|\^/| 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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr <> 0.0) 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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc, 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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float 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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D1[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; > omniout_str(ALWAYS,"WARNING: arccos of linear function has low precision in testing."); > #emit pre acos ID_LINEAR iii = 1 $eq_no = 1 > #emit pre acos 1 $eq_no = 1 > array_tmp3[1] := arccos(array_tmp2[1]); > array_tmp3_a1[1] := sin(array_tmp3[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h; > 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_0D1[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre acos ID_LINEAR iii = 2 $eq_no = 1 > #emit pre acos 1 $eq_no = 1 > array_tmp3[2] := - array_tmp2[2] / array_tmp3_a1[1]; > array_tmp3_a1[2] := array_tmp2[1] * array_tmp3[2]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h; > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre acos ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := att(2,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1]; > array_tmp3_a1[3] := array_tmp3[3] * array_tmp2[1] + array_tmp3[2] * array_tmp2[2] * 1 / 2; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp4[3] := array_tmp3[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre acos ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := att(3,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1]; > array_tmp3_a1[4] := array_tmp3[4] * array_tmp2[1] + array_tmp3[3] * array_tmp2[2] * 2 / 3; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp4[4] := array_tmp3[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre acos ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := att(4,array_tmp3_a1,array_tmp3,2) / array_tmp3_a1[1]; > array_tmp3_a1[5] := array_tmp3[5] * array_tmp2[1] + array_tmp3[4] * array_tmp2[2] * 3 / 4; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp4[5] := array_tmp3[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (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 acos ID_LINEAR $eq_no = 1 > array_tmp3[kkk] := att(kkk-1,array_tmp3_a1,array_tmp3,2)/array_tmp3_a1[1]; > array_tmp3_a1[kkk] := array_tmp3[kkk] * array_tmp2[1] + array_tmp3[kkk-1] * array_tmp2[2] * (kkk - 2) / (kkk - 1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp4[kkk] := array_tmp3[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) / factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D1[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; omniout_str(ALWAYS, "WARNING: arccos of linear function has low precision in testing.") ; array_tmp3[1] := arccos(array_tmp2[1]); array_tmp3_a1[1] := sin(array_tmp3[1]); array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D1[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := -array_tmp2[2]/array_tmp3_a1[1]; array_tmp3_a1[2] := array_tmp2[1]*array_tmp3[2]; array_tmp4[2] := array_tmp3[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3[3] := att(2, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]; array_tmp3_a1[3] := array_tmp3[3]*array_tmp2[1] + 1/2*array_tmp3[2]*array_tmp2[2]; array_tmp4[3] := array_tmp3[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := att(3, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]; array_tmp3_a1[4] := array_tmp3[4]*array_tmp2[1] + 2/3*array_tmp3[3]*array_tmp2[2]; array_tmp4[4] := array_tmp3[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := att(4, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]; array_tmp3_a1[5] := array_tmp3[5]*array_tmp2[1] + 3/4*array_tmp3[4]*array_tmp2[2]; array_tmp4[5] := array_tmp3[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*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] := att(kkk - 1, array_tmp3_a1, array_tmp3, 2)/array_tmp3_a1[1]; array_tmp3_a1[kkk] := array_tmp3[kkk]*array_tmp2[1] + array_tmp3[kkk - 1]*array_tmp2[2]*(kkk - 2)/(kkk - 1); array_tmp4[kkk] := array_tmp3[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp4[kkk]*expt(glob_h, order_d)/ factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 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(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 - > expt((0.1 * x + 0.2) , 2 ))); > end; exact_soln_y := proc(x) return 10.0*(0.1*x + 0.2)*arccos(0.1*x + 0.2) - 10.0*sqrt(1.0 - expt(0.1*x + 0.2, 2)) 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_0D1, > array_const_0D2, > #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_a1, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_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/lin_arccospostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := -0.8;"); > omniout_str(ALWAYS,"x_end := 0.8 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.00001 ;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 100;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"#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(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 -"); > omniout_str(ALWAYS,"expt((0.1 * x + 0.2) , 2 )));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > max_terms:=30; > Digits:=32; > #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_a1:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_0D1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D1[1] := 0.1; > array_const_0D2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D2[1] := 0.2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := -0.8; > x_end := 0.8 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.00001 ; > glob_look_poles := true; > glob_max_iter := 100; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > #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 ) = arccos(0.1 * x + 0.2) ;"); > 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,"2012-12-14T22:52:49-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"lin_arccos") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;") > ; > 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,"lin_arccos diffeq.mxt") > ; > logitem_str(html_log_file,"lin_arccos 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_0D1, array_const_0D2, 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_a1, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_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/lin_arccospostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := -0.8;"); omniout_str(ALWAYS, "x_end := 0.8 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.00001 ;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 100;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "#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(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x \ + 0.2 ) - 10.0 * sqrt(1.0 -"); omniout_str(ALWAYS, "expt((0.1 * x + 0.2) , 2 )));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; max_terms := 30; Digits := 32; 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_a1 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a1[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_0D1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D1[term] := 0.; term := term + 1 end do; array_const_0D1[1] := 0.1; array_const_0D2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D2[term] := 0.; term := term + 1 end do; array_const_0D2[1] := 0.2; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := -0.8; x_end := 0.8; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.00001; glob_look_poles := true; glob_max_iter := 100; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_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 ) = arccos(0.1 * x + 0.2) ;"); 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, "2012-12-14T22:52:49-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "lin_arccos"); logitem_str(html_log_file, "diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ;"); 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, "lin_arccos diffeq.mxt"); logitem_str(html_log_file, "lin_arccos 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/lin_arccospostode.ode################# diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; ! #BEGIN FIRST INPUT BLOCK max_terms:=30; Digits:=32; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := -0.8; x_end := 0.8 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.00001 ; glob_look_poles := true; glob_max_iter := 100; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 WARNING: arccos of linear function has low precision in testing. glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 1.6 estimated_steps = 1600 step_error = 6.2500000000000000000000000000000e-14 est_needed_step_err = 6.2500000000000000000000000000000e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.9870338152466896193177827327964e-104 max_value3 = 1.9870338152466896193177827327964e-104 value3 = 1.9870338152466896193177827327964e-104 best_h = 0.001 START of Soultion x[1] = -0.8 y[1] (analytic) = -8.1871311835125550194134248888549 y[1] (numeric) = -8.1871311835125550194134248888549 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.891 Order of pole = 0.3249 x[1] = -0.799 y[1] (analytic) = -8.1856807274322946059902226240723 y[1] (numeric) = -8.1856807274318857226481510130038 absolute error = 4.088833420716110685e-13 relative error = 4.9951049361275375246817795925473e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.891 Order of pole = 0.3249 x[1] = -0.798 y[1] (analytic) = -8.1842303720811317125900473651934 y[1] (numeric) = -8.1842303720803135902867687079317 absolute error = 8.181223032786572617e-13 relative error = 9.9963254464282701116179925475545e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.891 Order of pole = 0.3248 x[1] = -0.797 y[1] (analytic) = -8.1827801174602943340696446104243 y[1] (numeric) = -8.1827801174590666171477465797938 absolute error = 1.2277169218980306305e-12 relative error = 1.5003665065841700293352072239924e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.891 Order of pole = 0.3248 x[1] = -0.796 y[1] (analytic) = -8.1813299635710115323061164019284 y[1] (numeric) = -8.1813299635693738650698740327553 absolute error = 1.6376672362423691731e-12 relative error = 2.0017127331795761573771970707265e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3248 memory used=3.8MB, alloc=2.9MB, time=0.33 x[1] = -0.795 y[1] (analytic) = -8.1798799104145134363119045245663 y[1] (numeric) = -8.1798799104124654630272444575864 absolute error = 2.0479732846600669799e-12 relative error = 2.5036715784208700307963708499099e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3248 x[1] = -0.794 y[1] (analytic) = -8.1784299579920312423498809866679 y[1] (numeric) = -8.1784299579895726072443457022806 absolute error = 2.4586351055352843873e-12 relative error = 3.0062433965490959209929532998960e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3248 x[1] = -0.793 y[1] (analytic) = -8.1769801063047972140485458133163 y[1] (numeric) = -8.1769801063019275613112578551731 absolute error = 2.8696527372879581432e-12 relative error = 3.5094285420547062523915202045660e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3248 x[1] = -0.792 y[1] (analytic) = -8.1755303553540446825173321826513 y[1] (numeric) = -8.1755303553507636562989583710697 absolute error = 3.2810262183738115816e-12 relative error = 4.0132273696777502829090251459265e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3248 x[1] = -0.791 y[1] (analytic) = -8.1740807051410080464620189357358 y[1] (numeric) = -8.1740807051373152908747345709258 absolute error = 3.6927555872843648100e-12 relative error = 4.5176402344080629524354447566338e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3248 x[1] = -0.79 y[1] (analytic) = -8.1726311556669227723002504905512 y[1] (numeric) = -8.1726311556628179314177035456475 absolute error = 4.1048408825469449037e-12 relative error = 5.0226674914854538922644155857905e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3247 x[1] = -0.789 y[1] (analytic) = -8.1711817069330253942771641907329 y[1] (numeric) = -8.1711817069285081121344394946182 absolute error = 4.5172821427246961147e-12 relative error = 5.5283094963998966050450102988847e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.89 Order of pole = 0.3247 x[1] = -0.788 y[1] (analytic) = -8.1697323589405535145811251196721 y[1] (numeric) = -8.1697323589356234351747085295852 absolute error = 4.9300794064165900869e-12 relative error = 6.0345666048917178052548397801913e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.787 y[1] (analytic) = -8.1682831116907458034595684106577 y[1] (numeric) = -8.1682831116854025707473109745722 absolute error = 5.3432327122574360855e-12 relative error = 6.5414391729517869300132199167375e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.786 y[1] (analytic) = -8.1668339651848419993349490837493 y[1] (numeric) = -8.1668339651790852572360311925152 absolute error = 5.7567420989178912341e-12 relative error = 7.0489275568217058124347282459375e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.785 y[1] (analytic) = -8.1653849194240829089207994401145 y[1] (numeric) = -8.1653849194179123013156949693507 absolute error = 6.1706076051044707638e-12 relative error = 7.5570321129939985229389048941750e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=7.6MB, alloc=3.9MB, time=0.71 Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.784 y[1] (analytic) = -8.1639359744097104073378940445889 y[1] (numeric) = -8.1639359744031255780683344863162 absolute error = 6.5848292695595582727e-12 relative error = 8.0657531982123013767125749337412e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.783 y[1] (analytic) = -8.1624871301429674382305223272498 y[1] (numeric) = -8.1624871301359680310994609112553 absolute error = 6.9994071310614159945e-12 relative error = 8.5750911694715531058861808295194e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.782 y[1] (analytic) = -8.1610383866250980138828688348294 y[1] (numeric) = -8.1610383866176836726544446397498 absolute error = 7.4143412284241950796e-12 relative error = 9.0850463840181852007424797768523e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.781 y[1] (analytic) = -8.1595897438573472153355011628202 y[1] (numeric) = -8.1595897438495175837350032169347 absolute error = 7.8296316004979458855e-12 relative error = 9.5956191993503124161933907712197e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.889 Order of pole = 0.3247 x[1] = -0.78 y[1] (analytic) = -8.158141201840961192501965599159 y[1] (numeric) = -8.1581412018327159142157969708809 absolute error = 8.2452782861686282781e-12 relative error = 1.0106809973217923445639059624754e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.779 y[1] (analytic) = -8.1566927605771871642854905104076 y[1] (numeric) = -8.1566927605685258829611323884651 absolute error = 8.6612813243581219425e-12 relative error = 1.0618619063623071760648190538098e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.778 y[1] (analytic) = -8.155244420067273418695797501381 y[1] (numeric) = -8.1552444200581957779417732646745 absolute error = 9.0776407540242367065e-12 relative error = 1.1131046828820066620536954874027e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.777 y[1] (analytic) = -8.1537961803124693129660203792009 y[1] (numeric) = -8.1537961803029749563518596563285 absolute error = 9.4943566141607228724e-12 relative error = 1.1644093627315664246608707632023e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.776 y[1] (analytic) = -8.1523480413140252736697319527898 y[1] (numeric) = -8.1523480413041138447259346712293 absolute error = 9.9114289437972815605e-12 relative error = 1.2157759817869259165377031207139e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.775 y[1] (analytic) = -8.1509000030731927968380786988482 y[1] (numeric) = -8.1509000030628639390560791237854 absolute error = 1.03288577819995750628e-11 relative error = 1.2672045759493075719089101751506e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 memory used=11.4MB, alloc=4.1MB, time=1.10 x[1] = -0.774 y[1] (analytic) = -8.1494520655912244480770233253919 y[1] (numeric) = -8.1494520655804778049091540881842 absolute error = 1.07466431678692372077e-11 relative error = 1.3186951811452359744686193899510e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.773 y[1] (analytic) = -8.1480042288693738626846952639544 y[1] (numeric) = -8.1480042288582090775441513802203 absolute error = 1.11647851405438837341e-11 relative error = 1.3702478333265570419394186641509e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.888 Order of pole = 0.3246 x[1] = -0.772 y[1] (analytic) = -8.1465564929088957457688491215967 y[1] (numeric) = -8.1465564928973124620296519989192 absolute error = 1.15832837391971226775e-11 relative error = 1.4218625684704572276289853635503e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3246 x[1] = -0.771 y[1] (analytic) = -8.1451088577110458723644311238925 y[1] (numeric) = -8.1451088576990437333613925591264 absolute error = 1.20021390030385647661e-11 relative error = 1.4735394225794827387545855090151e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3246 x[1] = -0.77 y[1] (analytic) = -8.1436613232770810875512535800912 y[1] (numeric) = -8.1436613232646597365799397462648 absolute error = 1.24213509713138338264e-11 relative error = 1.5252784316815587714895941850357e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3245 x[1] = -0.769 y[1] (analytic) = -8.1422138896082593065717774016949 y[1] (numeric) = -8.1422138895954183868884728244937 absolute error = 1.28409196833045772012e-11 relative error = 1.5770796318300087631036936108701e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3245 x[1] = -0.768 y[1] (analytic) = -8.140766556705839514949002705713 y[1] (numeric) = -8.1407665566925786697706742295361 absolute error = 1.32608451783284761769e-11 relative error = 1.6289430591035736608318963471618e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3245 x[1] = -0.767 y[1] (analytic) = -8.1393193245710817686044675338923 y[1] (numeric) = -8.1393193245574006411087282774706 absolute error = 1.36811274957392564217e-11 relative error = 1.6808687496064312076844596070149e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3245 x[1] = -0.766 y[1] (analytic) = -8.1378721932052471939763547192526 y[1] (numeric) = -8.137872193191145427301428020818 absolute error = 1.41017666749266984346e-11 relative error = 1.7328567394682152452011522581102e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.887 Order of pole = 0.3245 x[1] = -0.765 y[1] (analytic) = -8.1364251626095979881377069312883 y[1] (numeric) = -8.1364251625950752253823902832831 absolute error = 1.45227627553166480052e-11 relative error = 1.7849070648440350331656251071711e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3245 x[1] = -0.764 y[1] (analytic) = -8.1349782327853974189147499312274 y[1] (numeric) = -8.1349782327704533031383789045446 absolute error = 1.49441157763710266828e-11 relative error = 1.8370197619144945861112621984480e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3245 memory used=15.2MB, alloc=4.2MB, time=1.50 x[1] = -0.763 y[1] (analytic) = -8.1335314037339098250053240687753 y[1] (numeric) = -8.1335314037185439992277362265176 absolute error = 1.53658257775878422577e-11 relative error = 1.8891948668857120269906149875929e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3245 x[1] = -0.762 y[1] (analytic) = -8.1320846754564006160974240517978 y[1] (numeric) = -8.1320846754406127232989228525452 absolute error = 1.57878927985011992526e-11 relative error = 1.9414324159893389577661960631252e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3245 x[1] = -0.761 y[1] (analytic) = -8.1306380479541362729878470204307 y[1] (numeric) = -8.1306380479379259561091657110069 absolute error = 1.62103168786813094238e-11 relative error = 1.9937324454825798469014427359527e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3245 x[1] = -0.76 y[1] (analytic) = -8.1291915212283843477009489571382 y[1] (numeric) = -8.1291915212117512496432144548644 absolute error = 1.66330980577345022738e-11 relative error = 2.0460949916482114339643499004893e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3244 x[1] = -0.759 y[1] (analytic) = -8.1277450952804134636075094642716 y[1] (numeric) = -8.1277450952633572272322062286963 absolute error = 1.70562363753032355753e-11 relative error = 2.0985200907946021513597112106415e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3244 x[1] = -0.758 y[1] (analytic) = -8.1262987701114933155437049407093 y[1] (numeric) = -8.1262987700940135836726388348056 absolute error = 1.74797318710661059037e-11 relative error = 2.1510077792557315628490578741326e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.886 Order of pole = 0.3244 x[1] = -0.757 y[1] (analytic) = -8.1248525457228946699301901891977 y[1] (numeric) = -8.1248525457049910853454523300157 absolute error = 1.79035845847378591820e-11 relative error = 2.2035580933912098193538307679317e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.756 y[1] (analytic) = -8.1234064221158893648912884860384 y[1] (numeric) = -8.1234064220975615703352190848023 absolute error = 1.83277945560694012361e-11 relative error = 2.2561710695862971318117247076997e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.755 y[1] (analytic) = -8.1219603992917503103742901448008 y[1] (numeric) = -8.121960399272997948549442336441 absolute error = 1.87523618248478083598e-11 relative error = 2.3088467442519232610158694382811e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.754 y[1] (analytic) = -8.1205144772517514882688596057734 y[1] (numeric) = -8.1205144772325742018379632678818 absolute error = 1.91772864308963378916e-11 relative error = 2.3615851538247070247112110729271e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.753 y[1] (analytic) = -8.1190686559971679525265510828952 y[1] (numeric) = -8.1190686559775653841124766440938 absolute error = 1.96025684140744388014e-11 relative error = 2.4143863347669758217301748612339e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 memory used=19.0MB, alloc=4.3MB, time=1.91 x[1] = -0.752 y[1] (analytic) = -8.1176229355292758292804327999439 y[1] (numeric) = -8.1176229355092476214661550376559 absolute error = 2.00282078142777622880e-11 relative error = 2.4672503235667851732943017787681e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.751 y[1] (analytic) = -8.1161773158493523169648198477885 y[1] (numeric) = -8.1161773158288981122933816754004 absolute error = 2.04542046714381723881e-11 relative error = 2.5201771567379382815840834269289e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.75 y[1] (analytic) = -8.1147317969586756864351156945438 y[1] (numeric) = -8.1147317969377951274095919379496 absolute error = 2.08805590255237565942e-11 relative error = 2.5731668708200056052726911904542e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.885 Order of pole = 0.3244 x[1] = -0.749 y[1] (analytic) = -8.1132863788585252810877623805011 y[1] (numeric) = -8.113286378837218010171223544016 absolute error = 2.13072709165388364851e-11 relative error = 2.6262195023783444524953595056446e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3244 x[1] = -0.748 y[1] (analytic) = -8.1118410615501815169802994297357 y[1] (numeric) = -8.1118410615284471765957754513699 absolute error = 2.17343403845239783658e-11 relative error = 2.6793350880041185908762407839522e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 x[1] = -0.747 y[1] (analytic) = -8.110395845034925882951531510329 y[1] (numeric) = -8.1103958450127641154819755064106 absolute error = 2.21617674695560039184e-11 relative error = 2.7325136643143178748258368971131e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 x[1] = -0.746 y[1] (analytic) = -8.1089507293140409407418048751717 y[1] (numeric) = -8.1089507292914513885300568743074 absolute error = 2.25895522117480008643e-11 relative error = 2.7857552679517778901620928763570e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 x[1] = -0.745 y[1] (analytic) = -8.1075057143888103251133926153483 y[1] (numeric) = -8.1075057143657926304621432817119 absolute error = 2.30176946512493336364e-11 relative error = 2.8390599355851996159109596948131e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 x[1] = -0.744 y[1] (analytic) = -8.1060608002605187439709887581334 y[1] (numeric) = -8.1060608002370725491427431040717 absolute error = 2.34461948282456540617e-11 relative error = 2.8924277039091691033517405019724e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 x[1] = -0.743 y[1] (analytic) = -8.1046159869304519784823112416672 y[1] (numeric) = -8.1046159869065769256993523296108 absolute error = 2.38750527829589120564e-11 relative error = 2.9458586096441771725823783836209e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 x[1] = -0.742 y[1] (analytic) = -8.103171274399896883198813798401 y[1] (numeric) = -8.1031712743755926146431664320723 absolute error = 2.43042685556473663287e-11 relative error = 2.9993526895366391260287112374140e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.884 Order of pole = 0.3243 memory used=22.8MB, alloc=4.3MB, time=2.32 x[1] = -0.741 y[1] (analytic) = -8.1017266626701413861765067794471 y[1] (numeric) = -8.1017266626454075439899011843512 absolute error = 2.47338421866055950959e-11 relative error = 3.0529099803589144797279986245634e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3243 x[1] = -0.74 y[1] (analytic) = -8.100282151742474489096886951988 y[1] (numeric) = -8.1002821517173107153807224451791 absolute error = 2.51637737161645068089e-11 relative error = 3.1065305189093267115515950055789e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3243 x[1] = -0.739 y[1] (analytic) = -8.0988377416181862673879763019422 y[1] (numeric) = -8.098837741592592204203284951052 absolute error = 2.55940631846913508902e-11 relative error = 3.1602143420121830271356141535736e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3243 x[1] = -0.738 y[1] (analytic) = -8.0973934322985678703454698741072 y[1] (numeric) = -8.097393432272543159712880145627 absolute error = 2.60247106325897284802e-11 relative error = 3.2139614865177941428940094528341e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3243 x[1] = -0.737 y[1] (analytic) = -8.0959492237849115212539926820414 y[1] (numeric) = -8.0959492237584558051536930788448 absolute error = 2.64557161002996031966e-11 relative error = 3.2677719893024940867227810014927e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3243 x[1] = -0.736 y[1] (analytic) = -8.0945051160785105175084657199696 y[1] (numeric) = -8.0945051160516234378801684080674 absolute error = 2.68870796282973119022e-11 relative error = 3.3216458872686600158312471090303e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3243 x[1] = -0.735 y[1] (analytic) = -8.0930611091806592307355811090386 y[1] (numeric) = -8.0930611091533404294784855335525 absolute error = 2.73188012570955754861e-11 relative error = 3.3755832173447320523340636023613e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.883 Order of pole = 0.3242 x[1] = -0.734 y[1] (analytic) = -8.0916172030926531069153864102717 y[1] (numeric) = -8.0916172030649022258881429006189 absolute error = 2.77508810272435096528e-11 relative error = 3.4295840164852331359409332830800e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.733 y[1] (analytic) = -8.090173397815788666502978136613 y[1] (numeric) = -8.0901733977876053475236515008886 absolute error = 2.81833189793266357244e-11 relative error = 3.4836483216707888944025867206291e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.732 y[1] (analytic) = -8.0887296933513635045503044964766 y[1] (numeric) = -8.0887296933227473893963376050247 absolute error = 2.86161151539668914519e-11 relative error = 3.5377761699081475312351644671838e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.731 y[1] (analytic) = -8.0872860897006762908280774012551 y[1] (numeric) = -8.0872860896716270212362547594157 absolute error = 2.90492695918226418394e-11 relative error = 3.5919675982301997312089185190988e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 memory used=26.7MB, alloc=4.3MB, time=2.73 x[1] = -0.73 y[1] (analytic) = -8.0858425868650267699477937692659 y[1] (numeric) = -8.0858425868355439876142050792897 absolute error = 2.94827823335886899762e-11 relative error = 3.6462226436959985829995163628910e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.729 y[1] (analytic) = -8.0843991848457157614838661586555 y[1] (numeric) = -8.0843991848157991080638698707737 absolute error = 2.99166534199962878818e-11 relative error = 3.7005413433907795196363151101663e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.728 y[1] (analytic) = -8.082955883644045160095862761808 y[1] (numeric) = -8.0829558836136942772040496144465 absolute error = 3.03508828918131473615e-11 relative error = 3.7549237344259802764797379836345e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.727 y[1] (analytic) = -8.0815126832613179356508567938377 y[1] (numeric) = -8.0815126832305324648610133429652 absolute error = 3.07854707898434508725e-11 relative error = 3.8093698539392608667317222949661e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.882 Order of pole = 0.3242 x[1] = -0.726 y[1] (analytic) = -8.0800695836988381333458853077786 y[1] (numeric) = -8.0800695836676177161909574453788 absolute error = 3.12204171549278623998e-11 relative error = 3.8638797390945235744089503346495e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3242 x[1] = -0.725 y[1] (analytic) = -8.0786265849579108738305174691183 y[1] (numeric) = -8.0786265849262551518025739307735 absolute error = 3.16557220279435383448e-11 relative error = 3.9184534270819329651540878458436e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3242 x[1] = -0.724 y[1] (analytic) = -8.0771836870398423533295323223509 y[1] (numeric) = -8.0771836870077509678797281839276 absolute error = 3.20913854498041384233e-11 relative error = 3.9730909551179359144931901251328e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3242 x[1] = -0.723 y[1] (analytic) = -8.0757408899459398437657060822622 y[1] (numeric) = -8.0757408899134124363042462456868 absolute error = 3.25274074614598365754e-11 relative error = 4.0277923604452816538650693890248e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3242 x[1] = -0.722 y[1] (analytic) = -8.0742981936775116928827089826867 y[1] (numeric) = -8.0742981936445479047788116508018 absolute error = 3.29637881038973318849e-11 relative error = 4.0825576803330418341420122687160e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3242 x[1] = -0.721 y[1] (analytic) = -8.072855598235867324368111715515 y[1] (numeric) = -8.0728555982024667969499718560043 absolute error = 3.34005274181398595107e-11 relative error = 4.1373869520766306069678007743698e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3242 x[1] = -0.72 y[1] (analytic) = -8.071413103622317237976501492757 y[1] (numeric) = -8.0714131035884796125312542911284 absolute error = 3.38376254452472016286e-11 relative error = 4.1922802129978247237314839174413e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3241 x[1] = -0.719 memory used=30.5MB, alloc=4.3MB, time=3.15 y[1] (analytic) = -8.0699707098381730096527077645019 y[1] (numeric) = -8.069970709803897927426392066118 absolute error = 3.42750822263156983839e-11 relative error = 4.2472375004447836522429132342990e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.881 Order of pole = 0.3241 x[1] = -0.718 y[1] (analytic) = -8.0685284168847472916551376256489 y[1] (numeric) = -8.0685284168500343938526593667934 absolute error = 3.47128978024782588555e-11 relative error = 4.3022588517920697112133246998570e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.717 y[1] (analytic) = -8.0670862247633538126792209443114 y[1] (numeric) = -8.0670862247282027404643165722822 absolute error = 3.51510722149043720292e-11 relative error = 4.3573443044406682222725090674014e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.716 y[1] (analytic) = -8.065644133475307377980965244837 y[1] (numeric) = -8.0656441334397177724761651270529 absolute error = 3.55896055048001177841e-11 relative error = 4.4124938958180076800224144411046e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.715 y[1] (analytic) = -8.064202143021923869500620378409 y[1] (numeric) = -8.064202142985895371787212200521 absolute error = 3.60284977134081778880e-11 relative error = 4.4677076633779799396356946665465e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.714 y[1] (analytic) = -8.0627602534045202459864530142376 y[1] (numeric) = -8.0627602533680524971044451672326 absolute error = 3.64677488820078470050e-11 relative error = 4.5229856446009604224124042970251e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.713 y[1] (analytic) = -8.0613184646244145431186309843726 y[1] (numeric) = -8.0613184645875071840667159406594 absolute error = 3.69073590519150437132e-11 relative error = 4.5783278769938283390511647848754e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.712 y[1] (analytic) = -8.0598767766829258736332175152087 y[1] (numeric) = -8.0598767766455785453687351936758 absolute error = 3.73473282644823215329e-11 relative error = 4.6337343980899869307009495105334e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.88 Order of pole = 0.3241 x[1] = -0.711 y[1] (analytic) = -8.0584351895813744274462753787852 y[1] (numeric) = -8.0584351895435867708851764988175 absolute error = 3.77876565610988799677e-11 relative error = 4.6892052454493837281079103719343e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.71 y[1] (analytic) = -8.0569937033210814717780809970113 y[1] (numeric) = -8.0569937032828531277948904214573 absolute error = 3.82283439831905755540e-11 relative error = 4.7447404566585308283157131309314e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.709 y[1] (analytic) = -8.0555523179033693512774485319868 y[1] (numeric) = -8.0555523178646999607052285990639 absolute error = 3.86693905722199329229e-11 relative error = 4.8003400693305251894322395411066e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.708 y[1] (analytic) = -8.0541110333295614881461639956159 y[1] (numeric) = -8.0541110332904506917764778397434 absolute error = 3.91107963696861558725e-11 relative error = 4.8560041211050689432312806693409e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=34.3MB, alloc=4.4MB, time=3.58 Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.707 y[1] (analytic) = -8.0526698496009823822635294117474 y[1] (numeric) = -8.0526698495614298208464042732957 absolute error = 3.95525614171251384517e-11 relative error = 4.9117326496484897257424732111476e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.706 y[1] (analytic) = -8.0512287667189576113110170641053 y[1] (numeric) = -8.0512287666789629255549075880512 absolute error = 3.99946857561094760541e-11 relative error = 4.9675256926537610256724316838299e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.705 y[1] (analytic) = -8.0497877846848138308970338633085 y[1] (numeric) = -8.0497877846443766614687853867852 absolute error = 4.04371694282484765233e-11 relative error = 5.0233832878405225508352102422568e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.704 y[1] (analytic) = -8.0483469034998787746817958663099 y[1] (numeric) = -8.0483469034589987622066076950409 absolute error = 4.08800124751881712690e-11 relative error = 5.0793054729551006125344029139661e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.879 Order of pole = 0.3241 x[1] = -0.703 y[1] (analytic) = -8.0469061231654812545023129816191 y[1] (numeric) = -8.0469061231241580395637016552242 absolute error = 4.13232149386113263949e-11 relative error = 5.1352922857705285280379357798787e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.3241 x[1] = -0.702 y[1] (analytic) = -8.0454654436829511604974838937025 y[1] (numeric) = -8.0454654436411843836372464398672 absolute error = 4.17667768602374538353e-11 relative error = 5.1913437640865670407771960633077e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.701 y[1] (analytic) = -8.0440248650536194612333012399945 y[1] (numeric) = -8.0440248650114087629514784174887 absolute error = 4.22106982818228225058e-11 relative error = 5.2474599457297247589582934481128e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.7 y[1] (analytic) = -8.0425843872788182038281670739766 y[1] (numeric) = -8.0425843872361632245830066045148 absolute error = 4.26549792451604694618e-11 relative error = 5.3036408685532786118194714701178e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.699 y[1] (analytic) = -8.0411440103598805140783186478242 y[1] (numeric) = -8.0411440103167808942862384367537 absolute error = 4.30996197920802110705e-11 relative error = 5.3598865704372943242599071727268e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.698 y[1] (analytic) = -8.0397037342981405965833645481458 y[1] (numeric) = -8.0397037342545959766189158939528 absolute error = 4.35446199644486541930e-11 relative error = 5.4161970892886469094342873986712e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.697 y[1] (analytic) = -8.0382635590949337348719312183754 y[1] (numeric) = -8.0382635590509437550677620109995 absolute error = 4.39899798041692073759e-11 relative error = 5.4725724630410411792552957008931e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=38.1MB, alloc=4.4MB, time=3.99 Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.696 y[1] (analytic) = -8.0368234847515962915274199014154 y[1] (numeric) = -8.036823484707160592174237809359 absolute error = 4.44356993531820920564e-11 relative error = 5.5290127296550322733184195295796e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.878 Order of pole = 0.324 x[1] = -0.695 y[1] (analytic) = -8.0353835112694657083138740361525 y[1] (numeric) = -8.0353835112245839296604096823753 absolute error = 4.48817786534643537772e-11 relative error = 5.5855179271180462058059563628697e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.694 y[1] (analytic) = -8.0339436386498805063019571415082 y[1] (numeric) = -8.0339436386045522885549272680965 absolute error = 4.53282177470298734117e-11 relative error = 5.6420880934444004304492369868626e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.693 y[1] (analytic) = -8.0325038668941802859950412217177 y[1] (numeric) = -8.032503866848405269319111843316 absolute error = 4.57750166759293784017e-11 relative error = 5.6987232666753244238398307224319e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.692 y[1] (analytic) = -8.0310641960037057274554057265604 y[1] (numeric) = -8.031064195957483551973155272556 absolute error = 4.62221754822504540044e-11 relative error = 5.7554234848789802867085184307279e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.691 y[1] (analytic) = -8.0296246259797985904305471003041 y[1] (numeric) = -8.0296246259331288962224295457517 absolute error = 4.66696942081175545524e-11 relative error = 5.8121887861504833636495832884816e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.69 y[1] (analytic) = -8.028185156823801714479598953152 y[1] (numeric) = -8.0281851567766841415839069384285 absolute error = 4.71175728956920147235e-11 relative error = 5.8690192086119228809091755458501e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.689 y[1] (analytic) = -8.0267457885370590190998628890171 y[1] (numeric) = -8.0267457884894932075126908281969 absolute error = 4.75658115871720608202e-11 relative error = 5.9259147904123826022421623779407e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.877 Order of pole = 0.324 x[1] = -0.688 y[1] (analytic) = -8.0253065211209155038534500234878 y[1] (numeric) = -8.0253065210729010935286572014234 absolute error = 4.80144103247928220644e-11 relative error = 5.9828755697279615035396660665599e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.687 y[1] (analytic) = -8.0238673545767172484940332258664 y[1] (numeric) = -8.0238673545282538793432068839683 absolute error = 4.84633691508263418981e-11 relative error = 6.0399015847617944650984601878192e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.686 y[1] (analytic) = -8.0224282889058114130937101192134 y[1] (numeric) = -8.0224282888568987249861285299149 absolute error = 4.89126881075815892985e-11 relative error = 6.0969928737440729825956159076380e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=41.9MB, alloc=4.4MB, time=4.41 Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.685 y[1] (analytic) = -8.0209893241095462381699768723511 y[1] (numeric) = -8.0209893240601838709325724022478 absolute error = 4.93623672374044701033e-11 relative error = 6.1541494749320658962624314042493e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.684 y[1] (analytic) = -8.0195504601892710448128128178174 y[1] (numeric) = -8.0195504601394586382301349794702 absolute error = 4.98124065826778383472e-11 relative error = 6.2113714266101401383993594926823e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.683 y[1] (analytic) = -8.0181116971463362348118759297934 y[1] (numeric) = -8.0181116970960734286260544221852 absolute error = 5.02628061858215076082e-11 relative error = 6.2686587670897814990745226918799e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.682 y[1] (analytic) = -8.0166730349820932907838091960641 y[1] (numeric) = -8.0166730349313797246945169336972 absolute error = 5.07135660892922623669e-11 relative error = 6.3260115347096154104219761286613e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.681 y[1] (analytic) = -8.0152344736978947762996579180995 y[1] (numeric) = -8.0152344736467300899640740487238 absolute error = 5.11646863355838693757e-11 relative error = 6.3834297678354277491704660792104e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.876 Order of pole = 0.324 x[1] = -0.68 y[1] (analytic) = -8.0137960132950943360123979733814 y[1] (numeric) = -8.0137960132434781690451708843424 absolute error = 5.16161669672270890390e-11 relative error = 6.4409135048601856575569908340717e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.679 y[1] (analytic) = -8.0123576537750466957845750741329 y[1] (numeric) = -8.0123576537229786877577853873272 absolute error = 5.20680080267896868057e-11 relative error = 6.4984627842040583828046466792130e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.678 y[1] (analytic) = -8.010919395139107662816055056639 y[1] (numeric) = -8.010919395086587453259178612068 absolute error = 5.25202095568764445710e-11 relative error = 6.5560776443144381348077252255092e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.677 y[1] (analytic) = -8.0094812373886341257718852353837 y[1] (numeric) = -8.0094812373356613541717560632929 absolute error = 5.29727716001291720908e-11 relative error = 6.6137581236659609624530761882870e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.676 y[1] (analytic) = -8.0080431805249840549102668562586 y[1] (numeric) = -8.0080431804715583607110401378521 absolute error = 5.34256941992267184065e-11 relative error = 6.6715042607605276483205496229664e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.675 y[1] (analytic) = -8.0066052245495165022106386831342 y[1] (numeric) = -8.0066052244956375248137536998533 absolute error = 5.38789773968849832809e-11 relative error = 6.7293160941273246218671559609184e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=45.7MB, alloc=4.4MB, time=4.82 Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.674 y[1] (analytic) = -8.0051673694635916015018717521174 y[1] (numeric) = -8.0051673694092589802660148234714 absolute error = 5.43326212358569286460e-11 relative error = 6.7871936623228448912122174747173e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.875 Order of pole = 0.324 x[1] = -0.673 y[1] (analytic) = -8.0037296152685705685905753278497 y[1] (numeric) = -8.0037296152137839428316427377893 absolute error = 5.47866257589325900604e-11 relative error = 6.8451370039309089932536268603888e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.672 y[1] (analytic) = -8.0022919619658157013895140962397 y[1] (numeric) = -8.0022919619105747103805750080604 absolute error = 5.52409910089390881793e-11 relative error = 6.9031461575626859625072439004584e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.671 y[1] (analytic) = -8.0008544095566903800461366280516 y[1] (numeric) = -8.0008544095009946630173959878161 absolute error = 5.56957170287406402355e-11 relative error = 6.9612211618567143184870790877755e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.67 y[1] (analytic) = -7.9994169580425590670712151478051 y[1] (numeric) = -7.999416957986408263209976576275 absolute error = 5.61508038612385715301e-11 relative error = 7.0193620554789230714811465500352e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.669 y[1] (analytic) = -7.9979796074247873074675966424811 y[1] (numeric) = -7.9979796073681810559182253155449 absolute error = 5.66062515493713269362e-11 relative error = 7.0775688771226527471527981587875e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.668 y[1] (analytic) = -7.9965423577047417288590653445534 y[1] (numeric) = -7.9965423576476796687229508621407 absolute error = 5.70620601361144824127e-11 relative error = 7.1358416655086764296226265953031e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.667 y[1] (analytic) = -7.9951052088837900416193166239057 y[1] (numeric) = -7.9951052088262718119548358673763 absolute error = 5.75182296644807565294e-11 relative error = 7.1941804593852208231983357410244e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.874 Order of pole = 0.3239 x[1] = -0.666 y[1] (analytic) = -7.9936681609633010390010423232248 y[1] (numeric) = -7.993668160905326278823522301221 absolute error = 5.79747601775200220038e-11 relative error = 7.2525852975279873328201312440546e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.665 y[1] (analytic) = -7.9922312139446445972651275714927 y[1] (numeric) = -7.9922312138862129455468082542446 absolute error = 5.84316517183193172481e-11 relative error = 7.3110562187401731630515433005351e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.664 y[1] (analytic) = -7.9907943678291916758099591102384 y[1] (numeric) = -7.9907943677703027714799562523101 absolute error = 5.88889043300028579283e-11 relative error = 7.3695932618524924358708314878836e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=49.5MB, alloc=4.4MB, time=5.24 Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.663 y[1] (analytic) = -7.989357622618314317300845167238 y[1] (numeric) = -7.989357622558967799245113118704 absolute error = 5.93465180557320485340e-11 relative error = 7.4281964657231973271054319973496e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.662 y[1] (analytic) = -7.9879209783133856477995469123907 y[1] (numeric) = -7.9879209782535811548608414184307 absolute error = 5.98044929387054939600e-11 relative error = 7.4868658692380992216646463160762e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.661 y[1] (analytic) = -7.9864844349157798768939215305263 y[1] (numeric) = -7.986484434855517047871762519429 absolute error = 6.02628290221590110973e-11 relative error = 7.5456015113105898872877462298702e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.66 y[1] (analytic) = -7.9850479924268722978276769459414 y[1] (numeric) = -7.9850479923661507714783113055029 absolute error = 6.07215263493656404385e-11 relative error = 7.6044034308816626674509878781186e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.659 y[1] (analytic) = -7.9836116508480392876302382334839 y[1] (numeric) = -7.983611650786858702666602575793 absolute error = 6.11805849636356576909e-11 relative error = 7.6632716669199336926124445378255e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.873 Order of pole = 0.3239 x[1] = -0.658 y[1] (analytic) = -7.9821754101806583072467257510515 y[1] (numeric) = -7.9821754101190183023384091656477 absolute error = 6.16400049083165854038e-11 relative error = 7.7222062584216631106260631162234e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.657 y[1] (analytic) = -7.9807392704261079016680450283926 y[1] (numeric) = -7.9807392703640081154412518237881 absolute error = 6.20997862267932046045e-11 relative error = 7.7812072444107763356539191010701e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.656 y[1] (analytic) = -7.9793032315857677000610884471405 y[1] (numeric) = -7.9793032315232077710986008806924 absolute error = 6.25599289624875664481e-11 relative error = 7.8402746639388853162331080739162e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.655 y[1] (analytic) = -7.9778672936610184158990487470376 y[1] (numeric) = -7.977867293597997982740189743162 absolute error = 6.30204331588590038756e-11 relative error = 7.8994085560853098218259741278083e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.654 y[1] (analytic) = -7.9764314566532418470918443933481 y[1] (numeric) = -7.9764314565897605482324402500619 absolute error = 6.34812988594041432862e-11 relative error = 7.9586089599570987486106120386969e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.653 y[1] (analytic) = -7.9749957205638208761166568404837 y[1] (numeric) = -7.9749957204998783500089999242652 absolute error = 6.39425261076569162185e-11 relative error = 8.0178759146890514438652736575654e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=53.4MB, alloc=4.4MB, time=5.67 Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.652 y[1] (analytic) = -7.9735600853941394701485797269072 y[1] (numeric) = -7.9735600853297353552013911558624 absolute error = 6.44041149471885710448e-11 relative error = 8.0772094594437390494908082981554e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.872 Order of pole = 0.3239 x[1] = -0.651 y[1] (analytic) = -7.9721245511455826811913800364066 y[1] (numeric) = -7.972124551080716615769772351732 absolute error = 6.48660654216076846746e-11 relative error = 8.1366096334115258642000032947704e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.65 y[1] (analytic) = -7.970689117819536646208371260873 y[1] (numeric) = -7.9706891177542082686338110866008 absolute error = 6.53283775745601742722e-11 relative error = 8.1960764758105907250060498823585e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.649 y[1] (analytic) = -7.9692537854173885872533985997413 y[1] (numeric) = -7.9692537853515975358036692907586 absolute error = 6.57910514497293089827e-11 relative error = 8.2556100258869484073131513607531e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.648 y[1] (analytic) = -7.9678185539405268116019362312938 y[1] (numeric) = -7.9678185538742727245111005096234 absolute error = 6.62540870908357216704e-11 relative error = 8.3152103229144710441286759506512e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.647 y[1] (analytic) = -7.9663834233903407118822966910583 y[1] (numeric) = -7.9663834233236232273406592703884 absolute error = 6.67174845416374206699e-11 relative error = 8.3748774061949095644525465081329e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.646 y[1] (analytic) = -7.9649483937682207662069523925616 y[1] (numeric) = -7.9649483937010395223610225910156 absolute error = 6.71812438459298015460e-11 relative error = 8.4346113150579151503723218281547e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.645 y[1] (analytic) = -7.9635134650755585383039693257418 y[1] (numeric) = -7.9635134650079131732564236668752 absolute error = 6.76453650475456588666e-11 relative error = 8.4944120888610607134088761727411e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.644 y[1] (analytic) = -7.9620786373137466776485529683488 y[1] (numeric) = -7.9620786372456368294581977703627 absolute error = 6.81098481903551979861e-11 relative error = 8.5542797669898623898168732501983e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.871 Order of pole = 0.3239 x[1] = -0.643 y[1] (analytic) = -7.9606439104841789195947064457022 y[1] (numeric) = -7.9606439104156042262764403988612 absolute error = 6.85746933182660468410e-11 relative error = 8.6142143888578010550713925123582e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 x[1] = -0.642 y[1] (analytic) = -7.9592092845882500855070009742049 y[1] (numeric) = -7.9592092845192101850317777064488 absolute error = 6.90399004752232677561e-11 relative error = 8.6742159939063438573577779267873e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 memory used=57.2MB, alloc=4.4MB, time=6.10 x[1] = -0.641 y[1] (analytic) = -7.9577747596273560828924586240475 y[1] (numeric) = -7.9577747595578506131872492547858 absolute error = 6.95054697052093692617e-11 relative error = 8.7342846216049657701328347545993e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 x[1] = -0.64 y[1] (analytic) = -7.956340335602893905532547436574 y[1] (numeric) = -7.9563403355329225044803031186507 absolute error = 6.99714010522443179233e-11 relative error = 8.7944203114511711639638453458787e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 x[1] = -0.639 y[1] (analytic) = -7.9549060125162616336152889318084 y[1] (numeric) = -7.9549060124458239390549033816269 absolute error = 7.04376945603855501815e-11 relative error = 8.8546231029705153973744728361358e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 x[1] = -0.638 y[1] (analytic) = -7.9534717903688584338674780416814 y[1] (numeric) = -7.9534717902979540835937500574774 absolute error = 7.09043502737279842040e-11 relative error = 8.9148930357166264269542946592490e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 x[1] = -0.637 y[1] (analytic) = -7.9520376691620845596870155045252 y[1] (numeric) = -7.952037669090713191450611472777 absolute error = 7.13713682364040317482e-11 relative error = 8.9752301492712264365615075436345e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.87 Order of pole = 0.3239 x[1] = -0.636 y[1] (analytic) = -7.9506036488973413512753527564447 y[1] (numeric) = -7.9506036488255026027827691464084 absolute error = 7.18387484925836100363e-11 relative error = 9.0356344832441534858757327890061e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.635 y[1] (analytic) = -7.9491697295760312357700493551999 y[1] (numeric) = -7.9491697295037247446835752015591 absolute error = 7.23064910864741536408e-11 relative error = 9.0961060772733831780550168493808e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.634 y[1] (analytic) = -7.9477359111995577273774429722751 y[1] (numeric) = -7.9477359111267831313151223458939 absolute error = 7.27745960623206263812e-11 relative error = 9.1566449710250503466156437062869e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.633 y[1] (analytic) = -7.9463021937693254275054319888416 y[1] (numeric) = -7.9463021936960823640410264556081 absolute error = 7.32430634644055332335e-11 relative error = 9.2172512041934707617542151417414e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.632 y[1] (analytic) = -7.9448685772867400248963707313536 y[1] (numeric) = -7.9448685772130281315593217991044 absolute error = 7.37118933370489322492e-11 relative error = 9.2779248165011628557150141406944e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.631 y[1] (analytic) = -7.9434350617532082957600773825549 y[1] (numeric) = -7.9434350616790272100354689360675 absolute error = 7.41810857246084464874e-11 relative error = 9.3386658476988694676737278812824e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.63 y[1] (analytic) = -7.9420016471701381039069546037032 y[1] (numeric) = -7.9420016470954874632354753277466 absolute error = 7.46506406714792759566e-11 relative error = 9.3994743375655796077278897251028e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=61.0MB, alloc=4.4MB, time=6.52 Complex estimate of poles used Radius of convergence = 9.869 Order of pole = 0.3239 x[1] = -0.629 y[1] (analytic) = -7.9405683335389384008812229038593 y[1] (numeric) = -7.9405683334638178426591286942894 absolute error = 7.51205582220942095699e-11 relative error = 9.4603503259085502404779431297860e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.628 y[1] (analytic) = -7.9391351208610192260942667921152 y[1] (numeric) = -7.9391351207854283876733431550054 absolute error = 7.55908384209236371098e-11 relative error = 9.5212938525633280877388346182529e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.627 y[1] (analytic) = -7.9377020091377917069580937486763 y[1] (numeric) = -7.9377020090617302256456181874709 absolute error = 7.60614813124755612054e-11 relative error = 9.5823049573937714507528457711895e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.626 y[1] (analytic) = -7.9362689983706680590189060507429 y[1] (numeric) = -7.9362689982941355720776104414222 absolute error = 7.65324869412956093207e-11 relative error = 9.6433836802920720517582867846100e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.625 y[1] (analytic) = -7.9348360885610615860907854891717 y[1] (numeric) = -7.9348360884840577307388184434174 absolute error = 7.70038553519670457543e-11 relative error = 9.7045300611787768949700990845449e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.624 y[1] (analytic) = -7.9334032797103866803894910119334 y[1] (numeric) = -7.9334032796329110938003802282821 absolute error = 7.74755865891107836513e-11 relative error = 9.7657441400028101470915126715525e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.623 y[1] (analytic) = -7.9319705718200588226663693304136 y[1] (numeric) = -7.9319705717421111419689839333887 absolute error = 7.79476806973853970249e-11 relative error = 9.8270259567414950370600307052802e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.868 Order of pole = 0.3239 x[1] = -0.622 y[1] (analytic) = -7.9305379648914945823423785246436 y[1] (numeric) = -7.930537964813074444620891391852 absolute error = 7.84201377214871327916e-11 relative error = 9.8883755514005757755375845461393e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.3239 x[1] = -0.621 y[1] (analytic) = -7.9291054589261116176422246835762 y[1] (numeric) = -7.9291054588472186599360747607603 absolute error = 7.88929577061499228159e-11 relative error = 9.9497929640142394936464908868603e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.3239 x[1] = -0.62 y[1] (analytic) = -7.9276730539253286757286116165623 y[1] (numeric) = -7.9276730538459625350324662205941 absolute error = 7.93661406961453959682e-11 relative error = 1.0011278234645138201436009895762e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.3239 x[1] = -0.619 y[1] (analytic) = -7.9262407498905655928366036722112 y[1] (numeric) = -7.9262407498107259061003207820183 absolute error = 7.98396867362828901929e-11 relative error = 1.0072831403384410765719703182992e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=64.8MB, alloc=4.4MB, time=6.95 Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.3239 x[1] = -0.618 y[1] (analytic) = -7.9248085468232432944081017008589 y[1] (numeric) = -7.9248085467429296985366922362708 absolute error = 8.03135958714094645881e-11 relative error = 1.0134452510351704907478481063952e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.3239 x[1] = -0.617 y[1] (analytic) = -7.9233764447247837952264321968996 y[1] (numeric) = -7.923376444643995927080022285402 absolute error = 8.07878681464099114976e-11 relative error = 1.0196141595695199218936156746537e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.324 x[1] = -0.616 y[1] (analytic) = -7.9219444435966101995510496572694 y[1] (numeric) = -7.9219444435153476959448428886557 absolute error = 8.12625036062067686137e-11 relative error = 1.0257898699591625200136762396618e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.324 x[1] = -0.615 y[1] (analytic) = -7.9205125434401467012523521924078 y[1] (numeric) = -7.920512543358409198956591861316 absolute error = 8.17375022957603310918e-11 relative error = 1.0319723862246289315168263646389e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.867 Order of pole = 0.324 x[1] = -0.614 y[1] (analytic) = -7.9190807442568185839466104260557 y[1] (numeric) = -7.9190807441746057196865417623795 absolute error = 8.22128642600686636762e-11 relative error = 1.0381617123893095067975467137422e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.613 y[1] (analytic) = -7.917649046048052221131009720284 y[1] (numeric) = -7.9176490459653636315868421074464 absolute error = 8.26885895441676128376e-11 relative error = 1.0443578524794565097843755485525e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.612 y[1] (analytic) = -7.9162174488152750763188057621804 y[1] (numeric) = -7.9162174487321103981256749432583 absolute error = 8.31646781931308189221e-11 relative error = 1.0505608105241863294546968526501e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.611 y[1] (analytic) = -7.9147859525599157031745935486575 y[1] (numeric) = -7.914785952476274572922523820346 absolute error = 8.36411302520697283115e-11 relative error = 1.0567705905554816933152732441275e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.61 y[1] (analytic) = -7.9133545572834037456496898058806 y[1] (numeric) = -7.9133545571992857998835562002842 absolute error = 8.41179457661336055964e-11 relative error = 1.0629871966081938828693347791937e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.609 y[1] (analytic) = -7.9119232629871699381176288798436 y[1] (numeric) = -7.9119232629025748133371193340853 absolute error = 8.45951247805095457583e-11 relative error = 1.0692106327200449510240766040049e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.608 y[1] (analytic) = -7.9104920696726461055097721346643 y[1] (numeric) = -7.9104920695875734381693496482987 absolute error = 8.50726673404224863656e-11 relative error = 1.0754409029316299415023313682756e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=68.6MB, alloc=4.4MB, time=7.37 Complex estimate of poles used Radius of convergence = 9.866 Order of pole = 0.324 x[1] = -0.607 y[1] (analytic) = -7.9090609773412651634510308951968 y[1] (numeric) = -7.9090609772557145899598956754165 absolute error = 8.55505734911352197803e-11 relative error = 1.0816780112864191102198596870066e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.606 y[1] (analytic) = -7.9076299859944611183957029705979 y[1] (numeric) = -7.907629985908432275117754565222 absolute error = 8.60288432779484053759e-11 relative error = 1.0879219618307601486364355961607e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.605 y[1] (analytic) = -7.9061990956336690677634227955182 y[1] (numeric) = -7.9061990955471615910172222137507 absolute error = 8.65074767462005817675e-11 relative error = 1.0941727586138804090952391784865e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.604 y[1] (analytic) = -7.9047683062603252000752252256226 y[1] (numeric) = -7.9047683061733387261339570465701 absolute error = 8.69864739412681790525e-11 relative error = 1.1004304056878891321321972467880e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.603 y[1] (analytic) = -7.9033376178758667950897230241814 y[1] (numeric) = -7.9033376177884009601811574931167 absolute error = 8.74658349085655310647e-11 relative error = 1.1066949071077796757925582975744e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.602 y[1] (analytic) = -7.9019070304817322239393980765044 y[1] (numeric) = -7.9019070303937866642458531888664 absolute error = 8.79455596935448876380e-11 relative error = 1.1129662669314317469085170476397e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.601 y[1] (analytic) = -7.9004765440793609492670063690289 y[1] (numeric) = -7.9004765439909353009253099421465 absolute error = 8.84256483416964268824e-11 relative error = 1.1192444892196136343739097094952e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.865 Order of pole = 0.324 x[1] = -0.6 y[1] (analytic) = -7.899046158670193525362096769906 y[1] (numeric) = -7.899046158581287424463548502434 absolute error = 8.89061008985482674720e-11 relative error = 1.1255295780359844444140733154724e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.599 y[1] (analytic) = -7.8976158742556715982976436479636 y[1] (numeric) = -7.897615874166284680887977167019 absolute error = 8.93869174096664809446e-11 relative error = 1.1318215374470963378476926602157e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.598 y[1] (analytic) = -7.8961856908372379060667933669594 y[1] (numeric) = -7.8961856907473698081461382629473 absolute error = 8.98680979206551040121e-11 relative error = 1.1381203715223967693323873194178e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.597 y[1] (analytic) = -7.8947556084163362787197246920733 y[1] (numeric) = -7.8947556083259866362425685411901 absolute error = 9.03496424771561508832e-11 relative error = 1.1444260843342307286149117434855e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=72.4MB, alloc=4.4MB, time=7.79 Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.596 y[1] (analytic) = -7.8933256269944116385006231456222 y[1] (numeric) = -7.8933256269035800873757735200248 absolute error = 9.08315511248496255974e-11 relative error = 1.1507386799578429837751985793735e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.595 y[1] (analytic) = -7.891895746572909999984769349017 y[1] (numeric) = -7.8918957464815961760753158146454 absolute error = 9.13138239094535343716e-11 relative error = 1.1570581624713803264826028083461e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.594 y[1] (analytic) = -7.890465967153278470215741388011 y[1] (numeric) = -7.8904659670614820093390174900549 absolute error = 9.17964608767238979561e-11 relative error = 1.1633845359558938192256992740070e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.864 Order of pole = 0.324 x[1] = -0.593 y[1] (analytic) = -7.8890362887369652488427312383337 y[1] (numeric) = -7.889036288644685786770276474329 absolute error = 9.22794620724547640047e-11 relative error = 1.1697178044953410445770683389149e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.324 x[1] = -0.592 y[1] (analytic) = -7.8876067113254196282579752888278 y[1] (numeric) = -7.8876067112326568007154970693727 absolute error = 9.27628275424782194551e-11 relative error = 1.1760579721765883564468287257237e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.324 x[1] = -0.591 y[1] (analytic) = -7.8861772349200919937342989992512 y[1] (numeric) = -7.8861772348268454364016345963295 absolute error = 9.32465573326644029217e-11 relative error = 1.1824050430894131333534232047266e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.324 x[1] = -0.59 y[1] (analytic) = -7.8847478595224338235627757299327 y[1] (numeric) = -7.8847478594287031720738542128347 absolute error = 9.37306514889215170980e-11 relative error = 1.1887590213265060336780580614952e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.324 x[1] = -0.589 y[1] (analytic) = -7.8833185851338976891904997805168 y[1] (numeric) = -7.8833185850396825791333039393418 absolute error = 9.42151100571958411750e-11 relative error = 1.1951199109834732529858498841194e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.3241 x[1] = -0.588 y[1] (analytic) = -7.8818894117559372553584736750507 y[1] (numeric) = -7.8818894116612373222750019317845 absolute error = 9.46999330834717432662e-11 relative error = 1.2014877161588387832963933663884e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.3241 x[1] = -0.587 y[1] (analytic) = -7.8804603393900072802396097307199 y[1] (numeric) = -7.8804603392948221596258380378727 absolute error = 9.51851206137716928472e-11 relative error = 1.2078624409540466744070921536679e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.863 Order of pole = 0.3241 x[1] = -0.586 y[1] (analytic) = -7.8790313680375636155768459475626 y[1] (numeric) = -7.879031367941892942882689674355 absolute error = 9.56706726941562732076e-11 relative error = 1.2142440894734632972420172105629e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=76.2MB, alloc=4.4MB, time=8.21 Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.585 y[1] (analytic) = -7.8776024977000632068213762565284 y[1] (numeric) = -7.8776024976039066174506520626168 absolute error = 9.61565893707241939116e-11 relative error = 1.2206326658243796091825143900992e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.584 y[1] (analytic) = -7.8761737283789640932709951632902 y[1] (numeric) = -7.8761737282823212225813828600162 absolute error = 9.66428706896123032740e-11 relative error = 1.2270281741170134214664927249378e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.583 y[1] (analytic) = -7.8747450600757254082085568252414 y[1] (numeric) = -7.8747450599785958915115612243971 absolute error = 9.71295166969956008443e-11 relative error = 1.2334306184645116685656668288935e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.582 y[1] (analytic) = -7.8733164927918073790405485991579 y[1] (numeric) = -7.8733164926941908516014613492523 absolute error = 9.76165274390872499056e-11 relative error = 1.2398400029829526796277100912663e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.581 y[1] (analytic) = -7.8718880265286713274357790970289 y[1] (numeric) = -7.8718880264305674244736405070455 absolute error = 9.81039029621385899834e-11 relative error = 1.2462563317913484519230409931987e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.58 y[1] (analytic) = -7.8704596612877796694641807876024 y[1] (numeric) = -7.8704596611891880261517416382364 absolute error = 9.85916433124391493660e-11 relative error = 1.2526796090116469263197344304227e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.579 y[1] (analytic) = -7.8690313970705959157357271812258 y[1] (numeric) = -7.8690313969715161671994105235873 absolute error = 9.90797485363166576385e-11 relative error = 1.2591098387687342648138956712124e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.862 Order of pole = 0.3241 x[1] = -0.578 y[1] (analytic) = -7.8676032338785846715394646355921 y[1] (numeric) = -7.867603233779016452859327577366 absolute error = 9.95682186801370582261e-11 relative error = 1.2655470251904371300627982769767e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 x[1] = -0.577 y[1] (analytic) = -7.8661751717132116369826588200455 y[1] (numeric) = -7.8661751716131545831923542990945 absolute error = 1.000570537903045209510e-10 relative error = 1.2719911724075249669773388415437e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 x[1] = -0.576 y[1] (analytic) = -7.8647472105759436071300558761283 y[1] (numeric) = -7.8647472104753973532167944215278 absolute error = 1.005462539132614546005e-10 relative error = 1.2784422845537122863452524914866e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 x[1] = -0.575 y[1] (analytic) = -7.8633193504682484721432583120893 y[1] (numeric) = -7.8633193503672126530477697925834 absolute error = 1.010358190954885195059e-10 relative error = 1.2849003657656609504819253579297e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 memory used=80.1MB, alloc=4.4MB, time=8.64 x[1] = -0.574 y[1] (analytic) = -7.8618915913915952174202156691118 y[1] (numeric) = -7.8618915912900694680367110289767 absolute error = 1.015257493835046401351e-10 relative error = 1.2913654201829824609476094745336e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 x[1] = -0.573 y[1] (analytic) = -7.8604639333474539237348299970476 y[1] (numeric) = -7.8604639332454378789109629793524 absolute error = 1.020160448238670176952e-10 relative error = 1.2978374519482402482859366415215e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 x[1] = -0.572 y[1] (analytic) = -7.8590363763372957673766761774873 y[1] (numeric) = -7.8590363762347890619135050347392 absolute error = 1.025067054631711427481e-10 relative error = 1.3043164652069519638238136312810e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.861 Order of pole = 0.3241 x[1] = -0.571 y[1] (analytic) = -7.8576089203625930202908371320244 y[1] (numeric) = -7.8576089202595952889427863241878 absolute error = 1.029977313480508078366e-10 relative error = 1.3108024641075917735028427279640e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3241 x[1] = -0.57 y[1] (analytic) = -7.8561815654248190502178539536139 y[1] (numeric) = -7.8561815653213299276926758334898 absolute error = 1.034891225251781201241e-10 relative error = 1.3172954528015926537836488441522e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3242 x[1] = -0.569 y[1] (analytic) = -7.8547543115254483208337909989534 y[1] (numeric) = -7.8547543114214674417925274849094 absolute error = 1.039808790412635140440e-10 relative error = 1.3237954354433486895754358187920e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3242 x[1] = -0.568 y[1] (analytic) = -7.8533271586659563918904159798585 y[1] (numeric) = -7.8533271585614833909473602158952 absolute error = 1.044730009430557639633e-10 relative error = 1.3303024161902173742499854147193e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3242 x[1] = -0.567 y[1] (analytic) = -7.8519001068478199193554950916313 y[1] (numeric) = -7.8519001067428544310781530947762 absolute error = 1.049654882773419968551e-10 relative error = 1.3368163992025219116745872849136e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3242 x[1] = -0.566 y[1] (analytic) = -7.8504731560725166555532032164647 y[1] (numeric) = -7.8504731559670583144622555114788 absolute error = 1.054583410909477049859e-10 relative error = 1.3433373886435535203409586624917e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3242 x[1] = -0.565 y[1] (analytic) = -7.8490463063415254493046492399534 y[1] (numeric) = -7.8490463062355738898739124813404 absolute error = 1.059515594307367586130e-10 relative error = 1.3498653886795737395322755529654e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.86 Order of pole = 0.3242 x[1] = -0.564 y[1] (analytic) = -7.8476195576563262460685165188217 y[1] (numeric) = -7.8476195575498811027249051001281 absolute error = 1.064451433436114186936e-10 relative error = 1.3564004034798167375506313309042e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.563 y[1] (analytic) = -7.8461929100184000880818185380148 y[1] (numeric) = -7.8461929099114609952053061884079 absolute error = 1.069390928765123496069e-10 relative error = 1.3629424372164916220234467981609e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=83.9MB, alloc=4.4MB, time=9.07 Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.562 y[1] (analytic) = -7.844766363429229114500769795332 y[1] (numeric) = -7.8447663633217957064243511634449 absolute error = 1.074334080764186318871e-10 relative error = 1.3694914940647847522640409076761e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.561 y[1] (analytic) = -7.8433399178902965615417719518192 y[1] (numeric) = -7.8433399177823684725514241768507 absolute error = 1.079280889903477749685e-10 relative error = 1.3760475782028620537036083898429e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.56 y[1] (analytic) = -7.8419135734030867626225152861721 y[1] (numeric) = -7.8419135732946636269571595562293 absolute error = 1.084231356653557299428e-10 relative error = 1.3826106938118713343978476227634e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.559 y[1] (analytic) = -7.8404873299690851485031954914373 y[1] (numeric) = -7.8404873298601666003546585891095 absolute error = 1.089185481485369023278e-10 relative error = 1.3891808450759446036000071207496e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.558 y[1] (analytic) = -7.839061187589778247427845852335 y[1] (numeric) = -7.8390611874803639209408216874867 absolute error = 1.094143264870241648483e-10 relative error = 1.3957580361822003924125168323318e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.859 Order of pole = 0.3242 x[1] = -0.557 y[1] (analytic) = -7.8376351462666536852657848415602 y[1] (numeric) = -7.8376351461567432145377959713316 absolute error = 1.099104707279888702286e-10 relative error = 1.4023422713207460765115248098017e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3242 x[1] = -0.556 y[1] (analytic) = -7.8362092060012001856531791734594 y[1] (numeric) = -7.8362092058907932047345383094619 absolute error = 1.104069809186408639975e-10 relative error = 1.4089335546846802009577926411967e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3242 x[1] = -0.555 y[1] (analytic) = -7.8347833667949075701347223535094 y[1] (numeric) = -7.8347833666840037130284938562053 absolute error = 1.109038571062284973041e-10 relative error = 1.4155318904700948070742364660663e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3243 x[1] = -0.554 y[1] (analytic) = -7.8333576286492667583054287620678 y[1] (numeric) = -7.8333576285378656589673901223209 absolute error = 1.114010993380386397469e-10 relative error = 1.4221372828760777614239877324652e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3243 x[1] = -0.553 y[1] (analytic) = -7.8319319915657697679525433108927 y[1] (numeric) = -7.8319319914538710602911466186791 absolute error = 1.118987076613966922136e-10 relative error = 1.4287497361047150868577783406905e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3243 x[1] = -0.552 y[1] (analytic) = -7.8305064555459097151975667109718 y[1] (numeric) = -7.8305064554335130330739001112383 absolute error = 1.123966821236665997335e-10 relative error = 1.4353692543610932956568761131639e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=87.7MB, alloc=4.4MB, time=9.49 Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3243 x[1] = -0.551 y[1] (analytic) = -7.8290810205911808146383963902329 y[1] (numeric) = -7.829081020478285791866145525891 absolute error = 1.128950227722508643419e-10 relative error = 1.4419958418533017247659016916899e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.858 Order of pole = 0.3243 x[1] = -0.55 y[1] (analytic) = -7.8276556867030783794915830997432 y[1] (numeric) = -7.8276556865896846498369925417877 absolute error = 1.133937296545905579555e-10 relative error = 1.4486295027924348731047387991348e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.549 y[1] (analytic) = -7.8262304538830988217347032470445 y[1] (numeric) = -7.8262304537692060189165379117835 absolute error = 1.138928028181653352610e-10 relative error = 1.4552702413925947409896214072580e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.548 y[1] (analytic) = -7.8248053221327396522488469953036 y[1] (numeric) = -7.8248053220183474099383535486883 absolute error = 1.143922423104934466153e-10 relative error = 1.4619180618708931716449608628857e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.547 y[1] (analytic) = -7.8233802914534994809612221669928 y[1] (numeric) = -7.8233802913386074327820904160358 absolute error = 1.148920481791317509570e-10 relative error = 1.4685729684474541948040651912896e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.546 y[1] (analytic) = -7.8219553618468780169878739908547 y[1] (numeric) = -7.8219553617314857965161982621248 absolute error = 1.153922204716757287299e-10 relative error = 1.4752349653454163724096838111802e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.545 y[1] (analytic) = -7.8205305333143760687765207309392 y[1] (numeric) = -7.8205305331984833095407612361194 absolute error = 1.158927592357594948198e-10 relative error = 1.4819040567909351464329981267858e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.544 y[1] (analytic) = -7.8191058058574955442495052365357 y[1] (numeric) = -7.8191058057411018797304494250336 absolute error = 1.163936645190558115021e-10 relative error = 1.4885802470131851887811058754103e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.857 Order of pole = 0.3243 x[1] = -0.543 y[1] (analytic) = -7.8176811794777394509468624518604 y[1] (numeric) = -7.8176811793608445145775863504593 absolute error = 1.168949363692761014011e-10 relative error = 1.4952635402443627533064937708355e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.542 y[1] (analytic) = -7.8162566541766118961695029243961 y[1] (numeric) = -7.8162566540592153213353324639336 absolute error = 1.173965748341704604625e-10 relative error = 1.5019539407196880299396881482244e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.541 y[1] (analytic) = -7.8148322299556180871225123508149 y[1] (numeric) = -7.8148322298377195071609846798781 absolute error = 1.178985799615276709368e-10 relative error = 1.5086514526774075009176779065343e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=91.5MB, alloc=4.5MB, time=9.92 Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.54 y[1] (analytic) = -7.8134079068162643310585671994531 y[1] (numeric) = -7.8134079066978633792593919850775 absolute error = 1.184009517991752143756e-10 relative error = 1.5153560803587962991356968503213e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.539 y[1] (analytic) = -7.8119836847600580354214664483399 y[1] (numeric) = -7.8119836846411543450264871637012 absolute error = 1.189036903949792846387e-10 relative error = 1.5220678280081605685975084779330e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.538 y[1] (analytic) = -7.8105595637885077079897794778237 y[1] (numeric) = -7.8105595636691009121929346769088 absolute error = 1.194067957968448009149e-10 relative error = 1.5287866998728398270033150728470e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.537 y[1] (analytic) = -7.8091355439031229570206101568681 y[1] (numeric) = -7.8091355437832126889678947361149 absolute error = 1.199102680527154207532e-10 relative error = 1.5355127002032093304350750121156e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.856 Order of pole = 0.3244 x[1] = -0.536 y[1] (analytic) = -7.8077116251054144913934771621324 y[1] (numeric) = -7.8077116249850003841829036090255 absolute error = 1.204141072105735531069e-10 relative error = 1.5422458332526824401732382236140e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3244 x[1] = -0.535 y[1] (analytic) = -7.8062878073968941207543105689845 y[1] (numeric) = -7.8062878072759758074358701975943 absolute error = 1.209183133184403713902e-10 relative error = 1.5489861032777129916418089858492e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3244 x[1] = -0.534 y[1] (analytic) = -7.8048640907790747556595647536294 y[1] (numeric) = -7.8048640906576518692351889270838 absolute error = 1.214228864243758265456e-10 relative error = 1.5557335145377976654619836376051e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3244 x[1] = -0.533 y[1] (analytic) = -7.8034404752534704077204476455745 y[1] (numeric) = -7.8034404751315425811439689854511 absolute error = 1.219278265764786601234e-10 relative error = 1.5624880712954783606330256822351e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3244 x[1] = -0.532 y[1] (analytic) = -7.8020169608215961897472663696912 y[1] (numeric) = -7.8020169606991630559243799523154 absolute error = 1.224331338228864173758e-10 relative error = 1.5692497778163445698744478216147e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3244 x[1] = -0.531 y[1] (analytic) = -7.8005935474849683158938893171595 y[1] (numeric) = -7.8005935473620295076821138568006 absolute error = 1.229388082117754603589e-10 relative error = 1.5760186383690357570456796108016e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3245 x[1] = -0.53 y[1] (analytic) = -7.7991702352451041018023246846326 y[1] (numeric) = -7.7991702351216592520109637035819 absolute error = 1.234448497913609810507e-10 relative error = 1.5827946572252437367490399772255e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=95.3MB, alloc=4.5MB, time=10.34 Complex estimate of poles used Radius of convergence = 9.855 Order of pole = 0.3245 x[1] = -0.529 y[1] (analytic) = -7.7977470241035219647474155209799 y[1] (numeric) = -7.7977470239795707061375185065014 absolute error = 1.239512586098970144785e-10 relative error = 1.5895778386597150560334715497304e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.528 y[1] (analytic) = -7.7963239140617414237816513210156 y[1] (numeric) = -7.7963239139372833890659748691554 absolute error = 1.244580347156764518602e-10 relative error = 1.5963681869502533782587471421546e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.527 y[1] (analytic) = -7.7949009051212830998800962056463 y[1] (numeric) = -7.7949009049963179217230651518907 absolute error = 1.249651781570310537556e-10 relative error = 1.6031657063777218690721823579043e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.526 y[1] (analytic) = -7.7934779972836687160854337279174 y[1] (numeric) = -7.7934779971581960271031022646844 absolute error = 1.254726889823314632330e-10 relative error = 1.6099704012260455845678647971751e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.525 y[1] (analytic) = -7.792055190550421097653128344462 y[1] (numeric) = -7.7920551904244405304131411254181 absolute error = 1.259805672399872190439e-10 relative error = 1.6167822757822138615380919782867e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.524 y[1] (analytic) = -7.7906324849230641721967035919064 y[1] (numeric) = -7.7906324847965753592182568230927 absolute error = 1.264888129784467688137e-10 relative error = 1.6236013343362827099203998103168e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.523 y[1] (analytic) = -7.7892098804031229698331370078106 y[1] (numeric) = -7.7892098802761255435869395255688 absolute error = 1.269974262461974822418e-10 relative error = 1.6304275811813772073575587279237e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.854 Order of pole = 0.3245 x[1] = -0.522 y[1] (analytic) = -7.7877873769921236233283718357656 y[1] (numeric) = -7.7877873768646172162366061714505 absolute error = 1.275064070917656643151e-10 relative error = 1.6372610206136938959239035497772e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3245 x[1] = -0.521 y[1] (analytic) = -7.7863649746915933682429455543037 y[1] (numeric) = -7.7863649745635776126792289857704 absolute error = 1.280157555637165685333e-10 relative error = 1.6441016569325031809995196852439e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3246 x[1] = -0.52 y[1] (analytic) = -7.7849426735030605430777352693139 y[1] (numeric) = -7.7849426733745350713670808591677 absolute error = 1.285254717106544101462e-10 relative error = 1.6509494944401517322969020127779e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3246 x[1] = -0.519 y[1] (analytic) = -7.7835204734280545894198200096925 y[1] (numeric) = -7.7835204732990190338385976302885 absolute error = 1.290355555812223794040e-10 relative error = 1.6578045374420648870549867809776e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3246 memory used=99.1MB, alloc=4.5MB, time=10.76 x[1] = -0.518 y[1] (analytic) = -7.7820983744681060520884599659926 y[1] (numeric) = -7.7820983743385600448643573111744 absolute error = 1.295460072241026548182e-10 relative error = 1.6646667902467490553717878028717e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3246 x[1] = -0.517 y[1] (analytic) = -7.7806763766247465792811927118774 y[1] (numeric) = -7.7806763764946897525931762954409 absolute error = 1.300568266880164164365e-10 relative error = 1.6715362571657941277213689461557e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3246 x[1] = -0.516 y[1] (analytic) = -7.7792544798995089227200464482125 y[1] (numeric) = -7.7792544797689409086983225890844 absolute error = 1.305680140217238591281e-10 relative error = 1.6784129425138758846109680345245e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.853 Order of pole = 0.3246 x[1] = -0.515 y[1] (analytic) = -7.7778326842939269377978703096762 y[1] (numeric) = -7.7778326841628473685238461037934 absolute error = 1.310795692740242058828e-10 relative error = 1.6852968506087584084240211634189e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.852 Order of pole = 0.3246 x[1] = -0.514 y[1] (analytic) = -7.7764109898095355837247817737965 y[1] (numeric) = -7.7764109896779440912310260526753 absolute error = 1.315914924937557211212e-10 relative error = 1.6921879857712964974164601442690e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.852 Order of pole = 0.3246 x[1] = -0.513 y[1] (analytic) = -7.7749893964478709236747312123646 y[1] (numeric) = -7.774989396315767139944935488347 absolute error = 1.321037837297957240176e-10 relative error = 1.6990863523254380818889127466880e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.852 Order of pole = 0.3246 x[1] = -0.512 y[1] (analytic) = -7.7735679042104701249321836252089 y[1] (numeric) = -7.7735679040778536819011230233744 absolute error = 1.326164430310606018345e-10 relative error = 1.7059919545982266425227345777044e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.852 Order of pole = 0.3246 x[1] = -0.511 y[1] (analytic) = -7.7721465130988714590389175963535 y[1] (numeric) = -7.7721465129657419885924117730828 absolute error = 1.331294704465058232707e-10 relative error = 1.7129047969198036309076689393002e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.852 Order of pole = 0.3247 x[1] = -0.51 y[1] (analytic) = -7.7707252231146143019409415126158 y[1] (numeric) = -7.7707252229809714359158155607959 absolute error = 1.336428660251259518199e-10 relative error = 1.7198248836234108922233398840026e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.852 Order of pole = 0.3247 x[1] = -0.509 y[1] (analytic) = -7.7693040342592391341355270847415 y[1] (numeric) = -7.7693040341250825043195724255987 absolute error = 1.341566298159546591428e-10 relative error = 1.7267522190453930901152416265849e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.508 y[1] (analytic) = -7.767882946534287540818360211206 y[1] (numeric) = -7.7678829463996167789502954727558 absolute error = 1.346707618680647384502e-10 relative error = 1.7336868075252001337351417692910e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.507 y[1] (analytic) = -7.7664619599413022120308092248539 y[1] (numeric) = -7.7664619598061169498002411069532 absolute error = 1.351852622305681179007e-10 relative error = 1.7406286534053896069943137425267e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=103.0MB, alloc=4.5MB, time=11.18 Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.506 y[1] (analytic) = -7.7650410744818269428073105625769 y[1] (numeric) = -7.7650410743461268118546946885697 absolute error = 1.357001309526158740072e-10 relative error = 1.7475777610316291999570285018561e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.505 y[1] (analytic) = -7.7636202901574066333228718982772 y[1] (numeric) = -7.7636202900211912652394736532183 absolute error = 1.362153680833982450589e-10 relative error = 1.7545341347526991424626357626312e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.504 y[1] (analytic) = -7.7621996069695872890406927793917 y[1] (numeric) = -7.762199606832856315368548134838 absolute error = 1.367309736721446445537e-10 relative error = 1.7614977789204946399126747752732e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.503 y[1] (analytic) = -7.7607790249199160208599028072932 y[1] (numeric) = -7.76077902478266907309177913265 absolute error = 1.372469477681236746432e-10 relative error = 1.7684686978900283112534234115179e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.851 Order of pole = 0.3247 x[1] = -0.502 y[1] (analytic) = -7.7593585440099410452634174019221 y[1] (numeric) = -7.7593585438721777548427742623312 absolute error = 1.377632904206431395909e-10 relative error = 1.7754468960194326291637177490324e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.501 y[1] (analytic) = -7.7579381642412116844659111910357 y[1] (numeric) = -7.757938164102931682786861131795 absolute error = 1.382800016790500592407e-10 relative error = 1.7824323776699623624127727953781e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.5 y[1] (analytic) = -7.7565178856152783665619090645037 y[1] (numeric) = -7.7565178854764812849691783820037 absolute error = 1.387970815927306825000e-10 relative error = 1.7894251472059970204455076141932e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.499 y[1] (analytic) = -7.7550977081336926256739949341119 y[1] (numeric) = -7.7550977079943780954628844332776 absolute error = 1.393145302111105008343e-10 relative error = 1.7964252089950433001575403953427e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.498 y[1] (analytic) = -7.7536776317980071021011382393709 y[1] (numeric) = -7.7536776316581747545174839775985 absolute error = 1.398323475836542617724e-10 relative error = 1.8034325674077375348503363284521e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.497 y[1] (analytic) = -7.7522576566097755424671382398735 y[1] (numeric) = -7.7522576564694250087072722574468 absolute error = 1.403505337598659824267e-10 relative error = 1.8104472268178481454266334541099e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.496 y[1] (analytic) = -7.7508377825705527998691861347684 y[1] (numeric) = -7.7508377824296837110798971717437 absolute error = 1.408690887892889630247e-10 relative error = 1.8174691916022780937779835368394e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=106.8MB, alloc=4.5MB, time=11.61 Complex estimate of poles used Radius of convergence = 9.85 Order of pole = 0.3248 x[1] = -0.495 y[1] (analytic) = -7.7494180096818948340265450499619 y[1] (numeric) = -7.7494180095405068213050392495111 absolute error = 1.413880127215058004508e-10 relative error = 1.8244984661410673383548861112662e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3248 x[1] = -0.494 y[1] (analytic) = -7.7479983379453587114293479337012 y[1] (numeric) = -7.7479983378034514058232095318962 absolute error = 1.419073056061384018050e-10 relative error = 1.8315350548173952920067782217806e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3248 x[1] = -0.493 y[1] (analytic) = -7.7465787673625026054875134012146 y[1] (numeric) = -7.7465787672200756379946654032459 absolute error = 1.424269674928479979687e-10 relative error = 1.8385789620175832819675630778115e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3249 x[1] = -0.492 y[1] (analytic) = -7.7451592979348857966797795691394 y[1] (numeric) = -7.7451592977919387982484444119526 absolute error = 1.429469984313351571868e-10 relative error = 1.8456301921310970121074921949001e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3249 x[1] = -0.491 y[1] (analytic) = -7.7437399296640686727028559204918 y[1] (numeric) = -7.7437399295206012742315161218308 absolute error = 1.434673984713397986610e-10 relative error = 1.8526887495505490273877266022090e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3249 x[1] = -0.49 y[1] (analytic) = -7.7423206625516127286206932409751 y[1] (numeric) = -7.7423206624076245609580520348209 absolute error = 1.439881676626412061542e-10 relative error = 1.8597546386717011805183885422127e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3249 x[1] = -0.489 y[1] (analytic) = -7.7409014965990805670138716674611 y[1] (numeric) = -7.7409014964545712609588136258523 absolute error = 1.445093060550580416088e-10 relative error = 1.8668278638934671008583787417680e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.849 Order of pole = 0.3249 x[1] = -0.488 y[1] (analytic) = -7.7394824318080358981291068895146 y[1] (numeric) = -7.7394824316630050844306585307375 absolute error = 1.450308136984483587771e-10 relative error = 1.8739084296179146655358541039064e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.3249 x[1] = -0.487 y[1] (analytic) = -7.7380634681800435400288745448678 y[1] (numeric) = -7.7380634680344908493861649280039 absolute error = 1.455526906427096168639e-10 relative error = 1.8809963402502684727927827672071e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.3249 x[1] = -0.486 y[1] (analytic) = -7.7366446057166694187411528497897 y[1] (numeric) = -7.7366446055705944818033741556086 absolute error = 1.460749369377786941811e-10 relative error = 1.8880916001989123175531199620090e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.3249 x[1] = -0.485 y[1] (analytic) = -7.7352258444194805684092835053328 y[1] (numeric) = -7.7352258442728830157756516035176 absolute error = 1.465975526336319018152e-10 relative error = 1.8951942138753916692283671983021e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=110.6MB, alloc=4.5MB, time=12.03 Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.325 x[1] = -0.484 y[1] (analytic) = -7.7338071842900451314419509204768 y[1] (numeric) = -7.7338071841429245936616659231693 absolute error = 1.471205377802849973075e-10 relative error = 1.9023041856944161517600733676889e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.325 x[1] = -0.483 y[1] (analytic) = -7.7323886253299323586632797932242 y[1] (numeric) = -7.7323886251822884662354865948779 absolute error = 1.476438924277931983463e-10 relative error = 1.9094215200738620258923684990831e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.325 x[1] = -0.482 y[1] (analytic) = -7.7309701675407126094630510907428 y[1] (numeric) = -7.7309701673925449928367998942717 absolute error = 1.481676166262511964711e-10 relative error = 1.9165462214347746736766643694869e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.848 Order of pole = 0.325 x[1] = -0.481 y[1] (analytic) = -7.7295518109239573519470364696858 y[1] (numeric) = -7.7295518107752656415212432988959 absolute error = 1.486917104257931707899e-10 relative error = 1.9236782942013710852248895154215e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.847 Order of pole = 0.325 x[1] = -0.48 y[1] (analytic) = -7.7281335554812391630874511778593 y[1] (numeric) = -7.7281335553320229892108583761498 absolute error = 1.492161738765928017095e-10 relative error = 1.9308177428010423477121216520203e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.847 Order of pole = 0.325 x[1] = -0.479 y[1] (analytic) = -7.7267154012141317288735254784392 y[1] (numeric) = -7.7267154010643907218446621937627 absolute error = 1.497410070288632846765e-10 relative error = 1.9379645716643561366010082393095e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.847 Order of pole = 0.325 x[1] = -0.478 y[1] (analytic) = -7.7252973481242098444621946379847 y[1] (numeric) = -7.7252973479739436345293372940527 absolute error = 1.502662099328573439320e-10 relative error = 1.9451187852250592091289302716907e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.847 Order of pole = 0.325 x[1] = -0.477 y[1] (analytic) = -7.7238793962130494143289075195281 y[1] (numeric) = -7.7238793960622576316900402732484 absolute error = 1.507917826388672462797e-10 relative error = 1.9522803879200799000561989871140e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.847 Order of pole = 0.3251 x[1] = -0.476 y[1] (analytic) = -7.7224615454822274524185538220551 y[1] (numeric) = -7.7224615453309097272213290071921 absolute error = 1.513177251972248148630e-10 relative error = 1.9594493841895306196204799017032e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.847 Order of pole = 0.3251 x[1] = -0.475 y[1] (analytic) = -7.7210437959333220822965100077381 y[1] (numeric) = -7.7210437957814780446382085647784 absolute error = 1.518440376583014429597e-10 relative error = 1.9666257784767103538109281867214e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3251 x[1] = -0.474 y[1] (analytic) = -7.7196261475679125372998039583075 y[1] (numeric) = -7.7196261474155418172272958505232 absolute error = 1.523707200725081077843e-10 relative error = 1.9738095752281071668347409391167e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=114.4MB, alloc=4.5MB, time=12.46 Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3251 x[1] = -0.473 y[1] (analytic) = -7.7182086003875791606883984019971 y[1] (numeric) = -7.7182086002346813881981030176912 absolute error = 1.528977724902953843059e-10 relative error = 1.9810007788934007058818586808247e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3251 x[1] = -0.472 y[1] (analytic) = -7.7167911543939034057965931525291 y[1] (numeric) = -7.7167911542404782108344396934519 absolute error = 1.534251949621534590772e-10 relative error = 1.9881993939254647081317184902262e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3251 x[1] = -0.471 y[1] (analytic) = -7.7153738095884678361845462016449 y[1] (numeric) = -7.7153738094345148486459340575676 absolute error = 1.539529875386121440773e-10 relative error = 1.9954054247803695100391979837593e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3251 x[1] = -0.47 y[1] (analytic) = -7.7139565659728561257899137067219 y[1] (numeric) = -7.7139565658183749755196728161576 absolute error = 1.544811502702408905643e-10 relative error = 2.0026188759173845588500875022123e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3251 x[1] = -0.469 y[1] (analytic) = -7.7125394235486530590796089150638 y[1] (numeric) = -7.7125394233936433758719601121189 absolute error = 1.550096832076488029449e-10 relative error = 2.0098397517989809264415720056323e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.846 Order of pole = 0.3252 x[1] = -0.468 y[1] (analytic) = -7.7111223823174445312016800664723 y[1] (numeric) = -7.7111223821619059448001954138211 absolute error = 1.555385864014846526512e-10 relative error = 2.0170680568908338253628828891171e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3252 x[1] = -0.467 y[1] (analytic) = -7.7097054422808175481373073157666 y[1] (numeric) = -7.7097054421247496882348704237313 absolute error = 1.560678599024368920353e-10 relative error = 2.0243037956618251272156970053658e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3252 x[1] = -0.466 y[1] (analytic) = -7.7082886034403602268529187169353 y[1] (numeric) = -7.7082886032837627230916850486635 absolute error = 1.565975037612336682718e-10 relative error = 2.0315469725840458832481170546552e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3252 x[1] = -0.465 y[1] (analytic) = -7.7068718657976617954524253106586 y[1] (numeric) = -7.706871865640534277423782473382 absolute error = 1.571275180286428372766e-10 relative error = 2.0387975921327988472733314554879e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3252 x[1] = -0.464 y[1] (analytic) = -7.705455229354312593329575356964 y[1] (numeric) = -7.7054552291966546905741033793284 absolute error = 1.576579027554719776356e-10 relative error = 2.0460556587866010008321426120930e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3252 x[1] = -0.463 y[1] (analytic) = -7.7040386941119040713204277548267 y[1] (numeric) = -7.7040386939537154133278593502792 absolute error = 1.581886579925684045475e-10 relative error = 2.0533211770271860806560228713731e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3252 memory used=118.2MB, alloc=4.5MB, time=12.89 x[1] = -0.462 y[1] (analytic) = -7.7026222600720287918559446905561 y[1] (numeric) = -7.7026222599133090080651255067769 absolute error = 1.587197837908191837792e-10 relative error = 2.0605941513395071084134391460104e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.845 Order of pole = 0.3253 x[1] = -0.461 y[1] (analytic) = -7.7012059272362804291147035568499 y[1] (numeric) = -7.7012059270770291489135524112182 absolute error = 1.592512802011511456317e-10 relative error = 2.0678745862117389227143698831710e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3253 x[1] = -0.46 y[1] (analytic) = -7.6997896956062537691757281844401 y[1] (numeric) = -7.6997896954464706219011972855176 absolute error = 1.597831472745308989225e-10 relative error = 2.0751624861352807134530979274349e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3253 x[1] = -0.459 y[1] (analytic) = -7.6983735651835447101714394282818 y[1] (numeric) = -7.6983735650232293251094745833052 absolute error = 1.603153850619648449766e-10 relative error = 2.0824578556047585583889221582084e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3253 x[1] = -0.458 y[1] (analytic) = -7.6969575359697502624407251502859 y[1] (numeric) = -7.6969575358089022688262259586536 absolute error = 1.608479936144991916323e-10 relative error = 2.0897606991180279620474714125730e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3253 x[1] = -0.457 y[1] (analytic) = -7.6955416079664685486821296406262 y[1] (numeric) = -7.6955416078050875756989096733668 absolute error = 1.613809729832199672594e-10 relative error = 2.0970710211761763969136719974387e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3253 x[1] = -0.456 y[1] (analytic) = -7.6941257811752988041071625196935 y[1] (numeric) = -7.6941257810133844808879094849036 absolute error = 1.619143232192530347899e-10 relative error = 2.1043888262835258469198688740662e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3253 x[1] = -0.455 y[1] (analytic) = -7.6927100555978413765937271628035 y[1] (numeric) = -7.692710055435393332219963057043 absolute error = 1.624480443737641057605e-10 relative error = 2.1117141189476353532222053799984e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.844 Order of pole = 0.3254 x[1] = -0.454 y[1] (analytic) = -7.6912944312356977268396686898091 y[1] (numeric) = -7.6912944310727155903417099354398 absolute error = 1.629821364979587543693e-10 relative error = 2.1190469036793035622986605932790e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.843 Order of pole = 0.3254 x[1] = -0.453 y[1] (analytic) = -7.6898789080904704285164415617986 y[1] (numeric) = -7.6898789079269538288733591302548 absolute error = 1.635165996430824315438e-10 relative error = 2.1263871849925712763332699517982e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.843 Order of pole = 0.3254 x[1] = -0.452 y[1] (analytic) = -7.6884634861637631684228968271058 y[1] (numeric) = -7.6884634859997117345624763480827 absolute error = 1.640514338604204790231e-10 relative error = 2.1337349674047240059264392676110e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.843 Order of pole = 0.3254 x[1] = -0.451 y[1] (analytic) = -7.6870481654571807466391890588884 y[1] (numeric) = -7.6870481652925941074378909154388 memory used=122.0MB, alloc=4.5MB, time=13.31 absolute error = 1.645866392012981434496e-10 relative error = 2.1410902554362945250724525476138e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.843 Order of pole = 0.3254 x[1] = -0.45 y[1] (analytic) = -7.6856329459723290766808030265815 y[1] (numeric) = -7.6856329458072068609637224361031 absolute error = 1.651222157170805904784e-10 relative error = 2.1484530536110654285130319799772e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.843 Order of pole = 0.3254 x[1] = -0.449 y[1] (analytic) = -7.6842178277108151856527001435535 y[1] (numeric) = -7.6842178275451570221935272246591 absolute error = 1.656581634591729188944e-10 relative error = 2.1558233664560716913391188260475e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.843 Order of pole = 0.3254 x[1] = -0.448 y[1] (analytic) = -7.6828028106742472144035847333473 y[1] (numeric) = -7.6828028105080527319245645586026 absolute error = 1.661944824790201747447e-10 relative error = 2.1632011985016032309419377207900e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.447 y[1] (analytic) = -7.6813878948642344176802901569171 y[1] (numeric) = -7.681387894697503244852182791433 absolute error = 1.667311728281073654841e-10 relative error = 2.1705865542812074712869737989803e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.446 y[1] (analytic) = -7.6799730802823871642822848433101 y[1] (numeric) = -7.6799730801151189297243253691788 absolute error = 1.672682345579594741313e-10 relative error = 2.1779794383316919094818480855766e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.445 y[1] (analytic) = -7.6785583669303169372162982662867 y[1] (numeric) = -7.6785583667625112694961567928471 absolute error = 1.678056677201414734396e-10 relative error = 2.1853798551931266846897772171457e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.444 y[1] (analytic) = -7.6771437548096363338510669094034 y[1] (numeric) = -7.677143754641292861484808569324 absolute error = 1.683434723662583400794e-10 relative error = 2.1927878094088471493557119280050e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.443 y[1] (analytic) = -7.6757292439219590660722002621263 y[1] (numeric) = -7.6757292437530774175242451932919 absolute error = 1.688816485479550688344e-10 relative error = 2.2002033055254564427721284440580e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.442 y[1] (analytic) = -7.6743148342688999604371668895769 y[1] (numeric) = -7.6743148340994797641202502027681 absolute error = 1.694201963169166868088e-10 relative error = 2.2076263480928280669515455681090e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.842 Order of pole = 0.3255 x[1] = -0.441 y[1] (analytic) = -7.6729005258520749583304006185552 y[1] (numeric) = -7.6729005256821158426055323509063 absolute error = 1.699591157248682676489e-10 relative error = 2.2150569416641084648522913238267e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.841 Order of pole = 0.3256 x[1] = -0.44 y[1] (analytic) = -7.6714863186731011161185268825187 y[1] (numeric) = -7.671486318502602709294951936742 absolute error = 1.704984068235749457767e-10 relative error = 2.2224950907957196009285060676382e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=125.8MB, alloc=4.5MB, time=13.73 Complex estimate of poles used Radius of convergence = 9.841 Order of pole = 0.3256 x[1] = -0.439 y[1] (analytic) = -7.6700722127335966053057092682374 y[1] (numeric) = -7.6700722125625585356408673376002 absolute error = 1.710380696648419306372e-10 relative error = 2.2299408000473615440287797595376e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.841 Order of pole = 0.3256 x[1] = -0.438 y[1] (analytic) = -7.6686582080351807126891163068785 y[1] (numeric) = -7.6686582078636026083886017859225 absolute error = 1.715781043005145209560e-10 relative error = 2.2373940739820150526013516775529e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.841 Order of pole = 0.3256 x[1] = -0.437 y[1] (analytic) = -7.6672443045794738405145085523227 y[1] (numeric) = -7.6672443044073553297320304333095 absolute error = 1.721185107824781190132e-10 relative error = 2.2448549171659441622863373110863e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.841 Order of pole = 0.3256 x[1] = -0.436 y[1] (analytic) = -7.6658305023680975066319459895385 y[1] (numeric) = -7.6658305021954382174692877446115 absolute error = 1.726592891626582449270e-10 relative error = 2.2523233341686987758111992102570e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.841 Order of pole = 0.3256 x[1] = -0.435 y[1] (analytic) = -7.664416801402674344651615815892 y[1] (numeric) = -7.6644168012294739051585952649398 absolute error = 1.732004394930205509522e-10 relative error = 2.2597993295631172552595122062644e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3256 x[1] = -0.434 y[1] (analytic) = -7.6630032016848281040997806382998 y[1] (numeric) = -7.6630032015110861422742098025099 absolute error = 1.737419618255708357899e-10 relative error = 2.2672829079253290166670334162869e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3257 x[1] = -0.433 y[1] (analytic) = -7.6615897032161836505748471291761 y[1] (numeric) = -7.6615897030418997943624920702644 absolute error = 1.742838562123550589117e-10 relative error = 2.2747740738347571269903834684053e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3257 x[1] = -0.432 y[1] (analytic) = -7.6601763059983669659035551841586 y[1] (numeric) = -7.6601763058235408431980958292637 absolute error = 1.748261227054593548949e-10 relative error = 2.2822728318741209034049405214989e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3257 x[1] = -0.431 y[1] (analytic) = -7.6587630100330051482972876246421 y[1] (numeric) = -7.6587630098576363869402775768703 absolute error = 1.753687613570100477718e-10 relative error = 2.2897791866294385149746594320208e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3257 x[1] = -0.43 y[1] (analytic) = -7.6573498153217264125085004881822 y[1] (numeric) = -7.6573498151458146402893268227906 absolute error = 1.759117722191736653916e-10 relative error = 2.2972931426900295866765175424272e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3257 x[1] = -0.429 y[1] (analytic) = -7.6559367218661600899872739498732 y[1] (numeric) = -7.655936721689704934643116996078 absolute error = 1.764551553441569537952e-10 relative error = 2.3048147046485178057857732372496e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=129.7MB, alloc=4.5MB, time=14.17 Complex estimate of poles used Radius of convergence = 9.84 Order of pole = 0.3257 x[1] = -0.428 y[1] (analytic) = -7.6545237296679366290379839178392 y[1] (numeric) = -7.6545237294909377182537770262375 absolute error = 1.769989107842068916017e-10 relative error = 2.3123438771008335306086353473543e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.427 y[1] (analytic) = -7.6531108387286875949760943460229 y[1] (numeric) = -7.6531108385511445563844836416129 absolute error = 1.775430385916107044100e-10 relative error = 2.3198806646462164016090270178443e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.426 y[1] (analytic) = -7.6516980490500456702850703074858 y[1] (numeric) = -7.6516980488719581314663744282746 absolute error = 1.780875388186958792112e-10 relative error = 2.3274250718872179548755644097841e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.425 y[1] (analytic) = -7.6502853606336446547734118714798 y[1] (numeric) = -7.6502853604550122432555816926653 absolute error = 1.786324115178301788145e-10 relative error = 2.3349771034297042379662899049540e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.424 y[1] (analytic) = -7.6488727734811194657318088275861 y[1] (numeric) = -7.6488727733019418089903871712993 absolute error = 1.791776567414216562868e-10 relative error = 2.3425367638828584281360694489917e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.423 y[1] (analytic) = -7.6474602875941061380904163002545 y[1] (numeric) = -7.6474602874143828635484976308503 absolute error = 1.797232745419186694042e-10 relative error = 2.3501040578591834529254174938123e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.422 y[1] (analytic) = -7.646047902974241824576251297117 y[1] (numeric) = -7.6460479027939725596044414020003 absolute error = 1.802692649718098951167e-10 relative error = 2.3576789899745046131300244809857e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.839 Order of pole = 0.3258 x[1] = -0.421 y[1] (analytic) = -7.6446356196231647958707102344881 y[1] (numeric) = -7.6446356194423491677870858904623 absolute error = 1.808156280836243440258e-10 relative error = 2.3652615648479722081493596354221e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.838 Order of pole = 0.3259 x[1] = -0.42 y[1] (analytic) = -7.6432234375425144407672074835021 y[1] (numeric) = -7.6432234373611520768372761086264 absolute error = 1.813623639299313748757e-10 relative error = 2.3728517871020641637258019608862e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.838 Order of pole = 0.3259 x[1] = -0.419 y[1] (analytic) = -7.6418113567339312663289349803752 y[1] (numeric) = -7.6418113565520217937655942713196 absolute error = 1.819094725633407090556e-10 relative error = 2.3804496613625886620438934132182e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.838 Order of pole = 0.3259 x[1] = -0.418 y[1] (analytic) = -7.6403993771990568980467429443242 y[1] (numeric) = -7.6403993770165999440102404992072 absolute error = 1.824569540365024451170e-10 relative error = 2.3880551922586867742430275665773e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=133.5MB, alloc=4.5MB, time=14.60 Complex estimate of poles used Radius of convergence = 9.838 Order of pole = 0.3259 x[1] = -0.417 y[1] (analytic) = -7.6389874989395340799971417467057 y[1] (numeric) = -7.6389874987565292715950346734022 absolute error = 1.830048084021070733035e-10 relative error = 2.3956683844228350953131842296393e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.838 Order of pole = 0.3259 x[1] = -0.416 y[1] (analytic) = -7.6375757219570066750004249749811 y[1] (numeric) = -7.6375757217734536392875394848897 absolute error = 1.835530357128854900914e-10 relative error = 2.4032892424908483813537490864284e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.838 Order of pole = 0.3259 x[1] = -0.415 y[1] (analytic) = -7.6361640462531196647789137351563 y[1] (numeric) = -7.6361640460690180287573047224097 absolute error = 1.841016360216090127466e-10 relative error = 2.4109177711018821892697151341739e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.326 x[1] = -0.414 y[1] (analytic) = -7.6347524718295191501153222363754 y[1] (numeric) = -7.6347524716448685407342328424828 absolute error = 1.846506093810893938926e-10 relative error = 2.4185539748984355188395230133850e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.326 x[1] = -0.413 y[1] (analytic) = -7.6333409986878523510112447013914 y[1] (numeric) = -7.6333409985026523951670658653007 absolute error = 1.851999558441788360907e-10 relative error = 2.4261978585263534571712317611560e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.326 x[1] = -0.412 y[1] (analytic) = -7.6319296268297676068457636466788 y[1] (numeric) = -7.6319296266440179313819936402434 absolute error = 1.857496754637700064354e-10 relative error = 2.4338494266348298255886306639361e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.326 x[1] = -0.411 y[1] (analytic) = -7.6305183562569143765341795759832 y[1] (numeric) = -7.6305183560706146082413835248227 absolute error = 1.862997682927960511605e-10 relative error = 2.4415086838764098288906739685429e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.326 x[1] = -0.41 y[1] (analytic) = -7.6291071869709432386868621311526 y[1] (numeric) = -7.6291071867840930043026315208921 absolute error = 1.868502343842306102605e-10 relative error = 2.4491756349069927070468154615358e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.326 x[1] = -0.409 y[1] (analytic) = -7.6276961189735058917682227441236 y[1] (numeric) = -7.627696118786104817977134912001 absolute error = 1.874010737910878321226e-10 relative error = 2.4568502843858343892689874772125e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.837 Order of pole = 0.3261 x[1] = -0.408 y[1] (analytic) = -7.626285152266255154255808833984 y[1] (numeric) = -7.6262851520783028676893864458106 absolute error = 1.879522865664223881734e-10 relative error = 2.4645326369755501505162705959437e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.836 Order of pole = 0.3261 x[1] = -0.407 y[1] (analytic) = -7.6248742868508449647995195930662 y[1] (numeric) = -7.6248742866623410920361901055278 absolute error = 1.885038727633294875384e-10 relative error = 2.4722226973421172704096924766566e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=137.3MB, alloc=4.5MB, time=15.03 Complex estimate of poles used Radius of convergence = 9.836 Order of pole = 0.3261 x[1] = -0.406 y[1] (analytic) = -7.6234635227289303823809434060669 y[1] (numeric) = -7.6234635225398745499459985143532 absolute error = 1.890558324349448917137e-10 relative error = 2.4799204701548776945516125016059e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.836 Order of pole = 0.3261 x[1] = -0.405 y[1] (analytic) = -7.622052859902167586472816946228 y[1] (numeric) = -7.6220528597125594208383720169767 absolute error = 1.896081656344449292513e-10 relative error = 2.4876259600865406982703793811810e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.836 Order of pole = 0.3261 x[1] = -0.404 y[1] (analytic) = -7.6206422983722138771986059926536 y[1] (numeric) = -7.6206422981820530047835594821954 absolute error = 1.901608724150465104582e-10 relative error = 2.4953391718131855527952318242307e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.836 Order of pole = 0.3261 x[1] = -0.403 y[1] (analytic) = -7.6192318381407276754922080128732 y[1] (numeric) = -7.6192318379500137226622008707662 absolute error = 1.907139528300071421070e-10 relative error = 2.5030601100142641938336070540125e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.836 Order of pole = 0.3262 x[1] = -0.402 y[1] (analytic) = -7.6178214792093685232577765548057 y[1] (numeric) = -7.6178214790181011163251516126453 absolute error = 1.912674069326249421604e-10 relative error = 2.5107887793726038925846771704000e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3262 x[1] = -0.401 y[1] (analytic) = -7.6164112215797970835296674923144 y[1] (numeric) = -7.6164112213879758487534288378054 absolute error = 1.918212347762386545090e-10 relative error = 2.5185251845744099291835938551891e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3262 x[1] = -0.4 y[1] (analytic) = -7.6150010652536751406325071685835 y[1] (numeric) = -7.6150010650612997042182795048617 absolute error = 1.923754364142276637218e-10 relative error = 2.5262693303092682685709127563306e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3262 x[1] = -0.399 y[1] (analytic) = -7.6135910102326656003413824815861 y[1] (numeric) = -7.6135910100397355884413704717762 absolute error = 1.929300119000120098099e-10 relative error = 2.5340212212701482387961075604221e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3262 x[1] = -0.398 y[1] (analytic) = -7.6121810565184324900421529559521 y[1] (numeric) = -7.6121810563249475287551005529487 absolute error = 1.934849612870524030034e-10 relative error = 2.5417808621534052117575275652202e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3262 x[1] = -0.397 y[1] (analytic) = -7.6107712041126409588918848455846 y[1] (numeric) = -7.6107712039186006742630346070439 absolute error = 1.940402846288502385407e-10 relative error = 2.5495482576587832863706436496125e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3263 x[1] = -0.396 y[1] (analytic) = -7.6093614530169572779794073114131 y[1] (numeric) = -7.6093614528223612960004596999409 absolute error = 1.945959819789476114722e-10 relative error = 2.5573234124894179741932112463160e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.835 Order of pole = 0.3263 x[1] = -0.395 y[1] (analytic) = -7.6079518032330488404859907187095 y[1] (numeric) = -7.6079518030378967870950633872333 memory used=141.1MB, alloc=4.5MB, time=15.45 absolute error = 1.951520533909273314762e-10 relative error = 2.5651063313518388874808149787993e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.834 Order of pole = 0.3263 x[1] = -0.394 y[1] (analytic) = -7.6065422547625841618461470984331 y[1] (numeric) = -7.6065422545668756629277341607451 absolute error = 1.957084989184129376880e-10 relative error = 2.5728970189559724296882883419016e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.834 Order of pole = 0.3263 x[1] = -0.393 y[1] (analytic) = -7.6051328076072328799085528171116 y[1] (numeric) = -7.6051328074109675612934841035692 absolute error = 1.962653186150687135424e-10 relative error = 2.5806954800151444884220045810726e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.834 Order of pole = 0.3263 x[1] = -0.392 y[1] (analytic) = -7.6037234617686657550970934998016 y[1] (numeric) = -7.6037234615718432425624937981727 absolute error = 1.968225125345997016289e-10 relative error = 2.5885017192460831308362050370310e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.834 Order of pole = 0.3263 x[1] = -0.391 y[1] (analytic) = -7.6023142172485546705720312507149 y[1] (numeric) = -7.6023142170511745898412795321539 absolute error = 1.973800807307517185610e-10 relative error = 2.5963157413689213014941432638320e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.834 Order of pole = 0.3264 x[1] = -0.39 y[1] (analytic) = -7.6009050740485726323912942161332 y[1] (numeric) = -7.6009050738506346091339828462756 absolute error = 1.979380232573113698576e-10 relative error = 2.6041375511071995226701215402222e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.834 Order of pole = 0.3264 x[1] = -0.389 y[1] (analytic) = -7.5994960321703937696718885342756 y[1] (numeric) = -7.5994960319718974295037824694373 absolute error = 1.984963401681060648383e-10 relative error = 2.6119671531878685971184632263426e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.833 Order of pole = 0.3264 x[1] = -0.388 y[1] (analytic) = -7.5980870916156933347514327168211 y[1] (numeric) = -7.5980870914166383032344286852903 absolute error = 1.990550315170040315308e-10 relative error = 2.6198045523412923132881217164581e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.833 Order of pole = 0.3264 x[1] = -0.387 y[1] (analytic) = -7.5966782523861477033498145068312 y[1] (numeric) = -7.5966782521865336059919001752375 absolute error = 1.996140973579143315937e-10 relative error = 2.6276497533012501530287287444017e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.833 Order of pole = 0.3264 x[1] = -0.386 y[1] (analytic) = -7.5952695144834343747309702578507 y[1] (numeric) = -7.5952695142832608369861833826009 absolute error = 2.001735377447868752498e-10 relative error = 2.6355027608049400017259898331932e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.833 Order of pole = 0.3264 x[1] = -0.385 y[1] (analytic) = -7.5938608779092319718647868790118 y[1] (numeric) = -7.593860877708498619133174442778 absolute error = 2.007333527316124362338e-10 relative error = 2.6433635795929808609201246094900e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.833 Order of pole = 0.3265 x[1] = -0.384 y[1] (analytic) = -7.5924523426652202415891263910037 y[1] (numeric) = -7.5924523424639266992167037242486 absolute error = 2.012935423724226667551e-10 relative error = 2.6512322144094155634189812923090e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=144.9MB, alloc=4.5MB, time=15.88 Complex estimate of poles used Radius of convergence = 9.833 Order of pole = 0.3265 x[1] = -0.383 y[1] (analytic) = -7.5910439087530800547719731378031 y[1] (numeric) = -7.5910439085512259480506830253334 absolute error = 2.018541067212901124697e-10 relative error = 2.6591086700017134908292090148312e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3265 x[1] = -0.382 y[1] (analytic) = -7.5896355761744934064737036991138 y[1] (numeric) = -7.5896355759720783606413754716451 absolute error = 2.024150458323282274687e-10 relative error = 2.6669929511207732936066310444137e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3265 x[1] = -0.381 y[1] (analytic) = -7.5882273449311434161094795484913 y[1] (numeric) = -7.5882273447281670563497881592116 absolute error = 2.029763597596913892797e-10 relative error = 2.6748850625209256135795140910289e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3265 x[1] = -0.38 y[1] (analytic) = -7.586819215024714327611762502172 y[1] (numeric) = -7.5868192148211762790541875882931 absolute error = 2.035380485575749138789e-10 relative error = 2.6827850089599358089181302505372e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3265 x[1] = -0.379 y[1] (analytic) = -7.5854111864568915095929530036711 y[1] (numeric) = -7.585411186252791397312737932951 absolute error = 2.041001122802150707201e-10 relative error = 2.6906927951990066816347065073998e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3266 x[1] = -0.378 y[1] (analytic) = -7.5840032592293614555081512892445 y[1] (numeric) = -7.5840032590246989045262621914702 absolute error = 2.046625509818890977743e-10 relative error = 2.6986084260027812075331600167175e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3266 x[1] = -0.377 y[1] (analytic) = -7.5825954333438117838180414793557 y[1] (numeric) = -7.582595433138586419101126262773 absolute error = 2.052253647169152165827e-10 relative error = 2.7065319061393452686479083173726e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.832 Order of pole = 0.3266 x[1] = -0.376 y[1] (analytic) = -7.5811877088019312381518986413296 y[1] (numeric) = -7.5811877085961426846122459940042 absolute error = 2.057885535396526473254e-10 relative error = 2.7144632403802303882045057228003e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.831 Order of pole = 0.3266 x[1] = -0.375 y[1] (analytic) = -7.579780085605409687470718868407 y[1] (numeric) = -7.5797800853990575699662172445069 absolute error = 2.063521175045016239001e-10 relative error = 2.7224024335004164680293608226597e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.831 Order of pole = 0.3266 x[1] = -0.374 y[1] (analytic) = -7.5783725637559381262304724204642 y[1] (numeric) = -7.5783725635490220695645690114477 absolute error = 2.069160566659034090165e-10 relative error = 2.7303494902783345284861089934247e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.831 Order of pole = 0.3266 x[1] = -0.373 y[1] (analytic) = -7.5769651432552086745454799716935 y[1] (numeric) = -7.5769651430477283034671396623903 absolute error = 2.074803710783403093032e-10 relative error = 2.7383044154958694508988668169073e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=148.7MB, alloc=4.5MB, time=16.31 Complex estimate of poles used Radius of convergence = 9.831 Order of pole = 0.3267 x[1] = -0.372 y[1] (analytic) = -7.5755578241049145783519120105838 y[1] (numeric) = -7.5755578238968695175555763201567 absolute error = 2.080450607963356904271e-10 relative error = 2.7462672139383627224647762836619e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.831 Order of pole = 0.3267 x[1] = -0.371 y[1] (analytic) = -7.5741506063067502095714114375815 y[1] (numeric) = -7.5741506060981400836969574453537 absolute error = 2.086101258744539922278e-10 relative error = 2.7542378903946151836912562268552e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.831 Order of pole = 0.3267 x[1] = -0.37 y[1] (analytic) = -7.5727434898624110662748394058491 y[1] (numeric) = -7.5727434896532354999075386619853 absolute error = 2.091755663673007438638e-10 relative error = 2.7622164496568897783181601206598e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.83 Order of pole = 0.3267 x[1] = -0.369 y[1] (analytic) = -7.5713364747735937728461444505812 y[1] (numeric) = -7.5713364745638523905166218716078 absolute error = 2.097413823295225789734e-10 relative error = 2.7702028965209143057655461974703e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.83 Order of pole = 0.3267 x[1] = -0.368 y[1] (analytic) = -7.5699295610419960801463549523755 y[1] (numeric) = -7.5699295608316885063305477015279 absolute error = 2.103075738158072508476e-10 relative error = 2.7781972357858841760738484394911e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.83 Order of pole = 0.3268 x[1] = -0.367 y[1] (analytic) = -7.5685227486693168656776949801992 y[1] (numeric) = -7.5685227484584427247968113325823 absolute error = 2.108741408808836476169e-10 relative error = 2.7861994722544651673639646297523e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.83 Order of pole = 0.3268 x[1] = -0.366 y[1] (analytic) = -7.5671160376572561337478235595291 y[1] (numeric) = -7.5671160374458150501683017520768 absolute error = 2.114410835795218074523e-10 relative error = 2.7942096107327961858236734351613e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.83 Order of pole = 0.3268 x[1] = -0.365 y[1] (analytic) = -7.5657094280075150156341974112835 y[1] (numeric) = -7.5657094277955066136676644775057 absolute error = 2.120084019665329337778e-10 relative error = 2.8022276560304920281871484116782e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.83 Order of pole = 0.3268 x[1] = -0.364 y[1] (analytic) = -7.5643029197217957697485572072074 y[1] (numeric) = -7.5643029195092196736517877967088 absolute error = 2.125760960967694104986e-10 relative error = 2.8102536129606461467655042823776e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3268 x[1] = -0.363 y[1] (analytic) = -7.5628965128018017818015373874073 y[1] (numeric) = -7.5628965125886576157764125701668 absolute error = 2.131441660251248172405e-10 relative error = 2.8182874863398334169713607217300e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3268 x[1] = -0.362 y[1] (analytic) = -7.5614902072492375649673995857783 y[1] (numeric) = -7.561490207035524953160865641174 absolute error = 2.137126118065339446043e-10 relative error = 2.8263292809881129073900897337106e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=152.5MB, alloc=4.5MB, time=16.73 Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3269 x[1] = -0.361 y[1] (analytic) = -7.5600840030658087600488897091002 y[1] (numeric) = -7.5600840028515273265529168996676 absolute error = 2.142814334959728094326e-10 relative error = 2.8343790017290306523658349186059e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3269 x[1] = -0.36 y[1] (analytic) = -7.5586779002532221356422187156251 y[1] (numeric) = -7.5586779000383715044937600455345 absolute error = 2.148506311484586700906e-10 relative error = 2.8424366533896224271259076677118e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3269 x[1] = -0.359 y[1] (analytic) = -7.557271898813185588302167139016 y[1] (numeric) = -7.5572718985977653834831170972554 absolute error = 2.154202048190500417606e-10 relative error = 2.8505022408004165254420580846292e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3269 x[1] = -0.358 y[1] (analytic) = -7.555865998747408142707313403534 y[1] (numeric) = -7.5558659985314179881444666917859 absolute error = 2.159901545628467117481e-10 relative error = 2.8585757687954365398032926101425e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.829 Order of pole = 0.3269 x[1] = -0.357 y[1] (analytic) = -7.5544602000575999518253859764212 y[1] (numeric) = -7.5544601998410394713903962216169 absolute error = 2.165604804349897548043e-10 relative error = 2.8666572422122041441662083576489e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.828 Order of pole = 0.3269 x[1] = -0.356 y[1] (analytic) = -7.5530545027454722970787394034539 y[1] (numeric) = -7.5530545025283411145880778549944 absolute error = 2.171311824906615484595e-10 relative error = 2.8747466658917418792125426914361e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.828 Order of pole = 0.327 x[1] = -0.355 y[1] (analytic) = -7.5516489068127375885099542736913 y[1] (numeric) = -7.5516489065950353277248684853202 absolute error = 2.177022607850857883711e-10 relative error = 2.8828440446785759401653585448277e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.828 Order of pole = 0.327 x[1] = -0.354 y[1] (analytic) = -7.5502434122611093649475611594807 y[1] (numeric) = -7.550243412042835649574033655796 absolute error = 2.182737153735275036847e-10 relative error = 2.8909493834207389671464895752058e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.828 Order of pole = 0.327 x[1] = -0.353 y[1] (analytic) = -7.5488380190923022941718885778219 y[1] (numeric) = -7.5488380188734567478605955054126 absolute error = 2.188455463112930724093e-10 relative error = 2.8990626869697728380909600089944e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.828 Order of pole = 0.327 x[1] = -0.352 y[1] (analytic) = -7.5474327273080321730810350192328 y[1] (numeric) = -7.5474327270886144194273047824273 absolute error = 2.194177536537302368055e-10 relative error = 2.9071839601807314642062923691462e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.828 Order of pole = 0.327 x[1] = -0.351 y[1] (analytic) = -7.5460275369100159278569650902997 y[1] (numeric) = -7.5460275366900255904007369715127 absolute error = 2.199903374562281187870e-10 relative error = 2.9153132079121835879831500353959e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.827 Order of pole = 0.3271 memory used=156.4MB, alloc=4.5MB, time=17.15 x[1] = -0.35 y[1] (analytic) = -7.5446224478999716141317298161356 y[1] (numeric) = -7.5446224476794083163575125808003 absolute error = 2.205632977742172353353e-10 relative error = 2.9234504350262155837584683633521e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.827 Order of pole = 0.3271 x[1] = -0.349 y[1] (analytic) = -7.543217460279618417153811149013 y[1] (numeric) = -7.5432174600584817824906416350833 absolute error = 2.211366346631695139297e-10 relative error = 2.9315956463884342608613940383547e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.827 Order of pole = 0.3271 x[1] = -0.348 y[1] (analytic) = -7.5418125740506766519545907294721 y[1] (numeric) = -7.5418125738289663037759924214834 absolute error = 2.217103481785983079887e-10 relative error = 2.9397488468679696692928400081710e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.827 Order of pole = 0.3271 x[1] = -0.347 y[1] (analytic) = -7.5404077892148677635149429462531 y[1] (numeric) = -7.5404077889925833251388845339272 absolute error = 2.222844383760584123259e-10 relative error = 2.9479100413374779079822221418421e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.827 Order of pole = 0.3271 x[1] = -0.346 y[1] (analytic) = -7.5390031057739143269319523414366 y[1] (numeric) = -7.5390031055510554216208062628173 absolute error = 2.228589053111460786193e-10 relative error = 2.9560792346731439356092973802464e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.827 Order of pole = 0.3271 x[1] = -0.345 y[1] (analytic) = -7.5375985237295400475857554072196 y[1] (numeric) = -7.5375985235061062985462563763252 absolute error = 2.234337490394990308944e-10 relative error = 2.9642564317546843839989043190304e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3272 x[1] = -0.344 y[1] (analytic) = -7.5361940430834697613065068207942 y[1] (numeric) = -7.5361940428594607916897103397736 absolute error = 2.240089696167964810206e-10 relative error = 2.9724416374653503740844753779647e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3272 x[1] = -0.343 y[1] (analytic) = -7.5347896638374294345414701638359 y[1] (numeric) = -7.5347896636128448674427110196151 absolute error = 2.245845670987591442208e-10 relative error = 2.9806348566919303344414912068227e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3272 x[1] = -0.342 y[1] (analytic) = -7.5333853859931461645222331731518 y[1] (numeric) = -7.5333853857679856229810839185563 absolute error = 2.251605415411492545955e-10 relative error = 2.9888360943247528224106326144902e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3272 x[1] = -0.341 y[1] (analytic) = -7.5319812095523481794320475690762 y[1] (numeric) = -7.5319812093266112864322769884166 absolute error = 2.257368929997705806596e-10 relative error = 2.9970453552576893477892558896386e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3272 x[1] = -0.34 y[1] (analytic) = -7.530577134516764838573293508245 y[1] (numeric) = -7.5305771342904512170428250673518 absolute error = 2.263136215304684408932e-10 relative error = 3.0052626443881571991109499432005e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3273 x[1] = -0.339 y[1] (analytic) = -7.5291731608881266325350687074191 y[1] (numeric) = -7.529173160661235905345938988113 absolute error = 2.268907271891297193061e-10 relative error = 3.0134879666171222725117114521857e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.5MB, time=17.57 WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.826 Order of pole = 0.3273 x[1] = -0.338 y[1] (analytic) = -7.5277692886681651833609022850682 y[1] (numeric) = -7.527769288440696973329219404053 absolute error = 2.274682100316828810152e-10 relative error = 3.0217213268491019031746288664659e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.825 Order of pole = 0.3273 x[1] = -0.337 y[1] (analytic) = -7.5263655178586132447165933674687 y[1] (numeric) = -7.5263655176305671746024953796318 absolute error = 2.280460701140979878369e-10 relative error = 3.0299627299921676993834841945334e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.825 Order of pole = 0.3273 x[1] = -0.336 y[1] (analytic) = -7.5249618484612047020581745061068 y[1] (numeric) = -7.5249618482325803945657877922154 absolute error = 2.286243074923867138914e-10 relative error = 3.0382121809579483791466224653993e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.825 Order of pole = 0.3273 x[1] = -0.335 y[1] (analytic) = -7.5235582804776745727999999532233 y[1] (numeric) = -7.5235582802484716505773975920014 absolute error = 2.292029222226023612219e-10 relative error = 3.0464696846616326094334586683420e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.825 Order of pole = 0.3273 x[1] = -0.334 y[1] (analytic) = -7.5221548139097590064829588423747 y[1] (numeric) = -7.5221548136799770921221189669473 absolute error = 2.297819143608398754274e-10 relative error = 3.0547352460219718480088896887764e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.825 Order of pole = 0.3274 x[1] = -0.333 y[1] (analytic) = -7.5207514487591952849428133209249 y[1] (numeric) = -7.5207514485288340009795774596166 absolute error = 2.303612839632358613083e-10 relative error = 3.0630088699612831878575039668668e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.825 Order of pole = 0.3274 x[1] = -0.332 y[1] (analytic) = -7.5193481850277218224786616814262 y[1] (numeric) = -7.5193481847967807913926930829004 absolute error = 2.309410310859685985258e-10 relative error = 3.0712905614054522042134066810599e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.824 Order of pole = 0.3274 x[1] = -0.331 y[1] (analytic) = -7.5179450227170781660215265388886 y[1] (numeric) = -7.517945022485557010236268481612 absolute error = 2.315211557852580572766e-10 relative error = 3.0795803252839358042181515674586e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.824 Order of pole = 0.3274 x[1] = -0.33 y[1] (analytic) = -7.5165419618290049953030681009731 y[1] (numeric) = -7.5165419615969033371857021869944 absolute error = 2.321016581173659139787e-10 relative error = 3.0878781665297650791534702590931e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.824 Order of pole = 0.3274 x[1] = -0.329 y[1] (analytic) = -7.5151390023652441230244225781921 y[1] (numeric) = -7.5151390021325615848858270112194 absolute error = 2.326825381385955669727e-10 relative error = 3.0961840900795481593098450096079e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.824 Order of pole = 0.3275 x[1] = -0.328 y[1] (analytic) = -7.5137361443275384950251657812376 y[1] (numeric) = -7.5137361440942746991198736290008 absolute error = 2.332637959052921522368e-10 relative error = 3.1044981008734730714695452479398e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=164.0MB, alloc=4.5MB, time=18.00 Complex estimate of poles used Radius of convergence = 9.824 Order of pole = 0.3275 x[1] = -0.327 y[1] (analytic) = -7.5123333877176321904524019525966 y[1] (numeric) = -7.5123333874837867589785593934829 absolute error = 2.338454314738425591137e-10 relative error = 3.1128202038553105989827153917571e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.824 Order of pole = 0.3275 x[1] = -0.326 y[1] (analytic) = -7.5109307325372704219299778796622 y[1] (numeric) = -7.5109307323028429770293024336083 absolute error = 2.344274449006754460539e-10 relative error = 3.1211504039724171444989460373570e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.823 Order of pole = 0.3275 x[1] = -0.325 y[1] (analytic) = -7.5095281787881995357278223365796 y[1] (numeric) = -7.5095281785531896994855610802091 absolute error = 2.350098362422612563705e-10 relative error = 3.1294887061757375952916785522022e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.823 Order of pole = 0.3275 x[1] = -0.324 y[1] (analytic) = -7.5081257264721670119314109021159 y[1] (numeric) = -7.5081257262365744063762986681074 absolute error = 2.355926055551122340085e-10 relative error = 3.1378351154198081912179177219888e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.823 Order of pole = 0.3275 x[1] = -0.323 y[1] (analytic) = -7.5067233755909214646113562008804 y[1] (numeric) = -7.506723375354745711715573761552 absolute error = 2.361757528957824393284e-10 relative error = 3.1461896366627593953131610634743e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.823 Order of pole = 0.3276 x[1] = -0.322 y[1] (analytic) = -7.5053211261462126419931236152615 y[1] (numeric) = -7.505321125909453363672255850359 absolute error = 2.367592783208677649025e-10 relative error = 3.1545522748663187670027987622421e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.823 Order of pole = 0.3276 x[1] = -0.321 y[1] (analytic) = -7.5039189781397914266268725154925 y[1] (numeric) = -7.5039189779024482447398665641664 absolute error = 2.373431818870059513261e-10 relative error = 3.1629230349958138379618492944106e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.823 Order of pole = 0.3276 x[1] = -0.32 y[1] (analytic) = -7.5025169315734098355574230552935 y[1] (numeric) = -7.5025169313354823719065464522525 absolute error = 2.379274636508766030410e-10 relative error = 3.1713019220201749905909638240233e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.822 Order of pole = 0.3276 x[1] = -0.319 y[1] (analytic) = -7.5011149864488210204943485805855 y[1] (numeric) = -7.5011149862103088968251473764108 absolute error = 2.385121236692012041747e-10 relative error = 3.1796889409119383391565715414297e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.822 Order of pole = 0.3276 x[1] = -0.318 y[1] (analytic) = -7.4997131427677792679821936988053 y[1] (numeric) = -7.4997131425286821059834505644142 absolute error = 2.390971619987431343911e-10 relative error = 3.1880840966472486135417714075203e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.822 Order of pole = 0.3276 x[1] = -0.317 y[1] (analytic) = -7.498311400532039999570818056401 y[1] (numeric) = -7.4983114002923574208745103716434 absolute error = 2.396825786963076847576e-10 relative error = 3.1964873942058620456758554772417e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=167.8MB, alloc=4.5MB, time=18.41 Complex estimate of poles used Radius of convergence = 9.822 Order of pole = 0.3277 x[1] = -0.316 y[1] (analytic) = -7.4969097597433597719858658721188 y[1] (numeric) = -7.4969097595030913981671237984955 absolute error = 2.402683738187420736233e-10 relative error = 3.2048988385711492585743933764481e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.822 Order of pole = 0.3277 x[1] = -0.315 y[1] (analytic) = -7.4955082204034962772993612737433 y[1] (numeric) = -7.4955082201626417298764258112301 absolute error = 2.408545474229354625132e-10 relative error = 3.2133184347300981580577860794896e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.822 Order of pole = 0.3277 x[1] = -0.314 y[1] (analytic) = -7.4941067825142083431004294859872 y[1] (numeric) = -7.4941067822727672435346105139523 absolute error = 2.414410995658189720349e-10 relative error = 3.2217461876733168271042095774892e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.821 Order of pole = 0.3277 x[1] = -0.313 y[1] (analytic) = -7.4927054460772559326661439172716 y[1] (numeric) = -7.4927054458352279023617782194721 absolute error = 2.420280303043656977995e-10 relative error = 3.2301821023950364228622028056951e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.821 Order of pole = 0.3277 x[1] = -0.312 y[1] (analytic) = -7.4913042110944001451324991931804 y[1] (numeric) = -7.4913042108517848054369084668231 absolute error = 2.426153396955907263573e-10 relative error = 3.2386261838931140763335072110201e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.821 Order of pole = 0.3278 x[1] = -0.311 y[1] (analytic) = -7.4899030775674032156655101844083 y[1] (numeric) = -7.4899030773242001878689590332634 absolute error = 2.432030277965511511449e-10 relative error = 3.2470784371690357946833748890364e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.821 Order of pole = 0.3278 x[1] = -0.31 y[1] (analytic) = -7.4885020454980285156324370770727 y[1] (numeric) = -7.4885020452542374209680909886234 absolute error = 2.437910946643460884493e-10 relative error = 3.2555388672279193662556813344634e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.821 Order of pole = 0.3278 x[1] = -0.309 y[1] (analytic) = -7.4871011148880405527731365332903 y[1] (numeric) = -7.4871011146436610124170198399074 absolute error = 2.443795403561166933829e-10 relative error = 3.2640074790785172682140247701195e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.821 Order of pole = 0.3278 x[1] = -0.308 y[1] (analytic) = -7.4857002857392049713715389899725 y[1] (numeric) = -7.4857002854942366064424928140974 absolute error = 2.449683649290461758751e-10 relative error = 3.2724842777332195768875087915279e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3278 x[1] = -0.307 y[1] (analytic) = -7.4842995580532885524272521438233 y[1] (numeric) = -7.4842995578077309839868923271483 absolute error = 2.455575684403598166750e-10 relative error = 3.2809692682080568807503752057102e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3278 x[1] = -0.306 y[1] (analytic) = -7.482898931832059213827290670577 y[1] (numeric) = -7.4828989315859120628799656872061 absolute error = 2.461471509473249833709e-10 relative error = 3.2894624555227031961142213741255e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=171.6MB, alloc=4.5MB, time=18.83 Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3279 x[1] = -0.305 y[1] (analytic) = -7.4814984070772860105179322265435 y[1] (numeric) = -7.4814984068305488980106810801227 absolute error = 2.467371125072511464208e-10 relative error = 3.2979638447004788854579406695459e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3279 x[1] = -0.304 y[1] (analytic) = -7.4800979837907391346766997805808 y[1] (numeric) = -7.4800979835434116814992098853815 absolute error = 2.473274531774898951993e-10 relative error = 3.3064734407683535784701420728556e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3279 x[1] = -0.303 y[1] (analytic) = -7.478697661974189915884470324648 y[1] (numeric) = -7.4786976617262717428690353705908 absolute error = 2.479181730154349540572e-10 relative error = 3.3149912487569490957572368854117e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3279 x[1] = -0.302 y[1] (analytic) = -7.4772974416294108212977100111378 y[1] (numeric) = -7.4772974413809015492191878127432 absolute error = 2.485092720785221983946e-10 relative error = 3.3235172737005423752304914562367e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.82 Order of pole = 0.3279 x[1] = -0.301 y[1] (analytic) = -7.4758973227581754558208357652301 y[1] (numeric) = -7.4758973225090747053966060944814 absolute error = 2.491007504242296707487e-10 relative error = 3.3320515206370684011907141754258e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 x[1] = -0.3 y[1] (analytic) = -7.474497305362258562278703420548 y[1] (numeric) = -7.4744973051125659541686258236519 absolute error = 2.496926081100775968961e-10 relative error = 3.3405939946081231361105414949687e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 x[1] = -0.299 y[1] (analytic) = -7.4730973894434360215892224264382 y[1] (numeric) = -7.4730973891931511763955940244709 absolute error = 2.502848451936284019673e-10 relative error = 3.3491447006589664550861857729992e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 x[1] = -0.298 y[1] (analytic) = -7.4716975750034848529360971752449 y[1] (numeric) = -7.4716975747526073912036104486681 absolute error = 2.508774617324867265768e-10 relative error = 3.3577036438385250830067523352457e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 x[1] = -0.297 y[1] (analytic) = -7.4702978620441832139416949979818 y[1] (numeric) = -7.4702978617927127561573955550154 absolute error = 2.514704577842994429664e-10 relative error = 3.3662708291993955344116633412392e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 x[1] = -0.296 y[1] (analytic) = -7.4688982505673104008400408768544 y[1] (numeric) = -7.4688982503152465674332852056913 absolute error = 2.520638334067556711631e-10 relative error = 3.3748462617978470560575584028715e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.819 Order of pole = 0.328 x[1] = -0.295 y[1] (analytic) = -7.4674987405746468486499389231205 y[1] (numeric) = -7.467498740321989259992352127971 absolute error = 2.526575886575867951495e-10 relative error = 3.3834299466938245721692030539975e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=175.4MB, alloc=4.5MB, time=19.26 Complex estimate of poles used Radius of convergence = 9.818 Order of pole = 0.3281 x[1] = -0.294 y[1] (analytic) = -7.4660993320679741313482206688272 y[1] (numeric) = -7.4660993318147224077536541897772 absolute error = 2.532517235945664790500e-10 relative error = 3.3920218889509516324212237831925e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.818 Order of pole = 0.3281 x[1] = -0.293 y[1] (analytic) = -7.4647000250490749620431202209961 y[1] (numeric) = -7.4647000247952287237676095376658 absolute error = 2.538462382755106833303e-10 relative error = 3.4006220936365333626198584057925e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.818 Order of pole = 0.3281 x[1] = -0.292 y[1] (analytic) = -7.4633008195197331931477763268755 y[1] (numeric) = -7.4633008192652920603894986458651 absolute error = 2.544411327582776810104e-10 relative error = 3.4092305658215594180900402327610e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.818 Order of pole = 0.3281 x[1] = -0.291 y[1] (analytic) = -7.4619017154817338165538613989202 y[1] (numeric) = -7.4619017152266974094530933250276 absolute error = 2.550364071007680738926e-10 relative error = 3.4178473105807069397905631858330e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.818 Order of pole = 0.3281 x[1] = -0.29 y[1] (analytic) = -7.4605027129368629638053375481991 y[1] (numeric) = -7.4605027126812309024444127393963 absolute error = 2.556320613609248088028e-10 relative error = 3.4264723329923435131372154606549e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.818 Order of pole = 0.3282 x[1] = -0.289 y[1] (analytic) = -7.4591038118869079062723396749758 y[1] (numeric) = -7.4591038116306798106756064811297 absolute error = 2.562280955967331938461e-10 relative error = 3.4351056381385301295499354127282e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.817 Order of pole = 0.3282 x[1] = -0.288 y[1] (analytic) = -7.4577050123336570553251856652467 y[1] (numeric) = -7.4577050120768325454589647505707 absolute error = 2.568245098662209146760e-10 relative error = 3.4437472311050241507172710912100e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.817 Order of pole = 0.3282 x[1] = -0.287 y[1] (analytic) = -7.4563063142788999625085137420675 y[1] (numeric) = -7.4563063140214786582810556912884 absolute error = 2.574213042274580507791e-10 relative error = 3.4523971169812822756062834466812e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.817 Order of pole = 0.3282 x[1] = -0.286 y[1] (analytic) = -7.4549077177244273197155470205353 y[1] (numeric) = -7.4549077174664088409769899287632 absolute error = 2.580184787385570917721e-10 relative error = 3.4610553008604635101776630372990e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.817 Order of pole = 0.3282 x[1] = -0.285 y[1] (analytic) = -7.4535092226720309593624853153415 y[1] (numeric) = -7.4535092224134149259048123616273 absolute error = 2.586160334576729537142e-10 relative error = 3.4697217878394321398502924780615e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.817 Order of pole = 0.3282 x[1] = -0.284 y[1] (analytic) = -7.4521108291235038545630242498481 y[1] (numeric) = -7.4521108288642898861200212544161 absolute error = 2.592139684430029954320e-10 relative error = 3.4783965830187607046790380567272e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.817 Order of pole = 0.3283 x[1] = -0.283 memory used=179.2MB, alloc=4.5MB, time=19.70 y[1] (analytic) = -7.4507125370806401193030017156886 y[1] (numeric) = -7.4507125368208278355502146808274 absolute error = 2.598122837527870348612e-10 relative error = 3.4870796915027329773061334784143e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.816 Order of pole = 0.3283 x[1] = -0.282 y[1] (analytic) = -7.4493143465452350086151717319276 y[1] (numeric) = -7.4493143462848240291698643665283 absolute error = 2.604109794453073653993e-10 relative error = 3.4957711183993469436110252647777e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.816 Order of pole = 0.3283 x[1] = -0.281 y[1] (analytic) = -7.4479162575190849187541057528661 y[1] (numeric) = -7.4479162572580748631752169805913 absolute error = 2.610100555788887722748e-10 relative error = 3.5044708688203177861351556469737e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.816 Order of pole = 0.3283 x[1] = -0.28 y[1] (analytic) = -7.4465182700039873873712214736132 y[1] (numeric) = -7.4465182697423778751593229246838 absolute error = 2.616095122118985489294e-10 relative error = 3.5131789478810808702374106757537e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.816 Order of pole = 0.3283 x[1] = -0.279 y[1] (analytic) = -7.4451203840017410936899391825931 y[1] (numeric) = -7.4451203837395317442871926691788 absolute error = 2.622093494027465134143e-10 relative error = 3.5218953607007947329976790560457e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.816 Order of pole = 0.3284 x[1] = -0.278 y[1] (analytic) = -7.4437225995141458586809657101953 y[1] (numeric) = -7.4437225992513362914710806853942 absolute error = 2.628095672098850248011e-10 relative error = 3.5306201124023440748779318035060e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.816 Order of pole = 0.3284 x[1] = -0.277 y[1] (analytic) = -7.4423249165430026452377060228209 y[1] (numeric) = -7.4423249162795924795458970232138 absolute error = 2.634101656918089996071e-10 relative error = 3.5393532081123427541408401542162e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.815 Order of pole = 0.3284 x[1] = -0.276 y[1] (analytic) = -7.4409273350901135583518025116168 y[1] (numeric) = -7.4409273348261024134447465833831 absolute error = 2.640111449070559282337e-10 relative error = 3.5480946529611367840111649361110e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.815 Order of pole = 0.3284 x[1] = -0.275 y[1] (analytic) = -7.4395298551572818452888020252367 y[1] (numeric) = -7.439529854892669340374596133817 absolute error = 2.646125049142058914197e-10 relative error = 3.5568444520828073326067965740739e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.815 Order of pole = 0.3284 x[1] = -0.274 y[1] (analytic) = -7.4381324767463118957639506960082 y[1] (numeric) = -7.4381324764810976499920691192987 absolute error = 2.652142457718815767095e-10 relative error = 3.5656026106151737256421645353058e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.815 Order of pole = 0.3284 x[1] = -0.273 y[1] (analytic) = -7.4367351998590092421181166089243 y[1] (numeric) = -7.4367351995931928745793683139906 absolute error = 2.658163675387482949337e-10 relative error = 3.5743691336997964518731210552016e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.815 Order of pole = 0.3285 x[1] = -0.272 y[1] (analytic) = -7.4353380244971805594938403629281 y[1] (numeric) = -7.4353380242307616892203263662229 absolute error = 2.664188702735139967052e-10 relative error = 3.5831440264819801713276723985738e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=183.1MB, alloc=4.5MB, time=20.12 Complex estimate of poles used Radius of convergence = 9.815 Order of pole = 0.3285 x[1] = -0.271 y[1] (analytic) = -7.4339409506626336660115135739953 y[1] (numeric) = -7.4339409503956119119765842850655 absolute error = 2.670217540349292889298e-10 relative error = 3.5919272941107767263118440410870e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.814 Order of pole = 0.3285 x[1] = -0.27 y[1] (analytic) = -7.4325439783571775229456853695636 y[1] (numeric) = -7.4325439780895525040638979182338 absolute error = 2.676250188817874513298e-10 relative error = 3.6007189417389881551732217166351e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.814 Order of pole = 0.3285 x[1] = -0.269 y[1] (analytic) = -7.4311471075826222349014969239033 y[1] (numeric) = -7.4311471073143935700285724709204 absolute error = 2.682286648729244529829e-10 relative error = 3.6095189745231697088558189845510e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.814 Order of pole = 0.3285 x[1] = -0.268 y[1] (analytic) = -7.4297503383407790499912440840618 y[1] (numeric) = -7.4297503380719463579240251151872 absolute error = 2.688326920672189688746e-10 relative error = 3.6183273976236328702247878821613e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.814 Order of pole = 0.3286 x[1] = -0.267 y[1] (analytic) = -7.4283536706334603600110681360622 y[1] (numeric) = -7.4283536703640232594874757395969 absolute error = 2.694371005235923964653e-10 relative error = 3.6271442162044483761798415519332e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.814 Order of pole = 0.3286 x[1] = -0.266 y[1] (analytic) = -7.4269571044624797006177747610748 y[1] (numeric) = -7.4269571041924378103167658888028 absolute error = 2.700418903010088722720e-10 relative error = 3.6359694354334492425587811601673e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.814 Order of pole = 0.3286 x[1] = -0.265 y[1] (analytic) = -7.425560639829651751505781231325 y[1] (numeric) = -7.4255606395590046900473059428618 absolute error = 2.706470614584752884632e-10 relative error = 3.6448030604822337918150132623759e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.813 Order of pole = 0.3286 x[1] = -0.264 y[1] (analytic) = -7.4241642767367923365841918955446 y[1] (numeric) = -7.424164276465539722529150586076 absolute error = 2.712526140550413094686e-10 relative error = 3.6536450965261686834933269512653e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.813 Order of pole = 0.3286 x[1] = -0.263 y[1] (analytic) = -7.4227680151857184241540020038159 y[1] (numeric) = -7.4227680149138598760042026152114 absolute error = 2.718585481497993886045e-10 relative error = 3.6624955487443919475188050444811e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.813 Order of pole = 0.3286 x[1] = -0.262 y[1] (analytic) = -7.4213718551782481270854299216971 y[1] (numeric) = -7.421371854905783263283545136987 absolute error = 2.724648638018847847101e-10 relative error = 3.6713544223198160202369595828030e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.813 Order of pole = 0.3287 x[1] = -0.261 y[1] (analytic) = -7.4199757967162007029953777835703 y[1] (numeric) = -7.419975796443129141924902204768 absolute error = 2.730715610704755788023e-10 relative error = 3.6802217224391307833102039999693e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=186.9MB, alloc=4.5MB, time=20.55 Complex estimate of poles used Radius of convergence = 9.813 Order of pole = 0.3287 x[1] = -0.26 y[1] (analytic) = -7.4185798398013965544250206351824 y[1] (numeric) = -7.4185798395277179144102279444412 absolute error = 2.736786400147926907412e-10 relative error = 3.6890974542928066053683445080460e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.813 Order of pole = 0.3287 x[1] = -0.259 y[1] (analytic) = -7.4171839844356572290175241154059 y[1] (numeric) = -7.4171839841613711283234242194935 absolute error = 2.742861006940998959124e-10 relative error = 3.6979816230750973864980206694252e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.812 Order of pole = 0.3287 x[1] = -0.258 y[1] (analytic) = -7.4157882306208054196958907272791 y[1] (numeric) = -7.4157882303459114765281868853571 absolute error = 2.748939431677038419220e-10 relative error = 3.7068742339840436055186074755997e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.812 Order of pole = 0.3287 x[1] = -0.257 y[1] (analytic) = -7.4143925783586649648409347484355 y[1] (numeric) = -7.4143925780831627973459806831281 absolute error = 2.755021674949540653074e-10 relative error = 3.7157752922214753700891194563549e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.812 Order of pole = 0.3287 x[1] = -0.256 y[1] (analytic) = -7.4129970276510608484693858310696 y[1] (numeric) = -7.4129970273749500747341428228085 absolute error = 2.761107737352430082611e-10 relative error = 3.7246848029930154696111333188253e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.812 Order of pole = 0.3288 x[1] = -0.255 y[1] (analytic) = -7.411601578499819200412121341634 y[1] (numeric) = -7.4116015782230994384641153062646 absolute error = 2.767197619480060353694e-10 relative error = 3.7336027715080824309561058359555e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.812 Order of pole = 0.3288 x[1] = -0.254 y[1] (analytic) = -7.4102062309067672964925274905035 y[1] (numeric) = -7.4102062306294381642998060401374 absolute error = 2.773291321927214503661e-10 relative error = 3.7425292029798935770212144611685e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.811 Order of pole = 0.3288 x[1] = -0.253 y[1] (analytic) = -7.4088109848737335587049893018845 y[1] (numeric) = -7.4088109845957946741760787889848 absolute error = 2.779388845289105128997e-10 relative error = 3.7514641026254680880962572775520e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.811 Order of pole = 0.3288 x[1] = -0.252 y[1] (analytic) = -7.4074158404025475553935094742929 y[1] (numeric) = -7.4074158401239985363773720189773 absolute error = 2.785490190161374553156e-10 relative error = 3.7604074756656300660646213498519e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.811 Order of pole = 0.3288 x[1] = -0.251 y[1] (analytic) = -7.406020797495040001430456181965 y[1] (numeric) = -7.4060207972158804657164466825133 absolute error = 2.791595357140094994517e-10 relative error = 3.7693593273250116014195042105839e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.811 Order of pole = 0.3288 x[1] = -0.25 y[1] (analytic) = -7.4046258561530427583954398676124 y[1] (numeric) = -7.4046258558732723237132629941626 absolute error = 2.797704346821768734498e-10 relative error = 3.7783196628320558431305639564363e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=190.7MB, alloc=4.5MB, time=20.98 Complex estimate of poles used Radius of convergence = 9.811 Order of pole = 0.3289 x[1] = -0.249 y[1] (analytic) = -7.4032310163783888347543190769709 y[1] (numeric) = -7.4032310160980071187739862483898 absolute error = 2.803817159803328285811e-10 relative error = 3.7872884874190200713408440488047e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.811 Order of pole = 0.3289 x[1] = -0.248 y[1] (analytic) = -7.4018362781729123860383353856385 y[1] (numeric) = -7.4018362778919190063701217295538 absolute error = 2.809933796682136560847e-10 relative error = 3.7962658063219787728818934371555e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.81 Order of pole = 0.3289 x[1] = -0.247 y[1] (analytic) = -7.4004416415384487150233774687435 y[1] (numeric) = -7.4004416412568432892177787647208 absolute error = 2.816054258055987040227e-10 relative error = 3.8052516247808267196584929525347e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.81 Order of pole = 0.3289 x[1] = -0.246 y[1] (analytic) = -7.3990471064768342719093743640224 y[1] (numeric) = -7.3990471061946164174570639698742 absolute error = 2.822178544523103941482e-10 relative error = 3.8142459480392820498558139036627e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.81 Order of pole = 0.3289 x[1] = -0.245 y[1] (analytic) = -7.3976526729899066544998179789335 y[1] (numeric) = -7.3976526727070759888316037401453 absolute error = 2.828306656682142387882e-10 relative error = 3.8232487813448893519988139398160e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.81 Order of pole = 0.329 x[1] = -0.244 y[1] (analytic) = -7.3962583410795046083814148924765 y[1] (numeric) = -7.3962583407960607488681960347351 absolute error = 2.834438595132188577414e-10 relative error = 3.8322601299490227518666783141132e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.81 Order of pole = 0.329 x[1] = -0.243 y[1] (analytic) = -7.3948641107474680271038675024282 y[1] (numeric) = -7.3948641104634105910565915072381 absolute error = 2.840574360472759951901e-10 relative error = 3.8412799991068890022542994039876e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.81 Order of pole = 0.329 x[1] = -0.242 y[1] (analytic) = -7.3934699819956379523597845687506 y[1] (numeric) = -7.3934699817109665570294040321247 absolute error = 2.846713953303805366259e-10 relative error = 3.8503083940775305755795367965791e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.809 Order of pole = 0.329 x[1] = -0.241 y[1] (analytic) = -7.3920759548258565741647212039725 y[1] (numeric) = -7.3920759545405708367421506781805 absolute error = 2.852857374225705257920e-10 relative error = 3.8593453201238287593769339558577e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.809 Order of pole = 0.329 x[1] = -0.24 y[1] (analytic) = -7.3906820292399672310373483613834 y[1] (numeric) = -7.3906820289540667686534211797462 absolute error = 2.859004623839271816372e-10 relative error = 3.8683907825125067546144424277069e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.809 Order of pole = 0.329 x[1] = -0.239 y[1] (analytic) = -7.3892882052398144101797518719302 y[1] (numeric) = -7.3892882049532988399051769566435 absolute error = 2.865155702745749152867e-10 relative error = 3.8774447865141327769049386175299e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.809 Order of pole = 0.3291 memory used=194.5MB, alloc=4.5MB, time=21.40 x[1] = -0.238 y[1] (analytic) = -7.3878944828272437476578610807431 y[1] (numeric) = -7.3878944825401126865031797337169 absolute error = 2.871310611546813470262e-10 relative error = 3.8865073374031231605680186851712e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.809 Order of pole = 0.3291 x[1] = -0.237 y[1] (analytic) = -7.3865008620041020285820071342668 y[1] (numeric) = -7.3865008617163550934975498109655 absolute error = 2.877469350844573233013e-10 relative error = 3.8955784404577454655719488564030e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.809 Order of pole = 0.3291 x[1] = -0.236 y[1] (analytic) = -7.3851073427722371872876109690119 y[1] (numeric) = -7.3851073424838739951634540352811 absolute error = 2.883631921241569337308e-10 relative error = 3.9046581009601215873396537566722e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.808 Order of pole = 0.3291 x[1] = -0.235 y[1] (analytic) = -7.3837139251334983075160010529881 y[1] (numeric) = -7.3837139248445184751819235248534 absolute error = 2.889798323340775281347e-10 relative error = 3.9137463241962308694323951369413e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.808 Order of pole = 0.3291 x[1] = -0.234 y[1] (analytic) = -7.3823206090897356225953609309248 y[1] (numeric) = -7.3823206088001387668208011973473 absolute error = 2.895968557745597335775e-10 relative error = 3.9228431154559132191221035987675e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.808 Order of pole = 0.3291 x[1] = -0.233 y[1] (analytic) = -7.3809273946428005156218066244249 y[1] (numeric) = -7.3809273943525862531158191529998 absolute error = 2.902142625059874714251e-10 relative error = 3.9319484800328722258321798774930e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.808 Order of pole = 0.3292 x[1] = -0.232 y[1] (analytic) = -7.379534281794545519640593938245 y[1] (numeric) = -7.3795342815037134670518059638288 absolute error = 2.908320525887879744162e-10 relative error = 3.9410624232246782824617831248056e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.808 Order of pole = 0.3292 x[1] = -0.231 y[1] (analytic) = -7.3781412705468243178274557239387 y[1] (numeric) = -7.3781412702553740917440239201891 absolute error = 2.914502260834318037496e-10 relative error = 3.9501849503327717096154218851658e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.808 Order of pole = 0.3292 x[1] = -0.23 y[1] (analytic) = -7.3767483609014917436700691521406 y[1] (numeric) = -7.3767483606094229606196362859555 absolute error = 2.920687830504328661851e-10 relative error = 3.9593160666624658827095376042993e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.807 Order of pole = 0.3292 x[1] = -0.229 y[1] (analytic) = -7.375355552860403781149653044815 y[1] (numeric) = -7.3753555525677160575993046136561 absolute error = 2.926877235503484311589e-10 relative error = 3.9684557775229503619711142576743e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.807 Order of pole = 0.3292 x[1] = -0.228 y[1] (analytic) = -7.373962846425417564922695318837 y[1] (numeric) = -7.3739628461321105172789161709231 absolute error = 2.933070476437791479139e-10 relative error = 3.9776040882272940253365885788781e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.807 Order of pole = 0.3292 x[1] = -0.227 y[1] (analytic) = -7.3725702415983913805028105923173 y[1] (numeric) = -7.372570241304464625111441529672 absolute error = 2.939267553913690626453e-10 relative error = 3.9867610040924482042593466570106e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=198.3MB, alloc=4.5MB, time=21.83 Complex estimate of poles used Radius of convergence = 9.807 Order of pole = 0.3293 x[1] = -0.226 y[1] (analytic) = -7.3711777383811846644427280051242 y[1] (numeric) = -7.3711777380866378175889223694647 absolute error = 2.945468468538056356595e-10 relative error = 3.9959265304392498224015447289153e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.807 Order of pole = 0.3293 x[1] = -0.225 y[1] (analytic) = -7.369785336775658004516409305104 y[1] (numeric) = -7.3697853364804906824245895465548 absolute error = 2.951673220918197585492e-10 relative error = 4.0051006725924245372524417884496e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.807 Order of pole = 0.3293 x[1] = -0.224 y[1] (analytic) = -7.3683930367836731399012972515398 y[1] (numeric) = -7.368393036487884958735111480159 absolute error = 2.957881811661857713808e-10 relative error = 4.0142834358805898846232081298934e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.806 Order of pole = 0.3293 x[1] = -0.223 y[1] (analytic) = -7.3670008384070929613606943874407 y[1] (numeric) = -7.3670008381106835372229729075406 absolute error = 2.964094241377214799001e-10 relative error = 4.0234748256362584261024801122387e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.806 Order of pole = 0.3293 x[1] = -0.222 y[1] (analytic) = -7.365608741647781511426272232286 y[1] (numeric) = -7.3656087413507504603589840595369 absolute error = 2.970310510672881727491e-10 relative error = 4.0326748471958408993778463802450e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.806 Order of pole = 0.3293 x[1] = -0.221 y[1] (analytic) = -7.3642167465076039845807109469054 y[1] (numeric) = -7.3642167462099509225649203082056 absolute error = 2.976530620157906386998e-10 relative error = 4.0418835058996493715061933725474e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.806 Order of pole = 0.3294 x[1] = -0.22 y[1] (analytic) = -7.3628248529884267274404695222102 y[1] (numeric) = -7.3628248526901512703962923383087 absolute error = 2.982754570441771839015e-10 relative error = 4.0511008070919003950882937650175e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.806 Order of pole = 0.3294 x[1] = -0.219 y[1] (analytic) = -7.3614330610921172389386865435416 y[1] (numeric) = -7.3614330607932190027252468943985 absolute error = 2.988982362134396491431e-10 relative error = 4.0603267561207181673708743324662e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.805 Order of pole = 0.3294 x[1] = -0.218 y[1] (analytic) = -7.3600413708205441705082115824432 y[1] (numeric) = -7.3600413705210227709235981553121 absolute error = 2.995213995846134271311e-10 relative error = 4.0695613583381376922885641348188e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.805 Order of pole = 0.3294 x[1] = -0.217 y[1] (analytic) = -7.3586497821755773262647672677076 y[1] (numeric) = -7.3586497818754323790459897879267 absolute error = 3.001449472187774797809e-10 relative error = 4.0788046191001079454160141692853e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.805 Order of pole = 0.3294 x[1] = -0.216 y[1] (analytic) = -7.3572582951590876631902420875951 y[1] (numeric) = -7.357258294858318784013187732072 absolute error = 3.007688791770543555231e-10 relative error = 4.0880565437664950418561607228440e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=202.1MB, alloc=4.5MB, time=22.26 Complex estimate of poles used Radius of convergence = 9.805 Order of pole = 0.3294 x[1] = -0.215 y[1] (analytic) = -7.3558669097729472913161139751647 y[1] (numeric) = -7.3558669094715540957955037685391 absolute error = 3.013931955206102066256e-10 relative error = 4.0973171377010854070784076034905e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.805 Order of pole = 0.3295 x[1] = -0.214 y[1] (analytic) = -7.3544756260190294739070047287006 y[1] (numeric) = -7.3544756257170115775963499221709 absolute error = 3.020178963106548065297e-10 relative error = 4.1065864062715889506851694171472e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.805 Order of pole = 0.3295 x[1] = -0.213 y[1] (analytic) = -7.353084443899208627644365319264 y[1] (numeric) = -7.3530844435965656460359237520634 absolute error = 3.026429816084415672006e-10 relative error = 4.1158643548496422431151036025260e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.804 Order of pole = 0.3295 x[1] = -0.212 y[1] (analytic) = -7.3516933634153603228102921374436 y[1] (numeric) = -7.3516933631120918713350245809498 absolute error = 3.032684514752675564938e-10 relative error = 4.1251509888108116953063328472715e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.804 Order of pole = 0.3295 x[1] = -0.211 y[1] (analytic) = -7.350302384569361283471474231421 y[1] (numeric) = -7.3503023842654669774990007158861 absolute error = 3.038943059724735155349e-10 relative error = 4.1344463135345967412885740180002e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.804 Order of pole = 0.3295 x[1] = -0.21 y[1] (analytic) = -7.3489115073630893876632715885157 y[1] (numeric) = -7.3489115070585688425018277123997 absolute error = 3.045205451614438761160e-10 relative error = 4.1437503344044330237506039323452e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.804 Order of pole = 0.3295 x[1] = -0.209 y[1] (analytic) = -7.3475207317984236675739245124117 y[1] (numeric) = -7.3475207314932764984703177343074 absolute error = 3.051471691036067781043e-10 relative error = 4.1530630568076955825261251228563e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.804 Order of pole = 0.3295 x[1] = -0.208 y[1] (analytic) = -7.3461300578772443097288941483228 y[1] (numeric) = -7.3461300575714701318684600614539 absolute error = 3.057741778604340868689e-10 relative error = 4.1623844861357020460825783993250e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.804 Order of pole = 0.3296 x[1] = -0.207 y[1] (analytic) = -7.3447394856014326551753342083851 y[1] (numeric) = -7.3447394852950310836818927976659 absolute error = 3.064015714934414107192e-10 relative error = 4.1717146277837158259260244876033e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.803 Order of pole = 0.3296 x[1] = -0.206 y[1] (analytic) = -7.3433490149728711996666939496224 y[1] (numeric) = -7.3433490146658418496025058312619 absolute error = 3.070293500641881183605e-10 relative error = 4.1810534871509493140012208854504e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.803 Order of pole = 0.3296 x[1] = -0.205 y[1] (analytic) = -7.3419586459934435938474524568653 y[1] (numeric) = -7.3419586456857860802131751005023 absolute error = 3.076575136342773563630e-10 relative error = 4.1904010696405670830381074881077e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=206.0MB, alloc=4.5MB, time=22.68 Complex estimate of poles used Radius of convergence = 9.803 Order of pole = 0.3296 x[1] = -0.204 y[1] (analytic) = -7.3405683786650346434379842830548 y[1] (numeric) = -7.3405683783567485811726282164083 absolute error = 3.082860622653560666465e-10 relative error = 4.1997573806596890898789391859063e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.803 Order of pole = 0.3296 x[1] = -0.203 y[1] (analytic) = -7.339178212989530309419556499404 y[1] (numeric) = -7.3391782126806153134004414954239 absolute error = 3.089149960191150039801e-10 relative error = 4.2091224256193938817794777627774e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.803 Order of pole = 0.3296 x[1] = -0.202 y[1] (analytic) = -7.3377881489688177082194572079343 y[1] (numeric) = -7.3377881486592733932621684544393 absolute error = 3.095443149572887534950e-10 relative error = 4.2184962099347218056612904805695e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.803 Order of pole = 0.3297 x[1] = -0.201 y[1] (analytic) = -7.3363981866047851118962555689527 y[1] (numeric) = -7.336398186294611092754599820738 absolute error = 3.101740191416557482147e-10 relative error = 4.2278787390246782203766768236921e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.802 Order of pole = 0.3297 x[1] = -0.2 y[1] (analytic) = -7.3350083258993219483251933960755 y[1] (numeric) = -7.335008325588517839691155109476 absolute error = 3.108041086340382865995e-10 relative error = 4.2372700183122367119469508414813e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.802 Order of pole = 0.3297 x[1] = -0.199 y[1] (analytic) = -7.3336185668543188013837083714495 y[1] (numeric) = -7.3336185665428842178874058213454 absolute error = 3.114345834963025501041e-10 relative error = 4.2466700532243423117606537980935e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.802 Order of pole = 0.3297 x[1] = -0.198 y[1] (analytic) = -7.3322289094716674111370889338714 y[1] (numeric) = -7.3322289091596019673467303131195 absolute error = 3.120654437903586207519e-10 relative error = 4.2560788491919147177837146315725e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.802 Order of pole = 0.3297 x[1] = -0.197 y[1] (analytic) = -7.3308393537532606740242608925458 y[1] (numeric) = -7.3308393534405639844461003938216 absolute error = 3.126966895781604987242e-10 relative error = 4.2654964116498515187599919355212e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.802 Order of pole = 0.3297 x[1] = -0.196 y[1] (analytic) = -7.3294498997009926430437058192677 y[1] (numeric) = -7.329449899387664322121999699304 absolute error = 3.133283209217061199637e-10 relative error = 4.2749227460370314213969695036071e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.801 Order of pole = 0.3297 x[1] = -0.195 y[1] (analytic) = -7.3280605473167585279395112718621 y[1] (numeric) = -7.3280605470027981900564738980695 absolute error = 3.139603378830373737926e-10 relative error = 4.2843578577963174805436498406634e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.801 Order of pole = 0.3298 x[1] = -0.194 y[1] (analytic) = -7.3266712966024546953875529017585 y[1] (numeric) = -7.3266712962878619548633127812113 absolute error = 3.145927405242401205472e-10 relative error = 4.2938017523745603323895374875137e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=209.8MB, alloc=4.5MB, time=23.11 Complex estimate of poles used Radius of convergence = 9.801 Order of pole = 0.3298 x[1] = -0.193 y[1] (analytic) = -7.3252821475599786691818084986196 y[1] (numeric) = -7.3252821472447531402743642893935 absolute error = 3.152255289074442092261e-10 relative error = 4.3032544352226014306481200858654e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.801 Order of pole = 0.3298 x[1] = -0.192 y[1] (analytic) = -7.3238931001912291304208040249914 y[1] (numeric) = -7.3238930998753704273259805298381 absolute error = 3.158587030948234951533e-10 relative error = 4.3127159117952762857455448610302e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.801 Order of pole = 0.3298 x[1] = -0.191 y[1] (analytic) = -7.3225041544981059176941916939888 y[1] (numeric) = -7.3225041541816136545455958363307 absolute error = 3.164922631485958576581e-10 relative error = 4.3221861875514177070434122620385e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.801 Order of pole = 0.3298 x[1] = -0.19 y[1] (analytic) = -7.3211153104825100272694601430675 y[1] (numeric) = -7.3211153101653838181384369253003 absolute error = 3.171262091310232177672e-10 relative error = 4.3316652679538590480358668320380e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.8 Order of pole = 0.3298 x[1] = -0.189 y[1] (analytic) = -7.3197265681463436132787767569908 y[1] (numeric) = -7.3197265678285830721743652010761 absolute error = 3.177605411044115559147e-10 relative error = 4.3411531584694374546017889412638e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.8 Order of pole = 0.3299 x[1] = -0.188 y[1] (analytic) = -7.3183379274915099879059621931315 y[1] (numeric) = -7.3183379271731147287748512634664 absolute error = 3.183952591311109296651e-10 relative error = 4.3506498645689971162481707814061e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.8 Order of pole = 0.3299 x[1] = -0.187 y[1] (analytic) = -7.3169493885199136215735971623048 y[1] (numeric) = -7.316949388200883258300081670853 absolute error = 3.190303632735154914518e-10 relative error = 4.3601553917273925203817967354699e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.8 Order of pole = 0.3299 x[1] = -0.186 y[1] (analytic) = -7.3155609512334601431302615183676 y[1] (numeric) = -7.3155609509137942895361980120361 absolute error = 3.196658535940635063315e-10 relative error = 4.3696697454234917096176973967378e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.8 Order of pole = 0.3299 x[1] = -0.185 y[1] (analytic) = -7.3141726156340563400379057098661 y[1] (numeric) = -7.3141726153137546098826683401131 absolute error = 3.203017301552373697530e-10 relative error = 4.3791929311401795421068811234083e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.8 Order of pole = 0.3299 x[1] = -0.184 y[1] (analytic) = -7.3127843817236101585593546470584 y[1] (numeric) = -7.3127843814026721655397910217184 absolute error = 3.209379930195636253400e-10 relative error = 4.3887249543643609548808613070448e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.799 Order of pole = 0.3299 x[1] = -0.183 y[1] (analytic) = -7.3113962495040307039459440376878 y[1] (numeric) = -7.3113962491824560616963310549957 absolute error = 3.215746422496129826921e-10 relative error = 4.3982658205869642302734079619201e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.799 Order of pole = 0.3299 memory used=213.6MB, alloc=4.5MB, time=23.53 x[1] = -0.182 y[1] (analytic) = -7.3100082189772282406252892449179 y[1] (numeric) = -7.3100082186550165627172889097214 absolute error = 3.222116779080003351965e-10 relative error = 4.4078155353029442653199882163219e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.799 Order of pole = 0.33 x[1] = -0.181 y[1] (analytic) = -7.3086202901451141923891867209016 y[1] (numeric) = -7.3086202898222650923318019430418 absolute error = 3.228491000573847778598e-10 relative error = 4.4173741040112858442664415602432e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.799 Order of pole = 0.33 x[1] = -0.18 y[1] (analytic) = -7.3072324630096011425816480694824 y[1] (numeric) = -7.3072324626861142338211784443328 absolute error = 3.234869087604696251496e-10 relative error = 4.4269415322150069140490383969550e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.799 Order of pole = 0.33 x[1] = -0.179 y[1] (analytic) = -7.305844737572602834287066791591 y[1] (numeric) = -7.3058447372484777302070643627347 absolute error = 3.241251040800024288563e-10 relative error = 4.4365178254211618628911944444674e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.798 Order of pole = 0.33 x[1] = -0.178 y[1] (analytic) = -7.3044571138360341705185177669287 y[1] (numeric) = -7.3044571135112704844397427709626 absolute error = 3.247636860787749959661e-10 relative error = 4.4461029891408448018967417831539e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.798 Order of pole = 0.33 x[1] = -0.177 y[1] (analytic) = -7.3030695918018112144061895255868 y[1] (numeric) = -7.3030695914764085595865661190358 absolute error = 3.254026548196234065510e-10 relative error = 4.4556970288891928497221279932565e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.798 Order of pole = 0.33 x[1] = -0.176 y[1] (analytic) = -7.3016821714718511893859493632909 y[1] (numeric) = -7.3016821711458091790205213316165 absolute error = 3.260420103654280316744e-10 relative error = 4.4652999501853894203114313504294e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.798 Order of pole = 0.33 x[1] = -0.175 y[1] (analytic) = -7.3002948528480724793880413540038 y[1] (numeric) = -7.3002948525213907266089278026934 absolute error = 3.266817527791135513104e-10 relative error = 4.4749117585526675136712052067924e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.798 Order of pole = 0.3301 x[1] = -0.174 y[1] (analytic) = -7.2989076359323946290259173136698 y[1] (numeric) = -7.2989076356050727469022683413906 absolute error = 3.273218821236489722792e-10 relative error = 4.4845324595183130097210413580168e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.798 Order of pole = 0.3301 x[1] = -0.173 y[1] (analytic) = -7.2975205207267383437852007689262 y[1] (numeric) = -7.2975205203987759453231531227289 absolute error = 3.279623984620476461973e-10 relative error = 4.4941620586136679652050933269198e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.797 Order of pole = 0.3301 x[1] = -0.172 y[1] (analytic) = -7.2961335072330254902127839846547 y[1] (numeric) = -7.2961335069044221883554166972111 absolute error = 3.286033018573672874436e-10 relative error = 4.5038005613741339136826708757619e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.797 Order of pole = 0.3301 x[1] = -0.171 y[1] (analytic) = -7.2947465954531790961060581042883 y[1] (numeric) = -7.2947465951239345037333481131489 memory used=217.4MB, alloc=4.5MB, time=23.95 absolute error = 3.292445923727099911394e-10 relative error = 4.5134479733391751685735469690930e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.797 Order of pole = 0.3301 x[1] = -0.17 y[1] (analytic) = -7.29335978538912335070227645684 y[1] (numeric) = -7.2933597850592370806310542056947 absolute error = 3.298862700712222511453e-10 relative error = 4.5231043000523221293021355556242e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.797 Order of pole = 0.3301 x[1] = -0.169 y[1] (analytic) = -7.2919730770427836048680510846593 y[1] (numeric) = -7.2919730767122552698519561065876 absolute error = 3.305283350160949780717e-10 relative error = 4.5327695470611745904983680483093e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.797 Order of pole = 0.3301 x[1] = -0.168 y[1] (analytic) = -7.2905864704160863712889825459735 y[1] (numeric) = -7.2905864700849155840184190286677 absolute error = 3.311707872705635173058e-10 relative error = 4.5424437199174050542980720671841e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.796 Order of pole = 0.3302 x[1] = -0.167 y[1] (analytic) = -7.2891999655109593246594230463123 y[1] (numeric) = -7.2891999651791456977615153792596 absolute error = 3.318136268979076670527e-10 relative error = 4.5521268241767620457130095306715e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.796 Order of pole = 0.3302 x[1] = -0.166 y[1] (analytic) = -7.2878135623293313018723729529632 y[1] (numeric) = -7.2878135619968744479109212565702 absolute error = 3.324568539614516963930e-10 relative error = 4.5618188653990734311065478198148e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.796 Order of pole = 0.3302 x[1] = -0.165 y[1] (analytic) = -7.286427260873132302209510746649 y[1] (numeric) = -7.2864272605400318336849463832944 absolute error = 3.331004685245643633546e-10 relative error = 4.5715198491482497397464876947867e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.796 Order of pole = 0.3302 x[1] = -0.164 y[1] (analytic) = -7.2850410611442934875313564646652 y[1] (numeric) = -7.2850410608105490168806975316645 absolute error = 3.337444706506589330007e-10 relative error = 4.5812297809922874884655520348529e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.796 Order of pole = 0.3302 x[1] = -0.163 y[1] (analytic) = -7.2836549631447471824675686897605 y[1] (numeric) = -7.2836549628103583220643754942284 absolute error = 3.343888604031931955321e-10 relative error = 4.5909486665032725094065400552020e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.796 Order of pole = 0.3302 x[1] = -0.162 y[1] (analytic) = -7.2822689668764268746073751390907 y[1] (numeric) = -7.2822689665413932367617056546851 absolute error = 3.350336378456694844056e-10 relative error = 4.6006765112573832808799236578187e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.795 Order of pole = 0.3302 x[1] = -0.161 y[1] (analytic) = -7.280883072341267214690136907621 y[1] (numeric) = -7.2808830720055884116485022131536 absolute error = 3.356788030416346944674e-10 relative error = 4.6104133208348942613218732225451e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.795 Order of pole = 0.3302 x[1] = -0.16 y[1] (analytic) = -7.2794972795412040167960464203976 y[1] (numeric) = -7.2794972792048796607413661202959 absolute error = 3.363243560546803001017e-10 relative error = 4.6201591008201792263585388991777e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=221.2MB, alloc=4.5MB, time=24.39 Complex estimate of poles used Radius of convergence = 9.795 Order of pole = 0.3303 x[1] = -0.159 y[1] (analytic) = -7.2781115884781742585369591481571 y[1] (numeric) = -7.278111588141203961588516774762 absolute error = 3.369702969484423733951e-10 relative error = 4.6299138568017146089879169441405e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.795 Order of pole = 0.3303 x[1] = -0.158 y[1] (analytic) = -7.2767259991541160812473591407851 y[1] (numeric) = -7.2767259988164994554607575384696 absolute error = 3.376166257866016023155e-10 relative error = 4.6396775943720828428645359349866e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.795 Order of pole = 0.3303 x[1] = -0.157 y[1] (analytic) = -7.2753405115709687901754584331859 y[1] (numeric) = -7.2753405112327054475425751242783 absolute error = 3.382633426328833089076e-10 relative error = 4.6494503191279757087189070793821e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.794 Order of pole = 0.3303 x[1] = -0.156 y[1] (analytic) = -7.2739551257306728546744303781661 y[1] (numeric) = -7.2739551253917624071233729106637 absolute error = 3.389104475510574675024e-10 relative error = 4.6592320366701976838791160918965e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.794 Order of pole = 0.3303 x[1] = -0.155 y[1] (analytic) = -7.2725698416351699083937769609859 y[1] (numeric) = -7.2725698412956119677888382380429 absolute error = 3.395579406049387229430e-10 relative error = 4.6690227526036692949292595213158e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.794 Order of pole = 0.3303 x[1] = -0.154 y[1] (analytic) = -7.2711846592864027494708301502744 y[1] (numeric) = -7.2711846589461969276124437414491 absolute error = 3.402058218583864088253e-10 relative error = 4.6788224725374304734885941808323e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.794 Order of pole = 0.3303 x[1] = -0.153 y[1] (analytic) = -7.2697995786863153407223873400538 y[1] (numeric) = -7.269799578345461249347082774299 absolute error = 3.408540913753045657548e-10 relative error = 4.6886312020846439151310068042210e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.794 Order of pole = 0.3304 x[1] = -0.152 y[1] (analytic) = -7.2684145998368528098364809376611 y[1] (numeric) = -7.2684145994953500606168389780432 absolute error = 3.415027492196419596179e-10 relative error = 4.6984489468625984414259167629286e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.794 Order of pole = 0.3304 x[1] = -0.151 y[1] (analytic) = -7.2670297227399614495642821524049 y[1] (numeric) = -7.2670297223978096541088900525362 absolute error = 3.421517954553920998687e-10 relative error = 4.7082757124927123651174725721325e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.793 Order of pole = 0.3304 x[1] = -0.15 y[1] (analytic) = -7.2656449473975887179121390398403 y[1] (numeric) = -7.2656449470547874877655457820078 absolute error = 3.428012301465932578325e-10 relative error = 4.7181115046005368584616799683629e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.793 Order of pole = 0.3304 x[1] = -0.149 y[1] (analytic) = -7.2642602738116832383337488565883 y[1] (numeric) = -7.2642602734682321849764203715657 absolute error = 3.434510533573284850226e-10 relative error = 4.7279563288157593246778042237110e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=225.0MB, alloc=4.5MB, time=24.81 Complex estimate of poles used Radius of convergence = 9.793 Order of pole = 0.3304 x[1] = -0.148 y[1] (analytic) = -7.2628757019841947999224647806786 y[1] (numeric) = -7.2628757016400935347707391492035 absolute error = 3.441012651517256314751e-10 relative error = 4.7378101907722067725818475028511e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.793 Order of pole = 0.3304 x[1] = -0.147 y[1] (analytic) = -7.2614912319170743576037370524332 y[1] (numeric) = -7.2614912315723224920097796883369 absolute error = 3.447518655939573640963e-10 relative error = 4.7476730961078491943309142634831e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.793 Order of pole = 0.3304 x[1] = -0.146 y[1] (analytic) = -7.2601068636122740323276885909629 y[1] (numeric) = -7.2601068632668711775794474059345 absolute error = 3.454028547482411850284e-10 relative error = 4.7575450504648029463600580601974e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.792 Order of pole = 0.3304 x[1] = -0.145 y[1] (analytic) = -7.2587225970717471112618251413873 y[1] (numeric) = -7.258722596725692878582985691359 absolute error = 3.460542326788394500283e-10 relative error = 4.7674260594893341334431620983645e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.792 Order of pole = 0.3305 x[1] = -0.144 y[1] (analytic) = -7.257338432297448047983880007943 y[1] (numeric) = -7.2573384319507420485338206210788 absolute error = 3.467059994500593868642e-10 relative error = 4.7773161288318619959457137284501e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.792 Order of pole = 0.3305 x[1] = -0.143 y[1] (analytic) = -7.2559543692913324626747934281825 y[1] (numeric) = -7.2559543689439743075485403144578 absolute error = 3.473581551262531137247e-10 relative error = 4.7872152641469623001996174410783e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.792 Order of pole = 0.3305 x[1] = -0.142 y[1] (analytic) = -7.2545704080553571423118266435234 y[1] (numeric) = -7.2545704077073464425400089858765 absolute error = 3.480106997718176576469e-10 relative error = 4.7971234710933707320927390288782e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.792 Order of pole = 0.3305 x[1] = -0.141 y[1] (analytic) = -7.253186548591480040861810721443 y[1] (numeric) = -7.2531865482428164074106157484861 absolute error = 3.486636334511949729569e-10 relative error = 4.8070407553339862937854034513703e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.792 Order of pole = 0.3305 x[1] = -0.14 y[1] (analytic) = -7.2518027909016602794745301846692 y[1] (numeric) = -7.2518027905523433232456582249411 absolute error = 3.493169562288719597281e-10 relative error = 4.8169671225358747036314096634462e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.791 Order of pole = 0.3305 x[1] = -0.139 y[1] (analytic) = -7.250419134987858146676241502759 y[1] (numeric) = -7.2504191346378874785068610205051 absolute error = 3.499706681693804822539e-10 relative error = 4.8269025783702717992598704495252e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.791 Order of pole = 0.3305 x[1] = -0.138 y[1] (analytic) = -7.249035580852035098563326501506 y[1] (numeric) = -7.2490355805014103292260291139697 absolute error = 3.506247693372973875363e-10 relative error = 4.8368471285125869438417124196052e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=228.8MB, alloc=4.5MB, time=25.26 Complex estimate of poles used Radius of convergence = 9.791 Order of pole = 0.3305 x[1] = -0.137 y[1] (analytic) = -7.2476521284961537589960807456628 y[1] (numeric) = -7.2476521281448744991988362218733 absolute error = 3.512792597972445237895e-10 relative error = 4.8468007786424064355315921938767e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.791 Order of pole = 0.3305 x[1] = -0.136 y[1] (analytic) = -7.2462687779221779197926369505141 y[1] (numeric) = -7.2462687775702437801787481915538 absolute error = 3.519341396138887589603e-10 relative error = 4.8567635344434969201132298752735e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.791 Order of pole = 0.3306 x[1] = -0.135 y[1] (analytic) = -7.2448855291320725409230234778784 y[1] (numeric) = -7.2448855287794831320710814786152 absolute error = 3.525894088519419992632e-10 relative error = 4.8667354016038088068223712387252e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.79 Order of pole = 0.3306 x[1] = -0.134 y[1] (analytic) = -7.243502382127803750703357972166 y[1] (numeric) = -7.2435023817745586831271967644359 absolute error = 3.532450675761612077301e-10 relative error = 4.8767163858154796873491602504663e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.79 Order of pole = 0.3306 x[1] = -0.133 y[1] (analytic) = -7.2421193369113388459901761921709 y[1] (numeric) = -7.2421193365574377301388277693918 absolute error = 3.539011158513484227791e-10 relative error = 4.8867064927748377580852222075579e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.79 Order of pole = 0.3306 x[1] = -0.132 y[1] (analytic) = -7.2407363934846462923748960943103 y[1] (numeric) = -7.2407363931300887386325453175163 absolute error = 3.545575537423507767940e-10 relative error = 4.8967057281824052455026975245449e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.79 Order of pole = 0.3306 x[1] = -0.131 y[1] (analytic) = -7.2393535518496957243784172230872 y[1] (numeric) = -7.2393535514944813430643567083635 absolute error = 3.552143813140605147237e-10 relative error = 4.9067140977429018347954081205879e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.79 Order of pole = 0.3306 x[1] = -0.13 y[1] (analytic) = -7.2379708120084579456458554645858 y[1] (numeric) = -7.2379708116525863470144404518907 absolute error = 3.558715986314150126951e-10 relative error = 4.9167316071652481016970059521228e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.79 Order of pole = 0.3306 x[1] = -0.129 y[1] (analytic) = -7.2365881739629049291414132188626 y[1] (numeric) = -7.2365881736063757233820164222205 absolute error = 3.565292057593967966421e-10 relative error = 4.9267582621625689475151896856083e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.789 Order of pole = 0.3306 x[1] = -0.128 y[1] (analytic) = -7.2352056377150098173433850471423 y[1] (numeric) = -7.235205637357822614580351486192 absolute error = 3.571872027630335609503e-10 relative error = 4.9367940684521970373796699676482e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.789 Order of pole = 0.3307 x[1] = -0.127 y[1] (analytic) = -7.2338232032667469224392988497734 y[1] (numeric) = -7.2338232029089013327319006626562 absolute error = 3.578455897073981871172e-10 relative error = 4.9468390317556762417043236119898e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=232.7MB, alloc=4.5MB, time=25.69 Complex estimate of poles used Radius of convergence = 9.789 Order of pole = 0.3307 x[1] = -0.126 y[1] (analytic) = -7.2324408706200917265211926309471 y[1] (numeric) = -7.2324408702615873598635838685187 absolute error = 3.585043666576087624284e-10 relative error = 4.9568931577987650808736549289059e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.789 Order of pole = 0.3307 x[1] = -0.125 y[1] (analytic) = -7.2310586397770208817810269062279 y[1] (numeric) = -7.2310586394178573481021983075785 absolute error = 3.591635336788285986494e-10 relative error = 4.9669564523114401731512502036787e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.789 Order of pole = 0.3307 x[1] = -0.124 y[1] (analytic) = -7.2296765107395122107062328089935 y[1] (numeric) = -7.2296765103796891198699665582608 absolute error = 3.598230908362662507327e-10 relative error = 4.9770289210278996858092895938368e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.788 Order of pole = 0.3307 x[1] = -0.123 y[1] (analytic) = -7.2282944835095447062753959519281 y[1] (numeric) = -7.2282944831490616680802204163868 absolute error = 3.604830381951755355413e-10 relative error = 4.9871105696865667894975462291755e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.788 Order of pole = 0.3307 x[1] = -0.122 y[1] (analytic) = -7.2269125580890985321540760997605 y[1] (numeric) = -7.2269125577279551563332205491724 absolute error = 3.611433758208555505881e-10 relative error = 4.9972014040300931158481896381489e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.788 Order of pole = 0.3307 x[1] = -0.121 y[1] (analytic) = -7.2255307344801550228907627094826 y[1] (numeric) = -7.2255307341183509191121120166938 absolute error = 3.618041037786506927888e-10 relative error = 5.0073014298053622182864079503272e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.788 Order of pole = 0.3307 x[1] = -0.12 y[1] (analytic) = -7.2241490126846966841129663943397 y[1] (numeric) = -7.224149012322231461979015717105 absolute error = 3.624652221339506772347e-10 relative error = 5.0174106527634930361386297068168e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.788 Order of pole = 0.3307 x[1] = -0.119 y[1] (analytic) = -7.2227673927047071927234463679181 y[1] (numeric) = -7.2227673923415804617712558119416 absolute error = 3.631267309521905559765e-10 relative error = 5.0275290786598433619184350177262e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.787 Order of pole = 0.3307 x[1] = -0.118 y[1] (analytic) = -7.2213858745421713970965739247171 y[1] (numeric) = -7.2213858741783827667977231878888 absolute error = 3.637886302988507368283e-10 relative error = 5.0376567132540133119207052785507e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.787 Order of pole = 0.3308 x[1] = -0.117 y[1] (analytic) = -7.2200044581990753172748320136272 y[1] (numeric) = -7.2200044578346243970353750114435 absolute error = 3.644509202394570021837e-10 relative error = 5.0477935623098488000151470722002e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.787 Order of pole = 0.3308 x[1] = -0.116 y[1] (analytic) = -7.2186231436774061451654509607932 y[1] (numeric) = -7.2186231433122925443258704329433 absolute error = 3.651136008395805278499e-10 relative error = 5.0579396315954450147241006097407e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.787 Order of pole = 0.3308 x[1] = -0.115 y[1] (analytic) = -7.2172419309791522447371803983838 y[1] (numeric) = -7.2172419306133755725723424964862 memory used=236.5MB, alloc=4.5MB, time=26.11 absolute error = 3.657766721648379018976e-10 relative error = 5.0680949268831498995574404435703e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.787 Order of pole = 0.3308 x[1] = -0.114 y[1] (analytic) = -7.2158608201063031522171974558348 y[1] (numeric) = -7.2158608197398630179363063123097 absolute error = 3.664401342808911435251e-10 relative error = 5.0782594539495676365856481524718e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.787 Order of pole = 0.3308 x[1] = -0.113 y[1] (analytic) = -7.2144798110608495762881512701869 y[1] (numeric) = -7.2144798106937455890347035482467 absolute error = 3.671039872534477219402e-10 relative error = 5.0884332185755621333041835890492e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.786 Order of pole = 0.3308 x[1] = -0.112 y[1] (analytic) = -7.2130989038447833982853438721796 y[1] (numeric) = -7.2130989034770151671370832969234 absolute error = 3.677682311482605752562e-10 relative error = 5.0986162265462605127411564819650e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.786 Order of pole = 0.3308 x[1] = -0.111 y[1] (analytic) = -7.211718098460097672394047504816 y[1] (numeric) = -7.2117180980916648063629193754108 absolute error = 3.684328660311281294052e-10 relative error = 5.1088084836510566068559028635620e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.786 Order of pole = 0.3308 x[1] = -0.11 y[1] (analytic) = -7.2103373949087866258469584311562 y[1] (numeric) = -7.2103373945396887338790641140898 absolute error = 3.690978919678943170664e-10 relative error = 5.1190099956836144531998629491953e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.786 Order of pole = 0.3308 x[1] = -0.109 y[1] (analytic) = -7.208956793192845659121787288147 y[1] (numeric) = -7.2089567928230823500973386915372 absolute error = 3.697633090244485966098e-10 relative error = 5.1292207684418717948485652607563e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.786 Order of pole = 0.3308 x[1] = -0.108 y[1] (analytic) = -7.2075762933142713461389860433462 y[1] (numeric) = -7.2075762929438422288722600722878 absolute error = 3.704291172667259710584e-10 relative error = 5.1394408077280435836509944520044e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.785 Order of pole = 0.3309 x[1] = -0.107 y[1] (analytic) = -7.2061958952750614344596116114371 y[1] (numeric) = -7.2061958949039661176989046043754 absolute error = 3.710953167607070070617e-10 relative error = 5.1496701193486254866997572435236e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.785 Order of pole = 0.3309 x[1] = -0.106 y[1] (analytic) = -7.204815599077214845483326187493 y[1] (numeric) = -7.2048155987054529379109083336025 absolute error = 3.717619075724178538905e-10 relative error = 5.1599087091143973961640406327350e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.785 Order of pole = 0.3309 x[1] = -0.105 y[1] (analytic) = -7.2034354047227316746465343539801 y[1] (numeric) = -7.2034354043503027848786040915376 absolute error = 3.724288897679302624425e-10 relative error = 5.1701565828404269423429863680670e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.785 Order of pole = 0.3309 x[1] = -0.104 y[1] (analytic) = -7.2020553122136131916206570185534 y[1] (numeric) = -7.2020553118405169282072954142855 absolute error = 3.730962634133616042679e-10 relative error = 5.1804137463460730100704189930997e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=240.3MB, alloc=4.5MB, time=26.54 Complex estimate of poles used Radius of convergence = 9.785 Order of pole = 0.3309 x[1] = -0.103 y[1] (analytic) = -7.2006753215518618405105422397329 y[1] (numeric) = -7.2006753211780978119356673491243 absolute error = 3.737640285748748906086e-10 relative error = 5.1906802054549892583854177769637e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.3309 x[1] = -0.102 y[1] (analytic) = -7.1992954327394812400530129976053 y[1] (numeric) = -7.1992954323650490547343342061511 absolute error = 3.744321853186787914542e-10 relative error = 5.2009559659951276435164366664990e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.3309 x[1] = -0.101 y[1] (analytic) = -7.1979156457784761838155519667392 y[1] (numeric) = -7.1979156454033754501045243121256 absolute error = 3.751007337110276546136e-10 relative error = 5.2112410337987419451656193320197e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.3309 x[1] = -0.1 y[1] (analytic) = -7.196535960670852640395123348551 y[1] (numeric) = -7.1965359602950829665769018237483 absolute error = 3.757696738182215248027e-10 relative error = 5.2215354147023912961035569433966e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.3309 x[1] = -0.099 y[1] (analytic) = -7.195156377418617753617131820409 y[1] (numeric) = -7.19515637704217874791052565766 absolute error = 3.764390057066061627490e-10 relative error = 5.2318391145469437150889200767296e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.3309 x[1] = -0.098 y[1] (analytic) = -7.1937768960237798427345186588038 y[1] (numeric) = -7.193776895646671113291945594494 absolute error = 3.771087294425730643098e-10 relative error = 5.2421521391775796430704231542005e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.784 Order of pole = 0.331 x[1] = -0.097 y[1] (analytic) = -7.1923975164883484026269950939734 y[1] (numeric) = -7.192397516110569557534435614364 absolute error = 3.777788450925594796094e-10 relative error = 5.2524744944437954827494741682389e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.783 Order of pole = 0.331 x[1] = -0.096 y[1] (analytic) = -7.1910182388143341040004129534057 y[1] (numeric) = -7.1910182384358847512773645212157 absolute error = 3.784493527230484321900e-10 relative error = 5.2628061861994071414331845178685e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.783 Order of pole = 0.331 x[1] = -0.095 y[1] (analytic) = -7.1896390630037487935862726517005 y[1] (numeric) = -7.1896390626246285411857039135203 absolute error = 3.791202524005687381802e-10 relative error = 5.2731472203025535772352663269730e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.783 Order of pole = 0.331 x[1] = -0.094 y[1] (analytic) = -7.1882599890586054943413685843124 y[1] (numeric) = -7.1882599886788139501496735588348 absolute error = 3.797915441916950254776e-10 relative error = 5.2834976026157003485794858458747e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.783 Order of pole = 0.331 x[1] = -0.093 y[1] (analytic) = -7.1868810169809184056475719827536 y[1] (numeric) = -7.1868810166004551774845242298029 absolute error = 3.804632281630477529507e-10 relative error = 5.2938573390056431670813244092690e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=244.1MB, alloc=4.5MB, time=26.96 Complex estimate of poles used Radius of convergence = 9.783 Order of pole = 0.331 x[1] = -0.092 y[1] (analytic) = -7.185502146772702903511751288871 y[1] (numeric) = -7.1855021463915675991304580592184 absolute error = 3.811353043812932296526e-10 relative error = 5.3042264353435114537068683498458e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.782 Order of pole = 0.331 x[1] = -0.091 y[1] (analytic) = -7.1841233784359755407658301058757 y[1] (numeric) = -7.1841233780541677678526864718211 absolute error = 3.818077729131436340546e-10 relative error = 5.3146048975047718983249382591140e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.782 Order of pole = 0.331 x[1] = -0.09 y[1] (analytic) = -7.1827447119727540472669827838368 y[1] (numeric) = -7.182744711590273413441625750543 absolute error = 3.824806338253570332938e-10 relative error = 5.3249927313692320225737331395221e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.782 Order of pole = 0.331 x[1] = -0.089 y[1] (analytic) = -7.1813661473850573300979676974098 y[1] (numeric) = -7.1813661470019034429132302949721 absolute error = 3.831538871847374024377e-10 relative error = 5.3353899428210437460870744765045e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.782 Order of pole = 0.331 x[1] = -0.088 y[1] (analytic) = -7.1799876846749054737675982736114 y[1] (numeric) = -7.1799876842910779407094636298475 absolute error = 3.838275330581346437639e-10 relative error = 5.3457965377487069560571578249563e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.782 Order of pole = 0.331 x[1] = -0.087 y[1] (analytic) = -7.1786093238443197404113518275069 y[1] (numeric) = -7.1786093234598181688989072214504 absolute error = 3.845015715124446060565e-10 relative error = 5.3562125220450730801594385385416e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.781 Order of pole = 0.331 x[1] = -0.086 y[1] (analytic) = -7.1772310648953225699921162637209 y[1] (numeric) = -7.1772310645101465673775071598012 absolute error = 3.851760026146091039197e-10 relative error = 5.3666379016073486628499899473506e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.781 Order of pole = 0.3311 x[1] = -0.085 y[1] (analytic) = -7.1758529078299375805010747017292 y[1] (numeric) = -7.1758529074440867540694587646234 absolute error = 3.858508264316159371058e-10 relative error = 5.3770726823370989449996991510083e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.781 Order of pole = 0.3311 x[1] = -0.084 y[1] (analytic) = -7.1744748526501895681587280829419 y[1] (numeric) = -7.1744748522636635251282291730826 absolute error = 3.865260430304989098593e-10 relative error = 5.3875168701402514468923317354628e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.781 Order of pole = 0.3311 x[1] = -0.083 y[1] (analytic) = -7.1730968993581045076160558176375 y[1] (numeric) = -7.1730968989709028551377179673573 absolute error = 3.872016524783378502802e-10 relative error = 5.3979704709270995546330541866277e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.781 Order of pole = 0.3311 x[1] = -0.082 y[1] (analytic) = -7.1717190479557095521558145298458 y[1] (numeric) = -7.1717190475678318973135559001472 absolute error = 3.878776548422586296986e-10 relative error = 5.4084334906123061098606926787097e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=247.9MB, alloc=4.5MB, time=27.39 Complex estimate of poles used Radius of convergence = 9.78 Order of pole = 0.3311 x[1] = -0.081 y[1] (analytic) = -7.1703412984450330338939749583425 y[1] (numeric) = -7.1703412980564789837045417762724 absolute error = 3.885540501894331820701e-10 relative error = 5.4189059351149070028995076609783e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.78 Order of pole = 0.3311 x[1] = -0.08 y[1] (analytic) = -7.1689636508281044639812970719511 y[1] (numeric) = -7.1689636504388736253942175485669 absolute error = 3.892308385870795233842e-10 relative error = 5.4293878103583147692451529656783e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.78 Order of pole = 0.3311 x[1] = -0.079 y[1] (analytic) = -7.1675861051069545328050434574078 y[1] (numeric) = -7.1675861047170465127025816863168 absolute error = 3.899080201024617710910e-10 relative error = 5.4398791222703221894620919683062e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.78 Order of pole = 0.3311 x[1] = -0.078 y[1] (analytic) = -7.1662086612836151101908310380857 y[1] (numeric) = -7.1662086608930295153879408745431 absolute error = 3.905855948028901635426e-10 relative error = 5.4503798767831058924456667207732e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.78 Order of pole = 0.3311 x[1] = -0.077 y[1] (analytic) = -7.1648313193601192456046211819297 y[1] (numeric) = -7.1648313189688556828489001024781 absolute error = 3.912635627557210794516e-10 relative error = 5.4608900798332299620856848933844e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.78 Order of pole = 0.3311 x[1] = -0.076 y[1] (analytic) = -7.1634540793385011683548482569985 y[1] (numeric) = -7.1634540789465592443264911996321 absolute error = 3.919419240283570573664e-10 relative error = 5.4714097373616495473307532849468e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.779 Order of pole = 0.3311 x[1] = -0.075 y[1] (analytic) = -7.1620769412207962877946866930566 y[1] (numeric) = -7.1620769408281756091064398778967 absolute error = 3.926206786882468151599e-10 relative error = 5.4819388553137144756093004618756e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.779 Order of pole = 0.3311 x[1] = -0.074 y[1] (analytic) = -7.1606999050090411935244566077181 y[1] (numeric) = -7.1606999046157413667215713381789 absolute error = 3.932998268028852695392e-10 relative error = 5.4924774396391728697167780977917e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.779 Order of pole = 0.3311 x[1] = -0.073 y[1] (analytic) = -7.1593229707052736555941680556778 y[1] (numeric) = -7.1593229703112942871543545001107 absolute error = 3.939793684398135555671e-10 relative error = 5.5030254962921747680440385264482e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.779 Order of pole = 0.3311 x[1] = -0.072 y[1] (analytic) = -7.1579461383115326247062039596278 y[1] (numeric) = -7.1579461379168733210395849134255 absolute error = 3.946593036666190462023e-10 relative error = 5.5135830312312757482466170167889e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.779 Order of pole = 0.3312 x[1] = -0.071 y[1] (analytic) = -7.1565694078298582324181417814989 y[1] (numeric) = -7.1565694074345185998672064096429 absolute error = 3.953396325509353718560e-10 relative error = 5.5241500504194405543262460892959e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=251.7MB, alloc=4.5MB, time=27.81 Complex estimate of poles used Radius of convergence = 9.778 Order of pole = 0.3312 x[1] = -0.07 y[1] (analytic) = -7.1551927792622917913457139927155 y[1] (numeric) = -7.1551927788662714361852715527529 absolute error = 3.960203551604424399626e-10 relative error = 5.5347265598240467270958835645226e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.778 Order of pole = 0.3312 x[1] = -0.069 y[1] (analytic) = -7.1538162526108757953659074022081 y[1] (numeric) = -7.1538162522141743238030409476381 absolute error = 3.967014715628664545700e-10 relative error = 5.5453125654168882381085230557409e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.778 Order of pole = 0.3312 x[1] = -0.068 y[1] (analytic) = -7.1524398278776539198202014009647 y[1] (numeric) = -7.1524398274802709379942214650217 absolute error = 3.973829818259799359430e-10 relative error = 5.5559080731741791269624028022410e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.778 Order of pole = 0.3312 x[1] = -0.067 y[1] (analytic) = -7.1510635050646710217179451819661 y[1] (numeric) = -7.1510635046666061357003434417799 absolute error = 3.980648860176017401862e-10 relative error = 5.5665130890765571420754854350582e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.778 Order of pole = 0.3312 x[1] = -0.066 y[1] (analytic) = -7.1496872841739731399398739943835 y[1] (numeric) = -7.1496872837752259557342769155036 absolute error = 3.987471842055970788799e-10 relative error = 5.5771276191090873848417953368595e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.777 Order of pole = 0.3312 x[1] = -0.065 y[1] (analytic) = -7.1483111652076074954417644909817 y[1] (numeric) = -7.148311164808177618983886952246 absolute error = 3.994298764578775387357e-10 relative error = 5.5877516692612659572667231256685e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.777 Order of pole = 0.3312 x[1] = -0.064 y[1] (analytic) = -7.1469351481676224914582292277052 y[1] (numeric) = -7.1469351477675095286158281264396 absolute error = 4.001129628424011012656e-10 relative error = 5.5983852455270236129980579399430e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.777 Order of pole = 0.3312 x[1] = -0.063 y[1] (analytic) = -7.1455592330560677137066503744872 y[1] (numeric) = -7.1455592326552712702794782120175 absolute error = 4.007964434271721624697e-10 relative error = 5.6090283539047294118275186391138e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.777 Order of pole = 0.3312 x[1] = -0.062 y[1] (analytic) = -7.1441834198749939305912526963597 y[1] (numeric) = -7.1441834194735136123110111438209 absolute error = 4.014803182802415525388e-10 relative error = 5.6196810003971943776144916172947e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.777 Order of pole = 0.3312 x[1] = -0.061 y[1] (analytic) = -7.1428077086264530934073158640003 y[1] (numeric) = -7.1428077082242885059376093084258 absolute error = 4.021645874697065555745e-10 relative error = 5.6303431910116751596718076168105e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.776 Order of pole = 0.3312 x[1] = -0.06 y[1] (analytic) = -7.1414320993124983365455261528945 y[1] (numeric) = -7.1414320989096490854818152235696 absolute error = 4.028492510637109293249e-10 relative error = 5.6410149317598776975904372445670e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.776 Order of pole = 0.3312 memory used=255.5MB, alloc=4.5MB, time=28.22 x[1] = -0.059 y[1] (analytic) = -7.1400565919351839776964675903469 y[1] (numeric) = -7.1400565915316496685660226654095 absolute error = 4.035343091304449249374e-10 relative error = 5.6516962286579608895275664221798e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.776 Order of pole = 0.3312 x[1] = -0.058 y[1] (analytic) = -7.1386811864965655180552526096188 y[1] (numeric) = -7.1386811860923457563171073028915 absolute error = 4.042197617381453067273e-10 relative error = 5.6623870877265402639433262720046e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.776 Order of pole = 0.3312 x[1] = -0.057 y[1] (analytic) = -7.1373058829986996425262922705238 y[1] (numeric) = -7.1373058825937940335711968985604 absolute error = 4.049056089550953719634e-10 relative error = 5.6730875149906916548064549521948e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.776 Order of pole = 0.3312 x[1] = -0.056 y[1] (analytic) = -7.1359306814436442199282061058598 y[1] (numeric) = -7.1359306810380523690785811351898 absolute error = 4.055918508496249706700e-10 relative error = 5.6837975164799548802639742498814e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.775 Order of pole = 0.3312 x[1] = -0.055 y[1] (analytic) = -7.134555581833458303198871653105 y[1] (numeric) = -7.1345555814271798157087611276597 absolute error = 4.062784874901105254453e-10 relative error = 5.6945170982283374247783644191185e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.775 Order of pole = 0.3313 x[1] = -0.054 y[1] (analytic) = -7.1331805841702021296006137308566 y[1] (numeric) = -7.1331805837632366106556386795604 absolute error = 4.069655189449750512962e-10 relative error = 5.7052462662743181247357246089459e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.775 Order of pole = 0.3313 x[1] = -0.053 y[1] (analytic) = -7.1318056884559371209255335195396 y[1] (numeric) = -7.1318056880482841756428453440499 absolute error = 4.076529452826881754897e-10 relative error = 5.7159850266608508575312144292267e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.775 Order of pole = 0.3313 x[1] = -0.052 y[1] (analytic) = -7.1304308946927258837009775059613 y[1] (numeric) = -7.1304308942843851171292113485413 absolute error = 4.083407665717661574200e-10 relative error = 5.7267333854353682341226535579351e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.775 Order of pole = 0.3313 x[1] = -0.051 y[1] (analytic) = -7.1290562028826322093951463513426 y[1] (numeric) = -7.1290562024736032265143744428472 absolute error = 4.090289828807719084954e-10 relative error = 5.7374913486497852951132762111054e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.774 Order of pole = 0.3313 x[1] = -0.05 y[1] (analytic) = -7.1276816130277210746228437424935 y[1] (numeric) = -7.1276816126180034803445287304573 absolute error = 4.097175942783150120362e-10 relative error = 5.7482589223605032102437453719367e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.774 Order of pole = 0.3313 x[1] = -0.049 y[1] (analytic) = -7.1263071251300586413513652858693 y[1] (numeric) = -7.1263071247196520405183135426747 absolute error = 4.104066008330517431946e-10 relative error = 5.7590361126284129814511889002539e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.774 Order of pole = 0.3313 x[1] = -0.048 y[1] (analytic) = -7.1249327391917122571065275042751 y[1] (numeric) = -7.1249327387806162544928424153869 absolute error = 4.110960026136850888882e-10 relative error = 5.7698229255188991493809783334085e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=259.4MB, alloc=4.5MB, time=28.64 Complex estimate of poles used Radius of convergence = 9.774 Order of pole = 0.3313 x[1] = -0.047 y[1] (analytic) = -7.1235584552147504551788369960465 y[1] (numeric) = -7.1235584548029646554898722282963 absolute error = 4.117857996889647677502e-10 relative error = 5.7806193671018435033982294279363e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.774 Order of pole = 0.3313 x[1] = -0.046 y[1] (analytic) = -7.1221842732012429548297998165831 y[1] (numeric) = -7.122184272788766962702112566486 absolute error = 4.124759921276872500971e-10 relative error = 5.7914254434516287951137810295784e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.773 Order of pole = 0.3313 x[1] = -0.045 y[1] (analytic) = -7.120810193153260661498371142157 y[1] (numeric) = -7.1208101927400940814996753642443 absolute error = 4.131665799986957779127e-10 relative error = 5.8022411606471424554113434161045e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.773 Order of pole = 0.3313 x[1] = -0.044 y[1] (analytic) = -7.1194362150728756670075452759734 y[1] (numeric) = -7.1194362146590181036366648911245 absolute error = 4.138575633708803848489e-10 relative error = 5.8130665247717803149863634666452e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.773 Order of pole = 0.3313 x[1] = -0.043 y[1] (analytic) = -7.1180623389621612497710860565059 y[1] (numeric) = -7.1180623385476123074579081402633 absolute error = 4.145489423131779162426e-10 relative error = 5.8239015419134503283903102435437e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.773 Order of pole = 0.3313 x[1] = -0.042 y[1] (analytic) = -7.1166885648231918750003977281815 y[1] (numeric) = -7.1166885644079511581058256790323 absolute error = 4.152407168945720491492e-10 relative error = 5.8347462181645763015909350860151e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.773 Order of pole = 0.3313 x[1] = -0.041 y[1] (analytic) = -7.1153148926580431949115363345419 y[1] (numeric) = -7.1153148922421103077274430221481 absolute error = 4.159328871840933123938e-10 relative error = 5.8456005596221016230675075943849e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.772 Order of pole = 0.3313 x[1] = -0.04 y[1] (analytic) = -7.1139413224687920489323616940519 y[1] (numeric) = -7.1139413220521665956815425874139 absolute error = 4.166254532508191066380e-10 relative error = 5.8564645723874929984150745962283e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.772 Order of pole = 0.3313 x[1] = -0.039 y[1] (analytic) = -7.1125678542575164639098300187819 y[1] (numeric) = -7.1125678538401980487459562943183 absolute error = 4.173184151638737244636e-10 relative error = 5.8673382625667441884795502512651e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.772 Order of pole = 0.3313 x[1] = -0.038 y[1] (analytic) = -7.1111944880262956543174272362392 y[1] (numeric) = -7.1111944876082838813249988657654 absolute error = 4.180117729924283704738e-10 relative error = 5.8782216362703797510356339723295e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.772 Order of pole = 0.3313 x[1] = -0.037 y[1] (analytic) = -7.1098212237772100224627430746693 y[1] (numeric) = -7.1098212233585044956570418932604 absolute error = 4.187055268057011814089e-10 relative error = 5.8891146996134587859689356442601e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=263.2MB, alloc=4.5MB, time=29.07 Complex estimate of poles used Radius of convergence = 9.772 Order of pole = 0.3313 x[1] = -0.036 y[1] (analytic) = -7.1084480615123411586951859722084 y[1] (numeric) = -7.108448061092941482022228725926 absolute error = 4.193996766729572462824e-10 relative error = 5.9000174587155786840488295228877e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.771 Order of pole = 0.3313 x[1] = -0.035 y[1] (analytic) = -7.1070750012337718416138388703047 y[1] (numeric) = -7.1070750008136776189503302437743 absolute error = 4.200942226635086265304e-10 relative error = 5.9109299197008788791957740633857e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.771 Order of pole = 0.3313 x[1] = -0.034 y[1] (analytic) = -7.1057020429435860382754559518878 y[1] (numeric) = -7.1057020425227968734287415757091 absolute error = 4.207891648467143761787e-10 relative error = 5.9218520886980446043085264099851e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.771 Order of pole = 0.3313 x[1] = -0.033 y[1] (analytic) = -7.1043291866438689044026003848118 y[1] (numeric) = -7.104329186222384401110619822784 absolute error = 4.214845032919805620278e-10 relative error = 5.9327839718403106506576610100614e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.771 Order of pole = 0.3313 x[1] = -0.032 y[1] (analytic) = -7.1029564323367067845919231311457 y[1] (numeric) = -7.1029564319145265465231628472921 absolute error = 4.221802380687602838536e-10 relative error = 5.9437255752654651308180214157276e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.771 Order of pole = 0.3313 x[1] = -0.031 y[1] (analytic) = -7.101583780024187212522582882938 y[1] (numeric) = -7.1015837796013108432760291883132 absolute error = 4.228763692465536946248e-10 relative error = 5.9546769051158532451577508177984e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.771 Order of pole = 0.3314 x[1] = -0.03 y[1] (analytic) = -7.1002112297083989111648071851321 y[1] (numeric) = -7.1002112292848260142698991643942 absolute error = 4.235728968949080207379e-10 relative error = 5.9656379675383810519001641818878e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.77 Order of pole = 0.3314 x[1] = -0.029 y[1] (analytic) = -7.0988387813914317929885948063582 y[1] (numeric) = -7.09883878096716197190517722409 absolute error = 4.242698210834175822682e-10 relative error = 5.9766087686845192407395314197913e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.77 Order of pole = 0.3314 x[1] = -0.028 y[1] (analytic) = -7.0974664350753769601725594183791 y[1] (numeric) = -7.0974664346504098182908356051416 absolute error = 4.249671418817238132375e-10 relative error = 5.9875893147103069100242161067460e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.77 Order of pole = 0.3314 x[1] = -0.027 y[1] (analytic) = -7.0960941907623267048129146450195 y[1] (numeric) = -7.0960941903366618454533993631189 absolute error = 4.256648593595152819006e-10 relative error = 5.9985796117763553475403626550578e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.77 Order of pole = 0.3314 x[1] = -0.026 y[1] (analytic) = -7.0947220484543745091326005414509 y[1] (numeric) = -7.0947220480280115355460728304066 absolute error = 4.263629735865277110443e-10 relative error = 6.0095796660478518148109767701403e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=267.0MB, alloc=4.5MB, time=29.49 Complex estimate of poles used Radius of convergence = 9.77 Order of pole = 0.3314 x[1] = -0.025 y[1] (analytic) = -7.0933500081536150456905515647702 y[1] (numeric) = -7.0933500077265535610580075664608 absolute error = 4.270614846325439983094e-10 relative error = 6.0205894836945633350619522112583e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.769 Order of pole = 0.3314 x[1] = -0.024 y[1] (analytic) = -7.0919780698621441775911060968396 y[1] (numeric) = -7.0919780694343837850237118603163 absolute error = 4.277603925673942365233e-10 relative error = 6.0316090708908404846839298337849e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.769 Order of pole = 0.3314 x[1] = -0.023 y[1] (analytic) = -7.0906062335820589586935575804275 y[1] (numeric) = -7.0906062331535992612326018463738 absolute error = 4.284596974609557340537e-10 relative error = 6.0426384338156211883415709449728e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.769 Order of pole = 0.3314 x[1] = -0.022 y[1] (analytic) = -7.0892344993154576338218473297257 y[1] (numeric) = -7.0892344988862982344386942945473 absolute error = 4.291593993831530351784e-10 relative error = 6.0536775786524345176634187290600e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.769 Order of pole = 0.3314 x[1] = -0.021 y[1] (analytic) = -7.0878628670644396389743990763724 y[1] (numeric) = -7.087862866634580140570441135903 absolute error = 4.298594984039579404694e-10 relative error = 6.0647265115894044934905640378073e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.769 Order of pole = 0.3314 x[1] = -0.02 y[1] (analytic) = -7.0864913368311056015340953121694 y[1] (numeric) = -7.0864913364005456069407057849708 absolute error = 4.305599945933895271986e-10 relative error = 6.0757852388192538917907098743810e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.768 Order of pole = 0.3314 x[1] = -0.019 y[1] (analytic) = -7.0851199086175573404783954897173 y[1] (numeric) = -7.0851199081862964524568813199616 absolute error = 4.312608880215141697557e-10 relative error = 6.0868537665393080531086871373808e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.768 Order of pole = 0.3314 x[1] = -0.018 y[1] (analytic) = -7.083748582425897866589596142258 y[1] (numeric) = -7.0837485819939356878311505821725 absolute error = 4.319621787584455600855e-10 relative error = 6.0979321009514986956586120822244e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.768 Order of pole = 0.3314 x[1] = -0.017 y[1] (analytic) = -7.082377358258231382665232984058 y[1] (numeric) = -7.0823773578255675157908882559155 absolute error = 4.326638668743447281425e-10 relative error = 6.1090202482623677320317254849869e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.768 Order of pole = 0.3314 x[1] = -0.016 y[1] (analytic) = -7.0810062361166632837286250527138 y[1] (numeric) = -7.0810062356832973312892049903526 absolute error = 4.333659524394200623612e-10 relative error = 6.1201182146830710895009728198449e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.768 Order of pole = 0.3314 x[1] = -0.015 y[1] (analytic) = -7.0796352160033001572395609548187 y[1] (numeric) = -7.079635215569231721715633624675 absolute error = 4.340684355239273301437e-10 relative error = 6.1312260064293825339485538928247e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.767 Order of pole = 0.3314 memory used=270.8MB, alloc=4.5MB, time=29.92 x[1] = -0.014 y[1] (analytic) = -7.0782642979202497833051272764763 y[1] (numeric) = -7.0782642974854784671069575781117 absolute error = 4.347713161981696983646e-10 relative error = 6.1423436297216974974201050159923e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.767 Order of pole = 0.3314 x[1] = -0.013 y[1] (analytic) = -7.0768934818696211348906792201989 y[1] (numeric) = -7.0768934814341465403581814663055 absolute error = 4.354745945324977538934e-10 relative error = 6.1534710907850369093120069839914e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.767 Order of pole = 0.3314 x[1] = -0.012 y[1] (analytic) = -7.0755227678535243780309535297778 y[1] (numeric) = -7.0755227674173461074336440056459 absolute error = 4.361782705973095241319e-10 relative error = 6.1646083958490510311601608541880e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.767 Order of pole = 0.3314 x[1] = -0.011 y[1] (analytic) = -7.0741521558740708720413237647681 y[1] (numeric) = -7.074152155437188527578273267197 absolute error = 4.368823444630504975711e-10 relative error = 6.1757555511480232950974746467998e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.766 Order of pole = 0.3314 x[1] = -0.01 y[1] (analytic) = -7.0727816459333731697291979862759 y[1] (numeric) = -7.0727816454957863535289843419126 absolute error = 4.375868162002136443633e-10 relative error = 6.1869125629208741459229860926977e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.766 Order of pole = 0.3314 x[1] = -0.009 y[1] (analytic) = -7.0714112380335450176055589157924 y[1] (numeric) = -7.0714112375952533317262194788796 absolute error = 4.382916858793394369128e-10 relative error = 6.1980794374111648868343456075730e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.766 Order of pole = 0.3314 x[1] = -0.008 y[1] (analytic) = -7.0700409321767013560966466288648 y[1] (numeric) = -7.0700409317377044025256307583829 absolute error = 4.389969535710158704819e-10 relative error = 6.2092561808671015287806962057962e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.766 Order of pole = 0.3314 x[1] = -0.007 y[1] (analytic) = -7.0686707283649583197557838454509 y[1] (numeric) = -7.0686707279252557004099053616359 absolute error = 4.397026193458784838150e-10 relative error = 6.2204427995415386434792151074656e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.766 Order of pole = 0.3314 x[1] = -0.006 y[1] (analytic) = -7.0673006266004332374753438788529 y[1] (numeric) = -7.0673006261600245542007334990724 absolute error = 4.404086832746103797805e-10 relative error = 6.2316392996919832200947833028946e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.765 Order of pole = 0.3314 x[1] = -0.005 y[1] (analytic) = -7.0659306268852446326988613051742 y[1] (numeric) = -7.0659306264441294872709190591462 absolute error = 4.411151454279422460280e-10 relative error = 6.2428456875805985255511115745117e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.765 Order of pole = 0.3314 x[1] = -0.004 y[1] (analytic) = -7.0645607292215122236332854152996 y[1] (numeric) = -7.0645607287796902177566330396361 absolute error = 4.418220058766523756635e-10 relative error = 6.2540619694742079685152075674204e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.765 Order of pole = 0.3314 x[1] = -0.003 y[1] (analytic) = -7.0631909336113569234613765114492 y[1] (numeric) = -7.0631909331688276587698098235066 absolute error = 4.425292646915666879426e-10 relative error = 6.2652881516442989670589055280147e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=274.6MB, alloc=4.5MB, time=30.35 Complex estimate of poles used Radius of convergence = 9.765 Order of pole = 0.3314 x[1] = -0.002 y[1] (analytic) = -7.0618212400569008405542451104033 y[1] (numeric) = -7.0618212396136639186106863614238 absolute error = 4.432369219435587489795e-10 relative error = 6.2765242403670268199700310447238e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.765 Order of pole = 0.3314 x[1] = -0.001 y[1] (analytic) = -7.0604516485602672786840341155531 y[1] (numeric) = -7.0604516481163223009804843230794 absolute error = 4.439449777035497924737e-10 relative error = 6.2877702419232185817437988754530e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.764 Order of pole = 0.3314 x[1] = 0 y[1] (analytic) = -7.0590821591235807372367440199794 y[1] (numeric) = -7.0590821586789273051942352795261 absolute error = 4.446534320425087404533e-10 relative error = 6.2990261625983769412425893776750e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.764 Order of pole = 0.3314 x[1] = 0.001 y[1] (analytic) = -7.0577127717489669114252012028156 y[1] (numeric) = -7.0577127713036046263937489787791 absolute error = 4.453622850314522240365e-10 relative error = 6.3102920086826841040504850484501e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.764 Order of pole = 0.3314 x[1] = 0.002 y[1] (analytic) = -7.056343486438552692502169381201 y[1] (numeric) = -7.0563434859924811557607247769907 absolute error = 4.460715367414446042103e-10 relative error = 6.3215677864710056785121417339390e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.764 Order of pole = 0.3314 x[1] = 0.003 y[1] (analytic) = -7.0549743031944661679736042801801 y[1] (numeric) = -7.0549743027476849807300062875557 absolute error = 4.467811872435979926244e-10 relative error = 6.3328535022628945654313768507540e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.764 Order of pole = 0.3314 x[1] = 0.004 y[1] (analytic) = -7.0536052220188366218120515829623 y[1] (numeric) = -7.0536052215713453852029793105576 absolute error = 4.474912366090722724047e-10 relative error = 6.3441491623625948514955508473111e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.763 Order of pole = 0.3314 x[1] = 0.005 y[1] (analytic) = -7.0522362429137945346701882239993 y[1] (numeric) = -7.0522362424655928497611131050164 absolute error = 4.482016849090751189829e-10 relative error = 6.3554547730790457063798979206823e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.763 Order of pole = 0.3314 x[1] = 0.006 y[1] (analytic) = -7.0508673658814715840945070873948 y[1] (numeric) = -7.0508673654325590518796450664515 absolute error = 4.489125322148620209433e-10 relative error = 6.3667703407258852835511293536143e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.763 Order of pole = 0.3314 x[1] = 0.007 y[1] (analytic) = -7.0494985909240006447391451732117 y[1] (numeric) = -7.0494985904743768661414088723243 absolute error = 4.496237785977363008874e-10 relative error = 6.3780958716214546247825685180673e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.763 Order of pole = 0.3314 x[1] = 0.008 y[1] (analytic) = -7.0481299180435157885798552942913 y[1] (numeric) = -7.0481299175931803644508061579763 absolute error = 4.503354241290491363150e-10 relative error = 6.3894313720888015683661364916912e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=278.4MB, alloc=4.6MB, time=30.79 Complex estimate of poles used Radius of convergence = 9.763 Order of pole = 0.3314 x[1] = 0.009 y[1] (analytic) = -7.0467613472421522851281213662547 y[1] (numeric) = -7.0467613467911048162479217857321 absolute error = 4.510474688801995805226e-10 relative error = 6.4007768484556846610362837030495e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.762 Order of pole = 0.3314 x[1] = 0.01 y[1] (analytic) = -7.0453928785220466016454173534061 y[1] (numeric) = -7.0453928780702866887227827698855 absolute error = 4.517599129226345835206e-10 relative error = 6.4121323070545770736309204095331e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.762 Order of pole = 0.3314 x[1] = 0.011 y[1] (analytic) = -7.0440245118853364033576099333078 y[1] (numeric) = -7.0440245114328636470297609203429 absolute error = 4.524727563278490129649e-10 relative error = 6.4234977542226705204306771636243e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.762 Order of pole = 0.3314 x[1] = 0.012 y[1] (analytic) = -7.042656247334160553669504942855 y[1] (numeric) = -7.0426562468809745545021192677453 absolute error = 4.531859991673856751097e-10 relative error = 6.4348731963018791822767644853846e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.762 Order of pole = 0.3314 x[1] = 0.013 y[1] (analytic) = -7.0412880848706591143795376687201 y[1] (numeric) = -7.0412880844167594728667023329468 absolute error = 4.538996415128353357733e-10 relative error = 6.4462586396388436333548259841577e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.762 Order of pole = 0.3314 x[1] = 0.014 y[1] (analytic) = -7.0399200244969733458946070450999 y[1] (numeric) = -7.0399200240423596624587703037754 absolute error = 4.546136834358367413245e-10 relative error = 6.4576540905849347717564368051716e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.761 Order of pole = 0.3314 x[1] = 0.015 y[1] (analytic) = -7.0385520662152457074450538217423 y[1] (numeric) = -7.0385520657599175824369771820572 absolute error = 4.553281250080766396851e-10 relative error = 6.4690595554962577537581608884395e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.761 Order of pole = 0.3314 x[1] = 0.016 y[1] (analytic) = -7.0371842100276198572997827652846 y[1] (numeric) = -7.037184209571576890998492963935 absolute error = 4.560429663012898013496e-10 relative error = 6.4804750407336559318375627003810e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.761 Order of pole = 0.3314 x[1] = 0.017 y[1] (analytic) = -7.0358164559362406529815289569875 y[1] (numeric) = -7.0358164554794824455942699165649 absolute error = 4.567582073872590404226e-10 relative error = 6.4919005526627147964370698161671e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.761 Order of pole = 0.3314 x[1] = 0.018 y[1] (analytic) = -7.0344488039432541514822682500013 y[1] (numeric) = -7.0344488034857803031444530143274 absolute error = 4.574738483378152356739e-10 relative error = 6.5033360976537659214794901414817e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.761 Order of pole = 0.3314 x[1] = 0.019 y[1] (analytic) = -7.0330812540508076094787719493505 y[1] (numeric) = -7.0330812535926177202539345977407 absolute error = 4.581898892248373516098e-10 relative error = 6.5147816820818909136176640360136e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=282.2MB, alloc=4.6MB, time=31.22 Complex estimate of poles used Radius of convergence = 9.76 Order of pole = 0.3314 x[1] = 0.02 y[1] (analytic) = -7.0317138062610494835483057778803 y[1] (numeric) = -7.0317138058021431534280533183168 absolute error = 4.589063301202524595635e-10 relative error = 6.5262373123269253652632763279802e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.76 Order of pole = 0.3314 x[1] = 0.021 y[1] (analytic) = -7.0303464605761294303844731914528 y[1] (numeric) = -7.0303464601165062592884374326519 absolute error = 4.596231710960357588009e-10 relative error = 6.5377029947734628113460428742799e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.76 Order of pole = 0.3314 x[1] = 0.022 y[1] (analytic) = -7.028979216998198307013203106744 y[1] (numeric) = -7.0289792165378578947889925090976 absolute error = 4.603404122242105976464e-10 relative error = 6.5491787358108586898724913056591e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.76 Order of pole = 0.3314 x[1] = 0.023 y[1] (analytic) = -7.0276120755294081710088821050317 y[1] (numeric) = -7.0276120750683501174320336104081 absolute error = 4.610580535768484946236e-10 relative error = 6.5606645418332343062156346937226e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.76 Order of pole = 0.3314 x[1] = 0.024 y[1] (analytic) = -7.026245036171912280710631175429 y[1] (numeric) = -7.0262450357101361854845620158142 absolute error = 4.617760952260691596148e-10 relative error = 6.5721604192394808011948194323717e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.759 Order of pole = 0.3314 x[1] = 0.025 y[1] (analytic) = -7.0248780989278650954387270610632 y[1] (numeric) = -7.0248780984653705581946865460255 absolute error = 4.624945372440405150377e-10 relative error = 6.5836663744332631229268260737028e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.759 Order of pole = 0.3314 x[1] = 0.026 y[1] (analytic) = -7.0235112637994222757111682717545 y[1] (numeric) = -7.0235112633362088960081895547144 absolute error = 4.632133797029787170401e-10 relative error = 6.5951824138230240024634416572483e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.759 Order of pole = 0.3314 x[1] = 0.027 y[1] (analytic) = -7.0221445307887406834603858268005 y[1] (numeric) = -7.0221445303248080607852376500896 absolute error = 4.639326226751481767109e-10 relative error = 6.6067085438219879331951424291998e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.759 Order of pole = 0.3314 x[1] = 0.028 y[1] (analytic) = -7.0207778998979783822500987915273 y[1] (numeric) = -7.0207778994333261160172372102179 absolute error = 4.646522662328615813094e-10 relative error = 6.6182447708481651540531931685414e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.759 Order of pole = 0.3314 x[1] = 0.029 y[1] (analytic) = -7.0194113711292946374923146713181 y[1] (numeric) = -7.0194113706639223270438347558055 absolute error = 4.653723104484799155126e-10 relative error = 6.6297911013243556365097516937881e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.758 Order of pole = 0.3314 x[1] = 0.03 y[1] (analytic) = -7.0180449444848499166644747268829 y[1] (numeric) = -7.0180449440187571612700622442041 absolute error = 4.660927553944124826788e-10 relative error = 6.6413475416781530753556162162543e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=286.1MB, alloc=4.6MB, time=31.64 Complex estimate of poles used Radius of convergence = 9.758 Order of pole = 0.3314 x[1] = 0.031 y[1] (analytic) = -7.0166786199668058895267442745874 y[1] (numeric) = -7.0166786194999922883836273484579 absolute error = 4.668136011431169261295e-10 relative error = 6.6529140983419488832879512951905e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.758 Order of pole = 0.3314 x[1] = 0.032 y[1] (analytic) = -7.0153123975773254283394480357108 y[1] (numeric) = -7.0153123971097905805723487852615 absolute error = 4.675348477670992504493e-10 relative error = 6.6644907777529361893075914196855e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.758 Order of pole = 0.3314 x[1] = 0.033 y[1] (analytic) = -7.0139462773185726080806505985532 y[1] (numeric) = -7.0139462768503161127417367557509 absolute error = 4.682564953389138428023e-10 relative error = 6.6760775863531138409084101488412e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.757 Order of pole = 0.3314 x[1] = 0.034 y[1] (analytic) = -7.012580259192712706663882057369 y[1] (numeric) = -7.0125802587237341627327185631024 absolute error = 4.689785439311634942666e-10 relative error = 6.6876745305892904100854200211544e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.757 Order of pole = 0.3314 x[1] = 0.035 y[1] (analytic) = -7.0112143432019122051560088921543 y[1] (numeric) = -7.0112143427322112115395094709675 absolute error = 4.697009936164994211868e-10 relative error = 6.6992816169130882031640614419960e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.757 Order of pole = 0.3313 x[1] = 0.036 y[1] (analytic) = -7.0098485293483387879952501533675 y[1] (numeric) = -7.0098485288779149435276288668244 absolute error = 4.704238444676212865431e-10 relative error = 6.7108988517809472744345955503376e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.757 Order of pole = 0.3313 x[1] = 0.037 y[1] (analytic) = -7.0084828176341613432093390157184 y[1] (numeric) = -7.0084828171630142466520617943789 absolute error = 4.711470965572772213395e-10 relative error = 6.7225262416541294436311361372297e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.757 Order of pole = 0.3313 x[1] = 0.038 y[1] (analytic) = -7.0071172080615499626338297652099 y[1] (numeric) = -7.007117207589679212675565919202 absolute error = 4.718707499582638460079e-10 relative error = 6.7341637929987223172135697661539e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.756 Order of pole = 0.3313 x[1] = 0.039 y[1] (analytic) = -7.0057517006326759421305502836738 y[1] (numeric) = -7.0057517001600811373871239918424 absolute error = 4.725948047434262918314e-10 relative error = 6.7458115122856433135033273355969e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.756 Order of pole = 0.3313 x[1] = 0.04 y[1] (analytic) = -7.0043862953497117818062000950911 y[1] (numeric) = -7.0043862948763925208205418727071 absolute error = 4.733192609856582223840e-10 relative error = 6.7574694059906436916369598155603e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.756 Order of pole = 0.3313 x[1] = 0.041 y[1] (analytic) = -7.0030209922148311862310940380433 y[1] (numeric) = -7.0030209917407870674731921830543 absolute error = 4.740441187579018549890e-10 relative error = 6.7691374805943125843742386611688e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.756 Order of pole = 0.3313 x[1] = 0.042 memory used=289.9MB, alloc=4.6MB, time=32.07 y[1] (analytic) = -7.0016557912302090646580516286927 y[1] (numeric) = -7.001655790755439686524903646498 absolute error = 4.747693781331479821947e-10 relative error = 6.7808157425820810347447123366519e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.756 Order of pole = 0.3313 x[1] = 0.043 y[1] (analytic) = -7.0002906923980215312414321787415 y[1] (numeric) = -7.0002906919225264920569961854744 absolute error = 4.754950391844359932671e-10 relative error = 6.7925041984442260365323372269879e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.755 Order of pole = 0.3313 x[1] = 0.044 y[1] (analytic) = -6.9989256957204459052563157328771 y[1] (numeric) = -6.9989256952442248032714618371753 absolute error = 4.762211019848538957018e-10 relative error = 6.8042028546758745786335186712093e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.755 Order of pole = 0.3313 x[1] = 0.045 y[1] (analytic) = -6.9975608011996607113178298902582 y[1] (numeric) = -6.9975608007227131447102915535062 absolute error = 4.769475666075383367520e-10 relative error = 6.8159117177770076932482105961830e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.755 Order of pole = 0.3313 x[1] = 0.046 y[1] (analytic) = -6.9961960088378456796006225746553 y[1] (numeric) = -6.9961960083601712464749479496791 absolute error = 4.776744331256746249762e-10 relative error = 6.8276307942524645079594238535899e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.755 Order of pole = 0.3313 x[1] = 0.047 y[1] (analytic) = -6.9948313186371817460584808179057 y[1] (numeric) = -6.9948313181587800444459840661051 absolute error = 4.784017016124967518006e-10 relative error = 6.8393600906119463016336301127964e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.755 Order of pole = 0.3313 x[1] = 0.048 y[1] (analytic) = -6.9934667305998510526440956214063 y[1] (numeric) = -6.9934667301207216805028082083031 absolute error = 4.791293721412874131032e-10 relative error = 6.8510996133700205642460297564732e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.754 Order of pole = 0.3313 x[1] = 0.049 y[1] (analytic) = -6.9921022447280369475289729604077 y[1] (numeric) = -6.9921022442481795027435949295959 absolute error = 4.798574447853780308118e-10 relative error = 6.8628493690461250605231454423194e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.754 Order of pole = 0.3313 x[1] = 0.05 y[1] (analytic) = -6.9907378610239239853234909959406 y[1] (numeric) = -6.9907378605433380657053422214173 absolute error = 4.805859196181487745233e-10 relative error = 6.8746093641645718975124638870329e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.754 Order of pole = 0.3313 x[1] = 0.051 y[1] (analytic) = -6.9893735794896979272971035592457 y[1] (numeric) = -6.989373579008383130584074976108 absolute error = 4.813147967130285831377e-10 relative error = 6.8863796052545515959887139815869e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.754 Order of pole = 0.3313 x[1] = 0.052 y[1] (analytic) = -6.9880094001275457415986899736421 y[1] (numeric) = -6.9880093996455016654551947871301 absolute error = 4.820440761434951865120e-10 relative error = 6.8981600988501371657750870683545e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.753 Order of pole = 0.3313 x[1] = 0.053 y[1] (analytic) = -6.9866453229396556034770512788177 y[1] (numeric) = -6.9866453224568818454939761516862 absolute error = 4.827737579830751271315e-10 relative error = 6.9099508514902881849476155384346e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=293.7MB, alloc=4.6MB, time=32.50 Complex estimate of poles used Radius of convergence = 9.753 Order of pole = 0.3313 x[1] = 0.054 y[1] (analytic) = -6.9852813479282168955015529225763 y[1] (numeric) = -6.9852813474447130531962091407786 absolute error = 4.835038423053437817977e-10 relative error = 6.9217518697188548829152113918454e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.753 Order of pole = 0.3313 x[1] = 0.055 y[1] (analytic) = -6.9839174750954202077829139851382 y[1] (numeric) = -6.983917474611185878598988601802 absolute error = 4.842343291839253833362e-10 relative error = 6.9335631600845822274279911163299e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.753 Order of pole = 0.3313 x[1] = 0.056 y[1] (analytic) = -6.9825537044434573381941430011345 y[1] (numeric) = -6.9825537039584921195016499588137 absolute error = 4.849652186924930423208e-10 relative error = 6.9453847291411140154634795941698e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.753 Order of pole = 0.3313 x[1] = 0.057 y[1] (analytic) = -6.9811900359745212925916204444953 y[1] (numeric) = -6.9811900354888247816868516756792 absolute error = 4.856965109047687688161e-10 relative error = 6.9572165834469969680275828694941e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.752 Order of pole = 0.3313 x[1] = 0.058 y[1] (analytic) = -6.9798264696908062850363279414848 y[1] (numeric) = -6.9798264692043780791418044473468 absolute error = 4.864282058945234941380e-10 relative error = 6.9690587295656848288657272121300e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.752 Order of pole = 0.3313 x[1] = 0.059 y[1] (analytic) = -6.9784630055945077380152242771874 y[1] (numeric) = -6.978463005107347434279647184556 absolute error = 4.871603037355770926314e-10 relative error = 6.9809111740655424670781199845911e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.752 Order of pole = 0.3312 x[1] = 0.06 y[1] (analytic) = -6.9770996436878222826627682608074 y[1] (numeric) = -6.97709964319992947816096985734 absolute error = 4.878928045017984034674e-10 relative error = 6.9927739235198499836760744253025e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.752 Order of pole = 0.3312 x[1] = 0.061 y[1] (analytic) = -6.9757363839729477589825885151922 y[1] (numeric) = -6.9757363834843220507154832627351 absolute error = 4.886257082671052524571e-10 relative error = 7.0046469845068068220418523643632e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.752 Order of pole = 0.3312 x[1] = 0.062 y[1] (analytic) = -6.974373226452083216069300256048 y[1] (numeric) = -6.9743732259627242009638357821651 absolute error = 4.893590151054644738829e-10 relative error = 7.0165303636095358823089035957038e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.751 Order of pole = 0.3312 x[1] = 0.063 y[1] (analytic) = -6.9730101711274289123304691263711 y[1] (numeric) = -6.9730101706373361872395771940208 absolute error = 4.900927250908919323503e-10 relative error = 7.0284240674160876397095213902063e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.751 Order of pole = 0.3312 x[1] = 0.064 y[1] (analytic) = -6.9716472180011863157087221516655 y[1] (numeric) = -6.9716472175103594774112696070108 absolute error = 4.908268382974525446547e-10 relative error = 7.0403281025194442668150830067182e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=297.5MB, alloc=4.6MB, time=32.92 Complex estimate of poles used Radius of convergence = 9.751 Order of pole = 0.3312 x[1] = 0.065 y[1] (analytic) = -6.9702843670755581039040058815787 y[1] (numeric) = -6.9702843665839967491047455799117 absolute error = 4.915613547992603016670e-10 relative error = 7.0522424755175237597273487658944e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.751 Order of pole = 0.3312 x[1] = 0.066 y[1] (analytic) = -6.9689216183527481645959917836403 y[1] (numeric) = -6.9689216178604518899255134934007 absolute error = 4.922962746704782902396e-10 relative error = 7.0641671930131840682478142469523e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.751 Order of pole = 0.3312 x[1] = 0.067 y[1] (analytic) = -6.9675589718349615956666289548347 y[1] (numeric) = -6.9675589713419299976813102397084 absolute error = 4.930315979853187151263e-10 relative error = 7.0761022616142272299358975748290e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.75 Order of pole = 0.3312 x[1] = 0.068 y[1] (analytic) = -6.9661964275244047054228442168055 y[1] (numeric) = -6.9661964270306373806048012958818 absolute error = 4.937673248180429209237e-10 relative error = 7.0880476879334035081690083816479e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.75 Order of pole = 0.3312 x[1] = 0.069 y[1] (analytic) = -6.9648339854232850128193896605324 y[1] (numeric) = -6.9648339849287815575764282465032 absolute error = 4.945034552429614140292e-10 relative error = 7.1000034785884155341382471369089e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.75 Order of pole = 0.3312 x[1] = 0.07 y[1] (analytic) = -6.9634716455338112476818377063811 y[1] (numeric) = -6.9634716450385712583474038217644 absolute error = 4.952399893344338846167e-10 relative error = 7.1119696402019224527995419698943e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.75 Order of pole = 0.3312 x[1] = 0.071 y[1] (analytic) = -6.9621094078581933509297237454807 y[1] (numeric) = -6.9621094073622164237628545168494 absolute error = 4.959769271668692286313e-10 relative error = 7.1239461794015440728029320341981e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.749 Order of pole = 0.3312 x[1] = 0.072 y[1] (analytic) = -6.9607472723986424747998364284348 y[1] (numeric) = -6.9607472719019282059851108586335 absolute error = 4.967142688147255698013e-10 relative error = 7.1359331028198650203796414152329e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.749 Order of pole = 0.3312 x[1] = 0.073 y[1] (analytic) = -6.9593852391573709830696556674295 y[1] (numeric) = -6.9593852386599189687171453857604 absolute error = 4.974520143525102816691e-10 relative error = 7.1479304170944388972139719025216e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.749 Order of pole = 0.3312 x[1] = 0.074 y[1] (analytic) = -6.9580233081365924512809384178539 y[1] (numeric) = -6.9580233076384022874261584082143 absolute error = 4.981901638547800096396e-10 relative error = 7.1599381288677924422839677968916e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.749 Order of pole = 0.3312 x[1] = 0.075 y[1] (analytic) = -6.9566614793385216669634523056026 y[1] (numeric) = -6.9566614788395929495673116125567 absolute error = 4.989287173961406930459e-10 relative error = 7.1719562447874296976720286525767e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=301.3MB, alloc=4.6MB, time=33.35 Complex estimate of poles used Radius of convergence = 9.749 Order of pole = 0.3312 x[1] = 0.076 y[1] (analytic) = -6.9552997527653746298588571662895 y[1] (numeric) = -6.9552997522657069548076095790536 absolute error = 4.996676750512475872359e-10 relative error = 7.1839847715058361784012805060337e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.748 Order of pole = 0.3311 x[1] = 0.077 y[1] (analytic) = -6.9539381284193685521447345626463 y[1] (numeric) = -6.9539381279189615152499292769723 absolute error = 5.004070368948052856740e-10 relative error = 7.1960237156804830462184265762805e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.748 Order of pole = 0.3311 x[1] = 0.078 y[1] (analytic) = -6.9525766063027218586587653464437 y[1] (numeric) = -6.9525766058015750556571976043817 absolute error = 5.011468030015677420620e-10 relative error = 7.2080730839738312873860656612733e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.748 Order of pole = 0.3311 x[1] = 0.079 y[1] (analytic) = -6.9512151864176541871230553313241 y[1] (numeric) = -6.9512151859157672136767170388441 absolute error = 5.018869734463382924800e-10 relative error = 7.2201328830533358945000896531326e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.748 Order of pole = 0.3311 x[1] = 0.08 y[1] (analytic) = -6.949853868766386388368609142984 y[1] (numeric) = -6.9498538682637588400646394654423 absolute error = 5.026275483039696775417e-10 relative error = 7.2322031195914500522557059850068e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.748 Order of pole = 0.3311 x[1] = 0.081 y[1] (analytic) = -6.9484926533511405265599523132106 y[1] (numeric) = -6.9484926528477719989105882486389 absolute error = 5.033685276493640645717e-10 relative error = 7.2442838002656293272754784485467e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.747 Order of pole = 0.3311 x[1] = 0.082 y[1] (analytic) = -6.9471315401741398794199016843184 y[1] (numeric) = -6.9471315396700299678624286145196 absolute error = 5.041099115574730697988e-10 relative error = 7.2563749317583358619171915204406e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.747 Order of pole = 0.3311 x[1] = 0.083 y[1] (analytic) = -6.9457705292376089384544841905962 y[1] (numeric) = -6.9457705287327572383511864100285 absolute error = 5.048517001032977805677e-10 relative error = 7.2684765207570425721001495657126e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.747 Order of pole = 0.3311 x[1] = 0.084 y[1] (analytic) = -6.9444096205437734091780040834263 y[1] (numeric) = -6.9444096200381795158161153058557 absolute error = 5.055938933618887775706e-10 relative error = 7.2805885739542373491756209580755e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.747 Order of pole = 0.3311 x[1] = 0.085 y[1] (analytic) = -6.9430488140948602113382586667887 y[1] (numeric) = -6.9430488135885237199299125096942 absolute error = 5.063364914083461570945e-10 relative error = 7.2927110980474272657850791582033e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.746 Order of pole = 0.3311 x[1] = 0.086 y[1] (analytic) = -6.9416881098930974791419026099259 y[1] (numeric) = -6.9416881093860179848240830566368 absolute error = 5.070794943178195532891e-10 relative error = 7.3048440997391427857808946364956e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.746 Order of pole = 0.3311 memory used=305.1MB, alloc=4.6MB, time=33.78 x[1] = 0.087 y[1] (analytic) = -6.9403275079407145614799609039903 y[1] (numeric) = -6.9403275074328916593144527435392 absolute error = 5.078229021655081604511e-10 relative error = 7.3169875857369419781531290767375e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.746 Order of pole = 0.3311 x[1] = 0.088 y[1] (analytic) = -6.9389670082399420221534905295579 y[1] (numeric) = -6.9389670077313753071268297742297 absolute error = 5.085667150266607553282e-10 relative error = 7.3291415627534147350140783320185e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.746 Order of pole = 0.3311 x[1] = 0.089 y[1] (analytic) = -6.9376066107930116400993909019427 y[1] (numeric) = -6.9376066102837007071228151825015 absolute error = 5.093109329765757194412e-10 relative error = 7.3413060375061869936216602678681e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.746 Order of pole = 0.331 x[1] = 0.09 y[1] (analytic) = -6.9362463156021564096163631613014 y[1] (numeric) = -6.9362463150921008535257620998779 absolute error = 5.100555560906010614235e-10 relative error = 7.3534810167179249624356874547720e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.745 Order of pole = 0.331 x[1] = 0.091 y[1] (analytic) = -6.9348861226696105405910183745758 y[1] (numeric) = -6.9348861221588099561468839351964 absolute error = 5.108005844441344393794e-10 relative error = 7.3656665071163393512313351751236e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.745 Order of pole = 0.331 x[1] = 0.092 y[1] (analytic) = -6.9335260319976094587241347163735 y[1] (numeric) = -6.9335260314860634406115115331118 absolute error = 5.115460181126231832617e-10 relative error = 7.3778625154341896052811711284321e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.745 Order of pole = 0.331 x[1] = 0.093 y[1] (analytic) = -6.9321660435883898057570636959406 y[1] (numeric) = -6.9321660430760979485854993786746 absolute error = 5.122918571715643172660e-10 relative error = 7.3900690484092881435724101569922e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.745 Order of pole = 0.331 x[1] = 0.094 y[1] (analytic) = -6.9308061574441894396982854974406 y[1] (numeric) = -6.9308061569311513380017809151953 absolute error = 5.130381016965045822453e-10 relative error = 7.4022861127845046011154588308701e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.745 Order of pole = 0.331 x[1] = 0.095 y[1] (analytic) = -6.9294463735672474350501135008006 y[1] (numeric) = -6.9294463730534626832870730426601 absolute error = 5.137847517630404581405e-10 relative error = 7.4145137153077700752844515808503e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.744 Order of pole = 0.331 x[1] = 0.096 y[1] (analytic) = -6.9280866919598040830355480504522 y[1] (numeric) = -6.9280866914452722755887298640202 absolute error = 5.145318074468181864320e-10 relative error = 7.4267518627320813762689515124684e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.744 Order of pole = 0.331 x[1] = 0.097 y[1] (analytic) = -6.9267271126241008918252795393385 y[1] (numeric) = -6.9267271121088216230017457467301 absolute error = 5.152792688235337926084e-10 relative error = 7.4390005618155052815832926693987e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.744 Order of pole = 0.331 x[1] = 0.098 y[1] (analytic) = -6.9253676355623805867648408756195 y[1] (numeric) = -6.9253676350463534507959077669674 absolute error = 5.160271359689331086521e-10 relative error = 7.4512598193211827946348253341589e-09 % Correct digits = 10 h = 0.001 memory used=309.0MB, alloc=4.6MB, time=34.21 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.744 Order of pole = 0.331 x[1] = 0.099 y[1] (analytic) = -6.9240082607768871106019093995679 y[1] (numeric) = -6.9240082602601117016430976040205 absolute error = 5.167754089588117955474e-10 relative error = 7.4635296420173334074360926071031e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.743 Order of pole = 0.331 x[1] = 0.1 y[1] (analytic) = -6.9226489882698656237137583181896 y[1] (numeric) = -6.9226489877523415358447429523868 absolute error = 5.175240878690153658028e-10 relative error = 7.4758100366772593673453080403410e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.743 Order of pole = 0.331 x[1] = 0.101 y[1] (analytic) = -6.9212898180435625043348577251731 y[1] (numeric) = -6.9212898175252893315594185191794 absolute error = 5.182731727754392059937e-10 relative error = 7.4881010100793499479288190973821e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.743 Order of pole = 0.3309 x[1] = 0.102 y[1] (analytic) = -6.9199307501002253487846252738203 y[1] (numeric) = -6.9199307495812026850305966744955 absolute error = 5.190226637540285993248e-10 relative error = 7.5004025690070857239396745985330e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.743 Order of pole = 0.3309 x[1] = 0.103 y[1] (analytic) = -6.9185717844421029716953265706619 y[1] (numeric) = -6.9185717839223304108145478224544 absolute error = 5.197725608807787482075e-10 relative error = 7.5127147202490428503485878022889e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.743 Order of pole = 0.3309 x[1] = 0.104 y[1] (analytic) = -6.9172129210714454062401253575316 y[1] (numeric) = -6.9172129205509225420083905606708 absolute error = 5.205228642317347968608e-10 relative error = 7.5250374705988973455543130884822e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.742 Order of pole = 0.3309 x[1] = 0.105 y[1] (analytic) = -6.9158541599905039043612835499066 y[1] (numeric) = -6.9158541594692303304782916959817 absolute error = 5.212735738829918539249e-10 relative error = 7.5373708268554293786215830852934e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.742 Order of pole = 0.3309 x[1] = 0.106 y[1] (analytic) = -6.9144955012015309369985111994018 y[1] (numeric) = -6.9144955006795062470878161843033 absolute error = 5.220246899106950150985e-10 relative error = 7.5497147958225275607097921741617e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.742 Order of pole = 0.3309 x[1] = 0.107 y[1] (analytic) = -6.9131369447067801943174664483407 y[1] (numeric) = -6.913136944184003981926427062549 absolute error = 5.227762123910393857917e-10 relative error = 7.5620693843091932405795814560530e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.742 Order of pole = 0.3309 x[1] = 0.108 y[1] (analytic) = -6.9117784905085065859384055443924 y[1] (numeric) = -6.9117784899849784445381354405939 absolute error = 5.235281414002701037985e-10 relative error = 7.5744345991295448042393644150959e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.741 Order of pole = 0.3309 x[1] = 0.109 y[1] (analytic) = -6.9104201386089662411649829833182 y[1] (numeric) = -6.9104201380846857641503006213305 absolute error = 5.242804770146823619877e-10 relative error = 7.5868104471028219787186795411157e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=312.8MB, alloc=4.6MB, time=34.64 Complex estimate of poles used Radius of convergence = 9.741 Order of pole = 0.3309 x[1] = 0.11 y[1] (analytic) = -6.9090618890104165092132018479233 y[1] (numeric) = -6.9090618884853832899025804169118 absolute error = 5.250332193106214310115e-10 relative error = 7.5991969350533901399624705426980e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.741 Order of pole = 0.3309 x[1] = 0.111 y[1] (analytic) = -6.9077037417151159594405144113721 y[1] (numeric) = -6.9077037411893295910760317293371 absolute error = 5.257863683644826820350e-10 relative error = 7.6115940698107446248968423337304e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.741 Order of pole = 0.3309 x[1] = 0.112 y[1] (analytic) = -6.9063456967253243815750730730721 y[1] (numeric) = -6.9063456961987844573223614635898 absolute error = 5.265399242527116094823e-10 relative error = 7.6240018582095150476083228417756e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.741 Order of pole = 0.3308 x[1] = 0.113 y[1] (analytic) = -6.9049877540433027859451316953949 y[1] (numeric) = -6.9049877535160088988933278415937 absolute error = 5.272938870518038538012e-10 relative error = 7.6364203070894696196698059849605e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.74 Order of pole = 0.3308 x[1] = 0.114 y[1] (analytic) = -6.9036299136713134037085974095572 y[1] (numeric) = -6.9036299131432651468702921853089 absolute error = 5.280482568383052242483e-10 relative error = 7.6488494232955194746435044684273e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.74 Order of pole = 0.3308 x[1] = 0.115 y[1] (analytic) = -6.9022721756116196870827329590363 y[1] (numeric) = -6.9022721750828166533939212373452 absolute error = 5.288030336888117216911e-10 relative error = 7.6612892136777229967159493844787e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.74 Order of pole = 0.3308 x[1] = 0.116 y[1] (analytic) = -6.9009145398664863095740096489565 y[1] (numeric) = -6.9009145393369280918940400875273 absolute error = 5.295582176799695614292e-10 relative error = 7.6737396850912901534997005190450e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.74 Order of pole = 0.3308 x[1] = 0.117 y[1] (analytic) = -6.8995570064381791662081109699359 y[1] (numeric) = -6.8995570059078653573196357739011 absolute error = 5.303138088884751960348e-10 relative error = 7.6862008443965868330089459507853e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.739 Order of pole = 0.3308 x[1] = 0.118 y[1] (analytic) = -6.898199575328965373760086964938 y[1] (numeric) = -6.8981995747978955663690116267271 absolute error = 5.310698073910753382109e-10 relative error = 7.6986726984591391847900851705053e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.739 Order of pole = 0.3308 x[1] = 0.119 y[1] (analytic) = -6.8968422465411132709846594077326 y[1] (numeric) = -6.8968422460092870577200924240633 absolute error = 5.318262132645669836693e-10 relative error = 7.7111552541496379652420060248289e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.739 Order of pole = 0.3308 x[1] = 0.12 y[1] (analytic) = -6.8954850200768924188466778616228 y[1] (numeric) = -6.8954850195443093922608804275958 absolute error = 5.325830265857974340270e-10 relative error = 7.7236485183439428871100607023462e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=316.6MB, alloc=4.6MB, time=35.07 Complex estimate of poles used Radius of convergence = 9.739 Order of pole = 0.3308 x[1] = 0.121 y[1] (analytic) = -6.894127895938573600751726687152 y[1] (numeric) = -6.8941278954052333533200623674316 absolute error = 5.333402474316643197204e-10 relative error = 7.7361524979230869731493229642111e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.739 Order of pole = 0.3307 x[1] = 0.122 y[1] (analytic) = -6.8927708741284288227768830675635 y[1] (numeric) = -6.8927708735943309468977674446243 absolute error = 5.340978758791156229392e-10 relative error = 7.7486671997732809139889698474043e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.738 Order of pole = 0.3307 x[1] = 0.123 y[1] (analytic) = -6.8914139546487313139016261208399 y[1] (numeric) = -6.8914139541138754018964764202599 absolute error = 5.348559120051497005800e-10 relative error = 7.7611926307859174302021087904610e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.738 Order of pole = 0.3307 x[1] = 0.124 y[1] (analytic) = -6.890057137501755526238897167203 y[1] (numeric) = -6.8900571369661411703520818599866 absolute error = 5.356143558868153072164e-10 relative error = 7.7737287978575756385389322895520e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.738 Order of pole = 0.3307 x[1] = 0.125 y[1] (analytic) = -6.8887004226897771352663112210173 y[1] (numeric) = -6.888700422153403927665099602928 absolute error = 5.363732076012116180893e-10 relative error = 7.7862757078900254223811779484184e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.738 Order of pole = 0.3307 x[1] = 0.126 y[1] (analytic) = -6.8873438102150730400575197760926 y[1] (numeric) = -6.887343809677940572832031523976 absolute error = 5.371324672254882521166e-10 relative error = 7.7988333677902318064106240129737e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.737 Order of pole = 0.3307 x[1] = 0.127 y[1] (analytic) = -6.8859873000799213635137249534367 y[1] (numeric) = -6.8859872995420292286768796585168 absolute error = 5.378921348368452949199e-10 relative error = 7.8114017844703593354611015083934e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.737 Order of pole = 0.3307 x[1] = 0.128 y[1] (analytic) = -6.8846308922866014525953450805715 y[1] (numeric) = -6.8846308917479492420828117586989 absolute error = 5.386522105125333218726e-10 relative error = 7.8239809648477764576222248009468e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.737 Order of pole = 0.3307 x[1] = 0.129 y[1] (analytic) = -6.8832745868373938785538317715728 y[1] (numeric) = -6.8832745862979811842239783504092 absolute error = 5.394126943298534211636e-10 relative error = 7.8365709158450599115149627244837e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.737 Order of pole = 0.3307 x[1] = 0.13 y[1] (analytic) = -6.8819183837345804371636385770629 y[1] (numeric) = -6.8819183831944068507974813601796 absolute error = 5.401735863661572168833e-10 relative error = 7.8491716443899991178406799438174e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.737 Order of pole = 0.3306 x[1] = 0.131 y[1] (analytic) = -6.8805622829804441489543412734296 y[1] (numeric) = -6.8805622824395092622554943813038 absolute error = 5.409348866988468921258e-10 relative error = 7.8617831574156005751194052576913e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=320.4MB, alloc=4.6MB, time=35.50 Complex estimate of poles used Radius of convergence = 9.736 Order of pole = 0.3306 x[1] = 0.132 y[1] (analytic) = -6.8792062845772692594429098606111 y[1] (numeric) = -6.8792062840355726640375346484994 absolute error = 5.416965954053752121117e-10 relative error = 7.8744054618600922596855826389508e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.736 Order of pole = 0.3306 x[1] = 0.133 y[1] (analytic) = -6.8778503885273412393661323378378 y[1] (numeric) = -6.877850387984882526802886790509 absolute error = 5.424587125632455473288e-10 relative error = 7.8870385646669280299064366158595e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.736 Order of pole = 0.3306 x[1] = 0.134 y[1] (analytic) = -6.8764945948329467849131903267813 y[1] (numeric) = -6.8764945942897255466631784300887 absolute error = 5.432212382500118966926e-10 relative error = 7.8996824727847920346549212064769e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.736 Order of pole = 0.3306 x[1] = 0.135 y[1] (analytic) = -6.8751389034963738179583866116165 y[1] (numeric) = -6.8751389029523896454151077008911 absolute error = 5.439841725432789107254e-10 relative error = 7.9123371931676031260241801231092e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.735 Order of pole = 0.3306 x[1] = 0.136 y[1] (analytic) = -6.8737833145199114862940246655584 y[1] (numeric) = -6.8737833139751639707733227508056 absolute error = 5.447475155207019147528e-10 relative error = 7.9250027327745192762704233975923e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.735 Order of pole = 0.3306 x[1] = 0.137 y[1] (analytic) = -6.8724278279058501638634402334986 y[1] (numeric) = -6.8724278273603388966034533013759 absolute error = 5.455112672599869321227e-10 relative error = 7.9376790985699419990627736393604e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.735 Order of pole = 0.3306 x[1] = 0.138 y[1] (analytic) = -6.8710724436564814509941850404121 y[1] (numeric) = -6.8710724431102060231552943329721 absolute error = 5.462754278388907074400e-10 relative error = 7.9503662975235207749455673194631e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.735 Order of pole = 0.3306 x[1] = 0.139 y[1] (analytic) = -6.8697171617740981746313626952729 y[1] (numeric) = -6.8697171612270581772961419654511 absolute error = 5.470399973352207298218e-10 relative error = 7.9630643366101574810873023629341e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.735 Order of pole = 0.3305 x[1] = 0.14 y[1] (analytic) = -6.8683619822609943885711168602679 y[1] (numeric) = -6.8683619817131894127442816040966 absolute error = 5.478049758268352561713e-10 relative error = 7.9757732228100108252944457322516e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.734 Order of pole = 0.3305 x[1] = 0.141 y[1] (analytic) = -6.867006905119465373694271755158 y[1] (numeric) = -6.8670069045708950103026284206867 absolute error = 5.485703633916433344713e-10 relative error = 7.9884929631085007843075967729447e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.734 Order of pole = 0.3305 x[1] = 0.142 y[1] (analytic) = -6.8656519303518076382001250666898 y[1] (numeric) = -6.8656519298024714780925202395947 absolute error = 5.493361601076048270951e-10 relative error = 8.0012235644963130463523754615986e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.734 Order of pole = 0.3305 memory used=324.2MB, alloc=4.6MB, time=35.94 x[1] = 0.143 y[1] (analytic) = -6.8642970579603189178403933330236 y[1] (numeric) = -6.8642970574102165517876628988847 absolute error = 5.501023660527304341389e-10 relative error = 8.0139650339694034580091383528300e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.734 Order of pole = 0.3305 x[1] = 0.144 y[1] (analytic) = -6.8629422879472981761533098731941 y[1] (numeric) = -6.8629422873964291948482281564227 absolute error = 5.508689813050817167714e-10 relative error = 8.0267173785290024753433278242779e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.733 Order of pole = 0.3305 x[1] = 0.145 y[1] (analytic) = -6.8615876203150456046978753316826 y[1] (numeric) = -6.8615876197634095987551042110797 absolute error = 5.516360059427711206029e-10 relative error = 8.0394806051816196193343539819771e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.733 Order of pole = 0.3305 x[1] = 0.146 y[1] (analytic) = -6.8602330550658626232882609082351 y[1] (numeric) = -6.8602330545134591832442989091608 absolute error = 5.524034400439619990743e-10 relative error = 8.0522547209390479356132706515813e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.733 Order of pole = 0.3305 x[1] = 0.147 y[1] (analytic) = -6.858878592202051880228364343116 y[1] (numeric) = -6.8588785916488805965414957062521 absolute error = 5.531712836868686368639e-10 relative error = 8.0650397328183684584830720172691e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.733 Order of pole = 0.3304 x[1] = 0.148 y[1] (analytic) = -6.8575242317259172525465187280486 y[1] (numeric) = -6.8575242311719777155967624547344 absolute error = 5.539395369497562733142e-10 relative error = 8.0778356478419546792580979893996e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.733 Order of pole = 0.3304 x[1] = 0.149 y[1] (analytic) = -6.8561699736397638462303542131486 y[1] (numeric) = -6.8561699730850556463194130872699 absolute error = 5.547081999109411258787e-10 relative error = 8.0906424730374770189270041919206e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.732 Order of pole = 0.3304 x[1] = 0.15 y[1] (analytic) = -6.8548158179458979964618126802111 y[1] (numeric) = -6.854815817390420723813022266626 absolute error = 5.554772726487904135851e-10 relative error = 8.1034602154379073050912397018829e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.732 Order of pole = 0.3304 x[1] = 0.151 y[1] (analytic) = -6.8534617646466272678523154527791 y[1] (numeric) = -6.8534617640903805126105930722575 absolute error = 5.562467552417223805216e-10 relative error = 8.1162888820815232532811867474390e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.732 Order of pole = 0.3304 x[1] = 0.152 y[1] (analytic) = -6.8521078137442604546780841134637 y[1] (numeric) = -6.8521078131872438069098777941259 absolute error = 5.570166477682063193378e-10 relative error = 8.1291284800119129525304465407045e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.732 Order of pole = 0.3304 x[1] = 0.153 y[1] (analytic) = -6.8507539652411075811156144990622 y[1] (numeric) = -6.8507539646833206308088519042928 absolute error = 5.577869503067625947694e-10 relative error = 8.1419790162779793553469301898543e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.731 Order of pole = 0.3304 x[1] = 0.154 y[1] (analytic) = -6.8494002191394799014773039440594 y[1] (numeric) = -6.8494002185809222385413412768809 memory used=328.0MB, alloc=4.6MB, time=36.37 absolute error = 5.585576629359626671785e-10 relative error = 8.1548404979339447719655940790963e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.731 Order of pole = 0.3304 x[1] = 0.155 y[1] (analytic) = -6.8480465754416899004472318431717 y[1] (numeric) = -6.8480465748823611147128027270555 absolute error = 5.593287857344291161162e-10 relative error = 8.1677129320393553689850552778863e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.731 Order of pole = 0.3303 x[1] = 0.156 y[1] (analytic) = -6.8466930341500512933170936036356 y[1] (numeric) = -6.846693033589950974536257939735 absolute error = 5.601003187808356639006e-10 relative error = 8.1805963256590856722918462228350e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.731 Order of pole = 0.3303 x[1] = 0.157 y[1] (analytic) = -6.8453395952668790262222880580178 y[1] (numeric) = -6.8453395947060067640683808587989 absolute error = 5.608722621539071992189e-10 relative error = 8.1934906858633430744038059514638e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.731 Order of pole = 0.3303 x[1] = 0.158 y[1] (analytic) = -6.8439862587944892763781584083614 y[1] (numeric) = -6.8439862582328446604457386076172 absolute error = 5.616446159324198007442e-10 relative error = 8.2063960197276723460998454598853e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.73 Order of pole = 0.3303 x[1] = 0.159 y[1] (analytic) = -6.8426330247351994523163867725603 y[1] (numeric) = -6.842633024172782072121186011786 absolute error = 5.624173801952007607743e-10 relative error = 8.2193123343329601524471707819967e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.73 Order of pole = 0.3303 x[1] = 0.16 y[1] (analytic) = -6.841279893091328194121542403898 y[1] (numeric) = -6.8412798925281376391004137950084 absolute error = 5.631905550211286088896e-10 relative error = 8.2322396367654395731881262773015e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.73 Order of pole = 0.3303 x[1] = 0.161 y[1] (analytic) = -6.8399268638651953736677836547508 y[1] (numeric) = -6.8399268633012312331786505191211 absolute error = 5.639641404891331356297e-10 relative error = 8.2451779341166946274853088164271e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.73 Order of pole = 0.3303 x[1] = 0.162 y[1] (analytic) = -6.8385739370591220948557137555114 y[1] (numeric) = -6.8385739364943839581775183393233 absolute error = 5.647381366781954161881e-10 relative error = 8.2581272334836648030206748283924e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.729 Order of pole = 0.3302 x[1] = 0.163 y[1] (analytic) = -6.8372211126754306938493904798523 y[1] (numeric) = -6.8372211121099181501820426457223 absolute error = 5.655125436673478341300e-10 relative error = 8.2710875419686495895262580192096e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.729 Order of pole = 0.3302 x[1] = 0.164 y[1] (analytic) = -6.8358683907164447393134897674947 y[1] (numeric) = -6.8358683901501573777778156623693 absolute error = 5.662873615356741051254e-10 relative error = 8.2840588666793130166369888377954e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.729 Order of pole = 0.3302 x[1] = 0.165 y[1] (analytic) = -6.8345157711844890326506233757212 y[1] (numeric) = -6.8345157706174264422883140750173 absolute error = 5.670625903623093007039e-10 relative error = 8.2970412147286881961637002722537e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=331.8MB, alloc=4.6MB, time=36.80 Complex estimate of poles used Radius of convergence = 9.729 Order of pole = 0.3302 x[1] = 0.166 y[1] (analytic) = -6.8331632540818896082388106309171 y[1] (numeric) = -6.8331632535140513780123707588888 absolute error = 5.678382302264398720283e-10 relative error = 8.3100345932351818687484569354921e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.729 Order of pole = 0.3302 x[1] = 0.167 y[1] (analytic) = -6.8318108394109737336691043514897 y[1] (numeric) = -6.8318108388423594524618006778027 absolute error = 5.686142812073036736870e-10 relative error = 8.3230390093225789549067308868676e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.728 Order of pole = 0.3302 x[1] = 0.168 y[1] (analytic) = -6.8304585271740699099833710135729 y[1] (numeric) = -6.8304585266046791665991810260648 absolute error = 5.693907433841899875081e-10 relative error = 8.3360544701200471105034096705699e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.728 Order of pole = 0.3302 x[1] = 0.169 y[1] (analytic) = -6.8291063173735078719122252309763 y[1] (numeric) = -6.8291063168033402550757856845874 absolute error = 5.701676168364395463889e-10 relative error = 8.3490809827621412865749769788963e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.728 Order of pole = 0.3301 x[1] = 0.17 y[1] (analytic) = -6.8277542100116185881131186209085 y[1] (numeric) = -6.8277542094406736864696740627591 absolute error = 5.709449016434445581494e-10 relative error = 8.3621185543888082936282923877952e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.728 Order of pole = 0.3301 x[1] = 0.171 y[1] (analytic) = -6.8264022050907342614085831270486 y[1] (numeric) = -6.8264022045190116635239343976468 absolute error = 5.717225978846487294018e-10 relative error = 8.3751671921453913703034277788410e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.727 Order of pole = 0.3301 x[1] = 0.172 y[1] (analytic) = -6.8250503026131883290246288716102 y[1] (numeric) = -6.8250503020406876233850815821689 absolute error = 5.725007056395472894413e-10 relative error = 8.3882269031826347564827080227458e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.727 Order of pole = 0.3301 x[1] = 0.173 y[1] (analytic) = -6.8236985025813154628292966080936 y[1] (numeric) = -6.8236985020080362378416095939375 absolute error = 5.732792249876870141561e-10 relative error = 8.4012976946566882708197860885934e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.727 Order of pole = 0.3301 x[1] = 0.174 y[1] (analytic) = -6.8223468049974515695713648464814 y[1] (numeric) = -6.8223468044233934135626985965257 absolute error = 5.740581560086662499557e-10 relative error = 8.4143795737291118926801284709785e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.727 Order of pole = 0.3301 x[1] = 0.175 y[1] (analytic) = -6.8209952098639337911192117226969 y[1] (numeric) = -6.8209952092890962923370767849753 absolute error = 5.748374987821349377216e-10 relative error = 8.4274725475668803485575742051589e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.726 Order of pole = 0.3301 x[1] = 0.176 y[1] (analytic) = -6.8196437171831005046998316841925 y[1] (numeric) = -6.8196437166074832513120370474186 absolute error = 5.756172533877946367739e-10 relative error = 8.4405766233423877028762978840483e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=335.7MB, alloc=4.6MB, time=37.23 Complex estimate of poles used Radius of convergence = 9.726 Order of pole = 0.33 x[1] = 0.177 y[1] (analytic) = -6.8182923269572913231380070636058 y[1] (numeric) = -6.8182923263808939032326085147458 absolute error = 5.763974199053985488600e-10 relative error = 8.4536918082334519532736249102428e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.726 Order of pole = 0.33 x[1] = 0.178 y[1] (analytic) = -6.816941039188847095095634612472 y[1] (numeric) = -6.8169410386116690966808830703097 absolute error = 5.771779984147515421623e-10 relative error = 8.4668181094233196303228717266585e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.726 Order of pole = 0.33 x[1] = 0.179 y[1] (analytic) = -6.815589853880109905311207067042 y[1] (numeric) = -6.8155898533021509163154968917167 absolute error = 5.779589889957101753253e-10 relative error = 8.4799555341006704017066698074245e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.726 Order of pole = 0.33 x[1] = 0.18 y[1] (analytic) = -6.8142387710334230748394498183152 y[1] (numeric) = -6.8142387704546826831112670968133 absolute error = 5.787403917281827215019e-10 relative error = 8.4931040894596216808424416391382e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.725 Order of pole = 0.33 x[1] = 0.181 y[1] (analytic) = -6.8128877906511311612911127584542 y[1] (numeric) = -6.8128877900716089545989835660343 absolute error = 5.795222066921291924199e-10 relative error = 8.5062637826997332399793111912006e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.725 Order of pole = 0.33 x[1] = 0.182 y[1] (analytic) = -6.8115369127355799590729173758089 y[1] (numeric) = -6.8115369121552755251053560133402 absolute error = 5.803044339675613624687e-10 relative error = 8.5194346210260118277710789370606e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.725 Order of pole = 0.33 x[1] = 0.183 y[1] (analytic) = -6.8101861372891164996276591708318 y[1] (numeric) = -6.8101861367080294259931163780278 absolute error = 5.810870736345427928040e-10 relative error = 8.5326166116489157912975922205371e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.725 Order of pole = 0.3299 x[1] = 0.184 y[1] (analytic) = -6.8088354643140890516744654652322 y[1] (numeric) = -6.8088354637322189259012766097587 absolute error = 5.818701257731888554735e-10 relative error = 8.5458097617843597025831671407834e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.724 Order of pole = 0.3299 x[1] = 0.185 y[1] (analytic) = -6.8074848938128471214492086767708 y[1] (numeric) = -6.8074848932301935309855419192088 absolute error = 5.826535904636667575620e-10 relative error = 8.5590140786537189895932206183497e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.724 Order of pole = 0.3299 x[1] = 0.186 y[1] (analytic) = -6.8061344257877414529450751321564 y[1] (numeric) = -6.8061344252043039851588795668003 absolute error = 5.834374677861955653561e-10 relative error = 8.5722295694838345717166860498341e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.724 Order of pole = 0.3299 x[1] = 0.187 y[1] (analytic) = -6.8047840602411240281532894905663 y[1] (numeric) = -6.8047840596569022703322432620386 absolute error = 5.842217578210462285277e-10 relative error = 8.5854562415070174997271003683634e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=339.5MB, alloc=4.6MB, time=37.65 Complex estimate of poles used Radius of convergence = 9.724 Order of pole = 0.3299 x[1] = 0.188 y[1] (analytic) = -6.8034337971753480673039948503734 y[1] (numeric) = -6.8034337965903416066554532460332 absolute error = 5.850064606485416043402e-10 relative error = 8.5986941019610536002843197233473e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.724 Order of pole = 0.3299 x[1] = 0.189 y[1] (analytic) = -6.8020836365927680291072886117138 y[1] (numeric) = -6.8020836360069764527582321298436 absolute error = 5.857915763490564818702e-10 relative error = 8.6119431580892081248757320143097e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.723 Order of pole = 0.3299 x[1] = 0.19 y[1] (analytic) = -6.8007335784957396109944141676 y[1] (numeric) = -6.800733577909162505991396561348 absolute error = 5.865771050030176062520e-10 relative error = 8.6252034171402304033088840975792e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.723 Order of pole = 0.3298 x[1] = 0.191 y[1] (analytic) = -6.7993836228866197493591084963349 y[1] (numeric) = -6.7993836222992567026682047933935 absolute error = 5.873630466909037029414e-10 relative error = 8.6384748863683585017087792633158e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.723 Order of pole = 0.3298 x[1] = 0.192 y[1] (analytic) = -6.7980337697677666197991057280431 y[1] (numeric) = -6.7980337691796172183058602260449 absolute error = 5.881494014932455019982e-10 relative error = 8.6517575730333238850156836154161e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.723 Order of pole = 0.3298 x[1] = 0.193 y[1] (analytic) = -6.7966840191415396373577967581991 y[1] (numeric) = -6.7966840185526034678671709958097 absolute error = 5.889361694906257623894e-10 relative error = 8.6650514844003560840175252387955e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.722 Order of pole = 0.3298 x[1] = 0.194 y[1] (analytic) = -6.7953343710102994567660449810865 y[1] (numeric) = -6.7953343704205761060023656847746 absolute error = 5.897233507636792963119e-10 relative error = 8.6783566277401873669039309768534e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.722 Order of pole = 0.3298 x[1] = 0.195 y[1] (analytic) = -6.793984825376407972684158216186 y[1] (numeric) = -6.7939848247858970272910652226502 absolute error = 5.905109453930929935358e-10 relative error = 8.6916730103290574153627764311636e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.722 Order of pole = 0.3298 x[1] = 0.196 y[1] (analytic) = -6.7926353822422283199440169005443 y[1] (numeric) = -6.7926353816509293664844110547785 absolute error = 5.912989534596058457658e-10 relative error = 8.7050006394487180051871573029488e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.722 Order of pole = 0.3297 x[1] = 0.197 y[1] (analytic) = -6.791286041610124873791358620243 y[1] (numeric) = -6.7912860410180374987473496492185 absolute error = 5.920873750440089710245e-10 relative error = 8.7183395223864376914534030170051e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.721 Order of pole = 0.3297 x[1] = 0.198 y[1] (analytic) = -6.789936803482463250128219054138 y[1] (numeric) = -6.7899368028895870399010734160841 absolute error = 5.928762102271456380539e-10 relative error = 8.7316896664350064982203902643659e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.721 Order of pole = 0.3297 memory used=343.3MB, alloc=4.6MB, time=38.08 x[1] = 0.199 y[1] (analytic) = -6.7885876678616103057555294031067 y[1] (numeric) = -6.7885876672679448466656181123686 absolute error = 5.936654590899112907381e-10 relative error = 8.7450510788927406127990279478771e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.721 Order of pole = 0.3297 x[1] = 0.2 y[1] (analytic) = -6.7872386347499341386158703780936 y[1] (numeric) = -6.7872386341554790169026168055493 absolute error = 5.944551217132535725443e-10 relative error = 8.7584237670634870845539327864814e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.721 Order of pole = 0.3297 x[1] = 0.201 y[1] (analytic) = -6.7858897041498040880363828203126 y[1] (numeric) = -6.7858897035545588898582104693259 absolute error = 5.952451981781723509867e-10 relative error = 8.7718077382566285283097757741870e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.721 Order of pole = 0.3297 x[1] = 0.202 y[1] (analytic) = -6.7845408760635907349718350270122 y[1] (numeric) = -6.7845408754675550464061152849064 absolute error = 5.960356885657197421058e-10 relative error = 8.7852029997870878322565462344808e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.72 Order of pole = 0.3296 x[1] = 0.203 y[1] (analytic) = -6.7831921504936659022478468562853 y[1] (numeric) = -6.7831921498968393092908467213131 absolute error = 5.968265929570001349722e-10 relative error = 8.7986095589753328704925323962501e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.72 Order of pole = 0.3296 x[1] = 0.204 y[1] (analytic) = -6.7818435274424026548042706844503 y[1] (numeric) = -6.781843526844784743371100468242 absolute error = 5.976179114331702162083e-10 relative error = 8.8120274231473812201125356615829e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.72 Order of pole = 0.3296 x[1] = 0.205 y[1] (analytic) = -6.7804950069121752999387292895969 y[1] (numeric) = -6.7804950063137656558632902950686 absolute error = 5.984096440754389945283e-10 relative error = 8.8254565996348048828519237406595e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.72 Order of pole = 0.3296 x[1] = 0.206 y[1] (analytic) = -6.779146588905359387550310734955 y[1] (numeric) = -6.7791465883061575965852429096531 absolute error = 5.992017909650678253019e-10 relative error = 8.8388970957747350113708981893829e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.719 Order of pole = 0.3296 x[1] = 0.207 y[1] (analytic) = -6.7777982734243317103834203257933 y[1] (numeric) = -6.7777982728243373582000498906578 absolute error = 5.999943521833704351355e-10 relative error = 8.8523489189098666400923370246510e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.719 Order of pole = 0.3296 x[1] = 0.208 y[1] (analytic) = -6.7764500604714703042717897136234 y[1] (numeric) = -6.7764500598706829764600767671498 absolute error = 6.007873278117129464736e-10 relative error = 8.8658120763884634206377702433328e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.719 Order of pole = 0.3295 x[1] = 0.209 y[1] (analytic) = -6.7751019500491544483826432215438 y[1] (numeric) = -6.7751019494475737304511293193224 absolute error = 6.015807179315139022214e-10 relative error = 8.8792865755643623618810230094538e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.719 Order of pole = 0.3295 x[1] = 0.21 y[1] (analytic) = -6.7737539421597646654610214646138 y[1] (numeric) = -6.7737539415573901428367771742279 absolute error = 6.023745226242442903859e-10 relative error = 8.8927724237969785745844676450639e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=347.1MB, alloc=4.6MB, time=38.50 Complex estimate of poles used Radius of convergence = 9.718 Order of pole = 0.3295 x[1] = 0.211 y[1] (analytic) = -6.7724060368056827220742623392142 y[1] (numeric) = -6.772406036202513980102834770476 absolute error = 6.031687419714275687382e-10 relative error = 8.9062696284513100206625029181587e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.718 Order of pole = 0.3295 x[1] = 0.212 y[1] (analytic) = -6.7710582339892916288566394554074 y[1] (numeric) = -6.771058233385328252801999765911 absolute error = 6.039633760546396894964e-10 relative error = 8.9197781968979422670682111984454e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.718 Order of pole = 0.3295 x[1] = 0.213 y[1] (analytic) = -6.7697105337129756407541580863687 y[1] (numeric) = -6.7697105331082172157986489623425 absolute error = 6.047584249555091240262e-10 relative error = 8.9332981365130532442651605864788e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.718 Order of pole = 0.3295 x[1] = 0.214 y[1] (analytic) = -6.768362935979120257269508709028 y[1] (numeric) = -6.7683629353735663685137918214629 absolute error = 6.055538887557168875651e-10 relative error = 8.9468294546784180093762730603456e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.717 Order of pole = 0.3294 x[1] = 0.215 y[1] (analytic) = -6.7670154407901122227071782101106 y[1] (numeric) = -6.7670154401837624551701816461477 absolute error = 6.063497675369965639629e-10 relative error = 8.9603721587814135139067601434429e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.717 Order of pole = 0.3294 x[1] = 0.216 y[1] (analytic) = -6.7656680481483395264187188318392 y[1] (numeric) = -6.7656680475411934650375845013928 absolute error = 6.071460613811343304464e-10 relative error = 8.9739262562150233761626250214290e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.717 Order of pole = 0.3294 x[1] = 0.217 y[1] (analytic) = -6.7643207580561914030481749316053 y[1] (numeric) = -6.7643207574482486326782059492056 absolute error = 6.079427703699689823997e-10 relative error = 8.9874917543778426582424945715961e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.717 Order of pole = 0.3294 x[1] = 0.218 y[1] (analytic) = -6.7629735705160583327776676299945 y[1] (numeric) = -6.7629735699073184381922756718245 absolute error = 6.087398945853919581700e-10 relative error = 9.0010686606740826477538960987549e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.717 Order of pole = 0.3294 x[1] = 0.219 y[1] (analytic) = -6.7616264855303320415731374215937 y[1] (numeric) = -6.7616264849207946074637900577054 absolute error = 6.095374341093473638883e-10 relative error = 9.0146569825135756441021507947057e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.716 Order of pole = 0.3294 x[1] = 0.22 y[1] (analytic) = -6.7602795031014055014302448230856 y[1] (numeric) = -6.7602795024910701124064128247713 absolute error = 6.103353890238319983143e-10 relative error = 9.0282567273117797494941782546720e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.716 Order of pole = 0.3293 x[1] = 0.221 y[1] (analytic) = -6.7589326232316729306204291331832 y[1] (numeric) = -6.7589326226205391712095337554838 absolute error = 6.111337594108953776994e-10 relative error = 9.0418679024897836645718844678390e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=350.9MB, alloc=4.6MB, time=38.93 Complex estimate of poles used Radius of convergence = 9.716 Order of pole = 0.3293 x[1] = 0.222 y[1] (analytic) = -6.7575858459235297939371253790249 y[1] (numeric) = -6.7575858453115972485844856183546 absolute error = 6.119325453526397606703e-10 relative error = 9.0554905154743114887169318427560e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.716 Order of pole = 0.3293 x[1] = 0.223 y[1] (analytic) = -6.7562391711793728029421395237113 y[1] (numeric) = -6.7562391705666410560109193505774 absolute error = 6.127317469312201731339e-10 relative error = 9.0691245736977275250421122793698e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.715 Order of pole = 0.3293 x[1] = 0.224 y[1] (analytic) = -6.754892599001599916212182009721 y[1] (numeric) = -6.7548925983880685519833375765197 absolute error = 6.135313642288444332013e-10 relative error = 9.0827700845980410900416345509548e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.715 Order of pole = 0.3293 x[1] = 0.225 y[1] (analytic) = -6.7535461293926103395855597130087 y[1] (numeric) = -6.7535461287782789422577865368766 absolute error = 6.143313973277731761321e-10 relative error = 9.0964270556189113279229348331353e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.715 Order of pole = 0.3293 x[1] = 0.226 y[1] (analytic) = -6.7521997623548045264090263826473 y[1] (numeric) = -6.7521997617396726800987065033477 absolute error = 6.151318463103198792996e-10 relative error = 9.1100954942096520296337671150543e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.715 Order of pole = 0.3292 x[1] = 0.227 y[1] (analytic) = -6.7508534978905841777847916409384 y[1] (numeric) = -6.7508534972746514665259407537612 absolute error = 6.159327112588508871772e-10 relative error = 9.1237754078252364565939061077825e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.714 Order of pole = 0.3292 x[1] = 0.228 y[1] (analytic) = -6.7495073360023522428176886189702 y[1] (numeric) = -6.7495073353856182505619031826282 absolute error = 6.167339922557854363420e-10 relative error = 9.1374668039263021690770996111922e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.714 Order of pole = 0.3292 x[1] = 0.229 y[1] (analytic) = -6.7481612766925129188625003026759 y[1] (numeric) = -6.7481612760749772294789046221731 absolute error = 6.175356893835956805028e-10 relative error = 9.1511696899791558593547894911360e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.714 Order of pole = 0.3292 x[1] = 0.23 y[1] (analytic) = -6.7468153199634716517714446644914 y[1] (numeric) = -6.7468153193451338490466379489462 absolute error = 6.183378027248067155452e-10 relative error = 9.1648840734557781894983800123675e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.714 Order of pole = 0.3292 x[1] = 0.231 y[1] (analytic) = -6.7454694658176351361418186557832 y[1] (numeric) = -6.745469465198494803779822051185 absolute error = 6.191403323619966045982e-10 relative error = 9.1786099618338286339101150447157e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.714 Order of pole = 0.3292 x[1] = 0.232 y[1] (analytic) = -6.7441237142574113155638011352771 y[1] (numeric) = -6.7441237136374680371860047321537 absolute error = 6.199432783777964031234e-10 relative error = 9.1923473625966503266038038379229e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=354.7MB, alloc=4.6MB, time=39.36 Complex estimate of poles used Radius of convergence = 9.713 Order of pole = 0.3291 x[1] = 0.233 y[1] (analytic) = -6.74277806528520938286841480877 y[1] (numeric) = -6.7427780646644627420135246247503 absolute error = 6.207466408548901840197e-10 relative error = 9.2060962832332749131350551661478e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.713 Order of pole = 0.3291 x[1] = 0.234 y[1] (analytic) = -6.7414325189034397803756472554858 y[1] (numeric) = -6.7414325182818893604996321927319 absolute error = 6.215504198760150627539e-10 relative error = 9.2198567312384274073401059502387e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.713 Order of pole = 0.3291 x[1] = 0.235 y[1] (analytic) = -6.7400870751145142001427311164778 y[1] (numeric) = -6.7400870744921595846187698939708 absolute error = 6.223546155239612225070e-10 relative error = 9.2336287141125310527369483073056e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.713 Order of pole = 0.3291 x[1] = 0.236 y[1] (analytic) = -6.7387417339208455842125835205607 y[1] (numeric) = -6.7387417332976863563310115812155 absolute error = 6.231592278815719393452e-10 relative error = 9.2474122393617121887271427356262e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.712 Order of pole = 0.3291 x[1] = 0.237 y[1] (analytic) = -6.7373964953248481248624048232982 y[1] (numeric) = -6.7373964947008838678306612158908 absolute error = 6.239642570317436074074e-10 relative error = 9.2612073144978051214816325199192e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.712 Order of pole = 0.329 x[1] = 0.238 y[1] (analytic) = -6.7360513593289372648524367346514 y[1] (numeric) = -6.7360513587041675617950109705345 absolute error = 6.247697030574257641169e-10 relative error = 9.2750139470383569996297291210465e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.712 Order of pole = 0.329 x[1] = 0.239 y[1] (analytic) = -6.7347063259355296976748799109382 y[1] (numeric) = -6.7347063253099541316332587955281 absolute error = 6.255755660416211154101e-10 relative error = 9.2888321445066326946493845060541e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.712 Order of pole = 0.329 x[1] = 0.24 y[1] (analytic) = -6.7333613951470433678029710868306 y[1] (numeric) = -6.7333613945206615217355855258417 absolute error = 6.263818460673855609889e-10 relative error = 9.3026619144316196860631361080017e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.711 Order of pole = 0.329 x[1] = 0.241 y[1] (analytic) = -6.7320165669658974709402198231651 y[1] (numeric) = -6.7320165663387089277223916035738 absolute error = 6.271885432178282195913e-10 relative error = 9.3165032643480329513630511647020e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.711 Order of pole = 0.329 x[1] = 0.242 y[1] (analytic) = -6.7306718413945124542698049464133 y[1] (numeric) = -6.7306718407665167966936934921293 absolute error = 6.279956575761114542840e-10 relative error = 9.3303562017963198607260458159266e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.711 Order of pole = 0.329 x[1] = 0.243 y[1] (analytic) = -6.7293272184353100167041307557145 y[1] (numeric) = -6.7293272178065068274786798579402 absolute error = 6.288031892254508977743e-10 relative error = 9.3442207343226650764844581093413e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used memory used=358.5MB, alloc=4.6MB, time=39.78 Radius of convergence = 9.711 Order of pole = 0.3289 x[1] = 0.244 y[1] (analytic) = -6.7279826980907131091345430734399 y[1] (numeric) = -6.7279826974611019708854275956952 absolute error = 6.296111382491154777447e-10 relative error = 9.3580968694789954574073617805688e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.71 Order of pole = 0.3289 x[1] = 0.245 y[1] (analytic) = -6.7266382803631459346812052153121 y[1] (numeric) = -6.726638279732726429950777773107 absolute error = 6.304195047304274422051e-10 relative error = 9.3719846148229849677218308937799e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.71 Order of pole = 0.3289 x[1] = 0.246 y[1] (analytic) = -6.7252939652550339489431339561747 y[1] (numeric) = -6.7252939646238056601903715713061 absolute error = 6.312282887527623848686e-10 relative error = 9.3858839779180595909682985216135e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.71 Order of pole = 0.3289 x[1] = 0.247 y[1] (analytic) = -6.7239497527688038602483955675599 y[1] (numeric) = -6.7239497521367663698488462970145 absolute error = 6.320374903995492705454e-10 relative error = 9.3997949663334022486132705559701e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.71 Order of pole = 0.3289 x[1] = 0.248 y[1] (analytic) = -6.7226056429068836299044620032714 y[1] (numeric) = -6.7226056422740365201501915427117 absolute error = 6.328471097542704605597e-10 relative error = 9.4137175876439577234972326511847e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.709 Order of pole = 0.3289 x[1] = 0.249 y[1] (analytic) = -6.721261635671702472448727309256 y[1] (numeric) = -6.72126163503804532554826557107 absolute error = 6.336571469004617381860e-10 relative error = 9.4276518494304375880692462335689e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.709 Order of pole = 0.3288 x[1] = 0.25 y[1] (analytic) = -6.719917731065690855899184334101 y[1] (numeric) = -6.7199177304312232539774719999963 absolute error = 6.344676019217123341047e-10 relative error = 9.4415977592793251374117336130634e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.709 Order of pole = 0.3288 x[1] = 0.251 y[1] (analytic) = -6.7185739290912805020052618165626 y[1] (numeric) = -6.7185739284560020271035968646805 absolute error = 6.352784749016649518821e-10 relative error = 9.4555553247828803271363529629647e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.709 Order of pole = 0.3288 x[1] = 0.252 y[1] (analytic) = -6.7172302297509043864988219265802 y[1] (numeric) = -6.7172302291148146205748061331126 absolute error = 6.360897659240157934676e-10 relative error = 9.4695245535391447160488799629076e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.709 Order of pole = 0.3288 x[1] = 0.253 y[1] (analytic) = -6.715886633046996739345318336306 y[1] (numeric) = -6.7158866324100952642728037515931 absolute error = 6.369014750725145847129e-10 relative error = 9.4835054531519464136595280317657e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.708 Order of pole = 0.3288 x[1] = 0.254 y[1] (analytic) = -6.7145431389819930449951148977357 y[1] (numeric) = -6.7145431383442794425641502968225 absolute error = 6.377136024309646009132e-10 relative error = 9.4974980312309050325437725586214e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.708 Order of pole = 0.3287 x[1] = 0.255 y[1] (analytic) = -6.7131997475583300426349650035858 y[1] (numeric) = -6.7131997469198038945517423112195 memory used=362.4MB, alloc=4.6MB, time=40.21 absolute error = 6.385261480832226923663e-10 relative error = 9.5115022953914366454976766658362e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.708 Order of pole = 0.3287 x[1] = 0.256 y[1] (analytic) = -6.711856458778445726439651708134 y[1] (numeric) = -6.7118564581391066143264523981781 absolute error = 6.393391121131993099559e-10 relative error = 9.5255182532547587475865737730703e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.708 Order of pole = 0.3287 x[1] = 0.257 y[1] (analytic) = -6.7105132726447793458237886847914 y[1] (numeric) = -6.7105132720046268512189301540384 absolute error = 6.401524946048585307530e-10 relative error = 9.5395459124478952230013335991450e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.707 Order of pole = 0.3287 x[1] = 0.258 y[1] (analytic) = -6.709170189159771405693782097244 y[1] (numeric) = -6.7091701885188051100515640136052 absolute error = 6.409662956422180836388e-10 relative error = 9.5535852806036813167778958179100e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.707 Order of pole = 0.3287 x[1] = 0.259 y[1] (analytic) = -6.7078272083258636666999534610644 y[1] (numeric) = -6.7078272076840831513906040861147 absolute error = 6.417805153093493749497e-10 relative error = 9.5676363653607686113941002309095e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.707 Order of pole = 0.3286 x[1] = 0.26 y[1] (analytic) = -6.7064843301454991454888235727505 y[1] (numeric) = -6.7064843295029039917984460586087 absolute error = 6.425951536903775141418e-10 relative error = 9.5816991743636300082101474903880e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.707 Order of pole = 0.3286 x[1] = 0.261 y[1] (analytic) = -6.7051415546211221149555575832163 y[1] (numeric) = -6.7051415539777119040860762437405 absolute error = 6.434102108694813394758e-10 relative error = 9.5957737152625647137711669255348e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.706 Order of pole = 0.3286 x[1] = 0.262 y[1] (analytic) = -6.7037988817551781044965712928238 y[1] (numeric) = -6.7037988811109524175656778490987 absolute error = 6.442256869308934437251e-10 relative error = 9.6098599957137032310187374884723e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.706 Order of pole = 0.3286 x[1] = 0.263 y[1] (analytic) = -6.7024563115501139002622987450994 y[1] (numeric) = -6.702456310905072318303398545197 absolute error = 6.450415819589001999024e-10 relative error = 9.6239580233790123553463813428848e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.706 Order of pole = 0.3286 x[1] = 0.264 y[1] (analytic) = -6.7011138440083775454101211963504 y[1] (numeric) = -6.7011138433625196493722794093422 absolute error = 6.458578960378417870082e-10 relative error = 9.6380678059263001755548185930093e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.706 Order of pole = 0.3286 x[1] = 0.265 y[1] (analytic) = -6.6997714791324183403574575384545 y[1] (numeric) = -6.6997714784857437111053453226542 absolute error = 6.466746292521122158003e-10 relative error = 9.6521893510292210796986774967907e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.705 Order of pole = 0.3285 x[1] = 0.266 y[1] (analytic) = -6.6984292169246868430350162521589 y[1] (numeric) = -6.6984292162771950613488568975748 absolute error = 6.474917816861593545841e-10 relative error = 9.6663226663672807658267890963137e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=366.2MB, alloc=4.6MB, time=40.65 Complex estimate of poles used Radius of convergence = 9.705 Order of pole = 0.3285 x[1] = 0.267 y[1] (analytic) = -6.6970870573876348691402089682904 y[1] (numeric) = -6.6970870567393255157157240132664 absolute error = 6.483093534244849550240e-10 relative error = 9.6804677596258412576256622399078e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.705 Order of pole = 0.3285 x[1] = 0.268 y[1] (analytic) = -6.6957450005237154923907257143374 y[1] (numeric) = -6.6957449998745881478390810363617 absolute error = 6.491273445516446779757e-10 relative error = 9.6946246384961259249682806220969e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.705 Order of pole = 0.3285 x[1] = 0.269 y[1] (analytic) = -6.6944030463353830447782719239301 y[1] (numeric) = -6.6944030456854372896260238045916 absolute error = 6.499457551522481193385e-10 relative error = 9.7087933106752245093599080947431e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.704 Order of pole = 0.3285 x[1] = 0.27 y[1] (analytic) = -6.6930611948250931168224672868102 y[1] (numeric) = -6.693061194174328531511508450879 absolute error = 6.507645853109588359312e-10 relative error = 9.7229737838660981543398066650533e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.704 Order of pole = 0.3284 x[1] = 0.271 y[1] (analytic) = -6.6917194459953025578249065169378 y[1] (numeric) = -6.6917194453437187227124121455516 absolute error = 6.515838351124943713862e-10 relative error = 9.7371660657775844407633691924242e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.704 Order of pole = 0.3284 x[1] = 0.272 y[1] (analytic) = -6.6903777998484694761233821164536 y[1] (numeric) = -6.6903777991960659714817558343874 absolute error = 6.524035046416262820662e-10 relative error = 9.7513701641244024270355243633302e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.704 Order of pole = 0.3284 x[1] = 0.273 y[1] (analytic) = -6.689036256387053239346269213273 y[1] (numeric) = -6.6890362557338296453630890502716 absolute error = 6.532235939831801630014e-10 relative error = 9.7655860866271576942692089689435e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.704 Order of pole = 0.3284 x[1] = 0.274 y[1] (analytic) = -6.6876948156135144746670725501546 y[1] (numeric) = -6.6876948149594703714450368763061 absolute error = 6.540441032220356738485e-10 relative error = 9.7798138410123473963934977646905e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.703 Order of pole = 0.3284 x[1] = 0.275 y[1] (analytic) = -6.6863534775303150690591357031458 y[1] (numeric) = -6.6863534768754500366160091382766 absolute error = 6.548650324431265648692e-10 relative error = 9.7940534350123653151821773235126e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.703 Order of pole = 0.3283 x[1] = 0.276 y[1] (analytic) = -6.6850122421399181695505126073764 y[1] (numeric) = -6.685012241484231787819071904444 absolute error = 6.556863817314407029324e-10 relative error = 9.8083048763655069202707335005548e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.703 Order of pole = 0.3283 x[1] = 0.277 y[1] (analytic) = -6.683671109444788183479001468227 y[1] (numeric) = -6.6836711087882800323069813706928 absolute error = 6.565081511720200975342e-10 relative error = 9.8225681728159744340787143542782e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=370.0MB, alloc=4.6MB, time=41.08 Complex estimate of poles used Radius of convergence = 9.703 Order of pole = 0.3283 x[1] = 0.278 y[1] (analytic) = -6.6823300794473907787473411359728 y[1] (numeric) = -6.6823300787900604378973802091298 absolute error = 6.573303408499609268430e-10 relative error = 9.8368433321138819017518305864529e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.702 Order of pole = 0.3283 x[1] = 0.279 y[1] (analytic) = -6.6809891521501928840785700220537 y[1] (numeric) = -6.6809891514920399332281564582922 absolute error = 6.581529508504135637615e-10 relative error = 9.8511303620152602660063352964475e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.702 Order of pole = 0.3283 x[1] = 0.28 y[1] (analytic) = -6.6796483275556626892715476351989 y[1] (numeric) = -6.6796483268966867080129650331861 absolute error = 6.589759812585826020128e-10 relative error = 9.8654292702820624469885849132179e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.702 Order of pole = 0.3283 x[1] = 0.281 y[1] (analytic) = -6.6783076056662696454566388156878 y[1] (numeric) = -6.6783076050064702132969119334403 absolute error = 6.597994321597268822475e-10 relative error = 9.8797400646821684271086314841588e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.702 Order of pole = 0.3282 x[1] = 0.282 y[1] (analytic) = -6.6769669864844844653515607460953 y[1] (numeric) = -6.6769669858238611617124012279249 absolute error = 6.606233036391595181704e-10 relative error = 9.8940627529893903408320886951127e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.701 Order of pole = 0.3282 x[1] = 0.283 y[1] (analytic) = -6.6756264700127791235173928169367 y[1] (numeric) = -6.6756264693513315277351448942464 absolute error = 6.614475957822479226903e-10 relative error = 9.9083973429834775694878876799345e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.701 Order of pole = 0.3282 x[1] = 0.284 y[1] (analytic) = -6.6742860562536268566147494256845 y[1] (numeric) = -6.6742860555913545479403355915955 absolute error = 6.622723086744138340890e-10 relative error = 9.9227438424501218410387556188197e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.701 Order of pole = 0.3282 x[1] = 0.285 y[1] (analytic) = -6.6729457452095021636601157877015 y[1] (numeric) = -6.6729457445464047212589824454878 absolute error = 6.630974424011333422137e-10 relative error = 9.9371022591809623348825479918736e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.701 Order of pole = 0.3282 x[1] = 0.286 y[1] (analytic) = -6.6716055368828808062823468376898 y[1] (numeric) = -6.6716055362189578092344099230003 absolute error = 6.639229970479369146895e-10 relative error = 9.9514726009735907916402557763452e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.7 Order of pole = 0.3281 x[1] = 0.287 y[1] (analytic) = -6.6702654312762398089793293003249 y[1] (numeric) = -6.670265430611490836278919877172 absolute error = 6.647489727004094231529e-10 relative error = 9.9658548756315566279494014989915e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.7 Order of pole = 0.3281 x[1] = 0.288 y[1] (analytic) = -6.6689254283920574593748070088068 y[1] (numeric) = -6.6689254277264820899306168392991 absolute error = 6.655753694441901695077e-10 relative error = 9.9802490909643720562890632345439e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=373.8MB, alloc=4.6MB, time=41.51 Complex estimate of poles used Radius of convergence = 9.7 Order of pole = 0.3281 x[1] = 0.289 y[1] (analytic) = -6.6675855282328133084753695501217 y[1] (numeric) = -6.6675855275664111211103966379209 absolute error = 6.664021873649729122008e-10 relative error = 9.9946552547875172098043135156899e-09 % Correct digits = 10 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.7 Order of pole = 0.3281 x[1] = 0.29 y[1] (analytic) = -6.6662457308009881709276043158763 y[1] (numeric) = -6.6662457301337587443790984233551 absolute error = 6.672294265485058925212e-10 relative error = 1.0009073374922445272184811436438e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.699 Order of pole = 0.3281 x[1] = 0.291 y[1] (analytic) = -6.6649060360990641252754120376244 y[1] (numeric) = -6.6649060354310070381948201767063 absolute error = 6.680570870805918609181e-10 relative error = 1.0023503459196587612541342560849e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.699 Order of pole = 0.328 x[1] = 0.292 y[1] (analytic) = -6.6635664441295245142174858856774 y[1] (numeric) = -6.6635664434606393451703977823345 absolute error = 6.688851690470881033429e-10 relative error = 1.0037945515443358925357570572738e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.699 Order of pole = 0.328 x[1] = 0.293 y[1] (analytic) = -6.6622269548948539448649542104464 y[1] (numeric) = -6.6622269542251402723310477428363 absolute error = 6.697136725339064676101e-10 relative error = 1.0052399551502162375447288545890e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.699 Order of pole = 0.328 x[1] = 0.294 y[1] (analytic) = -6.6608875683975382889991870054349 y[1] (numeric) = -6.6608875677269956913721736156535 absolute error = 6.705425976270133897814e-10 relative error = 1.0066865575218394747986964198757e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.698 Order of pole = 0.328 x[1] = 0.295 y[1] (analytic) = -6.6595482846400646833297661710596 y[1] (numeric) = -6.6595482839686927389173362504894 absolute error = 6.713719444124299205702e-10 relative error = 1.0081343594443451603586869573277e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.698 Order of pole = 0.328 x[1] = 0.296 y[1] (analytic) = -6.6582091036249215297526196585468 y[1] (numeric) = -6.658209102952719816776387906778 absolute error = 6.722017129762317517688e-10 relative error = 1.0095833617034732438440621276605e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.698 Order of pole = 0.3279 x[1] = 0.297 y[1] (analytic) = -6.6568700253545984956083195732082 y[1] (numeric) = -6.6568700246815665922037703305135 absolute error = 6.730319034045492426947e-10 relative error = 1.0110335650855645849504388881529e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.698 Order of pole = 0.3279 x[1] = 0.298 y[1] (analytic) = -6.6555310498315865139405443164757 y[1] (numeric) = -6.655531049157723998156976869814 absolute error = 6.738625157835674466617e-10 relative error = 1.0124849703775614704796681625270e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.697 Order of pole = 0.3279 x[1] = 0.299 y[1] (analytic) = -6.6541921770583777837547048461259 y[1] (numeric) = -6.6541921763836842335551787086568 absolute error = 6.746935501995261374691e-10 relative error = 1.0139375783670081318723418800436e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=377.6MB, alloc=4.6MB, time=41.93 Complex estimate of poles used Radius of convergence = 9.697 Order of pole = 0.3279 x[1] = 0.3 y[1] (analytic) = -6.6528534070374657702767351342021 y[1] (numeric) = -6.6528534063619407635380152982875 absolute error = 6.755250067387198359146e-10 relative error = 1.0153913898420512632517716466960e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.697 Order of pole = 0.3279 x[1] = 0.301 y[1] (analytic) = -6.6515147397713452052120469021975 y[1] (numeric) = -6.6515147390949883197245490658689 absolute error = 6.763568854874978363286e-10 relative error = 1.0168464055914405399765194777433e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.697 Order of pole = 0.3279 x[1] = 0.302 y[1] (analytic) = -6.6501761752625120870046487131304 y[1] (numeric) = -6.6501761745853229004723844800015 absolute error = 6.771891865322642331289e-10 relative error = 1.0183026264045291377005109121068e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.697 Order of pole = 0.3278 x[1] = 0.303 y[1] (analytic) = -6.6488377135134636810964295002088 y[1] (numeric) = -6.6488377128354417711369515528113 absolute error = 6.780219099594779473975e-10 relative error = 1.0197600530712742519438198859503e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.696 Order of pole = 0.3278 x[1] = 0.304 y[1] (analytic) = -6.6474993545266985201866066118446 y[1] (numeric) = -6.6474993538478434643309538583654 absolute error = 6.788550558556527534792e-10 relative error = 1.0212186863822376181742108271894e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.696 Order of pole = 0.3278 x[1] = 0.305 y[1] (analytic) = -6.6461610983047164044913384528434 y[1] (numeric) = -6.6461610976250277801839811472405 absolute error = 6.796886243073573056029e-10 relative error = 1.0226785271285860324013288811385e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.696 Order of pole = 0.3278 x[1] = 0.306 y[1] (analytic) = -6.6448229448500184020035018016558 y[1] (numeric) = -6.644822944169495786602286637135 absolute error = 6.805226154012151645208e-10 relative error = 1.0241395761020918722768538743185e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.696 Order of pole = 0.3278 x[1] = 0.307 y[1] (analytic) = -6.6434848941651068487526338836529 y[1] (numeric) = -6.6434848934837498195287290594788 absolute error = 6.813570292239048241741e-10 relative error = 1.0256018340951336187140927462458e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.695 Order of pole = 0.3277 x[1] = 0.308 y[1] (analytic) = -6.6421469462524853490650392804382 y[1] (numeric) = -6.6421469455702934832028795420616 absolute error = 6.821918658621597383766e-10 relative error = 1.0270653019006963780146114104738e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.695 Order of pole = 0.3277 x[1] = 0.309 y[1] (analytic) = -6.640809101114658775824061755286 y[1] (numeric) = -6.640809100431631650421293407764 absolute error = 6.830271254027683475220e-10 relative error = 1.0285299803123724045111708808650e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.695 Order of pole = 0.3277 x[1] = 0.31 y[1] (analytic) = -6.6394713587541332707305210748526 y[1] (numeric) = -6.6394713580702704627979469695409 absolute error = 6.838628079325741053117e-10 relative error = 1.0299958701243616237226918950589e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.695 Order of pole = 0.3277 memory used=381.4MB, alloc=4.6MB, time=42.35 x[1] = 0.311 y[1] (analytic) = -6.6381337191734162445633149073785 y[1] (numeric) = -6.6381337184887173310248394018734 absolute error = 6.846989135384755055051e-10 relative error = 1.0314629721314721560247986555965e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.694 Order of pole = 0.3277 x[1] = 0.312 y[1] (analytic) = -6.6367961823750163774401858776586 y[1] (numeric) = -6.6367961816894809351327597689674 absolute error = 6.855354423074261086912e-10 relative error = 1.0329312871291208408346761862167e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.694 Order of pole = 0.3276 x[1] = 0.313 y[1] (analytic) = -6.6354587483614436190786538591277 y[1] (numeric) = -6.6354587476750712247522192900457 absolute error = 6.863723943264345690820e-10 relative error = 1.0344008159133337613115355078537e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.694 Order of pole = 0.3276 x[1] = 0.314 y[1] (analytic) = -6.6341214171352091890571135834709 y[1] (numeric) = -6.634121416447999419374548922143 absolute error = 6.872097696825646613279e-10 relative error = 1.0358715592807467695735304732976e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.694 Order of pole = 0.3276 x[1] = 0.315 y[1] (analytic) = -6.632784188698825577076097648234 y[1] (numeric) = -6.6327841880107780086131623408798 absolute error = 6.880475684629353073542e-10 relative error = 1.0373435180286060124303127859774e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.693 Order of pole = 0.3276 x[1] = 0.316 y[1] (analytic) = -6.6314470630548065432197050029766 y[1] (numeric) = -6.631447062365920752464984399756 absolute error = 6.888857907547206032206e-10 relative error = 1.0388166929547684576346324761205e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.693 Order of pole = 0.3276 x[1] = 0.317 y[1] (analytic) = -6.6301100402056671182171949945723 y[1] (numeric) = -6.6301100395159426815720451485711 absolute error = 6.897244366451498460012e-10 relative error = 1.0402910848577024206497599678623e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.693 Order of pole = 0.3275 x[1] = 0.318 y[1] (analytic) = -6.6287731201539236037047470523278 y[1] (numeric) = -6.6287731194633600974832394916417 absolute error = 6.905635062215075606861e-10 relative error = 1.0417666945364880919349312909860e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.693 Order of pole = 0.3275 x[1] = 0.319 y[1] (analytic) = -6.6274363029020935724873860936617 y[1] (numeric) = -6.6274363022106905729162525665545 absolute error = 6.914029995711335271072e-10 relative error = 1.0432435227908180647532846160056e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.692 Order of pole = 0.3275 x[1] = 0.32 y[1] (analytic) = -6.6260995884526958688010737311405 y[1] (numeric) = -6.6260995877604529520196509242572 absolute error = 6.922429167814228068833e-10 relative error = 1.0447215704209978634954443791162e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.692 Order of pole = 0.3275 x[1] = 0.321 y[1] (analytic) = -6.624762976808250608574965361743 y[1] (numeric) = -6.6247629761151673506351395913551 absolute error = 6.930832579398257703879e-10 relative error = 1.0462008382279464725244267180833e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.692 Order of pole = 0.3275 x[1] = 0.322 y[1] (analytic) = -6.623426467971279179693833219288 y[1] (numeric) = -6.6234264672773551565599850955487 absolute error = 6.939240231338481237393e-10 relative error = 1.0476813270131968655418116410353e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=385.2MB, alloc=4.6MB, time=42.78 Complex estimate of poles used Radius of convergence = 9.692 Order of pole = 0.3274 x[1] = 0.323 y[1] (analytic) = -6.6220900619443042422606554710219 y[1] (numeric) = -6.62209006124953902980960453521 absolute error = 6.947652124510509358119e-10 relative error = 1.0491630375788965354740699450197e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.691 Order of pole = 0.3274 x[1] = 0.324 y[1] (analytic) = -6.6207537587298497288593714394349 y[1] (numeric) = -6.6207537580342429028803207741647 absolute error = 6.956068259790506652702e-10 relative error = 1.0506459707278080248818579020173e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.691 Order of pole = 0.3274 x[1] = 0.325 y[1] (analytic) = -6.6194175583304408448178030304348 y[1] (numeric) = -6.6194175576339919810122838428103 absolute error = 6.964488638055191876245e-10 relative error = 1.0521301272633094568913202569029e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.691 Order of pole = 0.3274 x[1] = 0.326 y[1] (analytic) = -6.6180814607486040684707424490748 y[1] (numeric) = -6.6180814600513127424525586267674 absolute error = 6.972913260181838223074e-10 relative error = 1.0536155079893950666465913835450e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.691 Order of pole = 0.3274 x[1] = 0.327 y[1] (analytic) = -6.6167454659868671514232062841012 y[1] (numeric) = -6.6167454652887329387183789243268 absolute error = 6.981342127048273597744e-10 relative error = 1.0551021137106757332890304185085e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.69 Order of pole = 0.3273 x[1] = 0.328 y[1] (analytic) = -6.6154095740477591188138560426467 y[1] (numeric) = -6.6154095733487815948605679540219 absolute error = 6.989775239532880886248e-10 relative error = 1.0565899452323795124580023679599e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.69 Order of pole = 0.3273 x[1] = 0.329 y[1] (analytic) = -6.6140737849338102695785852164651 y[1] (numeric) = -6.6140737842339890097271253937201 absolute error = 6.998212598514598227450e-10 relative error = 1.0580790033603521693169289215838e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.69 Order of pole = 0.3273 x[1] = 0.33 y[1] (analytic) = -6.612738098647552176714272961169 y[1] (numeric) = -6.6127380979468867562269810326949 absolute error = 7.006654204872919284741e-10 relative error = 1.0595692889010577121050115625308e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.69 Order of pole = 0.3273 x[1] = 0.331 y[1] (analytic) = -6.6114025151915176875427044699971 y[1] (numeric) = -6.6114025144900076815939151182051 absolute error = 7.015100059487893517920e-10 relative error = 1.0610608026615789262154837232354e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.689 Order of pole = 0.3273 x[1] = 0.332 y[1] (analytic) = -6.6100670345682409239746581237028 y[1] (numeric) = -6.6100670338658859076506454781744 absolute error = 7.023550163240126455284e-10 relative error = 1.0625535454496179087985267510020e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.689 Order of pole = 0.3272 x[1] = 0.333 y[1] (analytic) = -6.6087316567802572827741594982242 y[1] (numeric) = -6.6087316560770568310730815016305 absolute error = 7.032004517010779965937e-10 relative error = 1.0640475180734966038909153691522e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=389.1MB, alloc=4.6MB, time=43.20 Complex estimate of poles used Radius of convergence = 9.689 Order of pole = 0.3272 x[1] = 0.334 y[1] (analytic) = -6.6073963818301034358229023118639 y[1] (numeric) = -6.6073963811260571236547450586293 absolute error = 7.040463121681572532346e-10 relative error = 1.0655427213421573380771856276151e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.689 Order of pole = 0.3272 x[1] = 0.335 y[1] (analytic) = -6.6060612097203173303848363937633 y[1] (numeric) = -6.6060612090154247325713584414556 absolute error = 7.048925978134779523077e-10 relative error = 1.0670391560651633566727451017300e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.688 Order of pole = 0.3272 x[1] = 0.336 y[1] (analytic) = -6.6047261404534381893709227555392 y[1] (numeric) = -6.6047261397476988806455994089591 absolute error = 7.057393087253233465801e-10 relative error = 1.0685368230526993604431002081848e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.688 Order of pole = 0.3272 x[1] = 0.337 y[1] (analytic) = -6.6033911740320065116040558479966 y[1] (numeric) = -6.6033911733254200666120234159498 absolute error = 7.065864449920324320468e-10 relative error = 1.0700357231155720428443222123473e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.688 Order of pole = 0.3272 x[1] = 0.338 y[1] (analytic) = -6.602056310458564072084153084919 y[1] (numeric) = -6.6020563097511300653821531096439 absolute error = 7.074340067019999752751e-10 relative error = 1.0715358570652106278007486423582e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.688 Order of pole = 0.3271 x[1] = 0.339 y[1] (analytic) = -6.600721549735653922253411715985 y[1] (numeric) = -6.6007215490273719283097351752177 absolute error = 7.082819939436765407673e-10 relative error = 1.0730372257136674080073092199472e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.687 Order of pole = 0.3271 x[1] = 0.34 y[1] (analytic) = -6.5993868918658203902617331309428 y[1] (numeric) = -6.5993868911566899834561646125934 absolute error = 7.091304068055685183494e-10 relative error = 1.0745398298736182837686955506062e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.687 Order of pole = 0.3271 x[1] = 0.341 y[1] (analytic) = -6.5980523368516090812323146772262 y[1] (numeric) = -6.5980523361416298358560765266483 absolute error = 7.099792453762381505779e-10 relative error = 1.0760436703583633023639699952585e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.687 Order of pole = 0.3271 x[1] = 0.342 y[1] (analytic) = -6.5967178846955668775274090732758 y[1] (numeric) = -6.5967178839847383677831055131033 absolute error = 7.108285097443035601725e-10 relative error = 1.0775487479818271979489901461104e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.687 Order of pole = 0.3271 x[1] = 0.343 y[1] (analytic) = -6.5953835354002419390142514998848 y[1] (numeric) = -6.5953835346885637390158127224164 absolute error = 7.116781999984387774684e-10 relative error = 1.0790550635585599319876665185718e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.686 Order of pole = 0.327 x[1] = 0.344 y[1] (analytic) = -6.5940492889681837033311544519633 y[1] (numeric) = -6.5940492882556553871037806840712 absolute error = 7.125283162273737678921e-10 relative error = 1.0805626179037372342185247653689e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=392.9MB, alloc=4.6MB, time=43.63 Complex estimate of poles used Radius of convergence = 9.686 Order of pole = 0.327 x[1] = 0.345 y[1] (analytic) = -6.592715145401942886153770433178 y[1] (numeric) = -6.5927151446885640276338759737176 absolute error = 7.133788585198944594604e-10 relative error = 1.0820714118331611441566832733962e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.686 Order of pole = 0.327 x[1] = 0.346 y[1] (analytic) = -6.5913811047040714814615225759894 y[1] (numeric) = -6.5913811039898416544966798056907 absolute error = 7.142298269648427702987e-10 relative error = 1.0835814461632605531258952485300e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.686 Order of pole = 0.327 x[1] = 0.347 y[1] (analytic) = -6.5900471668771227618042032696829 y[1] (numeric) = -6.590047166162041540153086633498 absolute error = 7.150812216511166361849e-10 relative error = 1.0850927217110917468307733577739e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.685 Order of pole = 0.327 x[1] = 0.348 y[1] (analytic) = -6.5887133319236512785687408790485 y[1] (numeric) = -6.5887133312077182359010708409341 absolute error = 7.159330426676700381144e-10 relative error = 1.0866052392943389484629394620587e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.685 Order of pole = 0.3269 x[1] = 0.349 y[1] (analytic) = -6.587379599846212862246134636435 y[1] (numeric) = -6.5873795991294275721426216065486 absolute error = 7.167852901035130298864e-10 relative error = 1.0881189997313148623419664333993e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.685 Order of pole = 0.3269 x[1] = 0.35 y[1] (analytic) = -6.5860459706473646226985577899731 y[1] (numeric) = -6.5860459699297266586508460242591 absolute error = 7.176379640477117657140e-10 relative error = 1.0896340038409612180954724297693e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.685 Order of pole = 0.3269 x[1] = 0.351 y[1] (analytic) = -6.5847124443296649494266290908257 y[1] (numeric) = -6.5847124436111738848372405629698 absolute error = 7.184910645893885278559e-10 relative error = 1.0911502524428493153755970630322e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.684 Order of pole = 0.3269 x[1] = 0.352 y[1] (analytic) = -6.5833790208956735118368527023935 y[1] (numeric) = -6.5833790201763289200191309481219 absolute error = 7.193445918177217542716e-10 relative error = 1.0926677463571805691153119516492e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.684 Order of pole = 0.3269 x[1] = 0.353 y[1] (analytic) = -6.5820457003479512595092266144683 y[1] (numeric) = -6.5820456996277527136872805481713 absolute error = 7.201985458219460662970e-10 relative error = 1.0941864864047870553204270642493e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.684 Order of pole = 0.3268 x[1] = 0.354 y[1] (analytic) = -6.5807124826890604224650196453986 y[1] (numeric) = -6.5807124819680074957736673490535 absolute error = 7.210529266913522963451e-10 relative error = 1.0957064734071320574050001127203e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.684 Order of pole = 0.3268 x[1] = 0.355 y[1] (analytic) = -6.5793793679215645114347171153917 y[1] (numeric) = -6.5793793671996567769194295997656 absolute error = 7.219077345152875156261e-10 relative error = 1.0972277081863106130620615266231e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=396.7MB, alloc=4.6MB, time=44.06 Complex estimate of poles used Radius of convergence = 9.683 Order of pole = 0.3268 x[1] = 0.356 y[1] (analytic) = -6.5780463560480283181261352741547 y[1] (numeric) = -6.5780463553252653487429802122618 absolute error = 7.227629693831550618929e-10 relative error = 1.0987501915650500616793406041043e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.683 Order of pole = 0.3268 x[1] = 0.357 y[1] (analytic) = -6.5767134470710179154927045661332 y[1] (numeric) = -6.5767134463473992841082899989256 absolute error = 7.236186313844145672076e-10 relative error = 1.1002739243667105922938805108919e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.683 Order of pole = 0.3268 x[1] = 0.358 y[1] (analytic) = -6.5753806409931006580019218166804 y[1] (numeric) = -6.5753806402686259373933398309501 absolute error = 7.244747206085819857303e-10 relative error = 1.1017989074152857920880883247393e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.683 Order of pole = 0.3268 x[1] = 0.359 y[1] (analytic) = -6.5740479378168451819039714225565 y[1] (numeric) = -6.5740479370915139447587418010258 absolute error = 7.253312371452296215307e-10 relative error = 1.1033251415354031954285532860705e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.682 Order of pole = 0.3267 x[1] = 0.36 y[1] (analytic) = -6.5727153375448214055005156302249 y[1] (numeric) = -6.5727153368186332244165294738016 absolute error = 7.261881810839861564233e-10 relative error = 1.1048526275523248334494247493741e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.682 Order of pole = 0.3267 x[1] = 0.361 y[1] (analytic) = -6.5713828401796005294136539854768 y[1] (numeric) = -6.5713828394525549768991173076536 absolute error = 7.270455525145366778232e-10 relative error = 1.1063813662919477841763613254798e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.682 Order of pole = 0.3267 x[1] = 0.362 y[1] (analytic) = -6.5700504457237550368550520379907 y[1] (numeric) = -6.5700504449958516853284293313637 absolute error = 7.279033515266227066270e-10 relative error = 1.1079113585808047231984714089337e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.682 Order of pole = 0.3267 x[1] = 0.363 y[1] (analytic) = -6.5687181541798586938952393844909 y[1] (numeric) = -6.5687181534510971156851971593776 absolute error = 7.287615782100422251133e-10 relative error = 1.1094426052460644748804533934195e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.681 Order of pole = 0.3267 x[1] = 0.364 y[1] (analytic) = -6.5673859655504865497330771342473 y[1] (numeric) = -6.5673859648208663170784274293794 absolute error = 7.296202326546497048679e-10 relative error = 1.1109751071155325641232713336857e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.681 Order of pole = 0.3266 x[1] = 0.365 y[1] (analytic) = -6.5660538798382149369653948807209 y[1] (numeric) = -6.5660538791077356220150387459886 absolute error = 7.304793149503561347323e-10 relative error = 1.1125088650176517686718156795691e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.681 Order of pole = 0.3266 x[1] = 0.366 y[1] (analytic) = -6.5647218970456214718567972632248 y[1] (numeric) = -6.5647218963142826466696682144528 absolute error = 7.313388251871290487720e-10 relative error = 1.1140438797815026719647970096189e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.681 Order of pole = 0.3266 x[1] = 0.367 memory used=400.5MB, alloc=4.6MB, time=44.49 y[1] (analytic) = -6.5633900171752850546096402025477 y[1] (numeric) = -6.5633900164430862911546476482777 absolute error = 7.321987634549925542700e-10 relative error = 1.1155801522368042165356727790125e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.68 Order of pole = 0.3266 x[1] = 0.368 y[1] (analytic) = -6.5620582402297858696341768945455 y[1] (numeric) = -6.5620582394967267397901495348031 absolute error = 7.330591298440273597424e-10 relative error = 1.1171176832139142579604678693252e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.68 Order of pole = 0.3266 x[1] = 0.369 y[1] (analytic) = -6.5607265662117053858188736457792 y[1] (numeric) = -6.5607265654777854613745028428035 absolute error = 7.339199244443708029757e-10 relative error = 1.1186564735438301193524581382992e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.68 Order of pole = 0.3265 x[1] = 0.37 y[1] (analytic) = -6.5593949951236263568008956353467 y[1] (numeric) = -6.5593949943888452094546787562579 absolute error = 7.347811473462168790888e-10 relative error = 1.1201965240581891464088692583792e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.68 Order of pole = 0.3265 x[1] = 0.371 y[1] (analytic) = -6.5580635269681328212367626871193 y[1] (numeric) = -6.5580635262324900225969464185041 absolute error = 7.356427986398162686152e-10 relative error = 1.1217378355892692630033149341717e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.679 Order of pole = 0.3265 x[1] = 0.372 y[1] (analytic) = -6.5567321617478101030731751366684 y[1] (numeric) = -6.5567321610113052246576987710581 absolute error = 7.365048784154763656103e-10 relative error = 1.1232804089699895273320245374918e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.679 Order of pole = 0.3265 x[1] = 0.373 y[1] (analytic) = -6.5554008994652448118180098772313 y[1] (numeric) = -6.5554008987278774250544485714508 absolute error = 7.373673867635613057805e-10 relative error = 1.1248242450339106886094142433164e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.679 Order of pole = 0.3265 x[1] = 0.374 y[1] (analytic) = -6.5540697401230248428114866691342 y[1] (numeric) = -6.5540697393847945190369946744995 absolute error = 7.382303237744919946347e-10 relative error = 1.1263693446152357443144987596800e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.679 Order of pole = 0.3264 x[1] = 0.375 y[1] (analytic) = -6.5527386837237393774975047971618 y[1] (numeric) = -6.5527386829846456879587586615026 absolute error = 7.390936895387461356592e-10 relative error = 1.1279157085488104979902533434044e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.678 Order of pole = 0.3264 x[1] = 0.376 y[1] (analytic) = -6.5514077302699788836951501604278 y[1] (numeric) = -6.551407729530021399548291901913 absolute error = 7.399574841468582585148e-10 relative error = 1.1294633376701241175946808988916e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.678 Order of pole = 0.3264 x[1] = 0.377 y[1] (analytic) = -6.5500768797643351158703728793734 y[1] (numeric) = -6.5500768790235134081809531321144 absolute error = 7.408217076894197472590e-10 relative error = 1.1310122328153096944085961341709e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.678 Order of pole = 0.3264 x[1] = 0.378 y[1] (analytic) = -6.5487461322094011154078355045809 y[1] (numeric) = -6.5487461314677147551507566359939 absolute error = 7.416863602570788685870e-10 relative error = 1.1325623948211448024910981382078e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=404.3MB, alloc=4.6MB, time=44.92 Complex estimate of poles used Radius of convergence = 9.678 Order of pole = 0.3264 x[1] = 0.379 y[1] (analytic) = -6.547415487607771210882931912172 y[1] (numeric) = -6.5474154868652197689423911120723 absolute error = 7.425514419405408000997e-10 relative error = 1.1341138245250520586958339378814e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.677 Order of pole = 0.3264 x[1] = 0.38 y[1] (analytic) = -6.5460849459620410183339769706143 y[1] (numeric) = -6.5460849452186240655034093120228 absolute error = 7.434169528305676585915e-10 relative error = 1.1356665227650996832376511210955e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.677 Order of pole = 0.3263 x[1] = 0.381 y[1] (analytic) = -6.5447545072748074415345670638409 y[1] (numeric) = -6.5447545065305245485165885354769 absolute error = 7.442828930179785283640e-10 relative error = 1.1372204903800020608195420426958e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.677 Order of pole = 0.3263 x[1] = 0.382 y[1] (analytic) = -6.5434241715486686722661115556449 y[1] (numeric) = -6.5434241708035194096724620660856 absolute error = 7.451492625936494895593e-10 relative error = 1.1387757282091203023108476463887e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.677 Order of pole = 0.3263 x[1] = 0.383 y[1] (analytic) = -6.5420939387862241905905352803925 y[1] (numeric) = -6.5420939380402081289420216338732 absolute error = 7.460160616485136465193e-10 relative error = 1.1403322370924628069870867172344e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.676 Order of pole = 0.3263 x[1] = 0.384 y[1] (analytic) = -6.5407638089900747651231521451545 y[1] (numeric) = -6.5407638082431914748495909889887 absolute error = 7.468832902735611561658e-10 relative error = 1.1418900178706858253240580439978e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.676 Order of pole = 0.3263 x[1] = 0.385 y[1] (analytic) = -6.5394337821628224533057099284351 y[1] (numeric) = -6.5394337814150715047458706720302 absolute error = 7.477509485598392564049e-10 relative error = 1.1434490713850940223521546394737e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.676 Order of pole = 0.3262 x[1] = 0.386 y[1] (analytic) = -6.5381038583070706016796063607399 y[1] (numeric) = -6.5381038575584515650811540661859 absolute error = 7.486190365984522945540e-10 relative error = 1.1450093984776410415688851864046e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.676 Order of pole = 0.3262 x[1] = 0.387 y[1] (analytic) = -6.5367740374254238461592765722964 y[1] (numeric) = -6.5367740366759362916787148165047 absolute error = 7.494875544805617557917e-10 relative error = 1.1465709999909300694106539552671e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.675 Order of pole = 0.3262 x[1] = 0.388 y[1] (analytic) = -6.5354443195204881123057519933099 y[1] (numeric) = -6.5354443187701316100083657016784 absolute error = 7.503565022973862916315e-10 relative error = 1.1481338767682144002857699511487e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.675 Order of pole = 0.3262 x[1] = 0.389 y[1] (analytic) = -6.5341147045948706156003907922036 y[1] (numeric) = -6.5341147038436447354601890437868 absolute error = 7.512258801402017484168e-10 relative error = 1.1496980296533980021654555243929e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=408.1MB, alloc=4.6MB, time=45.34 Complex estimate of poles used Radius of convergence = 9.675 Order of pole = 0.3262 x[1] = 0.39 y[1] (analytic) = -6.5327851926511798617187799373674 y[1] (numeric) = -6.5327851918990841736184387415262 absolute error = 7.520956881003411958412e-10 relative error = 1.1512634594910360827395689632511e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.675 Order of pole = 0.3262 x[1] = 0.391 y[1] (analytic) = -6.5314557836920256468048089680024 y[1] (numeric) = -6.5314557829390597205356140125115 absolute error = 7.529659262691949554909e-10 relative error = 1.1528301671263356561327426729461e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.674 Order of pole = 0.3261 x[1] = 0.392 y[1] (analytic) = -6.5301264777200190577449155597204 y[1] (numeric) = -6.5301264769661824630067049303108 absolute error = 7.538365947382106294096e-10 relative error = 1.1543981534051561101821441814663e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.674 Order of pole = 0.3261 x[1] = 0.393 y[1] (analytic) = -6.5287972747377724724425029706286 y[1] (numeric) = -6.5287972739830647788436098419411 absolute error = 7.547076935988931286875e-10 relative error = 1.1559674191740097742799069171623e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.674 Order of pole = 0.3261 x[1] = 0.394 y[1] (analytic) = -6.5274681747478995600925294536973 y[1] (numeric) = -6.5274681739923203371497247516235 absolute error = 7.555792229428047020738e-10 relative error = 1.1575379652800624877799120209170e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.674 Order of pole = 0.3261 x[1] = 0.395 y[1] (analytic) = -6.5261391777530152814562697212762 y[1] (numeric) = -6.5261391769965640985947047566658 absolute error = 7.564511828615649646104e-10 relative error = 1.1591097925711341689659967527969e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.673 Order of pole = 0.3261 x[1] = 0.396 y[1] (analytic) = -6.5248102837557358891362485477006 y[1] (numeric) = -6.5248102829984123156893976214093 absolute error = 7.573235734468509262913e-10 relative error = 1.1606829018956993845890817727836e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.673 Order of pole = 0.326 x[1] = 0.397 y[1] (analytic) = -6.5234814927586789278513465959911 y[1] (numeric) = -6.5234814920004825330609495752469 absolute error = 7.581963947903970207442e-10 relative error = 1.1622572941028879199684581207174e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.673 Order of pole = 0.326 x[1] = 0.398 y[1] (analytic) = -6.5221528047644632347120785547236 y[1] (numeric) = -6.5221528040053935877280834207898 absolute error = 7.590696469839951339338e-10 relative error = 1.1638329700424853496570663959801e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.673 Order of pole = 0.326 x[1] = 0.399 y[1] (analytic) = -6.5208242197757089394960436712196 y[1] (numeric) = -6.5208242190157656093765490383281 absolute error = 7.599433301194946328915e-10 relative error = 1.1654099305649336086785745419238e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.672 Order of pole = 0.326 x[1] = 0.4 y[1] (analytic) = -6.5194957377950374649235487672684 y[1] (numeric) = -6.5194957370342200206347463728024 absolute error = 7.608174442888023944660e-10 relative error = 1.1669881765213315643284277094006e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=412.0MB, alloc=4.6MB, time=45.76 Complex estimate of poles used Radius of convergence = 9.672 Order of pole = 0.326 x[1] = 0.401 y[1] (analytic) = -6.5181673588250715269334038236698 y[1] (numeric) = -6.5181673580633795373495209895726 absolute error = 7.616919895838828340972e-10 relative error = 1.1685677087634355885431506065943e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.672 Order of pole = 0.326 x[1] = 0.402 y[1] (analytic) = -6.5168390828684351349588902199552 y[1] (numeric) = -6.5168390821058681688621322853392 absolute error = 7.625669660967579346160e-10 relative error = 1.1701485281436601308424963443787e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.672 Order of pole = 0.3259 x[1] = 0.403 y[1] (analytic) = -6.5155109099277535922039017157069 y[1] (numeric) = -6.5155109091643112182843944406438 absolute error = 7.634423739195072750631e-10 relative error = 1.1717306355150782918344624104844e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.671 Order of pole = 0.3259 x[1] = 0.404 y[1] (analytic) = -6.5141828400056534959192582599803 y[1] (numeric) = -6.5141828392413352827749902004448 absolute error = 7.643182131442680595355e-10 relative error = 1.1733140317314223972971255972475e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.671 Order of pole = 0.3259 x[1] = 0.405 y[1] (analytic) = -6.5128548731047627376791927153882 y[1] (numeric) = -6.5128548723395682538159575693345 absolute error = 7.651944838632351460537e-10 relative error = 1.1748987176470845728271640192796e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.671 Order of pole = 0.3259 x[1] = 0.406 y[1] (analytic) = -6.5115270092277105036580105834867 y[1] (numeric) = -6.5115270084616393174893495080334 absolute error = 7.660711861686610754533e-10 relative error = 1.1764846941171173190613499449169e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.671 Order of pole = 0.3259 x[1] = 0.407 y[1] (analytic) = -6.5101992483771272749069228181692 y[1] (numeric) = -6.5101992476101789547540667178693 absolute error = 7.669483201528561002999e-10 relative error = 1.1780719619972340874699340952140e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.67 Order of pole = 0.3259 x[1] = 0.408 y[1] (analytic) = -6.508871590555644827631051813844 y[1] (numeric) = -6.5088715897878189417228636000175 absolute error = 7.678258859081882138265e-10 relative error = 1.1796605221438098567213009330273e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.67 Order of pole = 0.3258 x[1] = 0.409 y[1] (analytic) = -6.5075440357658962334666106552454 y[1] (numeric) = -6.5075440349971923499395274763487 absolute error = 7.687038835270831788967e-10 relative error = 1.1812503754138817096235735531232e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.67 Order of pole = 0.3258 x[1] = 0.41 y[1] (analytic) = -6.5062165840105158597582557157919 y[1] (numeric) = -6.5062165832409335466562311588034 absolute error = 7.695823131020245569885e-10 relative error = 1.1828415226651494106357913459751e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.67 Order of pole = 0.3258 x[1] = 0.411 y[1] (analytic) = -6.5048892352921393698366126914833 y[1] (numeric) = -6.5048892345216781951110589542798 absolute error = 7.704611747255537372035e-10 relative error = 1.1844339647559759839566443363011e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.669 Order of pole = 0.3258 memory used=415.8MB, alloc=4.6MB, time=46.18 x[1] = 0.412 y[1] (analytic) = -6.5035619896134037232959761573933 y[1] (numeric) = -6.5035619888420632548057061920941 absolute error = 7.713404684902699652992e-10 relative error = 1.1860277025453882921878437596499e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.669 Order of pole = 0.3258 x[1] = 0.413 y[1] (analytic) = -6.5022348469769471762721827338869 y[1] (numeric) = -6.5022348462047269817833523611422 absolute error = 7.722201944888303727447e-10 relative error = 1.1876227368930776155732020150666e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.669 Order of pole = 0.3258 x[1] = 0.414 y[1] (analytic) = -6.5009078073854092817206579497613 y[1] (numeric) = -6.5009078066123089289067079439624 absolute error = 7.731003528139500057989e-10 relative error = 1.1892190686594002318126507076812e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.669 Order of pole = 0.3257 x[1] = 0.415 y[1] (analytic) = -6.4995808708414308896946368895848 y[1] (numeric) = -6.4995808700674499461362350349695 absolute error = 7.739809435584018546153e-10 relative error = 1.1908166987053779964581167578741e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.668 Order of pole = 0.3257 x[1] = 0.416 y[1] (analytic) = -6.4982540373476541476235587125677 y[1] (numeric) = -6.4982540365727921808085418302015 absolute error = 7.748619668150168823662e-10 relative error = 1.1924156278926989238807982899293e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.668 Order of pole = 0.3257 x[1] = 0.417 y[1] (analytic) = -6.4969273069067225005916351303845 y[1] (numeric) = -6.4969273061309790779149510759903 absolute error = 7.757434226766840543942e-10 relative error = 1.1940158570837177688226063996647e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.668 Order of pole = 0.3257 x[1] = 0.418 y[1] (analytic) = -6.4956006795212806916165929314248 y[1] (numeric) = -6.4956006787446553803802425640393 absolute error = 7.766253112363503673855e-10 relative error = 1.1956173871414566085239301322455e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.668 Order of pole = 0.3257 x[1] = 0.419 y[1] (analytic) = -6.4942741551939747619285906390283 y[1] (numeric) = -6.494274154416467129341569760462 absolute error = 7.775076325870208785663e-10 relative error = 1.1972202189296054254303396625892e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.667 Order of pole = 0.3257 x[1] = 0.42 y[1] (analytic) = -6.4929477339274520512493093913302 y[1] (numeric) = -6.492947733149061664427550656405 absolute error = 7.783903868217587349252e-10 relative error = 1.1988243533125226904833108744957e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.667 Order of pole = 0.3256 x[1] = 0.421 y[1] (analytic) = -6.4916214157243611980712181304082 y[1] (numeric) = -6.4916214149450876240375329279519 absolute error = 7.792735740336852024563e-10 relative error = 1.2004297911552359469874308928804e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.667 Order of pole = 0.3256 x[1] = 0.422 y[1] (analytic) = -6.4902952005873521399370131885034 y[1] (numeric) = -6.4902951998071949456210334930745 absolute error = 7.801571943159796954289e-10 relative error = 1.2020365333234423950637880455159e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.667 Order of pole = 0.3256 x[1] = 0.423 y[1] (analytic) = -6.4889690885190761137192323591464 y[1] (numeric) = -6.4889690877380348659573525534684 absolute error = 7.810412477618798056780e-10 relative error = 1.2036445806835094766812347136129e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=419.6MB, alloc=4.6MB, time=46.62 Complex estimate of poles used Radius of convergence = 9.666 Order of pole = 0.3256 x[1] = 0.424 y[1] (analytic) = -6.4876430795221856559000435411042 y[1] (numeric) = -6.4876430787402599214353622091831 absolute error = 7.819257344646813319211e-10 relative error = 1.2052539341024754612746153810650e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.666 Order of pole = 0.3256 x[1] = 0.425 y[1] (analytic) = -6.4863171735993346028512080431233 y[1] (numeric) = -6.4863171728165239483334697340252 absolute error = 7.828106545177383090981e-10 relative error = 1.2068645944480500319456539278106e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.666 Order of pole = 0.3256 x[1] = 0.426 y[1] (analytic) = -6.4849913707531780911142186375205 y[1] (numeric) = -6.4849913699694820830997555997878 absolute error = 7.836960080144630377327e-10 relative error = 1.2084765625886148722446541182882e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.666 Order of pole = 0.3255 x[1] = 0.427 y[1] (analytic) = -6.4836656709863725576806124507488 y[1] (numeric) = -6.4836656702017907626322863374272 absolute error = 7.845817950483261133216e-10 relative error = 1.2100898393932242535433483962078e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.665 Order of pole = 0.3255 x[1] = 0.428 y[1] (analytic) = -6.4823400743015757402724587791275 y[1] (numeric) = -6.482340073516107724559602323383 absolute error = 7.854680157128564557445e-10 relative error = 1.2117044257316056229887294377023e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.665 Order of pole = 0.3255 x[1] = 0.429 y[1] (analytic) = -6.4810145807014466776230219180034 y[1] (numeric) = -6.4810145799150920075213805793053 absolute error = 7.863546701016413386981e-10 relative error = 1.2133203224741601920434202696185e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.665 Order of pole = 0.3255 x[1] = 0.43 y[1] (analytic) = -6.4796891901886457097575990926839 y[1] (numeric) = -6.4796891894014039514492726735278 absolute error = 7.872417583083264191561e-10 relative error = 1.2149375304919635256162956253060e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.665 Order of pole = 0.3255 x[1] = 0.431 y[1] (analytic) = -6.4783639027658344782745335795453 y[1] (numeric) = -6.4783639019777051978479178126946 absolute error = 7.881292804266157668507e-10 relative error = 1.2165560506567661317770396012246e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.664 Order of pole = 0.3255 x[1] = 0.432 y[1] (analytic) = -6.4770387184356759266264031058005 y[1] (numeric) = -6.4770387176466586900761312120217 absolute error = 7.890172365502718937788e-10 relative error = 1.2181758838409940520602022009650e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.664 Order of pole = 0.3254 x[1] = 0.433 y[1] (analytic) = -6.475713637200834300401383616478 y[1] (numeric) = -6.4757136364109286736282678327449 absolute error = 7.899056267731157837331e-10 relative error = 1.2197970309177494523596934784473e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.664 Order of pole = 0.3254 x[1] = 0.434 y[1] (analytic) = -6.4743886590639751476047884972344 y[1] (numeric) = -6.4743886582731806964157615753783 absolute error = 7.907944511890269218561e-10 relative error = 1.2214194927608112144112572354608e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=423.4MB, alloc=4.6MB, time=47.05 Complex estimate of poles used Radius of convergence = 9.663 Order of pole = 0.3254 x[1] = 0.435 y[1] (analytic) = -6.4730637840277653189407833416963 y[1] (numeric) = -6.4730637832360816090488400174794 absolute error = 7.916837098919433242169e-10 relative error = 1.2230432702446355278633971548016e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.663 Order of pole = 0.3254 x[1] = 0.436 y[1] (analytic) = -6.4717390120948729680942763521022 y[1] (numeric) = -6.471739011302299565118414784687 absolute error = 7.925734029758615674152e-10 relative error = 1.2246683642443564829441820447282e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.663 Order of pole = 0.3254 x[1] = 0.437 y[1] (analytic) = -6.4704143432679675520129844620799 y[1] (numeric) = -6.4704143424745040214781476438736 absolute error = 7.934635305348368182063e-10 relative error = 1.2262947756357866637149864864716e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.663 Order of pole = 0.3254 x[1] = 0.438 y[1] (analytic) = -6.469089777549719831189675270473 y[1] (numeric) = -6.4690897767553657385266924073218 absolute error = 7.943540926629828631512e-10 relative error = 1.2279225052954177419181301030392e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.662 Order of pole = 0.3253 x[1] = 0.439 y[1] (analytic) = -6.4677653149428018699445848752002 y[1] (numeric) = -6.4677653141475567804901127369092 absolute error = 7.952450894544721382910e-10 relative error = 1.2295515541004210714178137538554e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.662 Order of pole = 0.3253 x[1] = 0.44 y[1] (analytic) = -6.4664409554498870367080116962029 y[1] (numeric) = -6.4664409546537505157044759373578 absolute error = 7.961365210035357588451e-10 relative error = 1.2311819229286482832342136158548e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.662 Order of pole = 0.3253 x[1] = 0.441 y[1] (analytic) = -6.4651166990736500043030863766079 y[1] (numeric) = -6.4651166982766216168986228276746 absolute error = 7.970283874044635489333e-10 relative error = 1.2328136126586318811715216496548e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.662 Order of pole = 0.3253 x[1] = 0.442 y[1] (analytic) = -6.4637925458167667502287178513066 y[1] (numeric) = -6.4637925450188460614771137799846 absolute error = 7.979206887516040713220e-10 relative error = 1.2344466241695858380408766579288e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.661 Order of pole = 0.3253 x[1] = 0.443 y[1] (analytic) = -6.4624684956819145569427156722228 y[1] (numeric) = -6.4624684948831011318033510150278 absolute error = 7.988134251393646571950e-10 relative error = 1.2360809583414061924795956174754e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.661 Order of pole = 0.3253 x[1] = 0.444 y[1] (analytic) = -6.4611445486717720121450886796129 y[1] (numeric) = -6.4611445478720654154828772436653 absolute error = 7.997065966622114359476e-10 relative error = 1.2377166160546716463653311005546e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.661 Order of pole = 0.3252 x[1] = 0.445 y[1] (analytic) = -6.459820704789019009061520108817 y[1] (numeric) = -6.4598207039884188056468507438113 absolute error = 8.006002034146693650057e-10 relative error = 1.2393535981906441628284221464593e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=427.2MB, alloc=4.6MB, time=47.48 Complex estimate of poles used Radius of convergence = 9.661 Order of pole = 0.3252 x[1] = 0.446 y[1] (analytic) = -6.4584969640363367467270192219487 y[1] (numeric) = -6.4584969632348425012356969622808 absolute error = 8.014942454913222596679e-10 relative error = 1.2409919056312695648599821217610e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.66 Order of pole = 0.3252 x[1] = 0.447 y[1] (analytic) = -6.4571733264164077302697495540882 y[1] (numeric) = -6.4571733256140190072829367311145 absolute error = 8.023887229868128229737e-10 relative error = 1.2426315392591781345211609776955e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.66 Order of pole = 0.3252 x[1] = 0.448 y[1] (analytic) = -6.4558497919319157711950338636105 y[1] (numeric) = -6.4558497911286321351991911880166 absolute error = 8.032836359958426755939e-10 relative error = 1.2442724999576852127481850583434e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.66 Order of pole = 0.3252 x[1] = 0.449 y[1] (analytic) = -6.4545263605855459876695358763577 y[1] (numeric) = -6.4545263597813670030563634906114 absolute error = 8.041789846131723857463e-10 relative error = 1.2459147886107917997586135672547e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.66 Order of pole = 0.3252 x[1] = 0.45 y[1] (analytic) = -6.4532030323799848048056189134349 y[1] (numeric) = -6.4532030315749100358719974142998 absolute error = 8.050747689336214991351e-10 relative error = 1.2475584061031851560569762245671e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.659 Order of pole = 0.3252 x[1] = 0.451 y[1] (analytic) = -6.4518798073179199549458814924834 y[1] (numeric) = -6.4518798065119489658938129235679 absolute error = 8.059709890520685689155e-10 relative error = 1.2492033533202394040427581401694e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.659 Order of pole = 0.3251 x[1] = 0.452 y[1] (analytic) = -6.4505566854020404779478699923547 y[1] (numeric) = -6.4505566845951728328844188066732 absolute error = 8.068676450634511856815e-10 relative error = 1.2508496311480161302182766117480e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.659 Order of pole = 0.3251 x[1] = 0.453 y[1] (analytic) = -6.4492336666350367214689684711851 y[1] (numeric) = -6.4492336658272719844062024637069 absolute error = 8.077647370627660074782e-10 relative error = 1.2524972404732649879991071171445e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.659 Order of pole = 0.3251 x[1] = 0.454 y[1] (analytic) = -6.4479107510196003412514657279436 y[1] (numeric) = -6.4479107502109380761063969381037 absolute error = 8.086622651450687898399e-10 relative error = 1.2541461821834243011297198360523e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.658 Order of pole = 0.3251 x[1] = 0.455 y[1] (analytic) = -6.4465879385584243014077996975924 y[1] (numeric) = -6.4465879377488640720023252817434 absolute error = 8.095602294054744158490e-10 relative error = 1.2557964571666216676972194960252e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.658 Order of pole = 0.3251 x[1] = 0.456 y[1] (analytic) = -6.4452652292542028747059792700858 y[1] (numeric) = -6.4452652284437442447668223438615 absolute error = 8.104586299391569262243e-10 relative error = 1.2574480663116745647571701316344e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=431.0MB, alloc=4.6MB, time=47.90 Complex estimate of poles used Radius of convergence = 9.658 Order of pole = 0.3251 x[1] = 0.457 y[1] (analytic) = -6.4439426231096316428551836234877 y[1] (numeric) = -6.4439426222982741760138340740591 absolute error = 8.113574668413495494286e-10 relative error = 1.2591010105080909535564895066219e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.658 Order of pole = 0.3251 x[1] = 0.458 y[1] (analytic) = -6.4426201201274074967915391615816 y[1] (numeric) = -6.4426201193151507565841944297767 absolute error = 8.122567402073447318049e-10 relative error = 1.2607552906460698853684849616660e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.657 Order of pole = 0.325 x[1] = 0.459 y[1] (analytic) = -6.4412977203102286369640741464009 y[1] (numeric) = -6.4412977194970721868315799786674 absolute error = 8.131564501324941677335e-10 relative error = 1.2624109076165021079287347118305e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.657 Order of pole = 0.325 x[1] = 0.46 y[1] (analytic) = -6.4399754236607945736208511161977 y[1] (numeric) = -6.4399754228467379769086422863809 absolute error = 8.140565967122088298168e-10 relative error = 1.2640678623109706724830153746995e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.657 Order of pole = 0.325 x[1] = 0.461 y[1] (analytic) = -6.4386532301818061270952771794265 y[1] (numeric) = -6.4386532293668489470533181803408 absolute error = 8.149571800419589990857e-10 relative error = 1.2657261556217515414384593681963e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.657 Order of pole = 0.325 x[1] = 0.462 y[1] (analytic) = -6.4373311398759654280925922754051 y[1] (numeric) = -6.4373311390601072278753179801728 absolute error = 8.158582002172742952323e-10 relative error = 1.2673857884418141966258881684334e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.656 Order of pole = 0.325 x[1] = 0.463 y[1] (analytic) = -6.4360091527459759179765354923803 y[1] (numeric) = -6.4360091519292162606427917855137 absolute error = 8.167596573337437068666e-10 relative error = 1.2690467616648222481704038715020e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.656 Order of pole = 0.325 x[1] = 0.464 y[1] (analytic) = -6.434687268794542349056189533803 y[1] (numeric) = -6.4346872679768807975691739120059 absolute error = 8.176615514870156217971e-10 relative error = 1.2707090761851340439707353757963e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.656 Order of pole = 0.325 x[1] = 0.465 y[1] (analytic) = -6.4333654880243707848730034236912 y[1] (numeric) = -6.4333654872058069021002055663533 absolute error = 8.185638827727978573379e-10 relative error = 1.2723727328978032797920328866232e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.656 Order of pole = 0.3249 x[1] = 0.466 y[1] (analytic) = -6.4320438104381686004879935420287 y[1] (numeric) = -6.4320438096187019492011358513918 absolute error = 8.194666512868576906369e-10 relative error = 1.2740377326985796099643741332750e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.655 Order of pole = 0.3249 x[1] = 0.467 y[1] (analytic) = -6.4307222360386444827691230812301 y[1] (numeric) = -6.4307222352182746256441011921976 absolute error = 8.203698571250218890325e-10 relative error = 1.2757040764839092586991371174688e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.655 Order of pole = 0.3249 memory used=434.8MB, alloc=4.6MB, time=48.33 x[1] = 0.468 y[1] (analytic) = -6.4294007648285084306788600147644 y[1] (numeric) = -6.4294007640072349302956832743324 absolute error = 8.212735003831767404320e-10 relative error = 1.2773717651509356320133278584249e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.655 Order of pole = 0.3249 x[1] = 0.469 y[1] (analytic) = -6.4280793968104717555619136691139 y[1] (numeric) = -6.4280793959882941744046455853982 absolute error = 8.221775811572680837157e-10 relative error = 1.2790407995974999302687362807512e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.654 Order of pole = 0.3249 x[1] = 0.47 y[1] (analytic) = -6.4267581319872470814331499903143 y[1] (numeric) = -6.426758131164164981889848651148 absolute error = 8.230820995433013391663e-10 relative error = 1.2807111807221417613259580187767e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.654 Order of pole = 0.3249 x[1] = 0.471 y[1] (analytic) = -6.425436970361548345265685596393 y[1] (numeric) = -6.4254369695375612896283440574718 absolute error = 8.239870556373415389212e-10 relative error = 1.2823829094240997543102070399143e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.654 Order of pole = 0.3249 x[1] = 0.472 y[1] (analytic) = -6.4241159119360907972791607071054 y[1] (numeric) = -6.4241159111111983477436473496535 absolute error = 8.248924495355133574519e-10 relative error = 1.2840559866033121739961124133928e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.654 Order of pole = 0.3248 x[1] = 0.473 y[1] (analytic) = -6.4227949567135910012281910424313 y[1] (numeric) = -6.4227949558877927198941899003662 absolute error = 8.257982813340011420651e-10 relative error = 1.2857304131604175358037573189162e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.653 Order of pole = 0.3248 x[1] = 0.474 y[1] (analytic) = -6.4214741046967668346909987813793 y[1] (numeric) = -6.421474103870062283561949837948 absolute error = 8.267045511290489434313e-10 relative error = 1.2874061899967552214156468216559e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.653 Order of pole = 0.3248 x[1] = 0.475 y[1] (analytic) = -6.4201533558883374893582226727129 y[1] (numeric) = -6.4201533550607262303412621265761 absolute error = 8.276112590169605461368e-10 relative error = 1.2890833180143660950088863859708e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.653 Order of pole = 0.3248 x[1] = 0.476 y[1] (analytic) = -6.4188327102910234713219073892899 y[1] (numeric) = -6.418832709462505066227807890029 absolute error = 8.285184050940994992609e-10 relative error = 1.2907617981159931201060350832773e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.653 Order of pole = 0.3248 x[1] = 0.477 y[1] (analytic) = -6.4175121679075466013646722177793 y[1] (numeric) = -6.4175121670781206119077830708028 absolute error = 8.294259894568891469765e-10 relative error = 1.2924416312050819770424931960720e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.652 Order of pole = 0.3248 x[1] = 0.478 y[1] (analytic) = -6.4161917287406300152490591755979 y[1] (numeric) = -6.4161917279102960030472465164201 absolute error = 8.303340122018126591778e-10 relative error = 1.2941228181857816810568521524942e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.652 Order of pole = 0.3248 x[1] = 0.479 y[1] (analytic) = -6.4148713927929981640070606469784 y[1] (numeric) = -6.4148713919617556905816475848472 absolute error = 8.312424734254130621312e-10 relative error = 1.2958053599629452009987975333950e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=438.7MB, alloc=4.6MB, time=48.75 Complex estimate of poles used Radius of convergence = 9.652 Order of pole = 0.3248 x[1] = 0.48 y[1] (analytic) = -6.4135511600673768142298266301579 y[1] (numeric) = -6.4135511592352254410055333610061 absolute error = 8.321513732242932691518e-10 relative error = 1.2974892574421300786589696280247e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.652 Order of pole = 0.3247 x[1] = 0.481 y[1] (analytic) = -6.4122310305664930483575516877496 y[1] (numeric) = -6.4122310297334323366624355764458 absolute error = 8.330607116951161113038e-10 relative error = 1.2991745115295990487187989315779e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.651 Order of pole = 0.3247 x[1] = 0.482 y[1] (analytic) = -6.4109110042930752649695416924368 y[1] (numeric) = -6.4109110034591047760349373243101 absolute error = 8.339704889346043681267e-10 relative error = 1.3008611231323206593239458297882e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.651 Order of pole = 0.3247 x[1] = 0.483 y[1] (analytic) = -6.4095910812498531790744604602014 y[1] (numeric) = -6.409591080414972474034919661814 absolute error = 8.348807050395407983874e-10 relative error = 1.3025490931579698932821710951931e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.651 Order of pole = 0.3247 x[1] = 0.484 y[1] (analytic) = -6.4082712614395578224007563633691 y[1] (numeric) = -6.4082712606037664622939881925158 absolute error = 8.357913601067681708533e-10 relative error = 1.3042384225149287898786624556189e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.651 Order of pole = 0.3247 x[1] = 0.485 y[1] (analytic) = -6.4069515448649215436872690158433 y[1] (numeric) = -6.4069515440282190894540797207473 absolute error = 8.367024542331892950960e-10 relative error = 1.3059291121122870673244623597591e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.65 Order of pole = 0.3247 x[1] = 0.486 y[1] (analytic) = -6.4056319315286780089740161229525 y[1] (numeric) = -6.4056319306910640214582490706381 absolute error = 8.376139875157670523144e-10 relative error = 1.3076211628598427458211961162098e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.65 Order of pole = 0.3247 x[1] = 0.487 y[1] (analytic) = -6.4043124214335622018931605884328 y[1] (numeric) = -6.4043124205950362418416361622458 absolute error = 8.385259600515244261870e-10 relative error = 1.3093145756681027712580619808198e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.65 Order of pole = 0.3247 x[1] = 0.488 y[1] (analytic) = -6.4029930145823104239601579711261 y[1] (numeric) = -6.4029930137428720520226134373792 absolute error = 8.394383719375445337469e-10 relative error = 1.3110093514482836395316139278590e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.65 Order of pole = 0.3246 x[1] = 0.489 y[1] (analytic) = -6.4016737109776602948650843840578 y[1] (numeric) = -6.4016737101373090715941137277753 absolute error = 8.403512232709706562825e-10 relative error = 1.3127054911123120214936917834287e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.649 Order of pole = 0.3246 x[1] = 0.49 y[1] (analytic) = -6.4003545106223507527641449286313 y[1] (numeric) = -6.4003545097810862386151386583677 absolute error = 8.412645141490062702636e-10 relative error = 1.3144029955728253885277059544379e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=442.5MB, alloc=4.6MB, time=49.17 Complex estimate of poles used Radius of convergence = 9.649 Order of pole = 0.3246 x[1] = 0.491 y[1] (analytic) = -6.3990354135191220545713627567492 y[1] (numeric) = -6.3990354126769438099024476784578 absolute error = 8.421782446689150782914e-10 relative error = 1.3161018657431726387516087329897e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.649 Order of pole = 0.3246 x[1] = 0.492 y[1] (analytic) = -6.3977164196707157762504488537513 y[1] (numeric) = -6.3977164188276233613224278136757 absolute error = 8.430924149280210400756e-10 relative error = 1.3178021025374147238532274633483e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.648 Order of pole = 0.3246 x[1] = 0.493 y[1] (analytic) = -6.3963975290798748131068526351283 y[1] (numeric) = -6.3963975282358677880831442316943 absolute error = 8.440070250237084034340e-10 relative error = 1.3195037068703252765514495440838e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.648 Order of pole = 0.3246 x[1] = 0.494 y[1] (analytic) = -6.3950787417493433800799934500522 y[1] (numeric) = -6.3950787409044213050265717147327 absolute error = 8.449220750534217353195e-10 relative error = 1.3212066796573912386915933560479e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.648 Order of pole = 0.3246 x[1] = 0.495 y[1] (analytic) = -6.3937600576818670120356730848351 y[1] (numeric) = -6.3937600568360294469210071319638 absolute error = 8.458375651146659528713e-10 relative error = 1.3229110218148134899706440440084e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.648 Order of pole = 0.3246 x[1] = 0.496 y[1] (analytic) = -6.3924414768801925640586693595048 y[1] (numeric) = -6.3924414760334390687536630050137 absolute error = 8.467534953050063544911e-10 relative error = 1.3246167342595074772942830234516e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.647 Order of pole = 0.3245 x[1] = 0.497 y[1] (analytic) = -6.391122999347068211745510910761 y[1] (numeric) = -6.3911229984993983460234422598169 absolute error = 8.476698657220686509441e-10 relative error = 1.3263238179091038447660782831588e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.647 Order of pole = 0.3245 x[1] = 0.498 y[1] (analytic) = -6.3898046250852434514974332546561 y[1] (numeric) = -6.3898046242366567750338942581683 absolute error = 8.485866764635389964878e-10 relative error = 1.3280322736819490643142108228647e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.647 Order of pole = 0.3245 x[1] = 0.499 y[1] (analytic) = -6.3884863540974691008135162224067 y[1] (numeric) = -6.3884863532479651731863522023859 absolute error = 8.495039276271640200208e-10 relative error = 1.3297421024971060669442157107019e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.647 Order of pole = 0.3245 x[1] = 0.5 y[1] (analytic) = -6.387168186386497298584002862841 y[1] (numeric) = -6.3871681855360756792732520065766 absolute error = 8.504216193107508562644e-10 relative error = 1.3314533052743548746384490696797e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.646 Order of pole = 0.3245 x[1] = 0.501 y[1] (analytic) = -6.3858501219550815053837999050316 y[1] (numeric) = -6.3858501211037417537716327280711 absolute error = 8.513397516121671769605e-10 relative error = 1.3331658829341932328771434959774e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=446.3MB, alloc=4.6MB, time=49.59 Complex estimate of poles used Radius of convergence = 9.646 Order of pole = 0.3245 x[1] = 0.502 y[1] (analytic) = -6.384532160805976503766159874775 y[1] (numeric) = -6.3845321599537181791368186526716 absolute error = 8.522583246293412221034e-10 relative error = 1.3348798363978372438092829112129e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.646 Order of pole = 0.3245 x[1] = 0.503 y[1] (analytic) = -6.3832143029419383985565449586208 y[1] (numeric) = -6.3832143020887610600962831274301 absolute error = 8.531773384602618311907e-10 relative error = 1.3365951665872220000508160411000e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.646 Order of pole = 0.3245 x[1] = 0.504 y[1] (analytic) = -6.3818965483657246171466727092543 y[1] (numeric) = -6.3818965475116278239436942347524 absolute error = 8.540967932029784745019e-10 relative error = 1.3383118744250022191243564701760e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.645 Order of pole = 0.3245 x[1] = 0.505 y[1] (analytic) = -6.3805788970800939097887436861021 y[1] (numeric) = -6.3805788962250772208331424016984 absolute error = 8.550166889556012844037e-10 relative error = 1.3400299608345528785394946252468e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.645 Order of pole = 0.3244 x[1] = 0.506 y[1] (analytic) = -6.379261349087806349889851125104 y[1] (numeric) = -6.3792613482318693240735500384257 absolute error = 8.559370258163010866783e-10 relative error = 1.3417494267399698515086128097707e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.645 Order of pole = 0.3244 x[1] = 0.507 y[1] (analytic) = -6.3779439043916233343065727316764 y[1] (numeric) = -6.3779439035347655304232632997989 absolute error = 8.568578038833094318775e-10 relative error = 1.3434702730660705433032770211101e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.645 Order of pole = 0.3244 x[1] = 0.508 y[1] (analytic) = -6.3766265629943075836397446909678 y[1] (numeric) = -6.3766265621365285603848260642642 absolute error = 8.577790232549186267036e-10 relative error = 1.3451925007383945282534645409951e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.644 Order of pole = 0.3244 x[1] = 0.509 y[1] (analytic) = -6.3753093248986231425294179895795 y[1] (numeric) = -6.3753093240399224584999362241648 absolute error = 8.587006840294817654147e-10 relative error = 1.3469161106832041873865566286761e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.644 Order of pole = 0.3244 x[1] = 0.51 y[1] (analytic) = -6.3739921901073353799499971430037 y[1] (numeric) = -6.3739921892477125936445843817481 absolute error = 8.596227863054127612556e-10 relative error = 1.3486411038274853467086682003168e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.644 Order of pole = 0.3244 x[1] = 0.511 y[1] (analytic) = -6.3726751586232109895055614231082 y[1] (numeric) = -6.3726751577626656593243750451941 absolute error = 8.605453301811863779141e-10 relative error = 1.3503674810989479161286934307074e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.644 Order of pole = 0.3244 x[1] = 0.512 y[1] (analytic) = -6.3713582304490179897253686800718 y[1] (numeric) = -6.3713582295875496739700304190685 absolute error = 8.614683157553382610033e-10 relative error = 1.3520952434260265290267021378298e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=450.1MB, alloc=4.6MB, time=50.02 Complex estimate of poles used Radius of convergence = 9.643 Order of pole = 0.3244 x[1] = 0.513 y[1] (analytic) = -6.3700414055875257243595418532507 y[1] (numeric) = -6.3700414047251339812330768836822 absolute error = 8.623917431264649695685e-10 relative error = 1.3538243917378811824651844958086e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.643 Order of pole = 0.3244 x[1] = 0.514 y[1] (analytic) = -6.3687246840415048626749382655357 y[1] (numeric) = -6.3687246831781892502817142579152 absolute error = 8.633156123932240076205e-10 relative error = 1.3555549269643978780466633680463e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.643 Order of pole = 0.3243 x[1] = 0.515 y[1] (analytic) = -6.367408065813727399751201795833 y[1] (numeric) = -6.3674080649494874760968679401389 absolute error = 8.642399236543338556941e-10 relative error = 1.3572868500361892634164875587569e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.642 Order of pole = 0.3243 x[1] = 0.516 y[1] (analytic) = -6.3660915509069666567769980243803 y[1] (numeric) = -6.3660915500418019797684240219477 absolute error = 8.651646770085740024326e-10 relative error = 1.3590201618845952744127586391960e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.642 Order of pole = 0.3243 x[1] = 0.517 y[1] (analytic) = -6.3647751393239972813464324456863 y[1] (numeric) = -6.3647751384579074087916474694891 absolute error = 8.660898725547849761972e-10 relative error = 1.3607548634416837778623617324604e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.642 Order of pole = 0.3243 x[1] = 0.518 y[1] (analytic) = -6.3634588310675952477556518439572 y[1] (numeric) = -6.3634588302005797373637834672553 absolute error = 8.670155103918683767019e-10 relative error = 1.3624909556402512150247401157381e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.642 Order of pole = 0.3243 x[1] = 0.519 y[1] (analytic) = -6.3621426261405378572996289259554 y[1] (numeric) = -6.3621426252725962666808420192796 absolute error = 8.679415906187869066758e-10 relative error = 1.3642284394138232456870992258096e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.641 Order of pole = 0.3243 x[1] = 0.52 y[1] (analytic) = -6.3608265245456037385691303063034 y[1] (numeric) = -6.3608265236767356252345659027549 absolute error = 8.688681133345644035485e-10 relative error = 1.3659673156966553929049842684800e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.641 Order of pole = 0.3243 x[1] = 0.521 y[1] (analytic) = -6.3595105262855728477478679403345 y[1] (numeric) = -6.3595105254157777691095820691715 absolute error = 8.697950786382858711630e-10 relative error = 1.3677075854237336883958455790036e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.641 Order of pole = 0.3243 x[1] = 0.522 y[1] (analytic) = -6.3581946313632264689098340996598 y[1] (numeric) = -6.3581946304925039822807365881454 absolute error = 8.707224866290975115144e-10 relative error = 1.3694492495307753185836242449485e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.641 Order of pole = 0.3243 x[1] = 0.523 y[1] (analytic) = -6.3568788397813472143168199857005 y[1] (numeric) = -6.3568788389096968769106132291882 absolute error = 8.716503374062067565123e-10 relative error = 1.3711923089542292712917576778819e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.64 Order of pole = 0.3243 memory used=453.9MB, alloc=4.6MB, time=50.45 x[1] = 0.524 y[1] (analytic) = -6.3555631515427190247161180765171 y[1] (numeric) = -6.3555631506701403936472357767453 absolute error = 8.725786310688822997718e-10 relative error = 1.3729367646312769830930141599965e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.64 Order of pole = 0.3243 x[1] = 0.525 y[1] (analytic) = -6.3542475666501271696384083023353 y[1] (numeric) = -6.3542475657766198019219541739072 absolute error = 8.735073677164541284281e-10 relative error = 1.3746826174998329873089988646974e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.64 Order of pole = 0.3242 x[1] = 0.526 y[1] (analytic) = -6.3529320851063582476958281452533 y[1] (numeric) = -6.3529320842319217002475145902753 absolute error = 8.744365474483135549780e-10 relative error = 1.3764298684985455626652264974491e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.64 Order of pole = 0.3242 x[1] = 0.527 y[1] (analytic) = -6.3516167069142001868802267586881 y[1] (numeric) = -6.3516167060388340165163135095419 absolute error = 8.753661703639132491462e-10 relative error = 1.3781785185667973825991633710386e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.639 Order of pole = 0.3242 x[1] = 0.528 y[1] (analytic) = -6.3503014320764422448616032022003 y[1] (numeric) = -6.3503014312001460082988359324208 absolute error = 8.762962365627672697795e-10 relative error = 1.3799285686447061652268256843996e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.639 Order of pole = 0.3242 x[1] = 0.529 y[1] (analytic) = -6.3489862605958750092867288874065 y[1] (numeric) = -6.3489862597186482631422777906431 absolute error = 8.772267461444510967634e-10 relative error = 1.3816800196731253239599842346697e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.639 Order of pole = 0.3242 x[1] = 0.53 y[1] (analytic) = -6.3476711924752903980779543307786 y[1] (numeric) = -6.3476711915971326988693526678097 absolute error = 8.781576992086016629689e-10 relative error = 1.3834328725936446187869648515194e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.639 Order of pole = 0.3242 x[1] = 0.531 y[1] (analytic) = -6.3463562277174816597322003091923 y[1] (numeric) = -6.3463562268383925638772829229708 absolute error = 8.790890958549173862215e-10 relative error = 1.3851871283485908082051588707567e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.638 Order of pole = 0.3242 x[1] = 0.532 y[1] (analytic) = -6.3450413663252433736201335141763 y[1] (numeric) = -6.3450413654452224374369753128786 absolute error = 8.800209361831582012977e-10 relative error = 1.3869427878810283018142991768478e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.638 Order of pole = 0.3242 x[1] = 0.533 y[1] (analytic) = -6.3437266083013714502855268008874 y[1] (numeric) = -6.3437266074204182299923812089394 absolute error = 8.809532202931455919480e-10 relative error = 1.3886998521347598135696409591253e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.638 Order of pole = 0.3242 x[1] = 0.534 y[1] (analytic) = -6.3424119536486631317448041279115 y[1] (numeric) = -6.3424119527667771834600415049672 absolute error = 8.818859482847626229443e-10 relative error = 1.3904583220543270156924502106601e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.637 Order of pole = 0.3242 x[1] = 0.535 y[1] (analytic) = -6.3410974023699169917867702840759 y[1] (numeric) = -6.3410974014870978715288163119207 absolute error = 8.828191202579539721552e-10 relative error = 1.3922181985850111932440296387199e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=457.7MB, alloc=4.6MB, time=50.89 Complex estimate of poles used Radius of convergence = 9.637 Order of pole = 0.3242 x[1] = 0.536 y[1] (analytic) = -6.3397829544679329362725254985271 y[1] (numeric) = -6.3397829535841801999597995358818 absolute error = 8.837527363127259626453e-10 relative error = 1.3939794826728338993578493338088e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.637 Order of pole = 0.3242 x[1] = 0.537 y[1] (analytic) = -6.3384686099455122034355650304151 y[1] (numeric) = -6.3384686090608254068864184356125 absolute error = 8.846867965491465948026e-10 relative error = 1.3957421752645576111369615433640e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.637 Order of pole = 0.3241 x[1] = 0.538 y[1] (analytic) = -6.3371543688054573641820638345955 y[1] (numeric) = -6.3371543679198360631147182561062 absolute error = 8.856213010673455784893e-10 relative error = 1.3975062773076863862100041168993e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.636 Order of pole = 0.3241 x[1] = 0.539 y[1] (analytic) = -6.3358402310505723223913463998474 y[1] (numeric) = -6.3358402301640160724238320346256 absolute error = 8.865562499675143652218e-10 relative error = 1.3992717897504665199556581322159e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.636 Order of pole = 0.3241 x[1] = 0.54 y[1] (analytic) = -6.3345261966836623152165418561744 y[1] (numeric) = -6.3345261957961706718666356757998 absolute error = 8.874916433499061803746e-10 relative error = 1.4010387135418872033879182368860e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.636 Order of pole = 0.3241 x[1] = 0.541 y[1] (analytic) = -6.3332122657075339133854244478407 y[1] (numeric) = -6.3332122648191064320705883924293 absolute error = 8.884274813148360554114e-10 relative error = 1.4028070496316811817081004266965e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.636 Order of pole = 0.3241 x[1] = 0.542 y[1] (analytic) = -6.3318984381249950215014394688687 y[1] (numeric) = -6.3318984372356312575387586087283 absolute error = 8.893637639626808601404e-10 relative error = 1.4045767989703254135195718615377e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.635 Order of pole = 0.3241 x[1] = 0.543 y[1] (analytic) = -6.3305847139388548783449147578096 y[1] (numeric) = -6.3305847130485543869510354228101 absolute error = 8.903004913938793349995e-10 relative error = 1.4063479625090417307149231232676e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.635 Order of pole = 0.3241 x[1] = 0.544 y[1] (analytic) = -6.3292710931519240571744578486651 y[1] (numeric) = -6.3292710922606863934655257253015 absolute error = 8.912376637089321233636e-10 relative error = 1.4081205411997974990239896548686e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.635 Order of pole = 0.3241 x[1] = 0.545 y[1] (analytic) = -6.3279575757670144660285388749305 y[1] (numeric) = -6.3279575748748391850201370710493 absolute error = 8.921752810084018038812e-10 relative error = 1.4098945359953062792348138604419e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.635 Order of pole = 0.3241 x[1] = 0.546 y[1] (analytic) = -6.326644161786939348027259323797 y[1] (numeric) = -6.326644160893826004634346400962 absolute error = 8.931133433929129228350e-10 relative error = 1.4116699478490284890799013834670e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=461.5MB, alloc=4.6MB, time=51.33 Complex estimate of poles used Radius of convergence = 9.634 Order of pole = 0.3241 x[1] = 0.547 y[1] (analytic) = -6.3253308512145132816743067376379 y[1] (numeric) = -6.3253308503204614307111547111072 absolute error = 8.940518509631520265307e-10 relative error = 1.4134467777151720657951310175950e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.634 Order of pole = 0.3241 x[1] = 0.548 y[1] (analytic) = -6.324017644052552181159095459975 y[1] (numeric) = -6.3240176431575613773392277662654 absolute error = 8.949908038198676937096e-10 relative error = 1.4152250265486931293450906438974e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.634 Order of pole = 0.3241 x[1] = 0.549 y[1] (analytic) = -6.3227045403038732966590935232094 y[1] (numeric) = -6.3227045394079430945952229552182 absolute error = 8.959302020638705679912e-10 relative error = 1.4170046953052966463253658797079e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.633 Order of pole = 0.3241 x[1] = 0.55 y[1] (analytic) = -6.3213915399712952146423357754666 y[1] (numeric) = -6.3213915390744251688463023851287 absolute error = 8.968700457960333903379e-10 relative error = 1.4187857849414370945300200637374e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.633 Order of pole = 0.324 x[1] = 0.551 y[1] (analytic) = -6.3200786430576378581701233440003 y[1] (numeric) = -6.3200786421598275230528323124515 absolute error = 8.978103351172910315488e-10 relative error = 1.4205682964143191281960599704448e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.633 Order of pole = 0.324 x[1] = 0.552 y[1] (analytic) = -6.3187658495657224871999095326663 y[1] (numeric) = -6.3187658486669714170712690078866 absolute error = 8.987510701286405247797e-10 relative error = 1.4223522306818982439210332969953e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.633 Order of pole = 0.324 x[1] = 0.553 y[1] (analytic) = -6.3174531594983716988883722510609 y[1] (numeric) = -6.3174531585986794479572311529735 absolute error = 8.996922509311410980874e-10 relative error = 1.4241375887028814472514801340285e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.632 Order of pole = 0.324 x[1] = 0.554 y[1] (analytic) = -6.3161405728584094278946730730014 y[1] (numeric) = -6.316140571957775550268758865998 absolute error = 9.006338776259142070034e-10 relative error = 1.4259243714367279199510392214588e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.632 Order of pole = 0.324 x[1] = 0.555 y[1] (analytic) = -6.3148280896486609466839030220977 y[1] (numeric) = -6.3148280887470849963697594549659 absolute error = 9.015759503141435671318e-10 relative error = 1.4277125798436496879407132682889e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.632 Order of pole = 0.324 x[1] = 0.556 y[1] (analytic) = -6.3135157098719528658307151822494 y[1] (numeric) = -6.3135157089694343967336399954758 absolute error = 9.025184690970751867736e-10 relative error = 1.4295022148846122899155056931577e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.632 Order of pole = 0.324 x[1] = 0.557 y[1] (analytic) = -6.3122034335311131343231442309822 y[1] (numeric) = -6.3122034326276517002471268314023 absolute error = 9.034614340760173995799e-10 relative error = 1.4312932775213354466421230777202e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=465.4MB, alloc=4.6MB, time=51.78 Complex estimate of poles used Radius of convergence = 9.631 Order of pole = 0.324 x[1] = 0.558 y[1] (analytic) = -6.3108912606289710398666129936105 y[1] (numeric) = -6.3108912597245661945142720963819 absolute error = 9.044048453523408972286e-10 relative error = 1.4330857687162937309299270492739e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.631 Order of pole = 0.324 x[1] = 0.559 y[1] (analytic) = -6.3095791911683572091881261163007 y[1] (numeric) = -6.3095791902630085061606473541712 absolute error = 9.053487030274787621295e-10 relative error = 1.4348796894327172382836303463308e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.631 Order of pole = 0.324 x[1] = 0.56 y[1] (analytic) = -6.3082672251521036083406509561831 y[1] (numeric) = -6.3082672242458106011377244560287 absolute error = 9.062930072029265001544e-10 relative error = 1.4366750406345922582330882759326e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.631 Order of pole = 0.324 x[1] = 0.561 y[1] (analytic) = -6.3069553625830435430076857867456 y[1] (numeric) = -6.3069553616758057850274437133494 absolute error = 9.072377579802420733962e-10 relative error = 1.4384718232866619463472617687579e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.63 Order of pole = 0.324 x[1] = 0.562 y[1] (analytic) = -6.3056436034640116588080154168145 y[1] (numeric) = -6.3056436025558287033469694838624 absolute error = 9.081829554610459329521e-10 relative error = 1.4402700383544269969253253310058e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.63 Order of pole = 0.324 x[1] = 0.563 y[1] (analytic) = -6.3043319477978439416006543215145 y[1] (numeric) = -6.3043319468887153418536332697806 absolute error = 9.091285997470210517339e-10 relative error = 1.4420696868041463163704122159389e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.63 Order of pole = 0.324 x[1] = 0.564 y[1] (analytic) = -6.3030203955873777177899773836793 y[1] (numeric) = -6.303020394677303026850064426372 absolute error = 9.100746909399129573073e-10 relative error = 1.4438707696028376972497527423479e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.63 Order of pole = 0.324 x[1] = 0.565 y[1] (analytic) = -6.3017089468354516546310383442542 y[1] (numeric) = -6.3017089459244304254895085795012 absolute error = 9.110212291415297647530e-10 relative error = 1.4456732877182784930305270669907e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.629 Order of pole = 0.324 x[1] = 0.566 y[1] (analytic) = -6.3003976015449057605350760603312 y[1] (numeric) = -6.3003976006329375460813338507706 absolute error = 9.119682144537422095606e-10 relative error = 1.4474772421190062935096226548541e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.629 Order of pole = 0.324 x[1] = 0.567 y[1] (analytic) = -6.2990863597185813853752086695143 y[1] (numeric) = -6.2990863588056657383967249889708 absolute error = 9.129156469784836805435e-10 relative error = 1.4492826337743196009193209149603e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.629 Order of pole = 0.3239 x[1] = 0.568 y[1] (analytic) = -6.2977752213593212207923157594126 y[1] (numeric) = -6.2977752204454576939745655066282 absolute error = 9.138635268177502527844e-10 relative error = 1.4510894636542785067248874328112e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=469.2MB, alloc=4.6MB, time=52.21 Complex estimate of poles used Radius of convergence = 9.628 Order of pole = 0.3239 x[1] = 0.569 y[1] (analytic) = -6.2964641864699693005011086411259 y[1] (numeric) = -6.2964641855551574464275079205205 absolute error = 9.148118540736007206054e-10 relative error = 1.4528977327297053691052906863834e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.628 Order of pole = 0.3239 x[1] = 0.57 y[1] (analytic) = -6.2951532550533710005963888256744 y[1] (numeric) = -6.295153254137610371748232195109 absolute error = 9.157606288481566305654e-10 relative error = 1.4547074419721854911220793186449e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.628 Order of pole = 0.3239 x[1] = 0.571 y[1] (analytic) = -6.2938424271123730398594948024036 y[1] (numeric) = -6.2938424261956631886158924879175 absolute error = 9.167098512436023144861e-10 relative error = 1.4565185923540677995792316771353e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.628 Order of pole = 0.3239 x[1] = 0.572 y[1] (analytic) = -6.2925317026498234800649372184687 y[1] (numeric) = -6.2925317017321639587027522959682 absolute error = 9.176595213621849225005e-10 relative error = 1.4583311848484655245650356978395e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.627 Order of pole = 0.3239 x[1] = 0.573 y[1] (analytic) = -6.2912210816685717262872225585992 y[1] (numeric) = -6.2912210807499620869810081024656 absolute error = 9.186096393062144561336e-10 relative error = 1.4601452204292568796921563184387e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.627 Order of pole = 0.3239 x[1] = 0.574 y[1] (analytic) = -6.2899105641714685272078654244041 y[1] (numeric) = -6.2899105632519083220298016229992 absolute error = 9.195602051780638014049e-10 relative error = 1.4619607000710857430201182509169e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.627 Order of pole = 0.3239 x[1] = 0.575 y[1] (analytic) = -6.2886001501613659754225895125788 y[1] (numeric) = -6.2886001492408547563424207506167 absolute error = 9.205112190801687619621e-10 relative error = 1.4637776247493623386758908407660e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.627 Order of pole = 0.3239 x[1] = 0.576 y[1] (analytic) = -6.2872898396411175077487173914375 y[1] (numeric) = -6.2872898387196548266336892992 absolute error = 9.214626811150280922375e-10 relative error = 1.4655959954402639191598174098617e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.626 Order of pole = 0.3239 x[1] = 0.577 y[1] (analytic) = -6.2859796326135779055327491752935 y[1] (numeric) = -6.2859796316911633141475456446578 absolute error = 9.224145913852035306357e-10 relative error = 1.4674158131207354483513132495763e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.626 Order of pole = 0.3239 x[1] = 0.578 y[1] (analytic) = -6.2846695290816032949581301962716 y[1] (numeric) = -6.2846695281582363449648103635273 absolute error = 9.233669499933198327443e-10 relative error = 1.4692370787684902852018893034575e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.626 Order of pole = 0.3239 x[1] = 0.579 y[1] (analytic) = -6.2833595290480511473532077732354 y[1] (numeric) = -6.2833595281237313903111429686609 absolute error = 9.243197570420648045745e-10 relative error = 1.4710597933620108681272283500508e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.626 Order of pole = 0.3239 memory used=473.0MB, alloc=4.6MB, time=52.66 x[1] = 0.58 y[1] (analytic) = -6.2820496325157802794993771775791 y[1] (numeric) = -6.2820496315905072668651878417528 absolute error = 9.252730126341893358263e-10 relative error = 1.4728839578805494000906392947072e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.625 Order of pole = 0.3239 x[1] = 0.581 y[1] (analytic) = -6.280739839487650853939416895725 y[1] (numeric) = -6.280739838561424137066909462542 absolute error = 9.262267168725074331830e-10 relative error = 1.4747095733041285343861237112986e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.625 Order of pole = 0.3239 x[1] = 0.582 y[1] (analytic) = -6.2794301499665243792860132882402 y[1] (numeric) = -6.2794301490393435094261170346096 absolute error = 9.271808698598962536306e-10 relative error = 1.4765366406135420611148104007043e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.625 Order of pole = 0.3239 x[1] = 0.583 y[1] (analytic) = -6.2781205639552637105304747455747 y[1] (numeric) = -6.2781205630271282388311786077685 absolute error = 9.281354716992961378062e-10 relative error = 1.4783651607903555943620420403471e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.624 Order of pole = 0.3239 x[1] = 0.584 y[1] (analytic) = -6.2768110814567330493516354404972 y[1] (numeric) = -6.2768110805276425268579247971262 absolute error = 9.290905224937106433710e-10 relative error = 1.4801951348169072600688678943061e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.624 Order of pole = 0.3239 x[1] = 0.585 y[1] (analytic) = -6.2755017024737979444249487773938 y[1] (numeric) = -6.2755017015437519220787421989803 absolute error = 9.300460223462065784135e-10 relative error = 1.4820265636763083846076207517159e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.624 Order of pole = 0.3239 x[1] = 0.586 y[1] (analytic) = -6.2741924270093252917317706386684 y[1] (numeric) = -6.2741924260783233203718566037909 absolute error = 9.310019713599140348775e-10 relative error = 1.4838594483524441840537399270313e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.624 Order of pole = 0.3239 x[1] = 0.587 y[1] (analytic) = -6.2728832550661833348688325285692 y[1] (numeric) = -6.2728832541342249652308061065518 absolute error = 9.319583696380264220174e-10 relative error = 1.4856937898299744541585825998911e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.623 Order of pole = 0.3239 x[1] = 0.588 y[1] (analytic) = -6.2715741866472416653579047148489 y[1] (numeric) = -6.2715741857143264480741042149671 absolute error = 9.329152172838004998818e-10 relative error = 1.4875295890943342610255815919026e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.623 Order of pole = 0.3239 x[1] = 0.589 y[1] (analytic) = -6.2702652217553712229556494687432 y[1] (numeric) = -6.2702652208214987085550930559191 absolute error = 9.338725144005564128241e-10 relative error = 1.4893668471317346324884431518455e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.623 Order of pole = 0.3239 x[1] = 0.59 y[1] (analytic) = -6.2689563603934442959636645038347 y[1] (numeric) = -6.2689563594586140348719867807957 absolute error = 9.348302610916777230390e-10 relative error = 1.4912055649291632501903948122628e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.623 Order of pole = 0.3239 x[1] = 0.591 y[1] (analytic) = -6.2676476025643345215387167144546 y[1] (numeric) = -6.2676476016285460640781052703278 absolute error = 9.357884574606114441268e-10 relative error = 1.4930457434743851423682778531966e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=476.8MB, alloc=4.6MB, time=53.08 Complex estimate of poles used Radius of convergence = 9.622 Order of pole = 0.3239 x[1] = 0.592 y[1] (analytic) = -6.2663389482709168860031663143545 y[1] (numeric) = -6.2663389473341697823922982396677 absolute error = 9.367471036108680746868e-10 relative error = 1.4948873837559433773443273935133e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.622 Order of pole = 0.3239 x[1] = 0.593 y[1] (analytic) = -6.2650303975160677251555814764572 y[1] (numeric) = -6.2650303965783615255095598445221 absolute error = 9.377061996460216319351e-10 relative error = 1.4967304867631597577189105521643e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.622 Order of pole = 0.3239 x[1] = 0.594 y[1] (analytic) = -6.2637219503026647245815435745859 y[1] (numeric) = -6.2637219493639989789118338892348 absolute error = 9.386657456697096853511e-10 relative error = 1.4985750534861355152718499682212e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.621 Order of pole = 0.3239 x[1] = 0.595 y[1] (analytic) = -6.2624136066335869199646431281485 y[1] (numeric) = -6.2624136056939611781790097377969 absolute error = 9.396257417856333903516e-10 relative error = 1.5004210849157520065713494846887e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.621 Order of pole = 0.3239 x[1] = 0.596 y[1] (analytic) = -6.2611053665117146973976665508348 y[1] (numeric) = -6.2611053655711285093001090288424 absolute error = 9.405861880975575219924e-10 relative error = 1.5022685820436714092911339576677e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.621 Order of pole = 0.3238 x[1] = 0.597 y[1] (analytic) = -6.2597972299399297936939738044671 y[1] (numeric) = -6.2597972289983827089846632957717 absolute error = 9.415470847093105086954e-10 relative error = 1.5041175458623374192333805717553e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.621 Order of pole = 0.3238 x[1] = 0.598 y[1] (analytic) = -6.2584891969211152966990670592309 y[1] (numeric) = -6.2584891959786068649742825932255 absolute error = 9.425084317247844660054e-10 relative error = 1.5059679773649759480649211740419e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.62 Order of pole = 0.3238 x[1] = 0.599 y[1] (analytic) = -6.2571812674581556456023504615877 y[1] (numeric) = -6.2571812665146854163544152312147 absolute error = 9.434702292479352303730e-10 relative error = 1.5078198775455958217617416085224e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.62 Order of pole = 0.3238 x[1] = 0.6 y[1] (analytic) = -6.2558734415539366312490811112601 y[1] (numeric) = -6.2558734406095041538662987182944 absolute error = 9.444324773827823929657e-10 relative error = 1.5096732473989894797659067867758e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.62 Order of pole = 0.3238 x[1] = 0.601 y[1] (analytic) = -6.2545657192113453964525113487567 y[1] (numeric) = -6.2545657182659502202191020152518 absolute error = 9.453951762334093335049e-10 relative error = 1.5115280879207336748520119133037e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.62 Order of pole = 0.3238 x[1] = 0.602 y[1] (analytic) = -6.2532581004332704363062224549935 y[1] (numeric) = -6.2532580994869121104022592008606 absolute error = 9.463583259039632541329e-10 relative error = 1.5133844001071901737104897334002e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=480.6MB, alloc=4.6MB, time=53.51 Complex estimate of poles used Radius of convergence = 9.619 Order of pole = 0.3238 x[1] = 0.603 y[1] (analytic) = -6.2519505852226015984966498646421 y[1] (numeric) = -6.251950584275279671997994651337 absolute error = 9.473219264986552133051e-10 relative error = 1.5152421849555064582408800144792e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.619 Order of pole = 0.3238 x[1] = 0.604 y[1] (analytic) = -6.2506431735822300836157999949254 y[1] (numeric) = -6.2506431726339441054940398352144 absolute error = 9.482859781217601597110e-10 relative error = 1.5171014434636164275615941864795e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.619 Order of pole = 0.3238 x[1] = 0.605 y[1] (analytic) = -6.2493358655150484454741587916591 y[1] (numeric) = -6.2493358645657979645965418254372 absolute error = 9.492504808776169662219e-10 relative error = 1.5189621766302411007335976669971e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.619 Order of pole = 0.3238 x[1] = 0.606 y[1] (analytic) = -6.2480286610239505914137920944243 y[1] (numeric) = -6.2480286600737351565431636305569 absolute error = 9.502154348706284638674e-10 relative error = 1.5208243854548893202021498360141e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.618 Order of pole = 0.3238 x[1] = 0.607 y[1] (analytic) = -6.2467215601118317826216379228332 y[1] (numeric) = -6.246721559160650942416376446995 absolute error = 9.511808402052614758382e-10 relative error = 1.5226880709378584559533843266205e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.618 Order of pole = 0.3238 x[1] = 0.608 y[1] (analytic) = -6.2454145627815886344429907859387 y[1] (numeric) = -6.245414561829441937456943934422 absolute error = 9.521466969860468515167e-10 relative error = 1.5245532340802351103889112426708e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.618 Order of pole = 0.3238 x[1] = 0.609 y[1] (analytic) = -6.2441076690361191166951781169203 y[1] (numeric) = -6.2441076680830061113775986163831 absolute error = 9.531130053175795005372e-10 relative error = 1.5264198758838958239221083279589e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.617 Order of pole = 0.3238 x[1] = 0.61 y[1] (analytic) = -6.2428008788783225539814289352552 y[1] (numeric) = -6.2428008779242427886769105083854 absolute error = 9.540797653045184268698e-10 relative error = 1.5282879973515077812874396768700e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.617 Order of pole = 0.3238 x[1] = 0.611 y[1] (analytic) = -6.2414941923110996260049348386792 y[1] (numeric) = -6.2414941913560526489533480757431 absolute error = 9.550469770515867629361e-10 relative error = 1.5301575994865295185765562263020e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.617 Order of pole = 0.3238 x[1] = 0.612 y[1] (analytic) = -6.2401876093373523678831034273121 y[1] (numeric) = -6.2401876083813377272195316235615 absolute error = 9.560146406635718037506e-10 relative error = 1.5320286832932116309921992155118e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.617 Order of pole = 0.3238 x[1] = 0.613 y[1] (analytic) = -6.2388811299599841704620042624123 y[1] (numeric) = -6.2388811290030014142166792213231 absolute error = 9.569827562453250410892e-10 relative error = 1.5339012497765974813229337721449e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=484.4MB, alloc=4.6MB, time=53.93 Complex estimate of poles used Radius of convergence = 9.616 Order of pole = 0.3238 x[1] = 0.614 y[1] (analytic) = -6.2375747541818997806310074623102 y[1] (numeric) = -6.2375747532239484567292452646227 absolute error = 9.579513239017621976875e-10 relative error = 1.5357752999425239091438286293902e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.616 Order of pole = 0.3238 x[1] = 0.615 y[1] (analytic) = -6.2362684820060053016376150381458 y[1] (numeric) = -6.2362684810470849578997517766809 absolute error = 9.589203437378632614649e-10 relative error = 1.5376508347976219407374625777821e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.616 Order of pole = 0.3238 x[1] = 0.616 y[1] (analytic) = -6.2349623134352081934024850721276 y[1] (numeric) = -6.2349623124753183775438125523501 absolute error = 9.598898158586725197775e-10 relative error = 1.5395278553493174997408554772850e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.616 Order of pole = 0.3238 x[1] = 0.617 y[1] (analytic) = -6.2336562484724172728346488411084 y[1] (numeric) = -6.2336562475115575324653502474093 absolute error = 9.608597403692985936991e-10 relative error = 1.5414063626058321185179951464423e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.615 Order of pole = 0.3238 x[1] = 0.618 y[1] (analytic) = -6.2323502871205427141469209883575 y[1] (numeric) = -6.2323502861587125967720065160284 absolute error = 9.618301173749144723291e-10 relative error = 1.5432863575761836502568282558509e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.615 Order of pole = 0.3238 x[1] = 0.619 y[1] (analytic) = -6.2310444293824960491715028464941 y[1] (numeric) = -6.2310444284196951021907452993656 absolute error = 9.628009469807575471285e-10 relative error = 1.5451678412701869817934327643170e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.615 Order of pole = 0.3238 x[1] = 0.62 y[1] (analytic) = -6.2297386752611901676757790146311 y[1] (numeric) = -6.2297386742974179383836493683456 absolute error = 9.637722292921296462855e-10 relative error = 1.5470508146984547471665751813906e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.614 Order of pole = 0.3238 x[1] = 0.621 y[1] (analytic) = -6.2284330247595393176783072928556 y[1] (numeric) = -6.2284330237947953532639102237499 absolute error = 9.647439644143970691057e-10 relative error = 1.5489352788723980418954249262689e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.614 Order of pole = 0.3238 x[1] = 0.622 y[1] (analytic) = -6.2271274778804591057650020772679 y[1] (numeric) = -6.2271274769147429533120114568343 absolute error = 9.657161524529906204336e-10 relative error = 1.5508212348042271379919743142542e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.614 Order of pole = 0.3238 x[1] = 0.623 y[1] (analytic) = -6.225822034626866497405511318872 y[1] (numeric) = -6.2258220336601777038921056737725 absolute error = 9.666887935134056450995e-10 relative error = 1.5527086835069521996994934104400e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.614 Order of pole = 0.3238 x[1] = 0.624 y[1] (analytic) = -6.224516695001679817269787149705 y[1] (numeric) = -6.2245166940340179295685850873083 absolute error = 9.676618877012020623967e-10 relative error = 1.5545976259943839999656848103927e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=488.3MB, alloc=4.6MB, time=54.36 Complex estimate of poles used Radius of convergence = 9.613 Order of pole = 0.3238 x[1] = 0.625 y[1] (analytic) = -6.2232114590078187495448502796692 y[1] (numeric) = -6.2232114580391833144228458790844 absolute error = 9.686354351220044005848e-10 relative error = 1.5564880632811346376445948974546e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.613 Order of pole = 0.3238 x[1] = 0.626 y[1] (analytic) = -6.2219063266482043382517482676186 y[1] (numeric) = -6.2219063256785949023702464361976 absolute error = 9.696094358815018314210e-10 relative error = 1.5583799963826182554311318435383e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.613 Order of pole = 0.3238 x[1] = 0.627 y[1] (analytic) = -6.2206012979257589875627077703379 y[1] (numeric) = -6.2206012969551750974772595656157 absolute error = 9.705838900854482047222e-10 relative error = 1.5602734263150517585334935122636e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.613 Order of pole = 0.3238 x[1] = 0.628 y[1] (analytic) = -6.219296372843406462118480873127 y[1] (numeric) = -6.2192963718718476642788187901763 absolute error = 9.715587978396620829507e-10 relative error = 1.5621683540954555340727379581397e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.612 Order of pole = 0.3238 x[1] = 0.629 y[1] (analytic) = -6.2179915514040718873458856058034 y[1] (numeric) = -6.21799155043153772809585882997 absolute error = 9.725341592500267758334e-10 relative error = 1.5640647807416541712262116010921e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.612 Order of pole = 0.3238 x[1] = 0.63 y[1] (analytic) = -6.2166868336106817497755407479997 y[1] (numeric) = -6.2166868326371717753530503729967 absolute error = 9.735099744224903750030e-10 relative error = 1.5659627072722771820971543640707e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.612 Order of pole = 0.3238 x[1] = 0.631 y[1] (analytic) = -6.2153822194661638973597950277408 y[1] (numeric) = -6.2153822184916776538967292390672 absolute error = 9.744862434630657886736e-10 relative error = 1.5678621347067597233312239738991e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.612 Order of pole = 0.3238 x[1] = 0.632 y[1] (analytic) = -6.2140777089734475397908508173464 y[1] (numeric) = -6.2140777079979845733130200410069 absolute error = 9.754629664778307763395e-10 relative error = 1.5697630640653433184627378028270e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.611 Order of pole = 0.3238 x[1] = 0.633 y[1] (analytic) = -6.2127733021354632488190824308082 y[1] (numeric) = -6.2127733011590231052461544473032 absolute error = 9.764401435729279835050e-10 relative error = 1.5716654963690765810039835064294e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.611 Order of pole = 0.3238 x[1] = 0.634 y[1] (analytic) = -6.2114689989551429585715491268643 y[1] (numeric) = -6.2114689979777251837169841504229 absolute error = 9.774177748545649764414e-10 relative error = 1.5735694326398159382722966334376e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.611 Order of pole = 0.3239 x[1] = 0.635 y[1] (analytic) = -6.2101647994354199658707029220824 y[1] (numeric) = -6.2101647984570241054416886451103 absolute error = 9.783958604290142769721e-10 relative error = 1.5754748739002263559571623294412e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.61 Order of pole = 0.3239 memory used=492.1MB, alloc=4.6MB, time=54.79 x[1] = 0.636 y[1] (analytic) = -6.2088607035792289305532913183488 y[1] (numeric) = -6.2088607025998545301506779210613 absolute error = 9.793744004026133972875e-10 relative error = 1.5773818211737820634308901492469e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.61 Order of pole = 0.3239 x[1] = 0.637 y[1] (analytic) = -6.20755671138950587578945504924 y[1] (numeric) = -6.2075567104091524809076901744546 absolute error = 9.803533948817648747854e-10 relative error = 1.5792902754847672797967509360889e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.61 Order of pole = 0.3239 x[1] = 0.638 y[1] (analytic) = -6.2062528228691881884020209498485 y[1] (numeric) = -6.2062528218878553444290846429052 absolute error = 9.813328439729363069433e-10 relative error = 1.5812002378582769406856947478055e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.61 Order of pole = 0.3239 x[1] = 0.639 y[1] (analytic) = -6.2049490380212146191859900547049 y[1] (numeric) = -6.2049490370389018714033296684905 absolute error = 9.823127477826603862144e-10 relative error = 1.5831117093202174257892575144296e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.609 Order of pole = 0.3239 x[1] = 0.64 y[1] (analytic) = -6.2036453568485252832282210285426 y[1] (numeric) = -6.2036453558652321768106860935845 absolute error = 9.832931064175349349581e-10 relative error = 1.5850246908973072871468700450667e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.609 Order of pole = 0.3239 x[1] = 0.641 y[1] (analytic) = -6.2023417793540616602273090347136 y[1] (numeric) = -6.2023417783697877402430860943213 absolute error = 9.842739199842229403923e-10 relative error = 1.5869391836170779781679243304923e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.609 Order of pole = 0.3239 x[1] = 0.642 y[1] (analytic) = -6.2010383055407665948136601461722 y[1] (numeric) = -6.2010383045555114062242075565928 absolute error = 9.852551885894525895794e-10 relative error = 1.5888551885078745834085894385429e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.609 Order of pole = 0.3239 x[1] = 0.643 y[1] (analytic) = -6.1997349354115842968697614040099 y[1] (numeric) = -6.1997349344253473845297440995726 absolute error = 9.862369123400173044373e-10 relative error = 1.5907727065988565490901753157106e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.608 Order of pole = 0.3239 x[1] = 0.644 y[1] (analytic) = -6.1984316689694603418506466286239 y[1] (numeric) = -6.1984316679822412505078708518424 absolute error = 9.872190913427757767815e-10 relative error = 1.5926917389199984143696972198898e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.608 Order of pole = 0.3239 x[1] = 0.645 y[1] (analytic) = -6.1971285062173416711045580886757 y[1] (numeric) = -6.1971285052291399453999060852828 absolute error = 9.882017257046520033929e-10 relative error = 1.5946122865020905433547540644558e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.608 Order of pole = 0.3239 x[1] = 0.646 y[1] (analytic) = -6.1958254471581765921938041330928 y[1] (numeric) = -6.1958254461689917766611688119758 absolute error = 9.891848155326353211170e-10 relative error = 1.5965343503767398578727355837795e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.607 Order of pole = 0.3239 x[1] = 0.647 y[1] (analytic) = -6.1945224917949147792158128914421 y[1] (numeric) = -6.1945224908047464182820324494525 absolute error = 9.901683609337804419896e-10 relative error = 1.5984579315763705709872778049906e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=495.9MB, alloc=4.6MB, time=55.22 Complex estimate of poles used Radius of convergence = 9.607 Order of pole = 0.3239 x[1] = 0.648 y[1] (analytic) = -6.1932196401305072731243821480953 y[1] (numeric) = -6.1932196391393549111091746597043 absolute error = 9.911523620152074883910e-10 relative error = 1.6003830311342249212660152206985e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.607 Order of pole = 0.3239 x[1] = 0.649 y[1] (analytic) = -6.1919168921679064820511254956932 y[1] (numeric) = -6.1919168911757696631670234674622 absolute error = 9.921368188841020282310e-10 relative error = 1.6023096500843639078041689868854e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.607 Order of pole = 0.3239 x[1] = 0.65 y[1] (analytic) = -6.1906142479100661816271148734944 y[1] (numeric) = -6.1906142469169444499793997633347 absolute error = 9.931217316477151101597e-10 relative error = 1.6042377894616680259967256776318e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.606 Order of pole = 0.3239 x[1] = 0.651 y[1] (analytic) = -6.1893117073599415153047195962892 y[1] (numeric) = -6.1893117063658344148913562974795 absolute error = 9.941071004133632988097e-10 relative error = 1.6061674503018380040690748368705e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.606 Order of pole = 0.3239 x[1] = 0.652 y[1] (analytic) = -6.1880092705204889946796419796359 y[1] (numeric) = -6.1880092695253960693912132695723 absolute error = 9.950929252884287100636e-10 relative error = 1.6080986336413955403570822607423e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.606 Order of pole = 0.3239 x[1] = 0.653 y[1] (analytic) = -6.1867069373946664998131496672733 y[1] (numeric) = -6.1867069363985872934327906209199 absolute error = 9.960792063803590463534e-10 relative error = 1.6100313405176840413480882394949e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.606 Order of pole = 0.3239 x[1] = 0.654 y[1] (analytic) = -6.1854047079854332795545047666387 y[1] (numeric) = -6.1854047069883673357578371346517 absolute error = 9.970659437966676319870e-10 relative error = 1.6119655719688693604759084661895e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.605 Order of pole = 0.3239 x[1] = 0.655 y[1] (analytic) = -6.1841025822957499518635898985142 y[1] (numeric) = -6.1841025812976968142186564500105 absolute error = 9.980531376449334485037e-10 relative error = 1.6139013290339405376737374961762e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.605 Order of pole = 0.3239 x[1] = 0.656 y[1] (analytic) = -6.1828005603285785041337312669077 y[1] (numeric) = -6.1828005593295377161009300968489 absolute error = 9.990407880328011700588e-10 relative error = 1.6158386127527105396859495180163e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.605 Order of pole = 0.3239 x[1] = 0.657 y[1] (analytic) = -6.1814986420868822935147188553593 y[1] (numeric) = -6.1814986410868533984467376565235 absolute error = 1.0000288950679811988358e-09 relative error = 1.6177774241658170011372041101760e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.604 Order of pole = 0.3239 x[1] = 0.658 y[1] (analytic) = -6.1801968275736260472360238559569 y[1] (numeric) = -6.1801968265726085883777741554675 absolute error = 1.0010174588582497004894e-09 relative error = 1.6197177643147229663648665163474e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=499.7MB, alloc=4.6MB, time=55.64 Complex estimate of poles used Radius of convergence = 9.604 Order of pole = 0.3239 x[1] = 0.659 y[1] (analytic) = -6.178895116791775862930213437421 y[1] (numeric) = -6.1788951157897693834187647978057 absolute error = 1.0020064795114486396153e-09 relative error = 1.6216596342417176320091091384145e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.604 Order of pole = 0.3239 x[1] = 0.66 y[1] (analytic) = -6.1775935097442992089565629587162 y[1] (numeric) = -6.1775935087413032518210771434659 absolute error = 1.0029959571354858152503e-09 relative error = 1.6236030349899170903671917042484e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.604 Order of pole = 0.3239 x[1] = 0.661 y[1] (analytic) = -6.1762920064341649247248657347242 y[1] (numeric) = -6.1762920054301790328865308383238 absolute error = 1.0039858918383348964004e-09 relative error = 1.6255479676032650735090373794321e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.603 Order of pole = 0.3239 x[1] = 0.662 y[1] (analytic) = -6.1749906068643432210194404606067 y[1] (numeric) = -6.1749906058593669372914050030081 absolute error = 1.0049762837280354575986e-09 relative error = 1.6274944331265336981576945772854e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.603 Order of pole = 0.324 x[1] = 0.663 y[1] (analytic) = -6.1736893110378056803233364015682 y[1] (numeric) = -6.1736893100318385474106433870775 absolute error = 1.0059671329126930144907e-09 relative error = 1.6294424326053242113327726371310e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.603 Order of pole = 0.324 x[1] = 0.664 y[1] (analytic) = -6.1723881189575252571427364548202 y[1] (numeric) = -6.1723881179505668176422573953691 absolute error = 1.0069584395004790594511e-09 relative error = 1.6313919670860677367609303572045e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.603 Order of pole = 0.324 x[1] = 0.665 y[1] (analytic) = -6.1710870306264762783315581906288 y[1] (numeric) = -6.1710870296185260747319270934031 absolute error = 1.0079502035996310972257e-09 relative error = 1.6333430376160260220495625974549e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.602 Order of pole = 0.324 x[1] = 0.666 y[1] (analytic) = -6.1697860460476344434162529794252 y[1] (numeric) = -6.1697860450386920180978002988181 absolute error = 1.0089424253184526806071e-09 relative error = 1.6352956452432921866329517599985e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.602 Order of pole = 0.324 x[1] = 0.667 y[1] (analytic) = -6.1684851652239768249208033120313 y[1] (numeric) = -6.1684851642140417201554898658961 absolute error = 1.0099351047653134461352e-09 relative error = 1.6372497910167914704805503549559e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.602 Order of pole = 0.324 x[1] = 0.668 y[1] (analytic) = -6.1671843881584818686919184201537 y[1] (numeric) = -6.1671843871475536266432692703243 absolute error = 1.0109282420486491498294e-09 relative error = 1.6392054759862819835782844807682e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.601 Order of pole = 0.324 x[1] = 0.669 y[1] (analytic) = -6.1658837148541293942244283043768 y[1] (numeric) = -6.1658837138422075569474666014283 absolute error = 1.0119218372769617029485e-09 relative error = 1.6411627012023554561774055702870e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=503.5MB, alloc=4.6MB, time=56.06 Complex estimate of poles used Radius of convergence = 9.601 Order of pole = 0.324 x[1] = 0.67 y[1] (analytic) = -6.164583145313900594986876276978 y[1] (numeric) = -6.1645831443009847044280570691982 absolute error = 1.0129158905588192077798e-09 relative error = 1.6431214677164379898141678312542e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.601 Order of pole = 0.324 x[1] = 0.671 y[1] (analytic) = -6.1632826795407780387473101269754 y[1] (numeric) = -6.1632826785268676367444541335158 absolute error = 1.0139104020028559934596e-09 relative error = 1.6450817765807908091047497006136e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.601 Order of pole = 0.324 x[1] = 0.672 y[1] (analytic) = -6.1619823175377456678992720148987 y[1] (numeric) = -6.1619823165228402961814993630807 absolute error = 1.0149053717177726518180e-09 relative error = 1.6470436288485110143047521439220e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.6 Order of pole = 0.324 x[1] = 0.673 y[1] (analytic) = -6.160682059307788799787987204875 y[1] (numeric) = -6.1606820582918879999756511316169 absolute error = 1.0159007998123360732581e-09 relative error = 1.6490070255735323346505072028145e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.6 Order of pole = 0.324 x[1] = 0.674 y[1] (analytic) = -6.1593819048538941270367517416953 y[1] (numeric) = -6.1593819038369974406413722590333 absolute error = 1.0168966863953794826620e-09 relative error = 1.6509719678106258824707222465900e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.6 Order of pole = 0.324 x[1] = 0.675 y[1] (analytic) = -6.1580818541790497178735191806206 y[1] (numeric) = -6.1580818531611566862977167052962 absolute error = 1.0178930315758024753244e-09 relative error = 1.6529384566154009080706062084977e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.6 Order of pole = 0.324 x[1] = 0.676 y[1] (analytic) = -6.1567819072862450164576864777784 y[1] (numeric) = -6.1567819062673551809951154248596 absolute error = 1.0188898354625710529188e-09 relative error = 1.6549064930443055553974490562919e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.599 Order of pole = 0.324 x[1] = 0.677 y[1] (analytic) = -6.1554820641784708432070791490813 y[1] (numeric) = -6.1554820631585837450423614895897 absolute error = 1.0198870981647176594916e-09 relative error = 1.6568760781546276184808821881706e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.599 Order of pole = 0.324 x[1] = 0.678 y[1] (analytic) = -6.1541823248587193951251358056874 y[1] (numeric) = -6.1541823238378345753337945882043 absolute error = 1.0208848197913412174831e-09 relative error = 1.6588472130044952986470477669836e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.599 Order of pole = 0.324 x[1] = 0.679 y[1] (analytic) = -6.1528826893299842461282921741209 y[1] (numeric) = -6.1528826883081012456766850103379 absolute error = 1.0218830004516071637830e-09 relative error = 1.6608198986528779625198804849482e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.598 Order of pole = 0.3241 x[1] = 0.68 y[1] (analytic) = -6.151583157595260347373564709241 y[1] (numeric) = -6.1515831565723787071188172234311 absolute error = 1.0228816402547474858099e-09 relative error = 1.6627941361595869007933038408986e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=507.3MB, alloc=4.6MB, time=56.49 Complex estimate of poles used Radius of convergence = 9.598 Order of pole = 0.3241 x[1] = 0.681 y[1] (analytic) = -6.1502837296575440275863339083533 y[1] (numeric) = -6.1502837286336632882762731507299 absolute error = 1.0238807393100607576234e-09 relative error = 1.6647699265852760877891707010001e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.598 Order of pole = 0.3241 x[1] = 0.682 y[1] (analytic) = -6.1489844055198329933883274348356 y[1] (numeric) = -6.1489844044949526956614152587704 absolute error = 1.0248802977269121760652e-09 relative error = 1.6667472709914429417959619050155e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.598 Order of pole = 0.3241 x[1] = 0.683 y[1] (analytic) = -6.1476851851851263296258031597386 y[1] (numeric) = -6.1476851841592460140110695628106 absolute error = 1.0258803156147335969280e-09 relative error = 1.6687261704404290861871517482217e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.597 Order of pole = 0.3241 x[1] = 0.684 y[1] (analytic) = -6.146386068656424499697932229917 y[1] (numeric) = -6.1463860676295437066149086587612 absolute error = 1.0268807930830235711558e-09 relative error = 1.6707066259954211113259563830714e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.597 Order of pole = 0.3241 x[1] = 0.685 y[1] (analytic) = -6.1450870559367293458853822713276 y[1] (numeric) = -6.1450870549088476156440348902545 absolute error = 1.0278817302413473810731e-09 relative error = 1.6726886387204513372532655055407e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.597 Order of pole = 0.3241 x[1] = 0.686 y[1] (analytic) = -6.1437881470290440896791008362213 y[1] (numeric) = -6.1437881460001609624797637595791 absolute error = 1.0288831271993370766422e-09 relative error = 1.6746722096803985771583188908709e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.597 Order of pole = 0.3241 x[1] = 0.687 y[1] (analytic) = -6.1424893419363733321092992030498 y[1] (numeric) = -6.1424893409064883480426076912972 absolute error = 1.0298849840666915117526e-09 relative error = 1.6766573399409889016395026134655e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.596 Order of pole = 0.3241 x[1] = 0.688 y[1] (analytic) = -6.1411906406617230540746366379869 y[1] (numeric) = -6.1411906396308357531214602574493 absolute error = 1.0308873009531763805376e-09 relative error = 1.6786440305687964037481595490397e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.596 Order of pole = 0.3241 x[1] = 0.689 y[1] (analytic) = -6.1398920432081006166716052270625 y[1] (numeric) = -6.1398920421762105387029809733405 absolute error = 1.0318900779686242537220e-09 relative error = 1.6806322826312439648226288209819e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.596 Order of pole = 0.3241 x[1] = 0.69 y[1] (analytic) = -6.1385935495785147615241153879879 y[1] (numeric) = -6.13859354854562144630118077299 absolute error = 1.0328933152229346149979e-09 relative error = 1.6826220971966040211085002919791e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.595 Order of pole = 0.3241 x[1] = 0.691 y[1] (analytic) = -6.1372951597759756111132821708491 y[1] (numeric) = -6.1372951587420785982872082734163 absolute error = 1.0338970128260738974328e-09 relative error = 1.6846134753339993311727945474216e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.595 Order of pole = 0.3241 memory used=511.1MB, alloc=4.6MB, time=56.89 x[1] = 0.692 y[1] (analytic) = -6.1359968738034946691074124569207 y[1] (numeric) = -6.1359968727685934982193369370171 absolute error = 1.0349011708880755199036e-09 relative error = 1.6866064181134037441025163499853e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.595 Order of pole = 0.3242 x[1] = 0.693 y[1] (analytic) = -6.1346986916640848206921931649578 y[1] (numeric) = -6.1346986906281790311731532413944 absolute error = 1.0359057895190399235634e-09 relative error = 1.6886009266056429684996929148352e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.595 Order of pole = 0.3242 x[1] = 0.694 y[1] (analytic) = -6.1334006133607603329010805743987 y[1] (numeric) = -6.1334006123238494640719459660623 absolute error = 1.0369108688291346083364e-09 relative error = 1.6905970018823953422661156136412e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.594 Order of pole = 0.3242 x[1] = 0.695 y[1] (analytic) = -6.1321026388965368549458908750091 y[1] (numeric) = -6.1321026378586204460172967055648 absolute error = 1.0379164089285941694443e-09 relative error = 1.6925946450161926031842009873862e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.594 Order of pole = 0.3242 x[1] = 0.696 y[1] (analytic) = -6.1308047682744314185475920525801 y[1] (numeric) = -6.1308047672355090086198717186213 absolute error = 1.0389224099277203339588e-09 relative error = 1.6945938570804206602860436559367e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.594 Order of pole = 0.3242 x[1] = 0.697 y[1] (analytic) = -6.1295070014974624382672972203935 y[1] (numeric) = -6.1295070004575335663304152230047 absolute error = 1.0399288719368819973888e-09 relative error = 1.6965946391493203660255602036949e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.593 Order of pole = 0.3242 x[1] = 0.698 y[1] (analytic) = -6.1282093385686497118374595062402 y[1] (numeric) = -6.1282093375277139167709442459477 absolute error = 1.0409357950665152602925e-09 relative error = 1.6985969922979882892386228622943e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.593 Order of pole = 0.3242 x[1] = 0.699 y[1] (analytic) = -6.1269117794910144204932686048863 y[1] (numeric) = -6.1269117784490712410661451399627 absolute error = 1.0419431794271234649236e-09 relative error = 1.7006009176023774889070665341743e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.593 Order of pole = 0.3242 x[1] = 0.7 y[1] (analytic) = -6.125614324267579129304249105953 y[1] (numeric) = -6.125614323224628104174971874049 absolute error = 1.0429510251292772319040e-09 relative error = 1.7026064161392982887150533803888e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.593 Order of pole = 0.3242 x[1] = 0.701 y[1] (analytic) = -6.1243169729013677875060607072806 y[1] (numeric) = -6.124316971857408455222446210351 absolute error = 1.0439593322836144969296e-09 relative error = 1.7046134889864190524094455178044e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.592 Order of pole = 0.3242 x[1] = 0.702 y[1] (analytic) = -6.1230197253954057288325004239231 y[1] (numeric) = -6.1230197243504376278316598764218 absolute error = 1.0449681010008405475013e-09 relative error = 1.7066221372222669599521745754585e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.592 Order of pole = 0.3242 x[1] = 0.703 y[1] (analytic) = -6.1217225817527196718477069030268 y[1] (numeric) = -6.1217225807067423404559788433349 absolute error = 1.0459773313917280596919e-09 relative error = 1.7086323619262287844829596820198e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=515.0MB, alloc=4.6MB, time=57.32 Complex estimate of poles used Radius of convergence = 9.592 Order of pole = 0.3242 x[1] = 0.704 y[1] (analytic) = -6.1204255419763377202785669549157 y[1] (numeric) = -6.1204255409293506967114498199774 absolute error = 1.0469870235671171349383e-09 relative error = 1.7106441641785516700759546506468e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.592 Order of pole = 0.3243 x[1] = 0.705 y[1] (analytic) = -6.1191286060692893633473244108134 y[1] (numeric) = -6.1191286050212921857094090739478 absolute error = 1.0479971776379153368656e-09 relative error = 1.7126575450603439103019854394495e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.591 Order of pole = 0.3243 x[1] = 0.706 y[1] (analytic) = -6.1178317740346054761043914177117 y[1] (numeric) = -6.1178317729855976823892936895712 absolute error = 1.0490077937150977281405e-09 relative error = 1.7146725056535757275930203155449e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.591 Order of pole = 0.3243 x[1] = 0.707 y[1] (analytic) = -6.1165350458753183197613622809914 y[1] (numeric) = -6.1165350448252994478516553736357 absolute error = 1.0500188719097069073557e-09 relative error = 1.7166890470410800534125391568151e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.591 Order of pole = 0.3243 x[1] = 0.708 y[1] (analytic) = -6.1152384215944615420242299654862 y[1] (numeric) = -6.1152384205434311296913769195424 absolute error = 1.0510304123328530459438e-09 relative error = 1.7187071703065533092302412932646e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.59 Order of pole = 0.3243 x[1] = 0.709 y[1] (analytic) = -6.1139419011950701774268053657738 y[1] (numeric) = -6.1139419001430277623310914406528 absolute error = 1.0520424150957139251210e-09 relative error = 1.7207268765345561883024723093121e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.59 Order of pole = 0.3243 x[1] = 0.71 y[1] (analytic) = -6.1126454846801806476643394565695 y[1] (numeric) = -6.1126454836271257673548044837082 absolute error = 1.0530548803095349728613e-09 relative error = 1.7227481668105144382604065284340e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.59 Order of pole = 0.3243 x[1] = 0.711 y[1] (analytic) = -6.1113491720528307619273484341837 y[1] (numeric) = -6.1113491709987629538417191332836 absolute error = 1.0540678080856293009001e-09 relative error = 1.7247710422207196445050795938852e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.59 Order of pole = 0.3243 x[1] = 0.712 y[1] (analytic) = -6.1100529633160597172356419601023 y[1] (numeric) = -6.1100529622609785187002642183321 absolute error = 1.0550811985353777417702e-09 relative error = 1.7267955038523300144150738499302e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.589 Order of pole = 0.3243 x[1] = 0.713 y[1] (analytic) = -6.1087568584729080987725546178293 y[1] (numeric) = -6.1087568574168130470023257319647 absolute error = 1.0560950517702288858646e-09 relative error = 1.7288215527933711623585905017187e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.589 Order of pole = 0.3243 x[1] = 0.714 y[1] (analytic) = -6.1074608575264178802193806942321 y[1] (numeric) = -6.1074608564693085123176815757003 absolute error = 1.0571093679016991185318e-09 relative error = 1.7308491901327368955201300323160e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=518.8MB, alloc=4.6MB, time=57.73 Complex estimate of poles used Radius of convergence = 9.589 Order of pole = 0.3244 x[1] = 0.715 y[1] (analytic) = -6.106164960479632424090012396715 y[1] (numeric) = -6.1061649594215082770486397395133 absolute error = 1.0581241470413726572017e-09 relative error = 1.7328784169601900005395728481948e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.589 Order of pole = 0.3244 x[1] = 0.716 y[1] (analytic) = -6.1048691673355964820657816176361 y[1] (numeric) = -6.1048691662764570927648800290958 absolute error = 1.0591393893009015885403e-09 relative error = 1.7349092343663630309616117497684e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.588 Order of pole = 0.3244 x[1] = 0.717 y[1] (analytic) = -6.1035734780973561953305053574768 y[1] (numeric) = -6.1035734770372011005384994518421 absolute error = 1.0601550947920059056347e-09 relative error = 1.7369416434427590954988905853847e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.588 Order of pole = 0.3244 x[1] = 0.718 y[1] (analytic) = -6.1022778927679590949057349183639 y[1] (numeric) = -6.1022778917067878312792613731541 absolute error = 1.0611712636264735452098e-09 relative error = 1.7389756452817526471120448439708e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.588 Order of pole = 0.3244 x[1] = 0.719 y[1] (analytic) = -6.1009824113504541019862089796328 y[1] (numeric) = -6.1009824102882662060700485547588 absolute error = 1.0621878959161604248740e-09 relative error = 1.7410112409765902729031247119214e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.587 Order of pole = 0.3244 x[1] = 0.72 y[1] (analytic) = -6.099687033847891528275510667214 y[1] (numeric) = -6.0996870327846865365025201868172 absolute error = 1.0632049917729904803968e-09 relative error = 1.7430484316213914848280555085425e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.587 Order of pole = 0.3244 x[1] = 0.721 y[1] (analytic) = -6.098391760263323076321928728713 y[1] (numeric) = -6.0983917591991005250129730256981 absolute error = 1.0642225513089557030149e-09 relative error = 1.7450872183111495112234690012641e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.587 Order of pole = 0.3244 x[1] = 0.722 y[1] (analytic) = -6.0970965905998018398545229261487 y[1] (numeric) = -6.0970965895345612652184067493793 absolute error = 1.0652405746361161767694e-09 relative error = 1.7471276021417320891530714889566e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.587 Order of pole = 0.3244 x[1] = 0.723 y[1] (analytic) = -6.0958015248603823041193937584058 y[1] (numeric) = -6.0958015237941232422527936425312 absolute error = 1.0662590618666001158746e-09 relative error = 1.7491695842098822575752778975995e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.586 Order of pole = 0.3245 x[1] = 0.724 y[1] (analytic) = -6.0945065630481203462161566255453 y[1] (numeric) = -6.0945065619808423331035527234291 absolute error = 1.0672780131126039021162e-09 relative error = 1.7512131656132191513294134201057e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.586 Order of pole = 0.3245 x[1] = 0.725 y[1] (analytic) = -6.0932117051660732354346205472101 y[1] (numeric) = -6.0932117040977758069482284249309 absolute error = 1.0682974284863921222792e-09 relative error = 1.7532583474502387959418821373885e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=522.6MB, alloc=4.6MB, time=58.13 Complex estimate of poles used Radius of convergence = 9.586 Order of pole = 0.3245 x[1] = 0.726 y[1] (analytic) = -6.0919169512172996335916715474587 y[1] (numeric) = -6.0919169501479823254913739418501 absolute error = 1.0693173081002976056086e-09 relative error = 1.7553051308203149032583002590514e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.585 Order of pole = 0.3245 x[1] = 0.727 y[1] (analytic) = -6.0906223012048595953683608184427 y[1] (numeric) = -6.0906223001345219433016393571442 absolute error = 1.0703376520667214612985e-09 relative error = 1.7573535168236996678952873751485e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.585 Order of pole = 0.3245 x[1] = 0.728 y[1] (analytic) = -6.0893277551318145686471977754447 y[1] (numeric) = -6.0893277540604561081490646594314 absolute error = 1.0713584604981331160133e-09 relative error = 1.7594035065615245645188999091001e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.585 Order of pole = 0.3245 x[1] = 0.729 y[1] (analytic) = -6.0880333130012273948496481158765 y[1] (numeric) = -6.088033311928847661342577764439 absolute error = 1.0723797335070703514375e-09 relative error = 1.7614551011358011459448759288691e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.585 Order of pole = 0.3245 x[1] = 0.73 y[1] (analytic) = -6.0867389748161623092738369949399 y[1] (numeric) = -6.0867389737427608380676976530802 absolute error = 1.0734014712061393418597e-09 relative error = 1.7635083016494218420708023525941e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.584 Order of pole = 0.3245 x[1] = 0.731 y[1] (analytic) = -6.0854447405796849414324574307293 y[1] (numeric) = -6.0854447395052612677244427389469 absolute error = 1.0744236737080146917824e-09 relative error = 1.7655631092061607596273266392722e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.584 Order of pole = 0.3245 x[1] = 0.732 y[1] (analytic) = -6.0841506102948623153908840516655 y[1] (numeric) = -6.0841506092194159742654445780984 absolute error = 1.0754463411254394735671e-09 relative error = 1.7676195249106744827649334065549e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.584 Order of pole = 0.3246 x[1] = 0.733 y[1] (analytic) = -6.0828565839647628501054922992259 y[1] (numeric) = -6.082856582888293376534267034118 absolute error = 1.0764694735712252651079e-09 relative error = 1.7696775498685028744660374788213e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.584 Order of pole = 0.3246 x[1] = 0.734 y[1] (analytic) = -6.081562661592456359762183199037 y[1] (numeric) = -6.0815626605149632886039310115023 absolute error = 1.0774930711582521875347e-09 relative error = 1.7717371851860698787851170652334e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.583 Order of pole = 0.3246 x[1] = 0.735 y[1] (analytic) = -6.0802688431810140541151138134888 y[1] (numeric) = -6.0802688421024969201156448705387 absolute error = 1.0785171339994689429501e-09 relative error = 1.7737984319706843239245489592092e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.583 Order of pole = 0.3246 x[1] = 0.736 y[1] (analytic) = -6.0789751287335085388256334891149 y[1] (numeric) = -6.0789751276539668766177406369205 absolute error = 1.0795416622078928521944e-09 relative error = 1.7758612913305407261378636196775e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=526.4MB, alloc=4.6MB, time=58.53 Complex estimate of poles used Radius of convergence = 9.583 Order of pole = 0.3246 x[1] = 0.737 y[1] (analytic) = -6.0776815182530138158014260120845 y[1] (numeric) = -6.0776815171724471599048161194412 absolute error = 1.0805666558966098926433e-09 relative error = 1.7779257643747200944689061649209e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.582 Order of pole = 0.3246 x[1] = 0.738 y[1] (analytic) = -6.0763880117426052835358577852359 y[1] (numeric) = -6.0763880106610131683570830492003 absolute error = 1.0815921151787747360356e-09 relative error = 1.7799918522131907363233896067363e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.582 Order of pole = 0.3246 x[1] = 0.739 y[1] (analytic) = -6.0750946092053597374475321401799 y[1] (numeric) = -6.0750946081227416972799213538486 absolute error = 1.0826180401676107863313e-09 relative error = 1.7820595559568090638744230263358e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.582 Order of pole = 0.3246 x[1] = 0.74 y[1] (analytic) = -6.073801310644355370220049898092 y[1] (numeric) = -6.0738013095607109392436396804906 absolute error = 1.0836444309764102176014e-09 relative error = 1.7841288767173204013050814218853e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.582 Order of pole = 0.3247 x[1] = 0.741 y[1] (analytic) = -6.0725081160626717721419762929049 y[1] (numeric) = -6.0725081149780004844234422809564 absolute error = 1.0846712877185340119485e-09 relative error = 1.7861998156073597928874658546987e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.581 Order of pole = 0.3247 x[1] = 0.742 y[1] (analytic) = -6.0712150254633899314470143707058 y[1] (numeric) = -6.071215024377691320939602373247 absolute error = 1.0856986105074119974588e-09 relative error = 1.7882723737404528119001718127726e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.581 Order of pole = 0.3247 x[1] = 0.743 y[1] (analytic) = -6.0699220388495922346543849792336 y[1] (numeric) = -6.0699220377628658351978420930509 absolute error = 1.0867263994565428861827e-09 relative error = 1.7903465522310163703804851449387e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.581 Order of pole = 0.3247 x[1] = 0.744 y[1] (analytic) = -6.0686291562243624669094134614726 y[1] (numeric) = -6.0686291551366078122299191493219 absolute error = 1.0877546546794943121507e-09 relative error = 1.7924223521943595297232724775333e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.58 Order of pole = 0.3247 x[1] = 0.745 y[1] (analytic) = -6.0673363775907858123243231674174 y[1] (numeric) = -6.0673363765020024360344202980017 absolute error = 1.0887833762899028694157e-09 relative error = 1.7944997747466843121128415332436e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.58 Order of pole = 0.3247 x[1] = 0.746 y[1] (analytic) = -6.0660437029519488543192358981931 y[1] (numeric) = -6.0660437018621362899177617480636 absolute error = 1.0898125644014741501295e-09 relative error = 1.7965788210050865128015532243473e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.58 Order of pole = 0.3247 x[1] = 0.747 y[1] (analytic) = -6.0647511323109395759633793967964 y[1] (numeric) = -6.0647511312200973568353966141472 absolute error = 1.0908422191279827826492e-09 relative error = 1.7986594920875565132290390936455e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.58 Order of pole = 0.3247 memory used=530.2MB, alloc=4.6MB, time=58.96 x[1] = 0.748 y[1] (analytic) = -6.0634586656708473603165019998224 y[1] (numeric) = -6.0634586645789750197332295301473 absolute error = 1.0918723405832724696751e-09 relative error = 1.8007417891129800949855971656283e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.579 Order of pole = 0.3248 x[1] = 0.749 y[1] (analytic) = -6.0621663030347629907704945646312 y[1] (numeric) = -6.0621663019418600618892385382123 absolute error = 1.0929029288812560264189e-09 relative error = 1.8028257132011392546187261064165e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.579 Order of pole = 0.3248 x[1] = 0.75 y[1] (analytic) = -6.0608740444057786513912197865079 y[1] (numeric) = -6.0608740433118446672553043677037 absolute error = 1.0939339841359154188042e-09 relative error = 1.8049112654727130192870351347265e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.579 Order of pole = 0.3248 x[1] = 0.751 y[1] (analytic) = -6.0595818897869879272605490204567 y[1] (numeric) = -6.0595818886920224207992472187584 absolute error = 1.0949655064613018016983e-09 relative error = 1.8069984470492782632608230698679e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.579 Order of pole = 0.3248 x[1] = 0.752 y[1] (analytic) = -6.0582898391814858048186067223643 y[1] (numeric) = -6.0582898380854883088470711651915 absolute error = 1.0959974959715355571728e-09 relative error = 1.8090872590533105252661423003363e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.578 Order of pole = 0.3248 x[1] = 0.753 y[1] (analytic) = -6.0569978925923686722062226243702 y[1] (numeric) = -6.0569978914953387194254162915708 absolute error = 1.0970299527808063327994e-09 relative error = 1.8111777026081848266838513205238e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.578 Order of pole = 0.3248 x[1] = 0.754 y[1] (analytic) = -6.0557060500227343196075917593586 y[1] (numeric) = -6.055706048924671442604218679386 absolute error = 1.0980628770033730799726e-09 relative error = 1.8132697788381764905909040401934e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.578 Order of pole = 0.3248 x[1] = 0.755 y[1] (analytic) = -6.0544143114756819395931424496008 y[1] (numeric) = -6.0544143103765856708395783573323 absolute error = 1.0990962687535640922685e-09 relative error = 1.8153634888684619616600063813219e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.577 Order of pole = 0.3249 x[1] = 0.756 y[1] (analytic) = -6.0531226769543121274626123746494 y[1] (numeric) = -6.05312267585418199931683533082 absolute error = 1.1001301281457770438294e-09 relative error = 1.8174588338251196269015829865000e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.577 Order of pole = 0.3249 x[1] = 0.757 y[1] (analytic) = -6.0518311464617268815883328337022 y[1] (numeric) = -6.0518311453605624262938538059164 absolute error = 1.1011644552944790277858e-09 relative error = 1.8195558148351306372681563863655e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.577 Order of pole = 0.3249 x[1] = 0.758 y[1] (analytic) = -6.0505397200010296037587213177243 y[1] (numeric) = -6.0505397188988303534445147230204 absolute error = 1.1021992503142065947039e-09 relative error = 1.8216544330263797301024353391877e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.577 Order of pole = 0.3249 x[1] = 0.759 y[1] (analytic) = -6.0492483975753250995219825067335 y[1] (numeric) = -6.0492483964720905862024167156642 absolute error = 1.1032345133195657910693e-09 relative error = 1.8237546895276560524477366694388e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=534.0MB, alloc=4.6MB, time=59.38 Complex estimate of poles used Radius of convergence = 9.576 Order of pole = 0.3249 x[1] = 0.76 y[1] (analytic) = -6.0479571791877195785300178077302 y[1] (numeric) = -6.0479571780834493341047856099314 absolute error = 1.1042702444252321977988e-09 relative error = 1.8258565854686539852083114156931e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.576 Order of pole = 0.3249 x[1] = 0.761 y[1] (analytic) = -6.0466660648413206548825435488598 y[1] (numeric) = -6.0466660637360142111365925800739 absolute error = 1.1053064437459509687859e-09 relative error = 1.8279601219799739681697815209413e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.576 Order of pole = 0.3249 x[1] = 0.762 y[1] (analytic) = -6.0453750545392373474714179454821 y[1] (numeric) = -6.0453750534328942360748810760057 absolute error = 1.1063431113965368694764e-09 relative error = 1.8300653001931233258746920363026e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.575 Order of pole = 0.325 x[1] = 0.763 y[1] (analytic) = -6.0440841482845800803251769539221 y[1] (numeric) = -6.0440841471771998328333026384458 absolute error = 1.1073802474918743154763e-09 relative error = 1.8321721212405170943577709759908e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.575 Order of pole = 0.325 x[1] = 0.764 y[1] (analytic) = -6.0427933460804606829537791287668 y[1] (numeric) = -6.042793344972042830806861717576 absolute error = 1.1084178521469174111908e-09 relative error = 1.8342805862554788487398698155185e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.575 Order of pole = 0.325 x[1] = 0.765 y[1] (analytic) = -6.0415026479299923906935595996706 y[1] (numeric) = -6.0415026468205364652168696111764 absolute error = 1.1094559254766899884942e-09 relative error = 1.8363906963722415316812106284723e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.575 Order of pole = 0.325 x[1] = 0.766 y[1] (analytic) = -6.040212053836289845052393283727 y[1] (numeric) = -6.0402120527257953774561076382928 absolute error = 1.1104944675962856454342e-09 relative error = 1.8385024527259482827006920815705e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.574 Order of pole = 0.325 x[1] = 0.767 y[1] (analytic) = -6.0389215638024690940550674495532 y[1] (numeric) = -6.0389215626909356154341996645891 absolute error = 1.1115334786208677849641e-09 relative error = 1.8406158564526532683514583441573e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.574 Order of pole = 0.325 x[1] = 0.768 y[1] (analytic) = -6.0376311778316475925888637493371 y[1] (numeric) = -6.0376311767190746339231940956287 absolute error = 1.1125729586656696537084e-09 relative error = 1.8427309086893225132627931015176e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.574 Order of pole = 0.325 x[1] = 0.769 y[1] (analytic) = -6.0363408959269442027493498351879 y[1] (numeric) = -6.0363408948133312949033554544266 absolute error = 1.1136129078459943807613e-09 relative error = 1.8448476105738347320484778136923e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.573 Order of pole = 0.3251 x[1] = 0.77 y[1] (analytic) = -6.0350507180914791941863806762231 y[1] (numeric) = -6.0350507169768258679091656597082 absolute error = 1.1146533262772150165149e-09 relative error = 1.8469659632449821620772792720179e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=537.8MB, alloc=4.6MB, time=59.79 Complex estimate of poles used Radius of convergence = 9.573 Order of pole = 0.3251 x[1] = 0.771 y[1] (analytic) = -6.0337606443283742444503096929259 y[1] (numeric) = -6.0337606432126800303755351214058 absolute error = 1.1156942140747745715201e-09 relative error = 1.8490859678424713971114991431054e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.573 Order of pole = 0.3251 x[1] = 0.772 y[1] (analytic) = -6.0324706746407524393384098253969 y[1] (numeric) = -6.0324706735240168679842237700188 absolute error = 1.1167355713541860553781e-09 relative error = 1.8512076255069242218110736304535e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.573 Order of pole = 0.3251 x[1] = 0.773 y[1] (analytic) = -6.0311808090317382732415046522266 y[1] (numeric) = -6.0311808079139608750104721365596 absolute error = 1.1177773982310325156670e-09 relative error = 1.8533309373798784471116497528380e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.572 Order of pole = 0.3251 x[1] = 0.774 y[1] (analytic) = -6.0298910475044576494908096767983 y[1] (numeric) = -6.0298910463856379546698425999025 absolute error = 1.1188196948209670768958e-09 relative error = 1.8554559046037887464648461565501e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.572 Order of pole = 0.3251 x[1] = 0.775 y[1] (analytic) = -6.0286013900620378807049838979405 y[1] (numeric) = -6.0286013889421754194652709184479 absolute error = 1.1198624612397129794926e-09 relative error = 1.8575825283220274929529377435705e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.572 Order of pole = 0.3252 x[1] = 0.776 y[1] (analytic) = -6.027311836707607689137391781935 y[1] (numeric) = -6.0273118355867019915343281631095 absolute error = 1.1209056976030636188255e-09 relative error = 1.8597108096788855972764532351616e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.571 Order of pole = 0.3252 x[1] = 0.777 y[1] (analytic) = -6.0260223874442972070235757529827 y[1] (numeric) = -6.0260223863223478029966931687297 absolute error = 1.1219494040268825842530e-09 relative error = 1.8618407498195733466103506380084e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.571 Order of pole = 0.3252 x[1] = 0.778 y[1] (analytic) = -6.0247330422752379769289393193303 y[1] (numeric) = -6.0247330411522443963018356211211 absolute error = 1.1229935806271036982092e-09 relative error = 1.8639723498902212443385361997519e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.571 Order of pole = 0.3252 x[1] = 0.779 y[1] (analytic) = -6.0234438012035629520966409523486 y[1] (numeric) = -6.0234438000795247245769098970308 absolute error = 1.1240382275197310553178e-09 relative error = 1.8661056110378808506577486646633e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.571 Order of pole = 0.3252 x[1] = 0.78 y[1] (analytic) = -6.0221546642324064967956988359584 y[1] (numeric) = -6.0221546631073231519748597744182 absolute error = 1.1250833448208390615402e-09 relative error = 1.8682405344105256240605788426282e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.57 Order of pole = 0.3252 x[1] = 0.781 y[1] (analytic) = -6.0208656313649043866693066038899 y[1] (numeric) = -6.0208656302387754540227341305336 absolute error = 1.1261289326465724733563e-09 relative error = 1.8703771211570517636962828040969e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=541.7MB, alloc=4.6MB, time=60.21 Complex estimate of poles used Radius of convergence = 9.57 Order of pole = 0.3253 x[1] = 0.782 y[1] (analytic) = -6.019576702604193809083360182356 y[1] (numeric) = -6.0195767014770188179702137453816 absolute error = 1.1271749911131464369744e-09 relative error = 1.8725153724272790526043895022689e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.57 Order of pole = 0.3253 x[1] = 0.783 y[1] (analytic) = -6.0182878779534133634751958558227 y[1] (numeric) = -6.0182878768251918431383493282475 absolute error = 1.1282215203368465275752e-09 relative error = 1.8746552893719517018303843668857e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.57 Order of pole = 0.3253 x[1] = 0.784 y[1] (analytic) = -6.0169991574157030617025396736538 y[1] (numeric) = -6.0169991562864345412685108850644 absolute error = 1.1292685204340287885894e-09 relative error = 1.8767968731427391954236250799205e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.569 Order of pole = 0.3253 x[1] = 0.785 y[1] (analytic) = -6.0157105409942043283926683154946 y[1] (numeric) = -6.0157105398638883368715485444912 absolute error = 1.1303159915211197710034e-09 relative error = 1.8789401248922371363093339680074e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.569 Order of pole = 0.3253 x[1] = 0.786 y[1] (analytic) = -6.0144220286920600012917815333715 y[1] (numeric) = -6.0144220275606960675771649606715 absolute error = 1.1313639337146165727000e-09 relative error = 1.8810850457739680930471141052913e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.569 Order of pole = 0.3253 x[1] = 0.787 y[1] (analytic) = -6.0131336205124143316145862885698 y[1] (numeric) = -6.0131336193800019844834994107377 absolute error = 1.1324123471310868778321e-09 relative error = 1.8832316369423824474736561517431e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.568 Order of pole = 0.3254 x[1] = 0.788 y[1] (analytic) = -6.0118453164584129843940927014468 y[1] (numeric) = -6.0118453153249517525069237052219 absolute error = 1.1334612318871689962249e-09 relative error = 1.8853798995528592432231400197779e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.568 Order of pole = 0.3254 x[1] = 0.789 y[1] (analytic) = -6.0105571165332030388316219324463 y[1] (numeric) = -6.0105571153986924507320500296322 absolute error = 1.1345105880995719028141e-09 relative error = 1.8875298347617070351387887209062e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.568 Order of pole = 0.3254 x[1] = 0.79 y[1] (analytic) = -6.0092690207399329886470261126639 y[1] (numeric) = -6.0092690196043725727619508355492 absolute error = 1.1355604158850752771147e-09 relative error = 1.8896814437261647395675875119607e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.568 Order of pole = 0.3254 x[1] = 0.791 y[1] (analytic) = -6.0079810290817527424291204424168 y[1] (numeric) = -6.0079810279451420270685908996948 absolute error = 1.1366107153605295427220e-09 relative error = 1.8918347276044024855418184527437e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.567 Order of pole = 0.3254 x[1] = 0.792 y[1] (analytic) = -6.0066931415618136239863275763668 y[1] (numeric) = -6.0066931404241521373434716695215 absolute error = 1.1376614866428559068453e-09 relative error = 1.8939896875555224668492349825951e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. memory used=545.5MB, alloc=4.6MB, time=60.62 Complex estimate of poles used Radius of convergence = 9.567 Order of pole = 0.3254 x[1] = 0.793 y[1] (analytic) = -6.0054053581832683726975344138423 y[1] (numeric) = -6.0054053570445556428484880139688 absolute error = 1.1387127298490463998735e-09 relative error = 1.8961463247395597949915390602662e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.567 Order of pole = 0.3255 x[1] = 0.794 y[1] (analytic) = -6.0041176789492711438631614131034 y[1] (numeric) = -6.0041176778095066987669974981289 absolute error = 1.1397644450961639149745e-09 relative error = 1.8983046403174833530353192685614e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.566 Order of pole = 0.3255 x[1] = 0.795 y[1] (analytic) = -6.0028301038629775090564445483862 y[1] (numeric) = -6.002830102722160876555102300662 absolute error = 1.1408166325013422477242e-09 relative error = 1.9004646354511966503494530695600e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.566 Order of pole = 0.3255 x[1] = 0.796 y[1] (analytic) = -6.0015426329275444564749300286693 y[1] (numeric) = -6.0015426317856751642931438928985 absolute error = 1.1418692921817861357708e-09 relative error = 1.9026263113035386782394613834084e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.566 Order of pole = 0.3255 x[1] = 0.797 y[1] (analytic) = -6.0002552661461303912921818971935 y[1] (numeric) = -6.0002552650032079670374105986625 absolute error = 1.1429224242547712985310e-09 relative error = 1.9047896690382847664741551670265e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.566 Order of pole = 0.3255 x[1] = 0.798 y[1] (analytic) = -5.9989680035218951360097026308654 y[1] (numeric) = -5.9989680023779191071720581539492 absolute error = 1.1439760288376444769162e-09 relative error = 1.9069547098201474407024056164595e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.565 Order of pole = 0.3255 x[1] = 0.799 y[1] (analytic) = -5.9976808450579999308090668587799 y[1] (numeric) = -5.9976808439129698247612433856848 absolute error = 1.1450301060478234730951e-09 relative error = 1.9091214348147772807717040956444e-08 % Correct digits = 9 h = 0.001 TOP MAIN SOLVE Loop WARNING: arccos of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 9.565 Order of pole = 0.3256 x[1] = 0.8 y[1] (analytic) = -5.9963937907576074339042683191831 y[1] (numeric) = -5.9963937896115227779014711288974 absolute error = 1.1460846560027971902857e-09 relative error = 1.9112898451887637799378506821610e-08 % Correct digits = 9 h = 0.001 Finished! diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; Iterations = 1600 Total Elapsed Time = 1 Minutes 0 Seconds Elapsed Time(since restart) = 1 Minutes 0 Seconds Time to Timeout = 1 Minutes 59 Seconds Percent Done = 100.1 % > quit memory used=548.0MB, alloc=4.6MB, time=60.88