685933e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.613 y[1] (analytic) = 1.5307091367533955990367470065358 y[1] (numeric) = 1.5307091367533955990180603537091 absolute error = 1.86866528267e-20 relative error = 1.2207840391110507343045154108528e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.4MB, time=27.85 NO POLE x[1] = -0.612 y[1] (analytic) = 1.5309453870414715304503154124524 y[1] (numeric) = 1.5309453870414715304315813293569 absolute error = 1.87340830955e-20 relative error = 1.2236937551184192223394743901577e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.611 y[1] (analytic) = 1.5311809081292354735738148520481 y[1] (numeric) = 1.5311809081292354735550333430504 absolute error = 1.87815089977e-20 relative error = 1.2266028722005717412747139703184e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.61 y[1] (analytic) = 1.5314157002944253893079100098493 y[1] (numeric) = 1.5314157002944253892890810793153 absolute error = 1.88289305340e-20 relative error = 1.2295113946121883359187156559979e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.609 y[1] (analytic) = 1.5316497638147206314684763356589 y[1] (numeric) = 1.5316497638147206314495999879543 absolute error = 1.88763477046e-20 relative error = 1.2324193265689308555220964691831e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.608 y[1] (analytic) = 1.5318830989677419554063417332716 y[1] (numeric) = 1.5318830989677419553874179727617 absolute error = 1.89237605099e-20 relative error = 1.2353266722931899275967984243044e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.607 y[1] (analytic) = 1.5321157060310515266260527926535 y[1] (numeric) = 1.5321157060310515266070816237033 absolute error = 1.89711689502e-20 relative error = 1.2382334359945207437831378139436e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=28.25 NO POLE x[1] = -0.606 y[1] (analytic) = 1.5323475852821529294036656553904 y[1] (numeric) = 1.5323475852821529293846470823647 absolute error = 1.90185730257e-20 relative error = 1.2411396218696744445813927133849e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.605 y[1] (analytic) = 1.5325787369984911754035616031996 y[1] (numeric) = 1.5325787369984911753844956304626 absolute error = 1.90659727370e-20 relative error = 1.2440452341352541197681677320940e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.604 y[1] (analytic) = 1.5328091614574527122942874592932 y[1] (numeric) = 1.5328091614574527122751740912088 absolute error = 1.91133680844e-20 relative error = 1.2469502769820536150217114794507e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.603 y[1] (analytic) = 1.5330388589363654323634208923763 y[1] (numeric) = 1.5330388589363654323442601333082 absolute error = 1.91607590681e-20 relative error = 1.2498547545881444397990561693225e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.602 y[1] (analytic) = 1.5332678297124986811314607130533 y[1] (numeric) = 1.533267829712498681112252567365 absolute error = 1.92081456883e-20 relative error = 1.2527586711254287322864912823372e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.4MB, time=28.65 NO POLE x[1] = -0.601 y[1] (analytic) = 1.5334960740630632659647422524118 y[1] (numeric) = 1.533496074063063265945486724466 absolute error = 1.92555279458e-20 relative error = 1.2556620307987915014315892105797e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.6 y[1] (analytic) = 1.5337235922652114646873779125413 y[1] (numeric) = 1.5337235922652114646680750067007 absolute error = 1.93029058406e-20 relative error = 1.2585648377548163684861757064821e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.599 y[1] (analytic) = 1.533950384596037034192222978746 y[1] (numeric) = 1.5339503845960370341728726993729 absolute error = 1.93502793731e-20 relative error = 1.2614670961600795122416882914678e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.598 y[1] (analytic) = 1.5341764513325752190508667831932 y[1] (numeric) = 1.5341764513325752190314691346496 absolute error = 1.93976485436e-20 relative error = 1.2643688101685653275596429977584e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.597 y[1] (analytic) = 1.5344017927518027601226493097413 y[1] (numeric) = 1.5344017927518027601032042963887 absolute error = 1.94450133526e-20 relative error = 1.2672699839412485046500675017277e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.596 y[1] (analytic) = 1.5346264091306379031627033296767 y[1] (numeric) = 1.5346264091306379031432109558765 absolute error = 1.94923738002e-20 relative error = 1.2701706216070126115849948161129e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.4MB, time=29.06 NO POLE x[1] = -0.595 y[1] (analytic) = 1.5348503007459404074290221580895 y[1] (numeric) = 1.5348503007459404074094824282025 absolute error = 1.95397298870e-20 relative error = 1.2730707273213323168884703615212e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.594 y[1] (analytic) = 1.5350734678745115542885531206029 y[1] (numeric) = 1.5350734678745115542689660389898 absolute error = 1.95870816131e-20 relative error = 1.2759703052011316049751766729040e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.593 y[1] (analytic) = 1.5352959107930941558223168201718 y[1] (numeric) = 1.5352959107930941558026823911929 absolute error = 1.96344289789e-20 relative error = 1.2788693593769400356299513824266e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.592 y[1] (analytic) = 1.5355176297783725634295522936538 y[1] (numeric) = 1.5355176297783725634098705216689 absolute error = 1.96817719849e-20 relative error = 1.2817678939798789106843807151563e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.591 y[1] (analytic) = 1.5357386251069726764308881478502 y[1] (numeric) = 1.5357386251069726764111590372189 absolute error = 1.97291106313e-20 relative error = 1.2846659131156357084881482582449e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.59 y[1] (analytic) = 1.5359588970554619506705397647102 y[1] (numeric) = 1.5359588970554619506507633197919 memory used=282.2MB, alloc=4.4MB, time=29.46 absolute error = 1.97764449183e-20 relative error = 1.2875634208840350374725803744372e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.589 y[1] (analytic) = 1.5361784459003494071175326653811 y[1] (numeric) = 1.5361784459003494070977088905345 absolute error = 1.98237748466e-20 relative error = 1.2904604214116119333215965284700e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.588 y[1] (analytic) = 1.5363972719180856404659521227806 y[1] (numeric) = 1.5363972719180856404460810223644 absolute error = 1.98711004162e-20 relative error = 1.2933569187735087983482579083592e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.587 y[1] (analytic) = 1.5366153753850628277342191123644 y[1] (numeric) = 1.5366153753850628277143006907368 absolute error = 1.99184216276e-20 relative error = 1.2962529170716264545339911685818e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.586 y[1] (analytic) = 1.5368327565776147368633926907497 y[1] (numeric) = 1.5368327565776147368434269522685 absolute error = 1.99657384812e-20 relative error = 1.2991484203955844932594033003496e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.585 y[1] (analytic) = 1.5370494157720167353144988918516 y[1] (numeric) = 1.5370494157720167352944858408745 absolute error = 2.00130509771e-20 relative error = 1.3020434328097387030101061738068e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.4MB, time=29.85 NO POLE x[1] = -0.584 y[1] (analytic) = 1.5372653532444857986648862301832 y[1] (numeric) = 1.5372653532444857986448258710673 absolute error = 2.00603591159e-20 relative error = 1.3049379584052599154826355748738e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.583 y[1] (analytic) = 1.5374805692711805192036079009593 y[1] (numeric) = 1.5374805692711805191835002380614 absolute error = 2.01076628979e-20 relative error = 1.3078320012481025630903085387835e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.582 y[1] (analytic) = 1.537695064128201114525830766641 y[1] (numeric) = 1.5376950641282011145056758043178 absolute error = 2.01549623232e-20 relative error = 1.3107255653855461174063268758386e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.581 y[1] (analytic) = 1.5379088380915894361262712195496 y[1] (numeric) = 1.5379088380915894361060689621573 absolute error = 2.02022573923e-20 relative error = 1.3136186548852425595554772146200e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.58 y[1] (analytic) = 1.53812189143732897799165801017 y[1] (numeric) = 1.5381218914373289779714084620643 absolute error = 2.02495481057e-20 relative error = 1.3165112738092168991244916428946e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.579 y[1] (analytic) = 1.5383342244413448851922221307589 y[1] (numeric) = 1.5383342244413448851719252962954 absolute error = 2.02968344635e-20 relative error = 1.3194034261878893531961630771783e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.4MB, time=30.25 NO POLE x[1] = -0.578 y[1] (analytic) = 1.5385458373795039624722138438662 y[1] (numeric) = 1.5385458373795039624518697274001 absolute error = 2.03441164661e-20 relative error = 1.3222951160656149914209174122294e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.577 y[1] (analytic) = 1.5387567305276146828394469453691 y[1] (numeric) = 1.5387567305276146828190555512552 absolute error = 2.03913941139e-20 relative error = 1.3251863474811981654634534059923e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.576 y[1] (analytic) = 1.5389669041614271961538703516122 y[1] (numeric) = 1.538966904161427196133431684205 absolute error = 2.04386674072e-20 relative error = 1.3280771244614187190617443400790e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.575 y[1] (analytic) = 1.5391763585566333377151671002423 y[1] (numeric) = 1.5391763585566333376946811638961 absolute error = 2.04859363462e-20 relative error = 1.3309674510210604114203129888829e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.574 y[1] (analytic) = 1.5393850939888666368493808543157 y[1] (numeric) = 1.5393850939888666368288476533842 absolute error = 2.05332009315e-20 relative error = 1.3338573311954197200114725051181e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=30.65 NO POLE x[1] = -0.573 y[1] (analytic) = 1.5395931107337023254945699992512 y[1] (numeric) = 1.5395931107337023254739895380878 absolute error = 2.05804611634e-20 relative error = 1.3367467689948455192756280137879e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.572 y[1] (analytic) = 1.5398004090666573467854894221952 y[1] (numeric) = 1.5398004090666573467648617051532 absolute error = 2.06277170420e-20 relative error = 1.3396357684112703947325450757932e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.571 y[1] (analytic) = 1.5400069892631903636373000633582 y[1] (numeric) = 1.5400069892631903636166250947904 absolute error = 2.06749685678e-20 relative error = 1.3425243334572038961606781505537e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.57 y[1] (analytic) = 1.5402128515987017673283063288728 y[1] (numeric) = 1.5402128515987017673075841131316 absolute error = 2.07222157412e-20 relative error = 1.3454124681332756764169274112871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.569 y[1] (analytic) = 1.5404179963485336860817214547198 y[1] (numeric) = 1.5404179963485336860609519961574 absolute error = 2.07694585624e-20 relative error = 1.3483001764217716718800814222201e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.568 y[1] (analytic) = 1.54062242378796999364646091126 y[1] (numeric) = 1.5406224237879699936256442142282 absolute error = 2.08166970318e-20 relative error = 1.3511874623126297467282413404736e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.4MB, time=31.05 NO POLE x[1] = -0.567 y[1] (analytic) = 1.5408261341922363178769639379029 y[1] (numeric) = 1.5408261341922363178561000067532 absolute error = 2.08639311497e-20 relative error = 1.3540743297839843990539487287018e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.566 y[1] (analytic) = 1.5410291278365000493120432974357 y[1] (numeric) = 1.5410291278365000492911321365191 absolute error = 2.09111609166e-20 relative error = 1.3569607828216619024717311155394e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.565 y[1] (analytic) = 1.5412314049958703497527633395302 y[1] (numeric) = 1.5412314049958703497318049531976 absolute error = 2.09583863326e-20 relative error = 1.3598468253802651340203099480497e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.564 y[1] (analytic) = 1.5414329659453981608393464629389 y[1] (numeric) = 1.5414329659453981608183408555408 absolute error = 2.10056073981e-20 relative error = 1.3627324614286260818674662634079e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.563 y[1] (analytic) = 1.5416338109600762126271080658813 y[1] (numeric) = 1.5416338109600762126060552417677 absolute error = 2.10528241136e-20 relative error = 1.3656176949368429689204042247588e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.4MB, time=31.45 NO POLE x[1] = -0.562 y[1] (analytic) = 1.5418339403148390321614200741184 y[1] (numeric) = 1.5418339403148390321403200376391 absolute error = 2.11000364793e-20 relative error = 1.3685025298503559909904817863469e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.561 y[1] (analytic) = 1.5420333542845629520517031362045 y[1] (numeric) = 1.542033354284562952030555891709 absolute error = 2.11472444955e-20 relative error = 1.3713869701159227165319617608445e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.56 y[1] (analytic) = 1.5422320531440661190444475753984 y[1] (numeric) = 1.5422320531440661190232531272357 absolute error = 2.11944481627e-20 relative error = 1.3742710196881208950455374937552e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.559 y[1] (analytic) = 1.542430037168108502595263187709 y[1] (numeric) = 1.5424300371681085025740215402279 absolute error = 2.12416474811e-20 relative error = 1.3771546824969465947215492420522e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.558 y[1] (analytic) = 1.542627306631391903439957975545 y[1] (numeric) = 1.5426273066313919034186691330939 absolute error = 2.12888424511e-20 relative error = 1.3800379624802617127083229843508e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.557 y[1] (analytic) = 1.5428238618085599621646459064292 y[1] (numeric) = 1.5428238618085599621433098733563 absolute error = 2.13360330729e-20 relative error = 1.3829208635578819057977607739030e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.4MB, time=31.85 NO POLE x[1] = -0.556 y[1] (analytic) = 1.543019702974198167774883786233 y[1] (numeric) = 1.5430197029741981677535005668859 absolute error = 2.13832193471e-20 relative error = 1.3858033896704922805235724130526e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.555 y[1] (analytic) = 1.5432148304028338662638373363767 y[1] (numeric) = 1.5432148304028338662424069351029 absolute error = 2.14304012738e-20 relative error = 1.3886855447213337322550238483487e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.554 y[1] (analytic) = 1.5434092443689362691794765644394 y[1] (numeric) = 1.543409244368936269157998985586 absolute error = 2.14775788534e-20 relative error = 1.3915673326280792574987070312350e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.553 y[1] (analytic) = 1.5436029451469164621908005176099 y[1] (numeric) = 1.5436029451469164621692757655235 absolute error = 2.15247520864e-20 relative error = 1.3944487573098874347312631978658e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.552 y[1] (analytic) = 1.5437959330111274136530915084054 y[1] (numeric) = 1.5437959330111274136315195874324 absolute error = 2.15719209730e-20 relative error = 1.3973298226615106214646598440606e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.551 memory used=309.0MB, alloc=4.4MB, time=32.25 y[1] (analytic) = 1.5439882082358639831721989020798 y[1] (numeric) = 1.5439882082358639831505798165664 absolute error = 2.16190855134e-20 relative error = 1.4002105325727596272598753944779e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.55 y[1] (analytic) = 1.5441797710953629301678525551331 y[1] (numeric) = 1.5441797710953629301461863094248 absolute error = 2.16662457083e-20 relative error = 1.4030908909609055753820939917924e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.549 y[1] (analytic) = 1.5443706218638029224360059943265 y[1] (numeric) = 1.5443706218638029224142925927689 absolute error = 2.17134015576e-20 relative error = 1.4059709016865053574877673118139e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.548 y[1] (analytic) = 1.5445607608153045447102094256063 y[1] (numeric) = 1.5445607608153045446884488725444 absolute error = 2.17605530619e-20 relative error = 1.4088505686505707477390703412978e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.547 y[1] (analytic) = 1.5447501882239303072220126623242 y[1] (numeric) = 1.5447501882239303072002049621027 absolute error = 2.18077002215e-20 relative error = 1.4117298957298271523076324779144e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.546 y[1] (analytic) = 1.5449389043636846542603980621418 y[1] (numeric) = 1.5449389043636846542385432191051 absolute error = 2.18548430367e-20 relative error = 1.4146088867961657958817573158788e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.4MB, time=32.64 NO POLE x[1] = -0.545 y[1] (analytic) = 1.5451269095085139727302435619971 y[1] (numeric) = 1.5451269095085139727083415804891 absolute error = 2.19019815080e-20 relative error = 1.4174875457296095649224069319810e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.544 y[1] (analytic) = 1.5453142039323066007098159005032 y[1] (numeric) = 1.5453142039323066006878667848677 absolute error = 2.19491156355e-20 relative error = 1.4203658763794999676375910406910e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.543 y[1] (analytic) = 1.5455007879088928360072941171454 y[1] (numeric) = 1.5455007879088928359852978717257 absolute error = 2.19962454197e-20 relative error = 1.4232438826162977755888005945857e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.542 y[1] (analytic) = 1.5456866617120449447163234176315 y[1] (numeric) = 1.5456866617120449446942800467707 absolute error = 2.20433708608e-20 relative error = 1.4261215682863018164784588067074e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.541 y[1] (analytic) = 1.5458718256154771697705994947485 y[1] (numeric) = 1.5458718256154771697485090027893 absolute error = 2.20904919592e-20 relative error = 1.4289989372440265404926776666366e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.54 y[1] (analytic) = 1.5460562798928457394974833940672 y[1] (numeric) = 1.5460562798928457394753457853518 absolute error = 2.21376087154e-20 relative error = 1.4318759933457478101626869592596e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.4MB, time=33.04 NO POLE x[1] = -0.539 y[1] (analytic) = 1.5462400248177488761706470138315 y[1] (numeric) = 1.546240024817748876148462292702 absolute error = 2.21847211295e-20 relative error = 1.4347527404171841298431501705824e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.538 y[1] (analytic) = 1.5464230606637268045617493283635 y[1] (numeric) = 1.5464230606637268045395174991615 absolute error = 2.22318292020e-20 relative error = 1.4376291823052657897404901330230e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.537 y[1] (analytic) = 1.5466053877042617604911434243047 y[1] (numeric) = 1.5466053877042617604688644913716 absolute error = 2.22789329331e-20 relative error = 1.4405053228328805668028186101025e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.536 y[1] (analytic) = 1.5467870062127779993776144390114 y[1] (numeric) = 1.5467870062127779993552884066882 absolute error = 2.23260323232e-20 relative error = 1.4433811658312316099163699576110e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.535 y[1] (analytic) = 1.5469679164626418047871484904111 y[1] (numeric) = 1.5469679164626418047647753630384 absolute error = 2.23731273727e-20 relative error = 1.4462567151269226343335149256091e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.4MB, time=33.43 NO POLE x[1] = -0.534 y[1] (analytic) = 1.5471481187271614969807326876229 y[1] (numeric) = 1.547148118727161496958312469541 absolute error = 2.24202180819e-20 relative error = 1.4491319745355156900847611085418e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.533 y[1] (analytic) = 1.5473276132795874414611863116365 y[1] (numeric) = 1.5473276132795874414387190071855 absolute error = 2.24673044510e-20 relative error = 1.4520069478615561244194776559842e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.532 y[1] (analytic) = 1.5475064003931120575190232553384 y[1] (numeric) = 1.5475064003931120574965088688578 absolute error = 2.25143864806e-20 relative error = 1.4548816389309074815284914328559e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.531 y[1] (analytic) = 1.547684480340869826777345812164 y[1] (numeric) = 1.5476844803408698267547843479932 absolute error = 2.25614641708e-20 relative error = 1.4577560515326062759448572512510e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.159 Order of pole = 11.84 x[1] = -0.53 y[1] (analytic) = 1.5478618533959373017357699026535 y[1] (numeric) = 1.5478618533959373017131613651316 absolute error = 2.26085375219e-20 relative error = 1.4606301894641252742015652415539e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.529 y[1] (analytic) = 1.5480385198313331143133818281754 y[1] (numeric) = 1.5480385198313331142907262216409 absolute error = 2.26556065345e-20 relative error = 1.4635040565378467916973868213052e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.4MB, time=33.85 NO POLE x[1] = -0.528 y[1] (analytic) = 1.5482144799200179843907266410789 y[1] (numeric) = 1.5482144799200179843680239698701 absolute error = 2.27026712088e-20 relative error = 1.4663776565358591922058116768120e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.527 y[1] (analytic) = 1.5483897339348947283508282205297 y[1] (numeric) = 1.5483897339348947283280784889846 absolute error = 2.27497315451e-20 relative error = 1.4692509932422840418004569080745e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.526 y[1] (analytic) = 1.5485642821488082676192411432737 y[1] (numeric) = 1.5485642821488082675964443557298 absolute error = 2.27967875439e-20 relative error = 1.4721240704497508017273169162422e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.525 y[1] (analytic) = 1.5487381248345456372031344385689 y[1] (numeric) = 1.5487381248345456371802905993636 absolute error = 2.28438392053e-20 relative error = 1.4749968919206690743020815624922e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.524 y[1] (analytic) = 1.5489112622648359942294073165184 y[1] (numeric) = 1.5489112622648359942065164299886 absolute error = 2.28908865298e-20 relative error = 1.4778694614389129361489184878574e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.4MB, time=34.26 NO POLE x[1] = -0.523 y[1] (analytic) = 1.549083694712350626481836959029 y[1] (numeric) = 1.5490836947123506264588990295114 absolute error = 2.29379295176e-20 relative error = 1.4807417827646390959879132338181e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.522 y[1] (analytic) = 1.5492554224497029609372584626154 y[1] (numeric) = 1.5492554224497029609142734944462 absolute error = 2.29849681692e-20 relative error = 1.4836138596730465109951874072291e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.521 y[1] (analytic) = 1.5494264457494485723007770222594 y[1] (numeric) = 1.5494264457494485722777450197746 absolute error = 2.30320024848e-20 relative error = 1.4864856959156621451949466575682e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.52 y[1] (analytic) = 1.5495967648840851915400124455322 y[1] (numeric) = 1.5495967648840851915169334130673 absolute error = 2.30790324649e-20 relative error = 1.4893572952590918487161676295015e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.519 y[1] (analytic) = 1.5497663801260527144183760861742 y[1] (numeric) = 1.5497663801260527143952500280645 absolute error = 2.31260581097e-20 relative error = 1.4922286614463145901331219312959e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.518 y[1] (analytic) = 1.5499352917477332100273802863254 y[1] (numeric) = 1.549935291747733210004207206906 absolute error = 2.31730794194e-20 relative error = 1.4950997982160690272124464918327e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.4MB, time=34.67 NO POLE x[1] = -0.517 y[1] (analytic) = 1.5501035000214509293179804165903 y[1] (numeric) = 1.5501035000214509292947603201956 absolute error = 2.32200963947e-20 relative error = 1.4979707093351296453389384299678e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.516 y[1] (analytic) = 1.5502710052194723136309496031122 y[1] (numeric) = 1.5502710052194723136076824940764 absolute error = 2.32671090358e-20 relative error = 1.5008413985338046529939942980344e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.515 y[1] (analytic) = 1.5504378076140060032262862308297 y[1] (numeric) = 1.5504378076140060032029721134868 absolute error = 2.33141173429e-20 relative error = 1.5037118695382225576629719146376e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.514 y[1] (analytic) = 1.5506039074772028458116543120774 y[1] (numeric) = 1.550603907477202845788293190761 absolute error = 2.33611213164e-20 relative error = 1.5065821260832504286886852977909e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.513 y[1] (analytic) = 1.5507693050811559050698568096864 y[1] (numeric) = 1.5507693050811559050464486887297 absolute error = 2.34081209567e-20 relative error = 1.5094521718996102020666613928117e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.512 y[1] (analytic) = 1.5509340006979004691853420037349 y[1] (numeric) = 1.5509340006979004691618868874709 absolute error = 2.34551162640e-20 relative error = 1.5123220107010032400943238256508e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.4MB, time=35.09 NO POLE x[1] = -0.511 y[1] (analytic) = 1.551097994599414059369742991091 y[1] (numeric) = 1.5510979945994140593462408838523 absolute error = 2.35021072387e-20 relative error = 1.5151916462099252928452857136395e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.51 y[1] (analytic) = 1.5512612870576164383864504068832 y[1] (numeric) = 1.5512612870576164383629013130019 absolute error = 2.35490938813e-20 relative error = 1.5180610821512331901526820242276e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.509 y[1] (analytic) = 1.5514238783443696190742184570261 y[1] (numeric) = 1.5514238783443696190506223808343 absolute error = 2.35960761918e-20 relative error = 1.5209303222134871668520968103411e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.508 y[1] (analytic) = 1.5515857687314778728698043509257 y[1] (numeric) = 1.5515857687314778728461612967548 absolute error = 2.36430541709e-20 relative error = 1.5237993701263277365016705245104e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.507 y[1] (analytic) = 1.5517469584906877383296412234747 y[1] (numeric) = 1.551746958490687738305951195656 absolute error = 2.36900278187e-20 relative error = 1.5266682295766953385252222829144e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.4MB, time=35.49 NO POLE x[1] = -0.506 y[1] (analytic) = 1.5519074478936880296505446354502 y[1] (numeric) = 1.5519074478936880296268076383146 absolute error = 2.37369971356e-20 relative error = 1.5295369042668632659431740261846e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.505 y[1] (analytic) = 1.5520672372121098451894527414109 y[1] (numeric) = 1.5520672372121098451656687792888 absolute error = 2.37839621221e-20 relative error = 1.5324053979015612248785702057492e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.504 y[1] (analytic) = 1.5522263267175265759822002141897 y[1] (numeric) = 1.5522263267175265759583692914113 absolute error = 2.38309227784e-20 relative error = 1.5352737141622221840101077831019e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.503 y[1] (analytic) = 1.5523847166814539142613260150681 y[1] (numeric) = 1.5523847166814539142374481359634 absolute error = 2.38778791047e-20 relative error = 1.5381418567263369082568666599510e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.502 y[1] (analytic) = 1.5525424073753498619729150987128 y[1] (numeric) = 1.5525424073753498619489902676113 absolute error = 2.39248311015e-20 relative error = 1.5410098292867965269552185986081e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.501 y[1] (analytic) = 1.552699399070614739292474141947 y[1] (numeric) = 1.5526993990706147392685023631779 absolute error = 2.39717787691e-20 relative error = 1.5438776355197001549610923482295e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.4MB, time=35.89 NO POLE x[1] = -0.5 y[1] (analytic) = 1.5528556920385911931398413854228 y[1] (numeric) = 1.552855692038591193115822663315 absolute error = 2.40187221078e-20 relative error = 1.5467452790972602843743317778104e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.499 y[1] (analytic) = 1.5530112865505642056931306772547 y[1] (numeric) = 1.5530112865505642056690650161367 absolute error = 2.40656611180e-20 relative error = 1.5496127636942611887913428087919e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.498 y[1] (analytic) = 1.5531661828777611029017098076656 y[1] (numeric) = 1.5531661828777611028775972118656 absolute error = 2.41125958000e-20 relative error = 1.5524800929751980405643040090379e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.497 y[1] (analytic) = 1.5533203812913515629982132236912 y[1] (numeric) = 1.5533203812913515629740536975371 absolute error = 2.41595261541e-20 relative error = 1.5553472706007371583605522379446e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.496 y[1] (analytic) = 1.5534738820624476250095892129814 y[1] (numeric) = 1.5534738820624476249853827608007 absolute error = 2.42064521807e-20 relative error = 1.5582143002341723423286989929486e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.4MB, time=36.29 NO POLE x[1] = -0.495 y[1] (analytic) = 1.55362668546210369726718164573 y[1] (numeric) = 1.5536266854621036972429282718499 absolute error = 2.42533738801e-20 relative error = 1.5610811855285677024999179421872e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.494 y[1] (analytic) = 1.5537787917613165659158463637578 y[1] (numeric) = 1.5537787917613165658915460725051 absolute error = 2.43002912527e-20 relative error = 1.5639479301396517340896593217700e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.222 Order of pole = 8.057 x[1] = -0.493 y[1] (analytic) = 1.5539302012310254034221023057661 y[1] (numeric) = 1.5539302012310254033977551014675 absolute error = 2.43472042986e-20 relative error = 1.5668145377000920000397247723501e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.492 y[1] (analytic) = 1.5540809141421117770813174577732 y[1] (numeric) = 1.5540809141421117770569233447546 absolute error = 2.43941130186e-20 relative error = 1.5696810118838701869228300816117e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.491 y[1] (analytic) = 1.5542309307653996575239297177344 y[1] (numeric) = 1.5542309307653996574994887003217 absolute error = 2.44410174127e-20 relative error = 1.5725473563097684538039287039499e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.49 y[1] (analytic) = 1.5543802513716554272207027633469 y[1] (numeric) = 1.5543802513716554271962148458658 absolute error = 2.44879174811e-20 relative error = 1.5754135746057474805633042195203e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.4MB, time=36.69 NO POLE x[1] = -0.489 y[1] (analytic) = 1.5545288762315878889870170120269 y[1] (numeric) = 1.5545288762315878889624821988023 absolute error = 2.45348132246e-20 relative error = 1.5782796704346902996306291496120e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.488 y[1] (analytic) = 1.554676805615848274486195762041 y[1] (numeric) = 1.5546768056158482744616140573978 absolute error = 2.45817046432e-20 relative error = 1.5811456474043517883028241732514e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.487 y[1] (analytic) = 1.5548240397950302527318666037723 y[1] (numeric) = 1.5548240397950302527072380120351 absolute error = 2.46285917372e-20 relative error = 1.5840115091381494453210673700830e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.486 y[1] (analytic) = 1.5549705790396699385893581900865 y[1] (numeric) = 1.5549705790396699385646827155794 absolute error = 2.46754745071e-20 relative error = 1.5868772592687418792480960341695e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.485 y[1] (analytic) = 1.5551164236202459012761324547622 y[1] (numeric) = 1.555116423620245901251410101809 absolute error = 2.47223529532e-20 relative error = 1.5897429014123198423171574319449e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.484 y[1] (analytic) = 1.5552615738071791728612523679409 y[1] (numeric) = 1.5552615738071791728364831408651 absolute error = 2.47692270758e-20 relative error = 1.5926084391814904291791657403738e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=37.09 NO POLE x[1] = -0.483 y[1] (analytic) = 1.555406029870833256763885317545 y[1] (numeric) = 1.5554060298708332567390692206698 absolute error = 2.48160968752e-20 relative error = 1.5954738761852955941704525242402e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.482 y[1] (analytic) = 1.5555497920815141362508422056053 y[1] (numeric) = 1.5555497920815141362259792432536 absolute error = 2.48629623517e-20 relative error = 1.5983392160292306216126117940944e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.481 y[1] (analytic) = 1.5556928607094702829331523484338 y[1] (numeric) = 1.5556928607094702829082425249279 absolute error = 2.49098235059e-20 relative error = 1.6012044623345465615068022927839e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.48 y[1] (analytic) = 1.5558352360248926652616742695672 y[1] (numeric) = 1.5558352360248926652367175892293 absolute error = 2.49566803379e-20 relative error = 1.6040696186868404566237803054873e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.479 y[1] (analytic) = 1.5559769182979147570217424744057 y[1] (numeric) = 1.5559769182979147569967389415577 absolute error = 2.50035328480e-20 relative error = 1.6069346886810762077588658643115e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.4MB, time=37.50 NO POLE x[1] = -0.478 y[1] (analytic) = 1.5561179077986125458268502954579 y[1] (numeric) = 1.5561179077986125458017999144212 absolute error = 2.50503810367e-20 relative error = 1.6097996759215969760966286989662e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.477 y[1] (analytic) = 1.5562582047970045416113688971 y[1] (numeric) = 1.5562582047970045415862716721958 absolute error = 2.50972249042e-20 relative error = 1.6126645839900092841304332387055e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.476 y[1] (analytic) = 1.5563978095630517851223025287506 y[1] (numeric) = 1.5563978095630517850971584642997 absolute error = 2.51440644509e-20 relative error = 1.6155294164773353764948949316561e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.475 y[1] (analytic) = 1.5565367223666578564100801153526 y[1] (numeric) = 1.5565367223666578563848892156754 absolute error = 2.51908996772e-20 relative error = 1.6183941769711765658203292654477e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.474 y[1] (analytic) = 1.5566749434776688833183832740493 y[1] (numeric) = 1.556674943477668883293145543466 absolute error = 2.52377305833e-20 relative error = 1.6212588690428834675822625277097e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.473 y[1] (analytic) = 1.5568124731658735499730108459352 y[1] (numeric) = 1.5568124731658735499477262887656 absolute error = 2.52845571696e-20 relative error = 1.6241234962732732872179230728646e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.4MB, time=37.89 NO POLE x[1] = -0.472 y[1] (analytic) = 1.5569493117010031052697800317522 y[1] (numeric) = 1.5569493117010031052444486523156 absolute error = 2.53313794366e-20 relative error = 1.6269880622462193415162107843297e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.471 y[1] (analytic) = 1.5570854593527313713614642203979 y[1] (numeric) = 1.5570854593527313713360860230135 absolute error = 2.53781973844e-20 relative error = 1.6298525705165549732904467366869e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.47 y[1] (analytic) = 1.5572209163906747521437675991053 y[1] (numeric) = 1.5572209163906747521183425880919 absolute error = 2.54250110134e-20 relative error = 1.6327170246550545825522272003454e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.469 y[1] (analytic) = 1.5573556830843922417403366341444 y[1] (numeric) = 1.5573556830843922417148648138203 absolute error = 2.54718203241e-20 relative error = 1.6355814282356008307720260975608e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.468 y[1] (analytic) = 1.5574897597033854329868085108908 y[1] (numeric) = 1.5574897597033854329612898855743 absolute error = 2.55186253165e-20 relative error = 1.6384457847966762150860335918376e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.4MB, time=38.29 NO POLE x[1] = -0.467 y[1] (analytic) = 1.5576231465170985259138966221016 y[1] (numeric) = 1.5576231465170985258883311961105 absolute error = 2.55654259911e-20 relative error = 1.6413100979055950468043593503155e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.466 y[1] (analytic) = 1.5577558437949183362295131932262 y[1] (numeric) = 1.5577558437949183362039009708777 absolute error = 2.56122223485e-20 relative error = 1.6441743711328294754005843573674e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.465 y[1] (analytic) = 1.5578878518061743037999291335775 y[1] (numeric) = 1.5578878518061743037742701191889 absolute error = 2.56590143886e-20 relative error = 1.6470386080006729552854399209736e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.464 y[1] (analytic) = 1.5580191708201385011299712021838 y[1] (numeric) = 1.5580191708201385011042654000719 absolute error = 2.57058021119e-20 relative error = 1.6499028120667162142180052894395e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.463 y[1] (analytic) = 1.5581498011060256418422565771264 y[1] (numeric) = 1.5581498011060256418165039916076 absolute error = 2.57525855188e-20 relative error = 1.6527669868789235364414552060792e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.462 y[1] (analytic) = 1.5582797429329930891554649171705 y[1] (numeric) = 1.5582797429329930891296655525609 absolute error = 2.57993646096e-20 relative error = 1.6556311359756530749689383123438e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.4MB, time=38.69 NO POLE x[1] = -0.461 y[1] (analytic) = 1.5584089965701408643616480044848 y[1] (numeric) = 1.5584089965701408643358018651001 absolute error = 2.58461393847e-20 relative error = 1.6584952628985106790742271067105e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.46 y[1] (analytic) = 1.5585375622865116553025770572386 y[1] (numeric) = 1.5585375622865116552766841473943 absolute error = 2.58929098443e-20 relative error = 1.6613593711731159268093033196704e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.459 y[1] (analytic) = 1.5586654403510908248451278008604 y[1] (numeric) = 1.5586654403510908248191881248717 absolute error = 2.59396759887e-20 relative error = 1.6642234643283721047810848456393e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.458 y[1] (analytic) = 1.5587926310328064193557033867338 y[1] (numeric) = 1.5587926310328064193297169489153 absolute error = 2.59864378185e-20 relative error = 1.6670875459093114142815246011257e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.457 y[1] (analytic) = 1.5589191346005291771736952470978 y[1] (numeric) = 1.558919134600529177147662051764 absolute error = 2.60331953338e-20 relative error = 1.6699516194257869235097555144062e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=373.8MB, alloc=4.4MB, time=39.08 x[1] = -0.456 y[1] (analytic) = 1.5590449513230725370839819749169 y[1] (numeric) = 1.5590449513230725370579020263818 absolute error = 2.60799485351e-20 relative error = 1.6728156884102305729294003831863e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.455 y[1] (analytic) = 1.5591700814691926467884663174727 y[1] (numeric) = 1.5591700814691926467623396200501 absolute error = 2.61266974226e-20 relative error = 1.6756797563727644283456528491192e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.454 y[1] (analytic) = 1.5592945253075883713766503724279 y[1] (numeric) = 1.5592945253075883713504769304312 absolute error = 2.61734419967e-20 relative error = 1.6785438268332914450655290015405e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.453 y[1] (analytic) = 1.5594182831069013017952490751025 y[1] (numeric) = 1.5594182831069013017690288928448 absolute error = 2.62201822577e-20 relative error = 1.6814079033022696106790272269717e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.452 y[1] (analytic) = 1.5595413551357157633168420656971 y[1] (numeric) = 1.5595413551357157632905751474911 absolute error = 2.62669182060e-20 relative error = 1.6842719892935559514802664574279e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.451 y[1] (analytic) = 1.5596637416625588240075640251912 y[1] (numeric) = 1.5596637416625588239812503753494 absolute error = 2.63136498418e-20 relative error = 1.6871360883051862250042486060380e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.4MB, time=39.46 NO POLE x[1] = -0.45 y[1] (analytic) = 1.559785442955900303193833568637 y[1] (numeric) = 1.5597854429559003031674731914714 absolute error = 2.63603771656e-20 relative error = 1.6900002038514527261120288117227e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.449 y[1] (analytic) = 1.5599064592841527799281207845616 y[1] (numeric) = 1.559906459284152779901713684384 absolute error = 2.64071001776e-20 relative error = 1.6928643394244499964028680864079e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.448 y[1] (analytic) = 1.5600267909156716014537535091864 y[1] (numeric) = 1.5600267909156716014272996903081 absolute error = 2.64538188783e-20 relative error = 1.6957284985325601813017081016423e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.447 y[1] (analytic) = 1.5601464381187548916687624241613 y[1] (numeric) = 1.5601464381187548916422618908934 absolute error = 2.65005332679e-20 relative error = 1.6985926846620046635286496759505e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.446 y[1] (analytic) = 1.5602654011616435595887650665087 y[1] (numeric) = 1.5602654011616435595622178231619 absolute error = 2.65472433468e-20 relative error = 1.7014569013089142069526394397703e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.445 y[1] (analytic) = 1.5603836803125213078088888394624 y[1] (numeric) = 1.5603836803125213077822948903472 absolute error = 2.65939491152e-20 relative error = 1.7043211519537062350364211481995e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.4MB, time=39.84 NO POLE x[1] = -0.444 y[1] (analytic) = 1.5605012758395146409647331128812 y[1] (numeric) = 1.5605012758395146409380924623077 absolute error = 2.66406505735e-20 relative error = 1.7071854400867393256089208529530e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.443 y[1] (analytic) = 1.5606181880106928741923705019094 y[1] (numeric) = 1.5606181880106928741656831541872 absolute error = 2.66873477222e-20 relative error = 1.7100497692019174730746068195321e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.442 y[1] (analytic) = 1.5607344170940681415873874125489 y[1] (numeric) = 1.5607344170940681415606533719874 absolute error = 2.67340405615e-20 relative error = 1.7129141427710755416055979298558e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.441 y[1] (analytic) = 1.5608499633575954046629639428033 y[1] (numeric) = 1.5608499633575954046361832137116 absolute error = 2.67807290917e-20 relative error = 1.7157785642696302322287733495817e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.44 y[1] (analytic) = 1.5609648270691724608069932280444 y[1] (numeric) = 1.5609648270691724607801658147311 absolute error = 2.68274133133e-20 relative error = 1.7186430371830006851712662453173e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.4MB, time=40.23 NO POLE x[1] = -0.439 y[1] (analytic) = 1.5610790084966399517382403192449 y[1] (numeric) = 1.5610790084966399517113662260186 absolute error = 2.68740932263e-20 relative error = 1.7215075649617796705523095043785e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.438 y[1] (analytic) = 1.5611925079077813719615406827189 y[1] (numeric) = 1.5611925079077813719346199138875 absolute error = 2.69207688314e-20 relative error = 1.7243721510986262265627284056684e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.437 y[1] (analytic) = 1.5613053255703230772220384099958 y[1] (numeric) = 1.561305325570323077195070969867 absolute error = 2.69674401288e-20 relative error = 1.7272367990514071894770856930049e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.436 y[1] (analytic) = 1.5614174617519342929584642264568 y[1] (numeric) = 1.5614174617519342929314501193381 absolute error = 2.70141071187e-20 relative error = 1.7301015122752475371613267916217e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.435 y[1] (analytic) = 1.5615289167202271227554533873485 y[1] (numeric) = 1.5615289167202271227283926175468 absolute error = 2.70607698017e-20 relative error = 1.7329662942481627871830362601169e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.434 y[1] (analytic) = 1.5616396907427565567949035497838 y[1] (numeric) = 1.561639690742756556767796121606 absolute error = 2.71074281778e-20 relative error = 1.7358311484070310950100470077009e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.4MB, time=40.62 NO POLE x[1] = -0.433 y[1] (analytic) = 1.5617497840870204803063727093356 y[1] (numeric) = 1.5617497840870204802792186270879 absolute error = 2.71540822477e-20 relative error = 1.7386960782308632815956539285312e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.432 y[1] (analytic) = 1.5618591970204596820165172898169 y[1] (numeric) = 1.5618591970204596819893165578054 absolute error = 2.72007320115e-20 relative error = 1.7415610871575693093315478801305e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.431 y[1] (analytic) = 1.5619679298104578625975704748399 y[1] (numeric) = 1.5619679298104578625703230973703 absolute error = 2.72473774696e-20 relative error = 1.7444261786416077482720677168262e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.43 y[1] (analytic) = 1.5620759827243416431148608697349 y[1] (numeric) = 1.5620759827243416430875668511126 absolute error = 2.72940186223e-20 relative error = 1.7472913561283884512741772540849e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.429 y[1] (analytic) = 1.5621833560293805734733715824055 y[1] (numeric) = 1.5621833560293805734460309269355 absolute error = 2.73406554700e-20 relative error = 1.7501566230670936649936176637636e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.4MB, time=41.00 NO POLE x[1] = -0.428 y[1] (analytic) = 1.5622900499927871408633398116889 y[1] (numeric) = 1.562290049992787140835952523676 absolute error = 2.73872880129e-20 relative error = 1.7530219828914895160639761102459e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.427 y[1] (analytic) = 1.5623960648817167782048970317846 y[1] (numeric) = 1.5623960648817167781774631155331 absolute error = 2.74339162515e-20 relative error = 1.7558874390519487281226716329009e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.426 y[1] (analytic) = 1.5625014009632678725917498613041 y[1] (numeric) = 1.562501400963267872564269321118 absolute error = 2.74805401861e-20 relative error = 1.7587529949834603310486081170006e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.425 y[1] (analytic) = 1.5626060585044817737339017054929 y[1] (numeric) = 1.5626060585044817737063745456759 absolute error = 2.75271598170e-20 relative error = 1.7616186541184492814295719438509e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.424 y[1] (analytic) = 1.5627100377723428023994152601641 y[1] (numeric) = 1.5627100377723428023718414850195 absolute error = 2.75737751446e-20 relative error = 1.7644844198931917133066867015934e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.423 y[1] (analytic) = 1.5628133390337782588552159658789 y[1] (numeric) = 1.5628133390337782588275955797099 absolute error = 2.76203861690e-20 relative error = 1.7673502957222340320856782067211e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.4MB, time=41.39 NO POLE x[1] = -0.422 y[1] (analytic) = 1.5629159625556584313069365009028 y[1] (numeric) = 1.5629159625556584312792695080119 absolute error = 2.76669928909e-20 relative error = 1.7702162850559999565554314331253e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.421 y[1] (analytic) = 1.5630179086047966043378024014546 y[1] (numeric) = 1.5630179086047966043100888061443 absolute error = 2.77135953103e-20 relative error = 1.7730823912976215180587987625562e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.42 y[1] (analytic) = 1.563119177447949067346558897768 y[1] (numeric) = 1.5631191774479490673187987043402 absolute error = 2.77601934278e-20 relative error = 1.7759486178861366966406904743631e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.419 y[1] (analytic) = 1.5632197693518151229844390544662 y[1] (numeric) = 1.5632197693518151229566322672227 absolute error = 2.78067872435e-20 relative error = 1.7788149682261253396335244687266e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.418 y[1] (analytic) = 1.5633196845830370955911733037554 y[1] (numeric) = 1.5633196845830370955633199269975 absolute error = 2.78533767579e-20 relative error = 1.7816814457453051711232561034003e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.417 y[1] (analytic) = 1.5634189234082003396300404599261 y[1] (numeric) = 1.5634189234082003396021404979549 absolute error = 2.78999619712e-20 relative error = 1.7845480538497658175859227857018e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.4MB, time=41.78 NO POLE x[1] = -0.416 y[1] (analytic) = 1.5635174860938332481219603036514 y[1] (numeric) = 1.5635174860938332480940137607676 absolute error = 2.79465428838e-20 relative error = 1.7874147959559699250809660760478e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.415 y[1] (analytic) = 1.5636153729064072610786278245603 y[1] (numeric) = 1.5636153729064072610506347050642 absolute error = 2.79931194961e-20 relative error = 1.7902816754779740614949343895286e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.414 y[1] (analytic) = 1.5637125841123368739346892105589 y[1] (numeric) = 1.5637125841123368739066495187505 absolute error = 2.80396918084e-20 relative error = 1.7931486958210494781126596056983e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.413 y[1] (analytic) = 1.5638091199779796459789596723656 y[1] (numeric) = 1.5638091199779796459508734125445 absolute error = 2.80862598211e-20 relative error = 1.7960158603944891337334635780313e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.412 y[1] (analytic) = 1.5639049807696362087846831917185 y[1] (numeric) = 1.5639049807696362087565503681841 absolute error = 2.81328235344e-20 relative error = 1.7988831725924386883142942412363e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.4MB, time=42.18 NO POLE x[1] = -0.411 y[1] (analytic) = 1.5640001667535502746388342817076 y[1] (numeric) = 1.5640001667535502746106548987589 absolute error = 2.81793829487e-20 relative error = 1.8017506358194915393298800089433e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.41 y[1] (analytic) = 1.5640946781959086449704618476762 y[1] (numeric) = 1.5640946781959086449422359096119 absolute error = 2.82259380643e-20 relative error = 1.8046182534715201449419119059055e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.409 y[1] (analytic) = 1.5641885153628412187780752371302 y[1] (numeric) = 1.5641885153628412187498027482487 absolute error = 2.82724888815e-20 relative error = 1.8074860289420866680729399814806e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.408 y[1] (analytic) = 1.5642816785204210010560725670862 y[1] (numeric) = 1.5642816785204210010277535316855 absolute error = 2.83190354007e-20 relative error = 1.8103539656288512617492937468854e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.407 y[1] (analytic) = 1.5643741679346641112202114172833 y[1] (numeric) = 1.5643741679346641111918458396611 absolute error = 2.83655776222e-20 relative error = 1.8132220669208010569101878882721e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.406 y[1] (analytic) = 1.5644659838715297915321219776755 y[1] (numeric) = 1.564465983871529791503709862129 absolute error = 2.84121155465e-20 relative error = 1.8160903362174434494386256007275e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.4MB, time=42.56 NO POLE x[1] = -0.405 y[1] (analytic) = 1.5645571265969204155228627386158 y[1] (numeric) = 1.5645571265969204154944040894421 absolute error = 2.84586491737e-20 relative error = 1.8189587768904683452763766059374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.404 y[1] (analytic) = 1.5646475963766814964155188121362 y[1] (numeric) = 1.5646475963766814963870136336319 absolute error = 2.85051785043e-20 relative error = 1.8218273923349007795647468513810e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.403 y[1] (analytic) = 1.5647373934766016955468429727189 y[1] (numeric) = 1.5647373934766016955182912691804 absolute error = 2.85517035385e-20 relative error = 1.8246961859243730004799510786276e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.402 y[1] (analytic) = 1.5648265181624128307879395059512 y[1] (numeric) = 1.5648265181624128307593412816745 absolute error = 2.85982242767e-20 relative error = 1.8275651610430977938894910427647e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.401 y[1] (analytic) = 1.5649149706997898849639909534446 y[1] (numeric) = 1.5649149706997898849353462127254 absolute error = 2.86447407192e-20 relative error = 1.8304343210667098270691258372145e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=412.0MB, alloc=4.4MB, time=42.95 NO POLE x[1] = -0.4 y[1] (analytic) = 1.5650027513543510142730278423965 y[1] (numeric) = 1.5650027513543510142443365895301 absolute error = 2.86912528664e-20 relative error = 1.8333036693750623223578493086318e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.399 y[1] (analytic) = 1.5650898603916575567037414881626 y[1] (numeric) = 1.565089860391657556675003727444 absolute error = 2.87377607186e-20 relative error = 1.8361732093394617527873056238975e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.398 y[1] (analytic) = 1.5651762980772140404523399582032 y[1] (numeric) = 1.5651762980772140404235556939271 absolute error = 2.87842642761e-20 relative error = 1.8390429443290739531138648140004e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.397 y[1] (analytic) = 1.5652620646764681923384472857586 y[1] (numeric) = 1.5652620646764681923096165222194 absolute error = 2.88307635392e-20 relative error = 1.8419128777109393517953255295941e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.396 y[1] (analytic) = 1.5653471604548109462200460216031 y[1] (numeric) = 1.5653471604548109461911687630947 absolute error = 2.88772585084e-20 relative error = 1.8447830128627648913032292267419e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.395 y[1] (analytic) = 1.5654315856775764514074632122179 y[1] (numeric) = 1.565431585677576451378539463034 absolute error = 2.89237491839e-20 relative error = 1.8476533531409956811032554153146e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.4MB, time=43.34 NO POLE x[1] = -0.394 y[1] (analytic) = 1.5655153406100420810763998927203 y[1] (numeric) = 1.5655153406100420810474296571542 absolute error = 2.89702355661e-20 relative error = 1.8505239019127736862645573516812e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.393 y[1] (analytic) = 1.5655984255174284406800041828752 y[1] (numeric) = 1.5655984255174284406509874652199 absolute error = 2.90167176553e-20 relative error = 1.8533946625367874203111487669344e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.392 y[1] (analytic) = 1.5656808406648993763599880745116 y[1] (numeric) = 1.5656808406648993763309248790596 absolute error = 2.90631954520e-20 relative error = 1.8562656383824497301001869781849e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.391 y[1] (analytic) = 1.5657625863175619833567879986567 y[1] (numeric) = 1.5657625863175619833276783297006 absolute error = 2.91096689561e-20 relative error = 1.8591368327788162004601009269443e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.39 y[1] (analytic) = 1.5658436627404666144187692606989 y[1] (numeric) = 1.5658436627404666143896131225306 absolute error = 2.91561381683e-20 relative error = 1.8620082491040188249432827662520e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.4MB, time=43.73 NO POLE x[1] = -0.389 y[1] (analytic) = 1.5659240701986068882104744318748 y[1] (numeric) = 1.565924070198606888181271828786 absolute error = 2.92026030888e-20 relative error = 1.8648798907022496997707791266145e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.388 y[1] (analytic) = 1.5660038089569196977199157853795 y[1] (numeric) = 1.5660038089569196976906667216614 absolute error = 2.92490637181e-20 relative error = 1.8677517609348696740272320582556e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.387 y[1] (analytic) = 1.5660828792802852186649118653827 y[1] (numeric) = 1.5660828792802852186356163453265 absolute error = 2.92955200562e-20 relative error = 1.8706238631293355589279716647793e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.386 y[1] (analytic) = 1.5661612814335269178984682772349 y[1] (numeric) = 1.5661612814335269178691263051311 absolute error = 2.93419721038e-20 relative error = 1.8734962006558435449121423313558e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.196 Order of pole = 15.29 x[1] = -0.385 y[1] (analytic) = 1.5662390156814115618132027871319 y[1] (numeric) = 1.5662390156814115617838143672709 absolute error = 2.93884198610e-20 relative error = 1.8763687768443315283095377880598e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.384 y[1] (analytic) = 1.5663160822886492247448148195091 y[1] (numeric) = 1.5663160822886492247153799561807 absolute error = 2.94348633284e-20 relative error = 1.8792415950547319800035369789489e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.4MB, time=44.12 NO POLE x[1] = -0.383 y[1] (analytic) = 1.5663924815198932973745994404204 y[1] (numeric) = 1.5663924815198932973451181379145 absolute error = 2.94813025059e-20 relative error = 1.8821146586003697780155427423618e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.382 y[1] (analytic) = 1.5664682136397404951310059151588 y[1] (numeric) = 1.5664682136397404951014781777645 absolute error = 2.95277373943e-20 relative error = 1.8849879708501284872304961713136e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.381 y[1] (analytic) = 1.566543278912730866590240928359 y[1] (numeric) = 1.5665432789127308665606667603655 absolute error = 2.95741679935e-20 relative error = 1.8878615351135485865928488220977e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.38 y[1] (analytic) = 1.5666176776033478018759165548274 y[1] (numeric) = 1.5666176776033478018462959605232 absolute error = 2.96205943042e-20 relative error = 1.8907353547493700211726171487389e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.379 y[1] (analytic) = 1.5666914099760180410577430693247 y[1] (numeric) = 1.5666914099760180410280760529982 absolute error = 2.96670163265e-20 relative error = 1.8936094330761744992759635032086e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=427.2MB, alloc=4.4MB, time=44.50 x[1] = -0.378 y[1] (analytic) = 1.5667644762951116825492666835318 y[1] (numeric) = 1.566764476295111682519553249471 absolute error = 2.97134340608e-20 relative error = 1.8964837734298524411372561554558e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.377 y[1] (analytic) = 1.5668368768249421915046522984137 y[1] (numeric) = 1.5668368768249421914748924509062 absolute error = 2.97598475075e-20 relative error = 1.8993583791444663038782345394623e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.376 y[1] (analytic) = 1.5669086118297664082145113601943 y[1] (numeric) = 1.5669086118297664081847051035274 absolute error = 2.98062566669e-20 relative error = 1.9022332535458832484640857916056e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.375 y[1] (analytic) = 1.5669796815737845565007749081465 y[1] (numeric) = 1.5669796815737845564709222466072 absolute error = 2.98526615393e-20 relative error = 1.9051083999581729239053858837417e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.374 y[1] (analytic) = 1.5670500863211402521106119023947 y[1] (numeric) = 1.5670500863211402520807128402697 absolute error = 2.98990621250e-20 relative error = 1.9079838217036220464973255656476e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.373 y[1] (analytic) = 1.5671198263359205111093929199212 y[1] (numeric) = 1.5671198263359205110794474614968 absolute error = 2.99454584244e-20 relative error = 1.9108595221091300855476833978965e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.4MB, time=44.89 NO POLE x[1] = -0.372 y[1] (analytic) = 1.5671889018821557582726993069599 y[1] (numeric) = 1.567188901882155758242707456522 absolute error = 2.99918504379e-20 relative error = 1.9137355044998415317992068505940e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.371 y[1] (analytic) = 1.5672573132238198354773778759541 y[1] (numeric) = 1.5672573132238198354473396377885 absolute error = 3.00382381656e-20 relative error = 1.9166117721800187053755751505203e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.37 y[1] (analytic) = 1.56732506062483001009164123525 y[1] (numeric) = 1.567325060624830010061556613642 absolute error = 3.00846216080e-20 relative error = 1.9194883284777224759913410043220e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.369 y[1] (analytic) = 1.5673921443490469833642138396875 y[1] (numeric) = 1.567392144349046983334082838922 absolute error = 3.01310007655e-20 relative error = 1.9223651767129210736582210659787e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.368 y[1] (analytic) = 1.5674585646602748988125238502453 y[1] (numeric) = 1.567458564660274898782346474607 absolute error = 3.01773756383e-20 relative error = 1.9252423201911261635406239224874e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.367 y[1] (analytic) = 1.567524321822261350609940890891 y[1] (numeric) = 1.5675243218222613505797171446643 absolute error = 3.02237462267e-20 relative error = 1.9281197622225484054720253760973e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.4MB, time=45.28 NO POLE x[1] = -0.366 y[1] (analytic) = 1.5675894160986973919720597907775 y[1] (numeric) = 1.5675894160986973919417896782463 absolute error = 3.02701125312e-20 relative error = 1.9309975061284896951872291312507e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.365 y[1] (analytic) = 1.5676538477532175435420303999222 y[1] (numeric) = 1.5676538477532175435117139253701 absolute error = 3.03164745521e-20 relative error = 1.9338755552158390517344518940703e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.364 y[1] (analytic) = 1.5677176170493998017749335664979 y[1] (numeric) = 1.5677176170493998017445707342083 absolute error = 3.03628322896e-20 relative error = 1.9367539127834682874662559165764e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.363 y[1] (analytic) = 1.5677807242507656473212033638584 y[1] (numeric) = 1.5677807242507656472907941781142 absolute error = 3.04091857442e-20 relative error = 1.9396325821477613600079059671618e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.362 y[1] (analytic) = 1.5678431696207800534090956554123 y[1] (numeric) = 1.5678431696207800533786401204962 absolute error = 3.04555349161e-20 relative error = 1.9425115666043556719642549996920e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.4MB, time=45.66 NO POLE x[1] = -0.361 y[1] (analytic) = 1.5679049534228514942262030854556 y[1] (numeric) = 1.5679049534228514941957012056499 absolute error = 3.05018798057e-20 relative error = 1.9453908694600498299432347918637e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.36 y[1] (analytic) = 1.5679660759203319533000165840625 y[1] (numeric) = 1.5679660759203319532694683636493 absolute error = 3.05482204132e-20 relative error = 1.9482704940073045972588846383663e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.359 y[1] (analytic) = 1.5680265373765169318775334741318 y[1] (numeric) = 1.5680265373765169318469389173926 absolute error = 3.05945567392e-20 relative error = 1.9511504435625242363856434150449e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.358 y[1] (analytic) = 1.5680863380546454573039122686735 y[1] (numeric) = 1.5680863380546454572732713798896 absolute error = 3.06408887839e-20 relative error = 1.9540307214150481920992166027422e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.357 y[1] (analytic) = 1.5681454782179000914001742464197 y[1] (numeric) = 1.5681454782179000913694870298721 absolute error = 3.06872165476e-20 relative error = 1.9569113308590549289227203355664e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.356 y[1] (analytic) = 1.5682039581294069388399518938322 y[1] (numeric) = 1.5682039581294069388092183538016 absolute error = 3.07335400306e-20 relative error = 1.9597922751871981188468854008462e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.4MB, time=46.05 NO POLE x[1] = -0.355 y[1] (analytic) = 1.5682617780522356555252843015743 y[1] (numeric) = 1.5682617780522356554945044423412 absolute error = 3.07798592331e-20 relative error = 1.9626735576842442564025950577750e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.354 y[1] (analytic) = 1.5683189382493994569614596035086 y[1] (numeric) = 1.5683189382493994569306334293527 absolute error = 3.08261741559e-20 relative error = 1.9655551816717216769739023182891e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.353 y[1] (analytic) = 1.5683754389838551266309045462713 y[1] (numeric) = 1.5683754389838551266000320614723 absolute error = 3.08724847990e-20 relative error = 1.9684371504186633520269839037045e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.352 y[1] (analytic) = 1.5684312805185030243661212774739 y[1] (numeric) = 1.5684312805185030243352024863112 absolute error = 3.09187911627e-20 relative error = 1.9713194672117639060723716022054e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.351 y[1] (analytic) = 1.568486463116187094721671440569 y[1] (numeric) = 1.5684864631161870946907063473216 absolute error = 3.09650932474e-20 relative error = 1.9742021353426390327101081123652e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.4MB, time=46.44 Complex estimate of poles used Radius of convergence = 1.192 Order of pole = 10.77 x[1] = -0.35 y[1] (analytic) = 1.5685409870396948753452076644143 y[1] (numeric) = 1.5685409870396948753141962733609 absolute error = 3.10113910534e-20 relative error = 1.9770851580950876683100377963653e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.349 y[1] (analytic) = 1.5685948525517575053475525355614 y[1] (numeric) = 1.5685948525517575053164948509803 absolute error = 3.10576845811e-20 relative error = 1.9799685387578573402001231028190e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.348 y[1] (analytic) = 1.5686480599150497336718251412882 y[1] (numeric) = 1.5686480599150497336407211674572 absolute error = 3.11039738310e-20 relative error = 1.9828522806246570242967651567511e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.347 y[1] (analytic) = 1.5687006093921899274616152713868 y[1] (numeric) = 1.5687006093921899274304650125838 absolute error = 3.11502588030e-20 relative error = 1.9857363869495471015300454494842e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.346 y[1] (analytic) = 1.568752501245740080428205366715 y[1] (numeric) = 1.5687525012457400803970088272172 absolute error = 3.11965394978e-20 relative error = 1.9886208610362025167332348913238e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.345 y[1] (analytic) = 1.5688037357382058212168403025067 y[1] (numeric) = 1.568803735738205821185597486591 absolute error = 3.12428159157e-20 relative error = 1.9915057061614268114456525451589e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.4MB, time=46.83 NO POLE x[1] = -0.344 y[1] (analytic) = 1.5688543131320364217720450944351 y[1] (numeric) = 1.5688543131320364217407560063783 absolute error = 3.12890880568e-20 relative error = 1.9943909255879183464823952778362e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.343 y[1] (analytic) = 1.5689042336896248057019906154152 y[1] (numeric) = 1.5689042336896248056706552594935 absolute error = 3.13353559217e-20 relative error = 1.9972765226089032842597267733090e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.342 y[1] (analytic) = 1.5689534976733075566419074111199 y[1] (numeric) = 1.5689534976733075566105257916093 absolute error = 3.13816195106e-20 relative error = 2.0001625004907812598525883121754e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.341 y[1] (analytic) = 1.5690021053453649266165477021849 y[1] (numeric) = 1.5690021053453649265851198233611 absolute error = 3.14278788238e-20 relative error = 2.0030488625050105822462218252357e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.34 y[1] (analytic) = 1.5690500569680208444016956610648 y[1] (numeric) = 1.5690500569680208443702215272031 absolute error = 3.14741338617e-20 relative error = 2.0059356119281209949658280471278e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.339 y[1] (analytic) = 1.569097352803442923884726051499 y[1] (numeric) = 1.5690973528034429238532056668744 memory used=453.9MB, alloc=4.4MB, time=47.23 absolute error = 3.15203846246e-20 relative error = 2.0088227520289802735857743559030e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.338 y[1] (analytic) = 1.5691439931137424724242113185376 y[1] (numeric) = 1.5691439931137424723926446874248 absolute error = 3.15666311128e-20 relative error = 2.0117102860751818193785045252012e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.337 y[1] (analytic) = 1.5691899781609744992085772170719 y[1] (numeric) = 1.5691899781609744991769643437452 absolute error = 3.16128733267e-20 relative error = 2.0145982173394310710142023865945e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.336 y[1] (analytic) = 1.5692353082071377236138070668062 y[1] (numeric) = 1.5692353082071377235821479555396 absolute error = 3.16591112666e-20 relative error = 2.0174865490868131988275924541283e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.335 y[1] (analytic) = 1.5692799835141745835601947216012 y[1] (numeric) = 1.5692799835141745835284893766684 absolute error = 3.17053449328e-20 relative error = 2.0203752845811800426279711565390e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.334 y[1] (analytic) = 1.5693240043439712438681463411132 y[1] (numeric) = 1.5693240043439712438363947667875 absolute error = 3.17515743257e-20 relative error = 2.0232644270915359160842555408216e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.4MB, time=47.62 NO POLE x[1] = -0.333 y[1] (analytic) = 1.5693673709583576046130310526445 y[1] (numeric) = 1.5693673709583576045812332531988 absolute error = 3.17977994457e-20 relative error = 2.0261539798856783451917964880831e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.332 y[1] (analytic) = 1.5694100836191073094790805911154 y[1] (numeric) = 1.5694100836191073094472365708224 absolute error = 3.18440202930e-20 relative error = 2.0290439462174680456940119303948e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.331 y[1] (analytic) = 1.5694521425879377541123380050613 y[1] (numeric) = 1.5694521425879377540804477681934 absolute error = 3.18902368679e-20 relative error = 2.0319343293459591798757613991863e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.33 y[1] (analytic) = 1.56949354812651009447265551655 y[1] (numeric) = 1.5694935481265100944407190673791 absolute error = 3.19364491709e-20 relative error = 2.0348251325417835233093963527577e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.329 y[1] (analytic) = 1.569534300496429255184741622908 y[1] (numeric) = 1.5695343004964292551527589657059 absolute error = 3.19826572021e-20 relative error = 2.0377163590489344422734654088678e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.328 y[1] (analytic) = 1.5695743999592439378882575281409 y[1] (numeric) = 1.5695743999592439378562286671788 absolute error = 3.20288609621e-20 relative error = 2.0406080121421240986655896948556e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.4MB, time=48.02 NO POLE x[1] = -0.327 y[1] (analytic) = 1.5696138467764466295869629919192 y[1] (numeric) = 1.5696138467764466295548879314682 absolute error = 3.20750604510e-20 relative error = 2.0435000950630829480002120043049e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.326 y[1] (analytic) = 1.5696526412094736109969116840029 y[1] (numeric) = 1.5696526412094736109647904283335 absolute error = 3.21212556694e-20 relative error = 2.0463926110842855901892347270640e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.325 y[1] (analytic) = 1.5696907835197049648936961319619 y[1] (numeric) = 1.5696907835197049648615286853445 absolute error = 3.21674466174e-20 relative error = 2.0492855634452534835279887357508e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.324 y[1] (analytic) = 1.5697282739684645844587423500519 y[1] (numeric) = 1.5697282739684645844265287167566 absolute error = 3.22136332953e-20 relative error = 2.0521789553971659658870830004743e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.323 y[1] (analytic) = 1.5697651128170201816246542370906 y[1] (numeric) = 1.569765112817020181592394421387 absolute error = 3.22598157036e-20 relative error = 2.0550727902028721196961883225470e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.4MB, time=48.41 NO POLE x[1] = -0.322 y[1] (analytic) = 1.5698013003265832954196078311767 y[1] (numeric) = 1.5698013003265832953873018373342 absolute error = 3.23059938425e-20 relative error = 2.0579670711050515323521988929938e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.321 y[1] (analytic) = 1.5698368367583093003107955090871 y[1] (numeric) = 1.5698368367583093002784433413746 absolute error = 3.23521677125e-20 relative error = 2.0608618013644504194638976893127e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.32 y[1] (analytic) = 1.5698717223732974145469202181775 y[1] (numeric) = 1.5698717223732974145145218808637 absolute error = 3.23983373138e-20 relative error = 2.0637569842216731473406973001509e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.319 y[1] (analytic) = 1.5699059574325907084997398286106 y[1] (numeric) = 1.5699059574325907084672953259639 absolute error = 3.24445026467e-20 relative error = 2.0666526229226769394486943308870e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.318 y[1] (analytic) = 1.5699395421971761130046616937228 y[1] (numeric) = 1.5699395421971761129721710300111 absolute error = 3.24906637117e-20 relative error = 2.0695487207251541585629059589661e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.317 y[1] (analytic) = 1.5699724769279844277003875063381 y[1] (numeric) = 1.5699724769279844276678506858291 absolute error = 3.25368205090e-20 relative error = 2.0724452808666965777395894491051e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.4MB, time=48.82 NO POLE x[1] = -0.316 y[1] (analytic) = 1.5700047618858903293676085388293 y[1] (numeric) = 1.5700047618858903293350255657904 absolute error = 3.25829730389e-20 relative error = 2.0753423065902883083449433370344e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.315 y[1] (analytic) = 1.5700363973317123802667513547203 y[1] (numeric) = 1.5700363973317123802341222334185 absolute error = 3.26291213018e-20 relative error = 2.0782398011443183942934528922021e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.314 y[1] (analytic) = 1.5700673835262130364747740796148 y[1] (numeric) = 1.5700673835262130364420988143167 absolute error = 3.26752652981e-20 relative error = 2.0811377677762242742521451308828e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.313 y[1] (analytic) = 1.5700977207300986562210133192324 y[1] (numeric) = 1.5700977207300986561882919142045 absolute error = 3.27214050279e-20 relative error = 2.0840362097133979430097600909236e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.312 y[1] (analytic) = 1.5701274092040195082220818123256 y[1] (numeric) = 1.5701274092040195081893142718338 absolute error = 3.27675404918e-20 relative error = 2.0869351302141522714111937288178e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=473.0MB, alloc=4.4MB, time=49.22 x[1] = -0.311 y[1] (analytic) = 1.5701564492085697800158169062418 y[1] (numeric) = 1.5701564492085697799830032345517 absolute error = 3.28136716901e-20 relative error = 2.0898345325167808620601458628472e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.31 y[1] (analytic) = 1.570184841004287586294279942891 y[1] (numeric) = 1.5701848410042875862614201442681 absolute error = 3.28597986229e-20 relative error = 2.0927344198459417050147796278658e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.309 y[1] (analytic) = 1.5702125848516549772358066428724 y[1] (numeric) = 1.5702125848516549772029007215816 absolute error = 3.29059212908e-20 relative error = 2.0956347954572514086922451012809e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.308 y[1] (analytic) = 1.570239681011097946836108575503 y[1] (numeric) = 1.5702396810110979468031565358091 absolute error = 3.29520396939e-20 relative error = 2.0985356625736109918006079103228e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.307 y[1] (analytic) = 1.5702661297429864412384258024899 y[1] (numeric) = 1.5702661297429864412054276486572 absolute error = 3.29981538327e-20 relative error = 2.1014370244425368890592511142753e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.306 y[1] (analytic) = 1.570291931307634367062730782976 y[1] (numeric) = 1.5702919313076343670296865192684 absolute error = 3.30442637076e-20 relative error = 2.1043388843043306953358752025087e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.4MB, time=49.62 NO POLE x[1] = -0.305 y[1] (analytic) = 1.5703170859652995997339836276851 y[1] (numeric) = 1.5703170859652995997008932583664 absolute error = 3.30903693187e-20 relative error = 2.1072412453793565325008012395202e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.304 y[1] (analytic) = 1.5703415939761839918094387898854 y[1] (numeric) = 1.570341593976183991776302319219 absolute error = 3.31364706664e-20 relative error = 2.1101441109062638822445965748011e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.303 y[1] (analytic) = 1.5703654556004333813050032808816 y[1] (numeric) = 1.5703654556004333812718207131304 absolute error = 3.31825677512e-20 relative error = 2.1130474841292632448070734041736e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.302 y[1] (analytic) = 1.5703886710981376000206464977403 y[1] (numeric) = 1.570388671098137599987417837167 absolute error = 3.32286605733e-20 relative error = 2.1159513682726673280727693798301e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.301 y[1] (analytic) = 1.5704112407293304818648617509479 y[1] (numeric) = 1.5704112407293304818315870018149 absolute error = 3.32747491330e-20 relative error = 2.1188557665663765261690330116737e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.903 Order of pole = 49.45 x[1] = -0.3 y[1] (analytic) = 1.5704331647539898711781795796907 y[1] (numeric) = 1.57043316475398987114485874626 absolute error = 3.33208334307e-20 relative error = 2.1217606822458914504447474139258e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.4MB, time=50.02 NO POLE x[1] = -0.299 y[1] (analytic) = 1.5704544434320376310557329424409 y[1] (numeric) = 1.5704544434320376310223660289742 absolute error = 3.33669134667e-20 relative error = 2.1246661185395903161272258093890e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.298 y[1] (analytic) = 1.5704750770233396516688743705276 y[1] (numeric) = 1.5704750770233396516354613812864 absolute error = 3.34129892412e-20 relative error = 2.1275720786687423558415684261980e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.297 y[1] (analytic) = 1.570495065787705858585845172362 y[1] (numeric) = 1.5704950657877058585523861116072 absolute error = 3.34590607548e-20 relative error = 2.1304785658793582723325908604251e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.296 y[1] (analytic) = 1.5705144099848902210914967759798 y[1] (numeric) = 1.5705144099848902210579916479721 absolute error = 3.35051280077e-20 relative error = 2.1333855833912628566659443446259e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.295 y[1] (analytic) = 1.5705331098745907605060642975595 y[1] (numeric) = 1.5705331098745907604725131065592 absolute error = 3.35511910003e-20 relative error = 2.1362931344363130920084672196507e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.4MB, time=50.42 NO POLE x[1] = -0.294 y[1] (analytic) = 1.570551165716449558502992423565 y[1] (numeric) = 1.5705511657164495584693951738323 absolute error = 3.35972497327e-20 relative error = 2.1392012222265743432731203180171e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.293 y[1] (analytic) = 1.570568577770052765425813694157 y[1] (numeric) = 1.5705685777700527653921703899514 absolute error = 3.36433042056e-20 relative error = 2.1421098500116384196273543834324e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.292 y[1] (analytic) = 1.5705853462949306086040792755072 y[1] (numeric) = 1.5705853462949306085703899210883 absolute error = 3.36893544189e-20 relative error = 2.1450190209894956161600668341930e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.291 y[1] (analytic) = 1.5706014715505574006683423086487 y[1] (numeric) = 1.5706014715505574006346069082753 absolute error = 3.37354003734e-20 relative error = 2.1479287384147890798438720874009e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.29 y[1] (analytic) = 1.5706169537963515478641939224803 y[1] (numeric) = 1.5706169537963515478304124804113 absolute error = 3.37814420690e-20 relative error = 2.1508390054842200781822058047517e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.289 y[1] (analytic) = 1.5706317932916755583653519985457 y[1] (numeric) = 1.5706317932916755583315245190395 absolute error = 3.38274795062e-20 relative error = 2.1537498254320666340209646898060e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.4MB, time=50.83 NO POLE x[1] = -0.288 y[1] (analytic) = 1.5706459902958360505858027751927 y[1] (numeric) = 1.5706459902958360505519292625073 absolute error = 3.38735126854e-20 relative error = 2.1566612014856268583481755181966e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.287 y[1] (analytic) = 1.5706595450680837614909953787163 y[1] (numeric) = 1.5706595450680837614570758371094 absolute error = 3.39195416069e-20 relative error = 2.1595731368652320752472852542838e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.286 y[1] (analytic) = 1.5706724578676135549080893690813 y[1] (numeric) = 1.5706724578676135548741238028103 absolute error = 3.39655662710e-20 relative error = 2.1624856347906265927229079819895e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.285 y[1] (analytic) = 1.5706847289535644298352553878121 y[1] (numeric) = 1.570684728953564429801243801134 absolute error = 3.40115866781e-20 relative error = 2.1653986984873471213319830208787e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.284 y[1] (analytic) = 1.570696358585019528750028995632 y[1] (numeric) = 1.5706963585850195287159713928036 absolute error = 3.40576028284e-20 relative error = 2.1683123311676354837753008149800e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.4MB, time=51.22 NO POLE x[1] = -0.283 y[1] (analytic) = 1.5707073470210061459167177874272 y[1] (numeric) = 1.5707073470210061458826141727047 absolute error = 3.41036147225e-20 relative error = 2.1712265360686511760265499014654e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.282 y[1] (analytic) = 1.570717694520495735692861872102 y[1] (numeric) = 1.5707176945204957356587122497417 absolute error = 3.41496223603e-20 relative error = 2.1741413163824515470373689686339e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.281 y[1] (analytic) = 1.5707274013424039208347478048897 y[1] (numeric) = 1.5707274013424039208005521791471 absolute error = 3.41956257426e-20 relative error = 2.1770566753578695979455984329258e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.28 y[1] (analytic) = 1.5707364677455905008019760596691 y[1] (numeric) = 1.5707364677455905007677344347997 absolute error = 3.42416248694e-20 relative error = 2.1799726161922954357426225725977e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.279 y[1] (analytic) = 1.5707448939888594600610821288389 y[1] (numeric) = 1.5707448939888594600267945090977 absolute error = 3.42876197412e-20 relative error = 2.1828891421144537323385093496688e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.278 y[1] (analytic) = 1.5707526803309589763882113382875 y[1] (numeric) = 1.5707526803309589763538777279292 absolute error = 3.43336103583e-20 relative error = 2.1858062563398509043567665055268e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.4MB, time=51.62 NO POLE x[1] = -0.277 y[1] (analytic) = 1.5707598270305814291708474649934 y[1] (numeric) = 1.5707598270305814291364678682725 absolute error = 3.43795967209e-20 relative error = 2.1887239620771544555036553452712e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.276 y[1] (analytic) = 1.5707663343463634077085952447842 y[1] (numeric) = 1.5707663343463634076741696659547 absolute error = 3.44255788295e-20 relative error = 2.1916422625536710270897203334041e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.275 y[1] (analytic) = 1.5707722025368857195130168577725 y[1] (numeric) = 1.5707722025368857194785453010881 absolute error = 3.44715566844e-20 relative error = 2.1945611609835271658761105319046e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.274 y[1] (analytic) = 1.570777431860673398606522478984 y[1] (numeric) = 1.5707774318606733985720049486982 absolute error = 3.45175302858e-20 relative error = 2.1974806605740484766944857187574e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.273 y[1] (analytic) = 1.5707820225761957138203149816844 y[1] (numeric) = 1.5707820225761957137857514820502 absolute error = 3.45634996342e-20 relative error = 2.2004007645512373395235058039452e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.4MB, time=52.01 NO POLE x[1] = -0.272 y[1] (analytic) = 1.5707859749418661770913888809033 y[1] (numeric) = 1.5707859749418661770567794161735 absolute error = 3.46094647298e-20 relative error = 2.2033214761215877933361303581055e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.271 y[1] (analytic) = 1.570789289216042551758583604651 y[1] (numeric) = 1.5707892892160425517239281790779 absolute error = 3.46554255731e-20 relative error = 2.2062427985102957217903699989329e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.27 y[1] (analytic) = 1.5707919656570268608576911803111 y[1] (numeric) = 1.5707919656570268608229897981469 absolute error = 3.47013821642e-20 relative error = 2.2091647349167077188990854412230e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.269 y[1] (analytic) = 1.5707940045230653954156184236919 y[1] (numeric) = 1.5707940045230653953808710891884 absolute error = 3.47473345035e-20 relative error = 2.2120872885588973051084279338765e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.268 y[1] (analytic) = 1.5707954060723487227436037182064 y[1] (numeric) = 1.5707954060723487227088104356149 absolute error = 3.47932825915e-20 relative error = 2.2150104626609449239519623980482e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.267 y[1] (analytic) = 1.5707961705630116947294884716479 y[1] (numeric) = 1.5707961705630116946946492452195 absolute error = 3.48392264284e-20 relative error = 2.2179342604274856827783878844850e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.4MB, time=52.41 NO POLE x[1] = -0.266 y[1] (analytic) = 1.5707962982531334561290433380203 y[1] (numeric) = 1.5707962982531334560941581720058 absolute error = 3.48851660145e-20 relative error = 2.2208586850691867147972067284446e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.265 y[1] (analytic) = 1.5707957894007374528563492918753 y[1] (numeric) = 1.5707957894007374528214181905251 absolute error = 3.49311013502e-20 relative error = 2.2237837398027596624834569628606e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.264 y[1] (analytic) = 1.5707946442637914402732336426011 y[1] (numeric) = 1.5707946442637914402382566101653 absolute error = 3.49770324358e-20 relative error = 2.2267094278382407783156169521794e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.263 y[1] (analytic) = 1.5707928631002074914777610761025 y[1] (numeric) = 1.5707928631002074914427381168308 absolute error = 3.50229592717e-20 relative error = 2.2296357523917358124281811998037e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.262 y[1] (analytic) = 1.5707904461678420055917798113024 y[1] (numeric) = 1.5707904461678420055567109294443 absolute error = 3.50688818581e-20 relative error = 2.2325627166663338592939787118282e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.261 memory used=507.3MB, alloc=4.4MB, time=52.81 y[1] (analytic) = 1.5707873937244957160475229588917 y[1] (numeric) = 1.5707873937244957160124081586962 absolute error = 3.51148001955e-20 relative error = 2.2354903238839508798377451655791e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.26 y[1] (analytic) = 1.5707837060279136988732651697435 y[1] (numeric) = 1.5707837060279136988381044554595 absolute error = 3.51607142840e-20 relative error = 2.2384185772407785963388254386220e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.259 y[1] (analytic) = 1.5707793833357853809780346604057 y[1] (numeric) = 1.5707793833357853809428280362815 absolute error = 3.52066241242e-20 relative error = 2.2413474799645930179209203597713e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.258 y[1] (analytic) = 1.5707744259057445484353807030729 y[1] (numeric) = 1.5707744259057445484001281733566 absolute error = 3.52525297163e-20 relative error = 2.2442770352574707282599328023234e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.257 y[1] (analytic) = 1.5707688339953693547661966674386 y[1] (numeric) = 1.570768833995369354730898236378 absolute error = 3.52984310606e-20 relative error = 2.2472072463276324589494467667515e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.256 y[1] (analytic) = 1.5707626078621823292205987018171 y[1] (numeric) = 1.5707626078621823291852543736598 absolute error = 3.53443281573e-20 relative error = 2.2501381163767229135180618987408e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.4MB, time=53.21 NO POLE x[1] = -0.255 y[1] (analytic) = 1.5707557477636503850588601409193 y[1] (numeric) = 1.5707557477636503850234699199122 absolute error = 3.53902210071e-20 relative error = 2.2530696486380211825850123095306e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.254 y[1] (analytic) = 1.5707482539571848278314017276585 y[1] (numeric) = 1.5707482539571848277959656180486 absolute error = 3.54361096099e-20 relative error = 2.2560018462936907440686163229098e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.253 y[1] (analytic) = 1.5707401267001413636578377363605 y[1] (numeric) = 1.570740126700141363622355742394 absolute error = 3.54819939665e-20 relative error = 2.2589347125830198406213624291276e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.252 y[1] (analytic) = 1.5707313662498201075050780847357 y[1] (numeric) = 1.5707313662498201074695502106589 absolute error = 3.55278740768e-20 relative error = 2.2618682506878390244426055138273e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.251 y[1] (analytic) = 1.5707219728634655914644865219763 y[1] (numeric) = 1.570721972863465591428912772035 absolute error = 3.55737499413e-20 relative error = 2.2648024638280293955297801463725e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.25 y[1] (analytic) = 1.570711946798266773028094980324 y[1] (numeric) = 1.5707119467982667729924753587636 absolute error = 3.56196215604e-20 relative error = 2.2677373552169702664091678043568e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=515.0MB, alloc=4.4MB, time=53.61 NO POLE x[1] = -0.249 y[1] (analytic) = 1.5707012883113570433638741774533 y[1] (numeric) = 1.5707012883113570433282086885188 absolute error = 3.56654889345e-20 relative error = 2.2706729280679178959649405576723e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.248 y[1] (analytic) = 1.5706899976598142355900605570068 y[1] (numeric) = 1.5706899976598142355543492049431 absolute error = 3.57113520637e-20 relative error = 2.2736091855749179341016363432452e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.247 y[1] (analytic) = 1.5706780751006606330485396546124 y[1] (numeric) = 1.570678075100660633012782443664 absolute error = 3.57572109484e-20 relative error = 2.2765461309510170792281970103298e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.246 y[1] (analytic) = 1.5706655208908629775772859767039 y[1] (numeric) = 1.5706655208908629775414829111149 absolute error = 3.58030655890e-20 relative error = 2.2794837674091758910113287363484e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.245 y[1] (analytic) = 1.5706523352873324777818594794625 y[1] (numeric) = 1.5706523352873324777460105634767 absolute error = 3.58489159858e-20 relative error = 2.2824220981559143088102884690086e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.4MB, time=54.02 NO POLE x[1] = -0.244 y[1] (analytic) = 1.5706385185469248173059587351874 y[1] (numeric) = 1.5706385185469248172700639730481 absolute error = 3.58947621393e-20 relative error = 2.2853611264104241733996738085778e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.243 y[1] (analytic) = 1.5706240709264401631010308733979 y[1] (numeric) = 1.5706240709264401630650902693485 absolute error = 3.59406040494e-20 relative error = 2.2883008553536468993130475263520e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.242 y[1] (analytic) = 1.5706089926826231736949383839644 y[1] (numeric) = 1.5706089926826231736589519422476 absolute error = 3.59864417168e-20 relative error = 2.2912412882174213352117016379425e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.241 y[1] (analytic) = 1.5705932840721630074596828695537 y[1] (numeric) = 1.5705932840721630074236505944119 absolute error = 3.60322751418e-20 relative error = 2.2941824282080941944988897197572e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.24 y[1] (analytic) = 1.5705769453516933308781858346734 y[1] (numeric) = 1.5705769453516933308421077303489 absolute error = 3.60781043245e-20 relative error = 2.2971242785192652315715803020879e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.239 y[1] (analytic) = 1.5705599767777923268101265985904 y[1] (numeric) = 1.5705599767777923267740026693249 absolute error = 3.61239292655e-20 relative error = 2.3000668423763688594400188444871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.4MB, time=54.42 NO POLE x[1] = -0.238 y[1] (analytic) = 1.5705423786069827027568374193895 y[1] (numeric) = 1.5705423786069827027206676694246 absolute error = 3.61697499649e-20 relative error = 2.3030101229730158170119000431089e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.237 y[1] (analytic) = 1.5705241510957316991252559164372 y[1] (numeric) = 1.570524151095731699089040350014 absolute error = 3.62155664232e-20 relative error = 2.3059541235283093036942064055882e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.236 y[1] (analytic) = 1.570505294500451097490934878502 y[1] (numeric) = 1.5705052945004510974546734998613 absolute error = 3.62613786407e-20 relative error = 2.3088988472486543798297164535333e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.235 y[1] (analytic) = 1.570485809077497228860109544782 y[1] (numeric) = 1.5704858090774972288238023581643 absolute error = 3.63071866177e-20 relative error = 2.3118442973405043186863102670591e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.234 y[1] (analytic) = 1.5704656950831709819308224460789 y[1] (numeric) = 1.5704656950831709818944694557243 absolute error = 3.63529903546e-20 relative error = 2.3147904770167403134917893387845e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.4MB, time=54.81 NO POLE x[1] = -0.233 y[1] (analytic) = 1.5704449527737178113531058933543 y[1] (numeric) = 1.5704449527737178113167071035027 absolute error = 3.63987898516e-20 relative error = 2.3177373894775811917297593473929e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.232 y[1] (analytic) = 1.570423582405327745988222200895 y[1] (numeric) = 1.570423582405327745951777615786 absolute error = 3.64445851090e-20 relative error = 2.3206850379296978516891397683281e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.231 y[1] (analytic) = 1.5704015842341353971669617313083 y[1] (numeric) = 1.570401584234135397130471355181 absolute error = 3.64903761273e-20 relative error = 2.3236334255925936235100296944409e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.23 y[1] (analytic) = 1.5703789585162199669469988495613 y[1] (numeric) = 1.5703789585162199669104626866545 absolute error = 3.65361629068e-20 relative error = 2.3265825556731457618084975538078e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.229 y[1] (analytic) = 1.5703557055076052563693058732713 y[1] (numeric) = 1.5703557055076052563327239278235 absolute error = 3.65819454478e-20 relative error = 2.3295324313783526471472772869651e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.228 y[1] (analytic) = 1.5703318254642596737136251064479 y[1] (numeric) = 1.5703318254642596736769973826973 absolute error = 3.66277237506e-20 relative error = 2.3324830559153459030980170871085e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.4MB, time=55.21 NO POLE x[1] = -0.227 y[1] (analytic) = 1.5703073186420962427529990438805 y[1] (numeric) = 1.570307318642096242716325546065 absolute error = 3.66734978155e-20 relative error = 2.3354344324914025050103522853938e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.026 Order of pole = 26.92 x[1] = -0.226 y[1] (analytic) = 1.5702821852969726110073588333572 y[1] (numeric) = 1.5702821852969726109706395657143 absolute error = 3.67192676429e-20 relative error = 2.3383865643203251627345347479709e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.225 y[1] (analytic) = 1.5702564256846910579961710828961 y[1] (numeric) = 1.570256425684691057959406049663 absolute error = 3.67650332331e-20 relative error = 2.3413394546097181622390711689643e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.224 y[1] (analytic) = 1.5702300400609985034901431001616 y[1] (numeric) = 1.5702300400609985034533323055751 absolute error = 3.68107945865e-20 relative error = 2.3442931065737359277349856065340e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.223 y[1] (analytic) = 1.5702030286815865157619866512322 y[1] (numeric) = 1.5702030286815865157251300995289 absolute error = 3.68565517033e-20 relative error = 2.3472475234139898365329776227465e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.222 y[1] (analytic) = 1.5701753918020913198362403258798 y[1] (numeric) = 1.5701753918020913197993380212958 absolute error = 3.69023045840e-20 relative error = 2.3502027083514027687214700201734e-18 % Correct digits = 19 h = 0.001 memory used=534.0MB, alloc=4.4MB, time=55.61 TOP MAIN SOLVE Loop NO POLE x[1] = -0.221 y[1] (analytic) = 1.5701471296780938057381505965124 y[1] (numeric) = 1.5701471296780938057012025432836 absolute error = 3.69480532288e-20 relative error = 2.3531586645880098830049270810096e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.22 y[1] (analytic) = 1.5701182425651195367416116579275 y[1] (numeric) = 1.5701182425651195367046178602895 absolute error = 3.69937976380e-20 relative error = 2.3561153953324447518137615596905e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.219 y[1] (analytic) = 1.5700887307186387576161641350143 y[1] (numeric) = 1.5700887307186387575791245972023 absolute error = 3.70395378120e-20 relative error = 2.3590729037999519806038260123003e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.218 y[1] (analytic) = 1.5700585943940664028730527455379 y[1] (numeric) = 1.5700585943940664028359674717868 absolute error = 3.70852737511e-20 relative error = 2.3620311931996614797816040709977e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.217 y[1] (analytic) = 1.5700278338467621050103430051306 y[1] (numeric) = 1.5700278338467621049732119996749 absolute error = 3.71310054557e-20 relative error = 2.3649902667473385253037428290632e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.4MB, time=56.01 NO POLE x[1] = -0.216 y[1] (analytic) = 1.5699964493320302027570970616092 y[1] (numeric) = 1.5699964493320302027199203286832 absolute error = 3.71767329260e-20 relative error = 2.3679501276462880961579226445781e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.215 y[1] (analytic) = 1.5699644411051197493166087457316 y[1] (numeric) = 1.5699644411051197492793862895691 absolute error = 3.72224561625e-20 relative error = 2.3709107791192134734769720498225e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.214 y[1] (analytic) = 1.5699318094212245206086979254955 y[1] (numeric) = 1.56993180942122452057142975033 absolute error = 3.72681751655e-20 relative error = 2.3738722243763816943597931921941e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.213 y[1] (analytic) = 1.5698985545354830235110642510799 y[1] (numeric) = 1.5698985545354830234737503611448 absolute error = 3.73138899351e-20 relative error = 2.3768344666156342567287646934941e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.212 y[1] (analytic) = 1.569864676702978504099700377521 y[1] (numeric) = 1.569864676702978504062340777049 absolute error = 3.73596004720e-20 relative error = 2.3797975090733575478014118808743e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.211 y[1] (analytic) = 1.5698301761787389558883647522046 y[1] (numeric) = 1.5698301761787389558509594454285 absolute error = 3.74053067761e-20 relative error = 2.3827613549353173621805293169818e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=541.7MB, alloc=4.4MB, time=56.41 NO POLE x[1] = -0.21 y[1] (analytic) = 1.5697950532177371280671140542581 y[1] (numeric) = 1.56979505321773712802966304541 absolute error = 3.74510088481e-20 relative error = 2.3857260074385894187075764462173e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.209 y[1] (analytic) = 1.5697593080748905337398953729079 y[1] (numeric) = 1.5697593080748905337023986662197 absolute error = 3.74967066882e-20 relative error = 2.3886914697887617946123906442797e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.208 y[1] (analytic) = 1.5697229410050614581611982118711 y[1] (numeric) = 1.5697229410050614581236558115744 absolute error = 3.75424002967e-20 relative error = 2.3916577451981666135226431822118e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.207 y[1] (analytic) = 1.5696859522630569669717664068369 y[1] (numeric) = 1.569685952263056966934178317163 absolute error = 3.75880896739e-20 relative error = 2.3946248368795220340834215815974e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.206 y[1] (analytic) = 1.5696483421036289144333700430894 y[1] (numeric) = 1.5696483421036289143957362682692 absolute error = 3.76337748202e-20 relative error = 2.3975927480523150619592844461521e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.4MB, time=56.80 NO POLE x[1] = -0.205 y[1] (analytic) = 1.5696101107814739516626374603159 y[1] (numeric) = 1.56961011078147395162495800458 absolute error = 3.76794557359e-20 relative error = 2.4005614819300722601149589699407e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.204 y[1] (analytic) = 1.5695712585512335348639474316381 y[1] (numeric) = 1.5695712585512335348262222992167 absolute error = 3.77251324214e-20 relative error = 2.4035310417331132650686127814569e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.203 y[1] (analytic) = 1.5695317856674939335613816038967 y[1] (numeric) = 1.5695317856674939335236107990198 absolute error = 3.77708048769e-20 relative error = 2.4065014306694495479244828835256e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.202 y[1] (analytic) = 1.5694916923847862388297372862134 y[1] (numeric) = 1.5694916923847862387919208131106 absolute error = 3.78164731028e-20 relative error = 2.4094726519602807051297796628325e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.201 y[1] (analytic) = 1.5694509789575863715246006738473 y[1] (numeric) = 1.5694509789575863714867385367478 absolute error = 3.78621370995e-20 relative error = 2.4124447088272647052824212551748e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.2 y[1] (analytic) = 1.5694096456403150905114805943555 y[1] (numeric) = 1.5694096456403150904735727974883 absolute error = 3.79077968672e-20 relative error = 2.4154176044797861924472256375399e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.4MB, time=57.21 NO POLE x[1] = -0.199 y[1] (analytic) = 1.5693676926873380008940028630623 y[1] (numeric) = 1.569367692687338000856049410656 absolute error = 3.79534524063e-20 relative error = 2.4183913421404546981803263506864e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.198 y[1] (analytic) = 1.5693251203529655622411653348328 y[1] (numeric) = 1.5693251203529655622031662311158 absolute error = 3.79991037170e-20 relative error = 2.4213659250196295939517281513208e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.197 y[1] (analytic) = 1.5692819288914530968136537391414 y[1] (numeric) = 1.5692819288914530967756089883414 absolute error = 3.80447508000e-20 relative error = 2.4243413563600366588427516895764e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.196 y[1] (analytic) = 1.569238118557000797789218385417 y[1] (numeric) = 1.5692381185570007977511279917617 absolute error = 3.80903936553e-20 relative error = 2.4273176393603141740586132809252e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.195 y[1] (analytic) = 1.5691936896037537374871118256441 y[1] (numeric) = 1.5691936896037537374489757933609 absolute error = 3.81360322832e-20 relative error = 2.4302947772387456020712427653430e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.4MB, time=57.60 NO POLE x[1] = -0.194 y[1] (analytic) = 1.5691486422858018755915875611862 y[1] (numeric) = 1.5691486422858018755534058945021 absolute error = 3.81816666841e-20 relative error = 2.4332727732205283822866981739015e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.193 y[1] (analytic) = 1.5691029768571800673744598807959 y[1] (numeric) = 1.5691029768571800673362325839374 absolute error = 3.82272968585e-20 relative error = 2.4362516305377867457403141246063e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.192 y[1] (analytic) = 1.5690566935718680719167249167673 y[1] (numeric) = 1.5690566935718680718784519939607 absolute error = 3.82729228066e-20 relative error = 2.4392313524040915388019359480780e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.191 y[1] (analytic) = 1.5690097926837905603292430061804 y[1] (numeric) = 1.5690097926837905602909244616517 absolute error = 3.83185445287e-20 relative error = 2.4422119420399630799179390345555e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.19 y[1] (analytic) = 1.568962274446817123972482444179 y[1] (numeric) = 1.5689622744468171239341182821539 absolute error = 3.83641620251e-20 relative error = 2.4451934026665103333543006960060e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.189 y[1] (analytic) = 1.5689141391147622826753247162191 y[1] (numeric) = 1.5689141391147622826369149409229 absolute error = 3.84097752962e-20 relative error = 2.4481757375118166131669983874865e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.4MB, time=58.01 NO POLE x[1] = -0.188 y[1] (analytic) = 1.5688653869413854929529312962147 y[1] (numeric) = 1.5688653869413854929144759118723 absolute error = 3.84553843424e-20 relative error = 2.4511589498045784048754757721503e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.187 y[1] (analytic) = 1.568816018180391156223672097505 y[1] (numeric) = 1.5688160181803911561851711083412 absolute error = 3.85009891638e-20 relative error = 2.4541430427549945496407761604499e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.186 y[1] (analytic) = 1.5687660330854286270251156635579 y[1] (numeric) = 1.5687660330854286269865690737969 absolute error = 3.85465897610e-20 relative error = 2.4571280196057705737310144437262e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.185 y[1] (analytic) = 1.5687154319100922212290811853166 y[1] (numeric) = 1.5687154319100922211904889991825 absolute error = 3.85921861341e-20 relative error = 2.4601138835683892059749512706108e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.184 y[1] (analytic) = 1.5686642149079212242557524320946 y[1] (numeric) = 1.5686642149079212242171146538109 absolute error = 3.86377782837e-20 relative error = 2.4631006378868656038484933709319e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.183 memory used=560.7MB, alloc=4.4MB, time=58.41 y[1] (analytic) = 1.5686123823323998992868536829095 y[1] (numeric) = 1.5686123823323998992481703166996 absolute error = 3.86833662099e-20 relative error = 2.4660882857740138010565749624115e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.182 y[1] (analytic) = 1.5685599344369574954778877451481 y[1] (numeric) = 1.5685599344369574954391587952351 absolute error = 3.87289499130e-20 relative error = 2.4690768304560802150524838808024e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.181 y[1] (analytic) = 1.5685068714749682561694361474421 y[1] (numeric) = 1.5685068714749682561306616180485 absolute error = 3.87745293936e-20 relative error = 2.4720662751791330802164485305655e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.18 y[1] (analytic) = 1.5684531936997514270975215936278 y[1] (numeric) = 1.5684531936997514270587014889762 absolute error = 3.88201046516e-20 relative error = 2.4750566231453204710374097251183e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.179 y[1] (analytic) = 1.5683989013645712646030327646618 y[1] (numeric) = 1.5683989013645712645641670889741 absolute error = 3.88656756877e-20 relative error = 2.4780478776085134170298700711688e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.178 y[1] (analytic) = 1.5683439947226370438402115553488 y[1] (numeric) = 1.5683439947226370438013003128467 absolute error = 3.89112425021e-20 relative error = 2.4810400417914365785180169700586e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.4MB, time=58.81 NO POLE x[1] = -0.177 y[1] (analytic) = 1.5682884740271030669842028327398 y[1] (numeric) = 1.5682884740271030669452460276447 absolute error = 3.89568050951e-20 relative error = 2.4840331189239327942588873277871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.176 y[1] (analytic) = 1.5682323395310686714376668030461 y[1] (numeric) = 1.5682323395310686713986644395789 absolute error = 3.90023634672e-20 relative error = 2.4870271122493526232966423200563e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.175 y[1] (analytic) = 1.5681755914875782380364540739102 y[1] (numeric) = 1.5681755914875782379974061562917 absolute error = 3.90479176185e-20 relative error = 2.4900220249863074474963006828784e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.174 y[1] (analytic) = 1.5681182301496211992543434988689 y[1] (numeric) = 1.5681182301496211992152500313195 absolute error = 3.90934675494e-20 relative error = 2.4930178603733161612236642150392e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.173 y[1] (analytic) = 1.568060255770132047406842890834 y[1] (numeric) = 1.5680602557701320473677038775737 absolute error = 3.91390132603e-20 relative error = 2.4960146216496885504387132339518e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.172 y[1] (analytic) = 1.568001668601990342854052691412 y[1] (numeric) = 1.5680016686019903428148681366606 absolute error = 3.91845547514e-20 relative error = 2.4990123120427820370640490491522e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.4MB, time=59.22 NO POLE x[1] = -0.171 y[1] (analytic) = 1.5679424688980207222025926828771 y[1] (numeric) = 1.5679424688980207221633625908539 absolute error = 3.92300920232e-20 relative error = 2.5020109347999000262885983294864e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.17 y[1] (analytic) = 1.5678826569109929065065918296025 y[1] (numeric) = 1.5678826569109929064673162045267 absolute error = 3.92756250758e-20 relative error = 2.5050104931436611350725632481171e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.169 y[1] (analytic) = 1.5678222328936217094677413357532 y[1] (numeric) = 1.5678222328936217094284201818433 absolute error = 3.93211539099e-20 relative error = 2.5080109903357888673262859164593e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.168 y[1] (analytic) = 1.5677611970985670456344110060297 y[1] (numeric) = 1.5677611970985670455950443275042 absolute error = 3.93666785255e-20 relative error = 2.5110124295942100187491846997987e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.167 y[1] (analytic) = 1.5676995497784339385998289962536 y[1] (numeric) = 1.5676995497784339385604167973306 absolute error = 3.94121989230e-20 relative error = 2.5140148141632242993728156971714e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.4MB, time=59.63 NO POLE x[1] = -0.166 y[1] (analytic) = 1.5676372911857725291993250405711 y[1] (numeric) = 1.5676372911857725291598673254683 absolute error = 3.94577151028e-20 relative error = 2.5170181472880050113184683569487e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.165 y[1] (analytic) = 1.56757442157307808370663724205 y[1] (numeric) = 1.5675744215730780836671340149849 absolute error = 3.95032270651e-20 relative error = 2.5200224322018522995891774083159e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.164 y[1] (analytic) = 1.5675109411927910020292825134355 y[1] (numeric) = 1.5675109411927910019897337786251 absolute error = 3.95487348104e-20 relative error = 2.5230276721581000862290196864734e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.163 y[1] (analytic) = 1.5674468502972968259029907548243 y[1] (numeric) = 1.5674468502972968258633965164854 absolute error = 3.95942383389e-20 relative error = 2.5260338703918529347320806350150e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.162 y[1] (analytic) = 1.5673821491389262470852028550103 y[1] (numeric) = 1.5673821491389262470455631173592 absolute error = 3.96397376511e-20 relative error = 2.5290410301582743245569626657048e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.161 y[1] (analytic) = 1.567316837969955115547632603247 y[1] (numeric) = 1.5673168379699551155079473705 absolute error = 3.96852327470e-20 relative error = 2.5320491546815597500013089275455e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.4MB, time=60.03 NO POLE x[1] = -0.16 y[1] (analytic) = 1.5672509170426044476678925981676 y[1] (numeric) = 1.5672509170426044476281618745403 absolute error = 3.97307236273e-20 relative error = 2.5350582472315090331963516965136e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.159 y[1] (analytic) = 1.5671843866090404344201842405924 y[1] (numeric) = 1.5671843866090404343804080303003 absolute error = 3.97762102921e-20 relative error = 2.5380683110405961977569957707919e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.158 y[1] (analytic) = 1.5671172469213744495650518969526 y[1] (numeric) = 1.5671172469213744495252302042109 absolute error = 3.98216927417e-20 relative error = 2.5410793493550222937096667763239e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.157 y[1] (analytic) = 1.5670494982316630578382013200469 y[1] (numeric) = 1.5670494982316630577983341490703 absolute error = 3.98671709766e-20 relative error = 2.5440913654347298829635473330250e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.156 y[1] (analytic) = 1.566981140791908023138382413844 y[1] (numeric) = 1.5669811407919080230984697688468 absolute error = 3.99126449972e-20 relative error = 2.5471043625342725053719118409604e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.4MB, time=60.43 NO POLE x[1] = -0.155 y[1] (analytic) = 1.5669121748540563167143364290362 y[1] (numeric) = 1.5669121748540563166743783142327 absolute error = 3.99581148035e-20 relative error = 2.5501183438836791627588958986151e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.154 y[1] (analytic) = 1.5668426006700001253508076760441 y[1] (numeric) = 1.5668426006700001253108040956481 absolute error = 4.00035803960e-20 relative error = 2.5531333127459008074090681487235e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.153 y[1] (analytic) = 1.5667724184915768595536198421614 y[1] (numeric) = 1.5667724184915768595135708003864 absolute error = 4.00490417750e-20 relative error = 2.5561492723721513510439059842255e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.152 y[1] (analytic) = 1.5667016285705691617338169995281 y[1] (numeric) = 1.5667016285705691616937225005871 absolute error = 4.00944989410e-20 relative error = 2.5591662260274479472730993935471e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.151 y[1] (analytic) = 1.566630231158704914390869390608 y[1] (numeric) = 1.5666302311587049143507294387139 absolute error = 4.01399518941e-20 relative error = 2.5621841769523269077929218181466e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.15 y[1] (analytic) = 1.566558226507657248294944077844 y[1] (numeric) = 1.5665582265076572482547586772093 absolute error = 4.01854006347e-20 relative error = 2.5652031284075335981256080039998e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.4MB, time=60.83 NO POLE x[1] = -0.149 y[1] (analytic) = 1.5664856148690445506682405441548 y[1] (numeric) = 1.5664856148690445506280096989916 absolute error = 4.02308451632e-20 relative error = 2.5682230836548874455538633460093e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.148 y[1] (analytic) = 1.5664123964944304733653913309311 y[1] (numeric) = 1.5664123964944304733251150454512 absolute error = 4.02762854799e-20 relative error = 2.5712440459509097176619557915050e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.147 y[1] (analytic) = 1.5663385716353239410529278001837 y[1] (numeric) = 1.5663385716353239410126060785986 absolute error = 4.03217215851e-20 relative error = 2.5742660185532181265388376266736e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.146 y[1] (analytic) = 1.566264140543179159387811107487 y[1] (numeric) = 1.5662641405431791593474439540079 absolute error = 4.03671534791e-20 relative error = 2.5772890047205385963292561317174e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.145 y[1] (analytic) = 1.5661891034693956231950284723559 y[1] (numeric) = 1.5661891034693956231546158911936 absolute error = 4.04125811623e-20 relative error = 2.5803130077191019555340718166688e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.144 y[1] (analytic) = 1.5661134606653181246442548326878 y[1] (numeric) = 1.5661134606653181246037968280529 absolute error = 4.04580046349e-20 relative error = 2.5833380308035015458098624145018e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.4MB, time=61.23 NO POLE x[1] = -0.143 y[1] (analytic) = 1.5660372123822367614255799698931 y[1] (numeric) = 1.5660372123822367613850765459958 absolute error = 4.05034238973e-20 relative error = 2.5863640772422440822865108670802e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.142 y[1] (analytic) = 1.5659603588713869449243011913323 y[1] (numeric) = 1.5659603588713869448837523523825 absolute error = 4.05488389498e-20 relative error = 2.5893911502986069563884035893131e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.141 y[1] (analytic) = 1.5658829003839494083947816566704 y[1] (numeric) = 1.5658829003839494083541874068775 absolute error = 4.05942497929e-20 relative error = 2.5924192532498069692206837244798e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.14 y[1] (analytic) = 1.565804837171050215133374434752 y[1] (numeric) = 1.5658048371710502150927347783253 absolute error = 4.06396564267e-20 relative error = 2.5954483893486963309427657112067e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.139 y[1] (analytic) = 1.565726169483760766650412377596 y[1] (numeric) = 1.5657261694837607666097273187442 absolute error = 4.06850588518e-20 relative error = 2.5984785618812493762309121762862e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=591.3MB, alloc=4.4MB, time=61.63 NO POLE x[1] = -0.138 y[1] (analytic) = 1.5656468975730978108412638980978 y[1] (numeric) = 1.5656468975730978108005334410296 absolute error = 4.07304570682e-20 relative error = 2.6015097740963238683461880284391e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.137 y[1] (analytic) = 1.5655670216900234501564547380258 y[1] (numeric) = 1.5655670216900234501156788869493 absolute error = 4.07758510765e-20 relative error = 2.6045420292823126113085928929374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.136 y[1] (analytic) = 1.5654865420854451497708558128864 y[1] (numeric) = 1.5654865420854451497300345720095 absolute error = 4.08212408769e-20 relative error = 2.6075753307032870904930901402481e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.135 y[1] (analytic) = 1.5654054590102157457519372202295 y[1] (numeric) = 1.5654054590102157457110705937597 absolute error = 4.08666264698e-20 relative error = 2.6106096816373314277772984644605e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.134 y[1] (analytic) = 1.5653237727151334532270884979574 y[1] (numeric) = 1.5653237727151334531861764901021 absolute error = 4.09120078553e-20 relative error = 2.6136450853446151871304340669315e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.133 y[1] (analytic) = 1.5652414834509418745500052191943 y[1] (numeric) = 1.5652414834509418745090478341603 absolute error = 4.09573850340e-20 relative error = 2.6166815451185104573054909480121e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.4MB, time=62.03 NO POLE x[1] = -0.132 y[1] (analytic) = 1.5651585914683300074661420102648 y[1] (numeric) = 1.5651585914683300074251392522587 absolute error = 4.10027580061e-20 relative error = 2.6197190642281098727910664119727e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.131 y[1] (analytic) = 1.565075097017932253277232078327 y[1] (numeric) = 1.565075097017932253236183951555 absolute error = 4.10481267720e-20 relative error = 2.6227576459565684633776457272237e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.13 y[1] (analytic) = 1.5649910003503284250048733351949 y[1] (numeric) = 1.5649910003503284249637798438629 absolute error = 4.10934913320e-20 relative error = 2.6257972935819493976370322057639e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.129 y[1] (analytic) = 1.5649063017160437555531812038804 y[1] (numeric) = 1.564906301716043755512042352194 absolute error = 4.11388516864e-20 relative error = 2.6288380103836242131048566546406e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.128 y[1] (analytic) = 1.5648210013655489058705081943778 y[1] (numeric) = 1.5648210013655489058293239865423 absolute error = 4.11842078355e-20 relative error = 2.6318797996422845930721698839841e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.4MB, time=62.43 NO POLE x[1] = -0.127 y[1] (analytic) = 1.5647350995492599731102303352074 y[1] (numeric) = 1.5647350995492599730690007754276 absolute error = 4.12295597798e-20 relative error = 2.6349226646527358609888905151011e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.126 y[1] (analytic) = 1.5646485965175384987906005472264 y[1] (numeric) = 1.5646485965175384987493256397071 absolute error = 4.12749075193e-20 relative error = 2.6379666086791738133413112885161e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.125 y[1] (analytic) = 1.5645614925206914769536690462125 y[1] (numeric) = 1.5645614925206914769123487951578 absolute error = 4.13202510547e-20 relative error = 2.6410116350318864623464877428029e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.124 y[1] (analytic) = 1.5644737878089713623232708607119 y[1] (numeric) = 1.5644737878089713622819052703259 absolute error = 4.13655903860e-20 relative error = 2.6440577469777913270757651516639e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.123 y[1] (analytic) = 1.564385482632576078462080551646 y[1] (numeric) = 1.5643854826325760784206696261322 absolute error = 4.14109255138e-20 relative error = 2.6471049478235344124909350511943e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.122 y[1] (analytic) = 1.5642965772416490259277342201547 y[1] (numeric) = 1.5642965772416490258862779637164 absolute error = 4.14562564383e-20 relative error = 2.6501532408515863234475300811476e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.4MB, time=62.83 NO POLE x[1] = -0.121 y[1] (analytic) = 1.5642070718862790904280188901549 y[1] (numeric) = 1.5642070718862790903865173069951 absolute error = 4.15015831598e-20 relative error = 2.6532026293522118894298832333929e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.12 y[1] (analytic) = 1.5641169668165006509751293520824 y[1] (numeric) = 1.5641169668165006509335824464037 absolute error = 4.15469056787e-20 relative error = 2.6562531166234837715597091187598e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.119 y[1] (analytic) = 1.5640262622822935880389925542788 y[1] (numeric) = 1.5640262622822935879974003302835 absolute error = 4.15922239953e-20 relative error = 2.6593047059585086000723397987711e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.118 y[1] (analytic) = 1.5639349585335832916996596284795 y[1] (numeric) = 1.5639349585335832916580220903695 absolute error = 4.16375381100e-20 relative error = 2.6623574006582251833492391635799e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.117 y[1] (analytic) = 1.5638430558202406697987656358514 y[1] (numeric) = 1.5638430558202406697570827878285 absolute error = 4.16828480229e-20 relative error = 2.6654112040058401696435677838345e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.116 memory used=606.5MB, alloc=4.4MB, time=63.23 y[1] (analytic) = 1.5637505543920821560900571200228 y[1] (numeric) = 1.5637505543920821560483289662882 absolute error = 4.17281537346e-20 relative error = 2.6684661193179932523205575039895e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.115 y[1] (analytic) = 1.5636574544988697183889875535391 y[1] (numeric) = 1.5636574544988697183472140982939 absolute error = 4.17734552452e-20 relative error = 2.6715221498808258150758700803778e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.114 y[1] (analytic) = 1.5635637563903108667213807641751 y[1] (numeric) = 1.56356375639031086667956201162 absolute error = 4.18187525551e-20 relative error = 2.6745792990011483968497660517981e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.113 y[1] (analytic) = 1.5634694603160586614711624275237 y[1] (numeric) = 1.5634694603160586614292983818589 absolute error = 4.18640456648e-20 relative error = 2.6776375699936661722339660370570e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.112 y[1] (analytic) = 1.5633745665257117215271597122766 y[1] (numeric) = 1.5633745665257117214852503777022 absolute error = 4.19093345744e-20 relative error = 2.6806969661490106287383272157843e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.111 y[1] (analytic) = 1.5632790752688142324289691646063 y[1] (numeric) = 1.5632790752688142323870145453219 absolute error = 4.19546192844e-20 relative error = 2.6837574907849180992134471928175e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.4MB, time=63.63 Complex estimate of poles used Radius of convergence = 1.788 Order of pole = 13.9 x[1] = -0.11 y[1] (analytic) = 1.563182986794855954511892918049 y[1] (numeric) = 1.563182986794855954469893018254 absolute error = 4.19998997950e-20 relative error = 2.6868191472014689661868839334650e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.109 y[1] (analytic) = 1.5630863013532722310509433152852 y[1] (numeric) = 1.5630863013532722310088981391786 absolute error = 4.20451761066e-20 relative error = 2.6898819387130815921898306582102e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.108 y[1] (analytic) = 1.5629890191934439964039160282039 y[1] (numeric) = 1.5629890191934439963618255799845 absolute error = 4.20904482194e-20 relative error = 2.6929458686229361084680558606682e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.107 y[1] (analytic) = 1.562891140564697784153531762634 y[1] (numeric) = 1.5628911405646977841113960465001 absolute error = 4.21357161339e-20 relative error = 2.6960109402549742498280055093326e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.106 y[1] (analytic) = 1.5627926657163057352486466341151 y[1] (numeric) = 1.5627926657163057352064656542647 absolute error = 4.21809798504e-20 relative error = 2.6990771569219231986977716044359e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.105 y[1] (analytic) = 1.5626935948974856061445313010775 y[1] (numeric) = 1.5626935948974856061023050617084 absolute error = 4.22262393691e-20 relative error = 2.7021445219317026174767829260634e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.4MB, time=64.03 NO POLE x[1] = -0.104 y[1] (analytic) = 1.5625939283574007769422189417916 y[1] (numeric) = 1.5625939283574007768999474471011 absolute error = 4.22714946905e-20 relative error = 2.7052130386130329044805305999258e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.103 y[1] (analytic) = 1.5624936663451602595269221614403 y[1] (numeric) = 1.5624936663451602594846054156255 absolute error = 4.23167458148e-20 relative error = 2.7082827102770530122894566927677e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.102 y[1] (analytic) = 1.5623928091098187057055189156636 y[1] (numeric) = 1.5623928091098187056631569229212 absolute error = 4.23619927424e-20 relative error = 2.7113535402493283387223668251179e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.101 y[1] (analytic) = 1.5622913569003764153431075369148 y[1] (numeric) = 1.5622913569003764153007003014413 absolute error = 4.24072354735e-20 relative error = 2.7144255318442632860104322473484e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.1 y[1] (analytic) = 1.5621893099657793444986309499634 y[1] (numeric) = 1.5621893099657793444561784759548 absolute error = 4.24524740086e-20 relative error = 2.7174986883971153191677261715546e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=618.0MB, alloc=4.4MB, time=64.43 NO POLE x[1] = -0.099 y[1] (analytic) = 1.5620866685549191135595701628713 y[1] (numeric) = 1.5620866685549191135170724545233 absolute error = 4.24977083480e-20 relative error = 2.7205730132320046374809769769059e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.098 y[1] (analytic) = 1.5619834329166330153757071197634 y[1] (numeric) = 1.5619834329166330153331641812715 absolute error = 4.25429384919e-20 relative error = 2.7236485096683239683423053197188e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.097 y[1] (analytic) = 1.5618796032997040233919570017064 y[1] (numeric) = 1.5618796032997040233493688372657 absolute error = 4.25881644407e-20 relative error = 2.7267251810399559283816083345597e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.096 y[1] (analytic) = 1.5617751799528607997802700620031 y[1] (numeric) = 1.5617751799528607997376366758084 absolute error = 4.26333861947e-20 relative error = 2.7298030306760802355838855962069e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.095 y[1] (analytic) = 1.5616701631247777035706030822021 y[1] (numeric) = 1.5616701631247777035279244784478 absolute error = 4.26786037543e-20 relative error = 2.7328820619139902541539929419138e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.094 y[1] (analytic) = 1.561564553064074798780960535117 y[1] (numeric) = 1.5615645530640747987382367179972 absolute error = 4.27238171198e-20 relative error = 2.7359622780862993677081257214554e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.4MB, time=64.83 NO POLE x[1] = -0.093 y[1] (analytic) = 1.5614583500193178625465055411421 y[1] (numeric) = 1.5614583500193178625037365148506 absolute error = 4.27690262915e-20 relative error = 2.7390436825273549759633756452216e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.092 y[1] (analytic) = 1.5613515542390183932477407041448 y[1] (numeric) = 1.5613515542390183932049264728751 absolute error = 4.28142312697e-20 relative error = 2.7421262785732503794677204813576e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.091 y[1] (analytic) = 1.5612441659716336186377589132077 y[1] (numeric) = 1.5612441659716336185948994811529 absolute error = 4.28594320548e-20 relative error = 2.7452100695682418170540258287545e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.09 y[1] (analytic) = 1.5611361854655665039685641964877 y[1] (numeric) = 1.5611361854655665039256595678406 absolute error = 4.29046286471e-20 relative error = 2.7482950588519513930658250675397e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.089 y[1] (analytic) = 1.5610276129691657601164627134518 y[1] (numeric) = 1.5610276129691657600735128924049 absolute error = 4.29498210469e-20 relative error = 2.7513812497657828103174910108865e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.4MB, time=65.23 NO POLE x[1] = -0.088 y[1] (analytic) = 1.5609184487307258517065239717434 y[1] (numeric) = 1.5609184487307258516635289624888 absolute error = 4.29950092546e-20 relative error = 2.7544686456593397587300879739041e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.087 y[1] (analytic) = 1.5608086929984870052361123549244 y[1] (numeric) = 1.5608086929984870051930721616539 absolute error = 4.30401932705e-20 relative error = 2.7575572498776262067372950382172e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.086 y[1] (analytic) = 1.5606983460206352171974890473344 y[1] (numeric) = 1.5606983460206352171544036742395 absolute error = 4.30853730949e-20 relative error = 2.7606470657674634635592018246715e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.085 y[1] (analytic) = 1.5605874080453022621994844422993 y[1] (numeric) = 1.5605874080453022621563538935712 absolute error = 4.31305487281e-20 relative error = 2.7637380966775020986800194132689e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.084 y[1] (analytic) = 1.5604758793205657010882411199157 y[1] (numeric) = 1.5604758793205657010450653997452 absolute error = 4.31757201705e-20 relative error = 2.7668303459646421682072176097954e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.083 y[1] (analytic) = 1.5603637600944488890670274806304 y[1] (numeric) = 1.560363760094448889023806593208 absolute error = 4.32208874224e-20 relative error = 2.7699238169812299233903141180950e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.4MB, time=65.64 NO POLE x[1] = -0.082 y[1] (analytic) = 1.5602510506149209838151221208287 y[1] (numeric) = 1.5602510506149209837718560703446 absolute error = 4.32660504841e-20 relative error = 2.7730185130814766814599427883512e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.081 y[1] (analytic) = 1.5601377511298969536057690366372 y[1] (numeric) = 1.5601377511298969535624578272813 absolute error = 4.33112093559e-20 relative error = 2.7761144376214707669694598727260e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.08 y[1] (analytic) = 1.5600238618872375854232037421401 y[1] (numeric) = 1.5600238618872375853798473781019 absolute error = 4.33563640382e-20 relative error = 2.7792115939655996171905912122465e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.079 y[1] (analytic) = 1.5599093831347494930787503882026 y[1] (numeric) = 1.5599093831347494930353488736713 absolute error = 4.34015145313e-20 relative error = 2.7823099854737428295022107687753e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.078 y[1] (analytic) = 1.5597943151201851253259899680865 y[1] (numeric) = 1.559794315120185125282543307251 absolute error = 4.34466608355e-20 relative error = 2.7854096155076928821066964850652e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.077 y[1] (analytic) = 1.5596786580912427739749996960377 y[1] (numeric) = 1.5596786580912427739315078930866 absolute error = 4.34918029511e-20 relative error = 2.7885104874311670986963019594292e-18 % Correct digits = 19 memory used=633.2MB, alloc=4.4MB, time=66.03 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.076 y[1] (analytic) = 1.5595624122955665820056636450185 y[1] (numeric) = 1.5595624122955665819621267041399 absolute error = 4.35369408786e-20 relative error = 2.7916126046226437292256035023799e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.075 y[1] (analytic) = 1.5594455779807465516800547297487 y[1] (numeric) = 1.5594455779807465516364726551307 absolute error = 4.35820746180e-20 relative error = 2.7947159704304909828059476867406e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.657 Order of pole = 28.15 x[1] = -0.074 y[1] (analytic) = 1.5593281553943185526538881212178 y[1] (numeric) = 1.5593281553943185526102609170479 absolute error = 4.36272041699e-20 relative error = 2.7978205882435101898474790193159e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.073 y[1] (analytic) = 1.559210144783764330087046178817 y[1] (numeric) = 1.5592101447837643300433738492823 absolute error = 4.36723295347e-20 relative error = 2.8009264614396542486364612868822e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.072 y[1] (analytic) = 1.5590915463965115127531749862385 y[1] (numeric) = 1.5590915463965115127094575355261 absolute error = 4.37174507124e-20 relative error = 2.8040335933732068341809023026984e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.4MB, time=66.43 NO POLE x[1] = -0.071 y[1] (analytic) = 1.5589723604799336211483525772822 y[1] (numeric) = 1.5589723604799336211045900095786 absolute error = 4.37625677036e-20 relative error = 2.8071419874389294373960878498919e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.07 y[1] (analytic) = 1.5588525872813500755988289376984 y[1] (numeric) = 1.5588525872813500755550212571899 absolute error = 4.38076805085e-20 relative error = 2.8102516470079383373166785620876e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.069 y[1] (analytic) = 1.5587322270480262043678378691957 y[1] (numeric) = 1.5587322270480262043239850800682 absolute error = 4.38527891275e-20 relative error = 2.8133625754661996052961786922860e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.068 y[1] (analytic) = 1.5586112800271732517614808017302 y[1] (numeric) = 1.5586112800271732517175829081692 absolute error = 4.38978935610e-20 relative error = 2.8164747762017141450602170184929e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.067 y[1] (analytic) = 1.5584897464659483862336826401891 y[1] (numeric) = 1.5584897464659483861897396463801 absolute error = 4.39429938090e-20 relative error = 2.8195882525788638739413491226875e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.066 y[1] (analytic) = 1.5583676266114547084902197315745 y[1] (numeric) = 1.5583676266114547084462316417022 absolute error = 4.39880898723e-20 relative error = 2.8227030080154173807762781354362e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.4MB, time=66.84 NO POLE x[1] = -0.065 y[1] (analytic) = 1.5582449207107412595918200387833 y[1] (numeric) = 1.5582449207107412595477868570325 absolute error = 4.40331817508e-20 relative error = 2.8258190458734650082846657943835e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.064 y[1] (analytic) = 1.5581216290108030290563356070795 y[1] (numeric) = 1.5581216290108030290122573376345 absolute error = 4.40782694450e-20 relative error = 2.8289363695556779400827927575931e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.063 y[1] (analytic) = 1.557997751758580962959987409339 y[1] (numeric) = 1.5579977517585809629158640563837 absolute error = 4.41233529553e-20 relative error = 2.8320549824604060062276399005967e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.062 y[1] (analytic) = 1.5578732892009619720376826561491 y[1] (numeric) = 1.5578732892009619719935142238672 absolute error = 4.41684322819e-20 relative error = 2.8351748879752682269917101643359e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.061 y[1] (analytic) = 1.5577482415847789397824046568322 y[1] (numeric) = 1.557748241584778939738191149407 absolute error = 4.42135074252e-20 relative error = 2.8382960895028378478470612941307e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=644.7MB, alloc=4.4MB, time=67.23 NO POLE x[1] = -0.06 y[1] (analytic) = 1.5576226091568107305436753174596 y[1] (numeric) = 1.5576226091568107304994167390741 absolute error = 4.42585783855e-20 relative error = 2.8414185904413994513689701942529e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.059 y[1] (analytic) = 1.5574963921637821976250903619134 y[1] (numeric) = 1.5574963921637821975807867167502 absolute error = 4.43036451632e-20 relative error = 2.8445423941977995897922749704521e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.106 Order of pole = 0.6534 x[1] = -0.058 y[1] (analytic) = 1.5573695908523641913809273620473 y[1] (numeric) = 1.5573695908523641913365786542888 absolute error = 4.43487077585e-20 relative error = 2.8476675041681982441225978384297e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.057 y[1] (analytic) = 1.5572422054691735673118266629924 y[1] (numeric) = 1.5572422054691735672674328968206 absolute error = 4.43937661718e-20 relative error = 2.8507939237637621343025930240463e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.056 y[1] (analytic) = 1.5571142362607731941595452896446 y[1] (numeric) = 1.5571142362607731941151064692413 absolute error = 4.44388204033e-20 relative error = 2.8539216563849935373549465026557e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.055 y[1] (analytic) = 1.5569856834736719620007839203665 y[1] (numeric) = 1.556985683473671961956300049913 absolute error = 4.44838704535e-20 relative error = 2.8570507054538504621637878290600e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.4MB, time=67.63 NO POLE x[1] = -0.054 y[1] (analytic) = 1.5568565473543247903400870139264 y[1] (numeric) = 1.5568565473543247902955580976037 absolute error = 4.45289163227e-20 relative error = 2.8601810743816507459405871507801e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.053 y[1] (analytic) = 1.5567268281491326362018161756942 y[1] (numeric) = 1.556726828149132636157242217683 absolute error = 4.45739580112e-20 relative error = 2.8633127665819263563493503178400e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.052 y[1] (analytic) = 1.5565965261044425022211968491042 y[1] (numeric) = 1.556596526104442502176577853585 absolute error = 4.46189955192e-20 relative error = 2.8664457854640112627906087572017e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.051 y[1] (analytic) = 1.5564656414665474447344384183903 y[1] (numeric) = 1.5564656414665474446897743895431 absolute error = 4.46640288472e-20 relative error = 2.8695801344587501374902267466906e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.05 y[1] (analytic) = 1.5563341744816865818679278085896 y[1] (numeric) = 1.556334174481686581823218750594 absolute error = 4.47090579956e-20 relative error = 2.8727158169928172106274126140930e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.4MB, time=68.03 NO POLE x[1] = -0.049 y[1] (analytic) = 1.556202125396045101626496668807 y[1] (numeric) = 1.5562021253960451015817425858425 absolute error = 4.47540829645e-20 relative error = 2.8758528364758739621404024175648e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.048 y[1] (analytic) = 1.5560694944557542699807622247252 y[1] (numeric) = 1.5560694944557542699359631209709 absolute error = 4.47991037543e-20 relative error = 2.8789911963391317978189332080721e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.047 y[1] (analytic) = 1.5559362819068914389535418863362 y[1] (numeric) = 1.5559362819068914389086977659708 absolute error = 4.48441203654e-20 relative error = 2.8821309000160914435492490920012e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.046 y[1] (analytic) = 1.5558024879954800547053416968663 y[1] (numeric) = 1.5558024879954800546604525640682 absolute error = 4.48891327981e-20 relative error = 2.8852719509361276142775028988587e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.045 y[1] (analytic) = 1.5556681129674896656189187088588 y[1] (numeric) = 1.5556681129674896655739845678061 absolute error = 4.49341410527e-20 relative error = 2.8884143525309265733030389876229e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.044 y[1] (analytic) = 1.5555331570688359303829173733716 y[1] (numeric) = 1.5555331570688359303379382282421 absolute error = 4.49791451295e-20 relative error = 2.8915581082344983452920443357427e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.4MB, time=68.43 NO POLE x[1] = -0.043 y[1] (analytic) = 1.55539762054538062607458002824 y[1] (numeric) = 1.5553976205453806260295558832112 absolute error = 4.50241450288e-20 relative error = 2.8947032214831889383805246662941e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.042 y[1] (analytic) = 1.5552615036429316562415315713498 y[1] (numeric) = 1.5552615036429316561964624305986 absolute error = 4.50691407512e-20 relative error = 2.8978496957349819360777232175604e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.041 y[1] (analytic) = 1.5551248066072430589826384048561 y[1] (numeric) = 1.5551248066072430589375242725596 absolute error = 4.51141322965e-20 relative error = 2.9009975343987853429627498380735e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.04 y[1] (analytic) = 1.554987529684015015027941736282 y[1] (numeric) = 1.5549875296840150149827826166164 absolute error = 4.51591196656e-20 relative error = 2.9041467409566086773042006170871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.039 y[1] (analytic) = 1.5548496731188938558176653224156 y[1] (numeric) = 1.5548496731188938557724612195572 absolute error = 4.52041028584e-20 relative error = 2.9072973188285451771491699572741e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.038 y[1] (analytic) = 1.5547112371574720715802977419287 y[1] (numeric) = 1.5547112371574720715350486600533 memory used=659.9MB, alloc=4.4MB, time=68.83 absolute error = 4.52490818754e-20 relative error = 2.9104492714756685868035300636931e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.037 y[1] (analytic) = 1.5545722220452883194097492826227 y[1] (numeric) = 1.5545722220452883193644552259057 absolute error = 4.52940567170e-20 relative error = 2.9136026023550341263665448970480e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.036 y[1] (analytic) = 1.5544326280278274313415835292076 y[1] (numeric) = 1.5544326280278274312962445018243 absolute error = 4.53390273833e-20 relative error = 2.9167573149068215107482734179409e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.035 y[1] (analytic) = 1.554292455350520422428323737512 y[1] (numeric) = 1.554292455350520422382939743637 absolute error = 4.53839938750e-20 relative error = 2.9199134126122427308295904515098e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.034 y[1] (analytic) = 1.5541517042587444988138340810114 y[1] (numeric) = 1.5541517042587444987684051248194 absolute error = 4.54289561920e-20 relative error = 2.9230708989034904955880117109411e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.033 y[1] (analytic) = 1.5540103749978230658067758555627 y[1] (numeric) = 1.5540103749978230657613019412278 absolute error = 4.54739143349e-20 relative error = 2.9262297772602516953333394018699e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.4MB, time=69.24 NO POLE x[1] = -0.032 y[1] (analytic) = 1.5538684678130257359531387282176 y[1] (numeric) = 1.5538684678130257359076198599137 absolute error = 4.55188683039e-20 relative error = 2.9293900511389491358916630772122e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.031 y[1] (analytic) = 1.5537259829495683371078471159881 y[1] (numeric) = 1.5537259829495683370622832978887 absolute error = 4.55638180994e-20 relative error = 2.9325517240113589964718654120374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.03 y[1] (analytic) = 1.5535829206526129205054417804259 y[1] (numeric) = 1.5535829206526129204598330167043 absolute error = 4.56087637216e-20 relative error = 2.9357147993388821441422676939413e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.029 y[1] (analytic) = 1.5534392811672677688298367238738 y[1] (numeric) = 1.5534392811672677687841830187028 absolute error = 4.56537051710e-20 relative error = 2.9388792806047372120449231528330e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.028 y[1] (analytic) = 1.5532950647385874042831514732378 y[1] (numeric) = 1.5532950647385874042374528307899 absolute error = 4.56986424479e-20 relative error = 2.9420451712817922748895062906358e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.027 y[1] (analytic) = 1.5531502716115725966536188371244 y[1] (numeric) = 1.553150271611572596607875261572 absolute error = 4.57435755524e-20 relative error = 2.9452124748325712773674128056480e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.4MB, time=69.65 NO POLE x[1] = -0.026 y[1] (analytic) = 1.5530049020311703713825682221799 y[1] (numeric) = 1.5530049020311703713367797176948 absolute error = 4.57885044851e-20 relative error = 2.9483811947543343061399603964893e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.025 y[1] (analytic) = 1.5528589562422740176304845944599 y[1] (numeric) = 1.5528589562422740175846511652136 absolute error = 4.58334292463e-20 relative error = 2.9515513345275871918540057076082e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.024 y[1] (analytic) = 1.5527124344897230963421431716547 y[1] (numeric) = 1.5527124344897230962962648218185 absolute error = 4.58783498362e-20 relative error = 2.9547228976289655665500477726684e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.023 y[1] (analytic) = 1.5525653370183034483108199319858 y[1] (numeric) = 1.5525653370183034482648966657306 absolute error = 4.59232662552e-20 relative error = 2.9578958875505670944355440992477e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.022 y[1] (analytic) = 1.552417664072747202241578025583 y[1] (numeric) = 1.5524176640727472021956098470795 absolute error = 4.59681785035e-20 relative error = 2.9610703077742037464144818640159e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=671.4MB, alloc=4.4MB, time=70.06 NO POLE x[1] = -0.021 y[1] (analytic) = 1.552269415897732782813630174147 y[1] (numeric) = 1.5522694158977327827676170875653 absolute error = 4.60130865817e-20 relative error = 2.9642461618100612026898896800533e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.02 y[1] (analytic) = 1.5521205927378849187417771446912 y[1] (numeric) = 1.5521205927378849186957191542014 absolute error = 4.60579904898e-20 relative error = 2.9674234531322956550356960158660e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.019 y[1] (analytic) = 1.551971194837774650836922383156 y[1] (numeric) = 1.5519711948377746507908194929276 absolute error = 4.61028902284e-20 relative error = 2.9706021852563487666585284516831e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.018 y[1] (analytic) = 1.551821222441919340065662893675 y[1] (numeric) = 1.5518212224419193400195151078774 absolute error = 4.61477857976e-20 relative error = 2.9737823616680943039924010725348e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.017 y[1] (analytic) = 1.5516706757947826756089564492725 y[1] (numeric) = 1.5516706757947826755627637720746 absolute error = 4.61926771979e-20 relative error = 2.9769639858818370709424729447745e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.016 y[1] (analytic) = 1.5515195551407746829198652197596 y[1] (numeric) = 1.5515195551407746828736276553301 absolute error = 4.62375644295e-20 relative error = 2.9801470613952208564831912002956e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.4MB, time=70.47 NO POLE x[1] = -0.015 y[1] (analytic) = 1.5513678607242517317803759025941 y[1] (numeric) = 1.5513678607242517317340934551013 absolute error = 4.62824474928e-20 relative error = 2.9833315917214611679660724669287e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.014 y[1] (analytic) = 1.5512155927895165443572964424579 y[1] (numeric) = 1.5512155927895165443109691160699 absolute error = 4.63273263880e-20 relative error = 2.9865175803635778309589307303871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.013 y[1] (analytic) = 1.5510627515808182032572294253043 y[1] (numeric) = 1.5510627515808182032108572241886 absolute error = 4.63722011157e-20 relative error = 2.9897050308530843544903180266636e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.012 y[1] (analytic) = 1.5509093373423521595806222326148 y[1] (numeric) = 1.5509093373423521595342051609388 absolute error = 4.64170716760e-20 relative error = 2.9928939466919827396423934455848e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.011 y[1] (analytic) = 1.5507553503182602409748940416055 y[1] (numeric) = 1.5507553503182602409284321035361 absolute error = 4.64619380694e-20 relative error = 2.9960843314107963443131733538935e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=679.0MB, alloc=4.4MB, time=70.87 x[1] = -0.01 y[1] (analytic) = 1.5506007907526306596866397571081 y[1] (numeric) = 1.5506007907526306596401329568122 absolute error = 4.65068002959e-20 relative error = 2.9992761885105532441131232816214e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.009 y[1] (analytic) = 1.550445658889498020612910960853 y[1] (numeric) = 1.5504456588894980205663593024968 absolute error = 4.65516583562e-20 relative error = 3.0024695215401798388211657035358e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.008 y[1] (analytic) = 1.5502899549728433293515739638654 y[1] (numeric) = 1.550289954972843329304977451615 absolute error = 4.65965122504e-20 relative error = 3.0056643340126807674494047518175e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.007 y[1] (analytic) = 1.5501336792465940002507450476892 y[1] (numeric) = 1.5501336792465940002041036857103 absolute error = 4.66413619789e-20 relative error = 3.0088606294631916201232970073431e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.006 y[1] (analytic) = 1.5499768319546238644573029801366 y[1] (numeric) = 1.5499768319546238644106167725946 absolute error = 4.66862075420e-20 relative error = 3.0120584114231944666507502595909e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.005 y[1] (analytic) = 1.5498194133407531779644788912626 y[1] (numeric) = 1.5498194133407531779177478423226 absolute error = 4.67310489400e-20 relative error = 3.0152576834269796064236317991032e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.4MB, time=71.27 NO POLE x[1] = -0.004 y[1] (analytic) = 1.5496614236487486296585235952523 y[1] (numeric) = 1.5496614236487486296117477090789 absolute error = 4.67758861734e-20 relative error = 3.0184584490245642628442209322430e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.003 y[1] (analytic) = 1.549502863122323349364452443903 y[1] (numeric) = 1.5495028631223233493176317246608 absolute error = 4.68207192422e-20 relative error = 3.0216607117365360693092257108690e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.002 y[1] (analytic) = 1.5493437320051369158908677973798 y[1] (numeric) = 1.5493437320051369158440022492327 absolute error = 4.68655481471e-20 relative error = 3.0248644751315013714529136593813e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = -0.001 y[1] (analytic) = 1.549184030540795365073859197909 y[1] (numeric) = 1.5491840305407953650269488250209 absolute error = 4.69103728881e-20 relative error = 3.0280697427357509733741011075321e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0 y[1] (analytic) = 1.5490237589728511978199813320776 y[1] (numeric) = 1.549023758972851197773026138612 absolute error = 4.69551934656e-20 relative error = 3.0312765181042620318794919052970e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.001 y[1] (analytic) = 1.5488629175448033881483098673901 y[1] (numeric) = 1.54886291754480338810130985751 absolute error = 4.70000098801e-20 relative error = 3.0344848048013550556583304522934e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.4MB, time=71.67 NO POLE x[1] = 0.002 y[1] (analytic) = 1.5487015065000973912315752487336 y[1] (numeric) = 1.5487015065000973911845304266017 absolute error = 4.70448221319e-20 relative error = 3.0376946063813389563466115418079e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.003 y[1] (analytic) = 1.5485395260821251514363745403939 y[1] (numeric) = 1.5485395260821251513892849101728 absolute error = 4.70896302211e-20 relative error = 3.0409059263885170860608528139257e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.004 y[1] (analytic) = 1.548376976534225110362461399258 y[1] (numeric) = 1.5483769765342251103153269651098 absolute error = 4.71344341482e-20 relative error = 3.0441187683959434662875257258207e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.005 y[1] (analytic) = 1.5482138580996822148811142648314 y[1] (numeric) = 1.5482138580996822148339350309178 absolute error = 4.71792339136e-20 relative error = 3.0473331359731538351374092178883e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.006 y[1] (analytic) = 1.5480501710217279251725828516932 y[1] (numeric) = 1.5480501710217279251253588221757 absolute error = 4.72240295175e-20 relative error = 3.0505490326797153261531083446275e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.4MB, time=72.08 NO POLE x[1] = 0.007 y[1] (analytic) = 1.5478859155435402227626130300049 y[1] (numeric) = 1.5478859155435402227153442090448 absolute error = 4.72688209601e-20 relative error = 3.0537664620781532836268775585406e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.008 y[1] (analytic) = 1.5477210919082436185580501796816 y[1] (numeric) = 1.5477210919082436185107365714396 absolute error = 4.73136082420e-20 relative error = 3.0569854277598084971836845171514e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.009 y[1] (analytic) = 1.5475557003589091608815211038268 y[1] (numeric) = 1.5475557003589091608341627124635 absolute error = 4.73583913633e-20 relative error = 3.0602059332867075843276048994522e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01 y[1] (analytic) = 1.5473897411385544435051945870289 y[1] (numeric) = 1.5473897411385544434577914167045 absolute error = 4.74031703244e-20 relative error = 3.0634279822432585461364023527237e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.011 y[1] (analytic) = 1.5472232144901436136836206841056 y[1] (numeric) = 1.5472232144901436136361727389799 absolute error = 4.74479451257e-20 relative error = 3.0666515782168844278626482132848e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.012 y[1] (analytic) = 1.54705612065658738018564882488 y[1] (numeric) = 1.5470561206565873801381561091125 absolute error = 4.74927157675e-20 relative error = 3.0698767247915723210973118913916e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=694.3MB, alloc=4.4MB, time=72.51 NO POLE x[1] = 0.013 y[1] (analytic) = 1.5468884598807430213254248205637 y[1] (numeric) = 1.5468884598807430212778873383137 absolute error = 4.75374822500e-20 relative error = 3.0731034255478827669871735857441e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.014 y[1] (analytic) = 1.5467202324054143929924668573157 y[1] (numeric) = 1.546720232405414392944884612742 absolute error = 4.75822445737e-20 relative error = 3.0763316840888203094582896757992e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.015 y[1] (analytic) = 1.5465514384733519366808205625385 y[1] (numeric) = 1.5465514384733519366331935597997 absolute error = 4.76270027388e-20 relative error = 3.0795615040010609708239120643335e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.016 y[1] (analytic) = 1.5463820783272526875172932294684 y[1] (numeric) = 1.5463820783272526874696214727226 absolute error = 4.76717567458e-20 relative error = 3.0827928888937548473387819355024e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.017 y[1] (analytic) = 1.5462121522097602822887672856066 y[1] (numeric) = 1.5462121522097602822410507790119 absolute error = 4.77165065947e-20 relative error = 3.0860258423468103413010184486002e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.4MB, time=72.92 NO POLE x[1] = 0.018 y[1] (analytic) = 1.5460416603634649674685930905363 y[1] (numeric) = 1.5460416603634649674208318382502 absolute error = 4.77612522861e-20 relative error = 3.0892603679820387769171720482947e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.019 y[1] (analytic) = 1.5458706030309036072420611486577 y[1] (numeric) = 1.5458706030309036071942551548375 absolute error = 4.78059938202e-20 relative error = 3.0924964693985002984834222717823e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02 y[1] (analytic) = 1.5456989804545596915309538223722 y[1] (numeric) = 1.5456989804545596914831030911748 absolute error = 4.78507311974e-20 relative error = 3.0957341502113199554664278398102e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.021 y[1] (analytic) = 1.5455267928768633440171766312369 y[1] (numeric) = 1.5455267928768633439692811668189 absolute error = 4.78954644180e-20 relative error = 3.0989734140322970274017181715770e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.022 y[1] (analytic) = 1.5453540405401913301654692226045 y[1] (numeric) = 1.5453540405401913301175290291222 absolute error = 4.79401934823e-20 relative error = 3.1022142644763854566389256690267e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.023 y[1] (analytic) = 1.5451807236868670652451960992579 y[1] (numeric) = 1.5451807236868670651972111808672 absolute error = 4.79849183907e-20 relative error = 3.1054567051681786135479228042344e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.4MB, time=73.34 NO POLE x[1] = 0.024 y[1] (analytic) = 1.545006842559160622351217189541 y[1] (numeric) = 1.5450068425591606223031875503976 absolute error = 4.80296391434e-20 relative error = 3.1087007397225085943490422743734e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.025 y[1] (analytic) = 1.5448323973992887404238383454816 y[1] (numeric) = 1.5448323973992887403757639897407 absolute error = 4.80743557409e-20 relative error = 3.1119463717768179695591279021345e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.026 y[1] (analytic) = 1.5446573884494148322678418543936 y[1] (numeric) = 1.5446573884494148322197227862103 absolute error = 4.81190681833e-20 relative error = 3.1151936049458663441497098357877e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.027 y[1] (analytic) = 1.5444818159516489925705970494431 y[1] (numeric) = 1.5444818159516489925224332729721 absolute error = 4.81637764710e-20 relative error = 3.1184424428670514264722364913228e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.028 y[1] (analytic) = 1.5443056801480480059192511046505 y[1] (numeric) = 1.5443056801480480058710426240461 absolute error = 4.82084806044e-20 relative error = 3.1216928891810069575502993677290e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.029 y[1] (analytic) = 1.5441289812806153548170000997997 y[1] (numeric) = 1.5441289812806153547687469192159 absolute error = 4.82531805838e-20 relative error = 3.1249449475251397180833309935227e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.4MB, time=73.74 NO POLE x[1] = 0.03 y[1] (analytic) = 1.5439517195913012276984404407148 y[1] (numeric) = 1.5439517195913012276501425643052 absolute error = 4.82978764096e-20 relative error = 3.1281986215465927497665039650876e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.031 y[1] (analytic) = 1.54377389532200252694400072036 y[1] (numeric) = 1.5437738953220025268956581522781 absolute error = 4.83425680819e-20 relative error = 3.1314539148763517123737417645178e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.032 y[1] (analytic) = 1.5435955087145628768934541062124 y[1] (numeric) = 1.5435955087145628768450668506112 absolute error = 4.83872556012e-20 relative error = 3.1347108311745955212036094512466e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.033 y[1] (analytic) = 1.5434165600107726318585113393468 y[1] (numeric) = 1.543416560010772631810079400379 absolute error = 4.84319389678e-20 relative error = 3.1379693740918497149918005627283e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.034 y[1] (analytic) = 1.5432370494523688841344944306706 y[1] (numeric) = 1.5432370494523688840860178124885 absolute error = 4.84766181821e-20 relative error = 3.1412295472884318337038764196420e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.4MB, time=74.14 NO POLE x[1] = 0.035 y[1] (analytic) = 1.5430569772810354720110911397355 y[1] (numeric) = 1.5430569772810354719625698464912 absolute error = 4.85212932443e-20 relative error = 3.1444913544150264957955455664634e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.036 y[1] (analytic) = 1.5428763437384029877821903215487 y[1] (numeric) = 1.542876343738402987733624357394 absolute error = 4.85659641547e-20 relative error = 3.1477547991321352780085389931608e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.037 y[1] (analytic) = 1.5426951490660487857547982267983 y[1] (numeric) = 1.5426951490660487857061875958846 absolute error = 4.86106309137e-20 relative error = 3.1510198851100937523588819520773e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.038 y[1] (analytic) = 1.5425133935054969902570358409017 y[1] (numeric) = 1.5425133935054969902083805473801 absolute error = 4.86552935216e-20 relative error = 3.1542866160161227262652360371497e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.039 y[1] (analytic) = 1.5423310772982185036452173472784 y[1] (numeric) = 1.5423310772982185035965173952995 absolute error = 4.86999519789e-20 relative error = 3.1575549955337888027619847792370e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04 y[1] (analytic) = 1.5421482006856310143100098002425 y[1] (numeric) = 1.5421482006856310142612651939569 absolute error = 4.87446062856e-20 relative error = 3.1608250273176341485622108584117e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.4MB, time=74.55 NO POLE x[1] = 0.041 y[1] (analytic) = 1.5419647639090990046816740929043 y[1] (numeric) = 1.5419647639090990046328848364621 absolute error = 4.87892564422e-20 relative error = 3.1640967150580229086753760101426e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.042 y[1] (analytic) = 1.5417807672099337592343873054609 y[1] (numeric) = 1.5417807672099337591855534030118 absolute error = 4.88339024491e-20 relative error = 3.1673700624422577817154990941096e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.043 y[1] (analytic) = 1.541596210829393372489646519252 y[1] (numeric) = 1.5415962108293933724407679749456 absolute error = 4.88785443064e-20 relative error = 3.1706450731416159811520249936369e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.044 y[1] (analytic) = 1.5414110950086827570187541819502 y[1] (numeric) = 1.5414110950086827569698309999356 absolute error = 4.89231820146e-20 relative error = 3.1739217508567638853285741214715e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.045 y[1] (analytic) = 1.5412254199889536514443851092454 y[1] (numeric) = 1.5412254199889536513954172936714 absolute error = 4.89678155740e-20 relative error = 3.1772000992788559506938112128592e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.4MB, time=74.96 NO POLE x[1] = 0.046 y[1] (analytic) = 1.5410391860113046284412352083806 y[1] (numeric) = 1.5410391860113046283922227633956 absolute error = 4.90124449850e-20 relative error = 3.1804801221090077160145772457289e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.047 y[1] (analytic) = 1.5408523933167811027357520088856 y[1] (numeric) = 1.5408523933167811026866949386378 absolute error = 4.90570702478e-20 relative error = 3.1837618230388434220705831326420e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.048 y[1] (analytic) = 1.5406650421463753391049470858521 y[1] (numeric) = 1.5406650421463753390558453944894 absolute error = 4.91016913627e-20 relative error = 3.1870452057699737028644959910745e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.049 y[1] (analytic) = 1.5404771327410264603742904610838 y[1] (numeric) = 1.5404771327410264603251441527538 absolute error = 4.91463083300e-20 relative error = 3.1903302740075214888858643235277e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05 y[1] (analytic) = 1.540288665341620455414687067451 y[1] (numeric) = 1.5402886653416204553654961463009 absolute error = 4.91909211501e-20 relative error = 3.1936170314666277799884151060374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.051 y[1] (analytic) = 1.5400996401889901871385353617706 y[1] (numeric) = 1.5400996401889901870892998319471 absolute error = 4.92355298235e-20 relative error = 3.1969054818724691310990193409072e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=721.0MB, alloc=4.4MB, time=75.37 NO POLE x[1] = 0.052 y[1] (analytic) = 1.5399100575239154004948681715265 y[1] (numeric) = 1.5399100575239154004455880371763 absolute error = 4.92801343502e-20 relative error = 3.2001956289213118798481646376657e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.053 y[1] (analytic) = 1.5397199175871227304635758607406 y[1] (numeric) = 1.5397199175871227304142511260099 absolute error = 4.93247347307e-20 relative error = 3.2034874763454525644628574373689e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.054 y[1] (analytic) = 1.5395292206192857100487119002932 y[1] (numeric) = 1.5395292206192857099993425693278 absolute error = 4.93693309654e-20 relative error = 3.2067810278742785630156075970245e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.055 y[1] (analytic) = 1.53933796686102477827088092799 y[1] (numeric) = 1.5393379668610247782214670049355 absolute error = 4.94139230545e-20 relative error = 3.2100762872277813854407894553062e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.056 y[1] (analytic) = 1.5391461565529072881587093836634 y[1] (numeric) = 1.5391461565529072881092508726652 absolute error = 4.94585109982e-20 relative error = 3.2133732581295564149177984372698e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=724.8MB, alloc=4.4MB, time=75.78 x[1] = 0.057 y[1] (analytic) = 1.5389537899354475147393988045904 y[1] (numeric) = 1.5389537899354475146898957097932 absolute error = 4.95030947972e-20 relative error = 3.2166719443393060998115820266792e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.058 y[1] (analytic) = 1.5387608672491066630283618664998 y[1] (numeric) = 1.5387608672491066629788141920484 absolute error = 4.95476744514e-20 relative error = 3.2199723495683903644239377190540e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.059 y[1] (analytic) = 1.5385673887342928760179412554416 y[1] (numeric) = 1.5385673887342928759683490054802 absolute error = 4.95922499614e-20 relative error = 3.2232744775773009649055011501397e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06 y[1] (analytic) = 1.5383733546313612426652114557752 y[1] (numeric) = 1.5383733546313612426155746344478 absolute error = 4.96368213274e-20 relative error = 3.2265783321041996510595094234968e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.061 y[1] (analytic) = 1.538178765180613805878863539535 y[1] (numeric) = 1.5381787651806138058291821509851 absolute error = 4.96813885499e-20 relative error = 3.2298839169104238500002158674877e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.062 y[1] (analytic) = 1.5379836206222995705051730424202 y[1] (numeric) = 1.5379836206222995704554470907912 absolute error = 4.97259516290e-20 relative error = 3.2331912357349985838217319206914e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.4MB, time=76.19 NO POLE x[1] = 0.063 y[1] (analytic) = 1.5377879211966145113130510116515 y[1] (numeric) = 1.5377879211966145112632805010864 absolute error = 4.97705105651e-20 relative error = 3.2365002923401536307534788846199e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.064 y[1] (analytic) = 1.5375916671437015809781783109287 y[1] (numeric) = 1.53759166714370158092836324557 absolute error = 4.98150653587e-20 relative error = 3.2398110904983423171899593036798e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.065 y[1] (analytic) = 1.5373948587036507180662232677174 y[1] (numeric) = 1.5373948587036507180163636517077 absolute error = 4.98596160097e-20 relative error = 3.2431236339467279044300312676379e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.066 y[1] (analytic) = 1.5371974961164988550151427480894 y[1] (numeric) = 1.5371974961164988549652385855706 absolute error = 4.99041625188e-20 relative error = 3.2464379264782472028483905536837e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.067 y[1] (analytic) = 1.5369995796222299261165667443269 y[1] (numeric) = 1.5369995796222299260666180394407 absolute error = 4.99487048862e-20 relative error = 3.2497539718570774092543530883430e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.068 y[1] (analytic) = 1.5368011094607748754962665605037 y[1] (numeric) = 1.5368011094607748754462733173913 absolute error = 4.99932431124e-20 relative error = 3.2530717738706852133162509413438e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.4MB, time=76.60 NO POLE x[1] = 0.069 y[1] (analytic) = 1.5366020858720116650937066812417 y[1] (numeric) = 1.5366020858720116650436689040444 absolute error = 5.00377771973e-20 relative error = 3.2563913362712824697627287528447e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07 y[1] (analytic) = 1.5364025090957652826406804088408 y[1] (numeric) = 1.5364025090957652825905981016992 absolute error = 5.00823071416e-20 relative error = 3.2597126628669367107321892793599e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.071 y[1] (analytic) = 1.536202379371807749639029353967 y[1] (numeric) = 1.5362023793718077495889025210214 absolute error = 5.01268329456e-20 relative error = 3.2630357574435041400448482829536e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.072 y[1] (analytic) = 1.5360016969398581293374468650835 y[1] (numeric) = 1.5360016969398581292872755104742 absolute error = 5.01713546093e-20 relative error = 3.2663606237711370433284749846598e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.073 y[1] (analytic) = 1.5358004620395825347073654817995 y[1] (numeric) = 1.535800462039582534657149609666 absolute error = 5.02158721335e-20 relative error = 3.2696872656759088084739437971267e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.4MB, time=77.01 NO POLE x[1] = 0.074 y[1] (analytic) = 1.5355986749105941364179284973024 y[1] (numeric) = 1.5355986749105941363676681117842 absolute error = 5.02603855182e-20 relative error = 3.2730156869356681321753226923605e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.075 y[1] (analytic) = 1.5353963357924531708100457150392 y[1] (numeric) = 1.5353963357924531707597408202754 absolute error = 5.03048947638e-20 relative error = 3.2763458913581745065991375162110e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.076 y[1] (analytic) = 1.5351934449246669478695334847991 y[1] (numeric) = 1.5351934449246669478191840849285 absolute error = 5.03493998706e-20 relative error = 3.2796778827485601626655169375107e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.077 y[1] (analytic) = 1.5349900025466898591993391033474 y[1] (numeric) = 1.5349900025466898591489452025084 absolute error = 5.03939008390e-20 relative error = 3.2830116649223691915315824572849e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.078 y[1] (analytic) = 1.5347860088979233859908496647512 y[1] (numeric) = 1.534786008897923385940411267082 absolute error = 5.04383976692e-20 relative error = 3.2863472416860292077953263982629e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.079 y[1] (analytic) = 1.5345814642177161069942854455338 y[1] (numeric) = 1.5345814642177161069438025551722 absolute error = 5.04828903616e-20 relative error = 3.2896846168629224834541706976980e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.4MB, time=77.41 NO POLE x[1] = 0.08 y[1] (analytic) = 1.5343763687453637064881779097844 y[1] (numeric) = 1.5343763687453637064376505308678 absolute error = 5.05273789166e-20 relative error = 3.2930237942803740960258436983159e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.081 y[1] (analytic) = 1.5341707227201089822479324193462 y[1] (numeric) = 1.5341707227201089821973605560118 absolute error = 5.05718633344e-20 relative error = 3.2963647777566296919409869004061e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.082 y[1] (analytic) = 1.5339645263811418535134757341974 y[1] (numeric) = 1.5339645263811418534628593905821 absolute error = 5.06163436153e-20 relative error = 3.2997075711204180352021483554247e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.083 y[1] (analytic) = 1.5337577799675993689559883881344 y[1] (numeric) = 1.5337577799675993689053275683746 absolute error = 5.06608197598e-20 relative error = 3.3030521782174894493089670024904e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.084 y[1] (analytic) = 1.5335504837185657146437220248573 y[1] (numeric) = 1.5335504837185657145930167330892 absolute error = 5.07052917681e-20 relative error = 3.3063986028780347135308104021020e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.4MB, time=77.81 NO POLE x[1] = 0.085 y[1] (analytic) = 1.5333426378730722220069017795555 y[1] (numeric) = 1.533342637873072221956152019915 absolute error = 5.07497596405e-20 relative error = 3.3097468489427728372188947518533e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.086 y[1] (analytic) = 1.5331342426700973758017137910798 y[1] (numeric) = 1.5331342426700973757509195677023 absolute error = 5.07942233775e-20 relative error = 3.3130969202694922575153555623814e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.087 y[1] (analytic) = 1.5329252983485668220733779297829 y[1] (numeric) = 1.5329252983485668220225392468038 absolute error = 5.08386829791e-20 relative error = 3.3164488206874096313622111158419e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.088 y[1] (analytic) = 1.5327158051473533761183058261063 y[1] (numeric) = 1.5327158051473533760674226876604 absolute error = 5.08831384459e-20 relative error = 3.3198025540689298794121645153208e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.089 y[1] (analytic) = 1.5325057633052770304453442849777 y[1] (numeric) = 1.5325057633052770303944166951996 absolute error = 5.09275897781e-20 relative error = 3.3231581242644345971860681301878e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09 y[1] (analytic) = 1.5322951730611049627361041710849 y[1] (numeric) = 1.5322951730611049626851321341088 absolute error = 5.09720369761e-20 relative error = 3.3265155351414354368550314309508e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=747.7MB, alloc=4.4MB, time=78.22 NO POLE x[1] = 0.091 y[1] (analytic) = 1.532084034653551543804374850079 y[1] (numeric) = 1.5320840346535515437533583700389 absolute error = 5.10164800401e-20 relative error = 3.3298747905584891631050245904897e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.092 y[1] (analytic) = 1.531872348321278345554624270757 y[1] (numeric) = 1.5318723483212783455035633517864 absolute error = 5.10609189706e-20 relative error = 3.3332358943978427936898647957589e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.093 y[1] (analytic) = 1.5316601143028941489395847732642 y[1] (numeric) = 1.5316601143028941488884794194965 absolute error = 5.11053537677e-20 relative error = 3.3365988505197594580823697204013e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.094 y[1] (analytic) = 1.5314473328369549519169247083536 y[1] (numeric) = 1.5314473328369549518657749239217 absolute error = 5.11497844319e-20 relative error = 3.3399636628147528570604495284098e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.095 y[1] (analytic) = 1.5312340041619639774050059527291 y[1] (numeric) = 1.5312340041619639773538117417657 absolute error = 5.11942109634e-20 relative error = 3.3433303351579050494616720172589e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.096 y[1] (analytic) = 1.5310201285163716812377274054962 y[1] (numeric) = 1.5310201285163716811864887721335 absolute error = 5.12386333627e-20 relative error = 3.3466988714480568064445211284553e-18 % memory used=751.5MB, alloc=4.4MB, time=78.63 Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.097 y[1] (analytic) = 1.530805706138575760118454550734 y[1] (numeric) = 1.5308057061385757600671714991039 absolute error = 5.12830516301e-20 relative error = 3.3500692755751732242940110796437e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.098 y[1] (analytic) = 1.5305907372669211595730351711983 y[1] (numeric) = 1.5305907372669211595217077054327 absolute error = 5.13274657656e-20 relative error = 3.3534415514138156531494978489022e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.099 y[1] (analytic) = 1.5303752221397000819019012981583 y[1] (numeric) = 1.5303752221397000818505294223884 absolute error = 5.13718757699e-20 relative error = 3.3568157028884858483267381029958e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1 y[1] (analytic) = 1.5301591609951519941312574823598 y[1] (numeric) = 1.5301591609951519940798412007167 absolute error = 5.14162816431e-20 relative error = 3.3601917338887142271901168473737e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.101 y[1] (analytic) = 1.5299425540714636359633554711075 y[1] (numeric) = 1.5299425540714636359118947877217 absolute error = 5.14606833858e-20 relative error = 3.3635696483409448869500306322374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.4MB, time=79.03 NO POLE x[1] = 0.102 y[1] (analytic) = 1.5297254016067690277258553764445 y[1] (numeric) = 1.5297254016067690276743502954465 absolute error = 5.15050809980e-20 relative error = 3.3669494501366649894169289581849e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.103 y[1] (analytic) = 1.5295077038391494783202734194084 y[1] (numeric) = 1.5295077038391494782687239449281 absolute error = 5.15494744803e-20 relative error = 3.3703311432108481374598517218050e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.104 y[1] (analytic) = 1.5292894610066335931695163353286 y[1] (numeric) = 1.5292894610066335931179224714959 absolute error = 5.15938638327e-20 relative error = 3.3737147314635290937910065777445e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.105 y[1] (analytic) = 1.5290706733471972821645025251319 y[1] (numeric) = 1.5290706733471972821128642760761 absolute error = 5.16382490558e-20 relative error = 3.3771002188382694737761189979340e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.106 y[1] (analytic) = 1.5288513410987637676098700376067 y[1] (numeric) = 1.5288513410987637675581874074569 absolute error = 5.16826301498e-20 relative error = 3.3804876092567918984814607010143e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.107 y[1] (analytic) = 1.528631464499203592168771467579 y[1] (numeric) = 1.528631464499203592117044460464 absolute error = 5.17270071150e-20 relative error = 3.3838769066516849431685702315726e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.4MB, time=79.45 NO POLE x[1] = 0.108 y[1] (analytic) = 1.5284110437863346268067558549401 y[1] (numeric) = 1.5284110437863346267549844749883 absolute error = 5.17713799518e-20 relative error = 3.3872681149664225443073135019629e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.109 y[1] (analytic) = 1.5281900791979220787347376694621 y[1] (numeric) = 1.5281900791979220786829219208016 absolute error = 5.18157486605e-20 relative error = 3.3906612381422960929074172857213e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.11 y[1] (analytic) = 1.5279685709716784993510529663306 y[1] (numeric) = 1.5279685709716784992991928530891 absolute error = 5.18601132415e-20 relative error = 3.3940562801315137568626779182380e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.111 y[1] (analytic) = 1.5277465193452637921826027973162 y[1] (numeric) = 1.5277465193452637921306983236213 absolute error = 5.19044736949e-20 relative error = 3.3974532448710376730452471845986e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.112 y[1] (analytic) = 1.5275239245562852208250839625016 y[1] (numeric) = 1.5275239245562852207731351324803 absolute error = 5.19488300213e-20 relative error = 3.4008521363349568188795516343021e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.4MB, time=79.85 NO POLE x[1] = 0.113 y[1] (analytic) = 1.5273007868422974168823071874715 y[1] (numeric) = 1.5273007868422974168303140052506 absolute error = 5.19931822209e-20 relative error = 3.4042529584755982222496227178075e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.114 y[1] (analytic) = 1.5270771064408023879046028108695 y[1] (numeric) = 1.5270771064408023878525652805756 absolute error = 5.20375302939e-20 relative error = 3.4076557152497165546276991354203e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.115 y[1] (analytic) = 1.5268528835892495253263140672171 y[1] (numeric) = 1.5268528835892495252742321929764 absolute error = 5.20818742407e-20 relative error = 3.4110604106316078339395211645603e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.116 y[1] (analytic) = 1.5266281185250356124023780498835 y[1] (numeric) = 1.5266281185250356123502518358217 absolute error = 5.21262140618e-20 relative error = 3.4144670486065835727696861759440e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.117 y[1] (analytic) = 1.5264028114855048321439944390888 y[1] (numeric) = 1.5264028114855048320918238893314 absolute error = 5.21705497574e-20 relative error = 3.4178756331447851771815115952420e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.118 y[1] (analytic) = 1.5261769627079487752533820798168 y[1] (numeric) = 1.5261769627079487752011671984892 absolute error = 5.22148813276e-20 relative error = 3.4212861682142890631717958767622e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.4MB, time=80.26 NO POLE x[1] = 0.119 y[1] (analytic) = 1.5259505724296064480576234945074 y[1] (numeric) = 1.5259505724296064480053642857342 absolute error = 5.22592087732e-20 relative error = 3.4246986578335430998091470746124e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.12 y[1] (analytic) = 1.5257236408876642804415974153874 y[1] (numeric) = 1.5257236408876642803892938832935 absolute error = 5.23035320939e-20 relative error = 3.4281131059534388852567238658961e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.121 y[1] (analytic) = 1.525496168319256133779999421302 y[1] (numeric) = 1.5254961683192561337276515700114 absolute error = 5.23478512906e-20 relative error = 3.4315295166080437860370722524425e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.122 y[1] (analytic) = 1.5252681549614633088684507638892 y[1] (numeric) = 1.5252681549614633088160585975258 absolute error = 5.23921663634e-20 relative error = 3.4349478937835501627159469968815e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.123 y[1] (analytic) = 1.5250396010513145538536954679452 y[1] (numeric) = 1.5250396010513145538012589906326 absolute error = 5.24364773126e-20 relative error = 3.4383682414838233880744596882298e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=770.5MB, alloc=4.4MB, time=80.67 x[1] = 0.124 y[1] (analytic) = 1.5248105068257860721628857908138 y[1] (numeric) = 1.5248105068257860721104050066754 absolute error = 5.24807841384e-20 relative error = 3.4417905637107521930898956073414e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.125 y[1] (analytic) = 1.5245808725218015304319561256308 y[1] (numeric) = 1.5245808725218015303794310387894 absolute error = 5.25250868414e-20 relative error = 3.4452148644970547754835746573797e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.126 y[1] (analytic) = 1.5243506983762320664330854332441 y[1] (numeric) = 1.5243506983762320663805160478224 absolute error = 5.25693854217e-20 relative error = 3.4486411478472722256458422092460e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.127 y[1] (analytic) = 1.5241199846258962970012482876284 y[1] (numeric) = 1.5241199846258962969486346077486 absolute error = 5.26136798798e-20 relative error = 3.4520694177968094501474116825119e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.128 y[1] (analytic) = 1.5238887315075603259598546196007 y[1] (numeric) = 1.5238887315075603259071966493849 absolute error = 5.26579702158e-20 relative error = 3.4554996783594729902216811477637e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.129 y[1] (analytic) = 1.5236569392579377520454782436427 y[1] (numeric) = 1.5236569392579377519927759872126 absolute error = 5.27022564301e-20 relative error = 3.4589319335734084643418248788032e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.4MB, time=81.09 NO POLE x[1] = 0.13 y[1] (analytic) = 1.5234246081136896768316742526236 y[1] (numeric) = 1.5234246081136896767789277141004 absolute error = 5.27465385232e-20 relative error = 3.4623661874880024959341952096534e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.131 y[1] (analytic) = 1.5231917383114247126518853652142 y[1] (numeric) = 1.5231917383114247125990945487188 absolute error = 5.27908164954e-20 relative error = 3.4658024441442075821738656090269e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.132 y[1] (analytic) = 1.5229583300876989905214373107742 y[1] (numeric) = 1.5229583300876989904686022204275 absolute error = 5.28350903467e-20 relative error = 3.4692407075679812540047705328236e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.133 y[1] (analytic) = 1.5227243836790161680586233364918 y[1] (numeric) = 1.522724383679016168005743976414 absolute error = 5.28793600778e-20 relative error = 3.4726809818359580749050696705383e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.134 y[1] (analytic) = 1.52248989932182743740487792154 y[1] (numeric) = 1.5224898993218274373519542958512 absolute error = 5.29236256888e-20 relative error = 3.4761232709901139091851469966919e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.135 y[1] (analytic) = 1.5222548772525315331440397830183 y[1] (numeric) = 1.5222548772525315330910718958382 absolute error = 5.29678871801e-20 relative error = 3.4795675790968738440588826134939e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.4MB, time=81.49 NO POLE x[1] = 0.136 y[1] (analytic) = 1.522019317707474740220704258432 y[1] (numeric) = 1.52201931770747474016769211388 absolute error = 5.30121445520e-20 relative error = 3.4830139102208619594552730243008e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.137 y[1] (analytic) = 1.5217832209229509018576651494611 y[1] (numeric) = 1.5217832209229509018046087516562 absolute error = 5.30563978049e-20 relative error = 3.4864622684380542092272359412377e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.138 y[1] (analytic) = 1.5215465871352014274724461117608 y[1] (numeric) = 1.5215465871352014274193454648219 absolute error = 5.31006469389e-20 relative error = 3.4899126578095099936036305466913e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.139 y[1] (analytic) = 1.521309416580415300592921675531 y[1] (numeric) = 1.5213094165804153005397767835765 absolute error = 5.31448919545e-20 relative error = 3.4933650824273853410515488002104e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.14 y[1] (analytic) = 1.5210717094947290867720279815834 y[1] (numeric) = 1.5210717094947290867188388487313 absolute error = 5.31891328521e-20 relative error = 3.4968195463820973999929991533251e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.4MB, time=81.90 NO POLE x[1] = 0.141 y[1] (analytic) = 1.5208334661142269415015633176306 y[1] (numeric) = 1.5208334661142269414483299479987 absolute error = 5.32333696319e-20 relative error = 3.5002760537557595881890712884701e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.142 y[1] (analytic) = 1.5205946866749406181250785395131 y[1] (numeric) = 1.520594686674940618071800937219 absolute error = 5.32776022941e-20 relative error = 3.5037346086353396591453257953362e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.143 y[1] (analytic) = 1.5203553714128494757498574620747 y[1] (numeric) = 1.5203553714128494756965356312355 absolute error = 5.33218308392e-20 relative error = 3.5071952151324075495242730225295e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.144 y[1] (analytic) = 1.5201155205638804871579873043887 y[1] (numeric) = 1.5201155205638804871046212491211 absolute error = 5.33660552676e-20 relative error = 3.5106578773568528041020146898843e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.145 y[1] (analytic) = 1.5198751343639082467165192740324 y[1] (numeric) = 1.519875134363908246663108998453 absolute error = 5.34102755794e-20 relative error = 3.5141225994037361533043471430454e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.146 y[1] (analytic) = 1.5196342130487549782867193751004 y[1] (numeric) = 1.5196342130487549782332648833253 absolute error = 5.34544917751e-20 relative error = 3.5175893853993533415486875302254e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.4MB, time=82.30 NO POLE x[1] = 0.147 y[1] (analytic) = 1.519392756854190543132409524638 y[1] (numeric) = 1.5193927568541905430789108207831 absolute error = 5.34987038549e-20 relative error = 3.5210582394552007131189168516596e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.148 y[1] (analytic) = 1.5191507660159324478273990621749 y[1] (numeric) = 1.5191507660159324477738561503556 absolute error = 5.35429118193e-20 relative error = 3.5245291657074710798988725080898e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.149 y[1] (analytic) = 1.5189082407696458521620067370256 y[1] (numeric) = 1.5189082407696458521084196213571 absolute error = 5.35871156685e-20 relative error = 3.5280021682775832230435407791967e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.15 y[1] (analytic) = 1.5186651813509435770486732580231 y[1] (numeric) = 1.5186651813509435769950419426205 absolute error = 5.36313154026e-20 relative error = 3.5314772512853514491473037935408e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.151 y[1] (analytic) = 1.5184215879953861124266644903421 y[1] (numeric) = 1.5184215879953861123729889793198 absolute error = 5.36755110223e-20 relative error = 3.5349544188950966641984067564754e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.4MB, time=82.71 NO POLE x[1] = 0.152 y[1] (analytic) = 1.5181774609384816251658653840596 y[1] (numeric) = 1.5181774609384816251121456815319 absolute error = 5.37197025277e-20 relative error = 3.5384336752366518561817411292213e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.153 y[1] (analytic) = 1.517932800415685966969664719101 y[1] (numeric) = 1.5179328004156859669159008291818 absolute error = 5.37638899192e-20 relative error = 3.5419150244646374517574384786661e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.154 y[1] (analytic) = 1.5176876066624026822769307512045 y[1] (numeric) = 1.5176876066624026822231226780074 absolute error = 5.38080731971e-20 relative error = 3.5453984707321373112975819343846e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.155 y[1] (analytic) = 1.5174418799139830161630778435371 y[1] (numeric) = 1.5174418799139830161092255911754 absolute error = 5.38522523617e-20 relative error = 3.5488840181972994571840790789305e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.156 y[1] (analytic) = 1.5171956204057259222402241685846 y[1] (numeric) = 1.5171956204057259221863277411712 absolute error = 5.38964274134e-20 relative error = 3.5523716710299432103760819387192e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.157 y[1] (analytic) = 1.516948828372878070556440564933 y[1] (numeric) = 1.5169488283728780705024999665806 absolute error = 5.39405983524e-20 relative error = 3.5558614333918040705001322559799e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.4MB, time=83.13 NO POLE x[1] = 0.158 y[1] (analytic) = 1.5167015040506338554940906335526 y[1] (numeric) = 1.5167015040506338554401058683735 absolute error = 5.39847651791e-20 relative error = 3.5593533094629121030239590564734e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.159 y[1] (analytic) = 1.5164536476741354036672621581877 y[1] (numeric) = 1.5164536476741354036132332302938 absolute error = 5.40289278939e-20 relative error = 3.5628473034284301436999074871430e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.16 y[1] (analytic) = 1.5162052594784725818182899344495 y[1] (numeric) = 1.5162052594784725817642168479526 absolute error = 5.40730864969e-20 relative error = 3.5663434194588837370869713834726e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.161 y[1] (analytic) = 1.5159563396986830047133700922042 y[1] (numeric) = 1.5159563396986830046592528512156 absolute error = 5.41172409886e-20 relative error = 3.5698416617563365731030546333352e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.162 y[1] (analytic) = 1.5157068885697520430372659958381 y[1] (numeric) = 1.5157068885697520429831046044686 absolute error = 5.41613913695e-20 relative error = 3.5733420345280380327444349785625e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.163 y[1] (analytic) = 1.5154569063266128312871058069782 y[1] (numeric) = 1.5154569063266128312329002693388 absolute error = 5.42055376394e-20 relative error = 3.5768445419402487958856312534974e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=797.3MB, alloc=4.4MB, time=83.54 NO POLE x[1] = 0.164 y[1] (analytic) = 1.5152063932041462756652717942416 y[1] (numeric) = 1.5152063932041462756110221144424 absolute error = 5.42496797992e-20 relative error = 3.5803491882370146834776681850879e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.165 y[1] (analytic) = 1.5149553494371810619713814745719 y[1] (numeric) = 1.5149553494371810619170876567231 absolute error = 5.42938178488e-20 relative error = 3.5838559776016250349300809840100e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.166 y[1] (analytic) = 1.5147037752604936634933606707274 y[1] (numeric) = 1.5147037752604936634390227189388 absolute error = 5.43379517886e-20 relative error = 3.5873649142556036550433843907073e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.167 y[1] (analytic) = 1.5144516709088083488976085694668 y[1] (numeric) = 1.5144516709088083488432264878476 absolute error = 5.43820816192e-20 relative error = 3.5908760024389434026160892963465e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.168 y[1] (analytic) = 1.514199036616797190118254864978 y[1] (numeric) = 1.5141990366167971900638286576375 absolute error = 5.44262073405e-20 relative error = 3.5943892463506962717810228285051e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.5MB, time=83.95 NO POLE x[1] = 0.169 y[1] (analytic) = 1.5139458726190800702455090720908 y[1] (numeric) = 1.5139458726190800701910387431376 absolute error = 5.44703289532e-20 relative error = 3.5979046502480300936332324700958e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.17 y[1] (analytic) = 1.5136921791502246914131020937992 y[1] (numeric) = 1.5136921791502246913585876473418 absolute error = 5.45144464574e-20 relative error = 3.6014222183538000949131618609024e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.171 y[1] (analytic) = 1.5134379564447465826848201276227 y[1] (numeric) = 1.5134379564447465826302615677693 absolute error = 5.45585598534e-20 relative error = 3.6049419549093919941154911680340e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.172 y[1] (analytic) = 1.5131832047371091079401309953222 y[1] (numeric) = 1.5131832047371091078855283261805 absolute error = 5.46026691417e-20 relative error = 3.6084638641747496029198274817967e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.173 y[1] (analytic) = 1.5129279242617234737589029804814 y[1] (numeric) = 1.512927924261723473704256206159 absolute error = 5.46467743224e-20 relative error = 3.6119879503887443394487559939818e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.174 y[1] (analytic) = 1.5126721152529487373052162584601 y[1] (numeric) = 1.5126721152529487372505253830641 absolute error = 5.46908753960e-20 relative error = 3.6155142178220560665870768069528e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.5MB, time=84.37 NO POLE x[1] = 0.175 y[1] (analytic) = 1.5124157779450918142102670032157 y[1] (numeric) = 1.5124157779450918141555320308529 absolute error = 5.47349723628e-20 relative error = 3.6190426707375404459353824402526e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.176 y[1] (analytic) = 1.5121589125724074864543642554855 y[1] (numeric) = 1.5121589125724074863995851902625 absolute error = 5.47790652230e-20 relative error = 3.6225733133968474837000812418891e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.177 y[1] (analytic) = 1.5119015193690984102480196368144 y[1] (numeric) = 1.5119015193690984101931964828372 absolute error = 5.48231539772e-20 relative error = 3.6261061500935035336848027626004e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.178 y[1] (analytic) = 1.5116435985693151239121299939048 y[1] (numeric) = 1.5116435985693151238572627552796 absolute error = 5.48672386252e-20 relative error = 3.6296411850735667779828562299288e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.179 y[1] (analytic) = 1.511385150407156055757253057764 y[1] (numeric) = 1.5113851504071560557023417385962 absolute error = 5.49113191678e-20 relative error = 3.6331784226546948695172480288966e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.5MB, time=84.78 NO POLE x[1] = 0.18 y[1] (analytic) = 1.5111261751166675319619762021087 y[1] (numeric) = 1.5111261751166675319070208065034 absolute error = 5.49553956053e-20 relative error = 3.6367178671269545721423799071969e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.181 y[1] (analytic) = 1.5108666729318437844503783854898 y[1] (numeric) = 1.5108666729318437843953789175519 absolute error = 5.49994679379e-20 relative error = 3.6402595227792851796467600516041e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.182 y[1] (analytic) = 1.5106066440866269587685853615866 y[1] (numeric) = 1.5106066440866269587135418254209 absolute error = 5.50435361657e-20 relative error = 3.6438033938995096817777770673735e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.183 y[1] (analytic) = 1.5103460888149071219604182421172 y[1] (numeric) = 1.5103460888149071219053306418278 absolute error = 5.50876002894e-20 relative error = 3.6473494848206929169342510014416e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.184 y[1] (analytic) = 1.5100850073505222704421354968009 y[1] (numeric) = 1.5100850073505222703870038364919 absolute error = 5.51316603090e-20 relative error = 3.6508977998351049213811589646290e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.185 y[1] (analytic) = 1.5098233999272583378762684748083 y[1] (numeric) = 1.5098233999272583378210927585832 absolute error = 5.51757162251e-20 relative error = 3.6544483432803006276333550445450e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.5MB, time=85.19 NO POLE x[1] = 0.186 y[1] (analytic) = 1.5095612667788492030445505321212 y[1] (numeric) = 1.5095612667788492029893307640833 absolute error = 5.52197680379e-20 relative error = 3.6580011194729268731531146933886e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.187 y[1] (analytic) = 1.5092986081389766977199398492228 y[1] (numeric) = 1.5092986081389766976646760334751 absolute error = 5.52638157477e-20 relative error = 3.6615561327418444290749287813776e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.188 y[1] (analytic) = 1.5090354242412706145377360235296 y[1] (numeric) = 1.5090354242412706144824281641748 absolute error = 5.53078593548e-20 relative error = 3.6651133874215240693159006400126e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.189 y[1] (analytic) = 1.508771715319308714865790520971 y[1] (numeric) = 1.5087717153193087148104386221114 absolute error = 5.53518988596e-20 relative error = 3.6686728878586915813933274634402e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.19 y[1] (analytic) = 1.5085074816066167366738110711143 y[1] (numeric) = 1.508507481606616736618415136852 absolute error = 5.53959342623e-20 relative error = 3.6722346383924635023787668893301e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.191 y[1] (analytic) = 1.5082427233366684024017600902294 y[1] (numeric) = 1.508242723336668402346320124666 memory used=816.3MB, alloc=4.5MB, time=85.60 absolute error = 5.54399655634e-20 relative error = 3.6757986433875038448835744982021e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.192 y[1] (analytic) = 1.5079774407428854268273472166764 y[1] (numeric) = 1.5079774407428854267718632239133 absolute error = 5.54839927631e-20 relative error = 3.6793649071942703801095470425666e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.193 y[1] (analytic) = 1.5077116340586375249326160429975 y[1] (numeric) = 1.5077116340586375248770880271358 absolute error = 5.55280158617e-20 relative error = 3.6829334341755446711160459700548e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.194 y[1] (analytic) = 1.5074453035172424197696251290842 y[1] (numeric) = 1.5074453035172424197140530942246 absolute error = 5.55720348596e-20 relative error = 3.6865042287064551835702111621143e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.195 y[1] (analytic) = 1.5071784493519658503252233807855 y[1] (numeric) = 1.5071784493519658502696073310285 absolute error = 5.56160497570e-20 relative error = 3.6900772951545957296561055188729e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.196 y[1] (analytic) = 1.506911071796021579384919878318 y[1] (numeric) = 1.5069110717960215793292598177636 absolute error = 5.56600605544e-20 relative error = 3.6936526379132115311594586911565e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.5MB, time=86.01 NO POLE x[1] = 0.197 y[1] (analytic) = 1.5066431710825714013958482388281 y[1] (numeric) = 1.5066431710825714013401441715761 absolute error = 5.57040672520e-20 relative error = 3.6972302613614106481993605823339e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.198 y[1] (analytic) = 1.5063747474447251503288255974549 y[1] (numeric) = 1.5063747474447251502730775276047 absolute error = 5.57480698502e-20 relative error = 3.7008101698973559869786848988539e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.199 y[1] (analytic) = 1.5061058011155407075395062912307 y[1] (numeric) = 1.5061058011155407074837142228815 absolute error = 5.57920683492e-20 relative error = 3.7043923679117360260453116190328e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.2 y[1] (analytic) = 1.5058363323280240096286303301544 y[1] (numeric) = 1.505836332328024009572794267405 absolute error = 5.58360627494e-20 relative error = 3.7079768598143337684015479871121e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.201 y[1] (analytic) = 1.505566341315129056301366739762 y[1] (numeric) = 1.5055663413151290562454866867108 absolute error = 5.58800530512e-20 relative error = 3.7115636500207721165881841840954e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.202 y[1] (analytic) = 1.5052958283097579182257518595148 y[1] (numeric) = 1.50529582830975791816982782026 absolute error = 5.59240392548e-20 relative error = 3.7151527429392450428398102322636e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=824.0MB, alloc=4.5MB, time=86.41 NO POLE x[1] = 0.203 y[1] (analytic) = 1.5050247935447607448902226813182 y[1] (numeric) = 1.5050247935447607448342546599576 absolute error = 5.59680213606e-20 relative error = 3.7187441429971008926792786368043e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.204 y[1] (analytic) = 1.5047532372529357724602453124774 y[1] (numeric) = 1.5047532372529357724042333131086 absolute error = 5.60119993688e-20 relative error = 3.7223378546142895583517673863514e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.205 y[1] (analytic) = 1.5044811596670293316340386473899 y[1] (numeric) = 1.5044811596670293315779826741102 absolute error = 5.60559732797e-20 relative error = 3.7259338822233085956698029980944e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.206 y[1] (analytic) = 1.504208561019735855497393332268 y[1] (numeric) = 1.5042085610197358554412933891742 absolute error = 5.60999430938e-20 relative error = 3.7295322302758749495179905828101e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.207 y[1] (analytic) = 1.5039354415436978873775861071778 y[1] (numeric) = 1.5039354415436978873214421983663 absolute error = 5.61439088115e-20 relative error = 3.7331329032230071152488362837564e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.5MB, time=86.82 NO POLE x[1] = 0.208 y[1] (analytic) = 1.503661801471506088696389609674 y[1] (numeric) = 1.5036618014715060886402017392413 absolute error = 5.61878704327e-20 relative error = 3.7367359054884352074537977356080e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.209 y[1] (analytic) = 1.5033876410356992468221777243068 y[1] (numeric) = 1.5033876410356992467659458963487 absolute error = 5.62318279581e-20 relative error = 3.7403412415550598734891124762938e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.21 y[1] (analytic) = 1.5031129604687642829211265622632 y[1] (numeric) = 1.5031129604687642828648507808752 absolute error = 5.62757813880e-20 relative error = 3.7439489158851843517813540565316e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.211 y[1] (analytic) = 1.5028377600031362598075111554063 y[1] (numeric) = 1.5028377600031362597511914246838 absolute error = 5.63197307225e-20 relative error = 3.7475589329338162767099758515591e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.212 y[1] (analytic) = 1.5025620398711983897930979489659 y[1] (numeric) = 1.5025620398711983897367342730039 absolute error = 5.63636759620e-20 relative error = 3.7511712971819499068663738144955e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.213 y[1] (analytic) = 1.5022858003052820425356331771256 y[1] (numeric) = 1.5022858003052820424792255600186 absolute error = 5.64076171070e-20 relative error = 3.7547860131232893612051018950046e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.5MB, time=87.23 NO POLE x[1] = 0.214 y[1] (analytic) = 1.5020090415376667528864272057482 y[1] (numeric) = 1.5020090415376667528299756515906 absolute error = 5.64515541576e-20 relative error = 3.7584030852309840504651974933790e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.215 y[1] (analytic) = 1.5017317638005802287370349264735 y[1] (numeric) = 1.5017317638005802286805394393592 absolute error = 5.64954871143e-20 relative error = 3.7620225180108940347537700427657e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.216 y[1] (analytic) = 1.5014539673261983588650322864145 y[1] (numeric) = 1.5014539673261983588084928704373 absolute error = 5.65394159772e-20 relative error = 3.7656443159483510186551132356218e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.217 y[1] (analytic) = 1.501175652346645220778889037674 y[1] (numeric) = 1.5011756523466452207223056969271 absolute error = 5.65833407469e-20 relative error = 3.7692684835681048564852595978151e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.218 y[1] (analytic) = 1.5008968190939930885619377908939 y[1] (numeric) = 1.5008968190939930885053105294704 absolute error = 5.66272614235e-20 relative error = 3.7728950253677457782297524763263e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=835.4MB, alloc=4.5MB, time=87.64 x[1] = 0.219 y[1] (analytic) = 1.5006174678002624407154394570468 y[1] (numeric) = 1.5006174678002624406587682790395 absolute error = 5.66711780073e-20 relative error = 3.7765239458643391425099957252957e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.22 y[1] (analytic) = 1.500337598697421968000745161669 y[1] (numeric) = 1.5003375986974219679440300711703 absolute error = 5.67150904987e-20 relative error = 3.7801552495877908983016333475495e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.221 y[1] (analytic) = 1.5000572120173885812805547157297 y[1] (numeric) = 1.5000572120173885812237957168316 absolute error = 5.67589988981e-20 relative error = 3.7837889410742056939956681575789e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.222 y[1] (analytic) = 1.4997763079920274193592717273241 y[1] (numeric) = 1.4997763079920274193024688241184 absolute error = 5.68029032057e-20 relative error = 3.7874250248525699150005171277290e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.223 y[1] (analytic) = 1.4994948868531518568224554383718 y[1] (numeric) = 1.49949488685315185676560863495 absolute error = 5.68468034218e-20 relative error = 3.7910635054647643066259109548688e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.224 y[1] (analytic) = 1.4992129488325235118753693704945 y[1] (numeric) = 1.4992129488325235118184786709476 absolute error = 5.68906995469e-20 relative error = 3.7947043874722587953614196651874e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.5MB, time=88.05 NO POLE x[1] = 0.225 y[1] (analytic) = 1.4989304941618522541806268642405 y[1] (numeric) = 1.4989304941618522541236922726593 absolute error = 5.69345915812e-20 relative error = 3.7983476754227863927699091759640e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.226 y[1] (analytic) = 1.4986475230727962126949335958183 y[1] (numeric) = 1.4986475230727962126379551162933 absolute error = 5.69784795250e-20 relative error = 3.8019933738770335802907267574834e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.227 y[1] (analytic) = 1.4983640357969617835049271554936 y[1] (numeric) = 1.4983640357969617834479047921148 absolute error = 5.70223633788e-20 relative error = 3.8056414874153390719960303776001e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.228 y[1] (analytic) = 1.4980800325659036376621137717965 y[1] (numeric) = 1.4980800325659036376050475286539 absolute error = 5.70662431426e-20 relative error = 3.8092920205909985646416321202122e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.229 y[1] (analytic) = 1.4977955136111247290169022656836 y[1] (numeric) = 1.4977955136111247289597921468666 absolute error = 5.71101188170e-20 relative error = 3.8129449780036929737825531604078e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.23 y[1] (analytic) = 1.4975104791640763020517353187854 y[1] (numeric) = 1.4975104791640763019945813283833 absolute error = 5.71539904021e-20 relative error = 3.8166003642260898835609931270912e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.5MB, time=88.46 NO POLE x[1] = 0.231 y[1] (analytic) = 1.497224929456157899713318139872 y[1] (numeric) = 1.4972249294561578996561202819736 absolute error = 5.71978578984e-20 relative error = 3.8202581838639416953536506289660e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.232 y[1] (analytic) = 1.4969388647187173712439446136552 y[1] (numeric) = 1.496938864718717371186702892349 absolute error = 5.72417213062e-20 relative error = 3.8239184415160480393956452131710e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.233 y[1] (analytic) = 1.4966522851830508800119210160439 y[1] (numeric) = 1.4966522851830508799546354354183 absolute error = 5.72855806256e-20 relative error = 3.8275811417742618177215344021709e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.234 y[1] (analytic) = 1.4963651910804029113410873799618 y[1] (numeric) = 1.4963651910804029112837579441046 absolute error = 5.73294358572e-20 relative error = 3.8312462892702752294095112019942e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.235 y[1] (analytic) = 1.4960775826419662803394365958274 y[1] (numeric) = 1.4960775826419662802820633088261 absolute error = 5.73732870013e-20 relative error = 3.8349138886221975321993451334155e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.5MB, time=88.87 NO POLE x[1] = 0.236 y[1] (analytic) = 1.4957894600988821397268313307934 y[1] (numeric) = 1.4957894600988821396694141967353 absolute error = 5.74171340581e-20 relative error = 3.8385839444479255830910380044568e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.237 y[1] (analytic) = 1.4955008236822399876618188508342 y[1] (numeric) = 1.4955008236822399876043578738062 absolute error = 5.74609770280e-20 relative error = 3.8422564613852165022787193314764e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.238 y[1] (analytic) = 1.4952116736230776755675438297625 y[1] (numeric) = 1.4952116736230776755100390138514 absolute error = 5.75048159111e-20 relative error = 3.8459314440582794831110444349762e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.239 y[1] (analytic) = 1.4949220101523814159567592292523 y[1] (numeric) = 1.4949220101523814158992105785442 absolute error = 5.75486507081e-20 relative error = 3.8496088971379792216547647422859e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.24 y[1] (analytic) = 1.494631833501085790255935333935 y[1] (numeric) = 1.4946318335010857901983428525161 absolute error = 5.75924814189e-20 relative error = 3.8532888252482253426728188090390e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.241 y[1] (analytic) = 1.4943411439000737566284670256346 y[1] (numeric) = 1.4943411439000737565708307175905 absolute error = 5.76363080441e-20 relative error = 3.8569712330663182530376655058701e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=850.7MB, alloc=4.5MB, time=89.28 NO POLE x[1] = 0.242 y[1] (analytic) = 1.4940499415801766577969793807936 y[1] (numeric) = 1.4940499415801766577392992502095 absolute error = 5.76801305841e-20 relative error = 3.8606561252627748889564105208266e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.243 y[1] (analytic) = 1.493758226772174228864731675142 y[1] (numeric) = 1.4937582267721742288070077261031 absolute error = 5.77239490389e-20 relative error = 3.8643435064879458831574241403894e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.244 y[1] (analytic) = 1.4934659997067946051361198796517 y[1] (numeric) = 1.4934659997067946050783521162427 absolute error = 5.77677634090e-20 relative error = 3.8680333814322711430655391471117e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.245 y[1] (analytic) = 1.4931732606147143299362777318108 y[1] (numeric) = 1.4931732606147143298784661581159 absolute error = 5.78115736949e-20 relative error = 3.8717257547928461409397904986465e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.246 y[1] (analytic) = 1.4928800097265583624297764662483 y[1] (numeric) = 1.4928800097265583623719210863518 absolute error = 5.78553798965e-20 relative error = 3.8754206312332505300796742538553e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.247 memory used=854.5MB, alloc=4.5MB, time=89.69 y[1] (analytic) = 1.4925862472729000854384232887336 y[1] (numeric) = 1.4925862472729000853805241067192 absolute error = 5.78991820144e-20 relative error = 3.8791180154706251706152424424741e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.248 y[1] (analytic) = 1.4922919734842613132581586775643 y[1] (numeric) = 1.4922919734842613132002156975154 absolute error = 5.79429800489e-20 relative error = 3.8828179122087266622933849681847e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.249 y[1] (analytic) = 1.4919971885911122994750525963539 y[1] (numeric) = 1.4919971885911122994170658223535 absolute error = 5.79867740004e-20 relative error = 3.8865203261647367347747514952091e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.25 y[1] (analytic) = 1.4917018928238717447803997022225 y[1] (numeric) = 1.4917018928238717447223691383535 absolute error = 5.80305638690e-20 relative error = 3.8902252620424733803128271543492e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.251 y[1] (analytic) = 1.4914060864129068047849136333872 y[1] (numeric) = 1.491406086412906804726839283732 absolute error = 5.80743496552e-20 relative error = 3.8939327245793260633419041497037e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.252 y[1] (analytic) = 1.4911097695885330978320204601407 y[1] (numeric) = 1.4911097695885330977739023287815 absolute error = 5.81181313592e-20 relative error = 3.8976427184993570092016181665537e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.5MB, time=90.10 NO POLE x[1] = 0.253 y[1] (analytic) = 1.4908129425810147128102513832039 y[1] (numeric) = 1.4908129425810147127520894742227 absolute error = 5.81619089812e-20 relative error = 3.9013552485334241220335379103979e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.254 y[1] (analytic) = 1.4905156056205642169647347634283 y[1] (numeric) = 1.4905156056205642169065290809064 absolute error = 5.82056825219e-20 relative error = 3.9050703194527460817940111320715e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.255 y[1] (analytic) = 1.4902177589373426637077875668168 y[1] (numeric) = 1.4902177589373426636495381148354 absolute error = 5.82494519814e-20 relative error = 3.9087879359951408552503973135842e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.256 y[1] (analytic) = 1.4899194027614596004286063088305 y[1] (numeric) = 1.4899194027614596003703130914704 absolute error = 5.82932173601e-20 relative error = 3.9125081029254112252125245378541e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.257 y[1] (analytic) = 1.4896205373229730763020575819345 y[1] (numeric) = 1.4896205373229730762437206032764 absolute error = 5.83369786581e-20 relative error = 3.9162308249951060408496406919135e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.258 y[1] (analytic) = 1.4893211628518896500965682503365 y[1] (numeric) = 1.4893211628518896500381875144606 absolute error = 5.83807358759e-20 relative error = 3.9199561069895211518002931389740e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.5MB, time=90.51 NO POLE x[1] = 0.259 y[1] (analytic) = 1.4890212795781643979811153958599 y[1] (numeric) = 1.4890212795781643979226909068461 absolute error = 5.84244890138e-20 relative error = 3.9236839536874513860108052945354e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.26 y[1] (analytic) = 1.4887208877317009213313160988903 y[1] (numeric) = 1.4887208877317009212728478608181 absolute error = 5.84682380722e-20 relative error = 3.9274143698813485426082874612726e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.261 y[1] (analytic) = 1.4884199875423513545346171383252 y[1] (numeric) = 1.4884199875423513544761051552739 absolute error = 5.85119830513e-20 relative error = 3.9311473603571925860164439764449e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.262 y[1] (analytic) = 1.488118579239916372794584694452 y[1] (numeric) = 1.4881185792399163727360289705007 absolute error = 5.85557239513e-20 relative error = 3.9348829299079379077392457530823e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.263 y[1] (analytic) = 1.487816663054145199934294138672 y[1] (numeric) = 1.4878166630541451998756946778991 absolute error = 5.85994607729e-20 relative error = 3.9386210833671396876778090224346e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.5MB, time=90.92 NO POLE x[1] = 0.264 y[1] (analytic) = 1.4875142392147356161988199939795 y[1] (numeric) = 1.4875142392147356161401768004635 absolute error = 5.86431935160e-20 relative error = 3.9423618255216140516675157224399e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.265 y[1] (analytic) = 1.4872113079513339660568261501045 y[1] (numeric) = 1.4872113079513339659981392279232 absolute error = 5.86869221813e-20 relative error = 3.9461051612189875090159123261183e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.266 y[1] (analytic) = 1.4869078694935351660012564172122 y[1] (numeric) = 1.4869078694935351659425257704433 absolute error = 5.87306467689e-20 relative error = 3.9498510952736168376642648850635e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.267 y[1] (analytic) = 1.4866039240708827123491255020549 y[1] (numeric) = 1.4866039240708827122903511347758 absolute error = 5.87743672791e-20 relative error = 3.9535996325203821636787563466261e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.268 y[1] (analytic) = 1.4862994719128686890404104904583 y[1] (numeric) = 1.4862994719128686889815924067461 absolute error = 5.88180837122e-20 relative error = 3.9573507778012647784865629096861e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.269 y[1] (analytic) = 1.485994513248933775436042920022 y[1] (numeric) = 1.4859945132489337753771811239533 absolute error = 5.88617960687e-20 relative error = 3.9611045359788265200424436600293e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.5MB, time=91.34 NO POLE x[1] = 0.27 y[1] (analytic) = 1.4856890483084672541150015269043 y[1] (numeric) = 1.4856890483084672540560960225555 absolute error = 5.89055043488e-20 relative error = 3.9648609119025896201918473087772e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.271 y[1] (analytic) = 1.4853830773208070186705057505584 y[1] (numeric) = 1.4853830773208070186115565420057 absolute error = 5.89492085527e-20 relative error = 3.9686199104292332517928559305530e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.272 y[1] (analytic) = 1.4850766005152395815053100802775 y[1] (numeric) = 1.4850766005152395814463171715965 absolute error = 5.89929086810e-20 relative error = 3.9723815364495486627291237948939e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.273 y[1] (analytic) = 1.4847696181210000816260993273993 y[1] (numeric) = 1.4847696181210000815670627226656 absolute error = 5.90366047337e-20 relative error = 3.9761457948211370487979441055644e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.274 y[1] (analytic) = 1.484462130367272292436984907019 y[1] (numeric) = 1.4844621303672722923779046103075 absolute error = 5.90802967115e-20 relative error = 3.9799126904559622160770045746154e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=873.5MB, alloc=4.5MB, time=91.75 x[1] = 0.275 y[1] (analytic) = 1.4841541374831886295321022130445 y[1] (numeric) = 1.4841541374831886294729782284302 absolute error = 5.91239846143e-20 relative error = 3.9836822282193524240772977485159e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.276 y[1] (analytic) = 1.4838456396978301584873091704316 y[1] (numeric) = 1.483845639697830158428141501989 absolute error = 5.91676684426e-20 relative error = 3.9874544130243146234689457252354e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.277 y[1] (analytic) = 1.4835366372402266026509860484205 y[1] (numeric) = 1.4835366372402266025917747002236 absolute error = 5.92113481969e-20 relative error = 3.9912292497911533255389549704009e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.278 y[1] (analytic) = 1.483227130339356350933936618594 y[1] (numeric) = 1.4832271303393563508746815947167 absolute error = 5.92550238773e-20 relative error = 3.9950067434205232543152993864905e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.279 y[1] (analytic) = 1.4829171192241464655983907415718 y[1] (numeric) = 1.4829171192241464655390920460876 absolute error = 5.92986954842e-20 relative error = 3.9987868988406263384324204770811e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.28 y[1] (analytic) = 1.4826066041234726900461084661439 y[1] (numeric) = 1.4826066041234726899867661031259 absolute error = 5.93423630180e-20 relative error = 4.0025697209870191226078141382550e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=877.4MB, alloc=4.5MB, time=92.15 NO POLE x[1] = 0.281 y[1] (analytic) = 1.4822955852661594566055857246439 y[1] (numeric) = 1.4822955852661594565461996981651 absolute error = 5.93860264788e-20 relative error = 4.0063552147823948845294328345663e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.282 y[1] (analytic) = 1.4819840628809798943183617083563 y[1] (numeric) = 1.4819840628809798942589320224892 absolute error = 5.94296858671e-20 relative error = 4.0101433851838173846158969630841e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.283 y[1] (analytic) = 1.4816720371966558367244280067411 y[1] (numeric) = 1.4816720371966558366649546655581 absolute error = 5.94733411830e-20 relative error = 4.0139342371287772396831780754456e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.284 y[1] (analytic) = 1.4813595084418578296467395942584 y[1] (numeric) = 1.4813595084418578295872226018313 absolute error = 5.95169924271e-20 relative error = 4.0177277755959396218110717429316e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.255 Order of pole = 17.07 x[1] = 0.285 y[1] (analytic) = 1.4810464768452051389748277485636 y[1] (numeric) = 1.481046476845205138915267108964 absolute error = 5.95606395996e-20 relative error = 4.0215240055444331944132801033482e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.286 y[1] (analytic) = 1.4807329426352657584475149838419 y[1] (numeric) = 1.4807329426352657583879107011411 absolute error = 5.96042827008e-20 relative error = 4.0253229319476098848350784265681e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.5MB, time=92.55 NO POLE x[1] = 0.287 y[1] (analytic) = 1.4804189060405564174347320830406 y[1] (numeric) = 1.4804189060405564173750841613096 absolute error = 5.96479217310e-20 relative error = 4.0291245597863184425292491675623e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.288 y[1] (analytic) = 1.4801043672895425887184373127533 y[1] (numeric) = 1.4801043672895425886587457560627 absolute error = 5.96915566906e-20 relative error = 4.0329288940556820395475080771745e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.289 y[1] (analytic) = 1.4797893266106384962726379045024 y[1] (numeric) = 1.4797893266106384962129027169227 absolute error = 5.97351875797e-20 relative error = 4.0367359397380959591464273218872e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.29 y[1] (analytic) = 1.4794737842322071230425138861616 y[1] (numeric) = 1.4794737842322071229827350717626 absolute error = 5.97788143990e-20 relative error = 4.0405457018640598683621903373099e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.291 y[1] (analytic) = 1.4791577403825602187226443472491 y[1] (numeric) = 1.4791577403825602186628219101006 absolute error = 5.98224371485e-20 relative error = 4.0443581854243547060716741814084e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.5MB, time=92.96 NO POLE x[1] = 0.292 y[1] (analytic) = 1.478841195289958307534336221823 y[1] (numeric) = 1.4788411952899583074744701659942 absolute error = 5.98660558288e-20 relative error = 4.0481733954579203439403067547877e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.293 y[1] (analytic) = 1.4785241491826106960020556726947 y[1] (numeric) = 1.4785241491826106959421460022548 absolute error = 5.99096704399e-20 relative error = 4.0519913369707585626736149300945e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.294 y[1] (analytic) = 1.4782066022886754807289621606791 y[1] (numeric) = 1.4782066022886754806690088796968 absolute error = 5.99532809823e-20 relative error = 4.0558120150103256789679752356413e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.295 y[1] (analytic) = 1.4778885548362595561715452825851 y[1] (numeric) = 1.4778885548362595561115483951288 absolute error = 5.99968874563e-20 relative error = 4.0596354346182256671215035787341e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.296 y[1] (analytic) = 1.4775700070534186224133644616495 y[1] (numeric) = 1.4775700070534186223533239717874 absolute error = 6.00404898621e-20 relative error = 4.0634616008369852346723247916239e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.297 y[1] (analytic) = 1.4772509591681571929378915741088 y[1] (numeric) = 1.4772509591681571928778074859086 absolute error = 6.00840882002e-20 relative error = 4.0672905187371456250354417259328e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.5MB, time=93.37 NO POLE x[1] = 0.298 y[1] (analytic) = 1.4769314114084286024004565955951 y[1] (numeric) = 1.4769314114084286023403289131242 absolute error = 6.01276824709e-20 relative error = 4.0711221933834524238139553948414e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.299 y[1] (analytic) = 1.4766113640021350143992963510388 y[1] (numeric) = 1.4766113640021350143391250783645 absolute error = 6.01712726743e-20 relative error = 4.0749566298348628372866798803940e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.3 y[1] (analytic) = 1.4762908171771274292457064517528 y[1] (numeric) = 1.4762908171771274291854915929418 absolute error = 6.02148588110e-20 relative error = 4.0787938331919690684518196087057e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.301 y[1] (analytic) = 1.4759697711612056917332965033646 y[1] (numeric) = 1.4759697711612056916730380624834 absolute error = 6.02584408812e-20 relative error = 4.0826338085360802371075107815525e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.302 y[1] (analytic) = 1.4756482261821184989063486682602 y[1] (numeric) = 1.4756482261821184988460466493751 absolute error = 6.03020188851e-20 relative error = 4.0864765609563217290125733897017e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=892.6MB, alloc=4.5MB, time=93.78 x[1] = 0.303 y[1] (analytic) = 1.4753261824675634078272796661937 y[1] (numeric) = 1.4753261824675634077669340733705 absolute error = 6.03455928232e-20 relative error = 4.0903220955699917632750821379738e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.304 y[1] (analytic) = 1.4750036402451868433432062967104 y[1] (numeric) = 1.4750036402451868432828171340145 absolute error = 6.03891626959e-20 relative error = 4.0941704174954871834927434237671e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.305 y[1] (analytic) = 1.4746805997425841058516145670261 y[1] (numeric) = 1.4746805997425841057911818385228 absolute error = 6.04327285033e-20 relative error = 4.0980215318387560512138082999867e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.306 y[1] (analytic) = 1.4743570611872993790651325089987 y[1] (numeric) = 1.4743570611872993790046562187529 absolute error = 6.04762902458e-20 relative error = 4.1018754437339933331021691822516e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.307 y[1] (analytic) = 1.4740330248068257377754067688189 y[1] (numeric) = 1.4740330248068257377148869208952 absolute error = 6.05198479237e-20 relative error = 4.1057321583165491021305890938172e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.308 y[1] (analytic) = 1.473708490828605155616083053044 y[1] (numeric) = 1.4737084908286051555555196515067 absolute error = 6.05634015373e-20 relative error = 4.1095916807297290835790615077238e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.5MB, time=94.18 NO POLE x[1] = 0.309 y[1] (analytic) = 1.4733834594800285128248905145895 y[1] (numeric) = 1.4733834594800285127642835635025 absolute error = 6.06069510870e-20 relative error = 4.1134540161316041936525994640211e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.31 y[1] (analytic) = 1.4730579309884356040048301622881 y[1] (numeric) = 1.4730579309884356039441796657151 absolute error = 6.06504965730e-20 relative error = 4.1173191696746747357328622332598e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.311 y[1] (analytic) = 1.4727319055811151458844673776184 y[1] (numeric) = 1.4727319055811151458237733396227 absolute error = 6.06940379957e-20 relative error = 4.1211871465330383605190257473696e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.312 y[1] (analytic) = 1.4724053834853047850773286221996 y[1] (numeric) = 1.4724053834853047850165910468441 absolute error = 6.07375753555e-20 relative error = 4.1250579518888444849070882101228e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.313 y[1] (analytic) = 1.472078364928191105840402419641 y[1] (numeric) = 1.4720783649281911057796213109883 absolute error = 6.07811086527e-20 relative error = 4.1289315909255238674776595855165e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.314 y[1] (analytic) = 1.4717508501369096378317446953298 y[1] (numeric) = 1.4717508501369096377709200574425 absolute error = 6.08246378873e-20 relative error = 4.1328080688142145418638852347739e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=900.3MB, alloc=4.5MB, time=94.61 NO POLE x[1] = 0.315 y[1] (analytic) = 1.4714228393385448638671885577343 y[1] (numeric) = 1.4714228393385448638063203946744 absolute error = 6.08681630599e-20 relative error = 4.1366873907749271590781573079084e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.316 y[1] (analytic) = 1.47109433276013022767615860479 y[1] (numeric) = 1.4710943327601302276152469206192 absolute error = 6.09116841708e-20 relative error = 4.1405695620154343141852548441241e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.317 y[1] (analytic) = 1.4707653306286481416565898389341 y[1] (numeric) = 1.4707653306286481415956346377138 absolute error = 6.09552012203e-20 relative error = 4.1444545877516682591571461702803e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.318 y[1] (analytic) = 1.470435833171029994628951274344 y[1] (numeric) = 1.4704358331710299945679525601353 absolute error = 6.09987142087e-20 relative error = 4.1483424732077438492946663139174e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.319 y[1] (analytic) = 1.4701058406141561595893743199306 y[1] (numeric) = 1.4701058406141561595283320967942 absolute error = 6.10422231364e-20 relative error = 4.1522332236227837783845708805659e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.5MB, time=95.03 NO POLE x[1] = 0.32 y[1] (analytic) = 1.4697753531848560014618860216289 y[1] (numeric) = 1.4697753531848560014008002936252 absolute error = 6.10857280037e-20 relative error = 4.1561268442373417660691158785436e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.321 y[1] (analytic) = 1.4694443711099078848497472475239 y[1] (numeric) = 1.4694443711099078847886180187132 absolute error = 6.11292288107e-20 relative error = 4.1600233402866127510882942134573e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.322 y[1] (analytic) = 1.4691128946160391817858958993429 y[1] (numeric) = 1.4691128946160391817247231737848 absolute error = 6.11727255581e-20 relative error = 4.1639227170548953444593467378855e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.323 y[1] (analytic) = 1.4687809239299262794824952338353 y[1] (numeric) = 1.4687809239299262794212790155895 absolute error = 6.12162182458e-20 relative error = 4.1678249797803440173212671570277e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.324 y[1] (analytic) = 1.4684484592781945880795873775617 y[1] (numeric) = 1.4684484592781945880183276706872 absolute error = 6.12597068745e-20 relative error = 4.1717301337638893963103357643106e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.325 y[1] (analytic) = 1.4681155008874185483928521185985 y[1] (numeric) = 1.4681155008874185483315489271543 absolute error = 6.13031914442e-20 relative error = 4.1756381842671514767767792692009e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.5MB, time=95.45 NO POLE x[1] = 0.326 y[1] (analytic) = 1.4677820489841216396604710586661 y[1] (numeric) = 1.4677820489841216395991243867107 absolute error = 6.13466719554e-20 relative error = 4.1795491365941650014331311796776e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.327 y[1] (analytic) = 1.4674481037947763872890972091762 y[1] (numeric) = 1.4674481037947763872277070607678 absolute error = 6.13901484084e-20 relative error = 4.1834629960437397448778696296761e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.328 y[1] (analytic) = 1.4671136655458043705989301146898 y[1] (numeric) = 1.4671136655458043705374964938864 absolute error = 6.14336208034e-20 relative error = 4.1873797679162846740397296934026e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.329 y[1] (analytic) = 1.4667787344635762305678965872718 y[1] (numeric) = 1.4667787344635762305064194981308 absolute error = 6.14770891410e-20 relative error = 4.1912994575479120603944270332564e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.33 y[1] (analytic) = 1.4664433107744116775749371352182 y[1] (numeric) = 1.4664433107744116775134165817969 absolute error = 6.15205534213e-20 relative error = 4.1952220702491193053886131829179e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=911.7MB, alloc=4.5MB, time=95.87 x[1] = 0.331 y[1] (analytic) = 1.4661073947045794991423981696293 y[1] (numeric) = 1.4661073947045794990808341559847 absolute error = 6.15640136446e-20 relative error = 4.1991476113525191587487788120937e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.332 y[1] (analytic) = 1.4657709864802975676775300722934 y[1] (numeric) = 1.4657709864802975676159226024822 absolute error = 6.16074698112e-20 relative error = 4.2030760861992343864247528518075e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.333 y[1] (analytic) = 1.465434086327732848213091208339 y[1] (numeric) = 1.4654340863277328481514402864174 absolute error = 6.16509219216e-20 relative error = 4.2070075001525694343110575585975e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.334 y[1] (analytic) = 1.4650966944730014061470579671073 y[1] (numeric) = 1.4650966944730014060853635971313 absolute error = 6.16943699760e-20 relative error = 4.2109418585639225936958935783246e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.335 y[1] (analytic) = 1.4647588111421684149814409146917 y[1] (numeric) = 1.4647588111421684149197031007171 absolute error = 6.17378139746e-20 relative error = 4.2148791667932675842553472900026e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.336 y[1] (analytic) = 1.4644204365612481640602071415823 y[1] (numeric) = 1.4644204365612481639984258876643 absolute error = 6.17812539180e-20 relative error = 4.2188194302364920973270545548630e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.5MB, time=96.29 NO POLE x[1] = 0.337 y[1] (analytic) = 1.4640815709562040663063088888465 y[1] (numeric) = 1.4640815709562040662444841990402 absolute error = 6.18246898063e-20 relative error = 4.2227626542639814658320976942102e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.338 y[1] (analytic) = 1.4637422145529486659578185362741 y[1] (numeric) = 1.4637422145529486658959504146342 absolute error = 6.18681216399e-20 relative error = 4.2267088442752577354894017316014e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.339 y[1] (analytic) = 1.4634023675773436463031700359039 y[1] (numeric) = 1.4634023675773436462412584864848 absolute error = 6.19115494191e-20 relative error = 4.2306580056716940384337964825620e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.34 y[1] (analytic) = 1.4630620302551998374155068743454 y[1] (numeric) = 1.4630620302551998373535519012011 absolute error = 6.19549731443e-20 relative error = 4.2346101438702008962437966879439e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.341 y[1] (analytic) = 1.4627212028122772238861366473014 y[1] (numeric) = 1.4627212028122772238241382544858 absolute error = 6.19983928156e-20 relative error = 4.2385652642759122143863974072981e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.342 y[1] (analytic) = 1.4623798854742849525570923296919 y[1] (numeric) = 1.4623798854742849524950505212584 absolute error = 6.20418084335e-20 relative error = 4.2425233723300529421820414897843e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.5MB, time=96.70 NO POLE x[1] = 0.343 y[1] (analytic) = 1.4620380784668813402528003247711 y[1] (numeric) = 1.4620380784668813401907151047728 absolute error = 6.20852199983e-20 relative error = 4.2464844734689568308658690983661e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.344 y[1] (analytic) = 1.4616957820156738815108553756247 y[1] (numeric) = 1.4616957820156738814487267481145 absolute error = 6.21286275102e-20 relative error = 4.2504485731309163569145208884515e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.345 y[1] (analytic) = 1.461352996346219256311902422428 y[1] (numeric) = 1.4613529963462192562497303914584 absolute error = 6.21720309696e-20 relative error = 4.2544156767767281932918158065637e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.346 y[1] (analytic) = 1.4610097216840233378086254888371 y[1] (numeric) = 1.4610097216840233377464100584602 absolute error = 6.22154303769e-20 relative error = 4.2583857898760447318968713248768e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.347 y[1] (analytic) = 1.4606659582545412000538436808808 y[1] (numeric) = 1.4606659582545411999915848551485 absolute error = 6.22588257323e-20 relative error = 4.2623589178937064308437407968063e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.5MB, time=97.12 NO POLE x[1] = 0.348 y[1] (analytic) = 1.4603217062831771257277143817136 y[1] (numeric) = 1.4603217062831771256654121646774 absolute error = 6.23022170362e-20 relative error = 4.2663350663171416959880168290428e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.349 y[1] (analytic) = 1.4599769659952846138640437255832 y[1] (numeric) = 1.4599769659952846138016981212943 absolute error = 6.23456042889e-20 relative error = 4.2703142406358595801068761369129e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.35 y[1] (analytic) = 1.4596317376161663875757044343603 y[1] (numeric) = 1.4596317376161663875133154468697 absolute error = 6.23889874906e-20 relative error = 4.2742964463414666073611879366335e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.351 y[1] (analytic) = 1.4592860213710744017791610999711 y[1] (numeric) = 1.4592860213710744017167287333294 absolute error = 6.24323666417e-20 relative error = 4.2782816889482416152267056191305e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.352 y[1] (analytic) = 1.4589398174852098509181029960668 y[1] (numeric) = 1.4589398174852098508556272543242 absolute error = 6.24757417426e-20 relative error = 4.2822699739794684240455912718514e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.353 y[1] (analytic) = 1.4585931261837231766861845022573 y[1] (numeric) = 1.4585931261837231766236653894638 absolute error = 6.25191127935e-20 relative error = 4.2862613069537491132941073838172e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=927.0MB, alloc=4.5MB, time=97.53 NO POLE x[1] = 0.354 y[1] (analytic) = 1.4582459476917140757488732242318 y[1] (numeric) = 1.458245947691714075686310744437 absolute error = 6.25624797948e-20 relative error = 4.2902556934124430988765646913647e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.355 y[1] (analytic) = 1.4578982822342315074644058930788 y[1] (numeric) = 1.457898282234231507401800050332 absolute error = 6.26058427468e-20 relative error = 4.2942531388991311081344012006142e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.356 y[1] (analytic) = 1.4575501300362737016038521271149 y[1] (numeric) = 1.4575501300362737015412029254652 absolute error = 6.26492016497e-20 relative error = 4.2982536489596323041870057175490e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.357 y[1] (analytic) = 1.4572014913227881660702861395242 y[1] (numeric) = 1.4572014913227881660075935830202 absolute error = 6.26925565040e-20 relative error = 4.3022572291694713061707645494120e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.358 y[1] (analytic) = 1.4568523663186716946170664751015 y[1] (numeric) = 1.4568523663186716945543305677917 absolute error = 6.27359073098e-20 relative error = 4.3062638850858794502389615391445e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.5MB, time=97.95 NO POLE x[1] = 0.359 y[1] (analytic) = 1.4565027552487703745652238593907 y[1] (numeric) = 1.4565027552487703745024446053229 absolute error = 6.27792540678e-20 relative error = 4.3102736223164449946390480672298e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.36 y[1] (analytic) = 1.4561526583378795945199572434966 y[1] (numeric) = 1.4561526583378795944571346467187 absolute error = 6.28225967779e-20 relative error = 4.3142864464230443652011893174081e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.361 y[1] (analytic) = 1.4558020758107440520862381278496 y[1] (numeric) = 1.4558020758107440520233721924091 absolute error = 6.28659354405e-20 relative error = 4.3183023630110995988783735446697e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.362 y[1] (analytic) = 1.455451007892057761583523248189 y[1] (numeric) = 1.4554510078920577615206139781328 absolute error = 6.29092700562e-20 relative error = 4.3223213777090331608505112388296e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.363 y[1] (analytic) = 1.4550994548064640617595757070279 y[1] (numeric) = 1.4550994548064640616966231064028 absolute error = 6.29526006251e-20 relative error = 4.3263434961202036514211882861560e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.364 y[1] (analytic) = 1.4547474167785556235033946338574 y[1] (numeric) = 1.45474741677855562344039870671 absolute error = 6.29959271474e-20 relative error = 4.3303687238641344169896497574585e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.5MB, time=98.37 NO POLE x[1] = 0.365 y[1] (analytic) = 1.454394894032874457557253457337 y[1] (numeric) = 1.4543948940328744574942142077134 absolute error = 6.30392496236e-20 relative error = 4.3343970665902991320582106799787e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.366 y[1] (analytic) = 1.4540418867939119222278468727149 y[1] (numeric) = 1.4540418867939119221647643046609 absolute error = 6.30825680540e-20 relative error = 4.3384285299437858603367613322102e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.367 y[1] (analytic) = 1.4536883952861087310965465877148 y[1] (numeric) = 1.453688395286108731033420705276 absolute error = 6.31258824388e-20 relative error = 4.3424631195721854730949068042358e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.368 y[1] (analytic) = 1.4533344197338549607287659301186 y[1] (numeric) = 1.4533344197338549606655967373399 absolute error = 6.31691927787e-20 relative error = 4.3465008411668937401653329402862e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.369 y[1] (analytic) = 1.452979960361490058382433400267 y[1] (numeric) = 1.4529799603614900583192209011935 absolute error = 6.32124990735e-20 relative error = 4.3505417003668257246570593389624e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.37 y[1] (analytic) = 1.4526250173933028497155752516978 y[1] (numeric) = 1.452625017393302849652319450374 absolute error = 6.32558013238e-20 relative error = 4.3545857028753959795863859260871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.5MB, time=98.78 NO POLE x[1] = 0.371 y[1] (analytic) = 1.4522695910535315464930071831278 y[1] (numeric) = 1.452269591053531546429708083598 absolute error = 6.32990995298e-20 relative error = 4.3586328543779828016173867586289e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.372 y[1] (analytic) = 1.4519136815663637542921352249854 y[1] (numeric) = 1.4519136815663637542287928312934 absolute error = 6.33423936920e-20 relative error = 4.3626831605901331722358044882653e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.373 y[1] (analytic) = 1.4515572891559364802078659036888 y[1] (numeric) = 1.4515572891559364801444802198782 absolute error = 6.33856838106e-20 relative error = 4.3667366272162796189555874307191e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.374 y[1] (analytic) = 1.4512004140463361405566257668613 y[1] (numeric) = 1.4512004140463361404931967969755 absolute error = 6.34289698858e-20 relative error = 4.3707932599704139204869730381700e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.375 y[1] (analytic) = 1.450843056461598568579490352668 y[1] (numeric) = 1.45084305646159856851601810075 absolute error = 6.34722519180e-20 relative error = 4.3748530645898987489379458317891e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.5MB, time=99.19 NO POLE x[1] = 0.376 y[1] (analytic) = 1.4504852166257090221444226864503 y[1] (numeric) = 1.4504852166257090220809071565426 absolute error = 6.35155299077e-20 relative error = 4.3789160468286170538165243887743e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.377 y[1] (analytic) = 1.4501268947626021914476213878293 y[1] (numeric) = 1.4501268947626021913840625839743 absolute error = 6.35588038550e-20 relative error = 4.3829822124225275969060376974746e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.378 y[1] (analytic) = 1.4497680910961622067139784714441 y[1] (numeric) = 1.4497680910961622066503763976839 absolute error = 6.36020737602e-20 relative error = 4.3870515671310436093303845403768e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.379 y[1] (analytic) = 1.4494088058502226458966469244808 y[1] (numeric) = 1.4494088058502226458330015848571 absolute error = 6.36453396237e-20 relative error = 4.3911241167301773325525588639697e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.38 y[1] (analytic) = 1.4490490392485665423757181441449 y[1] (numeric) = 1.449049039248566542312029542699 absolute error = 6.36886014459e-20 relative error = 4.3951998670056744477149356647663e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.381 y[1] (analytic) = 1.4486887915149263926560093182214 y[1] (numeric) = 1.4486887915149263925922774589944 absolute error = 6.37318592270e-20 relative error = 4.3992788237392355339926031054768e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.5MB, time=99.61 NO POLE x[1] = 0.382 y[1] (analytic) = 1.4483280628729841640639608318611 y[1] (numeric) = 1.4483280628729841640001857188938 absolute error = 6.37751129673e-20 relative error = 4.4033609927292395337779570794296e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.383 y[1] (analytic) = 1.4479668535463713024436437837252 y[1] (numeric) = 1.447966853546371302379825421058 absolute error = 6.38183626672e-20 relative error = 4.4074463797907794930877393035671e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.384 y[1] (analytic) = 1.4476051637586687398518776946128 y[1] (numeric) = 1.4476051637586687397880160862857 absolute error = 6.38616083271e-20 relative error = 4.4115349907487904612814303822303e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.385 y[1] (analytic) = 1.4472429937334069022524584916902 y[1] (numeric) = 1.4472429937334069021885536417432 absolute error = 6.39048499470e-20 relative error = 4.4156268314104380701412950871272e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.386 y[1] (analytic) = 1.4468803436940657172094968514357 y[1] (numeric) = 1.4468803436940657171455487639082 absolute error = 6.39480875275e-20 relative error = 4.4197219076342255237282781056229e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.5MB, time=100.01 NO POLE x[1] = 0.387 y[1] (analytic) = 1.4465172138640746215798669844029 y[1] (numeric) = 1.4465172138640746215158756633339 absolute error = 6.39913210690e-20 relative error = 4.4238202252747677555001505102951e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.388 y[1] (analytic) = 1.4461536044668125692047659449037 y[1] (numeric) = 1.4461536044668125691407313943323 absolute error = 6.40345505714e-20 relative error = 4.4279217901620569849900147005340e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.389 y[1] (analytic) = 1.4457895157256080386003835487042 y[1] (numeric) = 1.4457895157256080385363057726689 absolute error = 6.40777760353e-20 relative error = 4.4320266081844464516057672510933e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.39 y[1] (analytic) = 1.4454249478637390406476829818173 y[1] (numeric) = 1.4454249478637390405835619843561 absolute error = 6.41209974612e-20 relative error = 4.4361346852333919782502542458798e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.391 y[1] (analytic) = 1.445059901104433126281292183473 y[1] (numeric) = 1.4450599011044331262171279686239 absolute error = 6.41642148491e-20 relative error = 4.4402460271757905667081026694794e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.392 y[1] (analytic) = 1.4446943756708673941775060863408 y[1] (numeric) = 1.4446943756708673941132986581415 absolute error = 6.42074281993e-20 relative error = 4.4443606399093395506014536229848e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=953.7MB, alloc=4.5MB, time=100.40 NO POLE x[1] = 0.393 y[1] (analytic) = 1.4443283717861684984413997970687 y[1] (numeric) = 1.4443283717861684983771491595563 absolute error = 6.42506375124e-20 relative error = 4.4484785293625907139521291317890e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.394 y[1] (analytic) = 1.4439618896734126562930528001987 y[1] (numeric) = 1.4439618896734126562287589574103 absolute error = 6.42938427884e-20 relative error = 4.4525997014326761138282145910088e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.395 y[1] (analytic) = 1.4435949295556256557528842685157 y[1] (numeric) = 1.4435949295556256556885472244878 absolute error = 6.43370440279e-20 relative error = 4.4567241620684092295956080185585e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.396 y[1] (analytic) = 1.4432274916557828633260995628722 y[1] (numeric) = 1.4432274916557828632617193216412 absolute error = 6.43802412310e-20 relative error = 4.4608519171941478468335945368460e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.397 y[1] (analytic) = 1.4428595761968092316862480045332 y[1] (numeric) = 1.4428595761968092316218245701351 absolute error = 6.44234343981e-20 relative error = 4.4649829727652236419976442226839e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.398 y[1] (analytic) = 1.442491183401579307357892003073 y[1] (numeric) = 1.4424911834015793072934253795435 absolute error = 6.44666235295e-20 relative error = 4.4691173347402671481104332952921e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.5MB, time=100.81 NO POLE x[1] = 0.399 y[1] (analytic) = 1.4421223134929172383983876228527 y[1] (numeric) = 1.4421223134929172383338778142271 absolute error = 6.45098086256e-20 relative error = 4.4732550090950957321919552761646e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.4 y[1] (analytic) = 1.4417529666935967820787766710982 y[1] (numeric) = 1.4417529666935967820142236814115 absolute error = 6.45529896867e-20 relative error = 4.4773960018088789151504204730820e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.401 y[1] (analytic) = 1.4413831432263413125637903905943 y[1] (numeric) = 1.4413831432263413124991942238813 absolute error = 6.45961667130e-20 relative error = 4.4815403188641580234719997390420e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.402 y[1] (analytic) = 1.4410128433138238285909648400028 y[1] (numeric) = 1.4410128433138238285263255002979 absolute error = 6.46393397049e-20 relative error = 4.4856879662676845611996092994016e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.403 y[1] (analytic) = 1.4406420671786669611488680448045 y[1] (numeric) = 1.4406420671786669610841855361419 absolute error = 6.46825086626e-20 relative error = 4.4898389500227013145740797871185e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.5MB, time=101.20 NO POLE x[1] = 0.404 y[1] (analytic) = 1.4402708150434429811544390018629 y[1] (numeric) = 1.4402708150434429810897133282761 absolute error = 6.47256735868e-20 relative error = 4.4939932761775552154022109239222e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.405 y[1] (analytic) = 1.4398990871306738071294386205938 y[1] (numeric) = 1.4398990871306738070646697861166 absolute error = 6.47688344772e-20 relative error = 4.4981509507215969852381086137428e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.406 y[1] (analytic) = 1.4395268836628310128760126837284 y[1] (numeric) = 1.4395268836628310128112006923938 absolute error = 6.48119913346e-20 relative error = 4.5023119797310016545144952914490e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.407 y[1] (analytic) = 1.4391542048623358351513669106394 y[1] (numeric) = 1.4391542048623358350865117664801 absolute error = 6.48551441593e-20 relative error = 4.5064763692577198881783236510961e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.408 y[1] (analytic) = 1.4387810509515591813415542062026 y[1] (numeric) = 1.4387810509515591812766559132512 absolute error = 6.48982929514e-20 relative error = 4.5106441253503131478959673601471e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.409 y[1] (analytic) = 1.4384074221528216371343741781564 y[1] (numeric) = 1.4384074221528216370694327404451 absolute error = 6.49414377113e-20 relative error = 4.5148152540887254553605295867085e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.5MB, time=101.60 NO POLE x[1] = 0.41 y[1] (analytic) = 1.4380333186883934741913850059127 y[1] (numeric) = 1.4380333186883934741264004274734 absolute error = 6.49845784393e-20 relative error = 4.5189897615565239206834608046555e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.411 y[1] (analytic) = 1.4376587407804946578190277437709 y[1] (numeric) = 1.4376587407804946577540000286352 absolute error = 6.50277151357e-20 relative error = 4.5231676538478747812933050051690e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.412 y[1] (analytic) = 1.4372836886512948546388631414766 y[1] (numeric) = 1.4372836886512948545737922936757 absolute error = 6.50708478009e-20 relative error = 4.5273489370745303637848231080043e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.413 y[1] (analytic) = 1.4369081625229134402569210650616 y[1] (numeric) = 1.4369081625229134401918070886264 absolute error = 6.51139764352e-20 relative error = 4.5315336173519488759857168096604e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.414 y[1] (analytic) = 1.4365321626174195069321626008953 y[1] (numeric) = 1.4365321626174195068670054998565 absolute error = 6.51571010388e-20 relative error = 4.5357217007993148878145180429819e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=968.9MB, alloc=4.5MB, time=102.00 x[1] = 0.415 y[1] (analytic) = 1.4361556891568318712440549258705 y[1] (numeric) = 1.4361556891568318711788547042584 absolute error = 6.52002216121e-20 relative error = 4.5399131935604489455657766519170e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.416 y[1] (analytic) = 1.4357787423631190817592590266406 y[1] (numeric) = 1.4357787423631190816940156884852 absolute error = 6.52433381554e-20 relative error = 4.5441081017829609561566845247470e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.417 y[1] (analytic) = 1.4354013224581994266974303508182 y[1] (numeric) = 1.4354013224581994266321439001491 absolute error = 6.52864506691e-20 relative error = 4.5483064316322042516426558081020e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.418 y[1] (analytic) = 1.4350234296639409415961324730392 y[1] (numeric) = 1.4350234296639409415308029138857 absolute error = 6.53295591535e-20 relative error = 4.5525081892773775933849745147475e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.419 y[1] (analytic) = 1.4346450642021614169748638587895 y[1] (numeric) = 1.4346450642021614169094911951807 absolute error = 6.53726636088e-20 relative error = 4.5567133808915459846245583509884e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.42 y[1] (analytic) = 1.4342662262946284059981978088856 y[1] (numeric) = 1.4342662262946284059327820448503 absolute error = 6.54157640353e-20 relative error = 4.5609220126656059302105049825545e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.5MB, time=102.41 NO POLE x[1] = 0.421 y[1] (analytic) = 1.4338869161630592321380356674927 y[1] (numeric) = 1.4338869161630592320725768070592 absolute error = 6.54588604335e-20 relative error = 4.5651340908152988129675407333779e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.422 y[1] (analytic) = 1.4335071340291209968349733765576 y[1] (numeric) = 1.433507134029120996769471423754 absolute error = 6.55019528036e-20 relative error = 4.5693496215463800992378326518610e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.423 y[1] (analytic) = 1.4331268801144305871587814595296 y[1] (numeric) = 1.4331268801144305870932364183837 absolute error = 6.55450411459e-20 relative error = 4.5735686110825329425283357678793e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.424 y[1] (analytic) = 1.4327461546405546834679985172322 y[1] (numeric) = 1.4327461546405546834024103917714 absolute error = 6.55881254608e-20 relative error = 4.5777910656654078116269458045444e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.425 y[1] (analytic) = 1.4323649578290097670686383187446 y[1] (numeric) = 1.4323649578290097670030071129961 absolute error = 6.56312057485e-20 relative error = 4.5820169915337178701615566213936e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.426 y[1] (analytic) = 1.431983289901262127872010570145 y[1] (numeric) = 1.4319832899012621278063362881356 absolute error = 6.56742820094e-20 relative error = 4.5862463949511842488693723080230e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=976.6MB, alloc=4.5MB, time=102.82 NO POLE x[1] = 0.427 y[1] (analytic) = 1.4316011510787278720516554439606 y[1] (numeric) = 1.4316011510787278719859380897168 absolute error = 6.57173542438e-20 relative error = 4.5904792821856297420763352097313e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.428 y[1] (analytic) = 1.4312185415827729296993919521629 y[1] (numeric) = 1.431218541582772929633631529711 absolute error = 6.57604224519e-20 relative error = 4.5947156595090002358851960093033e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.429 y[1] (analytic) = 1.4308354616347130624804802455413 y[1] (numeric) = 1.4308354616347130624146767589071 absolute error = 6.58034866342e-20 relative error = 4.5989555332253418684980391625974e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.43 y[1] (analytic) = 1.4304519114558138712878979222795 y[1] (numeric) = 1.4304519114558138712220513754886 absolute error = 6.58465467909e-20 relative error = 4.6031989096289152251646812444053e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.431 y[1] (analytic) = 1.4300678912672908038957304285555 y[1] (numeric) = 1.430067891267290803829840825633 absolute error = 6.58896029225e-20 relative error = 4.6074457950461542874653009057026e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=980.4MB, alloc=4.5MB, time=103.22 NO POLE x[1] = 0.432 y[1] (analytic) = 1.429683401290309162611675633976 y[1] (numeric) = 1.4296834012903091625457429789469 absolute error = 6.59326550291e-20 relative error = 4.6116961957867637991704531767928e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.433 y[1] (analytic) = 1.4292984417459841119286626646538 y[1] (numeric) = 1.4292984417459841118626869615428 absolute error = 6.59757031110e-20 relative error = 4.6159501181856914586659382549648e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.434 y[1] (analytic) = 1.4289130128553806861755850767261 y[1] (numeric) = 1.4289130128553806861095663295574 absolute error = 6.60187471687e-20 relative error = 4.6202075686031779796645746113135e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.435 y[1] (analytic) = 1.4285271148395137971671484531068 y[1] (numeric) = 1.4285271148395137971010866659044 absolute error = 6.60617872024e-20 relative error = 4.6244685533898062538725140120631e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.436 y[1] (analytic) = 1.4281407479193482418528325062615 y[1] (numeric) = 1.428140747919348241786727683049 absolute error = 6.61048232125e-20 relative error = 4.6287330789215149967900586608876e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.437 y[1] (analytic) = 1.4277539123157987099649677697833 y[1] (numeric) = 1.4277539123157987098988199145842 absolute error = 6.61478551991e-20 relative error = 4.6330011515646291663389117651934e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.5MB, time=103.62 NO POLE x[1] = 0.438 y[1] (analytic) = 1.4273666082497297916659269615448 y[1] (numeric) = 1.4273666082497297915997360783819 absolute error = 6.61908831629e-20 relative error = 4.6372727777389162765934524474638e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.439 y[1] (analytic) = 1.4269788359419559851944311011914 y[1] (numeric) = 1.4269788359419559851281971940876 absolute error = 6.62339071038e-20 relative error = 4.6415479638195657715646043758844e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.44 y[1] (analytic) = 1.4265905956132417045109704647401 y[1] (numeric) = 1.4265905956132417044446935377177 absolute error = 6.62769270224e-20 relative error = 4.6458267162422904559166626832069e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.441 y[1] (analytic) = 1.4262018874843012869423404590338 y[1] (numeric) = 1.4262018874843012868760205161149 absolute error = 6.63199429189e-20 relative error = 4.6501090414262971780902089872062e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.442 y[1] (analytic) = 1.4258127117757990008252924988026 y[1] (numeric) = 1.425812711775799000758929544009 absolute error = 6.63629547936e-20 relative error = 4.6543949458093483440650965895208e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=988.0MB, alloc=4.5MB, time=104.01 x[1] = 0.443 y[1] (analytic) = 1.4254230687083490531492999690712 y[1] (numeric) = 1.4254230687083490530828940064243 absolute error = 6.64059626469e-20 relative error = 4.6586844358478035315097255561887e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.444 y[1] (analytic) = 1.4250329585025155971984393556472 y[1] (numeric) = 1.4250329585025155971319903891683 absolute error = 6.64489664789e-20 relative error = 4.6629775179885917191713585188423e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.445 y[1] (analytic) = 1.4246423813788127401923866264207 y[1] (numeric) = 1.4246423813788127401258946601305 absolute error = 6.64919662902e-20 relative error = 4.6672741987253691504153120283641e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.446 y[1] (analytic) = 1.4242513375577045509265289461933 y[1] (numeric) = 1.4242513375577045508599939841122 absolute error = 6.65349620811e-20 relative error = 4.6715744845424299222395135305281e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.447 y[1] (analytic) = 1.4238598272596050674111918077552 y[1] (numeric) = 1.4238598272596050673446138539036 absolute error = 6.65779538516e-20 relative error = 4.6758783819147095562072469038571e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.448 y[1] (analytic) = 1.4234678507048783045099816619181 y[1] (numeric) = 1.4234678507048783044433607203157 absolute error = 6.66209416024e-20 relative error = 4.6801858973780394828479199586100e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.5MB, time=104.42 NO POLE x[1] = 0.449 y[1] (analytic) = 1.4230754081138382615772441292046 y[1] (numeric) = 1.4230754081138382615105802038709 absolute error = 6.66639253337e-20 relative error = 4.6844970374449229473955744692681e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.45 y[1] (analytic) = 1.4226824997067489300946378758921 y[1] (numeric) = 1.4226824997067489300279309708465 absolute error = 6.67069050456e-20 relative error = 4.6888118086326352362290365769714e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.451 y[1] (analytic) = 1.4222891257038243013068242371001 y[1] (numeric) = 1.4222891257038243012400743563615 absolute error = 6.67498807386e-20 relative error = 4.6931302174984013209882650428355e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.452 y[1] (analytic) = 1.4218952863252283738562726696022 y[1] (numeric) = 1.4218952863252283737894798171891 absolute error = 6.67928524131e-20 relative error = 4.6974522706043033022362145408617e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.453 y[1] (analytic) = 1.4215009817910751614171821170401 y[1] (numeric) = 1.421500981791075161350346296971 absolute error = 6.68358200691e-20 relative error = 4.7017779744961992607148736021091e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.454 y[1] (analytic) = 1.4211062123214287003285183702111 y[1] (numeric) = 1.4211062123214287002616395865039 absolute error = 6.68787837072e-20 relative error = 4.7061073357740850093867787904345e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.5MB, time=104.81 NO POLE x[1] = 0.455 y[1] (analytic) = 1.4207109781363030572261675050888 y[1] (numeric) = 1.4207109781363030571592457617611 absolute error = 6.69217433277e-20 relative error = 4.7104403610288373360554388998439e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.456 y[1] (analytic) = 1.420315279455662336674205481237 y[1] (numeric) = 1.4203152794556623366072407823062 absolute error = 6.69646989308e-20 relative error = 4.7147770568562993466008650103873e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.457 y[1] (analytic) = 1.4199191164994206887952839832659 y[1] (numeric) = 1.419919116499420688728276332749 absolute error = 6.70076505169e-20 relative error = 4.7191174298784319787017243295585e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.458 y[1] (analytic) = 1.4195224894874423169001325879743 y[1] (numeric) = 1.4195224894874423168330819898881 absolute error = 6.70505980862e-20 relative error = 4.7234614867151886236351156622532e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.459 y[1] (analytic) = 1.4191253986395414851161773398159 y[1] (numeric) = 1.4191253986395414850490837981767 absolute error = 6.70935416392e-20 relative error = 4.7278092340197619809838852615402e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.5MB, time=105.21 NO POLE x[1] = 0.46 y[1] (analytic) = 1.4187278441754825260152758173194 y[1] (numeric) = 1.4187278441754825259481393361434 absolute error = 6.71364811760e-20 relative error = 4.7321606784293073271345929936893e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.461 y[1] (analytic) = 1.4183298263149798482405687730886 y[1] (numeric) = 1.4183298263149798481733893563916 absolute error = 6.71794166970e-20 relative error = 4.7365158266142906055928761025006e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.462 y[1] (analytic) = 1.4179313452776979441324484299987 y[1] (numeric) = 1.4179313452776979440652260817959 absolute error = 6.72223482028e-20 relative error = 4.7408746852714994085348583104832e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.463 y[1] (analytic) = 1.4175324012832513973536435162003 y[1] (numeric) = 1.4175324012832513972863782405069 absolute error = 6.72652756934e-20 relative error = 4.7452372610676607137588871247939e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.464 y[1] (analytic) = 1.4171329945512048905134211215382 y[1] (numeric) = 1.4171329945512048904461129223692 absolute error = 6.73081991690e-20 relative error = 4.7496035606958673981338968813556e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.465 y[1] (analytic) = 1.416733125301073212790905457981 y[1] (numeric) = 1.4167331253010732127235543393508 absolute error = 6.73511186302e-20 relative error = 4.7539735908897491879197118469199e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1003.3MB, alloc=4.5MB, time=105.61 NO POLE x[1] = 0.466 y[1] (analytic) = 1.4163327937523212675575136066535 y[1] (numeric) = 1.4163327937523212674901195725764 absolute error = 6.73940340771e-20 relative error = 4.7583473583600023895511516004985e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.467 y[1] (analytic) = 1.4159320001243640799985083340603 y[1] (numeric) = 1.4159320001243640799310713885501 absolute error = 6.74369455102e-20 relative error = 4.7627248698579367535122466046532e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.468 y[1] (analytic) = 1.4155307446365668047336680600752 y[1] (numeric) = 1.4155307446365668046661882071455 absolute error = 6.74798529297e-20 relative error = 4.7671061321260984788940862863884e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.469 y[1] (analytic) = 1.4151290275082447334370740602732 y[1] (numeric) = 1.4151290275082447333695513039372 absolute error = 6.75227563360e-20 relative error = 4.7714911519336072182682649151052e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.47 y[1] (analytic) = 1.4147268489586633024560149851678 y[1] (numeric) = 1.4147268489586633023884493294384 absolute error = 6.75656557294e-20 relative error = 4.7758799360550052757379260328637e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1007.1MB, alloc=4.5MB, time=106.00 x[1] = 0.471 y[1] (analytic) = 1.4143242092070381004290087789152 y[1] (numeric) = 1.4143242092070381003614002278051 absolute error = 6.76085511101e-20 relative error = 4.7802724912702823316194506964253e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.472 y[1] (analytic) = 1.413921108472534875902942080038 y[1] (numeric) = 1.4139211084725348758352906375593 absolute error = 6.76514424787e-20 relative error = 4.7846688244002628687154064431489e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.473 y[1] (analytic) = 1.4135175469742695449493271867132 y[1] (numeric) = 1.4135175469742695448816328568782 absolute error = 6.76943298350e-20 relative error = 4.7890689422217868818238383592625e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.474 y[1] (analytic) = 1.4131135249313081987796766691689 y[1] (numeric) = 1.4131135249313081987119394559891 absolute error = 6.77372131798e-20 relative error = 4.7934728515950424324732035186415e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.475 y[1] (analytic) = 1.4127090425626671113599957117173 y[1] (numeric) = 1.4127090425626671112922156192041 absolute error = 6.77800925132e-20 relative error = 4.7978805593433657693145761707867e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.476 y[1] (analytic) = 1.4123041000873127470243922669572 y[1] (numeric) = 1.4123041000873127469565692991215 absolute error = 6.78229678357e-20 relative error = 4.8022920723310926358928723765753e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.5MB, time=106.40 NO POLE x[1] = 0.477 y[1] (analytic) = 1.4118986977241617680878051046616 y[1] (numeric) = 1.4118986977241617680199392655143 absolute error = 6.78658391473e-20 relative error = 4.8067073973998902786848902422885e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.478 y[1] (analytic) = 1.4114928356920810424578498378687 y[1] (numeric) = 1.4114928356920810423899411314202 absolute error = 6.79087064485e-20 relative error = 4.8111265414395890488553982096923e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.479 y[1] (analytic) = 1.4110865142098876512457830086804 y[1] (numeric) = 1.4110865142098876511778314389409 absolute error = 6.79515697395e-20 relative error = 4.8155495113315749707525286432678e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.48 y[1] (analytic) = 1.4106797334963488963765843162729 y[1] (numeric) = 1.4106797334963488963085898872519 absolute error = 6.79944290210e-20 relative error = 4.8199763140055050865199399073823e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.481 y[1] (analytic) = 1.41027249377018230819815706961 y[1] (numeric) = 1.4102724937701823081301197853171 absolute error = 6.80372842929e-20 relative error = 4.8244069563472136123364475390118e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.482 y[1] (analytic) = 1.4098647952500556530896469473526 y[1] (numeric) = 1.409864795250055653021566811797 absolute error = 6.80801355556e-20 relative error = 4.8288414452908733696917625280383e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.5MB, time=106.80 NO POLE x[1] = 0.483 y[1] (analytic) = 1.4094566381545869410688791474414 y[1] (numeric) = 1.4094566381545869410007561646319 absolute error = 6.81229828095e-20 relative error = 4.8332797877836083257188438796488e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.484 y[1] (analytic) = 1.4090480227023444333989140088304 y[1] (numeric) = 1.4090480227023444333307481827755 absolute error = 6.81658260549e-20 relative error = 4.8377219907784327377915692906020e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.485 y[1] (analytic) = 1.4086389491118466501937211878401 y[1] (numeric) = 1.4086389491118466501255125225481 absolute error = 6.82086652920e-20 relative error = 4.8421680612342770898889298664284e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.486 y[1] (analytic) = 1.4082294176015623780229724715918 y[1] (numeric) = 1.4082294176015623779547209710706 absolute error = 6.82515005212e-20 relative error = 4.8466180061373174303310821532191e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.487 y[1] (analytic) = 1.4078194283899106775159533109796 y[1] (numeric) = 1.4078194283899106774476589792368 absolute error = 6.82943317428e-20 relative error = 4.8510718324797228861081423341015e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.5MB, time=107.20 NO POLE x[1] = 0.488 y[1] (analytic) = 1.4074089816952608909645931556291 y[1] (numeric) = 1.4074089816952608908962559966719 absolute error = 6.83371589572e-20 relative error = 4.8555295472738923788759352407765e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.489 y[1] (analytic) = 1.4069980777359326499256146732859 y[1] (numeric) = 1.4069980777359326498572346911211 absolute error = 6.83799821648e-20 relative error = 4.8599911575453943060453539647153e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.49 y[1] (analytic) = 1.4065867167301958828218019360697 y[1] (numeric) = 1.4065867167301958827533791347042 absolute error = 6.84228013655e-20 relative error = 4.8644566702974562765483602094616e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.491 y[1] (analytic) = 1.4061748988962708225423876560263 y[1] (numeric) = 1.4061748988962708224739220394662 absolute error = 6.84656165601e-20 relative error = 4.8689260926105108200259481027652e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.492 y[1] (analytic) = 1.4057626244523280140425595523962 y[1] (numeric) = 1.4057626244523280139740511246476 absolute error = 6.85084277486e-20 relative error = 4.8733994315213952604730715794502e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.493 y[1] (analytic) = 1.4053498936164883219420859330229 y[1] (numeric) = 1.4053498936164883218735346980914 absolute error = 6.85512349315e-20 relative error = 4.8778766941158090529730700173962e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.5MB, time=107.59 NO POLE x[1] = 0.494 y[1] (analytic) = 1.4049367066068229381230605723061 y[1] (numeric) = 1.4049367066068229380544665341972 absolute error = 6.85940381089e-20 relative error = 4.8823578874643433522482030168506e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.495 y[1] (analytic) = 1.4045230636413533893267669681077 y[1] (numeric) = 1.4045230636413533892581301308264 absolute error = 6.86368372813e-20 relative error = 4.8868430186794352887476188036959e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.496 y[1] (analytic) = 1.4041089649380515447496620600051 y[1] (numeric) = 1.4041089649380515446809824275561 absolute error = 6.86796324490e-20 relative error = 4.8913320948727155711834402764821e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.497 y[1] (analytic) = 1.4036944107148396236384794912854 y[1] (numeric) = 1.4036944107148396235697570676733 absolute error = 6.87224236121e-20 relative error = 4.8958251231550250396480879310819e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.498 y[1] (analytic) = 1.4032794011895902028844524970643 y[1] (numeric) = 1.4032794011895902028156872862931 absolute error = 6.87652107712e-20 relative error = 4.9003221106863143762742464510464e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1026.1MB, alloc=4.5MB, time=107.99 x[1] = 0.499 y[1] (analytic) = 1.4028639365801262246166565009068 y[1] (numeric) = 1.4028639365801262245478485069802 absolute error = 6.88079939266e-20 relative error = 4.9048230646187083343127937574005e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.5 y[1] (analytic) = 1.4024480171042210037944715023227 y[1] (numeric) = 1.4024480171042210037256207292444 absolute error = 6.88507730783e-20 relative error = 4.9093279920965119869447569425622e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.501 y[1] (analytic) = 1.4020316429795982357991643375026 y[1] (numeric) = 1.4020316429795982357302707892758 absolute error = 6.88935482268e-20 relative error = 4.9138369003132769819814663714631e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 36.57 Order of pole = 2.546 x[1] = 0.502 y[1] (analytic) = 1.4016148144239320040245908956512 y[1] (numeric) = 1.4016148144239320039556545762785 absolute error = 6.89363193727e-20 relative error = 4.9183497964833540310190192855419e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.503 y[1] (analytic) = 1.4011975316548467874670183732711 y[1] (numeric) = 1.4011975316548467873980392867552 absolute error = 6.89790865159e-20 relative error = 4.9228666877848477770231605507821e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.504 y[1] (analytic) = 1.4007797948899174683140676487446 y[1] (numeric) = 1.4007797948899174682450457990878 absolute error = 6.90218496568e-20 relative error = 4.9273875814452472878246477053533e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1030.0MB, alloc=4.5MB, time=108.39 NO POLE x[1] = 0.505 y[1] (analytic) = 1.4003616043466693395327758595504 y[1] (numeric) = 1.4003616043466693394637112507545 absolute error = 6.90646087959e-20 relative error = 4.9319124847129535810174275986938e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.506 y[1] (analytic) = 1.3999429602425781124567792644485 y[1] (numeric) = 1.399942960242578112387671900515 absolute error = 6.91073639335e-20 relative error = 4.9364414048358994296177722645553e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.507 y[1] (analytic) = 1.3995238627950699243726164729612 y[1] (numeric) = 1.3995238627950699243034663578916 absolute error = 6.91501150696e-20 relative error = 4.9409743490544214086220869764966e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.508 y[1] (analytic) = 1.3991043122215213461051521244694 y[1] (numeric) = 1.3991043122215213460359592622647 absolute error = 6.91928622047e-20 relative error = 4.9455113246584459630936989333015e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.509 y[1] (analytic) = 1.3986843087392593896021210992365 y[1] (numeric) = 1.3986843087392593895328854938973 absolute error = 6.92356053392e-20 relative error = 4.9500523389446843850722608958376e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.51 y[1] (analytic) = 1.3982638525655615155177933436685 y[1] (numeric) = 1.3982638525655615154485149991952 absolute error = 6.92783444733e-20 relative error = 4.9545973992095094124785773982834e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.5MB, time=108.78 NO POLE x[1] = 0.511 y[1] (analytic) = 1.3978429439176556407957593921105 y[1] (numeric) = 1.397842943917655640726438312503 absolute error = 6.93210796075e-20 relative error = 4.9591465127847422476921727794268e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.512 y[1] (analytic) = 1.3974215830127201462508366674728 y[1] (numeric) = 1.3974215830127201461814728567308 absolute error = 6.93638107420e-20 relative error = 4.9636996869947878957557177710382e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.513 y[1] (analytic) = 1.3969997700678838841500966429751 y[1] (numeric) = 1.3969997700678838840806901050982 absolute error = 6.94065378769e-20 relative error = 4.9682569291709585766018012625090e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.514 y[1] (analytic) = 1.3965775053002261857930129472907 y[1] (numeric) = 1.3965775053002261857235636862778 absolute error = 6.94492610129e-20 relative error = 4.9728182467016248734085639427492e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.515 y[1] (analytic) = 1.3961547889267768690907304953623 y[1] (numeric) = 1.3961547889267768690212385152123 absolute error = 6.94919801500e-20 relative error = 4.9773836469392074078725140906764e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.5MB, time=109.18 NO POLE x[1] = 0.516 y[1] (analytic) = 1.395731621164516246144455727162 y[1] (numeric) = 1.3957316211645162460749210318732 absolute error = 6.95346952888e-20 relative error = 4.9819531372932818087847241032479e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.517 y[1] (analytic) = 1.3953080022303751308229680366528 y[1] (numeric) = 1.3953080022303751307533906302235 absolute error = 6.95774064293e-20 relative error = 4.9865267251446811765238967621435e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.518 y[1] (analytic) = 1.3948839323412348463392524732114 y[1] (numeric) = 1.3948839323412348462696323596393 absolute error = 6.96201135721e-20 relative error = 4.9911044179314994438433180194461e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.519 y[1] (analytic) = 1.3944594117139272328262537977566 y[1] (numeric) = 1.3944594117139272327565909810392 absolute error = 6.96628167174e-20 relative error = 4.9956862230774844393732248248688e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.52 y[1] (analytic) = 1.3940344405652346549117519758292 y[1] (numeric) = 1.3940344405652346548420464599639 absolute error = 6.97055158653e-20 relative error = 5.0002721480135547425590960199982e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.521 y[1] (analytic) = 1.3936090191118900092923591898581 y[1] (numeric) = 1.3936090191118900092226109788416 absolute error = 6.97482110165e-20 relative error = 5.0048622002280583130393082617467e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.5MB, time=109.58 NO POLE x[1] = 0.522 y[1] (analytic) = 1.3931831475705767323066384528404 y[1] (numeric) = 1.3931831475705767322368475506694 absolute error = 6.97909021710e-20 relative error = 5.0094563871735671691798661785653e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.523 y[1] (analytic) = 1.3927568261579288075073439056623 y[1] (numeric) = 1.392756826157928807437510316333 absolute error = 6.98335893293e-20 relative error = 5.0140547163530012509662595030544e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.524 y[1] (analytic) = 1.3923300550905307732327828802727 y[1] (numeric) = 1.3923300550905307731629066077812 absolute error = 6.98762724915e-20 relative error = 5.0186571952550841714921451011570e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.525 y[1] (analytic) = 1.3919028345849177301772998109242 y[1] (numeric) = 1.3919028345849177301073808592659 absolute error = 6.99189516583e-20 relative error = 5.0232638314261841079349867905293e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.526 y[1] (analytic) = 1.3914751648575753489608820756805 y[1] (numeric) = 1.3914751648575753488909204488507 absolute error = 6.99616268298e-20 relative error = 5.0278746323841814956041636336281e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.527 memory used=1045.2MB, alloc=4.5MB, time=109.99 y[1] (analytic) = 1.3910470461249398776978878503913 y[1] (numeric) = 1.3910470461249398776278835523852 absolute error = 7.00042980061e-20 relative error = 5.0324896056615768580933751759766e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.528 y[1] (analytic) = 1.3906184786033981495648960573237 y[1] (numeric) = 1.3906184786033981494948490921358 absolute error = 7.00469651879e-20 relative error = 5.0371087588486781891830847161848e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.529 y[1] (analytic) = 1.3901894625092875903676784906329 y[1] (numeric) = 1.3901894625092875902975888622577 absolute error = 7.00896283752e-20 relative error = 5.0417320995001963320638150233631e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.53 y[1] (analytic) = 1.3897599980588962261072942008533 y[1] (numeric) = 1.3897599980588962260371619132849 absolute error = 7.01322875684e-20 relative error = 5.0463596352143591212399339921652e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.531 y[1] (analytic) = 1.3893300854684626905453062205783 y[1] (numeric) = 1.3893300854684626904751312778104 absolute error = 7.01749427679e-20 relative error = 5.0509913736042065130981752298589e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.532 y[1] (analytic) = 1.388899724954176232768120713495 y[1] (numeric) = 1.3888997249541762326979031195211 absolute error = 7.02175939739e-20 relative error = 5.0556273222832324267523604031649e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.5MB, time=110.38 NO POLE x[1] = 0.533 y[1] (analytic) = 1.3884689167321767247504486289324 y[1] (numeric) = 1.3884689167321767246801883877455 absolute error = 7.02602411869e-20 relative error = 5.0602674889014151495884007948026e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.534 y[1] (analytic) = 1.388037661018554668917889944074 y[1] (numeric) = 1.3880376610185546688475870596669 absolute error = 7.03028844071e-20 relative error = 5.0649118811020663199050360651819e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.535 y[1] (analytic) = 1.3876059580293512057086405759815 y[1] (numeric) = 1.3876059580293512056382950523468 absolute error = 7.03455236347e-20 relative error = 5.0695605065434594269160977497197e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.536 y[1] (analytic) = 1.3871738079805581211343220455683 y[1] (numeric) = 1.3871738079805581210639338866981 absolute error = 7.03881588702e-20 relative error = 5.0742133729204986847148742388504e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.537 y[1] (analytic) = 1.3867412110881178543399339756538 y[1] (numeric) = 1.3867412110881178542695031855401 absolute error = 7.04307901137e-20 relative error = 5.0788704879143170067184055242625e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.538 y[1] (analytic) = 1.386308167567923505162929505228 y[1] (numeric) = 1.3863081675679235050924560878622 absolute error = 7.04734173658e-20 relative error = 5.0835318592571941242002581997912e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.5MB, time=110.78 NO POLE x[1] = 0.539 y[1] (analytic) = 1.3858746776358188416914137020418 y[1] (numeric) = 1.3858746776358188416208976614152 absolute error = 7.05160406266e-20 relative error = 5.0881974946604989180041193746192e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.54 y[1] (analytic) = 1.3854407415075983078214650556406 y[1] (numeric) = 1.3854407415075983077509063957441 absolute error = 7.05586598965e-20 relative error = 5.0928674018724191140633266710450e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.541 y[1] (analytic) = 1.3850063593990070308135801329442 y[1] (numeric) = 1.3850063593990070307429788577684 absolute error = 7.06012751758e-20 relative error = 5.0975415886491572897279090936225e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.542 y[1] (analytic) = 1.3845715315257408288482414784756 y[1] (numeric) = 1.3845715315257408287775975920108 absolute error = 7.06438864648e-20 relative error = 5.1022200627621850150819562052200e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.543 y[1] (analytic) = 1.384136258103446218580608841332 y[1] (numeric) = 1.3841362581034462185099223475682 absolute error = 7.06864937638e-20 relative error = 5.1069028319982859760987310233502e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1056.7MB, alloc=4.5MB, time=111.18 NO POLE x[1] = 0.544 y[1] (analytic) = 1.3837005393477204226943338109849 y[1] (numeric) = 1.3837005393477204226236047139118 absolute error = 7.07290970731e-20 relative error = 5.1115899041595992309471340761811e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.545 y[1] (analytic) = 1.383264375474111377454497943991 y[1] (numeric) = 1.3832643754741113773837262475979 absolute error = 7.07716963931e-20 relative error = 5.1162812870708918759959735319578e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.546 y[1] (analytic) = 1.3828277666981177402596744636877 y[1] (numeric) = 1.3828277666981177401888601719636 absolute error = 7.08142917241e-20 relative error = 5.1209769885651508655208070807141e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.547 y[1] (analytic) = 1.3823907132351888971931136149413 y[1] (numeric) = 1.3823907132351888971222567318752 absolute error = 7.08568830661e-20 relative error = 5.1256770164691475868794644650074e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.548 y[1] (analytic) = 1.3819532153007249705730517560117 y[1] (numeric) = 1.3819532153007249705021522855918 absolute error = 7.08994704199e-20 relative error = 5.1303813786830447880733854355076e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.549 y[1] (analytic) = 1.3815152731100768265021442695835 y[1] (numeric) = 1.3815152731100768264312022157979 absolute error = 7.09420537856e-20 relative error = 5.1350900830719557161586346980205e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.5MB, time=111.58 NO POLE x[1] = 0.55 y[1] (analytic) = 1.3810768868785460824160223750185 y[1] (numeric) = 1.3810768868785460823450377418551 absolute error = 7.09846331634e-20 relative error = 5.1398031375238337665864430044092e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.551 y[1] (analytic) = 1.3806380568213851146309739238678 y[1] (numeric) = 1.380638056821385114559946715314 absolute error = 7.10272085538e-20 relative error = 5.1445205499640141734195447995378e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.552 y[1] (analytic) = 1.3801987831537970658907482606798 y[1] (numeric) = 1.3801987831537970658196784807229 absolute error = 7.10697799569e-20 relative error = 5.1492423283045755579008586949087e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.553 y[1] (analytic) = 1.3797590660909358529124852311356 y[1] (numeric) = 1.3797590660909358528413728837623 absolute error = 7.11123473733e-20 relative error = 5.1539684805095670814318802258883e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.554 y[1] (analytic) = 1.3793189058479061739317684195312 y[1] (numeric) = 1.3793189058479061738606135087281 absolute error = 7.11549108031e-20 relative error = 5.1586990145226112565538630385769e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.555 y[1] (analytic) = 1.3788783026397635162468026976267 y[1] (numeric) = 1.37887830263976351617560522738 absolute error = 7.11974702467e-20 relative error = 5.1634339383249090735994332846481e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.5MB, time=111.98 NO POLE x[1] = 0.556 y[1] (analytic) = 1.3784372566815141637617161668696 y[1] (numeric) = 1.3784372566815141636904761411652 absolute error = 7.12400257044e-20 relative error = 5.1681732599063012575737393699442e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.557 y[1] (analytic) = 1.3779957681881152045289865759976 y[1] (numeric) = 1.3779957681881152044577039988211 absolute error = 7.12825771765e-20 relative error = 5.1729169872725586359912199553079e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.558 y[1] (analytic) = 1.377553837374474538290992296017 y[1] (numeric) = 1.3775538373744745382196671713537 absolute error = 7.13251246633e-20 relative error = 5.1776651284454273140687620796181e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.559 y[1] (analytic) = 1.3771114644554508840206879345476 y[1] (numeric) = 1.3771114644554508839493202663824 absolute error = 7.13676681652e-20 relative error = 5.1824176914699355672893919561878e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.56 y[1] (analytic) = 1.3766686496458537874614046715186 y[1] (numeric) = 1.3766686496458537873899944638363 absolute error = 7.14102076823e-20 relative error = 5.1871746843853953296976519056796e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.5MB, time=112.37 NO POLE x[1] = 0.561 y[1] (analytic) = 1.3762253931604436286657753981937 y[1] (numeric) = 1.3762253931604436285943226549785 absolute error = 7.14527432152e-20 relative error = 5.1919361152835427516799341731651e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.562 y[1] (analytic) = 1.375781695213931629533784741495 y[1] (numeric) = 1.3757816952139316294622894667309 absolute error = 7.14952747641e-20 relative error = 5.1967019922432250958230268222029e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.563 y[1] (analytic) = 1.3753375560209798613499440555926 y[1] (numeric) = 1.3753375560209798612784062532634 absolute error = 7.15378023292e-20 relative error = 5.2014723233594835621869302476493e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.564 y[1] (analytic) = 1.3748929757962012523195914627178 y[1] (numeric) = 1.3748929757962012522480111368069 absolute error = 7.15803259109e-20 relative error = 5.2062471167581458664096395929661e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.565 y[1] (analytic) = 1.3744479547541595951043170251509 y[1] (numeric) = 1.3744479547541595950326941796413 absolute error = 7.16228455096e-20 relative error = 5.2110263805813446281596039981203e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.566 y[1] (analytic) = 1.37400249310936955435651313033 y[1] (numeric) = 1.3740024931093695542848477692046 absolute error = 7.16653611254e-20 relative error = 5.2158101229657297071898749389639e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.5MB, time=112.77 NO POLE x[1] = 0.567 y[1] (analytic) = 1.3735565910762966742530501710209 y[1] (numeric) = 1.3735565910762966741813422982622 absolute error = 7.17078727587e-20 relative error = 5.2205983520861614853733184200579e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.568 y[1] (analytic) = 1.3731102488693573860280776024785 y[1] (numeric) = 1.3731102488693573859563272220685 absolute error = 7.17503804100e-20 relative error = 5.2253910761412274253679731514319e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.569 y[1] (analytic) = 1.3726634667029190155049504585274 y[1] (numeric) = 1.3726634667029190154331575744481 absolute error = 7.17928840793e-20 relative error = 5.2301883033095900775814162454527e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.57 y[1] (analytic) = 1.3722162447912997906272814084825 y[1] (numeric) = 1.3722162447912997905554460247153 absolute error = 7.18353837672e-20 relative error = 5.2349900418301369969527262437865e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.571 y[1] (analytic) = 1.3717685833487688489891184368202 y[1] (numeric) = 1.3717685833487688489172405573463 absolute error = 7.18778794739e-20 relative error = 5.2397962999292004309857059604942e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.5MB, time=113.17 NO POLE x[1] = 0.572 y[1] (analytic) = 1.3713204825895462453642482275097 y[1] (numeric) = 1.37132048258954624529232785631 absolute error = 7.19203711997e-20 relative error = 5.2446070858570182021989688891621e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.573 y[1] (analytic) = 1.3708719427278029592346253349034 y[1] (numeric) = 1.3708719427278029591626624759586 absolute error = 7.19628589448e-20 relative error = 5.2494224078732036936512994621158e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.574 y[1] (analytic) = 1.3704229639776609023179272230817 y[1] (numeric) = 1.370422963977660902245921880372 absolute error = 7.20053427097e-20 relative error = 5.2542422742759694673434610552228e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.575 y[1] (analytic) = 1.3699735465531929260942352555379 y[1] (numeric) = 1.3699735465531929260221874330432 absolute error = 7.20478224947e-20 relative error = 5.2590666933657137255205704113361e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.576 y[1] (analytic) = 1.3695236906684228293318417170864 y[1] (numeric) = 1.3695236906684228292597514187865 absolute error = 7.20902982999e-20 relative error = 5.2638956734450442114281522164304e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.577 y[1] (analytic) = 1.3690733965373253656121829498684 y[1] (numeric) = 1.3690733965373253655400501797425 absolute error = 7.21327701259e-20 relative error = 5.2687292228699316161496877477217e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1079.6MB, alloc=4.5MB, time=113.56 NO POLE x[1] = 0.578 y[1] (analytic) = 1.3686226643738262508538986853214 y[1] (numeric) = 1.3686226643738262507817234473486 absolute error = 7.21752379728e-20 relative error = 5.2735673499767515825184823489278e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.579 y[1] (analytic) = 1.3681714943918021708360176539784 y[1] (numeric) = 1.3681714943918021707637999521374 absolute error = 7.22177018410e-20 relative error = 5.2784100631407450436902430293892e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.58 y[1] (analytic) = 1.3677198868050807887202695549477 y[1] (numeric) = 1.3677198868050807886480093932169 absolute error = 7.22601617308e-20 relative error = 5.2832573707468569985732756860445e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.581 y[1] (analytic) = 1.3672678418274407525725234669262 y[1] (numeric) = 1.3672678418274407525002208492836 absolute error = 7.23026176426e-20 relative error = 5.2881092812044007379491086330043e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.582 y[1] (analytic) = 1.3668153596726117028833527825852 y[1] (numeric) = 1.3668153596726117028110077130088 absolute error = 7.23450695764e-20 relative error = 5.2929658029105372805523111595821e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.583 y[1] (analytic) = 1.3663624405542742800877267481692 y[1] (numeric) = 1.3663624405542742800153392306362 memory used=1083.4MB, alloc=4.5MB, time=113.95 absolute error = 7.23875175330e-20 relative error = 5.2978269443381002074366434580603e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.584 y[1] (analytic) = 1.3659090846860601320838286901314 y[1] (numeric) = 1.3659090846860601320113987286191 absolute error = 7.24299615123e-20 relative error = 5.3026927139112824996001487223864e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.585 y[1] (analytic) = 1.3654552922815519217510010106362 y[1] (numeric) = 1.3654552922815519216785286091213 absolute error = 7.24724015149e-20 relative error = 5.3075631201227534615719221511190e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.586 y[1] (analytic) = 1.365001063554283334466817033739 y[1] (numeric) = 1.3650010635542833343943021961981 absolute error = 7.25148375409e-20 relative error = 5.3124381714458811789087791724821e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.587 y[1] (analytic) = 1.3645463987177390856232797840585 y[1] (numeric) = 1.3645463987177390855507225144677 absolute error = 7.25572695908e-20 relative error = 5.3173178764006770911016381529291e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.588 y[1] (analytic) = 1.3640912979853549281421477797421 y[1] (numeric) = 1.3640912979853549280695480820775 absolute error = 7.25996976646e-20 relative error = 5.3222022434879164769057142945604e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.5MB, time=114.36 NO POLE x[1] = 0.589 y[1] (analytic) = 1.3636357615705176599893879215249 y[1] (numeric) = 1.363635761570517659916745799762 absolute error = 7.26421217629e-20 relative error = 5.3270912812697938241149477375024e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.59 y[1] (analytic) = 1.3631797896865651316887555596704 y[1] (numeric) = 1.3631797896865651316160710177844 absolute error = 7.26845418860e-20 relative error = 5.3319849983040241638125758336663e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.591 y[1] (analytic) = 1.3627233825467862538345018205794 y[1] (numeric) = 1.3627233825467862537617748625454 absolute error = 7.27269580340e-20 relative error = 5.3368834031511947131464358583785e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.592 y[1] (analytic) = 1.3622665403644210046032082748463 y[1] (numeric) = 1.3622665403644210045304389046388 absolute error = 7.27693702075e-20 relative error = 5.3417865044261755087085621697088e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.593 y[1] (analytic) = 1.3618092633526604372647490285306 y[1] (numeric) = 1.361809263352660437191937250124 absolute error = 7.28117784066e-20 relative error = 5.3466943107247996788364085565114e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.594 y[1] (analytic) = 1.3613515517246466876923803194142 y[1] (numeric) = 1.3613515517246466876195261367826 absolute error = 7.28541826316e-20 relative error = 5.3516068306752719425367936920318e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.5MB, time=114.77 NO POLE x[1] = 0.595 y[1] (analytic) = 1.3608934056934729818719576999995 y[1] (numeric) = 1.3608934056934729817990611171165 absolute error = 7.28965828830e-20 relative error = 5.3565240729382440343816583268259e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.596 y[1] (analytic) = 1.360434825472183643410280889002 y[1] (numeric) = 1.360434825472183643337341909841 absolute error = 7.29389791610e-20 relative error = 5.3614460461701374573175451072668e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.597 y[1] (analytic) = 1.3599758112737741010425663730844 y[1] (numeric) = 1.3599758112737741009695850016185 absolute error = 7.29813714659e-20 relative error = 5.3663727590525697387062320942075e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.598 y[1] (analytic) = 1.3595163633111908961390478405706 y[1] (numeric) = 1.3595163633111908960660240807726 absolute error = 7.30237597980e-20 relative error = 5.3713042202850625242927228855803e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.599 y[1] (analytic) = 1.3590564817973316902107045288734 y[1] (numeric) = 1.3590564817973316901376383847157 absolute error = 7.30661441577e-20 relative error = 5.3762404385924510551066211134648e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.5MB, time=115.17 NO POLE x[1] = 0.6 y[1] (analytic) = 1.3585961669450452724141175673624 y[1] (numeric) = 1.3585961669450452723410090428172 absolute error = 7.31085245452e-20 relative error = 5.3811814227028666121467478710952e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.601 y[1] (analytic) = 1.3581354189671315670554543973934 y[1] (numeric) = 1.3581354189671315669823034964323 absolute error = 7.31509009611e-20 relative error = 5.3861271813919415646227067736376e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.602 y[1] (analytic) = 1.3576742380763416410935813512109 y[1] (numeric) = 1.3576742380763416410203880778058 absolute error = 7.31932734051e-20 relative error = 5.3910777233871592983217347039328e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.603 y[1] (analytic) = 1.3572126244853777116423044714355 y[1] (numeric) = 1.3572126244853777115690688295574 absolute error = 7.32356418781e-20 relative error = 5.3960330575225225893518438815922e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.604 y[1] (analytic) = 1.3567505784068931534717386528316 y[1] (numeric) = 1.3567505784068931533984606464514 absolute error = 7.32780063802e-20 relative error = 5.4009931925913451484721711903345e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.605 y[1] (analytic) = 1.3562881000534925065088051880551 y[1] (numeric) = 1.3562881000534925064354848211434 absolute error = 7.33203669117e-20 relative error = 5.4059581374199344144859309663526e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.5MB, time=115.58 NO POLE x[1] = 0.606 y[1] (analytic) = 1.3558251896377314833368577990666 y[1] (numeric) = 1.3558251896377314832634950755937 absolute error = 7.33627234729e-20 relative error = 5.4109279008529180848256672426354e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.607 y[1] (analytic) = 1.3553618473721169766944372358929 y[1] (numeric) = 1.3553618473721169766210321598287 absolute error = 7.34050760642e-20 relative error = 5.4159024917606749916829762658446e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.608 y[1] (analytic) = 1.3548980734691070669731545244116 y[1] (numeric) = 1.3548980734691070668997070997258 absolute error = 7.34474246858e-20 relative error = 5.4208819190172587857551764057007e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.609 y[1] (analytic) = 1.3544338681411110297147029448283 y[1] (numeric) = 1.3544338681411110296412131754903 absolute error = 7.34897693380e-20 relative error = 5.4258661915225752717371179774351e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.61 y[1] (analytic) = 1.3539692316004893431069988225092 y[1] (numeric) = 1.3539692316004893430334667124879 absolute error = 7.35321100213e-20 relative error = 5.4308553182098340146542264461067e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.611 memory used=1102.4MB, alloc=4.5MB, time=115.98 y[1] (analytic) = 1.3535041640595536954794512128236 y[1] (numeric) = 1.3535041640595536954058767660876 absolute error = 7.35744467360e-20 relative error = 5.4358493080160742568932540906117e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.612 y[1] (analytic) = 1.3530386657305669927973605616478 y[1] (numeric) = 1.3530386657305669927237437821657 absolute error = 7.36167794821e-20 relative error = 5.4408481698748024427428633831682e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.613 y[1] (analytic) = 1.3525727368257433661554464231743 y[1] (numeric) = 1.3525727368257433660817873149141 absolute error = 7.36591082602e-20 relative error = 5.4458519127825476957971615055813e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.614 y[1] (analytic) = 1.3521063775572481792705043166593 y[1] (numeric) = 1.3521063775572481791968028835888 absolute error = 7.37014330705e-20 relative error = 5.4508605457250335011453744069179e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.615 y[1] (analytic) = 1.3516395881371980359731918037438 y[1] (numeric) = 1.3516395881371980358994480498305 absolute error = 7.37437539133e-20 relative error = 5.4558740777141730122368731895868e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.616 y[1] (analytic) = 1.3511723687776607876989438679691 y[1] (numeric) = 1.3511723687776607876251577971801 absolute error = 7.37860707890e-20 relative error = 5.4608925177881361344399615604646e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1106.3MB, alloc=4.5MB, time=116.39 NO POLE x[1] = 0.617 y[1] (analytic) = 1.3507047196906555409780176781051 y[1] (numeric) = 1.3507047196906555409041892944072 absolute error = 7.38283836979e-20 relative error = 5.4659158749966097619104280585078e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.618 y[1] (analytic) = 1.3502366410881526649246668169033 y[1] (numeric) = 1.3502366410881526648507961242629 absolute error = 7.38706926404e-20 relative error = 5.4709441584156518922238474092675e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.619 y[1] (analytic) = 1.3497681331820737987254450568779 y[1] (numeric) = 1.3497681331820737986515320592614 absolute error = 7.39129976165e-20 relative error = 5.4759773771107159463623616022549e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.62 y[1] (analytic) = 1.3492991961842918591266397647154 y[1] (numeric) = 1.3492991961842918590526844660888 absolute error = 7.39552986266e-20 relative error = 5.4810155401959443961569555878989e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.621 y[1] (analytic) = 1.3488298303066310479208350159023 y[1] (numeric) = 1.348829830306631047846837420231 absolute error = 7.39975956713e-20 relative error = 5.4860586568194477765251411498135e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.622 y[1] (analytic) = 1.3483600357608668594326045011569 y[1] (numeric) = 1.3483600357608668593585646124063 absolute error = 7.40398887506e-20 relative error = 5.4911067361040546287707856656187e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.5MB, time=116.80 NO POLE x[1] = 0.623 y[1] (analytic) = 1.3478898127587260880033343062469 y[1] (numeric) = 1.3478898127587260879292521283819 absolute error = 7.40821778650e-20 relative error = 5.4961597872288986375947023600151e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.624 y[1] (analytic) = 1.3474191615118868354751756467614 y[1] (numeric) = 1.3474191615118868354010511837466 absolute error = 7.41244630148e-20 relative error = 5.5012178193775878916562031352230e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.625 y[1] (analytic) = 1.3469480822319785186741276394065 y[1] (numeric) = 1.3469480822319785185999608952062 absolute error = 7.41667442003e-20 relative error = 5.5062808417530833433611074389698e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.626 y[1] (analytic) = 1.3464765751305818768922501913828 y[1] (numeric) = 1.3464765751305818768180411699612 absolute error = 7.42090214216e-20 relative error = 5.5113488635629013606775789753553e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.627 y[1] (analytic) = 1.3460046404192289793690070894002 y[1] (numeric) = 1.3460046404192289792947557947209 absolute error = 7.42512946793e-20 relative error = 5.5164218940711497692754661988653e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.5MB, time=117.22 NO POLE x[1] = 0.628 y[1] (analytic) = 1.3455322783094032327717393698735 y[1] (numeric) = 1.3455322783094032326974458059 absolute error = 7.42935639735e-20 relative error = 5.5214999425243294446140364867586e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.629 y[1] (analytic) = 1.3450594890125393886752690518433 y[1] (numeric) = 1.3450594890125393886009332225387 absolute error = 7.43358293046e-20 relative error = 5.5265830182108027398099068048087e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.63 y[1] (analytic) = 1.3445862727400235510406333141538 y[1] (numeric) = 1.3445862727400235509662552234808 absolute error = 7.43780906730e-20 relative error = 5.5316711304385778280978086004306e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.631 y[1] (analytic) = 1.3441126297031931836929491984159 y[1] (numeric) = 1.3441126297031931836185288503369 absolute error = 7.44203480790e-20 relative error = 5.5367642885279259529914148207698e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.632 y[1] (analytic) = 1.3436385601133371177984089192773 y[1] (numeric) = 1.3436385601133371177239463177547 absolute error = 7.44626015226e-20 relative error = 5.5418625017965406387349439514371e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.633 y[1] (analytic) = 1.3431640641816955593404058635152 y[1] (numeric) = 1.3431640641816955592659010125106 absolute error = 7.45048510046e-20 relative error = 5.5469657796414518651281872797974e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.5MB, time=117.63 NO POLE x[1] = 0.634 y[1] (analytic) = 1.342689142119460096594791359457 y[1] (numeric) = 1.342689142119460096520244262932 absolute error = 7.45470965250e-20 relative error = 5.5520741314200250589046034526639e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.635 y[1] (analytic) = 1.3422137941377737076042622982359 y[1] (numeric) = 1.3422137941377737075296729601517 absolute error = 7.45893380842e-20 relative error = 5.5571875665393181506116826917760e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.636 y[1] (analytic) = 1.3417380204477307676518796883727 y[1] (numeric) = 1.3417380204477307675772481126903 absolute error = 7.46315756824e-20 relative error = 5.5623060944114741732029192191875e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.637 y[1] (analytic) = 1.3412618212603770567337182251763 y[1] (numeric) = 1.3412618212603770566590444158562 absolute error = 7.46738093201e-20 relative error = 5.5674297244910313709475291901131e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.638 y[1] (analytic) = 1.3407851967867097670306469564431 y[1] (numeric) = 1.3407851967867097669559309174457 absolute error = 7.47160389974e-20 relative error = 5.5725584662228130890499415896281e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1121.5MB, alloc=4.5MB, time=118.03 x[1] = 0.639 y[1] (analytic) = 1.3403081472376775103792411259341 y[1] (numeric) = 1.3403081472376775103044828612194 absolute error = 7.47582647147e-20 relative error = 5.5776923290941601458157137815276e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.64 y[1] (analytic) = 1.3398306728241803257418252760985 y[1] (numeric) = 1.3398306728241803256670247896261 absolute error = 7.48004864724e-20 relative error = 5.5828313226126385185242649448666e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.641 y[1] (analytic) = 1.339352773757069686675647691507 y[1] (numeric) = 1.3393527737570696866008049872363 absolute error = 7.48427042707e-20 relative error = 5.5879754562911657720175845614677e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.642 y[1] (analytic) = 1.3388744502471485088011862644542 y[1] (numeric) = 1.3388744502471485087263013463441 absolute error = 7.48849181101e-20 relative error = 5.5931247396853883954897586938337e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.643 y[1] (analytic) = 1.3383957025051711572695858641774 y[1] (numeric) = 1.3383957025051711571946587361867 absolute error = 7.49271279907e-20 relative error = 5.5982791823414797746700502792409e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.644 y[1] (analytic) = 1.3379165307418434542292272911403 y[1] (numeric) = 1.3379165307418434541542579572275 absolute error = 7.49693339128e-20 relative error = 5.6034387938409921653445326290208e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.5MB, time=118.44 NO POLE x[1] = 0.645 y[1] (analytic) = 1.3374369351678226862914278978166 y[1] (numeric) = 1.3374369351678226862164163619396 absolute error = 7.50115358770e-20 relative error = 5.6086035838084201556924560842484e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.646 y[1] (analytic) = 1.3369569159937176119952739574052 y[1] (numeric) = 1.3369569159937176119202202235221 absolute error = 7.50537338831e-20 relative error = 5.6137735618290244916808395151673e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.647 y[1] (analytic) = 1.3364764734300884692715848619056 y[1] (numeric) = 1.3364764734300884691964889339737 absolute error = 7.50959279319e-20 relative error = 5.6189487375834673137094740061196e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.648 y[1] (analytic) = 1.3359956076874469829060092309668 y[1] (numeric) = 1.3359956076874469828308711129434 absolute error = 7.51381180234e-20 relative error = 5.6241291207132759714918971635132e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.649 y[1] (analytic) = 1.3355143189762563720012530129274 y[1] (numeric) = 1.3355143189762563719260727087692 absolute error = 7.51803041582e-20 relative error = 5.6293147209256244257621682886017e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.65 y[1] (analytic) = 1.335032607506931357438439659449 y[1] (numeric) = 1.3350326075069313573632171731126 absolute error = 7.52224863364e-20 relative error = 5.6345055479110799382168326604735e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.5MB, time=118.86 NO POLE x[1] = 0.651 y[1] (analytic) = 1.3345504734898381693376024551448 y[1] (numeric) = 1.3345504734898381692623377905865 absolute error = 7.52646645583e-20 relative error = 5.6397016113960486281761131231849e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.652 y[1] (analytic) = 1.334067917135294554517309083596 y[1] (numeric) = 1.3340679171352945544420022447717 absolute error = 7.53068388243e-20 relative error = 5.6449029211353677835215744004595e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.653 y[1] (analytic) = 1.3335849386535697839534185111415 y[1] (numeric) = 1.3335849386535697838780695020068 absolute error = 7.53490091347e-20 relative error = 5.6501094868973836320692733120360e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.654 y[1] (analytic) = 1.3331015382548846602369702698234 y[1] (numeric) = 1.3331015382548846601615790943336 absolute error = 7.53911754898e-20 relative error = 5.6553213184715006661484301837500e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.655 y[1] (analytic) = 1.3326177161494115250312062208604 y[1] (numeric) = 1.3326177161494115249557728829705 absolute error = 7.54333378899e-20 relative error = 5.6605384256682434209235475855766e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1133.0MB, alloc=4.5MB, time=119.27 NO POLE x[1] = 0.656 y[1] (analytic) = 1.3321334725472742665277248800178 y[1] (numeric) = 1.3321334725472742664522493836826 absolute error = 7.54754963352e-20 relative error = 5.6657608183118117039828280379096e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.657 y[1] (analytic) = 1.3316488076585483269017683862351 y[1] (numeric) = 1.3316488076585483268262507354089 absolute error = 7.55176508262e-20 relative error = 5.6709885062701670766537342861693e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.658 y[1] (analytic) = 1.3311637216932607097666421948649 y[1] (numeric) = 1.3311637216932607096910823935017 absolute error = 7.55598013632e-20 relative error = 5.6762214994175751387691986712304e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.659 y[1] (analytic) = 1.3306782148613899876272675768731 y[1] (numeric) = 1.3306782148613899875516656289267 absolute error = 7.56019479464e-20 relative error = 5.6814598076421557816158139972226e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.66 y[1] (analytic) = 1.3301922873728663093328670053409 y[1] (numeric) = 1.3301922873728663092572229147648 absolute error = 7.56440905761e-20 relative error = 5.6867034408609677013829018288361e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.661 y[1] (analytic) = 1.3297059394375714075287825106056 y[1] (numeric) = 1.3297059394375714074530962813527 absolute error = 7.56862292529e-20 relative error = 5.6919524090351260533789760679586e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.5MB, time=119.69 NO POLE x[1] = 0.662 y[1] (analytic) = 1.3292191712653386061074270853668 y[1] (numeric) = 1.3292191712653386060316987213902 absolute error = 7.57283639766e-20 relative error = 5.6972067220871516527770057696945e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.663 y[1] (analytic) = 1.3287319830659528276583692210851 y[1] (numeric) = 1.3287319830659528275825987263372 absolute error = 7.57704947479e-20 relative error = 5.7024663900288657512888235615171e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.664 y[1] (analytic) = 1.3282443750491506009175506569841 y[1] (numeric) = 1.3282443750491506008417380354171 absolute error = 7.58126215670e-20 relative error = 5.7077314228561755216848801204021e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.665 y[1] (analytic) = 1.3277563474246200682156374229707 y[1] (numeric) = 1.3277563474246200681397826785364 absolute error = 7.58547444343e-20 relative error = 5.7130018306017894508877137307064e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.666 y[1] (analytic) = 1.327267900402000992925504257774 y[1] (numeric) = 1.3272679004020009928496073944239 absolute error = 7.58968633501e-20 relative error = 5.7182776233127062875585248906322e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.667 memory used=1140.6MB, alloc=4.5MB, time=120.09 y[1] (analytic) = 1.326779034190884766908852483601 y[1] (numeric) = 1.3267790341908847668329135052866 absolute error = 7.59389783144e-20 relative error = 5.7235588110351914186687687950279e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.668 y[1] (analytic) = 1.3262897490008144179619614186011 y[1] (numeric) = 1.3262897490008144178859803292732 absolute error = 7.59810893279e-20 relative error = 5.7288454038901979973018487869991e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.669 y[1] (analytic) = 1.3258000450412846172605734084207 y[1] (numeric) = 1.32580004504128461718455021203 absolute error = 7.60231963907e-20 relative error = 5.7341374119754750284588032053249e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.67 y[1] (analytic) = 1.325309922521741686803912558129 y[1] (numeric) = 1.3253099225217416867278472586258 absolute error = 7.60652995032e-20 relative error = 5.7394348454334574750451424956234e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.671 y[1] (analytic) = 1.324819381651583606857837245785 y[1] (numeric) = 1.3248193816515836067817298471193 absolute error = 7.61073986657e-20 relative error = 5.7447377144211804670037500378602e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.672 y[1] (analytic) = 1.3243284226401600233971264989105 y[1] (numeric) = 1.3243284226401600233209770050322 absolute error = 7.61494938783e-20 relative error = 5.7500460291027797630964158144304e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.5MB, time=120.49 NO POLE x[1] = 0.673 y[1] (analytic) = 1.32383704569677225554690031513 y[1] (numeric) = 1.3238370456967722554707087299882 absolute error = 7.61915851418e-20 relative error = 5.7553597997175135485552692277380e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.674 y[1] (analytic) = 1.3233452510306733030231740082259 y[1] (numeric) = 1.3233452510306733029469403357698 absolute error = 7.62336724561e-20 relative error = 5.7606790364590207353949588371797e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.675 y[1] (analytic) = 1.3228530388510678535725466608602 y[1] (numeric) = 1.3228530388510678534962709050385 absolute error = 7.62757558217e-20 relative error = 5.7660037495886520125649287016022e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.676 y[1] (analytic) = 1.3223604093671122904110237651972 y[1] (numeric) = 1.3223604093671122903347059299585 absolute error = 7.63178352387e-20 relative error = 5.7713339493599980995223153669087e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.677 y[1] (analytic) = 1.3218673627879146996619741326645 y[1] (numeric) = 1.321867362787914699585614221957 absolute error = 7.63599107075e-20 relative error = 5.7766696460718553324632669875262e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.678 y[1] (analytic) = 1.3213738993225348777932211540761 y[1] (numeric) = 1.3213738993225348777168191718475 absolute error = 7.64019822286e-20 relative error = 5.7820108500531989372063514007491e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.5MB, time=120.89 NO POLE x[1] = 0.679 y[1] (analytic) = 1.3208800191799843390532684913393 y[1] (numeric) = 1.3208800191799843389768244415372 absolute error = 7.64440498021e-20 relative error = 5.7873575716254106442093674390852e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.68 y[1] (analytic) = 1.3203857225692263229066602819605 y[1] (numeric) = 1.320385722569226322830174168532 absolute error = 7.64861134285e-20 relative error = 5.7927098211628776525305061357996e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.681 y[1] (analytic) = 1.3198910096991758014684759375544 y[1] (numeric) = 1.3198910096991758013919477644466 absolute error = 7.65281731078e-20 relative error = 5.7980676090249292943638690037497e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.682 y[1] (analytic) = 1.319395880778699486937959617562 y[1] (numeric) = 1.3193958807786994868613893887214 absolute error = 7.65702288406e-20 relative error = 5.8034309456392051945401505295316e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.683 y[1] (analytic) = 1.318900336016615839031284459368 y[1] (numeric) = 1.3189003360166158389546721787408 absolute error = 7.66122806272e-20 relative error = 5.8087998414335697893626051154244e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.5MB, time=121.27 NO POLE x[1] = 0.684 y[1] (analytic) = 1.318404375621695072413451646009 y[1] (numeric) = 1.3184043756216950723367973175413 absolute error = 7.66543284677e-20 relative error = 5.8141743068437227260280911687252e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.685 y[1] (analytic) = 1.3179079998026591641293243926538 y[1] (numeric) = 1.3179079998026591640526280202913 absolute error = 7.66963723625e-20 relative error = 5.8195543523511775634473799489961e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.686 y[1] (analytic) = 1.3174112087681818610337969330308 y[1] (numeric) = 1.3174112087681818609570585207188 absolute error = 7.67384123120e-20 relative error = 5.8249399884606012546191664830206e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.687 y[1] (analytic) = 1.3169140027268886872210985869722 y[1] (numeric) = 1.3169140027268886871443181386557 absolute error = 7.67804483165e-20 relative error = 5.8303312256922895025094835478228e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.688 y[1] (analytic) = 1.3164163818873569514532329902383 y[1] (numeric) = 1.3164163818873569513764105098621 absolute error = 7.68224803762e-20 relative error = 5.8357280745822215093118587053118e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.689 y[1] (analytic) = 1.3159183464581157545875525677779 y[1] (numeric) = 1.3159183464581157545106880592864 absolute error = 7.68645084915e-20 relative error = 5.8411305457049126605990727817778e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.5MB, time=121.67 NO POLE x[1] = 0.69 y[1] (analytic) = 1.3154198966476459970034683315745 y[1] (numeric) = 1.3154198966476459969265617989119 absolute error = 7.69065326626e-20 relative error = 5.8465386496431042633648748692623e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.691 y[1] (analytic) = 1.3149210326643803860282950842239 y[1] (numeric) = 1.3149210326643803859513465313337 absolute error = 7.69485528902e-20 relative error = 5.8519523970410396534251095097455e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.692 y[1] (analytic) = 1.3144217547167034433622321093766 y[1] (numeric) = 1.3144217547167034432852415402027 absolute error = 7.69905691739e-20 relative error = 5.8573717984828798435836673603782e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.693 y[1] (analytic) = 1.3139220630129515125024794301823 y[1] (numeric) = 1.3139220630129515124254468486677 absolute error = 7.70325815146e-20 relative error = 5.8627968646752740562722866646317e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.694 y[1] (analytic) = 1.3134219577614127661664897168537 y[1] (numeric) = 1.3134219577614127660894151269412 absolute error = 7.70745899125e-20 relative error = 5.8682276062953442659677596336408e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.695 memory used=1159.7MB, alloc=4.5MB, time=122.07 y[1] (analytic) = 1.3129214391703272137143559244729 y[1] (numeric) = 1.3129214391703272136372393301051 absolute error = 7.71165943678e-20 relative error = 5.8736640340439708295349624708728e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.696 y[1] (analytic) = 1.3124205074478867085703347421512 y[1] (numeric) = 1.3124205074478867084931761472704 absolute error = 7.71585948808e-20 relative error = 5.8791061586534829215870423201494e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.697 y[1] (analytic) = 1.3119191628022349556435059346461 y[1] (numeric) = 1.3119191628022349555663053431943 absolute error = 7.72005914518e-20 relative error = 5.8845539908801218425563858235387e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.698 y[1] (analytic) = 1.3114174054414675187475676575362 y[1] (numeric) = 1.3114174054414675186703250734549 absolute error = 7.72425840813e-20 relative error = 5.8900075415193631544344080583459e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.699 y[1] (analytic) = 1.3109152355736318280197678270452 y[1] (numeric) = 1.3109152355736318279424832542757 absolute error = 7.72845727695e-20 relative error = 5.8954668213678763068375317837811e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.7 y[1] (analytic) = 1.310412653406727187338971625603 y[1] (numeric) = 1.3104126534067271872616450680865 absolute error = 7.73265575165e-20 relative error = 5.9009318412388151669762285583834e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.5MB, time=122.47 NO POLE x[1] = 0.701 y[1] (analytic) = 1.3099096591487047817428652242227 y[1] (numeric) = 1.3099096591487047816654966858998 absolute error = 7.73685383229e-20 relative error = 5.9064026120076802095677262605784e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.702 y[1] (analytic) = 1.309406253007467684844295802766 y[1] (numeric) = 1.3094062530074676847668852875772 absolute error = 7.74105151888e-20 relative error = 5.9118791445360937570771165219387e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.703 y[1] (analytic) = 1.3089024351908708662467479491668 y[1] (numeric) = 1.308902435190870866169295461052 absolute error = 7.74524881148e-20 relative error = 5.9173614497481992186770199804744e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.704 y[1] (analytic) = 1.3083982059067211989589565186703 y[1] (numeric) = 1.3083982059067211988814620615694 absolute error = 7.74944571009e-20 relative error = 5.9228495385467352923763769781500e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.705 y[1] (analytic) = 1.3078935653627774668086560341457 y[1] (numeric) = 1.3078935653627774667311196119982 absolute error = 7.75364221475e-20 relative error = 5.9283434218894796619288932395565e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.706 y[1] (analytic) = 1.3073885137667503718554667085169 y[1] (numeric) = 1.3073885137667503717778883252618 absolute error = 7.75783832551e-20 relative error = 5.9338431107664348801631521803531e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.5MB, time=122.87 NO POLE x[1] = 0.707 y[1] (analytic) = 1.306883051326302541802917170355 y[1] (numeric) = 1.3068830513263025417252968299311 absolute error = 7.76203404239e-20 relative error = 5.9393486161693097433018247628173e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.708 y[1] (analytic) = 1.3063771782490485374096039736669 y[1] (numeric) = 1.306377178249048537331941680013 absolute error = 7.76622936539e-20 relative error = 5.9448599490992036639604481835041e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.709 y[1] (analytic) = 1.3058708947425548598994879729103 y[1] (numeric) = 1.3058708947425548598217837299643 absolute error = 7.77042429460e-20 relative error = 5.9503771206508861440524323354526e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.71 y[1] (analytic) = 1.3053642010143399583713276442537 y[1] (numeric) = 1.3053642010143399582935814559536 absolute error = 7.77461883001e-20 relative error = 5.9559001418674516261702172519007e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.711 y[1] (analytic) = 1.3048570972718742372072494341028 y[1] (numeric) = 1.3048570972718742371294613043863 absolute error = 7.77881297165e-20 relative error = 5.9614290238475371004372084545999e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.5MB, time=123.27 NO POLE x[1] = 0.712 y[1] (analytic) = 1.3043495837225800634804552158987 y[1] (numeric) = 1.304349583722580063402625148703 absolute error = 7.78300671957e-20 relative error = 5.9669637777301232400533459457666e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.713 y[1] (analytic) = 1.3038416605738317743620669361928 y[1] (numeric) = 1.303841660573831774284194935455 absolute error = 7.78720007378e-20 relative error = 5.9725044146486216695644649564957e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.714 y[1] (analytic) = 1.3033333280329556845271085309961 y[1] (numeric) = 1.3033333280329556844491946006528 absolute error = 7.79139303433e-20 relative error = 5.9780509457922718285183658770988e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.715 y[1] (analytic) = 1.3028245863072300935596251933915 y[1] (numeric) = 1.3028245863072300934816693373789 absolute error = 7.79558560126e-20 relative error = 5.9836033823678984309645357005909e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.716 y[1] (analytic) = 1.3023154356038852933569400733943 y[1] (numeric) = 1.3023154356038852932789422956488 absolute error = 7.79977777455e-20 relative error = 5.9891617355615794481912404316429e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.717 y[1] (analytic) = 1.301805876130103575533048491041 y[1] (numeric) = 1.3018058761301035754550087954981 absolute error = 7.80396955429e-20 relative error = 5.9947260166692201279404466380694e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.5MB, time=123.68 NO POLE x[1] = 0.718 y[1] (analytic) = 1.301295908093019238821149743672 y[1] (numeric) = 1.3012959080930192387430681342671 absolute error = 7.80816094049e-20 relative error = 6.0002962369507866087422052119647e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.719 y[1] (analytic) = 1.3007855316997185964753165883793 y[1] (numeric) = 1.3007855316997185963971930690476 absolute error = 7.81235193317e-20 relative error = 6.0058724076994514080851268999051e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.72 y[1] (analytic) = 1.3002747471572399836713024805746 y[1] (numeric) = 1.300274747157239983593137055251 absolute error = 7.81654253236e-20 relative error = 6.0114545402416855414416659472713e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.721 y[1] (analytic) = 1.299763554672573764906486649631 y[1] (numeric) = 1.29976355467257376482827932225 absolute error = 7.82073273810e-20 relative error = 6.0170426459373509822379799648425e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.722 y[1] (analytic) = 1.2992519544526623413989570925437 y[1] (numeric) = 1.2992519544526623413207078670393 absolute error = 7.82492255044e-20 relative error = 6.0226367361797934641439697630125e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.723 memory used=1178.7MB, alloc=4.5MB, time=124.09 y[1] (analytic) = 1.2987399467044001584857315665493 y[1] (numeric) = 1.2987399467044001584074404468554 absolute error = 7.82911196939e-20 relative error = 6.0282368223574367727516550026443e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.724 y[1] (analytic) = 1.2982275316346337130201166616379 y[1] (numeric) = 1.2982275316346337129417836516882 absolute error = 7.83330099497e-20 relative error = 6.0338429158923143084285223696768e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.725 y[1] (analytic) = 1.2977147094501615607682050338842 y[1] (numeric) = 1.2977147094501615606898301376119 absolute error = 7.83748962723e-20 relative error = 6.0394550282555743908818458178402e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.726 y[1] (analytic) = 1.2972014803577343238045108805162 y[1] (numeric) = 1.2972014803577343237260941018543 absolute error = 7.84167786619e-20 relative error = 6.0450731709213512744771613859529e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.727 y[1] (analytic) = 1.2966878445640546979067437376392 y[1] (numeric) = 1.2966878445640546978282850805203 absolute error = 7.84586571189e-20 relative error = 6.0506973554053582467853361063584e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.728 y[1] (analytic) = 1.2961738022757774599497206815194 y[1] (numeric) = 1.2961738022757774598712201498757 absolute error = 7.85005316437e-20 relative error = 6.0563275932495674370297365183138e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1182.6MB, alloc=4.5MB, time=124.49 NO POLE x[1] = 0.729 y[1] (analytic) = 1.2956593536995094752984170143299 y[1] (numeric) = 1.2956593536995094752198746120936 absolute error = 7.85424022363e-20 relative error = 6.0619638959914171328002569747293e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.73 y[1] (analytic) = 1.2951444990418097052001555152551 y[1] (numeric) = 1.2951444990418097051215712463578 absolute error = 7.85842688973e-20 relative error = 6.0676062752410417876944234147404e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.731 y[1] (analytic) = 1.2946292385091892141759343378386 y[1] (numeric) = 1.2946292385091892140973082062118 absolute error = 7.86261316268e-20 relative error = 6.0732547425964777956969276329420e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.732 y[1] (analytic) = 1.2941135723081111774108936344614 y[1] (numeric) = 1.2941135723081111773322256440362 absolute error = 7.86679904252e-20 relative error = 6.0789093097054854898103179792260e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.733 y[1] (analytic) = 1.2935975006449908881439209888226 y[1] (numeric) = 1.2935975006449908880652111435296 absolute error = 7.87098452930e-20 relative error = 6.0845699882502152325624058346504e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.734 y[1] (analytic) = 1.2930810237261957650563957372925 y[1] (numeric) = 1.2930810237261957649776440410624 absolute error = 7.87516962301e-20 relative error = 6.0902367898931696215828867085059e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1186.4MB, alloc=4.5MB, time=124.88 NO POLE x[1] = 0.735 y[1] (analytic) = 1.2925641417580453596600722600044 y[1] (numeric) = 1.2925641417580453595812787167672 absolute error = 7.87935432372e-20 relative error = 6.0959097263855039275817013346515e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.736 y[1] (analytic) = 1.2920468549468113636841023225366 y[1] (numeric) = 1.2920468549468113636052669362224 absolute error = 7.88353863142e-20 relative error = 6.1015888094433968403836530610080e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.737 y[1] (analytic) = 1.2915291634987176164611965490405 y[1] (numeric) = 1.2915291634987176163823193235786 absolute error = 7.88772254619e-20 relative error = 6.1072740508796353383388462013413e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.738 y[1] (analytic) = 1.2910110676199401123129251076531 y[1] (numeric) = 1.2910110676199401122340060469728 absolute error = 7.89190606803e-20 relative error = 6.1129654624721567198075607130463e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.739 y[1] (analytic) = 1.2904925675166070079341576890368 y[1] (numeric) = 1.2904925675166070078551967970671 absolute error = 7.89608919697e-20 relative error = 6.1186630560492455638120152490869e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.5MB, time=125.28 NO POLE x[1] = 0.74 y[1] (analytic) = 1.2899736633947986297766428588745 y[1] (numeric) = 1.2899736633947986296976401395439 absolute error = 7.90027193306e-20 relative error = 6.1243668434819109651418039769266e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.741 y[1] (analytic) = 1.2894543554605474814317268651452 y[1] (numeric) = 1.2894543554605474813526823223821 absolute error = 7.90445427631e-20 relative error = 6.1300768366374694604088146059374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.742 y[1] (analytic) = 1.2889346439198382510122119810002 y[1] (numeric) = 1.2889346439198382509331256187326 absolute error = 7.90863622676e-20 relative error = 6.1357930474338743137308435467256e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.743 y[1] (analytic) = 1.2884145289786078185333544640504 y[1] (numeric) = 1.288414528978607818454226286206 absolute error = 7.91281778444e-20 relative error = 6.1415154878088000929360987758096e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.744 y[1] (analytic) = 1.287894010842745263293002212871 y[1] (numeric) = 1.2878940108427452632138322233772 absolute error = 7.91699894938e-20 relative error = 6.1472441697274755503029677374191e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.745 y[1] (analytic) = 1.2873730897180918712508722015234 y[1] (numeric) = 1.2873730897180918711716604043072 absolute error = 7.92117972162e-20 relative error = 6.1529791051905355779782119410692e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.5MB, time=125.68 NO POLE x[1] = 0.746 y[1] (analytic) = 1.2868517658104411424069677728868 y[1] (numeric) = 1.286851765810441142327714171875 absolute error = 7.92536010118e-20 relative error = 6.1587203062108087323247536528652e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.747 y[1] (analytic) = 1.286330039325538798179135871587 y[1] (numeric) = 1.2863300393255387980998404707058 absolute error = 7.92954008812e-20 relative error = 6.1644677848600148922609983799036e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.748 y[1] (analytic) = 1.2858079104690827887797642973007 y[1] (numeric) = 1.2858079104690827887004271004766 absolute error = 7.93371968241e-20 relative error = 6.1702215531678096975239755070697e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.749 y[1] (analytic) = 1.2852853794467233005916190592135 y[1] (numeric) = 1.2852853794467233005122400703721 absolute error = 7.93789888414e-20 relative error = 6.1759816232851156590126338426483e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.75 y[1] (analytic) = 1.284762446464062763542821912393 y[1] (numeric) = 1.2847624464640627634634011354599 absolute error = 7.94207769331e-20 relative error = 6.1817480073209432338881662640458e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.751 memory used=1197.8MB, alloc=4.5MB, time=126.09 y[1] (analytic) = 1.2842391117266558584809681568443 y[1] (numeric) = 1.2842391117266558584015055957447 absolute error = 7.94625610996e-20 relative error = 6.1875207174435616617794104069916e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.752 y[1] (analytic) = 1.2837153754400095245463847799991 y[1] (numeric) = 1.2837153754400095244668804386579 absolute error = 7.95043413412e-20 relative error = 6.1932997658416992276490867249004e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.753 y[1] (analytic) = 1.2831912378095829665445290233877 y[1] (numeric) = 1.2831912378095829664649829057297 absolute error = 7.95461176580e-20 relative error = 6.1990851647168209600907489258348e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.754 y[1] (analytic) = 1.2826666990407876623175274542377 y[1] (numeric) = 1.2826666990407876622379395641869 absolute error = 7.95878900508e-20 relative error = 6.2048769263533500180206065306246e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.755 y[1] (analytic) = 1.2821417593389873701148556227313 y[1] (numeric) = 1.2821417593389873700352259642118 absolute error = 7.96296585195e-20 relative error = 6.2106750629940753639845554042509e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.756 y[1] (analytic) = 1.281616418909498135963158385656 y[1] (numeric) = 1.2816164189094981358834869625914 absolute error = 7.96714230646e-20 relative error = 6.2164795869571354097692751127313e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.5MB, time=126.50 NO POLE x[1] = 0.757 y[1] (analytic) = 1.2810906779575883010352109771669 y[1] (numeric) = 1.2810906779575883009554977934806 absolute error = 7.97131836863e-20 relative error = 6.2222905105659491123122405737366e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.758 y[1] (analytic) = 1.2805645366884785090180209073804 y[1] (numeric) = 1.2805645366884785089382659669955 absolute error = 7.97549403849e-20 relative error = 6.2281078461804923793846318941822e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.759 y[1] (analytic) = 1.2800379953073417134800707695079 y[1] (numeric) = 1.2800379953073417134002740763471 absolute error = 7.97966931608e-20 relative error = 6.2339316061974025844707215353333e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.76 y[1] (analytic) = 1.2795110540193031852377020362348 y[1] (numeric) = 1.2795110540193031851578635942206 absolute error = 7.98384420142e-20 relative error = 6.2397618030266370188600490039202e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.761 y[1] (analytic) = 1.2789837130294405197206399260415 y[1] (numeric) = 1.278983713029440519640759739096 absolute error = 7.98801869455e-20 relative error = 6.2455984491228046902356464415142e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.762 y[1] (analytic) = 1.2784559725427836443366594201581 y[1] (numeric) = 1.2784559725427836442567374922031 absolute error = 7.99219279550e-20 relative error = 6.2514415569618222013785719066879e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.5MB, time=126.92 NO POLE x[1] = 0.763 y[1] (analytic) = 1.2779278327643148258353925108376 y[1] (numeric) = 1.2779278327643148257554288457946 absolute error = 7.99636650430e-20 relative error = 6.2572911390488125880777921617358e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.764 y[1] (analytic) = 1.2773992938989686776712767616265 y[1] (numeric) = 1.2773992938989686775912713634167 absolute error = 8.00053982098e-20 relative error = 6.2631472079181954239873144819012e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.765 y[1] (analytic) = 1.2768703561516321673656452603042 y[1] (numeric) = 1.2768703561516321672855981328486 absolute error = 8.00471274556e-20 relative error = 6.2690097761259456010188745365095e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.766 y[1] (analytic) = 1.2763410197271446238679580451586 y[1] (numeric) = 1.2763410197271446237878691923776 absolute error = 8.00888527810e-20 relative error = 6.2748788562888423271984859566527e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.767 y[1] (analytic) = 1.2758112848302977449161750852549 y[1] (numeric) = 1.2758112848302977448360445110689 absolute error = 8.01305741860e-20 relative error = 6.2807544610062437217433398356311e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1209.3MB, alloc=4.5MB, time=127.33 NO POLE x[1] = 0.768 y[1] (analytic) = 1.2752811516658356043962708953539 y[1] (numeric) = 1.2752811516658356043160986036828 absolute error = 8.01722916711e-20 relative error = 6.2866366029463361196165809203542e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.769 y[1] (analytic) = 1.274750620438454659700890866124 y[1] (numeric) = 1.2747506204384546596206768608873 absolute error = 8.02140052367e-20 relative error = 6.2925252947992392137134646721041e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.77 y[1] (analytic) = 1.274219691352803759087149390288 y[1] (numeric) = 1.2742196913528037590068936754052 absolute error = 8.02557148828e-20 relative error = 6.2984205492535380650553795404768e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.771 y[1] (analytic) = 1.2736883646134841490335698653405 y[1] (numeric) = 1.2736883646134841489532724447306 absolute error = 8.02974206099e-20 relative error = 6.3043223790669710083374904912094e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.772 y[1] (analytic) = 1.2731566404250494815961666534606 y[1] (numeric) = 1.2731566404250494815158275310424 absolute error = 8.03391224182e-20 relative error = 6.3102307970037682645093715784354e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.773 y[1] (analytic) = 1.2726245189920058217636690792443 y[1] (numeric) = 1.2726245189920058216832882589362 absolute error = 8.03808203081e-20 relative error = 6.3161458158739847408352128534467e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.5MB, time=127.72 NO POLE x[1] = 0.774 y[1] (analytic) = 1.2720920005188116548118875458691 y[1] (numeric) = 1.2720920005188116547314650315892 absolute error = 8.04225142799e-20 relative error = 6.3220674485100430827378341244531e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.775 y[1] (analytic) = 1.2715590852098778936572218503014 y[1] (numeric) = 1.2715590852098778935767576459675 absolute error = 8.04642043339e-20 relative error = 6.3279957077746753622387200107586e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.776 y[1] (analytic) = 1.2710257732695678862093117781481 y[1] (numeric) = 1.2710257732695678861288058876776 absolute error = 8.05058904705e-20 relative error = 6.3339306065688848270040246665238e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.777 y[1] (analytic) = 1.2704920649021974227228300587483 y[1] (numeric) = 1.2704920649021974226422824860584 absolute error = 8.05475726899e-20 relative error = 6.3398721578084439564299352667126e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.778 y[1] (analytic) = 1.2699579603120347431484177610953 y[1] (numeric) = 1.269957960312034743067828510103 absolute error = 8.05892509923e-20 relative error = 6.3458203744397047358919743386252e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.779 y[1] (analytic) = 1.2694234597033005444827622111717 y[1] (numeric) = 1.2694234597033005444021312857936 absolute error = 8.06309253781e-20 relative error = 6.3517752694554489043516558550201e-18 % memory used=1216.9MB, alloc=4.5MB, time=128.11 Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.78 y[1] (analytic) = 1.2688885632801679881178175112751 y[1] (numeric) = 1.2688885632801679880371449154272 absolute error = 8.06725958479e-20 relative error = 6.3577368558950165713656877954461e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.781 y[1] (analytic) = 1.2683532712467627071891677419028 y[1] (numeric) = 1.2683532712467627071084534795013 absolute error = 8.07142624015e-20 relative error = 6.3637051467655929514534143193694e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.782 y[1] (analytic) = 1.2678175838071628139235329267648 y[1] (numeric) = 1.2678175838071628138427770017251 absolute error = 8.07559250397e-20 relative error = 6.3696801551841476883419098807353e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.783 y[1] (analytic) = 1.2672815011653989069854178414762 y[1] (numeric) = 1.2672815011653989069046202577137 absolute error = 8.07975837625e-20 relative error = 6.3756618942356616088447446546536e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.784 y[1] (analytic) = 1.2667450235254540788229037464862 y[1] (numeric) = 1.2667450235254540787420645079161 absolute error = 8.08392385701e-20 relative error = 6.3816503770520326565800825872829e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.5MB, time=128.50 NO POLE x[1] = 0.785 y[1] (analytic) = 1.2662081510912639230125831247866 y[1] (numeric) = 1.2662081510912639229317022353234 absolute error = 8.08808894632e-20 relative error = 6.3876456168358992045324658863869e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.786 y[1] (analytic) = 1.265670884066716541603637504937 y[1] (numeric) = 1.2656708840667165415227149684952 absolute error = 8.09225364418e-20 relative error = 6.3936476267660100033634551834541e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.787 y[1] (analytic) = 1.265133222655652552461058449943 y[1] (numeric) = 1.2651332226556525523800942704369 absolute error = 8.09641795061e-20 relative error = 6.3996564200683435481772455336094e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.788 y[1] (analytic) = 1.2645951670618650966080117925114 y[1] (numeric) = 1.2645951670618650965270059738544 absolute error = 8.10058186570e-20 relative error = 6.4056720100557781763676961740992e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.789 y[1] (analytic) = 1.2640567174890998455673451971994 y[1] (numeric) = 1.2640567174890998454862977433053 absolute error = 8.10474538941e-20 relative error = 6.4116944099700878012569586087347e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.79 y[1] (analytic) = 1.263517874141055008702239129979 y[1] (numeric) = 1.2635178741410550086211500447608 absolute error = 8.10890852182e-20 relative error = 6.4177236331796822187837717906175e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.5MB, time=128.90 NO POLE x[1] = 0.791 y[1] (analytic) = 1.2629786372213813405560013157141 y[1] (numeric) = 1.2629786372213813404748706030848 absolute error = 8.11307126293e-20 relative error = 6.4237596930215530381526802486854e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.792 y[1] (analytic) = 1.2624390069336821481910047640596 y[1] (numeric) = 1.2624390069336821481098324279315 absolute error = 8.11723361281e-20 relative error = 6.4298026029200559201206178408441e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.793 y[1] (analytic) = 1.2618989834815132985267694442702 y[1] (numeric) = 1.2618989834815132984455554885557 absolute error = 8.12139557145e-20 relative error = 6.4358523762682606849138909918842e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.794 y[1] (analytic) = 1.2613585670683832256771876894122 y[1] (numeric) = 1.2613585670683832255959321180233 absolute error = 8.12555713889e-20 relative error = 6.4419090265309796569898110182380e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.315 Order of pole = 26.01 x[1] = 0.795 y[1] (analytic) = 1.260817757897752938286893410457 y[1] (numeric) = 1.2608177578977529382055962273052 absolute error = 8.12971831518e-20 relative error = 6.4479725672132278525571569837610e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.5MB, time=129.30 NO POLE x[1] = 0.796 y[1] (analytic) = 1.2602765561730360268667752007318 y[1] (numeric) = 1.2602765561730360267854364097285 absolute error = 8.13387910033e-20 relative error = 6.4540430118206674313532785068395e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.797 y[1] (analytic) = 1.2597349620975986711286334111982 y[1] (numeric) = 1.2597349620975986710472530162545 absolute error = 8.13803949437e-20 relative error = 6.4601203739072702152848878614386e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.798 y[1] (analytic) = 1.2591929758747596473189812770206 y[1] (numeric) = 1.2591929758747596472375592820471 absolute error = 8.14219949735e-20 relative error = 6.4662046670754536936141383590779e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.799 y[1] (analytic) = 1.2586505977077903355519901758794 y[1] (numeric) = 1.2586505977077903354705265847865 absolute error = 8.14635910929e-20 relative error = 6.4722959049364924820777946824235e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.8 y[1] (analytic) = 1.2581078277999147271415790984816 y[1] (numeric) = 1.2581078277999147270600739151794 absolute error = 8.15051833022e-20 relative error = 6.4783941011423634917653927948272e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.801 y[1] (analytic) = 1.2575646663543094319326484117105 y[1] (numeric) = 1.2575646663543094318511016401088 absolute error = 8.15467716017e-20 relative error = 6.4844992693779142388046687833380e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.5MB, time=129.72 NO POLE x[1] = 0.802 y[1] (analytic) = 1.2570211135741036856314579948526 y[1] (numeric) = 1.2570211135741036855498696388609 absolute error = 8.15883559917e-20 relative error = 6.4906114233609663005292940429254e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.803 y[1] (analytic) = 1.2564771696623793571351498293331 y[1] (numeric) = 1.2564771696623793570535198928604 absolute error = 8.16299364727e-20 relative error = 6.4967305768583366730639765772941e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 4.669 Order of pole = 8.329 x[1] = 0.804 y[1] (analytic) = 1.255932834822170955860415122383 y[1] (numeric) = 1.2559328348221709557787436093382 absolute error = 8.16715130448e-20 relative error = 6.5028567436382032315428995255663e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.805 y[1] (analytic) = 1.2553881092564656390713060450589 y[1] (numeric) = 1.2553881092564656389895929593506 absolute error = 8.17130857083e-20 relative error = 6.5089899375179343330595164714431e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.806 y[1] (analytic) = 1.2548429931682032192061921650246 y[1] (numeric) = 1.2548429931682032191244375105612 absolute error = 8.17546544634e-20 relative error = 6.5151301723403209308632322739390e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.807 y[1] (analytic) = 1.254297486760276171203861654503 y[1] (numeric) = 1.2542974867602761711220654351922 memory used=1236.0MB, alloc=4.5MB, time=130.13 absolute error = 8.17962193108e-20 relative error = 6.5212774620215001689130847217708e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.808 y[1] (analytic) = 1.2537515902355296398287673537937 y[1] (numeric) = 1.2537515902355296397469295735432 absolute error = 8.18377802505e-20 relative error = 6.5274318204554351427153892170463e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.809 y[1] (analytic) = 1.2532053037967614469954177707545 y[1] (numeric) = 1.2532053037967614469135384334717 absolute error = 8.18793372828e-20 relative error = 6.5335932615936949788131374390822e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.81 y[1] (analytic) = 1.2526586276467220990919130966288 y[1] (numeric) = 1.2526586276467220990099922062206 absolute error = 8.19208904082e-20 relative error = 6.5397617994376304419181466770159e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.811 y[1] (analytic) = 1.2521115619881147943026263186016 y[1] (numeric) = 1.2521115619881147942206638789747 absolute error = 8.19624396269e-20 relative error = 6.5459374479985832229313800535200e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.812 y[1] (analytic) = 1.2515641070235954299300295094576 y[1] (numeric) = 1.2515641070235954298480255245183 absolute error = 8.20039849393e-20 relative error = 6.5521202213378910093850209402979e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.5MB, time=130.54 NO POLE x[1] = 0.813 y[1] (analytic) = 1.2510162629557726097156653747085 y[1] (numeric) = 1.2510162629557726096336198483632 absolute error = 8.20455263453e-20 relative error = 6.5583101335110756604772459835822e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.814 y[1] (analytic) = 1.2504680299872076511602641375529 y[1] (numeric) = 1.2504680299872076510781770737071 absolute error = 8.20870638458e-20 relative error = 6.5645071986878188849390830380265e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.815 y[1] (analytic) = 1.2499194083204145928430058420192 y[1] (numeric) = 1.2499194083204145927608772445785 absolute error = 8.21285974407e-20 relative error = 6.5707114309922357587312049335340e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.816 y[1] (analytic) = 1.2493703981578602017399281546464 y[1] (numeric) = 1.2493703981578602016577580275159 absolute error = 8.21701271305e-20 relative error = 6.5769228446308727357238283753972e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.817 y[1] (analytic) = 1.2488209997019639805414797450393 y[1] (numeric) = 1.2488209997019639804592680921238 absolute error = 8.22116529155e-20 relative error = 6.5831414538288620021856855676544e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.818 y[1] (analytic) = 1.2482712131550981749692193256376 y[1] (numeric) = 1.2482712131550981748869661508418 absolute error = 8.22531747958e-20 relative error = 6.5893672728299960897857905575976e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.5MB, time=130.96 NO POLE x[1] = 0.819 y[1] (analytic) = 1.247721038719587781091660431028 y[1] (numeric) = 1.2477210387195877810093657382561 absolute error = 8.22946927719e-20 relative error = 6.5956003159448904024024012883552e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.82 y[1] (analytic) = 1.2471704765977105526392620171209 y[1] (numeric) = 1.2471704765977105525569258102767 absolute error = 8.23362068442e-20 relative error = 6.6018405975110737050716877077143e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.821 y[1] (analytic) = 1.2466195269916970083185649605106 y[1] (numeric) = 1.2466195269916970082361872434978 absolute error = 8.23777170128e-20 relative error = 6.6080881318770381340169434533721e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.822 y[1] (analytic) = 1.2460681901037304391254745383292 y[1] (numeric) = 1.2460681901037304390430553150511 absolute error = 8.24192232781e-20 relative error = 6.6143429334504488899493578485242e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.823 y[1] (analytic) = 1.2455164661359469156576889688974 y[1] (numeric) = 1.2455164661359469155752282432571 absolute error = 8.24607256403e-20 relative error = 6.6206050166581652949399867120745e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.5MB, time=131.37 NO POLE x[1] = 0.824 y[1] (analytic) = 1.2449643552904352954262740934722 y[1] (numeric) = 1.2449643552904352953437718693723 absolute error = 8.25022240999e-20 relative error = 6.6268743959864792892394539246990e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.825 y[1] (analytic) = 1.2444118577692372301663842793806 y[1] (numeric) = 1.2444118577692372300838405607233 absolute error = 8.25437186573e-20 relative error = 6.6331510859491378434923906554560e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.826 y[1] (analytic) = 1.2438589737743471731471296248266 y[1] (numeric) = 1.2438589737743471730645444155143 absolute error = 8.25852093123e-20 relative error = 6.6394351010472408259181663125104e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.827 y[1] (analytic) = 1.243305703507712386480589545651 y[1] (numeric) = 1.2433057035077123863979628495854 absolute error = 8.26266960656e-20 relative error = 6.6457264558898933653350674192502e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.828 y[1] (analytic) = 1.2427520471712329484299728243137 y[1] (numeric) = 1.2427520471712329483473046453962 absolute error = 8.26681789175e-20 relative error = 6.6520251650898742136220227894043e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.829 y[1] (analytic) = 1.2421980049667617607169242013675 y[1] (numeric) = 1.2421980049667617606342145434993 absolute error = 8.27096578682e-20 relative error = 6.6583312432878293079293590159820e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.5MB, time=131.80 NO POLE x[1] = 0.83 y[1] (analytic) = 1.2416435770961045558279775896833 y[1] (numeric) = 1.2416435770961045557452264567651 absolute error = 8.27511329182e-20 relative error = 6.6646447051845839660449940103776e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.831 y[1] (analytic) = 1.2410887637610199043201559916781 y[1] (numeric) = 1.2410887637610199042373633876106 absolute error = 8.27926040675e-20 relative error = 6.6709655654768525397065015324329e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.832 y[1] (analytic) = 1.2405335651632192221257181997966 y[1] (numeric) = 1.2405335651632192220428841284801 absolute error = 8.28340713165e-20 relative error = 6.6772938389298134740151308773519e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.833 y[1] (analytic) = 1.2399779815043667778560523604842 y[1] (numeric) = 1.2399779815043667777731768258186 absolute error = 8.28755346656e-20 relative error = 6.6836295403450388401313429836210e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.834 y[1] (analytic) = 1.2394220129860797001047164818879 y[1] (numeric) = 1.2394220129860797000217994877728 absolute error = 8.29169941151e-20 relative error = 6.6899726845525426584949854010028e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.835 y[1] (analytic) = 1.2388656598099279847496259655129 y[1] (numeric) = 1.2388656598099279846666675158476 absolute error = 8.29584496653e-20 relative error = 6.6963232864189517221888753987053e-18 % memory used=1255.0MB, alloc=4.5MB, time=132.23 Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.836 y[1] (analytic) = 1.2383089221774345022543882420576 y[1] (numeric) = 1.238308922177434502171388340741 absolute error = 8.29999013166e-20 relative error = 6.7026813608556985499671652252410e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.837 y[1] (analytic) = 1.2377518002900750049687845916414 y[1] (numeric) = 1.2377518002900750048857432425723 absolute error = 8.30413490691e-20 relative error = 6.7090469227868407709338804345338e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.838 y[1] (analytic) = 1.2371942943492781344283992286364 y[1] (numeric) = 1.2371942943492781343453164357132 absolute error = 8.30827929232e-20 relative error = 6.7154199871976217140300115674481e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.839 y[1] (analytic) = 1.2366364045564254286533957313046 y[1] (numeric) = 1.2366364045564254285702714984253 absolute error = 8.31242328793e-20 relative error = 6.7218005691103843947732554259790e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.84 y[1] (analytic) = 1.2360781311128513294464408964378 y[1] (numeric) = 1.2360781311128513293632752275003 absolute error = 8.31656689375e-20 relative error = 6.7281886835604204717490528199248e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.5MB, time=132.66 NO POLE x[1] = 0.841 y[1] (analytic) = 1.2355194742198431896897760991915 y[1] (numeric) = 1.2355194742198431896065689980933 absolute error = 8.32071010982e-20 relative error = 6.7345843456445976635562589840708e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.842 y[1] (analytic) = 1.2349604340786412806414362382955 y[1] (numeric) = 1.2349604340786412805581877089338 absolute error = 8.32485293617e-20 relative error = 6.7409875704891450025748190903423e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.843 y[1] (analytic) = 1.2344010108904387992306163468202 y[1] (numeric) = 1.2344010108904387991473263930917 absolute error = 8.32899537285e-20 relative error = 6.7473983732740583990377919229991e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.844 y[1] (analytic) = 1.2338412048563818753521859486687 y[1] (numeric) = 1.23384120485638187526885457447 absolute error = 8.33313741987e-20 relative error = 6.7538167691846297989417973316536e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.845 y[1] (analytic) = 1.2332810161775695791603512409619 y[1] (numeric) = 1.2332810161775695790769784501892 absolute error = 8.33727907727e-20 relative error = 6.7602427734682543233872630956008e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.846 y[1] (analytic) = 1.232720445055053928361465182473 y[1] (numeric) = 1.2327204450550539282780509790222 absolute error = 8.34142034508e-20 relative error = 6.7666764014021588505023850135229e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1262.7MB, alloc=4.5MB, time=133.09 NO POLE x[1] = 0.847 y[1] (analytic) = 1.2321594916898398955059855682657 y[1] (numeric) = 1.2321594916898398954225299560326 absolute error = 8.34556122331e-20 relative error = 6.7731176682853901869269144891069e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.848 y[1] (analytic) = 1.231598156282885415279581170682 y[1] (numeric) = 1.2315981562828854151960841535618 absolute error = 8.34970171202e-20 relative error = 6.7795665894957376746144823258226e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.849 y[1] (analytic) = 1.231036439035101391793386026818 y[1] (numeric) = 1.2310364390351013917098476087057 absolute error = 8.35384181123e-20 relative error = 6.7860231804168399125878263220428e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.85 y[1] (analytic) = 1.2304743401473517058734019526235 y[1] (numeric) = 1.2304743401473517057898221374139 absolute error = 8.35798152096e-20 relative error = 6.7924874564707423205309190184347e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.851 y[1] (analytic) = 1.2299118598204532223490493637513 y[1] (numeric) = 1.2299118598204532222654281553387 absolute error = 8.36212084126e-20 relative error = 6.7989594331424133576533315722328e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.5MB, time=133.51 NO POLE x[1] = 0.852 y[1] (analytic) = 1.2293489982551757973408664832763 y[1] (numeric) = 1.2293489982551757972572038855549 absolute error = 8.36625977214e-20 relative error = 6.8054391259229843572767714607997e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.853 y[1] (analytic) = 1.2287857556522422855473570164014 y[1] (numeric) = 1.2287857556522422854636530332651 absolute error = 8.37039831363e-20 relative error = 6.8119265503586290010445022276008e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.854 y[1] (analytic) = 1.2282221322123285475309863722566 y[1] (numeric) = 1.2282221322123285474472410075985 absolute error = 8.37453646581e-20 relative error = 6.8184217220751518091827188934188e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.855 y[1] (analytic) = 1.2276581281360634570033265128922 y[1] (numeric) = 1.2276581281360634569195397706057 absolute error = 8.37867422865e-20 relative error = 6.8249246566478784046540751878511e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.856 y[1] (analytic) = 1.227093743624028908109349509566 y[1] (numeric) = 1.2270937436240289080255213935439 absolute error = 8.38281160221e-20 relative error = 6.8314353697645631670262940314479e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.857 y[1] (analytic) = 1.2265289788767598227108698864088 y[1] (numeric) = 1.2265289788767598226270004005437 absolute error = 8.38694858651e-20 relative error = 6.8379538771196947382611542934872e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.5MB, time=133.94 NO POLE x[1] = 0.858 y[1] (analytic) = 1.2259638340947441576691358315543 y[1] (numeric) = 1.2259638340947441575852249797385 absolute error = 8.39108518158e-20 relative error = 6.8444801944553329207697055619616e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.859 y[1] (analytic) = 1.2253983094784229121265693558093 y[1] (numeric) = 1.2253983094784229120426171419347 absolute error = 8.39522138746e-20 relative error = 6.8510143375612555783305431805467e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.86 y[1] (analytic) = 1.2248324052281901347876554789341 y[1] (numeric) = 1.2248324052281901347036619068924 absolute error = 8.39935720417e-20 relative error = 6.8575563222506129714225626118612e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.861 y[1] (analytic) = 1.2242661215443929311989805235985 y[1] (numeric) = 1.2242661215443929311149455972808 absolute error = 8.40349263177e-20 relative error = 6.8641061644090281291843228709766e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.862 y[1] (analytic) = 1.2236994586273314710284195970681 y[1] (numeric) = 1.2236994586273314709443433203657 absolute error = 8.40762767024e-20 relative error = 6.8706638798967387638432295882560e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.863 y[1] (analytic) = 1.2231324166772589953434733406778 y[1] (numeric) = 1.2231324166772589952593557174812 absolute error = 8.41176231966e-20 relative error = 6.8772294846957391639013276117422e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.5MB, time=134.33 NO POLE x[1] = 0.864 y[1] (analytic) = 1.2225649958943818238887540271304 y[1] (numeric) = 1.2225649958943818238045950613302 absolute error = 8.41589658002e-20 relative error = 6.8838029947546892770804663297314e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.865 y[1] (analytic) = 1.2219971964788593623626210856666 y[1] (numeric) = 1.2219971964788593622784207811527 absolute error = 8.42003045139e-20 relative error = 6.8903844261279916286084629584702e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.866 y[1] (analytic) = 1.2214290186308041096929661351319 y[1] (numeric) = 1.2214290186308041096087244957942 absolute error = 8.42416393377e-20 relative error = 6.8969737948532679987154736318919e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.867 y[1] (analytic) = 1.2208604625502816653121476049728 y[1] (numeric) = 1.2208604625502816652278646347008 absolute error = 8.42829702720e-20 relative error = 6.9035711170414587388886896569771e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.868 y[1] (analytic) = 1.2202915284373107364310750241774 y[1] (numeric) = 1.2202915284373107363467507268602 absolute error = 8.43242973172e-20 relative error = 6.9101764088442525561643320224553e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.5MB, time=134.74 NO POLE x[1] = 0.869 y[1] (analytic) = 1.2197222164918631453124430581763 y[1] (numeric) = 1.2197222164918631452280774377029 absolute error = 8.43656204734e-20 relative error = 6.9167896864296239639600517151922e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.87 y[1] (analytic) = 1.2191525269138638365431153737114 y[1] (numeric) = 1.2191525269138638364587084339703 absolute error = 8.44069397411e-20 relative error = 6.9234109660393264793273491052648e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.871 y[1] (analytic) = 1.2185824599031908843056584116715 y[1] (numeric) = 1.2185824599031908842212101565509 absolute error = 8.44482551206e-20 relative error = 6.9300402639398658911258249968435e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.872 y[1] (analytic) = 1.218012015659675499649025147891 y[1] (numeric) = 1.218012015659675499564535581279 absolute error = 8.44895666120e-20 relative error = 6.9366775964225966528546311058040e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.873 y[1] (analytic) = 1.2174411943831020377583889219003 y[1] (numeric) = 1.2174411943831020376738580476845 absolute error = 8.45308742158e-20 relative error = 6.9433229798531023073001317517498e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.874 y[1] (analytic) = 1.216869996273208005224127413608 y[1] (numeric) = 1.2168699962732080051395552356757 absolute error = 8.45721779323e-20 relative error = 6.9499764306221013958133901813372e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.5MB, time=135.15 NO POLE x[1] = 0.875 y[1] (analytic) = 1.2162984215296840673099568478926 y[1] (numeric) = 1.2162984215296840672253433701307 absolute error = 8.46134777619e-20 relative error = 6.9566379651702102372504692404546e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.876 y[1] (analytic) = 1.2157264703521740552202165070714 y[1] (numeric) = 1.2157264703521740551355617333668 absolute error = 8.46547737046e-20 relative error = 6.9633075999469713979172650740280e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.877 y[1] (analytic) = 1.2151541429402749733663036312118 y[1] (numeric) = 1.2151541429402749732816075654509 absolute error = 8.46960657609e-20 relative error = 6.9699853514849782812730070856545e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.878 y[1] (analytic) = 1.2145814394935370066322587862393 y[1] (numeric) = 1.2145814394935370065475214323082 absolute error = 8.47373539311e-20 relative error = 6.9766712363424767943931620746513e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.879 y[1] (analytic) = 1.2140083602114635276395017797947 y[1] (numeric) = 1.2140083602114635275547231415791 absolute error = 8.47786382156e-20 relative error = 6.9833652711281765349392239778317e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1285.6MB, alloc=4.5MB, time=135.55 Complex estimate of poles used Radius of convergence = 243.7 Order of pole = 313.6 x[1] = 0.88 y[1] (analytic) = 1.2134349052935111040107182047827 y[1] (numeric) = 1.2134349052935111039258982861684 absolute error = 8.48199186143e-20 relative error = 6.9900674724519627849762685386078e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.881 y[1] (analytic) = 1.2128610749390895056328966905532 y[1] (numeric) = 1.2128610749390895055480354954251 absolute error = 8.48611951281e-20 relative error = 6.9967778570486130888895356065787e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.882 y[1] (analytic) = 1.212286869347561711919516941641 y[1] (numeric) = 1.2122868693475617118346144738842 absolute error = 8.49024677568e-20 relative error = 7.0034964416049059649870328406872e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.883 y[1] (analytic) = 1.2117122887182439190718886439967 y[1] (numeric) = 1.2117122887182439189869449074956 absolute error = 8.49437365011e-20 relative error = 7.0102232429246023990416024470881e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.884 y[1] (analytic) = 1.2111373332504055473396413186202 y[1] (numeric) = 1.2111373332504055472546563172591 absolute error = 8.49850013611e-20 relative error = 7.0169582778049124192812195181388e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.885 y[1] (analytic) = 1.2105620031432692482803652025153 y[1] (numeric) = 1.2105620031432692481953389401782 absolute error = 8.50262623371e-20 relative error = 7.0237015631026043008130528807244e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1289.4MB, alloc=4.5MB, time=135.96 NO POLE x[1] = 0.886 y[1] (analytic) = 1.2099862985960109120184032368682 y[1] (numeric) = 1.2099862985960109119333357174388 absolute error = 8.50675194294e-20 relative error = 7.0304531157176568511840244918570e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.887 y[1] (analytic) = 1.2094102198077596745027942423518 y[1] (numeric) = 1.2094102198077596744176854697134 absolute error = 8.51087726384e-20 relative error = 7.0372129526016706792847323257767e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.888 y[1] (analytic) = 1.2088337669775979247643673614482 y[1] (numeric) = 1.2088337669775979246792173394838 absolute error = 8.51500219644e-20 relative error = 7.0439810907414863720903690090578e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.889 y[1] (analytic) = 1.2082569403045613121719878476777 y[1] (numeric) = 1.2082569403045613120867965802702 absolute error = 8.51912674075e-20 relative error = 7.0507575471510323206859752191663e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.89 y[1] (analytic) = 1.2076797399876387536879542816159 y[1] (numeric) = 1.2076797399876387536027217726477 absolute error = 8.52325089682e-20 relative error = 7.0575423389211116675759544538614e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.891 y[1] (analytic) = 1.2071021662257724411225472935717 y[1] (numeric) = 1.2071021662257724410372735469249 absolute error = 8.52737466468e-20 relative error = 7.0643354831699206254726390808794e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.5MB, time=136.35 NO POLE x[1] = 0.892 y[1] (analytic) = 1.2065242192178578483877298727968 y[1] (numeric) = 1.2065242192178578483024148923533 absolute error = 8.53149804435e-20 relative error = 7.0711369970514427843138880922197e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.893 y[1] (analytic) = 1.2059458991627437387499993430885 y[1] (numeric) = 1.2059458991627437386646431327296 absolute error = 8.53562103589e-20 relative error = 7.0779468977970366307274541920636e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.894 y[1] (analytic) = 1.2053672062592321720823910846398 y[1] (numeric) = 1.205367206259232171996993648247 absolute error = 8.53974363928e-20 relative error = 7.0847652026161071183415661800125e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.895 y[1] (analytic) = 1.2047881407060785121156340819906 y[1] (numeric) = 1.2047881407060785120301954234446 absolute error = 8.54386585460e-20 relative error = 7.0915919288454975348193015082063e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.896 y[1] (analytic) = 1.2042087027019914336884583779174 y[1] (numeric) = 1.2042087027019914336029785010989 absolute error = 8.54798768185e-20 relative error = 7.0984270938003610170640400761289e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.5MB, time=136.75 NO POLE x[1] = 0.897 y[1] (analytic) = 1.2036288924456329299970545131048 y[1] (numeric) = 1.2036288924456329299115334218941 absolute error = 8.55210912107e-20 relative error = 7.1052707148738478379002729101985e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.898 y[1] (analytic) = 1.2030487101356183198436850314248 y[1] (numeric) = 1.2030487101356183197581227297018 absolute error = 8.55623017230e-20 relative error = 7.1121228095040855445105852270834e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.899 y[1] (analytic) = 1.20246815597051625488444813065 y[1] (numeric) = 1.2024681559705162547988446222944 absolute error = 8.56035083556e-20 relative error = 7.1189833951576962108796797019306e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.9 y[1] (analytic) = 1.2018872301488487268761935384199 y[1] (numeric) = 1.2018872301488487267905488273111 absolute error = 8.56447111088e-20 relative error = 7.1258524893548672857202863663968e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.901 y[1] (analytic) = 1.2013059328690910749225906932704 y[1] (numeric) = 1.2013059328690910748369047832875 absolute error = 8.56859099829e-20 relative error = 7.1327301096611982116324229166817e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.902 y[1] (analytic) = 1.2007242643296719927193493105326 y[1] (numeric) = 1.2007242643296719926336222055543 absolute error = 8.57271049783e-20 relative error = 7.1396162736961801546463002447298e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.5MB, time=137.16 NO POLE x[1] = 0.903 y[1] (analytic) = 1.2001422247289735357985924129004 y[1] (numeric) = 1.2001422247289735357128241168052 absolute error = 8.57682960952e-20 relative error = 7.1465109991083711828111126837388e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.904 y[1] (analytic) = 1.1995598142653311287723819054602 y[1] (numeric) = 1.1995598142653311286865724221261 absolute error = 8.58094833341e-20 relative error = 7.1534143036171904540349570315516e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.905 y[1] (analytic) = 1.1989770331370335725753967749673 y[1] (numeric) = 1.1989770331370335724895461082725 absolute error = 8.58506666948e-20 relative error = 7.1603262049297277234277487574200e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.906 y[1] (analytic) = 1.1983938815423230517067639931535 y[1] (numeric) = 1.1983938815423230516208721469753 absolute error = 8.58918461782e-20 relative error = 7.1672467208909562898470100200798e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.907 y[1] (analytic) = 1.197810359679395141471042203834 y[1] (numeric) = 1.1978103596793951413851091820496 absolute error = 8.59330217844e-20 relative error = 7.1741758693254879175088791740951e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.5MB, time=137.57 NO POLE x[1] = 0.908 y[1] (analytic) = 1.1972264677463988152183582735873 y[1] (numeric) = 1.1972264677463988151323840800736 absolute error = 8.59741935137e-20 relative error = 7.1811136681210918018955374627162e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.909 y[1] (analytic) = 1.1966422059414364515836967857658 y[1] (numeric) = 1.1966422059414364514976814243994 absolute error = 8.60153613664e-20 relative error = 7.1880601352121774549441200162421e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.91 y[1] (analytic) = 1.1960575744625638417253425575932 y[1] (numeric) = 1.1960575744625638416392860322507 absolute error = 8.60565253425e-20 relative error = 7.1950152885548685859945784317984e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.911 y[1] (analytic) = 1.1954725735077901965624762600993 y[1] (numeric) = 1.1954725735077901964763785746564 absolute error = 8.60976854429e-20 relative error = 7.2019791462274773523376301826606e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.912 y[1] (analytic) = 1.1948872032750781540119232206302 y[1] (numeric) = 1.1948872032750781539257843789627 absolute error = 8.61388416675e-20 relative error = 7.2089517262718352727860592285757e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.913 y[1] (analytic) = 1.1943014639623437862240554876765 y[1] (numeric) = 1.1943014639623437861378754936599 absolute error = 8.61799940166e-20 relative error = 7.2159330468104698876962924611198e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.5MB, time=137.97 NO POLE x[1] = 0.914 y[1] (analytic) = 1.1937153557674566068178472377445 y[1] (numeric) = 1.1937153557674566067316260952538 absolute error = 8.62211424907e-20 relative error = 7.2229231260300910901751685275078e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.915 y[1] (analytic) = 1.1931288788882395781150836039957 y[1] (numeric) = 1.1931288788882395780288213169058 absolute error = 8.62622870899e-20 relative error = 7.2299219821315037760627767381330e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.916 y[1] (analytic) = 1.1925420335224691183737230063734 y[1] (numeric) = 1.1925420335224691182874195785586 absolute error = 8.63034278148e-20 relative error = 7.2369296334051545793205080686492e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.917 y[1] (analytic) = 1.1919548198678751090204130629245 y[1] (numeric) = 1.191954819867875108934068498259 absolute error = 8.63445646655e-20 relative error = 7.2439460981474999098369706663769e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.918 y[1] (analytic) = 1.1913672381221409018821601620246 y[1] (numeric) = 1.1913672381221409017957744643824 absolute error = 8.63856976422e-20 relative error = 7.2509713947114263472202360919388e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.919 y[1] (analytic) = 1.1907792884829033264171527752032 y[1] (numeric) = 1.1907792884829033263307259484578 absolute error = 8.64268267454e-20 relative error = 7.2580055415232289300990130165156e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1312.3MB, alloc=4.5MB, time=138.38 NO POLE x[1] = 0.92 y[1] (analytic) = 1.1901909711477526969447385902606 y[1] (numeric) = 1.1901909711477526968582706382852 absolute error = 8.64679519754e-20 relative error = 7.2650485570408259148713844990658e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.921 y[1] (analytic) = 1.1896022863142328198745555443641 y[1] (numeric) = 1.1896022863142328197880464710318 absolute error = 8.65090733323e-20 relative error = 7.2721004597538806058754381670513e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.922 y[1] (analytic) = 1.1890132341798410009348168368027 y[1] (numeric) = 1.1890132341798410008482666459861 absolute error = 8.65501908166e-20 relative error = 7.2791612682343856498697114913644e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.923 y[1] (analytic) = 1.1884238149420280523997500010729 y[1] (numeric) = 1.1884238149420280523131586966442 absolute error = 8.65913044287e-20 relative error = 7.2862310010948383778381175094538e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.924 y[1] (analytic) = 1.1878340287981983003161901159627 y[1] (numeric) = 1.1878340287981983002295577017941 absolute error = 8.66324141686e-20 relative error = 7.2933096769631292396082196137873e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1316.1MB, alloc=4.6MB, time=138.79 NO POLE x[1] = 0.925 y[1] (analytic) = 1.1872438759457095917293272352971 y[1] (numeric) = 1.1872438759457095916426537152602 absolute error = 8.66735200369e-20 relative error = 7.3003973145668527758705891232084e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.926 y[1] (analytic) = 1.186653356581873301907608115995 y[1] (numeric) = 1.1866533565818733018208934939614 absolute error = 8.67146220336e-20 relative error = 7.3074939326324750028763491310894e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.927 y[1] (analytic) = 1.1860624709039543415667923240913 y[1] (numeric) = 1.1860624709039543414800366039319 absolute error = 8.67557201594e-20 relative error = 7.3145995499949812761207521122375e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.928 y[1] (analytic) = 1.1854712191091711640931627983603 y[1] (numeric) = 1.185471219109171164006365983946 absolute error = 8.67968144143e-20 relative error = 7.3217141854800946788854220026089e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.929 y[1] (analytic) = 1.1848796013946957727658909511816 y[1] (numeric) = 1.1848796013946957726790530463829 absolute error = 8.68379047987e-20 relative error = 7.3288378579971339030267466493757e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.93 y[1] (analytic) = 1.1842876179576537279785563862737 y[1] (numeric) = 1.1842876179576537278916773949609 absolute error = 8.68789913128e-20 relative error = 7.3359705864886033166284067663960e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=139.19 NO POLE x[1] = 0.931 y[1] (analytic) = 1.1836952689951241544598213129211 y[1] (numeric) = 1.1836952689951241543729012389639 absolute error = 8.69200739572e-20 relative error = 7.3431123899810094466109754848551e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.932 y[1] (analytic) = 1.183102554704139748493259736309 y[1] (numeric) = 1.1831025547041397484062985835773 absolute error = 8.69611527317e-20 relative error = 7.3502632874836879587971842680985e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.933 y[1] (analytic) = 1.1825094752816867851363415035807 y[1] (numeric) = 1.1825094752816867850493392759435 absolute error = 8.70022276372e-20 relative error = 7.3574232981494808608252835622697e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.934 y[1] (analytic) = 1.1819160309247051254385712852154 y[1] (numeric) = 1.1819160309247051253515279865417 absolute error = 8.70432986737e-20 relative error = 7.3645924411059249470905236487710e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.935 y[1] (analytic) = 1.1813222218300882236587825713306 y[1] (numeric) = 1.1813222218300882235716982054893 absolute error = 8.70843658413e-20 relative error = 7.3717707355398844435314319684037e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1323.7MB, alloc=4.6MB, time=139.60 x[1] = 0.936 y[1] (analytic) = 1.1807280481946831344815867624979 y[1] (numeric) = 1.1807280481946831343944613333571 absolute error = 8.71254291408e-20 relative error = 7.3789582007485616097345900343336e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.937 y[1] (analytic) = 1.1801335102152905202329774346561 y[1] (numeric) = 1.1801335102152905201458109460839 absolute error = 8.71664885722e-20 relative error = 7.3861548560127157803761456470328e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.938 y[1] (analytic) = 1.1795386080886646580950898577047 y[1] (numeric) = 1.1795386080886646580078823135689 absolute error = 8.72075441358e-20 relative error = 7.3933607206899243772157737732637e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.939 y[1] (analytic) = 1.178943342011513447320115847347 y[1] (numeric) = 1.1789433420115134472328672515151 absolute error = 8.72485958319e-20 relative error = 7.4005758141893759133887259993900e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.94 y[1] (analytic) = 1.1783477121804984164433740297515 y[1] (numeric) = 1.1783477121804984163560843860908 absolute error = 8.72896436607e-20 relative error = 7.4078001559635597633507335246139e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.941 y[1] (analytic) = 1.1777517187922347304955355985911 y[1] (numeric) = 1.1777517187922347304082049109682 absolute error = 8.73306876229e-20 relative error = 7.4150337655593661576189516180845e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=140.01 NO POLE x[1] = 0.942 y[1] (analytic) = 1.1771553620432911982140056440129 y[1] (numeric) = 1.1771553620432911981266339162945 absolute error = 8.73717277184e-20 relative error = 7.4222766625079355921110612810586e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.943 y[1] (analytic) = 1.1765586421301902792534601330901 y[1] (numeric) = 1.1765586421301902791660473691424 absolute error = 8.74127639477e-20 relative error = 7.4295288664436562458703671485033e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.944 y[1] (analytic) = 1.1759615592494080913955386212924 y[1] (numeric) = 1.1759615592494080913080848249814 absolute error = 8.74537963110e-20 relative error = 7.4367903970279391598450981338565e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.945 y[1] (analytic) = 1.1753641135973744177576927745142 y[1] (numeric) = 1.1753641135973744176701979497055 absolute error = 8.74948248087e-20 relative error = 7.4440612739918733852787931201594e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.946 y[1] (analytic) = 1.1747663053704727140011907811873 y[1] (numeric) = 1.174766305370472713913654931746 absolute error = 8.75358494413e-20 relative error = 7.4513415171279374455669824578598e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.947 y[1] (analytic) = 1.1741681347650401155382777340006 y[1] (numeric) = 1.1741681347650401154507008637918 absolute error = 8.75768702088e-20 relative error = 7.4586311462391023857609137101287e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=140.42 NO POLE x[1] = 0.948 y[1] (analytic) = 1.1735696019773674447384920607453 y[1] (numeric) = 1.1735696019773674446508741736338 absolute error = 8.76178871115e-20 relative error = 7.4659301812070734577570705284241e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.949 y[1] (analytic) = 1.172970707203699218134138083793 y[1] (numeric) = 1.1729707072036992180464791836431 absolute error = 8.76589001499e-20 relative error = 7.4732386419840125911158229423064e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.95 y[1] (analytic) = 1.1723714506402336536249147877116 y[1] (numeric) = 1.1723714506402336535372148783875 absolute error = 8.76999093241e-20 relative error = 7.4805565485415871819289333671501e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.951 y[1] (analytic) = 1.1717718324831226776817008745176 y[1] (numeric) = 1.1717718324831226775939599598829 absolute error = 8.77409146347e-20 relative error = 7.4878839209478739799079841067316e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.952 y[1] (analytic) = 1.1711718529284719325494961860531 y[1] (numeric) = 1.1711718529284719324617142699714 absolute error = 8.77819160817e-20 relative error = 7.4952207792737302554147953353231e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.6MB, time=140.83 NO POLE x[1] = 0.953 y[1] (analytic) = 1.1705715121723407834495195729763 y[1] (numeric) = 1.1705715121723407833616966593108 absolute error = 8.78229136655e-20 relative error = 7.5025671436782767873953364241084e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.954 y[1] (analytic) = 1.1699708104107423257804632898407 y[1] (numeric) = 1.1699708104107423256925993824543 absolute error = 8.78639073864e-20 relative error = 7.5099230343664358142679269184778e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.955 y[1] (analytic) = 1.1693697478396433923189039957376 y[1] (numeric) = 1.1693697478396433922309990984928 absolute error = 8.79048972448e-20 relative error = 7.5172884716061996827602052539080e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.956 y[1] (analytic) = 1.1687683246549645604188704399664 y[1] (numeric) = 1.1687683246549645603309245567256 absolute error = 8.79458832408e-20 relative error = 7.5246634756946168694607310961499e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.957 y[1] (analytic) = 1.1681665410525801592105679121953 y[1] (numeric) = 1.1681665410525801591225810468203 absolute error = 8.79868653750e-20 relative error = 7.5320480670263981764344179163212e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.958 y[1] (analytic) = 1.1675643972283182767982595365612 y[1] (numeric) = 1.1675643972283182767102316929138 absolute error = 8.80278436474e-20 relative error = 7.5394422660000033675289553437321e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1339.0MB, alloc=4.6MB, time=141.22 NO POLE x[1] = 0.959 y[1] (analytic) = 1.166961893377960767457304489162 y[1] (numeric) = 1.1669618933779607673692356711036 absolute error = 8.80688180584e-20 relative error = 7.5468460931033917306916568301133e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.96 y[1] (analytic) = 1.1663590296972432588303532183775 y[1] (numeric) = 1.166359029697243258742243429769 absolute error = 8.81097886085e-20 relative error = 7.5542595688885805677059211074977e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.961 y[1] (analytic) = 1.1657558063818551591226997474557 y[1] (numeric) = 1.1657558063818551590345489921578 absolute error = 8.81507552979e-20 relative error = 7.5616827139375469205546551189481e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.962 y[1] (analytic) = 1.1651522236274396642967911387932 y[1] (numeric) = 1.1651522236274396642085994206665 absolute error = 8.81917181267e-20 relative error = 7.5691155488795189647828639304289e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.963 y[1] (analytic) = 1.1645482816295937652658941993317 y[1] (numeric) = 1.1645482816295937651776615222363 absolute error = 8.82326770954e-20 relative error = 7.5765580944340823440444868120357e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.964 y[1] (analytic) = 1.1639439805838682550869195064857 y[1] (numeric) = 1.1639439805838682549986458742814 memory used=1342.8MB, alloc=4.6MB, time=141.62 absolute error = 8.82736322043e-20 relative error = 7.5840103713599146738256133287304e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.965 y[1] (analytic) = 1.163339320685767736152402834012 y[1] (numeric) = 1.1633393206857677360640882505582 absolute error = 8.83145834538e-20 relative error = 7.5914724004807240228576531454700e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.966 y[1] (analytic) = 1.1627343021307506273816440572239 y[1] (numeric) = 1.1627343021307506272932885263801 absolute error = 8.83555308438e-20 relative error = 7.5989442026338647383153535259862e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.967 y[1] (analytic) = 1.1621289251142291714110036169489 y[1] (numeric) = 1.1621289251142291713226071425737 absolute error = 8.83964743752e-20 relative error = 7.6064257987994957475168706347991e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.968 y[1] (analytic) = 1.1615231898315694417833566216164 y[1] (numeric) = 1.1615231898315694416949192075685 absolute error = 8.84374140479e-20 relative error = 7.6139172099288145300685887456711e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.969 y[1] (analytic) = 1.1609170964780913501367046668661 y[1] (numeric) = 1.1609170964780913500482263170038 absolute error = 8.84783498623e-20 relative error = 7.6214184570732394140753134782246e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=142.02 NO POLE x[1] = 0.97 y[1] (analytic) = 1.1603106452490686533919454520502 y[1] (numeric) = 1.1603106452490686533034261702316 absolute error = 8.85192818186e-20 relative error = 7.6289295613243923891941269279724e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.971 y[1] (analytic) = 1.1597038363397289609398002730047 y[1] (numeric) = 1.1597038363397289608512400630874 absolute error = 8.85602099173e-20 relative error = 7.6364505438573685906710784342448e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.972 y[1] (analytic) = 1.1590966699452537418268994704534 y[1] (numeric) = 1.1590966699452537417382983362949 absolute error = 8.86011341585e-20 relative error = 7.6439814258706130012530341292822e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.973 y[1] (analytic) = 1.1584891462607783319410259134062 y[1] (numeric) = 1.1584891462607783318523838588635 absolute error = 8.86420545427e-20 relative error = 7.6515222286550872841769768891775e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.974 y[1] (analytic) = 1.1578812654813919411955165969033 y[1] (numeric) = 1.1578812654813919411068336258331 absolute error = 8.86829710702e-20 relative error = 7.6590729735427440338696048595693e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.975 y[1] (analytic) = 1.1572730278021376607128224334528 y[1] (numeric) = 1.1572730278021376606240985497116 absolute error = 8.87238837412e-20 relative error = 7.6666336819153259266676986722091e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.6MB, time=142.42 NO POLE x[1] = 0.976 y[1] (analytic) = 1.156664433418012470007226317503 y[1] (numeric) = 1.1566644334180124699184615249473 absolute error = 8.87647925557e-20 relative error = 7.6742043751959016740891678908733e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.977 y[1] (analytic) = 1.1560554825239672441667195422843 y[1] (numeric) = 1.1560554825239672440779138447696 absolute error = 8.88056975147e-20 relative error = 7.6817850749528267398466696181374e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.978 y[1] (analytic) = 1.1554461753149067610340366483452 y[1] (numeric) = 1.1554461753149067609451900497271 absolute error = 8.88465986181e-20 relative error = 7.6893758027184291571110561674887e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.979 y[1] (analytic) = 1.1548365119856897083868487831102 y[1] (numeric) = 1.1548365119856897082979612872441 absolute error = 8.88874958661e-20 relative error = 7.6969765801101948354408907506284e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.98 y[1] (analytic) = 1.1542264927311286911171156507711 y[1] (numeric) = 1.1542264927311286910281872615119 absolute error = 8.89283892592e-20 relative error = 7.7045874288310435674538093046240e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.6MB, time=142.83 NO POLE x[1] = 0.981 y[1] (analytic) = 1.1536161177459902384095961318216 y[1] (numeric) = 1.1536161177459902383206268530241 absolute error = 8.89692787975e-20 relative error = 7.7122083706089274747406838385822e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.867 Order of pole = 1.069 x[1] = 0.982 y[1] (analytic) = 1.1530053872249948109195176515405 y[1] (numeric) = 1.1530053872249948108305074870589 absolute error = 8.90101644816e-20 relative error = 7.7198394272750056004128822658731e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.983 y[1] (analytic) = 1.1523943013628168079494043767172 y[1] (numeric) = 1.1523943013628168078603533304056 absolute error = 8.90510463116e-20 relative error = 7.7274806206771931508493451678553e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.984 y[1] (analytic) = 1.1517828603540845746250643199135 y[1] (numeric) = 1.1517828603540845745359723956254 absolute error = 8.90919242881e-20 relative error = 7.7351319727670796262361761515719e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.985 y[1] (analytic) = 1.1511710643933804090707354305426 y[1] (numeric) = 1.1511710643933804089816026321317 absolute error = 8.91327984109e-20 relative error = 7.7427935054873275753751585801403e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.986 y[1] (analytic) = 1.1505589136752405695833907520476 y[1] (numeric) = 1.1505589136752405694942170833669 absolute error = 8.91736686807e-20 relative error = 7.7504652409194551484781512241893e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=143.25 NO POLE x[1] = 0.987 y[1] (analytic) = 1.1499464083941552818062027244462 y[1] (numeric) = 1.1499464083941552817169881893486 absolute error = 8.92145350976e-20 relative error = 7.7581472011538169904307526039851e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.988 y[1] (analytic) = 1.1493335487445687459011667115121 y[1] (numeric) = 1.1493335487445687458119113138502 absolute error = 8.92553976619e-20 relative error = 7.7658394083592856987135193033191e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.989 y[1] (analytic) = 1.1487203349208791437208838318494 y[1] (numeric) = 1.1487203349208791436315875754752 absolute error = 8.92962563742e-20 relative error = 7.7735418847922190654406191724974e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.99 y[1] (analytic) = 1.1481067671174386459795031731133 y[1] (numeric) = 1.1481067671174386458901660618788 absolute error = 8.93371112345e-20 relative error = 7.7812546527183564536581527076002e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.991 y[1] (analytic) = 1.1474928455285534194228234686258 y[1] (numeric) = 1.1474928455285534193334455063827 absolute error = 8.93779622431e-20 relative error = 7.7889777344913285142325846094521e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.992 y[1] (analytic) = 1.146878570348483633997554315625 y[1] (numeric) = 1.1468785703484836339081355062245 absolute error = 8.94188094005e-20 relative error = 7.7967111525442259892711467057787e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.6MB, time=143.66 NO POLE x[1] = 0.993 y[1] (analytic) = 1.1462639417714434700197370143824 y[1] (numeric) = 1.1462639417714434699302773616755 absolute error = 8.94596527069e-20 relative error = 7.8044549293462457506481840097070e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.994 y[1] (analytic) = 1.1456489599916011253423251074181 y[1] (numeric) = 1.1456489599916011252528246152554 absolute error = 8.95004921627e-20 relative error = 7.8122090874464842746638654266134e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.995 y[1] (analytic) = 1.1450336252030788225219246980329 y[1] (numeric) = 1.1450336252030788224323833702649 absolute error = 8.95413277680e-20 relative error = 7.8199736494305387399616040413302e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.996 y[1] (analytic) = 1.1444179375999528159846946273754 y[1] (numeric) = 1.1444179375999528158951124678522 absolute error = 8.95821595232e-20 relative error = 7.8277486379730870662049825003163e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.997 y[1] (analytic) = 1.1438018973762533991914065892515 y[1] (numeric) = 1.143801897376253399101783601823 absolute error = 8.96229874285e-20 relative error = 7.8355340757944674658134748120470e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1365.7MB, alloc=4.6MB, time=144.07 NO POLE x[1] = 0.998 y[1] (analytic) = 1.143185504725964911801665261881 y[1] (numeric) = 1.1431855047259649117120014503965 absolute error = 8.96638114845e-20 relative error = 7.8433299857133402197953854642366e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.999 y[1] (analytic) = 1.1425687598430257468372885357952 y[1] (numeric) = 1.1425687598430257467475839041039 absolute error = 8.97046316913e-20 relative error = 7.8511363905682370235538692219103e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1 y[1] (analytic) = 1.1419516629213283578448479170698 y[1] (numeric) = 1.1419516629213283577551024690206 absolute error = 8.97454480492e-20 relative error = 7.8589533132789673627160607258520e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.001 y[1] (analytic) = 1.1413342141547192660573691850748 y[1] (numeric) = 1.1413342141547192659675829245163 absolute error = 8.97862605585e-20 relative error = 7.8667807768293691509144046350289e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.002 y[1] (analytic) = 1.1407164137369990675551933839193 y[1] (numeric) = 1.1407164137369990674653663146997 absolute error = 8.98270692196e-20 relative error = 7.8746188042763028815083533869502e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.003 y[1] (analytic) = 1.1400982618619224404259982267644 y[1] (numeric) = 1.1400982618619224403361303527318 absolute error = 8.98678740326e-20 relative error = 7.8824674187148193938723182220287e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.6MB, time=144.47 NO POLE x[1] = 1.004 y[1] (analytic) = 1.1394797587231981519239799921689 y[1] (numeric) = 1.1394797587231981518340713171708 absolute error = 8.99086749981e-20 relative error = 7.8903266433485256817118517240731e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.005 y[1] (analytic) = 1.1388609045144890656281959916259 y[1] (numeric) = 1.1388609045144890655382465195098 absolute error = 8.99494721161e-20 relative error = 7.8981965013933468576161170905867e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.006 y[1] (analytic) = 1.1382416994294121486000676874463 y[1] (numeric) = 1.1382416994294121485100774220591 absolute error = 8.99902653872e-20 relative error = 7.9060770161830404716909149872983e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.007 y[1] (analytic) = 1.1376221436615384785400445401322 y[1] (numeric) = 1.1376221436615384784500134853205 absolute error = 9.00310548117e-20 relative error = 7.9139682110904600337239911000846e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.008 y[1] (analytic) = 1.137002237404393250943428664383 y[1] (numeric) = 1.1370022374043932508533568239934 absolute error = 9.00718403896e-20 relative error = 7.9218701095277169563356903387517e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=144.88 NO POLE x[1] = 1.009 y[1] (analytic) = 1.1363819808514557862553603728687 y[1] (numeric) = 1.1363819808514557861652477507474 absolute error = 9.01126221213e-20 relative error = 7.9297827350079421415408493468476e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.01 y[1] (analytic) = 1.1357613741961595370249646868967 y[1] (numeric) = 1.1357613741961595369348112868895 absolute error = 9.01534000072e-20 relative error = 7.9377061111103988329544576159362e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.011 y[1] (analytic) = 1.1351404176318920950586588930947 y[1] (numeric) = 1.135140417631892094968464719047 absolute error = 9.01941740477e-20 relative error = 7.9456402614807192867228495707229e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.012 y[1] (analytic) = 1.1345191113519951985726212252247 y[1] (numeric) = 1.1345191113519951984823862809819 absolute error = 9.02349442428e-20 relative error = 7.9535852097958852230508033580094e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.013 y[1] (analytic) = 1.1338974555497647393444207502397 y[1] (numeric) = 1.1338974555497647392541450396465 absolute error = 9.02757105932e-20 relative error = 7.9615409798613804088894299758167e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.014 y[1] (analytic) = 1.133275450418450769863808537681 y[1] (numeric) = 1.1332754504184507697734920645822 absolute error = 9.03164730988e-20 relative error = 7.9695075954792397657923698023991e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.6MB, time=145.29 NO POLE x[1] = 1.015 y[1] (analytic) = 1.132653096151257510482670191519 y[1] (numeric) = 1.1326530961512575103923129597589 absolute error = 9.03572317601e-20 relative error = 7.9774850805717000104329216686090e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.016 y[1] (analytic) = 1.1320303929413433565641398235226 y[1] (numeric) = 1.1320303929413433564737418369451 absolute error = 9.03979865775e-20 relative error = 7.9854734591197509211734672879757e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.017 y[1] (analytic) = 1.1314073409818208856308755472445 y[1] (numeric) = 1.1314073409818208855404368096935 absolute error = 9.04387375510e-20 relative error = 7.9934727551368382498608102318294e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.018 y[1] (analytic) = 1.1307839404657568645124965717003 y[1] (numeric) = 1.1307839404657568644220170870191 absolute error = 9.04794846812e-20 relative error = 8.0014829927574443353371515087244e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.019 y[1] (analytic) = 1.130160191586172256492181973811 y[1] (numeric) = 1.1301601915861722564016617458427 absolute error = 9.05202279683e-20 relative error = 8.0095041961489960602936711320550e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.02 y[1] (analytic) = 1.1295360945360422284524312286767 y[1] (numeric) = 1.1295360945360422283618702612641 absolute error = 9.05609674126e-20 relative error = 8.0175363895562791347540527213373e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.6MB, time=145.70 NO POLE x[1] = 1.021 y[1] (analytic) = 1.1289116495082961580199865767395 y[1] (numeric) = 1.1289116495082961579293848737251 absolute error = 9.06017030144e-20 relative error = 8.0255795972928513246411301831818e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.022 y[1] (analytic) = 1.1282868566958176407099173068891 y[1] (numeric) = 1.1282868566958176406192748721149 absolute error = 9.06424347742e-20 relative error = 8.0336338437590164149782994250480e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.023 y[1] (analytic) = 1.1276617162914444970688660345565 y[1] (numeric) = 1.1276617162914444969781828718647 absolute error = 9.06831626918e-20 relative error = 8.0416991533623112152095047424110e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.024 y[1] (analytic) = 1.1270362284879687798174570538401 y[1] (numeric) = 1.1270362284879687797267331670722 absolute error = 9.07238867679e-20 relative error = 8.0497755506595488488061818522492e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.025 y[1] (analytic) = 1.1264103934781367809918668426925 y[1] (numeric) = 1.1264103934781367809011022356897 absolute error = 9.07646070028e-20 relative error = 8.0578630602418805050058465163514e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.6MB, time=146.11 NO POLE x[1] = 1.026 y[1] (analytic) = 1.1257842114546490390845568002011 y[1] (numeric) = 1.1257842114546490389937514768043 absolute error = 9.08053233968e-20 relative error = 8.0659617067704800673598801532109e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.027 y[1] (analytic) = 1.1251576826101603461841682949824 y[1] (numeric) = 1.1251576826101603460933222590322 absolute error = 9.08460359502e-20 relative error = 8.0740715149767974737126889980104e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.028 y[1] (analytic) = 1.1245308071372797551145801037047 y[1] (numeric) = 1.1245308071372797550236933590417 absolute error = 9.08867446630e-20 relative error = 8.0821925096361353766702611469037e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.029 y[1] (analytic) = 1.123903585228570586573128318751 y[1] (numeric) = 1.1239035852285705864822008692151 absolute error = 9.09274495359e-20 relative error = 8.0903247156568058586406647217592e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.03 y[1] (analytic) = 1.1232760170765504362679888040208 y[1] (numeric) = 1.1232760170765504361770206534517 absolute error = 9.09681505691e-20 relative error = 8.0984681579737304490181198816829e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.031 y[1] (analytic) = 1.1226481028736911820547222778725 y[1] (numeric) = 1.12264810287369118196371343011 absolute error = 9.10088477625e-20 relative error = 8.1066228615663887610672026620800e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1388.6MB, alloc=4.6MB, time=146.53 NO POLE x[1] = 1.032 y[1] (analytic) = 1.1220198428124189910719821021948 y[1] (numeric) = 1.1220198428124189909809325610777 absolute error = 9.10495411171e-20 relative error = 8.1147888515837774537628356920283e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.033 y[1] (analytic) = 1.1213912370851143268763848565887 y[1] (numeric) = 1.121391237085114326785294625956 absolute error = 9.10902306327e-20 relative error = 8.1229661531398423114624757948945e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.034 y[1] (analytic) = 1.120762285884111956576543776644 y[1] (numeric) = 1.1207622858841119564854128603342 absolute error = 9.11309163098e-20 relative error = 8.1311547914829671736101068564216e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.035 y[1] (analytic) = 1.1201329894017009579662651352767 y[1] (numeric) = 1.1201329894017009578750935371281 absolute error = 9.11715981486e-20 relative error = 8.1393547919071361113743546837584e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.036 y[1] (analytic) = 1.1195033478301247266569076460963 y[1] (numeric) = 1.1195033478301247265656953699468 absolute error = 9.12122761495e-20 relative error = 8.1475661797967843432245934507380e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1392.4MB, alloc=4.6MB, time=146.93 x[1] = 1.037 y[1] (analytic) = 1.1188733613615809832089049677602 y[1] (numeric) = 1.1188733613615809831176520174475 absolute error = 9.12529503127e-20 relative error = 8.1557889805913627445397927419869e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.038 y[1] (analytic) = 1.1182430301882217802624513882702 y[1] (numeric) = 1.1182430301882217801711577676315 absolute error = 9.12936206387e-20 relative error = 8.1640232198302662485269921699523e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.039 y[1] (analytic) = 1.117612354502153509667350768156 y[1] (numeric) = 1.1176123545021535095760164810285 absolute error = 9.13342871275e-20 relative error = 8.1722689230815951398557607245349e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.04 y[1] (analytic) = 1.1169813344954369096120288214886 y[1] (numeric) = 1.116981334495436909520653871709 absolute error = 9.13749497796e-20 relative error = 8.1805261160318238783323303719012e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.041 y[1] (analytic) = 1.1163499703600870717517088136557 y[1] (numeric) = 1.1163499703600870716602932050601 absolute error = 9.14156085956e-20 relative error = 8.1887948244503655520213965166639e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.042 y[1] (analytic) = 1.1157182622880734483357507548276 y[1] (numeric) = 1.1157182622880734482442944912525 absolute error = 9.14562635751e-20 relative error = 8.1970750740912765638136488170487e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.6MB, time=147.34 NO POLE x[1] = 1.043 y[1] (analytic) = 1.1150862104713198593341541680396 y[1] (numeric) = 1.1150862104713198592426572533206 absolute error = 9.14969147190e-20 relative error = 8.2053668908995364862382295385508e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.044 y[1] (analytic) = 1.1144538151017044995632245107985 y[1] (numeric) = 1.1144538151017044994716869487712 absolute error = 9.15375620273e-20 relative error = 8.2136703008142448437653448196642e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.045 y[1] (analytic) = 1.1138210763710599458104033291311 y[1] (numeric) = 1.1138210763710599457188251236308 absolute error = 9.15782055003e-20 relative error = 8.2219853298764033883680349917489e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.046 y[1] (analytic) = 1.1131879944711731639582622229725 y[1] (numeric) = 1.113187994471173163866643377834 absolute error = 9.16188451385e-20 relative error = 8.2303120042202843346582681562395e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.047 y[1] (analytic) = 1.1125545695937855161076607017926 y[1] (numeric) = 1.1125545695937855160160012208506 absolute error = 9.16594809420e-20 relative error = 8.2386503500198278812541706552385e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.048 y[1] (analytic) = 1.1119208019305927677000680093533 y[1] (numeric) = 1.111920801930592767608367896442 absolute error = 9.17001129113e-20 relative error = 8.2470003935607650157924669966318e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.6MB, time=147.75 NO POLE x[1] = 1.049 y[1] (analytic) = 1.1112866916732450946390489964775 y[1] (numeric) = 1.1112866916732450945473082554308 absolute error = 9.17407410467e-20 relative error = 8.2553621611870072513196590121331e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.05 y[1] (analytic) = 1.1106522390133470904109141207111 y[1] (numeric) = 1.1106522390133470903191327553629 absolute error = 9.17813653482e-20 relative error = 8.2637356792918716411614730220625e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.051 y[1] (analytic) = 1.1100174441424577732045336517496 y[1] (numeric) = 1.1100174441424577731127116659332 absolute error = 9.18219858164e-20 relative error = 8.2721209743993645439580581977270e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.052 y[1] (analytic) = 1.1093823072520905930303161614928 y[1] (numeric) = 1.1093823072520905929384535590413 absolute error = 9.18626024515e-20 relative error = 8.2805180730744782721331104806100e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.053 y[1] (analytic) = 1.1087468285337134388383513775908 y[1] (numeric) = 1.1087468285337134387464481623368 absolute error = 9.19032152540e-20 relative error = 8.2889270019865060353432782613600e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.6MB, time=148.14 NO POLE x[1] = 1.054 y[1] (analytic) = 1.1081110081787486456357174793306 y[1] (numeric) = 1.1081110081787486455437736551069 absolute error = 9.19438242237e-20 relative error = 8.2973477878191607320977073925960e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.055 y[1] (analytic) = 1.1074748463785730016029529147154 y[1] (numeric) = 1.107474846378573001510968485354 absolute error = 9.19844293614e-20 relative error = 8.3057804574241822207289934880721e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.056 y[1] (analytic) = 1.1068383433245177552096928175714 y[1] (numeric) = 1.1068383433245177551176677869043 absolute error = 9.20250306671e-20 relative error = 8.3142250376592585702197648566267e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.057 y[1] (analytic) = 1.1062014992078686223294701035225 y[1] (numeric) = 1.1062014992078686222374044753812 absolute error = 9.20656281413e-20 relative error = 8.3226815555056264220178517121419e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.058 y[1] (analytic) = 1.1055643142198657933536813236571 y[1] (numeric) = 1.105564314219865793261575101873 absolute error = 9.21062217841e-20 relative error = 8.3311500379870845644439074717270e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.059 y[1] (analytic) = 1.1049267885517039403047173547126 y[1] (numeric) = 1.1049267885517039402125705431165 absolute error = 9.21468115961e-20 relative error = 8.3396305122516343460263042431406e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.6MB, time=148.54 NO POLE x[1] = 1.06 y[1] (analytic) = 1.1042889223945322239482590045896 y[1] (numeric) = 1.1042889223945322238560716070121 absolute error = 9.21873975775e-20 relative error = 8.3481230054904023250268986707855e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.061 y[1] (analytic) = 1.1036507159394543009047376120096 y[1] (numeric) = 1.1036507159394543008125096322812 absolute error = 9.22279797284e-20 relative error = 8.3566275449650121522583535267527e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.062 y[1] (analytic) = 1.1030121693775283307599607191176 y[1] (numeric) = 1.1030121693775283306676921610682 absolute error = 9.22685580494e-20 relative error = 8.3651441580622498911345390539149e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.063 y[1] (analytic) = 1.1023732828997669831749028958256 y[1] (numeric) = 1.1023732828997669830825937632852 absolute error = 9.23091325404e-20 relative error = 8.3736728721856355928082139536832e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.064 y[1] (analytic) = 1.1017340566971374449946617946923 y[1] (numeric) = 1.1017340566971374449023120914901 absolute error = 9.23497032022e-20 relative error = 8.3822137149007627185438205493634e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.065 y[1] (analytic) = 1.1010944909605614273565795151178 y[1] (numeric) = 1.1010944909605614272641892450831 memory used=1411.4MB, alloc=4.6MB, time=148.94 absolute error = 9.23902700347e-20 relative error = 8.3907667137723603982458811654203e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.066 y[1] (analytic) = 1.100454585880915172797529355638 y[1] (numeric) = 1.1004545858809151727050985225998 absolute error = 9.24308330382e-20 relative error = 8.3993318964824896349778284517065e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.067 y[1] (analytic) = 1.0998143416490294623603680330872 y[1] (numeric) = 1.0998143416490294622678966408739 absolute error = 9.24713922133e-20 relative error = 8.4079092908218580443143596016714e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.068 y[1] (analytic) = 1.099173758455689622699553447395 y[1] (numeric) = 1.0991737584556896226070414998349 absolute error = 9.25119475601e-20 relative error = 8.4164989246174204793832881237894e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.069 y[1] (analytic) = 1.0985328364916355331859280707804 y[1] (numeric) = 1.0985328364916355330933755717013 absolute error = 9.25524990791e-20 relative error = 8.4251008258144784880654181617279e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.07 y[1] (analytic) = 1.0978915759475616330106680400931 y[1] (numeric) = 1.0978915759475616329180749933228 absolute error = 9.25930467703e-20 relative error = 8.4337150223951169504444737188353e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1415.3MB, alloc=4.6MB, time=149.35 NO POLE x[1] = 1.071 y[1] (analytic) = 1.0972499770141169282883980310531 y[1] (numeric) = 1.0972499770141169281957644404189 absolute error = 9.26335906342e-20 relative error = 8.4423415424695151940374971030734e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.072 y[1] (analytic) = 1.0966080398819049991594719931259 y[1] (numeric) = 1.0966080398819049990667978624547 absolute error = 9.26741306712e-20 relative error = 8.4509804142216744454297402081156e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.073 y[1] (analytic) = 1.0959657647414840068914198237715 y[1] (numeric) = 1.0959657647414840067987051568902 absolute error = 9.27146668813e-20 relative error = 8.4596316658823280683757147823478e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.074 y[1] (analytic) = 1.0953231517833667009795600607954 y[1] (numeric) = 1.0953231517833667008868048615304 absolute error = 9.27551992650e-20 relative error = 8.4682953258113134027042606651456e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.075 y[1] (analytic) = 1.0946802011980204262467786715221 y[1] (numeric) = 1.0946802011980204261539829436995 absolute error = 9.27957278226e-20 relative error = 8.4769714224340726024036706225200e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.076 y[1] (analytic) = 1.0940369131758671299424740175103 y[1] (numeric) = 1.0940369131758671298496377649558 absolute error = 9.28362525545e-20 relative error = 8.4856599842693345511449419560389e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1419.1MB, alloc=4.6MB, time=149.76 NO POLE x[1] = 1.077 y[1] (analytic) = 1.0933932879072833688406680735174 y[1] (numeric) = 1.0933932879072833687477913000567 absolute error = 9.28767734607e-20 relative error = 8.4943610398837280401058203718571e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.078 y[1] (analytic) = 1.0927493255826003163372839794199 y[1] (numeric) = 1.0927493255826003162443666888782 absolute error = 9.29172905417e-20 relative error = 8.5030746179743520205135906979387e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.079 y[1] (analytic) = 1.0921050263921037695465900037842 y[1] (numeric) = 1.0921050263921037694536321999863 absolute error = 9.29578037979e-20 relative error = 8.5118007473142888377739097745617e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.08 y[1] (analytic) = 1.0914603905260341563968099977819 y[1] (numeric) = 1.0914603905260341563038116845524 absolute error = 9.29983132295e-20 relative error = 8.5205394567437350748258263121169e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.081 y[1] (analytic) = 1.0908154181745865427249004181332 y[1] (numeric) = 1.0908154181745865426318615992966 absolute error = 9.30388188366e-20 relative error = 8.5292907751794360974700087828475e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=150.16 NO POLE x[1] = 1.082 y[1] (analytic) = 1.0901701095279106393704939977593 y[1] (numeric) = 1.0901701095279106392774146771394 absolute error = 9.30793206199e-20 relative error = 8.5380547316791916073521388256406e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.083 y[1] (analytic) = 1.0895244647761108092690101428131 y[1] (numeric) = 1.0895244647761108091758903242337 absolute error = 9.31198185794e-20 relative error = 8.5468313553230244861527925142856e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.084 y[1] (analytic) = 1.0888784841092460745439321347591 y[1] (numeric) = 1.0888784841092460744507718220438 absolute error = 9.31603127153e-20 relative error = 8.5556206752959699642086136356107e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.085 y[1] (analytic) = 1.0882321677173301235982512161603 y[1] (numeric) = 1.088232167717330123505050413132 absolute error = 9.32008030283e-20 relative error = 8.5644227209160245224194306950338e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.086 y[1] (analytic) = 1.0875855157903313182050776388251 y[1] (numeric) = 1.0875855157903313181118363493066 absolute error = 9.32412895185e-20 relative error = 8.5732375215334693827006517769361e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.087 y[1] (analytic) = 1.0869385285181727005974187529657 y[1] (numeric) = 1.0869385285181727005041369807796 absolute error = 9.32817721861e-20 relative error = 8.5820651065954377017101813549573e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=150.57 NO POLE x[1] = 1.088 y[1] (analytic) = 1.0862912060907320005571242160071 y[1] (numeric) = 1.0862912060907320004638019649755 absolute error = 9.33222510316e-20 relative error = 8.5909055056646844997784418696027e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.089 y[1] (analytic) = 1.0856435486978416425029983996819 y[1] (numeric) = 1.0856435486978416424096356736267 absolute error = 9.33627260552e-20 relative error = 8.5997587483647351164579698154831e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.09 y[1] (analytic) = 1.0849955565292887525780800740422 y[1] (numeric) = 1.084995556529288752484676876785 absolute error = 9.34031972572e-20 relative error = 8.6086248644170038278940935471730e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.091 y[1] (analytic) = 1.0843472297748151657360894470097 y[1] (numeric) = 1.0843472297748151656426457823718 absolute error = 9.34436646379e-20 relative error = 8.6175038836319351171342622803362e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.092 y[1] (analytic) = 1.083698568624117432827042638082 y[1] (numeric) = 1.0836985686241174327335585098845 absolute error = 9.34841281975e-20 relative error = 8.6263958359001134864913197827904e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.093 y[1] (analytic) = 1.0830495732668468276820336648057 y[1] (numeric) = 1.083049573266846827588509076869 absolute error = 9.35245879367e-20 relative error = 8.6353007512479739359531570093137e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.6MB, time=150.98 NO POLE x[1] = 1.094 y[1] (analytic) = 1.0824002438926093541971840206184 y[1] (numeric) = 1.0824002438926093541036189767631 absolute error = 9.35650438553e-20 relative error = 8.6442186597089387059736244009780e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.095 y[1] (analytic) = 1.081750580690965753416759922663 y[1] (numeric) = 1.0817505806909657533231544267091 absolute error = 9.36054959539e-20 relative error = 8.6531495914806627356692848118208e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.096 y[1] (analytic) = 1.0811005838514315106154573081596 y[1] (numeric) = 1.0811005838514315105218113639271 absolute error = 9.36459442325e-20 relative error = 8.6620935767961014787613388605707e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.097 y[1] (analytic) = 1.0804502535634768623798546579271 y[1] (numeric) = 1.0804502535634768622861682692351 absolute error = 9.36863886920e-20 relative error = 8.6710506460625203707734976934999e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.098 y[1] (analytic) = 1.0797995900165268036890337256277 y[1] (numeric) = 1.0797995900165268035953068962957 absolute error = 9.37268293320e-20 relative error = 8.6800208296583507683416630939462e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=151.38 NO POLE x[1] = 1.099 y[1] (analytic) = 1.0791485933999610949943682513153 y[1] (numeric) = 1.0791485933999610949006009851619 absolute error = 9.37672661534e-20 relative error = 8.6890041581741064110214389047908e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.1 y[1] (analytic) = 1.078497263903114269298480737846 y[1] (numeric) = 1.07849726390311426920467303869 absolute error = 9.38076991560e-20 relative error = 8.6980006621905645833874190111330e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.101 y[1] (analytic) = 1.0778456017152756392333673687203 y[1] (numeric) = 1.0778456017152756391395192403799 absolute error = 9.38481283404e-20 relative error = 8.7070103724550874611127417102215e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.102 y[1] (analytic) = 1.0771936070256893041376911459046 y[1] (numeric) = 1.0771936070256893040438025921978 absolute error = 9.38885537068e-20 relative error = 8.7160333197707987967794893567771e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.103 y[1] (analytic) = 1.0765412800235541571332433261854 y[1] (numeric) = 1.0765412800235541570393143509298 absolute error = 9.39289752556e-20 relative error = 8.7250695350525604937071225924843e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.104 y[1] (analytic) = 1.0758886208980238922005732345954 y[1] (numeric) = 1.0758886208980238921066038416084 absolute error = 9.39693929870e-20 relative error = 8.7341190492902066539315549913472e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=151.79 NO POLE x[1] = 1.105 y[1] (analytic) = 1.0752356298382070112537865334496 y[1] (numeric) = 1.0752356298382070111597767265483 absolute error = 9.40098069013e-20 relative error = 8.7431818935767460846824428854210e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.106 y[1] (analytic) = 1.0745823070331668312145120255199 y[1] (numeric) = 1.0745823070331668311204618085209 absolute error = 9.40502169990e-20 relative error = 8.7522580991180560475026559071284e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.107 y[1] (analytic) = 1.0739286526719214910850370698718 y[1] (numeric) = 1.0739286526719214909909464465918 absolute error = 9.40906232800e-20 relative error = 8.7613476971588073351921319026895e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.108 y[1] (analytic) = 1.0732746669434439590206116888829 y[1] (numeric) = 1.0732746669434439589264806631378 absolute error = 9.41310257451e-20 relative error = 8.7704507191224163779488452820297e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.109 y[1] (analytic) = 1.0726203500366620394009214449499 y[1] (numeric) = 1.0726203500366620393067500205558 absolute error = 9.41714243941e-20 relative error = 8.7795671964345289193154687708322e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1442.0MB, alloc=4.6MB, time=152.19 x[1] = 1.11 y[1] (analytic) = 1.0719657021404583799007291653952 y[1] (numeric) = 1.0719657021404583798065173461675 absolute error = 9.42118192277e-20 relative error = 8.7886971607003465819561183645887e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.111 y[1] (analytic) = 1.0713107234436704785596855940654 y[1] (numeric) = 1.0713107234436704784654333838193 absolute error = 9.42522102461e-20 relative error = 8.7978406435745699442358874411310e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.112 y[1] (analytic) = 1.0706554141350906908513090481196 y[1] (numeric) = 1.0706554141350906907570164506702 absolute error = 9.42925974494e-20 relative error = 8.8069976767989860456777657267437e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.113 y[1] (analytic) = 1.0699997744034662367511341584911 y[1] (numeric) = 1.069999774403466236656801177653 absolute error = 9.43329808381e-20 relative error = 8.8161682922495400046331271190385e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.114 y[1] (analytic) = 1.069343804437499207804029772503 y[1] (numeric) = 1.0693438044374992077096564120905 absolute error = 9.43733604125e-20 relative error = 8.8253525218807133641800121882507e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.115 y[1] (analytic) = 1.0686875044258465741906860971125 y[1] (numeric) = 1.0686875044258465740962723609397 absolute error = 9.44137361728e-20 relative error = 8.8345503977351989123749520784785e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.6MB, time=152.60 NO POLE x[1] = 1.116 y[1] (analytic) = 1.068030874557120191793271161251 y[1] (numeric) = 1.0680308745571201916988170531317 absolute error = 9.44541081193e-20 relative error = 8.8437619519629744759123447601670e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.117 y[1] (analytic) = 1.0673739150198868092602566757218 y[1] (numeric) = 1.0673739150198868091657621994694 absolute error = 9.44944762524e-20 relative error = 8.8529872168217098802115433421485e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.118 y[1] (analytic) = 1.0667166260026680750704133691106 y[1] (numeric) = 1.0667166260026680749758785285381 absolute error = 9.45348405725e-20 relative error = 8.8622262246678012452218029363437e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.119 y[1] (analytic) = 1.066059007693940544595975878158 y[1] (numeric) = 1.0660590076939405445014006770783 absolute error = 9.45752010797e-20 relative error = 8.8714790079286118032547623508555e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.12 y[1] (analytic) = 1.0654010602821356871649772710374 y[1] (numeric) = 1.0654010602821356870703617132631 absolute error = 9.46155577743e-20 relative error = 8.8807455991496993046417203650204e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.121 y[1] (analytic) = 1.0647427839556398931227532819743 y[1] (numeric) = 1.0647427839556398930280973713177 absolute error = 9.46559106566e-20 relative error = 8.8900260309764752581555151303052e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=153.00 NO POLE x[1] = 1.122 y[1] (analytic) = 1.0640841789027944808926163356382 y[1] (numeric) = 1.064084178902794480797920075911 absolute error = 9.46962597272e-20 relative error = 8.8993203361827852653202014655739e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.123 y[1] (analytic) = 1.0634252453118957040356994397301 y[1] (numeric) = 1.0634252453118957039409628347442 absolute error = 9.47366049859e-20 relative error = 8.9086285475679459040524893468275e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.124 y[1] (analytic) = 1.0627659833711947583099700241872 y[1] (numeric) = 1.0627659833711947582151930777537 absolute error = 9.47769464335e-20 relative error = 8.9179506981262717419783938584113e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.125 y[1] (analytic) = 1.0621063932688977887284138054107 y[1] (numeric) = 1.0621063932688977886335965213408 absolute error = 9.48172840699e-20 relative error = 8.9272868208688696919688437809709e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.126 y[1] (analytic) = 1.06144647519316589661638875393 y[1] (numeric) = 1.0614464751931658965215311360343 absolute error = 9.48576178957e-20 relative error = 8.9366369489745081220569226951744e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=153.41 NO POLE x[1] = 1.127 y[1] (analytic) = 1.0607862293321151466681492438956 y[1] (numeric) = 1.0607862293321151465732512959845 absolute error = 9.48979479111e-20 relative error = 8.9460011156865211599295226648373e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.128 y[1] (analytic) = 1.0601256558738165740025404627991 y[1] (numeric) = 1.0601256558738165739076021886828 absolute error = 9.49382741163e-20 relative error = 8.9553793543508208880088680520149e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.129 y[1] (analytic) = 1.0594647550062961912178631598052 y[1] (numeric) = 1.0594647550062961911228845632936 absolute error = 9.49785965116e-20 relative error = 8.9647716984257358171034426518782e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.13 y[1] (analytic) = 1.0588035269175349954459088110772 y[1] (numeric) = 1.0588035269175349953508898959797 absolute error = 9.50189150975e-20 relative error = 8.9741781814918865911616425999076e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.131 y[1] (analytic) = 1.0581419717954689754051652804698 y[1] (numeric) = 1.0581419717954689753101060505956 absolute error = 9.50592298742e-20 relative error = 8.9835988372053959832174443161337e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.132 y[1] (analytic) = 1.0574800898279891184531930539597 y[1] (numeric) = 1.0574800898279891183580935131178 absolute error = 9.50995408419e-20 relative error = 8.9930336993265751740075849514671e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=153.81 NO POLE x[1] = 1.133 y[1] (analytic) = 1.0568178812029414176381721261743 y[1] (numeric) = 1.0568178812029414175430322781733 absolute error = 9.51398480010e-20 relative error = 9.0024828017392557516272491824027e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.134 y[1] (analytic) = 1.0561553461081268787496196173761 y[1] (numeric) = 1.0561553461081268786544394660242 absolute error = 9.51801513519e-20 relative error = 9.0119461784323216295745100378555e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.135 y[1] (analytic) = 1.0554924847313015273682781992512 y[1] (numeric) = 1.0554924847313015272730577483565 absolute error = 9.52204508947e-20 relative error = 9.0214238634716975868172210484042e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.136 y[1] (analytic) = 1.0548292972601764159151754078475 y[1] (numeric) = 1.0548292972601764158199146612179 absolute error = 9.52607466296e-20 relative error = 9.0309158910385939641171872589330e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.137 y[1] (analytic) = 1.0541657838824176306998539219994 y[1] (numeric) = 1.0541657838824176306045528834421 absolute error = 9.53010385573e-20 relative error = 9.0404222954678960372849480333385e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.138 memory used=1461.0MB, alloc=4.6MB, time=154.22 y[1] (analytic) = 1.0535019447856462989677728855683 y[1] (numeric) = 1.0535019447856462988724315588905 absolute error = 9.53413266778e-20 relative error = 9.0499431111348245303931142721509e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.139 y[1] (analytic) = 1.0528377801574385959468803518284 y[1] (numeric) = 1.0528377801574385958514987408368 absolute error = 9.53816109916e-20 relative error = 9.0594783725691230846708299661961e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.14 y[1] (analytic) = 1.052173290185325751893356928312 y[1] (numeric) = 1.0521732901853257517979350368132 absolute error = 9.54218914988e-20 relative error = 9.0690281143700915899151648157989e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.141 y[1] (analytic) = 1.0515084750567940591365307004311 y[1] (numeric) = 1.0515084750567940590410685322314 absolute error = 9.54621681997e-20 relative error = 9.0785923712639500009640709207742e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.142 y[1] (analytic) = 1.0508433349592848791229635121793 y[1] (numeric) = 1.0508433349592848790274610710844 absolute error = 9.55024410949e-20 relative error = 9.0881711781138393841248506133901e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.143 y[1] (analytic) = 1.050177870080194649459708682214 y[1] (numeric) = 1.0501778700801946493641659720296 absolute error = 9.55427101844e-20 relative error = 9.0977645698346394972645478960468e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=154.63 NO POLE x[1] = 1.144 y[1] (analytic) = 1.0495120806068748909567402336165 y[1] (numeric) = 1.049512080606874890861157258148 absolute error = 9.55829754685e-20 relative error = 9.1073725814789709306752750362783e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.145 y[1] (analytic) = 1.048845966726632214668553715614 y[1] (numeric) = 1.0488459667266322145729304786664 absolute error = 9.56232369476e-20 relative error = 9.1169952482186479150401797521678e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.146 y[1] (analytic) = 1.0481795286267283289349386955473 y[1] (numeric) = 1.0481795286267283288392752009253 absolute error = 9.56634946220e-20 relative error = 9.1266326053260608982823713149550e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.147 y[1] (analytic) = 1.0475127664943800464209229993599 y[1] (numeric) = 1.0475127664943800463252192508677 absolute error = 9.57037484922e-20 relative error = 9.1362846882032205722362755454813e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.148 y[1] (analytic) = 1.0468456805167592911558887788763 y[1] (numeric) = 1.0468456805167592910601447803183 absolute error = 9.57439985580e-20 relative error = 9.1459515322962832202970526325452e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.149 y[1] (analytic) = 1.0461782708809931055718604841362 y[1] (numeric) = 1.0461782708809931054760762393159 absolute error = 9.57842448203e-20 relative error = 9.1556331732678315878287409217392e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1468.7MB, alloc=4.6MB, time=155.03 NO POLE x[1] = 1.15 y[1] (analytic) = 1.0455105377741636575409648190359 y[1] (numeric) = 1.045510537774163657445140331757 absolute error = 9.58244872789e-20 relative error = 9.1653296467872278154520029669667e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.151 y[1] (analytic) = 1.0448424813833082474120627585346 y[1] (numeric) = 1.0448424813833082473161980326002 absolute error = 9.58647259344e-20 relative error = 9.1750409887125666348961806778129e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.152 y[1] (analytic) = 1.044174101895419315046553705664 y[1] (numeric) = 1.044174101895419314950648744877 absolute error = 9.59049607870e-20 relative error = 9.1847672349764419349406611752657e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.153 y[1] (analytic) = 1.043505399497444446853351866584 y[1] (numeric) = 1.043505399497444446757406674747 absolute error = 9.59451918370e-20 relative error = 9.1945084216341872938519375720314e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.154 y[1] (analytic) = 1.0428363743762863828230349219142 y[1] (numeric) = 1.0428363743762863827270495028296 absolute error = 9.59854190846e-20 relative error = 9.2042645848451778043009121486658e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=155.44 NO POLE x[1] = 1.155 y[1] (analytic) = 1.0421670267188030235611650725691 y[1] (numeric) = 1.0421670267188030234651394300388 absolute error = 9.60256425303e-20 relative error = 9.2140357609116326386784167713883e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.156 y[1] (analytic) = 1.0414973567118074373207825383149 y[1] (numeric) = 1.0414973567118074372247166761407 absolute error = 9.60658621742e-20 relative error = 9.2238219862119505080062643389210e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.157 y[1] (analytic) = 1.0408273645420678670340715872639 y[1] (numeric) = 1.040827364542067866937965509247 absolute error = 9.61060780169e-20 relative error = 9.2336232972875120472363438523915e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.158 y[1] (analytic) = 1.0401570503963077373431991745109 y[1] (numeric) = 1.0401570503963077372470528844526 absolute error = 9.61462900583e-20 relative error = 9.2434397307279254753375806152900e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.159 y[1] (analytic) = 1.0394864144612056616303262681173 y[1] (numeric) = 1.0394864144612056615341397698184 absolute error = 9.61864982989e-20 relative error = 9.2532713232963320645133419610239e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.16 y[1] (analytic) = 1.0388154569233954490467919406335 y[1] (numeric) = 1.0388154569233954489505652378943 absolute error = 9.62267027392e-20 relative error = 9.2631181118722966820337808892404e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=155.85 NO POLE x[1] = 1.161 y[1] (analytic) = 1.0381441779694661115414703043505 y[1] (numeric) = 1.0381441779694661114452034009713 absolute error = 9.62669033792e-20 relative error = 9.2729801334041100224438410446864e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.162 y[1] (analytic) = 1.0374725777859618708883003684652 y[1] (numeric) = 1.0374725777859618707919932682459 absolute error = 9.63071002193e-20 relative error = 9.2828574249958493226379629435810e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.163 y[1] (analytic) = 1.0368006565593821657129888963325 y[1] (numeric) = 1.0368006565593821656166416030727 absolute error = 9.63472932598e-20 relative error = 9.2927500238597470237556499675803e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.164 y[1] (analytic) = 1.0361284144761816585188863409772 y[1] (numeric) = 1.036128414476181658422498858476 absolute error = 9.63874825012e-20 relative error = 9.3026579673455851201812975900626e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.165 y[1] (analytic) = 1.035455851722770242712035937028 y[1] (numeric) = 1.0354558517227702426156082690846 absolute error = 9.64276679434e-20 relative error = 9.3125812928639710382795859372355e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.166 y[1] (analytic) = 1.0347829684855130496253960272347 y[1] (numeric) = 1.0347829684855130495289281776477 absolute error = 9.64678495870e-20 relative error = 9.3225200380122557894196097714687e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=156.26 NO POLE x[1] = 1.167 y[1] (analytic) = 1.034109764950730455542235701716 y[1] (numeric) = 1.0341097649507304554457276742836 absolute error = 9.65080274324e-20 relative error = 9.3324742404882007419131889832653e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.168 y[1] (analytic) = 1.0334362413046980887187038280864 y[1] (numeric) = 1.0334362413046980886221556266071 absolute error = 9.65482014793e-20 relative error = 9.3424439380420133612451451111871e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.169 y[1] (analytic) = 1.0327623977336468364055715506032 y[1] (numeric) = 1.0327623977336468363089831788747 absolute error = 9.65883717285e-20 relative error = 9.3524291686508992132796235064571e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.17 y[1] (analytic) = 1.0320882344237628518691483364618 y[1] (numeric) = 1.0320882344237628517725197982814 absolute error = 9.66285381804e-20 relative error = 9.3624299703745580877621857404816e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.171 y[1] (analytic) = 1.0314137515611875614113716473708 y[1] (numeric) = 1.0314137515611875613147029465357 absolute error = 9.66687008351e-20 relative error = 9.3724463813652409514780706782200e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=156.67 NO POLE x[1] = 1.172 y[1] (analytic) = 1.0307389493320176713890703145268 y[1] (numeric) = 1.030738949332017671292361454834 absolute error = 9.67088596928e-20 relative error = 9.3824784399069519944219518422872e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.173 y[1] (analytic) = 1.0300638279223051752324016951029 y[1] (numeric) = 1.0300638279223051751356526803488 absolute error = 9.67490147541e-20 relative error = 9.3925261844450970042465567748191e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.174 y[1] (analytic) = 1.0293883875180573604624626883586 y[1] (numeric) = 1.0293883875180573603656735223397 absolute error = 9.67891660189e-20 relative error = 9.4025896534802458604056139684487e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.175 y[1] (analytic) = 1.0287126283052368157080746894768 y[1] (numeric) = 1.028712628305236815611245375989 absolute error = 9.68293134878e-20 relative error = 9.4126688857044991208303579401519e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.176 y[1] (analytic) = 1.0280365504697614377217425592198 y[1] (numeric) = 1.0280365504697614376248731020588 absolute error = 9.68694571610e-20 relative error = 9.4227639198952108012866499134690e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.177 y[1] (analytic) = 1.0273601541975044383947876874978 y[1] (numeric) = 1.0273601541975044382978780904589 absolute error = 9.69095970389e-20 relative error = 9.4328747949737647321392596515580e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=157.06 NO POLE x[1] = 1.178 y[1] (analytic) = 1.0266834396742943517716552289315 y[1] (numeric) = 1.0266834396742943516747054958098 absolute error = 9.69497331217e-20 relative error = 9.4430015499671826216007980236143e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.179 y[1] (analytic) = 1.0260064070859150410633955884878 y[1] (numeric) = 1.026006407085915040966405723078 absolute error = 9.69898654098e-20 relative error = 9.4531442240475528783055188732044e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.18 y[1] (analytic) = 1.0253290566181057056603202352588 y[1] (numeric) = 1.0253290566181057055632902413556 absolute error = 9.70299939032e-20 relative error = 9.4633028564740864127250097505473e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.181 y[1] (analytic) = 1.0246513884565608881438319224516 y[1] (numeric) = 1.024651388456560888046761803849 absolute error = 9.70701186026e-20 relative error = 9.4734774867008531343162166520433e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.182 y[1] (analytic) = 1.0239734027869304812974293916441 y[1] (numeric) = 1.0239734027869304812003191521362 absolute error = 9.71102395079e-20 relative error = 9.4836681542310338788720497203935e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1491.6MB, alloc=4.6MB, time=157.46 x[1] = 1.183 y[1] (analytic) = 1.0232950997948197351168866393649 y[1] (numeric) = 1.0232950997948197350197362827451 absolute error = 9.71503566198e-20 relative error = 9.4938748987735363596459078459292e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.184 y[1] (analytic) = 1.0226164796657892638196068240388 y[1] (numeric) = 1.0226164796657892637224163541004 absolute error = 9.71904699384e-20 relative error = 9.5040977601068696928644673693306e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.185 y[1] (analytic) = 1.0219375425853550528531508913426 y[1] (numeric) = 1.0219375425853550527559203118786 absolute error = 9.72305794640e-20 relative error = 9.5143367781577544710249917255618e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.186 y[1] (analytic) = 1.0212582887389884659029409960035 y[1] (numeric) = 1.0212582887389884658056703108066 absolute error = 9.72706851969e-20 relative error = 9.5245919929821283122401466821040e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.187 y[1] (analytic) = 1.0205787183121162518991387980685 y[1] (numeric) = 1.020578718312116251801828010931 absolute error = 9.73107871375e-20 relative error = 9.5348634447754711648284329066251e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.188 y[1] (analytic) = 1.0198988314901205520226987116671 y[1] (numeric) = 1.0198988314901205519253478263812 absolute error = 9.73508852859e-20 relative error = 9.5451511738341479063233643782747e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1495.4MB, alloc=4.6MB, time=157.85 NO POLE x[1] = 1.189 y[1] (analytic) = 1.019218628458338906710596184284 y[1] (numeric) = 1.0192186284583389066132052046413 absolute error = 9.73909796427e-20 relative error = 9.5554552206343339135402858327172e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.19 y[1] (analytic) = 1.0185381094020642626602310845493 y[1] (numeric) = 1.0185381094020642625628000143415 absolute error = 9.74310702078e-20 relative error = 9.5657756257148975034312919330898e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.191 y[1] (analytic) = 1.0178572745065449798330062765528 y[1] (numeric) = 1.017857274506544979735535119571 absolute error = 9.74711569818e-20 relative error = 9.5761124298152516050699586028785e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.192 y[1] (analytic) = 1.0171761239569848384570814586763 y[1] (numeric) = 1.0171761239569848383595702187114 absolute error = 9.75112399649e-20 relative error = 9.5864656737679809810230790853635e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.193 y[1] (analytic) = 1.0164946579385430460293023449383 y[1] (numeric) = 1.0164946579385430459317510257808 absolute error = 9.75513191575e-20 relative error = 9.5968353985582797537471742266456e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.194 y[1] (analytic) = 1.0158128766363342443163052668334 y[1] (numeric) = 1.0158128766363342442187138722737 absolute error = 9.75913945597e-20 relative error = 9.6072216452753409225091029031182e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=158.25 NO POLE x[1] = 1.195 y[1] (analytic) = 1.0151307802354285163547972736478 y[1] (numeric) = 1.0151307802354285162571658074757 absolute error = 9.76314661721e-20 relative error = 9.6176244551916127926459122527152e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.196 y[1] (analytic) = 1.0144483689208513934510118092206 y[1] (numeric) = 1.0144483689208513933533402752258 absolute error = 9.76715339948e-20 relative error = 9.6280438696649393066119740766669e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.197 y[1] (analytic) = 1.0137656428775838621793400431203 y[1] (numeric) = 1.0137656428775838620816284450923 absolute error = 9.77115980280e-20 relative error = 9.6384799301981330684302936263065e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.198 y[1] (analytic) = 1.0130826022905623713801379341953 y[1] (numeric) = 1.013082602290562371282386275923 absolute error = 9.77516582723e-20 relative error = 9.6489326784691770273404516889872e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.199 y[1] (analytic) = 1.0123992473446788391567091044516 y[1] (numeric) = 1.012399247344678839058917389724 absolute error = 9.77917147276e-20 relative error = 9.6594021562232636447675593744204e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=158.64 NO POLE x[1] = 1.2 y[1] (analytic) = 1.011715578224780659871463601209 y[1] (numeric) = 1.0117155782247806597736318338144 absolute error = 9.78317673946e-20 relative error = 9.6698884054213862300991137426443e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.201 y[1] (analytic) = 1.0110315951156707111412526254726 y[1] (numeric) = 1.0110315951156707110433808091993 absolute error = 9.78718162733e-20 relative error = 9.6803914680928069658990137630645e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.202 y[1] (analytic) = 1.0103472982021073608318793044608 y[1] (numeric) = 1.0103472982021073607339674430966 absolute error = 9.79118613642e-20 relative error = 9.6909113864541611073107864280467e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.203 y[1] (analytic) = 1.0096626876688044740517855862144 y[1] (numeric) = 1.009662687668804473953833683547 absolute error = 9.79519026674e-20 relative error = 9.7014482028210556593259778167162e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.204 y[1] (analytic) = 1.0089777637004314201449153342135 y[1] (numeric) = 1.0089777637004314200469233940301 absolute error = 9.79919401834e-20 relative error = 9.7120019596877960876583523077908e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.205 y[1] (analytic) = 1.0082925264816130796827536999175 y[1] (numeric) = 1.008292526481613079584721726005 absolute error = 9.80319739125e-20 relative error = 9.7225726996685898469836973489482e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=159.03 NO POLE x[1] = 1.206 y[1] (analytic) = 1.0076069761969298514555428511392 y[1] (numeric) = 1.0076069761969298513574708472844 absolute error = 9.80720038548e-20 relative error = 9.7331604654980576031030825320359e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.207 y[1] (analytic) = 1.0069211130309176594626741341598 y[1] (numeric) = 1.0069211130309176593645621041489 absolute error = 9.81120300109e-20 relative error = 9.7437653001012658104500865943442e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.208 y[1] (analytic) = 1.0062349371680679599022567474795 y[1] (numeric) = 1.0062349371680679598041046950988 absolute error = 9.81520523807e-20 relative error = 9.7543872464752235445272732804569e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.209 y[1] (analytic) = 1.0055484487928277481598630051011 y[1] (numeric) = 1.0055484487928277480616709341364 absolute error = 9.81920709647e-20 relative error = 9.7650263478185152048857972286910e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.21 y[1] (analytic) = 1.0048616480895995657964502672288 y[1] (numeric) = 1.0048616480895995656982181814653 absolute error = 9.82320857635e-20 relative error = 9.7756826474823358761739599234657e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.211 y[1] (analytic) = 1.0041745352427415075354596162632 y[1] (numeric) = 1.0041745352427415074371875194863 absolute error = 9.82720967769e-20 relative error = 9.7863561888814927431235161501194e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=159.43 NO POLE x[1] = 1.212 y[1] (analytic) = 1.0034871104365672282490913559694 y[1] (numeric) = 1.003487110436567228150779251964 absolute error = 9.83121040054e-20 relative error = 9.7970470156442072677487367757406e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.213 y[1] (analytic) = 1.0027993738553459499437574116816 y[1] (numeric) = 1.0027993738553459498454053042323 absolute error = 9.83521074493e-20 relative error = 9.8077551715232039100982622382562e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.214 y[1] (analytic) = 1.0021113256833024687447107094087 y[1] (numeric) = 1.0021113256833024686463186022996 absolute error = 9.83921071091e-20 relative error = 9.8184807004361595235635879011445e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.215 y[1] (analytic) = 1.0014229661046171618798516116952 y[1] (numeric) = 1.0014229661046171617814195087104 absolute error = 9.84321029848e-20 relative error = 9.8292236463964763103222804468974e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.216 y[1] (analytic) = 1.0007342953034259946627114880879 y[1] (numeric) = 1.0007342953034259945642393930112 absolute error = 9.84720950767e-20 relative error = 9.8399840535936594948743353706610e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=159.82 NO POLE x[1] = 1.217 y[1] (analytic) = 1.0000453134638205274746134980502 y[1] (numeric) = 1.0000453134638205273761014146648 absolute error = 9.85120833854e-20 relative error = 9.8507619663940311759855821402863e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.218 y[1] (analytic) = 0.99935602076984792274601066416068 y[1] (numeric) = 0.99935602076984792264745859624974 absolute error = 9.855206791094e-20 relative error = 9.8615574292553923856357488667214e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.219 y[1] (analytic) = 0.99866641740551095193700131342909 y[1] (numeric) = 0.99866641740551095183840926477541 absolute error = 9.859204865368e-20 relative error = 9.8723704868155646071121097103671e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.22 y[1] (analytic) = 0.9979765035547680025170219645519 y[1] (numeric) = 0.99797650355476800241838993893781 absolute error = 9.863202561409e-20 relative error = 9.8832011838720778185991225415054e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.221 y[1] (analytic) = 0.99728627940153308494371773892639 y[1] (numeric) = 0.99728627940153308484504574013434 absolute error = 9.867199879205e-20 relative error = 9.8940495653126415423729754660567e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.222 y[1] (analytic) = 0.99659574512967583964099037323824 y[1] (numeric) = 0.99659574512967583954227840504985 absolute error = 9.871196818839e-20 relative error = 9.9049156762700925871467249310084e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop memory used=1518.3MB, alloc=4.6MB, time=160.21 NO POLE x[1] = 1.223 y[1] (analytic) = 0.99590490092302154397622391142332 y[1] (numeric) = 0.99590490092302154387747197762021 absolute error = 9.875193380311e-20 relative error = 9.9157995619446228034173840757139e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.224 y[1] (analytic) = 0.99521374696535111923668815380977 y[1] (numeric) = 0.99521374696535111913789625817342 absolute error = 9.879189563635e-20 relative error = 9.9267012677015896250452506319285e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.225 y[1] (analytic) = 0.99452228344040113760511994123074 y[1] (numeric) = 0.99452228344040113750628808754199 absolute error = 9.883185368875e-20 relative error = 9.9376208391083988184187468386611e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.226 y[1] (analytic) = 0.99383051053186382913448235189475 y[1] (numeric) = 0.99383051053186382903561054393437 absolute error = 9.887180796038e-20 relative error = 9.9485583218276541707147067296157e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.227 y[1] (analytic) = 0.99313842842338708872190188879856 y[1] (numeric) = 0.99313842842338708862299013034694 absolute error = 9.891175845162e-20 relative error = 9.9595137617062084555099812273196e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1522.1MB, alloc=4.6MB, time=160.61 x[1] = 1.228 y[1] (analytic) = 0.99244603729857448308178373545482 y[1] (numeric) = 0.99244603729857448298283203029187 absolute error = 9.895170516295e-20 relative error = 9.9704872047547578012715761993473e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.229 y[1] (analytic) = 0.99175333734098525771810515770435 y[1] (numeric) = 0.99175333734098525761911350961008 absolute error = 9.899164809427e-20 relative error = 9.9814786970799604318028255938429e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.23 y[1] (analytic) = 0.99106032873413434389588712937858 y[1] (numeric) = 0.99106032873413434379685554213242 absolute error = 9.903158724616e-20 relative error = 9.9924882850120211541707090285954e-18 % Correct digits = 19 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.231 y[1] (analytic) = 0.99036701166149236561184425956473 y[1] (numeric) = 0.99036701166149236551277273694582 absolute error = 9.907152261891e-20 relative error = 1.0003516015007642986602493869286e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.232 y[1] (analytic) = 0.98967338630648564656421309922789 y[1] (numeric) = 0.98967338630648564646510164501524 absolute error = 9.911145421265e-20 relative error = 1.0014561933663719346196219530770e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.233 y[1] (analytic) = 0.988979452852496217121758904934 y[1] (numeric) = 0.98897945285249621702260752290602 absolute error = 9.915138202798e-20 relative error = 1.0025626087781641479330686299329e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=161.01 NO POLE x[1] = 1.234 y[1] (analytic) = 0.98828521148286182129196093740982 y[1] (numeric) = 0.98828521148286182119276963134492 absolute error = 9.919130606490e-20 relative error = 1.0036708524259862310333948099898e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.235 y[1] (analytic) = 0.98759066238087592368837637267612 y[1] (numeric) = 0.98759066238087592358914514635226 absolute error = 9.923122632386e-20 relative error = 1.0047809290200671576975856263584e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.236 y[1] (analytic) = 0.98689580572978771649718290347628 y[1] (numeric) = 0.98689580572978771639791176067117 absolute error = 9.927114280511e-20 relative error = 1.0058928432845165036024588616642e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.237 y[1] (analytic) = 0.98620064171280212644290010872283 y[1] (numeric) = 0.98620064171280212634358905321394 absolute error = 9.931105550889e-20 relative error = 1.0070065999593114786942913089061e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.238 y[1] (analytic) = 0.98550517051307982175328966867491 y[1] (numeric) = 0.98550517051307982165393870423926 absolute error = 9.935096443565e-20 relative error = 1.0081222038025968340353100899224e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.239 y[1] (analytic) = 0.98480939231373721912343450355368 y[1] (numeric) = 0.98480939231373721902404363396802 absolute error = 9.939086958566e-20 relative error = 1.0092396595868004838972489518321e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.6MB, time=161.41 NO POLE x[1] = 1.24 y[1] (analytic) = 0.98411330729784649067899691329815 y[1] (numeric) = 0.98411330729784649057956614233909 absolute error = 9.943077095906e-20 relative error = 1.0103589720992037412153533764844e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.241 y[1] (analytic) = 0.98341691564843557093865579615689 y[1] (numeric) = 0.9834169156484355708391851276005 absolute error = 9.947066855639e-20 relative error = 1.0114801461473949672096080821870e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.242 y[1] (analytic) = 0.98272021754848816377572302380289 y[1] (numeric) = 0.98272021754848816367621246142517 absolute error = 9.951056237772e-20 relative error = 1.0126031865505003013237797032241e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.243 y[1] (analytic) = 0.98202321318094374937893905065764 y[1] (numeric) = 0.98202321318094374927938859823418 absolute error = 9.955045242346e-20 relative error = 1.0137280981474846634510390203354e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.244 y[1] (analytic) = 0.98132590272869759121244783509841 y[1] (numeric) = 0.98132590272869759111285749640452 absolute error = 9.959033869389e-20 relative error = 1.0148548857924446075538947356236e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=161.80 NO POLE x[1] = 1.245 y[1] (analytic) = 0.98062828637460074297495115022144 y[1] (numeric) = 0.98062828637460074287532092903202 absolute error = 9.963022118942e-20 relative error = 1.0159835543573253664920432956488e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.246 y[1] (analytic) = 0.97993036430146005555804236182413 y[1] (numeric) = 0.97993036430146005545837226191405 absolute error = 9.967009991008e-20 relative error = 1.0171141087267918603595312067745e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.247 y[1] (analytic) = 0.97923213669203818400371975126684 y[1] (numeric) = 0.97923213669203818390400977641038 absolute error = 9.970997485646e-20 relative error = 1.0182465538078853490922862382710e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.248 y[1] (analytic) = 0.97853360372905359446107946086305 y[1] (numeric) = 0.97853360372905359436132961483451 absolute error = 9.974984602854e-20 relative error = 1.0193808945181586111832134731466e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.249 y[1] (analytic) = 0.97783476559518057114218813944864 y[1] (numeric) = 0.97783476559518057104239842602157 absolute error = 9.978971342707e-20 relative error = 1.0205171357998383584308973012496e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.25 y[1] (analytic) = 0.97713562247304922327713536576483 y[1] (numeric) = 0.97713562247304922317730578871282 absolute error = 9.982957705201e-20 relative error = 1.0216552826039605401953243285894e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=162.19 NO POLE x[1] = 1.251 y[1] (analytic) = 0.97643617454524549206826592729409 y[1] (numeric) = 0.97643617454524549196839649039046 absolute error = 9.986943690363e-20 relative error = 1.0227953399016794840808299117415e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.252 y[1] (analytic) = 0.97573642199431115764359203217303 y[1] (numeric) = 0.97573642199431115754368273919056 absolute error = 9.990929298247e-20 relative error = 1.0239373126839422398385195875526e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.253 y[1] (analytic) = 0.97503636500274384600938553180428 y[1] (numeric) = 0.97503636500274384590943638651556 absolute error = 9.994914528872e-20 relative error = 1.0250812059552131012300691780789e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.254 y[1] (analytic) = 0.97433600375299703600195023178428 y[1] (numeric) = 0.97433600375299703590196123796173 absolute error = 9.998899382255e-20 relative error = 1.0262270247369213678825723836645e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.255 y[1] (analytic) = 0.97363533842748006623857436875511 y[1] (numeric) = 0.97363533842748006613854553017083 absolute error = 1.0002883858428e-19 relative error = 1.0273747740692807141404552261108e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.256 y[1] (analytic) = 0.97293436920855814206766333078357 y[1] (numeric) = 0.97293436920855814196759465120906 absolute error = 1.0006867957451e-19 relative error = 1.0285244590127053572687199681045e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=162.59 NO POLE x[1] = 1.257 y[1] (analytic) = 0.97223309627855234251805269886341 y[1] (numeric) = 0.97223309627855234241794418207027 absolute error = 1.0010851679314e-19 relative error = 1.0296760846378154098441839314041e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.258 y[1] (analytic) = 0.97153151981973962724750168713489 y[1] (numeric) = 0.97153151981973962714735333689411 absolute error = 1.0014835024078e-19 relative error = 1.0308296560399993384075690149945e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.259 y[1] (analytic) = 0.97082964001435284349036705940151 y[1] (numeric) = 0.97082964001435284339017887948393 absolute error = 1.0018817991758e-19 relative error = 1.0319851783274644130674536919256e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.26 y[1] (analytic) = 0.97012745704458073300445759952675 y[1] (numeric) = 0.9701274570445807329042295937028 absolute error = 1.0022800582395e-19 relative error = 1.0331426566287173367461128729406e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.261 y[1] (analytic) = 0.96942497109256793901706921327996 y[1] (numeric) = 0.96942497109256793891680138532005 absolute error = 1.0026782795991e-19 relative error = 1.0343020960859453522827496350912e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1545.0MB, alloc=4.6MB, time=162.98 NO POLE x[1] = 1.262 y[1] (analytic) = 0.96872218234041501317020073920072 y[1] (numeric) = 0.96872218234041501306989309287459 absolute error = 1.0030764632613e-19 relative error = 1.0354635018658142777772034696135e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.263 y[1] (analytic) = 0.96801909097017842246495054603747 y[1] (numeric) = 0.96801909097017842236460308511499 absolute error = 1.0034746092248e-19 relative error = 1.0366268791445910118433054339859e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.264 y[1] (analytic) = 0.96731569716387055620509399431996 y[1] (numeric) = 0.96731569716387055610470672257029 absolute error = 1.0038727174967e-19 relative error = 1.0377922331251452952824933518218e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.265 y[1] (analytic) = 0.96661200110345973293984183960709 y[1] (numeric) = 0.96661200110345973283941476079936 absolute error = 1.0042707880773e-19 relative error = 1.0389595690213342596951261963311e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.266 y[1] (analytic) = 0.96590800297087020740577965495755 y[1] (numeric) = 0.96590800297087020730531277286036 absolute error = 1.0046688209719e-19 relative error = 1.0401288920702717677940838172286e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.267 y[1] (analytic) = 0.96520370294798217746798835015401 y[1] (numeric) = 0.96520370294798217736748166853587 absolute error = 1.0050668161814e-19 relative error = 1.0413002075226872284362361657864e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.6MB, time=163.38 NO POLE x[1] = 1.268 y[1] (analytic) = 0.96449910121663179106034586521399 y[1] (numeric) = 0.96449910121663179095979938784299 absolute error = 1.0054647737100e-19 relative error = 1.0424735206509716529931691023479e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.269 y[1] (analytic) = 0.96379419795861115312501011570767 y[1] (numeric) = 0.96379419795861115302442384635167 absolute error = 1.0058626935600e-19 relative error = 1.0436488367438744655062278519760e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.27 y[1] (analytic) = 0.96308899335566833255108326740178 y[1] (numeric) = 0.96308899335566833245045720982833 absolute error = 1.0062605757345e-19 relative error = 1.0448261611093798696051314725099e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.271 y[1] (analytic) = 0.96238348758950736911245741773936 y[1] (numeric) = 0.96238348758950736901179157571563 absolute error = 1.0066584202373e-19 relative error = 1.0460054990746864821916032730269e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.272 y[1] (analytic) = 0.96167768084178828040484176166034 y[1] (numeric) = 0.96167768084178828030413613895329 absolute error = 1.0070562270705e-19 relative error = 1.0471868559837952953622135421516e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1552.6MB, alloc=4.6MB, time=163.77 x[1] = 1.273 y[1] (analytic) = 0.9609715732941270687819713192623 y[1] (numeric) = 0.96097157329412706868122591963854 absolute error = 1.0074539962376e-19 relative error = 1.0483702372008104501275040709461e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.274 y[1] (analytic) = 0.96026516512809572829099730279276 y[1] (numeric) = 0.96026516512809572819021213001872 absolute error = 1.0078517277404e-19 relative error = 1.0495556481067980893317420446758e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.275 y[1] (analytic) = 0.95955845652522225160705920046073 y[1] (numeric) = 0.95955845652522225150623425830238 absolute error = 1.0082494215835e-19 relative error = 1.0507430941045517150378165770499e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.276 y[1] (analytic) = 0.95885144766699063696703865454598 y[1] (numeric) = 0.9588514476669906368661739467692 absolute error = 1.0086470777678e-19 relative error = 1.0519325806119066304243515001679e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.277 y[1] (analytic) = 0.95814413873484089510249521128252 y[1] (numeric) = 0.95814413873484089500159074165269 absolute error = 1.0090446962983e-19 relative error = 1.0531241130699495383205662373732e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.278 y[1] (analytic) = 0.95743652991016905617178401998153 y[1] (numeric) = 0.95743652991016905607083979226373 absolute error = 1.0094422771780e-19 relative error = 1.0543176969367466622676481005408e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=164.16 NO POLE x[1] = 1.279 y[1] (analytic) = 0.95672862137432717669135555885766 y[1] (numeric) = 0.95672862137432717659037157681675 absolute error = 1.0098398204091e-19 relative error = 1.0555133376886742811710335314469e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 8.573 Order of pole = 44.81 x[1] = 1.28 y[1] (analytic) = 0.95602041330862334646623746501355 y[1] (numeric) = 0.95602041330862334636521373241417 absolute error = 1.0102373259938e-19 relative error = 1.0567110408213368372228451153154e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.281 y[1] (analytic) = 0.95531190589432169551969854603245 y[1] (numeric) = 0.95531190589432169541863506663871 absolute error = 1.0106347939374e-19 relative error = 1.0579108118528967866626727993511e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.282 y[1] (analytic) = 0.95460309931264240102209505062089 y[1] (numeric) = 0.95460309931264240092099182819697 absolute error = 1.0110322242392e-19 relative error = 1.0591126563146391756862526683567e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.283 y[1] (analytic) = 0.95389399374476169421889927574224 y[1] (numeric) = 0.95389399374476169411775631405153 absolute error = 1.0114296169071e-19 relative error = 1.0603165797663397463546372861550e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.284 y[1] (analytic) = 0.9531845893718118673579105876666 y[1] (numeric) = 0.95318458937181186725672789047268 absolute error = 1.0118269719392e-19 relative error = 1.0615225877770809242447812891925e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=164.55 NO POLE x[1] = 1.285 y[1] (analytic) = 0.95247488637488128061564893436908 y[1] (numeric) = 0.95247488637488128051442650543488 absolute error = 1.0122242893420e-19 relative error = 1.0627306859444083646984611089012e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.286 y[1] (analytic) = 0.95176488493501436902293092668837 y[1] (numeric) = 0.95176488493501436892166876977672 absolute error = 1.0126215691165e-19 relative error = 1.0639408798798464490537385978025e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.287 y[1] (analytic) = 0.95105458523321164938962856566366 y[1] (numeric) = 0.95105458523321164928832668453712 absolute error = 1.0130188112654e-19 relative error = 1.0651531752165348860130376883627e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.288 y[1] (analytic) = 0.95034398745042972722861069345393 y[1] (numeric) = 0.95034398745042972712726909187447 absolute error = 1.0134160157946e-19 relative error = 1.0663675776109017911756274021467e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.289 y[1] (analytic) = 0.9496330917675813036788672452395 y[1] (numeric) = 0.94963309176758130357748592696904 absolute error = 1.0138131827046e-19 relative error = 1.0675840927337086764520079155613e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=164.94 NO POLE x[1] = 1.29 y[1] (analytic) = 0.94892189836553518242781637950302 y[1] (numeric) = 0.94892189836553518232639534830306 absolute error = 1.0142103119996e-19 relative error = 1.0688027262797080065592494506387e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.291 y[1] (analytic) = 0.94821040742511627663279456407476 y[1] (numeric) = 0.94821040742511627653133382370672 absolute error = 1.0146074036804e-19 relative error = 1.0700234839602594665354308007614e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.292 y[1] (analytic) = 0.94749861912710561584172969532736 y[1] (numeric) = 0.94749861912710561574022924955206 absolute error = 1.0150044577530e-19 relative error = 1.0712463715124829857199902557423e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.293 y[1] (analytic) = 0.94678653365224035291299732789246 y[1] (numeric) = 0.94678653365224035281145718047073 absolute error = 1.0154014742173e-19 relative error = 1.0724713946874346585577946435942e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.294 y[1] (analytic) = 0.94607415118121377093446009227334 y[1] (numeric) = 0.94607415118121377083288024696548 absolute error = 1.0157984530786e-19 relative error = 1.0736985592623289368669966965499e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.295 y[1] (analytic) = 0.94536147189467529014169037771271 y[1] (numeric) = 0.94536147189467529004007083827893 absolute error = 1.0161953943378e-19 relative error = 1.0749278710302850866920830489620e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=165.33 NO POLE x[1] = 1.296 y[1] (analytic) = 0.94464849597323047483537635767734 y[1] (numeric) = 0.94464849597323047473371712787732 absolute error = 1.0165922980002e-19 relative error = 1.0761593358097171780402674656045e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.297 y[1] (analytic) = 0.94393522359744104029791143530735 y[1] (numeric) = 0.94393522359744104019621251890052 absolute error = 1.0169891640683e-19 relative error = 1.0773929594368163857621222820556e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.298 y[1] (analytic) = 0.94322165494782485970916718617801 y[1] (numeric) = 0.94322165494782485960742858692364 absolute error = 1.0173859925437e-19 relative error = 1.0786287477676470502964674895026e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.299 y[1] (analytic) = 0.94250779020485597106144987571263 y[1] (numeric) = 0.94250779020485597095967159736944 absolute error = 1.0177827834319e-19 relative error = 1.0798667066833292244570803253512e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.3 y[1] (analytic) = 0.94179362954896458407364062857779 y[1] (numeric) = 0.94179362954896458397182267490448 absolute error = 1.0181795367331e-19 relative error = 1.0811068420803796200857261478534e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.301 y[1] (analytic) = 0.94107917316053708710451932739103 y[1] (numeric) = 0.94107917316053708700266170214599 absolute error = 1.0185762524504e-19 relative error = 1.0823491598794980649762203412759e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1571.7MB, alloc=4.6MB, time=165.73 NO POLE x[1] = 1.302 y[1] (analytic) = 0.94036442121991605406527231805908 y[1] (numeric) = 0.94036442121991605396337502500015 absolute error = 1.0189729305893e-19 relative error = 1.0835936660251423493165402940467e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.303 y[1] (analytic) = 0.93964937390740025133118399906149 y[1] (numeric) = 0.93964937390740025122924704194651 absolute error = 1.0193695711498e-19 relative error = 1.0848403664772259458575208563800e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304 y[1] (analytic) = 0.93893403140324464465251237199069 y[1] (numeric) = 0.93893403140324464455053575457701 absolute error = 1.0197661741368e-19 relative error = 1.0860892672222680566341608771460e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.977 Order of pole = 0.04749 x[1] = 1.305 y[1] (analytic) = 0.93821839388766040606454863064738 y[1] (numeric) = 0.938218393887660405962532356692 absolute error = 1.0201627395538e-19 relative error = 1.0873403742667950465643433878421e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.306 y[1] (analytic) = 0.93750246154081492079686086598963 y[1] (numeric) = 0.93750246154081492069480493924954 absolute error = 1.0205592674009e-19 relative error = 1.0885936936352984014157845207418e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=166.12 NO POLE x[1] = 1.307 y[1] (analytic) = 0.9367862345428317941817219642266 y[1] (numeric) = 0.9367862345428317940796263884581 absolute error = 1.0209557576850e-19 relative error = 1.0898492313812066396588071114545e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.308 y[1] (analytic) = 0.93606971307379085856172177533724 y[1] (numeric) = 0.93606971307379085845958655429671 absolute error = 1.0213522104053e-19 relative error = 1.0911069935715207550590395414359e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.309 y[1] (analytic) = 0.93535289731372818019656362929708 y[1] (numeric) = 0.93535289731372818009438876674036 absolute error = 1.0217486255672e-19 relative error = 1.0923669863017419972568384882217e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.31 y[1] (analytic) = 0.93463578744263606616904527728 y[1] (numeric) = 0.93463578744263606606683077696255 absolute error = 1.0221450031745e-19 relative error = 1.0936292156876508154940571564489e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.311 y[1] (analytic) = 0.93391838364046307129022433510312 y[1] (numeric) = 0.93391838364046307118797020078049 absolute error = 1.0225413432263e-19 relative error = 1.0948936878620805839042699861009e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.312 y[1] (analytic) = 0.93320068608711400500376830617544 y[1] (numeric) = 0.93320068608711400490147454160256 absolute error = 1.0229376457288e-19 relative error = 1.0961604089876430680704811963580e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=166.52 NO POLE x[1] = 1.313 y[1] (analytic) = 0.93248269496244993828948926119975 y[1] (numeric) = 0.93248269496244993818715587013139 absolute error = 1.0233339106836e-19 relative error = 1.0974293852443111999401251609841e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.314 y[1] (analytic) = 0.9317644104462882105660632518793 y[1] (numeric) = 0.93176441044628821046369023806982 absolute error = 1.0237301380948e-19 relative error = 1.0987006228371213116910120669318e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.315 y[1] (analytic) = 0.9310458327184024365929345358674 y[1] (numeric) = 0.9310458327184024364905219030709 absolute error = 1.0241263279650e-19 relative error = 1.0999741279919890197858343998833e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.316 y[1] (analytic) = 0.93032696195852251337140469019666 y[1] (numeric) = 0.93032696195852251326895244216698 absolute error = 1.0245224802968e-19 relative error = 1.1012499069574177065402175476819e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.317 y[1] (analytic) = 0.92960779834633462704490669041602 y[1] (numeric) = 0.92960779834633462694241483090672 absolute error = 1.0249185950930e-19 relative error = 1.1025279660048165689840117835728e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1583.1MB, alloc=4.6MB, time=166.91 x[1] = 1.318 y[1] (analytic) = 0.92888834206148125979846403265847 y[1] (numeric) = 0.92888834206148125969593256542289 absolute error = 1.0253146723558e-19 relative error = 1.1038083114277436743171086065252e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.319 y[1] (analytic) = 0.92816859328356119675733497585665 y[1] (numeric) = 0.92816859328356119665476390464757 absolute error = 1.0257107120908e-19 relative error = 1.1050909495463170534374530935438e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.32 y[1] (analytic) = 0.92744855219212953288484198131523 y[1] (numeric) = 0.92744855219212953278223130988529 absolute error = 1.0261067142994e-19 relative error = 1.1063758866991389919097545467031e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.321 y[1] (analytic) = 0.92672821896669767987938642684691 y[1] (numeric) = 0.92672821896669767977673615894858 absolute error = 1.0265026789833e-19 relative error = 1.1076631292482394475526653164185e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.322 y[1] (analytic) = 0.92600759378673337307064867266888 y[1] (numeric) = 0.92600759378673337296795881205414 absolute error = 1.0268986061474e-19 relative error = 1.1089526835823147669044412955887e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.323 y[1] (analytic) = 0.92528667683166067831497355625143 y[1] (numeric) = 0.92528667683166067821224410667193 absolute error = 1.0272944957950e-19 relative error = 1.1102445561116598844968888545917e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.6MB, time=167.31 NO POLE x[1] = 1.324 y[1] (analytic) = 0.92456546828085999888994139330592 y[1] (numeric) = 0.92456546828085999878717235851314 absolute error = 1.0276903479278e-19 relative error = 1.1115387532682685343283308296649e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.325 y[1] (analytic) = 0.92384396831366808238812456209193 y[1] (numeric) = 0.92384396831366808228531594583706 absolute error = 1.0280861625487e-19 relative error = 1.1128352815089648247129478809464e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.326 y[1] (analytic) = 0.92312217710937802761002974821678 y[1] (numeric) = 0.92312217710937802750718155425061 absolute error = 1.0284819396617e-19 relative error = 1.1141341473154080713561476327620e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.327 y[1] (analytic) = 0.92240009484723929145622592709515 y[1] (numeric) = 0.92240009484723929135333815916833 absolute error = 1.0288776792682e-19 relative error = 1.1154353571901948855492603658241e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.328 y[1] (analytic) = 0.92167772170645769581865816123167 y[1] (numeric) = 0.92167772170645769571573082309433 absolute error = 1.0292733813734e-19 relative error = 1.1167389176639013035188013093983e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.329 y[1] (analytic) = 0.92095505786619543447114728947946 y[1] (numeric) = 0.92095505786619543436818038488173 absolute error = 1.0296690459773e-19 relative error = 1.1180448352854363751451870593187e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=167.71 NO POLE x[1] = 1.33 y[1] (analytic) = 0.92023210350557107995907558542752 y[1] (numeric) = 0.92023210350557107985606911811895 absolute error = 1.0300646730857e-19 relative error = 1.1193531166340840382176376202621e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.331 y[1] (analytic) = 0.91950885880365959048825846205602 y[1] (numeric) = 0.91950885880365959038521243578609 absolute error = 1.0304602626993e-19 relative error = 1.1206637683077848227610408594191e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.332 y[1] (analytic) = 0.91878532393949231681300229980083 y[1] (numeric) = 0.91878532393949231670991671831849 absolute error = 1.0308558148234e-19 relative error = 1.1219767969337832137292952748454e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.333 y[1] (analytic) = 0.91806149909205700912334847515453 y[1] (numeric) = 0.91806149909205700902022334220857 absolute error = 1.0312513294596e-19 relative error = 1.1232922091597189164483168159939e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.334 y[1] (analytic) = 0.91733738444029782393150366693177 y[1] (numeric) = 0.91733738444029782382833898627077 absolute error = 1.0316468066100e-19 relative error = 1.1246100116583024366259409608342e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1594.6MB, alloc=4.6MB, time=168.11 NO POLE x[1] = 1.335 y[1] (analytic) = 0.91661298016311533095745651731646 y[1] (numeric) = 0.9166129801631153308542522926884 absolute error = 1.0320422462806e-19 relative error = 1.1259302111311401252209467800765e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.336 y[1] (analytic) = 0.91588828643936652001378072480217 y[1] (numeric) = 0.91588828643936651991053695995511 absolute error = 1.0324376484706e-19 relative error = 1.1272528142971825865305436173415e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.337 y[1] (analytic) = 0.91516330344786480788962464613599 y[1] (numeric) = 0.91516330344786480778634134481749 absolute error = 1.0328330131850e-19 relative error = 1.1285778279065782294770734228583e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.338 y[1] (analytic) = 0.91443803136738004523388748436206 y[1] (numeric) = 0.91443803136738004513056465031925 absolute error = 1.0332283404281e-19 relative error = 1.1299052587337056576733780595948e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.339 y[1] (analytic) = 0.9137124703766385234375821400613 y[1] (numeric) = 0.91371247037663852333421977704138 absolute error = 1.0336236301992e-19 relative error = 1.1312351135725807454102904525762e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.34 y[1] (analytic) = 0.91298662065432298151538480287687 y[1] (numeric) = 0.91298662065432298141198291462641 absolute error = 1.0340188825046e-19 relative error = 1.1325673992500953875485627551449e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1598.4MB, alloc=4.6MB, time=168.50 NO POLE x[1] = 1.341 y[1] (analytic) = 0.9122604823790726129863713604035 y[1] (numeric) = 0.91226048237907261288292995066894 absolute error = 1.0344140973456e-19 relative error = 1.1339021226130112687598507351758e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.342 y[1] (analytic) = 0.91153405572948307275394070152118 y[1] (numeric) = 0.91153405572948307265045977404848 absolute error = 1.0348092747270e-19 relative error = 1.1352392905373811338598727093470e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.343 y[1] (analytic) = 0.9108073408841064839849249912393 y[1] (numeric) = 0.91080734088410648388140454977438 absolute error = 1.0352044146492e-19 relative error = 1.1365789099200092262971902034903e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.344 y[1] (analytic) = 0.91008033802145144498788699411835 y[1] (numeric) = 0.91008033802145144488432704240673 absolute error = 1.0355995171162e-19 relative error = 1.1379209876873418954493036764742e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.345 y[1] (analytic) = 0.90935304731998303609060452332397 y[1] (numeric) = 0.90935304731998303598700506511084 absolute error = 1.0359945821313e-19 relative error = 1.1392655307908748410936613674690e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.346 y[1] (analytic) = 0.90862546895812282651674209236656 y[1] (numeric) = 0.90862546895812282641310313139687 memory used=1602.2MB, alloc=4.6MB, time=168.90 absolute error = 1.0363896096969e-19 relative error = 1.1406125462070507176975172255768e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.347 y[1] (analytic) = 0.9078976031142488812617098465717 y[1] (numeric) = 0.9078976031142488811580313865901 absolute error = 1.0367845998160e-19 relative error = 1.1419620409390287974792428878528e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.348 y[1] (analytic) = 0.90716944996669576796770985132037 y[1] (numeric) = 0.90716944996669576786399189607111 absolute error = 1.0371795524926e-19 relative error = 1.1433140220172506861590559565387e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.349 y[1] (analytic) = 0.90644100969375456379796981409209 y[1] (numeric) = 0.90644100969375456369421236731916 absolute error = 1.0375744677293e-19 relative error = 1.1446684964969198635622424954315e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.35 y[1] (analytic) = 0.9057122824736728623101643173389 y[1] (numeric) = 0.90571228247367286220636738278587 absolute error = 1.0379693455303e-19 relative error = 1.1460254714614313187071347417620e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.351 y[1] (analytic) = 0.90498326848465478032902363920966 y[1] (numeric) = 0.90498326848465478022518722062023 absolute error = 1.0383641858943e-19 relative error = 1.1473849540146574258643634009685e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=169.29 NO POLE x[1] = 1.352 y[1] (analytic) = 0.90425396790486096481813023914273 y[1] (numeric) = 0.90425396790486096471425434025983 absolute error = 1.0387589888290e-19 relative error = 1.1487469512970836934325942313425e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.353 y[1] (analytic) = 0.90352438091240859975090298533062 y[1] (numeric) = 0.90352438091240859964698760989715 absolute error = 1.0391537543347e-19 relative error = 1.1501114704678233515657887223598e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.354 y[1] (analytic) = 0.90279450768537141298076920106495 y[1] (numeric) = 0.90279450768537141287681435282357 absolute error = 1.0395484824138e-19 relative error = 1.1514785187152335438513443384266e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.355 y[1] (analytic) = 0.90206434840177968311052460695495 y[1] (numeric) = 0.90206434840177968300653028964772 absolute error = 1.0399431730723e-19 relative error = 1.1528481032587145927178848004521e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.356 y[1] (analytic) = 0.90133390323962024636088123600976 y[1] (numeric) = 0.90133390323962024625684745337864 absolute error = 1.0403378263112e-19 relative error = 1.1542202313393125120377953903299e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.357 y[1] (analytic) = 0.90060317237683650343820339857127 y[1] (numeric) = 0.90060317237683650333413015435812 absolute error = 1.0407324421315e-19 relative error = 1.1555949102253768817945984504872e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=169.67 NO POLE x[1] = 1.358 y[1] (analytic) = 0.89987215599132842640143177407453 y[1] (numeric) = 0.89987215599132842629731907202056 absolute error = 1.0411270205397e-19 relative error = 1.1569721472188020107226224190611e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.359 y[1] (analytic) = 0.89914085426095256552819570660632 y[1] (numeric) = 0.89914085426095256542404355045243 absolute error = 1.0415215615389e-19 relative error = 1.1583519496452833706469264021854e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.36 y[1] (analytic) = 0.89840926736352205618011378123045 y[1] (numeric) = 0.89840926736352205607592217471748 absolute error = 1.0419160651297e-19 relative error = 1.1597343248554347265052157247779e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.361 y[1] (analytic) = 0.89767739547680662566728275803908 y[1] (numeric) = 0.89767739547680662556305170490762 absolute error = 1.0423105313146e-19 relative error = 1.1611192802298097681254414391753e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.362 y[1] (analytic) = 0.89694523877853260011195494088322 y[1] (numeric) = 0.89694523877853260000768444487335 absolute error = 1.0427049600987e-19 relative error = 1.1625068231798233152578747557454e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.6MB, time=170.07 NO POLE x[1] = 1.363 y[1] (analytic) = 0.89621279744638291131140405772997 y[1] (numeric) = 0.89621279744638291120709412258152 absolute error = 1.0430993514845e-19 relative error = 1.1638969611420938971694866404222e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.364 y[1] (analytic) = 0.89548007165799710359997972958941 y[1] (numeric) = 0.89548007165799710349563035904201 absolute error = 1.0434937054740e-19 relative error = 1.1652897015809107286150604019660e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.365 y[1] (analytic) = 0.89474706159097134071035060494619 y[1] (numeric) = 0.894747061590971340605961802739 absolute error = 1.0438880220719e-19 relative error = 1.1666850519919423022699336432475e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.366 y[1] (analytic) = 0.89401376742285841263393623662397 y[1] (numeric) = 0.89401376742285841252950800649617 absolute error = 1.0442823012780e-19 relative error = 1.1680830198938829857896562776525e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.367 y[1] (analytic) = 0.8932801893311677424805277780093 y[1] (numeric) = 0.89328018933116774237606012369927 absolute error = 1.0446765431003e-19 relative error = 1.1694836128432316011731627340037e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.368 y[1] (analytic) = 0.89254632749336539333709757554684 y[1] (numeric) = 0.89254632749336539323259050079326 absolute error = 1.0450707475358e-19 relative error = 1.1708868384129543949298691631786e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=170.47 NO POLE x[1] = 1.369 y[1] (analytic) = 0.89181218208687407512579773442446 y[1] (numeric) = 0.89181218208687407502125124296524 absolute error = 1.0454649145922e-19 relative error = 1.1722927042169044463046324036321e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.37 y[1] (analytic) = 0.89107775328907315146114773434518 y[1] (numeric) = 0.89107775328907315135656182991813 absolute error = 1.0458590442705e-19 relative error = 1.1737012178904824370254601245673e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.371 y[1] (analytic) = 0.89034304127729864650641117229143 y[1] (numeric) = 0.89034304127729864640178585863417 absolute error = 1.0462531365726e-19 relative error = 1.1751123870992809001631220671112e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.372 y[1] (analytic) = 0.88960804622884325182916170917148 y[1] (numeric) = 0.88960804622884325172449699002098 absolute error = 1.0466471915050e-19 relative error = 1.1765262195433874415041216828787e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.373 y[1] (analytic) = 0.88887276832095633325603829723376 y[1] (numeric) = 0.88887276832095633315133417632707 absolute error = 1.0470412090669e-19 relative error = 1.1779427229441591159852129448332e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.374 y[1] (analytic) = 0.8881372077308439377266897651336 y[1] (numeric) = 0.88813720773084393762194624620733 absolute error = 1.0474351892627e-19 relative error = 1.1793619050584044513544012012543e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1621.3MB, alloc=4.6MB, time=170.86 NO POLE x[1] = 1.375 y[1] (analytic) = 0.88740136463566880014690883752279 y[1] (numeric) = 0.88740136463566880004212592431316 absolute error = 1.0478291320963e-19 relative error = 1.1807837736721267822582476933381e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.376 y[1] (analytic) = 0.88666523921255035024095566603257 y[1] (numeric) = 0.88666523921255035013613336227567 absolute error = 1.0482230375690e-19 relative error = 1.1822083365982967152254115001352e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.377 y[1] (analytic) = 0.88592883163856471940307094851267 y[1] (numeric) = 0.88592883163856471929820925794434 absolute error = 1.0486169056833e-19 relative error = 1.1836356016812732716415148262276e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.378 y[1] (analytic) = 0.88519214209074474754817871338194 y[1] (numeric) = 0.88519214209074474744327763973736 absolute error = 1.0490107364458e-19 relative error = 1.1850655768002304785543682475644e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.379 y[1] (analytic) = 0.88445517074607998996177884593952 y[1] (numeric) = 0.88445517074607998985683839295393 absolute error = 1.0494045298559e-19 relative error = 1.1864982698565461296763747735244e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1625.1MB, alloc=4.6MB, time=171.25 NO POLE x[1] = 1.38 y[1] (analytic) = 0.88371791778151672414902943348432 y[1] (numeric) = 0.88371791778151672404404960489247 absolute error = 1.0497982859185e-19 relative error = 1.1879336887882855440984642470959e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.381 y[1] (analytic) = 0.88298038337395795668301900607645 y[1] (numeric) = 0.8829803833739579565779998056129 absolute error = 1.0501920046355e-19 relative error = 1.1893718415607483959172206286200e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.382 y[1] (analytic) = 0.88224256770026343005222874977564 y[1] (numeric) = 0.88224256770026342994717018117468 absolute error = 1.0505856860096e-19 relative error = 1.1908127361709099996521465020120e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.383 y[1] (analytic) = 0.88150447093724962950718476918103 y[1] (numeric) = 0.88150447093724962940208683617661 absolute error = 1.0509793300442e-19 relative error = 1.1922563806474607541815305271543e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.384 y[1] (analytic) = 0.88076609326168978990630047609226 y[1] (numeric) = 0.88076609326168978980116318241794 absolute error = 1.0513729367432e-19 relative error = 1.1937027830507323690682625647483e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.385 y[1] (analytic) = 0.88002743485031390256090918110538 y[1] (numeric) = 0.88002743485031390245573253049451 absolute error = 1.0517665061087e-19 relative error = 1.1951519514702375516989348404249e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=171.64 NO POLE x[1] = 1.386 y[1] (analytic) = 0.87928849587980872207948696495178 y[1] (numeric) = 0.87928849587980872197427096113738 absolute error = 1.0521600381440e-19 relative error = 1.1966038940282250106771720124029e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.387 y[1] (analytic) = 0.87854927652681777321106590638039 y[1] (numeric) = 0.87854927652681777310581055309539 absolute error = 1.0525535328500e-19 relative error = 1.1980586188757401311973279596284e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.388 y[1] (analytic) = 0.87780977696794135768783774338034 y[1] (numeric) = 0.87780977696794135758254304435702 absolute error = 1.0529469902332e-19 relative error = 1.1995161342018805729183006221154e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.389 y[1] (analytic) = 0.8770699973797365610669480445302 y[1] (numeric) = 0.87706999737973656096161400350073 absolute error = 1.0533404102947e-19 relative error = 1.2009764482214357785516569052529e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.39 y[1] (analytic) = 0.87632993793871725957148096726067 y[1] (numeric) = 0.876329937938717259466107587957 absolute error = 1.0537337930367e-19 relative error = 1.2024395691824336509192583753884e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE memory used=1632.7MB, alloc=4.6MB, time=172.05 x[1] = 1.391 y[1] (analytic) = 0.87558959882135412693063467980544 y[1] (numeric) = 0.87558959882135412682522196595908 absolute error = 1.0541271384636e-19 relative error = 1.2039055053675583349402063140401e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.392 y[1] (analytic) = 0.87484898020407464121908752361114 y[1] (numeric) = 0.87484898020407464111363547895349 absolute error = 1.0545204465765e-19 relative error = 1.2053742650880311700397007296215e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.393 y[1] (analytic) = 0.87410808226326309169555499297322 y[1] (numeric) = 0.87410808226326309159006362123503 absolute error = 1.0549137173819e-19 relative error = 1.2068458566937057888532877246747e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.394 y[1] (analytic) = 0.87336690517526058564053760865326 y[1] (numeric) = 0.87336690517526058553500691356526 absolute error = 1.0553069508800e-19 relative error = 1.2083202885598568434255659069010e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.395 y[1] (analytic) = 0.87262544911636505519325976223421 y[1] (numeric) = 0.87262544911636505508768974752698 absolute error = 1.0557001470723e-19 relative error = 1.2097975690960186964470139966682e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.396 y[1] (analytic) = 0.87188371426283126418779960795805 y[1] (numeric) = 0.87188371426283126408219027736148 absolute error = 1.0560933059657e-19 relative error = 1.2112777067508550217651776932865e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=172.44 NO POLE x[1] = 1.397 y[1] (analytic) = 0.87114170079087081498841007878506 y[1] (numeric) = 0.87114170079087081488276143602896 absolute error = 1.0564864275610e-19 relative error = 1.2127607099991458896951582526636e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.398 y[1] (analytic) = 0.87039940887665215532403110341254 y[1] (numeric) = 0.87039940887665215521834315222664 absolute error = 1.0568795118590e-19 relative error = 1.2142465873489290242092076106644e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.399 y[1] (analytic) = 0.86965683869630058512199310097984 y[1] (numeric) = 0.86965683869630058501626584509291 absolute error = 1.0572725588693e-19 relative error = 1.2157353473517824122317363766604e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.4 y[1] (analytic) = 0.86891399042589826334091183017841 y[1] (numeric) = 0.86891399042589826323514527331969 absolute error = 1.0576655685872e-19 relative error = 1.2172269985764472905018142732826e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.401 y[1] (analytic) = 0.86817086424148421480277466949122 y[1] (numeric) = 0.86817086424148421469696881538932 absolute error = 1.0580585410190e-19 relative error = 1.2187215496380652363408858221127e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.402 y[1] (analytic) = 0.86742746031905433702421840526289 y[1] (numeric) = 0.86742746031905433691837325764596 absolute error = 1.0584514761693e-19 relative error = 1.2202190091837579513571399240547e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=172.83 NO POLE x[1] = 1.403 y[1] (analytic) = 0.8666837788345614070469986043093 y[1] (numeric) = 0.86668377883456140694111416690554 absolute error = 1.0588443740376e-19 relative error = 1.2217193858888635507563347787218e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404 y[1] (analytic) = 0.8659398199639150882676506477653 y[1] (numeric) = 0.86593981996391508816172692430222 absolute error = 1.0592372346308e-19 relative error = 1.2232226884715151253149458964401e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.405 y[1] (analytic) = 0.86519558388298193726634250285799 y[1] (numeric) = 0.86519558388298193716037949706312 absolute error = 1.0596300579487e-19 relative error = 1.2247289256760878315538066778657e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.406 y[1] (analytic) = 0.86445107076758541063491930929671 y[1] (numeric) = 0.86445107076758541052891702489715 absolute error = 1.0600228439956e-19 relative error = 1.2262381062867531873720703771300e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.407 y[1] (analytic) = 0.86370628079350587180413985695476 y[1] (numeric) = 0.86370628079350587169809829767752 absolute error = 1.0604155927724e-19 relative error = 1.2277502391185264696124618658934e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=173.22 NO POLE x[1] = 1.408 y[1] (analytic) = 0.86296121413648059787010503152017 y[1] (numeric) = 0.86296121413648059776402420109162 absolute error = 1.0608083042855e-19 relative error = 1.2292653330277357429500659538369e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.409 y[1] (analytic) = 0.86221587097220378641987830477931 y[1] (numeric) = 0.86221587097220378631375820692564 absolute error = 1.0612009785367e-19 relative error = 1.2307833969005090584456595328160e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.41 y[1] (analytic) = 0.86147025147632656235629834619829 y[1] (numeric) = 0.86147025147632656225013898464549 absolute error = 1.0615936155280e-19 relative error = 1.2323044396584980419492897146270e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.411 y[1] (analytic) = 0.8607243558244569847219838324555 y[1] (numeric) = 0.86072435582445698461578521092923 absolute error = 1.0619862152627e-19 relative error = 1.2338284702603326470819200223501e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.412 y[1] (analytic) = 0.8599781841921600535225305315747 y[1] (numeric) = 0.85997818419216005341629265380035 absolute error = 1.0623787777435e-19 relative error = 1.2353554976995951579193704889134e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.413 y[1] (analytic) = 0.85923173675495771654890073830243 y[1] (numeric) = 0.85923173675495771644262360800499 absolute error = 1.0627713029744e-19 relative error = 1.2368855310072063305148041552417e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1648.0MB, alloc=4.6MB, time=173.62 NO POLE x[1] = 1.414 y[1] (analytic) = 0.85848501368832887619900513736586 y[1] (numeric) = 0.85848501368832887609268875827029 absolute error = 1.0631637909557e-19 relative error = 1.2384185792457867066850927646566e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.415 y[1] (analytic) = 0.85773801516770939629847717124425 y[1] (numeric) = 0.85773801516770939619212154707478 absolute error = 1.0635562416947e-19 relative error = 1.2399546515222925661697618431134e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.416 y[1] (analytic) = 0.85699074136849210892063998907477 y[1] (numeric) = 0.8569907413684921088142451235558 absolute error = 1.0639486551897e-19 relative error = 1.2414937569695625769689352983593e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.417 y[1] (analytic) = 0.85624319246602682120566605331756 y[1] (numeric) = 0.85624319246602682109923195017277 absolute error = 1.0643410314479e-19 relative error = 1.2430359047673595151419999984406e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.418 y[1] (analytic) = 0.85549536863562032217892948078594 y[1] (numeric) = 0.85549536863562032207245614373911 absolute error = 1.0647333704683e-19 relative error = 1.2445811041226104658696159737089e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.419 y[1] (analytic) = 0.85474727005253638956855119465528 y[1] (numeric) = 0.85474727005253638946203862742945 absolute error = 1.0651256722583e-19 relative error = 1.2461293642889703084572631728954e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.6MB, time=174.01 NO POLE x[1] = 1.42 y[1] (analytic) = 0.85399889689199579662213696404437 y[1] (numeric) = 0.85399889689199579651558517036279 absolute error = 1.0655179368158e-19 relative error = 1.2476806945460899810557826871697e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.421 y[1] (analytic) = 0.85325024932917631892270840777105 y[1] (numeric) = 0.85325024932917631881611739135611 absolute error = 1.0659101641494e-19 relative error = 1.2492351042234285793014820403291e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.422 y[1] (analytic) = 0.85250132753921274120382703886258 y[1] (numeric) = 0.85250132753921274109719680343691 absolute error = 1.0663023542567e-19 relative error = 1.2507926026750415744914395281581e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.423 y[1] (analytic) = 0.85175213169719686416391142641135 y[1] (numeric) = 0.85175213169719686405724197569701 absolute error = 1.0666945071434e-19 relative error = 1.2523531993021374391147931154207e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.424 y[1] (analytic) = 0.85100266197817751127974755134524 y[1] (numeric) = 0.851002661978177511173038889064 absolute error = 1.0670866228124e-19 relative error = 1.2539169035405010137132173401714e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=174.40 NO POLE x[1] = 1.425 y[1] (analytic) = 0.85025291855716053561919243268707 y[1] (numeric) = 0.85025291855716053551244456256047 absolute error = 1.0674787012660e-19 relative error = 1.2554837248632577058606560559463e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.426 y[1] (analytic) = 0.84950290160910882665307110086595 y[1] (numeric) = 0.84950290160910882654628402661518 absolute error = 1.0678707425077e-19 relative error = 1.2570536727831815989656080971725e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.427 y[1] (analytic) = 0.84875261130894231706626699463811 y[1] (numeric) = 0.84875261130894231695944071998435 absolute error = 1.0682627465376e-19 relative error = 1.2586267568474754694073511372482e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.428 y[1] (analytic) = 0.84800204783153798956800585817136 y[1] (numeric) = 0.84800204783153798946114038683487 absolute error = 1.0686547133649e-19 relative error = 1.2602029866526882829932921904988e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.429 y[1] (analytic) = 0.84725121135172988370133321483433 y[1] (numeric) = 0.84725121135172988359442855053558 absolute error = 1.0690466429875e-19 relative error = 1.2617823718208806822266663640485e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.43 y[1] (analytic) = 0.84650010204430910265178549423719 y[1] (numeric) = 0.84650010204430910254484164069625 absolute error = 1.0694385354094e-19 relative error = 1.2633649220203182373432682032307e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=174.79 NO POLE x[1] = 1.431 y[1] (analytic) = 0.8457487200840238200552548890516 y[1] (numeric) = 0.84574872008402381994827184998819 absolute error = 1.0698303906341e-19 relative error = 1.2649506469578978664741358809690e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.432 y[1] (analytic) = 0.8449970656455792868050480181404 y[1] (numeric) = 0.84499706564557928669802579727412 absolute error = 1.0702222086628e-19 relative error = 1.2665395563772145131458130546011e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.433 y[1] (analytic) = 0.84424513890363783785813847251921 y[1] (numeric) = 0.84424513890363783775107707356893 absolute error = 1.0706139895028e-19 relative error = 1.2681316600686994404415138017789e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.434 y[1] (analytic) = 0.84349294003281889904061332066219 y[1] (numeric) = 0.84349294003281889893351274734689 absolute error = 1.0710057331530e-19 relative error = 1.2697269678526638988026376938323e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.435 y[1] (analytic) = 0.8427404692076989938523136496665 y[1] (numeric) = 0.84274046920769899374517390570478 absolute error = 1.0713974396172e-19 relative error = 1.2713254895952397593383742634067e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=175.18 NO POLE x[1] = 1.436 y[1] (analytic) = 0.8419877266028117502706692187743 y[1] (numeric) = 0.84198772660281175016349030788437 absolute error = 1.0717891088993e-19 relative error = 1.2729272352029090093649780764916e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.437 y[1] (analytic) = 0.84123471239264790755372730175163 y[1] (numeric) = 0.84123471239264790744650922765156 absolute error = 1.0721807410007e-19 relative error = 1.2745322146196192541562507640814e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.438 y[1] (analytic) = 0.840481426751655323042375794616 y[1] (numeric) = 0.84048142675165532293511856102347 absolute error = 1.0725723359253e-19 relative error = 1.2761404378329263006857368628252e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.439 y[1] (analytic) = 0.83972786985423897896176066519634 y[1] (numeric) = 0.83972786985423897885446427582865 absolute error = 1.0729638936769e-19 relative error = 1.2777519148711194065110400960906e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.44 y[1] (analytic) = 0.8389740418747609892218978210054 y[1] (numeric) = 0.83897404187476098911456227957954 absolute error = 1.0733554142586e-19 relative error = 1.2793666558027150670714324352424e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.441 y[1] (analytic) = 0.83821994298754060621747947189724 y[1] (numeric) = 0.83821994298754060611010478213026 absolute error = 1.0737468976698e-19 relative error = 1.2809846707330850185248287577212e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=175.58 NO POLE x[1] = 1.442 y[1] (analytic) = 0.83746557336685422762687506397847 y[1] (numeric) = 0.83746557336685422751946122958667 absolute error = 1.0741383439180e-19 relative error = 1.2826059698187385400647718845156e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.443 y[1] (analytic) = 0.83671093318693540321032686123006 y[1] (numeric) = 0.83671093318693540310287388592962 absolute error = 1.0745297530044e-19 relative error = 1.2842305632503690995080699860062e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.444 y[1] (analytic) = 0.83595602262197484160734025129927 y[1] (numeric) = 0.83595602262197484149984813880631 absolute error = 1.0749211249296e-19 relative error = 1.2858584612598536759251245028250e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.445 y[1] (analytic) = 0.83520084184612041713326885190862 y[1] (numeric) = 0.83520084184612041702573760593842 absolute error = 1.0753124597020e-19 relative error = 1.2874896741305229359436259838437e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.446 y[1] (analytic) = 0.8344453910334771765750944943216 y[1] (numeric) = 0.8344453910334771764675241185898 absolute error = 1.0757037573180e-19 relative error = 1.2891242121736924557137756641674e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.447 y[1] (analytic) = 0.83368967035810734598640216030891 y[1] (numeric) = 0.83368967035810734587879265853037 absolute error = 1.0760950177854e-19 relative error = 1.2907620857568843514274673927564e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=175.97 NO POLE x[1] = 1.448 y[1] (analytic) = 0.83293367999403033748154994903716 y[1] (numeric) = 0.83293367999403033737390132492673 absolute error = 1.0764862411043e-19 relative error = 1.2924033052811782224609503225244e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.449 y[1] (analytic) = 0.83217742011522275602903415031201 y[1] (numeric) = 0.83217742011522275592134640758406 absolute error = 1.0768774272795e-19 relative error = 1.2940478811962913349595944993478e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.45 y[1] (analytic) = 0.83142089089561840624404950058915 y[1] (numeric) = 0.83142089089561840613632264295772 absolute error = 1.0772685763143e-19 relative error = 1.2956958239933699177777305558326e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.451 y[1] (analytic) = 0.83066409250910829918024469816797 y[1] (numeric) = 0.83066409250910829907247872934694 absolute error = 1.0776596882103e-19 relative error = 1.2973471442049643840478696539774e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.452 y[1] (analytic) = 0.82990702512954065912067325397396 y[1] (numeric) = 0.82990702512954065901286817767688 absolute error = 1.0780507629708e-19 relative error = 1.2990018524093424125912396821413e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1674.7MB, alloc=4.6MB, time=176.36 NO POLE x[1] = 1.453 y[1] (analytic) = 0.82914968893072093036793975432918 y[1] (numeric) = 0.82914968893072093026009557426939 absolute error = 1.0784418005979e-19 relative error = 1.3006599592272276808186027632237e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.454 y[1] (analytic) = 0.82839208408641178403354161210617 y[1] (numeric) = 0.82839208408641178392565833199649 absolute error = 1.0788328010968e-19 relative error = 1.3023214753272124192965871331753e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.455 y[1] (analytic) = 0.82763421077033312482640638265169 y[1] (numeric) = 0.82763421077033312471848400620489 absolute error = 1.0792237644680e-19 relative error = 1.3039864114165798837173418187906e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.456 y[1] (analytic) = 0.8268760691561620978406247208649 y[1] (numeric) = 0.82687606915616209773266325179343 absolute error = 1.0796146907147e-19 relative error = 1.3056547782504589702580601017241e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.457 y[1] (analytic) = 0.82611765941753309534237905580373 y[1] (numeric) = 0.82611765941753309523437849781952 absolute error = 1.0800055798421e-19 relative error = 1.3073265866312245041362539942876e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.458 y[1] (analytic) = 0.82535898172803776355606805918958 y[1] (numeric) = 0.8253589817280377634480284160045 absolute error = 1.0803964318508e-19 relative error = 1.3090018474007460064550983497077e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.6MB, time=176.76 NO POLE x[1] = 1.459 y[1] (analytic) = 0.82460003626122500944962698417626 y[1] (numeric) = 0.82460003626122500934154825950175 absolute error = 1.0807872467451e-19 relative error = 1.3106805714506632101788533117470e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.46 y[1] (analytic) = 0.82384082319060100751904395073818 y[1] (numeric) = 0.82384082319060100741092614828537 absolute error = 1.0811780245281e-19 relative error = 1.3123627697166960295939530969941e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.461 y[1] (analytic) = 0.82308134268962920657207225403135 y[1] (numeric) = 0.8230813426896292064639153775112 absolute error = 1.0815687652015e-19 relative error = 1.3140484531786334768321842954507e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.462 y[1] (analytic) = 0.82232159493173033651113877207268 y[1] (numeric) = 0.8223215949317303364029428251958 absolute error = 1.0819594687688e-19 relative error = 1.3157376328644573239442743091477e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.463 y[1] (analytic) = 0.82156158009028241511544854907626 y[1] (numeric) = 0.82156158009028241500721353555303 absolute error = 1.0823501352323e-19 relative error = 1.3174303198469422206645790410714e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.464 memory used=1682.3MB, alloc=4.6MB, time=177.15 y[1] (analytic) = 0.82080129833862075482228563078157 y[1] (numeric) = 0.82080129833862075471401155432186 absolute error = 1.0827407645971e-19 relative error = 1.3191265252487653599131665229923e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.465 y[1] (analytic) = 0.82004074985003796950751022809914 y[1] (numeric) = 0.82004074985003796939919709241275 absolute error = 1.0831313568639e-19 relative error = 1.3208262602339868938372762246468e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.466 y[1] (analytic) = 0.81927993479778398126525228539778 y[1] (numeric) = 0.8192799347977839811569000941942 absolute error = 1.0835219120358e-19 relative error = 1.3225295360165712558704176924063e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.467 y[1] (analytic) = 0.81851885335506602718680152974656 y[1] (numeric) = 0.81851885335506602707841028673476 absolute error = 1.0839124301180e-19 relative error = 1.3242363638602819759703615735499e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.468 y[1] (analytic) = 0.81775750569504866613869407742095 y[1] (numeric) = 0.81775750569504866603026378630984 absolute error = 1.0843029111111e-19 relative error = 1.3259467550707498264013433122038e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.469 y[1] (analytic) = 0.81699589199085378553999567397848 y[1] (numeric) = 0.81699589199085378543152633847655 absolute error = 1.0846933550193e-19 relative error = 1.3276607210057343466843801666428e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=177.55 NO POLE x[1] = 1.47 y[1] (analytic) = 0.81623401241556060813878164419837 y[1] (numeric) = 0.81623401241556060803027326801385 absolute error = 1.0850837618452e-19 relative error = 1.3293782730690261365841640157174e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.471 y[1] (analytic) = 0.81547186714220569878781362817817 y[1] (numeric) = 0.81547186714220569867926621501908 absolute error = 1.0854741315909e-19 relative error = 1.3310994227120407532552915476681e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.472 y[1] (analytic) = 0.81470945634378297121941317987193 y[1] (numeric) = 0.81470945634378297111082673344601 absolute error = 1.0858644642592e-19 relative error = 1.3328241814355444805258358037558e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.473 y[1] (analytic) = 0.81394678019324369481953230434888 y[1] (numeric) = 0.81394678019324369471090682836337 absolute error = 1.0862547598551e-19 relative error = 1.3345525607917585621774092837720e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.474 y[1] (analytic) = 0.81318383886349650140102101004492 y[1] (numeric) = 0.81318383886349650129235650820693 absolute error = 1.0866450183799e-19 relative error = 1.3362845723773754427175136069636e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.475 y[1] (analytic) = 0.81242063252740739197609195227575 y[1] (numeric) = 0.81242063252740739186738842829201 absolute error = 1.0870352398374e-19 relative error = 1.3380202278414296120718106900674e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=177.94 NO POLE x[1] = 1.476 y[1] (analytic) = 0.81165716135779974352798224427027 y[1] (numeric) = 0.81165716135779974341923970184722 absolute error = 1.0874254242305e-19 relative error = 1.3397595388813853890202695472843e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.477 y[1] (analytic) = 0.81089342552745431578181251198041 y[1] (numeric) = 0.81089342552745431567303095482434 absolute error = 1.0878155715607e-19 relative error = 1.3415025172427791083003673434662e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.478 y[1] (analytic) = 0.81012942520910925797464326891624 y[1] (numeric) = 0.81012942520910925786582270073306 absolute error = 1.0882056818318e-19 relative error = 1.3432491747240438301551671796377e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.479 y[1] (analytic) = 0.809365160575460115624728687248 y[1] (numeric) = 0.80936516057546011551586911174322 absolute error = 1.0885957550478e-19 relative error = 1.3449995231741954631194806152750e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.48 y[1] (analytic) = 0.80860063179915983729996784141234 y[1] (numeric) = 0.80860063179915983719106926229129 absolute error = 1.0889857912105e-19 relative error = 1.3467535744901349607372661375218e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=178.34 NO POLE x[1] = 1.481 y[1] (analytic) = 0.80783583905281878138555350045391 y[1] (numeric) = 0.8078358390528187812766159214216 absolute error = 1.0893757903231e-19 relative error = 1.3485113406213626458132177207241e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.482 y[1] (analytic) = 0.80707078250900472285081854532594 y[1] (numeric) = 0.80707078250900472274184197008694 absolute error = 1.0897657523900e-19 relative error = 1.3502728335700111499956481375984e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.483 y[1] (analytic) = 0.806305462340242860015280087368 y[1] (numeric) = 0.80630546234024285990626451962694 absolute error = 1.0901556774106e-19 relative error = 1.3520380653834374022687855757787e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.484 y[1] (analytic) = 0.80553987871901582131388136417569 y[1] (numeric) = 0.80553987871901582120482680763668 absolute error = 1.0905455653901e-19 relative error = 1.3538070481678764429351478617261e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.485 y[1] (analytic) = 0.80477403181776367206143148906529 y[1] (numeric) = 0.804774031817763671952337947432 absolute error = 1.0909354163329e-19 relative error = 1.3555797940805523952355370226734e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.486 y[1] (analytic) = 0.8040079218088839212162431303354 y[1] (numeric) = 0.80400792180888392110711060731168 absolute error = 1.0913252302372e-19 relative error = 1.3573563153232370967819216499191e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1697.6MB, alloc=4.6MB, time=178.74 NO POLE x[1] = 1.487 y[1] (analytic) = 0.8032415488647315281429681965221 y[1] (numeric) = 0.80324154886473152803379669581093 absolute error = 1.0917150071117e-19 relative error = 1.3591366241632855750039053398701e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.488 y[1] (analytic) = 0.80247491315761890937463160382997 y[1] (numeric) = 0.80247491315761890926542112913432 absolute error = 1.0921047469565e-19 relative error = 1.3609207329101802816524596727886e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.489 y[1] (analytic) = 0.80170801485981594537386320192776 y[1] (numeric) = 0.80170801485981594526461375695039 absolute error = 1.0924944497737e-19 relative error = 1.3627086539289868823151162366166e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.49 y[1] (analytic) = 0.80094085414354998729332793428085 y[1] (numeric) = 0.80094085414354998718403952272397 absolute error = 1.0928841155688e-19 relative error = 1.3645003996424010417248518106670e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.491 y[1] (analytic) = 0.80017343118100586373535430919074 y[1] (numeric) = 0.80017343118100586362602693475646 absolute error = 1.0932737443428e-19 relative error = 1.3662959825211847299708810299054e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.492 y[1] (analytic) = 0.7994057461443258875107612577078 y[1] (numeric) = 0.7994057461443258874013949240979 absolute error = 1.0936633360990e-19 relative error = 1.3680954150929363159935413372455e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1701.4MB, alloc=4.6MB, time=179.13 NO POLE x[1] = 1.493 y[1] (analytic) = 0.79863779920560986239688345457304 y[1] (numeric) = 0.79863779920560986228747816548901 absolute error = 1.0940528908403e-19 relative error = 1.3698987099390161906821676996562e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.494 y[1] (analytic) = 0.79786959053691508989479517834193 y[1] (numeric) = 0.79786959053691508978535093748496 absolute error = 1.0944424085697e-19 relative error = 1.3717058796954655387907314779211e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.495 y[1] (analytic) = 0.79710112031025637598573278683577 y[1] (numeric) = 0.79710112031025637587624959790688 absolute error = 1.0948318892889e-19 relative error = 1.3735169370515470016594170147410e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.496 y[1] (analytic) = 0.79633238869760603788671588406129 y[1] (numeric) = 0.79633238869760603777719375076091 absolute error = 1.0952213330038e-19 relative error = 1.3753318947569418288175666862641e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.497 y[1] (analytic) = 0.79556339587089391080536725473011 y[1] (numeric) = 0.79556339587089391069580618075855 absolute error = 1.0956107397156e-19 relative error = 1.3771507656108886004848520672571e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.6MB, time=179.52 NO POLE x[1] = 1.498 y[1] (analytic) = 0.7947941420020073546939316425087 y[1] (numeric) = 0.79479414200200735458433163156611 absolute error = 1.0960001094259e-19 relative error = 1.3789735624688737463625775782701e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.499 y[1] (analytic) = 0.79402462726279126100249344811889 y[1] (numeric) = 0.79402462726279126089285450390494 absolute error = 1.0963894421395e-19 relative error = 1.3808002982464645248732222820723e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.5 y[1] (analytic) = 0.7932548518250480594313934234041 y[1] (numeric) = 0.79325485182504805932171554961807 absolute error = 1.0967787378603e-19 relative error = 1.3826309859144662049618596070292e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.501 y[1] (analytic) = 0.7924848158605377246828444374718 y[1] (numeric) = 0.79248481586053772457312763781293 absolute error = 1.0971679965887e-19 relative error = 1.3844656384959440384319778718013e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.502 y[1] (analytic) = 0.79171451954097778321174639101661 y[1] (numeric) = 0.79171451954097778310199066918362 absolute error = 1.0975572183299e-19 relative error = 1.3863042690769956558769973851585e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.503 y[1] (analytic) = 0.79094396303804331997570035491879 y[1] (numeric) = 0.79094396303804331986590571461036 absolute error = 1.0979464030843e-19 relative error = 1.3881468907949554495306438443790e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=179.92 NO POLE x[1] = 1.504 y[1] (analytic) = 0.7901731465233669851842220092132 y[1] (numeric) = 0.79017314652336698507438845412753 absolute error = 1.0983355508567e-19 relative error = 1.3899935168503224275106315197004e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.505 y[1] (analytic) = 0.78940207016853900104715445851077 y[1] (numeric) = 0.78940207016853900093728199234575 absolute error = 1.0987246616502e-19 relative error = 1.3918441604993764148301761866444e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.506 y[1] (analytic) = 0.78863073414510716852228049995404 y[1] (numeric) = 0.78863073414510716841236912640734 absolute error = 1.0991137354670e-19 relative error = 1.3936988350555005231032442515889e-17 % Correct digits = 18 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 1.507 y[1] (analytic) = 0.78785913862457687406213441977958 y[1] (numeric) = 0.78785913862457687395218414254866 absolute error = 1.0995027723092e-19 relative error = 1.3955575538905116125178020844545e-17 % Correct digits = 18 h = 0.001 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = cos(sqrt(2.0*x + 3.0)); Iterations = 2507 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 2 Minutes 59 Seconds Expected Time Remaining = 4 Minutes 10 Seconds Optimized Time Remaining = 4 Minutes 10 Seconds Expected Total Time = 7 Minutes 10 Seconds Time to Timeout Unknown Percent Done = 41.8 % > quit memory used=1711.5MB, alloc=4.6MB, time=180.16