|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > # Begin Function number 3 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 1 > ret := 1.0; > else > ret := -1.0; > fi;# end if 1; > ret;; > end; check_sign := proc(x0, xf) local ret; if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret end proc > # End Function number 3 > # Begin Function number 4 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_y_higher[1,m]/array_y_higher[1,m-1]; > rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2]; > hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 1 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 1 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]); > rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]); > rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]); > rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]); > rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (omniabs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2; > #BOTTOM RADII COMPLEX EQ = 1 > found_sing := 0; > #TOP WHICH RADII EQ = 1 > if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found_sing := 1; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found_sing := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing ) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > #BOTTOM WHICH RADII EQ = 1 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if (array_pole[1] > array_poles[1,1]) then # if number 2 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 2; > #BOTTOM WHICH RADIUS EQ = 1 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_y[term] := array_y[term]* ratio; > array_y_higher[1,term] := array_y_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > ratio := ratio * h_new / omniabs(glob_h); > term := term + 1; > od;# end do number 2; > glob_h := h_new; > fi;# end if 2; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 2 > display_pole(); > fi;# end if 2 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_y_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_y_higher[1, m]) or glob_large_float <= omniabs(array_y_higher[1, m - 1]) or glob_large_float <= omniabs(array_y_higher[1, m - 2]) or glob_large_float <= omniabs(array_y_higher[1, m - 3]) or glob_large_float <= omniabs(array_y_higher[1, m - 4]) or glob_large_float <= omniabs(array_y_higher[1, m - 5]) or omniabs(array_y_higher[1, m]) <= glob_small_float or omniabs(array_y_higher[1, m - 1]) <= glob_small_float or omniabs(array_y_higher[1, m - 2]) <= glob_small_float or omniabs(array_y_higher[1, m - 3]) <= glob_small_float or omniabs(array_y_higher[1, m - 4]) <= glob_small_float or omniabs(array_y_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3]; rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4]; rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h) else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; found_sing := 0; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found_sing := 1; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found_sing := 1; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found_sing := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then h_new := array_pole[1]*glob_ratio_of_radius; term := 1; ratio := 1.0; while term <= glob_max_terms do array_y[term] := array_y[term]*ratio; array_y_higher[1, term] := array_y_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > 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 add CONST CONST $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D0[1] + array_const_1D0[1]; > #emit pre sin 1 $eq_no = 1 > array_tmp2[1] := sin(array_x[1]); > array_tmp2_g[1] := cos(array_x[1]); > #emit pre sub CONST FULL $eq_no = 1 i = 1 > array_tmp3[1] := array_tmp1[1] - array_tmp2[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_tmp3[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre sin ID_LINEAR iii = 2 $eq_no = 1 > array_tmp2[2] := array_tmp2_g[1] * array_x[2] / 1; > array_tmp2_g[2] := -array_tmp2[1] * array_x[2] / 1; > #emit pre sub CONST FULL $eq_no = 1 i = 2 > array_tmp3[2] := array_tmp1[2] - array_tmp2[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_tmp3[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre sin ID_LINEAR iii = 3 $eq_no = 1 > array_tmp2[3] := array_tmp2_g[2] * array_x[2] / 2; > array_tmp2_g[3] := -array_tmp2[2] * array_x[2] / 2; > #emit pre sub CONST FULL $eq_no = 1 i = 3 > array_tmp3[3] := array_tmp1[3] - array_tmp2[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_tmp3[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre sin ID_LINEAR iii = 4 $eq_no = 1 > array_tmp2[4] := array_tmp2_g[3] * array_x[2] / 3; > array_tmp2_g[4] := -array_tmp2[3] * array_x[2] / 3; > #emit pre sub CONST FULL $eq_no = 1 i = 4 > array_tmp3[4] := array_tmp1[4] - array_tmp2[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_tmp3[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre sin ID_LINEAR iii = 5 $eq_no = 1 > array_tmp2[5] := array_tmp2_g[4] * array_x[2] / 4; > array_tmp2_g[5] := -array_tmp2[4] * array_x[2] / 4; > #emit pre sub CONST FULL $eq_no = 1 i = 5 > array_tmp3[5] := array_tmp1[5] - array_tmp2[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_tmp3[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit sin LINEAR $eq_no = 1 > array_tmp2[kkk] := array_tmp2_g[kkk - 1] * array_x[2] / (kkk - 1); > array_tmp2_g[kkk] := -array_tmp2[kkk - 1] * array_x[2] / (kkk - 1); > #emit NOT FULL - FULL sub $eq_no = 1 > array_tmp3[kkk] := - array_tmp2[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_tmp3[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_y_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, 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_0D0[1] + array_const_1D0[1]; array_tmp2[1] := sin(array_x[1]); array_tmp2_g[1] := cos(array_x[1]); array_tmp3[1] := array_tmp1[1] - array_tmp2[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp3[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp2[2] := array_tmp2_g[1]*array_x[2]; array_tmp2_g[2] := -array_tmp2[1]*array_x[2]; array_tmp3[2] := array_tmp1[2] - array_tmp2[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp3[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp2[3] := 1/2*array_tmp2_g[2]*array_x[2]; array_tmp2_g[3] := -1/2*array_tmp2[2]*array_x[2]; array_tmp3[3] := array_tmp1[3] - array_tmp2[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp3[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp2[4] := 1/3*array_tmp2_g[3]*array_x[2]; array_tmp2_g[4] := -1/3*array_tmp2[3]*array_x[2]; array_tmp3[4] := array_tmp1[4] - array_tmp2[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp3[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp2[5] := 1/4*array_tmp2_g[4]*array_x[2]; array_tmp2_g[5] := -1/4*array_tmp2[4]*array_x[2]; array_tmp3[5] := array_tmp1[5] - array_tmp2[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp3[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp2[kkk] := array_tmp2_g[kkk - 1]*array_x[2]/(kkk - 1); array_tmp2_g[kkk] := -array_tmp2[kkk - 1]*array_x[2]/(kkk - 1); array_tmp3[kkk] := -array_tmp2[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_tmp3[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 1; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary end if; array_y_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi;# end if 0; > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " Unknown") end if; fprintf(fd, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # End Function number 14 > # Begin Function number 15 > display_pole_debug := proc(typ,radius,order2) > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if (typ = 1) then # if number 6 > omniout_str(ALWAYS,"Real"); > else > omniout_str(ALWAYS,"Complex"); > fi;# end if 6; > omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," "); > omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," "); > end; display_pole_debug := proc(typ, radius, order2) global ALWAYS, glob_display_flag, glob_large_float, array_pole; if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex") end if; omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "); omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ") end proc > # End Function number 15 > # Begin Function number 16 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 6 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # End Function number 16 > # Begin Function number 17 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 20 > # Begin Function number 21 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 21 > # Begin Function number 22 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 8 > fprintf(file,""); > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 24 > # Begin Function number 25 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 25 > # Begin Function number 26 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 8; > if (glob_max_iter < 2) then # if number 8 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 8; > if (errflag) then # if number 8 > quit; > fi;# end if 8 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > # End Function number 26 > # Begin Function number 27 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 8 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 9 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 9 > fi;# end if 8; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 27 > # Begin Function number 28 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 8 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 8; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 28 > # Begin Function number 29 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 29 > # Begin Function number 30 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 8 > if (array_fact_1[nnn] = 0) then # if number 9 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 9; > else > ret := factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8 > if (array_fact_2[mmm,nnn] = 0) then # if number 9 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 9; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 31 > # Begin Function number 32 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 33 > # Begin Function number 34 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 34 > # Begin Function number 35 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 35 > # Begin Function number 36 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 36 > # Begin Function number 37 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 37 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(2.0 + cos(x) + x); > end; exact_soln_y := proc(x) return 2.0 + cos(x) + x end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #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_g, > array_tmp2, > array_tmp3, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_total_exp_sec := 0.1; > glob_optimal_expect_sec := 0.1; > glob_html_log := true; > glob_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_sec_in_minute := 60; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_almost_1 := 0.9990; > glob_clock_sec := 0.0; > glob_clock_start_sec := 0.0; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_disp_incr := 0.1; > glob_h := 0.1; > glob_max_h := 0.1; > glob_large_float := 9.0e100; > glob_last_good_h := 0.1; > glob_look_poles := false; > glob_neg_h := false; > glob_display_interval := 0.0; > glob_next_display := 0.0; > glob_dump_analytic := false; > glob_abserr := 0.1e-10; > glob_relerr := 0.1e-10; > glob_max_hours := 0.0; > glob_max_iter := 1000; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_trunc_err := 0.1e-10; > glob_no_eqs := 0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_start := 0.0; > glob_small_float := 0.1e-200; > glob_smallish_float := 0.1e-100; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_max_sec := 10000.0; > glob_orig_start_sec := 0.0; > glob_start := 0; > glob_curr_iter_when_opt := 0; > glob_current_iter := 0; > glob_iter := 0; > glob_normmax := 0.0; > glob_max_minutes := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/sub_c_sinpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = 1.0 - sin(x);"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 0.1;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"return(2.0 + cos(x) + x);"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=32; > max_terms:=30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2_g:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= 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_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_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_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1D0[1] := 1.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_look_poles := true; > glob_max_iter := 1000000; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > glob_subiter_method:=3; > #END OVERRIDE BLOCK > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_terms := max_terms; > glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(x_start,x_end); > glob_h := check_sign(x_start,x_end); > if (glob_display_interval < glob_h) then # if number 2 > glob_h := glob_display_interval; > fi;# end if 2; > if (glob_max_h < glob_h) then # if number 2 > glob_h := glob_max_h; > fi;# end if 2; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > atomall(); > est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2 > best_h := glob_h; > found_h := 1.0; > fi;# end if 2; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 2 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 2; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 2 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 3 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 3; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > display_alot(current_iter); > if (glob_look_poles) then # if number 3 > #left paren 0004C > check_for_pole(); > fi;# end if 3;#was right paren 0004C > if (reached_interval()) then # if number 3 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 3; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 3 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 3; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 3; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = 1.0 - sin(x);"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 3 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-28T19:42:03-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sub_c_sin") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = 1.0 - sin(x);") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 4; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 4 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 4; > log_revs(html_log_file," 165 ") > ; > logitem_str(html_log_file,"sub_c_sin diffeq.mxt") > ; > logitem_str(html_log_file,"sub_c_sin maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > ; > fi;# end if 3; > if (glob_html_log) then # if number 3 > fclose(html_log_file); > fi;# end if 3 > ; > ;; > fi;# end if 2 > #END OUTFILEMAIN > end; main := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_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_g, array_tmp2, array_tmp3, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_total_exp_sec := 0.1; glob_optimal_expect_sec := 0.1; glob_html_log := true; glob_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_almost_1 := 0.9990; glob_clock_sec := 0.; glob_clock_start_sec := 0.; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_disp_incr := 0.1; glob_h := 0.1; glob_max_h := 0.1; glob_large_float := 0.90*10^101; glob_last_good_h := 0.1; glob_look_poles := false; glob_neg_h := false; glob_display_interval := 0.; glob_next_display := 0.; glob_dump_analytic := false; glob_abserr := 0.1*10^(-10); glob_relerr := 0.1*10^(-10); glob_max_hours := 0.; glob_max_iter := 1000; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_trunc_err := 0.1*10^(-10); glob_no_eqs := 0; glob_optimal_clock_start_sec := 0.; glob_optimal_start := 0.; glob_small_float := 0.1*10^(-200); glob_smallish_float := 0.1*10^(-100); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_max_sec := 10000.0; glob_orig_start_sec := 0.; glob_start := 0; glob_curr_iter_when_opt := 0; glob_current_iter := 0; glob_iter := 0; glob_normmax := 0.; glob_max_minutes := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/sub_c_sinpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = 1.0 - sin(x);"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 0.1;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "return(2.0 + cos(x) + x);"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2_g := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := 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_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_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_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2_g[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_subiter_method := 3; glob_last_good_h := glob_h; glob_max_terms := max_terms; glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes) + convfloat(3600.0)*convfloat(glob_max_hours); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(x_start, x_end); glob_h := check_sign(x_start, x_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_max_h < glob_h then glob_h := glob_max_h end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); est_needed_step_err := estimated_needed_step_error(x_start, x_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do if reached_interval() then omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop") end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); display_alot(current_iter); if glob_look_poles then check_for_pole() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = 1.0 - sin(x);"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T19:42:03-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sub_c_sin"); logitem_str(html_log_file, "diff ( y , x , 1 ) = 1.0 - sin(x);") ; logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 165 "); logitem_str(html_log_file, "sub_c_sin diffeq.mxt"); logitem_str(html_log_file, "sub_c_sin maple results"); logitem_str(html_log_file, "All Tests - All Languages"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc > # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/sub_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 - sin(x); ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_look_poles := true; glob_max_iter := 1000000; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(2.0 + cos(x) + x); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 4.9 estimated_steps = 4900 step_error = 2.0408163265306122448979591836735e-14 est_needed_step_err = 2.0408163265306122448979591836735e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.4672040251049429538467757202074e-105 max_value3 = 2.4672040251049429538467757202074e-105 value3 = 2.4672040251049429538467757202074e-105 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 3.0950041652780257660955619878039 y[1] (numeric) = 3.0950041652780257660955619878039 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 3.095903834375976659378402999829 y[1] (numeric) = 3.095903834375976659378402999829 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 3.0968025085701760853346856764599 y[1] (numeric) = 3.0968025085701760853346856764599 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 3.0977001879619498413211671928266 y[1] (numeric) = 3.0977001879619498413211671928267 absolute error = 1e-31 relative error = 3.2282013730254625837569419386002e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 3.0985968726536185270373744944846 y[1] (numeric) = 3.0985968726536185270373744944847 absolute error = 1e-31 relative error = 3.2272671828510767236031799918595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 3.0994925627484974422050131246041 y[1] (numeric) = 3.0994925627484974422050131246041 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 3.1003872583508964832526761118722 y[1] (numeric) = 3.1003872583508964832526761118723 absolute error = 1e-31 relative error = 3.2254035275964281637154236722186e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 3.1012809595661200390059562343918 y[1] (numeric) = 3.1012809595661200390059562343919 absolute error = 1e-31 relative error = 3.2244740577774142328642067021098e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 3.1021736665004668853830659694533 y[1] (numeric) = 3.1021736665004668853830659694534 absolute error = 1e-31 relative error = 3.2235461566795215955127790870163e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 3.1030653792612300790960704335539 y[1] (numeric) = 3.103065379261230079096070433554 absolute error = 1e-31 relative error = 3.2226198219454772141997523056920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 3.1039560979566968503578396114198 y[1] (numeric) = 3.1039560979566968503578396114199 absolute error = 1e-31 relative error = 3.2216950512228248477322727786089e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 3.104845822696148494594827167072 y[1] (numeric) = 3.104845822696148494594827167072 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 3.1057345535898602631657841241467 y[1] (numeric) = 3.1057345535898602631657841241467 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 3.1066222907491012530865166967484 y[1] (numeric) = 3.1066222907491012530865166967485 absolute error = 1e-31 relative error = 3.2189300996706282657679721597338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 3.1075090342861342957607985460685 y[1] (numeric) = 3.1075090342861342957607985460686 absolute error = 1e-31 relative error = 3.2180115615648493487473910325388e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 3.1083947843142158447175487318465 y[1] (numeric) = 3.1083947843142158447175487318466 absolute error = 1e-31 relative error = 3.2170945757799656346145297117920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.9MB, time=0.15 x[1] = 0.116 y[1] (analytic) = 3.109279540947595862354387621489 y[1] (numeric) = 3.1092795409475958623543876214891 absolute error = 1e-31 relative error = 3.2161791399921417018532060758686e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 3.110163304301517705687684013279 y[1] (numeric) = 3.1101633043015177056876840132791 absolute error = 1e-31 relative error = 3.2152652518822659860162525142847e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 3.11104607449221801110920772362 y[1] (numeric) = 3.1110460744922180111092077236201 absolute error = 1e-31 relative error = 3.2143529091359376646962551124034e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 3.1119278516369265781495028816522 y[1] (numeric) = 3.1119278516369265781495028816522 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 3.1128086358538662522480981678576 y[1] (numeric) = 3.1128086358538662522480981678577 absolute error = 1e-31 relative error = 3.2125328504997952162002531895393e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 3.1136884272622528065306712264356 y[1] (numeric) = 3.1136884272622528065306712264357 absolute error = 1e-31 relative error = 3.2116251300046156789508013605282e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 3.114567225982294822593285474272 y[1] (numeric) = 3.1145672259822948225932854742721 absolute error = 1e-31 relative error = 3.2107189456622267650279477834330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 3.1154450321351935702938185222573 y[1] (numeric) = 3.1154450321351935702938185222575 absolute error = 2e-31 relative error = 6.4196285903631720666829371894114e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 3.116321845843142886550702417515 y[1] (numeric) = 3.1163218458431428865507024175152 absolute error = 2e-31 relative error = 6.4178223525525678610705911161026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 3.1171976672293290531490969077882 y[1] (numeric) = 3.1171976672293290531490969077884 absolute error = 2e-31 relative error = 6.4160191733290619064209619006394e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 3.1180724964179306735546179218037 y[1] (numeric) = 3.1180724964179306735546179218039 absolute error = 2e-31 relative error = 6.4142190481382896983434038638306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 3.1189463335341185487347444518721 y[1] (numeric) = 3.1189463335341185487347444518723 absolute error = 2e-31 relative error = 6.4124219724350757151063137152953e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 3.1198191787040555519880280173089 y[1] (numeric) = 3.1198191787040555519880280173091 absolute error = 2e-31 relative error = 6.4106279416834079753606195427468e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 3.1206910320548965027812298794554 y[1] (numeric) = 3.1206910320548965027812298794556 absolute error = 2e-31 relative error = 6.4088369513564126730490805826187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 3.1215618937147880395945121711518 y[1] (numeric) = 3.121561893714788039594512171152 absolute error = 2e-31 relative error = 6.4070489969363288892167084945809e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 3.1224317638128684917748100954616 y[1] (numeric) = 3.1224317638128684917748100954618 absolute error = 2e-31 relative error = 6.4052640739144833804388115824236e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 3.123300642479267750397513340263 y[1] (numeric) = 3.1233006424792677503975133402633 absolute error = 3e-31 relative error = 9.6052232666868981653765228461437e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 3.1241685298451071381365858470171 y[1] (numeric) = 3.1241685298451071381365858470173 absolute error = 2e-31 relative error = 6.4017033040761018566334581234125e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 3.1250354260424992781432540635797 y[1] (numeric) = 3.1250354260424992781432540635799 absolute error = 2e-31 relative error = 6.3999274482874318952692046040167e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 3.1259013312045479619333948023605 y[1] (numeric) = 3.1259013312045479619333948023607 absolute error = 2e-31 relative error = 6.3981546059526824249647488612934e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 3.126766245465348016283754816428 y[1] (numeric) = 3.1267662454653480162837548164282 absolute error = 2e-31 relative error = 6.3963847726082430682883164986873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 3.1276301689599851691371351973316 y[1] (numeric) = 3.1276301689599851691371351973318 absolute error = 2e-31 relative error = 6.3946179437994414471494935096397e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 3.1284931018245359145166746894438 y[1] (numeric) = 3.1284931018245359145166746894441 absolute error = 3e-31 relative error = 9.5892811726207777495672976301112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 3.1293550441960673764493670065295 y[1] (numeric) = 3.1293550441960673764493670065297 absolute error = 2e-31 relative error = 6.3910932820146038716954937404052e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 3.1302159962126371718989482270114 y[1] (numeric) = 3.1302159962126371718989482270116 absolute error = 2e-31 relative error = 6.3893354401736913818032079183781e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 3.1310759580132932727082913350357 y[1] (numeric) = 3.1310759580132932727082913350359 absolute error = 2e-31 relative error = 6.3875805851386145609871420623778e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 3.1319349297380738665514459649294 y[1] (numeric) = 3.1319349297380738665514459649296 absolute error = 2e-31 relative error = 6.3858287124990222652964335068389e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 3.1327929115280072168954623969991 y[1] (numeric) = 3.1327929115280072168954623969993 absolute error = 2e-31 relative error = 6.3840798178533543620294408444270e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.1MB, time=0.32 x[1] = 0.144 y[1] (analytic) = 3.1336499035251115219721398428361 y[1] (numeric) = 3.1336499035251115219721398428362 absolute error = 1e-31 relative error = 3.1911669484044087444621511905391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 3.134505905872394772759840048366 y[1] (numeric) = 3.1345059058723947727598400483661 absolute error = 1e-31 relative error = 3.1902954724906804430600510534475e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 3.1353609187138546099755082328197 y[1] (numeric) = 3.1353609187138546099755082328198 absolute error = 1e-31 relative error = 3.1894254789978261503111771226372e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 3.1362149421944781800770443715908 y[1] (numeric) = 3.136214942194478180077044371591 absolute error = 2e-31 relative error = 6.3771139314850539630076226046685e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 3.1370679764602419902761688205978 y[1] (numeric) = 3.137067976460241990276168820598 absolute error = 2e-31 relative error = 6.3753798610915986361031910053638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 3.1379200216581117625619272692718 y[1] (numeric) = 3.137920021658111762561927269272 absolute error = 2e-31 relative error = 6.3736487424659657353787960141597e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 3.1387710779360422867349809986543 y[1] (numeric) = 3.1387710779360422867349809986545 absolute error = 2e-31 relative error = 6.3719205712674575207885231191766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 3.1396211454429772724528294103012 y[1] (numeric) = 3.1396211454429772724528294103014 absolute error = 2e-31 relative error = 6.3701953431639753598020523414749e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.152 y[1] (analytic) = 3.1404702243288492002861127807586 y[1] (numeric) = 3.1404702243288492002861127807588 absolute error = 2e-31 relative error = 6.3684730538319960613655191357734e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 3.1413183147445791717861441852958 y[1] (numeric) = 3.141318314744579171786144185296 absolute error = 2e-31 relative error = 6.3667536989565482805333313052508e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.154 y[1] (analytic) = 3.1421654168420767585638205233501 y[1] (numeric) = 3.1421654168420767585638205233503 absolute error = 2e-31 relative error = 6.3650372742311889935133525709829e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.155 y[1] (analytic) = 3.1430115307742398503800635667605 y[1] (numeric) = 3.1430115307742398503800635667606 absolute error = 1e-31 relative error = 3.1816618876789900214344642103161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.156 y[1] (analytic) = 3.1438566566949545022479429403361 y[1] (numeric) = 3.1438566566949545022479429403362 absolute error = 1e-31 relative error = 3.1808065990237323763111449695297e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.157 y[1] (analytic) = 3.1447007947590947805466339326243 y[1] (numeric) = 3.1447007947590947805466339326245 absolute error = 2e-31 relative error = 6.3599055380186446130049265209130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.158 y[1] (analytic) = 3.1455439451225226081473640229073 y[1] (numeric) = 3.1455439451225226081473640229074 absolute error = 1e-31 relative error = 3.1791003954994780173007843535865e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.159 y[1] (analytic) = 3.1463861079420876085515029984672 y[1] (numeric) = 3.1463861079420876085515029984673 absolute error = 1e-31 relative error = 3.1782494763621235858177339495690e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 3.1472272833756269490409525240183 y[1] (numeric) = 3.1472272833756269490409525240185 absolute error = 2e-31 relative error = 6.3548000189387548141437004093540e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.161 y[1] (analytic) = 3.1480674715819651828409920129024 y[1] (numeric) = 3.1480674715819651828409920129025 absolute error = 1e-31 relative error = 3.1765519926975406743961296171485e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 3.1489066727209140902957386371875 y[1] (numeric) = 3.1489066727209140902957386371876 absolute error = 1e-31 relative error = 3.1757054239270858940408640514210e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.163 y[1] (analytic) = 3.1497448869532725190563803011996 y[1] (numeric) = 3.1497448869532725190563803011997 absolute error = 1e-31 relative error = 3.1748603010426454338476793960934e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 3.1505821144408262232823413902376 y[1] (numeric) = 3.1505821144408262232823413902377 absolute error = 1e-31 relative error = 3.1740166219330001058711972166666e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.165 y[1] (analytic) = 3.1514183553463477018555420932949 y[1] (numeric) = 3.1514183553463477018555420932951 absolute error = 2e-31 relative error = 6.3463487689821355656504985756396e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 3.1522536098335960356079130855139 y[1] (numeric) = 3.1522536098335960356079130855141 absolute error = 2e-31 relative error = 6.3446671732277840964621621684746e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.167 y[1] (analytic) = 3.1530878780673167235623283428443 y[1] (numeric) = 3.1530878780673167235623283428445 absolute error = 2e-31 relative error = 6.3429884524052617602909683715509e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 3.153921160213241518187119847961 y[1] (numeric) = 3.1539211602132415181871198479612 absolute error = 2e-31 relative error = 6.3413126023250907366945982479154e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.169 y[1] (analytic) = 3.1547534564380882596643389329105 y[1] (numeric) = 3.1547534564380882596643389329106 absolute error = 1e-31 relative error = 3.1698198094029884648612294742612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 3.1555847669095607091719299902125 y[1] (numeric) = 3.1555847669095607091719299902126 absolute error = 1e-31 relative error = 3.1689847488373937676984049941661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.171 y[1] (analytic) = 3.1564150917963483811799832702289 y[1] (numeric) = 3.156415091796348381179983270229 absolute error = 1e-31 relative error = 3.1681511173832643376936263322081e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 3.1572444312681263747612344685321 y[1] (numeric) = 3.1572444312681263747612344685322 absolute error = 1e-31 relative error = 3.1673189129621615483197162999339e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.1MB, time=0.50 x[1] = 0.173 y[1] (analytic) = 3.1580727854955552039159797927608 y[1] (numeric) = 3.1580727854955552039159797927609 absolute error = 1e-31 relative error = 3.1664881334996939683598929182910e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.174 y[1] (analytic) = 3.1589001546502806269115761840325 y[1] (numeric) = 3.1589001546502806269115761840326 absolute error = 1e-31 relative error = 3.1656587769255062773195674341022e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.175 y[1] (analytic) = 3.1597265389049334746366973533995 y[1] (numeric) = 3.1597265389049334746366973533996 absolute error = 1e-31 relative error = 3.1648308411732682134594562623280e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.176 y[1] (analytic) = 3.1605519384331294779705172790773 y[1] (numeric) = 3.1605519384331294779705172790774 absolute error = 1e-31 relative error = 3.1640043241806635543323793571863e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 3.1613763534094690941669937952475 y[1] (numeric) = 3.1613763534094690941669937952476 absolute error = 1e-31 relative error = 3.1631792238893791297065988612116e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.178 y[1] (analytic) = 3.1621997840095373322544258881378 y[1] (numeric) = 3.1621997840095373322544258881379 absolute error = 1e-31 relative error = 3.1623555382450938667590310372357e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 3.1630222304099035774504592998064 y[1] (numeric) = 3.1630222304099035774504592998065 absolute error = 1e-31 relative error = 3.1615332651974678674221414652674e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 3.1638436927881214145927160246115 y[1] (numeric) = 3.1638436927881214145927160246116 absolute error = 1e-31 relative error = 3.1607124027001315177688082954641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 3.1646641713227284505852242677207 y[1] (numeric) = 3.1646641713227284505852242677208 absolute error = 1e-31 relative error = 3.1598929487106746293199110008947e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.182 y[1] (analytic) = 3.165483666193246135860826419216 y[1] (numeric) = 3.1654836661932461358608264192161 absolute error = 1e-31 relative error = 3.1590749011906356121598725805997e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 3.1663021775801795848597435813723 y[1] (numeric) = 3.1663021775801795848597435813724 absolute error = 1e-31 relative error = 3.1582582581054906797458515355046e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.184 y[1] (analytic) = 3.1671197056650173955244761705281 y[1] (numeric) = 3.1671197056650173955244761705282 absolute error = 1e-31 relative error = 3.1574430174246430852967461879284e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.185 y[1] (analytic) = 3.1679362506302314678112210986348 y[1] (numeric) = 3.1679362506302314678112210986349 absolute error = 1e-31 relative error = 3.1566291771214123896486380505645e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.186 y[1] (analytic) = 3.1687518126592768212179870230509 y[1] (numeric) = 3.168751812659276821217987023051 absolute error = 1e-31 relative error = 3.1558167351730237604637629836721e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.187 y[1] (analytic) = 3.1695663919365914113295901364508 y[1] (numeric) = 3.169566391936591411329590136451 absolute error = 2e-31 relative error = 6.3100113791211946053611176409993e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 3.1703799886475959453797139518383 y[1] (numeric) = 3.1703799886475959453797139518385 absolute error = 2e-31 relative error = 6.3083920765382748401855920026305e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.189 y[1] (analytic) = 3.1711926029786936968302175205875 y[1] (numeric) = 3.1711926029786936968302175205877 absolute error = 2e-31 relative error = 6.3067755585750444158925070928581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 3.1720042351172703189678775041899 y[1] (numeric) = 3.1720042351172703189678775041901 absolute error = 2e-31 relative error = 6.3051618212169857528837128575665e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.191 y[1] (analytic) = 3.1728148852516936575187505029481 y[1] (numeric) = 3.1728148852516936575187505029483 absolute error = 2e-31 relative error = 6.3035508604572864100692841750621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.192 y[1] (analytic) = 3.1736245535713135622803430272392 y[1] (numeric) = 3.1736245535713135622803430272394 absolute error = 2e-31 relative error = 6.3019426722968180548367469318560e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.193 y[1] (analytic) = 3.1744332402664616977717774791618 y[1] (numeric) = 3.174433240266461697771777479162 absolute error = 2e-31 relative error = 6.3003372527441154941721271403606e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 3.1752409455284513529021434943852 y[1] (numeric) = 3.1752409455284513529021434943854 absolute error = 2e-31 relative error = 6.2987345978153557667142442818432e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.195 y[1] (analytic) = 3.1760476695495772496572249758333 y[1] (numeric) = 3.1760476695495772496572249758336 absolute error = 3e-31 relative error = 9.4457020553015059432868358478996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 3.1768534125231153508047941324606 y[1] (numeric) = 3.1768534125231153508047941324609 absolute error = 3e-31 relative error = 9.4433063488986886520336314562785e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.197 y[1] (analytic) = 3.177658174643322666618664817809 y[1] (numeric) = 3.1776581746433226666186648178093 absolute error = 3e-31 relative error = 9.4409147715730501143047372248946e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.198 y[1] (analytic) = 3.1784619561054370606216984442784 y[1] (numeric) = 3.1784619561054370606216984442787 absolute error = 3e-31 relative error = 9.4385273173943974753858372499647e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.199 y[1] (analytic) = 3.1792647571056770543479567300861 y[1] (numeric) = 3.1792647571056770543479567300864 absolute error = 3e-31 relative error = 9.4361439804438457780644315687254e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 3.1800665778412416311241965167482 y[1] (numeric) = 3.1800665778412416311241965167485 absolute error = 3e-31 relative error = 9.4337647548137871422993462318180e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.201 y[1] (analytic) = 3.180867418510310038870902875571 y[1] (numeric) = 3.1808674185103100388709028755713 absolute error = 3e-31 relative error = 9.4313896346078600340319599191556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.2MB, time=0.68 x[1] = 0.202 y[1] (analytic) = 3.1816672793120415919230577021024 y[1] (numeric) = 3.1816672793120415919230577021028 absolute error = 4e-31 relative error = 1.2572024818587891497095678439760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.203 y[1] (analytic) = 3.1824661604465754718708419777594 y[1] (numeric) = 3.1824661604465754718708419777597 absolute error = 3e-31 relative error = 9.4266516869390022279901152297130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.204 y[1] (analytic) = 3.183264062115030527420470857911 y[1] (numeric) = 3.1832640621150305274204708579113 absolute error = 3e-31 relative error = 9.4242888477393048529574629385995e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 3.1840609845195050732753617255673 y[1] (numeric) = 3.1840609845195050732753617255676 absolute error = 3e-31 relative error = 9.4219300904901448074603152098823e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.206 y[1] (analytic) = 3.1848569278630766880378363294873 y[1] (numeric) = 3.1848569278630766880378363294876 absolute error = 3e-31 relative error = 9.4195754093509344173358369308506e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 3.1856518923498020111315591049884 y[1] (numeric) = 3.1856518923498020111315591049887 absolute error = 3e-31 relative error = 9.4172247984921498215629438769639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.208 y[1] (analytic) = 3.1864458781847165387449147550011 y[1] (numeric) = 3.1864458781847165387449147550014 absolute error = 3e-31 relative error = 9.4148782520953008562501569195773e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.209 y[1] (analytic) = 3.1872388855738344187955291479752 y[1] (numeric) = 3.1872388855738344187955291479756 absolute error = 4e-31 relative error = 1.2550047685803868033682251521039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = 3.1880309147241482449161385680994 y[1] (numeric) = 3.1880309147241482449161385680997 absolute error = 3e-31 relative error = 9.4101973294684375571744837799890e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 3.1888219658436288494620133319462 y[1] (numeric) = 3.1888219658436288494620133319466 absolute error = 4e-31 relative error = 1.2543817255541788731013564470319e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.212 y[1] (analytic) = 3.189612039141225095540142764105 y[1] (numeric) = 3.1896120391412250955401427641054 absolute error = 4e-31 relative error = 1.2540710126855944254916180227499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 3.1904011348268636680603895025966 y[1] (numeric) = 3.190401134826863668060389502597 absolute error = 4e-31 relative error = 1.2537608378882022785518774507355e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.214 y[1] (analytic) = 3.1911892531114488638088220829006 y[1] (numeric) = 3.1911892531114488638088220829009 absolute error = 3e-31 relative error = 9.4008840029621026550478115584901e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.215 y[1] (analytic) = 3.1919763942068623805434357272442 y[1] (numeric) = 3.1919763942068623805434357272446 absolute error = 4e-31 relative error = 1.2531420994402166127518667155973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.216 y[1] (analytic) = 3.1927625583259631051124722434151 y[1] (numeric) = 3.1927625583259631051124722434155 absolute error = 4e-31 relative error = 1.2528335342598384639988095786397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 3.1935477456825869005955509147589 y[1] (numeric) = 3.1935477456825869005955509147593 absolute error = 4e-31 relative error = 1.2525255040910755189744604034774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.218 y[1] (analytic) = 3.194331956491546392467823240215 y[1] (numeric) = 3.1943319564915463924678232402155 absolute error = 5e-31 relative error = 1.5652725102157779447686120046527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.219 y[1] (analytic) = 3.1951151909686307537873653602166 y[1] (numeric) = 3.1951151909686307537873653602171 absolute error = 5e-31 relative error = 1.5648888071807516195079957390598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 3.1958974493306054894060229810447 y[1] (numeric) = 3.1958974493306054894060229810452 absolute error = 5e-31 relative error = 1.5645057700606981535878863022397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.221 y[1] (analytic) = 3.1966787317952122192039245867742 y[1] (numeric) = 3.1966787317952122192039245867747 absolute error = 5e-31 relative error = 1.5641233979093252713982981333748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 3.1974590385811684603478797042797 y[1] (numeric) = 3.1974590385811684603478797042802 absolute error = 5e-31 relative error = 1.5637416897821108693019444066221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.223 y[1] (analytic) = 3.198238369908167408573879962885 y[1] (numeric) = 3.1982383699081674085738799628855 absolute error = 5e-31 relative error = 1.5633606447362982076097548889430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.224 y[1] (analytic) = 3.1990167259968777184939216661375 y[1] (numeric) = 3.199016725996877718493921666138 absolute error = 5e-31 relative error = 1.5629802618308911162491621381140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.225 y[1] (analytic) = 3.1997941070689432829273695688655 y[1] (numeric) = 3.199794107068943282927369568866 absolute error = 5e-31 relative error = 1.5626005401266492140769443320662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.226 y[1] (analytic) = 3.2005705133469830112570825281373 y[1] (numeric) = 3.2005705133469830112570825281378 absolute error = 5e-31 relative error = 1.5622214786860831417886060804356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.227 y[1] (analytic) = 3.2013459450545906068105226719777 y[1] (numeric) = 3.2013459450545906068105226719782 absolute error = 5e-31 relative error = 1.5618430765734498083764707746435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 3.2021204024163343432660707047136 y[1] (numeric) = 3.2021204024163343432660707047141 absolute error = 5e-31 relative error = 1.5614653328547476510888493882294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.229 y[1] (analytic) = 3.2028938856577568400847709426156 y[1] (numeric) = 3.2028938856577568400847709426162 absolute error = 6e-31 relative error = 1.8733058959172542906114093785304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 3.2036663950053748369677306480716 y[1] (numeric) = 3.2036663950053748369677306480722 absolute error = 6e-31 relative error = 1.8728541802461718908522134049683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.2MB, time=0.86 x[1] = 0.231 y[1] (analytic) = 3.2044379306866789673393992048733 y[1] (numeric) = 3.2044379306866789673393992048739 absolute error = 6e-31 relative error = 1.8724032512978836413148547636880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.232 y[1] (analytic) = 3.2052084929301335308569536513194 y[1] (numeric) = 3.20520849293013353085695365132 absolute error = 6e-31 relative error = 1.8719531079598904438740077293110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.233 y[1] (analytic) = 3.2059780819651762649460180617296 y[1] (numeric) = 3.2059780819651762649460180617302 absolute error = 6e-31 relative error = 1.8715037491217548351011932691592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.234 y[1] (analytic) = 3.206746698022218115362945240631 y[1] (numeric) = 3.2067466980222181153629452406316 absolute error = 6e-31 relative error = 1.8710551736750953942358596568052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 3.2075143413326430057838901673172 y[1] (numeric) = 3.2075143413326430057838901673178 absolute error = 6e-31 relative error = 1.8706073805135811669639650053288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.236 y[1] (analytic) = 3.2082810121288076064209056016861 y[1] (numeric) = 3.2082810121288076064209056016867 absolute error = 6e-31 relative error = 1.8701603685329261049487005102407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 3.2090467106440411016652912352422 y[1] (numeric) = 3.2090467106440411016652912352428 absolute error = 6e-31 relative error = 1.8697141366308835210582138640749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.238 y[1] (analytic) = 3.2098114371126449567584287438953 y[1] (numeric) = 3.2098114371126449567584287438959 absolute error = 6e-31 relative error = 1.8692686837072405602354120063608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 3.2105751917698926834903360717 y[1] (numeric) = 3.2105751917698926834903360717007 absolute error = 7e-31 relative error = 2.1802946767744481336143312937004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = 3.2113379748520296049261752469634 y[1] (numeric) = 3.2113379748520296049261752469641 absolute error = 7e-31 relative error = 2.1797767954718445459166360502552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 3.2120997865962726191609490041922 y[1] (numeric) = 3.2120997865962726191609490041929 absolute error = 7e-31 relative error = 2.1792598191408014495003917951697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.242 y[1] (analytic) = 3.2128606272408099621026224571645 y[1] (numeric) = 3.2128606272408099621026224571652 absolute error = 7e-31 relative error = 2.1787437465071642527157416302009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.243 y[1] (analytic) = 3.2136204970248009692839070399837 y[1] (numeric) = 3.2136204970248009692839070399844 absolute error = 7e-31 relative error = 2.1782285762991191862521522194627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.244 y[1] (analytic) = 3.2143793961883758367029449043108 y[1] (numeric) = 3.2143793961883758367029449043115 absolute error = 7e-31 relative error = 2.1777143072471869606497244740039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.245 y[1] (analytic) = 3.2151373249726353806931329320715 y[1] (numeric) = 3.2151373249726353806931329320722 absolute error = 7e-31 relative error = 2.1772009380842164416181596352185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.246 y[1] (analytic) = 3.2158942836196507968223264937931 y[1] (numeric) = 3.2158942836196507968223264937938 absolute error = 7e-31 relative error = 2.1766884675453783431013169122822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.247 y[1] (analytic) = 3.2166502723724634178216640533481 y[1] (numeric) = 3.2166502723724634178216640533489 absolute error = 8e-31 relative error = 2.4870593078493245006006230955156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.248 y[1] (analytic) = 3.2174052914750844705442546902599 y[1] (numeric) = 3.2174052914750844705442546902607 absolute error = 8e-31 relative error = 2.4864756769055471847659620282176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.249 y[1] (analytic) = 3.2181593411724948319539715808613 y[1] (numeric) = 3.2181593411724948319539715808621 absolute error = 8e-31 relative error = 2.4858930686400702658275826930613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 3.2189124217106447841445954494942 y[1] (numeric) = 3.218912421710644784144595449495 absolute error = 8e-31 relative error = 2.4853114816179170469619777949262e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.251 y[1] (analytic) = 3.2196645333364537683895529705847 y[1] (numeric) = 3.2196645333364537683895529705855 absolute error = 8e-31 relative error = 2.4847309144067286343008072504755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 3.2204156762978101382224960718362 y[1] (numeric) = 3.220415676297810138222496071837 absolute error = 8e-31 relative error = 2.4841513655767568492148849148924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.253 y[1] (analytic) = 3.2211658508435709115489690579392 y[1] (numeric) = 3.22116585084357091154896905794 absolute error = 8e-31 relative error = 2.4835728337008571603901462524473e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 3.2219150572235615217894114431114 y[1] (numeric) = 3.2219150572235615217894114431123 absolute error = 9e-31 relative error = 2.7933697320237918400802459941276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.255 y[1] (analytic) = 3.2226632956885755680537453494437 y[1] (numeric) = 3.2226632956885755680537453494445 absolute error = 8e-31 relative error = 2.4824188151156719132938213949894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 3.2234105664903745643477972964435 y[1] (numeric) = 3.2234105664903745643477972964443 absolute error = 8e-31 relative error = 2.4818433255650521933688260666363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.257 y[1] (analytic) = 3.224156869881687687811805175334 y[1] (numeric) = 3.2241568698816876878118051753349 absolute error = 9e-31 relative error = 2.7914274531965500289982130504949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 3.2249022061162115259912621695806 y[1] (numeric) = 3.2249022061162115259912621695815 absolute error = 9e-31 relative error = 2.7907823012217192579468928315081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.259 y[1] (analytic) = 3.2256465754486098231403503507787 y[1] (numeric) = 3.2256465754486098231403503507796 absolute error = 9e-31 relative error = 2.7901382837480626835228099768205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.3MB, time=1.04 x[1] = 0.26 y[1] (analytic) = 3.2263899781345132255582176464501 y[1] (numeric) = 3.226389978134513225558217646451 absolute error = 9e-31 relative error = 2.7894953991903256451830886985686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.261 y[1] (analytic) = 3.2271324144305190259583528434479 y[1] (numeric) = 3.2271324144305190259583528434489 absolute error = 1.0e-30 relative error = 3.0987262732956886296234832647903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 3.2278738845941909068713142575752 y[1] (numeric) = 3.2278738845941909068713142575761 absolute error = 9e-31 relative error = 2.7882130224959152015038094361501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.263 y[1] (analytic) = 3.2286143888840586830810686666656 y[1] (numeric) = 3.2286143888840586830810686666665 absolute error = 9e-31 relative error = 2.7875735272030329001151800577418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 3.2293539275596180430951980707674 y[1] (numeric) = 3.2293539275596180430951980707684 absolute error = 1.0e-30 relative error = 3.0965946205707076647028361471161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.265 y[1] (analytic) = 3.2300925008813302896492328092017 y[1] (numeric) = 3.2300925008813302896492328092027 absolute error = 1.0e-30 relative error = 3.0958865720630295852897462451093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.266 y[1] (analytic) = 3.2308301091106220792453705301393 y[1] (numeric) = 3.2308301091106220792453705301404 absolute error = 1.1e-30 relative error = 3.4046977490339357413113155109262e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 3.2315667525098851607258414739579 y[1] (numeric) = 3.2315667525098851607258414739589 absolute error = 1.0e-30 relative error = 3.0944742181894355360345367929271e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.268 y[1] (analytic) = 3.2323024313424761128811814969892 y[1] (numeric) = 3.2323024313424761128811814969902 absolute error = 1.0e-30 relative error = 3.0937699093480828147475112742295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 3.2330371458727160810936752273647 y[1] (numeric) = 3.2330371458727160810936752273658 absolute error = 1.1e-30 relative error = 3.4023735279511284143534419976134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (analytic) = 3.2337708963658905130162327094922 y[1] (numeric) = 3.2337708963658905130162327094933 absolute error = 1.1e-30 relative error = 3.4016015211101665732735952032914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 3.2345036830882488932869638582654 y[1] (numeric) = 3.2345036830882488932869638582665 absolute error = 1.1e-30 relative error = 3.4008308778604907338337626293200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.272 y[1] (analytic) = 3.2352355063070044772797160084106 y[1] (numeric) = 3.2352355063070044772797160084117 absolute error = 1.1e-30 relative error = 3.4000615963059864696314456910677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 3.2359663662903340238908408084099 y[1] (numeric) = 3.2359663662903340238908408084109 absolute error = 1.0e-30 relative error = 3.0902669768672096123106488321884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.274 y[1] (analytic) = 3.2366962633073775273624576722117 y[1] (numeric) = 3.2366962633073775273624576722127 absolute error = 1.0e-30 relative error = 3.0895701006499835359587550465528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 3.2374251976282379481424819654439 y[1] (numeric) = 3.2374251976282379481424819654449 absolute error = 1.0e-30 relative error = 3.0888744571847019725745836505544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.276 y[1] (analytic) = 3.2381531695239809427816870660775 y[1] (numeric) = 3.2381531695239809427816870660785 absolute error = 1.0e-30 relative error = 3.0881800447599063244519153014699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.277 y[1] (analytic) = 3.2388801792666345928680704024572 y[1] (numeric) = 3.2388801792666345928680704024582 absolute error = 1.0e-30 relative error = 3.0874868616671877189729941535375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.278 y[1] (analytic) = 3.2396062271291891329987945343101 y[1] (numeric) = 3.2396062271291891329987945343111 absolute error = 1.0e-30 relative error = 3.0867949062011787651508222690866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 3.2403313133855966777899753047686 y[1] (numeric) = 3.2403313133855966777899753047696 absolute error = 1.0e-30 relative error = 3.0861041766595453327850219962501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (analytic) = 3.2410554383107709479245900535965 y[1] (numeric) = 3.2410554383107709479245900535975 absolute error = 1.0e-30 relative error = 3.0854146713429783541537511765125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.281 y[1] (analytic) = 3.2417786021805869952387798436879 y[1] (numeric) = 3.2417786021805869952387798436889 absolute error = 1.0e-30 relative error = 3.0847263885551856481644597354436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 3.2425008052718809268468206145129 y[1] (numeric) = 3.2425008052718809268468206145139 absolute error = 1.0e-30 relative error = 3.0840393266028837668865785985372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.283 y[1] (analytic) = 3.2432220478624496283050391375165 y[1] (numeric) = 3.2432220478624496283050391375174 absolute error = 9e-31 relative error = 2.7750181354162108779505796707240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 3.2439423302310504858149506095312 y[1] (numeric) = 3.2439423302310504858149506095322 absolute error = 1.0e-30 relative error = 3.0826688584466135878097717966383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.285 y[1] (analytic) = 3.244661652657401107465895681044 y[1] (numeric) = 3.2446616526574011074658956810449 absolute error = 9e-31 relative error = 2.7737869039839440915137234485706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.286 y[1] (analytic) = 3.2453800154221790435174556766546 y[1] (numeric) = 3.2453800154221790435174556766556 absolute error = 1.0e-30 relative error = 3.0813032533877664676805278178825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.287 y[1] (analytic) = 3.2460974188070215057219257252902 y[1] (numeric) = 3.2460974188070215057219257252912 absolute error = 1.0e-30 relative error = 3.0806222703184047130304404599500e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.288 y[1] (analytic) = 3.2468138630945250856871264776764 y[1] (numeric) = 3.2468138630945250856871264776774 absolute error = 1.0e-30 relative error = 3.0799424979875626986216004298494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=1.22 x[1] = 0.289 y[1] (analytic) = 3.2475293485682454722798360482323 y[1] (numeric) = 3.2475293485682454722798360482333 absolute error = 1.0e-30 relative error = 3.0792639347227916756425201685844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 3.2482438755126971680701247779319 y[1] (numeric) = 3.2482438755126971680701247779329 absolute error = 1.0e-30 relative error = 3.0785865788545871973244494334454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.291 y[1] (analytic) = 3.2489574442133532048168763737751 y[1] (numeric) = 3.2489574442133532048168763737761 absolute error = 1.0e-30 relative error = 3.0779104287163811634998054968884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 3.2496700549566448579947799393226 y[1] (numeric) = 3.2496700549566448579947799393236 absolute error = 1.0e-30 relative error = 3.0772354826445338867897946205876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.293 y[1] (analytic) = 3.2503817080299613603630783692788 y[1] (numeric) = 3.2503817080299613603630783692798 absolute error = 1.0e-30 relative error = 3.0765617389783261803475579114782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 3.2510924037216496145763595393507 y[1] (numeric) = 3.2510924037216496145763595393517 absolute error = 1.0e-30 relative error = 3.0758891960599514670834619223788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.295 y[1] (analytic) = 3.251802142321013904837677680568 y[1] (numeric) = 3.2518021423210139048376776805691 absolute error = 1.1e-30 relative error = 3.3827396374579587013293844333608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 3.2525109241183156075942932849186 y[1] (numeric) = 3.2525109241183156075942932849196 absolute error = 1.0e-30 relative error = 3.0745477058499905656595783533581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 3.2532187494047729012763208465347 y[1] (numeric) = 3.2532187494047729012763208465357 absolute error = 1.0e-30 relative error = 3.0738787552572835544244133933271e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.298 y[1] (analytic) = 3.2539256184725604750785746997598 y[1] (numeric) = 3.2539256184725604750785746997607 absolute error = 9e-31 relative error = 2.7658898989291370320890402247661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.299 y[1] (analytic) = 3.2546315316148092367859041722236 y[1] (numeric) = 3.2546315316148092367859041722245 absolute error = 9e-31 relative error = 2.7652899913787119795800794014791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 3.255336489125606019642310227568 y[1] (numeric) = 3.255336489125606019642310227569 absolute error = 1.0e-30 relative error = 3.0718790617820379484054632327009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.301 y[1] (analytic) = 3.2560404912999932882641367286816 y[1] (numeric) = 3.2560404912999932882641367286825 absolute error = 9e-31 relative error = 2.7640933901306298389105465885543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.302 y[1] (analytic) = 3.2567435384339688435976304082261 y[1] (numeric) = 3.2567435384339688435976304082271 absolute error = 1.0e-30 relative error = 3.0705518816531006042983283348971e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 3.2574456308244855269211645888734 y[1] (numeric) = 3.2574456308244855269211645888744 absolute error = 1.0e-30 relative error = 3.0698900713406289660591111619858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.304 y[1] (analytic) = 3.2581467687694509228924226510006 y[1] (numeric) = 3.2581467687694509228924226510016 absolute error = 1.0e-30 relative error = 3.0692294453563973305643061126965e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 3.2588469525677270616408382006383 y[1] (numeric) = 3.2588469525677270616408382006394 absolute error = 1.1e-30 relative error = 3.3754270022815354190378563796555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.306 y[1] (analytic) = 3.2595461825191301199055898452054 y[1] (numeric) = 3.2595461825191301199055898452065 absolute error = 1.1e-30 relative error = 3.3747029138573776070780260920492e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 3.2602444589244301212194494390108 y[1] (numeric) = 3.2602444589244301212194494390118 absolute error = 1.0e-30 relative error = 3.0672546571244067752368414021871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.308 y[1] (analytic) = 3.2609417820853506351387836146492 y[1] (numeric) = 3.2609417820853506351387836146503 absolute error = 1.1e-30 relative error = 3.3732586274403135706335611565004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.309 y[1] (analytic) = 3.2616381523045684755200093702652 y[1] (numeric) = 3.2616381523045684755200093702662 absolute error = 1.0e-30 relative error = 3.0659440235374736635474295617059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = 3.2623335698857133978428054362022 y[1] (numeric) = 3.2623335698857133978428054362032 absolute error = 1.0e-30 relative error = 3.0652904694691664017608299846823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 3.2630280351333677955803820978034 y[1] (numeric) = 3.2630280351333677955803820978044 absolute error = 1.0e-30 relative error = 3.0646380884040660637161438171008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.312 y[1] (analytic) = 3.2637215483530663956171131040662 y[1] (numeric) = 3.2637215483530663956171131040672 absolute error = 1.0e-30 relative error = 3.0639868787354677833890808927323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.313 y[1] (analytic) = 3.2644141098512959527138342444951 y[1] (numeric) = 3.2644141098512959527138342444961 absolute error = 1.0e-30 relative error = 3.0633368388594333658664423266108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 3.2651057199354949430211141288279 y[1] (numeric) = 3.2651057199354949430211141288289 absolute error = 1.0e-30 relative error = 3.0626879671747838112363349663324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.315 y[1] (analytic) = 3.2657963789140532566408036563392 y[1] (numeric) = 3.2657963789140532566408036563402 absolute error = 1.0e-30 relative error = 3.0620402620830918584838022465359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 3.2664860870963118892361716131461 y[1] (numeric) = 3.2664860870963118892361716131471 absolute error = 1.0e-30 relative error = 3.0613937219886745493245125901407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.317 y[1] (analytic) = 3.2671748447925626326909347873552 y[1] (numeric) = 3.2671748447925626326909347873562 absolute error = 1.0e-30 relative error = 3.0607483452985858119094071036281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.3MB, time=1.40 x[1] = 0.318 y[1] (analytic) = 3.2678626523140477648174919429938 y[1] (numeric) = 3.2678626523140477648174919429948 absolute error = 1.0e-30 relative error = 3.0601041304226090643334678243868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.319 y[1] (analytic) = 3.2685495099729597381146719444671 y[1] (numeric) = 3.2685495099729597381146719444681 absolute error = 1.0e-30 relative error = 3.0594610757732498378820262011657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 3.2692354180824408675753072737661 y[1] (numeric) = 3.2692354180824408675753072737671 absolute error = 1.0e-30 relative error = 3.0588191797657284199482888292012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.321 y[1] (analytic) = 3.2699203769565830175439451328269 y[1] (numeric) = 3.2699203769565830175439451328279 absolute error = 1.0e-30 relative error = 3.0581784408179725165560137248096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.322 y[1] (analytic) = 3.2706043869104272876250092733052 y[1] (numeric) = 3.2706043869104272876250092733061 absolute error = 9e-31 relative error = 2.7517849716155489409793730537873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.323 y[1] (analytic) = 3.271287448259963697641726645576 y[1] (numeric) = 3.2712874482599636976417266455769 absolute error = 9e-31 relative error = 2.7512103850082651542405615598786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.324 y[1] (analytic) = 3.2719695613221308716461339080079 y[1] (numeric) = 3.2719695613221308716461339080088 absolute error = 9e-31 relative error = 2.7506368354977294235895713988967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.325 y[1] (analytic) = 3.2726507264148157209804797864775 y[1] (numeric) = 3.2726507264148157209804797864784 absolute error = 9e-31 relative error = 2.7500643216697577050462993332108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 3.2733309438568531263903402226954 y[1] (numeric) = 3.2733309438568531263903402226963 absolute error = 9e-31 relative error = 2.7494928421125698753546357839563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.327 y[1] (analytic) = 3.2740102139680256191897641982033 y[1] (numeric) = 3.2740102139680256191897641982042 absolute error = 9e-31 relative error = 2.7489223954167832328848201408187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 3.2746885370690630614787690688678 y[1] (numeric) = 3.2746885370690630614787690688687 absolute error = 9e-31 relative error = 2.7483529801754060157705886110641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.329 y[1] (analytic) = 3.2753659134816423254135051923513 y[1] (numeric) = 3.2753659134816423254135051923522 absolute error = 9e-31 relative error = 2.7477845949838309372234653076760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = 3.2760423435283869715294105783662 y[1] (numeric) = 3.2760423435283869715294105783671 absolute error = 9e-31 relative error = 2.7472172384398287379667693935807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 3.2767178275328669261176772385331 y[1] (numeric) = 3.276717827532866926117677238534 absolute error = 9e-31 relative error = 2.7466509091435417557321322919234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.332 y[1] (analytic) = 3.2773923658195981576553518593481 y[1] (numeric) = 3.277392365819598157655351859349 absolute error = 9e-31 relative error = 2.7460856056974775117615392456034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.333 y[1] (analytic) = 3.2780659587140423522893943681328 y[1] (numeric) = 3.2780659587140423522893943681338 absolute error = 1.0e-30 relative error = 3.0505792518961136825090320746500e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.334 y[1] (analytic) = 3.2787386065426065883750189078808 y[1] (numeric) = 3.2787386065426065883750189078818 absolute error = 1.0e-30 relative error = 3.0499534119753720874768919635972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.335 y[1] (analytic) = 3.2794103096326430100686426826321 y[1] (numeric) = 3.2794103096326430100686426826331 absolute error = 1.0e-30 relative error = 3.0493287072455999612945720994068e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.336 y[1] (analytic) = 3.2800810683124484999757690804005 y[1] (numeric) = 3.2800810683124484999757690804015 absolute error = 1.0e-30 relative error = 3.0487051361644689244421409100058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 3.280750882911264350854132425743 y[1] (numeric) = 3.280750882911264350854132425744 absolute error = 1.0e-30 relative error = 3.0480826971922432297599234113908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.338 y[1] (analytic) = 3.2814197537592759363724326587988 y[1] (numeric) = 3.2814197537592759363724326587998 absolute error = 1.0e-30 relative error = 3.0474613887917727483937324521096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 3.2820876811876123809249891820363 y[1] (numeric) = 3.2820876811876123809249891820373 absolute error = 1.0e-30 relative error = 3.0468412094284859741986728929440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (analytic) = 3.2827546655283462285026440600266 y[1] (numeric) = 3.2827546655283462285026440600275 absolute error = 9e-31 relative error = 2.7415999418133447418861107306778e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.341 y[1] (analytic) = 3.2834207071144931106202457013121 y[1] (numeric) = 3.283420707114493110620245701313 absolute error = 9e-31 relative error = 2.7410438085192259122876600324636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.342 y[1] (analytic) = 3.2840858062800114133010450948604 y[1] (numeric) = 3.2840858062800114133010450948612 absolute error = 8e-31 relative error = 2.4359899442036366247540140323399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 3.2847499633598019431183376166772 y[1] (numeric) = 3.2847499633598019431183376166781 absolute error = 9e-31 relative error = 2.7399345765710466697500097674976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.344 y[1] (analytic) = 3.2854131786897075922946843649114 y[1] (numeric) = 3.2854131786897075922946843649122 absolute error = 8e-31 relative error = 2.4350057557115447970618969942967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.345 y[1] (analytic) = 3.2860754526065130028590479241997 y[1] (numeric) = 3.2860754526065130028590479242005 absolute error = 8e-31 relative error = 2.4345150059334167087913569178611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.346 y[1] (analytic) = 3.2867367854479442298621784020909 y[1] (numeric) = 3.2867367854479442298621784020917 absolute error = 8e-31 relative error = 2.4340251508487292749053810690578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.3MB, time=1.59 x[1] = 0.347 y[1] (analytic) = 3.2873971775526684036505865221322 y[1] (numeric) = 3.287397177552668403650586522133 absolute error = 8e-31 relative error = 2.4335361892461287585584035437135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 3.2880566292602933911994414996184 y[1] (numeric) = 3.2880566292602933911994414996193 absolute error = 9e-31 relative error = 2.7371791349058089354017063722586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.349 y[1] (analytic) = 3.2887151409113674565047323670778 y[1] (numeric) = 3.2887151409113674565047323670787 absolute error = 9e-31 relative error = 2.7366310593583132627414981210187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 3.2893727128473789200350323573037 y[1] (numeric) = 3.2893727128473789200350323573045 absolute error = 8e-31 relative error = 2.4320746532474764467756603702147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.351 y[1] (analytic) = 3.2900293454107558172432068921403 y[1] (numeric) = 3.2900293454107558172432068921411 absolute error = 8e-31 relative error = 2.4315892534998682721411599546626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.352 y[1] (analytic) = 3.2906850389448655561384066652863 y[1] (numeric) = 3.2906850389448655561384066652871 absolute error = 8e-31 relative error = 2.4311047412076673096260330144166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.353 y[1] (analytic) = 3.2913397937940145739186882470937 y[1] (numeric) = 3.2913397937940145739186882470945 absolute error = 8e-31 relative error = 2.4306211151715174522788388068205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.354 y[1] (analytic) = 3.2919936103034479926646055787134 y[1] (numeric) = 3.2919936103034479926646055787142 absolute error = 8e-31 relative error = 2.4301383741940432832290915129717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.355 y[1] (analytic) = 3.292646488819349274094116661967 y[1] (numeric) = 3.2926464888193492740941166619678 absolute error = 8e-31 relative error = 2.4296565170798447089266114609369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 3.2932984296888398733791506900099 y[1] (numeric) = 3.2932984296888398733791506900107 absolute error = 8e-31 relative error = 2.4291755426354916063378835363518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.357 y[1] (analytic) = 3.2939494332599788920241818021889 y[1] (numeric) = 3.2939494332599788920241818021897 absolute error = 8e-31 relative error = 2.4286954496695184840534091421194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.358 y[1] (analytic) = 3.2945994998817627298071565844923 y[1] (numeric) = 3.2945994998817627298071565844931 absolute error = 8e-31 relative error = 2.4282162369924191572602139242063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.359 y[1] (analytic) = 3.2952486299041247357831233746356 y[1] (numeric) = 3.2952486299041247357831233746364 absolute error = 8e-31 relative error = 2.4277379034166414365338486169049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (analytic) = 3.2958968236779348583509123681247 y[1] (numeric) = 3.2958968236779348583509123681255 absolute error = 8e-31 relative error = 2.4272604477565818304043947817664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 3.296544081554999294383216458587 y[1] (numeric) = 3.2965440815549992943832164585877 absolute error = 7e-31 relative error = 2.1234358852250077289447658077043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.362 y[1] (analytic) = 3.2971904038880601374204236822605 y[1] (numeric) = 3.2971904038880601374204236822612 absolute error = 7e-31 relative error = 2.1230196447695504476208115299103e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.363 y[1] (analytic) = 3.2978357910307950249285530727796 y[1] (numeric) = 3.2978357910307950249285530727803 absolute error = 7e-31 relative error = 2.1226041693883218431266749326576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.364 y[1] (analytic) = 3.2984802433378167846216466682912 y[1] (numeric) = 3.2984802433378167846216466682919 absolute error = 7e-31 relative error = 2.1221894580506931903800886011174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 3.2991237611646730798489713484808 y[1] (numeric) = 3.2991237611646730798489713484815 absolute error = 7e-31 relative error = 2.1217755097277178781366170245036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.366 y[1] (analytic) = 3.2997663448678460540473851142766 y[1] (numeric) = 3.2997663448678460540473851142773 absolute error = 7e-31 relative error = 2.1213623233921268452210596359096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 3.3004079948047519742592233578357 y[1] (numeric) = 3.3004079948047519742592233578364 absolute error = 7e-31 relative error = 2.1209498980183240285367140870820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.368 y[1] (analytic) = 3.3010487113337408737160616048967 y[1] (numeric) = 3.3010487113337408737160616048974 absolute error = 7e-31 relative error = 2.1205382325823818228138963187711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.369 y[1] (analytic) = 3.3016884948140961934887121457059 y[1] (numeric) = 3.3016884948140961934887121457066 absolute error = 7e-31 relative error = 2.1201273260620365520592611019506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = 3.3023273456060344232038129044909 y[1] (numeric) = 3.3023273456060344232038129044916 absolute error = 7e-31 relative error = 2.1197171774366839526676132426475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 3.3029652640707047408273678308622 y[1] (numeric) = 3.3029652640707047408273678308629 absolute error = 7e-31 relative error = 2.1193077856873746681580455661830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.372 y[1] (analytic) = 3.3036022505701886515155990295735 y[1] (numeric) = 3.3036022505701886515155990295742 absolute error = 7e-31 relative error = 2.1188991497968097554963851280857e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 3.3042383054674996255334717777569 y[1] (numeric) = 3.3042383054674996255334717777576 absolute error = 7e-31 relative error = 2.1184912687493362029660738415815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.374 y[1] (analytic) = 3.3048734291265827352412545110794 y[1] (numeric) = 3.3048734291265827352412545110801 absolute error = 7e-31 relative error = 2.1180841415309424595497538681541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.375 y[1] (analytic) = 3.3055076219123142911494767922296 y[1] (numeric) = 3.3055076219123142911494767922302 absolute error = 6e-31 relative error = 1.8151523718250748363862614493945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.376 y[1] (analytic) = 3.3061408841905014770426492067458 y[1] (numeric) = 3.3061408841905014770426492067464 memory used=38.1MB, alloc=4.3MB, time=1.77 absolute error = 6e-31 relative error = 1.8148046953144532194710495288106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.377 y[1] (analytic) = 3.306773216327881984172110062437 y[1] (numeric) = 3.3067732163278819841721100624376 absolute error = 6e-31 relative error = 1.8144576623439882190803267443364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.378 y[1] (analytic) = 3.3074046186921236445183646995176 y[1] (numeric) = 3.3074046186921236445183646995182 absolute error = 6e-31 relative error = 1.8141112720501168190685602266196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.379 y[1] (analytic) = 3.308035091651824063123284149087 y[1] (numeric) = 3.3080350916518240631232841490876 absolute error = 6e-31 relative error = 1.8137655235706639566820843657523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 3.3086646355765102494925308077246 y[1] (numeric) = 3.3086646355765102494925308077251 absolute error = 5e-31 relative error = 1.5111836800373656242717441491613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.381 y[1] (analytic) = 3.3092932508366382480685797257438 y[1] (numeric) = 3.3092932508366382480685797257443 absolute error = 5e-31 relative error = 1.5108966238443589414791583170900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 3.3099209378035927677747050360532 y[1] (numeric) = 3.3099209378035927677747050360537 absolute error = 5e-31 relative error = 1.5106101003481717449956079575671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.383 y[1] (analytic) = 3.310547696849686810630301979607 y[1] (numeric) = 3.3105476968496868106303019796075 absolute error = 5e-31 relative error = 1.5103241088349199621215799469130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 3.3111735283481612994379159120923 y[1] (numeric) = 3.3111735283481612994379159120928 absolute error = 5e-31 relative error = 1.5100386485918605054469931041029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.385 y[1] (analytic) = 3.3117984326731847045423506047928 y[1] (numeric) = 3.3117984326731847045423506047933 absolute error = 5e-31 relative error = 1.5097537189073881682439346145599e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.386 y[1] (analytic) = 3.3124224101998526696622290804899 y[1] (numeric) = 3.3124224101998526696622290804904 absolute error = 5e-31 relative error = 1.5094693190710325277658132585645e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.387 y[1] (analytic) = 3.3130454613041876367943811528091 y[1] (numeric) = 3.3130454613041876367943811528096 absolute error = 5e-31 relative error = 1.5091854483734548564272810761135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 3.3136675863631384701914327645926 y[1] (numeric) = 3.3136675863631384701914327645931 absolute error = 5e-31 relative error = 1.5089021061064450408393724104404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.389 y[1] (analytic) = 3.3142887857545800794129731476774 y[1] (numeric) = 3.3142887857545800794129731476779 absolute error = 5e-31 relative error = 1.5086192915629185086744061926307e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = 3.3149090598573130414506767528811 y[1] (numeric) = 3.3149090598573130414506767528816 absolute error = 5e-31 relative error = 1.5083370040369131633352938616644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.391 y[1] (analytic) = 3.3155284090510632219277578250411 y[1] (numeric) = 3.3155284090510632219277578250416 absolute error = 5e-31 relative error = 1.5080552428235863264039914595943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.392 y[1] (analytic) = 3.3161468337164813953731364236214 y[1] (numeric) = 3.3161468337164813953731364236219 absolute error = 5e-31 relative error = 1.5077740072192116878439302022337e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 3.3167643342351428645706956146894 y[1] (numeric) = 3.3167643342351428645706956146898 absolute error = 4e-31 relative error = 1.2059946372169410111450841627754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.394 y[1] (analytic) = 3.3173809109895470789840104849733 y[1] (numeric) = 3.3173809109895470789840104849738 absolute error = 5e-31 relative error = 1.5072131100279773628905970279261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 3.3179965643631172522569305532408 y[1] (numeric) = 3.3179965643631172522569305532413 absolute error = 5e-31 relative error = 1.5069334470392195582083953639543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.396 y[1] (analytic) = 3.3186112947401999787903980783825 y[1] (numeric) = 3.318611294740199978790398078383 absolute error = 5e-31 relative error = 1.5066543068556116696024883485671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 3.3192251025060648493958856873514 y[1] (numeric) = 3.3192251025060648493958856873519 absolute error = 5e-31 relative error = 1.5063756887789637516197749397770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.398 y[1] (analytic) = 3.3198379880469040660258376694886 y[1] (numeric) = 3.3198379880469040660258376694891 absolute error = 5e-31 relative error = 1.5060975921121840898394512215105e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 3.3204499517498320555815002067615 y[1] (numeric) = 3.320449951749832055581500206762 absolute error = 5e-31 relative error = 1.5058200161592762046566146436723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = 3.3210609940028850827985267320518 y[1] (numeric) = 3.3210609940028850827985267320523 absolute error = 5e-31 relative error = 1.5055429602253358626219229467023e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.401 y[1] (analytic) = 3.3216711151950208622107455298569 y[1] (numeric) = 3.3216711151950208622107455298574 absolute error = 5e-31 relative error = 1.5052664236165480953129868978515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.402 y[1] (analytic) = 3.3222803157161181691924776156028 y[1] (numeric) = 3.3222803157161181691924776156034 absolute error = 6e-31 relative error = 1.8059884867682210708559215725336e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 3.3228885959569764500797938512206 y[1] (numeric) = 3.3228885959569764500797938512212 absolute error = 6e-31 relative error = 1.8056578867255186824892125551546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.404 y[1] (analytic) = 3.3234959563093154313711011756945 y[1] (numeric) = 3.3234959563093154313711011756951 absolute error = 6e-31 relative error = 1.8053279073830725670849943762844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 3.3241023971657747280074487499645 y[1] (numeric) = 3.3241023971657747280074487499651 absolute error = 6e-31 relative error = 1.8049985479134976408687930013206e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=41.9MB, alloc=4.3MB, time=1.96 TOP MAIN SOLVE Loop x[1] = 0.406 y[1] (analytic) = 3.3247079189199134507329457358444 y[1] (numeric) = 3.324707918919913450732945735845 absolute error = 6e-31 relative error = 1.8046698074906981858842707965383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 3.3253125219662098125356833485036 y[1] (numeric) = 3.3253125219662098125356833485042 absolute error = 6e-31 relative error = 1.8043416852898643262606477967180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.408 y[1] (analytic) = 3.3259162067000607341695547415594 y[1] (numeric) = 3.32591620670006073416955474156 absolute error = 6e-31 relative error = 1.8040141804874685133169753575636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.409 y[1] (analytic) = 3.3265189735177814487573672029263 y[1] (numeric) = 3.326518973517781448757367202927 absolute error = 7e-31 relative error = 2.1043018409714723560541063288206e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 3.327120822816605105475642058277 y[1] (numeric) = 3.3271208228166051054756420582777 absolute error = 7e-31 relative error = 2.1039211897553166811107232138159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.411 y[1] (analytic) = 3.3277217549946823723214985972821 y[1] (numeric) = 3.3277217549946823723214985972828 absolute error = 7e-31 relative error = 2.1035412559639277440747396219863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 3.3283217704510810379620192557123 y[1] (numeric) = 3.328321770451081037962019255713 absolute error = 7e-31 relative error = 2.1031620386424667962938089445098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.413 y[1] (analytic) = 3.328920869585785612666494204004 y[1] (numeric) = 3.3289208695857856126664942040047 absolute error = 7e-31 relative error = 2.1027835368375707874384400130088e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.414 y[1] (analytic) = 3.3295190527996969283219444100102 y[1] (numeric) = 3.3295190527996969283219444100109 absolute error = 7e-31 relative error = 2.1024057495973483259589425914865e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.415 y[1] (analytic) = 3.3301163204946317375323231603814 y[1] (numeric) = 3.3301163204946317375323231603821 absolute error = 7e-31 relative error = 2.1020286759713756496234070743036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 3.3307126730733223118017969413405 y[1] (numeric) = 3.3307126730733223118017969413412 absolute error = 7e-31 relative error = 2.1016523150106926061045487337578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.417 y[1] (analytic) = 3.3313081109394160388025074955377 y[1] (numeric) = 3.3313081109394160388025074955384 absolute error = 7e-31 relative error = 2.1012766657677986435833682450303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 3.3319026344974750187272177871901 y[1] (numeric) = 3.3319026344974750187272177871908 absolute error = 7e-31 relative error = 2.1009017272966488113377011232350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.419 y[1] (analytic) = 3.3324962441529756597272455228257 y[1] (numeric) = 3.3324962441529756597272455228264 absolute error = 7e-31 relative error = 2.1005274986526497702838491392242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 3.3330889403123082724360887896657 y[1] (numeric) = 3.3330889403123082724360887896664 absolute error = 7e-31 relative error = 2.1001539788926558134396067398811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.421 y[1] (analytic) = 3.333680723382776663579149287984 y[1] (numeric) = 3.3336807233827766635791492879847 absolute error = 7e-31 relative error = 2.0997811670749648962771149870333e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 3.3342715937725977286699595476886 y[1] (numeric) = 3.3342715937725977286699595476893 absolute error = 7e-31 relative error = 2.0994090622593146769340945490277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.423 y[1] (analytic) = 3.3348615518909010437933214328626 y[1] (numeric) = 3.3348615518909010437933214328632 absolute error = 6e-31 relative error = 1.7991751401487530567875381422109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 3.335450598147728456475764151092 y[1] (numeric) = 3.3354505981477284564757641510927 absolute error = 7e-31 relative error = 2.0986669698802617876107784318893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 3.3360387329540336756437308970901 y[1] (numeric) = 3.3360387329540336756437308970908 absolute error = 7e-31 relative error = 2.0982969804434974465264536993556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.426 y[1] (analytic) = 3.3366259567216818606699041723951 y[1] (numeric) = 3.3366259567216818606699041723958 absolute error = 7e-31 relative error = 2.0979276942620426099850334096176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.427 y[1] (analytic) = 3.337212269863449209508080734783 y[1] (numeric) = 3.3372122698634492095080807347837 absolute error = 7e-31 relative error = 2.0975591104027743954774041982750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.428 y[1] (analytic) = 3.3377976727930225459170080424865 y[1] (numeric) = 3.3377976727930225459170080424872 absolute error = 7e-31 relative error = 2.0971912279339860697071557105330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 3.3383821659249989057735949693482 y[1] (numeric) = 3.3383821659249989057735949693489 absolute error = 7e-31 relative error = 2.0968240459253831569398101953342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = 3.3389657496748851224759104776634 y[1] (numeric) = 3.3389657496748851224759104776642 absolute error = 8e-31 relative error = 2.3959515010835194936720830049415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 3.33954842445909741143638484568 y[1] (numeric) = 3.3395484244590974114363848456807 absolute error = 7e-31 relative error = 2.0960917795745936726277033543499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.432 y[1] (analytic) = 3.3401301906949609536656289565175 y[1] (numeric) = 3.3401301906949609536656289565182 absolute error = 7e-31 relative error = 2.0957266933788445469387296641754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 3.3407110488007094784472880646543 y[1] (numeric) = 3.3407110488007094784472880646549 absolute error = 6e-31 relative error = 1.7960248319452697225715658137694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.434 y[1] (analytic) = 3.3412909991954848451043473650912 y[1] (numeric) = 3.3412909991954848451043473650918 absolute error = 6e-31 relative error = 1.7957130945627538572426962053916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=45.7MB, alloc=4.3MB, time=2.14 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 3.3418700422993366238573075988539 y[1] (numeric) = 3.3418700422993366238573075988546 absolute error = 7e-31 relative error = 2.0946356116181368993543107707494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.436 y[1] (analytic) = 3.3424481785332216757746498366219 y[1] (numeric) = 3.3424481785332216757746498366226 absolute error = 7e-31 relative error = 2.0942733069004033718677595547885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 3.3430254083190037318160094899842 y[1] (numeric) = 3.343025408319003731816009489985 absolute error = 8e-31 relative error = 2.3930419374295735809040409623713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.438 y[1] (analytic) = 3.3436017320794529709684805071144 y[1] (numeric) = 3.3436017320794529709684805071151 absolute error = 7e-31 relative error = 2.0935507757517997275021008428629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 3.3441771502382455974764716165229 y[1] (numeric) = 3.3441771502382455974764716165237 absolute error = 8e-31 relative error = 2.3922177685563292149270458506668e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (analytic) = 3.3447516632199634171655373889984 y[1] (numeric) = 3.3447516632199634171655373889991 absolute error = 7e-31 relative error = 2.0928310095408281256279916717820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.441 y[1] (analytic) = 3.3453252714500934128606077938682 y[1] (numeric) = 3.345325271450093412860607793869 absolute error = 8e-31 relative error = 2.3913967554288827996137867729097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 3.3458979753550273188990408313166 y[1] (numeric) = 3.3458979753550273188990408313174 absolute error = 8e-31 relative error = 2.3909874296603841135730879094958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.443 y[1] (analytic) = 3.3464697753620611947389237276696 y[1] (numeric) = 3.3464697753620611947389237276704 absolute error = 8e-31 relative error = 2.3905788897001061816186670293446e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.444 y[1] (analytic) = 3.3470406718993949976630490853117 y[1] (numeric) = 3.3470406718993949976630490853125 absolute error = 8e-31 relative error = 2.3901711345085391219808111723532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.445 y[1] (analytic) = 3.3476106653961321545789932832218 y[1] (numeric) = 3.3476106653961321545789932832226 absolute error = 8e-31 relative error = 2.3897641630477173704297070980862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 3.3481797562822791329157253280146 y[1] (numeric) = 3.3481797562822791329157253280154 absolute error = 8e-31 relative error = 2.3893579742812154147659880224399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.447 y[1] (analytic) = 3.3487479449887450106171752588427 y[1] (numeric) = 3.3487479449887450106171752588435 absolute error = 8e-31 relative error = 2.3889525671741435397221623064824e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.448 y[1] (analytic) = 3.3493152319473410452331921125551 y[1] (numeric) = 3.3493152319473410452331921125559 absolute error = 8e-31 relative error = 2.3885479406931435822423394921809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.449 y[1] (analytic) = 3.3498816175907802421083223581184 y[1] (numeric) = 3.3498816175907802421083223581192 absolute error = 8e-31 relative error = 2.3881440938063846971077915401241e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = 3.3504471023526769216688406114864 y[1] (numeric) = 3.3504471023526769216688406114873 absolute error = 9e-31 relative error = 2.6862086536690040244855102532545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.451 y[1] (analytic) = 3.3510116866675462858084653438511 y[1] (numeric) = 3.3510116866675462858084653438519 absolute error = 8e-31 relative error = 2.3873387346958780181010342776729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 3.3515753709708039833731931975225 y[1] (numeric) = 3.3515753709708039833731931975233 absolute error = 8e-31 relative error = 2.3869372204160671578029720251933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.453 y[1] (analytic) = 3.352138155698765674745686424569 y[1] (numeric) = 3.3521381556987656747456864245699 absolute error = 9e-31 relative error = 2.6848535418206581951740416113709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 3.352700041288646595529648863792 y[1] (numeric) = 3.3527000412886465955296488637928 absolute error = 8e-31 relative error = 2.3861365172785076533539451237621e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.455 y[1] (analytic) = 3.3532610281785611193346267716233 y[1] (numeric) = 3.3532610281785611193346267716241 absolute error = 8e-31 relative error = 2.3857373263737463126489131960071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.456 y[1] (analytic) = 3.3538211168075223196616717221096 y[1] (numeric) = 3.3538211168075223196616717221104 absolute error = 8e-31 relative error = 2.3853389078828214974859813903960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 3.3543803076154415308903036902821 y[1] (numeric) = 3.3543803076154415308903036902828 absolute error = 7e-31 relative error = 2.0868236031877234864043481952819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.458 y[1] (analytic) = 3.3549386010431279083672133319129 y[1] (numeric) = 3.3549386010431279083672133319136 absolute error = 7e-31 relative error = 2.0864763360568024415443492088534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 3.3554959975322879875971433709198 y[1] (numeric) = 3.3554959975322879875971433709206 absolute error = 8e-31 relative error = 2.3841482767028753250694547490422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = 3.3560524975255252425363899035004 y[1] (numeric) = 3.3560524975255252425363899035012 absolute error = 8e-31 relative error = 2.3837529376845375548595006002408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.461 y[1] (analytic) = 3.356608101466339642989365325457 y[1] (numeric) = 3.3566081014663396429893653254578 absolute error = 8e-31 relative error = 2.3833583659960741751441282332481e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.462 y[1] (analytic) = 3.3571628097991272111086654861145 y[1] (numeric) = 3.3571628097991272111086654861153 absolute error = 8e-31 relative error = 2.3829645606251287935368208138431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.463 y[1] (analytic) = 3.3577166229691795769990845687246 y[1] (numeric) = 3.3577166229691795769990845687254 absolute error = 8e-31 relative error = 2.3825715205608141226674382667137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=2.33 x[1] = 0.464 y[1] (analytic) = 3.3582695414226835334260220933066 y[1] (numeric) = 3.3582695414226835334260220933074 absolute error = 8e-31 relative error = 2.3821792447937078971816999549622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 3.3588215656067205896287273334791 y[1] (numeric) = 3.3588215656067205896287273334799 absolute error = 8e-31 relative error = 2.3817877323158488005833852123142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.466 y[1] (analytic) = 3.3593726959692665242388273340021 y[1] (numeric) = 3.359372695969266524238827334003 absolute error = 9e-31 relative error = 2.6790716048858239521249012450083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.467 y[1] (analytic) = 3.3599229329591909373045856104637 y[1] (numeric) = 3.3599229329591909373045856104646 absolute error = 9e-31 relative error = 2.6786328673537204898210787609284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.468 y[1] (analytic) = 3.360472277026256801421339506815 y[1] (numeric) = 3.3604722770262568014213395068159 absolute error = 9e-31 relative error = 2.6781949851299663514848913482595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 3.3610207286211200119685650802794 y[1] (numeric) = 3.3610207286211200119685650802803 absolute error = 9e-31 relative error = 2.6777579570871337231589721761568e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = 3.3615682881953289364540192765334 y[1] (numeric) = 3.3615682881953289364540192765343 absolute error = 9e-31 relative error = 2.6773217820994156117400110373070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.471 y[1] (analytic) = 3.3621149562013239629654100509787 y[1] (numeric) = 3.3621149562013239629654100509796 absolute error = 9e-31 relative error = 2.6768864590426213283996633381064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.472 y[1] (analytic) = 3.362660733092437047730045984399 y[1] (numeric) = 3.3626607330924370477300459843999 absolute error = 9e-31 relative error = 2.6764519867941719828414015383514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.473 y[1] (analytic) = 3.3632056193228912617829178333128 y[1] (numeric) = 3.3632056193228912617829178333137 absolute error = 9e-31 relative error = 2.6760183642330959883599420921263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.474 y[1] (analytic) = 3.3637496153478003367436653469044 y[1] (numeric) = 3.3637496153478003367436653469053 absolute error = 9e-31 relative error = 2.6755855902400245776700061681315e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.475 y[1] (analytic) = 3.3642927216231682097028835735269 y[1] (numeric) = 3.3642927216231682097028835735278 absolute error = 9e-31 relative error = 2.6751536636971873294712971816589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 3.3648349386058885672182237704341 y[1] (numeric) = 3.3648349386058885672182237704349 absolute error = 8e-31 relative error = 2.3775311853230290717481799590234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.477 y[1] (analytic) = 3.3653762667537443884207449206015 y[1] (numeric) = 3.3653762667537443884207449206024 absolute error = 9e-31 relative error = 2.6742923484990985995508501294266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.478 y[1] (analytic) = 3.3659167065254074872319727502484 y[1] (numeric) = 3.3659167065254074872319727502493 absolute error = 9e-31 relative error = 2.6738629576162578938862758315576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.479 y[1] (analytic) = 3.3664562583804380536921240299613 y[1] (numeric) = 3.3664562583804380536921240299622 absolute error = 9e-31 relative error = 2.6734344097284640305845764201893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 3.3669949227792841943999548311587 y[1] (numeric) = 3.3669949227792841943999548311596 absolute error = 9e-31 relative error = 2.6730067037258715902100506393341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.481 y[1] (analytic) = 3.3675327001832814720646922980094 y[1] (numeric) = 3.3675327001832814720646922980102 absolute error = 8e-31 relative error = 2.3756265231112950065097319151165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 3.3680695910546524441705103828338 y[1] (numeric) = 3.3680695910546524441705103828347 absolute error = 9e-31 relative error = 2.6721538129447635462835719850058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.483 y[1] (analytic) = 3.3686055958565062007540108804759 y[1] (numeric) = 3.3686055958565062007540108804768 absolute error = 9e-31 relative error = 2.6717286259543981625245933853175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.484 y[1] (analytic) = 3.3691407150528379012951719841238 y[1] (numeric) = 3.3691407150528379012951719841246 absolute error = 8e-31 relative error = 2.3744926901560229993573980668734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.485 y[1] (analytic) = 3.3696749491085283107222274715935 y[1] (numeric) = 3.3696749491085283107222274715943 absolute error = 8e-31 relative error = 2.3741162340054364619562518773429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.486 y[1] (analytic) = 3.370208298489343334530940517158 y[1] (numeric) = 3.3702082984893433345309405171588 absolute error = 8e-31 relative error = 2.3737405203072780216867256817110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.487 y[1] (analytic) = 3.3707407636619335530187370096079 y[1] (numeric) = 3.3707407636619335530187370096087 absolute error = 8e-31 relative error = 2.3733655480847162704644995688199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.488 y[1] (analytic) = 3.3712723450938337546341641423728 y[1] (numeric) = 3.3712723450938337546341641423736 absolute error = 8e-31 relative error = 2.3729913163622897144109129305785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 3.371803043253462468442140926205 y[1] (numeric) = 3.3718030432534624684421409262058 absolute error = 8e-31 relative error = 2.3726178241659029280427305077625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (analytic) = 3.3723328586101214957054681591367 y[1] (numeric) = 3.3723328586101214957054681591375 absolute error = 8e-31 relative error = 2.3722450705228227175766798548358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 3.3728617916339954405830662721614 y[1] (numeric) = 3.3728617916339954405830662721622 absolute error = 8e-31 relative error = 2.3718730544616742933210415864811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.492 y[1] (analytic) = 3.3733898427961512399454103523624 y[1] (numeric) = 3.3733898427961512399454103523632 absolute error = 8e-31 relative error = 2.3715017750124374511266778024919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.3MB, time=2.51 x[1] = 0.493 y[1] (analytic) = 3.3739170125685376923076325280146 y[1] (numeric) = 3.3739170125685376923076325280154 absolute error = 8e-31 relative error = 2.3711312312064427628699877343508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.494 y[1] (analytic) = 3.3744433014239849858807627825173 y[1] (numeric) = 3.3744433014239849858807627825182 absolute error = 9e-31 relative error = 2.6671065998359137479329307827003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.495 y[1] (analytic) = 3.3749687098362042257415801458792 y[1] (numeric) = 3.3749687098362042257415801458801 absolute error = 9e-31 relative error = 2.6666913899882623744180992085461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.496 y[1] (analytic) = 3.3754932382797869601215470938628 y[1] (numeric) = 3.3754932382797869601215470938636 absolute error = 8e-31 relative error = 2.3700240039813992329232883748426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 3.3760168872302047058153008658165 y[1] (numeric) = 3.3760168872302047058153008658173 absolute error = 8e-31 relative error = 2.3696563930885615700848538841777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.498 y[1] (analytic) = 3.3765396571638084727091762926628 y[1] (numeric) = 3.3765396571638084727091762926636 absolute error = 8e-31 relative error = 2.3692895130157478566427577067195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 3.3770615485578282874302356064793 y[1] (numeric) = 3.37706154855782828743023560648 absolute error = 7e-31 relative error = 2.0728079424520245952266537601544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 3.3775825618903727161162815826038 y[1] (numeric) = 3.3775825618903727161162815826046 absolute error = 8e-31 relative error = 2.3685579414889395600351408061544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.501 y[1] (analytic) = 3.3781026976404283863073312442114 y[1] (numeric) = 3.3781026976404283863073312442122 absolute error = 8e-31 relative error = 2.3681932481176257797008329395609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.502 y[1] (analytic) = 3.3786219562878595079590282378478 y[1] (numeric) = 3.3786219562878595079590282378486 absolute error = 8e-31 relative error = 2.3678292817316900867347990565690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.503 y[1] (analytic) = 3.3791403383134073935784728664688 y[1] (numeric) = 3.3791403383134073935784728664695 absolute error = 7e-31 relative error = 2.0715327862037928502167812029126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 3.3796578441986899774829496441145 y[1] (numeric) = 3.3796578441986899774829496441152 absolute error = 7e-31 relative error = 2.0712155853338123366513460762293e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.505 y[1] (analytic) = 3.3801744744262013341820331134515 y[1] (numeric) = 3.3801744744262013341820331134523 absolute error = 8e-31 relative error = 2.3667417349390028897380216098920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 3.3806902294793111958835535440366 y[1] (numeric) = 3.3806902294793111958835535440374 absolute error = 8e-31 relative error = 2.3663806669539633980486103770936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.507 y[1] (analytic) = 3.3812051098422644691239050052961 y[1] (numeric) = 3.3812051098422644691239050052968 absolute error = 7e-31 relative error = 2.0702677810416992974136040009254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 3.3817191160001807505231791838722 y[1] (numeric) = 3.381719116000180750523179183873 absolute error = 8e-31 relative error = 2.3656606966997942727989142311627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.509 y[1] (analytic) = 3.382232248439053841665609190164 y[1] (numeric) = 3.3822322484390538416656091901648 absolute error = 8e-31 relative error = 2.3653017925342379271434618239905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (analytic) = 3.3827445076457512631058084735755 y[1] (numeric) = 3.3827445076457512631058084735763 absolute error = 8e-31 relative error = 2.3649436077475639747223164746453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.511 y[1] (analytic) = 3.3832558941080137675012908401947 y[1] (numeric) = 3.3832558941080137675012908401955 absolute error = 8e-31 relative error = 2.3645861413947756628918504953615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.512 y[1] (analytic) = 3.3837664083144548518717584403411 y[1] (numeric) = 3.3837664083144548518717584403419 absolute error = 8e-31 relative error = 2.3642293925321563144321052511596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.513 y[1] (analytic) = 3.3842760507545602689856454666536 y[1] (numeric) = 3.3842760507545602689856454666543 absolute error = 7e-31 relative error = 2.0683891901901074814163434153923e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 3.3847848219186875378744061761341 y[1] (numeric) = 3.3847848219186875378744061761348 absolute error = 7e-31 relative error = 2.0680782880703193301755714248814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.515 y[1] (analytic) = 3.3852927222980654534750367218189 y[1] (numeric) = 3.3852927222980654534750367218196 absolute error = 7e-31 relative error = 2.0677680112838613753518420289814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 3.3857997523847935954013211515137 y[1] (numeric) = 3.3857997523847935954013211515145 absolute error = 8e-31 relative error = 2.3628095531536343549219516862245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.517 y[1] (analytic) = 3.3863059126718418358442928023069 y[1] (numeric) = 3.3863059126718418358442928023077 absolute error = 8e-31 relative error = 2.3624563776306583639070115461964e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.518 y[1] (analytic) = 3.3868112036530498466024031903571 y[1] (numeric) = 3.3868112036530498466024031903579 absolute error = 8e-31 relative error = 2.3621039139622299168732345690317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 3.3873156258231266052418913657465 y[1] (numeric) = 3.3873156258231266052418913657473 absolute error = 8e-31 relative error = 2.3617521612134915715501529464598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = 3.3878191796776499003878475719885 y[1] (numeric) = 3.3878191796776499003878475719893 absolute error = 8e-31 relative error = 2.3614011184508371210522739589581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 3.3883218657130658361464659190853 y[1] (numeric) = 3.3883218657130658361464659190861 absolute error = 8e-31 relative error = 2.3610507847419080264955117643930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.522 y[1] (analytic) = 3.3888236844266883356589816478407 y[1] (numeric) = 3.3888236844266883356589816478415 absolute error = 8e-31 relative error = 2.3607011591555898578911350106327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=57.2MB, alloc=4.3MB, time=2.70 TOP MAIN SOLVE Loop x[1] = 0.523 y[1] (analytic) = 3.389324636316698643787789431451 y[1] (numeric) = 3.3893246363166986437877894314517 absolute error = 7e-31 relative error = 2.0653082106667576503810748407348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.524 y[1] (analytic) = 3.389824721882144828935240028212 y[1] (numeric) = 3.3898247218821448289352400282127 absolute error = 7e-31 relative error = 2.0650035250534618478997888729926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.525 y[1] (analytic) = 3.3903239416229412839956134665064 y[1] (numeric) = 3.3903239416229412839956134665071 absolute error = 7e-31 relative error = 2.0646994566097757646204996879842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.526 y[1] (analytic) = 3.390822296039868226440767810055 y[1] (numeric) = 3.3908222960398682264407678100557 absolute error = 7e-31 relative error = 2.0643960045252976573645158974376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 3.3913197856345711975399634177419 y[1] (numeric) = 3.3913197856345711975399634177426 absolute error = 7e-31 relative error = 2.0640931679906989150402651583299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.528 y[1] (analytic) = 3.3918164109095605607143634781479 y[1] (numeric) = 3.3918164109095605607143634781487 absolute error = 8e-31 relative error = 2.3586182242259668427814208592903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 3.3923121723682109990267124642498 y[1] (numeric) = 3.3923121723682109990267124642505 absolute error = 7e-31 relative error = 2.0634893383391723210929667570809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (analytic) = 3.3928070705147610118066950185642 y[1] (numeric) = 3.3928070705147610118066950185649 absolute error = 7e-31 relative error = 2.0631883436089253022854878876514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 3.3933011058543124104124786433371 y[1] (numeric) = 3.3933011058543124104124786433378 absolute error = 7e-31 relative error = 2.0628879612019132070081089381890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.532 y[1] (analytic) = 3.393794278892829813128944434192 y[1] (numeric) = 3.3937942788928298131289444341927 absolute error = 7e-31 relative error = 2.0625881903141271580280123776756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.533 y[1] (analytic) = 3.3942865901371401392031109589661 y[1] (numeric) = 3.3942865901371401392031109589668 absolute error = 7e-31 relative error = 2.0622890301426130889346009373306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.534 y[1] (analytic) = 3.3947780400949321020172572462665 y[1] (numeric) = 3.3947780400949321020172572462672 absolute error = 7e-31 relative error = 2.0619904798854687151814200665979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.535 y[1] (analytic) = 3.3952686292747557014002517105828 y[1] (numeric) = 3.3952686292747557014002517105835 absolute error = 7e-31 relative error = 2.0616925387418405120976128769048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 3.3957583581860217150775947025839 y[1] (numeric) = 3.3957583581860217150775947025846 absolute error = 7e-31 relative error = 2.0613952059119206998484351590484e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.537 y[1] (analytic) = 3.3962472273390011892606832345142 y[1] (numeric) = 3.3962472273390011892606832345149 absolute error = 7e-31 relative error = 2.0610984805969442353244352478595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 3.3967352372448249283758072913827 y[1] (numeric) = 3.3967352372448249283758072913833 absolute error = 6e-31 relative error = 1.7664020245707306950905546443449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.539 y[1] (analytic) = 3.3972223884154829839333879989048 y[1] (numeric) = 3.3972223884154829839333879989054 absolute error = 6e-31 relative error = 1.7661487279902487374119041136735e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 3.3977086813638241425379687789178 y[1] (numeric) = 3.3977086813638241425379687789184 absolute error = 6e-31 relative error = 1.7658959500882307749997115559134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.541 y[1] (analytic) = 3.3981941166035554130394714822349 y[1] (numeric) = 3.3981941166035554130394714822355 absolute error = 6e-31 relative error = 1.7656436901835704883230745063639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 3.3986786946492415128262303476392 y[1] (numeric) = 3.3986786946492415128262303476397 absolute error = 5e-31 relative error = 1.4711599563300354406325992101443e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.543 y[1] (analytic) = 3.3991624160163043532603174939409 y[1] (numeric) = 3.3991624160163043532603174939415 absolute error = 6e-31 relative error = 1.7651407216462999754819914950907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 3.3996452812210225242556745097304 y[1] (numeric) = 3.399645281221022524255674509731 absolute error = 6e-31 relative error = 1.7648900116558717981701669208029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.545 y[1] (analytic) = 3.4001272907805307779995655626503 y[1] (numeric) = 3.4001272907805307779995655626509 absolute error = 6e-31 relative error = 1.7646398169471603255151138743633e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.546 y[1] (analytic) = 3.4006084452128195118178683066931 y[1] (numeric) = 3.4006084452128195118178683066937 absolute error = 6e-31 relative error = 1.7643901368434387195144184012601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.547 y[1] (analytic) = 3.4010887450367342501847197221881 y[1] (numeric) = 3.4010887450367342501847197221887 absolute error = 6e-31 relative error = 1.7641409706688484555325345453812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.548 y[1] (analytic) = 3.4015681907719751258770348787904 y[1] (numeric) = 3.401568190771975125877034878791 absolute error = 6e-31 relative error = 1.7638923177483968081123919995301e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 3.4020467829390963602744174669085 y[1] (numeric) = 3.4020467829390963602744174669091 absolute error = 6e-31 relative error = 1.7636441774079543425211549822245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = 3.4025245220595057428049817976178 y[1] (numeric) = 3.4025245220595057428049817976184 absolute error = 6e-31 relative error = 1.7633965489742524120134895672683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 3.4030014086554641095376068251937 y[1] (numeric) = 3.4030014086554641095376068251943 absolute error = 6e-31 relative error = 1.7631494317748806607957596210115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=61.0MB, alloc=4.3MB, time=2.88 TOP MAIN SOLVE Loop x[1] = 0.552 y[1] (analytic) = 3.4034774432500848209211435999679 y[1] (numeric) = 3.4034774432500848209211435999685 absolute error = 6e-31 relative error = 1.7629028251382845326746342072924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.553 y[1] (analytic) = 3.4039526263673332386710984122557 y[1] (numeric) = 3.4039526263673332386710984122563 absolute error = 6e-31 relative error = 1.7626567283937627853736518027757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.554 y[1] (analytic) = 3.4044269585320262018043147406284 y[1] (numeric) = 3.404426958532026201804314740629 absolute error = 6e-31 relative error = 1.7624111408714650105013489267253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 3.404900440269831501822177969805 y[1] (numeric) = 3.4049004402698315018221779698056 absolute error = 6e-31 relative error = 1.7621660619023891591546228301656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.556 y[1] (analytic) = 3.4053730721072673570428676949146 y[1] (numeric) = 3.4053730721072673570428676949152 absolute error = 6e-31 relative error = 1.7619214908183790731410597108487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.557 y[1] (analytic) = 3.4058448545717018860831832798337 y[1] (numeric) = 3.4058448545717018860831832798343 absolute error = 6e-31 relative error = 1.7616774269521220218040215234213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.558 y[1] (analytic) = 3.4063157881913525804904691877283 y[1] (numeric) = 3.4063157881913525804904691877289 absolute error = 6e-31 relative error = 1.7614338696371462444343458396383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 3.4067858734952857765251674518325 y[1] (numeric) = 3.4067858734952857765251674518331 absolute error = 6e-31 relative error = 1.7611908182078184982525743823398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = 3.4072551110134161260945255038663 y[1] (numeric) = 3.4072551110134161260945255038669 absolute error = 6e-31 relative error = 1.7609482719993416119456868101603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 3.407723501276506066837988426341 y[1] (numeric) = 3.4077235012765060668379884263416 absolute error = 6e-31 relative error = 1.7607062303477520447423770685047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.562 y[1] (analytic) = 3.4081910448161652913648055433158 y[1] (numeric) = 3.4081910448161652913648055433163 absolute error = 5e-31 relative error = 1.4670539104915978758424751226233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 3.4086577421648502156443821119545 y[1] (numeric) = 3.408657742164850215644382111955 absolute error = 5e-31 relative error = 1.4668530483862785419701144973623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.564 y[1] (analytic) = 3.4091235938558634465499077244872 y[1] (numeric) = 3.4091235938558634465499077244878 absolute error = 6e-31 relative error = 1.7599831261071252032546286573939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.565 y[1] (analytic) = 3.4095886004233532485557938769029 y[1] (numeric) = 3.4095886004233532485557938769035 absolute error = 6e-31 relative error = 1.7597430960600369920462993390771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 3.4100527624023130095894540068917 y[1] (numeric) = 3.4100527624023130095894540068923 absolute error = 6e-31 relative error = 1.7595035672624378075447702779879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.567 y[1] (analytic) = 3.4105160803285807060379601492125 y[1] (numeric) = 3.4105160803285807060379601492131 absolute error = 6e-31 relative error = 1.7592645390553149409721176565267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.568 y[1] (analytic) = 3.410978554738838366910111201784 y[1] (numeric) = 3.4109785547388383669101112017846 absolute error = 6e-31 relative error = 1.7590260107804723813700495416248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.569 y[1] (analytic) = 3.4114401861706115371544486403868 y[1] (numeric) = 3.4114401861706115371544486403875 absolute error = 7e-31 relative error = 2.0519193120772831548187654227974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = 3.411900975162268740133756363916 y[1] (numeric) = 3.4119009751622687401337563639167 absolute error = 7e-31 relative error = 2.0516421932987321257435257465307e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.571 y[1] (analytic) = 3.412360922253020939256582195639 y[1] (numeric) = 3.4123609222530209392565821956397 absolute error = 7e-31 relative error = 2.0513656554765110321740575782666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 3.4128200279829209987663194088936 y[1] (numeric) = 3.4128200279829209987663194088943 absolute error = 7e-31 relative error = 2.0510896978465078802215438882609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.573 y[1] (analytic) = 3.4132782928928631436883874880982 y[1] (numeric) = 3.4132782928928631436883874880989 absolute error = 7e-31 relative error = 2.0508143196455495693405690365840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 3.4137357175245824189360521778498 y[1] (numeric) = 3.4137357175245824189360521778505 absolute error = 7e-31 relative error = 2.0505395201113991269219247041873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.575 y[1] (analytic) = 3.4141923024206541475754257142438 y[1] (numeric) = 3.4141923024206541475754257142445 absolute error = 7e-31 relative error = 2.0502652984827529490936277643270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 3.4146480481244933882501889733704 y[1] (numeric) = 3.4146480481244933882501889733711 absolute error = 7e-31 relative error = 2.0499916539992380477125605650969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.577 y[1] (analytic) = 3.4151029551803543917665781122205 y[1] (numeric) = 3.4151029551803543917665781122212 absolute error = 7e-31 relative error = 2.0497185859014093035292110936833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 3.415557024133330056839179116969 y[1] (numeric) = 3.4155570241333300568391791169697 absolute error = 7e-31 relative error = 2.0494460934307467255080572602981e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.579 y[1] (analytic) = 3.4160102555293513849980745127954 y[1] (numeric) = 3.4160102555293513849980745127961 absolute error = 7e-31 relative error = 2.0491741758296527162862060755788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 3.41646264991518693465788732805 y[1] (numeric) = 3.4164626499151869346578873280507 absolute error = 7e-31 relative error = 2.0489028323414493437529648005735e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=3.06 x[1] = 0.581 y[1] (analytic) = 3.4169142078384422743492682436758 y[1] (numeric) = 3.4169142078384422743492682436765 absolute error = 7e-31 relative error = 2.0486320622103756187330872242556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.582 y[1] (analytic) = 3.4173649298475594351133726963536 y[1] (numeric) = 3.4173649298475594351133726963543 absolute error = 7e-31 relative error = 2.0483618646815847787565040708316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 3.417814816491816362059875540848 y[1] (numeric) = 3.4178148164918163620598755408487 absolute error = 7e-31 relative error = 2.0480922390011415778974121589140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.584 y[1] (analytic) = 3.4182638683213263650890717134926 y[1] (numeric) = 3.4182638683213263650890717134933 absolute error = 7e-31 relative error = 2.0478231844160195826656623279053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 3.4187120858870375687786121746697 y[1] (numeric) = 3.4187120858870375687786121746704 absolute error = 7e-31 relative error = 2.0475547001740984739334513146730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.586 y[1] (analytic) = 3.4191594697407323614354252435016 y[1] (numeric) = 3.4191594697407323614354252435022 absolute error = 6e-31 relative error = 1.7548172447349954470403323200776e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.587 y[1] (analytic) = 3.4196060204350268433133742727858 y[1] (numeric) = 3.4196060204350268433133742727865 absolute error = 7e-31 relative error = 2.0470194397158920649400668179199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.588 y[1] (analytic) = 3.4200517385233702739972034464729 y[1] (numeric) = 3.4200517385233702739972034464735 absolute error = 6e-31 relative error = 1.7543594245713192854840175675294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 3.4204966245600445189533243156914 y[1] (numeric) = 3.420496624560044518953324315692 absolute error = 6e-31 relative error = 1.7541312442522113745351189805047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (analytic) = 3.4209406791001634952479965224907 y[1] (numeric) = 3.4209406791001634952479965224913 absolute error = 6e-31 relative error = 1.7539035495869008870777639754127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 3.4213839026996726164334569930729 y[1] (numeric) = 3.4213839026996726164334569930735 absolute error = 6e-31 relative error = 1.7536763399353250031337765413721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.592 y[1] (analytic) = 3.4218262959153482366025527143388 y[1] (numeric) = 3.4218262959153482366025527143394 absolute error = 6e-31 relative error = 1.7534496146581815273738809033209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.593 y[1] (analytic) = 3.4222678593047970936124330390686 y[1] (numeric) = 3.4222678593047970936124330390692 absolute error = 6e-31 relative error = 1.7532233731169266173506071253942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.594 y[1] (analytic) = 3.4227085934264557514778582959995 y[1] (numeric) = 3.4227085934264557514778582960002 absolute error = 7e-31 relative error = 2.0451638837860679362383092443327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 3.4231484988395900419346823114442 y[1] (numeric) = 3.4231484988395900419346823114449 absolute error = 7e-31 relative error = 2.0449010618069661761326291381271e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 3.423587576104294505174067278921 y[1] (numeric) = 3.4235875761042945051740672789217 absolute error = 7e-31 relative error = 2.0446388019567796818906962638920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.597 y[1] (analytic) = 3.4240258257814918297479902425356 y[1] (numeric) = 3.4240258257814918297479902425363 absolute error = 7e-31 relative error = 2.0443771034940532309494295138516e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 3.4244632484329322916466012885597 y[1] (numeric) = 3.4244632484329322916466012885603 absolute error = 6e-31 relative error = 1.7520993991527455843591429502900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.599 y[1] (analytic) = 3.4248998446211931925479943678021 y[1] (numeric) = 3.4248998446211931925479943678027 absolute error = 6e-31 relative error = 1.7518760466595841643616757888733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 3.4253356149096782972409524989554 y[1] (numeric) = 3.425335614909678297240952498956 absolute error = 6e-31 relative error = 1.7516531734535485210460504566841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.601 y[1] (analytic) = 3.4257705598626172702212299301249 y[1] (numeric) = 3.4257705598626172702212299301256 absolute error = 7e-31 relative error = 2.0433359087190938627818708494265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.602 y[1] (analytic) = 3.4262046800450651114619346622117 y[1] (numeric) = 3.4262046800450651114619346622124 absolute error = 7e-31 relative error = 2.0430770061022532101014718697572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.603 y[1] (analytic) = 3.4266379760229015913585755637194 y[1] (numeric) = 3.4266379760229015913585755637201 absolute error = 7e-31 relative error = 2.0428186604423531322641468608829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.604 y[1] (analytic) = 3.4270704483628306848493391318916 y[1] (numeric) = 3.4270704483628306848493391318923 absolute error = 7e-31 relative error = 2.0425608710039847538982255459031e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.605 y[1] (analytic) = 3.427502097632380004711161779855 y[1] (numeric) = 3.4275020976323800047111617798556 absolute error = 6e-31 relative error = 1.7505459746165079380037232463502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 3.4279329243999002340321643536487 y[1] (numeric) = 3.4279329243999002340321643536493 absolute error = 6e-31 relative error = 1.7503259638752617078378133378323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.607 y[1] (analytic) = 3.4283629292345645578610164066595 y[1] (numeric) = 3.4283629292345645578610164066601 absolute error = 6e-31 relative error = 1.7501064280086570319767993918866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 3.4287921127063680940337985820488 y[1] (numeric) = 3.4287921127063680940337985820494 absolute error = 6e-31 relative error = 1.7498873663892561463725735968679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.609 y[1] (analytic) = 3.4292204753861273231789322762638 y[1] (numeric) = 3.4292204753861273231789322762645 absolute error = 7e-31 relative error = 2.0412802414554012962694623341431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (analytic) = 3.4296480178454795179007465786548 y[1] (numeric) = 3.4296480178454795179007465786555 absolute error = 7e-31 relative error = 2.0410257739502468928191318509279e-29 % Correct digits = 30 h = 0.001 memory used=68.6MB, alloc=4.3MB, time=3.25 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.611 y[1] (analytic) = 3.4300747406568821711422533035835 y[1] (numeric) = 3.4300747406568821711422533035842 absolute error = 7e-31 relative error = 2.0407718575425133014481966066875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.612 y[1] (analytic) = 3.4305006443936124237277017522008 y[1] (numeric) = 3.4305006443936124237277017522015 absolute error = 7e-31 relative error = 2.0405184915035470172318367487203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 3.4309257296297664910854856612912 y[1] (numeric) = 3.4309257296297664910854856612919 absolute error = 7e-31 relative error = 2.0402656751055274868955440566541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.614 y[1] (analytic) = 3.4313499969402590891519756162284 y[1] (numeric) = 3.4313499969402590891519756162291 absolute error = 7e-31 relative error = 2.0400134076214645786579282434959e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 3.4317734469008228594568510241632 y[1] (numeric) = 3.4317734469008228594568510241639 absolute error = 7e-31 relative error = 2.0397616883251960576282059003004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.616 y[1] (analytic) = 3.4321960800880077933905065620621 y[1] (numeric) = 3.4321960800880077933905065620628 absolute error = 7e-31 relative error = 2.0395105164913850667432907436565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.617 y[1] (analytic) = 3.4326178970791806556541088321442 y[1] (numeric) = 3.4326178970791806556541088321449 absolute error = 7e-31 relative error = 2.0392598913955176132294622669798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.618 y[1] (analytic) = 3.4330388984525244068928797746095 y[1] (numeric) = 3.4330388984525244068928797746102 absolute error = 7e-31 relative error = 2.0390098123139000605736481427715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 3.4334590847870376255131842043293 y[1] (numeric) = 3.4334590847870376255131842043299 absolute error = 6e-31 relative error = 1.7475088101631342508480689494520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = 3.4338784566625339286839996543607 y[1] (numeric) = 3.4338784566625339286839996543613 absolute error = 6e-31 relative error = 1.7472953908309087571681230740420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.621 y[1] (analytic) = 3.4342970146596413925233475247695 y[1] (numeric) = 3.4342970146596413925233475247701 absolute error = 6e-31 relative error = 1.7470824376541685185685339778519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.622 y[1] (analytic) = 3.4347147593598019714702653502798 y[1] (numeric) = 3.4347147593598019714702653502804 absolute error = 6e-31 relative error = 1.7468699500153959504042462606607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 3.4351316913452709168429008147311 y[1] (numeric) = 3.4351316913452709168429008147317 absolute error = 6e-31 relative error = 1.7466579272977659522372528322791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.624 y[1] (analytic) = 3.4355478111991161945833089542001 y[1] (numeric) = 3.4355478111991161945833089542007 absolute error = 6e-31 relative error = 1.7464463688851437861662616638098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.625 y[1] (analytic) = 3.4359631195052179021895348039411 y[1] (numeric) = 3.4359631195052179021895348039417 absolute error = 6e-31 relative error = 1.7462352741620829597904846657876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.626 y[1] (analytic) = 3.436377616848267684835564557014 y[1] (numeric) = 3.4363776168482676848355645570146 absolute error = 6e-31 relative error = 1.7460246425138231137951152986202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.627 y[1] (analytic) = 3.4367913038137681506797291146007 y[1] (numeric) = 3.4367913038137681506797291146012 absolute error = 5e-31 relative error = 1.4548453944385732617884249738723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 3.4372041809880322853621447195559 y[1] (numeric) = 3.4372041809880322853621447195564 absolute error = 5e-31 relative error = 1.4546706383217357907349471252978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.629 y[1] (analytic) = 3.4376162489581828656917761757053 y[1] (numeric) = 3.4376162489581828656917761757058 absolute error = 5e-31 relative error = 1.4544962665670780245750012521092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 3.4380275083121518725237089657771 y[1] (numeric) = 3.4380275083121518725237089657775 absolute error = 4e-31 relative error = 1.1634578229316553979036766759670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.631 y[1] (analytic) = 3.4384379596386799028272173906462 y[1] (numeric) = 3.4384379596386799028272173906466 absolute error = 4e-31 relative error = 1.1633189392837934211804009490719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 3.4388476035273155809452166617754 y[1] (numeric) = 3.4388476035273155809452166617758 absolute error = 4e-31 relative error = 1.1631803619029513799943398743936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.633 y[1] (analytic) = 3.4392564405684149690456876873498 y[1] (numeric) = 3.4392564405684149690456876873503 absolute error = 5e-31 relative error = 1.4538026129780647681931892923511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 3.4396644713531409767656641006336 y[1] (numeric) = 3.439664471353140976765664100634 absolute error = 4e-31 relative error = 1.1629041243160635308530958314419e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.635 y[1] (analytic) = 3.4400716964734627700483718865097 y[1] (numeric) = 3.4400716964734627700483718865101 absolute error = 4e-31 relative error = 1.1627664632980002197511119178419e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 3.4404781165221551791741127690167 y[1] (numeric) = 3.4404781165221551791741127690171 absolute error = 4e-31 relative error = 1.1626291069229190790648890370453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.637 y[1] (analytic) = 3.4408837320927981059854833289476 y[1] (numeric) = 3.4408837320927981059854833289481 absolute error = 5e-31 relative error = 1.4531150684823992983049935394423e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 3.4412885437797759303075226262437 y[1] (numeric) = 3.4412885437797759303075226262442 absolute error = 5e-31 relative error = 1.4529441331031767355419383615142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.639 y[1] (analytic) = 3.4416925521782769155633819069852 y[1] (numeric) = 3.4416925521782769155633819069856 absolute error = 4e-31 relative error = 1.1622188616087644095127775566407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=72.4MB, alloc=4.3MB, time=3.44 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 3.4420957578842926135861107792603 y[1] (numeric) = 3.4420957578842926135861107792608 absolute error = 5e-31 relative error = 1.4526033997012575101274572316985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.641 y[1] (analytic) = 3.442498161494617268627155046077 y[1] (numeric) = 3.4424981614946172686271550460775 absolute error = 5e-31 relative error = 1.4524336006701504406625668951631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 3.4428997636068472205621621867689 y[1] (numeric) = 3.4428997636068472205621621867694 absolute error = 5e-31 relative error = 1.4522641794142461414437860570974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 3.4433005648193803072946912810412 y[1] (numeric) = 3.4433005648193803072946912810416 absolute error = 4e-31 relative error = 1.1616761083445591052294016579072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.644 y[1] (analytic) = 3.4437005657314152663584249718963 y[1] (numeric) = 3.4437005657314152663584249718967 absolute error = 4e-31 relative error = 1.1615411745737629347030215397488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 3.4440997669429511357184818651779 y[1] (numeric) = 3.4440997669429511357184818651783 absolute error = 4e-31 relative error = 1.1614065418175956469555486399744e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.646 y[1] (analytic) = 3.4444981690547866537724285643704 y[1] (numeric) = 3.4444981690547866537724285643708 absolute error = 4e-31 relative error = 1.1612722096750743784509146683527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 3.4448957726685196585515913395922 y[1] (numeric) = 3.4448957726685196585515913395926 absolute error = 4e-31 relative error = 1.1611381777456448113061414726720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.648 y[1] (analytic) = 3.4452925783865464861232682294208 y[1] (numeric) = 3.4452925783865464861232682294212 absolute error = 4e-31 relative error = 1.1610044456291798307669147728889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 3.445688586812061368194443173288 y[1] (numeric) = 3.4456885868120613681944431732883 absolute error = 3e-31 relative error = 8.7065325969448363918675550654067e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (analytic) = 3.4460837985490558289176045706799 y[1] (numeric) = 3.4460837985490558289176045706802 absolute error = 3e-31 relative error = 8.7055340942757236345350690234214e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 3.4464782142023180808992714612743 y[1] (numeric) = 3.4464782142023180808992714612746 absolute error = 3e-31 relative error = 8.7045378312201089720488919475832e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.652 y[1] (analytic) = 3.4468718343774324204118313174373 y[1] (numeric) = 3.4468718343774324204118313174376 absolute error = 3e-31 relative error = 8.7035438047897548823098489806114e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 3.4472646596807786218092942371924 y[1] (numeric) = 3.4472646596807786218092942371927 absolute error = 3e-31 relative error = 8.7025520119995778470478111174597e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.654 y[1] (analytic) = 3.4476566907195313311475691218565 y[1] (numeric) = 3.4476566907195313311475691218568 absolute error = 3e-31 relative error = 8.7015624498676384125076663099292e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 3.4480479281016594590098682180164 y[1] (numeric) = 3.4480479281016594590098682180167 absolute error = 3e-31 relative error = 8.7005751154151312715430955640748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.656 y[1] (analytic) = 3.448438372435925572537847198391 y[1] (numeric) = 3.4484383724359255725378471983913 absolute error = 3e-31 relative error = 8.6995900056663753670629181727619e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.657 y[1] (analytic) = 3.4488280243318852866690887503875 y[1] (numeric) = 3.4488280243318852866690887503878 absolute error = 3e-31 relative error = 8.6986071176488040167749897826959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.658 y[1] (analytic) = 3.4492168843998866545815384348186 y[1] (numeric) = 3.4492168843998866545815384348189 absolute error = 3e-31 relative error = 8.6976264483929550591728558443354e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.659 y[1] (analytic) = 3.4496049532510695573455023702928 y[1] (numeric) = 3.4496049532510695573455023702932 absolute error = 4e-31 relative error = 1.1595530659909948027614108183075e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 3.4499922314973650927838170912302 y[1] (numeric) = 3.4499922314973650927838170912306 absolute error = 4e-31 relative error = 1.1594229005738719072148524674861e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.661 y[1] (analytic) = 3.4503787197514949635408027192822 y[1] (numeric) = 3.4503787197514949635408027192826 absolute error = 4e-31 relative error = 1.1592930298063309863674662245880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 3.4507644186269708643606113791516 y[1] (numeric) = 3.450764418626970864360611379152 absolute error = 4e-31 relative error = 1.1591634532940864141462164176278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.663 y[1] (analytic) = 3.4511493287380938685755835804134 y[1] (numeric) = 3.4511493287380938685755835804139 absolute error = 5e-31 relative error = 1.4487927133040749668405188610147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.664 y[1] (analytic) = 3.4515334506999538138052260769289 y[1] (numeric) = 3.4515334506999538138052260769294 absolute error = 5e-31 relative error = 1.4486314768254744490445868872739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.665 y[1] (analytic) = 3.4519167851284286868664255048233 y[1] (numeric) = 3.4519167851284286868664255048237 absolute error = 4e-31 relative error = 1.1587764853523778840498619841663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 3.452299332640184007895512888763 y[1] (numeric) = 3.4522993326401840078955128887635 absolute error = 5e-31 relative error = 1.4483101024082389834801071224463e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.667 y[1] (analytic) = 3.4526810938526722136827948944167 y[1] (numeric) = 3.4526810938526722136827948944171 absolute error = 4e-31 relative error = 1.1585199707907579438614887282683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.668 y[1] (analytic) = 3.4530620693841320402201684925159 y[1] (numeric) = 3.4530620693841320402201684925164 absolute error = 5e-31 relative error = 1.4479901894412719791487582198070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=3.62 x[1] = 0.669 y[1] (analytic) = 3.4534422598535879044624364868518 y[1] (numeric) = 3.4534422598535879044624364868523 absolute error = 5e-31 relative error = 1.4478307797773865020262396950594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 3.4538216658808492853029421448381 y[1] (numeric) = 3.4538216658808492853029421448386 absolute error = 5e-31 relative error = 1.4476717340079628540247213243432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.671 y[1] (analytic) = 3.4542002880865101037641419549564 y[1] (numeric) = 3.4542002880865101037641419549569 absolute error = 5e-31 relative error = 1.4475130516446692785702963522540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.672 y[1] (analytic) = 3.4545781270919481024037363204577 y[1] (numeric) = 3.4545781270919481024037363204582 absolute error = 5e-31 relative error = 1.4473547321996688132418006517467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.673 y[1] (analytic) = 3.4549551835193242239369787831393 y[1] (numeric) = 3.4549551835193242239369787831398 absolute error = 5e-31 relative error = 1.4471967751856176994706419420639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.674 y[1] (analytic) = 3.4553314579915819890757851548342 y[1] (numeric) = 3.4553314579915819890757851548347 absolute error = 5e-31 relative error = 1.4470391801156637956398278913790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 3.455706951132446873585264717454 y[1] (numeric) = 3.4557069511324468735852647174545 absolute error = 5e-31 relative error = 1.4468819465034449935736626856309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.676 y[1] (analytic) = 3.4560816635664256845582964350008 y[1] (numeric) = 3.4560816635664256845582964350013 absolute error = 5e-31 relative error = 1.4467250738630876384096160782465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 3.4564555959188059359087739029204 y[1] (numeric) = 3.4564555959188059359087739029209 absolute error = 5e-31 relative error = 1.4465685617092049518439032596477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.678 y[1] (analytic) = 3.4568287488156552230841435414996 y[1] (numeric) = 3.4568287488156552230841435415001 absolute error = 5e-31 relative error = 1.4464124095568954587423481010702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.679 y[1] (analytic) = 3.457201122883820596997861320718 y[1] (numeric) = 3.4572011228838205969978613207185 absolute error = 5e-31 relative error = 1.4462566169217414171081364347408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = 3.4575727187509279371823940840443 y[1] (numeric) = 3.4575727187509279371823940840448 absolute error = 5e-31 relative error = 1.4461011833198072513981000322964e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 3.4579435370453813241633923181245 y[1] (numeric) = 3.4579435370453813241633923181249 absolute error = 4e-31 relative error = 1.1567568866141103913433646687529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.682 y[1] (analytic) = 3.458313578396362411055661994136 y[1] (numeric) = 3.4583135783963624110556619941365 absolute error = 5e-31 relative error = 1.4457913912822577011169587826540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 3.4586828434338297943815638847851 y[1] (numeric) = 3.4586828434338297943815638847855 absolute error = 4e-31 relative error = 1.1565096255049343554299681929816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.684 y[1] (analytic) = 3.4590513327885183841124695384931 y[1] (numeric) = 3.4590513327885183841124695384936 absolute error = 5e-31 relative error = 1.4454830295823462088048976554673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 3.4594190470919387729339038692666 y[1] (numeric) = 3.459419047091938772933903869267 absolute error = 4e-31 relative error = 1.1562635071233954942050195639679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.686 y[1] (analytic) = 3.4597859869763766047350050970526 y[1] (numeric) = 3.459785986976376604735005097053 absolute error = 4e-31 relative error = 1.1561408754926297043481781262528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.687 y[1] (analytic) = 3.4601521530748919423229335490696 y[1] (numeric) = 3.46015215307489194232293354907 absolute error = 4e-31 relative error = 1.1560185283890963990934190785811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.688 y[1] (analytic) = 3.4605175460213186343628616076503 y[1] (numeric) = 3.4605175460213186343628616076507 absolute error = 4e-31 relative error = 1.1558964654286881820919978926826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 3.4608821664502636815441778645549 y[1] (numeric) = 3.4608821664502636815441778645553 absolute error = 4e-31 relative error = 1.1557746862276722294923580756287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (analytic) = 3.4612460149971066019735393154978 y[1] (numeric) = 3.4612460149971066019735393154981 absolute error = 3e-31 relative error = 8.6673989280201679726463711093535e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.691 y[1] (analytic) = 3.4616090922979987957954062017814 y[1] (numeric) = 3.4616090922979987957954062017817 absolute error = 3e-31 relative error = 8.6664898317806349424610993374806e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 3.4619713989898629090406948784514 y[1] (numeric) = 3.4619713989898629090406948784517 absolute error = 3e-31 relative error = 8.6655828551193191996724925899902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.693 y[1] (analytic) = 3.4623329357103921967041848602655 y[1] (numeric) = 3.4623329357103921967041848602658 absolute error = 3e-31 relative error = 8.6646779951693699165522967968908e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 3.4626937030980498850513169680168 y[1] (numeric) = 3.4626937030980498850513169680171 absolute error = 3e-31 relative error = 8.6637752490666997446290053958459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.695 y[1] (analytic) = 3.4630537017920685331550202683599 y[1] (numeric) = 3.4630537017920685331550202683602 absolute error = 3e-31 relative error = 8.6628746139499757100713756031112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.696 y[1] (analytic) = 3.4634129324324493936632062702603 y[1] (numeric) = 3.4634129324324493936632062702606 absolute error = 3e-31 relative error = 8.6619760869606101283878592624461e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.697 y[1] (analytic) = 3.4637713956599617727975696105186 y[1] (numeric) = 3.4637713956599617727975696105189 absolute error = 3e-31 relative error = 8.6610796652427515383951639075438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 3.4641290921161423895843352295162 y[1] (numeric) = 3.4641290921161423895843352295165 absolute error = 3e-31 relative error = 8.6601853459432756554093524858515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=80.1MB, alloc=4.3MB, time=3.80 TOP MAIN SOLVE Loop x[1] = 0.699 y[1] (analytic) = 3.464486022443294734317592806382 y[1] (numeric) = 3.4644860224432947343175928063823 absolute error = 3e-31 relative error = 8.6592931262117763436130824062689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 3.4648421872844884262558599901919 y[1] (numeric) = 3.4648421872844884262558599901922 absolute error = 3e-31 relative error = 8.6584030032005566075527761925502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.701 y[1] (analytic) = 3.4651975872835585705525167305838 y[1] (numeric) = 3.4651975872835585705525167305842 absolute error = 4e-31 relative error = 1.1543353298752826136959609400924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.702 y[1] (analytic) = 3.4655522230851051144207537773021 y[1] (numeric) = 3.4655522230851051144207537773024 absolute error = 3e-31 relative error = 8.6566290359616596651691730945769e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.703 y[1] (analytic) = 3.4659060953344922025336791836665 y[1] (numeric) = 3.4659060953344922025336791836668 absolute error = 3e-31 relative error = 8.6557451860520533601321238220190e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 3.4662592046778475316602274138083 y[1] (numeric) = 3.4662592046778475316602274138086 absolute error = 3e-31 relative error = 8.6548634214988505495737916955830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.705 y[1] (analytic) = 3.4666115517620617045375164177085 y[1] (numeric) = 3.4666115517620617045375164177088 absolute error = 3e-31 relative error = 8.6539837394677654786540703613199e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.706 y[1] (analytic) = 3.4669631372347875829802988016283 y[1] (numeric) = 3.4669631372347875829802988016286 absolute error = 3e-31 relative error = 8.6531061371271678810445691364480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.707 y[1] (analytic) = 3.4673139617444396402281539844266 y[1] (numeric) = 3.4673139617444396402281539844269 absolute error = 3e-31 relative error = 8.6522306116480741030574609161565e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.708 y[1] (analytic) = 3.4676640259401933125310689925183 y[1] (numeric) = 3.4676640259401933125310689925186 absolute error = 3e-31 relative error = 8.6513571602041382465414275925687e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 3.4680133304719843499740563078382 y[1] (numeric) = 3.4680133304719843499740563078385 absolute error = 3e-31 relative error = 8.6504857799716433305001934477419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = 3.4683618759905081665414579441396 y[1] (numeric) = 3.4683618759905081665414579441398 absolute error = 2e-31 relative error = 5.7664109787529949809262151864750e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 3.4687096631472191894215856872678 y[1] (numeric) = 3.468709663147219189421585687268 absolute error = 2e-31 relative error = 5.7658328145728000546980954988868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.712 y[1] (analytic) = 3.4690566925943302075523481947161 y[1] (numeric) = 3.4690566925943302075523481947163 absolute error = 2e-31 relative error = 5.7652560255632553928105607254807e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.713 y[1] (analytic) = 3.4694029649848117194085164087805 y[1] (numeric) = 3.4694029649848117194085164087807 absolute error = 2e-31 relative error = 5.7646806098488347797393056213219e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.714 y[1] (analytic) = 3.4697484809723912800312794959955 y[1] (numeric) = 3.4697484809723912800312794959957 absolute error = 2e-31 relative error = 5.7641065655557353363211376799100e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 3.4700932412115528473007442832391 y[1] (numeric) = 3.4700932412115528473007442832393 absolute error = 2e-31 relative error = 5.7635338908118717017737943633471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.716 y[1] (analytic) = 3.4704372463575361274520319179542 y[1] (numeric) = 3.4704372463575361274520319179544 absolute error = 2e-31 relative error = 5.7629625837468702279932215320865e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 3.4707804970663359198356262363344 y[1] (numeric) = 3.4707804970663359198356262363346 absolute error = 2e-31 relative error = 5.7623926424920631860996204227021e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.718 y[1] (analytic) = 3.4711229939947014609226290790717 y[1] (numeric) = 3.4711229939947014609226290790719 absolute error = 2e-31 relative error = 5.7618240651804829852036913922405e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.719 y[1] (analytic) = 3.4714647378001357675555785493558 y[1] (numeric) = 3.4714647378001357675555785493559 absolute error = 1e-31 relative error = 2.8806284249734282016823115751118e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = 3.471805729140894979445486962252 y[1] (numeric) = 3.4718057291408949794454869622521 absolute error = 1e-31 relative error = 2.8803454974637994153557481678468e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.721 y[1] (analytic) = 3.4721459686759877009157559883658 y[1] (numeric) = 3.472145968675987700915755988366 absolute error = 2e-31 relative error = 5.7601264982608085246998900683086e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 3.472485457065174341893627247823 y[1] (numeric) = 3.4724854570651743418936272478232 absolute error = 2e-31 relative error = 5.7595633580862608774755995108571e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.723 y[1] (analytic) = 3.4728241949689664581498273630602 y[1] (numeric) = 3.4728241949689664581498273630604 absolute error = 2e-31 relative error = 5.7590015725454026953174915270878e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.724 y[1] (analytic) = 3.4731621830486260907870672307261 y[1] (numeric) = 3.4731621830486260907870672307262 absolute error = 1e-31 relative error = 2.8792205698906732450658221024490e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.725 y[1] (analytic) = 3.4734994219661651049780560241387 y[1] (numeric) = 3.4734994219661651049780560241388 absolute error = 1e-31 relative error = 2.8789410289694323914845171710586e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.726 y[1] (analytic) = 3.4738359123843445279536911882302 y[1] (numeric) = 3.4738359123843445279536911882303 absolute error = 1e-31 relative error = 2.8786621625821922097695774808855e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.727 y[1] (analytic) = 3.4741716549666738862420864387327 y[1] (numeric) = 3.4741716549666738862420864387328 absolute error = 1e-31 relative error = 2.8783839698029904488460312686203e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=3.99 x[1] = 0.728 y[1] (analytic) = 3.4745066503774105421591005265237 y[1] (numeric) = 3.4745066503774105421591005265238 absolute error = 1e-31 relative error = 2.8781064497066863534207354332713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.729 y[1] (analytic) = 3.4748408992815590295510302765453 y[1] (numeric) = 3.4748408992815590295510302765454 absolute error = 1e-31 relative error = 2.8778296013689578396508127202268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = 3.4751744023448703887901321585503 y[1] (numeric) = 3.4751744023448703887901321585504 absolute error = 1e-31 relative error = 2.8775534238662986767554043513814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.731 y[1] (analytic) = 3.4755071602338415010236373940972 y[1] (numeric) = 3.4755071602338415010236373940972 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 3.4758391736157144216769263507235 y[1] (numeric) = 3.4758391736157144216769263507236 absolute error = 1e-31 relative error = 2.8770030776762258769404361518549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.733 y[1] (analytic) = 3.4761704431584757132115287200688 y[1] (numeric) = 3.4761704431584757132115287200689 absolute error = 1e-31 relative error = 2.8767289071458537612115123914494e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.734 y[1] (analytic) = 3.4765009695308557771386167218896 y[1] (numeric) = 3.4765009695308557771386167218897 absolute error = 1e-31 relative error = 2.8764554037646284433496312435108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.735 y[1] (analytic) = 3.4768307534023281852886593204188 y[1] (numeric) = 3.4768307534023281852886593204189 absolute error = 1e-31 relative error = 2.8761825666130808891334264678077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.736 y[1] (analytic) = 3.4771597954431090103379061833593 y[1] (numeric) = 3.4771597954431090103379061833593 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 3.4774880963241561555923708569716 y[1] (numeric) = 3.4774880963241561555923708569716 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.738 y[1] (analytic) = 3.4778156567171686840299833732174 y[1] (numeric) = 3.4778156567171686840299833732174 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 3.4781424772945861466015832467493 y[1] (numeric) = 3.4781424772945861466015832467493 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = 3.4784685587295879097914245606988 y[1] (numeric) = 3.4784685587295879097914245606988 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 3.4787939016960924824378655807009 y[1] (numeric) = 3.4787939016960924824378655807008 absolute error = 1e-31 relative error = 2.8745594831370956670732047697391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.742 y[1] (analytic) = 3.4791185068687568418149160764094 y[1] (numeric) = 3.4791185068687568418149160764093 absolute error = 1e-31 relative error = 2.8742912839149319226235990291461e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 3.4794423749229757589753162689006 y[1] (numeric) = 3.4794423749229757589753162689005 absolute error = 1e-31 relative error = 2.8740237435952275247947863026701e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.744 y[1] (analytic) = 3.4797655065348811233558220608284 y[1] (numeric) = 3.4797655065348811233558220608282 absolute error = 2e-31 relative error = 5.7475137225312111027028219600513e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 3.4800879023813412666453719439904 y[1] (numeric) = 3.4800879023813412666453719439903 absolute error = 1e-31 relative error = 2.8734906360144633614397217917271e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.746 y[1] (analytic) = 3.4804095631399602859168117160826 y[1] (numeric) = 3.4804095631399602859168117160825 absolute error = 1e-31 relative error = 2.8732250669309698704930810975636e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.747 y[1] (analytic) = 3.480730489489077366022853874859 y[1] (numeric) = 3.4807304894890773660228538748589 absolute error = 1e-31 relative error = 2.8729601531050628308587671516228e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.748 y[1] (analytic) = 3.4810506821077661012569492936833 y[1] (numeric) = 3.4810506821077661012569492936831 absolute error = 2e-31 relative error = 5.7453917872548922362670284180750e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.749 y[1] (analytic) = 3.4813701416758338162797495175416 y[1] (numeric) = 3.4813701416758338162797495175414 absolute error = 2e-31 relative error = 5.7448645751791740463905808018624e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = 3.4816888688738208863118387530001 y[1] (numeric) = 3.4816888688738208863118387529999 absolute error = 2e-31 relative error = 5.7443386681674270998377364051669e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.751 y[1] (analytic) = 3.4820068643830000565934153593164 y[1] (numeric) = 3.4820068643830000565934153593163 absolute error = 1e-31 relative error = 2.8719070322028117185627970562769e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.752 y[1] (analytic) = 3.4823241288853757611116033809685 y[1] (numeric) = 3.4823241288853757611116033809683 absolute error = 2e-31 relative error = 5.7432907620812457496308845704495e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.753 y[1] (analytic) = 3.482640663063683440596075394231 y[1] (numeric) = 3.4826406630636834405960753942308 absolute error = 2e-31 relative error = 5.7427687593832820089756176981017e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 3.4829564676013888597836686721214 y[1] (numeric) = 3.4829564676013888597836686721212 absolute error = 2e-31 relative error = 5.7422480545022201076818454902069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.755 y[1] (analytic) = 3.4832715431826874239526774030409 y[1] (numeric) = 3.4832715431826874239526774030407 absolute error = 2e-31 relative error = 5.7417286456300425110711939081195e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 3.4835858904925034947275044287623 y[1] (numeric) = 3.4835858904925034947275044287621 absolute error = 2e-31 relative error = 5.7412105309602209203849255268307e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.757 y[1] (analytic) = 3.4838995102164897051543566970552 y[1] (numeric) = 3.483899510216489705154356697055 absolute error = 2e-31 relative error = 5.7406937086877109471004021583442e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=87.7MB, alloc=4.4MB, time=4.17 TOP MAIN SOLVE Loop x[1] = 0.758 y[1] (analytic) = 3.4842124030410262740486693531968 y[1] (numeric) = 3.4842124030410262740486693531966 absolute error = 2e-31 relative error = 5.7401781770089467984199239098705e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.759 y[1] (analytic) = 3.484524569653220319614944122886 y[1] (numeric) = 3.4845245696532203196149441228859 absolute error = 1e-31 relative error = 2.8698319670609179869540140293138e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = 3.484836010740905172339688366667 y[1] (numeric) = 3.4848360107409051723396883666669 absolute error = 1e-31 relative error = 2.8695754891128769866267188675785e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.761 y[1] (analytic) = 3.4851467269926396871581419128634 y[1] (numeric) = 3.4851467269926396871581419128633 absolute error = 1e-31 relative error = 2.8693196537607695075659783525763e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.762 y[1] (analytic) = 3.4854567190977075548954795022417 y[1] (numeric) = 3.4854567190977075548954795022416 absolute error = 1e-31 relative error = 2.8690644601057433835733562635022e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.763 y[1] (analytic) = 3.4857659877461166129831774031417 y[1] (numeric) = 3.4857659877461166129831774031417 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.764 y[1] (analytic) = 3.486074533628598155451233480652 y[1] (numeric) = 3.486074533628598155451233480652 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.765 y[1] (analytic) = 3.4863823574366062421969307275509 y[1] (numeric) = 3.4863823574366062421969307275508 absolute error = 1e-31 relative error = 2.8683027203455071660078143956462e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.766 y[1] (analytic) = 3.4866894598623170075308349881932 y[1] (numeric) = 3.4866894598623170075308349881931 absolute error = 1e-31 relative error = 2.8680500845047673727117808655945e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.767 y[1] (analytic) = 3.4869958415986279680007183292872 y[1] (numeric) = 3.4869958415986279680007183292872 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.768 y[1] (analytic) = 3.4873015033391573294941002335805 y[1] (numeric) = 3.4873015033391573294941002335804 absolute error = 1e-31 relative error = 2.8675467235697315934183890327106e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.769 y[1] (analytic) = 3.4876064457782432936200995138551 y[1] (numeric) = 3.4876064457782432936200995138551 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.77 y[1] (analytic) = 3.4879106696109433633712905653243 y[1] (numeric) = 3.4879106696109433633712905653243 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.771 y[1] (analytic) = 3.4882141755330336480662582945144 y[1] (numeric) = 3.4882141755330336480662582945144 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.772 y[1] (analytic) = 3.4885169642410081675735467820204 y[1] (numeric) = 3.4885169642410081675735467820204 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.773 y[1] (analytic) = 3.4888190364320781558176974551284 y[1] (numeric) = 3.4888190364320781558176974551284 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.774 y[1] (analytic) = 3.4891203928041713635680732642085 y[1] (numeric) = 3.4891203928041713635680732642085 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.775 y[1] (analytic) = 3.4894210340559313605111660739955 y[1] (numeric) = 3.4894210340559313605111660739955 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.776 y[1] (analytic) = 3.4897209608867168366070851973929 y[1] (numeric) = 3.4897209608867168366070851973929 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.777 y[1] (analytic) = 3.4900201739966009027309257152522 y[1] (numeric) = 3.4900201739966009027309257152522 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.778 y[1] (analytic) = 3.4903186740863703905997159407019 y[1] (numeric) = 3.4903186740863703905997159407019 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.779 y[1] (analytic) = 3.49061646185752515198564410102 y[1] (numeric) = 3.49061646185752515198564410102 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.78 y[1] (analytic) = 3.4909135380122773572162650237646 y[1] (numeric) = 3.4909135380122773572162650237646 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.781 y[1] (analytic) = 3.491209903253550792962388326898 y[1] (numeric) = 3.491209903253550792962388326898 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.782 y[1] (analytic) = 3.4915055582849801593143503249576 y[1] (numeric) = 3.4915055582849801593143503249576 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.783 y[1] (analytic) = 3.4918005038109103661473725749424 y[1] (numeric) = 3.4918005038109103661473725749423 absolute error = 1e-31 relative error = 2.8638520411134933308498801215703e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.784 y[1] (analytic) = 3.4920947405363958287767106964985 y[1] (numeric) = 3.4920947405363958287767106964984 absolute error = 1e-31 relative error = 2.8636107388266250601360270113886e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.785 y[1] (analytic) = 3.4923882691671997629032978111966 y[1] (numeric) = 3.4923882691671997629032978111965 absolute error = 1e-31 relative error = 2.8633700577583875755592269852638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.786 y[1] (analytic) = 3.492681090409793478850587655198 y[1] (numeric) = 3.4926810904097934788505876551978 absolute error = 2e-31 relative error = 5.7262599940532835754076704280257e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.787 y[1] (analytic) = 3.4929732049713556750933031284076 y[1] (numeric) = 3.4929732049713556750933031284075 absolute error = 1e-31 relative error = 2.8628905557499132224952794872433e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=91.5MB, alloc=4.4MB, time=4.35 TOP MAIN SOLVE Loop x[1] = 0.788 y[1] (analytic) = 3.4932646135597717310787967513083 y[1] (numeric) = 3.4932646135597717310787967513082 absolute error = 1e-31 relative error = 2.8626517330473895262043079595339e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.789 y[1] (analytic) = 3.4935553168836329993417302080539 y[1] (numeric) = 3.4935553168836329993417302080537 absolute error = 2e-31 relative error = 5.7248270560778359513816423852796e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = 3.493845315652236096912780861085 y[1] (numeric) = 3.4938453156522360969127808610848 absolute error = 2e-31 relative error = 5.7243518796900059877538253196633e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.791 y[1] (analytic) = 3.4941346105755821960220838285014 y[1] (numeric) = 3.4941346105755821960220838285012 absolute error = 2e-31 relative error = 5.7238779351736073408775812179751e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.792 y[1] (analytic) = 3.4944232023643763140981189206891 y[1] (numeric) = 3.4944232023643763140981189206889 absolute error = 2e-31 relative error = 5.7234052207722625754146055450790e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.793 y[1] (analytic) = 3.4947110917300266030627524372568 y[1] (numeric) = 3.4947110917300266030627524372566 absolute error = 2e-31 relative error = 5.7229337347308937035336677306873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.794 y[1] (analytic) = 3.4949982793846436379231445291801 y[1] (numeric) = 3.4949982793846436379231445291799 absolute error = 2e-31 relative error = 5.7224634752957172574847882529974e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.795 y[1] (analytic) = 3.4952847660410397046612335341874 y[1] (numeric) = 3.4952847660410397046612335341872 absolute error = 2e-31 relative error = 5.7219944407142393725295306771386e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.796 y[1] (analytic) = 3.4955705524127280874215093958435 y[1] (numeric) = 3.4955705524127280874215093958432 absolute error = 3e-31 relative error = 8.5822899438528763203108563942621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.797 y[1] (analytic) = 3.4958556392139223549977889784976 y[1] (numeric) = 3.4958556392139223549977889784973 absolute error = 3e-31 relative error = 8.5815900586632336178757028452608e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.798 y[1] (analytic) = 3.4961400271595356466197067912625 y[1] (numeric) = 3.4961400271595356466197067912622 absolute error = 3e-31 relative error = 8.5808920028794492691944904618205e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.799 y[1] (analytic) = 3.4964237169651799570396353344726 y[1] (numeric) = 3.4964237169651799570396353344723 absolute error = 3e-31 relative error = 8.5801957738804466488106871801753e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.8 y[1] (analytic) = 3.4967067093471654209207499816423 y[1] (numeric) = 3.496706709347165420920749981642 absolute error = 3e-31 relative error = 8.5795013690470468897208934427449e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.801 y[1] (analytic) = 3.4969890050224995965269540088002 y[1] (numeric) = 3.4969890050224995965269540087999 absolute error = 3e-31 relative error = 8.5788087857619616003449423574716e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.802 y[1] (analytic) = 3.4972706047088867487153800812132 y[1] (numeric) = 3.4972706047088867487153800812129 absolute error = 3e-31 relative error = 8.5781180214097855968213799523531e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.803 y[1] (analytic) = 3.4975515091247271312321852049411 y[1] (numeric) = 3.4975515091247271312321852049408 absolute error = 3e-31 relative error = 8.5774290733769896505990664088299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.804 y[1] (analytic) = 3.4978317189891162683123568473649 y[1] (numeric) = 3.4978317189891162683123568473646 absolute error = 3e-31 relative error = 8.5767419390519132512957800429763e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.805 y[1] (analytic) = 3.4981112350218442355842486268248 y[1] (numeric) = 3.4981112350218442355842486268245 absolute error = 3e-31 relative error = 8.5760566158247573847948462906730e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.806 y[1] (analytic) = 3.4983900579433949402795646667706 y[1] (numeric) = 3.4983900579433949402795646667703 absolute error = 3e-31 relative error = 8.5753731010875773265509540435542e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.807 y[1] (analytic) = 3.4986681884749454007495124043812 y[1] (numeric) = 3.4986681884749454007495124043809 absolute error = 3e-31 relative error = 8.5746913922342754500764613778896e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.808 y[1] (analytic) = 3.4989456273383650252878443374403 y[1] (numeric) = 3.49894562733836502528784433744 absolute error = 3e-31 relative error = 8.5740114866605940505796320200941e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.809 y[1] (analytic) = 3.4992223752562148902615098863654 y[1] (numeric) = 3.4992223752562148902615098863652 absolute error = 2e-31 relative error = 5.7155555878427387891509218677613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.81 y[1] (analytic) = 3.4994984329517470175496392406801 y[1] (numeric) = 3.4994984329517470175496392406799 absolute error = 2e-31 relative error = 5.7151047166294790129981739161012e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.811 y[1] (analytic) = 3.499773801148903651291581750883 y[1] (numeric) = 3.4997738011489036512915817508828 absolute error = 2e-31 relative error = 5.7146550424014294740743383891442e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.812 y[1] (analytic) = 3.5000484805723165339447221176171 y[1] (numeric) = 3.500048480572316533944722117617 absolute error = 1e-31 relative error = 2.8571032817136385929967345478283e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.813 y[1] (analytic) = 3.5003224719473061816527983202618 y[1] (numeric) = 3.5003224719473061816527983202616 absolute error = 2e-31 relative error = 5.7137592779769120064870850643172e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.814 y[1] (analytic) = 3.5005957759998811589254459165686 y[1] (numeric) = 3.5005957759998811589254459165684 absolute error = 2e-31 relative error = 5.7133131843214219133760643519428e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.815 y[1] (analytic) = 3.5008683934567373526296940337378 y[1] (numeric) = 3.5008683934567373526296940337377 absolute error = 1e-31 relative error = 2.8564341403665441452565648564644e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.816 y[1] (analytic) = 3.501140325045257245294139059378 y[1] (numeric) = 3.5011403250452572452941390593779 absolute error = 1e-31 relative error = 2.8562122827426906118388103124061e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=4.54 x[1] = 0.817 y[1] (analytic) = 3.501411571493509187726522728114 y[1] (numeric) = 3.5014115714935091877265227281139 absolute error = 1e-31 relative error = 2.8559910184264774032021683552309e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.818 y[1] (analytic) = 3.501682133530246670945441986206 y[1] (numeric) = 3.5016821335302466709454419862059 absolute error = 1e-31 relative error = 2.8557703465558212278641639447214e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.819 y[1] (analytic) = 3.5019520118849075974269187024083 y[1] (numeric) = 3.5019520118849075974269187024082 absolute error = 1e-31 relative error = 2.8555502662692261189137983152463e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (analytic) = 3.5022212072876135516665579784369 y[1] (numeric) = 3.5022212072876135516665579784369 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.821 y[1] (analytic) = 3.5024897204691690700580244968283 y[1] (numeric) = 3.5024897204691690700580244968283 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.822 y[1] (analytic) = 3.5027575521610609100885670276502 y[1] (numeric) = 3.5027575521610609100885670276502 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.823 y[1] (analytic) = 3.5030247030954573188523218984808 y[1] (numeric) = 3.5030247030954573188523218984809 absolute error = 1e-31 relative error = 2.8546758437539629014037121150341e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.824 y[1] (analytic) = 3.5032911740052073008821269142913 y[1] (numeric) = 3.5032911740052073008821269142914 absolute error = 1e-31 relative error = 2.8544587084856269999124280447364e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.825 y[1] (analytic) = 3.5035569656238398853005778953559 y[1] (numeric) = 3.5035569656238398853005778953559 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.826 y[1] (analytic) = 3.5038220786855633922910606820732 y[1] (numeric) = 3.5038220786855633922910606820732 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.827 y[1] (analytic) = 3.5040865139252646988894921356054 y[1] (numeric) = 3.5040865139252646988894921356054 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.828 y[1] (analytic) = 3.5043502720785085040975043425319 y[1] (numeric) = 3.5043502720785085040975043425319 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.829 y[1] (analytic) = 3.5046133538815365933178069102739 y[1] (numeric) = 3.5046133538815365933178069102739 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (analytic) = 3.5048757600712671021124629178644 y[1] (numeric) = 3.5048757600712671021124629178645 absolute error = 1e-31 relative error = 2.8531681818577965718931818123351e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.831 y[1] (analytic) = 3.5051374913852937792848147637283 y[1] (numeric) = 3.5051374913852937792848147637284 absolute error = 1e-31 relative error = 2.8529551335938662425632095359880e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.832 y[1] (analytic) = 3.5053985485618852492857968284831 y[1] (numeric) = 3.5053985485618852492857968284832 absolute error = 1e-31 relative error = 2.8527426657669414816273021127733e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.833 y[1] (analytic) = 3.5056589323399842739453725463881 y[1] (numeric) = 3.5056589323399842739453725463882 absolute error = 1e-31 relative error = 2.8525307775235062127535120165102e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.834 y[1] (analytic) = 3.5059186434592070135298341539424 y[1] (numeric) = 3.5059186434592070135298341539426 absolute error = 2e-31 relative error = 5.7046389360211944287617904821593e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.835 y[1] (analytic) = 3.5061776826598422871257040582708 y[1] (numeric) = 3.506177682659842287125704058271 absolute error = 2e-31 relative error = 5.7042174727516037210681150905200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.836 y[1] (analytic) = 3.5064360506828508323509774413339 y[1] (numeric) = 3.506436050682850832350977441334 absolute error = 1e-31 relative error = 2.8518985817672558664401300671296e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.837 y[1] (analytic) = 3.5066937482698645643944463886591 y[1] (numeric) = 3.5066937482698645643944463886592 absolute error = 1e-31 relative error = 2.8516890033336410389399462281045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.838 y[1] (analytic) = 3.5069507761631858343838465032063 y[1] (numeric) = 3.5069507761631858343838465032064 absolute error = 1e-31 relative error = 2.8514800002241830316852345457492e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.839 y[1] (analytic) = 3.5072071351057866870835676361593 y[1] (numeric) = 3.5072071351057866870835676361594 absolute error = 1e-31 relative error = 2.8512715715886491051136845554686e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.84 y[1] (analytic) = 3.5074628258413081179226710368709 y[1] (numeric) = 3.507462825841308117922671036871 absolute error = 1e-31 relative error = 2.8510637165773458911937855044444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.841 y[1] (analytic) = 3.5077178491140593293539558938825 y[1] (numeric) = 3.5077178491140593293539558938827 absolute error = 2e-31 relative error = 5.7017128686822343258627596542117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.842 y[1] (analytic) = 3.5079722056690169865448189078902 y[1] (numeric) = 3.5079722056690169865448189078904 absolute error = 2e-31 relative error = 5.7012994480626832172598312808090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.843 y[1] (analytic) = 3.508225896251824472400651205734 y[1] (numeric) = 3.5082258962518244724006512057342 absolute error = 2e-31 relative error = 5.7008871695998612217928492191642e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.844 y[1] (analytic) = 3.5084789216087911419215175719538 y[1] (numeric) = 3.508478921608791141921517571954 absolute error = 2e-31 relative error = 5.7004760315986520607705870626896e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.845 y[1] (analytic) = 3.5087312824868915758928636411686 y[1] (numeric) = 3.5087312824868915758928636411688 absolute error = 2e-31 relative error = 5.7000660323649959885438797235628e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.846 y[1] (analytic) = 3.5089829796337648339109973605104 y[1] (numeric) = 3.5089829796337648339109973605106 absolute error = 2e-31 relative error = 5.6996571702058853788970863626849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=99.1MB, alloc=4.4MB, time=4.72 TOP MAIN SOLVE Loop x[1] = 0.847 y[1] (analytic) = 3.5092340137977137067440916965694 y[1] (numeric) = 3.5092340137977137067440916965696 absolute error = 2e-31 relative error = 5.6992494434293603208680524782368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.848 y[1] (analytic) = 3.5094843857277039680294562257845 y[1] (numeric) = 3.5094843857277039680294562257847 absolute error = 2e-31 relative error = 5.6988428503445042239810415077559e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.849 y[1] (analytic) = 3.5097340961733636253078259109465 y[1] (numeric) = 3.5097340961733636253078259109467 absolute error = 2e-31 relative error = 5.6984373892614394328771891404498e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.85 y[1] (analytic) = 3.5099831458849821703954160294615 y[1] (numeric) = 3.5099831458849821703954160294617 absolute error = 2e-31 relative error = 5.6980330584913228513271161503349e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.851 y[1] (analytic) = 3.5102315356135098290944928812576 y[1] (numeric) = 3.5102315356135098290944928812579 absolute error = 3e-31 relative error = 8.5464447845195123634156269211909e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.852 y[1] (analytic) = 3.5104792661105568102432105657027 y[1] (numeric) = 3.510479266110556810243210565703 absolute error = 3e-31 relative error = 8.5458416717095628058702468070085e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.853 y[1] (analytic) = 3.5107263381283925541054647776315 y[1] (numeric) = 3.5107263381283925541054647776318 absolute error = 3e-31 relative error = 8.5452402467784872325959397777237e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.854 y[1] (analytic) = 3.5109727524199449801015152325684 y[1] (numeric) = 3.5109727524199449801015152325687 absolute error = 3e-31 relative error = 8.5446405071991629948797866579959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.855 y[1] (analytic) = 3.5112185097387997338801289904588 y[1] (numeric) = 3.511218509738799733880128990459 absolute error = 2e-31 relative error = 5.6960283002973244487321803529194e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.856 y[1] (analytic) = 3.5114636108391994337329976057035 y[1] (numeric) = 3.5114636108391994337329976057037 absolute error = 2e-31 relative error = 5.6956307159965783977990316410627e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.857 y[1] (analytic) = 3.5117080564760429163521816890169 y[1] (numeric) = 3.5117080564760429163521816890171 absolute error = 2e-31 relative error = 5.6952342502154809187300482183128e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.858 y[1] (analytic) = 3.5119518474048844819313371236005 y[1] (numeric) = 3.5119518474048844819313371236008 absolute error = 3e-31 relative error = 8.5422583519099634604595126053454e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.859 y[1] (analytic) = 3.5121949843819331386114778343436 y[1] (numeric) = 3.5121949843819331386114778343438 absolute error = 2e-31 relative error = 5.6944446674903351195880026432034e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (analytic) = 3.5124374681640518462720306642239 y[1] (numeric) = 3.5124374681640518462720306642241 absolute error = 2e-31 relative error = 5.6940515471878232255879479949261e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.861 y[1] (analytic) = 3.5126792995087567596679385667926 y[1] (numeric) = 3.5126792995087567596679385667928 absolute error = 2e-31 relative error = 5.6936595386880241988309764296569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.862 y[1] (analytic) = 3.5129204791742164709135689775753 y[1] (numeric) = 3.5129204791742164709135689775755 absolute error = 2e-31 relative error = 5.6932686403141717201169732772519e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.863 y[1] (analytic) = 3.5131610079192512513141848804184 y[1] (numeric) = 3.5131610079192512513141848804186 absolute error = 2e-31 relative error = 5.6928788503904779884739551903381e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.864 y[1] (analytic) = 3.5134008865033322925457367372467 y[1] (numeric) = 3.5134008865033322925457367372469 absolute error = 2e-31 relative error = 5.6924901672421294749533898312256e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.865 y[1] (analytic) = 3.5136401156865809471837341013768 y[1] (numeric) = 3.513640115686580947183734101377 absolute error = 2e-31 relative error = 5.6921025891952826855869720999092e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.866 y[1] (analytic) = 3.5138786962297679685819563854515 y[1] (numeric) = 3.5138786962297679685819563854517 absolute error = 2e-31 relative error = 5.6917161145770599334907841174413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.867 y[1] (analytic) = 3.5141166288943127501017629052209 y[1] (numeric) = 3.5141166288943127501017629052211 absolute error = 2e-31 relative error = 5.6913307417155451201028450257348e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.868 y[1] (analytic) = 3.5143539144422825636927629697972 y[1] (numeric) = 3.5143539144422825636927629697975 absolute error = 3e-31 relative error = 8.5364197034096692883102029441803e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.869 y[1] (analytic) = 3.5145905536363917978256074376496 y[1] (numeric) = 3.5145905536363917978256074376498 absolute error = 2e-31 relative error = 5.6905632945797576080612586554007e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.87 y[1] (analytic) = 3.5148265472400011947776638054828 y[1] (numeric) = 3.5148265472400011947776638054831 absolute error = 3e-31 relative error = 8.5352718254496342189314744105305e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.871 y[1] (analytic) = 3.5150618960171170872723375442638 y[1] (numeric) = 3.515061896017117087272337544264 absolute error = 2e-31 relative error = 5.6898002344316633885029791802641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.872 y[1] (analytic) = 3.5152966007323906344728030430074 y[1] (numeric) = 3.5152966007323906344728030430077 absolute error = 3e-31 relative error = 8.5341305179624623240257339741946e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.873 y[1] (analytic) = 3.5155306621511170573309081665308 y[1] (numeric) = 3.5155306621511170573309081665311 absolute error = 3e-31 relative error = 8.5335623218951839633720957928789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.874 y[1] (analytic) = 3.5157640810392348732920170782044 y[1] (numeric) = 3.5157640810392348732920170782047 absolute error = 3e-31 relative error = 8.5329957609477064887613822475450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.875 y[1] (analytic) = 3.515996858163325130356556622796 y[1] (numeric) = 3.5159968581633251303565566227963 absolute error = 3e-31 relative error = 8.5324308326234686362178395956968e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.4MB, time=4.90 x[1] = 0.876 y[1] (analytic) = 3.5162289942906106404990322077955 y[1] (numeric) = 3.5162289942906106404990322077957 absolute error = 2e-31 relative error = 5.6879116896181967893693226702229e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.877 y[1] (analytic) = 3.5164604901889552124452797641414 y[1] (numeric) = 3.5164604901889552124452797641417 absolute error = 3e-31 relative error = 8.5313058638653907605990630898538e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.878 y[1] (analytic) = 3.5166913466268628838087210090344 y[1] (numeric) = 3.5166913466268628838087210090346 absolute error = 2e-31 relative error = 5.6871638789635557769362774958184e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.879 y[1] (analytic) = 3.5169215643734771525863898745154 y[1] (numeric) = 3.5169215643734771525863898745156 absolute error = 2e-31 relative error = 5.6867915971173798026040914487089e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (analytic) = 3.5171511441985802080154986057221 y[1] (numeric) = 3.5171511441985802080154986057223 absolute error = 2e-31 relative error = 5.6864203953786040236837041048553e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.881 y[1] (analytic) = 3.5173800868725921607913126721897 y[1] (numeric) = 3.5173800868725921607913126721899 absolute error = 2e-31 relative error = 5.6860502720883366901254489395392e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.882 y[1] (analytic) = 3.5176083931665702726471042742594 y[1] (numeric) = 3.5176083931665702726471042742596 absolute error = 2e-31 relative error = 5.6856812255885854454945256150615e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.883 y[1] (analytic) = 3.5178360638522081852969548645758 y[1] (numeric) = 3.517836063852208185296954864576 absolute error = 2e-31 relative error = 5.6853132542222532525031222700259e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.884 y[1] (analytic) = 3.5180630997018351487421777418069 y[1] (numeric) = 3.5180630997018351487421777418071 absolute error = 2e-31 relative error = 5.6849463563331343274498878688115e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.885 y[1] (analytic) = 3.5182895014884152489421324100994 y[1] (numeric) = 3.5182895014884152489421324100996 absolute error = 2e-31 relative error = 5.6845805302659100835541436773914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.886 y[1] (analytic) = 3.5185152699855466348502030333909 y[1] (numeric) = 3.518515269985546634850203033391 absolute error = 1e-31 relative error = 2.8421078871830725415861488955655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.887 y[1] (analytic) = 3.5187404059674607448157139485358 y[1] (numeric) = 3.518740405967460744815713948536 absolute error = 2e-31 relative error = 5.6838520869802829988840012958572e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.888 y[1] (analytic) = 3.5189649102090215323525558352659 y[1] (numeric) = 3.5189649102090215323525558352661 absolute error = 2e-31 relative error = 5.6834894664556425834356590958716e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.889 y[1] (analytic) = 3.519188783485724691275296774293 y[1] (numeric) = 3.5191887834857246912752967742932 absolute error = 2e-31 relative error = 5.6831279111404136485289826922947e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.89 y[1] (analytic) = 3.5194120265736968802035530573802 y[1] (numeric) = 3.5194120265736968802035530573805 absolute error = 3e-31 relative error = 8.5241511290754795786635193640504e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.891 y[1] (analytic) = 3.5196346402496949464353952449452 y[1] (numeric) = 3.5196346402496949464353952449455 absolute error = 3e-31 relative error = 8.5236119843029210447091716185563e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.892 y[1] (analytic) = 3.5198566252911051491905655977243 y[1] (numeric) = 3.5198566252911051491905655977246 absolute error = 3e-31 relative error = 8.5230744299191132952797762587968e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.893 y[1] (analytic) = 3.5200779824759423822242836392167 y[1] (numeric) = 3.520077982475942382224283639217 absolute error = 3e-31 relative error = 8.5225384634515073481990842182599e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.894 y[1] (analytic) = 3.520298712582849395812417235037 y[1] (numeric) = 3.5202987125828493958124172350374 absolute error = 4e-31 relative error = 1.1362672109905107798683648682926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.895 y[1] (analytic) = 3.5205188163910960181087972039415 y[1] (numeric) = 3.5205188163910960181087972039418 absolute error = 3e-31 relative error = 8.5214712843810821183948192651149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.896 y[1] (analytic) = 3.5207382946805783758754541031468 y[1] (numeric) = 3.5207382946805783758754541031472 absolute error = 4e-31 relative error = 1.1361253422452698950261055020777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.897 y[1] (analytic) = 3.5209571482318181145865564576418 y[1] (numeric) = 3.5209571482318181145865564576422 absolute error = 4e-31 relative error = 1.1360547236448905330152260167500e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.898 y[1] (analytic) = 3.5211753778259616179068303294869 y[1] (numeric) = 3.5211753778259616179068303294873 absolute error = 4e-31 relative error = 1.1359843151208428313299562397397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.899 y[1] (analytic) = 3.5213929842447792265452407486178 y[1] (numeric) = 3.5213929842447792265452407486183 absolute error = 5e-31 relative error = 1.4198926454305787804324844308380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.9 y[1] (analytic) = 3.5216099682706644564847161514071 y[1] (numeric) = 3.5216099682706644564847161514076 absolute error = 5e-31 relative error = 1.4198051587340660345373738094225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.901 y[1] (analytic) = 3.5218263306866332165886975971928 y[1] (numeric) = 3.5218263306866332165886975971933 absolute error = 5e-31 relative error = 1.4197179334010983184228012480117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.902 y[1] (analytic) = 3.5220420722763230255852951561612 y[1] (numeric) = 3.5220420722763230255852951561617 absolute error = 5e-31 relative error = 1.4196309690214635446936832541330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.903 y[1] (analytic) = 3.522257193823992228429834484361 y[1] (numeric) = 3.5222571938239922284298344843615 absolute error = 5e-31 relative error = 1.4195442651851535469560167973424e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.904 y[1] (analytic) = 3.5224716961145192120465772232376 y[1] (numeric) = 3.5224716961145192120465772232382 absolute error = 6e-31 relative error = 1.7033493857788357287912148042618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.905 y[1] (analytic) = 3.5226855799334016204503994819018 y[1] (numeric) = 3.5226855799334016204503994819023 absolute error = 5e-31 relative error = 1.4193716375034889861037201511083e-29 % Correct digits = 30 h = 0.001 memory used=106.8MB, alloc=4.4MB, time=5.08 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.906 y[1] (analytic) = 3.5228988460667555692492132803878 y[1] (numeric) = 3.5228988460667555692492132803884 absolute error = 6e-31 relative error = 1.7031428554069547443300556781073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.907 y[1] (analytic) = 3.5231114953013148595279164514162 y[1] (numeric) = 3.5231114953013148595279164514168 absolute error = 6e-31 relative error = 1.7030400564960969890072876159322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.908 y[1] (analytic) = 3.5233235284244301911146571166434 y[1] (numeric) = 3.523323528424430191114657116644 absolute error = 6e-31 relative error = 1.7029375677808097907523357994137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.909 y[1] (analytic) = 3.5235349462240683752301994710699 y[1] (numeric) = 3.5235349462240683752301994710705 absolute error = 6e-31 relative error = 1.7028353887705271651231419131790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.91 y[1] (analytic) = 3.5237457494888115465211782261747 y[1] (numeric) = 3.5237457494888115465211782261753 absolute error = 6e-31 relative error = 1.7027335189749197183852839667981e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.911 y[1] (analytic) = 3.5239559390078563744780296784564 y[1] (numeric) = 3.523955939007856374478029678457 absolute error = 6e-31 relative error = 1.7026319579038934986356099695979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.912 y[1] (analytic) = 3.524165515571013274238387985384 y[1] (numeric) = 3.5241655155710132742383879853845 absolute error = 5e-31 relative error = 1.4187755875563240412503641151404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.913 y[1] (analytic) = 3.5243744799687056167767358452946 y[1] (numeric) = 3.5243744799687056167767358452951 absolute error = 5e-31 relative error = 1.4186914666469827220042818361871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.914 y[1] (analytic) = 3.5245828329919689384810993915234 y[1] (numeric) = 3.5245828329919689384810993915239 absolute error = 5e-31 relative error = 1.4186076017840585461766356593859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.915 y[1] (analytic) = 3.524790575432450150117577724003 y[1] (numeric) = 3.5247905754324501501175777240035 absolute error = 5e-31 relative error = 1.4185239925599151621857928344116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.916 y[1] (analytic) = 3.5249977080824067451834981137382 y[1] (numeric) = 3.5249977080824067451834981137386 absolute error = 4e-31 relative error = 1.1347525108536861320965561346405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.917 y[1] (analytic) = 3.5252042317347060076499885269339 y[1] (numeric) = 3.5252042317347060076499885269343 absolute error = 4e-31 relative error = 1.1346860315187053217418775318309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.918 y[1] (analytic) = 3.5254101471828242190947597261393 y[1] (numeric) = 3.5254101471828242190947597261397 absolute error = 4e-31 relative error = 1.1346197557173378241801182034809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.919 y[1] (analytic) = 3.5256154552208458652258898155579 y[1] (numeric) = 3.5256154552208458652258898155583 absolute error = 4e-31 relative error = 1.1345536831240826604004213330495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (analytic) = 3.5258201566434628417974047066744 y[1] (numeric) = 3.5258201566434628417974047066748 absolute error = 4e-31 relative error = 1.1344878134135889963402796414009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.921 y[1] (analytic) = 3.5260242522459736599174485885512 y[1] (numeric) = 3.5260242522459736599174485885516 absolute error = 4e-31 relative error = 1.1344221462606553940380723813814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.922 y[1] (analytic) = 3.5262277428242826507498390945582 y[1] (numeric) = 3.5262277428242826507498390945586 absolute error = 4e-31 relative error = 1.1343566813402290644814186956958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.923 y[1] (analytic) = 3.5264306291748991696098024639136 y[1] (numeric) = 3.526430629174899169609802463914 absolute error = 4e-31 relative error = 1.1342914183274051221493663394896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.924 y[1] (analytic) = 3.5266329120949367994546846022351 y[1] (numeric) = 3.5266329120949367994546846022355 absolute error = 4e-31 relative error = 1.1342263568974258412464482663915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.925 y[1] (analytic) = 3.5268345923821125537704345503238 y[1] (numeric) = 3.5268345923821125537704345503242 absolute error = 4e-31 relative error = 1.1341614967256799136266530372114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.926 y[1] (analytic) = 3.5270356708347460788546574746306 y[1] (numeric) = 3.5270356708347460788546574746311 absolute error = 5e-31 relative error = 1.4176210468596271355067105426244e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.927 y[1] (analytic) = 3.5272361482517588554970348962863 y[1] (numeric) = 3.5272361482517588554970348962868 absolute error = 5e-31 relative error = 1.4175404735739631665717138123147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.928 y[1] (analytic) = 3.5274360254326734000579104782075 y[1] (numeric) = 3.5274360254326734000579104782079 absolute error = 4e-31 relative error = 1.1339681205159098973989479722648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.929 y[1] (analytic) = 3.5276353031776124649458402916272 y[1] (numeric) = 3.5276353031776124649458402916277 absolute error = 5e-31 relative error = 1.4173800776673584703153124963804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.93 y[1] (analytic) = 3.527833982287298238494907084433 y[1] (numeric) = 3.5278339822872982384949070844334 absolute error = 4e-31 relative error = 1.1338402033892108777899890804239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.931 y[1] (analytic) = 3.5280320635630515442425986739304 y[1] (numeric) = 3.5280320635630515442425986739308 absolute error = 4e-31 relative error = 1.1337765439581339105586059817517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.932 y[1] (analytic) = 3.5282295478067910396090511860886 y[1] (numeric) = 3.528229547806791039609051186089 absolute error = 4e-31 relative error = 1.1337130835170488533780472541259e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.933 y[1] (analytic) = 3.5284264358210324139784584619569 y[1] (numeric) = 3.5284264358210324139784584619572 absolute error = 3e-31 relative error = 8.5023736630686692003722792889603e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.934 y[1] (analytic) = 3.5286227284088875861834495497756 y[1] (numeric) = 3.528622728408887586183449549776 absolute error = 4e-31 relative error = 1.1335867583111283657368771856853e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=110.6MB, alloc=4.4MB, time=5.27 TOP MAIN SOLVE Loop x[1] = 0.935 y[1] (analytic) = 3.5288184263740639013932367983387 y[1] (numeric) = 3.5288184263740639013932367983391 absolute error = 4e-31 relative error = 1.1335238928997786950173500575631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.936 y[1] (analytic) = 3.5290135305208633274063376633907 y[1] (numeric) = 3.5290135305208633274063376633911 absolute error = 4e-31 relative error = 1.1334612251853910049372559542402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.937 y[1] (analytic) = 3.5292080416541816503486739342715 y[1] (numeric) = 3.5292080416541816503486739342718 absolute error = 3e-31 relative error = 8.5004906613379029730008710199058e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.938 y[1] (analytic) = 3.5294019605795076697778526826406 y[1] (numeric) = 3.5294019605795076697778526826409 absolute error = 3e-31 relative error = 8.5000236116699417041589744900609e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.939 y[1] (analytic) = 3.529595288102922393194433828935 y[1] (numeric) = 3.5295952881029223931944338289353 absolute error = 3e-31 relative error = 8.4995580374667604513441133489268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.94 y[1] (analytic) = 3.529788025031098229960989815224 y[1] (numeric) = 3.5297880250310982299609898152243 absolute error = 3e-31 relative error = 8.4990939363095870954768141733338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.941 y[1] (analytic) = 3.5299801721712981846297634653354 y[1] (numeric) = 3.5299801721712981846297634653357 absolute error = 3e-31 relative error = 8.4986313057806603128653768212579e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.942 y[1] (analytic) = 3.5301717303313750496797307045275 y[1] (numeric) = 3.5301717303313750496797307045278 absolute error = 3e-31 relative error = 8.4981701434632242229538985811916e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.943 y[1] (analytic) = 3.5303627003197705976638754015769 y[1] (numeric) = 3.5303627003197705976638754015771 absolute error = 2e-31 relative error = 5.6651402979610153656652051483256e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.944 y[1] (analytic) = 3.53055308294551477276748418594 y[1] (numeric) = 3.5305530829455147727674841859402 absolute error = 2e-31 relative error = 5.6648348092005305254360783311229e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.945 y[1] (analytic) = 3.5307428790182248817782696816264 y[1] (numeric) = 3.5307428790182248817782696816266 absolute error = 2e-31 relative error = 5.6645302944181806009824714583842e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.946 y[1] (analytic) = 3.5309320893481047844691311875929 y[1] (numeric) = 3.5309320893481047844691311875931 absolute error = 2e-31 relative error = 5.6642267520054406708553547276914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.947 y[1] (analytic) = 3.5311207147459440833943624218299 y[1] (numeric) = 3.5311207147459440833943624218301 absolute error = 2e-31 relative error = 5.6639241803544383922951728864781e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.948 y[1] (analytic) = 3.5313087560231173131001165328662 y[1] (numeric) = 3.5313087560231173131001165328663 absolute error = 1e-31 relative error = 2.8318112889289752413236403836556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.949 y[1] (analytic) = 3.5314962139915831287499391681575 y[1] (numeric) = 3.5314962139915831287499391681576 absolute error = 1e-31 relative error = 2.8316609714546996045060906263604e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.95 y[1] (analytic) = 3.5316830894638834941661809737605 y[1] (numeric) = 3.5316830894638834941661809737605 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.951 y[1] (analytic) = 3.5318693832531428692881014838095 y[1] (numeric) = 3.5318693832531428692881014838095 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.952 y[1] (analytic) = 3.532055096173067397047476941627 y[1] (numeric) = 3.532055096173067397047476941627 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.953 y[1] (analytic) = 3.5322402290379440896625251767901 y[1] (numeric) = 3.5322402290379440896625251767901 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.954 y[1] (analytic) = 3.5324247826626400143509612441614 y[1] (numeric) = 3.5324247826626400143509612441613 absolute error = 1e-31 relative error = 2.8309166126001098174835216173234e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.955 y[1] (analytic) = 3.5326087578626014784629981117605 y[1] (numeric) = 3.5326087578626014784629981117605 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.956 y[1] (analytic) = 3.5327921554538532140351072644082 y[1] (numeric) = 3.5327921554538532140351072644082 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.957 y[1] (analytic) = 3.5329749762529975617653546693133 y[1] (numeric) = 3.5329749762529975617653546693133 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.958 y[1] (analytic) = 3.5331572210772136544111281281996 y[1] (numeric) = 3.5331572210772136544111281281995 absolute error = 1e-31 relative error = 2.8303297516296572121006481355535e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.959 y[1] (analytic) = 3.5333388907442565996100726181766 y[1] (numeric) = 3.5333388907442565996100726181765 absolute error = 1e-31 relative error = 2.8301842277839408464891022601595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (analytic) = 3.5335199860724566621250508003519 y[1] (numeric) = 3.5335199860724566621250508003518 absolute error = 1e-31 relative error = 2.8300391788968205392836334383088e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.961 y[1] (analytic) = 3.5337005078807184455139464511542 y[1] (numeric) = 3.5337005078807184455139464511541 absolute error = 1e-31 relative error = 2.8298946041687453121924115065057e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.962 y[1] (analytic) = 3.5338804569885200732251291464982 y[1] (numeric) = 3.5338804569885200732251291464981 absolute error = 1e-31 relative error = 2.8297505028004645174004264040467e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.963 y[1] (analytic) = 3.5340598342159123691193991032558 y[1] (numeric) = 3.5340598342159123691193991032558 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.964 y[1] (analytic) = 3.5342386403835180374192316560228 y[1] (numeric) = 3.5342386403835180374192316560228 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 memory used=114.4MB, alloc=4.4MB, time=5.45 TOP MAIN SOLVE Loop x[1] = 0.965 y[1] (analytic) = 3.5344168763125308420861414198663 y[1] (numeric) = 3.5344168763125308420861414198663 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.966 y[1] (analytic) = 3.5345945428247147856269867616215 y[1] (numeric) = 3.5345945428247147856269867616215 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.967 y[1] (analytic) = 3.5347716407424032873300357733647 y[1] (numeric) = 3.5347716407424032873300357733646 absolute error = 1e-31 relative error = 2.8290370684030138876069163020631e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.968 y[1] (analytic) = 3.5349481708884983609316155119276 y[1] (numeric) = 3.5349481708884983609316155119276 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.969 y[1] (analytic) = 3.5351241340864697917141668377364 y[1] (numeric) = 3.5351241340864697917141668377363 absolute error = 1e-31 relative error = 2.8287549802219754657276749673864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.97 y[1] (analytic) = 3.5352995311603543130365277548499 y[1] (numeric) = 3.5352995311603543130365277548498 absolute error = 1e-31 relative error = 2.8286146369945080172726327160233e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.971 y[1] (analytic) = 3.5354743629347547822972687218476 y[1] (numeric) = 3.5354743629347547822972687218476 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.972 y[1] (analytic) = 3.5356486302348393563319039701617 y[1] (numeric) = 3.5356486302348393563319039701617 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.973 y[1] (analytic) = 3.5358223338863406662448034325732 y[1] (numeric) = 3.5358223338863406662448034325733 absolute error = 1e-31 relative error = 2.8281964012056752053679068292961e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.974 y[1] (analytic) = 3.5359954747155549916766304498929 y[1] (numeric) = 3.5359954747155549916766304498929 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.975 y[1] (analytic) = 3.5361680535493414345081309883184 y[1] (numeric) = 3.5361680535493414345081309883184 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.976 y[1] (analytic) = 3.5363400712151210920011006636116 y[1] (numeric) = 3.5363400712151210920011006636115 absolute error = 1e-31 relative error = 2.8277823395428997968606577989174e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.977 y[1] (analytic) = 3.5365115285408762293773564310583 y[1] (numeric) = 3.5365115285408762293773564310583 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.978 y[1] (analytic) = 3.5366824263551494518365403621718 y[1] (numeric) = 3.5366824263551494518365403621718 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.979 y[1] (analytic) = 3.5368527654870428760135834902649 y[1] (numeric) = 3.5368527654870428760135834902649 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (analytic) = 3.5370225467662173008766582673599 y[1] (numeric) = 3.5370225467662173008766582673599 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.981 y[1] (analytic) = 3.5371917710228913780664487344139 y[1] (numeric) = 3.5371917710228913780664487344139 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.982 y[1] (analytic) = 3.5373604390878407816775680655199 y[1] (numeric) = 3.5373604390878407816775680655199 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.983 y[1] (analytic) = 3.5375285517923973774829537045974 y[1] (numeric) = 3.5375285517923973774829537045975 absolute error = 1e-31 relative error = 2.8268323078080014887514766139819e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.984 y[1] (analytic) = 3.5376961099684483916020708701086 y[1] (numeric) = 3.5376961099684483916020708701087 absolute error = 1e-31 relative error = 2.8266984187313892491367378339106e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.985 y[1] (analytic) = 3.5378631144484355786137557595258 y[1] (numeric) = 3.5378631144484355786137557595259 absolute error = 1e-31 relative error = 2.8265649847108436472965842191476e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.986 y[1] (analytic) = 3.5380295660653543891145303406393 y[1] (numeric) = 3.5380295660653543891145303406395 absolute error = 2e-31 relative error = 5.6528640099076437525409225354904e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.987 y[1] (analytic) = 3.5381954656527531367232211713211 y[1] (numeric) = 3.5381954656527531367232211713212 absolute error = 1e-31 relative error = 2.8262994786680402208870707552544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.988 y[1] (analytic) = 3.5383608140447321645327152430547 y[1] (numeric) = 3.5383608140447321645327152430548 absolute error = 1e-31 relative error = 2.8261674050614724602926809735250e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.989 y[1] (analytic) = 3.5385256120759430110096863964084 y[1] (numeric) = 3.5385256120759430110096863964085 absolute error = 1e-31 relative error = 2.8260357833423482744574986349895e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (analytic) = 3.5386898605815875753431264086536 y[1] (numeric) = 3.5386898605815875753431264086538 absolute error = 2e-31 relative error = 5.6518092254383033093144319418547e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.991 y[1] (analytic) = 3.5388535603974172822425154049293 y[1] (numeric) = 3.5388535603974172822425154049295 absolute error = 2e-31 relative error = 5.6515477848012386358537490405783e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.992 y[1] (analytic) = 3.5390167123597322461864667947115 y[1] (numeric) = 3.5390167123597322461864667947116 absolute error = 1e-31 relative error = 2.8256436215957391254842149926653e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.993 y[1] (analytic) = 3.5391793173053804351226824848735 y[1] (numeric) = 3.5391793173053804351226824848736 absolute error = 1e-31 relative error = 2.8255137995137485051197103950122e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.994 y[1] (analytic) = 3.5393413760717568336200546693127 y[1] (numeric) = 3.5393413760717568336200546693128 absolute error = 1e-31 relative error = 2.8253844253641328775505073369236e-30 % Correct digits = 31 h = 0.001 memory used=118.2MB, alloc=4.4MB, time=5.63 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.995 y[1] (analytic) = 3.5395028894968026054737510429714 y[1] (numeric) = 3.5395028894968026054737510429715 absolute error = 1e-31 relative error = 2.8252554983566240867355280736704e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.996 y[1] (analytic) = 3.5396638584190042557641208350967 y[1] (numeric) = 3.5396638584190042557641208350969 absolute error = 2e-31 relative error = 5.6502540354023976682980268200769e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.997 y[1] (analytic) = 3.5398242836773927923702596027651 y[1] (numeric) = 3.5398242836773927923702596027652 absolute error = 1e-31 relative error = 2.8249989826080771170098140712837e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.998 y[1] (analytic) = 3.5399841661115428869390712710343 y[1] (numeric) = 3.5399841661115428869390712710344 absolute error = 1e-31 relative error = 2.8248713922877206704637655504108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.999 y[1] (analytic) = 3.5401435065615720353106664505939 y[1] (numeric) = 3.540143506561572035310666450594 absolute error = 1e-31 relative error = 2.8247442459508314137165087635665e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = 3.540302305868139717400936607443 y[1] (numeric) = 3.5403023058681397174009366074431 absolute error = 1e-31 relative error = 2.8246175428083499001141460877422e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.001 y[1] (analytic) = 3.5404605648724465565421442019536 y[1] (numeric) = 3.5404605648724465565421442019537 absolute error = 1e-31 relative error = 2.8244912820714537711691495172905e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.002 y[1] (analytic) = 3.5406182844162334782823694566573 y[1] (numeric) = 3.5406182844162334782823694566574 absolute error = 1e-31 relative error = 2.8243654629515562145289647581052e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.003 y[1] (analytic) = 3.5407754653417808686446549532403 y[1] (numeric) = 3.5407754653417808686446549532404 absolute error = 1e-31 relative error = 2.8242400846603044258847820807696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.004 y[1] (analytic) = 3.5409321084919077318466897995304 y[1] (numeric) = 3.5409321084919077318466897995305 absolute error = 1e-31 relative error = 2.8241151464095780748179716766783e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.005 y[1] (analytic) = 3.5410882147099708474818756467225 y[1] (numeric) = 3.5410882147099708474818756467226 absolute error = 1e-31 relative error = 2.8239906474114877745817081041490e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.006 y[1] (analytic) = 3.5412437848398639271626173757064 y[1] (numeric) = 3.5412437848398639271626173757065 absolute error = 1e-31 relative error = 2.8238665868783735558153351749976e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.007 y[1] (analytic) = 3.5413988197260167706266818091356 y[1] (numeric) = 3.5413988197260167706266818091356 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.008 y[1] (analytic) = 3.5415533202133944213074683428077 y[1] (numeric) = 3.5415533202133944213074683428077 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.009 y[1] (analytic) = 3.541707287147496321369035926017 y[1] (numeric) = 3.5417072871474963213690359260169 absolute error = 1e-31 relative error = 2.8234970281956970135529807215443e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (analytic) = 3.5418607213743554662067313557792 y[1] (numeric) = 3.5418607213743554662067313557791 absolute error = 1e-31 relative error = 2.8233747136504225748167411954768e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.011 y[1] (analytic) = 3.5420136237405375584142643842326 y[1] (numeric) = 3.5420136237405375584142643842325 absolute error = 1e-31 relative error = 2.8232528336352124865313163098905e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.012 y[1] (analytic) = 3.5421659950931401612180756720674 y[1] (numeric) = 3.5421659950931401612180756720673 absolute error = 1e-31 relative error = 2.8231313873637514515863705448963e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.013 y[1] (analytic) = 3.5423178362797918513798441535466 y[1] (numeric) = 3.5423178362797918513798441535465 absolute error = 1e-31 relative error = 2.8230103740499430161749212644835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.014 y[1] (analytic) = 3.5424691481486513715679809105391 y[1] (numeric) = 3.5424691481486513715679809105391 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.015 y[1] (analytic) = 3.542619931548406782198957184002 y[1] (numeric) = 3.542619931548406782198957184002 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.016 y[1] (analytic) = 3.5427701873282746127493146815114 y[1] (numeric) = 3.5427701873282746127493146815114 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.017 y[1] (analytic) = 3.5429199163379990125392068687629 y[1] (numeric) = 3.5429199163379990125392068687629 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.018 y[1] (analytic) = 3.5430691194278509009883204614282 y[1] (numeric) = 3.5430691194278509009883204614282 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.019 y[1] (analytic) = 3.5432177974486271173450268613758 y[1] (numeric) = 3.5432177974486271173450268613758 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = 3.5433659512516495698896138080338 y[1] (numeric) = 3.5433659512516495698896138080338 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.021 y[1] (analytic) = 3.5435135816887643846124480415924 y[1] (numeric) = 3.5435135816887643846124480415924 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.022 y[1] (analytic) = 3.5436606896123410533679202998119 y[1] (numeric) = 3.5436606896123410533679202998118 absolute error = 1e-31 relative error = 2.8219406077205293951118190328622e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=5.82 x[1] = 1.023 y[1] (analytic) = 3.5438072758752715815050244944202 y[1] (numeric) = 3.5438072758752715815050244944201 absolute error = 1e-31 relative error = 2.8218238807950236935861287479413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.024 y[1] (analytic) = 3.5439533413309696349754234364508 y[1] (numeric) = 3.5439533413309696349754234364508 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.025 y[1] (analytic) = 3.5440988868333696869198540023831 y[1] (numeric) = 3.544098886833369686919854002383 absolute error = 1e-31 relative error = 2.8215916991342580188595856536268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.026 y[1] (analytic) = 3.5442439132369261637337251546087 y[1] (numeric) = 3.5442439132369261637337251546086 absolute error = 1e-31 relative error = 2.8214762428320261201278005003223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.027 y[1] (analytic) = 3.5443884213966125906127627505561 y[1] (numeric) = 3.5443884213966125906127627505561 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.028 y[1] (analytic) = 3.5445324121679207365795555947563 y[1] (numeric) = 3.5445324121679207365795555947563 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.029 y[1] (analytic) = 3.5446758864068597589918577072318 y[1] (numeric) = 3.5446758864068597589918577072318 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (analytic) = 3.5448188449699553475335022998374 y[1] (numeric) = 3.5448188449699553475335022998373 absolute error = 1e-31 relative error = 2.8210186295386715380447050770795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.031 y[1] (analytic) = 3.5449612887142488676887834695646 y[1] (numeric) = 3.5449612887142488676887834695646 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.032 y[1] (analytic) = 3.5451032184972965037011621343598 y[1] (numeric) = 3.5451032184972965037011621343598 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.033 y[1] (analytic) = 3.5452446351771684010171532526755 y[1] (numeric) = 3.5452446351771684010171532526755 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.034 y[1] (analytic) = 3.5453855396124478082162518827991 y[1] (numeric) = 3.5453855396124478082162518827991 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.035 y[1] (analytic) = 3.545525932662230218427756151959 y[1] (numeric) = 3.5455259326622302184277561519591 absolute error = 1e-31 relative error = 2.8204560310439745463680524985548e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.036 y[1] (analytic) = 3.5456658151861225102353457183156 y[1] (numeric) = 3.5456658151861225102353457183157 absolute error = 1e-31 relative error = 2.8203447592748022006339793676792e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.037 y[1] (analytic) = 3.5458051880442420880702748211855 y[1] (numeric) = 3.5458051880442420880702748211855 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.038 y[1] (analytic) = 3.5459440520972160220940395262352 y[1] (numeric) = 3.5459440520972160220940395262352 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.039 y[1] (analytic) = 3.5460824082061801875713792829054 y[1] (numeric) = 3.5460824082061801875713792829055 absolute error = 1e-31 relative error = 2.8200134257620357882338800950634e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = 3.5462202572327784037344734209922 y[1] (numeric) = 3.5462202572327784037344734209922 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.041 y[1] (analytic) = 3.5463576000391615721391937221164 y[1] (numeric) = 3.5463576000391615721391937221164 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.042 y[1] (analytic) = 3.5464944374879868145142747097584 y[1] (numeric) = 3.5464944374879868145142747097584 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.043 y[1] (analytic) = 3.5466307704424166101042638086145 y[1] (numeric) = 3.5466307704424166101042638086145 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.044 y[1] (analytic) = 3.5467665997661179325071140302536 y[1] (numeric) = 3.5467665997661179325071140302536 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.045 y[1] (analytic) = 3.5469019263232613860072823474097 y[1] (numeric) = 3.5469019263232613860072823474097 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.046 y[1] (analytic) = 3.5470367509785203414051974237396 y[1] (numeric) = 3.5470367509785203414051974237396 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.047 y[1] (analytic) = 3.547171074597070071343960869506 y[1] (numeric) = 3.547171074597070071343960869506 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.048 y[1] (analytic) = 3.5473048980445868851341466964129 y[1] (numeric) = 3.5473048980445868851341466964129 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.049 y[1] (analytic) = 3.5474382221872472630775641467215 y[1] (numeric) = 3.5474382221872472630775641467215 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (analytic) = 3.5475710478917269902908495728121 y[1] (numeric) = 3.5475710478917269902908495728121 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.051 y[1] (analytic) = 3.5477033760252002900297535435273 y[1] (numeric) = 3.5477033760252002900297535435273 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=6.00 x[1] = 1.052 y[1] (analytic) = 3.5478352074553389565149898529376 y[1] (numeric) = 3.5478352074553389565149898529377 absolute error = 1e-31 relative error = 2.8186202050721609001188243595269e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.053 y[1] (analytic) = 3.5479665430503114872605136056084 y[1] (numeric) = 3.5479665430503114872605136056085 absolute error = 1e-31 relative error = 2.8185158677969518482079379087496e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.054 y[1] (analytic) = 3.5480973836787822149050960500167 y[1] (numeric) = 3.5480973836787822149050960500168 absolute error = 1e-31 relative error = 2.8184119314198970244768652753817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.055 y[1] (analytic) = 3.5482277302099104385480643284723 y[1] (numeric) = 3.5482277302099104385480643284724 absolute error = 1e-31 relative error = 2.8183083951627895227592078685302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.056 y[1] (analytic) = 3.5483575835133495545900748077295 y[1] (numeric) = 3.5483575835133495545900748077296 absolute error = 1e-31 relative error = 2.8182052582475805077098391745952e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.057 y[1] (analytic) = 3.548486944459246187079789149445 y[1] (numeric) = 3.5484869444592461870797891494451 absolute error = 1e-31 relative error = 2.8181025198963778864442238222388e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.058 y[1] (analytic) = 3.5486158139182393175673227737323 y[1] (numeric) = 3.5486158139182393175673227737324 absolute error = 1e-31 relative error = 2.8180001793314449840180827608615e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.059 y[1] (analytic) = 3.5487441927614594144653358622922 y[1] (numeric) = 3.5487441927614594144653358622924 absolute error = 2e-31 relative error = 5.6357964715503984454925252942651e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = 3.5488720818605275619186375399564 y[1] (numeric) = 3.5488720818605275619186375399566 absolute error = 2e-31 relative error = 5.6355933769004216107193802276430e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.061 y[1] (analytic) = 3.5489994820875545881831743649656 y[1] (numeric) = 3.5489994820875545881831743649658 absolute error = 2e-31 relative error = 5.6353910731584028039986281977708e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.062 y[1] (analytic) = 3.5491263943151401935152747489234 y[1] (numeric) = 3.5491263943151401935152747489236 absolute error = 2e-31 relative error = 5.6351895587700856820919236810049e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.063 y[1] (analytic) = 3.549252819416372077572021417107 y[1] (numeric) = 3.5492528194163720775720214171072 absolute error = 2e-31 relative error = 5.6349888321815116075701129910943e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.064 y[1] (analytic) = 3.5493787582648250663236245086903 y[1] (numeric) = 3.5493787582648250663236245086905 absolute error = 2e-31 relative error = 5.6347888918390170458103332298055e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.065 y[1] (analytic) = 3.5495042117345602384786684044334 y[1] (numeric) = 3.5495042117345602384786684044337 absolute error = 3e-31 relative error = 8.4518846042838464544881397270859e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.066 y[1] (analytic) = 3.5496291807001240514231058565195 y[1] (numeric) = 3.5496291807001240514231058565198 absolute error = 3e-31 relative error = 8.4515870455186084076355475841339e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.067 y[1] (analytic) = 3.5497536660365474666738734814705 y[1] (numeric) = 3.5497536660365474666738734814708 absolute error = 3e-31 relative error = 8.4512906591336207767956413868561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.068 y[1] (analytic) = 3.5498776686193450748480031624552 y[1] (numeric) = 3.5498776686193450748480031624555 absolute error = 3e-31 relative error = 8.4509954428001200617538649255096e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.069 y[1] (analytic) = 3.5500011893245142201481043918041 y[1] (numeric) = 3.5500011893245142201481043918043 absolute error = 2e-31 relative error = 5.6338009294598440442681984207216e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = 3.5501242290285341243650930681759 y[1] (numeric) = 3.5501242290285341243650930681762 absolute error = 3e-31 relative error = 8.4504085109746380631831148086955e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.071 y[1] (analytic) = 3.5502467886083650103990427455749 y[1] (numeric) = 3.5502467886083650103990427455752 absolute error = 3e-31 relative error = 8.4501167908272309690137704079583e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.072 y[1] (analytic) = 3.550368868941447225299034813293 y[1] (numeric) = 3.5503688689414472252990348132933 absolute error = 3e-31 relative error = 8.4498262314204515326913394641758e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.073 y[1] (analytic) = 3.5504904709057003628228845668551 y[1] (numeric) = 3.5504904709057003628228845668554 absolute error = 3e-31 relative error = 8.4495368304276145337735221261225e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.074 y[1] (analytic) = 3.5506115953795223855176206101673 y[1] (numeric) = 3.5506115953795223855176206101676 absolute error = 3e-31 relative error = 8.4492485855224389929338757409458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.075 y[1] (analytic) = 3.5507322432417887463215955083164 y[1] (numeric) = 3.5507322432417887463215955083167 absolute error = 3e-31 relative error = 8.4489614943790443937889057946679e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.076 y[1] (analytic) = 3.5508524153718515096891060888357 y[1] (numeric) = 3.550852415371851509689106088836 absolute error = 3e-31 relative error = 8.4486755546719469161947106077973e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.077 y[1] (analytic) = 3.5509721126495384722384022667445 y[1] (numeric) = 3.5509721126495384722384022667447 absolute error = 2e-31 relative error = 5.6322605093840371206739590398432e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.078 y[1] (analytic) = 3.5510913359551522829239637452787 y[1] (numeric) = 3.5510913359551522829239637452789 absolute error = 2e-31 relative error = 5.6320714135111126708865868422218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.079 y[1] (analytic) = 3.551210086169469562733924419963 y[1] (numeric) = 3.5512100861694695627339244199632 absolute error = 2e-31 relative error = 5.6318830806129804501123876872112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=6.18 x[1] = 1.08 y[1] (analytic) = 3.551328364173740023913524788526 y[1] (numeric) = 3.5513283641737400239135247885263 absolute error = 3e-31 relative error = 8.4475432637105262146219261679583e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.081 y[1] (analytic) = 3.5514461708496855887154731431336 y[1] (numeric) = 3.5514461708496855887154731431339 absolute error = 3e-31 relative error = 8.4472630463162791864747005986138e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.082 y[1] (analytic) = 3.5515635070794995076780967945048 y[1] (numeric) = 3.5515635070794995076780967945051 absolute error = 3e-31 relative error = 8.4469839664135474892707150641481e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.083 y[1] (analytic) = 3.5516803737458454774321650496862 y[1] (numeric) = 3.5516803737458454774321650496865 absolute error = 3e-31 relative error = 8.4467060216795196718371186555204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.084 y[1] (analytic) = 3.5517967717318567580372661365885 y[1] (numeric) = 3.5517967717318567580372661365888 absolute error = 3e-31 relative error = 8.4464292097917512582621077236090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.085 y[1] (analytic) = 3.551912701921135289848620738834 y[1] (numeric) = 3.5519127019211352898486207388343 absolute error = 3e-31 relative error = 8.4461535284281610843242892743192e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.086 y[1] (analytic) = 3.5520281651977508099152152740286 y[1] (numeric) = 3.5520281651977508099152152740288 absolute error = 2e-31 relative error = 5.6305859835113517635813485263362e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.087 y[1] (analytic) = 3.5521431624462399679101385172507 y[1] (numeric) = 3.5521431624462399679101385172509 absolute error = 2e-31 relative error = 5.6304036986579903037674170151426e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.088 y[1] (analytic) = 3.5522576945516054415940056393479 y[1] (numeric) = 3.5522576945516054415940056393481 absolute error = 2e-31 relative error = 5.6302221628446809460529251335156e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.089 y[1] (analytic) = 3.5523717623993150518123541965422 y[1] (numeric) = 3.5523717623993150518123541965424 absolute error = 2e-31 relative error = 5.6300413745243141409776034754874e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.09 y[1] (analytic) = 3.5524853668753008770278970738751 y[1] (numeric) = 3.5524853668753008770278970738754 absolute error = 3e-31 relative error = 8.4447919982250156741772983142584e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.091 y[1] (analytic) = 3.5525985088659583673885178501657 y[1] (numeric) = 3.552598508865958367388517850166 absolute error = 3e-31 relative error = 8.4445230512626772192389455357021e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.092 y[1] (analytic) = 3.5527111892581454583318945164118 y[1] (numeric) = 3.5527111892581454583318945164121 absolute error = 3e-31 relative error = 8.4442552185798162458874225206324e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.093 y[1] (analytic) = 3.5528234089391816837276379429376 y[1] (numeric) = 3.5528234089391816837276379429379 absolute error = 3e-31 relative error = 8.4439884978571275685553957079335e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.094 y[1] (analytic) = 3.5529351687968472885578319530748 y[1] (numeric) = 3.5529351687968472885578319530751 absolute error = 3e-31 relative error = 8.4437228867756368562982808352312e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.095 y[1] (analytic) = 3.5530464697193823411368623227636 y[1] (numeric) = 3.5530464697193823411368623227639 absolute error = 3e-31 relative error = 8.4434583830166970836580360197402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.096 y[1] (analytic) = 3.5531573125954858448714224861697 y[1] (numeric) = 3.55315731259548584487142248617 absolute error = 3e-31 relative error = 8.4431949842619849929635187469427e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.097 y[1] (analytic) = 3.5532676983143148495615841872392 y[1] (numeric) = 3.5532676983143148495615841872395 absolute error = 3e-31 relative error = 8.4429326881934975680663954403519e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.098 y[1] (analytic) = 3.5533776277654835622438217760449 y[1] (numeric) = 3.5533776277654835622438217760452 absolute error = 3e-31 relative error = 8.4426714924935485195116514024815e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.099 y[1] (analytic) = 3.5534871018390624575768793068267 y[1] (numeric) = 3.553487101839062457576879306827 absolute error = 3e-31 relative error = 8.4424113948447647811418078074921e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 3.5535961214255773877713700517847 y[1] (numeric) = 3.553596121425577387771370051785 absolute error = 3e-31 relative error = 8.4421523929300830181340110898159e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.101 y[1] (analytic) = 3.5537046874160086920639985009513 y[1] (numeric) = 3.5537046874160086920639985009516 absolute error = 3e-31 relative error = 8.4418944844327461464692185103468e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.102 y[1] (analytic) = 3.5538128007017903057372953738456 y[1] (numeric) = 3.5538128007017903057372953738459 absolute error = 3e-31 relative error = 8.4416376670362998638327618924955e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.103 y[1] (analytic) = 3.5539204621748088686857566231016 y[1] (numeric) = 3.5539204621748088686857566231019 absolute error = 3e-31 relative error = 8.4413819384245891919456295045204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.104 y[1] (analytic) = 3.5540276727274028335292778638564 y[1] (numeric) = 3.5540276727274028335292778638566 absolute error = 2e-31 relative error = 5.6274181975211700202172425480228e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.105 y[1] (analytic) = 3.5541344332523615732747761153897 y[1] (numeric) = 3.5541344332523615732747761153899 absolute error = 2e-31 relative error = 5.6272491588614871476530202902702e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.106 y[1] (analytic) = 3.554240744642924488526891193319 y[1] (numeric) = 3.5542407446429244885268911933192 absolute error = 2e-31 relative error = 5.6270808414271590850138471139340e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.107 y[1] (analytic) = 3.5543466077927801142486595415738 y[1] (numeric) = 3.554346607792780114248659541574 absolute error = 2e-31 relative error = 5.6269132436748578121470050478689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.108 y[1] (analytic) = 3.5544520235960652260730537434014 y[1] (numeric) = 3.5544520235960652260730537434016 memory used=133.5MB, alloc=4.4MB, time=6.37 absolute error = 2e-31 relative error = 5.6267463640614434469889544908958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.109 y[1] (analytic) = 3.5545569929473639461662813997896 y[1] (numeric) = 3.5545569929473639461662813997898 absolute error = 2e-31 relative error = 5.6265802010439619861686334220552e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = 3.5546615167417068486437375119336 y[1] (numeric) = 3.5546615167417068486437375119338 absolute error = 2e-31 relative error = 5.6264147530796430532292249408566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.111 y[1] (analytic) = 3.5547655958745700645395049517196 y[1] (numeric) = 3.5547655958745700645395049517199 absolute error = 3e-31 relative error = 8.4393750279388464817023853938306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.112 y[1] (analytic) = 3.5548692312418743863302980506507 y[1] (numeric) = 3.554869231241874386330298050651 absolute error = 3e-31 relative error = 8.4391289942104739135939023832415e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.113 y[1] (analytic) = 3.5549724237399843720147447831956 y[1] (numeric) = 3.5549724237399843720147447831959 absolute error = 3e-31 relative error = 8.4388840261209974802174696273895e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.114 y[1] (analytic) = 3.5550751742657074487489034652048 y[1] (numeric) = 3.5550751742657074487489034652052 absolute error = 4e-31 relative error = 1.1251520161809773106997223707169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.115 y[1] (analytic) = 3.5551774837162930160389103318025 y[1] (numeric) = 3.5551774837162930160389103318029 absolute error = 4e-31 relative error = 1.1251196370142189781073388607793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.116 y[1] (analytic) = 3.5552793529894315484916548020305 y[1] (numeric) = 3.5552793529894315484916548020309 absolute error = 4e-31 relative error = 1.1250873990075149044466833339385e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.117 y[1] (analytic) = 3.5553807829832536981243796794962 y[1] (numeric) = 3.5553807829832536981243796794966 absolute error = 4e-31 relative error = 1.1250553018525556101346543273644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.118 y[1] (analytic) = 3.5554817745963293962341039793483 y[1] (numeric) = 3.5554817745963293962341039793487 absolute error = 4e-31 relative error = 1.1250233452410647929770892184094e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.119 y[1] (analytic) = 3.5555823287276669548277665120828 y[1] (numeric) = 3.5555823287276669548277665120832 absolute error = 4e-31 relative error = 1.1249915288647988915260235815891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = 3.5556824462767121676139887939611 y[1] (numeric) = 3.5556824462767121676139887939615 absolute error = 4e-31 relative error = 1.1249598524155466499607038189823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.121 y[1] (analytic) = 3.5557821281433474105573562922021 y[1] (numeric) = 3.5557821281433474105573562922025 absolute error = 4e-31 relative error = 1.1249283155851286844923990499323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.122 y[1] (analytic) = 3.5558813752278907419961174505922 y[1] (numeric) = 3.5558813752278907419961174505926 absolute error = 4e-31 relative error = 1.1248969180653970512930654019130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.123 y[1] (analytic) = 3.5559801884310950023242003777392 y[1] (numeric) = 3.5559801884310950023242003777396 absolute error = 4e-31 relative error = 1.1248656595482348159479229700340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.124 y[1] (analytic) = 3.5560785686541469132384475158786 y[1] (numeric) = 3.5560785686541469132384475158789 absolute error = 3e-31 relative error = 8.4362590479416671832400960592950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.125 y[1] (analytic) = 3.5561765167986661765519690429217 y[1] (numeric) = 3.556176516798666176551969042922 absolute error = 3e-31 relative error = 8.4360266871697745670810628307822e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.126 y[1] (analytic) = 3.5562740337667045725745161943185 y[1] (numeric) = 3.5562740337667045725745161943188 absolute error = 3e-31 relative error = 8.4357953619858847144872218969746e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.127 y[1] (analytic) = 3.5563711204607450580607761242855 y[1] (numeric) = 3.5563711204607450580607761242858 absolute error = 3e-31 relative error = 8.4355650700800188372946090915990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.128 y[1] (analytic) = 3.556467777783700863727490358029 y[1] (numeric) = 3.5564677777837008637274903580293 absolute error = 3e-31 relative error = 8.4353358091424147438700836589745e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.129 y[1] (analytic) = 3.5565640066389145913402993177705 y[1] (numeric) = 3.5565640066389145913402993177707 absolute error = 2e-31 relative error = 5.6234050512423491190627878069544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = 3.5566598079301573103712158356535 y[1] (numeric) = 3.5566598079301573103712158356538 absolute error = 3e-31 relative error = 8.4348803709340071727779559702811e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.131 y[1] (analytic) = 3.5567551825616276542276309959846 y[1] (numeric) = 3.5567551825616276542276309959849 absolute error = 3e-31 relative error = 8.4346541890447339070146731456737e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.132 y[1] (analytic) = 3.5568501314379509160537560777255 y[1] (numeric) = 3.5568501314379509160537560777258 absolute error = 3e-31 relative error = 8.4344290288867765849672916432135e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.133 y[1] (analytic) = 3.5569446554641781441054047957204 y[1] (numeric) = 3.5569446554641781441054047957207 absolute error = 3e-31 relative error = 8.4342048881514088185926935150192e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.134 y[1] (analytic) = 3.5570387555457852366990204658005 y[1] (numeric) = 3.5570387555457852366990204658008 absolute error = 3e-31 relative error = 8.4339817645301020248036954479833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.135 y[1] (analytic) = 3.5571324325886720367358531446633 y[1] (numeric) = 3.5571324325886720367358531446636 absolute error = 3e-31 relative error = 8.4337596557145223335699143121298e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.136 y[1] (analytic) = 3.557225687499161425802192220273 y[1] (numeric) = 3.5572256874991614258021922202734 absolute error = 4e-31 relative error = 1.1244718079195370009944817676152e-29 % Correct digits = 30 h = 0.001 memory used=137.3MB, alloc=4.4MB, time=6.54 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.137 y[1] (analytic) = 3.5573185211839984178465603524761 y[1] (numeric) = 3.5573185211839984178465603524765 absolute error = 4e-31 relative error = 1.1244424631024218496822272786545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.138 y[1] (analytic) = 3.5574109345503492524347750865601 y[1] (numeric) = 3.5574109345503492524347750865605 absolute error = 4e-31 relative error = 1.1244132526695551014926847575327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.139 y[1] (analytic) = 3.5575029285058004875837848846205 y[1] (numeric) = 3.5575029285058004875837848846208 absolute error = 3e-31 relative error = 8.4328813223494399652169339357547e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 3.5575945039583580921751867408226 y[1] (numeric) = 3.5575945039583580921751867408229 absolute error = 3e-31 relative error = 8.4326642529440877018902364096697e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.141 y[1] (analytic) = 3.5576856618164465379493329669665 y[1] (numeric) = 3.5576856618164465379493329669668 absolute error = 3e-31 relative error = 8.4324481844983765903676790002081e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.142 y[1] (analytic) = 3.5577764029889078910809351541712 y[1] (numeric) = 3.5577764029889078910809351541715 absolute error = 3e-31 relative error = 8.4322331147052501399535692098069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.143 y[1] (analytic) = 3.5578667283850009033370737349995 y[1] (numeric) = 3.5578667283850009033370737349998 absolute error = 3e-31 relative error = 8.4320190412578222497603153690149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.144 y[1] (analytic) = 3.5579566389144001028185219879378 y[1] (numeric) = 3.5579566389144001028185219879381 absolute error = 3e-31 relative error = 8.4318059618493742198156338315008e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.145 y[1] (analytic) = 3.5580461354871948842852937428306 y[1] (numeric) = 3.558046135487194884285293742831 absolute error = 4e-31 relative error = 1.1242125165564469031496138750833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.146 y[1] (analytic) = 3.5581352190138885990673244616476 y[1] (numeric) = 3.5581352190138885990673244616479 absolute error = 3e-31 relative error = 8.4313827759233620921706897229743e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.147 y[1] (analytic) = 3.5582238904053976445611957838243 y[1] (numeric) = 3.5582238904053976445611957838246 absolute error = 3e-31 relative error = 8.4311726647931708594098917800614e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.148 y[1] (analytic) = 3.5583121505730505533138140393782 y[1] (numeric) = 3.5583121505730505533138140393785 absolute error = 3e-31 relative error = 8.4309635384766993191722474245757e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.149 y[1] (analytic) = 3.558400000428587081693953646044 y[1] (numeric) = 3.5584000004285870816939536460443 absolute error = 3e-31 relative error = 8.4307553946680213435599360171096e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = 3.5584874408841572981525767188099 y[1] (numeric) = 3.5584874408841572981525767188102 absolute error = 3e-31 relative error = 8.4305482310613605127913005729037e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.151 y[1] (analytic) = 3.5585744728523206710728406314584 y[1] (numeric) = 3.5585744728523206710728406314587 absolute error = 3e-31 relative error = 8.4303420453510872065101403008025e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.152 y[1] (analytic) = 3.5586610972460451562107056800289 y[1] (numeric) = 3.5586610972460451562107056800292 absolute error = 3e-31 relative error = 8.4301368352317157065596765080852e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.153 y[1] (analytic) = 3.558747314978706283727055407518 y[1] (numeric) = 3.5587473149787062837270554075182 absolute error = 2e-31 relative error = 5.6199550655986008741487604949998e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.154 y[1] (analytic) = 3.5588331269640862448122425576204 y[1] (numeric) = 3.5588331269640862448122425576206 absolute error = 2e-31 relative error = 5.6198195550296249739553202476818e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.155 y[1] (analytic) = 3.5589185341163729779039740328903 y[1] (numeric) = 3.5589185341163729779039740328905 absolute error = 2e-31 relative error = 5.6196846902441685836338152639548e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.156 y[1] (analytic) = 3.5590035373501592544994486393596 y[1] (numeric) = 3.5590035373501592544994486393598 absolute error = 2e-31 relative error = 5.6195504697056058016797241067082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.157 y[1] (analytic) = 3.5590881375804417645626618054011 y[1] (numeric) = 3.5590881375804417645626618054012 absolute error = 1e-31 relative error = 2.8097084459386985593306557514777e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.158 y[1] (analytic) = 3.5591723357226202015277918674544 y[1] (numeric) = 3.5591723357226202015277918674546 absolute error = 2e-31 relative error = 5.6192839552230875316226588717780e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.159 y[1] (analytic) = 3.5592561326924963468995829191534 y[1] (numeric) = 3.5592561326924963468995829191535 absolute error = 1e-31 relative error = 2.8095758291031523330697741778423e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = 3.559339529406273154451639623394 y[1] (numeric) = 3.5593395294062731544516396233941 absolute error = 1e-31 relative error = 2.8095099996453784530148562784690e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.161 y[1] (analytic) = 3.5594225267805538340235497889738 y[1] (numeric) = 3.5594225267805538340235497889739 absolute error = 1e-31 relative error = 2.8094444884701157653594959914820e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.162 y[1] (analytic) = 3.559505125732340934917750914602 y[1] (numeric) = 3.5595051257323409349177509146021 absolute error = 1e-31 relative error = 2.8093792948092964301324859261718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.163 y[1] (analytic) = 3.5595873271790354288970573033388 y[1] (numeric) = 3.5595873271790354288970573033389 absolute error = 1e-31 relative error = 2.8093144178948902040198497024716e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.164 y[1] (analytic) = 3.5596691320384357927837647498593 y[1] (numeric) = 3.5596691320384357927837647498594 absolute error = 1e-31 relative error = 2.8092498569589035205365560981876e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=141.1MB, alloc=4.4MB, time=6.73 TOP MAIN SOLVE Loop x[1] = 1.165 y[1] (analytic) = 3.5597505412287370906612502013618 y[1] (numeric) = 3.5597505412287370906612502013619 absolute error = 1e-31 relative error = 2.8091856112333785740294185190258e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.166 y[1] (analytic) = 3.5598315556685300556789841904433 y[1] (numeric) = 3.5598315556685300556789841904434 absolute error = 1e-31 relative error = 2.8091216799503924075120241347534e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.167 y[1] (analytic) = 3.5599121762768001714618742348546 y[1] (numeric) = 3.5599121762768001714618742348547 absolute error = 1e-31 relative error = 2.8090580623420560043325514596354e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.168 y[1] (analytic) = 3.5599924039729267531248577947136 y[1] (numeric) = 3.5599924039729267531248577947137 absolute error = 1e-31 relative error = 2.8089947576405133836753495121340e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.169 y[1] (analytic) = 3.5600722396766820278936637725082 y[1] (numeric) = 3.5600722396766820278936637725083 absolute error = 1e-31 relative error = 2.8089317650779406998971659676792e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = 3.5601516843082302153326619350505 y[1] (numeric) = 3.5601516843082302153326619350506 absolute error = 1e-31 relative error = 2.8088690838865453456989259190617e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.171 y[1] (analytic) = 3.5602307387881266071807200294562 y[1] (numeric) = 3.5602307387881266071807200294563 absolute error = 1e-31 relative error = 2.8088067132985650591339769815818e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.172 y[1] (analytic) = 3.5603094040373166467959887572152 y[1] (numeric) = 3.5603094040373166467959887572153 absolute error = 1e-31 relative error = 2.8087446525462670344537305244661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.173 y[1] (analytic) = 3.5603876809771350082105351614918 y[1] (numeric) = 3.5603876809771350082105351614919 absolute error = 1e-31 relative error = 2.8086829008619470367916427761588e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.174 y[1] (analytic) = 3.5604655705293046747957453729448 y[1] (numeric) = 3.560465570529304674795745372945 absolute error = 2e-31 relative error = 5.6172429149558570413729868776803e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.175 y[1] (analytic) = 3.5605430736159360175394180485876 y[1] (numeric) = 3.5605430736159360175394180485877 absolute error = 1e-31 relative error = 2.8085603216265617524459332568680e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.176 y[1] (analytic) = 3.5606201911595258729354702265172 y[1] (numeric) = 3.5606201911595258729354702265174 absolute error = 2e-31 relative error = 5.6169989850804458727025714293851e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.177 y[1] (analytic) = 3.5606969240829566204871777067319 y[1] (numeric) = 3.5606969240829566204871777067321 absolute error = 2e-31 relative error = 5.6168779389026266894092033842129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.178 y[1] (analytic) = 3.5607732733094952598248724547172 y[1] (numeric) = 3.5607732733094952598248724547174 absolute error = 2e-31 relative error = 5.6167575031845169034379589567812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.179 y[1] (analytic) = 3.5608492397627924874390199100282 y[1] (numeric) = 3.5608492397627924874390199100283 absolute error = 1e-31 relative error = 2.8083188381955070712531760419239e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = 3.5609248243668817730295994667128 y[1] (numeric) = 3.5609248243668817730295994667129 absolute error = 1e-31 relative error = 2.8082592284935304983915488680830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.181 y[1] (analytic) = 3.5610000280461784354727117761191 y[1] (numeric) = 3.5610000280461784354727117761192 absolute error = 1e-31 relative error = 2.8081999217188216548703810156894e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.182 y[1] (analytic) = 3.561074851725478718405336905402 y[1] (numeric) = 3.5610748517254787184053369054021 absolute error = 1e-31 relative error = 2.8081409171038942383516553007949e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.183 y[1] (analytic) = 3.561149296329958865429167766894 y[1] (numeric) = 3.5611492963299588654291677668942 absolute error = 2e-31 relative error = 5.6161644277625637510907133923283e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.184 y[1] (analytic) = 3.5612233627851741949344436144305 y[1] (numeric) = 3.5612233627851741949344436144307 absolute error = 2e-31 relative error = 5.6160476225670745583627902706806e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.185 y[1] (analytic) = 3.5612970520170581745447087827173 y[1] (numeric) = 3.5612970520170581745447087827175 absolute error = 2e-31 relative error = 5.6159314170864628176645078631836e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.186 y[1] (analytic) = 3.5613703649519214951834222249062 y[1] (numeric) = 3.5613703649519214951834222249064 absolute error = 2e-31 relative error = 5.6158158097859052711749639285313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.187 y[1] (analytic) = 3.5614433025164511447633437816912 y[1] (numeric) = 3.5614433025164511447633437816914 absolute error = 2e-31 relative error = 5.6157007991306118211623212960772e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.188 y[1] (analytic) = 3.5615158656377094814996234924617 y[1] (numeric) = 3.5615158656377094814996234924619 absolute error = 2e-31 relative error = 5.6155863835858238747469789683754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.189 y[1] (analytic) = 3.5615880552431333068475206353461 y[1] (numeric) = 3.5615880552431333068475206353463 absolute error = 2e-31 relative error = 5.6154725616168126963752933944399e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = 3.5616598722605329380656795583505 y[1] (numeric) = 3.5616598722605329380656795583507 absolute error = 2e-31 relative error = 5.6153593316888777680061881698663e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.191 y[1] (analytic) = 3.5617313176180912804058897382378 y[1] (numeric) = 3.5617313176180912804058897382381 absolute error = 3e-31 relative error = 8.4228700384010177355195232654469e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.192 y[1] (analytic) = 3.5618023922443628989302578773116 y[1] (numeric) = 3.5618023922443628989302578773119 absolute error = 3e-31 relative error = 8.4227019627263488377045866636572e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=144.9MB, alloc=4.4MB, time=6.92 TOP MAIN SOLVE Loop x[1] = 1.193 y[1] (analytic) = 3.5618730970682730899567202208534 y[1] (numeric) = 3.5618730970682730899567202208537 absolute error = 3e-31 relative error = 8.4225347682073715177356231426481e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.194 y[1] (analytic) = 3.5619434330191169521338236496256 y[1] (numeric) = 3.5619434330191169521338236496259 absolute error = 3e-31 relative error = 8.4223684525421799379370786271946e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.195 y[1] (analytic) = 3.56201340102655845714570447258 y[1] (numeric) = 3.5620134010265584571457044725803 absolute error = 3e-31 relative error = 8.4222030134288984619671916640291e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.196 y[1] (analytic) = 3.5620830020206295200481942147168 y[1] (numeric) = 3.562083002020629520048194214717 absolute error = 2e-31 relative error = 5.6146922990437861763930998219815e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.197 y[1] (analytic) = 3.5621522369317290692369820639096 y[1] (numeric) = 3.5621522369317290692369820639098 absolute error = 2e-31 relative error = 5.6145831704337999686934468573104e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.198 y[1] (analytic) = 3.5622211066906221160487640084583 y[1] (numeric) = 3.5622211066906221160487640084585 absolute error = 2e-31 relative error = 5.6144746215881074666612055195102e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.199 y[1] (analytic) = 3.5622896122284388239963090641411 y[1] (numeric) = 3.5622896122284388239963090641413 absolute error = 2e-31 relative error = 5.6143666509721895920818851210452e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 3.5623577544766735776383733556231 y[1] (numeric) = 3.5623577544766735776383733556233 absolute error = 2e-31 relative error = 5.6142592570515395108606732783355e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.201 y[1] (analytic) = 3.5624255343671840510853931822298 y[1] (numeric) = 3.56242553436718405108539318223 absolute error = 2e-31 relative error = 5.6141524382916610782122049610130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.202 y[1] (analytic) = 3.5624929528321902761418885623146 y[1] (numeric) = 3.5624929528321902761418885623147 absolute error = 1e-31 relative error = 2.8070230965790336457965952104805e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.203 y[1] (analytic) = 3.5625600108042737100865091137382 y[1] (numeric) = 3.5625600108042737100865091137383 absolute error = 1e-31 relative error = 2.8069702600581393756902769812232e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.204 y[1] (analytic) = 3.5626267092163763030906544903386 y[1] (numeric) = 3.5626267092163763030906544903387 absolute error = 1e-31 relative error = 2.8069177088159110646488792609395e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.205 y[1] (analytic) = 3.5626930490017995652766019556908 y[1] (numeric) = 3.562693049001799565276601955691 absolute error = 2e-31 relative error = 5.6137308841702286445920138715846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.206 y[1] (analytic) = 3.5627590310942036334160740359532 y[1] (numeric) = 3.5627590310942036334160740359534 absolute error = 2e-31 relative error = 5.6136269181970325479650889462506e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.207 y[1] (analytic) = 3.5628246564276063372701795531534 y[1] (numeric) = 3.5628246564276063372701795531536 absolute error = 2e-31 relative error = 5.6135235181777696132604713132665e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.208 y[1] (analytic) = 3.5628899259363822655716616988964 y[1] (numeric) = 3.5628899259363822655716616988966 absolute error = 2e-31 relative error = 5.6134206825779756369096391688197e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.209 y[1] (analytic) = 3.5629548405552618316503871661676 y[1] (numeric) = 3.5629548405552618316503871661678 absolute error = 2e-31 relative error = 5.6133184098631849451402334401978e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = 3.5630194012193303387030107136648 y[1] (numeric) = 3.5630194012193303387030107136649 absolute error = 1e-31 relative error = 2.8066083492494644544744698055316e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.211 y[1] (analytic) = 3.5630836088640270447077498929158 y[1] (numeric) = 3.5630836088640270447077498929159 absolute error = 1e-31 relative error = 2.8065577734753672334209553801898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.212 y[1] (analytic) = 3.5631474644251442269852050233301 y[1] (numeric) = 3.5631474644251442269852050233302 absolute error = 1e-31 relative error = 2.8065074768420613276727925084842e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.213 y[1] (analytic) = 3.5632109688388262464061598542857 y[1] (numeric) = 3.5632109688388262464061598542858 absolute error = 1e-31 relative error = 2.8064574585823035736453860901031e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.214 y[1] (analytic) = 3.5632741230415686112472987063726 y[1] (numeric) = 3.5632741230415686112472987063727 absolute error = 1e-31 relative error = 2.8064077179288463989364528214733e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.215 y[1] (analytic) = 3.5633369279702170406957762359984 y[1] (numeric) = 3.5633369279702170406957762359984 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.216 y[1] (analytic) = 3.5633993845619665280035763187075 y[1] (numeric) = 3.5633993845619665280035763187076 absolute error = 1e-31 relative error = 2.8063090663718171191854457930914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.217 y[1] (analytic) = 3.5634614937543604032925968967778 y[1] (numeric) = 3.5634614937543604032925968967779 absolute error = 1e-31 relative error = 2.8062601539337213369839023890782e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.218 y[1] (analytic) = 3.5635232564852893960113979859304 y[1] (numeric) = 3.5635232564852893960113979859305 absolute error = 1e-31 relative error = 2.8062115160328773530822091185486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.219 y[1] (analytic) = 3.5635846736929906970445503843283 y[1] (numeric) = 3.5635846736929906970445503843284 absolute error = 1e-31 relative error = 2.8061631519020047826271187868825e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 3.5636457463160470204755229744352 y[1] (numeric) = 3.5636457463160470204755229744353 absolute error = 1e-31 relative error = 2.8061150607738145518606059662321e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=148.7MB, alloc=4.4MB, time=7.10 TOP MAIN SOLVE Loop x[1] = 1.221 y[1] (analytic) = 3.5637064752933856650040468547703 y[1] (numeric) = 3.5637064752933856650040468547704 absolute error = 1e-31 relative error = 2.8060672418810081984079984623975e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.222 y[1] (analytic) = 3.5637668615642775750188948841163 y[1] (numeric) = 3.5637668615642775750188948841164 absolute error = 1e-31 relative error = 2.8060196944562771754661511105357e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.223 y[1] (analytic) = 3.5638269060683364013270155653223 y[1] (numeric) = 3.5638269060683364013270155653225 absolute error = 2e-31 relative error = 5.6119448354646043197864050429193e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.224 y[1] (analytic) = 3.5638866097455175615399605394907 y[1] (numeric) = 3.5638866097455175615399605394909 absolute error = 2e-31 relative error = 5.6118508218835047284029305466109e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.225 y[1] (analytic) = 3.5639459735361173001185453040408 y[1] (numeric) = 3.5639459735361173001185453040409 absolute error = 1e-31 relative error = 2.8058786733172848524550098338825e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.226 y[1] (analytic) = 3.5640049983807717480766831099108 y[1] (numeric) = 3.564004998380771748076683109911 absolute error = 2e-31 relative error = 5.6116644081830877201470244139560e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.227 y[1] (analytic) = 3.5640636852204559823453323339869 y[1] (numeric) = 3.5640636852204559823453323339871 absolute error = 2e-31 relative error = 5.6115720049943202350878898423306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.228 y[1] (analytic) = 3.5641220349964830847974979627314 y[1] (numeric) = 3.5641220349964830847974979627316 absolute error = 2e-31 relative error = 5.6114801355335003560834010443592e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.229 y[1] (analytic) = 3.5641800486505032009352281619323 y[1] (numeric) = 3.5641800486505032009352281619325 absolute error = 2e-31 relative error = 5.6113887982658314979254923791238e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = 3.5642377271245025982395472454977 y[1] (numeric) = 3.5642377271245025982395472454979 absolute error = 2e-31 relative error = 5.6112979916564860547368349499170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.231 y[1] (analytic) = 3.5642950713608027241842666932846 y[1] (numeric) = 3.5642950713608027241842666932849 absolute error = 3e-31 relative error = 8.4168115712559061180334053592418e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.232 y[1] (analytic) = 3.5643520823020592639146162040725 y[1] (numeric) = 3.5643520823020592639146162040727 absolute error = 2e-31 relative error = 5.6111179642732919665520095735909e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.233 y[1] (analytic) = 3.5644087608912611975916371049707 y[1] (numeric) = 3.5644087608912611975916371049709 absolute error = 2e-31 relative error = 5.6110287404296211540798706700696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.234 y[1] (analytic) = 3.5644651080717298574032807727899 y[1] (numeric) = 3.5644651080717298574032807727902 absolute error = 3e-31 relative error = 8.4164100616569402273497609281838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.235 y[1] (analytic) = 3.5645211247871179842431550561994 y[1] (numeric) = 3.5645211247871179842431550561997 absolute error = 3e-31 relative error = 8.4162777971449598808664088371544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.236 y[1] (analytic) = 3.5645768119814087840578620198444 y[1] (numeric) = 3.5645768119814087840578620198447 absolute error = 3e-31 relative error = 8.4161463148059288877905616014406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.237 y[1] (analytic) = 3.5646321705989149838638706630091 y[1] (numeric) = 3.5646321705989149838638706630094 absolute error = 3e-31 relative error = 8.4160156123372252866524983250243e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.238 y[1] (analytic) = 3.564687201584277887434868595872 y[1] (numeric) = 3.5646872015842778874348685958722 absolute error = 2e-31 relative error = 5.6105904582907767058710949600919e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.239 y[1] (analytic) = 3.5647419058824664306605369859242 y[1] (numeric) = 3.5647419058824664306605369859244 absolute error = 2e-31 relative error = 5.6105043585333334937525311575870e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = 3.5647962844387762365776934156974 y[1] (numeric) = 3.5647962844387762365776934156976 absolute error = 2e-31 relative error = 5.6104187740839446983340185764566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.241 y[1] (analytic) = 3.5648503381988286700747476205784 y[1] (numeric) = 3.5648503381988286700747476205786 absolute error = 2e-31 relative error = 5.6103337034073560063928781523091e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.242 y[1] (analytic) = 3.5649040681085698922704154021776 y[1] (numeric) = 3.5649040681085698922704154021778 absolute error = 2e-31 relative error = 5.6102491449682667462794135298106e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.243 y[1] (analytic) = 3.564957475114269914567636338457 y[1] (numeric) = 3.5649574751142699145676363384572 absolute error = 2e-31 relative error = 5.6101650972313286608360008170613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.244 y[1] (analytic) = 3.5650105601625216523836412366225 y[1] (numeric) = 3.5650105601625216523836412366227 absolute error = 2e-31 relative error = 5.6100815586611446881883562303801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.245 y[1] (analytic) = 3.5650633242002399785571155986333 y[1] (numeric) = 3.5650633242002399785571155986335 absolute error = 2e-31 relative error = 5.6099985277222677504124588804761e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.246 y[1] (analytic) = 3.5651157681746607764334056920865 y[1] (numeric) = 3.5651157681746607764334056920867 absolute error = 2e-31 relative error = 5.6099160028791995500806220227486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.247 y[1] (analytic) = 3.5651678930333399926287141411918 y[1] (numeric) = 3.565167893033339992628714141192 absolute error = 2e-31 relative error = 5.6098339825963893746902219969090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.248 y[1] (analytic) = 3.5652196997241526894742322735619 y[1] (numeric) = 3.5652196997241526894742322735621 absolute error = 2e-31 relative error = 5.6097524653382329089786098140534e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=152.5MB, alloc=4.4MB, time=7.28 TOP MAIN SOLVE Loop x[1] = 1.249 y[1] (analytic) = 3.565271189195292097141156778607 y[1] (numeric) = 3.5652711891952920971411567786072 absolute error = 2e-31 relative error = 5.6096714495690710551277459125248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = 3.565322362395268665447538552438 y[1] (numeric) = 3.5653223623952686654475385524382 absolute error = 2e-31 relative error = 5.6095909337531887608621139971802e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.251 y[1] (analytic) = 3.5653732202729091153479119223505 y[1] (numeric) = 3.5653732202729091153479119223507 absolute error = 2e-31 relative error = 5.6095109163548138554434850998197e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.252 y[1] (analytic) = 3.5654237637773554901066527611811 y[1] (numeric) = 3.5654237637773554901066527611813 absolute error = 2e-31 relative error = 5.6094313958381158935661180513252e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.253 y[1] (analytic) = 3.5654739938580642061560143180992 y[1] (numeric) = 3.5654739938580642061560143180994 absolute error = 2e-31 relative error = 5.6093523706672050071559974382928e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.254 y[1] (analytic) = 3.5655239114648051036397899077194 y[1] (numeric) = 3.5655239114648051036397899077196 absolute error = 2e-31 relative error = 5.6092738393061307650777248284128e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.255 y[1] (analytic) = 3.565573517547660496643551913792 y[1] (numeric) = 3.5655735175476604966435519137922 absolute error = 2e-31 relative error = 5.6091958002188810407526935893470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.256 y[1] (analytic) = 3.565622813057024223112416877154 y[1] (numeric) = 3.5656228130570242231124168771542 absolute error = 2e-31 relative error = 5.6091182518693808876921919951620e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.257 y[1] (analytic) = 3.5656717989436006944572867500969 y[1] (numeric) = 3.565671798943600694457286750097 absolute error = 1e-31 relative error = 2.8045205963607457114745467561413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.258 y[1] (analytic) = 3.5657204761584039448505167108291 y[1] (numeric) = 3.5657204761584039448505167108292 absolute error = 1e-31 relative error = 2.8044823106195043592459035916207e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.259 y[1] (analytic) = 3.5657688456527566802119602422881 y[1] (numeric) = 3.5657688456527566802119602422883 absolute error = 2e-31 relative error = 5.6088885358856627005041748809676e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = 3.5658169083782893268863424891765 y[1] (numeric) = 3.5658169083782893268863424891766 absolute error = 1e-31 relative error = 2.8044064675625580283075079444078e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.261 y[1] (analytic) = 3.5658646652869390800129132157692 y[1] (numeric) = 3.5658646652869390800129132157694 absolute error = 2e-31 relative error = 5.6087378174209631510610327717223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.262 y[1] (analytic) = 3.5659121173309489515883309947615 y[1] (numeric) = 3.5659121173309489515883309947616 absolute error = 1e-31 relative error = 2.8043315906183644738934029208100e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.263 y[1] (analytic) = 3.5659592654628668182237305641911 y[1] (numeric) = 3.5659592654628668182237305641913 absolute error = 2e-31 relative error = 5.6085890250358679414856166852958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.264 y[1] (analytic) = 3.5660061106355444685969255952916 y[1] (numeric) = 3.5660061106355444685969255952918 absolute error = 2e-31 relative error = 5.6085153472817630965848542150425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.265 y[1] (analytic) = 3.566052653802136650600699418991 y[1] (numeric) = 3.5660526538021366506006994189912 absolute error = 2e-31 relative error = 5.6084421464377247941797695215256e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.266 y[1] (analytic) = 3.5660988959161001181881365626884 y[1] (numeric) = 3.5660988959161001181881365626886 absolute error = 2e-31 relative error = 5.6083694209669897869193584540091e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.267 y[1] (analytic) = 3.5661448379311926779159482518965 y[1] (numeric) = 3.5661448379311926779159482518967 absolute error = 2e-31 relative error = 5.6082971693327201618481633252941e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.268 y[1] (analytic) = 3.5661904808014722351867453333445 y[1] (numeric) = 3.5661904808014722351867453333447 absolute error = 2e-31 relative error = 5.6082253899980023112077974371618e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.269 y[1] (analytic) = 3.5662358254812958401912123771904 y[1] (numeric) = 3.5662358254812958401912123771906 absolute error = 2e-31 relative error = 5.6081540814258459112020082465797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = 3.566280872925318733551137016088 y[1] (numeric) = 3.5662808729253187335511370160881 absolute error = 1e-31 relative error = 2.8040416210395914543645534716043e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.271 y[1] (analytic) = 3.5663256240884933916642488779995 y[1] (numeric) = 3.5663256240884933916642488779997 absolute error = 2e-31 relative error = 5.6080128704208665160856039846151e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.272 y[1] (analytic) = 3.566370079926068571751822767837 y[1] (numeric) = 3.5663700799260685717518227678372 absolute error = 2e-31 relative error = 5.6079429649136702136449017368316e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.273 y[1] (analytic) = 3.5664142413935883566100010502475 y[1] (numeric) = 3.5664142413935883566100010502477 absolute error = 2e-31 relative error = 5.6078735240202867605149067942982e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.274 y[1] (analytic) = 3.5664581094468911990657904821418 y[1] (numeric) = 3.566458109446891199065790482142 absolute error = 2e-31 relative error = 5.6078045462033272131784358045467e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.275 y[1] (analytic) = 3.5665016850421089661386890388894 y[1] (numeric) = 3.5665016850421089661386890388896 absolute error = 2e-31 relative error = 5.6077360299253199521202996990204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.276 y[1] (analytic) = 3.5665449691356659829088985724734 y[1] (numeric) = 3.5665449691356659829088985724735 absolute error = 1e-31 relative error = 2.8038339868243548582224810659792e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=156.4MB, alloc=4.4MB, time=7.47 TOP MAIN SOLVE Loop x[1] = 1.277 y[1] (analytic) = 3.566587962684278076093079433313 y[1] (numeric) = 3.5665879626842780760930794333131 absolute error = 1e-31 relative error = 2.8038001879179283232443393270361e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.278 y[1] (analytic) = 3.5666306666449516173286034799198 y[1] (numeric) = 3.5666306666449516173286034799199 absolute error = 1e-31 relative error = 2.8037666174745176672150168482989e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.279 y[1] (analytic) = 3.5666730819749825661672621920538 y[1] (numeric) = 3.5666730819749825661672621920539 absolute error = 1e-31 relative error = 2.8037332747252169414514014069944e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = 3.5667152096319555127793868935926 y[1] (numeric) = 3.5667152096319555127793868935927 absolute error = 1e-31 relative error = 2.8037001589010764858075389149045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.281 y[1] (analytic) = 3.5667570505737427203693383809136 y[1] (numeric) = 3.5667570505737427203693383809137 absolute error = 1e-31 relative error = 2.8036672692331024659893012750295e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.282 y[1] (analytic) = 3.5667986057585031673033235412189 y[1] (numeric) = 3.566798605758503167303323541219 absolute error = 1e-31 relative error = 2.8036346049522564148761382755061e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.283 y[1] (analytic) = 3.5668398761446815889504968329071 y[1] (numeric) = 3.5668398761446815889504968329072 absolute error = 1e-31 relative error = 2.8036021652894547778518971072104e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.284 y[1] (analytic) = 3.5668808626910075192383047868113 y[1] (numeric) = 3.5668808626910075192383047868114 absolute error = 1e-31 relative error = 2.8035699494755684621466978357230e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.285 y[1] (analytic) = 3.5669215663564943319230319728772 y[1] (numeric) = 3.5669215663564943319230319728773 absolute error = 1e-31 relative error = 2.8035379567414223901918578138348e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.286 y[1] (analytic) = 3.5669619881004382815765071616572 y[1] (numeric) = 3.5669619881004382815765071616574 absolute error = 2e-31 relative error = 5.6070123726355901139797251748023e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.287 y[1] (analytic) = 3.567002128882417544289928693834 y[1] (numeric) = 3.5670021288824175442899286938341 absolute error = 1e-31 relative error = 2.8034746374354180915013853250092e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.288 y[1] (analytic) = 3.5670419896622912580957683538666 y[1] (numeric) = 3.5670419896622912580957683538667 absolute error = 1e-31 relative error = 2.8034433093249758220513611904953e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.289 y[1] (analytic) = 3.5670815714001985631087133257782 y[1] (numeric) = 3.5670815714001985631087133257784 absolute error = 2e-31 relative error = 5.6068244024342096915122547534176e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = 3.5671208750565576413866060900612 y[1] (numeric) = 3.5671208750565576413866060900613 absolute error = 1e-31 relative error = 2.8033813123423936019736437289817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.291 y[1] (analytic) = 3.5671599015920647565123424006801 y[1] (numeric) = 3.5671599015920647565123424006802 absolute error = 1e-31 relative error = 2.8033506419313819497788130073865e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.292 y[1] (analytic) = 3.5671986519676932928976877601955 y[1] (numeric) = 3.5671986519676932928976877601957 absolute error = 2e-31 relative error = 5.6066403784291214989318477359160e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.293 y[1] (analytic) = 3.5672371271446927948099730891114 y[1] (numeric) = 3.5672371271446927948099730891116 absolute error = 2e-31 relative error = 5.6065799068447428961604871689950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.294 y[1] (analytic) = 3.5672753280845880051226305626697 y[1] (numeric) = 3.5672753280845880051226305626699 absolute error = 2e-31 relative error = 5.6065198675704113379615827685038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.295 y[1] (analytic) = 3.5673132557491779037905308644779 y[1] (numeric) = 3.5673132557491779037905308644781 absolute error = 2e-31 relative error = 5.6064602590668096108726540651292e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.296 y[1] (analytic) = 3.5673509111005347460510833815503 y[1] (numeric) = 3.5673509111005347460510833815505 absolute error = 2e-31 relative error = 5.6064010797945192365131859468147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.297 y[1] (analytic) = 3.567388295101003100352061139584 y[1] (numeric) = 3.5673882951010031003520611395843 absolute error = 3e-31 relative error = 8.4095134923210295123825557432358e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.298 y[1] (analytic) = 3.5674254087131988860071125505643 y[1] (numeric) = 3.5674254087131988860071125505646 absolute error = 3e-31 relative error = 8.4094260041785313039572957095534e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.299 y[1] (analytic) = 3.5674622529000084105799223171061 y[1] (numeric) = 3.5674622529000084105799223171064 absolute error = 3e-31 relative error = 8.4093391529546936983039830285610e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 3.5674988286245874069979841092929 y[1] (numeric) = 3.5674988286245874069979841092932 absolute error = 3e-31 relative error = 8.4092529363397695596107311165831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.301 y[1] (analytic) = 3.5675351368503600703969479001576 y[1] (numeric) = 3.567535136850360070396947900158 absolute error = 4e-31 relative error = 1.1212223136031805334611203690045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.302 y[1] (analytic) = 3.5675711785410180946965051153801 y[1] (numeric) = 3.5675711785410180946965051153805 absolute error = 4e-31 relative error = 1.1212109863595844333303862238534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.303 y[1] (analytic) = 3.5676069546605197089087750212337 y[1] (numeric) = 3.5676069546605197089087750212341 absolute error = 4e-31 relative error = 1.1211997428064844702208379699069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.304 y[1] (analytic) = 3.567642466173088713180156042316 y[1] (numeric) = 3.5676424661730887131801560423164 absolute error = 4e-31 relative error = 1.1211885826358293244397324809754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=7.64 x[1] = 1.305 y[1] (analytic) = 3.5676777140432135145676059671309 y[1] (numeric) = 3.5676777140432135145676059671313 absolute error = 4e-31 relative error = 1.1211775055395460475529642269036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.306 y[1] (analytic) = 3.5677126992356461625503152651623 y[1] (numeric) = 3.5677126992356461625503152651627 absolute error = 4e-31 relative error = 1.1211665112095399176237163974393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.307 y[1] (analytic) = 3.5677474227154013842777380036848 y[1] (numeric) = 3.5677474227154013842777380036853 absolute error = 5e-31 relative error = 1.4014444991721178700928357433620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.308 y[1] (analytic) = 3.5677818854477556195549451162013 y[1] (numeric) = 3.5677818854477556195549451162017 absolute error = 4e-31 relative error = 1.1211447696158704861717912174969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.309 y[1] (analytic) = 3.567816088398246055566265037072 y[1] (numeric) = 3.5678160883982460555662650370724 absolute error = 4e-31 relative error = 1.1211340217359075931389576577320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = 3.5678500325326696613381769786162 y[1] (numeric) = 3.5678500325326696613381769786166 absolute error = 4e-31 relative error = 1.1211233553896223858902063885313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.311 y[1] (analytic) = 3.567883718817082221942422387711 y[1] (numeric) = 3.5678837188170822219424223877114 absolute error = 4e-31 relative error = 1.1211127702688091603944859478601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.312 y[1] (analytic) = 3.5679171482177973724403003786957 y[1] (numeric) = 3.5679171482177973724403003786961 absolute error = 4e-31 relative error = 1.1211022660652396046653167074182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.313 y[1] (analytic) = 3.5679503217013856315691131982065 y[1] (numeric) = 3.5679503217013856315691131982069 absolute error = 4e-31 relative error = 1.1210918424706626653790041667745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.314 y[1] (analytic) = 3.5679832402346734351717280354146 y[1] (numeric) = 3.567983240234673435171728035415 absolute error = 4e-31 relative error = 1.1210814991768044161218393256669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.315 y[1] (analytic) = 3.5680159047847421693702217480263 y[1] (numeric) = 3.5680159047847421693702217480266 absolute error = 3e-31 relative error = 8.4080342690652594545034184770738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.316 y[1] (analytic) = 3.5680483163189272034845753303184 y[1] (numeric) = 3.5680483163189272034845753303188 absolute error = 4e-31 relative error = 1.1210610522580331374828473952415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.317 y[1] (analytic) = 3.5680804758048169226973852044361 y[1] (numeric) = 3.5680804758048169226973852044364 absolute error = 3e-31 relative error = 8.4078821101234254515316297914382e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.318 y[1] (analytic) = 3.5681123842102517604655586701584 y[1] (numeric) = 3.5681123842102517604655586701587 absolute error = 3e-31 relative error = 8.4078069213170399380387295070693e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.319 y[1] (analytic) = 3.5681440425033232306799611013583 y[1] (numeric) = 3.5681440425033232306799611013586 absolute error = 3e-31 relative error = 8.4077323232031654075228188084595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = 3.5681754516523729595739827294274 y[1] (numeric) = 3.5681754516523729595739827294276 absolute error = 2e-31 relative error = 5.6051055423124653711533770331213e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.321 y[1] (analytic) = 3.568206612625991717381993105018 y[1] (numeric) = 3.5682066126259917173819931050183 absolute error = 3e-31 relative error = 8.4075848898003559598243858440956e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.322 y[1] (analytic) = 3.5682375263930184497486515795692 y[1] (numeric) = 3.5682375263930184497486515795695 absolute error = 3e-31 relative error = 8.4075120498846781782069112114213e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.323 y[1] (analytic) = 3.568268193922539308890042397223 y[1] (numeric) = 3.5682681939225393088900423972233 absolute error = 3e-31 relative error = 8.4074397914080238826094873175462e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.324 y[1] (analytic) = 3.5682986161838866845076032359169 y[1] (numeric) = 3.5682986161838866845076032359172 absolute error = 3e-31 relative error = 8.4073681120565714874685166734756e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.325 y[1] (analytic) = 3.5683287941466382344558162836429 y[1] (numeric) = 3.5683287941466382344558162836432 absolute error = 3e-31 relative error = 8.4072970095163177975854606983337e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.326 y[1] (analytic) = 3.5683587287806159151646311821005 y[1] (numeric) = 3.5683587287806159151646311821008 absolute error = 3e-31 relative error = 8.4072264814730771670803193096236e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.327 y[1] (analytic) = 3.5683884210558850118175894152408 y[1] (numeric) = 3.5683884210558850118175894152411 absolute error = 3e-31 relative error = 8.4071565256124806706444086817561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.328 y[1] (analytic) = 3.5684178719427531682866199644962 y[1] (numeric) = 3.5684178719427531682866199644965 absolute error = 3e-31 relative error = 8.4070871396199752870987600108148e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.329 y[1] (analytic) = 3.5684470824117694168244762958188 y[1] (numeric) = 3.5684470824117694168244762958191 absolute error = 3e-31 relative error = 8.4070183211808230952644640393005e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = 3.5684760534337232075157849860106 y[1] (numeric) = 3.5684760534337232075157849860109 absolute error = 3e-31 relative error = 8.4069500679801004821512877288444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.331 y[1] (analytic) = 3.5685047859796434374876765372148 y[1] (numeric) = 3.5685047859796434374876765372151 absolute error = 3e-31 relative error = 8.4068823777026973634708908212795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.332 y[1] (analytic) = 3.5685332810207974798809691688573 y[1] (numeric) = 3.5685332810207974798809691688577 absolute error = 4e-31 relative error = 1.1209086997377755221974628131533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=7.83 x[1] = 1.333 y[1] (analytic) = 3.5685615395286902125828766157741 y[1] (numeric) = 3.5685615395286902125828766157745 absolute error = 4e-31 relative error = 1.1208998235541963100222223920543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.334 y[1] (analytic) = 3.5685895624750630467222111997338 y[1] (numeric) = 3.5685895624750630467222111997342 absolute error = 4e-31 relative error = 1.1208910215008654717020739041124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.335 y[1] (analytic) = 3.5686173508318929549280536790744 y[1] (numeric) = 3.5686173508318929549280536790747 absolute error = 3e-31 relative error = 8.4066171995175090366425472913770e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.336 y[1] (analytic) = 3.5686449055713914993528616177001 y[1] (numeric) = 3.5686449055713914993528616177004 absolute error = 3e-31 relative error = 8.4065522891234726205210680504101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.337 y[1] (analytic) = 3.5686722276660038594609882502518 y[1] (numeric) = 3.5686722276660038594609882502522 absolute error = 4e-31 relative error = 1.1208650570344182932102373490103e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.338 y[1] (analytic) = 3.5686993180884078595835840548494 y[1] (numeric) = 3.5686993180884078595835840548498 absolute error = 4e-31 relative error = 1.1208565484140088799866981732322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.339 y[1] (analytic) = 3.5687261778115129962408534784235 y[1] (numeric) = 3.5687261778115129962408534784239 absolute error = 4e-31 relative error = 1.1208481123796843183779682636626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = 3.5687528078084594652326394923001 y[1] (numeric) = 3.5687528078084594652326394923006 absolute error = 5e-31 relative error = 1.4010496857781688661159836958788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.341 y[1] (analytic) = 3.5687792090526171884983088873713 y[1] (numeric) = 3.5687792090526171884983088873718 absolute error = 5e-31 relative error = 1.4010393210420323455631263410388e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.342 y[1] (analytic) = 3.5688053825175848407469114488854 y[1] (numeric) = 3.5688053825175848407469114488859 absolute error = 5e-31 relative error = 1.4010290458799943057265894510694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.343 y[1] (analytic) = 3.568831329177188875858586380618 y[1] (numeric) = 3.5688313291771888758585863806185 absolute error = 5e-31 relative error = 1.4010188599058207390996060450643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.344 y[1] (analytic) = 3.568857050005482553058189576934 y[1] (numeric) = 3.5688570500054825530581895769345 absolute error = 5e-31 relative error = 1.4010087627332450581407642684715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.345 y[1] (analytic) = 3.5688825459767449628621155690343 y[1] (numeric) = 3.5688825459767449628621155690348 absolute error = 5e-31 relative error = 1.4009987539759679942276926220794e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.346 y[1] (analytic) = 3.5689078180654800527992881984827 y[1] (numeric) = 3.5689078180654800527992881984832 absolute error = 5e-31 relative error = 1.4009888332476574986806594558804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.347 y[1] (analytic) = 3.5689328672464156529072942969415 y[1] (numeric) = 3.568932867246415652907294296942 absolute error = 5e-31 relative error = 1.4009790001619486458571385231548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.348 y[1] (analytic) = 3.5689576944945025010046348759012 y[1] (numeric) = 3.5689576944945025010046348759018 absolute error = 6e-31 relative error = 1.6811631051989322459820701700562e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.349 y[1] (analytic) = 3.5689823007849132677400685540719 y[1] (numeric) = 3.5689823007849132677400685540725 absolute error = 6e-31 relative error = 1.6811515144472534568829442554277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = 3.5690066870930415814200221730106 y[1] (numeric) = 3.5690066870930415814200221730112 absolute error = 6e-31 relative error = 1.6811400274755450670454784050255e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.351 y[1] (analytic) = 3.5690308543945010526150437734946 y[1] (numeric) = 3.5690308543945010526150437734951 absolute error = 5e-31 relative error = 1.4009405365166752026327782099354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.352 y[1] (analytic) = 3.5690548036651242985462733261044 y[1] (numeric) = 3.5690548036651242985462733261049 absolute error = 5e-31 relative error = 1.4009311358473434628731033617780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.353 y[1] (analytic) = 3.5690785358809619672529068294664 y[1] (numeric) = 3.5690785358809619672529068294669 absolute error = 5e-31 relative error = 1.4009218205017282302652591743579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.354 y[1] (analytic) = 3.5691020520182817615416296086076 y[1] (numeric) = 3.5691020520182817615416296086081 absolute error = 5e-31 relative error = 1.4009125900932319012567278725708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.355 y[1] (analytic) = 3.56912535305356746271899486391 y[1] (numeric) = 3.5691253530535674627189948639105 absolute error = 5e-31 relative error = 1.4009034442352232947695009623432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.356 y[1] (analytic) = 3.5691484399635179541077237382026 y[1] (numeric) = 3.5691484399635179541077237382031 absolute error = 5e-31 relative error = 1.4008943825410375739805582728712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.357 y[1] (analytic) = 3.5691713137250462443479033856117 y[1] (numeric) = 3.5691713137250462443479033856122 absolute error = 5e-31 relative error = 1.4008854046239761701837910828070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.358 y[1] (analytic) = 3.5691939753152784904840597408879 y[1] (numeric) = 3.5691939753152784904840597408884 absolute error = 5e-31 relative error = 1.4008765100973067087344120789371e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.359 y[1] (analytic) = 3.5692164257115530208390819020577 y[1] (numeric) = 3.5692164257115530208390819020582 absolute error = 5e-31 relative error = 1.4008676985742629370768937834298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = 3.5692386658914193576759752523919 y[1] (numeric) = 3.5692386658914193576759752523924 absolute error = 5e-31 relative error = 1.4008589696680446548574759246964e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=8.02 x[1] = 1.361 y[1] (analytic) = 3.5692606968326372396484206598579 y[1] (numeric) = 3.5692606968326372396484206598585 absolute error = 6e-31 relative error = 1.6810203875901811753467372207025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.362 y[1] (analytic) = 3.5692825195131756440411173034146 y[1] (numeric) = 3.5692825195131756440411173034152 absolute error = 6e-31 relative error = 1.6810101097904563363224913891515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.363 y[1] (analytic) = 3.5693041349112118088008868857249 y[1] (numeric) = 3.5693041349112118088008868857255 absolute error = 6e-31 relative error = 1.6809999297381961381016612835688e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.364 y[1] (analytic) = 3.5693255440051302543595172011012 y[1] (numeric) = 3.5693255440051302543595172011018 absolute error = 6e-31 relative error = 1.6809898469690766022515772918311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.365 y[1] (analytic) = 3.5693467477735218052493232357583 y[1] (numeric) = 3.5693467477735218052493232357589 absolute error = 6e-31 relative error = 1.6809798610187326312225707271949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.366 y[1] (analytic) = 3.5693677471951826115124041847311 y[1] (numeric) = 3.5693677471951826115124041847317 absolute error = 6e-31 relative error = 1.6809699714227579395180136569939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.367 y[1] (analytic) = 3.5693885432491131699045749761186 y[1] (numeric) = 3.5693885432491131699045749761192 absolute error = 6e-31 relative error = 1.6809601777167049873745375339887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.368 y[1] (analytic) = 3.5694091369145173448949510986408 y[1] (numeric) = 3.5694091369145173448949510986413 absolute error = 5e-31 relative error = 1.4007920661967374307947216238408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.369 y[1] (analytic) = 3.5694295291708013894621657328424 y[1] (numeric) = 3.569429529170801389462165732843 absolute error = 6e-31 relative error = 1.6809408761163674910460948996704e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = 3.5694497209975729656881983896453 y[1] (numeric) = 3.5694497209975729656881983896459 absolute error = 6e-31 relative error = 1.6809313672929810342898520015739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.371 y[1] (analytic) = 3.5694697133746401651507944623374 y[1] (numeric) = 3.569469713374640165150794462338 absolute error = 6e-31 relative error = 1.6809219525013123769035640074478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.372 y[1] (analytic) = 3.5694895072820105291154552994992 y[1] (numeric) = 3.5694895072820105291154552994998 absolute error = 6e-31 relative error = 1.6809126312767068009360599300997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.373 y[1] (analytic) = 3.569509103699890068527978606795 y[1] (numeric) = 3.5695091036998900685279786067956 absolute error = 6e-31 relative error = 1.6809034031544679890335348859585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.374 y[1] (analytic) = 3.5695285036086822838085291850062 y[1] (numeric) = 3.5695285036086822838085291850068 absolute error = 6e-31 relative error = 1.6808942676698579757254975713326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.375 y[1] (analytic) = 3.569547707988987184448220210156 y[1] (numeric) = 3.5695477079889871844482202101566 absolute error = 6e-31 relative error = 1.6808852243580971012307220052362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.376 y[1] (analytic) = 3.5695667178216003084091854590607 y[1] (numeric) = 3.5695667178216003084091854590613 absolute error = 6e-31 relative error = 1.6808762727543639677844218386780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.377 y[1] (analytic) = 3.5695855340875117413291230801546 y[1] (numeric) = 3.5695855340875117413291230801552 absolute error = 6e-31 relative error = 1.6808674123937953984878631366008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.378 y[1] (analytic) = 3.5696041577679051355312917049631 y[1] (numeric) = 3.5696041577679051355312917049638 absolute error = 7e-31 relative error = 1.9610017499467341317952339331472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.379 y[1] (analytic) = 3.5696225898441567288409398901458 y[1] (numeric) = 3.5696225898441567288409398901465 absolute error = 7e-31 relative error = 1.9609916241329051398177054955492e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = 3.5696408312978343632091500735982 y[1] (numeric) = 3.5696408312978343632091500735989 absolute error = 7e-31 relative error = 1.9609816031421207970162049637676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.381 y[1] (analytic) = 3.5696588831106965031450784206866 y[1] (numeric) = 3.5696588831106965031450784206873 absolute error = 7e-31 relative error = 1.9609716864318453398689881197147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.382 y[1] (analytic) = 3.5696767462646912539575721282947 y[1] (numeric) = 3.5696767462646912539575721282954 absolute error = 7e-31 relative error = 1.9609618734594940666795650062122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.383 y[1] (analytic) = 3.5696944217419553798071459449827 y[1] (numeric) = 3.5696944217419553798071459449834 absolute error = 7e-31 relative error = 1.9609521636824333072546087195323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.384 y[1] (analytic) = 3.5697119105248133215692998551996 y[1] (numeric) = 3.5697119105248133215692998552004 absolute error = 8e-31 relative error = 2.2410772074948347377537770999608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.385 y[1] (analytic) = 3.5697292135957762145101600641513 y[1] (numeric) = 3.5697292135957762145101600641521 absolute error = 8e-31 relative error = 2.2410663446210327373466126549119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.386 y[1] (analytic) = 3.5697463319375409057754256075989 y[1] (numeric) = 3.5697463319375409057754256075997 absolute error = 8e-31 relative error = 2.2410555978239112321180455144769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.387 y[1] (analytic) = 3.5697632665329889716936030975612 y[1] (numeric) = 3.569763266532988971693603097562 absolute error = 8e-31 relative error = 2.2410449664830933211230626382245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.388 y[1] (analytic) = 3.5697800183651857348945123006033 y[1] (numeric) = 3.5697800183651857348945123006042 absolute error = 9e-31 relative error = 2.5211637562254142689005922462359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=8.20 x[1] = 1.389 y[1] (analytic) = 3.5697965884173792812440454301247 y[1] (numeric) = 3.5697965884173792812440454301255 absolute error = 8e-31 relative error = 2.2410240476885802305901915422548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = 3.569812977672999476596163217804 y[1] (numeric) = 3.5698129776729994765961632178049 absolute error = 9e-31 relative error = 2.5211404788680821071754371765028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.391 y[1] (analytic) = 3.5698291871156569833631110121253 y[1] (numeric) = 3.5698291871156569833631110121262 absolute error = 9e-31 relative error = 2.5211290311825258269939363421758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.392 y[1] (analytic) = 3.5698452177291422769048383336844 y[1] (numeric) = 3.5698452177291422769048383336853 absolute error = 9e-31 relative error = 2.5211177098947442943608819432824e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.393 y[1] (analytic) = 3.5698610704974246617386054977767 y[1] (numeric) = 3.5698610704974246617386054977776 absolute error = 9e-31 relative error = 2.5211065143064347445078939486984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.394 y[1] (analytic) = 3.569876746404651287569761094576 y[1] (numeric) = 3.5698767464046512875697610945769 absolute error = 9e-31 relative error = 2.5210954437192312752785316746238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.395 y[1] (analytic) = 3.5698922464351461651446742960458 y[1] (numeric) = 3.5698922464351461651446742960467 absolute error = 9e-31 relative error = 2.5210844974347048538158033019848e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.396 y[1] (analytic) = 3.5699075715734091819268061365681 y[1] (numeric) = 3.569907571573409181926806136569 absolute error = 9e-31 relative error = 2.5210736747543633270671851789373e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.397 y[1] (analytic) = 3.569922722804115117596904091137 y[1] (numeric) = 3.5699227228041151175969040911379 absolute error = 9e-31 relative error = 2.5210629749796514361088841264432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.398 y[1] (analytic) = 3.5699377011121126593783044508402 y[1] (numeric) = 3.5699377011121126593783044508411 absolute error = 9e-31 relative error = 2.5210523974119508342910704846634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.399 y[1] (analytic) = 3.5699525074824234171883271702437 y[1] (numeric) = 3.5699525074824234171883271702447 absolute error = 1.0e-30 relative error = 2.8011577126139778991175600741745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 3.5699671429002409386167480352036 y[1] (numeric) = 3.5699671429002409386167480352047 absolute error = 1.1e-30 relative error = 3.0812608519034158770303405299793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.401 y[1] (analytic) = 3.5699816083509297237323331725497 y[1] (numeric) = 3.5699816083509297237323331725508 absolute error = 1.1e-30 relative error = 3.0812483667335180181442278498298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.402 y[1] (analytic) = 3.5699959048200242397184210950248 y[1] (numeric) = 3.5699959048200242397184210950259 absolute error = 1.1e-30 relative error = 3.0812360275115071306106653562601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.403 y[1] (analytic) = 3.5700100332932279353385376458159 y[1] (numeric) = 3.570010033293227935338537645817 absolute error = 1.1e-30 relative error = 3.0812238333831313064607205490135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.404 y[1] (analytic) = 3.5700239947564122552330293769798 y[1] (numeric) = 3.5700239947564122552330293769809 absolute error = 1.1e-30 relative error = 3.0812117834940617617587564318842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.405 y[1] (analytic) = 3.5700377901956156540477010650472 y[1] (numeric) = 3.5700377901956156540477010650484 absolute error = 1.2e-30 relative error = 3.3613089567162467907589167772961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.406 y[1] (analytic) = 3.5700514205970426103954432350868 y[1] (numeric) = 3.570051420597042610395443235088 absolute error = 1.2e-30 relative error = 3.3612961232903370865842188751912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.407 y[1] (analytic) = 3.5700648869470626406518357315184 y[1] (numeric) = 3.5700648869470626406518357315195 absolute error = 1.1e-30 relative error = 3.0811764907182510117509435006005e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.408 y[1] (analytic) = 3.5700781902322093125857135399897 y[1] (numeric) = 3.5700781902322093125857135399908 absolute error = 1.1e-30 relative error = 3.0811650092415832470159031019890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.409 y[1] (analytic) = 3.5700913314391792588256812296698 y[1] (numeric) = 3.5700913314391792588256812296709 absolute error = 1.1e-30 relative error = 3.0811536677314267890581544033687e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = 3.5701043115548311901635625493609 y[1] (numeric) = 3.570104311554831190163562549362 absolute error = 1.1e-30 relative error = 3.0811424653329929157063787197962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.411 y[1] (analytic) = 3.5701171315661849086957718738978 y[1] (numeric) = 3.5701171315661849086957718738989 absolute error = 1.1e-30 relative error = 3.0811314011914165118009295317835e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.412 y[1] (analytic) = 3.570129792460420320803594359381 y[1] (numeric) = 3.5701297924604203208035943593821 absolute error = 1.1e-30 relative error = 3.0811204744517561569701047921462e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.413 y[1] (analytic) = 3.5701422952248764499733618268809 y[1] (numeric) = 3.570142295224876449973361826882 absolute error = 1.1e-30 relative error = 3.0811096842589942181072902117560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.414 y[1] (analytic) = 3.5701546408470504494575115543554 y[1] (numeric) = 3.5701546408470504494575115543564 absolute error = 1.0e-30 relative error = 2.8009991179618517695917844145510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.415 y[1] (analytic) = 3.5701668303145966147775153156389 y[1] (numeric) = 3.5701668303145966147775153156399 absolute error = 1.0e-30 relative error = 2.8009895546306496181541234396148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.416 y[1] (analytic) = 3.5701788646153253960696661634929 y[1] (numeric) = 3.5701788646153253960696661634939 absolute error = 1.0e-30 relative error = 2.8009801131007104081391052237575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=8.39 x[1] = 1.417 y[1] (analytic) = 3.5701907447372024102747106108474 y[1] (numeric) = 3.5701907447372024102747106108485 absolute error = 1.1e-30 relative error = 3.0810678718539160883134371418387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.418 y[1] (analytic) = 3.57020247166834745317231402052 y[1] (numeric) = 3.5702024716683474531723140205211 absolute error = 1.1e-30 relative error = 3.0810577515677213530960264768742e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.419 y[1] (analytic) = 3.5702140463970335112613471688637 y[1] (numeric) = 3.5702140463970335112613471688648 absolute error = 1.1e-30 relative error = 3.0810477626967245393030425375359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 3.5702254699116857734869821029759 y[1] (numeric) = 3.570225469911685773486982102977 absolute error = 1.1e-30 relative error = 3.0810379043853775093322283107273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.421 y[1] (analytic) = 3.5702367432008806428155855642893 y[1] (numeric) = 3.5702367432008806428155855642904 absolute error = 1.1e-30 relative error = 3.0810281757780568221318014127907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.422 y[1] (analytic) = 3.5702478672533447476583984035691 y[1] (numeric) = 3.5702478672533447476583984035703 absolute error = 1.2e-30 relative error = 3.3611111738389787651715277041647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.423 y[1] (analytic) = 3.5702588430579539531449895635557 y[1] (numeric) = 3.5702588430579539531449895635568 absolute error = 1.1e-30 relative error = 3.0810091042526250085483947934559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.424 y[1] (analytic) = 3.5702696716037323722474733557142 y[1] (numeric) = 3.5702696716037323722474733557153 absolute error = 1.1e-30 relative error = 3.0809997596228917202789571596897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.425 y[1] (analytic) = 3.5702803538798513767564789067943 y[1] (numeric) = 3.5702803538798513767564789067954 absolute error = 1.1e-30 relative error = 3.0809905412739407443632856040376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.426 y[1] (analytic) = 3.5702908908756286081098607991456 y[1] (numeric) = 3.5702908908756286081098607991467 absolute error = 1.1e-30 relative error = 3.0809814483497742400393555050109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.427 y[1] (analytic) = 3.570301283580526988075140075997 y[1] (numeric) = 3.5703012835805269880751400759981 absolute error = 1.1e-30 relative error = 3.0809724799943199431795691064054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.428 y[1] (analytic) = 3.5703115329841537292866649291767 y[1] (numeric) = 3.5703115329841537292866649291778 absolute error = 1.1e-30 relative error = 3.0809636353514313295146616380048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.429 y[1] (analytic) = 3.5703216400762593456384805320288 y[1] (numeric) = 3.5703216400762593456384805320299 absolute error = 1.1e-30 relative error = 3.0809549135648877825892124134596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = 3.5703316058467366625338976245749 y[1] (numeric) = 3.570331605846736662533897624576 absolute error = 1.1e-30 relative error = 3.0809463137783947664505990583943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.431 y[1] (analytic) = 3.5703414312856198269927496012693 y[1] (numeric) = 3.5703414312856198269927496012704 absolute error = 1.1e-30 relative error = 3.0809378351355840030732226077869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.432 y[1] (analytic) = 3.5703511173830833176173279940086 y[1] (numeric) = 3.5703511173830833176173279940097 absolute error = 1.1e-30 relative error = 3.0809294767800136545198206836022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.433 y[1] (analytic) = 3.5703606651294409544179863843771 y[1] (numeric) = 3.5703606651294409544179863843782 absolute error = 1.1e-30 relative error = 3.0809212378551685098416753214745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.434 y[1] (analytic) = 3.5703700755151449084994029194425 y[1] (numeric) = 3.5703700755151449084994029194436 absolute error = 1.1e-30 relative error = 3.0809131175044601767195112588556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.435 y[1] (analytic) = 3.5703793495307847116084917447554 y[1] (numeric) = 3.5703793495307847116084917447565 absolute error = 1.1e-30 relative error = 3.0809051148712272778468696263846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.436 y[1] (analytic) = 3.5703884881670862655449538065606 y[1] (numeric) = 3.5703884881670862655449538065617 absolute error = 1.1e-30 relative error = 3.0808972290987356520577309992312e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.437 y[1] (analytic) = 3.5703974924149108514354576125847 y[1] (numeric) = 3.5703974924149108514354576125858 absolute error = 1.1e-30 relative error = 3.0808894593301785602001506657478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.438 y[1] (analytic) = 3.5704063632652541388724406771388 y[1] (numeric) = 3.5704063632652541388724406771399 absolute error = 1.1e-30 relative error = 3.0808818047086768957576577568436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.439 y[1] (analytic) = 3.5704151017092451949185225116501 y[1] (numeric) = 3.5704151017092451949185225116512 absolute error = 1.1e-30 relative error = 3.0808742643772794002201585510280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = 3.5704237087381454929775201561292 y[1] (numeric) = 3.5704237087381454929775201561303 absolute error = 1.1e-30 relative error = 3.0808668374789628832060728269566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.441 y[1] (analytic) = 3.5704321853433479215330573804725 y[1] (numeric) = 3.5704321853433479215330573804736 absolute error = 1.1e-30 relative error = 3.0808595231566324473374205775114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.442 y[1] (analytic) = 3.5704405325163757927557588169101 y[1] (numeric) = 3.5704405325163757927557588169112 absolute error = 1.1e-30 relative error = 3.0808523205531217178695647268679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.443 y[1] (analytic) = 3.570448751248881850980020416321 y[1] (numeric) = 3.5704487512488818509800204163221 absolute error = 1.1e-30 relative error = 3.0808452288111930770773037045924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.444 y[1] (analytic) = 3.570456842532647281051347751563 y[1] (numeric) = 3.5704568425326472810513477515641 absolute error = 1.1e-30 relative error = 3.0808382470735379033989958284973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.4MB, time=8.58 x[1] = 1.445 y[1] (analytic) = 3.5704648073595807165452538203967 y[1] (numeric) = 3.5704648073595807165452538203977 absolute error = 1.0e-30 relative error = 2.8007557949843425594003503915473e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.446 y[1] (analytic) = 3.570472646721717247858708129022 y[1] (numeric) = 3.570472646721717247858708129023 absolute error = 1.0e-30 relative error = 2.8007496456195090183088986627586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.447 y[1] (analytic) = 3.5704803616112174301751289646973 y[1] (numeric) = 3.5704803616112174301751289646983 absolute error = 1.0e-30 relative error = 2.8007435939200609701784396349963e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.448 y[1] (analytic) = 3.5704879530203662913039108923645 y[1] (numeric) = 3.5704879530203662913039108923655 absolute error = 1.0e-30 relative error = 2.8007376391063710056932187590452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.449 y[1] (analytic) = 3.5704954219415723393954796356705 y[1] (numeric) = 3.5704954219415723393954796356715 absolute error = 1.0e-30 relative error = 2.8007317803987483185490083867296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = 3.570502769367366570532866627248 y[1] (numeric) = 3.570502769367366570532866627249 absolute error = 1.0e-30 relative error = 2.8007260170174389488412488601674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.451 y[1] (analytic) = 3.5705099962904014762007956365975 y[1] (numeric) = 3.5705099962904014762007956365985 absolute error = 1.0e-30 relative error = 2.8007203481826260307890646381089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.452 y[1] (analytic) = 3.5705171037034500506332740064018 y[1] (numeric) = 3.5705171037034500506332740064027 absolute error = 9e-31 relative error = 2.5206432958029870403169347590426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.453 y[1] (analytic) = 3.5705240925994047980406811495985 y[1] (numeric) = 3.5705240925994047980406811495994 absolute error = 9e-31 relative error = 2.5206383619296181664677544672414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.454 y[1] (analytic) = 3.5705309639712767397173470800403 y[1] (numeric) = 3.5705309639712767397173470800412 absolute error = 9e-31 relative error = 2.5206335110422531578456979124192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.455 y[1] (analytic) = 3.5705377188121944210306138690803 y[1] (numeric) = 3.5705377188121944210306138690812 absolute error = 9e-31 relative error = 2.5206287424388326817002323468662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.456 y[1] (analytic) = 3.5705443581154029182923730389394 y[1] (numeric) = 3.5705443581154029182923730389403 absolute error = 9e-31 relative error = 2.5206240554172419633294733751670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.457 y[1] (analytic) = 3.5705508828742628455140720212351 y[1] (numeric) = 3.570550882874262845514072021236 absolute error = 9e-31 relative error = 2.5206194492753110324723425838684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.458 y[1] (analytic) = 3.5705572940822493610461829255825 y[1] (numeric) = 3.5705572940822493610461829255834 absolute error = 9e-31 relative error = 2.5206149233108149736118509943187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.459 y[1] (analytic) = 3.5705635927329511741031269787158 y[1] (numeric) = 3.5705635927329511741031269787166 absolute error = 8e-31 relative error = 2.2405426460635326046139796367163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = 3.5705697798200695511746481091234 y[1] (numeric) = 3.5705697798200695511746481091242 absolute error = 8e-31 relative error = 2.2405387636488485446583083830627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.461 y[1] (analytic) = 3.5705758563374173223246292657403 y[1] (numeric) = 3.5705758563374173223246292657412 absolute error = 9e-31 relative error = 2.5206018194588680609259124872816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.462 y[1] (analytic) = 3.5705818232789178873783451717983 y[1] (numeric) = 3.5705818232789178873783451717991 absolute error = 8e-31 relative error = 2.2405312063829088084478337406345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.463 y[1] (analytic) = 3.570587681638604221999145326498 y[1] (numeric) = 3.5705876816386042219991453264988 absolute error = 8e-31 relative error = 2.2405275302828194739565264156800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.464 y[1] (analytic) = 3.5705934324106178836555611777382 y[1] (numeric) = 3.5705934324106178836555611777391 absolute error = 9e-31 relative error = 2.5205894119185174455094339720263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.465 y[1] (analytic) = 3.5705990765892080174798314987118 y[1] (numeric) = 3.5705990765892080174798314987127 absolute error = 9e-31 relative error = 2.5205854275292068264000644559937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.466 y[1] (analytic) = 3.5706046151687303620188401097589 y[1] (numeric) = 3.5706046151687303620188401097598 absolute error = 9e-31 relative error = 2.5205815176975850539589606828730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.467 y[1] (analytic) = 3.5706100491436462548784601944592 y[1] (numeric) = 3.57061004914364625487846019446 absolute error = 8e-31 relative error = 2.2405134948630618799499914244456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.468 y[1] (analytic) = 3.5706153795085216382622995655335 y[1] (numeric) = 3.5706153795085216382622995655344 absolute error = 9e-31 relative error = 2.5205739188965257692633475097916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.469 y[1] (analytic) = 3.5706206072580260644058413417291 y[1] (numeric) = 3.5706206072580260644058413417299 absolute error = 8e-31 relative error = 2.2405068697969038607836763944448e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = 3.5706257333869317009069746014624 y[1] (numeric) = 3.5706257333869317009069746014632 absolute error = 8e-31 relative error = 2.2405036532382706912408356601084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.471 y[1] (analytic) = 3.5706307588901123359539096826085 y[1] (numeric) = 3.5706307588901123359539096826093 absolute error = 8e-31 relative error = 2.2405004998295326022592987792684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.472 y[1] (analytic) = 3.5706356847625423834514729004364 y[1] (numeric) = 3.5706356847625423834514729004373 absolute error = 9e-31 relative error = 2.5205595850640601188742827907914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=8.76 x[1] = 1.473 y[1] (analytic) = 3.5706405119992958880467755573151 y[1] (numeric) = 3.570640511999295888046775557316 absolute error = 9e-31 relative error = 2.5205561774575459568788205043628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.474 y[1] (analytic) = 3.570645241595545530055252218436 y[1] (numeric) = 3.5706452415955455300552522184369 absolute error = 9e-31 relative error = 2.5205528387856148892594928862528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.475 y[1] (analytic) = 3.5706498745465616302880633274325 y[1] (numeric) = 3.5706498745465616302880633274334 absolute error = 9e-31 relative error = 2.5205495683451500231588935972868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.476 y[1] (analytic) = 3.5706544118477111547818573344103 y[1] (numeric) = 3.5706544118477111547818573344112 absolute error = 9e-31 relative error = 2.5205463654329846960587279223827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.477 y[1] (analytic) = 3.5706588544944567194318876065432 y[1] (numeric) = 3.5706588544944567194318876065441 absolute error = 9e-31 relative error = 2.5205432293459028006127658485644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.478 y[1] (analytic) = 3.5706632034823555945294794880351 y[1] (numeric) = 3.570663203482355594529479488036 absolute error = 9e-31 relative error = 2.5205401593806391134130504089409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.479 y[1] (analytic) = 3.5706674598070587092048429718975 y[1] (numeric) = 3.5706674598070587092048429718984 absolute error = 9e-31 relative error = 2.5205371548338796276903370061604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = 3.5706716244643096557762265406478 y[1] (numeric) = 3.5706716244643096557762265406487 absolute error = 9e-31 relative error = 2.5205342150022618899497262768631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.481 y[1] (analytic) = 3.5706756984499436940064078266906 y[1] (numeric) = 3.5706756984499436940064078266914 absolute error = 8e-31 relative error = 2.2404723014954447471488353877614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.482 y[1] (analytic) = 3.5706796827598867552675168358087 y[1] (numeric) = 3.5706796827598867552675168358096 absolute error = 9e-31 relative error = 2.5205285266707616581746746988577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.483 y[1] (analytic) = 3.5706835783901544466151875688586 y[1] (numeric) = 3.5706835783901544466151875688595 absolute error = 9e-31 relative error = 2.5205257767639151083544594337774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.484 y[1] (analytic) = 3.5706873863368510547730339674336 y[1] (numeric) = 3.5706873863368510547730339674345 absolute error = 9e-31 relative error = 2.5205230887582828957774201776667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.485 y[1] (analytic) = 3.5706911075961685500284461989382 y[1] (numeric) = 3.570691107596168550028446198939 absolute error = 8e-31 relative error = 2.2404626328446804628020913340546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.486 y[1] (analytic) = 3.5706947431643855900407033851922 y[1] (numeric) = 3.570694743164385590040703385193 absolute error = 8e-31 relative error = 2.2404603516766374568599839960433e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.487 y[1] (analytic) = 3.5706982940378665235623989663707 y[1] (numeric) = 3.5706982940378665235623989663715 absolute error = 8e-31 relative error = 2.2404581236555074903984678545897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.488 y[1] (analytic) = 3.5707017612130603940751749787701 y[1] (numeric) = 3.570701761213060394075174978771 absolute error = 9e-31 relative error = 2.5205129416752144479576714451911e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.489 y[1] (analytic) = 3.5707051456864999433407616105837 y[1] (numeric) = 3.5707051456864999433407616105846 absolute error = 9e-31 relative error = 2.5205105526207400270895429074643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = 3.5707084484548006148683184845637 y[1] (numeric) = 3.5707084484548006148683184845646 absolute error = 9e-31 relative error = 2.5205082212451951247062536800349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.491 y[1] (analytic) = 3.5707116705146595572990742001458 y[1] (numeric) = 3.5707116705146595572990742001467 absolute error = 9e-31 relative error = 2.5205059468447077176710879257898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.492 y[1] (analytic) = 3.5707148128628546277092607503139 y[1] (numeric) = 3.5707148128628546277092607503147 absolute error = 8e-31 relative error = 2.2404477588580992738012164570169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.493 y[1] (analytic) = 3.570717876496243394832339510186 y[1] (numeric) = 3.5707178764962433948323395101869 absolute error = 9e-31 relative error = 2.5205015661531971858680410811427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.494 y[1] (analytic) = 3.5707208624117621422015155750152 y[1] (numeric) = 3.5707208624117621422015155750161 absolute error = 9e-31 relative error = 2.5204994584542110711674930535973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.495 y[1] (analytic) = 3.5707237716064248712135373050044 y[1] (numeric) = 3.5707237716064248712135373050053 absolute error = 9e-31 relative error = 2.5204974049143572595413614563014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.496 y[1] (analytic) = 3.570726605077322304114778013056 y[1] (numeric) = 3.5707266050773223041147780130569 absolute error = 9e-31 relative error = 2.5204954048295471469700686403675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.497 y[1] (analytic) = 3.570729363821620886910596809289 y[1] (numeric) = 3.5707293638216208869105968092899 absolute error = 9e-31 relative error = 2.5204934574956500084658102940828e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.498 y[1] (analytic) = 3.570732048836561792198975692881 y[1] (numeric) = 3.5707320488365617921989756928819 absolute error = 9e-31 relative error = 2.5204915622084934056907052253628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.499 y[1] (analytic) = 3.5707346611194599219294300575146 y[1] (numeric) = 3.5707346611194599219294300575155 absolute error = 9e-31 relative error = 2.5204897182638635985258014369033e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = 3.5707372016677029100881898514343 y[1] (numeric) = 3.5707372016677029100881898514352 absolute error = 9e-31 relative error = 2.5204879249575059605916179514793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=8.94 x[1] = 1.501 y[1] (analytic) = 3.57073967147875012531064870685 y[1] (numeric) = 3.5707396714787501253106487068509 absolute error = 9e-31 relative error = 2.5204861815851253987208866855192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.502 y[1] (analytic) = 3.5707420715501316734220784261545 y[1] (numeric) = 3.5707420715501316734220784261554 absolute error = 9e-31 relative error = 2.5204844874423867763841434140898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.503 y[1] (analytic) = 3.5707444028794473999076062841581 y[1] (numeric) = 3.570744402879447399907606284159 absolute error = 9e-31 relative error = 2.5204828418249153410688015197647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.504 y[1] (analytic) = 3.5707466664643658923124526762785 y[1] (numeric) = 3.5707466664643658923124526762794 absolute error = 9e-31 relative error = 2.5204812440282971556123267715141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.505 y[1] (analytic) = 3.570748863302623482573426712367 y[1] (numeric) = 3.570748863302623482573426712368 absolute error = 1.0e-30 relative error = 2.8005329926089772594334620419550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.506 y[1] (analytic) = 3.570750994392023249282677424591 y[1] (numeric) = 3.5707509943920232492826774245919 absolute error = 9e-31 relative error = 2.5204781890797714780586656000710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.507 y[1] (analytic) = 3.5707530607304340198846983255382 y[1] (numeric) = 3.5707530607304340198846983255391 absolute error = 9e-31 relative error = 2.5204767305188441257546046006728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.508 y[1] (analytic) = 3.5707550633157893728075831194565 y[1] (numeric) = 3.5707550633157893728075831194574 absolute error = 9e-31 relative error = 2.5204753169607311932501421279476e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.509 y[1] (analytic) = 3.5707570031460866395295304352888 y[1] (numeric) = 3.5707570031460866395295304352898 absolute error = 1.0e-30 relative error = 2.8005266085564771428505272439156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = 3.5707588812193859065815955149162 y[1] (numeric) = 3.5707588812193859065815955149171 absolute error = 9e-31 relative error = 2.5204726220344990661386722422815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.511 y[1] (analytic) = 3.5707606985338090174876868537732 y[1] (numeric) = 3.5707606985338090174876868537741 absolute error = 9e-31 relative error = 2.5204713392570642858535551927358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.512 y[1] (analytic) = 3.5707624560875385746428058537574 y[1] (numeric) = 3.5707624560875385746428058537583 absolute error = 9e-31 relative error = 2.5204700986638136760260474497824e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.513 y[1] (analytic) = 3.5707641548788169411305276101085 y[1] (numeric) = 3.5707641548788169411305276101094 absolute error = 9e-31 relative error = 2.5204688995500007003494864046851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.514 y[1] (analytic) = 3.5707657959059452424807210146942 y[1] (numeric) = 3.5707657959059452424807210146951 absolute error = 9e-31 relative error = 2.5204677412108441687993447905238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.515 y[1] (analytic) = 3.5707673801672823683685064178989 y[1] (numeric) = 3.5707673801672823683685064178997 absolute error = 8e-31 relative error = 2.2404147759480255222202734533847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.516 y[1] (analytic) = 3.5707689086612439742554491500745 y[1] (numeric) = 3.5707689086612439742554491500754 absolute error = 9e-31 relative error = 2.5204655440372052625386295671556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.517 y[1] (analytic) = 3.5707703823863014829739872612776 y[1] (numeric) = 3.5707703823863014829739872612784 absolute error = 8e-31 relative error = 2.2404128922604369180201610822977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.518 y[1] (analytic) = 3.5707718023409810862560918947796 y[1] (numeric) = 3.5707718023409810862560918947805 absolute error = 9e-31 relative error = 2.5204635015039725065545766700826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.519 y[1] (analytic) = 3.5707731695238627462071587656097 y[1] (numeric) = 3.5707731695238627462071587656106 absolute error = 9e-31 relative error = 2.5204625364652009274507570382397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = 3.5707744849335791967261292701527 y[1] (numeric) = 3.5707744849335791967261292701536 absolute error = 9e-31 relative error = 2.5204616079716977939093882678710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.521 y[1] (analytic) = 3.5707757495688149448728398065994 y[1] (numeric) = 3.5707757495688149448728398066003 absolute error = 9e-31 relative error = 2.5204607153184528578924141932082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.522 y[1] (analytic) = 3.5707769644283052721835979388165 y[1] (numeric) = 3.5707769644283052721835979388174 absolute error = 9e-31 relative error = 2.5204598578004251274700887084869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.523 y[1] (analytic) = 3.5707781305108352359359840879762 y[1] (numeric) = 3.5707781305108352359359840879771 absolute error = 9e-31 relative error = 2.5204590347125433733782936543094e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.524 y[1] (analytic) = 3.5707792488152386703638774870614 y[1] (numeric) = 3.5707792488152386703638774870622 absolute error = 8e-31 relative error = 2.2404073291997392351457170316371e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.525 y[1] (analytic) = 3.5707803203403971878237051831361 y[1] (numeric) = 3.5707803203403971878237051831369 absolute error = 8e-31 relative error = 2.2404066568949197844832584310743e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.526 y[1] (analytic) = 3.5707813460852391799129129210503 y[1] (numeric) = 3.5707813460852391799129129210512 absolute error = 9e-31 relative error = 2.5204567649786188651012598371760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.527 y[1] (analytic) = 3.5707823270487388185416567900242 y[1] (numeric) = 3.5707823270487388185416567900251 absolute error = 9e-31 relative error = 2.5204560725600219284487570366239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.528 y[1] (analytic) = 3.5707832642299150569587145613365 y[1] (numeric) = 3.5707832642299150569587145613374 absolute error = 9e-31 relative error = 2.5204554110457792687267141109515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.4MB, time=9.12 x[1] = 1.529 y[1] (analytic) = 3.5707841586278306307326156911238 y[1] (numeric) = 3.5707841586278306307326156911247 absolute error = 9e-31 relative error = 2.5204547797306490923186936099491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = 3.5707850112415910586889890070761 y[1] (numeric) = 3.570785011241591058688989007077 absolute error = 9e-31 relative error = 2.5204541779093630251551964793514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.531 y[1] (analytic) = 3.5707858230703436438051271415984 y[1] (numeric) = 3.5707858230703436438051271415993 absolute error = 9e-31 relative error = 2.5204536048766266509822003147886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.532 y[1] (analytic) = 3.5707865951132764740627668167907 y[1] (numeric) = 3.5707865951132764740627668167916 absolute error = 9e-31 relative error = 2.5204530599271200535944501964593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.533 y[1] (analytic) = 3.5707873283696174232600841283823 y[1] (numeric) = 3.5707873283696174232600841283832 absolute error = 9e-31 relative error = 2.5204525423554983630336308403544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.534 y[1] (analytic) = 3.5707880238386331517839040165425 y[1] (numeric) = 3.5707880238386331517839040165434 absolute error = 9e-31 relative error = 2.5204520514563923057515304920401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.535 y[1] (analytic) = 3.5707886825196281073431231512747 y[1] (numeric) = 3.5707886825196281073431231512756 absolute error = 9e-31 relative error = 2.5204515865244087587382885841686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.536 y[1] (analytic) = 3.5707893054119435256643454988875 y[1] (numeric) = 3.5707893054119435256643454988884 absolute error = 9e-31 relative error = 2.5204511468541313076158006790461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.537 y[1] (analytic) = 3.5707898935149564311507298738242 y[1] (numeric) = 3.5707898935149564311507298738251 absolute error = 9e-31 relative error = 2.5204507317401208086963356228111e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.538 y[1] (analytic) = 3.57079044782807863750504881692 y[1] (numeric) = 3.5707904478280786375050488169209 absolute error = 9e-31 relative error = 2.5204503404769159550064011480905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.539 y[1] (analytic) = 3.5707909693507557483179581769444 y[1] (numeric) = 3.5707909693507557483179581769453 absolute error = 9e-31 relative error = 2.5204499723590338462758753774594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = 3.5707914590824661576224768070764 y[1] (numeric) = 3.5707914590824661576224768070773 absolute error = 9e-31 relative error = 2.5204496266809705628924028006741e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.541 y[1] (analytic) = 3.5707919180227200504156758217488 y[1] (numeric) = 3.5707919180227200504156758217497 absolute error = 9e-31 relative error = 2.5204493027372017438210343245290e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.542 y[1] (analytic) = 3.5707923471710584031485768920898 y[1] (numeric) = 3.5707923471710584031485768920908 absolute error = 1.0e-30 relative error = 2.8004988886913146316545243614963e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.543 y[1] (analytic) = 3.5707927475270519841852590899802 y[1] (numeric) = 3.5707927475270519841852590899812 absolute error = 1.0e-30 relative error = 2.8004985747003903807067325228983e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.544 y[1] (analytic) = 3.5707931200903003542321738215351 y[1] (numeric) = 3.5707931200903003542321738215361 absolute error = 1.0e-30 relative error = 2.8004982825068045423653782423451e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.545 y[1] (analytic) = 3.5707934658604308667386674206134 y[1] (numeric) = 3.5707934658604308667386674206144 absolute error = 1.0e-30 relative error = 2.8004980113265568186017659426048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.546 y[1] (analytic) = 3.5707937858370976682697110017483 y[1] (numeric) = 3.5707937858370976682697110017492 absolute error = 9e-31 relative error = 2.5204479843380647279006936386081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.547 y[1] (analytic) = 3.570794081019980698851837199685 y[1] (numeric) = 3.5707940810199806988518371996859 absolute error = 9e-31 relative error = 2.5204477759829802103943560457107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.548 y[1] (analytic) = 3.5707943524087846922932834495078 y[1] (numeric) = 3.5707943524087846922932834495087 absolute error = 9e-31 relative error = 2.5204475844229966480467581280772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.549 y[1] (analytic) = 3.570794601003238176479341487127 y[1] (numeric) = 3.5707946010032381764793414871279 absolute error = 9e-31 relative error = 2.5204474089524474293566103076900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = 3.5707948278030924736439127746956 y[1] (numeric) = 3.5707948278030924736439127746964 absolute error = 8e-31 relative error = 2.2403975545472452276443492867824e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.551 y[1] (analytic) = 3.5707950338081207006182695793146 y[1] (numeric) = 3.5707950338081207006182695793154 absolute error = 8e-31 relative error = 2.2403974252950318985747316463142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.552 y[1] (analytic) = 3.5707952200181167690580214561851 y[1] (numeric) = 3.5707952200181167690580214561859 absolute error = 8e-31 relative error = 2.2403973084626822255476102958178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.553 y[1] (analytic) = 3.5707953874328943856492869091546 y[1] (numeric) = 3.5707953874328943856492869091554 absolute error = 8e-31 relative error = 2.2403972034228867533299154473517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.554 y[1] (analytic) = 3.5707955370522860522950700224051 y[1] (numeric) = 3.570795537052286052295070022406 absolute error = 9e-31 relative error = 2.5204467482418654623501862619764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.555 y[1] (analytic) = 3.5707956698761420662828418768213 y[1] (numeric) = 3.5707956698761420662828418768221 absolute error = 8e-31 relative error = 2.2403970262116652970996356704666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.556 y[1] (analytic) = 3.5707957869043295204343265833744 y[1] (numeric) = 3.5707957869043295204343265833752 absolute error = 8e-31 relative error = 2.2403969527855668019725006355036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.4MB, time=9.30 x[1] = 1.557 y[1] (analytic) = 3.5707958891367313032384917836536 y[1] (numeric) = 3.5707958891367313032384917836544 absolute error = 8e-31 relative error = 2.2403968886426786220724318752932e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.558 y[1] (analytic) = 3.5707959775732450989687434844695 y[1] (numeric) = 3.5707959775732450989687434844702 absolute error = 7e-31 relative error = 1.9603472290111859725253579360916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.559 y[1] (analytic) = 3.5707960532137823877853251092519 y[1] (numeric) = 3.5707960532137823877853251092526 absolute error = 7e-31 relative error = 1.9603471874849505154225678436003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = 3.5707961170582674458239206637609 y[1] (numeric) = 3.5707961170582674458239206637616 absolute error = 7e-31 relative error = 1.9603471524346836793928985124364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.561 y[1] (analytic) = 3.5707961701066363452714619274229 y[1] (numeric) = 3.5707961701066363452714619274236 absolute error = 7e-31 relative error = 1.9603471233114254592993600314544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.562 y[1] (analytic) = 3.570796213358835954430139594402 y[1] (numeric) = 3.5707962133588359544301395944026 absolute error = 6e-31 relative error = 1.6802975139138943737498908755090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.563 y[1] (analytic) = 3.5707962478148229377706183003121 y[1] (numeric) = 3.5707962478148229377706183003127 absolute error = 6e-31 relative error = 1.6802974977000571090259188120121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.564 y[1] (analytic) = 3.5707962744745627559754554812718 y[1] (numeric) = 3.5707962744745627559754554812724 absolute error = 6e-31 relative error = 1.6802974851548737206356444555303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.565 y[1] (analytic) = 3.5707962943380286659737240217992 y[1] (numeric) = 3.5707962943380286659737240217998 absolute error = 6e-31 relative error = 1.6802974758077900273001899011461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.566 y[1] (analytic) = 3.5707963084052007209678386568407 y[1] (numeric) = 3.5707963084052007209678386568413 absolute error = 6e-31 relative error = 1.6802974691882487109495709048191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.567 y[1] (analytic) = 3.570796317676064770453586101025 y[1] (numeric) = 3.5707963176760647704535861010256 absolute error = 6e-31 relative error = 1.6802974648256897706856454617144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.568 y[1] (analytic) = 3.5707963231506114602343588850274 y[1] (numeric) = 3.570796323150611460234358885028 absolute error = 6e-31 relative error = 1.6802974622495509793831799022169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.569 y[1] (analytic) = 3.5707963258288352324305928847284 y[1] (numeric) = 3.570796325828835232430592884729 absolute error = 6e-31 relative error = 1.6802974609892683429286392279877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (analytic) = 3.5707963267107333254854085336454 y[1] (numeric) = 3.5707963267107333254854085336459 absolute error = 5e-31 relative error = 1.4002478838118971350802449555912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.571 y[1] (analytic) = 3.5707963267963047741674557129123 y[1] (numeric) = 3.5707963267963047741674557129128 absolute error = 5e-31 relative error = 1.4002478837783412475510176155429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.572 y[1] (analytic) = 3.5707963270855494095719623158803 y[1] (numeric) = 3.5707963270855494095719623158808 absolute error = 5e-31 relative error = 1.4002478836649171954573024174468e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.573 y[1] (analytic) = 3.5707963285784668591209864862058 y[1] (numeric) = 3.5707963285784668591209864862064 absolute error = 6e-31 relative error = 1.6802974596953835576199906664613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.574 y[1] (analytic) = 3.5707963322750555465638725290926 y[1] (numeric) = 3.5707963322750555465638725290932 absolute error = 6e-31 relative error = 1.6802974579558924180927091838905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.575 y[1] (analytic) = 3.5707963391753116919789104951459 y[1] (numeric) = 3.5707963391753116919789104951465 absolute error = 6e-31 relative error = 1.6802974547088624115975191730348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.576 y[1] (analytic) = 3.5707963502792283117771994350984 y[1] (numeric) = 3.570796350279228311777199435099 absolute error = 6e-31 relative error = 1.6802974494837302552684428363734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.577 y[1] (analytic) = 3.5707963665867942187097143214598 y[1] (numeric) = 3.5707963665867942187097143214604 absolute error = 6e-31 relative error = 1.6802974418099346680676015124676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.578 y[1] (analytic) = 3.5707963890979930218785766299399 y[1] (numeric) = 3.5707963890979930218785766299404 absolute error = 5e-31 relative error = 1.4002478593474307114528498339003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.579 y[1] (analytic) = 3.5707964188128021267535285692917 y[1] (numeric) = 3.5707964188128021267535285692922 absolute error = 5e-31 relative error = 1.4002478476951008220181795574860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (analytic) = 3.5707964567311917351946109430173 y[1] (numeric) = 3.5707964567311917351946109430178 absolute error = 5e-31 relative error = 1.4002478328258289156915161481605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.581 y[1] (analytic) = 3.570796503853123845482044620174 y[1] (numeric) = 3.5707965038531238454820446201746 absolute error = 6e-31 relative error = 1.6802973772169895731510545127944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.582 y[1] (analytic) = 3.5707965611785512523543155853176 y[1] (numeric) = 3.5707965611785512523543155853182 absolute error = 6e-31 relative error = 1.6802973502415616345124880186542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.583 y[1] (analytic) = 3.5707966297074165470554635294129 y[1] (numeric) = 3.5707966297074165470554635294134 absolute error = 5e-31 relative error = 1.4002477649951432059182123862142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.584 y[1] (analytic) = 3.5707967104396511173925739343403 y[1] (numeric) = 3.5707967104396511173925739343409 absolute error = 6e-31 relative error = 1.6802972800042866129151364407332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=9.48 x[1] = 1.585 y[1] (analytic) = 3.570796804375174147804473593424 y[1] (numeric) = 3.5707968043751741478044735934246 absolute error = 6e-31 relative error = 1.6802972358013782731334620320914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.586 y[1] (analytic) = 3.5707969125138916194426294992002 y[1] (numeric) = 3.5707969125138916194426294992008 absolute error = 6e-31 relative error = 1.6802971849149256121287856088670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.587 y[1] (analytic) = 3.5707970358556953102652510174464 y[1] (numeric) = 3.570797035855695310265251017447 absolute error = 6e-31 relative error = 1.6802971268744143640976749458764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.588 y[1] (analytic) = 3.5707971754004617951455952532836 y[1] (numeric) = 3.5707971754004617951455952532843 absolute error = 7e-31 relative error = 1.9603465714108940093762901968416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.589 y[1] (analytic) = 3.5707973321480514459954755009649 y[1] (numeric) = 3.5707973321480514459954755009656 absolute error = 7e-31 relative error = 1.9603464853573963262361621012007e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = 3.5707975070983074319049726537566 y[1] (numeric) = 3.5707975070983074319049726537572 absolute error = 6e-31 relative error = 1.6802969051235014000527684053598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.591 y[1] (analytic) = 3.5707977012510547192993494341187 y[1] (numeric) = 3.5707977012510547192993494341193 absolute error = 6e-31 relative error = 1.6802968137617700216732181641771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.592 y[1] (analytic) = 3.5707979156060990721141672871868 y[1] (numeric) = 3.5707979156060990721141672871874 absolute error = 6e-31 relative error = 1.6802967128935308906829429396521e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.593 y[1] (analytic) = 3.5707981511632260519896057623548 y[1] (numeric) = 3.5707981511632260519896057623554 absolute error = 6e-31 relative error = 1.6802966020483222266225774832156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.594 y[1] (analytic) = 3.5707984089222000184849841885559 y[1] (numeric) = 3.5707984089222000184849841885565 absolute error = 6e-31 relative error = 1.6802964807556928188220605377920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.595 y[1] (analytic) = 3.5707986898827631293144854286374 y[1] (numeric) = 3.5707986898827631293144854286379 absolute error = 5e-31 relative error = 1.4002469571210021283613107277703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.596 y[1] (analytic) = 3.5707989950446343406050814770211 y[1] (numeric) = 3.5707989950446343406050814770216 absolute error = 5e-31 relative error = 1.4002468374553524555715938973139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.597 y[1] (analytic) = 3.570799325407508407177660642642 y[1] (numeric) = 3.5707993254075084071776606426425 absolute error = 5e-31 relative error = 1.4002467079074480597995724130287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.598 y[1] (analytic) = 3.5707996819710548828523560359531 y[1] (numeric) = 3.5707996819710548828523560359537 absolute error = 6e-31 relative error = 1.6802958817023431002810809662658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.599 y[1] (analytic) = 3.5708000657349171207790750545861 y[1] (numeric) = 3.5708000657349171207790750545867 absolute error = 6e-31 relative error = 1.6802957011162488374375531311410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = 3.5708004776987112737942295370535 y[1] (numeric) = 3.5708004776987112737942295370541 absolute error = 6e-31 relative error = 1.6802955072602782633075832619437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.601 y[1] (analytic) = 3.5708009188620252948046662276802 y[1] (numeric) = 3.5708009188620252948046662276808 absolute error = 6e-31 relative error = 1.6802952996640690762105897591163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.602 y[1] (analytic) = 3.5708013902244179371997971687502 y[1] (numeric) = 3.5708013902244179371997971687508 absolute error = 6e-31 relative error = 1.6802950778572738386719116924788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.603 y[1] (analytic) = 3.5708018927854177552929296076546 y[1] (numeric) = 3.5708018927854177552929296076551 absolute error = 5e-31 relative error = 1.4002457011413004383361140686004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.604 y[1] (analytic) = 3.5708024275445221047927949776273 y[1] (numeric) = 3.5708024275445221047927949776279 absolute error = 6e-31 relative error = 1.6802945897306130774980400958930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.605 y[1] (analytic) = 3.5708029955011961433062764804579 y[1] (numeric) = 3.5708029955011961433062764804585 absolute error = 6e-31 relative error = 1.6802943224701319502389789506211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.606 y[1] (analytic) = 3.5708035976548718308733347683681 y[1] (numeric) = 3.5708035976548718308733347683687 absolute error = 6e-31 relative error = 1.6802940391178346755197784727004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.607 y[1] (analytic) = 3.5708042350049469305351311900454 y[1] (numeric) = 3.5708042350049469305351311900459 absolute error = 5e-31 relative error = 1.4002447826695470148975987984625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.608 y[1] (analytic) = 3.5708049085507840089363480326255 y[1] (numeric) = 3.570804908550784008936348032626 absolute error = 5e-31 relative error = 1.4002445185472921139446848524939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.609 y[1] (analytic) = 3.5708056192917094369627051572216 y[1] (numeric) = 3.5708056192917094369627051572221 absolute error = 5e-31 relative error = 1.4002442398395742922085187582641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = 3.570806368227012390414672390399 y[1] (numeric) = 3.5708063682270123904146723903995 absolute error = 5e-31 relative error = 1.4002439461545530868224835343648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.611 y[1] (analytic) = 3.5708071563559438507183769978006 y[1] (numeric) = 3.5708071563559438507183769978012 absolute error = 6e-31 relative error = 1.6802923645204855373712854712637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.612 y[1] (analytic) = 3.5708079846777156056747055289321 y[1] (numeric) = 3.5708079846777156056747055289327 absolute error = 6e-31 relative error = 1.6802919747423864577723864966714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=9.67 x[1] = 1.613 y[1] (analytic) = 3.5708088541914992502475992839213 y[1] (numeric) = 3.5708088541914992502475992839219 absolute error = 6e-31 relative error = 1.6802915655810193151811508302288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.614 y[1] (analytic) = 3.5708097658964251873925426138738 y[1] (numeric) = 3.5708097658964251873925426138744 absolute error = 6e-31 relative error = 1.6802911365662585788939566319092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.615 y[1] (analytic) = 3.570810720791581628926243226253 y[1] (numeric) = 3.5708107207915816289262432262536 absolute error = 6e-31 relative error = 1.6802906872280009175995927219800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.616 y[1] (analytic) = 3.5708117198760135964385036255204 y[1] (numeric) = 3.570811719876013596438503625521 absolute error = 6e-31 relative error = 1.6802902170961657818680284731894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.617 y[1] (analytic) = 3.570812764148721922247282777082 y[1] (numeric) = 3.5708127641487219222472827770826 absolute error = 6e-31 relative error = 1.6802897257006959892398975938210e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.618 y[1] (analytic) = 3.570813854608662250397947039396 y[1] (numeric) = 3.5708138546086622503979470393966 absolute error = 6e-31 relative error = 1.6802892125715583119155224702428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.619 y[1] (analytic) = 3.5708149922547440377077093649076 y[1] (numeric) = 3.5708149922547440377077093649082 absolute error = 6e-31 relative error = 1.6802886772387440670422883367691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (analytic) = 3.5708161780858295548562557252877 y[1] (numeric) = 3.5708161780858295548562557252883 absolute error = 6e-31 relative error = 1.6802881192322697095991590822774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.621 y[1] (analytic) = 3.5708174131007328875235576702667 y[1] (numeric) = 3.5708174131007328875235576702673 absolute error = 6e-31 relative error = 1.6802875380821774278771089872097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.622 y[1] (analytic) = 3.5708186982982189375758698821676 y[1] (numeric) = 3.5708186982982189375758698821682 absolute error = 6e-31 relative error = 1.6802869333185357415542271114374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.623 y[1] (analytic) = 3.5708200346770024243009115400566 y[1] (numeric) = 3.5708200346770024243009115400573 absolute error = 7e-31 relative error = 1.9603340218833467860916056603017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.624 y[1] (analytic) = 3.5708214232357468856932302582484 y[1] (numeric) = 3.5708214232357468856932302582491 absolute error = 7e-31 relative error = 1.9603332595828490802499827497289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.625 y[1] (analytic) = 3.5708228649730636797907473137165 y[1] (numeric) = 3.5708228649730636797907473137172 absolute error = 7e-31 relative error = 1.9603324680886415638757903698161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.626 y[1] (analytic) = 3.570824360887510986063482825783 y[1] (numeric) = 3.5708243608875109860634828257837 absolute error = 7e-31 relative error = 1.9603316468526007610999934786593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.627 y[1] (analytic) = 3.570825911977592806855459499277 y[1] (numeric) = 3.5708259119775928068554594992777 absolute error = 7e-31 relative error = 1.9603307953266374501311938105274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.628 y[1] (analytic) = 3.5708275192417579688807834891761 y[1] (numeric) = 3.5708275192417579688807834891767 absolute error = 6e-31 relative error = 1.6802827825394548964065800268102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.629 y[1] (analytic) = 3.570829183678399124774900890566 y[1] (numeric) = 3.5708291836783991247749008905667 absolute error = 7e-31 relative error = 1.9603289992127619851658428916650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = 3.5708309062858517547020283025802 y[1] (numeric) = 3.5708309062858517547020283025809 absolute error = 7e-31 relative error = 1.9603280535288491160234084785487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.631 y[1] (analytic) = 3.570832688062393168019755858803 y[1] (numeric) = 3.5708326880623931680197558588037 absolute error = 7e-31 relative error = 1.9603270753630137552424015663862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.632 y[1] (analytic) = 3.570834530006241505001821059453 y[1] (numeric) = 3.5708345300062415050018210594537 absolute error = 7e-31 relative error = 1.9603260641673487500036299082248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.633 y[1] (analytic) = 3.5708364331155547386200516824876 y[1] (numeric) = 3.5708364331155547386200516824883 absolute error = 7e-31 relative error = 1.9603250193939855420909390770210e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.634 y[1] (analytic) = 3.5708383983884296763864759916038 y[1] (numeric) = 3.5708383983884296763864759916044 absolute error = 6e-31 relative error = 1.6802776632815099158716224352925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.635 y[1] (analytic) = 3.5708404268229009622565983989405 y[1] (numeric) = 3.5708404268229009622565983989411 absolute error = 6e-31 relative error = 1.6802767087910465701327023139281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.636 y[1] (analytic) = 3.5708425194169400785948386791257 y[1] (numeric) = 3.5708425194169400785948386791264 absolute error = 7e-31 relative error = 1.9603216781296154733754787780773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.637 y[1] (analytic) = 3.5708446771684543482031327691439 y[1] (numeric) = 3.5708446771684543482031327691446 absolute error = 7e-31 relative error = 1.9603204935675715163532528009763e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.638 y[1] (analytic) = 3.5708469010752859364136931253407 y[1] (numeric) = 3.5708469010752859364136931253414 absolute error = 7e-31 relative error = 1.9603192726890912783734022988105e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.639 y[1] (analytic) = 3.5708491921352108532469265447217 y[1] (numeric) = 3.5708491921352108532469265447223 absolute error = 6e-31 relative error = 1.6802725842399028175473573682037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = 3.5708515513459379556355072925434 y[1] (numeric) = 3.570851551345937955635507292544 absolute error = 6e-31 relative error = 1.6802714741077541706338223796187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.4MB, time=9.85 x[1] = 1.641 y[1] (analytic) = 3.5708539797051079497156033120414 y[1] (numeric) = 3.570853979705107949715603312042 absolute error = 6e-31 relative error = 1.6802703314391753322464732039175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.642 y[1] (analytic) = 3.5708564782102923931862532249848 y[1] (numeric) = 3.5708564782102923931862532249854 absolute error = 6e-31 relative error = 1.6802691557648910296072548483132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.643 y[1] (analytic) = 3.5708590478589926977378917635981 y[1] (numeric) = 3.5708590478589926977378917635987 absolute error = 6e-31 relative error = 1.6802679466156654778802030967593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.644 y[1] (analytic) = 3.5708616896486391315510212052413 y[1] (numeric) = 3.5708616896486391315510212052419 absolute error = 6e-31 relative error = 1.6802667035223030349785121952314e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.645 y[1] (analytic) = 3.5708644045765898218660263110938 y[1] (numeric) = 3.5708644045765898218660263110944 absolute error = 6e-31 relative error = 1.6802654260156488589326995382260e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.646 y[1] (analytic) = 3.5708671936401297576251301989443 y[1] (numeric) = 3.5708671936401297576251301989449 absolute error = 6e-31 relative error = 1.6802641136265895678181854442279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.647 y[1] (analytic) = 3.5708700578364697921874885080472 y[1] (numeric) = 3.5708700578364697921874885080478 absolute error = 6e-31 relative error = 1.6802627658860539022405871425942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.648 y[1] (analytic) = 3.5708729981627456461184191408688 y[1] (numeric) = 3.5708729981627456461184191408694 absolute error = 6e-31 relative error = 1.6802613823250133903770070750902e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.649 y[1] (analytic) = 3.5708760156160169100537647924096 y[1] (numeric) = 3.5708760156160169100537647924103 absolute error = 7e-31 relative error = 1.9603032895535635181668392994114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = 3.5708791111932660476403854026587 y[1] (numeric) = 3.5708791111932660476403854026594 absolute error = 7e-31 relative error = 1.9603015901764422008974126988168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.651 y[1] (analytic) = 3.5708822858913973985537775916025 y[1] (numeric) = 3.5708822858913973985537775916032 absolute error = 7e-31 relative error = 1.9602998473674395614167654078065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.652 y[1] (analytic) = 3.5708855407072361815938180590871 y[1] (numeric) = 3.5708855407072361815938180590878 absolute error = 7e-31 relative error = 1.9602980605795632096485351584231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.653 y[1] (analytic) = 3.5708888766375274978596278537072 y[1] (numeric) = 3.5708888766375274978596278537079 absolute error = 7e-31 relative error = 1.9602962292658745984153844555431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.654 y[1] (analytic) = 3.570892294678935334004554335774 y[1] (numeric) = 3.5708922946789353340045543357747 absolute error = 7e-31 relative error = 1.9602943528794898171690758591477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.655 y[1] (analytic) = 3.5708957958280415655722675792972 y[1] (numeric) = 3.5708957958280415655722675792979 absolute error = 7e-31 relative error = 1.9602924308735803886878682702268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.656 y[1] (analytic) = 3.5708993810813449604149678768018 y[1] (numeric) = 3.5708993810813449604149678768025 absolute error = 7e-31 relative error = 1.9602904627013740687390479186429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.657 y[1] (analytic) = 3.5709030514352601821947009286892 y[1] (numeric) = 3.5709030514352601821947009286898 absolute error = 6e-31 relative error = 1.6802472409852762703180442892998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.658 y[1] (analytic) = 3.5709068078861167939687772157436 y[1] (numeric) = 3.5709068078861167939687772157442 absolute error = 6e-31 relative error = 1.6802454734325152238568149718713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.659 y[1] (analytic) = 3.5709106514301582618602919692829 y[1] (numeric) = 3.5709106514301582618602919692836 absolute error = 7e-31 relative error = 1.9602842757201116884523738293490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.66 y[1] (analytic) = 3.5709145830635409588147420683494 y[1] (numeric) = 3.57091458306354095881474206835 absolute error = 6e-31 relative error = 1.6802418149281270064025063848036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.661 y[1] (analytic) = 3.5709186037823331684437361072407 y[1] (numeric) = 3.5709186037823331684437361072413 absolute error = 6e-31 relative error = 1.6802399230396270607075356092563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.662 y[1] (analytic) = 3.5709227145825140889567937895895 y[1] (numeric) = 3.57092271458251408895679378959 absolute error = 5e-31 relative error = 1.4001983239742457077863580627102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.663 y[1] (analytic) = 3.5709269164599728371822307171068 y[1] (numeric) = 3.5709269164599728371822307171073 absolute error = 5e-31 relative error = 1.4001966763735210430039901185545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.664 y[1] (analytic) = 3.570931210410507452678124552024 y[1] (numeric) = 3.5709312104105074526781245520245 absolute error = 5e-31 relative error = 1.4001949926739724342952947298937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.665 y[1] (analytic) = 3.570935597429823901934358442182 y[1] (numeric) = 3.5709355974298239019343584421825 absolute error = 5e-31 relative error = 1.4001932724854358285303098401589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.666 y[1] (analytic) = 3.5709400785135350826667375066424 y[1] (numeric) = 3.570940078513535082666737506643 absolute error = 6e-31 relative error = 1.6802298185013518004086740506466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.667 y[1] (analytic) = 3.5709446546571598282041740876217 y[1] (numeric) = 3.5709446546571598282041740876223 absolute error = 6e-31 relative error = 1.6802276652971675757955930605818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.668 y[1] (analytic) = 3.5709493268561219119699373814782 y[1] (numeric) = 3.5709493268561219119699373814788 absolute error = 6e-31 relative error = 1.6802254669019411788581984987503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=10.03 x[1] = 1.669 y[1] (analytic) = 3.5709540961057490520579629674217 y[1] (numeric) = 3.5709540961057490520579629674223 absolute error = 6e-31 relative error = 1.6802232228477008086799220997814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = 3.5709589634012719159052176575514 y[1] (numeric) = 3.570958963401271915905217657552 absolute error = 6e-31 relative error = 1.6802209326665327257654203123601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.671 y[1] (analytic) = 3.5709639297378231250611149957754 y[1] (numeric) = 3.570963929737823125061114995776 absolute error = 6e-31 relative error = 1.6802185958905819753505026503696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.672 y[1] (analytic) = 3.5709689961104362600549766361128 y[1] (numeric) = 3.5709689961104362600549766361134 absolute error = 6e-31 relative error = 1.6802162120520531132209336307477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.673 y[1] (analytic) = 3.5709741635140448653625347328344 y[1] (numeric) = 3.570974163514044865362534732835 absolute error = 6e-31 relative error = 1.6802137806832109340378958584925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.674 y[1] (analytic) = 3.5709794329434814544724703758563 y[1] (numeric) = 3.5709794329434814544724703758569 absolute error = 6e-31 relative error = 1.6802113013163812021678814542972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.675 y[1] (analytic) = 3.5709848053934765150539830047658 y[1] (numeric) = 3.5709848053934765150539830047664 absolute error = 6e-31 relative error = 1.6802087734839513850147586058878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.676 y[1] (analytic) = 3.5709902818586575142263856338261 y[1] (numeric) = 3.5709902818586575142263856338267 absolute error = 6e-31 relative error = 1.6802061967183713888517395604520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.677 y[1] (analytic) = 3.5709958633335479039317206182833 y[1] (numeric) = 3.5709958633335479039317206182839 absolute error = 6e-31 relative error = 1.6802035705521542971509558627725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.678 y[1] (analytic) = 3.5710015508125661264113905892751 y[1] (numeric) = 3.5710015508125661264113905892757 absolute error = 6e-31 relative error = 1.6802008945178771114083260820043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.679 y[1] (analytic) = 3.5710073452900246197877990806293 y[1] (numeric) = 3.5710073452900246197877990806299 absolute error = 6e-31 relative error = 1.6801981681481814944613806596312e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (analytic) = 3.5710132477601288237519952658272 y[1] (numeric) = 3.5710132477601288237519952658277 absolute error = 5e-31 relative error = 1.4001628258131454302480732101801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.681 y[1] (analytic) = 3.5710192592169761853583171174048 y[1] (numeric) = 3.5710192592169761853583171174053 absolute error = 5e-31 relative error = 1.4001604687778578352929200294042e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.682 y[1] (analytic) = 3.5710253806545551649270271940663 y[1] (numeric) = 3.5710253806545551649270271940668 absolute error = 5e-31 relative error = 1.4001580686283219035718757327210e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.683 y[1] (analytic) = 3.5710316130667442420559351527904 y[1] (numeric) = 3.5710316130667442420559351527909 absolute error = 5e-31 relative error = 1.4001556249752941277170009208499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.684 y[1] (analytic) = 3.5710379574473109217420009742243 y[1] (numeric) = 3.5710379574473109217420009742248 absolute error = 5e-31 relative error = 1.4001531374295880130619447294748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.685 y[1] (analytic) = 3.57104441478991074061391277968 y[1] (numeric) = 3.5710444147899107406139127796805 absolute error = 5e-31 relative error = 1.4001506056020747094964153168974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.686 y[1] (analytic) = 3.5710509860880862732766330070712 y[1] (numeric) = 3.5710509860880862732766330070717 absolute error = 5e-31 relative error = 1.4001480291036836453840073560550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.687 y[1] (analytic) = 3.5710576723352661387689066011629 y[1] (numeric) = 3.5710576723352661387689066011634 absolute error = 5e-31 relative error = 1.4001454075454031635413015461535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.688 y[1] (analytic) = 3.5710644745247640071347247605418 y[1] (numeric) = 3.5710644745247640071347247605423 absolute error = 5e-31 relative error = 1.4001427405382811592761336256183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.689 y[1] (analytic) = 3.5710713936497776061097376697615 y[1] (numeric) = 3.571071393649777606109737669762 absolute error = 5e-31 relative error = 1.4001400276934257204829127955289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = 3.5710784307033877279236095301669 y[1] (numeric) = 3.5710784307033877279236095301674 absolute error = 5e-31 relative error = 1.4001372686220057697928518513561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.691 y[1] (analytic) = 3.5710855866785572362193090869601 y[1] (numeric) = 3.5710855866785572362193090869605 absolute error = 4e-31 relative error = 1.1201075703482013670215629366527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.692 y[1] (analytic) = 3.5710928625681300730903287331337 y[1] (numeric) = 3.5710928625681300730903287331342 absolute error = 5e-31 relative error = 1.4001316102444560641995810171758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.693 y[1] (analytic) = 3.5711002593648302662368251529716 y[1] (numeric) = 3.5711002593648302662368251529721 absolute error = 5e-31 relative error = 1.4001287101609741363204188905589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.694 y[1] (analytic) = 3.5711077780612609362416743488912 y[1] (numeric) = 3.5711077780612609362416743488917 absolute error = 5e-31 relative error = 1.4001257622962246492426208948635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.695 y[1] (analytic) = 3.5711154196499033039674337754915 y[1] (numeric) = 3.571115419649903303967433775492 absolute error = 5e-31 relative error = 1.4001227662616904033049132850255e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.696 y[1] (analytic) = 3.5711231851231156980752041837615 y[1] (numeric) = 3.571123185123115698075204183762 absolute error = 5e-31 relative error = 1.4001197216689189295154125186670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=10.22 x[1] = 1.697 y[1] (analytic) = 3.571131075473132562666383656504 y[1] (numeric) = 3.5711310754731325626663836565045 absolute error = 5e-31 relative error = 1.4001166281295231460248942578782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.698 y[1] (analytic) = 3.5711390916920634650483061931382 y[1] (numeric) = 3.5711390916920634650483061931387 absolute error = 5e-31 relative error = 1.4001134852551820166372338511433e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.699 y[1] (analytic) = 3.5711472347718921036247570781607 y[1] (numeric) = 3.5711472347718921036247570781612 absolute error = 5e-31 relative error = 1.4001102926576412113547203724181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = 3.5711555057044753159123571426651 y[1] (numeric) = 3.5711555057044753159123571426656 absolute error = 5e-31 relative error = 1.4001070499487137689559283042908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.701 y[1] (analytic) = 3.5711639054815420866838079024554 y[1] (numeric) = 3.5711639054815420866838079024559 absolute error = 5e-31 relative error = 1.4001037567402807616038129251632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.702 y[1] (analytic) = 3.5711724350946925562389894294233 y[1] (numeric) = 3.5711724350946925562389894294238 absolute error = 5e-31 relative error = 1.4001004126442919614816773966850e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.703 y[1] (analytic) = 3.5711810955353970288049026850109 y[1] (numeric) = 3.5711810955353970288049026850113 absolute error = 4e-31 relative error = 1.1200776138182132075637131579341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.704 y[1] (analytic) = 3.5711898877949949810654479157318 y[1] (numeric) = 3.5711898877949949810654479157322 absolute error = 4e-31 relative error = 1.1200748561902348686033787296754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.705 y[1] (analytic) = 3.5711988128646940708220305808916 y[1] (numeric) = 3.571198812864694070822030580892 absolute error = 4e-31 relative error = 1.1200720569212264661469033704429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.706 y[1] (analytic) = 3.5712078717355691457859861518177 y[1] (numeric) = 3.5712078717355691457859861518181 absolute error = 4e-31 relative error = 1.1200692157009730234730589293209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.707 y[1] (analytic) = 3.5712170653985612525038149900917 y[1] (numeric) = 3.571217065398561252503814990092 absolute error = 3e-31 relative error = 8.4004974916448791101626472772095e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.708 y[1] (analytic) = 3.5712263948444766454162183794666 y[1] (numeric) = 3.5712263948444766454162183794669 absolute error = 3e-31 relative error = 8.4004755462461993079694501568464e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.709 y[1] (analytic) = 3.5712358610639857960519266523511 y[1] (numeric) = 3.5712358610639857960519266523514 absolute error = 3e-31 relative error = 8.4004532792359553172987892188339e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = 3.5712454650476224023573102169489 y[1] (numeric) = 3.5712454650476224023573102169492 absolute error = 3e-31 relative error = 8.4004306882892888209205163341465e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.711 y[1] (analytic) = 3.5712552077857823981627641553602 y[1] (numeric) = 3.5712552077857823981627641553605 absolute error = 3e-31 relative error = 8.4004077710817902452117392268581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.712 y[1] (analytic) = 3.5712650902687229627868569261786 y[1] (numeric) = 3.5712650902687229627868569261789 absolute error = 3e-31 relative error = 8.4003845252895028808447653299420e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.713 y[1] (analytic) = 3.5712751134865615307792335673515 y[1] (numeric) = 3.5712751134865615307792335673518 absolute error = 3e-31 relative error = 8.4003609485889270154798284512002e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.714 y[1] (analytic) = 3.5712852784292748018032636563183 y[1] (numeric) = 3.5712852784292748018032636563186 absolute error = 3e-31 relative error = 8.4003370386570240784471688563589e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.715 y[1] (analytic) = 3.5712955860866977506594241446967 y[1] (numeric) = 3.571295586086697750659424144697 absolute error = 3e-31 relative error = 8.4003127931712207974029262312902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.716 y[1] (analytic) = 3.5713060374485226374504070440506 y[1] (numeric) = 3.5713060374485226374504070440509 absolute error = 3e-31 relative error = 8.4002882098094133669431936357691e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.717 y[1] (analytic) = 3.5713166335042980178889417975504 y[1] (numeric) = 3.5713166335042980178889417975508 absolute error = 4e-31 relative error = 1.1200351048333295505547292011108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.718 y[1] (analytic) = 3.5713273752434277537493220296208 y[1] (numeric) = 3.5713273752434277537493220296212 absolute error = 4e-31 relative error = 1.1200317360228991021502172035801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.719 y[1] (analytic) = 3.5713382636551700234636262219657 y[1] (numeric) = 3.5713382636551700234636262219661 absolute error = 4e-31 relative error = 1.1200283212338744005715250898176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = 3.5713492997286363328636217196688 y[1] (numeric) = 3.5713492997286363328636217196692 absolute error = 4e-31 relative error = 1.1200248601568975774327324930978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.721 y[1] (analytic) = 3.5713604844527905260693413253824 y[1] (numeric) = 3.5713604844527905260693413253828 absolute error = 4e-31 relative error = 1.1200213524826761628581859756317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.722 y[1] (analytic) = 3.5713718188164477965253215929455 y[1] (numeric) = 3.5713718188164477965253215929458 absolute error = 3e-31 relative error = 8.4001334842648773811468119388748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.723 y[1] (analytic) = 3.5713833038082736981854917841102 y[1] (numeric) = 3.5713833038082736981854917841105 absolute error = 3e-31 relative error = 8.4001064707924504953930189530328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.724 y[1] (analytic) = 3.5713949404167831568477023034066 y[1] (numeric) = 3.5713949404167831568477023034069 absolute error = 3e-31 relative error = 8.4000791008845939941223386850443e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.4MB, time=10.41 x[1] = 1.725 y[1] (analytic) = 3.5714067296303394816388812765328 y[1] (numeric) = 3.5714067296303394816388812765331 absolute error = 3e-31 relative error = 8.4000513722236188272278384758781e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.726 y[1] (analytic) = 3.5714186724371533766518077870334 y[1] (numeric) = 3.5714186724371533766518077870338 absolute error = 4e-31 relative error = 1.1200031043323130335811332697697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.727 y[1] (analytic) = 3.57143076982528195273449013441 y[1] (numeric) = 3.5714307698252819527344901344103 absolute error = 3e-31 relative error = 8.3999948293741196315079700991839e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.728 y[1] (analytic) = 3.5714430227826277394331373242018 y[1] (numeric) = 3.5714430227826277394331373242022 absolute error = 4e-31 relative error = 1.1199954680737058329153198733223e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.729 y[1] (analytic) = 3.5714554322969376970897118469858 y[1] (numeric) = 3.5714554322969376970897118469862 absolute error = 4e-31 relative error = 1.1199915764950338824543642783644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = 3.5714679993558022290950516486574 y[1] (numeric) = 3.5714679993558022290950516486578 absolute error = 4e-31 relative error = 1.1199876355385218454302319063833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.731 y[1] (analytic) = 3.5714807249466541942985490387904 y[1] (numeric) = 3.5714807249466541942985490387908 absolute error = 4e-31 relative error = 1.1199836448955625904741237352101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.732 y[1] (analytic) = 3.5714936100567679195753741273133 y[1] (numeric) = 3.5714936100567679195753741273137 absolute error = 4e-31 relative error = 1.1199796042576206899329841013303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.733 y[1] (analytic) = 3.5715066556732582125522302221973 y[1] (numeric) = 3.5715066556732582125522302221977 absolute error = 4e-31 relative error = 1.1199755133162330024560591086500e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.734 y[1] (analytic) = 3.5715198627830793744926284623172 y[1] (numeric) = 3.5715198627830793744926284623176 absolute error = 4e-31 relative error = 1.1199713717630092571357430854615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.735 y[1] (analytic) = 3.5715332323730242133426688001296 y[1] (numeric) = 3.57153323237302421334266880013 absolute error = 4e-31 relative error = 1.1199671792896326392003391209637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.736 y[1] (analytic) = 3.5715467654297230569383142883041 y[1] (numeric) = 3.5715467654297230569383142883045 absolute error = 4e-31 relative error = 1.1199629355878603772563443551469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.737 y[1] (analytic) = 3.5715604629396427663751454629514 y[1] (numeric) = 3.5715604629396427663751454629518 absolute error = 4e-31 relative error = 1.1199586403495243320778553145495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.738 y[1] (analytic) = 3.5715743258890857495415814536118 y[1] (numeric) = 3.5715743258890857495415814536122 absolute error = 4e-31 relative error = 1.1199542932665315869406731815014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.739 y[1] (analytic) = 3.5715883552641889748165542867008 y[1] (numeric) = 3.5715883552641889748165542867012 absolute error = 4e-31 relative error = 1.1199498940308650394986734561748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = 3.5716025520509229849326226846549 y[1] (numeric) = 3.5716025520509229849326226846553 absolute error = 4e-31 relative error = 1.1199454423345839951999890192342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.741 y[1] (analytic) = 3.5716169172350909110055114975822 y[1] (numeric) = 3.5716169172350909110055114975826 absolute error = 4e-31 relative error = 1.1199409378698247622405401283027e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.742 y[1] (analytic) = 3.5716314518023274867310627377954 y[1] (numeric) = 3.5716314518023274867310627377958 absolute error = 4e-31 relative error = 1.1199363803288012480524293840128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.743 y[1] (analytic) = 3.5716461567380980627505840201951 y[1] (numeric) = 3.5716461567380980627505840201956 absolute error = 5e-31 relative error = 1.3999147117547569466558802265946e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.744 y[1] (analytic) = 3.5716610330276976211855800430722 y[1] (numeric) = 3.5716610330276976211855800430727 absolute error = 5e-31 relative error = 1.3999088809840107394424670234514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.745 y[1] (analytic) = 3.5716760816562497903428525745152 y[1] (numeric) = 3.5716760816562497903428525745157 absolute error = 5e-31 relative error = 1.3999029827143258126529390932637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.746 y[1] (analytic) = 3.5716913036087058595909542392416 y[1] (numeric) = 3.5716913036087058595909542392421 absolute error = 5e-31 relative error = 1.3998970165613650411252245866307e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.747 y[1] (analytic) = 3.5717066998698437944089812293167 y[1] (numeric) = 3.5717066998698437944089812293172 absolute error = 5e-31 relative error = 1.3998909821408920554637207844108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.748 y[1] (analytic) = 3.5717222714242672516086898898851 y[1] (numeric) = 3.5717222714242672516086898898856 absolute error = 5e-31 relative error = 1.3998848790687719990950351500905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.749 y[1] (analytic) = 3.5717380192564045947309219577164 y[1] (numeric) = 3.5717380192564045947309219577168 absolute error = 4e-31 relative error = 1.1199029655687778297760365143494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (analytic) = 3.5717539443505079096173230560574 y[1] (numeric) = 3.5717539443505079096173230560578 absolute error = 4e-31 relative error = 1.1198979723468506941272174883345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.751 y[1] (analytic) = 3.5717700476906520201583388739913 y[1] (numeric) = 3.5717700476906520201583388739917 absolute error = 4e-31 relative error = 1.1198929232821755868692231676780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.752 y[1] (analytic) = 3.5717863302607335042184732822245 y[1] (numeric) = 3.5717863302607335042184732822249 absolute error = 4e-31 relative error = 1.1198878180677755505222533297198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.4MB, time=10.59 x[1] = 1.753 y[1] (analytic) = 3.5718027930444697097397924599611 y[1] (numeric) = 3.5718027930444697097397924599616 absolute error = 5e-31 relative error = 1.3998533204959473609883759765634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.754 y[1] (analytic) = 3.5718194370253977710246589292804 y[1] (numeric) = 3.5718194370253977710246589292808 absolute error = 4e-31 relative error = 1.1198774379623147812706612593558e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.755 y[1] (analytic) = 3.5718362631868736251986792141986 y[1] (numeric) = 3.571836263186873625198679214199 absolute error = 4e-31 relative error = 1.1198721624577238996586224267195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.756 y[1] (analytic) = 3.5718532725120710288548486613885 y[1] (numeric) = 3.5718532725120710288548486613889 absolute error = 4e-31 relative error = 1.1198668295763490254586307345522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.757 y[1] (analytic) = 3.5718704659839805748798767783271 y[1] (numeric) = 3.5718704659839805748798767783275 absolute error = 4e-31 relative error = 1.1198614390116406691852191080292e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.758 y[1] (analytic) = 3.5718878445854087094636762624666 y[1] (numeric) = 3.571887844585408709463676262467 absolute error = 4e-31 relative error = 1.1198559904571366910593625709863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.759 y[1] (analytic) = 3.5719054092989767492929987118558 y[1] (numeric) = 3.5719054092989767492929987118563 absolute error = 5e-31 relative error = 1.3998131045080786539933913360058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = 3.5719231611071198989301998234959 y[1] (numeric) = 3.5719231611071198989301998234964 absolute error = 5e-31 relative error = 1.3998061476916672415891860889109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.761 y[1] (analytic) = 3.571941100992086268378116700582 y[1] (numeric) = 3.5719411009920862683781167005825 absolute error = 5e-31 relative error = 1.3997991172394411871178225493636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.762 y[1] (analytic) = 3.5719592299359358908320397036728 y[1] (numeric) = 3.5719592299359358908320397036733 absolute error = 5e-31 relative error = 1.3997920127687673602921994115892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.763 y[1] (analytic) = 3.5719775489205397406197610937332 y[1] (numeric) = 3.5719775489205397406197610937338 absolute error = 6e-31 relative error = 1.6797418006765508702175743413313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.764 y[1] (analytic) = 3.5719960589275787513306825269212 y[1] (numeric) = 3.5719960589275787513306825269218 absolute error = 6e-31 relative error = 1.6797330962905321526460674128461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.765 y[1] (analytic) = 3.5720147609385428341349632719272 y[1] (numeric) = 3.5720147609385428341349632719277 absolute error = 5e-31 relative error = 1.3997702514214290819708488125057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.766 y[1] (analytic) = 3.5720336559347298962936908306383 y[1] (numeric) = 3.5720336559347298962936908306388 absolute error = 5e-31 relative error = 1.3997628470529065659484877462236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.767 y[1] (analytic) = 3.5720527448972448598610554518738 y[1] (numeric) = 3.5720527448972448598610554518743 absolute error = 5e-31 relative error = 1.3997553667544828089796576068154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.768 y[1] (analytic) = 3.5720720288069986805795098359356 y[1] (numeric) = 3.5720720288069986805795098359361 absolute error = 5e-31 relative error = 1.3997478101442150886184650557782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.769 y[1] (analytic) = 3.5720915086447073669688951347323 y[1] (numeric) = 3.5720915086447073669688951347328 absolute error = 5e-31 relative error = 1.3997401768402785262993683591191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = 3.5721111853908909996105141582696 y[1] (numeric) = 3.5721111853908909996105141582701 absolute error = 5e-31 relative error = 1.3997324664609668853288457120418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.771 y[1] (analytic) = 3.5721310600258727506271325033512 y[1] (numeric) = 3.5721310600258727506271325033517 absolute error = 5e-31 relative error = 1.3997246786246933706971266958175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.772 y[1] (analytic) = 3.5721511335297779033598881244085 y[1] (numeric) = 3.572151133529777903359888124409 absolute error = 5e-31 relative error = 1.3997168129499914307062911264166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.773 y[1] (analytic) = 3.5721714068825328722430896694666 y[1] (numeric) = 3.5721714068825328722430896694671 absolute error = 5e-31 relative error = 1.3997088690555155604110194141959e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.774 y[1] (analytic) = 3.5721918810638642228778837063675 y[1] (numeric) = 3.572191881063864222877883706368 absolute error = 5e-31 relative error = 1.3997008465600421068682583928570e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.775 y[1] (analytic) = 3.5722125570532976923057707655014 y[1] (numeric) = 3.5722125570532976923057707655019 absolute error = 5e-31 relative error = 1.3996927450824700761920463942732e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.776 y[1] (analytic) = 3.5722334358301572094829499254481 y[1] (numeric) = 3.5722334358301572094829499254486 absolute error = 5e-31 relative error = 1.3996845642418219424097211438991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.777 y[1] (analytic) = 3.5722545183735639159564714671028 y[1] (numeric) = 3.5722545183735639159564714671032 absolute error = 4e-31 relative error = 1.1197410429257955664925710636582e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.778 y[1] (analytic) = 3.572275805662435186743176920051 y[1] (numeric) = 3.5722758056624351867431769200515 absolute error = 5e-31 relative error = 1.3996679629480094669191124548833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.779 y[1] (analytic) = 3.5722972986754836514124056221732 y[1] (numeric) = 3.5722972986754836514124056221736 absolute error = 4e-31 relative error = 1.1197276333868117741449258617219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = 3.5723189983912162153734467096874 y[1] (numeric) = 3.5723189983912162153734467096878 absolute error = 4e-31 relative error = 1.1197208317066277444310489997961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.4MB, time=10.78 x[1] = 1.781 y[1] (analytic) = 3.5723409057879330813687152501003 y[1] (numeric) = 3.5723409057879330813687152501007 absolute error = 4e-31 relative error = 1.1197139650135770917684213513215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.782 y[1] (analytic) = 3.5723630218437267711736310248061 y[1] (numeric) = 3.5723630218437267711736310248065 absolute error = 4e-31 relative error = 1.1197070330034841104642494954617e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.783 y[1] (analytic) = 3.5723853475364811475041782613741 y[1] (numeric) = 3.5723853475364811475041782613745 absolute error = 4e-31 relative error = 1.1197000353722764388449419275353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.784 y[1] (analytic) = 3.5724078838438704361331244078837 y[1] (numeric) = 3.572407883843870436133124407884 absolute error = 3e-31 relative error = 8.3976972886198928831941485991989e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.785 y[1] (analytic) = 3.5724306317433582482158758330062 y[1] (numeric) = 3.5724306317433582482158758330065 absolute error = 3e-31 relative error = 8.3976438152306118787081042369366e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.786 y[1] (analytic) = 3.572453592212196602826948125897 y[1] (numeric) = 3.5724535922121966028269481258974 absolute error = 4e-31 relative error = 1.1196786457128056641027639730112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.787 y[1] (analytic) = 3.5724767662274249497080284593455 y[1] (numeric) = 3.5724767662274249497080284593459 absolute error = 4e-31 relative error = 1.1196713825585055721345209657761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.788 y[1] (analytic) = 3.5725001547658691922286072680389 y[1] (numeric) = 3.5725001547658691922286072680393 absolute error = 4e-31 relative error = 1.1196640522643022387746353988922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.789 y[1] (analytic) = 3.5725237588041407105601562812283 y[1] (numeric) = 3.5725237588041407105601562812287 absolute error = 4e-31 relative error = 1.1196566545267572443797995891885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = 3.5725475793186353850648297355354 y[1] (numeric) = 3.5725475793186353850648297355358 absolute error = 4e-31 relative error = 1.1196491890425401524125946081179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.791 y[1] (analytic) = 3.5725716172855326198996653791193 y[1] (numeric) = 3.5725716172855326198996653791197 absolute error = 4e-31 relative error = 1.1196416555084291777694766379864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.792 y[1] (analytic) = 3.5725958736807943668372616629195 y[1] (numeric) = 3.5725958736807943668372616629199 absolute error = 4e-31 relative error = 1.1196340536213118564993209689491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.793 y[1] (analytic) = 3.5726203494801641493039072982175 y[1] (numeric) = 3.5726203494801641493039072982179 absolute error = 4e-31 relative error = 1.1196263830781857169092254772023e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.794 y[1] (analytic) = 3.5726450456591660866361391423056 y[1] (numeric) = 3.572645045659166086636139142306 absolute error = 4e-31 relative error = 1.1196186435761589520542590082656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.795 y[1] (analytic) = 3.572669963193103918556704155624 y[1] (numeric) = 3.5726699631931039185567041556244 absolute error = 4e-31 relative error = 1.1196108348124510936078236606540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.796 y[1] (analytic) = 3.5726951030570600298709009543226 y[1] (numeric) = 3.572695103057060029870900954323 absolute error = 4e-31 relative error = 1.1196029564843936871092835248028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.797 y[1] (analytic) = 3.5727204662258944753842762618255 y[1] (numeric) = 3.5727204662258944753842762618258 absolute error = 3e-31 relative error = 8.3969625621707322643912198505289e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.798 y[1] (analytic) = 3.5727460536742440050426513416188 y[1] (numeric) = 3.5727460536742440050426513416191 absolute error = 3e-31 relative error = 8.3969024244384040690714889191752e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.799 y[1] (analytic) = 3.5727718663765210892954532711565 y[1] (numeric) = 3.5727718663765210892954532711568 absolute error = 3e-31 relative error = 8.3968417581685054599489071642514e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 3.5727979053069129446833256934694 y[1] (numeric) = 3.5727979053069129446833256934697 absolute error = 3e-31 relative error = 8.3967805610944342938240721480292e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.801 y[1] (analytic) = 3.5728241714393805596509934587871 y[1] (numeric) = 3.5728241714393805596509934587874 absolute error = 3e-31 relative error = 8.3967188309504540073335038973937e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.802 y[1] (analytic) = 3.5728506657476577205863553432261 y[1] (numeric) = 3.5728506657476577205863553432263 absolute error = 2e-31 relative error = 5.5977710436477991618331417257952e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.803 y[1] (analytic) = 3.5728773892052500380867788053701 y[1] (numeric) = 3.5728773892052500380867788053704 absolute error = 3e-31 relative error = 8.3965937623941784839315641904094e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.804 y[1] (analytic) = 3.5729043427854339734535705143683 y[1] (numeric) = 3.5729043427854339734535705143685 absolute error = 2e-31 relative error = 5.5976869463031894682658992066182e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.805 y[1] (analytic) = 3.5729315274612558654155961549967 y[1] (numeric) = 3.5729315274612558654155961549969 absolute error = 2e-31 relative error = 5.5976443562608620090032216441327e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.806 y[1] (analytic) = 3.5729589442055309570830227859855 y[1] (numeric) = 3.5729589442055309570830227859857 absolute error = 2e-31 relative error = 5.5976014032949155617869659428177e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.807 y[1] (analytic) = 3.5729865939908424231321567977858 y[1] (numeric) = 3.572986593990842423132156797786 absolute error = 2e-31 relative error = 5.5975580858983934011491093212019e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.808 y[1] (analytic) = 3.5730144777895403972223502848586 y[1] (numeric) = 3.5730144777895403972223502848588 absolute error = 2e-31 relative error = 5.5975144025649399167382804304117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.4MB, time=10.96 x[1] = 1.809 y[1] (analytic) = 3.5730425965737409996459484154975 y[1] (numeric) = 3.5730425965737409996459484154977 absolute error = 2e-31 relative error = 5.5974703517888040775196325163028e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = 3.573070951315325365212250149158 y[1] (numeric) = 3.5730709513153253652122501491582 absolute error = 2e-31 relative error = 5.5974259320648429026180660690392e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.811 y[1] (analytic) = 3.5730995429859386713664544172501 y[1] (numeric) = 3.5730995429859386713664544172503 absolute error = 2e-31 relative error = 5.5973811418885249387868243854329e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.812 y[1] (analytic) = 3.5731283725569891665445636483681 y[1] (numeric) = 3.5731283725569891665445636483683 absolute error = 2e-31 relative error = 5.5973359797559337444834024781663e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.813 y[1] (analytic) = 3.5731574409996471987652162829728 y[1] (numeric) = 3.5731574409996471987652162829731 absolute error = 3e-31 relative error = 8.3959356662456570708019401034007e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.814 y[1] (analytic) = 3.5731867492848442444594196856132 y[1] (numeric) = 3.5731867492848442444594196856135 absolute error = 3e-31 relative error = 8.3958668004140428610590195011275e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.815 y[1] (analytic) = 3.5732162983832719375391546248722 y[1] (numeric) = 3.5732162983832719375391546248724 absolute error = 2e-31 relative error = 5.5971982465906548888237609660892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.816 y[1] (analytic) = 3.5732460892653810987058222523526 y[1] (numeric) = 3.5732460892653810987058222523529 absolute error = 3e-31 relative error = 8.3957273724093433536464894599141e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.817 y[1] (analytic) = 3.5732761229013807649995042721757 y[1] (numeric) = 3.573276122901380764999504272176 absolute error = 3e-31 relative error = 8.3956568057329425844396431976097e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.818 y[1] (analytic) = 3.5733064002612372195900067516493 y[1] (numeric) = 3.5733064002612372195900067516495 absolute error = 2e-31 relative error = 5.5970571117377005124002714615779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.819 y[1] (analytic) = 3.5733369223146730218106577819826 y[1] (numeric) = 3.5733369223146730218106577819828 absolute error = 2e-31 relative error = 5.5970093038539320164486625259954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.82 y[1] (analytic) = 3.5733676900311660374358289551691 y[1] (numeric) = 3.5733676900311660374358289551693 absolute error = 2e-31 relative error = 5.5969611120051194341146487474844e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.821 y[1] (analytic) = 3.5733987043799484692031503794342 y[1] (numeric) = 3.5733987043799484692031503794343 absolute error = 1e-31 relative error = 2.7984562673465196468850926507601e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.822 y[1] (analytic) = 3.5734299663300058875813887109524 y[1] (numeric) = 3.5734299663300058875813887109525 absolute error = 1e-31 relative error = 2.7984317852100591678101420764525e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.823 y[1] (analytic) = 3.5734614768500762617849574338759 y[1] (numeric) = 3.573461476850076261784957433876 absolute error = 1e-31 relative error = 2.7984071088447185336218330554748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.824 y[1] (analytic) = 3.5734932369086489910360283740824 y[1] (numeric) = 3.5734932369086489910360283740825 absolute error = 1e-31 relative error = 2.7983822375023666627587625325210e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.825 y[1] (analytic) = 3.5735252474739639360752131844505 y[1] (numeric) = 3.5735252474739639360752131844505 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.826 y[1] (analytic) = 3.5735575095140104509217832909 y[1] (numeric) = 3.5735575095140104509217832909001 absolute error = 1e-31 relative error = 2.7983319068957589160509847729724e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.827 y[1] (analytic) = 3.5735900239965264148843965388983 y[1] (numeric) = 3.5735900239965264148843965388984 absolute error = 1e-31 relative error = 2.7983064461369002734881706607129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.828 y[1] (analytic) = 3.5736227918889972648232985296221 y[1] (numeric) = 3.5736227918889972648232985296221 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.829 y[1] (analytic) = 3.5736558141586550276649663834959 y[1] (numeric) = 3.573655814158655027664966383496 absolute error = 1e-31 relative error = 2.7982549299740824975461202518501e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (analytic) = 3.5736890917724773531701624163815 y[1] (numeric) = 3.5736890917724773531701624163816 absolute error = 1e-31 relative error = 2.7982288730775409154250723942655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.831 y[1] (analytic) = 3.5737226256971865469563649602831 y[1] (numeric) = 3.5737226256971865469563649602832 absolute error = 1e-31 relative error = 2.7982026159764234026089615773718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.832 y[1] (analytic) = 3.5737564168992486037755433060589 y[1] (numeric) = 3.5737564168992486037755433060591 absolute error = 2e-31 relative error = 5.5963523158505853784902537590170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.833 y[1] (analytic) = 3.573790466344872241048243490282 y[1] (numeric) = 3.5737904663448722410482434902822 absolute error = 2e-31 relative error = 5.5962989963581126816823126654711e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.834 y[1] (analytic) = 3.5738247750000079326549513920846 y[1] (numeric) = 3.5738247750000079326549513920848 absolute error = 2e-31 relative error = 5.5962452719859371412291006842137e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.835 y[1] (analytic) = 3.5738593438303469429856993485423 y[1] (numeric) = 3.5738593438303469429856993485425 absolute error = 2e-31 relative error = 5.5961911412452641098537332425052e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.836 y[1] (analytic) = 3.5738941738013203612488822389111 y[1] (numeric) = 3.5738941738013203612488822389113 absolute error = 2e-31 relative error = 5.5961366026479995035846329954942e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.837 y[1] (analytic) = 3.5739292658780981360402487288209 y[1] (numeric) = 3.5739292658780981360402487288211 absolute error = 2e-31 relative error = 5.5960816547067534449014812833573e-30 % Correct digits = 31 h = 0.001 memory used=232.7MB, alloc=4.4MB, time=11.15 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.838 y[1] (analytic) = 3.5739646210255881101730331053529 y[1] (numeric) = 3.573964621025588110173033105353 absolute error = 1e-31 relative error = 2.7980131479674219559948504668655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.839 y[1] (analytic) = 3.5740002402084350557701928727894 y[1] (numeric) = 3.5740002402084350557701928727895 absolute error = 1e-31 relative error = 2.7979852624231501970415796469332e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = 3.5740361243910197096197170167184 y[1] (numeric) = 3.5740361243910197096197170167185 absolute error = 1e-31 relative error = 2.7979571699779337764373483786398e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.841 y[1] (analytic) = 3.574072274537457808793969581103 y[1] (numeric) = 3.5740722745374578087939695811031 absolute error = 1e-31 relative error = 2.7979288698895044449870012130619e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.842 y[1] (analytic) = 3.574108691611599126534032938893 y[1] (numeric) = 3.574108691611599126534032938893 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.843 y[1] (analytic) = 3.5741453765770265084000148717538 y[1] (numeric) = 3.5741453765770265084000148717539 absolute error = 1e-31 relative error = 2.7978716438157421760165113748189e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.844 y[1] (analytic) = 3.5741823303970549086882833085273 y[1] (numeric) = 3.5741823303970549086882833085273 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.845 y[1] (analytic) = 3.5742195540347304271165923051064 y[1] (numeric) = 3.5742195540347304271165923051064 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.846 y[1] (analytic) = 3.5742570484528293457780625805209 y[1] (numeric) = 3.5742570484528293457780625805209 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.847 y[1] (analytic) = 3.5742948146138571663649796551702 y[1] (numeric) = 3.5742948146138571663649796551702 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.848 y[1] (analytic) = 3.5743328534800476476633723673274 y[1] (numeric) = 3.5743328534800476476633723673274 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.849 y[1] (analytic) = 3.574371166013361843319334273254 y[1] (numeric) = 3.574371166013361843319334273254 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = 3.5744097531754871398780501645252 y[1] (numeric) = 3.5744097531754871398780501645252 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.851 y[1] (analytic) = 3.5744486159278362950964896634576 y[1] (numeric) = 3.5744486159278362950964896634576 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.852 y[1] (analytic) = 3.574487755231546476530729583867 y[1] (numeric) = 3.574487755231546476530729583867 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.853 y[1] (analytic) = 3.5745271720474783003988664697527 y[1] (numeric) = 3.5745271720474783003988664697527 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.854 y[1] (analytic) = 3.5745668673362148707204804489163 y[1] (numeric) = 3.5745668673362148707204804489163 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.855 y[1] (analytic) = 3.5746068420580608187336112619711 y[1] (numeric) = 3.5746068420580608187336112619711 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.856 y[1] (analytic) = 3.5746470971730413425902070496855 y[1] (numeric) = 3.5746470971730413425902070496855 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.857 y[1] (analytic) = 3.5746876336409012473310062031319 y[1] (numeric) = 3.5746876336409012473310062031319 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.858 y[1] (analytic) = 3.5747284524211039851408123016798 y[1] (numeric) = 3.5747284524211039851408123016797 absolute error = 1e-31 relative error = 2.7974152814956242938892706038861e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.859 y[1] (analytic) = 3.5747695544728306958851218834766 y[1] (numeric) = 3.5747695544728306958851218834766 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = 3.5748109407549792479290645117109 y[1] (numeric) = 3.5748109407549792479290645117108 absolute error = 1e-31 relative error = 2.7973507314733847850869577631407e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.861 y[1] (analytic) = 3.574852612226163279239614317635 y[1] (numeric) = 3.5748526122261632792396143176349 absolute error = 1e-31 relative error = 2.7973181232142359888087785858035e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.862 y[1] (analytic) = 3.5748945698447112387720319180588 y[1] (numeric) = 3.5748945698447112387720319180587 absolute error = 1e-31 relative error = 2.7972852918105461688528831002451e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.863 y[1] (analytic) = 3.5749368145686654281414953207902 y[1] (numeric) = 3.57493681456866542814149532079 absolute error = 2e-31 relative error = 5.5945044730568484723404726979513e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.864 y[1] (analytic) = 3.5749793473557810435808781463126 y[1] (numeric) = 3.5749793473557810435808781463125 absolute error = 1e-31 relative error = 2.7972189566343815077945972299170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.865 y[1] (analytic) = 3.5750221691635252181856332078425 y[1] (numeric) = 3.5750221691635252181856332078424 absolute error = 1e-31 relative error = 2.7971854513953336099591888038375e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.4MB, time=11.34 x[1] = 1.866 y[1] (analytic) = 3.5750652809490760644467392048008 y[1] (numeric) = 3.5750652809490760644467392048007 absolute error = 1e-31 relative error = 2.7971517200786023839674818311760e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.867 y[1] (analytic) = 3.5751086836693217170726679966749 y[1] (numeric) = 3.5751086836693217170726679966748 absolute error = 1e-31 relative error = 2.7971177619519177948067667642182e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.868 y[1] (analytic) = 3.5751523782808593761013296352216 y[1] (numeric) = 3.5751523782808593761013296352215 absolute error = 1e-31 relative error = 2.7970835762834198424931478110616e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.869 y[1] (analytic) = 3.5751963657399943503029520429881 y[1] (numeric) = 3.575196365739994350302952042988 absolute error = 1e-31 relative error = 2.7970491623416604761365510954168e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (analytic) = 3.5752406470027391008748519351901 y[1] (numeric) = 3.57524064700273910087485193519 absolute error = 1e-31 relative error = 2.7970145193956055107142973617847e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.871 y[1] (analytic) = 3.5752852230248122854290532900978 y[1] (numeric) = 3.5752852230248122854290532900977 absolute error = 1e-31 relative error = 2.7969796467146365465417481195951e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.872 y[1] (analytic) = 3.5753300947616378022737093802308 y[1] (numeric) = 3.5753300947616378022737093802306 absolute error = 2e-31 relative error = 5.5938890871371057828569851664676e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.873 y[1] (analytic) = 3.5753752631683438349892840828599 y[1] (numeric) = 3.5753752631683438349892840828597 absolute error = 2e-31 relative error = 5.5938184184551469710170024964116e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.874 y[1] (analytic) = 3.5754207291997618973004478935565 y[1] (numeric) = 3.5754207291997618973004478935563 absolute error = 2e-31 relative error = 5.5937472859246776574652608954228e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.875 y[1] (analytic) = 3.5754664938104258782446437708118 y[1] (numeric) = 3.5754664938104258782446437708117 absolute error = 1e-31 relative error = 2.7968378440439129110118207593623e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.876 y[1] (analytic) = 3.5755125579545710876382776430823 y[1] (numeric) = 3.5755125579545710876382776430821 absolute error = 2e-31 relative error = 5.5936036234875702899985813586812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.877 y[1] (analytic) = 3.5755589225861333018414881119898 y[1] (numeric) = 3.5755589225861333018414881119896 absolute error = 2e-31 relative error = 5.5935310906677446029999711034762e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.878 y[1] (analytic) = 3.575605588658747809822449586829 y[1] (numeric) = 3.5756055886587478098224495868287 absolute error = 3e-31 relative error = 8.3901871322595613424865010044254e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.879 y[1] (analytic) = 3.5756525571257484595221627859969 y[1] (numeric) = 3.5756525571257484595221627859967 absolute error = 2e-31 relative error = 5.5933846145490137735453068083208e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = 3.5756998289401667045206862404778 y[1] (numeric) = 3.5756998289401667045206862404776 absolute error = 2e-31 relative error = 5.5933106683420842062876944724233e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.881 y[1] (analytic) = 3.5757474050547306510057621330689 y[1] (numeric) = 3.5757474050547306510057621330688 absolute error = 1e-31 relative error = 2.7966181240497717062473104842656e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.882 y[1] (analytic) = 3.5757952864218641050447895046453 y[1] (numeric) = 3.5757952864218641050447895046451 absolute error = 2e-31 relative error = 5.5931613523695567598305493101133e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.883 y[1] (analytic) = 3.5758434739936856201610975554078 y[1] (numeric) = 3.5758434739936856201610975554076 absolute error = 2e-31 relative error = 5.5930859797011676661961946325877e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.884 y[1] (analytic) = 3.5758919687220075452154714647648 y[1] (numeric) = 3.5758919687220075452154714647646 absolute error = 2e-31 relative error = 5.5930101286443015066646050326289e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.885 y[1] (analytic) = 3.5759407715583350725938828482396 y[1] (numeric) = 3.5759407715583350725938828482394 absolute error = 2e-31 relative error = 5.5929337977497695254809357523847e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.886 y[1] (analytic) = 3.5759898834538652867023766635958 y[1] (numeric) = 3.5759898834538652867023766635955 absolute error = 3e-31 relative error = 8.3892854783539091296525398697313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.887 y[1] (analytic) = 3.576039305359486212770066071213 y[1] (numeric) = 3.5760393053594862127700660712128 absolute error = 2e-31 relative error = 5.5927796906554059282491433471502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.888 y[1] (analytic) = 3.5760890382257758659611864456405 y[1] (numeric) = 3.5760890382257758659611864456403 absolute error = 2e-31 relative error = 5.5927019115616614249564954817108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.889 y[1] (analytic) = 3.5761390830030013007971594261932 y[1] (numeric) = 3.576139083003001300797159426193 absolute error = 2e-31 relative error = 5.5926236468424331845793926992105e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = 3.5761894406411176608896175844488 y[1] (numeric) = 3.5761894406411176608896175844486 absolute error = 2e-31 relative error = 5.5925448950530206527491551294104e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.891 y[1] (analytic) = 3.5762401120897672289853399755412 y[1] (numeric) = 3.576240112089767228985339975541 absolute error = 2e-31 relative error = 5.5924656547496327212431424305690e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.892 y[1] (analytic) = 3.5762910982982784773240485282357 y[1] (numeric) = 3.5762910982982784773240485282355 absolute error = 2e-31 relative error = 5.5923859244893916747475187827797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.893 y[1] (analytic) = 3.5763424002156651183100149159105 y[1] (numeric) = 3.5763424002156651183100149159103 absolute error = 2e-31 relative error = 5.5923057028303371424876220531840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.4MB, time=11.52 x[1] = 1.894 y[1] (analytic) = 3.5763940187906251554984272367584 y[1] (numeric) = 3.5763940187906251554984272367582 absolute error = 2e-31 relative error = 5.5922249883314300547010568994205e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.895 y[1] (analytic) = 3.576445954971539934897465516763 y[1] (numeric) = 3.5764459549715399348974655167628 absolute error = 2e-31 relative error = 5.5921437795525566039285497897276e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.896 y[1] (analytic) = 3.5764982097064731965870347332948 y[1] (numeric) = 3.5764982097064731965870347332946 absolute error = 2e-31 relative error = 5.5920620750545322110975222036644e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.897 y[1] (analytic) = 3.5765507839431701266551037405154 y[1] (numeric) = 3.5765507839431701266551037405152 absolute error = 2e-31 relative error = 5.5919798733991054963732566379578e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.898 y[1] (analytic) = 3.5766036786290564094525981601716 y[1] (numeric) = 3.5766036786290564094525981601714 absolute error = 2e-31 relative error = 5.5918971731489622547524484790045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.899 y[1] (analytic) = 3.5766568947112372801677949828071 y[1] (numeric) = 3.5766568947112372801677949828069 absolute error = 2e-31 relative error = 5.5918139728677294363738553185526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (analytic) = 3.5767104331364965777211663049197 y[1] (numeric) = 3.5767104331364965777211663049195 absolute error = 2e-31 relative error = 5.5917302711199791315206738835558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.901 y[1] (analytic) = 3.5767642948512957979816193071394 y[1] (numeric) = 3.5767642948512957979816193071392 absolute error = 2e-31 relative error = 5.5916460664712325602891934266435e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.902 y[1] (analytic) = 3.57681848080177314730507925711 y[1] (numeric) = 3.5768184808017731473050792571099 absolute error = 1e-31 relative error = 2.7957806787439820334490965907826e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.903 y[1] (analytic) = 3.576872991933742596396361998412 y[1] (numeric) = 3.5768729919337425963963619984119 absolute error = 1e-31 relative error = 2.7957380713688025593067351649382e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.904 y[1] (analytic) = 3.5769278291926929344952820635746 y[1] (numeric) = 3.5769278291926929344952820635745 absolute error = 1e-31 relative error = 2.7956952103942741546309019262614e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.905 y[1] (analytic) = 3.5769829935237868238879422249912 y[1] (numeric) = 3.5769829935237868238879422249911 absolute error = 1e-31 relative error = 2.7956520951050756836542893271887e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.906 y[1] (analytic) = 3.5770384858718598547441499723694 y[1] (numeric) = 3.5770384858718598547441499723692 absolute error = 2e-31 relative error = 5.5912174495727411684732134526823e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.907 y[1] (analytic) = 3.5770943071814196002819060792194 y[1] (numeric) = 3.5770943071814196002819060792193 absolute error = 1e-31 relative error = 2.7955650987238088764282275566458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.908 y[1] (analytic) = 3.577150458396644672259910093816 y[1] (numeric) = 3.5771504583966446722599100938159 absolute error = 1e-31 relative error = 2.7955212162035291732767607015358e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.909 y[1] (analytic) = 3.5772069404613837767990272620466 y[1] (numeric) = 3.5772069404613837767990272620465 absolute error = 1e-31 relative error = 2.7954770765121606938634967521859e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (analytic) = 3.5772637543191547705336610606025 y[1] (numeric) = 3.5772637543191547705336610606024 absolute error = 1e-31 relative error = 2.7954326789368252785566395547941e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.911 y[1] (analytic) = 3.5773209009131437170939751890608 y[1] (numeric) = 3.5773209009131437170939751890607 absolute error = 1e-31 relative error = 2.7953880227651394064681932410416e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.912 y[1] (analytic) = 3.5773783811862039439199085385568 y[1] (numeric) = 3.5773783811862039439199085385567 absolute error = 1e-31 relative error = 2.7953431072852162151013347677949e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.913 y[1] (analytic) = 3.577436196080855099407926322953 y[1] (numeric) = 3.5774361960808550994079263229529 absolute error = 1e-31 relative error = 2.7952979317856675221750618746303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.914 y[1] (analytic) = 3.5774943465392822103914502256754 y[1] (numeric) = 3.5774943465392822103914502256753 absolute error = 1e-31 relative error = 2.7952524955556058496128663006214e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.915 y[1] (analytic) = 3.577552833503334739955910081708 y[1] (numeric) = 3.5775528335033347399559100817079 absolute error = 1e-31 relative error = 2.7952067978846464496821420858064e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.916 y[1] (analytic) = 3.5776116579145256455893592796158 y[1] (numeric) = 3.5776116579145256455893592796157 absolute error = 1e-31 relative error = 2.7951608380629093332709988186073e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.917 y[1] (analytic) = 3.5776708207140304376695957329015 y[1] (numeric) = 3.5776708207140304376695957329014 absolute error = 1e-31 relative error = 2.7951146153810213002891097789758e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.918 y[1] (analytic) = 3.5777303228426862382887299334981 y[1] (numeric) = 3.5777303228426862382887299334979 absolute error = 2e-31 relative error = 5.5901362582602359443583701379278e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.919 y[1] (analytic) = 3.5777901652409908404161412627486 y[1] (numeric) = 3.5777901652409908404161412627485 absolute error = 1e-31 relative error = 2.7950213786018458265256200185274e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = 3.577850348849101767400763396841 y[1] (numeric) = 3.5778503488491017674007633968408 absolute error = 2e-31 relative error = 5.5899487261767284674936588108806e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.921 y[1] (analytic) = 3.5779108746068353328136393043312 y[1] (numeric) = 3.577910874606835332813639304331 absolute error = 2e-31 relative error = 5.5898541637646949917154766700053e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.922 y[1] (analytic) = 3.5779717434536657006316859931244 y[1] (numeric) = 3.5779717434536657006316859931243 memory used=244.1MB, alloc=4.4MB, time=11.70 absolute error = 1e-31 relative error = 2.7948795342769868872888609885297e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.923 y[1] (analytic) = 3.578032956328723945763608823069 y[1] (numeric) = 3.5780329563287239457636088230689 absolute error = 1e-31 relative error = 2.7948317195659926977483588702030e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.924 y[1] (analytic) = 3.578094514170797114918904858171 y[1] (numeric) = 3.578094514170797114918904858171 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.925 y[1] (analytic) = 3.5781564179183272878208943893491 y[1] (numeric) = 3.578156417918327287820894389349 absolute error = 1e-31 relative error = 2.7947352860045520823373463219341e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.926 y[1] (analytic) = 3.5782186685094106387647194146175 y[1] (numeric) = 3.5782186685094106387647194146174 absolute error = 1e-31 relative error = 2.7946866657441397263583986997877e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.927 y[1] (analytic) = 3.5782812668817964985212475186234 y[1] (numeric) = 3.5782812668817964985212475186232 absolute error = 2e-31 relative error = 5.5892755511163320579940130365185e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.928 y[1] (analytic) = 3.5783442139728864165878192475534 y[1] (numeric) = 3.5783442139728864165878192475533 absolute error = 1e-31 relative error = 2.7945886147429670698271633907485e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.929 y[1] (analytic) = 3.5784075107197332237867767285873 y[1] (numeric) = 3.5784075107197332237867767285871 absolute error = 2e-31 relative error = 5.5890783651908204860167764877069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (analytic) = 3.5784711580590400952127109352881 y[1] (numeric) = 3.5784711580590400952127109352879 absolute error = 2e-31 relative error = 5.5889789568257926281285867956611e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.931 y[1] (analytic) = 3.5785351569271596135293646516072 y[1] (numeric) = 3.578535156927159613529364651607 absolute error = 2e-31 relative error = 5.5888790029867229571876949062408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.932 y[1] (analytic) = 3.5785995082600928326171278375206 y[1] (numeric) = 3.5785995082600928326171278375203 absolute error = 3e-31 relative error = 8.3831677534058382687041133109458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.933 y[1] (analytic) = 3.5786642129934883415720617487238 y[1] (numeric) = 3.5786642129934883415720617487236 absolute error = 2e-31 relative error = 5.5886774532753267730625300675802e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.934 y[1] (analytic) = 3.5787292720626413290573878112846 y[1] (numeric) = 3.5787292720626413290573878112844 absolute error = 2e-31 relative error = 5.5885758546001364533868603158437e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.935 y[1] (analytic) = 3.5787946864024926480083768996838 y[1] (numeric) = 3.5787946864024926480083768996836 absolute error = 2e-31 relative error = 5.5884737048451849691306032603497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.936 y[1] (analytic) = 3.5788604569476278806915743132802 y[1] (numeric) = 3.57886045694762788069157431328 absolute error = 2e-31 relative error = 5.5883710026117609069127585761978e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.937 y[1] (analytic) = 3.5789265846322764041192953918943 y[1] (numeric) = 3.5789265846322764041192953918941 absolute error = 2e-31 relative error = 5.5882677465022484976421969965638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.938 y[1] (analytic) = 3.5789930703903104558203263559382 y[1] (numeric) = 3.578993070390310455820326355938 absolute error = 2e-31 relative error = 5.5881639351201317602116934905743e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.939 y[1] (analytic) = 3.5790599151552441999677646003138 y[1] (numeric) = 3.5790599151552441999677646003136 absolute error = 2e-31 relative error = 5.5880595670699986488317854967722e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = 3.5791271198602327938649323141593 y[1] (numeric) = 3.5791271198602327938649323141591 absolute error = 2e-31 relative error = 5.5879546409575452039759128085161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.941 y[1] (analytic) = 3.5791946854380714547902969404544 y[1] (numeric) = 3.5791946854380714547902969404542 absolute error = 2e-31 relative error = 5.5878491553895797069082188777671e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.942 y[1] (analytic) = 3.5792626128211945272023316304852 y[1] (numeric) = 3.579262612821194527202331630485 absolute error = 2e-31 relative error = 5.5877431089740268377653166181551e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.943 y[1] (analytic) = 3.5793309029416745503052484882302 y[1] (numeric) = 3.5793309029416745503052484882301 absolute error = 1e-31 relative error = 2.7938182501599659185816226242703e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.944 y[1] (analytic) = 3.5793995567312213259765370388576 y[1] (numeric) = 3.5793995567312213259765370388574 absolute error = 2e-31 relative error = 5.5875293280374646713007683260938e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.945 y[1] (analytic) = 3.579468575121180987057239993716 y[1] (numeric) = 3.5794685751211809870572399937158 absolute error = 2e-31 relative error = 5.5874215907379242005300868747831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.946 y[1] (analytic) = 3.5795379590425350660058980214677 y[1] (numeric) = 3.5795379590425350660058980214675 absolute error = 2e-31 relative error = 5.5873132870337423513659654226743e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.947 y[1] (analytic) = 3.5796077094258995639170948713391 y[1] (numeric) = 3.5796077094258995639170948713389 absolute error = 2e-31 relative error = 5.5872044155384882919041928211983e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.948 y[1] (analytic) = 3.5796778272015240199055338298682 y[1] (numeric) = 3.579677827201524019905533829868 absolute error = 2e-31 relative error = 5.5870949748668726106202239331071e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.949 y[1] (analytic) = 3.5797483132992905808565761269936 y[1] (numeric) = 3.5797483132992905808565761269934 absolute error = 2e-31 relative error = 5.5869849636347514985187726448216e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (analytic) = 3.5798191686487130715441715408693 y[1] (numeric) = 3.5798191686487130715441715408691 absolute error = 2e-31 relative error = 5.5868743804591309346050511848546e-30 % Correct digits = 31 h = 0.001 memory used=247.9MB, alloc=4.4MB, time=11.89 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.951 y[1] (analytic) = 3.5798903941789360651171110833982 y[1] (numeric) = 3.579890394178936065117111083398 absolute error = 2e-31 relative error = 5.5867632239581708746482754145589e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.952 y[1] (analytic) = 3.5799619908187339539545312801525 y[1] (numeric) = 3.5799619908187339539545312801523 absolute error = 2e-31 relative error = 5.5866514927511894432079806022099e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.953 y[1] (analytic) = 3.5800339594965100208915991891009 y[1] (numeric) = 3.5800339594965100208915991891007 absolute error = 2e-31 relative error = 5.5865391854586671288936171979547e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.954 y[1] (analytic) = 3.5801063011402955108163069323792 y[1] (numeric) = 3.580106301140295510816306932379 absolute error = 2e-31 relative error = 5.5864263007022509828278212970658e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.955 y[1] (analytic) = 3.5801790166777487026383041442326 y[1] (numeric) = 3.5801790166777487026383041442324 absolute error = 2e-31 relative error = 5.5863128371047588202836798137990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.956 y[1] (analytic) = 3.5802521070361539816306963662199 y[1] (numeric) = 3.5802521070361539816306963662197 absolute error = 2e-31 relative error = 5.5861987932901834254662358895831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.957 y[1] (analytic) = 3.5803255731424209121457370478045 y[1] (numeric) = 3.5803255731424209121457370478043 absolute error = 2e-31 relative error = 5.5860841678836967594084057288549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.958 y[1] (analytic) = 3.5803994159230833107053404365617 y[1] (numeric) = 3.5803994159230833107053404365615 absolute error = 2e-31 relative error = 5.5859689595116541709514038951939e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.959 y[1] (analytic) = 3.5804736363042983194673422674137 y[1] (numeric) = 3.5804736363042983194673422674134 absolute error = 3e-31 relative error = 8.3787797502023979161695501666643e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = 3.5805482352118454800684347845526 y[1] (numeric) = 3.5805482352118454800684347845523 absolute error = 3e-31 relative error = 8.3786051825733972727206851827285e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.961 y[1] (analytic) = 3.5806232135711258078447022530412 y[1] (numeric) = 3.5806232135711258078447022530409 absolute error = 3e-31 relative error = 8.3784297343253755388959843123371e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.962 y[1] (analytic) = 3.5806985723071608664306827394771 y[1] (numeric) = 3.5806985723071608664306827394769 absolute error = 2e-31 relative error = 5.5855022689366862136483861353366e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.963 y[1] (analytic) = 3.5807743123445918427378815625828 y[1] (numeric) = 3.5807743123445918427378815625826 absolute error = 2e-31 relative error = 5.5853841251739079700780127011657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.964 y[1] (analytic) = 3.5808504346076786223136614351295 y[1] (numeric) = 3.5808504346076786223136614351293 absolute error = 2e-31 relative error = 5.5852653902287932371122296092723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.965 y[1] (analytic) = 3.5809269400202988650814339382292 y[1] (numeric) = 3.580926940020298865081433938229 absolute error = 2e-31 relative error = 5.5851460627360992384872331272577e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.966 y[1] (analytic) = 3.5810038295059470814630765877257 y[1] (numeric) = 3.5810038295059470814630765877255 absolute error = 2e-31 relative error = 5.5850261413318003810205329151747e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.967 y[1] (analytic) = 3.5810811039877337088844993701903 y[1] (numeric) = 3.5810811039877337088844993701901 absolute error = 2e-31 relative error = 5.5849056246530924919941695136855e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.968 y[1] (analytic) = 3.5811587643883841886652842428788 y[1] (numeric) = 3.5811587643883841886652842428786 absolute error = 2e-31 relative error = 5.5847845113383970593193702734224e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.969 y[1] (analytic) = 3.5812368116302380432933207079341 y[1] (numeric) = 3.5812368116302380432933207079339 absolute error = 2e-31 relative error = 5.5846628000273654744519366526914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (analytic) = 3.5813152466352479540853601861207 y[1] (numeric) = 3.5813152466352479540853601861205 absolute error = 2e-31 relative error = 5.5845404893608832780275838119920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.971 y[1] (analytic) = 3.5813940703249788392344115294612 y[1] (numeric) = 3.581394070324978839234411529461 absolute error = 2e-31 relative error = 5.5844175779810744081863816257590e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.972 y[1] (analytic) = 3.5814732836206069322448996253009 y[1] (numeric) = 3.5814732836206069322448996253007 absolute error = 2e-31 relative error = 5.5842940645313054515553746158663e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.973 y[1] (analytic) = 3.5815528874429188607565086565671 y[1] (numeric) = 3.5815528874429188607565086565669 absolute error = 2e-31 relative error = 5.5841699476561898968583868893728e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.974 y[1] (analytic) = 3.5816328827123107257576311943006 y[1] (numeric) = 3.5816328827123107257576311943005 absolute error = 1e-31 relative error = 2.7920226130007961955609734681793e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.975 y[1] (analytic) = 3.5817132703487871811893439089365 y[1] (numeric) = 3.5817132703487871811893439089364 absolute error = 1e-31 relative error = 2.7919599491073164992230980570377e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.976 y[1] (analytic) = 3.5817940512719605139408302962787 y[1] (numeric) = 3.5817940512719605139408302962785 absolute error = 2e-31 relative error = 5.5837939629436914613095738126661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.977 y[1] (analytic) = 3.5818752264010497242371704226714 y[1] (numeric) = 3.5818752264010497242371704226712 absolute error = 2e-31 relative error = 5.5836674188384114643760016669635e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.978 y[1] (analytic) = 3.5819567966548796064204173014999 y[1] (numeric) = 3.5819567966548796064204173014998 absolute error = 1e-31 relative error = 2.7917701322748524503866093749958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=251.7MB, alloc=4.4MB, time=12.07 TOP MAIN SOLVE Loop x[1] = 1.979 y[1] (analytic) = 3.5820387629518798301248791198681 y[1] (numeric) = 3.5820387629518798301248791198679 absolute error = 2e-31 relative error = 5.5834124987297561408108494583738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (analytic) = 3.5821211262100840218475261400928 y[1] (numeric) = 3.5821211262100840218475261400926 absolute error = 2e-31 relative error = 5.5832841200320263031067157794857e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.981 y[1] (analytic) = 3.582203887347128846914440705534 y[1] (numeric) = 3.5822038873471288469144407055338 absolute error = 2e-31 relative error = 5.5831551271112575280898358165184e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.982 y[1] (analytic) = 3.5822870472802530918442283842316 y[1] (numeric) = 3.5822870472802530918442283842314 absolute error = 2e-31 relative error = 5.5830255186234772538484808422248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.983 y[1] (analytic) = 3.5823706069262967471093078868628 y[1] (numeric) = 3.5823706069262967471093078868626 absolute error = 2e-31 relative error = 5.5828952932260024942915937566302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.984 y[1] (analytic) = 3.5824545672017000902959969976537 y[1] (numeric) = 3.5824545672017000902959969976535 absolute error = 2e-31 relative error = 5.5827644495774441195918026399986e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.985 y[1] (analytic) = 3.5825389290225027696643113580819 y[1] (numeric) = 3.5825389290225027696643113580817 absolute error = 2e-31 relative error = 5.5826329863377111388781941214815e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.986 y[1] (analytic) = 3.5826236933043428881083925434957 y[1] (numeric) = 3.5826236933043428881083925434954 absolute error = 3e-31 relative error = 8.3737513532520224777204137915888e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.987 y[1] (analytic) = 3.582708860962456087518481472145 y[1] (numeric) = 3.5827088609624560875184814721447 absolute error = 3e-31 relative error = 8.3735522935963107035367333538709e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.988 y[1] (analytic) = 3.5827944329116746335453527845752 y[1] (numeric) = 3.5827944329116746335453527845749 absolute error = 3e-31 relative error = 8.3733522985351751020268435007531e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.989 y[1] (analytic) = 3.5828804100664265007681254288717 y[1] (numeric) = 3.5828804100664265007681254288714 absolute error = 3e-31 relative error = 8.3731513660663323268304018809337e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (analytic) = 3.5829667933407344582663642838697 y[1] (numeric) = 3.5829667933407344582663642838694 absolute error = 3e-31 relative error = 8.3729494941894784091585967509288e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.991 y[1] (analytic) = 3.583053583648215155597387248151 y[1] (numeric) = 3.5830535836482151555973872481507 absolute error = 3e-31 relative error = 8.3727466809062952010725813967234e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.992 y[1] (analytic) = 3.5831407819020782091796918174444 y[1] (numeric) = 3.583140781902078209179691817444 absolute error = 4e-31 relative error = 1.1163390565627275762399211235213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.993 y[1] (analytic) = 3.5832283890151252890834147669267 y[1] (numeric) = 3.5832283890151252890834147669263 absolute error = 4e-31 relative error = 1.1163117629516848142715860215917e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.994 y[1] (analytic) = 3.5833164058997492062287381478896 y[1] (numeric) = 3.5833164058997492062287381478892 absolute error = 4e-31 relative error = 1.1162843430220681414931667849947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.995 y[1] (analytic) = 3.5834048334679329999931544002892 y[1] (numeric) = 3.5834048334679329999931544002888 absolute error = 4e-31 relative error = 1.1162567965085028416734928779928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.996 y[1] (analytic) = 3.5834936726312490262285029738377 y[1] (numeric) = 3.5834936726312490262285029738373 absolute error = 4e-31 relative error = 1.1162291231458832761589610676148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.997 y[1] (analytic) = 3.5835829243008580456886904405244 y[1] (numeric) = 3.5835829243008580456886904405239 absolute error = 5e-31 relative error = 1.3952516533367171816374022509534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.998 y[1] (analytic) = 3.5836725893875083128690056707697 y[1] (numeric) = 3.5836725893875083128690056707692 absolute error = 5e-31 relative error = 1.3952167435180116878787631587300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.999 y[1] (analytic) = 3.5837626688015346652579412338221 y[1] (numeric) = 3.5837626688015346652579412338216 absolute error = 5e-31 relative error = 1.3951816741458710691160855602304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 3.5838531634528576130024317704992 y[1] (numeric) = 3.5838531634528576130024317704987 absolute error = 5e-31 relative error = 1.3951464448902694374083550754230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.001 y[1] (analytic) = 3.5839440742509824289874196729599 y[1] (numeric) = 3.5839440742509824289874196729594 absolute error = 5e-31 relative error = 1.3951110554215226402562172297459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.002 y[1] (analytic) = 3.5840354021049982393306579918652 y[1] (numeric) = 3.5840354021049982393306579918648 absolute error = 4e-31 relative error = 1.1160604043282314716820069584217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.003 y[1] (analytic) = 3.5841271479235771142936600760504 y[1] (numeric) = 3.58412714792357711429366007605 absolute error = 4e-31 relative error = 1.1160318356220576729992675078238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.004 y[1] (analytic) = 3.5842193126149731596097050336811 y[1] (numeric) = 3.5842193126149731596097050336807 absolute error = 4e-31 relative error = 1.1160031379557747397453316537431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.005 y[1] (analytic) = 3.5843118970870216082298076868143 y[1] (numeric) = 3.5843118970870216082298076868138 absolute error = 5e-31 relative error = 1.3949678888334219232944102342942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.006 y[1] (analytic) = 3.5844049022471379124875612733165 y[1] (numeric) = 3.584404902247137912487561273316 absolute error = 5e-31 relative error = 1.3949316933657233050059187251452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=255.5MB, alloc=4.4MB, time=12.26 TOP MAIN SOLVE Loop x[1] = 2.007 y[1] (analytic) = 3.584498329002316836683760731223 y[1] (numeric) = 3.5844983290023168366837607312225 absolute error = 5e-31 relative error = 1.3948953357140115032583157992365e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.008 y[1] (analytic) = 3.584592178259131550091713980837 y[1] (numeric) = 3.5845921782591315500917139808365 absolute error = 5e-31 relative error = 1.3948588155510247483911043668470e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.009 y[1] (analytic) = 3.5846864509237327203841481991833 y[1] (numeric) = 3.5846864509237327203841481991828 absolute error = 5e-31 relative error = 1.3948221325498516493814142628626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = 3.5847811479018476074826176598346 y[1] (numeric) = 3.584781147901847607482617659834 absolute error = 6e-31 relative error = 1.6737423436607187311307380013305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.011 y[1] (analytic) = 3.5848762700987791578303192886257 y[1] (numeric) = 3.5848762700987791578303192886252 absolute error = 5e-31 relative error = 1.3947482767270592409705710630130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.012 y[1] (analytic) = 3.5849718184194050990892216623671 y[1] (numeric) = 3.5849718184194050990892216623666 absolute error = 5e-31 relative error = 1.3947111032533787833361369554109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.013 y[1] (analytic) = 3.5850677937681770352624127533505 y[1] (numeric) = 3.58506779376817703526241275335 absolute error = 5e-31 relative error = 1.3946737656373918510038070177983e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.014 y[1] (analytic) = 3.5851641970491195422425712972258 y[1] (numeric) = 3.5851641970491195422425712972252 absolute error = 6e-31 relative error = 1.6735635162647462213757033236739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.015 y[1] (analytic) = 3.5852610291658292637874662357007 y[1] (numeric) = 3.5852610291658292637874662357001 absolute error = 6e-31 relative error = 1.6735183160139388806885581576997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.016 y[1] (analytic) = 3.5853582910214740079233882584902 y[1] (numeric) = 3.5853582910214740079233882584896 absolute error = 6e-31 relative error = 1.6734729176231340917630441504227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.017 y[1] (analytic) = 3.5854559835187918437774170410067 y[1] (numeric) = 3.5854559835187918437774170410062 absolute error = 5e-31 relative error = 1.3945227672528738340914380075465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.018 y[1] (analytic) = 3.5855541075600901988394273454509 y[1] (numeric) = 3.5855541075600901988394273454504 absolute error = 5e-31 relative error = 1.3944846040553594247674571843706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.019 y[1] (analytic) = 3.5856526640472449566547367232197 y[1] (numeric) = 3.5856526640472449566547367232192 absolute error = 5e-31 relative error = 1.3944462747700538141669624118348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = 3.5857516538816995549482971259098 y[1] (numeric) = 3.5857516538816995549482971259093 absolute error = 5e-31 relative error = 1.3944077790739712675171249823249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.021 y[1] (analytic) = 3.5858510779644640841813323006501 y[1] (numeric) = 3.5858510779644640841813323006496 absolute error = 5e-31 relative error = 1.3943691166444894350822308796817e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.022 y[1] (analytic) = 3.5859509371961143865413224130491 y[1] (numeric) = 3.5859509371961143865413224130486 absolute error = 5e-31 relative error = 1.3943302871593504378996912274486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.023 y[1] (analytic) = 3.5860512324767911553662369076997 y[1] (numeric) = 3.5860512324767911553662369076992 absolute error = 5e-31 relative error = 1.3942912902966619537638477675350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.024 y[1] (analytic) = 3.586151964706199035003916181931 y[1] (numeric) = 3.5861519647061990350039161819306 absolute error = 4e-31 relative error = 1.1154017005879186427591903369322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.025 y[1] (analytic) = 3.5862531347836057211075022133532 y[1] (numeric) = 3.5862531347836057211075022133528 absolute error = 4e-31 relative error = 1.1153702345223212297303753609669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.026 y[1] (analytic) = 3.5863547436078410613678178456872 y[1] (numeric) = 3.5863547436078410613678178456867 absolute error = 5e-31 relative error = 1.3941732922298825212228380318740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.027 y[1] (analytic) = 3.5864567920772961566835940004265 y[1] (numeric) = 3.5864567920772961566835940004261 absolute error = 4e-31 relative error = 1.1153068981163376199550507109504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.028 y[1] (analytic) = 3.5865592810899224627704436440295 y[1] (numeric) = 3.5865592810899224627704436440291 absolute error = 4e-31 relative error = 1.1152750272635774461863928792569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.029 y[1] (analytic) = 3.5866622115432308922094809015914 y[1] (numeric) = 3.586662211543230892209480901591 absolute error = 4e-31 relative error = 1.1152430209698845651032881136393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = 3.5867655843342909169364832683039 y[1] (numeric) = 3.5867655843342909169364832683035 absolute error = 4e-31 relative error = 1.1152108789798165780237662840877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.031 y[1] (analytic) = 3.5868694003597296711724944294644 y[1] (numeric) = 3.586869400359729671172494429464 absolute error = 4e-31 relative error = 1.1151786010382304882775812778388e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.032 y[1] (analytic) = 3.5869736605157310547967647583578 y[1] (numeric) = 3.5869736605157310547967647583574 absolute error = 4e-31 relative error = 1.1151461868902835714668961046113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.033 y[1] (analytic) = 3.5870783656980348371629261189952 y[1] (numeric) = 3.5870783656980348371629261189949 absolute error = 3e-31 relative error = 8.3633522721107568439199626108595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.034 y[1] (analytic) = 3.5871835168019357613592971574606 y[1] (numeric) = 3.5871835168019357613592971574603 absolute error = 3e-31 relative error = 8.3631071171808220716227891650041e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=259.4MB, alloc=4.4MB, time=12.44 TOP MAIN SOLVE Loop x[1] = 2.035 y[1] (analytic) = 3.5872891147222826489142148214845 y[1] (numeric) = 3.5872891147222826489142148214842 absolute error = 3e-31 relative error = 8.3628609349827973334014967522934e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.036 y[1] (analytic) = 3.5873951603534775049472874028402 y[1] (numeric) = 3.5873951603534775049472874028399 absolute error = 3e-31 relative error = 8.3626137236144356525638019737877e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.037 y[1] (analytic) = 3.5875016545894746237674639512328 y[1] (numeric) = 3.5875016545894746237674639512325 absolute error = 3e-31 relative error = 8.3623654811757747427028454641031e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.038 y[1] (analytic) = 3.5876085983237796949188144615396 y[1] (numeric) = 3.5876085983237796949188144615392 absolute error = 4e-31 relative error = 1.1149488274358858052894874299829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.039 y[1] (analytic) = 3.5877159924494489096749147885443 y[1] (numeric) = 3.5877159924494489096749147885439 absolute error = 4e-31 relative error = 1.1149154527332224978942366498337e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 3.5878238378590880679827297947086 y[1] (numeric) = 3.5878238378590880679827297947082 absolute error = 4e-31 relative error = 1.1148819397963708406878221264903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.041 y[1] (analytic) = 3.5879321354448516858568877870212 y[1] (numeric) = 3.5879321354448516858568877870208 absolute error = 4e-31 relative error = 1.1148482883732297404344586240027e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.042 y[1] (analytic) = 3.5880408860984421032252388485767 y[1] (numeric) = 3.5880408860984421032252388485763 absolute error = 4e-31 relative error = 1.1148144982120070847180476495762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.043 y[1] (analytic) = 3.5881500907111085922265892192514 y[1] (numeric) = 3.588150090711108592226589219251 absolute error = 4e-31 relative error = 1.1147805690612206132361980959219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.044 y[1] (analytic) = 3.5882597501736464659615034276672 y[1] (numeric) = 3.5882597501736464659615034276668 absolute error = 4e-31 relative error = 1.1147465006696987891458398716191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.045 y[1] (analytic) = 3.5883698653763961876970654235676 y[1] (numeric) = 3.5883698653763961876970654235672 absolute error = 4e-31 relative error = 1.1147122927865816704533259304779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.046 y[1] (analytic) = 3.5884804372092424805264895057695 y[1] (numeric) = 3.5884804372092424805264895057691 absolute error = 4e-31 relative error = 1.1146779451613217814419075206827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.047 y[1] (analytic) = 3.588591466561613437484471386007 y[1] (numeric) = 3.5885914665616134374844713860066 absolute error = 4e-31 relative error = 1.1146434575436849841294569465595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.048 y[1] (analytic) = 3.5887029543224796321191692732408 y[1] (numeric) = 3.5887029543224796321191692732404 absolute error = 4e-31 relative error = 1.1146088296837513497493016704475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.049 y[1] (analytic) = 3.5888149013803532295217044063788 y[1] (numeric) = 3.5888149013803532295217044063784 absolute error = 4e-31 relative error = 1.1145740613319160302470231796740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 3.5889273086232870978140700058326 y[1] (numeric) = 3.5889273086232870978140700058322 absolute error = 4e-31 relative error = 1.1145391522388901297860637043418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.051 y[1] (analytic) = 3.5890401769388739200963371559277 y[1] (numeric) = 3.5890401769388739200963371559273 absolute error = 4e-31 relative error = 1.1145041021557015762549735958375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.052 y[1] (analytic) = 3.5891535072142453068540456708869 y[1] (numeric) = 3.5891535072142453068540456708864 absolute error = 5e-31 relative error = 1.3930861385421199909614024549587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.053 y[1] (analytic) = 3.5892673003360709088266675369218 y[1] (numeric) = 3.5892673003360709088266675369213 absolute error = 5e-31 relative error = 1.3930419725306719614496037784104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.054 y[1] (analytic) = 3.5893815571905575303380300618965 y[1] (numeric) = 3.589381557190557530338030061896 absolute error = 5e-31 relative error = 1.3929976293502624168033756390450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.055 y[1] (analytic) = 3.5894962786634482430895854020646 y[1] (numeric) = 3.5894962786634482430895854020641 absolute error = 5e-31 relative error = 1.3929531086912712790762781719093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.056 y[1] (analytic) = 3.5896114656400215004174126725371 y[1] (numeric) = 3.5896114656400215004174126725365 absolute error = 6e-31 relative error = 1.6714900922933759359378338588167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.057 y[1] (analytic) = 3.5897271190050902520138383844053 y[1] (numeric) = 3.5897271190050902520138383844047 absolute error = 6e-31 relative error = 1.6714362404412868599194186496811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.058 y[1] (analytic) = 3.5898432396430010591145604868246 y[1] (numeric) = 3.589843239643001059114560486824 absolute error = 6e-31 relative error = 1.6713821745031634490291649049478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.059 y[1] (analytic) = 3.5899598284376332101521608268606 y[1] (numeric) = 3.58995982843763321015216082686 absolute error = 6e-31 relative error = 1.6713278941093965379280712295538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 3.5900768862723978368768903735121 y[1] (numeric) = 3.5900768862723978368768903735115 absolute error = 6e-31 relative error = 1.6712733988908639605419972339789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.061 y[1] (analytic) = 3.5901944140302370309456110850522 y[1] (numeric) = 3.5901944140302370309456110850516 absolute error = 6e-31 relative error = 1.6712186884789318567525293257579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.062 y[1] (analytic) = 3.5903124125936229609797778306716 y[1] (numeric) = 3.5903124125936229609797778306709 absolute error = 7e-31 relative error = 1.9496910562563653087995691203294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.4MB, time=12.62 x[1] = 2.063 y[1] (analytic) = 3.5904308828445569900933433083681 y[1] (numeric) = 3.5904308828445569900933433083674 absolute error = 7e-31 relative error = 1.9496267240365801650160050615997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.064 y[1] (analytic) = 3.5905498256645687938914684311058 y[1] (numeric) = 3.5905498256645687938914684311051 absolute error = 7e-31 relative error = 1.9495621394710437809772651391095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.065 y[1] (analytic) = 3.5906692419347154789409201824576 y[1] (numeric) = 3.5906692419347154789409201824569 absolute error = 7e-31 relative error = 1.9494973021319773228156486275469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.066 y[1] (analytic) = 3.5907891325355807017130384712612 y[1] (numeric) = 3.5907891325355807017130384712606 absolute error = 6e-31 relative error = 1.6709418956504393717224336790975e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.067 y[1] (analytic) = 3.5909094983472737880001530422488 y[1] (numeric) = 3.5909094983472737880001530422481 absolute error = 7e-31 relative error = 1.9493668674250269238468339584605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.068 y[1] (analytic) = 3.5910303402494288528063310261577 y[1] (numeric) = 3.591030340249428852806331026157 absolute error = 7e-31 relative error = 1.9493012692044779606758772236720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.069 y[1] (analytic) = 3.5911516591212039207133352385045 y[1] (numeric) = 3.5911516591212039207133352385038 absolute error = 7e-31 relative error = 1.9492354165050719249298889807991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 3.5912734558412800467226728609883 y[1] (numeric) = 3.5912734558412800467226728609875 absolute error = 8e-31 relative error = 2.2276220673164934479007874055091e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.071 y[1] (analytic) = 3.5913957312878604375746136634019 y[1] (numeric) = 3.5913957312878604375746136634012 absolute error = 7e-31 relative error = 1.9491029459707653623356403408951e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.072 y[1] (analytic) = 3.591518486338669573545056446961 y[1] (numeric) = 3.5915184863386695735450564469603 absolute error = 7e-31 relative error = 1.9490363272878670345826517368419e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.073 y[1] (analytic) = 3.591641721870952330721121912109 y[1] (numeric) = 3.5916417218709523307211219121082 absolute error = 8e-31 relative error = 2.2273936599201360876660524474036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.074 y[1] (analytic) = 3.5917654387614731037563496751334 y[1] (numeric) = 3.5917654387614731037563496751327 absolute error = 7e-31 relative error = 1.9489023209749932731351200917607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.075 y[1] (analytic) = 3.5918896378865149291063766783242 y[1] (numeric) = 3.5918896378865149291063766783234 absolute error = 8e-31 relative error = 2.2272399228577741954950962896631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.076 y[1] (analytic) = 3.5920143201218786087459737579198 y[1] (numeric) = 3.592014320121878608745973757919 absolute error = 8e-31 relative error = 2.2271626132405164017406251954077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.077 y[1] (analytic) = 3.5921394863428818343683166527347 y[1] (numeric) = 3.5921394863428818343683166527339 absolute error = 8e-31 relative error = 2.2270850089245039430648064830239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.078 y[1] (analytic) = 3.5922651374243583120673672541219 y[1] (numeric) = 3.5922651374243583120673672541211 absolute error = 8e-31 relative error = 2.2270071094295596316615772779281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.079 y[1] (analytic) = 3.5923912742406568875042404148176 y[1] (numeric) = 3.5923912742406568875042404148168 absolute error = 8e-31 relative error = 2.2269289142761886740951634479345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 3.5925178976656406715584311502276 y[1] (numeric) = 3.5925178976656406715584311502268 absolute error = 8e-31 relative error = 2.2268504229855804080866077285249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.081 y[1] (analytic) = 3.5926450085726861664647765808559 y[1] (numeric) = 3.592645008572686166464776580855 absolute error = 9e-31 relative error = 2.5051180894645612937227265231556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.082 y[1] (analytic) = 3.59277260783468239243702647884 y[1] (numeric) = 3.5927726078346823924370264788392 absolute error = 8e-31 relative error = 2.2266925500808403750660250894494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.083 y[1] (analytic) = 3.592900696324030014778895794951 y[1] (numeric) = 3.5929006963240300147788957949502 absolute error = 8e-31 relative error = 2.2266131675125235641703449438082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.084 y[1] (analytic) = 3.5930292749126404714834720549312 y[1] (numeric) = 3.5930292749126404714834720549303 absolute error = 9e-31 relative error = 2.5048501727609281808862907901483e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.085 y[1] (analytic) = 3.5931583444719351013218500256906 y[1] (numeric) = 3.5931583444719351013218500256897 absolute error = 9e-31 relative error = 2.5047601962341784687580932367582e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.086 y[1] (analytic) = 3.5932879058728442724218655626548 y[1] (numeric) = 3.593287905872844272421865562654 absolute error = 8e-31 relative error = 2.2263732296331882369000712708338e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.087 y[1] (analytic) = 3.5934179599858065113378000594578 y[1] (numeric) = 3.5934179599858065113378000594569 absolute error = 9e-31 relative error = 2.5045792335371832774372818651838e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.088 y[1] (analytic) = 3.593548507680767632611926430201 y[1] (numeric) = 3.5935485076807676326119264302001 absolute error = 9e-31 relative error = 2.5044882463012834643951781072600e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.089 y[1] (analytic) = 3.5936795498271798688287670626635 y[1] (numeric) = 3.5936795498271798688287670626626 absolute error = 9e-31 relative error = 2.5043969210979899986933967266133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = 3.5938110872940010011629336881296 y[1] (numeric) = 3.5938110872940010011629336881286 absolute error = 1.0e-30 relative error = 2.7825613971071607870113856191888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.4MB, time=12.81 x[1] = 2.091 y[1] (analytic) = 3.5939431209496934904214186199227 y[1] (numeric) = 3.5939431209496934904214186199217 absolute error = 1.0e-30 relative error = 2.7824591718517561394040693234865e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.092 y[1] (analytic) = 3.594075651662223608581206318283 y[1] (numeric) = 3.594075651662223608581206318282 absolute error = 1.0e-30 relative error = 2.7823565693101371483378983802179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.093 y[1] (analytic) = 3.5942086802990605708230737439028 y[1] (numeric) = 3.5942086802990605708230737439018 absolute error = 1.0e-30 relative error = 2.7822535888951049034611102156323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.094 y[1] (analytic) = 3.5943422077271756680624474662486 y[1] (numeric) = 3.5943422077271756680624474662476 absolute error = 1.0e-30 relative error = 2.7821502300203459864484914975502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.095 y[1] (analytic) = 3.5944762348130413999781849957398 y[1] (numeric) = 3.5944762348130413999781849957387 absolute error = 1.1e-30 relative error = 3.0602511413104780950358873472044e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.096 y[1] (analytic) = 3.5946107624226306085401473109299 y[1] (numeric) = 3.5946107624226306085401473109289 absolute error = 1.0e-30 relative error = 2.7819423745508348871181502994605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.097 y[1] (analytic) = 3.5947457914214156120364290530474 y[1] (numeric) = 3.5947457914214156120364290530464 absolute error = 1.0e-30 relative error = 2.7818378767879027717783078251754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.098 y[1] (analytic) = 3.5948813226743673396011123605914 y[1] (numeric) = 3.5948813226743673396011123605903 absolute error = 1.1e-30 relative error = 3.0599062980517772793263116723022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.099 y[1] (analytic) = 3.5950173570459544662434098161578 y[1] (numeric) = 3.5950173570459544662434098161567 absolute error = 1.1e-30 relative error = 3.0597905121211321484584486802425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = 3.5951538954001425483790614762808 y[1] (numeric) = 3.5951538954001425483790614762798 absolute error = 1.0e-30 relative error = 2.7815220963960972969629707988258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.101 y[1] (analytic) = 3.5952909386003931598648504528203 y[1] (numeric) = 3.5952909386003931598648504528193 absolute error = 1.0e-30 relative error = 2.7814160719613108583582084223115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.102 y[1] (analytic) = 3.595428487509663028537101011307 y[1] (numeric) = 3.595428487509663028537101011306 absolute error = 1.0e-30 relative error = 2.7813096644084272376568320024624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.103 y[1] (analytic) = 3.5955665429904031732550226476769 y[1] (numeric) = 3.5955665429904031732550226476759 absolute error = 1.0e-30 relative error = 2.7812028731591995798911687841309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.104 y[1] (analytic) = 3.5957051059045580414497630999773 y[1] (numeric) = 3.5957051059045580414497630999763 absolute error = 1.0e-30 relative error = 2.7810956976362880911675198935535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.105 y[1] (analytic) = 3.5958441771135646471800327459208 y[1] (numeric) = 3.5958441771135646471800327459199 absolute error = 9e-31 relative error = 2.5028893235369359713614356202117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.106 y[1] (analytic) = 3.5959837574783517096951623305906 y[1] (numeric) = 3.5959837574783517096951623305896 absolute error = 1.0e-30 relative error = 2.7808801914646026600379599405329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.107 y[1] (analytic) = 3.5961238478593387925064554611666 y[1] (numeric) = 3.5961238478593387925064554611656 absolute error = 1.0e-30 relative error = 2.7807718596657037957344141161770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.108 y[1] (analytic) = 3.5962644491164354429676967972505 y[1] (numeric) = 3.5962644491164354429676967972495 absolute error = 1.0e-30 relative error = 2.7806631412928755549922065164685e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.109 y[1] (analytic) = 3.5964055621090403323656763562072 y[1] (numeric) = 3.5964055621090403323656763562061 absolute error = 1.1e-30 relative error = 3.0586094393506802751842721133922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = 3.5965471876960403965215898429283 y[1] (numeric) = 3.5965471876960403965215898429272 absolute error = 1.1e-30 relative error = 3.0584889967887881644296114061348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.111 y[1] (analytic) = 3.5966893267358099769041744025458 y[1] (numeric) = 3.5966893267358099769041744025447 absolute error = 1.1e-30 relative error = 3.0583681271084635846103818549041e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.112 y[1] (analytic) = 3.5968319800862099622554386828872 y[1] (numeric) = 3.5968319800862099622554386828861 absolute error = 1.1e-30 relative error = 3.0582468296827000120937646405662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.113 y[1] (analytic) = 3.5969751486045869307298455808721 y[1] (numeric) = 3.596975148604586930729845580871 absolute error = 1.1e-30 relative error = 3.0581251038855099506108595929201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.114 y[1] (analytic) = 3.597118833147772292547805533595 y[1] (numeric) = 3.5971188331477722925478055335939 absolute error = 1.1e-30 relative error = 3.0580029490919272873504025405625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.115 y[1] (analytic) = 3.5972630345720814331643377005301 y[1] (numeric) = 3.5972630345720814331643377005291 absolute error = 1.0e-30 relative error = 2.7798912406163724070412797442133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.116 y[1] (analytic) = 3.5974077537333128569537558681253 y[1] (numeric) = 3.5974077537333128569537558681243 absolute error = 1.0e-30 relative error = 2.7797794091098552263014563872604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.117 y[1] (analytic) = 3.5975529914867473314112353920277 y[1] (numeric) = 3.5975529914867473314112353920267 absolute error = 1.0e-30 relative error = 2.7796671859077570471422754145621e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.118 y[1] (analytic) = 3.5976987486871470318721169753036 y[1] (numeric) = 3.5976987486871470318721169753025 absolute error = 1.1e-30 relative error = 3.0575100274902286120179772846855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=12.99 x[1] = 2.119 y[1] (analytic) = 3.5978450261887546867498025632762 y[1] (numeric) = 3.5978450261887546867498025632752 absolute error = 1.0e-30 relative error = 2.7794415621600949352828209869027e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = 3.5979918248452927232930981170161 y[1] (numeric) = 3.5979918248452927232930981170151 absolute error = 1.0e-30 relative error = 2.7793281604885198122383121422192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.121 y[1] (analytic) = 3.5981391455099624138638575080677 y[1] (numeric) = 3.5981391455099624138638575080667 absolute error = 1.0e-30 relative error = 2.7792143648693455777531140763641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.122 y[1] (analytic) = 3.5982869890354430227357812566994 y[1] (numeric) = 3.5982869890354430227357812566984 absolute error = 1.0e-30 relative error = 2.7791001747419264254026426790709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.123 y[1] (analytic) = 3.5984353562738909534152233148063 y[1] (numeric) = 3.5984353562738909534152233148053 absolute error = 1.0e-30 relative error = 2.7789855895465643005292673256965e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.124 y[1] (analytic) = 3.598584248076938896484858572587 y[1] (numeric) = 3.598584248076938896484858572586 absolute error = 1.0e-30 relative error = 2.7788706087245110293970610734770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.125 y[1] (analytic) = 3.5987336652956949779710632452575 y[1] (numeric) = 3.5987336652956949779710632452565 absolute error = 1.0e-30 relative error = 2.7787552317179704469655933777221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.126 y[1] (analytic) = 3.5988836087807419082358597723499 y[1] (numeric) = 3.5988836087807419082358597723489 absolute error = 1.0e-30 relative error = 2.7786394579701005232634265955167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.127 y[1] (analytic) = 3.5990340793821361313942773375799 y[1] (numeric) = 3.5990340793821361313942773375789 absolute error = 1.0e-30 relative error = 2.7785232869250154883419660251006e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.128 y[1] (analytic) = 3.5991850779494069752579785918524 y[1] (numeric) = 3.5991850779494069752579785918514 absolute error = 1.0e-30 relative error = 2.7784067180277879557903019217930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.129 y[1] (analytic) = 3.599336605331555801806002635707 y[1] (numeric) = 3.599336605331555801806002635706 absolute error = 1.0e-30 relative error = 2.7782897507244510447916708367200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = 3.5994886623770551581834737903903 y[1] (numeric) = 3.5994886623770551581834737903893 absolute error = 1.0e-30 relative error = 2.7781723844620005007021527432934e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.131 y[1] (analytic) = 3.5996412499338479282291251587745 y[1] (numeric) = 3.5996412499338479282291251587735 absolute error = 1.0e-30 relative error = 2.7780546186883968141322097489637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.132 y[1] (analytic) = 3.5997943688493464845324854485291 y[1] (numeric) = 3.5997943688493464845324854485282 absolute error = 9e-31 relative error = 2.5001428075673106046604955631514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.133 y[1] (analytic) = 3.5999480199704318410215770002877 y[1] (numeric) = 3.5999480199704318410215770002868 absolute error = 9e-31 relative error = 2.5000360977639675655068156394789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.134 y[1] (analytic) = 3.6001022041434528060819724330409 y[1] (numeric) = 3.6001022041434528060819724330399 absolute error = 1.0e-30 relative error = 2.7776989187947874425534022601775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.135 y[1] (analytic) = 3.6002569222142251362080567876285 y[1] (numeric) = 3.6002569222142251362080567876275 absolute error = 1.0e-30 relative error = 2.7775795494755450796366494280416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.136 y[1] (analytic) = 3.6004121750280306901873415169991 y[1] (numeric) = 3.6004121750280306901873415169981 absolute error = 1.0e-30 relative error = 2.7774597778994972667144413299750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.137 y[1] (analytic) = 3.6005679634296165838186761388508 y[1] (numeric) = 3.6005679634296165838186761388498 absolute error = 1.0e-30 relative error = 2.7773396035204373803487161836699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.138 y[1] (analytic) = 3.6007242882631943451652028323722 y[1] (numeric) = 3.6007242882631943451652028323712 absolute error = 1.0e-30 relative error = 2.7772190257931383323748759077266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.139 y[1] (analytic) = 3.6008811503724390703428987260587 y[1] (numeric) = 3.6008811503724390703428987260578 absolute error = 9e-31 relative error = 2.4993882397560192086759914682772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (analytic) = 3.6010385506004885798455500879914 y[1] (numeric) = 3.6010385506004885798455500879905 absolute error = 9e-31 relative error = 2.4992789923060422408619666650920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.141 y[1] (analytic) = 3.6011964897899425754070020935328 y[1] (numeric) = 3.6011964897899425754070020935319 absolute error = 9e-31 relative error = 2.4991693803758453301345488183402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.142 y[1] (analytic) = 3.6013549687828617974015273081216 y[1] (numeric) = 3.6013549687828617974015273081207 absolute error = 9e-31 relative error = 2.4990594034782693666368445017081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.143 y[1] (analytic) = 3.6015139884207671827831554847261 y[1] (numeric) = 3.6015139884207671827831554847252 absolute error = 9e-31 relative error = 2.4989490611270462858552033276302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.144 y[1] (analytic) = 3.6016735495446390235648067365568 y[1] (numeric) = 3.6016735495446390235648067365559 absolute error = 9e-31 relative error = 2.4988383528368009566834494675236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.145 y[1] (analytic) = 3.6018336529949161258380696058349 y[1] (numeric) = 3.601833652994916125838069605834 absolute error = 9e-31 relative error = 2.4987272781230530678944046312819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.146 y[1] (analytic) = 3.6019942996114949693344650087686 y[1] (numeric) = 3.6019942996114949693344650087677 absolute error = 9e-31 relative error = 2.4986158365022190130011271704538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.147 y[1] (analytic) = 3.6021554902337288675290364954032 y[1] (numeric) = 3.6021554902337288675290364954024 memory used=274.6MB, alloc=4.4MB, time=13.17 absolute error = 8e-31 relative error = 2.2208924688814344653246982396866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.148 y[1] (analytic) = 3.6023172257004271282871067206849 y[1] (numeric) = 3.6023172257004271282871067206841 absolute error = 8e-31 relative error = 2.2207927560972913781422915040207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.149 y[1] (analytic) = 3.6024795068498542150550394799109 y[1] (numeric) = 3.6024795068498542150550394799102 absolute error = 7e-31 relative error = 1.9431061264026641400073034982524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = 3.602642334519728908595846117736 y[1] (numeric) = 3.6026423345197289085958461177352 absolute error = 8e-31 relative error = 2.2205923478291902963649700528994e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.151 y[1] (analytic) = 3.6028057095472234692704745750565 y[1] (numeric) = 3.6028057095472234692704745750557 absolute error = 8e-31 relative error = 2.2204916514927435558207658283697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.152 y[1] (analytic) = 3.6029696327689627998656187924155 y[1] (numeric) = 3.6029696327689627998656187924148 absolute error = 7e-31 relative error = 1.9428417981475861995831772610699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.153 y[1] (analytic) = 3.6031341050210236089688856420487 y[1] (numeric) = 3.6031341050210236089688856420479 absolute error = 8e-31 relative error = 2.2202892722898865032783912345317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.154 y[1] (analytic) = 3.6032991271389335748921560133335 y[1] (numeric) = 3.6032991271389335748921560133327 absolute error = 8e-31 relative error = 2.2201875885758349923936148325762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.155 y[1] (analytic) = 3.603464699957670510143976128213 y[1] (numeric) = 3.6034646999576705101439761282122 absolute error = 8e-31 relative error = 2.2200855748896263892419413366178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.156 y[1] (analytic) = 3.6036308243116615264518146141317 y[1] (numeric) = 3.6036308243116615264518146141309 absolute error = 8e-31 relative error = 2.2199832308094711306611049082752e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.157 y[1] (analytic) = 3.6037975010347822003350203121569 y[1] (numeric) = 3.6037975010347822003350203121561 absolute error = 8e-31 relative error = 2.2198805559143950551799800616817e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.158 y[1] (analytic) = 3.6039647309603557392293152472593 y[1] (numeric) = 3.6039647309603557392293152472585 absolute error = 8e-31 relative error = 2.2197775497842410600539692430698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.159 y[1] (analytic) = 3.604132514921152148163656636189 y[1] (numeric) = 3.6041325149211521481636566361882 absolute error = 8e-31 relative error = 2.2196742119996707566654780030747e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (analytic) = 3.6043008537493873969903012560166 y[1] (numeric) = 3.6043008537493873969903012560158 absolute error = 8e-31 relative error = 2.2195705421421661242737914061222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.161 y[1] (analytic) = 3.6044697482767225881689049432047 y[1] (numeric) = 3.6044697482767225881689049432039 absolute error = 8e-31 relative error = 2.2194665397940311620986621303231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.162 y[1] (analytic) = 3.6046391993342631251054894390418 y[1] (numeric) = 3.604639199334263125105489439041 absolute error = 8e-31 relative error = 2.2193622045383935397219177050140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.163 y[1] (analytic) = 3.6048092077525578810471082424019 y[1] (numeric) = 3.6048092077525578810471082424011 absolute error = 8e-31 relative error = 2.2192575359592062457913915118529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.164 y[1] (analytic) = 3.6049797743615983685330425750946 y[1] (numeric) = 3.6049797743615983685330425750938 absolute error = 8e-31 relative error = 2.2191525336412492350114795396016e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.165 y[1] (analytic) = 3.6051508999908179094033580085412 y[1] (numeric) = 3.6051508999908179094033580085404 absolute error = 8e-31 relative error = 2.2190471971701310734046224327776e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.166 y[1] (analytic) = 3.60532258546909080536565174315 y[1] (numeric) = 3.6053225854690908053656517431492 absolute error = 8e-31 relative error = 2.2189415261322905818280101106398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.167 y[1] (analytic) = 3.6054948316247315091208199735756 y[1] (numeric) = 3.6054948316247315091208199735748 absolute error = 8e-31 relative error = 2.2188355201149984777298041558519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.168 y[1] (analytic) = 3.6056676392854937960486742140247 y[1] (numeric) = 3.6056676392854937960486742140238 absolute error = 9e-31 relative error = 2.4960703260446538920203176922903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.169 y[1] (analytic) = 3.6058410092785699364542348979232 y[1] (numeric) = 3.6058410092785699364542348979224 absolute error = 8e-31 relative error = 2.2186225014953116228044194866603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = 3.6060149424305898683755300055835 y[1] (numeric) = 3.6060149424305898683755300055826 absolute error = 9e-31 relative error = 2.4958299240805866082577178532563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.171 y[1] (analytic) = 3.6061894395676203709537259120014 y[1] (numeric) = 3.6061894395676203709537259120005 absolute error = 9e-31 relative error = 2.4957091552791785111452717417818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.172 y[1] (analytic) = 3.6063645015151642383664170845863 y[1] (numeric) = 3.6063645015151642383664170845854 absolute error = 9e-31 relative error = 2.4955880073183878938512927080594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.173 y[1] (analytic) = 3.606540129098159454324900697464 y[1] (numeric) = 3.6065401290981594543249006974631 absolute error = 9e-31 relative error = 2.4954664797395482888477476519421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.174 y[1] (analytic) = 3.6067163231409783671362616650088 y[1] (numeric) = 3.6067163231409783671362616650079 absolute error = 9e-31 relative error = 2.4953445720849419841620106499349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.175 y[1] (analytic) = 3.6068930844674268653310930324524 y[1] (numeric) = 3.6068930844674268653310930324514 absolute error = 1.0e-30 relative error = 2.7724692043308909487466864944998e-29 % Correct digits = 30 h = 0.001 memory used=278.4MB, alloc=4.4MB, time=13.35 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.176 y[1] (analytic) = 3.6070704139007435538576760957788 y[1] (numeric) = 3.6070704139007435538576760957779 absolute error = 9e-31 relative error = 2.4950996147223131864617984145555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.177 y[1] (analytic) = 3.6072483122635989308434440566585 y[1] (numeric) = 3.6072483122635989308434440566576 absolute error = 9e-31 relative error = 2.4949765641036155110197019859797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.178 y[1] (analytic) = 3.6074267803780945649245524508872 y[1] (numeric) = 3.6074267803780945649245524508863 absolute error = 9e-31 relative error = 2.4948531315878044212616428717128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.179 y[1] (analytic) = 3.6076058190657622731443790206922 y[1] (numeric) = 3.6076058190657622731443790206913 absolute error = 9e-31 relative error = 2.4947293167219333973616817073868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = 3.6077854291475632994217751323375 y[1] (numeric) = 3.6077854291475632994217751323366 absolute error = 9e-31 relative error = 2.4946051190540156255722655092729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.181 y[1] (analytic) = 3.6079656114438874935898902707066 y[1] (numeric) = 3.6079656114438874935898902707057 absolute error = 9e-31 relative error = 2.4944805381330258156164478116169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.182 y[1] (analytic) = 3.6081463667745524910063905719718 y[1] (numeric) = 3.608146366774552491006390571971 absolute error = 8e-31 relative error = 2.2172049542301351251861434724525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.183 y[1] (analytic) = 3.6083276959588028927358917840624 y[1] (numeric) = 3.6083276959588028927358917840616 absolute error = 8e-31 relative error = 2.2170935330955977120592153661659e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.184 y[1] (analytic) = 3.6085095998153094463054264724294 y[1] (numeric) = 3.6085095998153094463054264724286 absolute error = 8e-31 relative error = 2.2169817700940730740052486119683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.185 y[1] (analytic) = 3.6086920791621682270337647155735 y[1] (numeric) = 3.6086920791621682270337647155727 absolute error = 8e-31 relative error = 2.2168696648280847064452165661357e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.186 y[1] (analytic) = 3.6088751348168998199354069609456 y[1] (numeric) = 3.6088751348168998199354069609448 absolute error = 8e-31 relative error = 2.2167572169010188393714161233117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.187 y[1] (analytic) = 3.6090587675964485022000671371593 y[1] (numeric) = 3.6090587675964485022000671371585 absolute error = 8e-31 relative error = 2.2166444259171260405945067539957e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.188 y[1] (analytic) = 3.6092429783171814262484635429645 y[1] (numeric) = 3.6092429783171814262484635429638 absolute error = 7e-31 relative error = 1.9394648800463324647876059418899e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.189 y[1] (analytic) = 3.6094277677948878033652344571233 y[1] (numeric) = 3.6094277677948878033652344571226 absolute error = 7e-31 relative error = 1.9393655865501690614619263631017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = 3.609613136844778087909794836203 y[1] (numeric) = 3.6096131368447780879097948362023 absolute error = 7e-31 relative error = 1.9392659918449916078376927215380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.191 y[1] (analytic) = 3.6097990862814831621059498893642 y[1] (numeric) = 3.6097990862814831621059498893634 absolute error = 8e-31 relative error = 2.2161898235286383139845838564801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.192 y[1] (analytic) = 3.6099856169190535214110807404593 y[1] (numeric) = 3.6099856169190535214110807404585 absolute error = 8e-31 relative error = 2.2160753113547331600745290419220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.193 y[1] (analytic) = 3.6101727295709584604657168081912 y[1] (numeric) = 3.6101727295709584604657168081905 absolute error = 7e-31 relative error = 1.9389653970467769554762139763623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.194 y[1] (analytic) = 3.6103604250500852596243089546892 y[1] (numeric) = 3.6103604250500852596243089546885 absolute error = 7e-31 relative error = 1.9388645940807672861163395827833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.195 y[1] (analytic) = 3.6105487041687383720680168716625 y[1] (numeric) = 3.6105487041687383720680168716618 absolute error = 7e-31 relative error = 1.9387634881971823984503984133869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.196 y[1] (analytic) = 3.610737567738638611500323591276 y[1] (numeric) = 3.6107375677386386115003235912753 absolute error = 7e-31 relative error = 1.9386620790566110211457786268158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.197 y[1] (analytic) = 3.6109270165709223404262894260664 y[1] (numeric) = 3.6109270165709223404262894260656 absolute error = 8e-31 relative error = 2.2154975615090424045763987812688e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.198 y[1] (analytic) = 3.6111170514761406590162570585761 y[1] (numeric) = 3.6111170514761406590162570585753 absolute error = 8e-31 relative error = 2.2153809710293899427747989623571e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.199 y[1] (analytic) = 3.6113076732642585945548189169338 y[1] (numeric) = 3.611307673264258594554818916933 absolute error = 8e-31 relative error = 2.2152640328119163941757234806015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (analytic) = 3.6114988827446542914758573873451 y[1] (numeric) = 3.6114988827446542914758573873442 absolute error = 9e-31 relative error = 2.4920400897812853462803549966915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.201 y[1] (analytic) = 3.6116906807261182019844678283864 y[1] (numeric) = 3.6116906807261182019844678283855 absolute error = 9e-31 relative error = 2.4919077505802851379945648163257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.202 y[1] (analytic) = 3.6118830680168522772665737651122 y[1] (numeric) = 3.6118830680168522772665737651113 absolute error = 9e-31 relative error = 2.4917750188799877052099274573857e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.203 y[1] (analytic) = 3.6120760454244691592870430532913 y[1] (numeric) = 3.6120760454244691592870430532904 absolute error = 9e-31 relative error = 2.4916418942509763411979640756673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=282.2MB, alloc=4.4MB, time=13.54 TOP MAIN SOLVE Loop x[1] = 2.204 y[1] (analytic) = 3.6122696137559913731771132155907 y[1] (numeric) = 3.6122696137559913731771132155898 absolute error = 9e-31 relative error = 2.4915083762648370071553864933359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.205 y[1] (analytic) = 3.6124637738178505202119335622126 y[1] (numeric) = 3.6124637738178505202119335622117 absolute error = 9e-31 relative error = 2.4913744644941600908258364332915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.206 y[1] (analytic) = 3.6126585264158864713790311183766 y[1] (numeric) = 3.6126585264158864713790311183757 absolute error = 9e-31 relative error = 2.4912401585125421624524943233988e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.207 y[1] (analytic) = 3.6128538723553465615385067901125 y[1] (numeric) = 3.6128538723553465615385067901117 absolute error = 8e-31 relative error = 2.2143159625729668693724204215757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.208 y[1] (analytic) = 3.6130498124408847841757676081025 y[1] (numeric) = 3.6130498124408847841757676081017 absolute error = 8e-31 relative error = 2.2141958775252542043874826966517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.209 y[1] (analytic) = 3.6132463474765609867476002967706 y[1] (numeric) = 3.6132463474765609867476002967698 absolute error = 8e-31 relative error = 2.2140754409361222618939946181142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = 3.6134434782658400666223908224814 y[1] (numeric) = 3.6134434782658400666223908224806 absolute error = 8e-31 relative error = 2.2139546524301388692426143895391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.211 y[1] (analytic) = 3.6136412056115911676152939805599 y[1] (numeric) = 3.6136412056115911676152939805591 absolute error = 8e-31 relative error = 2.2138335116327740063265758661156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.212 y[1] (analytic) = 3.6138395303160868771191564858965 y[1] (numeric) = 3.6138395303160868771191564858957 absolute error = 8e-31 relative error = 2.2137120181704013518650542953080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.213 y[1] (analytic) = 3.614038453181002423831996436147 y[1] (numeric) = 3.6140384531810024238319964361462 absolute error = 8e-31 relative error = 2.2135901716702998272046859818566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.214 y[1] (analytic) = 3.6142379750074148760818414199812 y[1] (numeric) = 3.6142379750074148760818414199803 absolute error = 9e-31 relative error = 2.4901514682307370298266133439669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.215 y[1] (analytic) = 3.6144380965958023407497269454754 y[1] (numeric) = 3.6144380965958023407497269454746 absolute error = 8e-31 relative error = 2.2133454180705613111227777923873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.216 y[1] (analytic) = 3.6146388187460431627916562655842 y[1] (numeric) = 3.6146388187460431627916562655833 absolute error = 9e-31 relative error = 2.4898753240087750140239858321623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.217 y[1] (analytic) = 3.6148401422574151253603220786628 y[1] (numeric) = 3.6148401422574151253603220786619 absolute error = 9e-31 relative error = 2.4897366538536973365097874034759e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.218 y[1] (analytic) = 3.6150420679285946505273899822547 y[1] (numeric) = 3.6150420679285946505273899822538 absolute error = 9e-31 relative error = 2.4895975844499551714660197920049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.219 y[1] (analytic) = 3.6152445965576560006071429577922 y[1] (numeric) = 3.6152445965576560006071429577914 absolute error = 8e-31 relative error = 2.2128516581194524505683601949459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (analytic) = 3.6154477289420704800822855624998 y[1] (numeric) = 3.615447728942070480082285562499 absolute error = 8e-31 relative error = 2.2127273299954220502396429165912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.221 y[1] (analytic) = 3.6156514658787056381327059026293 y[1] (numeric) = 3.6156514658787056381327059026284 absolute error = 9e-31 relative error = 2.4891779766202507236487809241768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.222 y[1] (analytic) = 3.6158558081638244717679928591985 y[1] (numeric) = 3.6158558081638244717679928591976 absolute error = 9e-31 relative error = 2.4890373061005188119816902155180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.223 y[1] (analytic) = 3.6160607565930846295645054336504 y[1] (numeric) = 3.6160607565930846295645054336494 absolute error = 1.0e-30 relative error = 2.7654402603073574816984743739238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.224 y[1] (analytic) = 3.6162663119615376160077904762953 y[1] (numeric) = 3.6162663119615376160077904762943 absolute error = 1.0e-30 relative error = 2.7652830674895160705711147334587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.225 y[1] (analytic) = 3.6164724750636279964411444550543 y[1] (numeric) = 3.6164724750636279964411444550533 absolute error = 1.0e-30 relative error = 2.7651254278726566580922202549361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.226 y[1] (analytic) = 3.6166792466931926026211143158744 y[1] (numeric) = 3.6166792466931926026211143158733 absolute error = 1.1e-30 relative error = 3.0414640751063384740086560964115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.227 y[1] (analytic) = 3.6168866276434597388807318792482 y[1] (numeric) = 3.6168866276434597388807318792471 absolute error = 1.1e-30 relative error = 3.0412896870828714897645567659829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.228 y[1] (analytic) = 3.617094618707048388901275609539 y[1] (numeric) = 3.617094618707048388901275609538 absolute error = 1.0e-30 relative error = 2.7646498237235935076830322490024e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.229 y[1] (analytic) = 3.6173032206759674230933529852822 y[1] (numeric) = 3.6173032206759674230933529852812 absolute error = 1.0e-30 relative error = 2.7644903924120838709437445171607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = 3.6175124343416148065880960893144 y[1] (numeric) = 3.6175124343416148065880960893133 absolute error = 1.1e-30 relative error = 3.0407635632638796186251007305289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.231 y[1] (analytic) = 3.6177222604947768078392624274696 y[1] (numeric) = 3.6177222604947768078392624274686 absolute error = 1.0e-30 relative error = 2.7641701822163519819010431735412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=286.1MB, alloc=4.4MB, time=13.73 TOP MAIN SOLVE Loop x[1] = 2.232 y[1] (analytic) = 3.6179326999256272078370323736758 y[1] (numeric) = 3.6179326999256272078370323736747 absolute error = 1.1e-30 relative error = 3.0404103426871715459236735351801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.233 y[1] (analytic) = 3.6181437534237265099342940275866 y[1] (numeric) = 3.6181437534237265099342940275855 absolute error = 1.1e-30 relative error = 3.0402329895242757332095902349376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.234 y[1] (analytic) = 3.6183554217780211502862056584004 y[1] (numeric) = 3.6183554217780211502862056583992 absolute error = 1.2e-30 relative error = 3.3164237895964704204721675387032e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.235 y[1] (analytic) = 3.6185677057768427089038252952355 y[1] (numeric) = 3.6185677057768427089038252952343 absolute error = 1.2e-30 relative error = 3.3162292309309745251533251400325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.236 y[1] (analytic) = 3.6187806062079071213225964103689 y[1] (numeric) = 3.6187806062079071213225964103677 absolute error = 1.2e-30 relative error = 3.3160341302300471347713393613347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.237 y[1] (analytic) = 3.6189941238583138908864780267848 y[1] (numeric) = 3.6189941238583138908864780267836 absolute error = 1.2e-30 relative error = 3.3158384869678799880989656592756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.238 y[1] (analytic) = 3.6192082595145453016485069658388 y[1] (numeric) = 3.6192082595145453016485069658377 absolute error = 1.1e-30 relative error = 3.0393387755684060271462678233161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.239 y[1] (analytic) = 3.6194230139624656318885793344095 y[1] (numeric) = 3.6194230139624656318885793344084 absolute error = 1.1e-30 relative error = 3.0391584397750289852214126500928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (analytic) = 3.6196383879873203682492377336896 y[1] (numeric) = 3.6196383879873203682492377336884 absolute error = 1.2e-30 relative error = 3.3152482965770878346544211093492e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.241 y[1] (analytic) = 3.6198543823737354204902500537652 y[1] (numeric) = 3.619854382373735420490250053764 absolute error = 1.2e-30 relative error = 3.3150504778402017542035998478771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.242 y[1] (analytic) = 3.6200709979057163368627650993383 y[1] (numeric) = 3.6200709979057163368627650993372 absolute error = 1.1e-30 relative error = 3.0386144377731046091640597751479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.243 y[1] (analytic) = 3.6202882353666475201038296723716 y[1] (numeric) = 3.6202882353666475201038296723705 absolute error = 1.1e-30 relative error = 3.0384321039802418947649848577332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.244 y[1] (analytic) = 3.6205060955392914440520511170729 y[1] (numeric) = 3.6205060955392914440520511170717 absolute error = 1.2e-30 relative error = 3.3144537485476995037904989942088e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.245 y[1] (analytic) = 3.6207245792057878708851887114914 y[1] (numeric) = 3.6207245792057878708851887114903 absolute error = 1.1e-30 relative error = 3.0380659338669910136406123440101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.246 y[1] (analytic) = 3.6209436871476530689804566680706 y[1] (numeric) = 3.6209436871476530689804566680695 absolute error = 1.1e-30 relative error = 3.0378820966047924581367614766842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.247 y[1] (analytic) = 3.621163420145779031398320882787 y[1] (numeric) = 3.6211634201457790313983208827858 absolute error = 1.2e-30 relative error = 3.3138520988143942564286548722014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.248 y[1] (analytic) = 3.6213837789804326949905709490147 y[1] (numeric) = 3.6213837789804326949905709490135 absolute error = 1.2e-30 relative error = 3.3136504530813604246582879909436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.249 y[1] (analytic) = 3.6216047644312551601334483279789 y[1] (numeric) = 3.6216047644312551601334483279777 absolute error = 1.2e-30 relative error = 3.3134482585883461524650753623567e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = 3.6218263772772609110866109426036 y[1] (numeric) = 3.6218263772772609110866109426024 absolute error = 1.2e-30 relative error = 3.3132455148281025758030512444730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.251 y[1] (analytic) = 3.6220486182968370369787138357252 y[1] (numeric) = 3.622048618296837036978713835724 absolute error = 1.2e-30 relative error = 3.3130422212948237029007952950579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.252 y[1] (analytic) = 3.6222714882677424534203849070263 y[1] (numeric) = 3.6222714882677424534203849070251 absolute error = 1.2e-30 relative error = 3.3128383774841485666761780945862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.253 y[1] (analytic) = 3.6224949879671071247453741156483 y[1] (numeric) = 3.6224949879671071247453741156471 absolute error = 1.2e-30 relative error = 3.3126339828931633725047238957268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.254 y[1] (analytic) = 3.6227191181714312868806539072698 y[1] (numeric) = 3.6227191181714312868806539072686 absolute error = 1.2e-30 relative error = 3.3124290370204036413188870972038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.255 y[1] (analytic) = 3.6229438796565846708462479954851 y[1] (numeric) = 3.6229438796565846708462479954839 absolute error = 1.2e-30 relative error = 3.3122235393658563480155621449205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.256 y[1] (analytic) = 3.623169273197805726885564997589 y[1] (numeric) = 3.6231692731978057268855649975878 absolute error = 1.2e-30 relative error = 3.3120174894309620551491700795731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.257 y[1] (analytic) = 3.6233952995697008492270127943704 y[1] (numeric) = 3.6233952995697008492270127943692 absolute error = 1.2e-30 relative error = 3.3118108867186170418876887777599e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.258 y[1] (analytic) = 3.6236219595462436014776688522352 y[1] (numeric) = 3.6236219595462436014776688522339 absolute error = 1.3e-30 relative error = 3.5875707082942733805597695789825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.259 y[1] (analytic) = 3.6238492539007739426497811139232 y[1] (numeric) = 3.6238492539007739426497811139219 absolute error = 1.3e-30 relative error = 3.5873456893954889021746866760431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.4MB, time=13.92 x[1] = 2.26 y[1] (analytic) = 3.6240771834059974538208734312552 y[1] (numeric) = 3.6240771834059974538208734312539 absolute error = 1.3e-30 relative error = 3.5871200700483641948446358433563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.261 y[1] (analytic) = 3.6243057488339845654282288797383 y[1] (numeric) = 3.6243057488339845654282288797371 absolute error = 1.2e-30 relative error = 3.3109789382037242706379275182575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.262 y[1] (analytic) = 3.6245349509561697851985236604836 y[1] (numeric) = 3.6245349509561697851985236604824 absolute error = 1.2e-30 relative error = 3.3107695641986683497032769662976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.263 y[1] (analytic) = 3.6247647905433509267133836597364 y[1] (numeric) = 3.6247647905433509267133836597352 absolute error = 1.2e-30 relative error = 3.3105596344642280512424479345797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.264 y[1] (analytic) = 3.6249952683656883386116351003996 y[1] (numeric) = 3.6249952683656883386116351003984 absolute error = 1.2e-30 relative error = 3.3103491485135488788328093911898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.265 y[1] (analytic) = 3.6252263851927041344290200832342 y[1] (numeric) = 3.6252263851927041344290200832331 absolute error = 1.1e-30 relative error = 3.0342932637061448351490195226834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.266 y[1] (analytic) = 3.6254581417932814230761471779583 y[1] (numeric) = 3.6254581417932814230761471779572 absolute error = 1.1e-30 relative error = 3.0340992971881358129773143130155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.267 y[1] (analytic) = 3.6256905389356635399554465862282 y[1] (numeric) = 3.6256905389356635399554465862271 absolute error = 1.1e-30 relative error = 3.0339048194744980953811896974200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.268 y[1] (analytic) = 3.6259235773874532787178987594843 y[1] (numeric) = 3.6259235773874532787178987594832 absolute error = 1.1e-30 relative error = 3.0337098301243592866931506546310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.269 y[1] (analytic) = 3.626157257915612123660304714868 y[1] (numeric) = 3.6261572579156121236603047148669 absolute error = 1.1e-30 relative error = 3.0335143286982044704374698785094e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (analytic) = 3.6263915812864594827638656518757 y[1] (numeric) = 3.6263915812864594827638656518746 absolute error = 1.1e-30 relative error = 3.0333183147578781025457872668375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.271 y[1] (analytic) = 3.6266265482656719213748388311058 y[1] (numeric) = 3.6266265482656719213748388311047 absolute error = 1.1e-30 relative error = 3.0331217878665858999424050448674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.272 y[1] (analytic) = 3.62686215961828239652803603438 y[1] (numeric) = 3.6268621596182823965280360343789 absolute error = 1.1e-30 relative error = 3.0329247475888967244788935894883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.273 y[1] (analytic) = 3.6270984161086794919139302826759 y[1] (numeric) = 3.6270984161086794919139302826748 absolute error = 1.1e-30 relative error = 3.0327271934907444621976494385289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.274 y[1] (analytic) = 3.6273353185006066534901358447001 y[1] (numeric) = 3.627335318500606653490135844699 absolute error = 1.1e-30 relative error = 3.0325291251394298979040736746561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.275 y[1] (analytic) = 3.6275728675571614257380259245594 y[1] (numeric) = 3.6275728675571614257380259245584 absolute error = 1.0e-30 relative error = 2.7566641291851114409336962405238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.276 y[1] (analytic) = 3.6278110640407946885652517718475 y[1] (numeric) = 3.6278110640407946885652517718464 absolute error = 1.1e-30 relative error = 3.0321314439533627107475560117800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.277 y[1] (analytic) = 3.6280499087133098948549263115644 y[1] (numeric) = 3.6280499087133098948549263115633 absolute error = 1.1e-30 relative error = 3.0319318302600629563748245448877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.278 y[1] (analytic) = 3.6282894023358623086622347446232 y[1] (numeric) = 3.6282894023358623086622347446221 absolute error = 1.1e-30 relative error = 3.0317317005965103529503882137133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.279 y[1] (analytic) = 3.6285295456689582440592339222676 y[1] (numeric) = 3.6285295456689582440592339222665 absolute error = 1.1e-30 relative error = 3.0315310545368681320592579014764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (analytic) = 3.6287703394724543046286016495393 y[1] (numeric) = 3.6287703394724543046286016495382 absolute error = 1.1e-30 relative error = 3.0313298916566775718284027840915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.281 y[1] (analytic) = 3.6290117845055566236070964239817 y[1] (numeric) = 3.6290117845055566236070964239806 absolute error = 1.1e-30 relative error = 3.0311282115328598380922839761355e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.282 y[1] (analytic) = 3.6292538815268201046794874660569 y[1] (numeric) = 3.6292538815268201046794874660559 absolute error = 1.0e-30 relative error = 2.7553872852215616551866816344479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.283 y[1] (analytic) = 3.6294966312941476634237142472835 y[1] (numeric) = 3.6294966312941476634237142472825 absolute error = 1.0e-30 relative error = 2.7552029980626708772558309806789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.284 y[1] (analytic) = 3.6297400345647894694080340708707 y[1] (numeric) = 3.6297400345647894694080340708697 absolute error = 1.0e-30 relative error = 2.7550182395359928165816986173545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.285 y[1] (analytic) = 3.62998409209534218894091560764 y[1] (numeric) = 3.629984092095342188940915607639 absolute error = 1.0e-30 relative error = 2.7548330092619447740351906052518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.286 y[1] (analytic) = 3.6302288046417482284744356372766 y[1] (numeric) = 3.6302288046417482284744356372757 absolute error = 9e-31 relative error = 2.4791825761759861166245028031160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.287 y[1] (analytic) = 3.6304741729592949786619355914513 y[1] (numeric) = 3.6304741729592949786619355914504 absolute error = 9e-31 relative error = 2.4790150187637509903960858239673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=14.11 x[1] = 2.288 y[1] (analytic) = 3.6307201978026140590706938410923 y[1] (numeric) = 3.6307201978026140590706938410913 absolute error = 1.0e-30 relative error = 2.7542744841787048280378649607894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.289 y[1] (analytic) = 3.6309668799256805635503690150733 y[1] (numeric) = 3.6309668799256805635503690150724 absolute error = 9e-31 relative error = 2.4786786268301665144039438760827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = 3.631214220081812306257968981811 y[1] (numeric) = 3.6312142200818123062579689818101 absolute error = 9e-31 relative error = 2.4785097916358202072317604520970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.291 y[1] (analytic) = 3.6314622190236690683400994687391 y[1] (numeric) = 3.6314622190236690683400994687381 absolute error = 1.0e-30 relative error = 2.7537116998255688611882257162799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.292 y[1] (analytic) = 3.6317108775032518452732456373488 y[1] (numeric) = 3.6317108775032518452732456373479 absolute error = 9e-31 relative error = 2.4781708411181036731258943476347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.293 y[1] (analytic) = 3.6319601962719020948628392734521 y[1] (numeric) = 3.6319601962719020948628392734511 absolute error = 1.0e-30 relative error = 2.7533341390317821312763876110114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.294 y[1] (analytic) = 3.6322101760803009859018635935348 y[1] (numeric) = 3.6322101760803009859018635935338 absolute error = 1.0e-30 relative error = 2.7531446461590772688212932049548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.295 y[1] (analytic) = 3.6324608176784686474897470085364 y[1] (numeric) = 3.6324608176784686474897470085354 absolute error = 1.0e-30 relative error = 2.7529546778128967118721467355749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.296 y[1] (analytic) = 3.6327121218157634190122965260963 y[1] (numeric) = 3.6327121218157634190122965260953 absolute error = 1.0e-30 relative error = 2.7527642336276378001055355242273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.297 y[1] (analytic) = 3.6329640892408811007834208112734 y[1] (numeric) = 3.6329640892408811007834208112723 absolute error = 1.1e-30 relative error = 3.0278306445628763332793625612174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.298 y[1] (analytic) = 3.6332167207018542053493922639516 y[1] (numeric) = 3.6332167207018542053493922639505 absolute error = 1.1e-30 relative error = 3.0276201079122668176704291724847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.299 y[1] (analytic) = 3.6334700169460512094563968086086 y[1] (numeric) = 3.6334700169460512094563968086075 absolute error = 1.1e-30 relative error = 3.0274090466406413878898468386898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (analytic) = 3.633723978720175806682119428834 y[1] (numeric) = 3.6337239787201758066821194288329 absolute error = 1.1e-30 relative error = 3.0271974603514823235716083803502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.301 y[1] (analytic) = 3.6339786067702661607321128149499 y[1] (numeric) = 3.6339786067702661607321128149488 absolute error = 1.1e-30 relative error = 3.0269853486496875697080670171863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.302 y[1] (analytic) = 3.6342339018416941594016958283034 y[1] (numeric) = 3.6342339018416941594016958283023 absolute error = 1.1e-30 relative error = 3.0267727111415724717261951096374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.303 y[1] (analytic) = 3.6344898646791646692041278202694 y[1] (numeric) = 3.6344898646791646692041278202683 absolute error = 1.1e-30 relative error = 3.0265595474348715052957431199249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.304 y[1] (analytic) = 3.6347464960267147906658041777283 y[1] (numeric) = 3.6347464960267147906658041777272 absolute error = 1.1e-30 relative error = 3.0263458571387400008499010449501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.305 y[1] (analytic) = 3.6350037966277131142892177997601 y[1] (numeric) = 3.635003796627713114289217799759 absolute error = 1.1e-30 relative error = 3.0261316398637558627991001242302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.306 y[1] (analytic) = 3.635261767224858977184430542532 y[1] (numeric) = 3.6352617672248589771844305425309 absolute error = 1.1e-30 relative error = 3.0259168952219212834186284603789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.307 y[1] (analytic) = 3.6355204085601817203697980008459 y[1] (numeric) = 3.6355204085601817203697980008448 absolute error = 1.1e-30 relative error = 3.0257016228266644513907703071487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.308 y[1] (analytic) = 3.6357797213750399467426903255592 y[1] (numeric) = 3.6357797213750399467426903255581 absolute error = 1.1e-30 relative error = 3.0254858222928412549822151805801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.309 y[1] (analytic) = 3.636039706410120779720951106096 y[1] (numeric) = 3.636039706410120779720951106095 absolute error = 1.0e-30 relative error = 2.7502449938515790725795633019474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = 3.636300364405439122555835676529 y[1] (numeric) = 3.6363003644054391225558356765279 absolute error = 1.1e-30 relative error = 3.0250526352760680013694414887032e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.311 y[1] (analytic) = 3.6365616961003369183171695322296 y[1] (numeric) = 3.6365616961003369183171695322286 absolute error = 1.0e-30 relative error = 2.7498502254818031561154578295693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.312 y[1] (analytic) = 3.6368237022334824105514668718703 y[1] (numeric) = 3.6368237022334824105514668718692 absolute error = 1.1e-30 relative error = 3.0246173311190670013221817650216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.313 y[1] (analytic) = 3.6370863835428694046137486065941 y[1] (numeric) = 3.637086383542869404613748606593 absolute error = 1.1e-30 relative error = 3.0243988841653383348961489704973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.314 y[1] (analytic) = 3.6373497407658165296737985044763 y[1] (numeric) = 3.6373497407658165296737985044752 absolute error = 1.1e-30 relative error = 3.0241799067922550221060468703854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.315 y[1] (analytic) = 3.6376137746389665013975954639574 y[1] (numeric) = 3.6376137746389665013975954639563 absolute error = 1.1e-30 relative error = 3.0239603986247140826132929341682e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.4MB, time=14.29 x[1] = 2.316 y[1] (analytic) = 3.6378784858982853853046592347549 y[1] (numeric) = 3.6378784858982853853046592347539 absolute error = 1.0e-30 relative error = 2.7488548720809578778677009547586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.317 y[1] (analytic) = 3.6381438752790618608020462288476 y[1] (numeric) = 3.6381438752790618608020462288465 absolute error = 1.1e-30 relative error = 3.0235197884130547040758919579166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.318 y[1] (analytic) = 3.6384099435159064858957313874729 y[1] (numeric) = 3.6384099435159064858957313874719 absolute error = 1.0e-30 relative error = 2.7484533505690386934663174552332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.319 y[1] (analytic) = 3.6386766913427509625801113926972 y[1] (numeric) = 3.6386766913427509625801113926962 absolute error = 1.0e-30 relative error = 2.7482518641439897107231234366737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = 3.6389441194928474029063638339918 y[1] (numeric) = 3.6389441194928474029063638339908 absolute error = 1.0e-30 relative error = 2.7480498934931929211454786087253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.321 y[1] (analytic) = 3.6392122286987675957303962613959 y[1] (numeric) = 3.6392122286987675957303962613949 absolute error = 1.0e-30 relative error = 2.7478474382835287758647007308767e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.322 y[1] (analytic) = 3.6394810196924022741411183772566 y[1] (numeric) = 3.6394810196924022741411183772556 absolute error = 1.0e-30 relative error = 2.7476444981831967897197110073311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.323 y[1] (analytic) = 3.6397504932049603835697699382109 y[1] (numeric) = 3.6397504932049603835697699382099 absolute error = 1.0e-30 relative error = 2.7474410728617170143675895765241e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.324 y[1] (analytic) = 3.6400206499669683505810362580234 y[1] (numeric) = 3.6400206499669683505810362580224 absolute error = 1.0e-30 relative error = 2.7472371619899315062417572605069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.325 y[1] (analytic) = 3.6402914907082693523466825201005 y[1] (numeric) = 3.6402914907082693523466825200995 absolute error = 1.0e-30 relative error = 2.7470327652400057893408818020931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.326 y[1] (analytic) = 3.6405630161580225868024374259886 y[1] (numeric) = 3.6405630161580225868024374259876 absolute error = 1.0e-30 relative error = 2.7468278822854303128316445041721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.327 y[1] (analytic) = 3.6408352270447025434888560229092 y[1] (numeric) = 3.6408352270447025434888560229082 absolute error = 1.0e-30 relative error = 2.7466225128010219034485411250599e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.328 y[1] (analytic) = 3.64110812409609827507689086941 y[1] (numeric) = 3.6411081240960982750768908694089 absolute error = 1.1e-30 relative error = 3.0210583221092177339413219834511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.329 y[1] (analytic) = 3.6413817080393126695789000134973 y[1] (numeric) = 3.6413817080393126695789000134963 absolute error = 1.0e-30 relative error = 2.7462103129486141586815714103485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (analytic) = 3.641655979600761723245819572184 y[1] (numeric) = 3.641655979600761723245819572183 absolute error = 1.0e-30 relative error = 2.7460034819368933630269667943324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.331 y[1] (analytic) = 3.6419309395061738141512280152172 y[1] (numeric) = 3.6419309395061738141512280152162 absolute error = 1.0e-30 relative error = 2.7457961631078995820677935900525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.332 y[1] (analytic) = 3.6422065884805889764630285688631 y[1] (numeric) = 3.642206588480588976463028568862 absolute error = 1.1e-30 relative error = 3.0201471917574134464076189297769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.333 y[1] (analytic) = 3.6424829272483581754034754680039 y[1] (numeric) = 3.6424829272483581754034754680029 absolute error = 1.0e-30 relative error = 2.7453800607253093151777947914379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.334 y[1] (analytic) = 3.6427599565331425828982690964629 y[1] (numeric) = 3.6427599565331425828982690964619 absolute error = 1.0e-30 relative error = 2.7451712765386598246464418848619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.335 y[1] (analytic) = 3.6430376770579128539154443663989 y[1] (numeric) = 3.6430376770579128539154443663979 absolute error = 1.0e-30 relative error = 2.7449620032686341652955839216272e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.336 y[1] (analytic) = 3.6433160895449484034947759978244 y[1] (numeric) = 3.6433160895449484034947759978234 absolute error = 1.0e-30 relative error = 2.7447522406020510531923827791198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.337 y[1] (analytic) = 3.64359519471583668446842366878 y[1] (numeric) = 3.643595194715836684468423668779 absolute error = 1.0e-30 relative error = 2.7445419882270698161325873338873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.338 y[1] (analytic) = 3.6438749932914724658735393154604 y[1] (numeric) = 3.6438749932914724658735393154594 absolute error = 1.0e-30 relative error = 2.7443312458331917877082885353903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.339 y[1] (analytic) = 3.6441554859920571120575581696245 y[1] (numeric) = 3.6441554859920571120575581696235 absolute error = 1.0e-30 relative error = 2.7441200131112616959738459299113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = 3.6444366735370978624768944279386 y[1] (numeric) = 3.6444366735370978624768944279376 absolute error = 1.0e-30 relative error = 2.7439082897534690466936755835295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.341 y[1] (analytic) = 3.644718556645407112189761754497 y[1] (numeric) = 3.644718556645407112189761754496 absolute error = 1.0e-30 relative error = 2.7436960754533495011556308016470e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.342 y[1] (analytic) = 3.6450011360351016930438381236389 y[1] (numeric) = 3.6450011360351016930438381236379 absolute error = 1.0e-30 relative error = 2.7434833699057862485337487392786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.343 y[1] (analytic) = 3.6452844124236021555594938153379 y[1] (numeric) = 3.6452844124236021555594938153369 absolute error = 1.0e-30 relative error = 2.7432701728070113727841779408165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.4MB, time=14.47 x[1] = 2.344 y[1] (analytic) = 3.6455683865276320515093006798759 y[1] (numeric) = 3.6455683865276320515093006798749 absolute error = 1.0e-30 relative error = 2.7430564838546072140581440398968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.345 y[1] (analytic) = 3.6458530590632172171945400922314 y[1] (numeric) = 3.6458530590632172171945400922304 absolute error = 1.0e-30 relative error = 2.7428423027475077246158532889493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.346 y[1] (analytic) = 3.6461384307456850574194263196161 y[1] (numeric) = 3.6461384307456850574194263196151 absolute error = 1.0e-30 relative error = 2.7426276291859998192252762736197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.347 y[1] (analytic) = 3.6464245022896638301637613278758 y[1] (numeric) = 3.6464245022896638301637613278748 absolute error = 1.0e-30 relative error = 2.7424124628717247200297970991386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.348 y[1] (analytic) = 3.6467112744090819319547363540412 y[1] (numeric) = 3.6467112744090819319547363540402 absolute error = 1.0e-30 relative error = 2.7421968035076792958687565134812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.349 y[1] (analytic) = 3.6469987478171671839385948731675 y[1] (numeric) = 3.6469987478171671839385948731665 absolute error = 1.0e-30 relative error = 2.7419806507982173960349608554162e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = 3.6472869232264461186528708877411 y[1] (numeric) = 3.6472869232264461186528708877401 absolute error = 1.0e-30 relative error = 2.7417640044490511784532723838833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.351 y[1] (analytic) = 3.6475758013487432674999157673543 y[1] (numeric) = 3.6475758013487432674999157673533 absolute error = 1.0e-30 relative error = 2.7415468641672524322644404581684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.352 y[1] (analytic) = 3.6478653828951804489224261650631 y[1] (numeric) = 3.6478653828951804489224261650622 absolute error = 9e-31 relative error = 2.4671963066951285053185394760680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.353 y[1] (analytic) = 3.6481556685761760572816848348402 y[1] (numeric) = 3.6481556685761760572816848348393 absolute error = 9e-31 relative error = 2.4669999905767655066290130714018e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.354 y[1] (analytic) = 3.648446659101444352439225471823 y[1] (numeric) = 3.648446659101444352439225471822 absolute error = 1.0e-30 relative error = 2.7408924768172009987398130769501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.355 y[1] (analytic) = 3.6487383551799947500426319936327 y[1] (numeric) = 3.6487383551799947500426319936317 absolute error = 1.0e-30 relative error = 2.7406733579028286296499271643088e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.356 y[1] (analytic) = 3.6490307575201311125161819769068 y[1] (numeric) = 3.6490307575201311125161819769058 absolute error = 1.0e-30 relative error = 2.7404537436116230427092973882740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.357 y[1] (analytic) = 3.6493238668294510407570432583412 y[1] (numeric) = 3.6493238668294510407570432583402 absolute error = 1.0e-30 relative error = 2.7402336336588412733232100869410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.358 y[1] (analytic) = 3.6496176838148451665377320039872 y[1] (numeric) = 3.6496176838148451665377320039863 absolute error = 9e-31 relative error = 2.4660117249849981794026175492593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.359 y[1] (analytic) = 3.6499122091824964456155398442861 y[1] (numeric) = 3.6499122091824964456155398442852 absolute error = 9e-31 relative error = 2.4658127330727800364637969656229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = 3.6502074436378794515496369653549 y[1] (numeric) = 3.650207443637879451549636965354 absolute error = 9e-31 relative error = 2.4656132943037330670677833898407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.361 y[1] (analytic) = 3.6505033878857596702265573393624 y[1] (numeric) = 3.6505033878857596702265573393615 absolute error = 9e-31 relative error = 2.4654134084265229124084059762622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.362 y[1] (analytic) = 3.6508000426301927950947715684501 y[1] (numeric) = 3.6508000426301927950947715684492 absolute error = 9e-31 relative error = 2.4652130751910516389878944509274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.363 y[1] (analytic) = 3.6510974085745240231090521075678 y[1] (numeric) = 3.6510974085745240231090521075668 absolute error = 1.0e-30 relative error = 2.7389025492760654082462310653920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.364 y[1] (analytic) = 3.6513954864213873513853349217983 y[1] (numeric) = 3.6513954864213873513853349217973 absolute error = 1.0e-30 relative error = 2.7386789618345809955842693865034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.365 y[1] (analytic) = 3.6516942768727048745667809232533 y[1] (numeric) = 3.6516942768727048745667809232523 absolute error = 1.0e-30 relative error = 2.7384548765029575768611514684386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.366 y[1] (analytic) = 3.6519937806296860829017398214181 y[1] (numeric) = 3.651993780629686082901739821417 absolute error = 1.1e-30 relative error = 3.0120533223096978938402339550706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.367 y[1] (analytic) = 3.6522939983928271610343183089238 y[1] (numeric) = 3.6522939983928271610343183089228 absolute error = 1.0e-30 relative error = 2.7380052110811582003519255502429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.368 y[1] (analytic) = 3.6525949308619102875082537921215 y[1] (numeric) = 3.6525949308619102875082537921205 absolute error = 1.0e-30 relative error = 2.7377796304503657545142254342729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.369 y[1] (analytic) = 3.6528965787360029349847941625237 y[1] (numeric) = 3.6528965787360029349847941625227 absolute error = 1.0e-30 relative error = 2.7375535508482037708261876445522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = 3.6531989427134571711752833911776 y[1] (numeric) = 3.6531989427134571711752833911766 absolute error = 1.0e-30 relative error = 2.7373269720078207670655500948732e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.371 y[1] (analytic) = 3.6535020234919089604891520133249 y[1] (numeric) = 3.6535020234919089604891520133239 absolute error = 1.0e-30 relative error = 2.7370998936637501450078973044577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.372 y[1] (analytic) = 3.6538058217682774663980108552994 y[1] (numeric) = 3.6538058217682774663980108552984 absolute error = 1.0e-30 relative error = 2.7368723155519113919417340139993e-29 % Correct digits = 30 h = 0.001 memory used=305.1MB, alloc=4.4MB, time=14.65 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.373 y[1] (analytic) = 3.6541103382387643545165456395113 y[1] (numeric) = 3.6541103382387643545165456395103 absolute error = 1.0e-30 relative error = 2.7366442374096112762519077174366e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.374 y[1] (analytic) = 3.6544155735988530964009093865652 y[1] (numeric) = 3.6544155735988530964009093865643 absolute error = 9e-31 relative error = 2.4627740930779905333509544861880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.375 y[1] (analytic) = 3.654721528543308274065308816061 y[1] (numeric) = 3.6547215285433082740653088160601 absolute error = 9e-31 relative error = 2.4625679219908178110949564898698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.376 y[1] (analytic) = 3.6550282037661748852174802294336 y[1] (numeric) = 3.6550282037661748852174802294327 absolute error = 9e-31 relative error = 2.4623613001744601349317871804316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.377 y[1] (analytic) = 3.655335599960777649213749639298 y[1] (numeric) = 3.655335599960777649213749639297 absolute error = 1.0e-30 relative error = 2.7357269193305538459684443271765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.378 y[1] (analytic) = 3.6556437178197203137343711901811 y[1] (numeric) = 3.6556437178197203137343711901801 absolute error = 1.0e-30 relative error = 2.7354963371441862216620779194507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.379 y[1] (analytic) = 3.6559525580348849621798371952449 y[1] (numeric) = 3.6559525580348849621798371952439 absolute error = 1.0e-30 relative error = 2.7352652533803969496378793133804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (analytic) = 3.6562621212974313217888523926325 y[1] (numeric) = 3.6562621212974313217888523926314 absolute error = 1.1e-30 relative error = 3.0085370345648604150387879886182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.381 y[1] (analytic) = 3.6565724082977960724786643034049 y[1] (numeric) = 3.6565724082977960724786643034039 absolute error = 1.0e-30 relative error = 2.7348015801101529370930896207540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.382 y[1] (analytic) = 3.6568834197256921564084408506824 y[1] (numeric) = 3.6568834197256921564084408506813 absolute error = 1.1e-30 relative error = 3.0080258891121897167588534124775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.383 y[1] (analytic) = 3.6571951562701080882663856765523 y[1] (numeric) = 3.6571951562701080882663856765513 absolute error = 1.0e-30 relative error = 2.7343358975129939054432602291965e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.384 y[1] (analytic) = 3.6575076186193072662812808695739 y[1] (numeric) = 3.6575076186193072662812808695729 absolute error = 1.0e-30 relative error = 2.7341023020958067564456099991543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.385 y[1] (analytic) = 3.6578208074608272839591460912768 y[1] (numeric) = 3.6578208074608272839591460912758 absolute error = 1.0e-30 relative error = 2.7338682036044744225303107483989e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.386 y[1] (analytic) = 3.6581347234814792425457023649394 y[1] (numeric) = 3.6581347234814792425457023649384 absolute error = 1.0e-30 relative error = 2.7336336017944443988730949616375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.387 y[1] (analytic) = 3.658449367367347064215328064124 y[1] (numeric) = 3.658449367367347064215328064123 absolute error = 1.0e-30 relative error = 2.7333984964225675689141163651654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.388 y[1] (analytic) = 3.6587647398037868059871939119571 y[1] (numeric) = 3.6587647398037868059871939119561 absolute error = 1.0e-30 relative error = 2.7331628872470993092231495450750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.389 y[1] (analytic) = 3.6590808414754259743692630749612 y[1] (numeric) = 3.6590808414754259743692630749602 absolute error = 1.0e-30 relative error = 2.7329267740277005882030015528296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = 3.6593976730661628407308417073819 y[1] (numeric) = 3.659397673066162840730841707381 absolute error = 9e-31 relative error = 2.4594211408728951527554741470987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.391 y[1] (analytic) = 3.659715235259165757404364573403 y[1] (numeric) = 3.659715235259165757404364573402 absolute error = 1.0e-30 relative error = 2.7324530345027901439280234239581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.392 y[1] (analytic) = 3.660033528736872474517099645405 y[1] (numeric) = 3.660033528736872474517099645404 absolute error = 1.0e-30 relative error = 2.7322154077236381184311753258034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.393 y[1] (analytic) = 3.6603525541809894575534548465086 y[1] (numeric) = 3.6603525541809894575534548465076 absolute error = 1.0e-30 relative error = 2.7319772759532771811730928533070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.394 y[1] (analytic) = 3.6606723122724912056485693750364 y[1] (numeric) = 3.6606723122724912056485693750354 absolute error = 1.0e-30 relative error = 2.7317386389584125236373903015209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.395 y[1] (analytic) = 3.660992803691619570613871317247 y[1] (numeric) = 3.660992803691619570613871317246 absolute error = 1.0e-30 relative error = 2.7314994965071613911866276189253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.396 y[1] (analytic) = 3.6613140291178830766952825227261 y[1] (numeric) = 3.6613140291178830766952825227251 absolute error = 1.0e-30 relative error = 2.7312598483690541382458306138860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.397 y[1] (analytic) = 3.6616359892300562410647509841728 y[1] (numeric) = 3.6616359892300562410647509841719 absolute error = 9e-31 relative error = 2.4579177248835317494927729505680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.398 y[1] (analytic) = 3.6619586847061788950457902299932 y[1] (numeric) = 3.6619586847061788950457902299923 absolute error = 9e-31 relative error = 2.4577011307057180689823006052886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.399 y[1] (analytic) = 3.662282116223555506073704504104 y[1] (numeric) = 3.662282116223555506073704504103 absolute error = 1.0e-30 relative error = 2.7305378675501178198054525548651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = 3.6626062844587545003911777726652 y[1] (numeric) = 3.6626062844587545003911777726642 absolute error = 1.0e-30 relative error = 2.7302961943881883902276165714945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=309.0MB, alloc=4.4MB, time=14.83 TOP MAIN SOLVE Loop x[1] = 2.401 y[1] (analytic) = 3.662931190087607586479903862097 y[1] (numeric) = 3.662931190087607586479903862096 absolute error = 1.0e-30 relative error = 2.7300540144082877398627619940273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.402 y[1] (analytic) = 3.6632568337852090792289342966924 y[1] (numeric) = 3.6632568337852090792289342966915 absolute error = 9e-31 relative error = 2.4568301946496020157801866524951e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.403 y[1] (analytic) = 3.6635832162259152248404196674242 y[1] (numeric) = 3.6635832162259152248404196674232 absolute error = 1.0e-30 relative error = 2.7295681331081163577127915672247e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.404 y[1] (analytic) = 3.6639103380833435264734196261454 y[1] (numeric) = 3.6639103380833435264734196261445 absolute error = 9e-31 relative error = 2.4563919882133522966416119221614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.405 y[1] (analytic) = 3.6642382000303720706264558613207 y[1] (numeric) = 3.6642382000303720706264558613197 absolute error = 1.0e-30 relative error = 2.7290802218909000464968313878740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.406 y[1] (analytic) = 3.6645668027391388542594816726758 y[1] (numeric) = 3.6645668027391388542594816726748 absolute error = 1.0e-30 relative error = 2.7288355045200269354310634476261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.407 y[1] (analytic) = 3.6648961468810411126559410227427 y[1] (numeric) = 3.6648961468810411126559410227417 absolute error = 1.0e-30 relative error = 2.7285902790206922781897090914039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.408 y[1] (analytic) = 3.6652262331267346480255892031832 y[1] (numeric) = 3.6652262331267346480255892031822 absolute error = 1.0e-30 relative error = 2.7283445451794637459079171668728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.409 y[1] (analytic) = 3.6655570621461331588487465130151 y[1] (numeric) = 3.6655570621461331588487465130141 absolute error = 1.0e-30 relative error = 2.7280983027843352605717043326146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (analytic) = 3.665888634608407569962655604432 y[1] (numeric) = 3.665888634608407569962655604431 absolute error = 1.0e-30 relative error = 2.7278515516247279611869245007234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.411 y[1] (analytic) = 3.6662209511819853633906124098023 y[1] (numeric) = 3.6662209511819853633906124098012 absolute error = 1.1e-30 relative error = 3.0003647206406402798416171596160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.412 y[1] (analytic) = 3.6665540125345499099145398206613 y[1] (numeric) = 3.6665540125345499099145398206602 absolute error = 1.1e-30 relative error = 3.0000921743945936445247854917156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.413 y[1] (analytic) = 3.6668878193330398013916725460678 y[1] (numeric) = 3.6668878193330398013916725460667 absolute error = 1.1e-30 relative error = 2.9998190678221402260578842495762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.414 y[1] (analytic) = 3.6672223722436481838160208335834 y[1] (numeric) = 3.6672223722436481838160208335823 absolute error = 1.1e-30 relative error = 2.9995454006979335178549270772913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.415 y[1] (analytic) = 3.6675576719318220911252799913558 y[1] (numeric) = 3.6675576719318220911252799913547 absolute error = 1.1e-30 relative error = 2.9992711727982021591805551941626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.416 y[1] (analytic) = 3.6678937190622617797538519043411 y[1] (numeric) = 3.66789371906226177975385190434 absolute error = 1.1e-30 relative error = 2.9989963839007509551186570656964e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.417 y[1] (analytic) = 3.6682305142989200639326439915884 y[1] (numeric) = 3.6682305142989200639326439915872 absolute error = 1.2e-30 relative error = 3.2713320368563220611162501547410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.418 y[1] (analytic) = 3.6685680583050016517363103047312 y[1] (numeric) = 3.66856805830500165173631030473 absolute error = 1.2e-30 relative error = 3.2710310424346855961140454246083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.419 y[1] (analytic) = 3.6689063517429624818785987203911 y[1] (numeric) = 3.6689063517429624818785987203899 absolute error = 1.2e-30 relative error = 3.2707294352986800292404369993284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (analytic) = 3.6692453952745090612564674310893 y[1] (numeric) = 3.6692453952745090612564674310881 absolute error = 1.2e-30 relative error = 3.2704272152127993868462241290584e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.421 y[1] (analytic) = 3.6695851895605978032436331904954 y[1] (numeric) = 3.6695851895605978032436331904943 absolute error = 1.1e-30 relative error = 2.9976140167813240449668891287261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.422 y[1] (analytic) = 3.6699257352614343667342130194104 y[1] (numeric) = 3.6699257352614343667342130194093 absolute error = 1.1e-30 relative error = 2.9973358573198466639412354261729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.423 y[1] (analytic) = 3.6702670330364729959371203287855 y[1] (numeric) = 3.6702670330364729959371203287844 absolute error = 1.1e-30 relative error = 2.9970571353494998812744642603529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.424 y[1] (analytic) = 3.6706090835444158609218756653275 y[1] (numeric) = 3.6706090835444158609218756653264 absolute error = 1.1e-30 relative error = 2.9967778506607336825033755655566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.425 y[1] (analytic) = 3.6709518874432123989164915338238 y[1] (numeric) = 3.6709518874432123989164915338228 absolute error = 1.0e-30 relative error = 2.7240890936778027943488570686375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.426 y[1] (analytic) = 3.6712954453900586563580899982483 y[1] (numeric) = 3.6712954453900586563580899982472 absolute error = 1.1e-30 relative error = 2.9962175922976690294103801591697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.427 y[1] (analytic) = 3.6716397580413966316969110109739 y[1] (numeric) = 3.6716397580413966316969110109728 absolute error = 1.1e-30 relative error = 2.9959366182121994320197086402185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.428 y[1] (analytic) = 3.6719848260529136189543686660314 y[1] (numeric) = 3.6719848260529136189543686660303 absolute error = 1.1e-30 relative error = 2.9956550805859700054618786226494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=312.8MB, alloc=4.4MB, time=15.02 TOP MAIN SOLVE Loop x[1] = 2.429 y[1] (analytic) = 3.6723306500795415520358118183007 y[1] (numeric) = 3.6723306500795415520358118182997 absolute error = 1.0e-30 relative error = 2.7230663447430593093905234443267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = 3.6726772307754563497986447558221 y[1] (numeric) = 3.6726772307754563497986447558211 absolute error = 1.0e-30 relative error = 2.7228093762785084655733668130300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.431 y[1] (analytic) = 3.6730245687940772618764628570493 y[1] (numeric) = 3.6730245687940772618764628570483 absolute error = 1.0e-30 relative error = 2.7225518949586518109929120543126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.432 y[1] (analytic) = 3.6733726647880662152598574088567 y[1] (numeric) = 3.6733726647880662152598574088557 absolute error = 1.0e-30 relative error = 2.7222939006045405005294026755942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.433 y[1] (analytic) = 3.6737215194093271616345430044404 y[1] (numeric) = 3.6737215194093271616345430044394 absolute error = 1.0e-30 relative error = 2.7220353930386733210353368022402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.434 y[1] (analytic) = 3.6740711333090054254774601829307 y[1] (numeric) = 3.6740711333090054254774601829298 absolute error = 9e-31 relative error = 2.4495987348764977492558633133080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.435 y[1] (analytic) = 3.6744215071374870529115052145606 y[1] (numeric) = 3.6744215071374870529115052145597 absolute error = 9e-31 relative error = 2.4493651538120185522575785143907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.436 y[1] (analytic) = 3.6747726415443981613195381766043 y[1] (numeric) = 3.6747726415443981613195381766034 absolute error = 9e-31 relative error = 2.4491311103855302504620008792977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.437 y[1] (analytic) = 3.6751245371786042897183197060257 y[1] (numeric) = 3.6751245371786042897183197060248 absolute error = 9e-31 relative error = 2.4488966044425004369232732422887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.438 y[1] (analytic) = 3.6754771946882097498930260548438 y[1] (numeric) = 3.6754771946882097498930260548429 absolute error = 9e-31 relative error = 2.4486616358297031479371470015225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.439 y[1] (analytic) = 3.6758306147205569782929913136475 y[1] (numeric) = 3.6758306147205569782929913136466 absolute error = 9e-31 relative error = 2.4484262043952195596430719172585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = 3.6761847979222258886893249074626 y[1] (numeric) = 3.6761847979222258886893249074617 absolute error = 9e-31 relative error = 2.4481903099884386785059429946545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.441 y[1] (analytic) = 3.6765397449390332255950517063003 y[1] (numeric) = 3.6765397449390332255950517062994 absolute error = 9e-31 relative error = 2.4479539524600580256676468698918e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.442 y[1] (analytic) = 3.6768954564160319184484213301924 y[1] (numeric) = 3.6768954564160319184484213301915 absolute error = 9e-31 relative error = 2.4477171316620843151586075343591e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.443 y[1] (analytic) = 3.6772519329975104365600324653506 y[1] (numeric) = 3.6772519329975104365600324653497 absolute error = 9e-31 relative error = 2.4474798474478341259595888141874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.444 y[1] (analytic) = 3.6776091753269921448244172442719 y[1] (numeric) = 3.677609175326992144824417244271 absolute error = 9e-31 relative error = 2.4472420996719345679040687707485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.445 y[1] (analytic) = 3.6779671840472346601967299781519 y[1] (numeric) = 3.677967184047234660196729978151 absolute error = 9e-31 relative error = 2.4470038881903239414115591010331e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.446 y[1] (analytic) = 3.6783259598002292089351837648632 y[1] (numeric) = 3.6783259598002292089351837648623 absolute error = 9e-31 relative error = 2.4467652128602523910423006943026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.447 y[1] (analytic) = 3.6786855032271999846098777300096 y[1] (numeric) = 3.6786855032271999846098777300086 absolute error = 1.0e-30 relative error = 2.7183623039336472809598052691806e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.448 y[1] (analytic) = 3.6790458149686035068786568921743 y[1] (numeric) = 3.6790458149686035068786568921733 absolute error = 1.0e-30 relative error = 2.7180960778781002173554746704849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.449 y[1] (analytic) = 3.6794068956641279810306458764501 y[1] (numeric) = 3.6794068956641279810306458764492 absolute error = 9e-31 relative error = 2.4460464023714648556926629876140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.45 y[1] (analytic) = 3.6797687459526926582980969326635 y[1] (numeric) = 3.6797687459526926582980969326626 absolute error = 9e-31 relative error = 2.4458058702463104658480249523906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.451 y[1] (analytic) = 3.6801313664724471969371919463912 y[1] (numeric) = 3.6801313664724471969371919463903 absolute error = 9e-31 relative error = 2.4455648735786459777560316901028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.452 y[1] (analytic) = 3.6804947578607710240784373619149 y[1] (numeric) = 3.680494757860771024078437361914 absolute error = 9e-31 relative error = 2.4453234122336059782760071290553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.453 y[1] (analytic) = 3.6808589207542726983472901666654 y[1] (numeric) = 3.6808589207542726983472901666645 absolute error = 9e-31 relative error = 2.4450814860776412994978941770311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.454 y[1] (analytic) = 3.6812238557887892732556523164768 y[1] (numeric) = 3.6812238557887892732556523164759 absolute error = 9e-31 relative error = 2.4448390949785196225305039968246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.455 y[1] (analytic) = 3.6815895635993856613648702101043 y[1] (numeric) = 3.6815895635993856613648702101034 absolute error = 9e-31 relative error = 2.4445962388053260750276620221193e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.456 y[1] (analytic) = 3.6819560448203539992208750499517 y[1] (numeric) = 3.6819560448203539992208750499508 absolute error = 9e-31 relative error = 2.4443529174284638224432714966152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.4MB, time=15.19 x[1] = 2.457 y[1] (analytic) = 3.6823233000852130130620991538166 y[1] (numeric) = 3.6823233000852130130620991538157 absolute error = 9e-31 relative error = 2.4441091307196546530063751490383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.458 y[1] (analytic) = 3.6826913300267073853008025096836 y[1] (numeric) = 3.6826913300267073853008025096828 absolute error = 8e-31 relative error = 2.1723243364906129390287605339675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.459 y[1] (analytic) = 3.6830601352768071217784430921862 y[1] (numeric) = 3.6830601352768071217784430921854 absolute error = 8e-31 relative error = 2.1721068095997149299435335465676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (analytic) = 3.6834297164667069197957236853138 y[1] (numeric) = 3.683429716466706919795723685313 absolute error = 8e-31 relative error = 2.1718888687453822007253480774416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.461 y[1] (analytic) = 3.6838000742268255369179471812656 y[1] (numeric) = 3.6838000742268255369179471812649 absolute error = 7e-31 relative error = 1.9002116995909977988079347028275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.462 y[1] (analytic) = 3.6841712091868051605563115500426 y[1] (numeric) = 3.6841712091868051605563115500418 absolute error = 8e-31 relative error = 2.1714517447102609959593538680915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.463 y[1] (analytic) = 3.6845431219755107783257748984294 y[1] (numeric) = 3.6845431219755107783257748984287 absolute error = 7e-31 relative error = 1.8998284911500420542676938119001e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.464 y[1] (analytic) = 3.684915813221029549180120260451 y[1] (numeric) = 3.6849158132210295491801202604503 absolute error = 7e-31 relative error = 1.8996363430841084008998354986851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.465 y[1] (analytic) = 3.6852892835506701753248489841838 y[1] (numeric) = 3.6852892835506701753248489841831 absolute error = 7e-31 relative error = 1.8994438323321260237225087073164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.466 y[1] (analytic) = 3.6856635335909622749085308019782 y[1] (numeric) = 3.6856635335909622749085308019775 absolute error = 7e-31 relative error = 1.8992509588035730044930371513596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.467 y[1] (analytic) = 3.6860385639676557554932378926882 y[1] (numeric) = 3.6860385639676557554932378926875 absolute error = 7e-31 relative error = 1.8990577224089573001293347499594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.468 y[1] (analytic) = 3.6864143753057201883046894654236 y[1] (numeric) = 3.6864143753057201883046894654228 absolute error = 8e-31 relative error = 2.1701304263540767354481943246999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.469 y[1] (analytic) = 3.6867909682293441832627326146261 y[1] (numeric) = 3.6867909682293441832627326146253 absolute error = 8e-31 relative error = 2.1699087550499673592610396975181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = 3.6871683433619347647927844159384 y[1] (numeric) = 3.6871683433619347647927844159377 absolute error = 7e-31 relative error = 1.8984758351492701550189198794412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.471 y[1] (analytic) = 3.6875465013261167484188594513709 y[1] (numeric) = 3.6875465013261167484188594513701 absolute error = 8e-31 relative error = 2.1694641673326796645426866992004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.472 y[1] (analytic) = 3.6879254427437321181388061706859 y[1] (numeric) = 3.6879254427437321181388061706851 absolute error = 8e-31 relative error = 2.1692412507255523876298071360850e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.473 y[1] (analytic) = 3.6883051682358394045823747137136 y[1] (numeric) = 3.6883051682358394045823747137128 absolute error = 8e-31 relative error = 2.1690179188254360045664495848266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.474 y[1] (analytic) = 3.6886856784227130639527380354774 y[1] (numeric) = 3.6886856784227130639527380354766 absolute error = 8e-31 relative error = 2.1687941715383054036045743018895e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.475 y[1] (analytic) = 3.6890669739238428577520873925573 y[1] (numeric) = 3.6890669739238428577520873925565 absolute error = 8e-31 relative error = 2.1685700087713159784538393153592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.476 y[1] (analytic) = 3.6894490553579332332919224650436 y[1] (numeric) = 3.6894490553579332332919224650428 absolute error = 8e-31 relative error = 2.1683454304328040407625092189588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.477 y[1] (analytic) = 3.6898319233429027049886556037396 y[1] (numeric) = 3.6898319233429027049886556037388 absolute error = 8e-31 relative error = 2.1681204364322872268689470541883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.478 y[1] (analytic) = 3.6902155784958832364451489069571 y[1] (numeric) = 3.6902155784958832364451489069563 absolute error = 8e-31 relative error = 2.1678950266804648988169082588122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.479 y[1] (analytic) = 3.6906000214332196233188020453161 y[1] (numeric) = 3.6906000214332196233188020453153 absolute error = 8e-31 relative error = 2.1676692010892185396279116804410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (analytic) = 3.6909852527704688769768079664097 y[1] (numeric) = 3.6909852527704688769768079664089 absolute error = 8e-31 relative error = 2.1674429595716121428240187943082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.481 y[1] (analytic) = 3.6913712731223996089391928240271 y[1] (numeric) = 3.6913712731223996089391928240263 absolute error = 8e-31 relative error = 2.1672163020418925961944085237116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.482 y[1] (analytic) = 3.6917580831029914161102556888434 y[1] (numeric) = 3.6917580831029914161102556888427 absolute error = 7e-31 relative error = 1.8961155748635538023242925092481e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.483 y[1] (analytic) = 3.6921456833254342667990228090854 y[1] (numeric) = 3.6921456833254342667990228090847 absolute error = 7e-31 relative error = 1.8959165212828910459284681561368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.484 y[1] (analytic) = 3.6925340744021278875293304006672 y[1] (numeric) = 3.6925340744021278875293304006665 absolute error = 7e-31 relative error = 1.8957171034727408410713248490794e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.4MB, time=15.38 x[1] = 2.485 y[1] (analytic) = 3.6929232569446811506401491566634 y[1] (numeric) = 3.6929232569446811506401491566626 absolute error = 8e-31 relative error = 2.1663055101282429731742998710284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.486 y[1] (analytic) = 3.6933132315639114626767628757421 y[1] (numeric) = 3.6933132315639114626767628757413 absolute error = 8e-31 relative error = 2.1660767712930884306113581644871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.487 y[1] (analytic) = 3.6937039988698441535734128183306 y[1] (numeric) = 3.6937039988698441535734128183298 absolute error = 8e-31 relative error = 2.1658476159561636085733843351762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.488 y[1] (analytic) = 3.6940955594717118666280186078162 y[1] (numeric) = 3.6940955594717118666280186078154 absolute error = 8e-31 relative error = 2.1656180440400059152997590883282e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.489 y[1] (analytic) = 3.694487913977953949269585702012 y[1] (numeric) = 3.6944879139779539492695857020112 absolute error = 8e-31 relative error = 2.1653880554683385154313670765292e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (analytic) = 3.6948810629962158446189086674284 y[1] (numeric) = 3.6948810629962158446189086674277 absolute error = 7e-31 relative error = 1.8945129438953118289727174977533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.491 y[1] (analytic) = 3.6952750071333484838431786955978 y[1] (numeric) = 3.695275007133348483843178695597 absolute error = 8e-31 relative error = 2.1649268280592980206971834169492e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.492 y[1] (analytic) = 3.6956697469954076793051030067916 y[1] (numeric) = 3.6956697469954076793051030067909 absolute error = 7e-31 relative error = 1.8941086404408901189373185372896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.493 y[1] (analytic) = 3.6960652831876535185071429919635 y[1] (numeric) = 3.6960652831876535185071429919628 absolute error = 7e-31 relative error = 1.8939059414997356491108253197228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.494 y[1] (analytic) = 3.6964616163145497588314771486261 y[1] (numeric) = 3.6964616163145497588314771486254 absolute error = 7e-31 relative error = 1.8937028776668720632351376535503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.495 y[1] (analytic) = 3.696858746979763223076294070651 y[1] (numeric) = 3.6968587469797632230762940706503 absolute error = 7e-31 relative error = 1.8934994488817882675656855081354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.496 y[1] (analytic) = 3.6972566757861631957890199556471 y[1] (numeric) = 3.6972566757861631957890199556463 absolute error = 8e-31 relative error = 2.1637664629543001481071755284462e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.497 y[1] (analytic) = 3.6976554033358208203970842966393 y[1] (numeric) = 3.6976554033358208203970842966385 absolute error = 8e-31 relative error = 2.1635331385349865514390395948521e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.498 y[1] (analytic) = 3.6980549302300084971368266272334 y[1] (numeric) = 3.6980549302300084971368266272326 absolute error = 8e-31 relative error = 2.1632993968270835708973092454310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.499 y[1] (analytic) = 3.6984552570691992817811463913075 y[1] (numeric) = 3.6984552570691992817811463913067 absolute error = 8e-31 relative error = 2.1630652377661892150073981699565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = 3.6988563844530662851664972095326 y[1] (numeric) = 3.6988563844530662851664972095319 absolute error = 7e-31 relative error = 1.8924768286279542540600189487896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.501 y[1] (analytic) = 3.6992583129804820735198260156767 y[1] (numeric) = 3.699258312980482073519826015676 absolute error = 7e-31 relative error = 1.8922712089170435853086079968060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.502 y[1] (analytic) = 3.6996610432495180695860567357028 y[1] (numeric) = 3.6996610432495180695860567357021 absolute error = 7e-31 relative error = 1.8920652238594538558681898085595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.503 y[1] (analytic) = 3.7000645758574439545567173821292 y[1] (numeric) = 3.7000645758574439545567173821285 absolute error = 7e-31 relative error = 1.8918588734029964993586952537938e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.504 y[1] (analytic) = 3.7004689114007270708003086349728 y[1] (numeric) = 3.700468911400727070800308634972 absolute error = 8e-31 relative error = 2.1618881799960277742845172629194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.505 y[1] (analytic) = 3.7008740504750318253950111788587 y[1] (numeric) = 3.700874050475031825395011178858 absolute error = 7e-31 relative error = 1.8914450760899316184160857811213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.506 y[1] (analytic) = 3.7012799936752190944643282635388 y[1] (numeric) = 3.7012799936752190944643282635381 absolute error = 7e-31 relative error = 1.8912376291341545747898713641790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.507 y[1] (analytic) = 3.7016867415953456283162591521262 y[1] (numeric) = 3.7016867415953456283162591521255 absolute error = 7e-31 relative error = 1.8910298165811712768275823928733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.508 y[1] (analytic) = 3.7020942948286634573865983178236 y[1] (numeric) = 3.7020942948286634573865983178228 absolute error = 8e-31 relative error = 2.1609390152960022915027413601072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.509 y[1] (analytic) = 3.7025026539676192989869544457962 y[1] (numeric) = 3.7025026539676192989869544457954 absolute error = 8e-31 relative error = 2.1607006794248107519868746559373e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = 3.7029118196038539648580824921216 y[1] (numeric) = 3.7029118196038539648580824921208 absolute error = 8e-31 relative error = 2.1604619255707413594012945395714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.511 y[1] (analytic) = 3.7033217923282017695291212464338 y[1] (numeric) = 3.703321792328201769529121246433 absolute error = 8e-31 relative error = 2.1602227536836774754852159577378e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.512 y[1] (analytic) = 3.7037325727306899394833280389756 y[1] (numeric) = 3.7037325727306899394833280389748 absolute error = 8e-31 relative error = 2.1599831637146943644991392576877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.513 memory used=324.2MB, alloc=4.4MB, time=15.56 y[1] (analytic) = 3.7041441614005380231309014262756 y[1] (numeric) = 3.7041441614005380231309014262748 absolute error = 8e-31 relative error = 2.1597431556160593896440006200834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.514 y[1] (analytic) = 3.7045565589261573015894818825765 y[1] (numeric) = 3.7045565589261573015894818825757 absolute error = 8e-31 relative error = 2.1595027293412322035381928538060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.515 y[1] (analytic) = 3.7049697658951502002729197164668 y[1] (numeric) = 3.704969765895150200272919716466 absolute error = 8e-31 relative error = 2.1592618848448649327478215048506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.516 y[1] (analytic) = 3.7053837828943097012888986238975 y[1] (numeric) = 3.7053837828943097012888986238967 absolute error = 8e-31 relative error = 2.1590206220828023563656211146958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.517 y[1] (analytic) = 3.7057986105096187566460024799121 y[1] (numeric) = 3.7057986105096187566460024799112 absolute error = 9e-31 relative error = 2.4286263086385923384632684884948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.518 y[1] (analytic) = 3.7062142493262497022708121619733 y[1] (numeric) = 3.7062142493262497022708121619724 absolute error = 9e-31 relative error = 2.4283539467898015325588576385070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.519 y[1] (analytic) = 3.7066306999285636728356183877425 y[1] (numeric) = 3.7066306999285636728356183877416 absolute error = 9e-31 relative error = 2.4280811142511319503341134336304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = 3.7070479629001100173973357395482 y[1] (numeric) = 3.7070479629001100173973357395473 absolute error = 9e-31 relative error = 2.4278078109782777795694877467963e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.521 y[1] (analytic) = 3.7074660388236257158482022365822 y[1] (numeric) = 3.7074660388236257158482022365814 absolute error = 8e-31 relative error = 2.1578080328251340853689022705513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.522 y[1] (analytic) = 3.7078849282810347961788480040756 y[1] (numeric) = 3.7078849282810347961788480040747 absolute error = 9e-31 relative error = 2.4272597920595057741407458817775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.523 y[1] (analytic) = 3.708304631853447752554315776335 y[1] (numeric) = 3.7083046318534477525543157763341 absolute error = 9e-31 relative error = 2.4269850763316901407827879516644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.524 y[1] (analytic) = 3.7087251501211609642036151575735 y[1] (numeric) = 3.7087251501211609642036151575727 absolute error = 8e-31 relative error = 2.1570754575163507756047558916803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.525 y[1] (analytic) = 3.7091464836636561151233917509309 y[1] (numeric) = 3.7091464836636561151233917509301 absolute error = 8e-31 relative error = 2.1568304285729138987993373042125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.526 y[1] (analytic) = 3.7095686330595996145962914519666 y[1] (numeric) = 3.7095686330595996145962914519658 absolute error = 8e-31 relative error = 2.1565849809878604195888382126893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.527 y[1] (analytic) = 3.7099915988868420185245993882131 y[1] (numeric) = 3.7099915988868420185245993882123 absolute error = 8e-31 relative error = 2.1563391147301643745849672730725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.528 y[1] (analytic) = 3.7104153817224174515797321711021 y[1] (numeric) = 3.7104153817224174515797321711013 absolute error = 8e-31 relative error = 2.1560928297699941300853042003274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.529 y[1] (analytic) = 3.7108399821425430301681613107234 y[1] (numeric) = 3.7108399821425430301681613107226 absolute error = 8e-31 relative error = 2.1558461260787124828958599902004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (analytic) = 3.711265400722618286214344827445 y[1] (numeric) = 3.7112654007226182862143448274442 absolute error = 8e-31 relative error = 2.1555990036288767551445800137653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.531 y[1] (analytic) = 3.7116916380372245917612432774141 y[1] (numeric) = 3.7116916380372245917612432774133 absolute error = 8e-31 relative error = 2.1553514623942388830821230428972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.532 y[1] (analytic) = 3.7121186946601245843889955913762 y[1] (numeric) = 3.7121186946601245843889955913754 absolute error = 8e-31 relative error = 2.1551035023497454998663104353908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.533 y[1] (analytic) = 3.7125465711642615934523293080878 y[1] (numeric) = 3.712546571164261593452329308087 absolute error = 8e-31 relative error = 2.1548551234715380123267009514117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.534 y[1] (analytic) = 3.7129752681217590671372789648646 y[1] (numeric) = 3.7129752681217590671372789648637 absolute error = 9e-31 relative error = 2.4239321164540717556690339858277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.535 y[1] (analytic) = 3.7134047861039200003377855884991 y[1] (numeric) = 3.7134047861039200003377855884982 absolute error = 9e-31 relative error = 2.4236517477650857181702295733057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.536 y[1] (analytic) = 3.7138351256812263633527494099015 y[1] (numeric) = 3.7138351256812263633527494099006 absolute error = 9e-31 relative error = 2.4233709078157140455754212268053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.537 y[1] (analytic) = 3.7142662874233385314041071053615 y[1] (numeric) = 3.7142662874233385314041071053606 absolute error = 9e-31 relative error = 2.4230895965844930301092734712552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.538 y[1] (analytic) = 3.7146982718990947149765040463084 y[1] (numeric) = 3.7146982718990947149765040463075 absolute error = 9e-31 relative error = 2.4228078140513034144577759008525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.539 y[1] (analytic) = 3.715131079676510390979131217848 y[1] (numeric) = 3.7151310796765103909791312178471 absolute error = 9e-31 relative error = 2.4225255601973704374143666779587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (analytic) = 3.7155647113227777347302956441934 y[1] (numeric) = 3.7155647113227777347302956441926 absolute error = 8e-31 relative error = 2.1531047422269012202024177572077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.541 y[1] (analytic) = 3.715999167404265052765292336371 y[1] (numeric) = 3.7159991674042650527652923363702 absolute error = 8e-31 relative error = 2.1528530119634649432424566825074e-29 % Correct digits = 30 h = 0.001 memory used=328.0MB, alloc=4.4MB, time=15.74 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.542 y[1] (analytic) = 3.7164344484865162164681449542825 y[1] (numeric) = 3.7164344484865162164681449542817 absolute error = 8e-31 relative error = 2.1526008627053617205925012619317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.543 y[1] (analytic) = 3.7168705551342500965277815513359 y[1] (numeric) = 3.7168705551342500965277815513351 absolute error = 8e-31 relative error = 2.1523482944406835910673602244237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.544 y[1] (analytic) = 3.7173074879113599982192109454216 y[1] (numeric) = 3.7173074879113599982192109454208 absolute error = 8e-31 relative error = 2.1520953071587178132999732397625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.545 y[1] (analytic) = 3.7177452473809130975102644350111 y[1] (numeric) = 3.7177452473809130975102644350102 absolute error = 9e-31 relative error = 2.4208221384561902287650830908044e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.546 y[1] (analytic) = 3.7181838341051498779944667535882 y[1] (numeric) = 3.7181838341051498779944667535874 absolute error = 8e-31 relative error = 2.1515880755060484662325035224474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.547 y[1] (analytic) = 3.7186232486454835686505993294971 y[1] (numeric) = 3.7186232486454835686505993294963 absolute error = 8e-31 relative error = 2.1513338311198955214324965826674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.548 y[1] (analytic) = 3.7190634915624995824295180915945 y[1] (numeric) = 3.7190634915624995824295180915937 absolute error = 8e-31 relative error = 2.1510791676855561556219851413266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.549 y[1] (analytic) = 3.7195045634159549556687872338436 y[1] (numeric) = 3.7195045634159549556687872338427 absolute error = 9e-31 relative error = 2.4196770958480803780274141547798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = 3.7199464647647777883356895241677 y[1] (numeric) = 3.7199464647647777883356895241668 absolute error = 9e-31 relative error = 2.4193896566113873323996578510201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.551 y[1] (analytic) = 3.7203891961670666850991729145081 y[1] (numeric) = 3.7203891961670666850991729145072 absolute error = 9e-31 relative error = 2.4191017459335318127800689482114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.552 y[1] (analytic) = 3.7208327581800901972312923800909 y[1] (numeric) = 3.7208327581800901972312923800901 absolute error = 8e-31 relative error = 2.1500563233895276119428296594947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.553 y[1] (analytic) = 3.7212771513602862653387050864172 y[1] (numeric) = 3.7212771513602862653387050864164 absolute error = 8e-31 relative error = 2.1497995646671082208838450375922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.554 y[1] (analytic) = 3.7217223762632616629247761524322 y[1] (numeric) = 3.7217223762632616629247761524314 absolute error = 8e-31 relative error = 2.1495423868860087958105923970278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.555 y[1] (analytic) = 3.7221684334437914407828514477231 y[1] (numeric) = 3.7221684334437914407828514477223 absolute error = 8e-31 relative error = 2.1492847900486629607531345922609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.556 y[1] (analytic) = 3.7226153234558183722212530304262 y[1] (numeric) = 3.7226153234558183722212530304254 absolute error = 8e-31 relative error = 2.1490267741586992102818170691987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.557 y[1] (analytic) = 3.7230630468524523991205520008008 y[1] (numeric) = 3.7230630468524523991205520008 absolute error = 8e-31 relative error = 2.1487683392209408408919070629657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.558 y[1] (analytic) = 3.7235116041859700788236727131519 y[1] (numeric) = 3.723511604185970078823672713151 absolute error = 9e-31 relative error = 2.4170731708965816108373213414968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.559 y[1] (analytic) = 3.7239609960078140318593814559504 y[1] (numeric) = 3.7239609960078140318593814559495 absolute error = 9e-31 relative error = 2.4167814887557203599802954153065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = 3.7244112228685923904997118766176 y[1] (numeric) = 3.7244112228685923904997118766167 absolute error = 9e-31 relative error = 2.4164893352104328268272279890277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.561 y[1] (analytic) = 3.7248622853180782481518785935004 y[1] (numeric) = 3.7248622853180782481518785934996 absolute error = 8e-31 relative error = 2.1477304091302408174699364820153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.562 y[1] (analytic) = 3.7253141839052091095852296030802 y[1] (numeric) = 3.7253141839052091095852296030794 absolute error = 8e-31 relative error = 2.1474698790676712979158817351098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.563 y[1] (analytic) = 3.725766919178086341993787255415 y[1] (numeric) = 3.7257669191780863419937872554142 absolute error = 8e-31 relative error = 2.1472089300113331690027514890933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.564 y[1] (analytic) = 3.7262204916839746268949267352295 y[1] (numeric) = 3.7262204916839746268949267352287 absolute error = 8e-31 relative error = 2.1469475619744109078100122834126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.565 y[1] (analytic) = 3.7266749019693014128647401499289 y[1] (numeric) = 3.7266749019693014128647401499281 absolute error = 8e-31 relative error = 2.1466857749712830250828728581486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.566 y[1] (analytic) = 3.7271301505796563691106334891255 y[1] (numeric) = 3.7271301505796563691106334891247 absolute error = 8e-31 relative error = 2.1464235690175219417572031943348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.567 y[1] (analytic) = 3.7275862380597908398817028830372 y[1] (numeric) = 3.7275862380597908398817028830364 absolute error = 8e-31 relative error = 2.1461609441298938593809577288351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.568 y[1] (analytic) = 3.7280431649536172997174357493354 y[1] (numeric) = 3.7280431649536172997174357493345 absolute error = 9e-31 relative error = 2.4141351378671534524845822445500e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.569 y[1] (analytic) = 3.7285009318042088095352815796951 y[1] (numeric) = 3.7285009318042088095352815796942 absolute error = 9e-31 relative error = 2.4138387423293282848374832816040e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=331.8MB, alloc=4.4MB, time=15.92 TOP MAIN SOLVE Loop x[1] = 2.57 y[1] (analytic) = 3.7289595391537984735576362784329 y[1] (numeric) = 3.728959539153798473557636278432 absolute error = 9e-31 relative error = 2.4135418755555451318272194915107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.571 y[1] (analytic) = 3.7294189875437788970787831262012 y[1] (numeric) = 3.7294189875437788970787831262003 absolute error = 9e-31 relative error = 2.4132445375700363878098011098663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.572 y[1] (analytic) = 3.7298792775147016450723326017539 y[1] (numeric) = 3.7298792775147016450723326017531 absolute error = 8e-31 relative error = 2.1448415363541125496912614953474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.573 y[1] (analytic) = 3.7303404096062767016397024542985 y[1] (numeric) = 3.7303404096062767016397024542977 absolute error = 8e-31 relative error = 2.1445763982822065542048795252198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.574 y[1] (analytic) = 3.7308023843573719303001785779084 y[1] (numeric) = 3.7308023843573719303001785779076 absolute error = 8e-31 relative error = 2.1443108414272106607069107074671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.575 y[1] (analytic) = 3.7312652023060125351230963978912 y[1] (numeric) = 3.7312652023060125351230963978903 absolute error = 9e-31 relative error = 2.4120504740423654077197993120032e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.576 y[1] (analytic) = 3.7317288639893805227026816368849 y[1] (numeric) = 3.7317288639893805227026816368841 absolute error = 8e-31 relative error = 2.1437784714743857143229744842477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.577 y[1] (analytic) = 3.7321933699438141649760884857987 y[1] (numeric) = 3.7321933699438141649760884857979 absolute error = 8e-31 relative error = 2.1435116584327555869412344445230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.578 y[1] (analytic) = 3.7326587207048074628851723615128 y[1] (numeric) = 3.7326587207048074628851723615119 absolute error = 9e-31 relative error = 2.4111499800604871532208907974429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.579 y[1] (analytic) = 3.7331249168070096108825335895213 y[1] (numeric) = 3.7331249168070096108825335895205 absolute error = 8e-31 relative error = 2.1429767763684972671759781041897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = 3.7335919587842244622823675054308 y[1] (numeric) = 3.73359195878422446228236750543 absolute error = 8e-31 relative error = 2.1427087074092190917731397233040e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.581 y[1] (analytic) = 3.7340598471694099954566556244171 y[1] (numeric) = 3.7340598471694099954566556244163 absolute error = 8e-31 relative error = 2.1424402198760606024332529387921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.582 y[1] (analytic) = 3.7345285824946777808772316824077 y[1] (numeric) = 3.7345285824946777808772316824069 absolute error = 8e-31 relative error = 2.1421713138036750064505823472511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.583 y[1] (analytic) = 3.7349981652912924490042555068772 y[1] (numeric) = 3.7349981652912924490042555068764 absolute error = 8e-31 relative error = 2.1419019892279063874803045989188e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.584 y[1] (analytic) = 3.7354685960896711590216268287384 y[1] (numeric) = 3.7354685960896711590216268287377 absolute error = 7e-31 relative error = 1.8739282154125657880381833728151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.585 y[1] (analytic) = 3.7359398754193830684198702998716 y[1] (numeric) = 3.7359398754193830684198702998708 absolute error = 8e-31 relative error = 2.1413620847155493899146389899834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.586 y[1] (analytic) = 3.7364120038091488034270221333607 y[1] (numeric) = 3.73641200380914880342702213336 absolute error = 7e-31 relative error = 1.8734550667495262498398865556707e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.587 y[1] (analytic) = 3.7368849817868399302880479355087 y[1] (numeric) = 3.7368849817868399302880479355079 absolute error = 8e-31 relative error = 2.1408205066495507804307889673737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.588 y[1] (analytic) = 3.7373588098794784273933204501668 y[1] (numeric) = 3.7373588098794784273933204501661 absolute error = 7e-31 relative error = 1.8729804538691682508701605181246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.589 y[1] (analytic) = 3.7378334886132361582566850868594 y[1] (numeric) = 3.7378334886132361582566850868587 absolute error = 7e-31 relative error = 1.8727425984395714000648054932595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = 3.7383090185134343453436402545917 y[1] (numeric) = 3.738309018513434345343640254591 absolute error = 7e-31 relative error = 1.8725043770682180509366544196803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.591 y[1] (analytic) = 3.7387854001045430447501586731188 y[1] (numeric) = 3.7387854001045430447501586731182 absolute error = 6e-31 relative error = 1.6047992483955429483489380667177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.592 y[1] (analytic) = 3.7392626339101806217326749828096 y[1] (numeric) = 3.739262633910180621732674982809 absolute error = 6e-31 relative error = 1.6045944314228995326038435001618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.593 y[1] (analytic) = 3.739740720453113227089764123074 y[1] (numeric) = 3.7397407204531132270897641230734 absolute error = 6e-31 relative error = 1.6043893008906323287474204930408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.594 y[1] (analytic) = 3.740219660255254274396034097633 y[1] (numeric) = 3.7402196602552542743960340976324 absolute error = 6e-31 relative error = 1.6041838568354365619332740464584e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.595 y[1] (analytic) = 3.7406994538376639180887558926932 y[1] (numeric) = 3.7406994538376639180887558926926 absolute error = 6e-31 relative error = 1.6039780992948982102615555999649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.596 y[1] (analytic) = 3.7411801017205485324077524613544 y[1] (numeric) = 3.7411801017205485324077524613538 absolute error = 6e-31 relative error = 1.6037720283074937745923905533263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.597 y[1] (analytic) = 3.7416616044232601911890678343158 y[1] (numeric) = 3.7416616044232601911890678343152 absolute error = 6e-31 relative error = 1.6035656439125900437717233146375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=335.7MB, alloc=4.4MB, time=16.11 TOP MAIN SOLVE Loop x[1] = 2.598 y[1] (analytic) = 3.7421439624642961485129365631707 y[1] (numeric) = 3.74214396246429614851293656317 absolute error = 7e-31 relative error = 1.8705854371755178311483195166906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.599 y[1] (analytic) = 3.7426271763612983202065728482742 y[1] (numeric) = 3.7426271763612983202065728482736 absolute error = 6e-31 relative error = 1.6031519350622018512340620363748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = 3.7431112466310527662022978483548 y[1] (numeric) = 3.7431112466310527662022978483542 absolute error = 6e-31 relative error = 1.6029446106899002299530033914065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.601 y[1] (analytic) = 3.743596173789489173751522813696 y[1] (numeric) = 3.7435961737894891737515228136954 absolute error = 6e-31 relative error = 1.6027369730764644927381288308212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.602 y[1] (analytic) = 3.7440819583516803414951048288647 y[1] (numeric) = 3.7440819583516803414951048288641 absolute error = 6e-31 relative error = 1.6025290222657091862180274803334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.603 y[1] (analytic) = 3.7445686008318416643905910945857 y[1] (numeric) = 3.7445686008318416643905910945851 absolute error = 6e-31 relative error = 1.6023207583023376400491606492532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.604 y[1] (analytic) = 3.7450561017433306194968668214762 y[1] (numeric) = 3.7450561017433306194968668214755 absolute error = 7e-31 relative error = 1.8691308781039319833831994107507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.605 y[1] (analytic) = 3.7455444615986462526167209509484 y[1] (numeric) = 3.7455444615986462526167209509477 absolute error = 7e-31 relative error = 1.8688871729511683661600847845495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.606 y[1] (analytic) = 3.7460336809094286657978430606736 y[1] (numeric) = 3.7460336809094286657978430606729 absolute error = 7e-31 relative error = 1.8686431026163657974199678080317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.607 y[1] (analytic) = 3.7465237601864585056927639535661 y[1] (numeric) = 3.7465237601864585056927639535654 absolute error = 7e-31 relative error = 1.8683986671558226489090178516158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.608 y[1] (analytic) = 3.7470146999396564527782515703046 y[1] (numeric) = 3.747014699939656452778251570304 absolute error = 6e-31 relative error = 1.6012747428230336534464449268590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.609 y[1] (analytic) = 3.7475065006780827114346730059535 y[1] (numeric) = 3.7475065006780827114346730059529 absolute error = 6e-31 relative error = 1.6010646009324722383317111081426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = 3.7479991629099365008858325512774 y[1] (numeric) = 3.7479991629099365008858325512768 absolute error = 6e-31 relative error = 1.6008541462270808212506086893620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.611 y[1] (analytic) = 3.7484926871425555469997948188707 y[1] (numeric) = 3.7484926871425555469997948188701 absolute error = 6e-31 relative error = 1.6006433787586630037860492793654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.612 y[1] (analytic) = 3.7489870738824155749512011532354 y[1] (numeric) = 3.7489870738824155749512011532349 absolute error = 5e-31 relative error = 1.3336935821499238364800965880451e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.613 y[1] (analytic) = 3.749482323635129802745586662449 y[1] (numeric) = 3.7494823236351298027455866624484 absolute error = 6e-31 relative error = 1.6002209057443933472266697832544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.614 y[1] (analytic) = 3.749978436905448435606204347062 y[1] (numeric) = 3.7499784369054484356062043470614 absolute error = 6e-31 relative error = 1.6000092003065785556498262471655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.615 y[1] (analytic) = 3.7504754141972581612238619393616 y[1] (numeric) = 3.750475414197258161223861939361 absolute error = 6e-31 relative error = 1.5997971823218108288295218740222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.616 y[1] (analytic) = 3.7509732560135816458702762031193 y[1] (numeric) = 3.7509732560135816458702762031187 absolute error = 6e-31 relative error = 1.5995848518463217230154426439265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.617 y[1] (analytic) = 3.7514719628565770313754485804283 y[1] (numeric) = 3.7514719628565770313754485804277 absolute error = 6e-31 relative error = 1.5993722089372274245466308090958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.618 y[1] (analytic) = 3.7519715352275374329695652082127 y[1] (numeric) = 3.7519715352275374329695652082121 absolute error = 6e-31 relative error = 1.5991592536525284189061359412798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.619 y[1] (analytic) = 3.7524719736268904379899234624661 y[1] (numeric) = 3.7524719736268904379899234624655 absolute error = 6e-31 relative error = 1.5989459860511091552081234240171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (analytic) = 3.7529732785541976054533863232516 y[1] (numeric) = 3.7529732785541976054533863232511 absolute error = 5e-31 relative error = 1.3322770051606147550990845316309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.621 y[1] (analytic) = 3.7534754505081539664948649879679 y[1] (numeric) = 3.7534754505081539664948649879674 absolute error = 5e-31 relative error = 1.3320987617817211860111460474055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.622 y[1] (analytic) = 3.7539784899865875256723292943553 y[1] (numeric) = 3.7539784899865875256723292943548 absolute error = 5e-31 relative error = 1.3319202582905221564737378566510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.623 y[1] (analytic) = 3.7544823974864587631388446481919 y[1] (numeric) = 3.7544823974864587631388446481914 absolute error = 5e-31 relative error = 1.3317414947390317141626951261455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.624 y[1] (analytic) = 3.7549871735038601376821332836003 y[1] (numeric) = 3.7549871735038601376821332835998 absolute error = 5e-31 relative error = 1.3315624711799990880924599171804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.625 y[1] (analytic) = 3.7554928185340155906321568163618 y[1] (numeric) = 3.7554928185340155906321568163613 absolute error = 5e-31 relative error = 1.3313831876669083862112533634962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.4MB, time=16.30 x[1] = 2.626 y[1] (analytic) = 3.7559993330712800506372161826155 y[1] (numeric) = 3.755999333071280050637216182615 absolute error = 5e-31 relative error = 1.3312036442539782891993207152073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.627 y[1] (analytic) = 3.7565067176091389393090641868001 y[1] (numeric) = 3.7565067176091389393090641867995 absolute error = 6e-31 relative error = 1.5972286091953940885660942210873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.628 y[1] (analytic) = 3.7570149726402076777375250136844 y[1] (numeric) = 3.7570149726402076777375250136838 absolute error = 6e-31 relative error = 1.5970125335389747588648394904541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.629 y[1] (analytic) = 3.7575240986562311938751141898274 y[1] (numeric) = 3.7575240986562311938751141898268 absolute error = 6e-31 relative error = 1.5967961462032205863984532637165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = 3.7580340961480834307921516098051 y[1] (numeric) = 3.7580340961480834307921516098045 absolute error = 6e-31 relative error = 1.5965794472567161716134648926945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.631 y[1] (analytic) = 3.7585449656057668558028593720512 y[1] (numeric) = 3.7585449656057668558028593720506 absolute error = 6e-31 relative error = 1.5963624367689256967441114477672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.632 y[1] (analytic) = 3.7590567075184119704629352981726 y[1] (numeric) = 3.759056707518411970462935298172 absolute error = 6e-31 relative error = 1.5961451148101925310717213394877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.633 y[1] (analytic) = 3.7595693223742768214390921381254 y[1] (numeric) = 3.7595693223742768214390921381248 absolute error = 6e-31 relative error = 1.5959274814517388316413513694075e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.634 y[1] (analytic) = 3.7600828106607465122510515916713 y[1] (numeric) = 3.7600828106607465122510515916707 absolute error = 6e-31 relative error = 1.5957095367656651394378055143701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.635 y[1] (analytic) = 3.7605971728643327158864814040798 y[1] (numeric) = 3.7605971728643327158864814040792 absolute error = 6e-31 relative error = 1.5954912808249499710232112574124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.636 y[1] (analytic) = 3.7611124094706731882893629210985 y[1] (numeric) = 3.7611124094706731882893629210979 absolute error = 6e-31 relative error = 1.5952727137034494056383767628216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.637 y[1] (analytic) = 3.7616285209645312827222756147836 y[1] (numeric) = 3.761628520964531282722275614783 absolute error = 6e-31 relative error = 1.5950538354758966677701996520658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.638 y[1] (analytic) = 3.762145507829795465003084217865 y[1] (numeric) = 3.7621455078297954650030842178644 absolute error = 6e-31 relative error = 1.5948346462179017051874455704597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.639 y[1] (analytic) = 3.762663370549478829616513229919 y[1] (numeric) = 3.7626633705494788296165132299185 absolute error = 5e-31 relative error = 1.3288459550049589687060517839781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = 3.763182109605718616701092683734 y[1] (numeric) = 3.7631821096057186167010926837335 absolute error = 5e-31 relative error = 1.3286627790978382915623677322994e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.641 y[1] (analytic) = 3.763701725479775729911958184882 y[1] (numeric) = 3.7637017254797757299119581848815 absolute error = 5e-31 relative error = 1.3284793441920873400155751633134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.642 y[1] (analytic) = 3.7642222186520342551599873616572 y[1] (numeric) = 3.7642222186520342551599873616567 absolute error = 5e-31 relative error = 1.3282956503536332229866822804843e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.643 y[1] (analytic) = 3.7647435896020009802277539862042 y[1] (numeric) = 3.7647435896020009802277539862038 absolute error = 4e-31 relative error = 1.0624893581193054698978653240734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.644 y[1] (analytic) = 3.7652658388083049152627801508421 y[1] (numeric) = 3.7652658388083049152627801508417 absolute error = 4e-31 relative error = 1.0623419889167739950340615673087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.645 y[1] (analytic) = 3.7657889667486968141485660062914 y[1] (numeric) = 3.765788966748696814148566006291 absolute error = 4e-31 relative error = 1.0621944127298020308615430243520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.646 y[1] (analytic) = 3.7663129739000486967538756907357 y[1] (numeric) = 3.7663129739000486967538756907353 absolute error = 4e-31 relative error = 1.0620466296134615775927333659077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.647 y[1] (analytic) = 3.7668378607383533720607572003912 y[1] (numeric) = 3.7668378607383533720607572003908 absolute error = 4e-31 relative error = 1.0618986396234064501643633392152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.648 y[1] (analytic) = 3.7673636277387239621717730735249 y[1] (numeric) = 3.7673636277387239621717730735244 absolute error = 5e-31 relative error = 1.3271880535198399585113318314532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.649 y[1] (analytic) = 3.7678902753753934271969178806504 y[1] (numeric) = 3.76789027537539342719691788065 absolute error = 4e-31 relative error = 1.0616020392476746346249635662398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = 3.7684178041217140910206976339462 y[1] (numeric) = 3.7684178041217140910206976339458 absolute error = 4e-31 relative error = 1.0614534289762118321451805086799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.651 y[1] (analytic) = 3.7689462144501571679498453487745 y[1] (numeric) = 3.7689462144501571679498453487741 absolute error = 4e-31 relative error = 1.0613046120594614889092188916043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.652 y[1] (analytic) = 3.7694755068323122902421461095487 y[1] (numeric) = 3.7694755068323122902421461095483 absolute error = 4e-31 relative error = 1.0611555885559817620382007408765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.653 y[1] (analytic) = 3.7700056817388870365168441110826 y[1] (numeric) = 3.7700056817388870365168441110822 absolute error = 4e-31 relative error = 1.0610063585249107098159835651544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.4MB, time=16.48 x[1] = 2.654 y[1] (analytic) = 3.7705367396397064610471032649769 y[1] (numeric) = 3.7705367396397064610471032649764 absolute error = 5e-31 relative error = 1.3260711525324574528477517572677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.655 y[1] (analytic) = 3.7710686810037126239349920785412 y[1] (numeric) = 3.7710686810037126239349920785408 absolute error = 4e-31 relative error = 1.0607072791194443888113107604754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.656 y[1] (analytic) = 3.77160150629896412216946263123 y[1] (numeric) = 3.7716015062989641221694626312296 absolute error = 4e-31 relative error = 1.0605574298662217627637524812788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.657 y[1] (analytic) = 3.7721352159926356215677925905716 y[1] (numeric) = 3.7721352159926356215677925905712 absolute error = 4e-31 relative error = 1.0604073743277524230713719433463e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.658 y[1] (analytic) = 3.7726698105510173896009583261118 y[1] (numeric) = 3.7726698105510173896009583261115 absolute error = 3e-31 relative error = 7.9519283442455169967445320910233e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.659 y[1] (analytic) = 3.7732052904395148291034062959586 y[1] (numeric) = 3.7732052904395148291034062959582 absolute error = 4e-31 relative error = 1.0601066446437817353022959435243e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = 3.7737416561226480128676889961174 y[1] (numeric) = 3.773741656122648012867688996117 absolute error = 4e-31 relative error = 1.0599559706240788059063983268718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.661 y[1] (analytic) = 3.774278908064051219124430877944 y[1] (numeric) = 3.7742789080640512191244308779436 absolute error = 4e-31 relative error = 1.0598050905707253026131335286004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.662 y[1] (analytic) = 3.7748170467264724679080887537083 y[1] (numeric) = 3.7748170467264724679080887537079 absolute error = 4e-31 relative error = 1.0596540045480632123295968113298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.663 y[1] (analytic) = 3.7753560725717730583089703244712 y[1] (numeric) = 3.7753560725717730583089703244708 absolute error = 4e-31 relative error = 1.0595027126210109947261245909833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.664 y[1] (analytic) = 3.7758959860609271066119735782175 y[1] (numeric) = 3.7758959860609271066119735782171 absolute error = 4e-31 relative error = 1.0593512148550632230241211508918e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.665 y[1] (analytic) = 3.776436787654021085322508919466 y[1] (numeric) = 3.7764367876540210853225089194656 absolute error = 4e-31 relative error = 1.0591995113162902218164015573284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.666 y[1] (analytic) = 3.7769784778102533630800650043973 y[1] (numeric) = 3.7769784778102533630800650043969 absolute error = 4e-31 relative error = 1.0590476020713377019224725145798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.667 y[1] (analytic) = 3.7775210569879337454598783678947 y[1] (numeric) = 3.7775210569879337454598783678944 absolute error = 3e-31 relative error = 7.9417161539056979421090284432480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.668 y[1] (analytic) = 3.7780645256444830166631660407902 y[1] (numeric) = 3.7780645256444830166631660407899 absolute error = 3e-31 relative error = 7.9405737504926375166253029073858e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.669 y[1] (analytic) = 3.7786088842364324820963794670445 y[1] (numeric) = 3.7786088842364324820963794670442 absolute error = 3e-31 relative error = 7.9394298058086238555995230734484e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = 3.7791541332194235118399371415703 y[1] (numeric) = 3.77915413321942351183993714157 absolute error = 3e-31 relative error = 7.9382843203707335470141685757076e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.671 y[1] (analytic) = 3.7797002730482070850068924999262 y[1] (numeric) = 3.7797002730482070850068924999259 absolute error = 3e-31 relative error = 7.9371372947003445497073687468406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.672 y[1] (analytic) = 3.7802473041766433349919927011773 y[1] (numeric) = 3.7802473041766433349919927011771 absolute error = 2e-31 relative error = 5.2906591528820888811693989761972e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.673 y[1] (analytic) = 3.7807952270577010956115830548245 y[1] (numeric) = 3.7807952270577010956115830548243 absolute error = 2e-31 relative error = 5.2898924165127146178286824528265e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.674 y[1] (analytic) = 3.7813440421434574481348109518606 y[1] (numeric) = 3.7813440421434574481348109518603 absolute error = 3e-31 relative error = 7.9336869815724251179690062625767e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.675 y[1] (analytic) = 3.7818937498850972692065822687116 y[1] (numeric) = 3.7818937498850972692065822687114 absolute error = 2e-31 relative error = 5.2883558668478316003743382953536e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.676 y[1] (analytic) = 3.78244435073291277966272232107 y[1] (numeric) = 3.7824443507329127796627223210698 absolute error = 2e-31 relative error = 5.2875860542732533810462389846875e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.677 y[1] (analytic) = 3.7829958451363030942377925524191 y[1] (numeric) = 3.7829958451363030942377925524189 absolute error = 2e-31 relative error = 5.2868152170226321586817308503081e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.678 y[1] (analytic) = 3.7835482335437737721660132493971 y[1] (numeric) = 3.7835482335437737721660132493969 absolute error = 2e-31 relative error = 5.2860433554635718753281936762520e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.679 y[1] (analytic) = 3.7841015164029363686757416830387 y[1] (numeric) = 3.7841015164029363686757416830385 absolute error = 2e-31 relative error = 5.2852704699665283264463448479754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = 3.7846556941605079873779541813793 y[1] (numeric) = 3.7846556941605079873779541813792 absolute error = 1e-31 relative error = 2.6422482804524035644949541528128e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.681 y[1] (analytic) = 3.7852107672623108335491797449032 y[1] (numeric) = 3.7852107672623108335491797449031 absolute error = 1e-31 relative error = 2.6418608143272808374300220785636e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.4MB, time=16.67 x[1] = 2.682 y[1] (analytic) = 3.7857667361532717683093319218634 y[1] (numeric) = 3.7857667361532717683093319218632 absolute error = 2e-31 relative error = 5.2829456735947910697490981702249e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.683 y[1] (analytic) = 3.7863236012774218636948847656052 y[1] (numeric) = 3.786323601277421863694884765605 absolute error = 2e-31 relative error = 5.2821686961073380573883819160302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.684 y[1] (analytic) = 3.7868813630778959586278378006806 y[1] (numeric) = 3.7868813630778959586278378006804 absolute error = 2e-31 relative error = 5.2813906965768869292148456863388e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.685 y[1] (analytic) = 3.7874400219969322157809140287506 y[1] (numeric) = 3.7874400219969322157809140287504 absolute error = 2e-31 relative error = 5.2806116753909614194716574505483e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.686 y[1] (analytic) = 3.7879995784758716793394341090411 y[1] (numeric) = 3.787999578475871679339434109041 absolute error = 1e-31 relative error = 2.6399158164699612928789260264764e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.687 y[1] (analytic) = 3.7885600329551578336603089514416 y[1] (numeric) = 3.7885600329551578336603089514415 absolute error = 1e-31 relative error = 2.6395252848084833375211827875296e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.688 y[1] (analytic) = 3.7891213858743361628285920632166 y[1] (numeric) = 3.7891213858743361628285920632164 absolute error = 2e-31 relative error = 5.2782684858181229751579202979218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.689 y[1] (analytic) = 3.789683637672053711112032092741 y[1] (numeric) = 3.7896836376720537111120320927408 absolute error = 2e-31 relative error = 5.2774853819422516517903759938496e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = 3.7902467887860586443140651156711 y[1] (numeric) = 3.7902467887860586443140651156709 absolute error = 2e-31 relative error = 5.2767012583910415709793133527985e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.691 y[1] (analytic) = 3.7908108396531998120256853105208 y[1] (numeric) = 3.7908108396531998120256853105206 absolute error = 2e-31 relative error = 5.2759161155690081071457652038427e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.692 y[1] (analytic) = 3.7913757907094263107766317717369 y[1] (numeric) = 3.7913757907094263107766317717367 absolute error = 2e-31 relative error = 5.2751299538834909366631608239123e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.693 y[1] (analytic) = 3.7919416423897870480863283090505 y[1] (numeric) = 3.7919416423897870480863283090503 absolute error = 2e-31 relative error = 5.2743427737446518169876980320517e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.694 y[1] (analytic) = 3.7925083951284303074150121821273 y[1] (numeric) = 3.7925083951284303074150121821271 absolute error = 2e-31 relative error = 5.2735545755654723513645069453673e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.695 y[1] (analytic) = 3.7930760493586033140154868193531 y[1] (numeric) = 3.7930760493586033140154868193529 absolute error = 2e-31 relative error = 5.2727653597617517391261182201744e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.696 y[1] (analytic) = 3.7936446055126518016859326689641 y[1] (numeric) = 3.7936446055126518016859326689639 absolute error = 2e-31 relative error = 5.2719751267521045115998973162070e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.697 y[1] (analytic) = 3.794214064022019580424209429677 y[1] (numeric) = 3.7942140640220195804242094296768 absolute error = 2e-31 relative error = 5.2711838769579582536412548007018e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.698 y[1] (analytic) = 3.7947844253172481049840820064784 y[1] (numeric) = 3.7947844253172481049840820064782 absolute error = 2e-31 relative error = 5.2703916108035513108095909503193e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.699 y[1] (analytic) = 3.7953556898279760443338016353137 y[1] (numeric) = 3.7953556898279760443338016353135 absolute error = 2e-31 relative error = 5.2695983287159304822040809097916e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (analytic) = 3.7959278579829388520174727180567 y[1] (numeric) = 3.7959278579829388520174727180565 absolute error = 2e-31 relative error = 5.2688040311249486989765544245266e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.701 y[1] (analytic) = 3.7965009302099683374196350063587 y[1] (numeric) = 3.7965009302099683374196350063585 absolute error = 2e-31 relative error = 5.2680087184632626885388716777223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.702 y[1] (analytic) = 3.7970749069359922379334898697584 y[1] (numeric) = 3.7970749069359922379334898697582 absolute error = 2e-31 relative error = 5.2672123911663306244823440285035e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.703 y[1] (analytic) = 3.7976497885870337920331984797905 y[1] (numeric) = 3.7976497885870337920331984797903 absolute error = 2e-31 relative error = 5.2664150496724097622268954637760e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.704 y[1] (analytic) = 3.7982255755882113132506788377603 y[1] (numeric) = 3.7982255755882113132506788377601 absolute error = 2e-31 relative error = 5.2656166944225540604178073405393e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.705 y[1] (analytic) = 3.7988022683637377650573276693503 y[1] (numeric) = 3.79880226836373776505732766935 absolute error = 3e-31 relative error = 7.8972259887909176821320532574064e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.706 y[1] (analytic) = 3.7993798673369203366510923043026 y[1] (numeric) = 3.7993798673369203366510923043023 absolute error = 3e-31 relative error = 7.8960254166498346764063526904830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.707 y[1] (analytic) = 3.7999583729301600196493167540697 y[1] (numeric) = 3.7999583729301600196493167540694 absolute error = 3e-31 relative error = 7.8948233258847265551221618750303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.708 y[1] (analytic) = 3.8005377855649511856877852945519 y[1] (numeric) = 3.8005377855649511856877852945516 absolute error = 3e-31 relative error = 7.8936197171739183699272481785257e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.709 y[1] (analytic) = 3.8011181056618811649263859548427 y[1] (numeric) = 3.8011181056618811649263859548424 absolute error = 3e-31 relative error = 7.8924145911999120680557217299657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.4MB, time=16.85 x[1] = 2.71 y[1] (analytic) = 3.8016993336406298254618154062839 y[1] (numeric) = 3.8016993336406298254618154062836 absolute error = 3e-31 relative error = 7.8912079486493827967257229459864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.711 y[1] (analytic) = 3.80228146991996915364774583909 y[1] (numeric) = 3.8022814699199691536477458390897 absolute error = 3e-31 relative error = 7.8899997902131751863519636241426e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.712 y[1] (analytic) = 3.8028645149177628353228735063404 y[1] (numeric) = 3.8028645149177628353228735063401 absolute error = 3e-31 relative error = 7.8887901165862996126016325964890e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.713 y[1] (analytic) = 3.8034484690509658379472677072559 y[1] (numeric) = 3.8034484690509658379472677072556 absolute error = 3e-31 relative error = 7.8875789284679284373223935197651e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.714 y[1] (analytic) = 3.8040333327356239936474380733755 y[1] (numeric) = 3.8040333327356239936474380733752 absolute error = 3e-31 relative error = 7.8863662265613922283714185482504e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.715 y[1] (analytic) = 3.8046191063868735831705371125316 y[1] (numeric) = 3.8046191063868735831705371125312 absolute error = 4e-31 relative error = 1.0513536015432234611166156517670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.716 y[1] (analytic) = 3.8052057904189409207481140563862 y[1] (numeric) = 3.8052057904189409207481140563858 absolute error = 4e-31 relative error = 1.0511915045623886909927248754347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.717 y[1] (analytic) = 3.8057933852451419398698351477405 y[1] (numeric) = 3.8057933852451419398698351477401 absolute error = 4e-31 relative error = 1.0510292060277856259857091530114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.718 y[1] (analytic) = 3.8063818912778817799675845938615 y[1] (numeric) = 3.8063818912778817799675845938611 absolute error = 4e-31 relative error = 1.0508667060354042886597500850503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.719 y[1] (analytic) = 3.806971308928654374010359501692 y[1] (numeric) = 3.8069713089286543740103595016915 absolute error = 5e-31 relative error = 1.3133800058522332085901741371311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = 3.8075616386080420370103712000129 y[1] (numeric) = 3.8075616386080420370103712000125 absolute error = 4e-31 relative error = 1.0505411020640256929539611937189e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.721 y[1] (analytic) = 3.8081528807257150554407644424244 y[1] (numeric) = 3.808152880725715055440764442424 absolute error = 4e-31 relative error = 1.0503779982797657201053967776367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.722 y[1] (analytic) = 3.8087450356904312775653650733898 y[1] (numeric) = 3.8087450356904312775653650733894 absolute error = 4e-31 relative error = 1.0502146934272009960097366828769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.723 y[1] (analytic) = 3.8093381039100357046808658275633 y[1] (numeric) = 3.8093381039100357046808658275629 absolute error = 4e-31 relative error = 1.0500511876050756336702189941860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.724 y[1] (analytic) = 3.8099320857914600832718590201791 y[1] (numeric) = 3.8099320857914600832718590201787 absolute error = 4e-31 relative error = 1.0498874809126829794738363771788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.725 y[1] (analytic) = 3.8105269817407224980791239734369 y[1] (numeric) = 3.8105269817407224980791239734365 absolute error = 4e-31 relative error = 1.0497235734498650784862848767108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.726 y[1] (analytic) = 3.8111227921629269660815761105621 y[1] (numeric) = 3.8111227921629269660815761105617 absolute error = 4e-31 relative error = 1.0495594653170121369822549672790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.727 y[1] (analytic) = 3.8117195174622630313922837355569 y[1] (numeric) = 3.8117195174622630313922837355565 absolute error = 4e-31 relative error = 1.0493951566150619822152934910546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.728 y[1] (analytic) = 3.8123171580420053610689576025934 y[1] (numeric) = 3.812317158042005361068957602593 absolute error = 4e-31 relative error = 1.0492306474454995194314931220750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.729 y[1] (analytic) = 3.8129157143045133418393174645235 y[1] (numeric) = 3.8129157143045133418393174645231 absolute error = 4e-31 relative error = 1.0490659379103561861312939361073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = 3.8135151866512306777417388751072 y[1] (numeric) = 3.8135151866512306777417388751068 absolute error = 4e-31 relative error = 1.0489010281122094035837095443122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.731 y[1] (analytic) = 3.8141155754826849886815826042779 y[1] (numeric) = 3.8141155754826849886815826042775 absolute error = 4e-31 relative error = 1.0487359181541820255973180646288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.732 y[1] (analytic) = 3.8147168811984874099036081100822 y[1] (numeric) = 3.8147168811984874099036081100817 absolute error = 5e-31 relative error = 1.3107132601749272306904824466658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.733 y[1] (analytic) = 3.815319104197332192380871594847 y[1] (numeric) = 3.8153191041973321923808715948465 absolute error = 5e-31 relative error = 1.3105063727171259183731505500709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.734 y[1] (analytic) = 3.8159222448769963041205082566434 y[1] (numeric) = 3.815922244876996304120508256643 absolute error = 4e-31 relative error = 1.0482393883602146927222738222545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.735 y[1] (analytic) = 3.8165263036343390323867974302313 y[1] (numeric) = 3.8165263036343390323867974302308 absolute error = 5e-31 relative error = 1.3100918485059783444864383240113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.736 y[1] (analytic) = 3.8171312808653015868419083943854 y[1] (numeric) = 3.8171312808653015868419083943849 absolute error = 5e-31 relative error = 1.3098842120165579195806201509937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.737 y[1] (analytic) = 3.8177371769649067036047237048264 y[1] (numeric) = 3.817737176964906703604723704826 absolute error = 4e-31 relative error = 1.0477410608919893931177713998651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=17.03 x[1] = 2.738 y[1] (analytic) = 3.8183439923272582502281359938986 y[1] (numeric) = 3.8183439923272582502281359938982 absolute error = 4e-31 relative error = 1.0475745527479370656147493489169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.739 y[1] (analytic) = 3.8189517273455408315952132596647 y[1] (numeric) = 3.8189517273455408315952132596643 absolute error = 4e-31 relative error = 1.0474078452885554953021908311676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.74 y[1] (analytic) = 3.8195603824120193967346267482207 y[1] (numeric) = 3.8195603824120193967346267482204 absolute error = 3e-31 relative error = 7.8543070396638837981719212717470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.741 y[1] (analytic) = 3.8201699579180388465557346137696 y[1] (numeric) = 3.8201699579180388465557346137693 absolute error = 3e-31 relative error = 7.8530537464227777017444993062898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.742 y[1] (analytic) = 3.8207804542540236425037136213368 y[1] (numeric) = 3.8207804542540236425037136213365 absolute error = 3e-31 relative error = 7.8517989607589888041709314322185e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.743 y[1] (analytic) = 3.8213918718094774161351302369641 y[1] (numeric) = 3.8213918718094774161351302369638 absolute error = 3e-31 relative error = 7.8505426834946975249129483231463e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.744 y[1] (analytic) = 3.8220042109729825796143415297785 y[1] (numeric) = 3.8220042109729825796143415297782 absolute error = 3e-31 relative error = 7.8492849154561194255805297130581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.745 y[1] (analytic) = 3.8226174721321999371311153895012 y[1] (numeric) = 3.8226174721321999371311153895009 absolute error = 3e-31 relative error = 7.8480256574735007912082872087437e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.746 y[1] (analytic) = 3.8232316556738682972398586417461 y[1] (numeric) = 3.8232316556738682972398586417458 absolute error = 3e-31 relative error = 7.8467649103811141914705680018038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.747 y[1] (analytic) = 3.8238467619838040861208407218455 y[1] (numeric) = 3.8238467619838040861208407218453 absolute error = 2e-31 relative error = 5.2303351166781693479140684574962e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.748 y[1] (analytic) = 3.824462791446900961763799645949 y[1] (numeric) = 3.8244627914469009617637996459488 absolute error = 2e-31 relative error = 5.2294926348161546832954803326638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.749 y[1] (analytic) = 3.8250797444471294290743160957554 y[1] (numeric) = 3.8250797444471294290743160957552 absolute error = 2e-31 relative error = 5.2286491618989151943312365886331e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = 3.8256976213675364559033405104733 y[1] (numeric) = 3.8256976213675364559033405104731 absolute error = 2e-31 relative error = 5.2278046984933394946325075481023e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.751 y[1] (analytic) = 3.8263164225902450900002571564501 y[1] (numeric) = 3.8263164225902450900002571564499 absolute error = 2e-31 relative error = 5.2269592451689853918483786090536e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.752 y[1] (analytic) = 3.8269361484964540768898682213742 y[1] (numeric) = 3.826936148496454076889868221374 absolute error = 2e-31 relative error = 5.2261128024980768487369847441791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.753 y[1] (analytic) = 3.8275567994664374786736800560336 y[1] (numeric) = 3.8275567994664374786736800560335 absolute error = 1e-31 relative error = 2.6126326855277504655162115178502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.754 y[1] (analytic) = 3.8281783758795442937558727623141 y[1] (numeric) = 3.8281783758795442937558727623139 absolute error = 2e-31 relative error = 5.2244169514188047421322517563270e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.755 y[1] (analytic) = 3.828800878114198077494333401434 y[1] (numeric) = 3.8288008781141980774943334014338 absolute error = 2e-31 relative error = 5.2235675441681923446305154023077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.756 y[1] (analytic) = 3.8294243065478965637771321713529 y[1] (numeric) = 3.8294243065478965637771321713527 absolute error = 2e-31 relative error = 5.2227171498865216687213656126591e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.757 y[1] (analytic) = 3.8300486615572112875248199768446 y[1] (numeric) = 3.8300486615572112875248199768445 absolute error = 1e-31 relative error = 2.6109328845796507037492390338394e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.758 y[1] (analytic) = 3.8306739435177872081189248899068 y[1] (numeric) = 3.8306739435177872081189248899066 absolute error = 2e-31 relative error = 5.2210134025746878991755952477607e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.759 y[1] (analytic) = 3.8313001528043423337570240719778 y[1] (numeric) = 3.8313001528043423337570240719776 absolute error = 2e-31 relative error = 5.2201600507234819962536543483204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = 3.8319272897906673467347668028599 y[1] (numeric) = 3.8319272897906673467347668028597 absolute error = 2e-31 relative error = 5.2193057141991259216600886863098e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.761 y[1] (analytic) = 3.832555354849625229655223334292 y[1] (numeric) = 3.8325553548496252296552233342918 absolute error = 2e-31 relative error = 5.2184503935977001118860195963748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.762 y[1] (analytic) = 3.8331843483531508925659333587936 y[1] (numeric) = 3.8331843483531508925659333587935 absolute error = 1e-31 relative error = 2.6087970447589600235735920490958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.763 y[1] (analytic) = 3.8338142706722508010240269567004 y[1] (numeric) = 3.8338142706722508010240269567002 absolute error = 2e-31 relative error = 5.2167368025611330685945715189529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.764 y[1] (analytic) = 3.8344451221770026050897899562378 y[1] (numeric) = 3.8344451221770026050897899562377 absolute error = 1e-31 relative error = 2.6079392666656575913004348871933e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.765 y[1] (analytic) = 3.8350769032365547692490447130392 y[1] (numeric) = 3.835076903236554769249044713039 absolute error = 2e-31 relative error = 5.2150192824350678521489491461308e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.766 y[1] (analytic) = 3.8357096142191262032647163866937 y[1] (numeric) = 3.8357096142191262032647163866935 absolute error = 2e-31 relative error = 5.2141590504816147753487381408116e-30 % memory used=358.5MB, alloc=4.4MB, time=17.22 Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.767 y[1] (analytic) = 3.8363432554920058939579538627298 y[1] (numeric) = 3.8363432554920058939579538627296 absolute error = 2e-31 relative error = 5.2132978380827986511089723748324e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.768 y[1] (analytic) = 3.8369778274215525379191735388806 y[1] (numeric) = 3.8369778274215525379191735388804 absolute error = 2e-31 relative error = 5.2124356458530779319904233967638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.769 y[1] (analytic) = 3.8376133303731941751493932645582 y[1] (numeric) = 3.837613330373194175149393264558 absolute error = 2e-31 relative error = 5.2115724744095235642673399343900e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = 3.8382497647114278236322227921709 y[1] (numeric) = 3.8382497647114278236322227921708 absolute error = 1e-31 relative error = 2.6053541621859078576119796170120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.771 y[1] (analytic) = 3.8388871307998191148368761682647 y[1] (numeric) = 3.8388871307998191148368761682645 absolute error = 2e-31 relative error = 5.2098431963622404877130709437219e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.772 y[1] (analytic) = 3.8395254290010019301525705614434 y[1] (numeric) = 3.8395254290010019301525705614432 absolute error = 2e-31 relative error = 5.2089770910056866220037403776451e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.773 y[1] (analytic) = 3.8401646596766780382546750926411 y[1] (numeric) = 3.8401646596766780382546750926409 absolute error = 2e-31 relative error = 5.2081100089296421849454219841150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.774 y[1] (analytic) = 3.840804823187616733402972301566 y[1] (numeric) = 3.8408048231876167334029723015658 absolute error = 2e-31 relative error = 5.2072419507641912464758174230293e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.775 y[1] (analytic) = 3.8414459198936544746723939510245 y[1] (numeric) = 3.8414459198936544746723939510244 absolute error = 1e-31 relative error = 2.6031864585710052717499779186898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.776 y[1] (analytic) = 3.8420879501536945261165919383605 y[1] (numeric) = 3.8420879501536945261165919383603 absolute error = 2e-31 relative error = 5.2055029086983661311680966767638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.777 y[1] (analytic) = 3.8427309143257065978647041504071 y[1] (numeric) = 3.8427309143257065978647041504069 absolute error = 2e-31 relative error = 5.2046319260711100215801777961920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.778 y[1] (analytic) = 3.8433748127667264881516741651577 y[1] (numeric) = 3.8433748127667264881516741651575 absolute error = 2e-31 relative error = 5.2037599699006768099446535092639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.779 y[1] (analytic) = 3.8440196458328557262824827698042 y[1] (numeric) = 3.8440196458328557262824827698039 absolute error = 3e-31 relative error = 7.8043305612451204323295332287426e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (analytic) = 3.8446654138792612165306483308824 y[1] (numeric) = 3.8446654138792612165306483308822 absolute error = 2e-31 relative error = 5.2020131395049100462647971819867e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.781 y[1] (analytic) = 3.8453121172601748829713521179954 y[1] (numeric) = 3.8453121172601748829713521179952 absolute error = 2e-31 relative error = 5.2011382665733280605311298729827e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.782 y[1] (analytic) = 3.8459597563288933152495437479578 y[1] (numeric) = 3.8459597563288933152495437479576 absolute error = 2e-31 relative error = 5.2002624226860652703187453253261e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.783 y[1] (analytic) = 3.8466083314377774152833809812275 y[1] (numeric) = 3.8466083314377774152833809812274 absolute error = 1e-31 relative error = 2.5996928042482090708146533458026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.784 y[1] (analytic) = 3.847257842938252044903357167156 y[1] (numeric) = 3.8472578429382520449033571671559 absolute error = 1e-31 relative error = 2.5992539123301226093213876690493e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.785 y[1] (analytic) = 3.8479082911808056744274686988987 y[1] (numeric) = 3.8479082911808056744274686988986 absolute error = 1e-31 relative error = 2.5988145359179818314233935098486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.786 y[1] (analytic) = 3.8485596765149900321727739027902 y[1] (numeric) = 3.8485596765149900321727739027901 absolute error = 1e-31 relative error = 2.5983746753422728899237580485150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.787 y[1] (analytic) = 3.8492119992894197549036938505959 y[1] (numeric) = 3.8492119992894197549036938505958 absolute error = 1e-31 relative error = 2.5979343309347577669454756726491e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.788 y[1] (analytic) = 3.8498652598517720392174046463094 y[1] (numeric) = 3.8498652598517720392174046463093 absolute error = 1e-31 relative error = 2.5974935030284725250618123323666e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.789 y[1] (analytic) = 3.8505194585487862938666698020755 y[1] (numeric) = 3.8505194585487862938666698020753 absolute error = 2e-31 relative error = 5.1941043839154511046219513337424e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = 3.8511745957262637930204603803759 y[1] (numeric) = 3.8511745957262637930204603803757 absolute error = 2e-31 relative error = 5.1932207961161916022194573459458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.791 y[1] (analytic) = 3.8518306717290673304627096418307 y[1] (numeric) = 3.8518306717290673304627096418305 absolute error = 2e-31 relative error = 5.1923362433328620421612858397238e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.792 y[1] (analytic) = 3.8524876869011208747295479998297 y[1] (numeric) = 3.8524876869011208747295479998296 absolute error = 1e-31 relative error = 2.5957253631208459858077453309419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.793 y[1] (analytic) = 3.8531456415854092251853631447324 y[1] (numeric) = 3.8531456415854092251853631447322 absolute error = 2e-31 relative error = 5.1905642455214414270707407038836e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.794 y[1] (analytic) = 3.8538045361239776690380292615451 y[1] (numeric) = 3.853804536123977669038029261545 absolute error = 1e-31 relative error = 2.5948384009266986818250869040302e-30 % Correct digits = 31 h = 0.001 memory used=362.4MB, alloc=4.4MB, time=17.41 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.795 y[1] (analytic) = 3.8544643708579316392936483258208 y[1] (numeric) = 3.8544643708579316392936483258206 absolute error = 2e-31 relative error = 5.1887883959213700723712537607876e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.796 y[1] (analytic) = 3.8551251461274363736511455230078 y[1] (numeric) = 3.8551251461274363736511455230077 absolute error = 1e-31 relative error = 2.5939495142058447926907990838892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.797 y[1] (analytic) = 3.855786862271716574337059896628 y[1] (numeric) = 3.8557868622717165743370598966278 absolute error = 2e-31 relative error = 5.1870087000132020692008588421691e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.798 y[1] (analytic) = 3.8564495196290560688808703904608 y[1] (numeric) = 3.8564495196290560688808703904607 absolute error = 1e-31 relative error = 2.5930587057086331029994248634652e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.799 y[1] (analytic) = 3.8571131185367974718311965093834 y[1] (numeric) = 3.8571131185367974718311965093832 absolute error = 2e-31 relative error = 5.1852251633177495629402303178928e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = 3.8577776593313418474132118826338 y[1] (numeric) = 3.8577776593313418474132118826337 absolute error = 1e-31 relative error = 2.5921659782055124748130825253090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.801 y[1] (analytic) = 3.8584431423481483731276080720593 y[1] (numeric) = 3.8584431423481483731276080720591 absolute error = 2e-31 relative error = 5.1834377913959667636634911618633e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.802 y[1] (analytic) = 3.8591095679217340042914450263545 y[1] (numeric) = 3.8591095679217340042914450263543 absolute error = 2e-31 relative error = 5.1825426689739473243920391328606e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.803 y[1] (analytic) = 3.859776936385673139521223640414 y[1] (numeric) = 3.8597769363856731395212236404138 absolute error = 2e-31 relative error = 5.1816465898488331948008609654467e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.804 y[1] (analytic) = 3.860445248072597287158514936697 y[1] (numeric) = 3.8604452480725972871585149366968 absolute error = 2e-31 relative error = 5.1807495547269814916642322316639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.805 y[1] (analytic) = 3.8611145033141947326384794429475 y[1] (numeric) = 3.8611145033141947326384794429473 absolute error = 2e-31 relative error = 5.1798515643172361839284040711791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.806 y[1] (analytic) = 3.8617847024412102068016093977236 y[1] (numeric) = 3.8617847024412102068016093977234 absolute error = 2e-31 relative error = 5.1789526193309243793801910871991e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.807 y[1] (analytic) = 3.862455845783444555149025471965 y[1] (numeric) = 3.8624558457834445551490254719648 absolute error = 2e-31 relative error = 5.1780527204818525996285904089032e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.808 y[1] (analytic) = 3.8631279336697544080416587512755 y[1] (numeric) = 3.8631279336697544080416587512752 absolute error = 3e-31 relative error = 7.7657278027294545651461040678278e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.809 y[1] (analytic) = 3.8638009664280518518436477797096 y[1] (numeric) = 3.8638009664280518518436477797094 absolute error = 2e-31 relative error = 5.1762500640630298383936010494902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = 3.8644749443853041010102795216412 y[1] (numeric) = 3.8644749443853041010102795216409 absolute error = 3e-31 relative error = 7.7630209618998829216244519185319e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.811 y[1] (analytic) = 3.8651498678675331711208021537425 y[1] (numeric) = 3.8651498678675331711208021537422 absolute error = 3e-31 relative error = 7.7616654012309990983569429991282e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.812 y[1] (analytic) = 3.8658257371998155528564366542372 y[1] (numeric) = 3.8658257371998155528564366542369 absolute error = 3e-31 relative error = 7.7603084151771142506843233744267e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.813 y[1] (analytic) = 3.8665025527062818869239132113854 y[1] (numeric) = 3.8665025527062818869239132113852 absolute error = 2e-31 relative error = 5.1726333365540897143815050812408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.814 y[1] (analytic) = 3.8671803147101166399248575276399 y[1] (numeric) = 3.8671803147101166399248575276397 absolute error = 2e-31 relative error = 5.1717267808597638500924745140455e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.815 y[1] (analytic) = 3.867859023533557781171351150058 y[1] (numeric) = 3.8678590235335577811713511500577 absolute error = 3e-31 relative error = 7.7562289156529073705867484592499e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.816 y[1] (analytic) = 3.8685386794978964604479890113832 y[1] (numeric) = 3.8685386794978964604479890113829 absolute error = 3e-31 relative error = 7.7548662390248469190352691332470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.817 y[1] (analytic) = 3.8692192829234766867207564197121 y[1] (numeric) = 3.8692192829234766867207564197118 absolute error = 3e-31 relative error = 7.7535021425130542732960975881673e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.818 y[1] (analytic) = 3.8699008341296950077930467878422 y[1] (numeric) = 3.869900834129695007793046787842 absolute error = 2e-31 relative error = 5.1680910848191838670973035895965e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.819 y[1] (analytic) = 3.8705833334350001909091404462567 y[1] (numeric) = 3.8705833334350001909091404462564 absolute error = 3e-31 relative error = 7.7507696942869085886420352212918e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = 3.87126678115689290430546393624 y[1] (numeric) = 3.8712667811568929043054639362397 absolute error = 3e-31 relative error = 7.7494013448059946340300331647360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.821 y[1] (analytic) = 3.87195117761192539970994823184 y[1] (numeric) = 3.8719511776119253997099482318397 absolute error = 3e-31 relative error = 7.7480315799082150147936547246650e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.822 y[1] (analytic) = 3.8726365231157011957898033912902 y[1] (numeric) = 3.8726365231157011957898033912899 absolute error = 3e-31 relative error = 7.7466604007193840453947631559385e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=366.2MB, alloc=4.4MB, time=17.59 TOP MAIN SOLVE Loop x[1] = 2.823 y[1] (analytic) = 3.873322817982874762548026190092 y[1] (numeric) = 3.8733228179828747625480261900917 absolute error = 3e-31 relative error = 7.7452878083689434152534910089202e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.824 y[1] (analytic) = 3.874010062527151206668956339223 y[1] (numeric) = 3.8740100625271512066689563392227 absolute error = 3e-31 relative error = 7.7439138039899563105177878831869e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.825 y[1] (analytic) = 3.8746982570612859578131959428885 y[1] (numeric) = 3.8746982570612859578131959428882 absolute error = 3e-31 relative error = 7.7425383887191015191720285365830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.826 y[1] (analytic) = 3.8753874018970844558622059008711 y[1] (numeric) = 3.8753874018970844558622059008708 absolute error = 3e-31 relative error = 7.7411615636966675195344559704075e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.827 y[1] (analytic) = 3.8760774973454018391128920108556 y[1] (numeric) = 3.8760774973454018391128920108553 absolute error = 3e-31 relative error = 7.7397833300665465521933838478089e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.828 y[1] (analytic) = 3.8767685437161426334224925761172 y[1] (numeric) = 3.8767685437161426334224925761168 absolute error = 4e-31 relative error = 1.0317871585301638233909642139251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.829 y[1] (analytic) = 3.8774605413182604423040783736592 y[1] (numeric) = 3.8774605413182604423040783736588 absolute error = 4e-31 relative error = 1.0316030188769061072258151834742e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = 3.8781534904597576379729748872755 y[1] (numeric) = 3.8781534904597576379729748872751 absolute error = 4e-31 relative error = 1.0314186918697220976843804526845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.831 y[1] (analytic) = 3.8788473914476850533444157590882 y[1] (numeric) = 3.8788473914476850533444157590879 absolute error = 3e-31 relative error = 7.7342563324728361403114332955032e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.832 y[1] (analytic) = 3.8795422445881416749827354618829 y[1] (numeric) = 3.8795422445881416749827354618825 absolute error = 4e-31 relative error = 1.0310494764117838109441401078554e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.833 y[1] (analytic) = 3.8802380501862743370024082430216 y[1] (numeric) = 3.8802380501862743370024082430213 absolute error = 3e-31 relative error = 7.7314844120349324617090796379035e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.834 y[1] (analytic) = 3.8809348085462774159212394388713 y[1] (numeric) = 3.880934808546277415921239438871 absolute error = 3e-31 relative error = 7.7300963504814489892963928437971e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.835 y[1] (analytic) = 3.8816325199713925264660143065286 y[1] (numeric) = 3.8816325199713925264660143065283 absolute error = 3e-31 relative error = 7.7287068896004351225386418950954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.836 y[1] (analytic) = 3.8823311847639082183309085671682 y[1] (numeric) = 3.8823311847639082183309085671679 absolute error = 3e-31 relative error = 7.7273160305679474918822305778403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.837 y[1] (analytic) = 3.8830308032251596738889639025791 y[1] (numeric) = 3.8830308032251596738889639025788 absolute error = 3e-31 relative error = 7.7259237745635863096263647742051e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.838 y[1] (analytic) = 3.8837313756555284068569306933871 y[1] (numeric) = 3.8837313756555284068569306933868 absolute error = 3e-31 relative error = 7.7245301227704892630227006664114e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.839 y[1] (analytic) = 3.8844329023544419619137793340964 y[1] (numeric) = 3.8844329023544419619137793340961 absolute error = 3e-31 relative error = 7.7231350763753253914242547184108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = 3.8851353836203736152731805064138 y[1] (numeric) = 3.8851353836203736152731805064134 absolute error = 4e-31 relative error = 1.0295651515424385263380505100962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.841 y[1] (analytic) = 3.88583881975084207621025383835 y[1] (numeric) = 3.8858388197508420762102538383496 absolute error = 4e-31 relative error = 1.0293787739390790990419657736736e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.842 y[1] (analytic) = 3.8865432110424111895428834223254 y[1] (numeric) = 3.886543211042411189542883422325 absolute error = 4e-31 relative error = 1.0291922108662619302777878524109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.843 y[1] (analytic) = 3.8872485577906896390678977109384 y[1] (numeric) = 3.887248557790689639067897710938 absolute error = 4e-31 relative error = 1.0290054624840847403186942331628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.844 y[1] (analytic) = 3.8879548602903306519524103541935 y[1] (numeric) = 3.8879548602903306519524103541931 absolute error = 4e-31 relative error = 1.0288185289531119828249043071425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.845 y[1] (analytic) = 3.8886621188350317040806175868221 y[1] (numeric) = 3.8886621188350317040806175868217 absolute error = 4e-31 relative error = 1.0286314104343740158486393605807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.846 y[1] (analytic) = 3.8893703337175342263563468188754 y[1] (numeric) = 3.889370333717534226356346818875 absolute error = 4e-31 relative error = 1.0284441070893662707610537209614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.847 y[1] (analytic) = 3.8900795052296233119616501270152 y[1] (numeric) = 3.8900795052296233119616501270148 absolute error = 4e-31 relative error = 1.0282566190800484191081720319805e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.848 y[1] (analytic) = 3.8907896336621274245717353878854 y[1] (numeric) = 3.8907896336621274245717353878851 absolute error = 3e-31 relative error = 7.7105170992663265305216411426212e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.849 y[1] (analytic) = 3.8915007193049181075265268386092 y[1] (numeric) = 3.8915007193049181075265268386089 absolute error = 3e-31 relative error = 7.7091081728897795239505819433826e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = 3.8922127624469096939591458928251 y[1] (numeric) = 3.8922127624469096939591458928248 absolute error = 3e-31 relative error = 7.7076978651958274181147578882405e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=370.0MB, alloc=4.4MB, time=17.77 TOP MAIN SOLVE Loop x[1] = 2.851 y[1] (analytic) = 3.8929257633760590178816020837597 y[1] (numeric) = 3.8929257633760590178816020837594 absolute error = 3e-31 relative error = 7.7062861774130321602558362402476e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.852 y[1] (analytic) = 3.8936397223793651262279830486201 y[1] (numeric) = 3.8936397223793651262279830486198 absolute error = 3e-31 relative error = 7.7048731107734060248938600706241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.853 y[1] (analytic) = 3.8943546397428689918554315110928 y[1] (numeric) = 3.8943546397428689918554315110925 absolute error = 3e-31 relative error = 7.7034586665124052731675068994669e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.854 y[1] (analytic) = 3.8950705157516532275031962609475 y[1] (numeric) = 3.8950705157516532275031962609472 absolute error = 3e-31 relative error = 7.7020428458689237970149355941141e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.855 y[1] (analytic) = 3.8957873506898418007100431716725 y[1] (numeric) = 3.8957873506898418007100431716722 absolute error = 3e-31 relative error = 7.7006256500852867482490334015851e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.856 y[1] (analytic) = 3.8965051448405997496903113387049 y[1] (numeric) = 3.8965051448405997496903113387046 absolute error = 3e-31 relative error = 7.6992070804072441525810026752826e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.857 y[1] (analytic) = 3.8972238984861329001688984621774 y[1] (numeric) = 3.8972238984861329001688984621771 absolute error = 3e-31 relative error = 7.6977871380839645086463537538646e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.858 y[1] (analytic) = 3.897943611907687583175458639172 y[1] (numeric) = 3.8979436119076875831754586391716 absolute error = 4e-31 relative error = 1.0261821099157371162783328747116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.859 y[1] (analytic) = 3.8986642853855503537980947712591 y[1] (numeric) = 3.8986642853855503537980947712587 absolute error = 4e-31 relative error = 1.0259924187353895899662998413960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = 3.8993859191990477108968268336072 y[1] (numeric) = 3.8993859191990477108968268336068 absolute error = 4e-31 relative error = 1.0258025450380707372036937666771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.861 y[1] (analytic) = 3.9001085136265458177771162921701 y[1] (numeric) = 3.9001085136265458177771162921697 absolute error = 4e-31 relative error = 1.0256124889921509689958693438780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.862 y[1] (analytic) = 3.9008320689454502238237259954049 y[1] (numeric) = 3.9008320689454502238237259954045 absolute error = 4e-31 relative error = 1.0254222507664521956803778220099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.863 y[1] (analytic) = 3.9015565854322055870951939066376 y[1] (numeric) = 3.9015565854322055870951939066372 absolute error = 4e-31 relative error = 1.0252318305302469616180113065159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.864 y[1] (analytic) = 3.9022820633622953978791980825792 y[1] (numeric) = 3.9022820633622953978791980825788 absolute error = 4e-31 relative error = 1.0250412284532575779350948130676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.865 y[1] (analytic) = 3.9030085030102417032090893426044 y[1] (numeric) = 3.903008503010241703209089342604 absolute error = 4e-31 relative error = 1.0248504447056552533243664959353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.866 y[1] (analytic) = 3.9037359046496048323418671122372 y[1] (numeric) = 3.9037359046496048323418671122368 absolute error = 4e-31 relative error = 1.0246594794580592229118024399495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.867 y[1] (analytic) = 3.904464268552983123197872962845 y[1] (numeric) = 3.9044642685529831231978729628445 absolute error = 5e-31 relative error = 1.2805854161019198439959478322754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.868 y[1] (analytic) = 3.9051935949920126497624754078241 y[1] (numeric) = 3.9051935949920126497624754078236 absolute error = 5e-31 relative error = 1.2803462564344973463410194404928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.869 y[1] (analytic) = 3.9059238842373669504500185535703 y[1] (numeric) = 3.9059238842373669504500185535698 absolute error = 5e-31 relative error = 1.2801068705352541211709209076561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (analytic) = 3.9066551365587567574303062412621 y[1] (numeric) = 3.9066551365587567574303062412616 absolute error = 5e-31 relative error = 1.2798672586196934073661845093036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.871 y[1] (analytic) = 3.9073873522249297269178923529503 y[1] (numeric) = 3.9073873522249297269178923529498 absolute error = 5e-31 relative error = 1.2796274209038729963262277945574e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.872 y[1] (analytic) = 3.9081205315036701704244469926416 y[1] (numeric) = 3.9081205315036701704244469926411 absolute error = 5e-31 relative error = 1.2793873576044041287416748977871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.873 y[1] (analytic) = 3.908854674661798786974467289987 y[1] (numeric) = 3.9088546746617987869744672899865 absolute error = 5e-31 relative error = 1.2791470689384503890140245838329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.874 y[1] (analytic) = 3.9095897819651723962846006108422 y[1] (numeric) = 3.9095897819651723962846006108417 absolute error = 5e-31 relative error = 1.2789065551237265973320153654263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.875 y[1] (analytic) = 3.9103258536786836729068469953543 y[1] (numeric) = 3.9103258536786836729068469953538 absolute error = 5e-31 relative error = 1.2786658163784976994140567818999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.876 y[1] (analytic) = 3.9110628900662608813359066803507 y[1] (numeric) = 3.9110628900662608813359066803502 absolute error = 5e-31 relative error = 1.2784248529215776539261145433328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.877 y[1] (analytic) = 3.9118008913908676120809375986603 y[1] (numeric) = 3.9118008913908676120809375986598 absolute error = 5e-31 relative error = 1.2781836649723283175844557237553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.878 y[1] (analytic) = 3.9125398579145025187019867835871 y[1] (numeric) = 3.9125398579145025187019867835866 absolute error = 5e-31 relative error = 1.2779422527506583279526785307100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=373.8MB, alloc=4.4MB, time=17.95 TOP MAIN SOLVE Loop x[1] = 2.879 y[1] (analytic) = 3.9132797898981990558113586420838 y[1] (numeric) = 3.9132797898981990558113586420833 absolute error = 5e-31 relative error = 1.2777006164770219839424693861659e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = 3.9140206876020252180401820952345 y[1] (numeric) = 3.914020687602025218040182095234 absolute error = 5e-31 relative error = 1.2774587563724181240275481252939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.881 y[1] (analytic) = 3.9147625512850832799704376194577 y[1] (numeric) = 3.9147625512850832799704376194572 absolute error = 5e-31 relative error = 1.2772166726583890021802800547569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.882 y[1] (analytic) = 3.9155053812055095370327042563818 y[1] (numeric) = 3.9155053812055095370327042563813 absolute error = 5e-31 relative error = 1.2769743655570191615404514107518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.883 y[1] (analytic) = 3.916249177620474047369885693623 y[1] (numeric) = 3.9162491776204740473698856936224 absolute error = 6e-31 relative error = 1.5320782023491211669908669026611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.884 y[1] (analytic) = 3.9169939407861803746671735527188 y[1] (numeric) = 3.9169939407861803746671735527182 absolute error = 6e-31 relative error = 1.5317868984999602021919476194480e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.885 y[1] (analytic) = 3.9177396709578653319485050542332 y[1] (numeric) = 3.9177396709578653319485050542326 absolute error = 6e-31 relative error = 1.5314953273893856555947684202697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.886 y[1] (analytic) = 3.9184863683897987263397712635529 y[1] (numeric) = 3.9184863683897987263397712635523 absolute error = 6e-31 relative error = 1.5312034892864883969679573042569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.887 y[1] (analytic) = 3.9192340333352831047990311541462 y[1] (numeric) = 3.9192340333352831047990311541456 absolute error = 6e-31 relative error = 1.5309113844610032446729704071108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.888 y[1] (analytic) = 3.9199826660466535008139857580486 y[1] (numeric) = 3.9199826660466535008139857580481 absolute error = 5e-31 relative error = 1.2755158443194229983155726708784e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.889 y[1] (analytic) = 3.9207322667752771820669657060812 y[1] (numeric) = 3.9207322667752771820669657060806 absolute error = 6e-31 relative error = 1.5303263757244200667349569581124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = 3.9214828357715533990676844927907 y[1] (numeric) = 3.9214828357715533990676844927902 absolute error = 5e-31 relative error = 1.2750278936299992486805476518269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.891 y[1] (analytic) = 3.9222343732849131347540088333405 y[1] (numeric) = 3.92223437328491313475400883334 absolute error = 5e-31 relative error = 1.2747835861252846687915373444300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.892 y[1] (analytic) = 3.9229868795638188550609965115578 y[1] (numeric) = 3.9229868795638188550609965115573 absolute error = 5e-31 relative error = 1.2745390574836513104430003627795e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.893 y[1] (analytic) = 3.9237403548557642604584511500807 y[1] (numeric) = 3.9237403548557642604584511500802 absolute error = 5e-31 relative error = 1.2742943079330739207126545702374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.894 y[1] (analytic) = 3.9244947994072740384572423650293 y[1] (numeric) = 3.9244947994072740384572423650288 absolute error = 5e-31 relative error = 1.2740493377020558464601264317221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.895 y[1] (analytic) = 3.9252502134639036170846387988589 y[1] (numeric) = 3.9252502134639036170846387988584 absolute error = 5e-31 relative error = 1.2738041470196278793858845410051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.896 y[1] (analytic) = 3.9260065972702389193289005560434 y[1] (numeric) = 3.9260065972702389193289005560429 absolute error = 5e-31 relative error = 1.2735587361153470989570800673328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.897 y[1] (analytic) = 3.9267639510698961185533765969746 y[1] (numeric) = 3.9267639510698961185533765969741 absolute error = 5e-31 relative error = 1.2733131052192957132100411344291e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.898 y[1] (analytic) = 3.9275222751055213948803516759602 y[1] (numeric) = 3.9275222751055213948803516759597 absolute error = 5e-31 relative error = 1.2730672545620798974391837353791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.899 y[1] (analytic) = 3.9282815696187906925448864394536 y[1] (numeric) = 3.9282815696187906925448864394531 absolute error = 5e-31 relative error = 1.2728211843748286307821172380329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = 3.9290418348504094782188933306545 y[1] (numeric) = 3.929041834850409478218893330654 absolute error = 5e-31 relative error = 1.2725748948891925307107378472538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.901 y[1] (analytic) = 3.9298030710401125003056899763847 y[1] (numeric) = 3.9298030710401125003056899763842 absolute error = 5e-31 relative error = 1.2723283863373426854381185624447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.902 y[1] (analytic) = 3.9305652784266635492052707616656 y[1] (numeric) = 3.9305652784266635492052707616651 absolute error = 5e-31 relative error = 1.2720816589519694842510192011816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.903 y[1] (analytic) = 3.9313284572478552185505363267054 y[1] (numeric) = 3.9313284572478552185505363267049 absolute error = 5e-31 relative error = 1.2718347129662814457778549523405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.904 y[1] (analytic) = 3.9320926077405086674147197500477 y[1] (numeric) = 3.9320926077405086674147197500472 absolute error = 5e-31 relative error = 1.2715875486140040442019766746990e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.905 y[1] (analytic) = 3.9328577301404733834902472104339 y[1] (numeric) = 3.9328577301404733834902472104334 absolute error = 5e-31 relative error = 1.2713401661293785334301307695064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.906 y[1] (analytic) = 3.9336238246826269472392699485007 y[1] (numeric) = 3.9336238246826269472392699485002 absolute error = 5e-31 relative error = 1.2710925657471607692259809278192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=377.6MB, alloc=4.4MB, time=18.14 TOP MAIN SOLVE Loop x[1] = 2.907 y[1] (analytic) = 3.9343908916008747970161033777597 y[1] (numeric) = 3.9343908916008747970161033777592 absolute error = 5e-31 relative error = 1.2708447477026200293185883853931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.908 y[1] (analytic) = 3.9351589311281499951618082224012 y[1] (numeric) = 3.9351589311281499951618082224008 absolute error = 4e-31 relative error = 1.0164773697852302651966092075800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.909 y[1] (analytic) = 3.9359279434964129950711475873217 y[1] (numeric) = 3.9359279434964129950711475873212 absolute error = 5e-31 relative error = 1.2703484595702067496921995928572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.91 y[1] (analytic) = 3.9366979289366514092321528933972 y[1] (numeric) = 3.9366979289366514092321528933968 absolute error = 4e-31 relative error = 1.0160799919643433824658957127370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.911 y[1] (analytic) = 3.9374688876788797782385306384198 y[1] (numeric) = 3.9374688876788797782385306384194 absolute error = 4e-31 relative error = 1.0158810428996131145504549656107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.912 y[1] (analytic) = 3.9382408199521393407751409712681 y[1] (numeric) = 3.9382408199521393407751409712677 absolute error = 4e-31 relative error = 1.0156819206522294912085103682021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.913 y[1] (analytic) = 3.9390137259844978045767780938167 y[1] (numeric) = 3.9390137259844978045767780938163 absolute error = 4e-31 relative error = 1.0154826254128524481582465261460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.914 y[1] (analytic) = 3.9397876060030491183604815317838 y[1] (numeric) = 3.9397876060030491183604815317834 absolute error = 4e-31 relative error = 1.0152831573725460066041356315444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.915 y[1] (analytic) = 3.9405624602339132447316063421865 y[1] (numeric) = 3.9405624602339132447316063421861 absolute error = 4e-31 relative error = 1.0150835167227773166498178969328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.916 y[1] (analytic) = 3.9413382889022359340638793513153 y[1] (numeric) = 3.9413382889022359340638793513149 absolute error = 4e-31 relative error = 1.0148837036554156991627019380219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.917 y[1] (analytic) = 3.9421150922321884993536675431529 y[1] (numeric) = 3.9421150922321884993536675431525 absolute error = 4e-31 relative error = 1.0146837183627316860983108746117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.918 y[1] (analytic) = 3.9428928704469675920486837439489 y[1] (numeric) = 3.9428928704469675920486837439485 absolute error = 4e-31 relative error = 1.0144835610373960592924101444080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.919 y[1] (analytic) = 3.9436716237687949788513537742275 y[1] (numeric) = 3.9436716237687949788513537742271 absolute error = 4e-31 relative error = 1.0142832318724788877289631366229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = 3.9444513524189173194970682648417 y[1] (numeric) = 3.9444513524189173194970682648413 absolute error = 4e-31 relative error = 1.0140827310614485632919707511390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.921 y[1] (analytic) = 3.9452320566176059455075413588037 y[1] (numeric) = 3.9452320566176059455075413588032 absolute error = 5e-31 relative error = 1.2673525734977135437615760932643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.922 y[1] (analytic) = 3.946013736584156639919497545514 y[1] (numeric) = 3.9460137365841566399194975455136 absolute error = 4e-31 relative error = 1.0136812152769078417963035371053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.923 y[1] (analytic) = 3.9467963925368894179889068986857 y[1] (numeric) = 3.9467963925368894179889068986853 absolute error = 4e-31 relative error = 1.0134802006923171437081371716703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.924 y[1] (analytic) = 3.9475800246931483088709880137076 y[1] (numeric) = 3.9475800246931483088709880137072 absolute error = 4e-31 relative error = 1.0132790152394507517075009445811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.925 y[1] (analytic) = 3.948364633269301138276196964428 y[1] (numeric) = 3.9483646332693011382761969644276 absolute error = 4e-31 relative error = 1.0130776591137541559572775557711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.926 y[1] (analytic) = 3.9491502184807393121024196233499 y[1] (numeric) = 3.9491502184807393121024196233495 absolute error = 4e-31 relative error = 1.0128761325110653526453602272139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.927 y[1] (analytic) = 3.9499367805418776010435837130283 y[1] (numeric) = 3.949936780541877601043583713028 absolute error = 3e-31 relative error = 7.5950582672071040201255010120607e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.928 y[1] (analytic) = 3.9507243196661539261749059800399 y[1] (numeric) = 3.9507243196661539261749059800395 absolute error = 4e-31 relative error = 1.0124725686600197889542329646579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.929 y[1] (analytic) = 3.9515128360660291455149889062584 y[1] (numeric) = 3.951512836066029145514988906258 absolute error = 4e-31 relative error = 1.0122705318052927721161255814710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = 3.9523023299529868415649803953237 y[1] (numeric) = 3.9523023299529868415649803953233 absolute error = 4e-31 relative error = 1.0120683252608310783053260010744e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.931 y[1] (analytic) = 3.9530928015375331098250088951248 y[1] (numeric) = 3.9530928015375331098250088951244 absolute error = 4e-31 relative error = 1.0118659492244205854117419327480e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.932 y[1] (analytic) = 3.9538842510291963482881054398456 y[1] (numeric) = 3.9538842510291963482881054398452 absolute error = 4e-31 relative error = 1.0116634038942338079359151337472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.933 y[1] (analytic) = 3.954676678636527047911823117633 y[1] (numeric) = 3.9546766786365270479118231176327 absolute error = 3e-31 relative error = 7.5859551710162168532660050251063e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.934 y[1] (analytic) = 3.9554700845670975840677634922511 y[1] (numeric) = 3.9554700845670975840677634922507 absolute error = 4e-31 relative error = 1.0112578061471487395692019196146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.4MB, time=18.33 x[1] = 2.935 y[1] (analytic) = 3.9562644690275020089692185291764 y[1] (numeric) = 3.956264469027502008969218529176 absolute error = 4e-31 relative error = 1.0110547541285198047470537828669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.936 y[1] (analytic) = 3.957059832223355845077135598477 y[1] (numeric) = 3.9570598322233558450771355984766 absolute error = 4e-31 relative error = 1.0108515336126513240607547434242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.937 y[1] (analytic) = 3.957856174359295879484612148491 y[1] (numeric) = 3.9578561743592958794846121484906 absolute error = 4e-31 relative error = 1.0106481447996342188367564909004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.938 y[1] (analytic) = 3.9586534956389799592801256657943 y[1] (numeric) = 3.958653495638979959280125665794 absolute error = 3e-31 relative error = 7.5783344091745509511472082598658e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.939 y[1] (analytic) = 3.95945179626508678788970355821 y[1] (numeric) = 3.9594517962650867878897035582096 absolute error = 4e-31 relative error = 1.0102408630844204106608169433174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.94 y[1] (analytic) = 3.9602510764393157223982366186717 y[1] (numeric) = 3.9602510764393157223982366186713 absolute error = 4e-31 relative error = 1.0100369705843051650543455358048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.941 y[1] (analytic) = 3.9610513363623865718501387486127 y[1] (numeric) = 3.9610513363623865718501387486123 absolute error = 4e-31 relative error = 1.0098329105912022225276725262045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.942 y[1] (analytic) = 3.9618525762340393965295546402019 y[1] (numeric) = 3.9618525762340393965295546402015 absolute error = 4e-31 relative error = 1.0096286833070961578959767882504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.943 y[1] (analytic) = 3.9626547962530343082203161372036 y[1] (numeric) = 3.9626547962530343082203161372032 absolute error = 4e-31 relative error = 1.0094242889343472913881123536440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.944 y[1] (analytic) = 3.9634579966171512714458470144878 y[1] (numeric) = 3.9634579966171512714458470144873 absolute error = 5e-31 relative error = 1.2615246595946133630656231168111e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.945 y[1] (analytic) = 3.9642621775231899056892149362694 y[1] (numeric) = 3.9642621775231899056892149362689 absolute error = 5e-31 relative error = 1.2612687496677939628140171905979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.946 y[1] (analytic) = 3.9650673391669692885935283730086 y[1] (numeric) = 3.9650673391669692885935283730082 absolute error = 4e-31 relative error = 1.0088101053134622928505701132726e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.947 y[1] (analytic) = 3.9658734817433277601428752765583 y[1] (numeric) = 3.9658734817433277601428752765579 absolute error = 4e-31 relative error = 1.0086050446172253651164503921917e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.948 y[1] (analytic) = 3.9666806054461227278239993326037 y[1] (numeric) = 3.9666806054461227278239993326033 absolute error = 4e-31 relative error = 1.0083998178497484353226987820120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.949 y[1] (analytic) = 3.9674887104682304727689086287021 y[1] (numeric) = 3.9674887104682304727689086287017 absolute error = 4e-31 relative error = 1.0081944252156252884808611532109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.95 y[1] (analytic) = 3.968297797001545956878610595298 y[1] (numeric) = 3.9682977970015459568786105952976 absolute error = 4e-31 relative error = 1.0079888669198184403995783098596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.951 y[1] (analytic) = 3.9691078652369826309281660959616 y[1] (numeric) = 3.9691078652369826309281660959612 absolute error = 4e-31 relative error = 1.0077831431676581304819418657265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.952 y[1] (analytic) = 3.9699189153644722436532545617817 y[1] (numeric) = 3.9699189153644722436532545617813 absolute error = 4e-31 relative error = 1.0075772541648413132691287618360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.953 y[1] (analytic) = 3.9707309475729646518184410833318 y[1] (numeric) = 3.9707309475729646518184410833313 absolute error = 5e-31 relative error = 1.2592140001467883109232958604269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.954 y[1] (analytic) = 3.9715439620504276312673353919252 y[1] (numeric) = 3.9715439620504276312673353919248 absolute error = 4e-31 relative error = 1.0071649812318534913654488011684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.955 y[1] (analytic) = 3.9723579589838466889548316799871 y[1] (numeric) = 3.9723579589838466889548316799866 absolute error = 5e-31 relative error = 1.2586982471436260974430776718545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.956 y[1] (analytic) = 3.9731729385592248759616172282843 y[1] (numeric) = 3.9731729385592248759616172282838 absolute error = 5e-31 relative error = 1.2584400622171581428156500420968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.957 y[1] (analytic) = 3.9739889009615826014911368254925 y[1] (numeric) = 3.973988900961582601491136825492 absolute error = 5e-31 relative error = 1.2581816720198072004354932940044e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.958 y[1] (analytic) = 3.9748058463749574478491989831182 y[1] (numeric) = 3.9748058463749574478491989831177 absolute error = 5e-31 relative error = 1.2579230768114182685863390742061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.959 y[1] (analytic) = 3.9756237749824039864064089661546 y[1] (numeric) = 3.9756237749824039864064089661541 absolute error = 5e-31 relative error = 1.2576642768522858724758649124486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = 3.9764426869659935945436126770238 y[1] (numeric) = 3.9764426869659935945436126770233 absolute error = 5e-31 relative error = 1.2574052724031527915031510583100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.961 y[1] (analytic) = 3.9772625825068142735805344473452 y[1] (numeric) = 3.9772625825068142735805344473446 absolute error = 6e-31 relative error = 1.5085752764702505420634498230351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.962 y[1] (analytic) = 3.9780834617849704676877908088768 y[1] (numeric) = 3.9780834617849704676877908088763 absolute error = 5e-31 relative error = 1.2568866510800893168267092695258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.4MB, time=18.52 x[1] = 2.963 y[1] (analytic) = 3.9789053249795828837824613316029 y[1] (numeric) = 3.9789053249795828837824613316024 absolute error = 5e-31 relative error = 1.2566270347298742777223986458136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.964 y[1] (analytic) = 3.9797281722687883124073966333786 y[1] (numeric) = 3.9797281722687883124073966333781 absolute error = 5e-31 relative error = 1.2563672149370867072709908449753e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.965 y[1] (analytic) = 3.980552003829739449594442681812 y[1] (numeric) = 3.9805520038297394495944426818115 absolute error = 5e-31 relative error = 1.2561071919646915136427112036854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.966 y[1] (analytic) = 3.9813768198386047197117595251418 y[1] (numeric) = 3.9813768198386047197117595251413 absolute error = 5e-31 relative error = 1.2558469660760941922319695550226e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.967 y[1] (analytic) = 3.9822026204705680992954116047792 y[1] (numeric) = 3.9822026204705680992954116047787 absolute error = 5e-31 relative error = 1.2555865375351395428319974350369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.968 y[1] (analytic) = 3.9830294058998289418654058179075 y[1] (numeric) = 3.9830294058998289418654058179071 absolute error = 4e-31 relative error = 1.0042607252848883083276945970367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.969 y[1] (analytic) = 3.9838571762996018037263525140878 y[1] (numeric) = 3.9838571762996018037263525140873 absolute error = 5e-31 relative error = 1.2550650735537262744906586779894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = 3.9846859318421162707529236251939 y[1] (numeric) = 3.9846859318421162707529236251934 absolute error = 5e-31 relative error = 1.2548040386431422121665150661852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.971 y[1] (analytic) = 3.985515672698616786160281143206 y[1] (numeric) = 3.9855156726986167861602811432056 absolute error = 4e-31 relative error = 1.0036342417119578877859148960449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.972 y[1] (analytic) = 3.9863463990393624792596481754184 y[1] (numeric) = 3.986346399039362479259648175418 absolute error = 4e-31 relative error = 1.0034250914481309983741988323438e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.973 y[1] (analytic) = 3.9871781110336269951991938214763 y[1] (numeric) = 3.9871781110336269951991938214759 absolute error = 4e-31 relative error = 1.0032157803361959888555576127141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.974 y[1] (analytic) = 3.9880108088496983256904021313438 y[1] (numeric) = 3.9880108088496983256904021313434 absolute error = 4e-31 relative error = 1.0030063085896599753985559192052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.975 y[1] (analytic) = 3.9888444926548786407200944178183 y[1] (numeric) = 3.9888444926548786407200944178179 absolute error = 4e-31 relative error = 1.0027966764223732679990092328177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.976 y[1] (analytic) = 3.9896791626154841212482732115566 y[1] (numeric) = 3.9896791626154841212482732115562 absolute error = 4e-31 relative error = 1.0025868840485283344436374383239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.977 y[1] (analytic) = 3.9905148188968447928919551607535 y[1] (numeric) = 3.990514818896844792891955160753 absolute error = 5e-31 relative error = 1.2529711646033234540370376135795e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.978 y[1] (analytic) = 3.9913514616633043605951591916264 y[1] (numeric) = 3.991351461663304360595159191626 absolute error = 4e-31 relative error = 1.0021668195396382254485646705231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.979 y[1] (analytic) = 3.9921890910782200442852152597056 y[1] (numeric) = 3.9921890910782200442852152597052 absolute error = 4e-31 relative error = 1.0019565478346794356431224396664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = 3.9930277073039624155155580356046 y[1] (numeric) = 3.9930277073039624155155580356042 absolute error = 4e-31 relative error = 1.0017461167833331116450496934885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.981 y[1] (analytic) = 3.9938673105019152350951688824665 y[1] (numeric) = 3.9938673105019152350951688824661 absolute error = 4e-31 relative error = 1.0015355266014869334028152571885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.982 y[1] (analytic) = 3.9947079008324752917048284956287 y[1] (numeric) = 3.9947079008324752917048284956283 absolute error = 4e-31 relative error = 1.0013247775053645008074180333847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.983 y[1] (analytic) = 3.995549478455052241500341588241 y[1] (numeric) = 3.9955494784550522415003415882406 absolute error = 4e-31 relative error = 1.0011138697115242905248012409895e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.984 y[1] (analytic) = 3.9963920435280684487028940195983 y[1] (numeric) = 3.9963920435280684487028940195979 absolute error = 4e-31 relative error = 1.0009028034368586118433327118186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.985 y[1] (analytic) = 3.997235596208958827176701775818 y[1] (numeric) = 3.9972355962089588271767017758175 absolute error = 5e-31 relative error = 1.2508644736232407019310165297520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.986 y[1] (analytic) = 3.9980801366541706829941102251996 y[1] (numeric) = 3.9980801366541706829941102251992 absolute error = 4e-31 relative error = 1.0004801963142829778074773498739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.987 y[1] (analytic) = 3.9989256650191635579883010831549 y[1] (numeric) = 3.9989256650191635579883010831545 absolute error = 4e-31 relative error = 1.0002686559018173931494536895597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.988 y[1] (analytic) = 3.9997721814584090742937635339871 y[1] (numeric) = 3.9997721814584090742937635339867 absolute error = 4e-31 relative error = 1.0000569578794129864211536259735e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.989 y[1] (analytic) = 4.0006196861253907798746849690367 y[1] (numeric) = 4.0006196861253907798746849690363 absolute error = 4e-31 relative error = 9.9984510246561553385505991458639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = 4.0014681791726039950414158127892 y[1] (numeric) = 4.0014681791726039950414158127887 absolute error = 5e-31 relative error = 1.2495413623491229489767355771155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.4MB, time=18.69 x[1] = 2.991 y[1] (analytic) = 4.0023176607515556599551619204675 y[1] (numeric) = 4.0023176607515556599551619204671 absolute error = 4e-31 relative error = 9.9942092033966128281809859018732e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.992 y[1] (analytic) = 4.0031681310127641831210570424045 y[1] (numeric) = 4.0031681310127641831210570424041 absolute error = 4e-31 relative error = 9.9920859406622957014372891811569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.993 y[1] (analytic) = 4.004019590105759290869766862109 y[1] (numeric) = 4.0040195901057592908697668621086 absolute error = 4e-31 relative error = 9.9899611127885287886153769156535e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.994 y[1] (analytic) = 4.0048720381790818778277751264104 y[1] (numeric) = 4.00487203817908187782777512641 absolute error = 4e-31 relative error = 9.9878347219770420546342801798147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.995 y[1] (analytic) = 4.0057254753802838583765013973824 y[1] (numeric) = 4.0057254753802838583765013973821 absolute error = 3e-31 relative error = 7.4892800778245912310160495421137e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.996 y[1] (analytic) = 4.0065799018559280191003989669161 y[1] (numeric) = 4.0065799018559280191003989669158 absolute error = 3e-31 relative error = 7.4876829452729494858514449728398e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.997 y[1] (analytic) = 4.0074353177515878722241804858316 y[1] (numeric) = 4.0074353177515878722241804858313 absolute error = 3e-31 relative error = 7.4860846454863814262304616222150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.998 y[1] (analytic) = 4.0082917232118475100393178702908 y[1] (numeric) = 4.0082917232118475100393178702906 absolute error = 2e-31 relative error = 4.9896567867505370276603779672526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.999 y[1] (analytic) = 4.009149118380301460319962059 y[1] (numeric) = 4.0091491183803014603199620589998 absolute error = 2e-31 relative error = 4.9885897005696838368226110398864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = 4.0100075033995545427284272052687 y[1] (numeric) = 4.0100075033995545427284272052685 absolute error = 2e-31 relative error = 4.9875218395588156564222352113463e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.001 y[1] (analytic) = 4.0108668784112217262103828984302 y[1] (numeric) = 4.01086687841122172621038289843 absolute error = 2e-31 relative error = 4.9864532048299664622881869620448e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.002 y[1] (analytic) = 4.0117272435559279873798970194191 y[1] (numeric) = 4.0117272435559279873798970194189 absolute error = 2e-31 relative error = 4.9853837974967446258013924192891e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.003 y[1] (analytic) = 4.0125885989733081698944708454509 y[1] (numeric) = 4.0125885989733081698944708454507 absolute error = 2e-31 relative error = 4.9843136186743276076138625294571e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.004 y[1] (analytic) = 4.0134509448020068448202070287575 y[1] (numeric) = 4.0134509448020068448202070287573 absolute error = 2e-31 relative error = 4.9832426694794566472910538676712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.005 y[1] (analytic) = 4.0143142811796781719872500841983 y[1] (numeric) = 4.0143142811796781719872500841981 absolute error = 2e-31 relative error = 4.9821709510304314489199488815565e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.006 y[1] (analytic) = 4.0151786082429857623356380302954 y[1] (numeric) = 4.0151786082429857623356380302952 absolute error = 2e-31 relative error = 4.9810984644471048627253107339036e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.007 y[1] (analytic) = 4.0160439261276025412517028378293 y[1] (numeric) = 4.0160439261276025412517028378291 absolute error = 2e-31 relative error = 4.9800252108508775627365687266844e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.008 y[1] (analytic) = 4.0169102349682106128951563495837 y[1] (numeric) = 4.0169102349682106128951563495835 absolute error = 2e-31 relative error = 4.9789511913646927205477905565338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.009 y[1] (analytic) = 4.0177775348985011255169973441422 y[1] (numeric) = 4.0177775348985011255169973441419 absolute error = 3e-31 relative error = 7.4668146106695460128197960552695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (analytic) = 4.0186458260511741377683744258176 y[1] (numeric) = 4.0186458260511741377683744258173 absolute error = 3e-31 relative error = 7.4652012888328553989810151370607e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.011 y[1] (analytic) = 4.0195151085579384860005384318419 y[1] (numeric) = 4.0195151085579384860005384318416 absolute error = 3e-31 relative error = 7.4635868232282752419286211689807e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.012 y[1] (analytic) = 4.0203853825495116525560170568508 y[1] (numeric) = 4.0203853825495116525560170568505 absolute error = 3e-31 relative error = 7.4619712155493952758626412796923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.013 y[1] (analytic) = 4.0212566481556196350511434034797 y[1] (numeric) = 4.0212566481556196350511434034794 absolute error = 3e-31 relative error = 7.4603544674920789488531833171260e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.014 y[1] (analytic) = 4.0221289055049968166500691765296 y[1] (numeric) = 4.0221289055049968166500691765293 absolute error = 3e-31 relative error = 7.4587365807544553996554663874846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.015 y[1] (analytic) = 4.0230021547253858373303922466805 y[1] (numeric) = 4.0230021547253858373303922466802 absolute error = 3e-31 relative error = 7.4571175570369114291102144261169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.016 y[1] (analytic) = 4.0238763959435374661405273181133 y[1] (numeric) = 4.023876395943537466140527318113 absolute error = 3e-31 relative error = 7.4554973980420834661930708113613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.017 y[1] (analytic) = 4.0247516292852104744489474426586 y[1] (numeric) = 4.0247516292852104744489474426583 absolute error = 3e-31 relative error = 7.4538761054748495287766850557555e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.018 y[1] (analytic) = 4.025627854875171510185423131221 y[1] (numeric) = 4.0256278548751715101854231312207 absolute error = 3e-31 relative error = 7.4522536810423211791691148179167e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.4MB, time=18.88 x[1] = 3.019 y[1] (analytic) = 4.0265050728371949730743848212288 y[1] (numeric) = 4.0265050728371949730743848212286 absolute error = 2e-31 relative error = 4.9670867509692236496614519160332e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (analytic) = 4.027383283294062890860533466737 y[1] (numeric) = 4.0273832832940628908605334667367 absolute error = 3e-31 relative error = 7.4490054434209469119633792715829e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.021 y[1] (analytic) = 4.0282624863675647965268230255608 y[1] (numeric) = 4.0282624863675647965268230255606 absolute error = 2e-31 relative error = 4.9649197557716129127633524400195e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.022 y[1] (analytic) = 4.02914268217849760650493762545 y[1] (numeric) = 4.0291426821784976065049376254498 absolute error = 2e-31 relative error = 4.9638351325861453594827678380021e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.023 y[1] (analytic) = 4.0300238708466654998783851988134 y[1] (numeric) = 4.0300238708466654998783851988132 absolute error = 2e-31 relative error = 4.9627497605363342409245253743887e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.024 y[1] (analytic) = 4.0309060524908797985783283828928 y[1] (numeric) = 4.0309060524908797985783283828926 absolute error = 2e-31 relative error = 4.9616636407690752975668361827302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.025 y[1] (analytic) = 4.0317892272289588485722724895431 y[1] (numeric) = 4.0317892272289588485722724895429 absolute error = 2e-31 relative error = 4.9605767744327156647446262814309e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.026 y[1] (analytic) = 4.0326733951777279020457293559223 y[1] (numeric) = 4.0326733951777279020457293559221 absolute error = 2e-31 relative error = 4.9594891626770484833421222857028e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.027 y[1] (analytic) = 4.0335585564530190005769748944169 y[1] (numeric) = 4.0335585564530190005769748944168 absolute error = 1e-31 relative error = 2.4792004033266537536922585963342e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.028 y[1] (analytic) = 4.0344447111696708593050171670362 y[1] (numeric) = 4.0344447111696708593050171670361 absolute error = 1e-31 relative error = 2.4786558537570808542855317190020e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.029 y[1] (analytic) = 4.0353318594415287520908908162963 y[1] (numeric) = 4.0353318594415287520908908162962 absolute error = 1e-31 relative error = 2.4781109332068549388959646541408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.03 y[1] (analytic) = 4.0362200013814443976723926912916 y[1] (numeric) = 4.0362200013814443976723926912915 absolute error = 1e-31 relative error = 2.4775656422537376118355715728516e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.031 y[1] (analytic) = 4.0371091371012758468123725142075 y[1] (numeric) = 4.0371091371012758468123725142075 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.032 y[1] (analytic) = 4.0379992667118873704406914389747 y[1] (numeric) = 4.0379992667118873704406914389747 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.033 y[1] (analytic) = 4.0388903903231493487899603600967 y[1] (numeric) = 4.0388903903231493487899603600967 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.034 y[1] (analytic) = 4.0397825080439381615251688359039 y[1] (numeric) = 4.0397825080439381615251688359039 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.035 y[1] (analytic) = 4.0406756199821360788673144965952 y[1] (numeric) = 4.0406756199821360788673144965952 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.036 y[1] (analytic) = 4.0415697262446311537111418134292 y[1] (numeric) = 4.0415697262446311537111418134293 absolute error = 1e-31 relative error = 2.4742861505180209092815430144238e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.037 y[1] (analytic) = 4.0424648269373171147370981113176 y[1] (numeric) = 4.0424648269373171147370981113177 absolute error = 1e-31 relative error = 2.4737382829812463456624062764031e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.038 y[1] (analytic) = 4.0433609221650932605176137128544 y[1] (numeric) = 4.0433609221650932605176137128545 absolute error = 1e-31 relative error = 2.4731900496889881627087471450571e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.039 y[1] (analytic) = 4.0442580120318643546178121074938 y[1] (numeric) = 4.0442580120318643546178121074939 absolute error = 1e-31 relative error = 2.4726414512252960768704426580966e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (analytic) = 4.0451560966405405216907550451568 y[1] (numeric) = 4.0451560966405405216907550451569 absolute error = 1e-31 relative error = 2.4720924881749049290474277162039e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.041 y[1] (analytic) = 4.0460551760930371445673264590127 y[1] (numeric) = 4.0460551760930371445673264590128 absolute error = 1e-31 relative error = 2.4715431611232319688994253190745e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.042 y[1] (analytic) = 4.0469552504902747623408581275434 y[1] (numeric) = 4.0469552504902747623408581275435 absolute error = 1e-31 relative error = 2.4709934706563741379221166278444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.043 y[1] (analytic) = 4.0478563199321789694465989912566 y[1] (numeric) = 4.0478563199321789694465989912567 absolute error = 1e-31 relative error = 2.4704434173611053513108133062578e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.044 y[1] (analytic) = 4.048758384517680315736129044569 y[1] (numeric) = 4.0487583845176803157361290445692 absolute error = 2e-31 relative error = 4.9397860036497475572653701687629e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.045 y[1] (analytic) = 4.0496614443447142075468177284391 y[1] (numeric) = 4.0496614443447142075468177284392 absolute error = 1e-31 relative error = 2.4693422246357991233285857205046e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.046 y[1] (analytic) = 4.0505654995102208097664257542806 y[1] (numeric) = 4.0505654995102208097664257542807 absolute error = 1e-31 relative error = 2.4687910863826699010655105095873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.047 y[1] (analytic) = 4.0514705501101449488929482945491 y[1] (numeric) = 4.0514705501101449488929482945492 absolute error = 1e-31 relative error = 2.4682395876549407169607082007426e-30 % Correct digits = 31 h = 0.001 memory used=396.7MB, alloc=4.4MB, time=19.07 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.048 y[1] (analytic) = 4.0523765962394360170897964801488 y[1] (numeric) = 4.0523765962394360170897964801488 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.049 y[1] (analytic) = 4.05328363799204787723641314947 y[1] (numeric) = 4.05328363799204787723641314947 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (analytic) = 4.0541916754609387689744177984351 y[1] (numeric) = 4.0541916754609387689744177984351 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.051 y[1] (analytic) = 4.0551007087380712157493746853986 y[1] (numeric) = 4.0551007087380712157493746853986 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.052 y[1] (analytic) = 4.0560107379144119328482770491262 y[1] (numeric) = 4.0560107379144119328482770491262 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.053 y[1] (analytic) = 4.0569217630799317364328394023608 y[1] (numeric) = 4.0569217630799317364328394023608 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.054 y[1] (analytic) = 4.0578337843236054535686888676761 y[1] (numeric) = 4.0578337843236054535686888676761 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.055 y[1] (analytic) = 4.0587468017334118332505455264178 y[1] (numeric) = 4.0587468017334118332505455264178 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.056 y[1] (analytic) = 4.0596608153963334584234807555459 y[1] (numeric) = 4.0596608153963334584234807555459 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.057 y[1] (analytic) = 4.0605758253983566590003415311114 y[1] (numeric) = 4.0605758253983566590003415311114 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.058 y[1] (analytic) = 4.061491831824471425875427680937 y[1] (numeric) = 4.061491831824471425875427680937 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.059 y[1] (analytic) = 4.0624088347586713259345080728159 y[1] (numeric) = 4.0624088347586713259345080728159 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (analytic) = 4.0633268342839534180612607282068 y[1] (numeric) = 4.0633268342839534180612607282068 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.061 y[1] (analytic) = 4.0642458304823181701402208549772 y[1] (numeric) = 4.0642458304823181701402208549772 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.062 y[1] (analytic) = 4.0651658234347693770563197962401 y[1] (numeric) = 4.0651658234347693770563197962401 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.063 y[1] (analytic) = 4.066086813221314079691096895739 y[1] (numeric) = 4.066086813221314079691096895739 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.064 y[1] (analytic) = 4.0670087999209624849156652835614 y[1] (numeric) = 4.0670087999209624849156652835614 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.065 y[1] (analytic) = 4.0679317836117278865805115892097 y[1] (numeric) = 4.0679317836117278865805115892097 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.066 y[1] (analytic) = 4.068855764370626587502208592222 y[1] (numeric) = 4.0688557643706265875022085922219 absolute error = 1e-31 relative error = 2.4576934104094021353403025829434e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.067 y[1] (analytic) = 4.0697807422736778224471188236241 y[1] (numeric) = 4.069780742273677822447118823624 absolute error = 1e-31 relative error = 2.4571348269767641185359024724845e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.068 y[1] (analytic) = 4.0707067173959036821121661345034 y[1] (numeric) = 4.0707067173959036821121661345034 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.069 y[1] (analytic) = 4.0716336898113290381027512509257 y[1] (numeric) = 4.0716336898113290381027512509257 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (analytic) = 4.0725616595929814689078863372732 y[1] (numeric) = 4.0725616595929814689078863372732 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.071 y[1] (analytic) = 4.073490626812891186872622592864 y[1] (numeric) = 4.073490626812891186872622592864 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.072 y[1] (analytic) = 4.0744205915420909661678439094182 y[1] (numeric) = 4.0744205915420909661678439094182 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.073 y[1] (analytic) = 4.075351553850616071757498619572 y[1] (numeric) = 4.0753515538506160717574986195719 absolute error = 1e-31 relative error = 2.4537760406342001443876585145817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.074 y[1] (analytic) = 4.0762835138075041893633403692007 y[1] (numeric) = 4.0762835138075041893633403692006 absolute error = 1e-31 relative error = 2.4532150342652131867113605644029e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.075 y[1] (analytic) = 4.0772164714807953564272481488058 y[1] (numeric) = 4.0772164714807953564272481488058 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.076 y[1] (analytic) = 4.078150426937531894071194521639 y[1] (numeric) = 4.0781504269375318940711945216389 absolute error = 1e-31 relative error = 2.4520919910032483807251101308817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=400.5MB, alloc=4.5MB, time=19.25 TOP MAIN SOLVE Loop x[1] = 3.077 y[1] (analytic) = 4.0790853802437583400549300885888 y[1] (numeric) = 4.0790853802437583400549300885888 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.078 y[1] (analytic) = 4.0800213314645213827314512321423 y[1] (numeric) = 4.0800213314645213827314512321423 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.079 y[1] (analytic) = 4.0809582806638697960003171839451 y[1] (numeric) = 4.0809582806638697960003171839451 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.08 y[1] (analytic) = 4.0818962279048543752588814626402 y[1] (numeric) = 4.0818962279048543752588814626402 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.081 y[1] (analytic) = 4.0828351732495278743515017307469 y[1] (numeric) = 4.0828351732495278743515017307469 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.082 y[1] (analytic) = 4.0837751167589449435167911213663 y[1] (numeric) = 4.0837751167589449435167911213662 absolute error = 1e-31 relative error = 2.4487146608446008244976426120889e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.083 y[1] (analytic) = 4.0847160584931620683329730874548 y[1] (numeric) = 4.0847160584931620683329730874547 absolute error = 1e-31 relative error = 2.4481505830025713368436729689641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.084 y[1] (analytic) = 4.0856579985112375096614008283084 y[1] (numeric) = 4.0856579985112375096614008283083 absolute error = 1e-31 relative error = 2.4475861669390522841634052105146e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.085 y[1] (analytic) = 4.0866009368712312445883013497305 y[1] (numeric) = 4.0866009368712312445883013497304 absolute error = 1e-31 relative error = 2.4470214132667830643753751850807e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.086 y[1] (analytic) = 4.0875448736302049083648032161363 y[1] (numeric) = 4.0875448736302049083648032161362 absolute error = 1e-31 relative error = 2.4464563225990623191864258405243e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.087 y[1] (analytic) = 4.0884898088442217373453060545606 y[1] (numeric) = 4.0884898088442217373453060545605 absolute error = 1e-31 relative error = 2.4458908955497451832713306879897e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.088 y[1] (analytic) = 4.0894357425683465129242488721939 y[1] (numeric) = 4.0894357425683465129242488721938 absolute error = 1e-31 relative error = 2.4453251327332405331740353142435e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.089 y[1] (analytic) = 4.0903826748566455064713332506756 y[1] (numeric) = 4.0903826748566455064713332506754 absolute error = 2e-31 relative error = 4.8895180695290164719017632081817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (analytic) = 4.0913306057621864252652564819142 y[1] (numeric) = 4.0913306057621864252652564819141 absolute error = 1e-31 relative error = 2.4441926022590563975761584658500e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.091 y[1] (analytic) = 4.0922795353370383594260087116997 y[1] (numeric) = 4.0922795353370383594260087116995 absolute error = 2e-31 relative error = 4.8872516716658772222606035040359e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.092 y[1] (analytic) = 4.0932294636322717298457871588031 y[1] (numeric) = 4.0932294636322717298457871588029 absolute error = 2e-31 relative error = 4.8861174722055024095820894695307e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.093 y[1] (analytic) = 4.0941803906979582371185794786483 y[1] (numeric) = 4.0941803906979582371185794786481 absolute error = 2e-31 relative error = 4.8849826073712609792955978648600e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.094 y[1] (analytic) = 4.0951323165831708114684673419657 y[1] (numeric) = 4.0951323165831708114684673419655 absolute error = 2e-31 relative error = 4.8838470783985000147190465788721e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.095 y[1] (analytic) = 4.096085241335983563676700300121 y[1] (numeric) = 4.0960852413359835636767003001209 absolute error = 1e-31 relative error = 2.4413554432618177776763176887320e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.096 y[1] (analytic) = 4.097039165003471737007589010042 y[1] (numeric) = 4.0970391650034717370075890100419 absolute error = 1e-31 relative error = 2.4407870164920735458449545236128e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.097 y[1] (analytic) = 4.0979940876317116601332658928442 y[1] (numeric) = 4.0979940876317116601332658928441 absolute error = 1e-31 relative error = 2.4402182595092860299185395753689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.098 y[1] (analytic) = 4.0989500092657807010573603013925 y[1] (numeric) = 4.0989500092657807010573603013924 absolute error = 1e-31 relative error = 2.4396491729332501679904707352804e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.099 y[1] (analytic) = 4.0999069299497572220376342731192 y[1] (numeric) = 4.0999069299497572220376342731191 absolute error = 1e-31 relative error = 2.4390797573842843653728401747669e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (analytic) = 4.1008648497267205355076239454585 y[1] (numeric) = 4.1008648497267205355076239454584 absolute error = 1e-31 relative error = 2.4385100134832277417394024067024e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.101 y[1] (analytic) = 4.101823768638750860997330712253 y[1] (numeric) = 4.1018237686387508609973307122529 absolute error = 1e-31 relative error = 2.4379399418514373782532072947333e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.102 y[1] (analytic) = 4.1027836867269292830530052004372 y[1] (numeric) = 4.1027836867269292830530052004371 absolute error = 1e-31 relative error = 2.4373695431107855646989734566071e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.103 y[1] (analytic) = 4.1037446040313377101560661472105 y[1] (numeric) = 4.1037446040313377101560661472103 absolute error = 2e-31 relative error = 4.8735976357673140932805073454804e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.104 y[1] (analytic) = 4.1047065205910588346411952587771 y[1] (numeric) = 4.1047065205910588346411952587769 absolute error = 2e-31 relative error = 4.8724555335858925452428397065089e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.5MB, time=19.43 x[1] = 3.105 y[1] (analytic) = 4.1056694364441760936136481325557 y[1] (numeric) = 4.1056694364441760936136481325555 absolute error = 2e-31 relative error = 4.8713127809241092828689416724200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.106 y[1] (analytic) = 4.1066333516277736308658203255431 y[1] (numeric) = 4.1066333516277736308658203255429 absolute error = 2e-31 relative error = 4.8701693790297754989412835749755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.107 y[1] (analytic) = 4.1075982661779362597931066522643 y[1] (numeric) = 4.1075982661779362597931066522641 absolute error = 2e-31 relative error = 4.8690253291517052763535384989038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.108 y[1] (analytic) = 4.1085641801297494273090907964448 y[1] (numeric) = 4.1085641801297494273090907964446 absolute error = 2e-31 relative error = 4.8678806325397100832726818837814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.109 y[1] (analytic) = 4.1095310935172991787601013212146 y[1] (numeric) = 4.1095310935172991787601013212145 absolute error = 1e-31 relative error = 2.4333676452222966342951342555209e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.11 y[1] (analytic) = 4.1104990063736721238391691632832 y[1] (numeric) = 4.110499006373672123839169163283 absolute error = 2e-31 relative error = 4.8655893041181445577026439925834e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.111 y[1] (analytic) = 4.1114679187309554034994206971256 y[1] (numeric) = 4.1114679187309554034994206971254 absolute error = 2e-31 relative error = 4.8644426748131345486597966771508e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.112 y[1] (analytic) = 4.1124378306202366578669394557848 y[1] (numeric) = 4.1124378306202366578669394557847 absolute error = 1e-31 relative error = 2.4316477018916546043612521278295e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.113 y[1] (analytic) = 4.1134087420716039951531285954248 y[1] (numeric) = 4.1134087420716039951531285954247 absolute error = 1e-31 relative error = 2.4310737461416921856836886392079e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.114 y[1] (analytic) = 4.1143806531141459615666051912694 y[1] (numeric) = 4.1143806531141459615666051912693 absolute error = 1e-31 relative error = 2.4304994707845201168896746486353e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.115 y[1] (analytic) = 4.1153535637759515122246564530306 y[1] (numeric) = 4.1153535637759515122246564530306 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.116 y[1] (analytic) = 4.116327474084109983064286948368 y[1] (numeric) = 4.116327474084109983064286948368 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.117 y[1] (analytic) = 4.1173023840647110637528849233284 y[1] (numeric) = 4.1173023840647110637528849233283 absolute error = 1e-31 relative error = 2.4287747333553219547521209413063e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.118 y[1] (analytic) = 4.1182782937428447715985348090982 y[1] (numeric) = 4.1182782937428447715985348090982 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.119 y[1] (analytic) = 4.1192552031426014264600020047543 y[1] (numeric) = 4.1192552031426014264600020047542 absolute error = 1e-31 relative error = 2.4276233218983246014218192856076e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.12 y[1] (analytic) = 4.1202331122870716266564150260244 y[1] (numeric) = 4.1202331122870716266564150260243 absolute error = 1e-31 relative error = 2.4270471421091922987640197587677e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.121 y[1] (analytic) = 4.1212120211983462258766691103758 y[1] (numeric) = 4.1212120211983462258766691103757 absolute error = 1e-31 relative error = 2.4264706471210010830314013716683e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.122 y[1] (analytic) = 4.122191929897516311088574369024 y[1] (numeric) = 4.1221919298975163110885743690239 absolute error = 1e-31 relative error = 2.4258938375653494982658878232230e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.123 y[1] (analytic) = 4.1231728384046731814477705767133 y[1] (numeric) = 4.1231728384046731814477705767132 absolute error = 1e-31 relative error = 2.4253167140742935232969010710742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.124 y[1] (analytic) = 4.124154746738908328206429690352 y[1] (numeric) = 4.1241547467389083282064296903519 absolute error = 1e-31 relative error = 2.4247392772803438240065288228021e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.125 y[1] (analytic) = 4.1251376549183134156217661877978 y[1] (numeric) = 4.1251376549183134156217661877977 absolute error = 1e-31 relative error = 2.4241615278164630060541452883920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.126 y[1] (analytic) = 4.1261215629599802628643743182821 y[1] (numeric) = 4.126121562959980262864374318282 absolute error = 1e-31 relative error = 2.4235834663160628680799284911120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.127 y[1] (analytic) = 4.127106470880000826926410356134 y[1] (numeric) = 4.1271064708800008269264103561339 absolute error = 1e-31 relative error = 2.4230050934130016554066884474147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.128 y[1] (analytic) = 4.1280923786934671865296369496201 y[1] (numeric) = 4.1280923786934671865296369496201 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.129 y[1] (analytic) = 4.1290792864144715270333456568556 y[1] (numeric) = 4.1290792864144715270333456568556 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (analytic) = 4.1300671940561061263421727608608 y[1] (numeric) = 4.1300671940561061263421727608608 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.131 y[1] (analytic) = 4.1310561016304633418138224559484 y[1] (numeric) = 4.1310561016304633418138224559485 absolute error = 1e-31 relative error = 2.4206885004667828495571964067623e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.132 y[1] (analytic) = 4.1320460091486355981667104977158 y[1] (numeric) = 4.1320460091486355981667104977158 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.5MB, time=19.62 x[1] = 3.133 y[1] (analytic) = 4.1330369166207153763875404089974 y[1] (numeric) = 4.1330369166207153763875404089975 absolute error = 1e-31 relative error = 2.4195283520903740091954935017938e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.134 y[1] (analytic) = 4.1340288240557952036388233342021 y[1] (numeric) = 4.1340288240557952036388233342021 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.135 y[1] (analytic) = 4.1350217314619676441663516345117 y[1] (numeric) = 4.1350217314619676441663516345117 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.136 y[1] (analytic) = 4.1360156388463252912066353164697 y[1] (numeric) = 4.1360156388463252912066353164697 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.137 y[1] (analytic) = 4.1370105462149607598943093865202 y[1] (numeric) = 4.1370105462149607598943093865203 absolute error = 1e-31 relative error = 2.4172043769985583958191193796008e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.138 y[1] (analytic) = 4.1380064535729666811695192240912 y[1] (numeric) = 4.1380064535729666811695192240913 absolute error = 1e-31 relative error = 2.4166226206258059108495174337372e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.139 y[1] (analytic) = 4.1390033609244356966852900658346 y[1] (numeric) = 4.1390033609244356966852900658347 absolute error = 1e-31 relative error = 2.4160405604905152483961819833344e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (analytic) = 4.140001268272460454714885693655 y[1] (numeric) = 4.140001268272460454714885693655 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.141 y[1] (analytic) = 4.141000175619133607059160419166 y[1] (numeric) = 4.1410001756191336070591604191661 absolute error = 1e-31 relative error = 2.4148755314903770564533858583020e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.142 y[1] (analytic) = 4.1420000829655478069539074572243 y[1] (numeric) = 4.1420000829655478069539074572244 absolute error = 1e-31 relative error = 2.4142925639055757772377187597773e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.143 y[1] (analytic) = 4.14300099031179570797720578119 y[1] (numeric) = 4.1430009903117957079772057811902 absolute error = 2e-31 relative error = 4.8274185902366466977249841523621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.144 y[1] (analytic) = 4.1440028976569699639567665525696 y[1] (numeric) = 4.1440028976569699639567665525698 absolute error = 2e-31 relative error = 4.8262514515392960059110538905657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.145 y[1] (analytic) = 4.1450058049991632298772792176922 y[1] (numeric) = 4.1450058049991632298772792176923 absolute error = 1e-31 relative error = 2.4125418565009750916248314747312e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.146 y[1] (analytic) = 4.1460097123354681637877563640745 y[1] (numeric) = 4.1460097123354681637877563640746 absolute error = 1e-31 relative error = 2.4119576879541243542770233761654e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.147 y[1] (analytic) = 4.1470146196619774297088754291302 y[1] (numeric) = 4.1470146196619774297088754291303 absolute error = 1e-31 relative error = 2.4113732207713071853159525709953e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.148 y[1] (analytic) = 4.148020526973783701540314353881 y[1] (numeric) = 4.1480205269737837015403143538811 absolute error = 1e-31 relative error = 2.4107884555951239027402832291837e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.149 y[1] (analytic) = 4.1490274342649796679680772743346 y[1] (numeric) = 4.1490274342649796679680772743348 absolute error = 2e-31 relative error = 4.8204067861371220353175227821440e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (analytic) = 4.1500353415286580383718053432053 y[1] (numeric) = 4.1500353415286580383718053432054 absolute error = 1e-31 relative error = 2.4096180338349885047418608238948e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.151 y[1] (analytic) = 4.1510442487569115497320667746644 y[1] (numeric) = 4.1510442487569115497320667746645 absolute error = 1e-31 relative error = 2.4090323785381570736284660799829e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.152 y[1] (analytic) = 4.1520541559408329745376192048341 y[1] (numeric) = 4.1520541559408329745376192048342 absolute error = 1e-31 relative error = 2.4084464278221954413062178535904e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.153 y[1] (analytic) = 4.1530650630705151296926364607608 y[1] (numeric) = 4.153065063070515129692636460761 absolute error = 2e-31 relative error = 4.8157203646632152109682233573160e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.154 y[1] (analytic) = 4.1540769701350508864238908306427 y[1] (numeric) = 4.1540769701350508864238908306429 absolute error = 2e-31 relative error = 4.8145472854225402379518135429512e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.155 y[1] (analytic) = 4.1550898771225331811878809281299 y[1] (numeric) = 4.15508987712253318118788092813 absolute error = 1e-31 relative error = 2.4066868096064293651128674009990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.156 y[1] (analytic) = 4.1561037840200550275778942435707 y[1] (numeric) = 4.1561037840200550275778942435708 absolute error = 1e-31 relative error = 2.4060996836626988342043245663427e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.157 y[1] (analytic) = 4.1571186908137095292309924751421 y[1] (numeric) = 4.1571186908137095292309924751422 absolute error = 1e-31 relative error = 2.4055122655260564010645109765831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.158 y[1] (analytic) = 4.15813459748858989373490673288 y[1] (numeric) = 4.1581345974885898937349067328801 absolute error = 1e-31 relative error = 2.4049245558428416036240873633057e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.159 y[1] (analytic) = 4.1591515040287894475348287087152 y[1] (numeric) = 4.1591515040287894475348287087153 absolute error = 1e-31 relative error = 2.4043365552597529226447430121877e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.16 y[1] (analytic) = 4.160169410417401651840082905726 y[1] (numeric) = 4.1601694104174016518400829057261 absolute error = 1e-31 relative error = 2.4037482644238450625552180771673e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.161 y[1] (analytic) = 4.1611883166365201195306640199353 y[1] (numeric) = 4.1611883166365201195306640199353 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=412.0MB, alloc=4.5MB, time=19.80 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.162 y[1] (analytic) = 4.1622082226672386330636225681169 y[1] (numeric) = 4.1622082226672386330636225681169 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.163 y[1] (analytic) = 4.1632291284896511633792808552272 y[1] (numeric) = 4.1632291284896511633792808552272 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.164 y[1] (analytic) = 4.1642510340828518898072603752472 y[1] (numeric) = 4.1642510340828518898072603752471 absolute error = 1e-31 relative error = 2.4013922115054315712294156286419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.165 y[1] (analytic) = 4.1652739394249352209723007394088 y[1] (numeric) = 4.1652739394249352209723007394088 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.166 y[1] (analytic) = 4.1662978444929958166998492259902 y[1] (numeric) = 4.1662978444929958166998492259901 absolute error = 1e-31 relative error = 2.4002124603784580740220759791574e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.167 y[1] (analytic) = 4.1673227492631286109213990460894 y[1] (numeric) = 4.1673227492631286109213990460893 absolute error = 1e-31 relative error = 2.3996221559196999827518366532167e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.168 y[1] (analytic) = 4.1683486537104288355795534200429 y[1] (numeric) = 4.1683486537104288355795534200428 absolute error = 1e-31 relative error = 2.3990315663970584846770843389447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.169 y[1] (analytic) = 4.169375557808992045532791559425 y[1] (numeric) = 4.1693755578089920455327915594249 absolute error = 1e-31 relative error = 2.3984406924606721289216681172251e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (analytic) = 4.1704034615319141444599116498647 y[1] (numeric) = 4.1704034615319141444599116498646 absolute error = 1e-31 relative error = 2.3978495347610085623257641331443e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.171 y[1] (analytic) = 4.1714323648512914117641249302399 y[1] (numeric) = 4.1714323648512914117641249302397 absolute error = 2e-31 relative error = 4.7945161878977236476363964760916e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.172 y[1] (analytic) = 4.1724622677382205304767739641558 y[1] (numeric) = 4.1724622677382205304767739641556 absolute error = 2e-31 relative error = 4.7933327413506992802550843556491e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.173 y[1] (analytic) = 4.1734931701627986161606471999931 y[1] (numeric) = 4.1734931701627986161606471999929 absolute error = 2e-31 relative error = 4.7921487311838214456997116761626e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.174 y[1] (analytic) = 4.1745250720941232468128609162123 y[1] (numeric) = 4.1745250720941232468128609162121 absolute error = 2e-31 relative error = 4.7909641587006041337818206499888e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.175 y[1] (analytic) = 4.1755579735002924937672786490358 y[1] (numeric) = 4.1755579735002924937672786490356 absolute error = 2e-31 relative error = 4.7897790252051925006013775270100e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.176 y[1] (analytic) = 4.1765918743484049535964372000902 y[1] (numeric) = 4.17659187434840495359643720009 absolute error = 2e-31 relative error = 4.7885933320023574710358472650959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.177 y[1] (analytic) = 4.1776267746045597810129473220864 y[1] (numeric) = 4.1776267746045597810129473220862 absolute error = 2e-31 relative error = 4.7874070803974903440847824629539e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.178 y[1] (analytic) = 4.1786626742338567227703361811379 y[1] (numeric) = 4.1786626742338567227703361811378 absolute error = 1e-31 relative error = 2.3931101358482987005526454834196e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.179 y[1] (analytic) = 4.17969957320039615256329769488 y[1] (numeric) = 4.1796995732003961525632976948799 absolute error = 1e-31 relative error = 2.3925164536031472584868347309403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (analytic) = 4.1807374714672791069273158461397 y[1] (numeric) = 4.1807374714672791069273158461396 absolute error = 1e-31 relative error = 2.3919224941169008871042064679910e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.181 y[1] (analytic) = 4.1817763689966073221376250725388 y[1] (numeric) = 4.1817763689966073221376250725387 absolute error = 1e-31 relative error = 2.3913282580434690400448660805655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.182 y[1] (analytic) = 4.1828162657494832721074708330708 y[1] (numeric) = 4.1828162657494832721074708330706 absolute error = 2e-31 relative error = 4.7814674920741157868106332753108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.183 y[1] (analytic) = 4.1838571616860102072856324533946 y[1] (numeric) = 4.1838571616860102072856324533944 absolute error = 2e-31 relative error = 4.7802779175043353146945351698359e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.184 y[1] (analytic) = 4.1848990567652921945531693523267 y[1] (numeric) = 4.1848990567652921945531693523265 absolute error = 2e-31 relative error = 4.7790877936871797785143216936131e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.185 y[1] (analytic) = 4.1859419509454341581193507527873 y[1] (numeric) = 4.1859419509454341581193507527872 absolute error = 1e-31 relative error = 2.3889485609664048084738233396887e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.186 y[1] (analytic) = 4.1869858441835419214167279812749 y[1] (numeric) = 4.1869858441835419214167279812748 absolute error = 1e-31 relative error = 2.3883529517759786126016152395720e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.187 y[1] (analytic) = 4.1880307364357222499953074608001 y[1] (numeric) = 4.1880307364357222499953074608 absolute error = 1e-31 relative error = 2.3877570699279607954264035343879e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.188 y[1] (analytic) = 4.1890766276570828954157815031101 y[1] (numeric) = 4.18907662765708289541578150311 absolute error = 1e-31 relative error = 2.3871609160782814664516504232345e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.189 y[1] (analytic) = 4.1901235178017326401417730069758 y[1] (numeric) = 4.1901235178017326401417730069756 absolute error = 2e-31 relative error = 4.7731289817662973441437320089450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=415.8MB, alloc=4.5MB, time=19.99 TOP MAIN SOLVE Loop x[1] = 3.19 y[1] (analytic) = 4.1911714068227813434310491703005 y[1] (numeric) = 4.1911714068227813434310491703004 absolute error = 1e-31 relative error = 2.3859677949990457184006344219886e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.191 y[1] (analytic) = 4.1922202946723399882256583248418 y[1] (numeric) = 4.1922202946723399882256583248417 absolute error = 1e-31 relative error = 2.3853708290827284957703822152074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.192 y[1] (analytic) = 4.1932701813015207290409430034112 y[1] (numeric) = 4.1932701813015207290409430034111 absolute error = 1e-31 relative error = 2.3847735937912228049210170444472e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.193 y[1] (analytic) = 4.1943210666604369408533813505453 y[1] (numeric) = 4.1943210666604369408533813505451 absolute error = 2e-31 relative error = 4.7683521795636433697890484797555e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.194 y[1] (analytic) = 4.1953729506982032689872079888083 y[1] (numeric) = 4.1953729506982032689872079888082 absolute error = 1e-31 relative error = 2.3835783177120827426525677505734e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.195 y[1] (analytic) = 4.1964258333629356799997644541121 y[1] (numeric) = 4.196425833362935679999764454112 absolute error = 1e-31 relative error = 2.3829802782398254844341010508528e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.196 y[1] (analytic) = 4.1974797146017515135655283147048 y[1] (numeric) = 4.1974797146017515135655283147047 absolute error = 1e-31 relative error = 2.3823819720231286488699523951833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.197 y[1] (analytic) = 4.1985345943607695353587690898052 y[1] (numeric) = 4.1985345943607695353587690898051 absolute error = 1e-31 relative error = 2.3817833997203275418713075013050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.198 y[1] (analytic) = 4.1995904725851099909347780852306 y[1] (numeric) = 4.1995904725851099909347780852305 absolute error = 1e-31 relative error = 2.3811845619900113733089712848138e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.199 y[1] (analytic) = 4.2006473492188946606096182647927 y[1] (numeric) = 4.2006473492188946606096182647926 absolute error = 1e-31 relative error = 2.3805854594910205955002486681462e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (analytic) = 4.2017052242052469153383392777164 y[1] (numeric) = 4.2017052242052469153383392777163 absolute error = 1e-31 relative error = 2.3799860928824442435202427436440e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.201 y[1] (analytic) = 4.2027640974862917735916017638715 y[1] (numeric) = 4.2027640974862917735916017638714 absolute error = 1e-31 relative error = 2.3793864628236172773543266850610e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.202 y[1] (analytic) = 4.2038239690031559592306540601968 y[1] (numeric) = 4.2038239690031559592306540601967 absolute error = 1e-31 relative error = 2.3787865699741179259085037754250e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.203 y[1] (analytic) = 4.2048848386959679603806034333456 y[1] (numeric) = 4.2048848386959679603806034333455 absolute error = 1e-31 relative error = 2.3781864149937650328943277524916e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.204 y[1] (analytic) = 4.2059467065038580893019229652863 y[1] (numeric) = 4.2059467065038580893019229652862 absolute error = 1e-31 relative error = 2.3775859985426154046050133670597e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.205 y[1] (analytic) = 4.2070095723649585432601342203549 y[1] (numeric) = 4.2070095723649585432601342203549 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.206 y[1] (analytic) = 4.2080734362164034663936048240841 y[1] (numeric) = 4.2080734362164034663936048240841 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.207 y[1] (analytic) = 4.2091382979943290125793990860139 y[1] (numeric) = 4.2091382979943290125793990860139 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.208 y[1] (analytic) = 4.2102041576338734092971188006407 y[1] (numeric) = 4.2102041576338734092971188006406 absolute error = 1e-31 relative error = 2.3751817312393659912295483814590e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.209 y[1] (analytic) = 4.2112710150691770224906703626676 y[1] (numeric) = 4.2112710150691770224906703626675 absolute error = 1e-31 relative error = 2.3745800173432280574168535417396e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (analytic) = 4.2123388702333824224278933347958 y[1] (numeric) = 4.2123388702333824224278933347957 absolute error = 1e-31 relative error = 2.3739780459414831582264273072245e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.211 y[1] (analytic) = 4.2134077230586344505579846084323 y[1] (numeric) = 4.2134077230586344505579846084323 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.212 y[1] (analytic) = 4.2144775734760802873666512998972 y[1] (numeric) = 4.2144775734760802873666512998972 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.213 y[1] (analytic) = 4.2155484214158695212289245269811 y[1] (numeric) = 4.2155484214158695212289245269811 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.214 y[1] (analytic) = 4.2166202668071542182595652130472 y[1] (numeric) = 4.2166202668071542182595652130472 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.215 y[1] (analytic) = 4.2176931095780889931609920682757 y[1] (numeric) = 4.2176931095780889931609920682757 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.216 y[1] (analytic) = 4.2187669496558310810686609001299 y[1] (numeric) = 4.2187669496558310810686609001299 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.217 y[1] (analytic) = 4.2198417869665404103938234076703 y[1] (numeric) = 4.2198417869665404103938234076703 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.5MB, time=20.17 x[1] = 3.218 y[1] (analytic) = 4.2209176214353796766635926169639 y[1] (numeric) = 4.2209176214353796766635926169638 absolute error = 1e-31 relative error = 2.3691530839683542111790730573713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.219 y[1] (analytic) = 4.2219944529865144173582411175288 y[1] (numeric) = 4.2219944529865144173582411175288 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.22 y[1] (analytic) = 4.2230722815431130877456572625241 y[1] (numeric) = 4.2230722815431130877456572625241 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.221 y[1] (analytic) = 4.2241511070273471377128834982324 y[1] (numeric) = 4.2241511070273471377128834982324 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.222 y[1] (analytic) = 4.2252309293603910895946599913053 y[1] (numeric) = 4.2252309293603910895946599913053 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.223 y[1] (analytic) = 4.2263117484624226169988957252335 y[1] (numeric) = 4.2263117484624226169988957252335 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.224 y[1] (analytic) = 4.2273935642526226246289882405778 y[1] (numeric) = 4.2273935642526226246289882405778 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.225 y[1] (analytic) = 4.2284763766491753291029121966469 y[1] (numeric) = 4.2284763766491753291029121966469 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.226 y[1] (analytic) = 4.2295601855692683407689959355411 y[1] (numeric) = 4.2295601855692683407689959355411 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.227 y[1] (analytic) = 4.2306449909290927465183042327918 y[1] (numeric) = 4.2306449909290927465183042327918 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.228 y[1] (analytic) = 4.2317307926438431935935444222206 y[1] (numeric) = 4.2317307926438431935935444222206 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.229 y[1] (analytic) = 4.23281759062771797439441208612 y[1] (numeric) = 4.23281759062771797439441208612 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (analytic) = 4.233905384793919112279291505415 y[1] (numeric) = 4.2339053847939191122792915054151 absolute error = 1e-31 relative error = 2.3618855621845076902562167175992e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.231 y[1] (analytic) = 4.2349941750546524483632250681153 y[1] (numeric) = 4.2349941750546524483632250681153 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.232 y[1] (analytic) = 4.2360839613211277293120648380921 y[1] (numeric) = 4.2360839613211277293120648380921 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.233 y[1] (analytic) = 4.2371747435035586961327184900396 y[1] (numeric) = 4.2371747435035586961327184900396 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.234 y[1] (analytic) = 4.2382665215111631739594008203786 y[1] (numeric) = 4.2382665215111631739594008203786 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.235 y[1] (analytic) = 4.239359295252163162835801047861 y[1] (numeric) = 4.239359295252163162835801047861 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.236 y[1] (analytic) = 4.2404530646337849294930751217142 y[1] (numeric) = 4.2404530646337849294930751217142 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.237 y[1] (analytic) = 4.2415478295622591001235712593408 y[1] (numeric) = 4.2415478295622591001235712593408 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.238 y[1] (analytic) = 4.2426435899428207541501959398563 y[1] (numeric) = 4.2426435899428207541501959398563 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.239 y[1] (analytic) = 4.2437403456797095189913265841061 y[1] (numeric) = 4.2437403456797095189913265841062 absolute error = 1e-31 relative error = 2.3564118408376194941584710071213e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (analytic) = 4.2448380966761696658211761562575 y[1] (numeric) = 4.2448380966761696658211761562576 absolute error = 1e-31 relative error = 2.3558024528262426908665240110949e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.241 y[1] (analytic) = 4.2459368428344502063255139266092 y[1] (numeric) = 4.2459368428344502063255139266093 absolute error = 1e-31 relative error = 2.3551928279094050779605605631436e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.242 y[1] (analytic) = 4.247036584055804990452645639907 y[1] (numeric) = 4.247036584055804990452645639907 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.243 y[1] (analytic) = 4.2481373202404928051595553381921 y[1] (numeric) = 4.2481373202404928051595553381921 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.244 y[1] (analytic) = 4.2492390512877774741531100920501 y[1] (numeric) = 4.2492390512877774741531100920501 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.245 y[1] (analytic) = 4.2503417770959279586262278990623 y[1] (numeric) = 4.2503417770959279586262278990624 absolute error = 1e-31 relative error = 2.3527519725325621281493288961371e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.246 y[1] (analytic) = 4.251445497562218458988908013302 y[1] (numeric) = 4.251445497562218458988908013302 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.5MB, time=20.37 x[1] = 3.247 y[1] (analytic) = 4.2525502125829285175940219748515 y[1] (numeric) = 4.2525502125829285175940219748515 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.248 y[1] (analytic) = 4.2536559220533431224577626135602 y[1] (numeric) = 4.2536559220533431224577626135601 absolute error = 1e-31 relative error = 2.3509188761964453613130741020217e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.249 y[1] (analytic) = 4.2547626258677528119746473066002 y[1] (numeric) = 4.2547626258677528119746473066002 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.25 y[1] (analytic) = 4.2558703239194537806269707748284 y[1] (numeric) = 4.2558703239194537806269707748284 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.251 y[1] (analytic) = 4.2569790161007479856886017085073 y[1] (numeric) = 4.2569790161007479856886017085073 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.252 y[1] (analytic) = 4.2580887023029432549230165186004 y[1] (numeric) = 4.2580887023029432549230165186004 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.253 y[1] (analytic) = 4.2591993824163533952754625156147 y[1] (numeric) = 4.2591993824163533952754625156147 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.254 y[1] (analytic) = 4.2603110563302983025591418238379 y[1] (numeric) = 4.2603110563302983025591418238379 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.255 y[1] (analytic) = 4.2614237239331040721353063447943 y[1] (numeric) = 4.2614237239331040721353063447943 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.256 y[1] (analytic) = 4.2625373851121031105871530898346 y[1] (numeric) = 4.2625373851121031105871530898346 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.257 y[1] (analytic) = 4.2636520397536342483874082079731 y[1] (numeric) = 4.2636520397536342483874082079731 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.258 y[1] (analytic) = 4.2647676877430428535594870413977 y[1] (numeric) = 4.2647676877430428535594870413977 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.259 y[1] (analytic) = 4.2658843289646809463321165475023 y[1] (numeric) = 4.2658843289646809463321165475023 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (analytic) = 4.2670019633019073147873054328283 y[1] (numeric) = 4.2670019633019073147873054328284 absolute error = 1e-31 relative error = 2.3435658305302870874440513397096e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.261 y[1] (analytic) = 4.2681205906370876315015463509557 y[1] (numeric) = 4.2681205906370876315015463509557 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.262 y[1] (analytic) = 4.2692402108515945711801335231494 y[1] (numeric) = 4.2692402108515945711801335231494 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.263 y[1] (analytic) = 4.2703608238258079292844781474555 y[1] (numeric) = 4.2703608238258079292844781474556 absolute error = 1e-31 relative error = 2.3417224943163045208579952860014e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.264 y[1] (analytic) = 4.27148242943911474165230296894 y[1] (numeric) = 4.2714824294391147416523029689401 absolute error = 1e-31 relative error = 2.3411076049569733905767347994706e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.265 y[1] (analytic) = 4.2726050275699094051105963908856 y[1] (numeric) = 4.2726050275699094051105963908857 absolute error = 1e-31 relative error = 2.3404924947363105077063360445850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.266 y[1] (analytic) = 4.273728618095593799081205514004 y[1] (numeric) = 4.273728618095593799081205514004 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.267 y[1] (analytic) = 4.2748532008925774081789464980783 y[1] (numeric) = 4.2748532008925774081789464980783 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.268 y[1] (analytic) = 4.2759787758362774458021096479385 y[1] (numeric) = 4.2759787758362774458021096479385 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.269 y[1] (analytic) = 4.2771053428011189787152356332718 y[1] (numeric) = 4.2771053428011189787152356332719 absolute error = 1e-31 relative error = 2.3380298586358642712718834116343e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.27 y[1] (analytic) = 4.2782329016605350526240382595053 y[1] (numeric) = 4.2782329016605350526240382595053 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.271 y[1] (analytic) = 4.2793614522869668187423482148454 y[1] (numeric) = 4.2793614522869668187423482148455 absolute error = 1e-31 relative error = 2.3367972328338430646890235339637e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.272 y[1] (analytic) = 4.2804909945518636613509512265445 y[1] (numeric) = 4.2804909945518636613509512265446 absolute error = 1e-31 relative error = 2.3361805953400743968668612874481e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.273 y[1] (analytic) = 4.2816215283256833263481930675635 y[1] (numeric) = 4.2816215283256833263481930675635 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.274 y[1] (analytic) = 4.2827530534778920507922228630387 y[1] (numeric) = 4.2827530534778920507922228630387 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.275 y[1] (analytic) = 4.2838855698769646934347451543198 y[1] (numeric) = 4.2838855698769646934347451543198 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.5MB, time=20.55 x[1] = 3.276 y[1] (analytic) = 4.2850190773903848662461501868369 y[1] (numeric) = 4.2850190773903848662461501868369 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.277 y[1] (analytic) = 4.2861535758846450669318908966785 y[1] (numeric) = 4.2861535758846450669318908966786 absolute error = 1e-31 relative error = 2.3330941887531502496925961650966e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.278 y[1] (analytic) = 4.2872890652252468124399740795138 y[1] (numeric) = 4.2872890652252468124399740795139 absolute error = 1e-31 relative error = 2.3324762683046698544625628996245e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.279 y[1] (analytic) = 4.2884255452767007734594322343791 y[1] (numeric) = 4.2884255452767007734594322343791 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (analytic) = 4.2895630159025269099096415838683 y[1] (numeric) = 4.2895630159025269099096415838683 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.281 y[1] (analytic) = 4.2907014769652546074203507814207 y[1] (numeric) = 4.2907014769652546074203507814207 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.282 y[1] (analytic) = 4.2918409283264228148022838256878 y[1] (numeric) = 4.2918409283264228148022838256878 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.283 y[1] (analytic) = 4.2929813698465801825081797113889 y[1] (numeric) = 4.2929813698465801825081797113889 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.284 y[1] (analytic) = 4.2941228013852852020841303556269 y[1] (numeric) = 4.2941228013852852020841303556269 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.285 y[1] (analytic) = 4.2952652228011063466110773483373 y[1] (numeric) = 4.2952652228011063466110773483373 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.286 y[1] (analytic) = 4.2964086339516222121363270853868 y[1] (numeric) = 4.2964086339516222121363270853868 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.287 y[1] (analytic) = 4.2975530346934216600949428528168 y[1] (numeric) = 4.2975530346934216600949428528168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.288 y[1] (analytic) = 4.2986984248821039607208714408524 y[1] (numeric) = 4.2986984248821039607208714408524 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.289 y[1] (analytic) = 4.2998448043722789374476608765618 y[1] (numeric) = 4.2998448043722789374476608765618 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.29 y[1] (analytic) = 4.3009921730175671122986248744605 y[1] (numeric) = 4.3009921730175671122986248744605 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.291 y[1] (analytic) = 4.3021405306705998522663086149085 y[1] (numeric) = 4.3021405306705998522663086149085 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.292 y[1] (analytic) = 4.3032898771830195166811094708458 y[1] (numeric) = 4.3032898771830195166811094708458 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.293 y[1] (analytic) = 4.3044402124054796055689053142588 y[1] (numeric) = 4.3044402124054796055689053142588 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.294 y[1] (analytic) = 4.3055915361876449089975420447612 y[1] (numeric) = 4.3055915361876449089975420447612 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.295 y[1] (analytic) = 4.3067438483781916574120309938144 y[1] (numeric) = 4.3067438483781916574120309938144 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.296 y[1] (analytic) = 4.3078971488248076729583058694025 y[1] (numeric) = 4.3078971488248076729583058694025 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.297 y[1] (analytic) = 4.3090514373741925217953879174173 y[1] (numeric) = 4.3090514373741925217953879174173 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.298 y[1] (analytic) = 4.3102067138720576673958069876014 y[1] (numeric) = 4.3102067138720576673958069876015 absolute error = 1e-31 relative error = 2.3200743407075570071986250630727e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.299 y[1] (analytic) = 4.3113629781631266248341252036411 y[1] (numeric) = 4.3113629781631266248341252036412 absolute error = 1e-31 relative error = 2.3194521200487136539567179894534e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (analytic) = 4.3125202300911351160634089488972 y[1] (numeric) = 4.3125202300911351160634089488972 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.301 y[1] (analytic) = 4.3136784694988312261794938913158 y[1] (numeric) = 4.3136784694988312261794938913158 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.302 y[1] (analytic) = 4.3148376962279755606728867832673 y[1] (numeric) = 4.3148376962279755606728867832673 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.303 y[1] (analytic) = 4.3159979101193414036681467844236 y[1] (numeric) = 4.3159979101193414036681467844236 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.304 y[1] (analytic) = 4.3171591110127148771505880683064 y[1] (numeric) = 4.3171591110127148771505880683064 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.5MB, time=20.73 x[1] = 3.305 y[1] (analytic) = 4.3183212987468951011801444858169 y[1] (numeric) = 4.3183212987468951011801444858169 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.306 y[1] (analytic) = 4.3194844731596943550922360718959 y[1] (numeric) = 4.3194844731596943550922360718959 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.307 y[1] (analytic) = 4.3206486340879382396854761944607 y[1] (numeric) = 4.3206486340879382396854761944607 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.308 y[1] (analytic) = 4.3218137813674658403960571579256 y[1] (numeric) = 4.3218137813674658403960571579256 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.309 y[1] (analytic) = 4.322979914833129891458651086934 y[1] (numeric) = 4.322979914833129891458651086934 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (analytic) = 4.3241470343187969410536619294145 y[1] (numeric) = 4.3241470343187969410536619294144 absolute error = 1e-31 relative error = 2.3125948124877642280196186928703e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.311 y[1] (analytic) = 4.3253151396573475174406634317227 y[1] (numeric) = 4.3253151396573475174406634317226 absolute error = 1e-31 relative error = 2.3119702673947134293031355272655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.312 y[1] (analytic) = 4.326484230680676296077856952446 y[1] (numeric) = 4.3264842306806762960778569524459 absolute error = 1e-31 relative error = 2.3113455329586910071019900527943e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.313 y[1] (analytic) = 4.3276543072196922677273819954252 y[1] (numeric) = 4.327654307219692267727381995425 absolute error = 2e-31 relative error = 4.6214412197006162346125613082604e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.314 y[1] (analytic) = 4.3288253691043189075463113566979 y[1] (numeric) = 4.3288253691043189075463113566978 absolute error = 1e-31 relative error = 2.3100954987401371795194211740409e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.315 y[1] (analytic) = 4.329997416163494345163161794383 y[1] (numeric) = 4.3299974161634943451631617943829 absolute error = 1e-31 relative error = 2.3094702002987095274350450973830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.316 y[1] (analytic) = 4.331170448225171535739750145008 y[1] (numeric) = 4.3311704482251715357397501450079 absolute error = 1e-31 relative error = 2.3088447151965130626728442976675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.317 y[1] (analytic) = 4.3323444651163184320182238244391 y[1] (numeric) = 4.332344465116318432018223824439 absolute error = 1e-31 relative error = 2.3082190441039899120845231474122e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.318 y[1] (analytic) = 4.3335194666629181573530936663971 y[1] (numeric) = 4.333519466662918157353093666397 absolute error = 1e-31 relative error = 2.3075931876915340885409966676556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.319 y[1] (analytic) = 4.3346954526899691797280960665405 y[1] (numeric) = 4.3346954526899691797280960665404 absolute error = 1e-31 relative error = 2.3069671466294891552119092322544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (analytic) = 4.3358724230214854867577104152688 y[1] (numeric) = 4.3358724230214854867577104152687 absolute error = 1e-31 relative error = 2.3063409215881458933484981498023e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.321 y[1] (analytic) = 4.3370503774804967616731568177422 y[1] (numeric) = 4.3370503774804967616731568177421 absolute error = 1e-31 relative error = 2.3057145132377399735807742210556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.322 y[1] (analytic) = 4.3382293158890485602926981151361 y[1] (numeric) = 4.3382293158890485602926981151359 absolute error = 2e-31 relative error = 4.6101758444968992614798782269964e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.323 y[1] (analytic) = 4.3394092380682024889760692368411 y[1] (numeric) = 4.3394092380682024889760692368409 absolute error = 2e-31 relative error = 4.6089222985807866844338142160006e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.324 y[1] (analytic) = 4.3405901438380363835628559291965 y[1] (numeric) = 4.3405901438380363835628559291962 absolute error = 3e-31 relative error = 6.9115025851008825296032393688045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.325 y[1] (analytic) = 4.3417720330176444892946439223906 y[1] (numeric) = 4.3417720330176444892946439223904 absolute error = 2e-31 relative error = 4.6064141202962882909536064856655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.326 y[1] (analytic) = 4.3429549054251376417207586133967 y[1] (numeric) = 4.3429549054251376417207586133965 absolute error = 2e-31 relative error = 4.6051594906077371195764365450426e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.327 y[1] (analytic) = 4.3441387608776434485874143592172 y[1] (numeric) = 4.344138760877643448587414359217 absolute error = 2e-31 relative error = 4.6039045023413141102329902091581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.328 y[1] (analytic) = 4.3453235991913064727100914913039 y[1] (numeric) = 4.3453235991913064727100914913037 absolute error = 2e-31 relative error = 4.6026491568365892430934498573955e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.329 y[1] (analytic) = 4.346509420181288415828958178792 y[1] (numeric) = 4.3465094201812884158289581787918 absolute error = 2e-31 relative error = 4.6013934554329852734700430540728e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (analytic) = 4.3476962236617683034471532851407 y[1] (numeric) = 4.3476962236617683034471532851405 absolute error = 2e-31 relative error = 4.6001373994697731386393341814618e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.331 y[1] (analytic) = 4.3488840094459426706517453799136 y[1] (numeric) = 4.3488840094459426706517453799134 absolute error = 2e-31 relative error = 4.5988809902860673719068343204875e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.332 y[1] (analytic) = 4.3500727773460257489171820847554 y[1] (numeric) = 4.3500727773460257489171820847552 absolute error = 2e-31 relative error = 4.5976242292208215239347208741026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.333 y[1] (analytic) = 4.3512625271732496538910429501307 y[1] (numeric) = 4.3512625271732496538910429501304 absolute error = 3e-31 relative error = 6.8945506764192353870300300113631e-30 % Correct digits = 31 h = 0.001 memory used=434.8MB, alloc=4.5MB, time=20.92 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.334 y[1] (analytic) = 4.3524532587378645741619080770877 y[1] (numeric) = 4.3524532587378645741619080770874 absolute error = 3e-31 relative error = 6.8926644852010371790157497757413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.335 y[1] (analytic) = 4.3536449718491389610091537161949 y[1] (numeric) = 4.3536449718491389610091537161946 absolute error = 3e-31 relative error = 6.8907777721843024673181258532859e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.336 y[1] (analytic) = 4.3548376663153597191344850938691 y[1] (numeric) = 4.3548376663153597191344850938688 absolute error = 3e-31 relative error = 6.8888905393764272209622333108413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.337 y[1] (analytic) = 4.3560313419438323983750157345797 y[1] (numeric) = 4.3560313419438323983750157345794 absolute error = 3e-31 relative error = 6.8870027887845317594665289333755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.338 y[1] (analytic) = 4.3572259985408813863977015658648 y[1] (numeric) = 4.3572259985408813863977015658645 absolute error = 3e-31 relative error = 6.8851145224154539508485188223470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.339 y[1] (analytic) = 4.3584216359118501023749371117415 y[1] (numeric) = 4.3584216359118501023749371117412 absolute error = 3e-31 relative error = 6.8832257422757424207389842819211e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (analytic) = 4.3596182538611011916411200989301 y[1] (numeric) = 4.3596182538611011916411200989298 absolute error = 3e-31 relative error = 6.8813364503716497726346905636547e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.341 y[1] (analytic) = 4.3608158521920167213299898193441 y[1] (numeric) = 4.3608158521920167213299898193438 absolute error = 3e-31 relative error = 6.8794466487091258193193449757720e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.342 y[1] (analytic) = 4.3620144307069983769925436115237 y[1] (numeric) = 4.3620144307069983769925436115234 absolute error = 3e-31 relative error = 6.8775563392938108254824127558130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.343 y[1] (analytic) = 4.3632139892074676601953348431127 y[1] (numeric) = 4.3632139892074676601953348431124 absolute error = 3e-31 relative error = 6.8756655241310287615652409577462e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.344 y[1] (analytic) = 4.3644145274938660870989547960978 y[1] (numeric) = 4.3644145274938660870989547960974 absolute error = 4e-31 relative error = 9.1650322736343740918183765587838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.345 y[1] (analytic) = 4.3656160453656553880164998763437 y[1] (numeric) = 4.3656160453656553880164998763433 absolute error = 4e-31 relative error = 9.1625098461103165812227382035452e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.346 y[1] (analytic) = 4.3668185426213177079518245889752 y[1] (numeric) = 4.3668185426213177079518245889748 absolute error = 4e-31 relative error = 9.1599867522749787816137363384017e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.347 y[1] (analytic) = 4.3680220190583558081173797413686 y[1] (numeric) = 4.3680220190583558081173797413682 absolute error = 4e-31 relative error = 9.1574629948003494362956015062250e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.348 y[1] (analytic) = 4.3692264744732932684314343559314 y[1] (numeric) = 4.369226474473293268431434355931 absolute error = 4e-31 relative error = 9.1549385763579508144549713934011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.349 y[1] (analytic) = 4.3704319086616746909944787954657 y[1] (numeric) = 4.3704319086616746909944787954653 absolute error = 4e-31 relative error = 9.1524134996188298069203128554127e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.35 y[1] (analytic) = 4.3716383214180659045446056247285 y[1] (numeric) = 4.371638321418065904544605624728 absolute error = 5e-31 relative error = 1.1437359709066936296450061210613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.351 y[1] (analytic) = 4.3728457125360541698916637528252 y[1] (numeric) = 4.3728457125360541698916637528247 absolute error = 5e-31 relative error = 1.1434201727415222484446212075804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.352 y[1] (analytic) = 4.3740540818082483863299804223 y[1] (numeric) = 4.3740540818082483863299804222996 absolute error = 4e-31 relative error = 9.1448343463242841409962932762766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.353 y[1] (analytic) = 4.3752634290262792990294446322175 y[1] (numeric) = 4.3752634290262792990294446322171 absolute error = 4e-31 relative error = 9.1423066630989241378045352086364e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.354 y[1] (analytic) = 4.3764737539807997074047446041696 y[1] (numeric) = 4.3764737539807997074047446041691 absolute error = 5e-31 relative error = 1.1424722918655793685095160620822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.355 y[1] (analytic) = 4.3776850564614846744625509219875 y[1] (numeric) = 4.377685056461484674462550921987 absolute error = 5e-31 relative error = 1.1421561705586781324280662538461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.356 y[1] (analytic) = 4.3788973362570317371264359979943 y[1] (numeric) = 4.3788973362570317371264359979938 absolute error = 5e-31 relative error = 1.1418399693000957100242918436209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.357 y[1] (analytic) = 4.380110593155161117539319540894 y[1] (numeric) = 4.3801105931551611175393195408935 absolute error = 5e-31 relative error = 1.1415236884231977447713386166662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.358 y[1] (analytic) = 4.3813248269426159353432287228712 y[1] (numeric) = 4.3813248269426159353432287228707 absolute error = 5e-31 relative error = 1.1412073282612805268527803051490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.359 y[1] (analytic) = 4.3825400374051624209361607661577 y[1] (numeric) = 4.3825400374051624209361607661572 absolute error = 5e-31 relative error = 1.1408908891475698993891385534780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (analytic) = 4.3837562243275901297058346922217 y[1] (numeric) = 4.3837562243275901297058346922212 absolute error = 5e-31 relative error = 1.1405743714152201666150259802064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.361 y[1] (analytic) = 4.3849733874937121572401179998458 y[1] (numeric) = 4.3849733874937121572401179998453 absolute error = 5e-31 relative error = 1.1402577753973130040113455877739e-29 % Correct digits = 30 h = 0.001 memory used=438.7MB, alloc=4.5MB, time=21.11 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.362 y[1] (analytic) = 4.3861915266863653555139130616846 y[1] (numeric) = 4.3861915266863653555139130616842 absolute error = 4e-31 relative error = 9.1195288114148509631756269080423e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.363 y[1] (analytic) = 4.3874106416874105500522870524342 y[1] (numeric) = 4.3874106416874105500522870524338 absolute error = 4e-31 relative error = 9.1169947986942673758733160706263e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.364 y[1] (analytic) = 4.3886307322777327580696282455006 y[1] (numeric) = 4.3886307322777327580696282455002 absolute error = 4e-31 relative error = 9.1144601676796114272196586321926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.365 y[1] (analytic) = 4.3898517982372414075846105390305 y[1] (numeric) = 4.3898517982372414075846105390301 absolute error = 4e-31 relative error = 9.1119249210331255255576193069055e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.366 y[1] (analytic) = 4.3910738393448705575107470963571 y[1] (numeric) = 4.3910738393448705575107470963567 absolute error = 4e-31 relative error = 9.1093890614164276903217466848849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.367 y[1] (analytic) = 4.3922968553785791187223130103254 y[1] (numeric) = 4.392296855378579118722313010325 absolute error = 4e-31 relative error = 9.1068525914905029276714296639489e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.368 y[1] (analytic) = 4.3935208461153510760954159255939 y[1] (numeric) = 4.3935208461153510760954159255935 absolute error = 4e-31 relative error = 9.1043155139156946220069522256695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.369 y[1] (analytic) = 4.3947458113311957115239925778597 y[1] (numeric) = 4.3947458113311957115239925778593 absolute error = 4e-31 relative error = 9.1017778313516959434021229543218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (analytic) = 4.3959717508011478279105082340292 y[1] (numeric) = 4.3959717508011478279105082340287 absolute error = 5e-31 relative error = 1.1374049433071926588733805765623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.371 y[1] (analytic) = 4.3971986642992679741311350426532 y[1] (numeric) = 4.3971986642992679741311350426528 absolute error = 4e-31 relative error = 9.0967006618915976323143780386752e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.372 y[1] (analytic) = 4.3984265515986426709751843294688 y[1] (numeric) = 4.3984265515986426709751843294683 absolute error = 5e-31 relative error = 1.1367701475389445198427804528710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.373 y[1] (analytic) = 4.3996554124713846380585668986309 y[1] (numeric) = 4.3996554124713846380585668986305 absolute error = 4e-31 relative error = 9.0916211043744235568666926507874e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.374 y[1] (analytic) = 4.4008852466886330217110544261964 y[1] (numeric) = 4.400885246688633021711054426196 absolute error = 4e-31 relative error = 9.0890804367365135960364698831680e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.375 y[1] (analytic) = 4.4021160540205536238371140586147 y[1] (numeric) = 4.4021160540205536238371140586143 absolute error = 4e-31 relative error = 9.0865391800534386119825778702970e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.376 y[1] (analytic) = 4.4033478342363391317500873554115 y[1] (numeric) = 4.4033478342363391317500873554111 absolute error = 4e-31 relative error = 9.0839973369801010265949426742520e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.377 y[1] (analytic) = 4.4045805871042093489794837419052 y[1] (numeric) = 4.4045805871042093489794837419048 absolute error = 4e-31 relative error = 9.0814549101706848838782699112369e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.378 y[1] (analytic) = 4.4058143123914114270511576646818 y[1] (numeric) = 4.4058143123914114270511576646814 absolute error = 4e-31 relative error = 9.0789119022786474021189693157305e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.379 y[1] (analytic) = 4.4070490098642200982401376696704 y[1] (numeric) = 4.40704900986422009824013766967 absolute error = 4e-31 relative error = 9.0763683159567105422948153819626e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.38 y[1] (analytic) = 4.4082846792879379092958746500094 y[1] (numeric) = 4.408284679287937909295874650009 absolute error = 4e-31 relative error = 9.0738241538568525927588010550420e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.381 y[1] (analytic) = 4.4095213204268954561396755384756 y[1] (numeric) = 4.4095213204268954561396755384752 absolute error = 4e-31 relative error = 9.0712794186302997702284309278976e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.382 y[1] (analytic) = 4.4107589330444516195340877470604 y[1] (numeric) = 4.41075893304445161953408774706 absolute error = 4e-31 relative error = 9.0687341129275178371114899539729e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.383 y[1] (analytic) = 4.4119975169029938017239986843303 y[1] (numeric) = 4.4119975169029938017239986843298 absolute error = 5e-31 relative error = 1.1332735299247754668998891640402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.384 y[1] (analytic) = 4.4132370717639381640492137094898 y[1] (numeric) = 4.4132370717639381640492137094893 absolute error = 5e-31 relative error = 1.1329552250864096544695965955508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.385 y[1] (analytic) = 4.4144775973877298655282749105906 y[1] (numeric) = 4.4144775973877298655282749105902 absolute error = 4e-31 relative error = 9.0610947994548726060435846234586e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.386 y[1] (analytic) = 4.4157190935338433024132821230868 y[1] (numeric) = 4.4157190935338433024132821230863 absolute error = 5e-31 relative error = 1.1323184047920412865362667900878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.387 y[1] (analytic) = 4.4169615599607823487154766339346 y[1] (numeric) = 4.4169615599607823487154766339342 absolute error = 4e-31 relative error = 9.0559991199821886191648025010626e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.388 y[1] (analytic) = 4.4182049964260805977013470456758 y[1] (numeric) = 4.4182049964260805977013470456754 absolute error = 4e-31 relative error = 9.0534504470381755057583676170632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.389 y[1] (analytic) = 4.419449402686301604359015804415 y[1] (numeric) = 4.4194494026863016043590158044145 absolute error = 5e-31 relative error = 1.1313626527686500247645562645635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=442.5MB, alloc=4.5MB, time=21.30 TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (analytic) = 4.4206947784970391288346639253275 y[1] (numeric) = 4.4206947784970391288346639253271 absolute error = 4e-31 relative error = 9.0483514479593450183491535400755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.391 y[1] (analytic) = 4.421941123612917380838750479293 y[1] (numeric) = 4.4219411236129173808387504792926 absolute error = 4e-31 relative error = 9.0458011271118571303470481621289e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.392 y[1] (analytic) = 4.4231884377875912650217824344538 y[1] (numeric) = 4.4231884377875912650217824344534 absolute error = 4e-31 relative error = 9.0432502622491403221324332247621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.393 y[1] (analytic) = 4.4244367207737466273193894769513 y[1] (numeric) = 4.4244367207737466273193894769509 absolute error = 4e-31 relative error = 9.0406988560127468048746043342275e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.394 y[1] (analytic) = 4.4256859723231005022664574657836 y[1] (numeric) = 4.4256859723231005022664574657832 absolute error = 4e-31 relative error = 9.0381469110433690285976432133971e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.395 y[1] (analytic) = 4.4269361921864013612800732076736 y[1] (numeric) = 4.4269361921864013612800732076732 absolute error = 4e-31 relative error = 9.0355944299808315146090377366168e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.396 y[1] (analytic) = 4.428187380113429361911032269022 y[1] (numeric) = 4.4281873801134293619110322690216 absolute error = 4e-31 relative error = 9.0330414154640827046772310171430e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.397 y[1] (analytic) = 4.4294395358529965980636605734588 y[1] (numeric) = 4.4294395358529965980636605734584 absolute error = 4e-31 relative error = 9.0304878701311868269859892751540e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.398 y[1] (analytic) = 4.4306926591529473511836995651928 y[1] (numeric) = 4.4306926591529473511836995651924 absolute error = 4e-31 relative error = 9.0279337966193157788932692889718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.399 y[1] (analytic) = 4.4319467497601583424140037502943 y[1] (numeric) = 4.4319467497601583424140037502938 absolute error = 5e-31 relative error = 1.1281723996955926283152571783078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (analytic) = 4.4332018074205389857177984602343 y[1] (numeric) = 4.4332018074205389857177984602338 absolute error = 5e-31 relative error = 1.1278530094503531901513054463050e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.401 y[1] (analytic) = 4.434457831879031641969244714445 y[1] (numeric) = 4.4344578318790316419692447144445 absolute error = 5e-31 relative error = 1.1275335541710019541059980867655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.402 y[1] (analytic) = 4.4357148228796118740110570913558 y[1] (numeric) = 4.4357148228796118740110570913553 absolute error = 5e-31 relative error = 1.1272140341867291375156505516364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.403 y[1] (analytic) = 4.4369727801652887026789195503097 y[1] (numeric) = 4.4369727801652887026789195503092 absolute error = 5e-31 relative error = 1.1268944498266083747153583176947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.404 y[1] (analytic) = 4.4382317034781048637924431799654 y[1] (numeric) = 4.4382317034781048637924431799649 absolute error = 5e-31 relative error = 1.1265748014195957150584315645025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.405 y[1] (analytic) = 4.4394915925591370661124088822478 y[1] (numeric) = 4.4394915925591370661124088822474 absolute error = 4e-31 relative error = 9.0100407143562289844790645210183e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.406 y[1] (analytic) = 4.4407524471484962502640370346275 y[1] (numeric) = 4.440752447148496250264037034627 absolute error = 5e-31 relative error = 1.1259353137801249806672210328699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.407 y[1] (analytic) = 4.4420142669853278486260252074787 y[1] (numeric) = 4.4420142669853278486260252074783 absolute error = 4e-31 relative error = 9.0049238016398567332941815911546e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.408 y[1] (analytic) = 4.4432770518078120461850940475027 y[1] (numeric) = 4.4432770518078120461850940475023 absolute error = 4e-31 relative error = 9.0023645911806055055499075634314e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.409 y[1] (analytic) = 4.4445408013531640423557804726891 y[1] (numeric) = 4.4445408013531640423557804726887 absolute error = 4e-31 relative error = 8.9998048814900715156332030994497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (analytic) = 4.445805515357634313765216359047 y[1] (numeric) = 4.4458055153576343137652163590466 absolute error = 4e-31 relative error = 8.9972446751940916998950670610795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.411 y[1] (analytic) = 4.4470711935565088780026299343465 y[1] (numeric) = 4.447071193556508878002629934346 absolute error = 5e-31 relative error = 1.1243354968646883351438405560622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.412 y[1] (analytic) = 4.4483378356841095583333061293925 y[1] (numeric) = 4.4483378356841095583333061293921 absolute error = 4e-31 relative error = 8.9921227832841528894912764058189e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.413 y[1] (analytic) = 4.4496054414737942493767411728932 y[1] (numeric) = 4.4496054414737942493767411728928 absolute error = 4e-31 relative error = 8.9895611029168547002900788937897e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.414 y[1] (analytic) = 4.4508740106579571837487257517882 y[1] (numeric) = 4.4508740106579571837487257517879 absolute error = 3e-31 relative error = 6.7402492023280624420711546590181e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.415 y[1] (analytic) = 4.4521435429680291996670900949788 y[1] (numeric) = 4.4521435429680291996670900949785 absolute error = 3e-31 relative error = 6.7383272148499614793223617816225e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.416 y[1] (analytic) = 4.4534140381344780095208433747344 y[1] (numeric) = 4.4534140381344780095208433747341 absolute error = 3e-31 relative error = 6.7364048667181440456485177541463e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.417 y[1] (analytic) = 4.4546854958868084694024388566603 y[1] (numeric) = 4.4546854958868084694024388566601 absolute error = 2e-31 relative error = 4.4896547732644223680208481101524e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=446.3MB, alloc=4.5MB, time=21.49 TOP MAIN SOLVE Loop x[1] = 3.418 y[1] (analytic) = 4.4559579159535628496028952659836 y[1] (numeric) = 4.4559579159535628496028952659833 absolute error = 3e-31 relative error = 6.7325590963486650800125147550486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.419 y[1] (analytic) = 4.457231298062321106069503875057 y[1] (numeric) = 4.4572312980623211060695038750567 absolute error = 3e-31 relative error = 6.7306356780366795629536317950913e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.42 y[1] (analytic) = 4.4585056419397011528258498543986 y[1] (numeric) = 4.4585056419397011528258498543983 absolute error = 3e-31 relative error = 6.7287119069223179803154308201010e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.421 y[1] (analytic) = 4.4597809473113591353538754672667 y[1] (numeric) = 4.4597809473113591353538754672664 absolute error = 3e-31 relative error = 6.7267877849664155649759193598864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.422 y[1] (analytic) = 4.4610572139019897049377117257303 y[1] (numeric) = 4.4610572139019897049377117257301 absolute error = 2e-31 relative error = 4.4832422094193306824019795678959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.423 y[1] (analytic) = 4.462334441435326293969004164427 y[1] (numeric) = 4.4623344414353262939690041644267 absolute error = 3e-31 relative error = 6.7229384963692657700987450870903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.424 y[1] (analytic) = 4.4636126296341413922134574267034 y[1] (numeric) = 4.4636126296341413922134574267031 absolute error = 3e-31 relative error = 6.7210133336456081721326188558909e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.425 y[1] (analytic) = 4.4648917782202468240383223966196 y[1] (numeric) = 4.4648917782202468240383223966193 absolute error = 3e-31 relative error = 6.7190878279155778107791449135517e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.426 y[1] (analytic) = 4.4661718869144940266005486493505 y[1] (numeric) = 4.4661718869144940266005486493502 absolute error = 3e-31 relative error = 6.7171619811358947532775089880908e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.427 y[1] (analytic) = 4.467452955436774328995324031857 y[1] (numeric) = 4.4674529554367743289953240318567 absolute error = 3e-31 relative error = 6.7152357952624388389287172976788e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.428 y[1] (analytic) = 4.4687349835060192323647222253098 y[1] (numeric) = 4.4687349835060192323647222253095 absolute error = 3e-31 relative error = 6.7133092722502439781466359410192e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.429 y[1] (analytic) = 4.4700179708402006909661781806412 y[1] (numeric) = 4.470017970840200690966178180641 absolute error = 2e-31 relative error = 4.4742549427023283097858923795884e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.43 y[1] (analytic) = 4.4713019171563313942005103587744 y[1] (numeric) = 4.4713019171563313942005103587742 absolute error = 2e-31 relative error = 4.4729701484170062006753782978989e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.431 y[1] (analytic) = 4.4725868221704650495992077475294 y[1] (numeric) = 4.4725868221704650495992077475291 absolute error = 3e-31 relative error = 6.7075276999187565369849603573206e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.432 y[1] (analytic) = 4.4738726855976966667706986679438 y[1] (numeric) = 4.4738726855976966667706986679435 absolute error = 3e-31 relative error = 6.7055998478848276216025433249571e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.433 y[1] (analytic) = 4.4751595071521628423053174237631 y[1] (numeric) = 4.4751595071521628423053174237628 absolute error = 3e-31 relative error = 6.7036716684744417681028367806577e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.434 y[1] (analytic) = 4.4764472865470420456386838891567 y[1] (numeric) = 4.4764472865470420456386838891564 absolute error = 3e-31 relative error = 6.7017431636374383322557706330779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.435 y[1] (analytic) = 4.4777360234945549058732101713046 y[1] (numeric) = 4.4777360234945549058732101713042 absolute error = 4e-31 relative error = 8.9330857804303616052406022534742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.436 y[1] (analytic) = 4.4790257177059644995574475263716 y[1] (numeric) = 4.4790257177059644995574475263713 absolute error = 3e-31 relative error = 6.6978851854785032119386750277388e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.437 y[1] (analytic) = 4.4803163688915766394229857495473 y[1] (numeric) = 4.4803163688915766394229857495469 absolute error = 4e-31 relative error = 8.9279409547357340562272256262012e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.438 y[1] (analytic) = 4.4816079767607401640786163022738 y[1] (numeric) = 4.4816079767607401640786163022735 absolute error = 3e-31 relative error = 6.6940259289889271690359138242888e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.439 y[1] (analytic) = 4.482900541021847228661469482526 y[1] (numeric) = 4.4829005410218472286614694825257 absolute error = 3e-31 relative error = 6.6920958262352393002287161789118e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (analytic) = 4.4841940613823335964448349870275 y[1] (numeric) = 4.4841940613823335964448349870272 absolute error = 3e-31 relative error = 6.6901654097351798348240833734055e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.441 y[1] (analytic) = 4.4854885375486789314023742576091 y[1] (numeric) = 4.4854885375486789314023742576088 absolute error = 3e-31 relative error = 6.6882346814322728347267742727675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.442 y[1] (analytic) = 4.4867839692264070917284320475202 y[1] (numeric) = 4.4867839692264070917284320475199 absolute error = 3e-31 relative error = 6.6863036432691180094822656276922e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.443 y[1] (analytic) = 4.488080356120086424314153687406 y[1] (numeric) = 4.4880803561200864243141536874058 absolute error = 2e-31 relative error = 4.4562481981249234763101437729737e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.444 y[1] (analytic) = 4.4893776979333300601791135748592 y[1] (numeric) = 4.489377697933330060179113574859 absolute error = 2e-31 relative error = 4.4549604300852059749725720201032e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.445 y[1] (analytic) = 4.49067599436879621085815945594 y[1] (numeric) = 4.4906759943687962108581594559398 absolute error = 2e-31 relative error = 4.4536724593534552990925725425731e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=450.1MB, alloc=4.5MB, time=21.67 TOP MAIN SOLVE Loop x[1] = 3.446 y[1] (analytic) = 4.4919752451281884657431761118472 y[1] (numeric) = 4.491975245128188465743176111847 absolute error = 2e-31 relative error = 4.4523842872222363926500126471493e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.447 y[1] (analytic) = 4.493275449912256090379471109 y[1] (numeric) = 4.4932754499122560903794711089998 absolute error = 2e-31 relative error = 4.4510959149834797147093699302254e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.448 y[1] (analytic) = 4.4945766084207943257164843161699 y[1] (numeric) = 4.4945766084207943257164843161697 absolute error = 2e-31 relative error = 4.4498073439284776162710265770335e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.449 y[1] (analytic) = 4.4958787203526446883125219379786 y[1] (numeric) = 4.4958787203526446883125219379784 absolute error = 2e-31 relative error = 4.4485185753478807260939597729148e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (analytic) = 4.4971817854056952714932148600522 y[1] (numeric) = 4.4971817854056952714932148600521 absolute error = 1e-31 relative error = 2.2236148052658471727491754125785e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.451 y[1] (analytic) = 4.4984858032768810474634001473992 y[1] (numeric) = 4.498485803276881047463400147399 absolute error = 2e-31 relative error = 4.4459404507692748521565361408543e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.452 y[1] (analytic) = 4.4997907736621841703721235841547 y[1] (numeric) = 4.4997907736621841703721235841545 absolute error = 2e-31 relative error = 4.4446510973493261128806238812251e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.453 y[1] (analytic) = 4.5010966962566342803304601897156 y[1] (numeric) = 4.5010966962566342803304601897154 absolute error = 2e-31 relative error = 4.4433615515598959054150009169533e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.454 y[1] (analytic) = 4.5024035707543088083818486934695 y[1] (numeric) = 4.5024035707543088083818486934693 absolute error = 2e-31 relative error = 4.4420718146883723492418556435728e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.455 y[1] (analytic) = 4.5037113968483332824246349978095 y[1] (numeric) = 4.5037113968483332824246349978093 absolute error = 2e-31 relative error = 4.4407818880214803454077432817787e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.456 y[1] (analytic) = 4.5050201742308816340865187069163 y[1] (numeric) = 4.5050201742308816340865187069161 absolute error = 2e-31 relative error = 4.4394917728452780253791214859861e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.457 y[1] (analytic) = 4.5063299025931765065505958468871 y[1] (numeric) = 4.506329902593176506550595846887 absolute error = 1e-31 relative error = 2.2191007352225766044673427082807e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.458 y[1] (analytic) = 4.5076405816254895633326899511944 y[1] (numeric) = 4.5076405816254895633326899511943 absolute error = 1e-31 relative error = 2.2184554910529099355511164490265e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.459 y[1] (analytic) = 4.5089522110171417980096627341682 y[1] (numeric) = 4.5089522110171417980096627341681 absolute error = 1e-31 relative error = 2.2178101545556573090738459442704e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (analytic) = 4.510264790456503844898394624218 y[1] (numeric) = 4.5102647904565038448983946242179 absolute error = 1e-31 relative error = 2.2171647263724965863119221125137e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.461 y[1] (analytic) = 4.5115783196309962906851244778396 y[1] (numeric) = 4.5115783196309962906851244778395 absolute error = 1e-31 relative error = 2.2165192071447634337430907438413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.462 y[1] (analytic) = 4.5128927982270899870048368450927 y[1] (numeric) = 4.5128927982270899870048368450926 absolute error = 1e-31 relative error = 2.2158735975134495746416154214247e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.463 y[1] (analytic) = 4.5142082259303063639703842071879 y[1] (numeric) = 4.5142082259303063639703842071878 absolute error = 1e-31 relative error = 2.2152278981192010452142954410358e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.464 y[1] (analytic) = 4.515524602425217744651030657088 y[1] (numeric) = 4.5155246024252177446510306570878 absolute error = 2e-31 relative error = 4.4291642192046329105618197731266e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.465 y[1] (analytic) = 4.5168419273954476605001025446045 y[1] (numeric) = 4.5168419273954476605001025446043 absolute error = 2e-31 relative error = 4.4278724652054905070052204801939e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.466 y[1] (analytic) = 4.5181602005236711677314306583671 y[1] (numeric) = 4.5181602005236711677314306583669 absolute error = 2e-31 relative error = 4.4265805355201719943234703949367e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.467 y[1] (analytic) = 4.5194794214916151646442675682479 y[1] (numeric) = 4.5194794214916151646442675682477 absolute error = 2e-31 relative error = 4.4252884314271692529929454494850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.468 y[1] (analytic) = 4.5207995899800587098963628033514 y[1] (numeric) = 4.5207995899800587098963628033512 absolute error = 2e-31 relative error = 4.4239961542042654871874916571391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.469 y[1] (analytic) = 4.5221207056688333417248775925211 y[1] (numeric) = 4.5221207056688333417248775925208 absolute error = 3e-31 relative error = 6.6340555576927976875309500721742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (analytic) = 4.5234427682368233981148199464733 y[1] (numeric) = 4.5234427682368233981148199464731 absolute error = 2e-31 relative error = 4.4214110854763237279174441368848e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.471 y[1] (analytic) = 4.5247657773619663379146799131523 y[1] (numeric) = 4.5247657773619663379146799131521 absolute error = 2e-31 relative error = 4.4201182965232779091225423756150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.472 y[1] (analytic) = 4.5260897327212530628989438906955 y[1] (numeric) = 4.5260897327212530628989438906953 absolute error = 2e-31 relative error = 4.4188253395443085946839115160471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.473 y[1] (analytic) = 4.5274146339907282407771659355233 y[1] (numeric) = 4.5274146339907282407771659355231 absolute error = 2e-31 relative error = 4.4175322158136042935854804206868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=453.9MB, alloc=4.5MB, time=21.86 TOP MAIN SOLVE Loop x[1] = 3.474 y[1] (analytic) = 4.5287404808454906291492730565084 y[1] (numeric) = 4.5287404808454906291492730565082 absolute error = 2e-31 relative error = 4.4162389266046243770346376346800e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.475 y[1] (analytic) = 4.5300672729596934004067805399458 y[1] (numeric) = 4.5300672729596934004067805399456 absolute error = 2e-31 relative error = 4.4149454731900957002440899530403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.476 y[1] (analytic) = 4.5313950100065444675795924041366 y[1] (numeric) = 4.5313950100065444675795924041363 absolute error = 3e-31 relative error = 6.6204777852630138500710699426409e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.477 y[1] (analytic) = 4.5327236916583068111280611368103 y[1] (numeric) = 4.53272369165830681112806113681 absolute error = 3e-31 relative error = 6.6185371182474250525309221451334e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.478 y[1] (analytic) = 4.5340533175862988066799799233557 y[1] (numeric) = 4.5340533175862988066799799233554 absolute error = 3e-31 relative error = 6.6165962106441408521742937288192e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.479 y[1] (analytic) = 4.5353838874608945537121796288928 y[1] (numeric) = 4.5353838874608945537121796288925 absolute error = 3e-31 relative error = 6.6146550643578060377213665761730e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (analytic) = 4.5367154009515242051764018526177 y[1] (numeric) = 4.5367154009515242051764018526174 absolute error = 3e-31 relative error = 6.6127136812919414936959825721257e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.481 y[1] (analytic) = 4.5380478577266742980691184285751 y[1] (numeric) = 4.5380478577266742980691184285748 absolute error = 3e-31 relative error = 6.6107720633489392157309221363897e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.482 y[1] (analytic) = 4.5393812574538880849449668030651 y[1] (numeric) = 4.5393812574538880849449668030648 absolute error = 3e-31 relative error = 6.6088302124300573396744945700526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.483 y[1] (analytic) = 4.540715599799765866373469775278 y[1] (numeric) = 4.5407155997997658663734697752776 absolute error = 4e-31 relative error = 8.8091841739138869126752154446139e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.484 y[1] (analytic) = 4.5420508844299653243387071444637 y[1] (numeric) = 4.5420508844299653243387071444633 absolute error = 4e-31 relative error = 8.8065944256853177454276978512094e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.485 y[1] (analytic) = 4.5433871110092018565816058639936 y[1] (numeric) = 4.5433871110092018565816058639932 absolute error = 4e-31 relative error = 8.8040043744181381101784733302984e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.486 y[1] (analytic) = 4.5447242792012489118845143600507 y[1] (numeric) = 4.5447242792012489118845143600502 absolute error = 5e-31 relative error = 1.1001767528301557115457064801662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.487 y[1] (analytic) = 4.5460623886689383262977257304027 y[1] (numeric) = 4.5460623886689383262977257304022 absolute error = 5e-31 relative error = 1.0998529216102491876854498129525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.488 y[1] (analytic) = 4.5474014390741606603076135967632 y[1] (numeric) = 4.5474014390741606603076135967627 absolute error = 5e-31 relative error = 1.0995290534582729192315165450186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.489 y[1] (analytic) = 4.5487414300778655369460434426321 y[1] (numeric) = 4.5487414300778655369460434426316 absolute error = 5e-31 relative error = 1.0992051486897574217322386947858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (analytic) = 4.5500823613400619808407213272332 y[1] (numeric) = 4.5500823613400619808407213272327 absolute error = 5e-31 relative error = 1.0988812076200376892096626442562e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.491 y[1] (analytic) = 4.5514242325198187582061409252278 y[1] (numeric) = 4.5514242325198187582061409252272 absolute error = 6e-31 relative error = 1.3182686766771028637234833128673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.492 y[1] (analytic) = 4.5527670432752647177747889012854 y[1] (numeric) = 4.5527670432752647177747889012848 absolute error = 6e-31 relative error = 1.3178798614048116522287271811695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.493 y[1] (analytic) = 4.5541107932635891326682676883361 y[1] (numeric) = 4.5541107932635891326682676883354 absolute error = 7e-31 relative error = 1.5370728376556745539577362929175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.494 y[1] (analytic) = 4.5554554821410420432079937984078 y[1] (numeric) = 4.5554554821410420432079937984071 absolute error = 7e-31 relative error = 1.5366191212804990154225211227877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.495 y[1] (analytic) = 4.5568011095629346006651288553812 y[1] (numeric) = 4.5568011095629346006651288553806 absolute error = 6e-31 relative error = 1.3167131625315746475911791040007e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.496 y[1] (analytic) = 4.5581476751836394119493995997584 y[1] (numeric) = 4.5581476751836394119493995997577 absolute error = 7e-31 relative error = 1.5357115431144917513666447203989e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.497 y[1] (analytic) = 4.5594951786565908852364621766537 y[1] (numeric) = 4.5594951786565908852364621766531 absolute error = 6e-31 relative error = 1.3159351561739866305203360855324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.498 y[1] (analytic) = 4.5608436196342855765334650796734 y[1] (numeric) = 4.5608436196342855765334650796728 absolute error = 6e-31 relative error = 1.3155460919927603614212024807306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.499 y[1] (analytic) = 4.5621929977682825371824641851474 y[1] (numeric) = 4.5621929977682825371824641851467 absolute error = 7e-31 relative error = 1.5343498189191547321546461343280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (analytic) = 4.5635433127092036623013423733282 y[1] (numeric) = 4.5635433127092036623013423733276 absolute error = 6e-31 relative error = 1.3147678435066777405681442916910e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.501 y[1] (analytic) = 4.564894564106734040161885295668 y[1] (numeric) = 4.5648945641067340401618852956673 absolute error = 7e-31 relative error = 1.5334417699458456899730242343392e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=457.7MB, alloc=4.5MB, time=22.05 TOP MAIN SOLVE Loop x[1] = 3.502 y[1] (analytic) = 4.5662467516096223025046639101234 y[1] (numeric) = 4.5662467516096223025046639101228 absolute error = 6e-31 relative error = 1.3139894373612142831238444161528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.503 y[1] (analytic) = 4.5675998748656809757903734696394 y[1] (numeric) = 4.5675998748656809757903734696387 absolute error = 7e-31 relative error = 1.5325335387889790608024004068003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.504 y[1] (analytic) = 4.5689539335217868333872777124976 y[1] (numeric) = 4.568953933521786833387277712497 absolute error = 6e-31 relative error = 1.3132108765594734778759042247342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.505 y[1] (analytic) = 4.5703089272238812486944060671192 y[1] (numeric) = 4.5703089272238812486944060671186 absolute error = 6e-31 relative error = 1.3128215390998849812572868363443e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.506 y[1] (analytic) = 4.5716648556169705492001507481502 y[1] (numeric) = 4.5716648556169705492001507481496 absolute error = 6e-31 relative error = 1.3124321641005917541011250560506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.507 y[1] (analytic) = 4.5730217183451263714759096852642 y[1] (numeric) = 4.5730217183451263714759096852636 absolute error = 6e-31 relative error = 1.3120427519358611202211459022183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.508 y[1] (analytic) = 4.5743795150514860171044202910689 y[1] (numeric) = 4.5743795150514860171044202910683 absolute error = 6e-31 relative error = 1.3116533029797087563268605063780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.509 y[1] (analytic) = 4.5757382453782528095424281398111 y[1] (numeric) = 4.5757382453782528095424281398104 absolute error = 7e-31 relative error = 1.5298077872068807350297006129475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.51 y[1] (analytic) = 4.5770979089666964519173336942424 y[1] (numeric) = 4.5770979089666964519173336942417 absolute error = 7e-31 relative error = 1.5293533455525940973877029195361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.511 y[1] (analytic) = 4.5784585054571533857574592840288 y[1] (numeric) = 4.578458505457153385757459284028 absolute error = 8e-31 relative error = 1.7473129854654454169212782641953e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.512 y[1] (analytic) = 4.5798200344890271506555776054654 y[1] (numeric) = 4.5798200344890271506555776054647 absolute error = 7e-31 relative error = 1.5284443378310592412537636492391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.513 y[1] (analytic) = 4.5811824957007887448653420790006 y[1] (numeric) = 4.5811824957007887448653420789998 absolute error = 8e-31 relative error = 1.7462740258672517295606100393214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.514 y[1] (analytic) = 4.5825458887299769868302584681659 y[1] (numeric) = 4.5825458887299769868302584681651 absolute error = 8e-31 relative error = 1.7457544767145034221951935578192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.515 y[1] (analytic) = 4.5839102132131988776448362309734 y[1] (numeric) = 4.5839102132131988776448362309726 absolute error = 8e-31 relative error = 1.7452348819878418246700448431891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.516 y[1] (analytic) = 4.5852754687861299644475571426572 y[1] (numeric) = 4.5852754687861299644475571426563 absolute error = 9e-31 relative error = 1.9628046474561297725456115978591e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.517 y[1] (analytic) = 4.5866416550835147047452977968214 y[1] (numeric) = 4.5866416550835147047452977968205 absolute error = 9e-31 relative error = 1.9622200025208042497150690387836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.518 y[1] (analytic) = 4.5880087717391668316688416606029 y[1] (numeric) = 4.588008771739166831668841660602 absolute error = 9e-31 relative error = 1.9616353079875191556178332906022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.519 y[1] (analytic) = 4.5893768183859697201591154283666 y[1] (numeric) = 4.5893768183859697201591154283658 absolute error = 8e-31 relative error = 1.7431560572560495607548117353063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (analytic) = 4.5907457946558767540837834877278 y[1] (numeric) = 4.590745794655876754083783487727 absolute error = 8e-31 relative error = 1.7426362420922680690665489085801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.521 y[1] (analytic) = 4.592115700179911694283833381337 y[1] (numeric) = 4.5921157001799116942838333813363 absolute error = 7e-31 relative error = 1.5243518362844715080783761892252e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.522 y[1] (analytic) = 4.5934865345881690475497842178742 y[1] (numeric) = 4.5934865345881690475497842178735 absolute error = 7e-31 relative error = 1.5238969238923844851550337011145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.523 y[1] (analytic) = 4.5948582975098144365271490560723 y[1] (numeric) = 4.5948582975098144365271490560716 absolute error = 7e-31 relative error = 1.5234419750862944376649127708202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.524 y[1] (analytic) = 4.5962309885730849705507813563408 y[1] (numeric) = 4.5962309885730849705507813563401 absolute error = 7e-31 relative error = 1.5229869902977119577080777932918e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.525 y[1] (analytic) = 4.5976046074052896174077346656723 y[1] (numeric) = 4.5976046074052896174077346656716 absolute error = 7e-31 relative error = 1.5225319699578362634098395775572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.526 y[1] (analytic) = 4.5989791536328095760282637730041 y[1] (numeric) = 4.5989791536328095760282637730034 absolute error = 7e-31 relative error = 1.5220769144975541821192497257162e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.527 y[1] (analytic) = 4.600354626881098650104594644064 y[1] (numeric) = 4.6003546268810986501045946440633 absolute error = 7e-31 relative error = 1.5216218243474391368796577536761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.528 y[1] (analytic) = 4.6017310267746836226370895169628 y[1] (numeric) = 4.6017310267746836226370895169621 absolute error = 7e-31 relative error = 1.5211666999377501361717609420087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.529 y[1] (analytic) = 4.6031083529371646314074326123981 y[1] (numeric) = 4.6031083529371646314074326123974 absolute error = 7e-31 relative error = 1.5207115416984307669295466414633e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=461.5MB, alloc=4.5MB, time=22.23 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (analytic) = 4.604486604991215545378460985316 y[1] (numeric) = 4.6044866049912155453784609853153 absolute error = 7e-31 relative error = 1.5202563500591081908294965638338e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.531 y[1] (analytic) = 4.6058657825585843420202641182308 y[1] (numeric) = 4.6058657825585843420202641182301 absolute error = 7e-31 relative error = 1.5198011254490921438533924653202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.532 y[1] (analytic) = 4.6072458852600934855621749301348 y[1] (numeric) = 4.6072458852600934855621749301341 absolute error = 7e-31 relative error = 1.5193458682973739391250325764769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.533 y[1] (analytic) = 4.6086269127156403061702739490382 y[1] (numeric) = 4.6086269127156403061702739490376 absolute error = 6e-31 relative error = 1.3019062105993932625895469861783e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.534 y[1] (analytic) = 4.6100088645441973800500274706676 y[1] (numeric) = 4.610008864544197380050027470667 absolute error = 6e-31 relative error = 1.3015159354998842010485996491132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.535 y[1] (analytic) = 4.611391740363812910473679600715 y[1] (numeric) = 4.6113917403638129104736796007144 absolute error = 6e-31 relative error = 1.3011256336089619868956986653362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.536 y[1] (analytic) = 4.6127755397916111097320171532785 y[1] (numeric) = 4.6127755397916111097320171532779 absolute error = 6e-31 relative error = 1.3007353052932332334563243777465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.537 y[1] (analytic) = 4.614160262443792582010125453761 y[1] (numeric) = 4.6141602624437925820101254537604 absolute error = 6e-31 relative error = 1.3003449509190273887213792184396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.538 y[1] (analytic) = 4.6155459079356347071867521705028 y[1] (numeric) = 4.6155459079356347071867521705023 absolute error = 5e-31 relative error = 1.0832954757103299145643254615187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.539 y[1] (analytic) = 4.616932475881492025556895375817 y[1] (numeric) = 4.6169324758814920255568953758165 absolute error = 5e-31 relative error = 1.0829701378825928052023855934685e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (analytic) = 4.6183199658947966234772311138702 y[1] (numeric) = 4.6183199658947966234772311138698 absolute error = 4e-31 relative error = 8.6611582340311115401002631755830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.541 y[1] (analytic) = 4.6197083775880585199339948300156 y[1] (numeric) = 4.6197083775880585199339948300152 absolute error = 4e-31 relative error = 8.6585552010284961854674207854682e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.542 y[1] (analytic) = 4.621097710572866054032930093726 y[1] (numeric) = 4.6210977105728660540329300937256 absolute error = 4e-31 relative error = 8.6559520064857704404926060240660e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.543 y[1] (analytic) = 4.6224879644598862734109171252136 y[1] (numeric) = 4.6224879644598862734109171252131 absolute error = 5e-31 relative error = 1.0816685816042409206239207717780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.544 y[1] (analytic) = 4.6238791388588653235688927141376 y[1] (numeric) = 4.6238791388588653235688927141371 absolute error = 5e-31 relative error = 1.0813431428127591927899384060273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.545 y[1] (analytic) = 4.6252712333786288381256721975145 y[1] (numeric) = 4.625271233378628838125672197514 absolute error = 5e-31 relative error = 1.0810176847396779530731817595313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.546 y[1] (analytic) = 4.6266642476270823299922832430397 y[1] (numeric) = 4.6266642476270823299922832430391 absolute error = 6e-31 relative error = 1.2968306492257942344866425709919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.547 y[1] (analytic) = 4.62805818121121158346642026352 y[1] (numeric) = 4.6280581812112115834664202635195 absolute error = 5e-31 relative error = 1.0803667119611377323007508964133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.548 y[1] (analytic) = 4.6294530337370830472466273679965 y[1] (numeric) = 4.629453033737083047246627367996 absolute error = 5e-31 relative error = 1.0800411978612938533571466789841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.549 y[1] (analytic) = 4.6308488048098442283658168354047 y[1] (numeric) = 4.6308488048098442283658168354042 absolute error = 5e-31 relative error = 1.0797156656910793194326721132369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.55 y[1] (analytic) = 4.6322454940337240870437291772895 y[1] (numeric) = 4.632245494033724087043729177289 absolute error = 5e-31 relative error = 1.0793901157527033591588431732833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.551 y[1] (analytic) = 4.6336431010120334324579399371457 y[1] (numeric) = 4.6336431010120334324579399371452 absolute error = 5e-31 relative error = 1.0790645483481346677933742005094e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.552 y[1] (analytic) = 4.6350416253471653194330174554108 y[1] (numeric) = 4.6350416253471653194330174554103 absolute error = 5e-31 relative error = 1.0787389637791007417446410191216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.553 y[1] (analytic) = 4.6364410666405954460474349109858 y[1] (numeric) = 4.6364410666405954460474349109853 absolute error = 5e-31 relative error = 1.0784133623470872154344242486655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.554 y[1] (analytic) = 4.6378414244928825521578390324047 y[1] (numeric) = 4.6378414244928825521578390324042 absolute error = 5e-31 relative error = 1.0780877443533372004986945936782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.555 y[1] (analytic) = 4.6392426985036688188402769544171 y[1] (numeric) = 4.6392426985036688188402769544166 absolute error = 5e-31 relative error = 1.0777621100988506273261816271368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.556 y[1] (analytic) = 4.6406448882716802687479817787906 y[1] (numeric) = 4.6406448882716802687479817787901 absolute error = 5e-31 relative error = 1.0774364598843835889344473749669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.557 y[1] (analytic) = 4.6420479933947271673853164815808 y[1] (numeric) = 4.6420479933947271673853164815803 absolute error = 5e-31 relative error = 1.0771107940104476871831658537132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.5MB, time=22.42 x[1] = 3.558 y[1] (analytic) = 4.6434520134697044252974748929581 y[1] (numeric) = 4.6434520134697044252974748929576 absolute error = 5e-31 relative error = 1.0767851127773093813242896126890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.559 y[1] (analytic) = 4.6448569480925920011755375599243 y[1] (numeric) = 4.6448569480925920011755375599238 absolute error = 5e-31 relative error = 1.0764594164849893388887642856469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (analytic) = 4.6462627968584553058764793868963 y[1] (numeric) = 4.6462627968584553058764793868958 absolute error = 5e-31 relative error = 1.0761337054332617889094321653820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.561 y[1] (analytic) = 4.6476695593614456073577250341834 y[1] (numeric) = 4.6476695593614456073577250341829 absolute error = 5e-31 relative error = 1.0758079799216538774797458778240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.562 y[1] (analytic) = 4.6490772351948004365258471398359 y[1] (numeric) = 4.6490772351948004365258471398354 absolute error = 5e-31 relative error = 1.0754822402494450256478933502309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.563 y[1] (analytic) = 4.6504858239508439939990015162012 y[1] (numeric) = 4.6504858239508439939990015162007 absolute error = 5e-31 relative error = 1.0751564867156662896459154411909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.564 y[1] (analytic) = 4.651895325220987557782692558786 y[1] (numeric) = 4.6518953252209875577826925587855 absolute error = 5e-31 relative error = 1.0748307196190997234533778283960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.565 y[1] (analytic) = 4.6533057385957298918584611916928 y[1] (numeric) = 4.6533057385957298918584611916923 absolute error = 5e-31 relative error = 1.0745049392582777436951390337089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.566 y[1] (analytic) = 4.654717063664657655685086760977 y[1] (numeric) = 4.6547170636646576556850867609765 absolute error = 5e-31 relative error = 1.0741791459314824968727368040157e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.567 y[1] (analytic) = 4.656129300016445814611893374757 y[1] (numeric) = 4.6561293000164458146118933747565 absolute error = 5e-31 relative error = 1.0738533399367452289288954608781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.568 y[1] (analytic) = 4.6575424472388580512037502768051 y[1] (numeric) = 4.6575424472388580512037502768047 absolute error = 4e-31 relative error = 8.5882201725747652571570982574596e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.569 y[1] (analytic) = 4.6589565049187471774773549286531 y[1] (numeric) = 4.6589565049187471774773549286527 absolute error = 4e-31 relative error = 8.5856135290744907549476918796675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (analytic) = 4.6603714726420555480483865639633 y[1] (numeric) = 4.6603714726420555480483865639629 absolute error = 4e-31 relative error = 8.5830067913713366046162795234196e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.571 y[1] (analytic) = 4.6617873499938154741891170680467 y[1] (numeric) = 4.6617873499938154741891170680464 absolute error = 3e-31 relative error = 6.4352999713811054206009162214990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.572 y[1] (analytic) = 4.663204136558149638796065124952 y[1] (numeric) = 4.6632041365581496387960651249517 absolute error = 3e-31 relative error = 6.4333447821442811770562426820165e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.573 y[1] (analytic) = 4.6646218319182715122672786645043 y[1] (numeric) = 4.664621831918271512267278664504 absolute error = 3e-31 relative error = 6.4313895275971061270183097134494e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.574 y[1] (analytic) = 4.6660404356564857692888297320481 y[1] (numeric) = 4.6660404356564857692888297320477 absolute error = 4e-31 relative error = 8.5725789460228335796303434575737e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.575 y[1] (analytic) = 4.6674599473541887065301049944321 y[1] (numeric) = 4.6674599473541887065301049944317 absolute error = 4e-31 relative error = 8.5699717729071308049415410747958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.576 y[1] (analytic) = 4.6688803665918686612474741869823 y[1] (numeric) = 4.6688803665918686612474741869819 absolute error = 4e-31 relative error = 8.5673645198149944267040552633903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.577 y[1] (analytic) = 4.6703016929491064307959178978279 y[1] (numeric) = 4.6703016929491064307959178978275 absolute error = 4e-31 relative error = 8.5647571891103290792739256627197e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.578 y[1] (analytic) = 4.6717239260045756930481951779884 y[1] (numeric) = 4.671723926004575693048195177988 absolute error = 4e-31 relative error = 8.5621497831549779448075228400687e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.579 y[1] (analytic) = 4.6731470653360434277211305580887 y[1] (numeric) = 4.6731470653360434277211305580883 absolute error = 4e-31 relative error = 8.5595423043087179333903702088599e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (analytic) = 4.674571110520370338608599145451 y[1] (numeric) = 4.6745711105203703386085991454506 absolute error = 4e-31 relative error = 8.5569347549292548817651365863077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.581 y[1] (analytic) = 4.6759960611335112767207875686126 y[1] (numeric) = 4.6759960611335112767207875686123 absolute error = 3e-31 relative error = 6.4157453530291640779895037522545e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.582 y[1] (analytic) = 4.6774219167505156643293076300451 y[1] (numeric) = 4.6774219167505156643293076300448 absolute error = 3e-31 relative error = 6.4137895904933692204948549828939e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.583 y[1] (analytic) = 4.678848676945527919917738621995 y[1] (numeric) = 4.6788486769455279199177386219947 absolute error = 3e-31 relative error = 6.4118337803531545850756193941173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.584 y[1] (analytic) = 4.680276341291787884037173354941 y[1] (numeric) = 4.6802763412917878840371733549407 absolute error = 3e-31 relative error = 6.4098779243705505985445247754709e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.585 y[1] (analytic) = 4.6817049093616312460663420431556 y[1] (numeric) = 4.6817049093616312460663420431553 absolute error = 3e-31 relative error = 6.4079220243060165870130150693074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.5MB, time=22.60 x[1] = 3.586 y[1] (analytic) = 4.6831343807264899718758872872834 y[1] (numeric) = 4.6831343807264899718758872872831 absolute error = 3e-31 relative error = 6.4059660819184372585330738764242e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.587 y[1] (analytic) = 4.684564754956892732396362489697 y[1] (numeric) = 4.6845647549568927323963624896967 absolute error = 3e-31 relative error = 6.4040100989651191996539039258346e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.588 y[1] (analytic) = 4.6859960316224653330895251346672 y[1] (numeric) = 4.685996031622465333089525134667 absolute error = 2e-31 relative error = 4.2680360514678582572587240778281e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.589 y[1] (analytic) = 4.6874282102919311443224954620908 y[1] (numeric) = 4.6874282102919311443224954620906 absolute error = 2e-31 relative error = 4.2667320122550544707211544081803e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.59 y[1] (analytic) = 4.6888612905331115326443501606522 y[1] (numeric) = 4.6888612905331115326443501606519 absolute error = 3e-31 relative error = 6.3981419242600535006830306842104e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.591 y[1] (analytic) = 4.6902952719129262929647198038615 y[1] (numeric) = 4.6902952719129262929647198038613 absolute error = 2e-31 relative error = 4.2641238643901080759356617176738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.592 y[1] (analytic) = 4.6917301539973940816339578504089 y[1] (numeric) = 4.6917301539973940816339578504086 absolute error = 3e-31 relative error = 6.3942296371072714597660615730232e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.593 y[1] (analytic) = 4.6931659363516328504244481286994 y[1] (numeric) = 4.6931659363516328504244481286991 absolute error = 3e-31 relative error = 6.3922734475741466020341857226527e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.594 y[1] (analytic) = 4.6946026185398602814126168243004 y[1] (numeric) = 4.6946026185398602814126168243001 absolute error = 3e-31 relative error = 6.3903172297319503480158062930723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.595 y[1] (analytic) = 4.696040200125394222761214088323 y[1] (numeric) = 4.6960402001253942227612140883227 absolute error = 3e-31 relative error = 6.3883609853252398562361279930997e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.596 y[1] (analytic) = 4.697478680670653125401429484494 y[1] (numeric) = 4.6974786806706531254014294844937 absolute error = 3e-31 relative error = 6.3864047160969632579729223241685e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.597 y[1] (analytic) = 4.6989180597371564806144045928384 y[1] (numeric) = 4.6989180597371564806144045928382 absolute error = 2e-31 relative error = 4.2562989491923041950986727290736e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.598 y[1] (analytic) = 4.7003583368855252585117051884968 y[1] (numeric) = 4.7003583368855252585117051884965 absolute error = 3e-31 relative error = 6.3824921101394389570684541471666e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.599 y[1] (analytic) = 4.7017995116754823474143145152411 y[1] (numeric) = 4.7017995116754823474143145152408 absolute error = 3e-31 relative error = 6.3805357768880121685109147557759e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (analytic) = 4.7032415836658529941297082747341 y[1] (numeric) = 4.7032415836658529941297082747338 absolute error = 3e-31 relative error = 6.3785794257706544416424578227161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.601 y[1] (analytic) = 4.7046845524145652451265710544914 y[1] (numeric) = 4.7046845524145652451265710544911 absolute error = 3e-31 relative error = 6.3766230585222185792710701620978e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.602 y[1] (analytic) = 4.7061284174786503886067130198691 y[1] (numeric) = 4.7061284174786503886067130198688 absolute error = 3e-31 relative error = 6.3746666768759283769189745389689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.603 y[1] (analytic) = 4.7075731784142433974737447981954 y[1] (numeric) = 4.7075731784142433974737447981951 absolute error = 3e-31 relative error = 6.3727102825633753412117599553754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.604 y[1] (analytic) = 4.709018834776583373198067586409 y[1] (numeric) = 4.7090188347765833731980675864086 absolute error = 4e-31 relative error = 8.4943385030860205627683064214244e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.605 y[1] (analytic) = 4.7104653861200139905777346172506 y[1] (numeric) = 4.7104653861200139905777346172502 absolute error = 4e-31 relative error = 8.4917299504768876783196894834817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.606 y[1] (analytic) = 4.7119128319979839433947392231843 y[1] (numeric) = 4.7119128319979839433947392231839 absolute error = 4e-31 relative error = 8.4891213878926685860318821678019e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.607 y[1] (analytic) = 4.7133611719630473909662838417964 y[1] (numeric) = 4.713361171963047390966283841796 absolute error = 4e-31 relative error = 8.4865128176334030338996538193588e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.608 y[1] (analytic) = 4.7148104055668644055905834114408 y[1] (numeric) = 4.7148104055668644055905834114404 absolute error = 4e-31 relative error = 8.4839042419969327832967187100275e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.609 y[1] (analytic) = 4.7162605323602014208867557113647 y[1] (numeric) = 4.7162605323602014208867557113643 absolute error = 4e-31 relative error = 8.4812956632788973438175323329524e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (analytic) = 4.7177115518929316810283503064616 y[1] (numeric) = 4.7177115518929316810283503064612 absolute error = 4e-31 relative error = 8.4786870837727297264710313880245e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.611 y[1] (analytic) = 4.7191634637140356908700668631598 y[1] (numeric) = 4.7191634637140356908700668631594 absolute error = 4e-31 relative error = 8.4760785057696522152158903426476e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.612 y[1] (analytic) = 4.7206162673716016669672127097664 y[1] (numeric) = 4.720616267371601666967212709766 absolute error = 4e-31 relative error = 8.4734699315586721568267314611930e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.613 y[1] (analytic) = 4.7220699624128259894874486218457 y[1] (numeric) = 4.7220699624128259894874486218452 absolute error = 5e-31 relative error = 1.0588576704283222211350737105551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.5MB, time=22.79 x[1] = 3.614 y[1] (analytic) = 4.7235245483840136550143709209246 y[1] (numeric) = 4.7235245483840136550143709209241 absolute error = 5e-31 relative error = 1.0585316004572417459065998384242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.615 y[1] (analytic) = 4.7249800248305787302424770829807 y[1] (numeric) = 4.7249800248305787302424770829803 absolute error = 4e-31 relative error = 8.4656442545350782089113300506093e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.616 y[1] (analytic) = 4.7264363912970448065630611617853 y[1] (numeric) = 4.7264363912970448065630611617849 absolute error = 4e-31 relative error = 8.4630357183381163569984828471443e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.617 y[1] (analytic) = 4.7278936473270454555405844412427 y[1] (numeric) = 4.7278936473270454555405844412423 absolute error = 4e-31 relative error = 8.4604271973449185611886884747572e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.618 y[1] (analytic) = 4.7293517924633246852790658403947 y[1] (numeric) = 4.7293517924633246852790658403943 absolute error = 4e-31 relative error = 8.4578186938311151575110610517145e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.619 y[1] (analytic) = 4.730810826247737397678035704737 y[1] (numeric) = 4.7308108262477373976780357047366 absolute error = 4e-31 relative error = 8.4552102100700925862251921847731e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (analytic) = 4.732270748221249846577595727932 y[1] (numeric) = 4.7322707482212498465775957279316 absolute error = 4e-31 relative error = 8.4526017483329893279385562101668e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.621 y[1] (analytic) = 4.7337315579239400967921268588961 y[1] (numeric) = 4.7337315579239400967921268588957 absolute error = 4e-31 relative error = 8.4499933108886918579537605031118e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.622 y[1] (analytic) = 4.735193254894998484032186160592 y[1] (numeric) = 4.7351932548949984840321861605916 absolute error = 4e-31 relative error = 8.4473849000038306188337442489052e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.623 y[1] (analytic) = 4.7366558386727280757141326986679 y[1] (numeric) = 4.7366558386727280757141326986675 absolute error = 4e-31 relative error = 8.4447765179427760111728983695356e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.624 y[1] (analytic) = 4.7381193087945451326570216503548 y[1] (numeric) = 4.7381193087945451326570216503545 absolute error = 3e-31 relative error = 6.3316261252257258019214618131965e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.625 y[1] (analytic) = 4.7395836647969795716663049367684 y[1] (numeric) = 4.739583664796979571666304936768 absolute error = 4e-31 relative error = 8.4395598493382441547343178512357e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.626 y[1] (analytic) = 4.7410489062156754290038757949507 y[1] (numeric) = 4.7410489062156754290038757949503 absolute error = 4e-31 relative error = 8.4369515673121716688815411903512e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.627 y[1] (analytic) = 4.7425150325853913247439938196485 y[1] (numeric) = 4.7425150325853913247439938196481 absolute error = 4e-31 relative error = 8.4343433231447074491252051254543e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.628 y[1] (analytic) = 4.7439820434400009280146261189396 y[1] (numeric) = 4.7439820434400009280146261189392 absolute error = 4e-31 relative error = 8.4317351190888621841327207072226e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.629 y[1] (analytic) = 4.7454499383124934231237393424063 y[1] (numeric) = 4.7454499383124934231237393424059 absolute error = 4e-31 relative error = 8.4291269573953628468641392867833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (analytic) = 4.746918716734973976570076455602 y[1] (numeric) = 4.7469187167349739765700764556016 absolute error = 4e-31 relative error = 8.4265188403126488124370789048250e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.631 y[1] (analytic) = 4.7483883782386642049379512500734 y[1] (numeric) = 4.748388378238664204937951250073 absolute error = 4e-31 relative error = 8.4239107700868679940967063419146e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.632 y[1] (analytic) = 4.7498589223539026436755926941829 y[1] (numeric) = 4.7498589223539026436755926941825 absolute error = 4e-31 relative error = 8.4213027489618729972775930432849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.633 y[1] (analytic) = 4.7513303486101452167565703464253 y[1] (numeric) = 4.7513303486101452167565703464249 absolute error = 4e-31 relative error = 8.4186947791792172917441372858390e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.634 y[1] (analytic) = 4.7528026565359657072238311698532 y[1] (numeric) = 4.7528026565359657072238311698529 absolute error = 3e-31 relative error = 6.3120651472336135513470896976145e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.635 y[1] (analytic) = 4.7542758456590562286158772036138 y[1] (numeric) = 4.7542758456590562286158772036134 absolute error = 4e-31 relative error = 8.4134790025956191145258335628344e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.636 y[1] (analytic) = 4.7557499155062276972746126654568 y[1] (numeric) = 4.7557499155062276972746126654564 absolute error = 4e-31 relative error = 8.4108712002662537061131097850038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.637 y[1] (analytic) = 4.7572248656034103055343881774085 y[1] (numeric) = 4.7572248656034103055343881774081 absolute error = 4e-31 relative error = 8.4082634582223741861444268411526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.638 y[1] (analytic) = 4.7587006954756539957917689256049 y[1] (numeric) = 4.7587006954756539957917689256045 absolute error = 4e-31 relative error = 8.4056557786939815599421797095512e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.639 y[1] (analytic) = 4.7601774046471289354555526845566 y[1] (numeric) = 4.7601774046471289354555526845562 absolute error = 4e-31 relative error = 8.4030481639087551088900531909002e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.64 y[1] (analytic) = 4.7616549926411259927765627558659 y[1] (numeric) = 4.7616549926411259927765627558655 absolute error = 4e-31 relative error = 8.4004406160920486887403254363706e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.641 y[1] (analytic) = 4.7631334589800572135567399916443 y[1] (numeric) = 4.7631334589800572135567399916439 absolute error = 4e-31 relative error = 8.3978331374668870458888047497654e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.5MB, time=22.97 x[1] = 3.642 y[1] (analytic) = 4.7646128031854562987370571935765 y[1] (numeric) = 4.7646128031854562987370571935761 absolute error = 4e-31 relative error = 8.3952257302539621516029813815176e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.643 y[1] (analytic) = 4.7660930247779790828637782997573 y[1] (numeric) = 4.7660930247779790828637782997569 absolute error = 4e-31 relative error = 8.3926183966716295541888550714950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.644 y[1] (analytic) = 4.7675741232774040134325838930822 y[1] (numeric) = 4.7675741232774040134325838930818 absolute error = 4e-31 relative error = 8.3900111389359047490817786266718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.645 y[1] (analytic) = 4.769056098202632631110083687105 y[1] (numeric) = 4.7690560982026326311100836871047 absolute error = 3e-31 relative error = 6.2905529694453446751349033791487e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.646 y[1] (analytic) = 4.7705389490716900508322357678917 y[1] (numeric) = 4.7705389490716900508322357678913 absolute error = 4e-31 relative error = 8.3847968598566185790717685570995e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.647 y[1] (analytic) = 4.7720226754017254437791914934893 y[1] (numeric) = 4.7720226754017254437791914934889 absolute error = 4e-31 relative error = 8.3821898429333555221436927289882e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.648 y[1] (analytic) = 4.7735072767090125202260840762073 y[1] (numeric) = 4.7735072767090125202260840762069 absolute error = 4e-31 relative error = 8.3795829106972897388840367159202e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.649 y[1] (analytic) = 4.7749927525089500132692779969614 y[1] (numeric) = 4.7749927525089500132692779969611 absolute error = 3e-31 relative error = 6.2827320490145119785276578760629e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (analytic) = 4.7764791023160621634275955254717 y[1] (numeric) = 4.7764791023160621634275955254714 absolute error = 3e-31 relative error = 6.2807769818260756286917816631284e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.651 y[1] (analytic) = 4.7779663256439992041180357451281 y[1] (numeric) = 4.7779663256439992041180357451278 absolute error = 3e-31 relative error = 6.2788219831073094974314340329240e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.652 y[1] (analytic) = 4.7794544220055378480055006068457 y[1] (numeric) = 4.7794544220055378480055006068454 absolute error = 3e-31 relative error = 6.2768670545060884910142597420030e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.653 y[1] (analytic) = 4.7809433909125817742260416622233 y[1] (numeric) = 4.7809433909125817742260416622231 absolute error = 2e-31 relative error = 4.1832747984456723848301750051576e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.654 y[1] (analytic) = 4.7824332318761621164831402528003 y[1] (numeric) = 4.7824332318761621164831402528 absolute error = 3e-31 relative error = 6.2729574142388841968407300199475e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.655 y[1] (analytic) = 4.7839239444064379520165330591705 y[1] (numeric) = 4.7839239444064379520165330591702 absolute error = 3e-31 relative error = 6.2710027058597456881183702414827e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.656 y[1] (analytic) = 4.7854155280126967914430940411704 y[1] (numeric) = 4.7854155280126967914430940411701 absolute error = 3e-31 relative error = 6.2690480741718367249916086797009e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.657 y[1] (analytic) = 4.786907982203355069469282928299 y[1] (numeric) = 4.7869079822033550694692829282987 absolute error = 3e-31 relative error = 6.2670935208141117682559107453972e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.658 y[1] (analytic) = 4.7884013064859586364746695479622 y[1] (numeric) = 4.788401306485958636474669547962 absolute error = 2e-31 relative error = 4.1767593649491556867699387461069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.659 y[1] (analytic) = 4.789895500367183250966042408059 y[1] (numeric) = 4.7898955003671832509660424080587 absolute error = 3e-31 relative error = 6.2631846556360704522140232176836e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (analytic) = 4.7913905633528350729016090798401 y[1] (numeric) = 4.7913905633528350729016090798398 absolute error = 3e-31 relative error = 6.2612303470846941963292013941461e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.661 y[1] (analytic) = 4.7928864949478511578847950568824 y[1] (numeric) = 4.7928864949478511578847950568822 absolute error = 2e-31 relative error = 4.1728507489342514327321842783433e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.662 y[1] (analytic) = 4.7943832946562999522271468964194 y[1] (numeric) = 4.7943832946562999522271468964192 absolute error = 2e-31 relative error = 4.1715479908107266262549407036889e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.663 y[1] (analytic) = 4.7958809619813817888798445801663 y[1] (numeric) = 4.795880961981381788879844580166 absolute error = 3e-31 relative error = 6.2553679371569989690849712352883e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.664 y[1] (analytic) = 4.797379496425429384233327163169 y[1] (numeric) = 4.7973794964254293842333271631688 absolute error = 2e-31 relative error = 4.1689426519003093047567395157529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.665 y[1] (analytic) = 4.7988788974899083357845349110936 y[1] (numeric) = 4.7988788974899083357845349110934 absolute error = 2e-31 relative error = 4.1676400732806903311088327049055e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.666 y[1] (analytic) = 4.8003791646754176206712702587531 y[1] (numeric) = 4.8003791646754176206712702587529 absolute error = 2e-31 relative error = 4.1663375566609684169037225400404e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.667 y[1] (analytic) = 4.8018802974816900950731790555548 y[1] (numeric) = 4.8018802974816900950731790555546 absolute error = 2e-31 relative error = 4.1650351031217602726497434724581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.668 y[1] (analytic) = 4.8033822954075929944788526969271 y[1] (numeric) = 4.803382295407592994478852696927 absolute error = 1e-31 relative error = 2.0818663568712358460108937028538e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.669 y[1] (analytic) = 4.8048851579511284348185508746662 y[1] (numeric) = 4.8048851579511284348185508746661 absolute error = 1e-31 relative error = 2.0812151948006479792017793334501e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.5MB, time=23.16 x[1] = 3.67 y[1] (analytic) = 4.8063888846094339144620438135202 y[1] (numeric) = 4.8063888846094339144620438135201 absolute error = 1e-31 relative error = 2.0805640658876061300904611855733e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.671 y[1] (analytic) = 4.807893474878782817081071996212 y[1] (numeric) = 4.8078934748787828170810719962119 absolute error = 1e-31 relative error = 2.0799129706699920573887414099476e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.672 y[1] (analytic) = 4.8093989282545849153759205144824 y[1] (numeric) = 4.8093989282545849153759205144823 absolute error = 1e-31 relative error = 2.0792619096850789007117376112289e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.673 y[1] (analytic) = 4.8109052442313868756656043196207 y[1] (numeric) = 4.8109052442313868756656043196206 absolute error = 1e-31 relative error = 2.0786108834695304013245004623234e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.674 y[1] (analytic) = 4.8124124223028727633411597823398 y[1] (numeric) = 4.8124124223028727633411597823397 absolute error = 1e-31 relative error = 2.0779598925594001272462917346326e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.675 y[1] (analytic) = 4.8139204619618645491815371087468 y[1] (numeric) = 4.8139204619618645491815371087468 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.676 y[1] (analytic) = 4.8154293627003226165315872965589 y[1] (numeric) = 4.8154293627003226165315872965588 absolute error = 1e-31 relative error = 2.0766580187965530419580258770254e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.677 y[1] (analytic) = 4.8169391240093462693416364536181 y[1] (numeric) = 4.8169391240093462693416364536181 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.678 y[1] (analytic) = 4.8184497453791742410681394391762 y[1] (numeric) = 4.8184497453791742410681394391762 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.679 y[1] (analytic) = 4.8199612262991852044349039273352 y[1] (numeric) = 4.8199612262991852044349039273352 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.68 y[1] (analytic) = 4.8214735662578982820543751314638 y[1] (numeric) = 4.8214735662578982820543751314638 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.681 y[1] (analytic) = 4.8229867647429735579084705683475 y[1] (numeric) = 4.8229867647429735579084705683475 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.682 y[1] (analytic) = 4.8245008212412125896884533812792 y[1] (numeric) = 4.8245008212412125896884533812792 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.683 y[1] (analytic) = 4.8260157352385589219933318822607 y[1] (numeric) = 4.8260157352385589219933318822606 absolute error = 1e-31 relative error = 2.0721026512578665318538167676711e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.684 y[1] (analytic) = 4.8275315062200986003862721149578 y[1] (numeric) = 4.8275315062200986003862721149577 absolute error = 1e-31 relative error = 2.0714520427500812885680673581322e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.685 y[1] (analytic) = 4.8290481336700606863085093820397 y[1] (numeric) = 4.8290481336700606863085093820396 absolute error = 1e-31 relative error = 2.0708014754038148126659490548723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.686 y[1] (analytic) = 4.8305656170718177728502438230335 y[1] (numeric) = 4.8305656170718177728502438230334 absolute error = 1e-31 relative error = 2.0701509497477397312674368569072e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.687 y[1] (analytic) = 4.8320839559078865013780042718413 y[1] (numeric) = 4.8320839559078865013780042718412 absolute error = 1e-31 relative error = 2.0695004663099088190494298818120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.688 y[1] (analytic) = 4.8336031496599280790179637666 y[1] (numeric) = 4.8336031496599280790179637665999 absolute error = 1e-31 relative error = 2.0688500256177542838690769580516e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.689 y[1] (analytic) = 4.8351231978087487969946892286101 y[1] (numeric) = 4.83512319780874879699468922861 absolute error = 1e-31 relative error = 2.0681996281980870566740046501090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (analytic) = 4.8366440998343005498248069716278 y[1] (numeric) = 4.8366440998343005498248069716277 absolute error = 1e-31 relative error = 2.0675492745770960856945302265922e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.691 y[1] (analytic) = 4.8381658552156813553650648478981 y[1] (numeric) = 4.8381658552156813553650648478979 absolute error = 2e-31 relative error = 4.1337979305606952698258354811402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.692 y[1] (analytic) = 4.8396884634311358757142709829096 y[1] (numeric) = 4.8396884634311358757142709829094 absolute error = 2e-31 relative error = 4.1324974016655691736094223459945e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.693 y[1] (analytic) = 4.8412119239580559389685881969769 y[1] (numeric) = 4.8412119239580559389685881969767 absolute error = 2e-31 relative error = 4.1311969635174514986943089883816e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.694 y[1] (analytic) = 4.8427362362729810618296623583977 y[1] (numeric) = 4.8427362362729810618296623583975 absolute error = 2e-31 relative error = 4.1298966171637303345793690497444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.695 y[1] (analytic) = 4.8442613998515989730650620601016 y[1] (numeric) = 4.8442613998515989730650620601014 absolute error = 2e-31 relative error = 4.1285963636505428753629172544372e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.696 y[1] (analytic) = 4.8457874141687461378205061593938 y[1] (numeric) = 4.8457874141687461378205061593937 absolute error = 1e-31 relative error = 2.0636481020113870296508555276488e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.697 y[1] (analytic) = 4.8473142786984082827833548686099 y[1] (numeric) = 4.8473142786984082827833548686097 absolute error = 2e-31 relative error = 4.1259961393240552168637279332421e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.698 y[1] (analytic) = 4.8488419929137209221968392332338 y[1] (numeric) = 4.8488419929137209221968392332337 absolute error = 1e-31 relative error = 2.0623480852983813636322503865049e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=484.4MB, alloc=4.5MB, time=23.35 TOP MAIN SOLVE Loop x[1] = 3.699 y[1] (analytic) = 4.8503705562869698847245029832952 y[1] (numeric) = 4.8503705562869698847245029832951 absolute error = 1e-31 relative error = 2.0616981494410083417383735065301e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (analytic) = 4.8518999682895918411643298936456 y[1] (numeric) = 4.8518999682895918411643298936455 absolute error = 1e-31 relative error = 2.0610482626098397828514903938712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.701 y[1] (analytic) = 4.8534302283921748330120289390322 y[1] (numeric) = 4.8534302283921748330120289390321 absolute error = 1e-31 relative error = 2.0603984253241774616503755220100e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.702 y[1] (analytic) = 4.8549613360644588018729486807272 y[1] (numeric) = 4.8549613360644588018729486807271 absolute error = 1e-31 relative error = 2.0597486381026930325750513115905e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.703 y[1] (analytic) = 4.8564932907753361197220914728426 y[1] (numeric) = 4.8564932907753361197220914728425 absolute error = 1e-31 relative error = 2.0590989014634273792264057749508e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.704 y[1] (analytic) = 4.8580260919928521200116972283602 y[1] (numeric) = 4.8580260919928521200116972283601 absolute error = 1e-31 relative error = 2.0584492159237899679764501333374e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.705 y[1] (analytic) = 4.8595597391842056296258656373375 y[1] (numeric) = 4.8595597391842056296258656373374 absolute error = 1e-31 relative error = 2.0577995820005582057839466453878e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.706 y[1] (analytic) = 4.8610942318157495016816848827119 y[1] (numeric) = 4.8610942318157495016816848827118 absolute error = 1e-31 relative error = 2.0571500002098768022101143767587e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.707 y[1] (analytic) = 4.8626295693529911491763340526186 y[1] (numeric) = 4.8626295693529911491763340526184 absolute error = 2e-31 relative error = 4.1130009421345142712581965073558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.708 y[1] (analytic) = 4.8641657512605930794796256021635 y[1] (numeric) = 4.8641657512605930794796256021633 absolute error = 2e-31 relative error = 4.1117019901751532472557289553281e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.709 y[1] (analytic) = 4.8657027770023734296714533721552 y[1] (numeric) = 4.865702777002373429671453372155 absolute error = 2e-31 relative error = 4.1104031455701561951803264691565e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (analytic) = 4.8672406460413065027236108273902 y[1] (numeric) = 4.8672406460413065027236108273901 absolute error = 1e-31 relative error = 2.0545522046733691814591776084990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.711 y[1] (analytic) = 4.86877935783952330452544333272 y[1] (numeric) = 4.8687793578395233045254433327199 absolute error = 1e-31 relative error = 2.0539028912654216746734557095386e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.712 y[1] (analytic) = 4.8703189118583120817527974412905 y[1] (numeric) = 4.8703189118583120817527974412904 absolute error = 1e-31 relative error = 2.0532536330735709392707012445812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.713 y[1] (analytic) = 4.8718593075581188605797293260513 y[1] (numeric) = 4.8718593075581188605797293260511 absolute error = 2e-31 relative error = 4.1052088612190305823079522018477e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.714 y[1] (analytic) = 4.8734005443985479862324336428694 y[1] (numeric) = 4.8734005443985479862324336428693 absolute error = 1e-31 relative error = 2.0519552843843153955148469748630e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.715 y[1] (analytic) = 4.8749426218383626633848532713656 y[1] (numeric) = 4.8749426218383626633848532713654 absolute error = 2e-31 relative error = 4.1026123898167873328159733205996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.716 y[1] (analytic) = 4.8764855393354854973954295379058 y[1] (numeric) = 4.8764855393354854973954295379057 absolute error = 1e-31 relative error = 2.0506571626915336704717193163450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.717 y[1] (analytic) = 4.878029296346999036384451684046 y[1] (numeric) = 4.8780292963469990363844516840459 absolute error = 1e-31 relative error = 2.0500081882428795347889778576037e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.718 y[1] (analytic) = 4.8795738923291463141514635031227 y[1] (numeric) = 4.8795738923291463141514635031226 absolute error = 1e-31 relative error = 2.0493592720709353588831205562132e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.719 y[1] (analytic) = 4.8811193267373313939321842276307 y[1] (numeric) = 4.8811193267373313939321842276306 absolute error = 1e-31 relative error = 2.0487104146835646308430330107001e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (analytic) = 4.8826655990261199129943999105103 y[1] (numeric) = 4.8826655990261199129943999105102 absolute error = 1e-31 relative error = 2.0480616165879896475719208232212e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.721 y[1] (analytic) = 4.8842127086492396280722807044995 y[1] (numeric) = 4.8842127086492396280722807044994 absolute error = 1e-31 relative error = 2.0474128782907909391541776336563e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.722 y[1] (analytic) = 4.8857606550595809616385786052782 y[1] (numeric) = 4.885760655059580961638578605278 absolute error = 2e-31 relative error = 4.0935284005958133946693851724609e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.723 y[1] (analytic) = 4.8873094377091975490141593862528 y[1] (numeric) = 4.8873094377091975490141593862526 absolute error = 2e-31 relative error = 4.0922311662292644162098817035130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.724 y[1] (analytic) = 4.8888590560493067863143216154954 y[1] (numeric) = 4.8888590560493067863143216154952 absolute error = 2e-31 relative error = 4.0909340544912385767803609922124e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.725 y[1] (analytic) = 4.8904095095302903792313548085626 y[1] (numeric) = 4.8904095095302903792313548085624 absolute error = 2e-31 relative error = 4.0896370663897514536641175460579e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.726 y[1] (analytic) = 4.8919607976016948926527879346831 y[1] (numeric) = 4.8919607976016948926527879346829 absolute error = 2e-31 relative error = 4.0883402029315294573218216536800e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=488.3MB, alloc=4.5MB, time=23.53 TOP MAIN SOLVE Loop x[1] = 3.727 y[1] (analytic) = 4.8935129197122323011147786581109 y[1] (numeric) = 4.8935129197122323011147786581107 absolute error = 2e-31 relative error = 4.0870434651220087293040276353704e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.728 y[1] (analytic) = 4.8950658753097805400900928613002 y[1] (numeric) = 4.8950658753097805400900928613 absolute error = 2e-31 relative error = 4.0857468539653340483200792578933e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.729 y[1] (analytic) = 4.8966196638413840581101231619689 y[1] (numeric) = 4.8966196638413840581101231619687 absolute error = 2e-31 relative error = 4.0844503704643577444518591655438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (analytic) = 4.8981742847532543697203943020784 y[1] (numeric) = 4.8981742847532543697203943020782 absolute error = 2e-31 relative error = 4.0831540156206386215007899511529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.731 y[1] (analytic) = 4.8997297374907706092690024532699 y[1] (numeric) = 4.8997297374907706092690024532698 absolute error = 1e-31 relative error = 2.0409288952172204437282277505710e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.732 y[1] (analytic) = 4.9012860214984800855274346503644 y[1] (numeric) = 4.9012860214984800855274346503643 absolute error = 1e-31 relative error = 2.0402808479523665465375862487838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.733 y[1] (analytic) = 4.9028431362200988371432137321527 y[1] (numeric) = 4.9028431362200988371432137321526 absolute error = 1e-31 relative error = 2.0396328665145935392784017235672e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.734 y[1] (analytic) = 4.9044010810985121889238133368774 y[1] (numeric) = 4.9044010810985121889238133368773 absolute error = 1e-31 relative error = 2.0389849514020884641540321660795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.735 y[1] (analytic) = 4.9059598555757753089512866685382 y[1] (numeric) = 4.905959855575775308951286668538 absolute error = 2e-31 relative error = 4.0766742062247779337805419411836e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.736 y[1] (analytic) = 4.9075194590931137665270519194369 y[1] (numeric) = 4.9075194590931137665270519194367 absolute error = 2e-31 relative error = 4.0753786442847655643715981371459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.737 y[1] (analytic) = 4.9090798910909240909462764042257 y[1] (numeric) = 4.9090798910909240909462764042255 absolute error = 2e-31 relative error = 4.0740832179766144463763007584264e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.738 y[1] (analytic) = 4.9106411510087743311013006311182 y[1] (numeric) = 4.910641151008774331101300631118 absolute error = 2e-31 relative error = 4.0727879282914973499784835225112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.739 y[1] (analytic) = 4.9122032382854046159135427068883 y[1] (numeric) = 4.9122032382854046159135427068881 absolute error = 2e-31 relative error = 4.0714927762192841842690002131279e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (analytic) = 4.9137661523587277155933226437975 y[1] (numeric) = 4.9137661523587277155933226437972 absolute error = 3e-31 relative error = 6.1052966441228115004188023689696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.741 y[1] (analytic) = 4.9153298926658296037270453086738 y[1] (numeric) = 4.9153298926658296037270453086736 absolute error = 2e-31 relative error = 4.0689028888665290020176267586719e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.742 y[1] (analytic) = 4.9168944586429700201911799270068 y[1] (numeric) = 4.9168944586429700201911799270066 absolute error = 2e-31 relative error = 4.0676081555592035654978646568370e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.743 y[1] (analytic) = 4.9184598497255830348924732281244 y[1] (numeric) = 4.9184598497255830348924732281242 absolute error = 2e-31 relative error = 4.0663135638112132657455045705627e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.744 y[1] (analytic) = 4.9200260653482776123338324912871 y[1] (numeric) = 4.9200260653482776123338324912869 absolute error = 2e-31 relative error = 4.0650191146058989117720594327250e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.745 y[1] (analytic) = 4.9215931049448381770053139268626 y[1] (numeric) = 4.9215931049448381770053139268624 absolute error = 2e-31 relative error = 4.0637248089252925895037093834723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.746 y[1] (analytic) = 4.92316096794822517959965100164 y[1] (numeric) = 4.9231609679482251795996510016397 absolute error = 3e-31 relative error = 6.0936459716251750689790168989180e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.747 y[1] (analytic) = 4.9247296537905756640517564928017 y[1] (numeric) = 4.9247296537905756640517564928014 absolute error = 3e-31 relative error = 6.0917049480896746222785266606090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.748 y[1] (analytic) = 4.9262991619032038354016312310998 y[1] (numeric) = 4.9262991619032038354016312310995 absolute error = 3e-31 relative error = 6.0897641442485879245658225105171e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.749 y[1] (analytic) = 4.9278694917166016284801116703736 y[1] (numeric) = 4.9278694917166016284801116703733 absolute error = 3e-31 relative error = 6.0878235615670966481529786868328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (analytic) = 4.9294406426604392774168875977093 y[1] (numeric) = 4.929440642660439277416887597709 absolute error = 3e-31 relative error = 6.0858832015084123810314074149749e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.751 y[1] (analytic) = 4.9310126141635658859702204762713 y[1] (numeric) = 4.931012614163565885970220476271 absolute error = 3e-31 relative error = 6.0839430655337752624726076016387e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.752 y[1] (analytic) = 4.9325854056540099986777920911344 y[1] (numeric) = 4.9325854056540099986777920911341 absolute error = 3e-31 relative error = 6.0820031551024526304320761433614e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.753 y[1] (analytic) = 4.9341590165589801728281123473156 y[1] (numeric) = 4.9341590165589801728281123473153 absolute error = 3e-31 relative error = 6.0800634716717376807377379647726e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.754 y[1] (analytic) = 4.9357334463048655512519142486456 y[1] (numeric) = 4.9357334463048655512519142486453 absolute error = 3e-31 relative error = 6.0781240166969481380442005459619e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=492.1MB, alloc=4.5MB, time=23.72 TOP MAIN SOLVE Loop x[1] = 3.755 y[1] (analytic) = 4.9373086943172364359329632661325 y[1] (numeric) = 4.9373086943172364359329632661322 absolute error = 3e-31 relative error = 6.0761847916314249385340886910532e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.756 y[1] (analytic) = 4.9388847600208448624377074850566 y[1] (numeric) = 4.9388847600208448624377074850563 absolute error = 3e-31 relative error = 6.0742457979265309243476656306751e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.757 y[1] (analytic) = 4.9404616428396251751631941011934 y[1] (numeric) = 4.9404616428396251751631941011931 absolute error = 3e-31 relative error = 6.0723070370316495497218972390915e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.758 y[1] (analytic) = 4.9420393421966946034026770182967 y[1] (numeric) = 4.9420393421966946034026770182964 absolute error = 3e-31 relative error = 6.0703685103941835988200671818515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.759 y[1] (analytic) = 4.9436178575143538382283394812823 y[1] (numeric) = 4.943617857514353838228339481282 absolute error = 3e-31 relative error = 6.0684302194595539152330021914602e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (analytic) = 4.9451971882140876101905548624369 y[1] (numeric) = 4.9451971882140876101905548624366 absolute error = 3e-31 relative error = 6.0664921656711981431329183962960e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.761 y[1] (analytic) = 4.946777333716565267833107901441 y[1] (numeric) = 4.9467773337165652678331079014406 absolute error = 4e-31 relative error = 8.0860724672940926400811356017650e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.762 y[1] (analytic) = 4.9483582934416413570237978840309 y[1] (numeric) = 4.9483582934416413570237978840306 absolute error = 3e-31 relative error = 6.0626167752971354413285876376083e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.763 y[1] (analytic) = 4.9499400668083562010998444287473 y[1] (numeric) = 4.949940066808356201099844428747 absolute error = 3e-31 relative error = 6.0606794415883766360159588607203e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.764 y[1] (analytic) = 4.9515226532349364818275157364101 y[1] (numeric) = 4.9515226532349364818275157364098 absolute error = 3e-31 relative error = 6.0587423507797855545443315853807e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.765 y[1] (analytic) = 4.9531060521387958211753983427424 y[1] (numeric) = 4.9531060521387958211753983427422 absolute error = 2e-31 relative error = 4.0378703362032435785380371297318e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.766 y[1] (analytic) = 4.9546902629365353639007266009209 y[1] (numeric) = 4.9546902629365353639007266009207 absolute error = 2e-31 relative error = 4.0365792690634191585584047037544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.767 y[1] (analytic) = 4.9562752850439443609481893077713 y[1] (numeric) = 4.9562752850439443609481893077711 absolute error = 2e-31 relative error = 4.0352883667200644266640698079210e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.768 y[1] (analytic) = 4.9578611178760007536606300748528 y[1] (numeric) = 4.9578611178760007536606300748525 absolute error = 3e-31 relative error = 6.0509964451872971966548400986960e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.769 y[1] (analytic) = 4.9594477608468717588010572337771 y[1] (numeric) = 4.9594477608468717588010572337768 absolute error = 3e-31 relative error = 6.0490605903422645223634102517082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.77 y[1] (analytic) = 4.9610352133699144543853782538038 y[1] (numeric) = 4.9610352133699144543853782538035 absolute error = 3e-31 relative error = 6.0471249869685375804740021380149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.771 y[1] (analytic) = 4.9626234748576763663252728390239 y[1] (numeric) = 4.9626234748576763663252728390237 absolute error = 2e-31 relative error = 4.0301264243251060341382204952691e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.772 y[1] (analytic) = 4.9642125447218960558806180623093 y[1] (numeric) = 4.9642125447218960558806180623091 absolute error = 2e-31 relative error = 4.0288363602127828074264595915447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.773 y[1] (analytic) = 4.9658024223735037079208780836503 y[1] (numeric) = 4.9658024223735037079208780836501 absolute error = 2e-31 relative error = 4.0275464665870865493943512888939e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.774 y[1] (analytic) = 4.9673931072226217199948701915423 y[1] (numeric) = 4.967393107222621719994870191542 absolute error = 3e-31 relative error = 6.0393851165875730433979230561636e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.775 y[1] (analytic) = 4.9689845986785652922083180977028 y[1] (numeric) = 4.9689845986785652922083180977026 absolute error = 2e-31 relative error = 4.0249671945690335503608597471150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.776 y[1] (analytic) = 4.9705768961498430179086026076167 y[1] (numeric) = 4.9705768961498430179086026076164 absolute error = 3e-31 relative error = 6.0355167270901063551265833985699e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.777 y[1] (analytic) = 4.9721699990441574751761189822057 y[1] (numeric) = 4.9721699990441574751761189822054 absolute error = 3e-31 relative error = 6.0335829237067829811792728971014e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.778 y[1] (analytic) = 4.973763906768405819121649499317 y[1] (numeric) = 4.9737639067684058191216494993167 absolute error = 3e-31 relative error = 6.0316493831111181647462599426208e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.779 y[1] (analytic) = 4.975358618728680374989158917705 y[1] (numeric) = 4.9753586187286803749891589177047 absolute error = 3e-31 relative error = 6.0297161067086449377799148707566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (analytic) = 4.9769541343302692320634197407623 y[1] (numeric) = 4.976954134330269232063419740762 absolute error = 3e-31 relative error = 6.0277830959028903732853427193190e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.781 y[1] (analytic) = 4.9785504529776568383818733724229 y[1] (numeric) = 4.9785504529776568383818733724226 absolute error = 3e-31 relative error = 6.0258503520953745667109566997742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.782 y[1] (analytic) = 4.9801475740745245962501324534264 y[1] (numeric) = 4.9801475740745245962501324534261 absolute error = 3e-31 relative error = 6.0239178766856096285623944375274e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.5MB, time=23.90 x[1] = 3.783 y[1] (analytic) = 4.9817454970237514585605288624905 y[1] (numeric) = 4.9817454970237514585605288624902 absolute error = 3e-31 relative error = 6.0219856710710986882197720198699e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.784 y[1] (analytic) = 4.9833442212274145259131110638935 y[1] (numeric) = 4.9833442212274145259131110638933 absolute error = 2e-31 relative error = 4.0133691577648899392921538484537e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.785 y[1] (analytic) = 4.9849437460867896445384936805195 y[1] (numeric) = 4.9849437460867896445384936805193 absolute error = 2e-31 relative error = 4.0120813832052003426744612681783e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.786 y[1] (analytic) = 4.9865440710023520050219613695657 y[1] (numeric) = 4.9865440710023520050219613695654 absolute error = 3e-31 relative error = 6.0161906869439658240796946865304e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.787 y[1] (analytic) = 4.9881451953737767418282282768584 y[1] (numeric) = 4.9881451953737767418282282768581 absolute error = 3e-31 relative error = 6.0142595744452883055571547793371e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.788 y[1] (analytic) = 4.989747118599939533626253545069 y[1] (numeric) = 4.9897471185999395336262535450687 absolute error = 3e-31 relative error = 6.0123287386992116301668404030729e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.789 y[1] (analytic) = 4.9913498400789172044135125510626 y[1] (numeric) = 4.9913498400789172044135125510623 absolute error = 3e-31 relative error = 6.0103981810911647455543257461618e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (analytic) = 4.9929533592079883254391227481598 y[1] (numeric) = 4.9929533592079883254391227481595 absolute error = 3e-31 relative error = 6.0084679030045609569651427543814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.791 y[1] (analytic) = 4.9945576753836338179252221902352 y[1] (numeric) = 4.9945576753836338179252221902348 absolute error = 4e-31 relative error = 8.0087172077610626932850862752445e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.792 y[1] (analytic) = 4.9961627880015375565859980163243 y[1] (numeric) = 4.9961627880015375565859980163239 absolute error = 4e-31 relative error = 8.0061442545590029922325566598447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.793 y[1] (analytic) = 4.9977686964565869739437613767611 y[1] (numeric) = 4.9977686964565869739437613767608 absolute error = 3e-31 relative error = 6.0026787596772876080222773926701e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.794 y[1] (analytic) = 4.9993754001428736654414644848215 y[1] (numeric) = 4.9993754001428736654414644848212 absolute error = 3e-31 relative error = 6.0007496134702448844563772723002e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.795 y[1] (analytic) = 5.0009828984536939953510546814052 y[1] (numeric) = 5.0009828984536939953510546814049 absolute error = 3e-31 relative error = 5.9988207536714457776320067590108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.796 y[1] (analytic) = 5.0025911907815497034770596044544 y[1] (numeric) = 5.002591190781549703477059604454 absolute error = 4e-31 relative error = 7.9958562422029214273775408532875e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.797 y[1] (analytic) = 5.0042002765181485126547967595721 y[1] (numeric) = 5.0042002765181485126547967595717 absolute error = 4e-31 relative error = 7.9932851983756797113521520245291e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.798 y[1] (analytic) = 5.005810155054404737042599993684 y[1] (numeric) = 5.0058101550544047370425999936835 absolute error = 5e-31 relative error = 9.9883931773790139062328453230849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.799 y[1] (analytic) = 5.007420825780439891207454579565 y[1] (numeric) = 5.0074208257804398912074545795645 absolute error = 5e-31 relative error = 9.9851803432572829425059301113170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (analytic) = 5.0090322880855833000034318256493 y[1] (numeric) = 5.0090322880855833000034318256488 absolute error = 5e-31 relative error = 9.9819679978764214023395583451251e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.801 y[1] (analytic) = 5.0106445413583727092423133327373 y[1] (numeric) = 5.0106445413583727092423133327368 absolute error = 5e-31 relative error = 9.9787561435050689072585143179025e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.802 y[1] (analytic) = 5.012257584986554897155794227028 y[1] (numeric) = 5.0122575849865548971557942270276 absolute error = 4e-31 relative error = 7.9804358259267909872236085297751e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.803 y[1] (analytic) = 5.0138714183570862866486539073241 y[1] (numeric) = 5.0138714183570862866486539073237 absolute error = 4e-31 relative error = 7.9778671334788532165604282269840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.804 y[1] (analytic) = 5.0154860408561335583422820532889 y[1] (numeric) = 5.0154860408561335583422820532885 absolute error = 4e-31 relative error = 7.9752988392670471924781254326157e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.805 y[1] (analytic) = 5.0171014518690742644079468512823 y[1] (numeric) = 5.0171014518690742644079468512818 absolute error = 5e-31 relative error = 9.9659136813693426942446025653169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.806 y[1] (analytic) = 5.0187176507804974431891916045565 y[1] (numeric) = 5.0187176507804974431891916045561 absolute error = 4e-31 relative error = 7.9701634527655302153362949948349e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.807 y[1] (analytic) = 5.0203346369742042346127451054682 y[1] (numeric) = 5.0203346369742042346127451054678 absolute error = 4e-31 relative error = 7.9675963640759053740560536237484e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.808 y[1] (analytic) = 5.021952409833208496387330358846 y[1] (numeric) = 5.0219524098332084963873303588455 absolute error = 5e-31 relative error = 9.9562871010282282017841594545528e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.809 y[1] (analytic) = 5.0235709687397374209897554577573 y[1] (numeric) = 5.0235709687397374209897554577568 absolute error = 5e-31 relative error = 9.9530792559985458575611789084733e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.81 y[1] (analytic) = 5.025190313075232153437669625635 y[1] (numeric) = 5.0251903130752321534376696256345 absolute error = 5e-31 relative error = 9.9498719222440421250689805268244e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.5MB, time=24.08 x[1] = 3.811 y[1] (analytic) = 5.0268104422203484098483666520585 y[1] (numeric) = 5.0268104422203484098483666520579 absolute error = 6e-31 relative error = 1.1935998122399444517143420140148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.812 y[1] (analytic) = 5.0284313555549570967830171634376 y[1] (numeric) = 5.0284313555549570967830171634371 absolute error = 5e-31 relative error = 9.9434587974964623880720774521676e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.813 y[1] (analytic) = 5.0300530524581449313757103844201 y[1] (numeric) = 5.0300530524581449313757103844196 absolute error = 5e-31 relative error = 9.9402530109628600128798844278779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.814 y[1] (analytic) = 5.0316755323082150622466852610297 y[1] (numeric) = 5.0316755323082150622466852610292 absolute error = 5e-31 relative error = 9.9370477446233812937448807561846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.815 y[1] (analytic) = 5.0332987944826876911991300323584 y[1] (numeric) = 5.0332987944826876911991300323579 absolute error = 5e-31 relative error = 9.9338430006992857768455031014502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.816 y[1] (analytic) = 5.0349228383583006956989285540635 y[1] (numeric) = 5.034922838358300695698928554063 absolute error = 5e-31 relative error = 9.9306387814084401696021772884117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.817 y[1] (analytic) = 5.0365476633110102521367308939749 y[1] (numeric) = 5.0365476633110102521367308939744 absolute error = 5e-31 relative error = 9.9274350889653172949452274793745e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.818 y[1] (analytic) = 5.0381732687159914598717249377952 y[1] (numeric) = 5.0381732687159914598717249377947 absolute error = 5e-31 relative error = 9.9242319255809950630498409972793e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.819 y[1] (analytic) = 5.0397996539476389660564849611715 y[1] (numeric) = 5.039799653947638966056484961171 absolute error = 5e-31 relative error = 9.9210292934631554605026827731895e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (analytic) = 5.0414268183795675912422723433438 y[1] (numeric) = 5.0414268183795675912422723433433 absolute error = 5e-31 relative error = 9.9178271948160835568647058839245e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.821 y[1] (analytic) = 5.04305476138461295576416281712 y[1] (numeric) = 5.0430547613846129557641628171195 absolute error = 5e-31 relative error = 9.9146256318406665285946576505458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.822 y[1] (analytic) = 5.0446834823348321069053738701039 y[1] (numeric) = 5.0446834823348321069053738701034 absolute error = 5e-31 relative error = 9.9114246067343927002977342900591e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.823 y[1] (analytic) = 5.0463129806015041468401651329 y[1] (numeric) = 5.0463129806015041468401651328995 absolute error = 5e-31 relative error = 9.9082241216913506032637911499087e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.824 y[1] (analytic) = 5.0479432555551308613546838114475 y[1] (numeric) = 5.047943255555130861354683811447 absolute error = 5e-31 relative error = 9.9050241789022280512594701064708e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.825 y[1] (analytic) = 5.0495743065654373493451264426902 y[1] (numeric) = 5.0495743065654373493451264426896 absolute error = 6e-31 relative error = 1.1882189736665173480246272928401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.826 y[1] (analytic) = 5.0512061330013726530925874754732 y[1] (numeric) = 5.0512061330013726530925874754727 absolute error = 5e-31 relative error = 9.8986259288314838250348677448894e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.827 y[1] (analytic) = 5.0528387342311103893139644018709 y[1] (numeric) = 5.0528387342311103893139644018704 absolute error = 5e-31 relative error = 9.8954276259142261137018121794665e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.828 y[1] (analytic) = 5.054472109622049380988288388092 y[1] (numeric) = 5.0544721096220493809882883880915 absolute error = 5e-31 relative error = 9.8922298739796141449629526428742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.829 y[1] (analytic) = 5.0561062585408142899578485786858 y[1] (numeric) = 5.0561062585408142899578485786853 absolute error = 5e-31 relative error = 9.8890326752013188832375672164484e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (analytic) = 5.0577411803532562503034774729765 y[1] (numeric) = 5.057741180353256250303477472976 absolute error = 5e-31 relative error = 9.8858360317496053905053965065873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.831 y[1] (analytic) = 5.0593768744244535024933639984935 y[1] (numeric) = 5.059376874424453502493363998493 absolute error = 5e-31 relative error = 9.8826399457913320218746053039621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.832 y[1] (analytic) = 5.0610133401187120283047601326378 y[1] (numeric) = 5.0610133401187120283047601326373 absolute error = 5e-31 relative error = 9.8794444194899496381169792690508e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.833 y[1] (analytic) = 5.0626505767995661865179461509302 y[1] (numeric) = 5.0626505767995661865179461509297 absolute error = 5e-31 relative error = 9.8762494550055008351343321501605e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.834 y[1] (analytic) = 5.0642885838297793493818188079294 y[1] (numeric) = 5.0642885838297793493818188079288 absolute error = 6e-31 relative error = 1.1847666065393543028384070407401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.835 y[1] (analytic) = 5.0659273605713445398504659852845 y[1] (numeric) = 5.0659273605713445398504659852839 absolute error = 6e-31 relative error = 1.1843833464132634230935674048799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.836 y[1] (analytic) = 5.067566906385485069590090570401 y[1] (numeric) = 5.0675669063854850695900905704005 absolute error = 5e-31 relative error = 9.8666679540030421883745762891896e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.837 y[1] (analytic) = 5.0692072206326551777556455588492 y[1] (numeric) = 5.0692072206326551777556455588487 absolute error = 5e-31 relative error = 9.8634752583185623465517075355403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.838 y[1] (analytic) = 5.0708483026725406705365416039323 y[1] (numeric) = 5.0708483026725406705365416039318 absolute error = 5e-31 relative error = 9.8602831352000793039247944657403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.5MB, time=24.27 x[1] = 3.839 y[1] (analytic) = 5.072490151864059561470787467762 y[1] (numeric) = 5.0724901518640595614707874677615 absolute error = 5e-31 relative error = 9.8570915867871708295690071976502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.84 y[1] (analytic) = 5.0741327675653627125269230597523 y[1] (numeric) = 5.0741327675653627125269230597518 absolute error = 5e-31 relative error = 9.8539006152160015049938809495632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.841 y[1] (analytic) = 5.0757761491338344759531039806532 y[1] (numeric) = 5.0757761491338344759531039806527 absolute error = 5e-31 relative error = 9.8507102226193220877577867309706e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.842 y[1] (analytic) = 5.0774202959260933368926957230932 y[1] (numeric) = 5.0774202959260933368926957230926 absolute error = 6e-31 relative error = 1.1817024493351762670025162662358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.843 y[1] (analytic) = 5.0790652072979925567657349130889 y[1] (numeric) = 5.0790652072979925567657349130883 absolute error = 6e-31 relative error = 1.1813197419436035820400892503859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.844 y[1] (analytic) = 5.0807108826046208174156142111156 y[1] (numeric) = 5.0807108826046208174156142111151 absolute error = 5e-31 relative error = 9.8411425399525105969590849882268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.845 y[1] (analytic) = 5.0823573212003028660203467261068 y[1] (numeric) = 5.0823573212003028660203467261062 absolute error = 6e-31 relative error = 1.1805545381415600673223343370985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.846 y[1] (analytic) = 5.0840045224386001607677650311711 y[1] (numeric) = 5.0840045224386001607677650311705 absolute error = 6e-31 relative error = 1.1801720422392606897331628058698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.847 y[1] (analytic) = 5.0856524856723115172940091058837 y[1] (numeric) = 5.0856524856723115172940091058831 absolute error = 6e-31 relative error = 1.1797896173408737841193328705329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.848 y[1] (analytic) = 5.0873012102534737558846567667156 y[1] (numeric) = 5.087301210253473755884656766715 absolute error = 6e-31 relative error = 1.1794072636994598578432614769070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.849 y[1] (analytic) = 5.0889506955333623494378493845264 y[1] (numeric) = 5.0889506955333623494378493845258 absolute error = 6e-31 relative error = 1.1790249815676692198302288483728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (analytic) = 5.0906009408624920721887649260472 y[1] (numeric) = 5.0906009408624920721887649260466 absolute error = 6e-31 relative error = 1.1786427711977419219781449284946e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.851 y[1] (analytic) = 5.0922519455906176491947895949357 y[1] (numeric) = 5.0922519455906176491947895949351 absolute error = 6e-31 relative error = 1.1782606328415077025204776311833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.852 y[1] (analytic) = 5.0939037090667344065807385872856 y[1] (numeric) = 5.0939037090667344065807385872849 absolute error = 7e-31 relative error = 1.3741916612087835865609277580826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.853 y[1] (analytic) = 5.0955562306390789225434757164235 y[1] (numeric) = 5.0955562306390789225434757164228 absolute error = 7e-31 relative error = 1.3737460020379498167502666603641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.854 y[1] (analytic) = 5.0972095096551296791152809024288 y[1] (numeric) = 5.0972095096551296791152809024281 absolute error = 7e-31 relative error = 1.3733004277616225665390145545312e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.855 y[1] (analytic) = 5.098863545461607714685313763062 y[1] (numeric) = 5.0988635454616077146853137630614 absolute error = 6e-31 relative error = 1.1767328045757323869086903063183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.856 y[1] (analytic) = 5.100518337404477277278520784694 y[1] (numeric) = 5.1005183374044772772785207846933 absolute error = 7e-31 relative error = 1.3724095350595524244554895366297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.857 y[1] (analytic) = 5.1021738848289464785913327943813 y[1] (numeric) = 5.1021738848289464785913327943806 absolute error = 7e-31 relative error = 1.3719642172161443906966152132488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.858 y[1] (analytic) = 5.1038301870794679487834986974471 y[1] (numeric) = 5.1038301870794679487834986974464 absolute error = 7e-31 relative error = 1.3715189854319124899815364256937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.859 y[1] (analytic) = 5.1054872434997394920254006887862 y[1] (numeric) = 5.1054872434997394920254006887855 absolute error = 7e-31 relative error = 1.3710738399968263823689805823593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.86 y[1] (analytic) = 5.1071450534327047428001953906352 y[1] (numeric) = 5.1071450534327047428001953906345 absolute error = 7e-31 relative error = 1.3706287812003765356449032480324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.861 y[1] (analytic) = 5.1088036162205538229601246147204 y[1] (numeric) = 5.1088036162205538229601246147198 absolute error = 6e-31 relative error = 1.1744432651413492986423896538544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.862 y[1] (analytic) = 5.1104629312047239995363386925284 y[1] (numeric) = 5.1104629312047239995363386925278 absolute error = 6e-31 relative error = 1.1740619354391010932221812372304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.863 y[1] (analytic) = 5.1121229977259003433015745639292 y[1] (numeric) = 5.1121229977259003433015745639286 absolute error = 6e-31 relative error = 1.1736806807404803900738500856876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.864 y[1] (analytic) = 5.113783815124016388085030061531 y[1] (numeric) = 5.1137838151240163880850300615303 absolute error = 7e-31 relative error = 1.3688494181739750058882316506204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.865 y[1] (analytic) = 5.1154453827382547908387750759446 y[1] (numeric) = 5.115445382738254790838775075944 absolute error = 6e-31 relative error = 1.1729183973396761357310580543195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.866 y[1] (analytic) = 5.1171076999070479924550395356044 y[1] (numeric) = 5.1171076999070479924550395356037 absolute error = 7e-31 relative error = 1.3679602639841163891819313662739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.5MB, time=24.45 x[1] = 3.867 y[1] (analytic) = 5.1187707659680788793337173839093 y[1] (numeric) = 5.1187707659680788793337173839086 absolute error = 7e-31 relative error = 1.3675158197235927242721240445745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.868 y[1] (analytic) = 5.1204345802582814456994249862386 y[1] (numeric) = 5.1204345802582814456994249862379 absolute error = 7e-31 relative error = 1.3670714644003733772535067844589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.869 y[1] (analytic) = 5.1220991421138414566674516498367 y[1] (numeric) = 5.122099142113841456667451649836 absolute error = 7e-31 relative error = 1.3666271982996343902130997288950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (analytic) = 5.1237644508701971120579391906727 y[1] (numeric) = 5.123764450870197112057939190672 absolute error = 7e-31 relative error = 1.3661830217060722765990515144489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.871 y[1] (analytic) = 5.1254305058620397109576267331506 y[1] (numeric) = 5.1254305058620397109576267331499 absolute error = 7e-31 relative error = 1.3657389349039039996332681919213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.872 y[1] (analytic) = 5.1270973064233143170284961809799 y[1] (numeric) = 5.1270973064233143170284961809792 absolute error = 7e-31 relative error = 1.3652949381768669528939883648439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.873 y[1] (analytic) = 5.128764851887220424562653050618 y[1] (numeric) = 5.1287648518872204245626530506173 absolute error = 7e-31 relative error = 1.3648510318082189430630881747097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.874 y[1] (analytic) = 5.1304331415862126252827766124574 y[1] (numeric) = 5.1304331415862126252827766124567 absolute error = 7e-31 relative error = 1.3644072160807381748328967867974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.875 y[1] (analytic) = 5.1321021748520012758874725393644 y[1] (numeric) = 5.1321021748520012758874725393636 absolute error = 8e-31 relative error = 1.5588154186019694148197715642587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.876 y[1] (analytic) = 5.1337719510155531663408605172714 y[1] (numeric) = 5.1337719510155531663408605172707 absolute error = 7e-31 relative error = 1.3635198576779930965119077052718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.877 y[1] (analytic) = 5.1354424694070921889057285282922 y[1] (numeric) = 5.1354424694070921889057285282915 absolute error = 7e-31 relative error = 1.3630763155658870801480548072973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.878 y[1] (analytic) = 5.1371137293561000079195847732595 y[1] (numeric) = 5.1371137293561000079195847732588 absolute error = 7e-31 relative error = 1.3626328652212648776854091497391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.879 y[1] (analytic) = 5.138785730191316730312937457691 y[1] (numeric) = 5.1387857301913167303129374576903 absolute error = 7e-31 relative error = 1.3621895069245065326879490132219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (analytic) = 5.1404584712407415768691319229587 y[1] (numeric) = 5.140458471240741576869131922958 absolute error = 7e-31 relative error = 1.3617462409555124412280768059195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.881 y[1] (analytic) = 5.1421319518316335542250738628802 y[1] (numeric) = 5.1421319518316335542250738628795 absolute error = 7e-31 relative error = 1.3613030675937033517636297065099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.882 y[1] (analytic) = 5.1438061712905121276121666250656 y[1] (numeric) = 5.1438061712905121276121666250649 absolute error = 7e-31 relative error = 1.3608599871180203671325464953283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.883 y[1] (analytic) = 5.1454811289431578943367898561382 y[1] (numeric) = 5.1454811289431578943367898561375 absolute error = 7e-31 relative error = 1.3604169998069249486599472789190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.884 y[1] (analytic) = 5.1471568241146132579996460104062 y[1] (numeric) = 5.1471568241146132579996460104055 absolute error = 7e-31 relative error = 1.3599741059383989223723804629281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.885 y[1] (analytic) = 5.1488332561291831034533005026962 y[1] (numeric) = 5.1488332561291831034533005026955 absolute error = 7e-31 relative error = 1.3595313057899444873139890394977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.886 y[1] (analytic) = 5.150510424310435472497240547863 y[1] (numeric) = 5.1505104243104354724972405478623 absolute error = 7e-31 relative error = 1.3590885996385842259593460278227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.887 y[1] (analytic) = 5.1521883279812022403097769919746 y[1] (numeric) = 5.1521883279812022403097769919739 absolute error = 7e-31 relative error = 1.3586459877608611167177067401288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.888 y[1] (analytic) = 5.1538669664635797926161127033261 y[1] (numeric) = 5.1538669664635797926161127033255 absolute error = 6e-31 relative error = 1.1641744032281473273057915198710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.889 y[1] (analytic) = 5.1555463390789297035919003552711 y[1] (numeric) = 5.1555463390789297035919003552705 absolute error = 6e-31 relative error = 1.1637951839400860035776564977367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (analytic) = 5.1572264451478794145016116973683 y[1] (numeric) = 5.1572264451478794145016116973677 absolute error = 6e-31 relative error = 1.1634160461666434963514767123532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.891 y[1] (analytic) = 5.1589072839903229130710396765322 y[1] (numeric) = 5.1589072839903229130710396765316 absolute error = 6e-31 relative error = 1.1630369901432124303428772839278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.892 y[1] (analytic) = 5.1605888549254214135932540357406 y[1] (numeric) = 5.16058885492542141359325403574 absolute error = 6e-31 relative error = 1.1626580161047744213902438000093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.893 y[1] (analytic) = 5.1622711572716040377673302844017 y[1] (numeric) = 5.1622711572716040377673302844011 absolute error = 6e-31 relative error = 1.1622791242859000978338714609015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.894 y[1] (analytic) = 5.163954190346568496269171201707 y[1] (numeric) = 5.1639541903465684962691712017064 absolute error = 6e-31 relative error = 1.1619003149207491236561956241890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.895 y[1] (analytic) = 5.1656379534672817710537393022064 y[1] (numeric) = 5.1656379534672817710537393022058 absolute error = 6e-31 relative error = 1.1615215882430702233785887641926e-29 % Correct digits = 30 h = 0.001 memory used=511.1MB, alloc=4.5MB, time=24.64 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.896 y[1] (analytic) = 5.1673224459499807983880179614294 y[1] (numeric) = 5.1673224459499807983880179614288 absolute error = 6e-31 relative error = 1.1611429444862012087102074694534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.897 y[1] (analytic) = 5.1690076671101731526140181686483 y[1] (numeric) = 5.1690076671101731526140181686477 absolute error = 6e-31 relative error = 1.1607643838830690069443717594020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.898 y[1] (analytic) = 5.1706936162626377306411471438337 y[1] (numeric) = 5.1706936162626377306411471438331 absolute error = 6e-31 relative error = 1.1603859066661896910979577100468e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.899 y[1] (analytic) = 5.1723802927214254371672543264904 y[1] (numeric) = 5.1723802927214254371672543264898 absolute error = 6e-31 relative error = 1.1600075130676685117892831376501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.9 y[1] (analytic) = 5.1740676957998598706276695153856 y[1] (numeric) = 5.174067695799859870627669515385 absolute error = 6e-31 relative error = 1.1596292033191999308499648987936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.901 y[1] (analytic) = 5.1757558248105380098715472101874 y[1] (numeric) = 5.1757558248105380098715472101867 absolute error = 7e-31 relative error = 1.3524594739274122661105960955997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.902 y[1] (analytic) = 5.1774446790653309015648304787267 y[1] (numeric) = 5.177444679065330901564830478726 absolute error = 7e-31 relative error = 1.3520183090133354614526439876927e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.903 y[1] (analytic) = 5.1791342578753843483191469469773 y[1] (numeric) = 5.1791342578753843483191469469766 absolute error = 7e-31 relative error = 1.3515772427323755388347195630198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.904 y[1] (analytic) = 5.1808245605511195975459487829134 y[1] (numeric) = 5.1808245605511195975459487829126 absolute error = 8e-31 relative error = 1.5441557432604869963452333139589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.905 y[1] (analytic) = 5.182515586402234031035207820163 y[1] (numeric) = 5.1825155864022340310352078201622 absolute error = 8e-31 relative error = 1.5436518938776020646222286696774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.906 y[1] (analytic) = 5.1842073347377018552579762428204 y[1] (numeric) = 5.1842073347377018552579762428197 absolute error = 7e-31 relative error = 1.3502546383697382131368197948402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.907 y[1] (analytic) = 5.1858998048657747923921225289129 y[1] (numeric) = 5.1858998048657747923921225289121 absolute error = 8e-31 relative error = 1.5426445363433051871614087270916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.908 y[1] (analytic) = 5.1875929960939827720705516268439 y[1] (numeric) = 5.1875929960939827720705516268432 absolute error = 7e-31 relative error = 1.3493734002013411129393104985764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.909 y[1] (analytic) = 5.1892869077291346238512176166517 y[1] (numeric) = 5.189286907729134623851217616651 absolute error = 7e-31 relative error = 1.3489329313385844546652122242076e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (analytic) = 5.1909815390773187704082363861256 y[1] (numeric) = 5.1909815390773187704082363861249 absolute error = 7e-31 relative error = 1.3484925629776423316087461483058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.911 y[1] (analytic) = 5.1926768894439039214434051307275 y[1] (numeric) = 5.1926768894439039214434051307268 absolute error = 7e-31 relative error = 1.3480522953835563212083492772526e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.912 y[1] (analytic) = 5.1943729581335397683174347658559 y[1] (numeric) = 5.1943729581335397683174347658552 absolute error = 7e-31 relative error = 1.3476121288208893737536459311935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.913 y[1] (analytic) = 5.1960697444501576794002006202776 y[1] (numeric) = 5.1960697444501576794002006202769 absolute error = 7e-31 relative error = 1.3471720635537258774172980330506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.914 y[1] (analytic) = 5.1977672476969713961393160605351 y[1] (numeric) = 5.1977672476969713961393160605344 absolute error = 7e-31 relative error = 1.3467320998456717252358586387387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.915 y[1] (analytic) = 5.1994654671764777298463329778138 y[1] (numeric) = 5.1994654671764777298463329778131 absolute error = 7e-31 relative error = 1.3462922379598543840343397719454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.916 y[1] (analytic) = 5.201164402190457259199872351126 y[1] (numeric) = 5.2011644021904572591998723511253 absolute error = 7e-31 relative error = 1.3458524781589229652892051510585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.917 y[1] (analytic) = 5.2028640520399750284649873837404 y[1] (numeric) = 5.2028640520399750284649873837397 absolute error = 7e-31 relative error = 1.3454128207050482979244979755236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.918 y[1] (analytic) = 5.2045644160253812464280609935509 y[1] (numeric) = 5.2045644160253812464280609935502 absolute error = 7e-31 relative error = 1.3449732658599230030358135738819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.919 y[1] (analytic) = 5.2062654934463119860465387225465 y[1] (numeric) = 5.2062654934463119860465387225459 absolute error = 6e-31 relative error = 1.1524575547583670604601369192490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.92 y[1] (analytic) = 5.2079672836016898848127974157074 y[1] (numeric) = 5.2079672836016898848127974157068 absolute error = 6e-31 relative error = 1.1520809700345432323340691330941e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.921 y[1] (analytic) = 5.2096697857897248458314493055159 y[1] (numeric) = 5.2096697857897248458314493055153 absolute error = 6e-31 relative error = 1.1517044739315412026409315303894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.922 y[1] (analytic) = 5.2113729993079147396093804248387 y[1] (numeric) = 5.2113729993079147396093804248381 absolute error = 6e-31 relative error = 1.1513280666720300360035139535147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.923 y[1] (analytic) = 5.2130769234530461065578215581983 y[1] (numeric) = 5.2130769234530461065578215581977 absolute error = 6e-31 relative error = 1.1509517484782692494936743125342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=515.0MB, alloc=4.5MB, time=24.82 TOP MAIN SOLVE Loop x[1] = 3.924 y[1] (analytic) = 5.2147815575211948602057492294226 y[1] (numeric) = 5.214781557521194860205749229422 absolute error = 6e-31 relative error = 1.1505755195721088865008535624939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.925 y[1] (analytic) = 5.2164869008077269911239135123299 y[1] (numeric) = 5.2164869008077269911239135123293 absolute error = 6e-31 relative error = 1.1501993801749895922212831317839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.926 y[1] (analytic) = 5.21819295260729927155878874048 y[1] (numeric) = 5.2181929526072992715587887404794 absolute error = 6e-31 relative error = 1.1498233305079426907633495292722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.927 y[1] (analytic) = 5.2198997122138599607757424820995 y[1] (numeric) = 5.2198997122138599607757424820989 absolute error = 6e-31 relative error = 1.1494473707915902638645809640745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.928 y[1] (analytic) = 5.2216071789206495111107174370709 y[1] (numeric) = 5.2216071789206495111107174370703 absolute error = 6e-31 relative error = 1.1490715012461452312157209637222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.929 y[1] (analytic) = 5.2233153520202012747297202043632 y[1] (numeric) = 5.2233153520202012747297202043626 absolute error = 6e-31 relative error = 1.1486957220914114323873541739649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (analytic) = 5.225024230804342211095410160473 y[1] (numeric) = 5.2250242308043422110954101604725 absolute error = 5e-31 relative error = 9.5693336128898642529545813860586e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.931 y[1] (analytic) = 5.2267338145641935951400809823476 y[1] (numeric) = 5.2267338145641935951400809823471 absolute error = 5e-31 relative error = 9.5662036319270666384582347306325e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.932 y[1] (analytic) = 5.2284441025901717261443266418654 y[1] (numeric) = 5.2284441025901717261443266418649 absolute error = 5e-31 relative error = 9.5630744096948449824669763272406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.933 y[1] (analytic) = 5.2301550941719886373206829932694 y[1] (numeric) = 5.2301550941719886373206829932689 absolute error = 5e-31 relative error = 9.5599459480112690370520314240561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.934 y[1] (analytic) = 5.2318667885986528061015353699693 y[1] (numeric) = 5.2318667885986528061015353699688 absolute error = 5e-31 relative error = 9.5568182486910031658892401545556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.935 y[1] (analytic) = 5.2335791851584698651305819028645 y[1] (numeric) = 5.233579185158469865130581902864 absolute error = 5e-31 relative error = 9.5536913135453071063150950147277e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.936 y[1] (analytic) = 5.2352922831390433139571415687841 y[1] (numeric) = 5.2352922831390433139571415687836 absolute error = 5e-31 relative error = 9.5505651443820367444729265688435e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.937 y[1] (analytic) = 5.2370060818272752314325952747949 y[1] (numeric) = 5.2370060818272752314325952747943 absolute error = 6e-31 relative error = 1.1456927691606773884213768700934e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.938 y[1] (analytic) = 5.2387205805093669888082475819954 y[1] (numeric) = 5.2387205805093669888082475819948 absolute error = 6e-31 relative error = 1.1453178133460618573757697756030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.939 y[1] (analytic) = 5.2404357784708199635338959709946 y[1] (numeric) = 5.240435778470819963533895970994 absolute error = 6e-31 relative error = 1.1449429500977157098530522655757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (analytic) = 5.2421516749964362537563938505644 y[1] (numeric) = 5.2421516749964362537563938505638 absolute error = 6e-31 relative error = 1.1445681796309487650508912301062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.941 y[1] (analytic) = 5.243868269370319393517492810963 y[1] (numeric) = 5.2438682693703193935174928109624 absolute error = 6e-31 relative error = 1.1441935021606628685151677341525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.942 y[1] (analytic) = 5.2455855608758750686502489241466 y[1] (numeric) = 5.2455855608758750686502489241459 absolute error = 7e-31 relative error = 1.3344554042182439935684987405635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.943 y[1] (analytic) = 5.2473035487958118333732771945221 y[1] (numeric) = 5.2473035487958118333732771945215 absolute error = 6e-31 relative error = 1.1434444270671023497905848112729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.944 y[1] (analytic) = 5.2490222324121418275821375660477 y[1] (numeric) = 5.2490222324121418275821375660471 absolute error = 6e-31 relative error = 1.1430700298715924792513535109733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.945 y[1] (analytic) = 5.2507416110061814948371351943524 y[1] (numeric) = 5.2507416110061814948371351943518 absolute error = 6e-31 relative error = 1.1426957265280933726498792173898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.946 y[1] (analytic) = 5.252461683858552301046816996137 y[1] (numeric) = 5.2524616838585523010468169961364 absolute error = 6e-31 relative error = 1.1423215172494685731970483949924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.947 y[1] (analytic) = 5.2541824502491814538464457924178 y[1] (numeric) = 5.2541824502491814538464457924173 absolute error = 5e-31 relative error = 9.5162283520681190627662537848620e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.948 y[1] (analytic) = 5.2559039094573026226707326672002 y[1] (numeric) = 5.2559039094573026226707326671996 absolute error = 6e-31 relative error = 1.1415733817362594972359703123912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.949 y[1] (analytic) = 5.2576260607614566595201074689078 y[1] (numeric) = 5.2576260607614566595201074689072 absolute error = 6e-31 relative error = 1.1411994559253660718588470015743e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.95 y[1] (analytic) = 5.2593489034394923204198066883598 y[1] (numeric) = 5.2593489034394923204198066883592 absolute error = 6e-31 relative error = 1.1408256250267288834521778889789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.951 y[1] (analytic) = 5.2610724367685669875710572542658 y[1] (numeric) = 5.2610724367685669875710572542652 absolute error = 6e-31 relative error = 1.1404518892511759226058492364878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=518.8MB, alloc=4.5MB, time=25.00 TOP MAIN SOLVE Loop x[1] = 3.952 y[1] (analytic) = 5.262796660025147392193634095116 y[1] (numeric) = 5.2627966600251473921936340951154 absolute error = 6e-31 relative error = 1.1400782488091284159828750241845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.953 y[1] (analytic) = 5.2645215724850103380590686249695 y[1] (numeric) = 5.2645215724850103380590686249689 absolute error = 6e-31 relative error = 1.1397047039106009453481272056572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.954 y[1] (analytic) = 5.2662471734232434257137846199914 y[1] (numeric) = 5.2662471734232434257137846199908 absolute error = 6e-31 relative error = 1.1393312547652015680864418459344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.955 y[1] (analytic) = 5.267973462114245777391437262665 y[1] (numeric) = 5.2679734621142457773914372626644 absolute error = 6e-31 relative error = 1.1389579015821319392055869175908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.956 y[1] (analytic) = 5.2697004378317287626137304413984 y[1] (numeric) = 5.2697004378317287626137304413978 absolute error = 6e-31 relative error = 1.1385846445701874348195788963493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.957 y[1] (analytic) = 5.2714280998487167244789867047703 y[1] (numeric) = 5.2714280998487167244789867047696 absolute error = 7e-31 relative error = 1.3279133979273834899591428216152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.958 y[1] (analytic) = 5.2731564474375477066377435819044 y[1] (numeric) = 5.2731564474375477066377435819037 absolute error = 7e-31 relative error = 1.3274781565416287708699401619232e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.959 y[1] (analytic) = 5.2748854798698741809546492934381 y[1] (numeric) = 5.2748854798698741809546492934374 absolute error = 7e-31 relative error = 1.3270430280834613609351349839937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (analytic) = 5.2766151964166637758559301912485 y[1] (numeric) = 5.2766151964166637758559301912478 absolute error = 7e-31 relative error = 1.3266080127945813724462233034339e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.961 y[1] (analytic) = 5.2783455963482000053617015795305 y[1] (numeric) = 5.2783455963482000053617015795298 absolute error = 7e-31 relative error = 1.3261731109162156716932843363571e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.962 y[1] (analytic) = 5.2800766789340829988023928849765 y[1] (numeric) = 5.2800766789340829988023928849758 absolute error = 7e-31 relative error = 1.3257383226891180332808216479524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.963 y[1] (analytic) = 5.2818084434432302312185574596932 y[1] (numeric) = 5.2818084434432302312185574596924 absolute error = 8e-31 relative error = 1.5146327409755077670101388496815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.964 y[1] (analytic) = 5.283540889143877254443336617106 y[1] (numeric) = 5.2835408891438772544433366171053 absolute error = 7e-31 relative error = 1.3248690881493775211891278013716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.965 y[1] (analytic) = 5.2852740153035784288668468184498 y[1] (numeric) = 5.2852740153035784288668468184491 absolute error = 7e-31 relative error = 1.3244346423158781507658352649507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.966 y[1] (analytic) = 5.2870078211892076558817582455175 y[1] (numeric) = 5.2870078211892076558817582455168 absolute error = 7e-31 relative error = 1.3240003110919341696112040714495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.967 y[1] (analytic) = 5.2887423060669591110093323141502 y[1] (numeric) = 5.2887423060669591110093323141494 absolute error = 8e-31 relative error = 1.5126469653896414487029736069933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.968 y[1] (analytic) = 5.2904774692023479777051850024926 y[1] (numeric) = 5.2904774692023479777051850024918 absolute error = 8e-31 relative error = 1.5121508496294891476443211690702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.969 y[1] (analytic) = 5.2922133098602111818440421883112 y[1] (numeric) = 5.2922133098602111818440421883104 absolute error = 8e-31 relative error = 1.5116548656674068277741718552267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (analytic) = 5.2939498273047081268827525106807 y[1] (numeric) = 5.2939498273047081268827525106799 absolute error = 8e-31 relative error = 1.5111590137742228299155486047909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.971 y[1] (analytic) = 5.2956870207993214297008225930877 y[1] (numeric) = 5.295687020799321429700822593087 absolute error = 7e-31 relative error = 1.3218303824426981806194274266998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.972 y[1] (analytic) = 5.2974248896068576571177387874778 y[1] (numeric) = 5.2974248896068576571177387874771 absolute error = 7e-31 relative error = 1.3213967438657723020137772920681e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.973 y[1] (analytic) = 5.2991634329894480630863389219849 y[1] (numeric) = 5.2991634329894480630863389219842 absolute error = 7e-31 relative error = 1.3209632215572277709327894905110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.974 y[1] (analytic) = 5.3009026502085493265614968590332 y[1] (numeric) = 5.3009026502085493265614968590325 absolute error = 7e-31 relative error = 1.3205298157521539083953014635255e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.975 y[1] (analytic) = 5.3026425405249442900433819951891 y[1] (numeric) = 5.3026425405249442900433819951883 absolute error = 8e-31 relative error = 1.5086817447830504019951250152526e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.976 y[1] (analytic) = 5.3043831031987426987945551595634 y[1] (numeric) = 5.3043831031987426987945551595626 absolute error = 8e-31 relative error = 1.5081866909604811224647482354850e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.977 y[1] (analytic) = 5.3061243374893819407301616937319 y[1] (numeric) = 5.3061243374893819407301616937311 absolute error = 8e-31 relative error = 1.5076917710875275471409088244993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.978 y[1] (analytic) = 5.3078662426556277869804818230408 y[1] (numeric) = 5.30786624265562778698048182304 absolute error = 8e-31 relative error = 1.5071969854307115706512200893876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.979 y[1] (analytic) = 5.3096088179555751331250977568095 y[1] (numeric) = 5.3096088179555751331250977568087 absolute error = 8e-31 relative error = 1.5067023342560177002138292079518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=522.6MB, alloc=4.5MB, time=25.18 TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (analytic) = 5.3113520626466487410979362833252 y[1] (numeric) = 5.3113520626466487410979362833243 absolute error = 9e-31 relative error = 1.6944837950575049240852245680407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.981 y[1] (analytic) = 5.313095975985603981762444954648 y[1] (numeric) = 5.3130959759856039817624449546471 absolute error = 9e-31 relative error = 1.6939276159660297114972622701874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.982 y[1] (analytic) = 5.3148405572285275781561592861135 y[1] (numeric) = 5.3148405572285275781561592861126 absolute error = 9e-31 relative error = 1.6933715890610145902507530938514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.983 y[1] (analytic) = 5.3165858056308383494039177260258 y[1] (numeric) = 5.3165858056308383494039177260249 absolute error = 9e-31 relative error = 1.6928157146392762730426666275390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.984 y[1] (analytic) = 5.3183317204472879552989804823897 y[1] (numeric) = 5.3183317204472879552989804823888 absolute error = 9e-31 relative error = 1.6922599929970281146543623767198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.985 y[1] (analytic) = 5.320078300931961641551307625624 y[1] (numeric) = 5.3200783009319616415513076256231 absolute error = 9e-31 relative error = 1.6917044244298803586384656522893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.986 y[1] (analytic) = 5.3218255463382789857022512190408 y[1] (numeric) = 5.3218255463382789857022512190399 absolute error = 9e-31 relative error = 1.6911490092328403860244365237288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.987 y[1] (analytic) = 5.3235734559189946437049155624602 y[1] (numeric) = 5.3235734559189946437049155624593 absolute error = 9e-31 relative error = 1.6905937477003129660361553088099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.988 y[1] (analytic) = 5.3253220289261990971694389686627 y[1] (numeric) = 5.3253220289261990971694389686619 absolute error = 8e-31 relative error = 1.5022565690009782300576461903846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.989 y[1] (analytic) = 5.3270712646113194012724498274601 y[1] (numeric) = 5.3270712646113194012724498274593 absolute error = 8e-31 relative error = 1.5017632771585807290139650553361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.99 y[1] (analytic) = 5.3288211622251199333299490479899 y[1] (numeric) = 5.3288211622251199333299490479891 absolute error = 8e-31 relative error = 1.5012701226887287627968755903442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.991 y[1] (analytic) = 5.330571721017703142032870306415 y[1] (numeric) = 5.3305717210177031420328703064142 absolute error = 8e-31 relative error = 1.5007771058509751040146337341749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.992 y[1] (analytic) = 5.3323229402385102973445688635293 y[1] (numeric) = 5.3323229402385102973445688635286 absolute error = 7e-31 relative error = 1.3127486985412957598498750629679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.993 y[1] (analytic) = 5.334074819136322241059489054844 y[1] (numeric) = 5.3340748191363222410594890548433 absolute error = 7e-31 relative error = 1.3123175503438887797414343374185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.994 y[1] (analytic) = 5.3358273569592601380222598945483 y[1] (numeric) = 5.3358273569592601380222598945476 absolute error = 7e-31 relative error = 1.3118865232530884667990932824973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.995 y[1] (analytic) = 5.3375805529547862280064675743133 y[1] (numeric) = 5.3375805529547862280064675743126 absolute error = 7e-31 relative error = 1.3114556174941339297983269323738e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.996 y[1] (analytic) = 5.3393344063697045782523529782279 y[1] (numeric) = 5.3393344063697045782523529782271 absolute error = 8e-31 relative error = 1.4983140951906256046079901418803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.997 y[1] (analytic) = 5.3410889164501618366626816762318 y[1] (numeric) = 5.341088916450161836662681676231 absolute error = 8e-31 relative error = 1.4978219095661536704879854066273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.998 y[1] (analytic) = 5.34284408244164798565603320024 y[1] (numeric) = 5.3428440824416479856560332002392 absolute error = 8e-31 relative error = 1.4973298633756962556216141417708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.999 y[1] (analytic) = 5.3445999035889970966767557497301 y[1] (numeric) = 5.3445999035889970966767557497293 absolute error = 8e-31 relative error = 1.4968379568745366549480571998134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4 y[1] (analytic) = 5.3463563791363880853608318169022 y[1] (numeric) = 5.3463563791363880853608318169015 absolute error = 7e-31 relative error = 1.3093029165277473699920421142200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.001 y[1] (analytic) = 5.3481135083273454673568995656086 y[1] (numeric) = 5.3481135083273454673568995656078 absolute error = 8e-31 relative error = 1.4958545639585813347069721505698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.002 y[1] (analytic) = 5.3498712904047401148016741430932 y[1] (numeric) = 5.3498712904047401148016741430924 absolute error = 8e-31 relative error = 1.4953630780516902073207024936456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.003 y[1] (analytic) = 5.3516297246107900134490124491854 y[1] (numeric) = 5.3516297246107900134490124491845 absolute error = 9e-31 relative error = 1.6817306994561449004055879526538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.004 y[1] (analytic) = 5.3533888101870610204518642339433 y[1] (numeric) = 5.3533888101870610204518642339424 absolute error = 9e-31 relative error = 1.6811780946815848987526728703547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.005 y[1] (analytic) = 5.3551485463744676227963517418614 y[1] (numeric) = 5.3551485463744676227963517418606 absolute error = 8e-31 relative error = 1.4938894655716216547145772658496e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.006 y[1] (analytic) = 5.3569089324132736963872194686243 y[1] (numeric) = 5.3569089324132736963872194686234 absolute error = 9e-31 relative error = 1.6800733619986186973478920790378e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.007 y[1] (analytic) = 5.3586699675430932657838949450201 y[1] (numeric) = 5.3586699675430932657838949450192 absolute error = 9e-31 relative error = 1.6795212346556261294972705768822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=526.4MB, alloc=4.5MB, time=25.37 TOP MAIN SOLVE Loop x[1] = 4.008 y[1] (analytic) = 5.3604316510028912645864008120178 y[1] (numeric) = 5.3604316510028912645864008120169 absolute error = 9e-31 relative error = 1.6789692670209079876236644361150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.009 y[1] (analytic) = 5.3621939820309842964703578011573 y[1] (numeric) = 5.3621939820309842964703578011565 absolute error = 8e-31 relative error = 1.4919266305561591119190558951354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.01 y[1] (analytic) = 5.363956959865041396870317585315 y[1] (numeric) = 5.3639569598650413968703175853141 absolute error = 9e-31 relative error = 1.6778658120005575932560513270831e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.011 y[1] (analytic) = 5.3657205837420847953106638165731 y[1] (numeric) = 5.3657205837420847953106638165722 absolute error = 9e-31 relative error = 1.6773143251755661803029905857155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.012 y[1] (analytic) = 5.3674848528984906783833190203579 y[1] (numeric) = 5.367484852898490678383319020357 absolute error = 9e-31 relative error = 1.6767629991801314682832001186084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.013 y[1] (analytic) = 5.3692497665699899533714943682014 y[1] (numeric) = 5.3692497665699899533714943682004 absolute error = 1.0e-30 relative error = 1.8624575936589830608066241782064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.014 y[1] (analytic) = 5.3710153239916690125187187054408 y[1] (numeric) = 5.3710153239916690125187187054399 absolute error = 9e-31 relative error = 1.6756608307926622309901655910129e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.015 y[1] (analytic) = 5.3727815243979704979423825648919 y[1] (numeric) = 5.3727815243979704979423825648909 absolute error = 1.0e-30 relative error = 1.8612333210627836518054720720712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.016 y[1] (analytic) = 5.3745483670226940671910322530133 y[1] (numeric) = 5.3745483670226940671910322530123 absolute error = 1.0e-30 relative error = 1.8606214545129564617227691245799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.017 y[1] (analytic) = 5.3763158510989971594446484513346 y[1] (numeric) = 5.3763158510989971594446484513335 absolute error = 1.1e-30 relative error = 2.0460107450255996405091484912702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.018 y[1] (analytic) = 5.3780839758593957623571431329302 y[1] (numeric) = 5.3780839758593957623571431329292 absolute error = 1.0e-30 relative error = 1.8593982624456958228734117030716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.019 y[1] (analytic) = 5.3798527405357651795403079515094 y[1] (numeric) = 5.3798527405357651795403079515084 absolute error = 1.0e-30 relative error = 1.8587869375406224748600403544633e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.02 y[1] (analytic) = 5.3816221443593407986884466192346 y[1] (numeric) = 5.3816221443593407986884466192336 absolute error = 1.0e-30 relative error = 1.8581757937950616597868198922609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.021 y[1] (analytic) = 5.3833921865607188603429231487027 y[1] (numeric) = 5.3833921865607188603429231487017 absolute error = 1.0e-30 relative error = 1.8575648315135456795903278466883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.022 y[1] (analytic) = 5.3851628663698572272958571946028 y[1] (numeric) = 5.3851628663698572272958571946018 absolute error = 1.0e-30 relative error = 1.8569540509999483687818605899048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.023 y[1] (analytic) = 5.3869341830160761546321970914209 y[1] (numeric) = 5.3869341830160761546321970914199 absolute error = 1.0e-30 relative error = 1.8563434525574854486033023876450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.024 y[1] (analytic) = 5.3887061357280590604094005451815 y[1] (numeric) = 5.3887061357280590604094005451805 absolute error = 1.0e-30 relative error = 1.8557330364887148831476115415816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.025 y[1] (analytic) = 5.3904787237338532969739522996103 y[1] (numeric) = 5.3904787237338532969739522996093 absolute error = 1.0e-30 relative error = 1.8551228030955372374367091765408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.026 y[1] (analytic) = 5.3922519462608709229139474602642 y[1] (numeric) = 5.3922519462608709229139474602632 absolute error = 1.0e-30 relative error = 1.8545127526791960374495626245638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.027 y[1] (analytic) = 5.3940258025358894756469685241098 y[1] (numeric) = 5.3940258025358894756469685241088 absolute error = 1.0e-30 relative error = 1.8539028855402781320932618050420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.028 y[1] (analytic) = 5.395800291785052744642483526738 y[1] (numeric) = 5.3958002917850527446424835267371 absolute error = 9e-31 relative error = 1.6679638817808426513989041468490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.029 y[1] (analytic) = 5.3975754132338715452779920848807 y[1] (numeric) = 5.3975754132338715452779920848798 absolute error = 9e-31 relative error = 1.6674153320644005608208224467135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.03 y[1] (analytic) = 5.3993511661072244933281454781476 y[1] (numeric) = 5.3993511661072244933281454781467 absolute error = 9e-31 relative error = 1.6668669481056811551056533328711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.031 y[1] (analytic) = 5.4011275496293587800860662809285 y[1] (numeric) = 5.4011275496293587800860662809276 absolute error = 9e-31 relative error = 1.6663187301728518532980586184894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.032 y[1] (analytic) = 5.4029045630238909481160924232056 y[1] (numeric) = 5.4029045630238909481160924232048 absolute error = 8e-31 relative error = 1.4806850475853250844016185813325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.033 y[1] (analytic) = 5.4046822055138076676371699275965 y[1] (numeric) = 5.4046822055138076676371699275956 absolute error = 9e-31 relative error = 1.6652227934545868012601947237817e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.034 y[1] (analytic) = 5.4064604763214665135361179392988 y[1] (numeric) = 5.4064604763214665135361179392979 absolute error = 9e-31 relative error = 1.6646750752025404628897474580805e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.035 y[1] (analytic) = 5.4082393746685967430099890357384 y[1] (numeric) = 5.4082393746685967430099890357375 absolute error = 9e-31 relative error = 1.6641275240431637295112565610566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.5MB, time=25.55 x[1] = 4.036 y[1] (analytic) = 5.4100188997763000738367471736234 y[1] (numeric) = 5.4100188997763000738367471736226 absolute error = 8e-31 relative error = 1.4787379024370494453522096424888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.037 y[1] (analytic) = 5.4117990508650514632734850027926 y[1] (numeric) = 5.4117990508650514632734850027918 absolute error = 8e-31 relative error = 1.4782514880557577959534842818485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.038 y[1] (analytic) = 5.4135798271546998875814016487042 y[1] (numeric) = 5.4135798271546998875814016487034 absolute error = 8e-31 relative error = 1.4777652229069808609187033444125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.039 y[1] (analytic) = 5.4153612278644691221767614386539 y[1] (numeric) = 5.4153612278644691221767614386531 absolute error = 8e-31 relative error = 1.4772791072249071644371055483685e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.04 y[1] (analytic) = 5.4171432522129585224070534208273 y[1] (numeric) = 5.4171432522129585224070534208266 absolute error = 7e-31 relative error = 1.2921939985878033183305375382021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.041 y[1] (analytic) = 5.4189258994181438049515709000927 y[1] (numeric) = 5.418925899418143804951570900092 absolute error = 7e-31 relative error = 1.2917689095456396151477332898921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.042 y[1] (analytic) = 5.4207091686973778298456295900195 y[1] (numeric) = 5.4207091686973778298456295900188 absolute error = 7e-31 relative error = 1.2913439518988496593773542104791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.043 y[1] (analytic) = 5.4224930592673913831276423569698 y[1] (numeric) = 5.4224930592673913831276423569691 absolute error = 7e-31 relative error = 1.2909191258505250120658386085482e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.044 y[1] (analytic) = 5.4242775703442939601082679092531 y[1] (numeric) = 5.4242775703442939601082679092524 absolute error = 7e-31 relative error = 1.2904944316033020709973790752909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.045 y[1] (analytic) = 5.4260627011435745492608501622613 y[1] (numeric) = 5.4260627011435745492608501622606 absolute error = 7e-31 relative error = 1.2900698693593623476987030300170e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.046 y[1] (analytic) = 5.427848450880102416732364389209 y[1] (numeric) = 5.4278484508801024167323643892083 absolute error = 7e-31 relative error = 1.2896454393204327457090691888923e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.047 y[1] (analytic) = 5.4296348187681278914740856465994 y[1] (numeric) = 5.4296348187681278914740856465988 absolute error = 6e-31 relative error = 1.1050466928752450058090309217671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.048 y[1] (analytic) = 5.4314218040212831509911943438124 y[1] (numeric) = 5.4314218040212831509911943438118 absolute error = 6e-31 relative error = 1.1046831228533487071259119039297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.049 y[1] (analytic) = 5.4332094058525830077105332072742 y[1] (numeric) = 5.4332094058525830077105332072735 absolute error = 7e-31 relative error = 1.2883729444441604620930162674739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.05 y[1] (analytic) = 5.4349976234744256959657292715176 y[1] (numeric) = 5.434997623474425695965729271517 absolute error = 6e-31 relative error = 1.1039563244858211693168289426257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.051 y[1] (analytic) = 5.4367864560985936595988939120774 y[1] (numeric) = 5.4367864560985936595988939120768 absolute error = 6e-31 relative error = 1.1035930964825065253417623775219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.052 y[1] (analytic) = 5.4385759029362543401781133185842 y[1] (numeric) = 5.4385759029362543401781133185836 absolute error = 6e-31 relative error = 1.1032299828270551808809791185071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.053 y[1] (analytic) = 5.4403659631979609658299411906341 y[1] (numeric) = 5.4403659631979609658299411906335 absolute error = 6e-31 relative error = 1.1028669836896550311585797802625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.054 y[1] (analytic) = 5.4421566360936533406861048240063 y[1] (numeric) = 5.4421566360936533406861048240057 absolute error = 6e-31 relative error = 1.1025040992401062540799017175468e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.055 y[1] (analytic) = 5.4439479208326586349436351405881 y[1] (numeric) = 5.4439479208326586349436351405875 absolute error = 6e-31 relative error = 1.1021413296478215583187434150958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.056 y[1] (analytic) = 5.4457398166236921755376306019439 y[1] (numeric) = 5.4457398166236921755376306019433 absolute error = 6e-31 relative error = 1.1017786750818264324468871094303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.057 y[1] (analytic) = 5.4475323226748582374258643338295 y[1] (numeric) = 5.4475323226748582374258643338289 absolute error = 6e-31 relative error = 1.1014161357107593951017277367128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.058 y[1] (analytic) = 5.4493254381936508354844431771107 y[1] (numeric) = 5.4493254381936508354844431771101 absolute error = 6e-31 relative error = 1.1010537117028722461878210106931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.059 y[1] (analytic) = 5.4511191623869545170137267694931 y[1] (numeric) = 5.4511191623869545170137267694926 absolute error = 5e-31 relative error = 9.1724283602169193259014014115630e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.06 y[1] (analytic) = 5.4529134944610451548537141522107 y[1] (numeric) = 5.4529134944610451548537141522101 absolute error = 6e-31 relative error = 1.1003292104477127340210596883064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.061 y[1] (analytic) = 5.4547084336215907411081047863511 y[1] (numeric) = 5.4547084336215907411081047863506 absolute error = 5e-31 relative error = 9.1663927794584387676525420134547e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.062 y[1] (analytic) = 5.4565039790736521814762402548251 y[1] (numeric) = 5.4565039790736521814762402548246 absolute error = 5e-31 relative error = 9.1633764387886460910056700037629e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.063 y[1] (analytic) = 5.458300130021684090192132318102 y[1] (numeric) = 5.4583001300216840901921323181015 absolute error = 5e-31 relative error = 9.1603610664409115048869249131779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.5MB, time=25.73 x[1] = 4.064 y[1] (analytic) = 5.4600968856695355855697823847518 y[1] (numeric) = 5.4600968856695355855697823847513 absolute error = 5e-31 relative error = 9.1573466637980418435722473287782e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.065 y[1] (analytic) = 5.461894245220451086153996851539 y[1] (numeric) = 5.4618942452204510861539968515385 absolute error = 5e-31 relative error = 9.1543332322396361769793189206717e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.066 y[1] (analytic) = 5.46369220787707110747590216232 y[1] (numeric) = 5.4636922078770711074759021623194 absolute error = 6e-31 relative error = 1.0981584927770505566028428297302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.067 y[1] (analytic) = 5.4654907728414330594123628302948 y[1] (numeric) = 5.4654907728414330594123628302942 absolute error = 6e-31 relative error = 1.0977971145454304712334393671308e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.068 y[1] (analytic) = 5.4672899393149720441485050642629 y[1] (numeric) = 5.4672899393149720441485050642623 absolute error = 6e-31 relative error = 1.0974358533382947382685310885775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.069 y[1] (analytic) = 5.469089706498521654742548036424 y[1] (numeric) = 5.4690897064985216547425480364234 absolute error = 6e-31 relative error = 1.0970747093196581223774434368186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.07 y[1] (analytic) = 5.4708900735923147742921442269604 y[1] (numeric) = 5.4708900735923147742921442269598 absolute error = 6e-31 relative error = 1.0967136826531517630433281275819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.071 y[1] (analytic) = 5.4726910397959843757014296791274 y[1] (numeric) = 5.4726910397959843757014296791268 absolute error = 6e-31 relative error = 1.0963527735020234388268124079062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.072 y[1] (analytic) = 5.474492604308564322047984397867 y[1] (numeric) = 5.4744926043085643220479843978664 absolute error = 6e-31 relative error = 1.0959919820291378326054548059287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.073 y[1] (analytic) = 5.4762947663284901675489025250518 y[1] (numeric) = 5.4762947663284901675489025250512 absolute error = 6e-31 relative error = 1.0956313083969767977848937063034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.074 y[1] (analytic) = 5.4780975250535999591251713253565 y[1] (numeric) = 5.4780975250535999591251713253558 absolute error = 7e-31 relative error = 1.2778158782289128963905102016415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.075 y[1] (analytic) = 5.4799008796811350385635574184428 y[1] (numeric) = 5.4799008796811350385635574184421 absolute error = 7e-31 relative error = 1.2773953678533171980858234746216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.076 y[1] (analytic) = 5.4817048294077408452751980956407 y[1] (numeric) = 5.48170482940774084527519809564 absolute error = 7e-31 relative error = 1.2769749955245766363990987550961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.077 y[1] (analytic) = 5.4835093734294677196500949625998 y[1] (numeric) = 5.4835093734294677196500949625991 absolute error = 7e-31 relative error = 1.2765547614304699644032112184011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.078 y[1] (analytic) = 5.485314510941771707006706553485 y[1] (numeric) = 5.4853145109417717070067065534842 absolute error = 8e-31 relative error = 1.4584396180095209948829286667637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.079 y[1] (analytic) = 5.4871202411395153621358359671905 y[1] (numeric) = 5.4871202411395153621358359671897 absolute error = 8e-31 relative error = 1.4579596670800551952161755543634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.08 y[1] (analytic) = 5.4889265632169685544380089817521 y[1] (numeric) = 5.4889265632169685544380089817513 absolute error = 8e-31 relative error = 1.4574798747737905741129953438151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.081 y[1] (analytic) = 5.490733476367809273653537509646 y[1] (numeric) = 5.4907334763678092736535375096452 absolute error = 8e-31 relative error = 1.4570002413032990202151281228239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.082 y[1] (analytic) = 5.4925409797851244361844626639783 y[1] (numeric) = 5.4925409797851244361844626639775 absolute error = 8e-31 relative error = 1.4565207668806452348021475234789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.083 y[1] (analytic) = 5.4943490726614106920075711136889 y[1] (numeric) = 5.4943490726614106920075711136881 absolute error = 8e-31 relative error = 1.4560414517173870993954012383126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.084 y[1] (analytic) = 5.4961577541885752321776778148217 y[1] (numeric) = 5.4961577541885752321776778148209 absolute error = 8e-31 relative error = 1.4555622960245760445976623557072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.085 y[1] (analytic) = 5.4979670235579365969203676146441 y[1] (numeric) = 5.4979670235579365969203676146433 absolute error = 8e-31 relative error = 1.4550833000127574201630899491991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.086 y[1] (analytic) = 5.499776879960225484313387635943 y[1] (numeric) = 5.4997768799602254843133876359422 absolute error = 8e-31 relative error = 1.4546044638919708662921044832134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.087 y[1] (analytic) = 5.5015873225855855595558817601713 y[1] (numeric) = 5.5015873225855855595558817601704 absolute error = 9e-31 relative error = 1.6358915113557195219140145973913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.088 y[1] (analytic) = 5.5033983506235742648246579402781 y[1] (numeric) = 5.5033983506235742648246579402773 absolute error = 8e-31 relative error = 1.4536472721611262195744482612033e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.089 y[1] (analytic) = 5.5052099632631636297166784870239 y[1] (numeric) = 5.5052099632631636297166784870231 absolute error = 8e-31 relative error = 1.4531689169686222180549161367496e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.09 y[1] (analytic) = 5.5070221596927410822769628863557 y[1] (numeric) = 5.5070221596927410822769628863549 absolute error = 8e-31 relative error = 1.4526907225022592208313069517886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.091 y[1] (analytic) = 5.508834939100110260611092120009 y[1] (numeric) = 5.5088349391001102606110921200081 absolute error = 9e-31 relative error = 1.6337392750907481737855149193045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.5MB, time=25.91 x[1] = 4.092 y[1] (analytic) = 5.5106483006724918250815028768988 y[1] (numeric) = 5.5106483006724918250815028768979 absolute error = 9e-31 relative error = 1.6332016686497095503488402452058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.093 y[1] (analytic) = 5.5124622435965242710867594590737 y[1] (numeric) = 5.5124622435965242710867594590729 absolute error = 8e-31 relative error = 1.4512571055326663963442671383721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.094 y[1] (analytic) = 5.5142767670582647424229906030286 y[1] (numeric) = 5.5142767670582647424229906030278 absolute error = 8e-31 relative error = 1.4507795560410017959576838138175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.095 y[1] (analytic) = 5.5160918702431898452266778550064 y[1] (numeric) = 5.5160918702431898452266778550056 absolute error = 8e-31 relative error = 1.4503021683080309610864502613324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.096 y[1] (analytic) = 5.5179075523361964624979815575696 y[1] (numeric) = 5.5179075523361964624979815575688 absolute error = 8e-31 relative error = 1.4498249425387571232503915778177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.097 y[1] (analytic) = 5.5197238125216025692037899241824 y[1] (numeric) = 5.5197238125216025692037899241816 absolute error = 8e-31 relative error = 1.4493478789376819679680091936166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.098 y[1] (analytic) = 5.5215406499831480479596760988226 y[1] (numeric) = 5.5215406499831480479596760988218 absolute error = 8e-31 relative error = 1.4488709777088060203321994920305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.099 y[1] (analytic) = 5.5233580639039955052899475187343 y[1] (numeric) = 5.5233580639039955052899475187336 absolute error = 7e-31 relative error = 1.2673449591736754027737428970791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.1 y[1] (analytic) = 5.5251760534667310884649713203402 y[1] (numeric) = 5.5251760534667310884649713203395 absolute error = 7e-31 relative error = 1.2669279552835065718083876711432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.101 y[1] (analytic) = 5.5269946178533653029149589510551 y[1] (numeric) = 5.5269946178533653029149589510544 absolute error = 7e-31 relative error = 1.2665110940018857225932276929703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.102 y[1] (analytic) = 5.528813756245333830219392573286 y[1] (numeric) = 5.5288137562453338302193925732853 absolute error = 7e-31 relative error = 1.2660943755055626470333920263154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.103 y[1] (analytic) = 5.5306334678234983466712752712588 y[1] (numeric) = 5.5306334678234983466712752712581 absolute error = 7e-31 relative error = 1.2656777999708503236281211513121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.104 y[1] (analytic) = 5.5324537517681473424153864964907 y[1] (numeric) = 5.53245375176814734241538649649 absolute error = 7e-31 relative error = 1.2652613675736252608462993511892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.105 y[1] (analytic) = 5.5342746072589969411597236137202 y[1] (numeric) = 5.5342746072589969411597236137195 absolute error = 7e-31 relative error = 1.2648450784893278414853210700422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.106 y[1] (analytic) = 5.5360960334751917204593098359228 y[1] (numeric) = 5.5360960334751917204593098359221 absolute error = 7e-31 relative error = 1.2644289328929626680087006807510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.107 y[1] (analytic) = 5.537918029595305532571548264671 y[1] (numeric) = 5.5379180295953055325715482646703 absolute error = 7e-31 relative error = 1.2640129309590989088578418098161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.108 y[1] (analytic) = 5.5397405947973423258823011805548 y[1] (numeric) = 5.5397405947973423258823011805541 absolute error = 7e-31 relative error = 1.2635970728618706457333890942024e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.109 y[1] (analytic) = 5.5415637282587369669018731576509 y[1] (numeric) = 5.5415637282587369669018731576502 absolute error = 7e-31 relative error = 1.2631813587749772218415919940815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.11 y[1] (analytic) = 5.5433874291563560628300760061255 y[1] (numeric) = 5.5433874291563560628300760061248 absolute error = 7e-31 relative error = 1.2627657888716835911011170544845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.111 y[1] (analytic) = 5.5452116966664987846895529779758 y[1] (numeric) = 5.5452116966664987846895529779751 absolute error = 7e-31 relative error = 1.2623503633248206683057517981684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.112 y[1] (analytic) = 5.5470365299648976910265391026531 y[1] (numeric) = 5.5470365299648976910265391026524 absolute error = 7e-31 relative error = 1.2619350823067856802384502412955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.113 y[1] (analytic) = 5.5488619282267195521782339518765 y[1] (numeric) = 5.5488619282267195521782339518758 absolute error = 7e-31 relative error = 1.2615199459895425177321768526712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.114 y[1] (analytic) = 5.5506878906265661751059625663333 y[1] (numeric) = 5.5506878906265661751059625663326 absolute error = 7e-31 relative error = 1.2611049545446220886730126261306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.115 y[1] (analytic) = 5.5525144163384752287932997111736 y[1] (numeric) = 5.5525144163384752287932997111729 absolute error = 7e-31 relative error = 1.2606901081431226719409938040426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.116 y[1] (analytic) = 5.5543415045359210702083320622433 y[1] (numeric) = 5.5543415045359210702083320622426 absolute error = 7e-31 relative error = 1.2602754069557102722841606776618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.117 y[1] (analytic) = 5.556169154391815570829232360863 y[1] (numeric) = 5.5561691543918155708292323608623 absolute error = 7e-31 relative error = 1.2598608511526189761213007970488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.118 y[1] (analytic) = 5.5579973650785089437323190116468 y[1] (numeric) = 5.5579973650785089437323190116461 absolute error = 7e-31 relative error = 1.2594464409036513082688778493371e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.119 y[1] (analytic) = 5.5598261357677905712417740353705 y[1] (numeric) = 5.5598261357677905712417740353698 absolute error = 7e-31 relative error = 1.2590321763781785895876444091028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=541.7MB, alloc=4.5MB, time=26.10 x[1] = 4.12 y[1] (analytic) = 5.5616554656308898331401917272407 y[1] (numeric) = 5.56165546563088983314019172724 absolute error = 7e-31 relative error = 1.2586180577451412955444437283281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.121 y[1] (analytic) = 5.5634853538384769354391298100842 y[1] (numeric) = 5.5634853538384769354391298100835 absolute error = 7e-31 relative error = 1.2582040851730494156847127157996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.122 y[1] (analytic) = 5.5653157995606637397088343119763 y[1] (numeric) = 5.5653157995606637397088343119757 absolute error = 6e-31 relative error = 1.0781059361399852691524616484950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.123 y[1] (analytic) = 5.5671468019670045929663088386528 y[1] (numeric) = 5.5671468019670045929663088386521 absolute error = 7e-31 relative error = 1.2573765788835915902644620412753e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.124 y[1] (analytic) = 5.5689783602264971581208983527034 y[1] (numeric) = 5.5689783602264971581208983527028 absolute error = 6e-31 relative error = 1.0773968961437969503719086675460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.125 y[1] (analytic) = 5.5708104735075832449765570140352 y[1] (numeric) = 5.5708104735075832449765570140346 absolute error = 6e-31 relative error = 1.0770425647279620241385849041214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.126 y[1] (analytic) = 5.5726431409781496417899690794042 y[1] (numeric) = 5.5726431409781496417899690794036 absolute error = 6e-31 relative error = 1.0766883592238848560300467181015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.127 y[1] (analytic) = 5.5744763618055289473836913029664 y[1] (numeric) = 5.5744763618055289473836913029658 absolute error = 6e-31 relative error = 1.0763342797737951660821171933997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.128 y[1] (analytic) = 5.5763101351565004038134847247727 y[1] (numeric) = 5.5763101351565004038134847247721 absolute error = 6e-31 relative error = 1.0759803265195558647679706860499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.129 y[1] (analytic) = 5.5781444601972907295890031799473 y[1] (numeric) = 5.5781444601972907295890031799467 absolute error = 6e-31 relative error = 1.0756264996026633672244703582376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.13 y[1] (analytic) = 5.5799793360935749534470053079295 y[1] (numeric) = 5.5799793360935749534470053079289 absolute error = 6e-31 relative error = 1.0752727991642479082247580592132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.131 y[1] (analytic) = 5.581814762010477248676256288636 y[1] (numeric) = 5.5818147620104772486762562886354 absolute error = 6e-31 relative error = 1.0749192253450738578933105214532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.132 y[1] (analytic) = 5.583650737112571767993284980713 y[1] (numeric) = 5.5836507371125717679932849807124 absolute error = 6e-31 relative error = 1.0745657782855400381596819921217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.133 y[1] (analytic) = 5.5854872605638834789681615861888 y[1] (numeric) = 5.5854872605638834789681615861882 absolute error = 6e-31 relative error = 1.0742124581256800399471595859654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.134 y[1] (analytic) = 5.5873243315278889999994604158197 y[1] (numeric) = 5.5873243315278889999994604158191 absolute error = 6e-31 relative error = 1.0738592650051625410925638261139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.135 y[1] (analytic) = 5.5891619491675174368375717802366 y[1] (numeric) = 5.589161949167517436837571780236 absolute error = 6e-31 relative error = 1.0735061990632916249934330337323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.136 y[1] (analytic) = 5.591000112645151219655526483649 y[1] (numeric) = 5.5910001126451512196555264836483 absolute error = 7e-31 relative error = 1.2520121371788416166419758419502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.137 y[1] (analytic) = 5.5928388211226269406664958493521 y[1] (numeric) = 5.5928388211226269406664958493514 absolute error = 7e-31 relative error = 1.2516005241493656226334115978921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.138 y[1] (analytic) = 5.5946780737612361922871296596076 y[1] (numeric) = 5.5946780737612361922871296596069 absolute error = 7e-31 relative error = 1.2511890599799931695103838934611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.139 y[1] (analytic) = 5.5965178697217264058458938466288 y[1] (numeric) = 5.5965178697217264058458938466281 absolute error = 7e-31 relative error = 1.2507777448315479815562962418253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.14 y[1] (analytic) = 5.5983582081643016908355692264027 y[1] (numeric) = 5.598358208164301690835569226402 absolute error = 7e-31 relative error = 1.2503665788644302942267691325888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.141 y[1] (analytic) = 5.6001990882486236747090720229209 y[1] (numeric) = 5.6001990882486236747090720229202 absolute error = 7e-31 relative error = 1.2499555622386172309046293677578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.142 y[1] (analytic) = 5.6020405091338123432177563870681 y[1] (numeric) = 5.6020405091338123432177563870674 absolute error = 7e-31 relative error = 1.2495446951136631804729999927639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.143 y[1] (analytic) = 5.6038824699784468812913585719353 y[1] (numeric) = 5.6038824699784468812913585719346 absolute error = 7e-31 relative error = 1.2491339776487001757021609846858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.144 y[1] (analytic) = 5.6057249699405665144587418846852 y[1] (numeric) = 5.6057249699405665144587418846844 absolute error = 8e-31 relative error = 1.4271124685742151685095522611212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.145 y[1] (analytic) = 5.6075680081776713508086009942928 y[1] (numeric) = 5.607568008177671350808600994292 absolute error = 8e-31 relative error = 1.4266434198093324910202807951326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.146 y[1] (analytic) = 5.6094115838467232234892836345293 y[1] (numeric) = 5.6094115838467232234892836345285 absolute error = 8e-31 relative error = 1.4261745426271433029927464446349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.147 y[1] (analytic) = 5.6112556961041465337468872024357 y[1] (numeric) = 5.6112556961041465337468872024349 absolute error = 8e-31 relative error = 1.4257058372075863567832903181596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.5MB, time=26.28 x[1] = 4.148 y[1] (analytic) = 5.6131003441058290945007872142614 y[1] (numeric) = 5.6131003441058290945007872142606 absolute error = 8e-31 relative error = 1.4252373037301198880362467243185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.149 y[1] (analytic) = 5.6149455270071229744557540434088 y[1] (numeric) = 5.6149455270071229744557540434079 absolute error = 9e-31 relative error = 1.6028650601704373103031147727212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.15 y[1] (analytic) = 5.6167912439628453427498138283373 y[1] (numeric) = 5.6167912439628453427498138283364 absolute error = 9e-31 relative error = 1.6023383474815027916496846303183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.151 y[1] (analytic) = 5.6186374941272793141370089026375 y[1] (numeric) = 5.6186374941272793141370089026367 absolute error = 8e-31 relative error = 1.4238327367376471548926398687773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.152 y[1] (analytic) = 5.6204842766541747947042125645838 y[1] (numeric) = 5.620484276654174794704212564583 absolute error = 8e-31 relative error = 1.4233648928135299641312483788888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.153 y[1] (analytic) = 5.6223315906967493281211524694223 y[1] (numeric) = 5.6223315906967493281211524694215 absolute error = 8e-31 relative error = 1.4228972217216020367770623193796e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.154 y[1] (analytic) = 5.6241794354076889424227963944407 y[1] (numeric) = 5.6241794354076889424227963944399 absolute error = 8e-31 relative error = 1.4224297236384477356738335809553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.155 y[1] (analytic) = 5.6260278099391489973232535945056 y[1] (numeric) = 5.6260278099391489973232535945047 absolute error = 9e-31 relative error = 1.5997076985826957399004516208553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.156 y[1] (analytic) = 5.6278767134427550320603444342349 y[1] (numeric) = 5.6278767134427550320603444342341 absolute error = 8e-31 relative error = 1.4214952472024107444677900842808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.157 y[1] (analytic) = 5.629726145069603613769990452309 y[1] (numeric) = 5.6297261450696036137699904523082 absolute error = 8e-31 relative error = 1.4210282692003113940446109402190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.158 y[1] (analytic) = 5.631576103970263186389576483598 y[1] (numeric) = 5.6315761039702631863895764835972 absolute error = 8e-31 relative error = 1.4205614649085532399837272685595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.159 y[1] (analytic) = 5.6334265892947749200894359358166 y[1] (numeric) = 5.6334265892947749200894359358159 absolute error = 7e-31 relative error = 1.2425829801886706899466426047363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.16 y[1] (analytic) = 5.6352776001926535612316097892908 y[1] (numeric) = 5.6352776001926535612316097892901 absolute error = 7e-31 relative error = 1.2421748308833429244298544155449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.161 y[1] (analytic) = 5.6371291358128882828550293611476 y[1] (numeric) = 5.6371291358128882828550293611469 absolute error = 7e-31 relative error = 1.2417668340305960173074059913760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.162 y[1] (analytic) = 5.6389811953039435356862723488176 y[1] (numeric) = 5.6389811953039435356862723488169 absolute error = 7e-31 relative error = 1.2413589897816101796008628424548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.163 y[1] (analytic) = 5.6408337778137598996750411421636 y[1] (numeric) = 5.640833777813759899675041142163 absolute error = 6e-31 relative error = 1.0636725413889865699249804789839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.164 y[1] (analytic) = 5.6426868824897549360535118688293 y[1] (numeric) = 5.6426868824897549360535118688286 absolute error = 7e-31 relative error = 1.2405437596975698305808869961894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.165 y[1] (analytic) = 5.6445405084788240399187021135282 y[1] (numeric) = 5.6445405084788240399187021135276 absolute error = 6e-31 relative error = 1.0629740349966893139061872028841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.166 y[1] (analytic) = 5.6463946549273412933370047289791 y[1] (numeric) = 5.6463946549273412933370047289784 absolute error = 7e-31 relative error = 1.2397291418323781896641026815624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.167 y[1] (analytic) = 5.6482493209811603189700346340213 y[1] (numeric) = 5.6482493209811603189700346340206 absolute error = 7e-31 relative error = 1.2393220628554028435667906448420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.168 y[1] (analytic) = 5.650104505785615134220934973138 y[1] (numeric) = 5.6501045057856151342209349731374 absolute error = 6e-31 relative error = 1.0619272606119227652447632920352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.169 y[1] (analytic) = 5.6519602084855210059002884911504 y[1] (numeric) = 5.6519602084855210059002884911498 absolute error = 6e-31 relative error = 1.0615785990481589906387958788493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.17 y[1] (analytic) = 5.6538164282251753054107794572422 y[1] (numeric) = 5.6538164282251753054107794572416 absolute error = 6e-31 relative error = 1.0612300693115176598782340867051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.171 y[1] (analytic) = 5.655673164148358364449750953726 y[1] (numeric) = 5.6556731641483583644497509537254 absolute error = 6e-31 relative error = 1.0608816715283955065436891854212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.172 y[1] (analytic) = 5.6575304153983343312288018270632 y[1] (numeric) = 5.6575304153983343312288018270626 absolute error = 6e-31 relative error = 1.0605334058248369372743283951912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.173 y[1] (analytic) = 5.6593881811178520272095670816135 y[1] (numeric) = 5.6593881811178520272095670816129 absolute error = 6e-31 relative error = 1.0601852723265343753310197232592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.174 y[1] (analytic) = 5.6612464604491458043548249804037 y[1] (numeric) = 5.6612464604491458043548249804031 absolute error = 6e-31 relative error = 1.0598372711588286047451368467102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.175 y[1] (analytic) = 5.6631052525339364028940736018815 y[1] (numeric) = 5.6631052525339364028940736018809 absolute error = 6e-31 relative error = 1.0594894024467091150495206498361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.5MB, time=26.46 x[1] = 4.176 y[1] (analytic) = 5.664964556513431809602719087148 y[1] (numeric) = 5.6649645565134318096027190871473 absolute error = 7e-31 relative error = 1.2356652773672835210194508084389e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.177 y[1] (analytic) = 5.6668243715283281165940172985527 y[1] (numeric) = 5.666824371528328116594017298552 absolute error = 7e-31 relative error = 1.2352597400353379591341343281663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.178 y[1] (analytic) = 5.6686846967188103806229100977814 y[1] (numeric) = 5.6686846967188103806229100977807 absolute error = 7e-31 relative error = 1.2348543576699179087926867373486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.179 y[1] (analytic) = 5.6705455312245534829008969396711 y[1] (numeric) = 5.6705455312245534829008969396704 absolute error = 7e-31 relative error = 1.2344491304152091020925233880458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.18 y[1] (analytic) = 5.6724068741847229894210819669533 y[1] (numeric) = 5.6724068741847229894210819669526 absolute error = 7e-31 relative error = 1.2340440584149894485252784860864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.181 y[1] (analytic) = 5.6742687247379760117925362809491 y[1] (numeric) = 5.6742687247379760117925362809485 absolute error = 6e-31 relative error = 1.0574049786965395209879658099048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.182 y[1] (analytic) = 5.676131082022462068583114553927 y[1] (numeric) = 5.6761310820224620685831145539263 absolute error = 7e-31 relative error = 1.2332343807510925634328953913237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.183 y[1] (analytic) = 5.6779939451758239471698646403764 y[1] (numeric) = 5.6779939451758239471698646403757 absolute error = 7e-31 relative error = 1.2328297753729356966944410615061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.184 y[1] (analytic) = 5.6798573133351985660961683368617 y[1] (numeric) = 5.6798573133351985660961683368611 absolute error = 6e-31 relative error = 1.0563645649888367385015221589091e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.185 y[1] (analytic) = 5.6817211856372178379347509333861 y[1] (numeric) = 5.6817211856372178379347509333855 absolute error = 6e-31 relative error = 1.0560180276299648229946562825056e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.186 y[1] (analytic) = 5.6835855612180095326556966933276 y[1] (numeric) = 5.683585561218009532655696693327 absolute error = 6e-31 relative error = 1.0556716240784773016627717551913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.187 y[1] (analytic) = 5.6854504392131981414986068940052 y[1] (numeric) = 5.6854504392131981414986068940046 absolute error = 6e-31 relative error = 1.0553253544551752262234077803365e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.188 y[1] (analytic) = 5.6873158187579057413480365557872 y[1] (numeric) = 5.6873158187579057413480365557866 absolute error = 6e-31 relative error = 1.0549792188805128867924584729487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.189 y[1] (analytic) = 5.6891816989867528596113454843786 y[1] (numeric) = 5.689181698986752859611345484378 absolute error = 6e-31 relative error = 1.0546332174745981644012218092849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.19 y[1] (analytic) = 5.6910480790338593395980987485076 y[1] (numeric) = 5.6910480790338593395980987485069 absolute error = 7e-31 relative error = 1.2300019087500583647178360281911e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.191 y[1] (analytic) = 5.6929149580328452064001512136828 y[1] (numeric) = 5.6929149580328452064001512136822 absolute error = 6e-31 relative error = 1.0539416176477131682518717870697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.192 y[1] (analytic) = 5.6947823351168315332715502520104 y[1] (numeric) = 5.6947823351168315332715502520098 absolute error = 6e-31 relative error = 1.0535960194652297911921992886309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.193 y[1] (analytic) = 5.6966502094184413085073902482378 y[1] (numeric) = 5.6966502094184413085073902482371 absolute error = 7e-31 relative error = 1.2287923152498799554998295396849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.194 y[1] (analytic) = 5.6985185800698003028207520232442 y[1] (numeric) = 5.6985185800698003028207520232436 absolute error = 6e-31 relative error = 1.0529052271558105363417050976845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.195 y[1] (analytic) = 5.7003874462025379372168597981103 y[1] (numeric) = 5.7003874462025379372168597981096 absolute error = 7e-31 relative error = 1.2279867054761747690760611521051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.196 y[1] (analytic) = 5.7022568069477881513635878246806 y[1] (numeric) = 5.7022568069477881513635878246799 absolute error = 7e-31 relative error = 1.2275841367703758062500596114188e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.197 y[1] (analytic) = 5.7041266614361902724574483121875 y[1] (numeric) = 5.7041266614361902724574483121868 absolute error = 7e-31 relative error = 1.2271817257012896594779091395622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.198 y[1] (analytic) = 5.7059970087978898845841917840181 y[1] (numeric) = 5.7059970087978898845841917840174 absolute error = 7e-31 relative error = 1.2267794724054235025200316319588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.199 y[1] (analytic) = 5.7078678481625396985731505040985 y[1] (numeric) = 5.7078678481625396985731505040978 absolute error = 7e-31 relative error = 1.2263773770188845112873782776803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.2 y[1] (analytic) = 5.7097391786593004223444551186229 y[1] (numeric) = 5.7097391786593004223444551186222 absolute error = 7e-31 relative error = 1.2259754396773802817016826825214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.201 y[1] (analytic) = 5.7116109994168416317482541659845 y[1] (numeric) = 5.7116109994168416317482541659838 absolute error = 7e-31 relative error = 1.2255736605162192481313866643902e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.202 y[1] (analytic) = 5.7134833095633426418950656157609 y[1] (numeric) = 5.7134833095633426418950656157602 absolute error = 7e-31 relative error = 1.2251720396703111023993648299607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.203 y[1] (analytic) = 5.7153561082264933789763891064743 y[1] (numeric) = 5.7153561082264933789763891064736 absolute error = 7e-31 relative error = 1.2247705772741672133585820626750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.204 memory used=553.1MB, alloc=4.5MB, time=26.65 y[1] (analytic) = 5.7172293945334952525747070615887 y[1] (numeric) = 5.717229394533495252574707061588 absolute error = 7e-31 relative error = 1.2243692734619010470318260805234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.205 y[1] (analytic) = 5.7191031676110620284620023738137 y[1] (numeric) = 5.719103167611062028462002373813 absolute error = 7e-31 relative error = 1.2239681283672285873116652574489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.206 y[1] (analytic) = 5.7209774265854207018859198592713 y[1] (numeric) = 5.7209774265854207018859198592705 absolute error = 8e-31 relative error = 1.3983624481411071511049027938284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.207 y[1] (analytic) = 5.7228521705823123713426981954362 y[1] (numeric) = 5.7228521705823123713426981954354 absolute error = 8e-31 relative error = 1.3979043598440501036581755164200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.208 y[1] (analytic) = 5.7247273987269931128359985699916 y[1] (numeric) = 5.7247273987269931128359985699908 absolute error = 8e-31 relative error = 1.3974464533942627485832433212367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.209 y[1] (analytic) = 5.7266031101442348546207557818429 y[1] (numeric) = 5.7266031101442348546207557818421 absolute error = 8e-31 relative error = 1.3969887289427511126703711597441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.21 y[1] (analytic) = 5.7284793039583262524311770505132 y[1] (numeric) = 5.7284793039583262524311770505123 absolute error = 9e-31 relative error = 1.5710975849700780422269690715664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.211 y[1] (analytic) = 5.7303559792930735651920133059925 y[1] (numeric) = 5.7303559792930735651920133059916 absolute error = 9e-31 relative error = 1.5705830549658603721887539480400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.212 y[1] (analytic) = 5.7322331352718015312122272478448 y[1] (numeric) = 5.732233135271801531212227247844 absolute error = 8e-31 relative error = 1.3956166490811559180930738954901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.213 y[1] (analytic) = 5.7341107710173542448601819799758 y[1] (numeric) = 5.7341107710173542448601819799749 absolute error = 9e-31 relative error = 1.5695546108892498695263172319892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.214 y[1] (analytic) = 5.7359888856520960337194735459463 y[1] (numeric) = 5.7359888856520960337194735459455 absolute error = 8e-31 relative error = 1.3947028419129371811136791862185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.215 y[1] (analytic) = 5.7378674782979123362245302090734 y[1] (numeric) = 5.7378674782979123362245302090726 absolute error = 8e-31 relative error = 1.3942462125969366721461676072440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.216 y[1] (analytic) = 5.7397465480762105797751008417904 y[1] (numeric) = 5.7397465480762105797751008417897 absolute error = 7e-31 relative error = 1.2195660455331757210886325787770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.217 y[1] (analytic) = 5.7416260941079210593287543098533 y[1] (numeric) = 5.7416260941079210593287543098526 absolute error = 7e-31 relative error = 1.2191668153353676439855164380433e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.218 y[1] (analytic) = 5.7435061155134978164705112589652 y[1] (numeric) = 5.7435061155134978164705112589645 absolute error = 7e-31 relative error = 1.2187677455574826046601231891786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.219 y[1] (analytic) = 5.7453866114129195189587292342617 y[1] (numeric) = 5.745386611412919518958729234261 absolute error = 7e-31 relative error = 1.2183688363277163153101608861497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.22 y[1] (analytic) = 5.7472675809256903407463615868448 y[1] (numeric) = 5.7472675809256903407463615868441 absolute error = 7e-31 relative error = 1.2179700877738733811363150798798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.221 y[1] (analytic) = 5.7491490231708408424767101461798 y[1] (numeric) = 5.7491490231708408424767101461791 absolute error = 7e-31 relative error = 1.2175715000233677294888197142595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.222 y[1] (analytic) = 5.7510309372669288524527911626759 y[1] (numeric) = 5.7510309372669288524527911626753 absolute error = 6e-31 relative error = 1.0432912056027626052943219581477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.223 y[1] (analytic) = 5.7529133223320403480794335511584 y[1] (numeric) = 5.7529133223320403480794335511578 absolute error = 6e-31 relative error = 1.0429498349486341476594678556877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.224 y[1] (analytic) = 5.7547961774837903377772279932066 y[1] (numeric) = 5.7547961774837903377772279932059 absolute error = 7e-31 relative error = 1.2163767028601626013867651610927e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.225 y[1] (analytic) = 5.756679501839323743367444984483 y[1] (numeric) = 5.7566795018393237433674449844824 absolute error = 6e-31 relative error = 1.0422675082194401521209509936503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.226 y[1] (analytic) = 5.7585632945153162829270394422092 y[1] (numeric) = 5.7585632945153162829270394422086 absolute error = 6e-31 relative error = 1.0419265523597939083371244902300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.227 y[1] (analytic) = 5.760447554627975354112859017856 y[1] (numeric) = 5.7604475546279753541128590178554 absolute error = 6e-31 relative error = 1.0415857349798396982744463746489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.228 y[1] (analytic) = 5.7623322812930409179541727909151 y[1] (numeric) = 5.7623322812930409179541727909145 absolute error = 6e-31 relative error = 1.0412450561864557273905455972746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.229 y[1] (analytic) = 5.7642174736257863831126365512957 y[1] (numeric) = 5.7642174736257863831126365512951 absolute error = 6e-31 relative error = 1.0409045160861882921732045860762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.23 y[1] (analytic) = 5.7661031307410194906088104104552 y[1] (numeric) = 5.7661031307410194906088104104546 absolute error = 6e-31 relative error = 1.0405641147852521516929623014224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.231 y[1] (analytic) = 5.76798925175308319901434401482 y[1] (numeric) = 5.7679892517530831990143440148195 absolute error = 5e-31 relative error = 8.6685321032460908296045807039664e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.232 y[1] (analytic) = 5.7698758357758565701089441693852 y[1] (numeric) = 5.7698758357758565701089441693847 memory used=556.9MB, alloc=4.5MB, time=26.83 absolute error = 5e-31 relative error = 8.6656977417048111352503796188698e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.233 y[1] (analytic) = 5.7717628819227556550012392145981 y[1] (numeric) = 5.7717628819227556550012392145976 absolute error = 5e-31 relative error = 8.6628645394634486817720668790056e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.234 y[1] (analytic) = 5.773650389306734380712654035737 y[1] (numeric) = 5.7736503893067343807126540357365 absolute error = 5e-31 relative error = 8.6600324973961062426496961605972e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.235 y[1] (analytic) = 5.7755383570402854372234091209827 y[1] (numeric) = 5.7755383570402854372234091209822 absolute error = 5e-31 relative error = 8.6572016163741393099976885218206e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.236 y[1] (analytic) = 5.7774267842354411649797566222578 y[1] (numeric) = 5.7774267842354411649797566222573 absolute error = 5e-31 relative error = 8.6543718972661592102903209858992e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.237 y[1] (analytic) = 5.7793156700037744428615659116721 y[1] (numeric) = 5.7793156700037744428615659116717 absolute error = 4e-31 relative error = 6.9212346727504289785915457123006e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.238 y[1] (analytic) = 5.7812050134563995766093706660626 y[1] (numeric) = 5.7812050134563995766093706660621 absolute error = 5e-31 relative error = 8.6487159482529027037987631156238e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.239 y[1] (analytic) = 5.7830948137039731877099890526537 y[1] (numeric) = 5.7830948137039731877099890526532 absolute error = 5e-31 relative error = 8.6458897200711562072694109305954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.24 y[1] (analytic) = 5.7849850698566951027398281302941 y[1] (numeric) = 5.7849850698566951027398281302936 absolute error = 5e-31 relative error = 8.6430646572504626174809298410975e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.241 y[1] (analytic) = 5.7868757810243092431649831230371 y[1] (numeric) = 5.7868757810243092431649831230367 absolute error = 4e-31 relative error = 6.9121926085166074224181399958490e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.242 y[1] (analytic) = 5.788766946316104515597241766042 y[1] (numeric) = 5.7887669463161045155972417660415 absolute error = 5e-31 relative error = 8.6374180311092581265000413870471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.243 y[1] (analytic) = 5.7906585648409157025051034678635 y[1] (numeric) = 5.7906585648409157025051034678631 absolute error = 4e-31 relative error = 6.9076771755923590654322478569093e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.244 y[1] (analytic) = 5.7925506357071243533789225781876 y[1] (numeric) = 5.7925506357071243533789225781872 absolute error = 4e-31 relative error = 6.9054208613088815474182962453104e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.245 y[1] (analytic) = 5.7944431580226596763492845959414 y[1] (numeric) = 5.794443158022659676349284595941 absolute error = 4e-31 relative error = 6.9031654827122175912069216611678e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.246 y[1] (analytic) = 5.796336130894999430257723699478 y[1] (numeric) = 5.7963361308949994302577236994775 absolute error = 5e-31 relative error = 8.6261388005943007118436481698227e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.247 y[1] (analytic) = 5.7982295534311708171788895281907 y[1] (numeric) = 5.7982295534311708171788895281903 absolute error = 4e-31 relative error = 6.8986575352694561027291850487740e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.248 y[1] (analytic) = 5.8001234247377513753932706934669 y[1] (numeric) = 5.8001234247377513753932706934665 absolute error = 4e-31 relative error = 6.8964049677630045808080132903525e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.249 y[1] (analytic) = 5.8020177439208698728095820463294 y[1] (numeric) = 5.802017743920869872809582046329 absolute error = 4e-31 relative error = 6.8941533386226636866616683607363e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.25 y[1] (analytic) = 5.8039125100862072008359222794552 y[1] (numeric) = 5.8039125100862072008359222794547 absolute error = 5e-31 relative error = 8.6148783106410636529904436796539e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.251 y[1] (analytic) = 5.8058077223389972686988079924863 y[1] (numeric) = 5.8058077223389972686988079924858 absolute error = 5e-31 relative error = 8.6120661226197826719171462139509e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.252 y[1] (analytic) = 5.8077033797840278982091899016755 y[1] (numeric) = 5.807703379784027898209189901675 absolute error = 5e-31 relative error = 8.6092551100396175744375788490870e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.253 y[1] (analytic) = 5.8095994815256417189745564279226 y[1] (numeric) = 5.8095994815256417189745564279221 absolute error = 5e-31 relative error = 8.6064452737230085331694470687084e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.254 y[1] (analytic) = 5.8114960266677370640562294511748 y[1] (numeric) = 5.8114960266677370640562294511743 absolute error = 5e-31 relative error = 8.6036366144897081526170804706689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.255 y[1] (analytic) = 5.8133930143137688660709565739679 y[1] (numeric) = 5.8133930143137688660709565739674 absolute error = 5e-31 relative error = 8.6008291331567846404714703354788e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.256 y[1] (analytic) = 5.8152904435667495537359037925928 y[1] (numeric) = 5.8152904435667495537359037925922 absolute error = 6e-31 relative error = 1.0317627396646349977903820120372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.257 y[1] (analytic) = 5.8171883135292499488561520309671 y[1] (numeric) = 5.8171883135292499488561520309665 absolute error = 6e-31 relative error = 1.0314261248936325737528424899711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.258 y[1] (analytic) = 5.8190866233034001637538005497924 y[1] (numeric) = 5.8190866233034001637538005497918 absolute error = 6e-31 relative error = 1.0310896517628909733468818470536e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.259 y[1] (analytic) = 5.8209853719908904991377798019665 y[1] (numeric) = 5.8209853719908904991377798019659 absolute error = 6e-31 relative error = 1.0307533203691736829639707467173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.26 y[1] (analytic) = 5.822884558692972342413475864514 y[1] (numeric) = 5.8228845586929723424134758645134 absolute error = 6e-31 relative error = 1.0304171308089239689165699219395e-29 % Correct digits = 30 h = 0.001 memory used=560.7MB, alloc=4.5MB, time=27.02 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.261 y[1] (analytic) = 5.8247841825104590664312681374851 y[1] (numeric) = 5.8247841825104590664312681374844 absolute error = 7e-31 relative error = 1.2017612637079761365232957334485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.262 y[1] (analytic) = 5.8266842425437269286730815613593 y[1] (numeric) = 5.8266842425437269286730815613587 absolute error = 6e-31 relative error = 1.0297451775730015296206117789207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.263 y[1] (analytic) = 5.8285847378927159708760541664786 y[1] (numeric) = 5.8285847378927159708760541664779 absolute error = 7e-31 relative error = 1.2009776497700539600793805064220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.264 y[1] (analytic) = 5.8304856676569309190924203309144 y[1] (numeric) = 5.8304856676569309190924203309137 absolute error = 7e-31 relative error = 1.2005860916236599120654509839728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.265 y[1] (analytic) = 5.8323870309354420841847096869637 y[1] (numeric) = 5.832387030935442084184709686963 absolute error = 7e-31 relative error = 1.2001946995066422004690016706435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.266 y[1] (analytic) = 5.8342888268268862627553611811474 y[1] (numeric) = 5.8342888268268862627553611811467 absolute error = 7e-31 relative error = 1.1998034735292858108037155888766e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.267 y[1] (analytic) = 5.8361910544294676385098513581736 y[1] (numeric) = 5.836191054429467638509851358173 absolute error = 6e-31 relative error = 1.0280677832584330877691556535918e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.268 y[1] (analytic) = 5.8380937128409586840524355058125 y[1] (numeric) = 5.8380937128409586840524355058119 absolute error = 6e-31 relative error = 1.0277327317995815059825489316068e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.269 y[1] (analytic) = 5.8399968011587010631135998650159 y[1] (numeric) = 5.8399968011587010631135998650153 absolute error = 6e-31 relative error = 1.0273978230278401950865869367164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.27 y[1] (analytic) = 5.8419003184796065332083226779057 y[1] (numeric) = 5.8419003184796065332083226779051 absolute error = 6e-31 relative error = 1.0270630570364713038960820243432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.271 y[1] (analytic) = 5.8438042639001578487242414154447 y[1] (numeric) = 5.8438042639001578487242414154441 absolute error = 6e-31 relative error = 1.0267284339184209842005765183593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.272 y[1] (analytic) = 5.8457086365164096644388230966977 y[1] (numeric) = 5.8457086365164096644388230966971 absolute error = 6e-31 relative error = 1.0263939537663197763853617244390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.273 y[1] (analytic) = 5.8476134354239894394646341825881 y[1] (numeric) = 5.8476134354239894394646341825875 absolute error = 6e-31 relative error = 1.0260596166724829953246963420037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.274 y[1] (analytic) = 5.849518659718098341621806098956 y[1] (numeric) = 5.8495186597180983416218060989553 absolute error = 7e-31 relative error = 1.1966796598503963026351436065901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.275 y[1] (analytic) = 5.8514243084935121522367920165259 y[1] (numeric) = 5.8514243084935121522367920165252 absolute error = 7e-31 relative error = 1.1962899340318385230929210249511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.276 y[1] (analytic) = 5.8533303808445821713665100891052 y[1] (numeric) = 5.8533303808445821713665100891045 absolute error = 7e-31 relative error = 1.1959003754354907716957997133298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.277 y[1] (analytic) = 5.8552368758652361234469679259432 y[1] (numeric) = 5.8552368758652361234469679259425 absolute error = 7e-31 relative error = 1.1955109841675877050696718340310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.278 y[1] (analytic) = 5.857143792648979063365462649703 y[1] (numeric) = 5.8571437926489790633654626497023 absolute error = 7e-31 relative error = 1.1951217603339984724368123791940e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.279 y[1] (analytic) = 5.8590511302888942829554504679216 y[1] (numeric) = 5.8590511302888942829554504679209 absolute error = 7e-31 relative error = 1.1947327040402271676613397555664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.28 y[1] (analytic) = 5.860958887877644217913179263164 y[1] (numeric) = 5.8609588878776442179131792631632 absolute error = 8e-31 relative error = 1.3649643604473294646736259580449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.281 y[1] (analytic) = 5.8628670645074713551351772853136 y[1] (numeric) = 5.8628670645074713551351772853129 absolute error = 7e-31 relative error = 1.1939550944923321546810066911478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.282 y[1] (analytic) = 5.8647756592701991404756906085879 y[1] (numeric) = 5.8647756592701991404756906085872 absolute error = 7e-31 relative error = 1.1935665414473954299298409029053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.283 y[1] (analytic) = 5.8666846712572328869231615959146 y[1] (numeric) = 5.8666846712572328869231615959139 absolute error = 7e-31 relative error = 1.1931781563606515060685957404881e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.284 y[1] (analytic) = 5.8685940995595606831948401942684 y[1] (numeric) = 5.8685940995595606831948401942677 absolute error = 7e-31 relative error = 1.1927899393357859910558683198174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.285 y[1] (analytic) = 5.8705039432677543027486194664306 y[1] (numeric) = 5.8705039432677543027486194664299 absolute error = 7e-31 relative error = 1.1924018904761221558418822439205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.286 y[1] (analytic) = 5.8724142014719701132111863474134 y[1] (numeric) = 5.8724142014719701132111863474127 absolute error = 7e-31 relative error = 1.1920140098846213884096959054978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.287 y[1] (analytic) = 5.8743248732619499862215781974725 y[1] (numeric) = 5.8743248732619499862215781974718 absolute error = 7e-31 relative error = 1.1916262976638836480887418972989e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.288 y[1] (analytic) = 5.8762359577270222076892353082282 y[1] (numeric) = 5.8762359577270222076892353082275 absolute error = 7e-31 relative error = 1.1912387539161479201375283433729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=564.5MB, alloc=4.5MB, time=27.20 TOP MAIN SOLVE Loop x[1] = 4.289 y[1] (analytic) = 5.8781474539561023884656391039186 y[1] (numeric) = 5.8781474539561023884656391039178 absolute error = 8e-31 relative error = 1.3609730042780487663912470942065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.29 y[1] (analytic) = 5.8800593610376943754286253662208 y[1] (numeric) = 5.88005936103769437542862536622 absolute error = 8e-31 relative error = 1.3605304825678129158614798583960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.291 y[1] (analytic) = 5.8819716780598911629784613984057 y[1] (numeric) = 5.8819716780598911629784613984049 absolute error = 8e-31 relative error = 1.3600881537462144064949560624566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.292 y[1] (analytic) = 5.8838844041103758049447756328223 y[1] (numeric) = 5.8838844041103758049447756328215 absolute error = 8e-31 relative error = 1.3596460179284528269483637152955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.293 y[1] (analytic) = 5.8857975382764223269034277748598 y[1] (numeric) = 5.885797538276422326903427774859 absolute error = 8e-31 relative error = 1.3592040752293178261865809815471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.294 y[1] (analytic) = 5.8877110796448966389024071665925 y[1] (numeric) = 5.8877110796448966389024071665917 absolute error = 8e-31 relative error = 1.3587623257631896347759121010890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.295 y[1] (analytic) = 5.8896250273022574485958466442854 y[1] (numeric) = 5.8896250273022574485958466442846 absolute error = 8e-31 relative error = 1.3583207696440395864598471072970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.296 y[1] (analytic) = 5.8915393803345571747852387558232 y[1] (numeric) = 5.8915393803345571747852387558223 absolute error = 9e-31 relative error = 1.5276143328586094700155235652571e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.297 y[1] (analytic) = 5.8934541378274428613669407969213 y[1] (numeric) = 5.8934541378274428613669407969204 absolute error = 9e-31 relative error = 1.5271180176380826390471891333575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.298 y[1] (analytic) = 5.8953692988661570916850547186919 y[1] (numeric) = 5.8953692988661570916850547186911 absolute error = 8e-31 relative error = 1.3569972625020491460459894589275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.299 y[1] (analytic) = 5.8972848625355389032887675537598 y[1] (numeric) = 5.897284862535538903288767553759 absolute error = 8e-31 relative error = 1.3565564809023653417623015474812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.3 y[1] (analytic) = 5.899200827920024703093237603664 y[1] (numeric) = 5.8992008279200247030932376036632 absolute error = 8e-31 relative error = 1.3561158932134011714306263734630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.301 y[1] (analytic) = 5.9011171941036491829431112267361 y[1] (numeric) = 5.9011171941036491829431112267354 absolute error = 7e-31 relative error = 1.1862160621033498617836453193243e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.302 y[1] (analytic) = 5.9030339601700462355777546630144 y[1] (numeric) = 5.9030339601700462355777546630137 absolute error = 7e-31 relative error = 1.1858308875116744070953662485318e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.303 y[1] (analytic) = 5.9049511252024498709972849310374 y[1] (numeric) = 5.9049511252024498709972849310367 absolute error = 7e-31 relative error = 1.1854458828835787584839589912186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.304 y[1] (analytic) = 5.9068686882836951332284834305639 y[1] (numeric) = 5.9068686882836951332284834305631 absolute error = 8e-31 relative error = 1.3543554837892438249149857082420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.305 y[1] (analytic) = 5.9087866484962190174896754853808 y[1] (numeric) = 5.9087866484962190174896754853801 absolute error = 7e-31 relative error = 1.1846763839038753948822552487182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.306 y[1] (analytic) = 5.9107050049220613877536586613972 y[1] (numeric) = 5.9107050049220613877536586613965 absolute error = 7e-31 relative error = 1.1842918897442593764466282411237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.307 y[1] (analytic) = 5.9126237566428658947077622971706 y[1] (numeric) = 5.9126237566428658947077622971699 absolute error = 7e-31 relative error = 1.1839075659322074751978692214898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.308 y[1] (analytic) = 5.9145429027398808941101202868849 y[1] (numeric) = 5.9145429027398808941101202868842 absolute error = 7e-31 relative error = 1.1835234125628350441396035440646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.309 y[1] (analytic) = 5.9164624422939603655412387595818 y[1] (numeric) = 5.9164624422939603655412387595812 absolute error = 6e-31 relative error = 1.0141195111979194843650386202903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.31 y[1] (analytic) = 5.9183823743855648315499399031558 y[1] (numeric) = 5.9183823743855648315499399031551 absolute error = 7e-31 relative error = 1.1827556175308336084136186961280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.311 y[1] (analytic) = 5.9203026980947622771927627872441 y[1] (numeric) = 5.9203026980947622771927627872435 absolute error = 6e-31 relative error = 1.0134616937628688224973925398220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.312 y[1] (analytic) = 5.9222234125012290699659016456898 y[1] (numeric) = 5.9222234125012290699659016456892 absolute error = 6e-31 relative error = 1.0131330046304217822604045597808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.313 y[1] (analytic) = 5.9241445166842508801287616867134 y[1] (numeric) = 5.9241445166842508801287616867128 absolute error = 6e-31 relative error = 1.0128044619948274832871586092609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.314 y[1] (analytic) = 5.9260660097227236014182121073164 y[1] (numeric) = 5.9260660097227236014182121073158 absolute error = 6e-31 relative error = 1.0124760659358122332513368058203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.315 y[1] (analytic) = 5.9279878906951542721526155977389 y[1] (numeric) = 5.9279878906951542721526155977383 absolute error = 6e-31 relative error = 1.0121478165328035312985903979404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.316 y[1] (analytic) = 5.9299101586796619967247132320196 y[1] (numeric) = 5.929910158679661996724713232019 absolute error = 6e-31 relative error = 1.0118197138649304630745020052982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=568.4MB, alloc=4.5MB, time=27.38 TOP MAIN SOLVE Loop x[1] = 4.317 y[1] (analytic) = 5.9318328127539788674824432518491 y[1] (numeric) = 5.9318328127539788674824432518485 absolute error = 6e-31 relative error = 1.0114917580110240959075470493393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.318 y[1] (analytic) = 5.9337558519954508869967718629753 y[1] (numeric) = 5.9337558519954508869967718629747 absolute error = 6e-31 relative error = 1.0111639490496178741445490012551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.319 y[1] (analytic) = 5.9356792754810388907156137764067 y[1] (numeric) = 5.9356792754810388907156137764061 absolute error = 6e-31 relative error = 1.0108362870589480146361300678195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.32 y[1] (analytic) = 5.9376030822873194700029198405699 y[1] (numeric) = 5.9376030822873194700029198405693 absolute error = 6e-31 relative error = 1.0105087721169539023696659254475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.321 y[1] (analytic) = 5.9395272714904858955620087254105 y[1] (numeric) = 5.9395272714904858955620087254098 absolute error = 7e-31 relative error = 1.1785449716848249006218034491326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.322 y[1] (analytic) = 5.9414518421663490412422192351827 y[1] (numeric) = 5.9414518421663490412422192351821 absolute error = 6e-31 relative error = 1.0098541836892686750062605667590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.323 y[1] (analytic) = 5.9433767933903383082279594433532 y[1] (numeric) = 5.9433767933903383082279594433526 absolute error = 6e-31 relative error = 1.0095271103579757332798481450475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.324 y[1] (analytic) = 5.945302124237502549609228460645 y[1] (numeric) = 5.9453021242375025496092284606444 absolute error = 6e-31 relative error = 1.0092001843841556777952331958725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.325 y[1] (analytic) = 5.9472278337825109953326862657791 y[1] (numeric) = 5.9472278337825109953326862657785 absolute error = 6e-31 relative error = 1.0088734058442696737070041548121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.326 y[1] (analytic) = 5.9491539210996541775323466479196 y[1] (numeric) = 5.949153921099654177532346647919 absolute error = 6e-31 relative error = 1.0085467748144844310631783587198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.327 y[1] (analytic) = 5.9510803852628448562389679302064 y[1] (numeric) = 5.9510803852628448562389679302059 absolute error = 5e-31 relative error = 8.4018357614222716783459384146213e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.328 y[1] (analytic) = 5.9530072253456189454672157650634 y[1] (numeric) = 5.9530072253456189454672157650629 absolute error = 5e-31 relative error = 8.3991162965701097872803156207202e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.329 y[1] (analytic) = 5.9549344404211364396796719141944 y[1] (numeric) = 5.9549344404211364396796719141939 absolute error = 5e-31 relative error = 8.3963980628582656257882456064316e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.33 y[1] (analytic) = 5.9568620295621823406267625493371 y[1] (numeric) = 5.9568620295621823406267625493366 absolute error = 5e-31 relative error = 8.3936810609116796676275921936521e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.331 y[1] (analytic) = 5.9587899918411675845616792339228 y[1] (numeric) = 5.9587899918411675845616792339223 absolute error = 5e-31 relative error = 8.3909652913528551292976473355070e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.332 y[1] (analytic) = 5.9607183263301299698293653707988 y[1] (numeric) = 5.9607183263301299698293653707983 absolute error = 5e-31 relative error = 8.3882507548018612801325835098416e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.333 y[1] (analytic) = 5.9626470321007350848286405271043 y[1] (numeric) = 5.9626470321007350848286405271038 absolute error = 5e-31 relative error = 8.3855374518763367533594926846849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.334 y[1] (analytic) = 5.9645761082242772363465346742521 y[1] (numeric) = 5.9645761082242772363465346742516 absolute error = 5e-31 relative error = 8.3828253831914928581010624702712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.335 y[1] (analytic) = 5.9665055537716803782639040087605 y[1] (numeric) = 5.9665055537716803782639040087599 absolute error = 6e-31 relative error = 1.0056137459232140270763597396751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.336 y[1] (analytic) = 5.9684353678134990406313996483953 y[1] (numeric) = 5.9684353678134990406313996483948 absolute error = 5e-31 relative error = 8.3774049509925754565663544494632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.337 y[1] (analytic) = 5.9703655494199192591148601277329 y[1] (numeric) = 5.9703655494199192591148601277324 absolute error = 5e-31 relative error = 8.3746965886968177688650075296986e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.338 y[1] (analytic) = 5.9722960976607595048091982478264 y[1] (numeric) = 5.972296097660759504809198247826 absolute error = 4e-31 relative error = 6.6975915704627031841028299622328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.339 y[1] (analytic) = 5.9742270116054716144198524661688 y[1] (numeric) = 5.9742270116054716144198524661684 absolute error = 4e-31 relative error = 6.6954268597923067925366970663317e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.34 y[1] (analytic) = 5.9761582903231417208108726455763 y[1] (numeric) = 5.9761582903231417208108726455759 absolute error = 4e-31 relative error = 6.6932631394268386139560616569141e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.341 y[1] (analytic) = 5.9780899328824911839187096139856 y[1] (numeric) = 5.9780899328824911839187096139852 absolute error = 4e-31 relative error = 6.6911004098449489296838112367496e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.342 y[1] (analytic) = 5.9800219383518775220307776214524 y[1] (numeric) = 5.980021938351877522030777621452 absolute error = 4e-31 relative error = 6.6889386715233673838820816542485e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.343 y[1] (analytic) = 5.9819543057992953434278584158661 y[1] (numeric) = 5.9819543057992953434278584158657 absolute error = 4e-31 relative error = 6.6867779249369056392452221420820e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.344 y[1] (analytic) = 5.9838870342923772783894152950549 y[1] (numeric) = 5.9838870342923772783894152950545 absolute error = 4e-31 relative error = 6.6846181705584600332914114231216e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=572.2MB, alloc=4.5MB, time=27.57 TOP MAIN SOLVE Loop x[1] = 4.345 y[1] (analytic) = 5.985820122898394911560885130044 y[1] (numeric) = 5.9858201228983949115608851300436 absolute error = 4e-31 relative error = 6.6824594088590142352374719722716e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.346 y[1] (analytic) = 5.9877535706842597146820159922536 y[1] (numeric) = 5.9877535706842597146820159922532 absolute error = 4e-31 relative error = 6.6803016403076419034414753857963e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.347 y[1] (analytic) = 5.9896873767165239796753176563761 y[1] (numeric) = 5.9896873767165239796753176563756 absolute error = 5e-31 relative error = 8.3476810817143866792472220491333e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.348 y[1] (analytic) = 5.9916215400613817520936918905594 y[1] (numeric) = 5.991621540061381752093691890559 absolute error = 4e-31 relative error = 6.6759890845158781662691688112954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.349 y[1] (analytic) = 5.9935560597846697649263090863458 y[1] (numeric) = 5.9935560597846697649263090863453 absolute error = 5e-31 relative error = 8.3422928727551349349260845132995e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.35 y[1] (analytic) = 5.9954909349518683727617974225641 y[1] (numeric) = 5.9954909349518683727617974225637 absolute error = 4e-31 relative error = 6.6716805068976588885811367734760e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.351 y[1] (analytic) = 5.9974261646281024863078104000681 y[1] (numeric) = 5.9974261646281024863078104000677 absolute error = 4e-31 relative error = 6.6695277110560944726933410869158e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.352 y[1] (analytic) = 5.9993617478781425072660382278274 y[1] (numeric) = 5.999361747878142507266038227827 absolute error = 4e-31 relative error = 6.6673759111370841296443154538896e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.353 y[1] (analytic) = 6.0012976837664052635617281854403 y[1] (numeric) = 6.0012976837664052635617281854399 absolute error = 4e-31 relative error = 6.6652251075964058946539560345971e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.354 y[1] (analytic) = 6.0032339713569549449267787326246 y[1] (numeric) = 6.0032339713569549449267787326242 absolute error = 4e-31 relative error = 6.6630753008879490702309930852804e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.355 y[1] (analytic) = 6.005170609713504038835471782671 y[1] (numeric) = 6.0051706097135040388354717826707 absolute error = 3e-31 relative error = 4.9956948685977876660299622479674e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.356 y[1] (analytic) = 6.0071075978994142667919072042046 y[1] (numeric) = 6.0071075978994142667919072042043 absolute error = 3e-31 relative error = 4.9940840098303718783882519137612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.357 y[1] (analytic) = 6.0090449349776975209682032638973 y[1] (numeric) = 6.009044934977697520968203263897 absolute error = 3e-31 relative error = 4.9924738996998937476683804098892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.358 y[1] (analytic) = 6.0109826200110168011925263720101 y[1] (numeric) = 6.0109826200110168011925263720099 absolute error = 2e-31 relative error = 3.3272430256940826797909970293187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.359 y[1] (analytic) = 6.0129206520616871522860131428128 y[1] (numeric) = 6.0129206520616871522860131428126 absolute error = 2e-31 relative error = 3.3261706177916179171577443342740e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.36 y[1] (analytic) = 6.0148590301916766017476474330366 y[1] (numeric) = 6.0148590301916766017476474330364 absolute error = 2e-31 relative error = 3.3250987096471746202935270030207e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.361 y[1] (analytic) = 6.0167977534626070977861546735621 y[1] (numeric) = 6.0167977534626070977861546735619 absolute error = 2e-31 relative error = 3.3240273014811241532352489822950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.362 y[1] (analytic) = 6.0187368209357554476979754625255 y[1] (numeric) = 6.0187368209357554476979754625253 absolute error = 2e-31 relative error = 3.3229563935129041665436174422482e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.363 y[1] (analytic) = 6.0206762316720542565903800419478 y[1] (numeric) = 6.0206762316720542565903800419476 absolute error = 2e-31 relative error = 3.3218859859610199296941674587801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.364 y[1] (analytic) = 6.0226159847320928664487849348509 y[1] (numeric) = 6.0226159847320928664487849348507 absolute error = 2e-31 relative error = 3.3208160790430456636174201630898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.365 y[1] (analytic) = 6.0245560791761182955473326756223 y[1] (numeric) = 6.0245560791761182955473326756221 absolute error = 2e-31 relative error = 3.3197466729756258733809031518045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.366 y[1] (analytic) = 6.0264965140640361782017952231266 y[1] (numeric) = 6.0264965140640361782017952231264 absolute error = 2e-31 relative error = 3.3186777679744766810057845146087e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.367 y[1] (analytic) = 6.0284372884554117048638613037391 y[1] (numeric) = 6.0284372884554117048638613037389 absolute error = 2e-31 relative error = 3.3176093642543871584108943796996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.368 y[1] (analytic) = 6.030378401409470562555867590092 y[1] (numeric) = 6.0303784014094705625558675900919 absolute error = 1e-31 relative error = 1.6582707310146103302384652002366e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.369 y[1] (analytic) = 6.0323198519850998756450332808814 y[1] (numeric) = 6.0323198519850998756450332808813 absolute error = 1e-31 relative error = 1.6577370307559580791118330547182e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.37 y[1] (analytic) = 6.0342616392408491469562573075772 y[1] (numeric) = 6.034261639240849146956257307577 absolute error = 2e-31 relative error = 3.3144071629144895720930035472915e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.371 y[1] (analytic) = 6.0362037622349311992225370553189 y[1] (numeric) = 6.0362037622349311992225370553187 absolute error = 2e-31 relative error = 3.3133407664480351053307340362903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.372 y[1] (analytic) = 6.0381462200252231168720671476562 y[1] (numeric) = 6.038146220025223116872067147656 absolute error = 2e-31 relative error = 3.3122748723227265774598934071425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=576.0MB, alloc=4.5MB, time=27.75 TOP MAIN SOLVE Loop x[1] = 4.373 y[1] (analytic) = 6.0400890116692671881510765081139 y[1] (numeric) = 6.0400890116692671881510765081137 absolute error = 2e-31 relative error = 3.3112094807478187578386204078446e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.374 y[1] (analytic) = 6.042032136224271847581461575823 y[1] (numeric) = 6.0420321362242718475814615758228 absolute error = 2e-31 relative error = 3.3101445919316486992954494205999e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.375 y[1] (analytic) = 6.0439755927471126187522732176629 y[1] (numeric) = 6.0439755927471126187522732176627 absolute error = 2e-31 relative error = 3.3090802060816370718349909893881e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.376 y[1] (analytic) = 6.0459193802943330574441145455071 y[1] (numeric) = 6.0459193802943330574441145455069 absolute error = 2e-31 relative error = 3.3080163234042894964069760155503e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.377 y[1] (analytic) = 6.0478634979221456950855065142522 y[1] (numeric) = 6.0478634979221456950855065142519 absolute error = 3e-31 relative error = 4.9604294161577968180974927177555e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.378 y[1] (analytic) = 6.0498079446864329825402778443436 y[1] (numeric) = 6.0498079446864329825402778443434 absolute error = 2e-31 relative error = 3.3058900683890417431746205165689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.379 y[1] (analytic) = 6.0517527196427482342250354814876 y[1] (numeric) = 6.0517527196427482342250354814874 absolute error = 2e-31 relative error = 3.3048276964595895666639526587298e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.38 y[1] (analytic) = 6.0536978218463165725557714761559 y[1] (numeric) = 6.0536978218463165725557714761557 absolute error = 2e-31 relative error = 3.3037658285197001126429909318082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.381 y[1] (analytic) = 6.055643250352035872722661836357 y[1] (numeric) = 6.0556432503520358727226618363567 absolute error = 3e-31 relative error = 4.9540566971569856475773722182989e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.382 y[1] (analytic) = 6.0575890042144777077921125789518 y[1] (numeric) = 6.0575890042144777077921125789515 absolute error = 3e-31 relative error = 4.9524654081232557934935783202632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.383 y[1] (analytic) = 6.0595350824878882941351078775485 y[1] (numeric) = 6.0595350824878882941351078775482 absolute error = 3e-31 relative error = 4.9508748759785670471479998515009e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.384 y[1] (analytic) = 6.0614814842261894371809148787056 y[1] (numeric) = 6.0614814842261894371809148787053 absolute error = 3e-31 relative error = 4.9492851010217692827900748508582e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.385 y[1] (analytic) = 6.0634282084829794774951994328176 y[1] (numeric) = 6.0634282084829794774951994328173 absolute error = 3e-31 relative error = 4.9476960835503578095241469357998e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.386 y[1] (analytic) = 6.0653752543115342371816066616471 y[1] (numeric) = 6.0653752543115342371816066616468 absolute error = 3e-31 relative error = 4.9461078238604753723413483429598e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.387 y[1] (analytic) = 6.0673226207648079666058599610007 y[1] (numeric) = 6.0673226207648079666058599610004 absolute error = 3e-31 relative error = 4.9445203222469141531328337617165e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.388 y[1] (analytic) = 6.0692703068954342914414317145292 y[1] (numeric) = 6.0692703068954342914414317145289 absolute error = 3e-31 relative error = 4.9429335790031177716742285273903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.389 y[1] (analytic) = 6.0712183117557271600358386730597 y[1] (numeric) = 6.0712183117557271600358386730594 absolute error = 3e-31 relative error = 4.9413475944211832865711878319062e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.39 y[1] (analytic) = 6.0731666343976817910966146332443 y[1] (numeric) = 6.0731666343976817910966146332439 absolute error = 4e-31 relative error = 6.5863498250558175948746622207591e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.391 y[1] (analytic) = 6.0751152738729756216960127296299 y[1] (numeric) = 6.0751152738729756216960127296296 absolute error = 3e-31 relative error = 4.9381779024045674393251732237819e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.392 y[1] (analytic) = 6.0770642292329692555934893355283 y[1] (numeric) = 6.0770642292329692555934893355279 absolute error = 4e-31 relative error = 6.5821255940631538617440953291420e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.393 y[1] (analytic) = 6.0790134995287074118750212502784 y[1] (numeric) = 6.079013499528707411875021250278 absolute error = 4e-31 relative error = 6.5800149980093171858086822791582e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.394 y[1] (analytic) = 6.0809630838109198739083075336662 y[1] (numeric) = 6.0809630838109198739083075336658 absolute error = 4e-31 relative error = 6.5779054154251055777940002500208e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.395 y[1] (analytic) = 6.0829129811300224386129070323766 y[1] (numeric) = 6.0829129811300224386129070323761 absolute error = 5e-31 relative error = 8.2197460583615816437918885142142e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.396 y[1] (analytic) = 6.08486319053611786604436232842 y[1] (numeric) = 6.0848631905361178660443623284196 absolute error = 4e-31 relative error = 6.5736892921787659328850819001302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.397 y[1] (analytic) = 6.0868137110789968292913605254898 y[1] (numeric) = 6.0868137110789968292913605254893 absolute error = 5e-31 relative error = 8.2144784403360036147048784330546e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.398 y[1] (analytic) = 6.0887645418081388646849809761663 y[1] (numeric) = 6.0887645418081388646849809761659 absolute error = 4e-31 relative error = 6.5694772273328002440042843063835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.399 y[1] (analytic) = 6.0907156817727133223190797408025 y[1] (numeric) = 6.0907156817727133223190797408021 absolute error = 4e-31 relative error = 6.5673727177424133005373126517665e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.4 y[1] (analytic) = 6.0926671300215803168808602577823 y[1] (numeric) = 6.0926671300215803168808602577819 absolute error = 4e-31 relative error = 6.5652692238675312973713663545438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=579.8MB, alloc=4.5MB, time=27.94 TOP MAIN SOLVE Loop x[1] = 4.401 y[1] (analytic) = 6.0946188856032916787906793946629 y[1] (numeric) = 6.0946188856032916787906793946625 absolute error = 4e-31 relative error = 6.5631667460762800618625524400812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.402 y[1] (analytic) = 6.0965709475660919056501377404732 y[1] (numeric) = 6.0965709475660919056501377404728 absolute error = 4e-31 relative error = 6.5610652847350246787621589700927e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.403 y[1] (analytic) = 6.0985233149579191139975026911574 y[1] (numeric) = 6.0985233149579191139975026911569 absolute error = 5e-31 relative error = 8.1987060502604651950353321896411e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.404 y[1] (analytic) = 6.1004759868264059913695125728194 y[1] (numeric) = 6.100475986826405991369512572819 absolute error = 4e-31 relative error = 6.5568654128591740903886980539709e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.405 y[1] (analytic) = 6.1024289622188807486686097410453 y[1] (numeric) = 6.1024289622188807486686097410449 absolute error = 4e-31 relative error = 6.5547670030485293326425515464854e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.406 y[1] (analytic) = 6.1043822401823680728346502891471 y[1] (numeric) = 6.1043822401823680728346502891467 absolute error = 4e-31 relative error = 6.5526696111357866526875599573080e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.407 y[1] (analytic) = 6.1063358197635900798201376937003 y[1] (numeric) = 6.1063358197635900798201376936999 absolute error = 4e-31 relative error = 6.5505732374785474042606201772302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.408 y[1] (analytic) = 6.1082897000089672678680274222193 y[1] (numeric) = 6.1082897000089672678680274222189 absolute error = 4e-31 relative error = 6.5484778824326681893788327163126e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.409 y[1] (analytic) = 6.1102438799646194710911492252461 y[1] (numeric) = 6.1102438799646194710911492252457 absolute error = 4e-31 relative error = 6.5463835463522635224684585446299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.41 y[1] (analytic) = 6.1121983586763668133522935335094 y[1] (numeric) = 6.1121983586763668133522935335089 absolute error = 5e-31 relative error = 8.1803627869871356177115455287770e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.411 y[1] (analytic) = 6.1141531351897306624440080801469 y[1] (numeric) = 6.1141531351897306624440080801464 absolute error = 5e-31 relative error = 8.1777474156195517935019348134368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.412 y[1] (analytic) = 6.1161082085499345845671505682746 y[1] (numeric) = 6.1161082085499345845671505682741 absolute error = 5e-31 relative error = 8.1751333192737082218549496564319e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.413 y[1] (analytic) = 6.1180635778019052991072429054286 y[1] (numeric) = 6.1180635778019052991072429054282 absolute error = 4e-31 relative error = 6.5380163987068567208887177233641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.414 y[1] (analytic) = 6.1200192419902736337076722286062 y[1] (numeric) = 6.1200192419902736337076722286058 absolute error = 4e-31 relative error = 6.5359271627047558916228062779689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.415 y[1] (analytic) = 6.1219752001593754796387836467832 y[1] (numeric) = 6.1219752001593754796387836467827 absolute error = 5e-31 relative error = 8.1672986846954775077777922826095e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.416 y[1] (analytic) = 6.1239314513532527474619093318959 y[1] (numeric) = 6.1239314513532527474619093318954 absolute error = 5e-31 relative error = 8.1646896927546619159340559574827e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.417 y[1] (analytic) = 6.1258879946156543229873782943378 y[1] (numeric) = 6.1258879946156543229873782943373 absolute error = 5e-31 relative error = 8.1620819779838401899577528186893e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.418 y[1] (analytic) = 6.1278448289900370235255508850399 y[1] (numeric) = 6.1278448289900370235255508850394 absolute error = 5e-31 relative error = 8.1594755408062067726449107850934e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.419 y[1] (analytic) = 6.1298019535195665544299217731815 y[1] (numeric) = 6.129801953519566554429921773181 absolute error = 5e-31 relative error = 8.1568703816428117740329160108523e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.42 y[1] (analytic) = 6.1317593672471184659313348565068 y[1] (numeric) = 6.1317593672471184659313348565063 absolute error = 5e-31 relative error = 8.1542665009125642962464957719128e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.421 y[1] (analytic) = 6.1337170692152791102623532701127 y[1] (numeric) = 6.1337170692152791102623532701122 absolute error = 5e-31 relative error = 8.1516638990322357577687929615827e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.422 y[1] (analytic) = 6.135675058466346599070827369418 y[1] (numeric) = 6.1356750584663465990708273694175 absolute error = 5e-31 relative error = 8.1490625764164632171224782134765e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.423 y[1] (analytic) = 6.1376333340423317611217032738248 y[1] (numeric) = 6.1376333340423317611217032738243 absolute error = 5e-31 relative error = 8.1464625334777526959458986335144e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.424 y[1] (analytic) = 6.1395918949849591002861142693442 y[1] (numeric) = 6.1395918949849591002861142693437 absolute error = 5e-31 relative error = 8.1438637706264825014493150164478e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.425 y[1] (analytic) = 6.1415507403356677538167970811741 y[1] (numeric) = 6.1415507403356677538167970811736 absolute error = 5e-31 relative error = 8.1412662882709065482363322463342e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.426 y[1] (analytic) = 6.1435098691356124509088747408937 y[1] (numeric) = 6.1435098691356124509088747408932 absolute error = 5e-31 relative error = 8.1386700868171576794756803342045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.427 y[1] (analytic) = 6.1454692804256644715450474875701 y[1] (numeric) = 6.1454692804256644715450474875696 absolute error = 5e-31 relative error = 8.1360751666692509874085562296072e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.428 y[1] (analytic) = 6.1474289732464126056242328576675 y[1] (numeric) = 6.1474289732464126056242328576671 absolute error = 4e-31 relative error = 6.5067852225832697065414313243944e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=583.6MB, alloc=4.5MB, time=28.13 TOP MAIN SOLVE Loop x[1] = 4.429 y[1] (analytic) = 6.1493889466381641123726958351986 y[1] (numeric) = 6.1493889466381641123726958351981 absolute error = 5e-31 relative error = 8.1308891718964556659571447577712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.43 y[1] (analytic) = 6.1513491996409456800367096510664 y[1] (numeric) = 6.1513491996409456800367096510659 absolute error = 5e-31 relative error = 8.1282980980690383413871358315631e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.431 y[1] (analytic) = 6.1533097312945043858557875390184 y[1] (numeric) = 6.1533097312945043858557875390179 absolute error = 5e-31 relative error = 8.1257083071424124392677597854218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.432 y[1] (analytic) = 6.1552705406383086563155254750587 y[1] (numeric) = 6.1552705406383086563155254750583 absolute error = 4e-31 relative error = 6.4984958396080432644229082658870e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.433 y[1] (analytic) = 6.1572316267115492276790956475572 y[1] (numeric) = 6.1572316267115492276790956475568 absolute error = 4e-31 relative error = 6.4964260604506732347528505216985e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.434 y[1] (analytic) = 6.1591929885531401067964301266412 y[1] (numeric) = 6.1591929885531401067964301266408 absolute error = 4e-31 relative error = 6.4943573085532468632516699620766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.435 y[1] (analytic) = 6.1611546252017195321901339237665 y[1] (numeric) = 6.1611546252017195321901339237661 absolute error = 4e-31 relative error = 6.4922895842255181807301499752976e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.436 y[1] (analytic) = 6.1631165356956509354171663556354 y[1] (numeric) = 6.1631165356956509354171663556349 absolute error = 5e-31 relative error = 8.1127786097194636238232799788679e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.437 y[1] (analytic) = 6.1650787190730239027053293508587 y[1] (numeric) = 6.1650787190730239027053293508582 absolute error = 5e-31 relative error = 8.1101965243872763270197658726061e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.438 y[1] (analytic) = 6.1670411743716551368636010629558 y[1] (numeric) = 6.1670411743716551368636010629554 absolute error = 4e-31 relative error = 6.4860925797330196930787245747666e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.439 y[1] (analytic) = 6.1690039006290894194653528794378 y[1] (numeric) = 6.1690039006290894194653528794373 absolute error = 5e-31 relative error = 8.1050362109353193106778610708221e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.44 y[1] (analytic) = 6.1709668968826005733034876438366 y[1] (numeric) = 6.1709668968826005733034876438362 absolute error = 4e-31 relative error = 6.4819663868569572619574320181841e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.441 y[1] (analytic) = 6.1729301621691924251165366356242 y[1] (numeric) = 6.1729301621691924251165366356238 absolute error = 4e-31 relative error = 6.4799048343588969938763497367945e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.442 y[1] (analytic) = 6.1748936955255997685847525820025 y[1] (numeric) = 6.174893695525599768584752582002 absolute error = 5e-31 relative error = 8.0973053894402400981172097604552e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.443 y[1] (analytic) = 6.1768574959882893275952357055524 y[1] (numeric) = 6.176857495988289327595235705552 absolute error = 4e-31 relative error = 6.4757848187333081699730266370067e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.444 y[1] (analytic) = 6.1788215625934607197751295426975 y[1] (numeric) = 6.1788215625934607197751295426971 absolute error = 4e-31 relative error = 6.4737263561970617880458650887888e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.445 y[1] (analytic) = 6.1807858943770474202919229998637 y[1] (numeric) = 6.1807858943770474202919229998634 absolute error = 3e-31 relative error = 4.8537516931774672221561154480084e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.446 y[1] (analytic) = 6.1827504903747177259198948471168 y[1] (numeric) = 6.1827504903747177259198948471164 absolute error = 4e-31 relative error = 6.4696125231435178791672034478201e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.447 y[1] (analytic) = 6.1847153496218757193717365829102 y[1] (numeric) = 6.1847153496218757193717365829098 absolute error = 4e-31 relative error = 6.4675571532076315195296441437883e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.448 y[1] (analytic) = 6.186680471153662233894389338404 y[1] (numeric) = 6.1866804711536622338943893384035 absolute error = 5e-31 relative error = 8.0818785183965128838153170994322e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.449 y[1] (analytic) = 6.188645854004955818128130225595 y[1] (numeric) = 6.1886458540049558181281302255946 absolute error = 4e-31 relative error = 6.4634495079588647471114773974026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.45 y[1] (analytic) = 6.1906114972103737012279432702555 y[1] (numeric) = 6.1906114972103737012279432702551 absolute error = 4e-31 relative error = 6.4613972332175720683807639059766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.451 y[1] (analytic) = 6.1925773998042727582462098083872 y[1] (numeric) = 6.1925773998042727582462098083868 absolute error = 4e-31 relative error = 6.4593459907766788630382112709784e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.452 y[1] (analytic) = 6.1945435608207504757757529635822 y[1] (numeric) = 6.1945435608207504757757529635818 absolute error = 4e-31 relative error = 6.4572957809179037261603933643136e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.453 y[1] (analytic) = 6.1965099792936459178522705623267 y[1] (numeric) = 6.1965099792936459178522705623262 absolute error = 5e-31 relative error = 8.0690582549016748678645123379762e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.454 y[1] (analytic) = 6.198476654256540692115190584894 y[1] (numeric) = 6.1984766542565406921151905848936 absolute error = 4e-31 relative error = 6.4531984600654578831778440000398e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.455 y[1] (analytic) = 6.200443584742759916225982991054 y[1] (numeric) = 6.2004435847427599162259829910536 absolute error = 4e-31 relative error = 6.4511513496271081246547524526719e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.456 y[1] (analytic) = 6.2024107697853731845429615023649 y[1] (numeric) = 6.2024107697853731845429615023645 absolute error = 4e-31 relative error = 6.4491052728815236026790525949314e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=587.4MB, alloc=4.5MB, time=28.31 TOP MAIN SOLVE Loop x[1] = 4.457 y[1] (analytic) = 6.2043782084171955350516086663287 y[1] (numeric) = 6.2043782084171955350516086663284 absolute error = 3e-31 relative error = 4.8352951725767418663695341432256e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.458 y[1] (analytic) = 6.2063458996707884165494572721648 y[1] (numeric) = 6.2063458996707884165494572721645 absolute error = 3e-31 relative error = 4.8337621661711330811820404922344e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.459 y[1] (analytic) = 6.2083138425784606560845609334001 y[1] (numeric) = 6.2083138425784606560845609333998 absolute error = 3e-31 relative error = 4.8322299356471136822844457870558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.46 y[1] (analytic) = 6.2102820361722694266465863988873 y[1] (numeric) = 6.210282036172269426646586398887 absolute error = 3e-31 relative error = 4.8306984812062758211163566455495e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.461 y[1] (analytic) = 6.2122504794840212151095599012386 y[1] (numeric) = 6.2122504794840212151095599012383 absolute error = 3e-31 relative error = 4.8291678030490084384120428321718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.462 y[1] (analytic) = 6.2142191715452727904252996000092 y[1] (numeric) = 6.2142191715452727904252996000089 absolute error = 3e-31 relative error = 4.8276379013744992372034554842439e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.463 y[1] (analytic) = 6.2161881113873321720665659262796 y[1] (numeric) = 6.2161881113873321720665659262792 absolute error = 4e-31 relative error = 6.4348117018409822068344058775614e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.464 y[1] (analytic) = 6.2181572980412595987189613855655 y[1] (numeric) = 6.2181572980412595987189613855652 absolute error = 3e-31 relative error = 4.8245804282645118360179590578286e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.465 y[1] (analytic) = 6.2201267305378684972206111272388 y[1] (numeric) = 6.2201267305378684972206111272385 absolute error = 3e-31 relative error = 4.8230528572214206008099677058627e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.466 y[1] (analytic) = 6.2220964079077264517486553408565 y[1] (numeric) = 6.2220964079077264517486553408562 absolute error = 3e-31 relative error = 4.8215260634458654176900191696594e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.467 y[1] (analytic) = 6.2240663291811561732515842929891 y[1] (numeric) = 6.2240663291811561732515842929888 absolute error = 3e-31 relative error = 4.8200000471310573715432012570801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.468 y[1] (analytic) = 6.2260364933882364691264465722921 y[1] (numeric) = 6.2260364933882364691264465722918 absolute error = 3e-31 relative error = 4.8184748084690181326544398526503e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.469 y[1] (analytic) = 6.228006899558803213139960865694 y[1] (numeric) = 6.2280068995588032131399608656937 absolute error = 3e-31 relative error = 4.8169503476505819246680322726010e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.47 y[1] (analytic) = 6.2299775467224503155925613446698 y[1] (numeric) = 6.2299775467224503155925613446695 absolute error = 3e-31 relative error = 4.8154266648653974917962181768930e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.471 y[1] (analytic) = 6.2319484339085306937244064976356 y[1] (numeric) = 6.2319484339085306937244064976353 absolute error = 3e-31 relative error = 4.8139037603019300652692609379953e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.472 y[1] (analytic) = 6.2339195601461572423623810025355 y[1] (numeric) = 6.2339195601461572423623810025352 absolute error = 3e-31 relative error = 4.8123816341474633290195419296313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.473 y[1] (analytic) = 6.2358909244642038048071199927013 y[1] (numeric) = 6.235890924464203804807119992701 absolute error = 3e-31 relative error = 4.8108602865881013845921997138410e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.474 y[1] (analytic) = 6.23786252589130614395908482904 y[1] (numeric) = 6.2378625258913061439590848290397 absolute error = 3e-31 relative error = 4.8093397178087707152748755714438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.475 y[1] (analytic) = 6.2398343634558629136827192525555 y[1] (numeric) = 6.2398343634558629136827192525553 absolute error = 2e-31 relative error = 3.2052132853288147662927708261284e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.476 y[1] (analytic) = 6.2418064361860366304077145531289 y[1] (numeric) = 6.2418064361860366304077145531287 absolute error = 2e-31 relative error = 3.2042006115493552153908893910120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.477 y[1] (analytic) = 6.2437787431097546449664121533726 y[1] (numeric) = 6.2437787431097546449664121533724 absolute error = 2e-31 relative error = 3.2031884573217387610600895237585e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.478 y[1] (analytic) = 6.2457512832547101146663717702377 y[1] (numeric) = 6.2457512832547101146663717702375 absolute error = 2e-31 relative error = 3.2021768227661224937527252005814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.479 y[1] (analytic) = 6.2477240556483629755971330818867 y[1] (numeric) = 6.2477240556483629755971330818865 absolute error = 2e-31 relative error = 3.2011657080018849642008388307658e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.48 y[1] (analytic) = 6.2496970593179409151701985931512 y[1] (numeric) = 6.249697059317940915170198593151 absolute error = 2e-31 relative error = 3.2001551131476274896093732225415e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.481 y[1] (analytic) = 6.2516702932904403448912651596726 y[1] (numeric) = 6.2516702932904403448912651596725 absolute error = 1e-31 relative error = 1.5995725191605877296473109209538e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.482 y[1] (analytic) = 6.2536437565926273733637313985761 y[1] (numeric) = 6.253643756592627373363731398576 absolute error = 1e-31 relative error = 1.5990677418197898198815571568483e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.483 y[1] (analytic) = 6.2556174482510387795225079822496 y[1] (numeric) = 6.2556174482510387795225079822495 absolute error = 1e-31 relative error = 1.5985632246095587396130767325799e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.484 y[1] (analytic) = 6.2575913672919829860971575815015 y[1] (numeric) = 6.2575913672919829860971575815014 absolute error = 1e-31 relative error = 1.5980589675876472057726197652107e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=591.3MB, alloc=4.5MB, time=28.50 TOP MAIN SOLVE Loop x[1] = 4.485 y[1] (analytic) = 6.2595655127415410333033909950354 y[1] (numeric) = 6.2595655127415410333033909950353 absolute error = 1e-31 relative error = 1.5975549708114225798018182096080e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.486 y[1] (analytic) = 6.2615398836255675527619457738289 y[1] (numeric) = 6.2615398836255675527619457738288 absolute error = 1e-31 relative error = 1.5970512343378675190496771026661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.487 y[1] (analytic) = 6.2635144789696917416438734216182 y[1] (numeric) = 6.2635144789696917416438734216181 absolute error = 1e-31 relative error = 1.5965477582235806278774206045406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.488 y[1] (analytic) = 6.265489297799318337041261026282 y[1] (numeric) = 6.265489297799318337041261026282 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.489 y[1] (analytic) = 6.2674643391396285905624129514858 y[1] (numeric) = 6.2674643391396285905624129514858 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.49 y[1] (analytic) = 6.2694396020155812431505179934839 y[1] (numeric) = 6.2694396020155812431505179934839 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.491 y[1] (analytic) = 6.2714150854519135001248271844955 y[1] (numeric) = 6.2714150854519135001248271844955 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.492 y[1] (analytic) = 6.2733907884731420064433672015567 y[1] (numeric) = 6.2733907884731420064433672015567 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.493 y[1] (analytic) = 6.2753667101035638221862141182168 y[1] (numeric) = 6.2753667101035638221862141182168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.494 y[1] (analytic) = 6.277342849367257398258352015887 y[1] (numeric) = 6.2773428493672573982583520158869 absolute error = 1e-31 relative error = 1.5930307201570133137664322022460e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.495 y[1] (analytic) = 6.2793192052880835523111407520626 y[1] (numeric) = 6.2793192052880835523111407520625 absolute error = 1e-31 relative error = 1.5925293289085498073143978536223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.496 y[1] (analytic) = 6.2812957768896864448814169640348 y[1] (numeric) = 6.2812957768896864448814169640347 absolute error = 1e-31 relative error = 1.5920281985115668101783840230348e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.497 y[1] (analytic) = 6.2832725631954945557472521690695 y[1] (numeric) = 6.2832725631954945557472521690694 absolute error = 1e-31 relative error = 1.5915273290188581417829299238409e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.498 y[1] (analytic) = 6.2852495632287216604993916053789 y[1] (numeric) = 6.2852495632287216604993916053788 absolute error = 1e-31 relative error = 1.5910267204828407108060385673132e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.499 y[1] (analytic) = 6.2872267760123678073273972425267 y[1] (numeric) = 6.2872267760123678073273972425266 absolute error = 1e-31 relative error = 1.5905263729555551626041970727062e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (analytic) = 6.2892042005692202940195181752062 y[1] (numeric) = 6.2892042005692202940195181752061 absolute error = 1e-31 relative error = 1.5900262864886665263160255792903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.501 y[1] (analytic) = 6.2911818359218546451753114006022 y[1] (numeric) = 6.2911818359218546451753114006021 absolute error = 1e-31 relative error = 1.5895264611334648616423342248150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.502 y[1] (analytic) = 6.293159681092635589630035766797 y[1] (numeric) = 6.2931596810926355896300357667969 absolute error = 1e-31 relative error = 1.5890268969408659053003770125084e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.503 y[1] (analytic) = 6.2951377351037180380898416679085 y[1] (numeric) = 6.2951377351037180380898416679084 absolute error = 1e-31 relative error = 1.5885275939614117171501007293571e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.504 y[1] (analytic) = 6.2971159969770480609767788508514 y[1] (numeric) = 6.2971159969770480609767788508513 absolute error = 1e-31 relative error = 1.5880285522452713259901964020271e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.505 y[1] (analytic) = 6.2990944657343638664826444887965 y[1] (numeric) = 6.2990944657343638664826444887964 absolute error = 1e-31 relative error = 1.5875297718422413750217700833534e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.506 y[1] (analytic) = 6.3010731403971967788306934675598 y[1] (numeric) = 6.3010731403971967788306934675597 absolute error = 1e-31 relative error = 1.5870312528017467669774590518194e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.507 y[1] (analytic) = 6.3030520199868722167442326232944 y[1] (numeric) = 6.3030520199868722167442326232943 absolute error = 1e-31 relative error = 1.5865329951728413089138287788444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.508 y[1] (analytic) = 6.305031103524510672121120462971 y[1] (numeric) = 6.3050311035245106721211204629709 absolute error = 1e-31 relative error = 1.5860349990042083566648952739750e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.509 y[1] (analytic) = 6.30701039003102868891319369323 y[1] (numeric) = 6.3070103900310286889131936932299 absolute error = 1e-31 relative error = 1.5855372643441614589546266562101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.51 y[1] (analytic) = 6.3089898785271398422096416782592 y[1] (numeric) = 6.3089898785271398422096416782592 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.511 y[1] (analytic) = 6.3109695680333557175233497434056 y[1] (numeric) = 6.3109695680333557175233497434055 absolute error = 1e-31 relative error = 1.5845425797412348487664948734912e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.512 y[1] (analytic) = 6.3129494575699868902792320382575 y[1] (numeric) = 6.3129494575699868902792320382574 absolute error = 1e-31 relative error = 1.5840456298931389903818775947799e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.5MB, time=28.68 x[1] = 4.513 y[1] (analytic) = 6.3149295461571439055035744709484 y[1] (numeric) = 6.3149295461571439055035744709483 absolute error = 1e-31 relative error = 1.5835489417431981805262125580275e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.514 y[1] (analytic) = 6.316909832814738257713408024419 y[1] (numeric) = 6.3169098328147382577134080244189 absolute error = 1e-31 relative error = 1.5830525153378865819759546874309e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.515 y[1] (analytic) = 6.3188903165624833710049325653465 y[1] (numeric) = 6.3188903165624833710049325653464 absolute error = 1e-31 relative error = 1.5825563507233124077920593686033e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.516 y[1] (analytic) = 6.3208709964198955793400110574 y[1] (numeric) = 6.3208709964198955793400110573999 absolute error = 1e-31 relative error = 1.5820604479452185629860187460527e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.517 y[1] (analytic) = 6.3228518714062951070297538924076 y[1] (numeric) = 6.3228518714062951070297538924075 absolute error = 1e-31 relative error = 1.5815648070489832858280385408919e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.518 y[1] (analytic) = 6.3248329405408070494142128559345 y[1] (numeric) = 6.3248329405408070494142128559344 absolute error = 1e-31 relative error = 1.5810694280796207887952916051150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.519 y[1] (analytic) = 6.3268142028423623537372040476583 y[1] (numeric) = 6.3268142028423623537372040476581 absolute error = 2e-31 relative error = 3.1611486221635637983163869885484e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.52 y[1] (analytic) = 6.3287956573296988002152788818011 y[1] (numeric) = 6.328795657329698800215278881801 absolute error = 1e-31 relative error = 1.5800794560997546992026543885161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.521 y[1] (analytic) = 6.3307773030213619832998620987297 y[1] (numeric) = 6.3307773030213619832998620987296 absolute error = 1e-31 relative error = 1.5795848631774651660862707226625e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.522 y[1] (analytic) = 6.3327591389357062931315755256659 y[1] (numeric) = 6.3327591389357062931315755256658 absolute error = 1e-31 relative error = 1.5790905323584778113264288993351e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.523 y[1] (analytic) = 6.3347411640908958971857661322667 y[1] (numeric) = 6.3347411640908958971857661322667 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.524 y[1] (analytic) = 6.3367233775049057221082567356277 y[1] (numeric) = 6.3367233775049057221082567356277 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.525 y[1] (analytic) = 6.3387057781955224357403375190398 y[1] (numeric) = 6.3387057781955224357403375190398 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.526 y[1] (analytic) = 6.3406883651803454293320163395909 y[1] (numeric) = 6.3406883651803454293320163395909 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.527 y[1] (analytic) = 6.3426711374767877999425456114434 y[1] (numeric) = 6.3426711374767877999425456114434 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.528 y[1] (analytic) = 6.3446540941020773330272433643426 y[1] (numeric) = 6.3446540941020773330272433643426 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.529 y[1] (analytic) = 6.3466372340732574852096258906169 y[1] (numeric) = 6.3466372340732574852096258906168 absolute error = 1e-31 relative error = 1.5756375591018336049453124272578e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.53 y[1] (analytic) = 6.3486205564071883672378692086186 y[1] (numeric) = 6.3486205564071883672378692086185 absolute error = 1e-31 relative error = 1.5751453266344209509385222667088e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.531 y[1] (analytic) = 6.3506040601205477271246163862272 y[1] (numeric) = 6.3506040601205477271246163862271 absolute error = 1e-31 relative error = 1.5746533566462304558862939039155e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.532 y[1] (analytic) = 6.3525877442298319334691475846873 y[1] (numeric) = 6.3525877442298319334691475846872 absolute error = 1e-31 relative error = 1.5741616491772470643384805976110e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.533 y[1] (analytic) = 6.3545716077513569589609295006959 y[1] (numeric) = 6.3545716077513569589609295006958 absolute error = 1e-31 relative error = 1.5736702042671012647091327443159e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.534 y[1] (analytic) = 6.356555649701259364063560703269 y[1] (numeric) = 6.3565556497012593640635607032689 absolute error = 1e-31 relative error = 1.5731790219550697241926487543338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.535 y[1] (analytic) = 6.3585398690954972808781291815259 y[1] (numeric) = 6.3585398690954972808781291815259 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.536 y[1] (analytic) = 6.3605242649498513971849982401153 y[1] (numeric) = 6.3605242649498513971849982401153 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.537 y[1] (analytic) = 6.3625088362799259406630367005782 y[1] (numeric) = 6.3625088362799259406630367005782 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.538 y[1] (analytic) = 6.3644935821011496632853091895011 y[1] (numeric) = 6.3644935821011496632853091895011 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.539 y[1] (analytic) = 6.3664785014287768258902421178501 y[1] (numeric) = 6.3664785014287768258902421178501 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.54 y[1] (analytic) = 6.3684635932778881829272807804022 y[1] (numeric) = 6.3684635932778881829272807804022 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.541 y[1] (analytic) = 6.3704488566633919673760528296989 y[1] (numeric) = 6.3704488566633919673760528296989 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 memory used=598.9MB, alloc=4.5MB, time=28.87 TOP MAIN SOLVE Loop x[1] = 4.542 y[1] (analytic) = 6.3724342906000248758380532054409 y[1] (numeric) = 6.3724342906000248758380532054409 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.543 y[1] (analytic) = 6.3744198941023530537998654277203 y[1] (numeric) = 6.3744198941023530537998654277204 absolute error = 1e-31 relative error = 1.5687702043682520514662334567173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.544 y[1] (analytic) = 6.3764056661847730810669339909524 y[1] (numeric) = 6.3764056661847730810669339909525 absolute error = 1e-31 relative error = 1.5682816501201923007523023392435e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.545 y[1] (analytic) = 6.3783916058615129573669024248151 y[1] (numeric) = 6.3783916058615129573669024248152 absolute error = 1e-31 relative error = 1.5677933588791191359991545521621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.546 y[1] (analytic) = 6.3803777121466330881215314189417 y[1] (numeric) = 6.3803777121466330881215314189418 absolute error = 1e-31 relative error = 1.5673053306801127480543485866299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.547 y[1] (analytic) = 6.3823639840540272703862112395301 y[1] (numeric) = 6.3823639840540272703862112395302 absolute error = 1e-31 relative error = 1.5668175655579077239509155616737e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.548 y[1] (analytic) = 6.3843504205974236789560824984381 y[1] (numeric) = 6.3843504205974236789560824984382 absolute error = 1e-31 relative error = 1.5663300635468936761425918557254e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.549 y[1] (analytic) = 6.386337020790385852637779168727 y[1] (numeric) = 6.3863370207903858526377791687272 absolute error = 2e-31 relative error = 3.1316856493622317426391216881486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.55 y[1] (analytic) = 6.3883237836463136806858075749921 y[1] (numeric) = 6.3883237836463136806858075749922 absolute error = 1e-31 relative error = 1.5653558489942758588029213502943e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.551 y[1] (analytic) = 6.3903107081784443894025749221825 y[1] (numeric) = 6.3903107081784443894025749221827 absolute error = 2e-31 relative error = 3.1297382730394641970322178420049e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.552 y[1] (analytic) = 6.3922977933998535289010807629665 y[1] (numeric) = 6.3922977933998535289010807629667 absolute error = 2e-31 relative error = 3.1287653745810011770630090334887e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.553 y[1] (analytic) = 6.3942850383234559600292846410298 y[1] (numeric) = 6.39428503832345596002928464103 absolute error = 2e-31 relative error = 3.1277930026785109843809473547709e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.554 y[1] (analytic) = 6.3962724419620068414551629860241 y[1] (numeric) = 6.3962724419620068414551629860243 absolute error = 2e-31 relative error = 3.1268211573966595295901753361888e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.555 y[1] (analytic) = 6.39826000332810261691146817519 y[1] (numeric) = 6.3982600033281026169114681751902 absolute error = 2e-31 relative error = 3.1258498387994315597395730836554e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.556 y[1] (analytic) = 6.4002477214341820025992025169777 y[1] (numeric) = 6.4002477214341820025992025169779 absolute error = 2e-31 relative error = 3.1248790469501319099825049323237e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.557 y[1] (analytic) = 6.4022355952925269747488197532736 y[1] (numeric) = 6.4022355952925269747488197532738 absolute error = 2e-31 relative error = 3.1239087819113867543695401126957e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.558 y[1] (analytic) = 6.4042236239152637573381665191142 y[1] (numeric) = 6.4042236239152637573381665191144 absolute error = 2e-31 relative error = 3.1229390437451448557707176651737e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.559 y[1] (analytic) = 6.4062118063143638099661760420273 y[1] (numeric) = 6.4062118063143638099661760420275 absolute error = 2e-31 relative error = 3.1219698325126788149239425554580e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.56 y[1] (analytic) = 6.4082001415016448158813262073901 y[1] (numeric) = 6.4082001415016448158813262073903 absolute error = 2e-31 relative error = 3.1210011482745863186061166237430e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.561 y[1] (analytic) = 6.4101886284887716701638739614274 y[1] (numeric) = 6.4101886284887716701638739614276 absolute error = 2e-31 relative error = 3.1200329910907913869236246453491e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.562 y[1] (analytic) = 6.4121772662872574680608778696989 y[1] (numeric) = 6.4121772662872574680608778696991 absolute error = 2e-31 relative error = 3.1190653610205456197188123892192e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.563 y[1] (analytic) = 6.4141660539084644934730204961343 y[1] (numeric) = 6.4141660539084644934730204961346 absolute error = 3e-31 relative error = 4.6771473871836441631336652003991e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.564 y[1] (analytic) = 6.4161549903636052075922421158778 y[1] (numeric) = 6.416154990363605207592242115878 absolute error = 2e-31 relative error = 3.1171316824543533490154716352003e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.565 y[1] (analytic) = 6.418144074663743237689197124388 y[1] (numeric) = 6.4181440746637432376891971243883 absolute error = 3e-31 relative error = 4.6742484511103387236452225737650e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.566 y[1] (analytic) = 6.420133305819794366049544355423 y[1] (numeric) = 6.4201333058197943660495443554232 absolute error = 2e-31 relative error = 3.1152001130366212073871687623617e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.567 y[1] (analytic) = 6.4221226828425275190580823716984 y[1] (numeric) = 6.4221226828425275190580823716987 absolute error = 3e-31 relative error = 4.6713526790991715309983622969959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.568 y[1] (analytic) = 6.4241122047425657564297406441696 y[1] (numeric) = 6.42411220474256575642974064417 absolute error = 4e-31 relative error = 6.2265413064345635836043054200731e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.569 y[1] (analytic) = 6.4261018705303872605864373890263 y[1] (numeric) = 6.4261018705303872605864373890267 absolute error = 4e-31 relative error = 6.2246134290894060064341494178907e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=602.7MB, alloc=4.5MB, time=29.05 TOP MAIN SOLVE Loop x[1] = 4.57 y[1] (analytic) = 6.4280916792163263261788146856254 y[1] (numeric) = 6.4280916792163263261788146856258 absolute error = 4e-31 relative error = 6.2226866068712566455251122975649e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.571 y[1] (analytic) = 6.4300816298105743497518613537099 y[1] (numeric) = 6.4300816298105743497518613537103 absolute error = 4e-31 relative error = 6.2207608398866270173826209143754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.572 y[1] (analytic) = 6.4320717213231808195534339243724 y[1] (numeric) = 6.4320717213231808195534339243728 absolute error = 4e-31 relative error = 6.2188361282407086274165418114700e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.573 y[1] (analytic) = 6.4340619527640543054846858963254 y[1] (numeric) = 6.4340619527640543054846858963257 absolute error = 3e-31 relative error = 4.6626843540280315821535939468624e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.574 y[1] (analytic) = 6.436052323142963449191415327131 y[1] (numeric) = 6.4360523231429634491914153271314 absolute error = 4e-31 relative error = 6.2149898713791863639107833914444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.575 y[1] (analytic) = 6.4380428314695379542953406681266 y[1] (numeric) = 6.438042831469537954295340668127 absolute error = 4e-31 relative error = 6.2130683263673876928484014274415e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.576 y[1] (analytic) = 6.4400334767532695767643146118501 y[1] (numeric) = 6.4400334767532695767643146118505 absolute error = 4e-31 relative error = 6.2111478371019156015215800281650e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.577 y[1] (analytic) = 6.4420242580035131154204855818372 y[1] (numeric) = 6.4420242580035131154204855818375 absolute error = 3e-31 relative error = 4.6569213027610489475991790582240e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.578 y[1] (analytic) = 6.4440151742294874025854163567082 y[1] (numeric) = 6.4440151742294874025854163567085 absolute error = 3e-31 relative error = 4.6554825196523699881627820718257e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.579 y[1] (analytic) = 6.4460062244402762948611691835114 y[1] (numeric) = 6.4460062244402762948611691835117 absolute error = 3e-31 relative error = 4.6540445285724152473051102932958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.58 y[1] (analytic) = 6.4479974076448296640463665993177 y[1] (numeric) = 6.447997407644829664046366599318 absolute error = 3e-31 relative error = 4.6526073295922249397268380066626e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.581 y[1] (analytic) = 6.4499887228519643881862370450905 y[1] (numeric) = 6.4499887228519643881862370450908 absolute error = 3e-31 relative error = 4.6511709227818659138459392829218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.582 y[1] (analytic) = 6.4519801690703653427556542218664 y[1] (numeric) = 6.4519801690703653427556542218667 absolute error = 3e-31 relative error = 4.6497353082104334938656729964641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.583 y[1] (analytic) = 6.4539717453085863919741790062906 y[1] (numeric) = 6.4539717453085863919741790062909 absolute error = 3e-31 relative error = 4.6483004859460533204162771612537e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.584 y[1] (analytic) = 6.4559634505750513802521126105473 y[1] (numeric) = 6.4559634505750513802521126105476 absolute error = 3e-31 relative error = 4.6468664560558831897658623487878e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.585 y[1] (analytic) = 6.4579552838780551237665695407151 y[1] (numeric) = 6.4579552838780551237665695407154 absolute error = 3e-31 relative error = 4.6454332186061148915960176201019e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.586 y[1] (analytic) = 6.4599472442257644021665787775566 y[1] (numeric) = 6.4599472442257644021665787775569 absolute error = 3e-31 relative error = 4.6440007736619760453376660201310e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.587 y[1] (analytic) = 6.4619393306262189504062214747237 y[1] (numeric) = 6.461939330626218950406221474724 absolute error = 3e-31 relative error = 4.6425691212877319350627302446040e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.588 y[1] (analytic) = 6.463931542087332450704813341324 y[1] (numeric) = 6.4639315420873324507048133413243 absolute error = 3e-31 relative error = 4.6411382615466873429271925973146e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.589 y[1] (analytic) = 6.4659238776168935246331397487476 y[1] (numeric) = 6.4659238776168935246331397487479 absolute error = 3e-31 relative error = 4.6397081945011883811611568090889e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.59 y[1] (analytic) = 6.4679163362225667253247514756035 y[1] (numeric) = 6.4679163362225667253247514756038 absolute error = 3e-31 relative error = 4.6382789202126243226015426890432e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.591 y[1] (analytic) = 6.4699089169118935298113288795506 y[1] (numeric) = 6.4699089169118935298113288795509 absolute error = 3e-31 relative error = 4.6368504387414294297630679237960e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.592 y[1] (analytic) = 6.4719016186922933314811221607433 y[1] (numeric) = 6.4719016186922933314811221607436 absolute error = 3e-31 relative error = 4.6354227501470847824431946311631e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.593 y[1] (analytic) = 6.4738944405710644326594752585336 y[1] (numeric) = 6.4738944405710644326594752585339 absolute error = 3e-31 relative error = 4.6339958544881201038567415115222e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.594 y[1] (analytic) = 6.4758873815553850373104408009882 y[1] (numeric) = 6.4758873815553850373104408009886 absolute error = 4e-31 relative error = 6.1767596690961541137278474966431e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.595 y[1] (analytic) = 6.4778804406523142438584934056895 y[1] (numeric) = 6.4778804406523142438584934056899 absolute error = 4e-31 relative error = 6.1748592562742716124150679076440e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.596 y[1] (analytic) = 6.4798736168687930381293485101878 y[1] (numeric) = 6.4798736168687930381293485101882 absolute error = 4e-31 relative error = 6.1729599009260947618802718253072e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.597 y[1] (analytic) = 6.4818669092116452864088937913716 y[1] (numeric) = 6.4818669092116452864088937913719 absolute error = 3e-31 relative error = 4.6282962023434602002670991456974e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=606.5MB, alloc=4.5MB, time=29.24 TOP MAIN SOLVE Loop x[1] = 4.598 y[1] (analytic) = 6.4838603166875787286192401149041 y[1] (numeric) = 6.4838603166875787286192401149044 absolute error = 3e-31 relative error = 4.6268732722061713764430420210347e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.599 y[1] (analytic) = 6.4858538383031859716108988387607 y[1] (numeric) = 6.485853838303185971610898838761 absolute error = 3e-31 relative error = 4.6254511353355644496092561736497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (analytic) = 6.4878474730649454825700921787708 y[1] (numeric) = 6.4878474730649454825700921787711 absolute error = 3e-31 relative error = 4.6240297917835606542709691404197e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.601 y[1] (analytic) = 6.4898412199792225825402032289371 y[1] (numeric) = 6.4898412199792225825402032289374 absolute error = 3e-31 relative error = 4.6226092416011444239873501140215e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.602 y[1] (analytic) = 6.4918350780522704400563721151654 y[1] (numeric) = 6.4918350780522704400563721151658 absolute error = 4e-31 relative error = 6.1615859797844869387779435095628e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.603 y[1] (analytic) = 6.4938290462902310648922446478916 y[1] (numeric) = 6.493829046290231064892244647892 absolute error = 4e-31 relative error = 6.1596940287257856838001698492779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.604 y[1] (analytic) = 6.495823123699136301917879726939 y[1] (numeric) = 6.4958231236991363019178797269394 absolute error = 4e-31 relative error = 6.1578031356896686683036706974996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.605 y[1] (analytic) = 6.4978173092849088250678216407829 y[1] (numeric) = 6.4978173092849088250678216407833 absolute error = 4e-31 relative error = 6.1559133007391430146265805072702e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.606 y[1] (analytic) = 6.4998116020533631314183432922316 y[1] (numeric) = 6.4998116020533631314183432922321 absolute error = 5e-31 relative error = 7.6925306549199735521383302791072e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.607 y[1] (analytic) = 6.5018060010102065353728662733649 y[1] (numeric) = 6.5018060010102065353728662733653 absolute error = 4e-31 relative error = 6.1521368053407116719165207088062e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.608 y[1] (analytic) = 6.5038005051610401629545636043906 y[1] (numeric) = 6.5038005051610401629545636043911 absolute error = 5e-31 relative error = 7.6878126812658060447450323580589e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.609 y[1] (analytic) = 6.5057951135113599462051508439024 y[1] (numeric) = 6.5057951135113599462051508439029 absolute error = 5e-31 relative error = 7.6854556787623148435209615886515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.61 y[1] (analytic) = 6.5077898250665576176888711718273 y[1] (numeric) = 6.5077898250665576176888711718278 absolute error = 5e-31 relative error = 7.6830999992364736775415841572295e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.611 y[1] (analytic) = 6.5097846388319217051006799411634 y[1] (numeric) = 6.5097846388319217051006799411639 absolute error = 5e-31 relative error = 7.6807456427578090008747084475399e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.612 y[1] (analytic) = 6.5117795538126385259776340904043 y[1] (numeric) = 6.5117795538126385259776340904048 absolute error = 5e-31 relative error = 7.6783926093943190260243505925791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.613 y[1] (analytic) = 6.5137745690137931825124917053449 y[1] (numeric) = 6.5137745690137931825124917053454 absolute error = 5e-31 relative error = 7.6760408992124767170314105724829e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.614 y[1] (analytic) = 6.5157696834403705564685269167513 y[1] (numeric) = 6.5157696834403705564685269167518 absolute error = 5e-31 relative error = 7.6736905122772327799821066233223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.615 y[1] (analytic) = 6.5177648960972563041945652191627 y[1] (numeric) = 6.5177648960972563041945652191632 absolute error = 5e-31 relative error = 7.6713414486520186509178318563339e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.616 y[1] (analytic) = 6.5197602059892378517392441958736 y[1] (numeric) = 6.5197602059892378517392441958741 absolute error = 5e-31 relative error = 7.6689937083987494811401336385599e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.617 y[1] (analytic) = 6.5217556121210053900635045359177 y[1] (numeric) = 6.5217556121210053900635045359182 absolute error = 5e-31 relative error = 7.6666472915778271199045528472199e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.618 y[1] (analytic) = 6.5237511134971528703503161306458 y[1] (numeric) = 6.5237511134971528703503161306463 absolute error = 5e-31 relative error = 7.6643021982481430944970965814051e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.619 y[1] (analytic) = 6.5257467091221789994106439402547 y[1] (numeric) = 6.5257467091221789994106439402553 absolute error = 6e-31 relative error = 9.1943501141604979052245851550776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.62 y[1] (analytic) = 6.5277423980004882351846582243842 y[1] (numeric) = 6.5277423980004882351846582243848 absolute error = 6e-31 relative error = 9.1915391787486268950608443357330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.621 y[1] (analytic) = 6.5297381791363917823371936356538 y[1] (numeric) = 6.5297381791363917823371936356544 absolute error = 6e-31 relative error = 9.1887298317274127815892259243782e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.622 y[1] (analytic) = 6.531734051534108587946461580765 y[1] (numeric) = 6.5317340515341085879464615807656 absolute error = 6e-31 relative error = 9.1859220731603115499409841246511e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.623 y[1] (analytic) = 6.5337300141977663372850201605383 y[1] (numeric) = 6.5337300141977663372850201605389 absolute error = 6e-31 relative error = 9.1831159031089846319717115921527e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.624 y[1] (analytic) = 6.5357260661314024496920059079978 y[1] (numeric) = 6.5357260661314024496920059079985 absolute error = 7e-31 relative error = 1.0710363208572186207245865668745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.625 y[1] (analytic) = 6.5377222063389650745356314523564 y[1] (numeric) = 6.5377222063389650745356314523571 absolute error = 7e-31 relative error = 1.0707093050256572710388398431625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=610.3MB, alloc=4.5MB, time=29.43 TOP MAIN SOLVE Loop x[1] = 4.626 y[1] (analytic) = 6.5397184338243140872649531464845 y[1] (numeric) = 6.5397184338243140872649531464852 absolute error = 7e-31 relative error = 1.0703824745412657198836490946701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.627 y[1] (analytic) = 6.5417147475912220855499126061796 y[1] (numeric) = 6.5417147475912220855499126061803 absolute error = 7e-31 relative error = 1.0700558294104044889930965905223e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.628 y[1] (analytic) = 6.5437111466433753855086560212772 y[1] (numeric) = 6.5437111466433753855086560212779 absolute error = 7e-31 relative error = 1.0697293696392268067907212078329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.629 y[1] (analytic) = 6.5457076299843750180211350113672 y[1] (numeric) = 6.5457076299843750180211350113679 absolute error = 7e-31 relative error = 1.0694030952336790215133957447976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.63 y[1] (analytic) = 6.5477041966177377251279927125974 y[1] (numeric) = 6.5477041966177377251279927125981 absolute error = 7e-31 relative error = 1.0690770061995010139587062190955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.631 y[1] (analytic) = 6.5497008455468969565137386967617 y[1] (numeric) = 6.5497008455468969565137386967624 absolute error = 7e-31 relative error = 1.0687511025422266098550266851196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.632 y[1] (analytic) = 6.5516975757752038660732162395809 y[1] (numeric) = 6.5516975757752038660732162395816 absolute error = 7e-31 relative error = 1.0684253842671839918534880333931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.633 y[1] (analytic) = 6.5536943863059283085603653717916 y[1] (numeric) = 6.5536943863059283085603653717923 absolute error = 7e-31 relative error = 1.0680998513794961111410441528174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.634 y[1] (analytic) = 6.5556912761422598363182850643634 y[1] (numeric) = 6.5556912761422598363182850643641 absolute error = 7e-31 relative error = 1.0677745038840810986738437411429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.635 y[1] (analytic) = 6.5576882442873086960895978178655 y[1] (numeric) = 6.5576882442873086960895978178662 absolute error = 7e-31 relative error = 1.0674493417856526760301209412655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.636 y[1] (analytic) = 6.559685289744106825906119845701 y[1] (numeric) = 6.5596852897441068259061198457017 absolute error = 7e-31 relative error = 1.0671243650887205658818228606289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.637 y[1] (analytic) = 6.5616824115156088520568399616212 y[1] (numeric) = 6.561682411515608852056839961622 absolute error = 8e-31 relative error = 1.2191995129115324595247964550507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.638 y[1] (analytic) = 6.5636796086046930861332102036257 y[1] (numeric) = 6.5636796086046930861332102036265 absolute error = 8e-31 relative error = 1.2188285347615618735800750375664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.639 y[1] (analytic) = 6.5656768800141625221507511490384 y[1] (numeric) = 6.5656768800141625221507511490392 absolute error = 8e-31 relative error = 1.2184577685130833859834537944243e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.64 y[1] (analytic) = 6.5676742247467458337459747992399 y[1] (numeric) = 6.5676742247467458337459747992406 absolute error = 7e-31 relative error = 1.0658263123990326962537821716757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.641 y[1] (analytic) = 6.5696716418050983714476278372137 y[1] (numeric) = 6.5696716418050983714476278372144 absolute error = 7e-31 relative error = 1.0655022627701167117539378121344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.642 y[1] (analytic) = 6.5716691301918031600212579867487 y[1] (numeric) = 6.5716691301918031600212579867494 absolute error = 7e-31 relative error = 1.0651783985654943369263563594739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.643 y[1] (analytic) = 6.5736666889093718958861061288128 y[1] (numeric) = 6.5736666889093718958861061288135 absolute error = 7e-31 relative error = 1.0648547197882587631164792692840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.644 y[1] (analytic) = 6.5756643169602459446033267582895 y[1] (numeric) = 6.5756643169602459446033267582902 absolute error = 7e-31 relative error = 1.0645312264413024527187761620149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.645 y[1] (analytic) = 6.5776620133467973384345392929399 y[1] (numeric) = 6.5776620133467973384345392929406 absolute error = 7e-31 relative error = 1.0642079185273175461826158197048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.646 y[1] (analytic) = 6.579659777071329773969712676122 y[1] (numeric) = 6.5796597770713297739697126761228 absolute error = 8e-31 relative error = 1.2158683383414814498620803066962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.647 y[1] (analytic) = 6.5816576071360796098233856454665 y[1] (numeric) = 6.5816576071360796098233856454672 absolute error = 7e-31 relative error = 1.0635618590080313360796728543879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.648 y[1] (analytic) = 6.5836555025432168643982249713697 y[1] (numeric) = 6.5836555025432168643982249713704 absolute error = 7e-31 relative error = 1.0632391074071163612911559532919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.649 y[1] (analytic) = 6.5856534622948462137149239018319 y[1] (numeric) = 6.5856534622948462137149239018326 absolute error = 7e-31 relative error = 1.0629165412479462592041986661180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.65 y[1] (analytic) = 6.5876514853930079893074429838229 y[1] (numeric) = 6.5876514853930079893074429838237 absolute error = 8e-31 relative error = 1.2143933263225344594248223589714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.651 y[1] (analytic) = 6.5896495708396791761825953660187 y[1] (numeric) = 6.5896495708396791761825953660195 absolute error = 8e-31 relative error = 1.2140251031559191699957191249775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.652 y[1] (analytic) = 6.5916477176367744108429786234062 y[1] (numeric) = 6.591647717636774410842978623407 absolute error = 8e-31 relative error = 1.2136570919278655710845280680483e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.653 y[1] (analytic) = 6.5936459247861469793722550809084 y[1] (numeric) = 6.5936459247861469793722550809092 absolute error = 8e-31 relative error = 1.2132892926396355715940700937058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=614.1MB, alloc=4.5MB, time=29.61 TOP MAIN SOLVE Loop x[1] = 4.654 y[1] (analytic) = 6.5956441912895898155817825508321 y[1] (numeric) = 6.5956441912895898155817825508328 absolute error = 7e-31 relative error = 1.0613064921307330188982464580367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.655 y[1] (analytic) = 6.5976425161488364992175973375902 y[1] (numeric) = 6.5976425161488364992175973375909 absolute error = 7e-31 relative error = 1.0609850386507492763836456510344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.656 y[1] (analytic) = 6.5996408983655622542267513028004 y[1] (numeric) = 6.5996408983655622542267513028011 absolute error = 7e-31 relative error = 1.0606637706202452473248821420244e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.657 y[1] (analytic) = 6.6016393369413849470820047245045 y[1] (numeric) = 6.6016393369413849470820047245052 absolute error = 7e-31 relative error = 1.0603426880395408130383065549221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.658 y[1] (analytic) = 6.6036378308778660851638766258997 y[1] (numeric) = 6.6036378308778660851638766259004 absolute error = 7e-31 relative error = 1.0600217909087607883284726988237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.659 y[1] (analytic) = 6.6056363791765118151990541916146 y[1] (numeric) = 6.6056363791765118151990541916153 absolute error = 7e-31 relative error = 1.0597010792278353229859336232379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.66 y[1] (analytic) = 6.607634980838773921754162833204 y[1] (numeric) = 6.6076349808387739217541628332047 absolute error = 7e-31 relative error = 1.0593805529965003028864393629657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.661 y[1] (analytic) = 6.6096336348660508257838984101747 y[1] (numeric) = 6.6096336348660508257838984101754 absolute error = 7e-31 relative error = 1.0590602122142977506908723678866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.662 y[1] (analytic) = 6.6116323402596885832325230584942 y[1] (numeric) = 6.6116323402596885832325230584949 absolute error = 7e-31 relative error = 1.0587400568805762261452611691098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.663 y[1] (analytic) = 6.6136310960209818836877260251694 y[1] (numeric) = 6.61363109602098188368772602517 absolute error = 6e-31 relative error = 9.0721721742384962226875775154542e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.664 y[1] (analytic) = 6.6156299011511750490858508551174 y[1] (numeric) = 6.615629901151175049085850855118 absolute error = 6e-31 relative error = 9.0694311647571907149355340274868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.665 y[1] (analytic) = 6.6176287546514630324674902251853 y[1] (numeric) = 6.6176287546514630324674902251859 absolute error = 6e-31 relative error = 9.0666917448076274333535487732915e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.666 y[1] (analytic) = 6.619627655522992416782449669806 y[1] (numeric) = 6.6196276555229924167824496698066 absolute error = 6e-31 relative error = 9.0639539143776238327886588098299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.667 y[1] (analytic) = 6.6216266027668624137430813934107 y[1] (numeric) = 6.6216266027668624137430813934113 absolute error = 6e-31 relative error = 9.0612176734533562186332552359833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.668 y[1] (analytic) = 6.6236255953841258627249893163475 y[1] (numeric) = 6.6236255953841258627249893163481 absolute error = 6e-31 relative error = 9.0584830220193631572841254070367e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.669 y[1] (analytic) = 6.625624632375790229714106453683 y[1] (numeric) = 6.6256246323757902297141064536836 absolute error = 6e-31 relative error = 9.0557499600585488831351120182779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.67 y[1] (analytic) = 6.6276237127428186062991456798947 y[1] (numeric) = 6.6276237127428186062991456798953 absolute error = 6e-31 relative error = 9.0530184875521867020980452655997e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.671 y[1] (analytic) = 6.6296228354861307087084248870849 y[1] (numeric) = 6.6296228354861307087084248870855 absolute error = 6e-31 relative error = 9.0502886044799223916466423950420e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.672 y[1] (analytic) = 6.6316219996066038768900674999752 y[1] (numeric) = 6.6316219996066038768900674999759 absolute error = 7e-31 relative error = 1.0555487029289740530274458110911e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.673 y[1] (analytic) = 6.6336212041050740736345792675647 y[1] (numeric) = 6.6336212041050740736345792675654 absolute error = 7e-31 relative error = 1.0552305874306178763768397592602e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.674 y[1] (analytic) = 6.6356204479823368837388022089566 y[1] (numeric) = 6.6356204479823368837388022089573 absolute error = 7e-31 relative error = 1.0549126573579804974572172996743e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.675 y[1] (analytic) = 6.6376197302391485132102465494847 y[1] (numeric) = 6.6376197302391485132102465494854 absolute error = 7e-31 relative error = 1.0545949127079317022861158074495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.676 y[1] (analytic) = 6.6396190498762267885108014428899 y[1] (numeric) = 6.6396190498762267885108014428906 absolute error = 7e-31 relative error = 1.0542773534771533758160718947541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.677 y[1] (analytic) = 6.641618405894252155838825235919 y[1] (numeric) = 6.6416184058942521558388252359197 absolute error = 7e-31 relative error = 1.0539599796621398961597353314607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.678 y[1] (analytic) = 6.6436177972938686804486159933399 y[1] (numeric) = 6.6436177972938686804486159933406 absolute error = 7e-31 relative error = 1.0536427912591985284051196275001e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.679 y[1] (analytic) = 6.6456172230756850460062629639851 y[1] (numeric) = 6.6456172230756850460062629639858 absolute error = 7e-31 relative error = 1.0533257882644498180204054033405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.68 y[1] (analytic) = 6.6476166822402755539808796320554 y[1] (numeric) = 6.6476166822402755539808796320561 absolute error = 7e-31 relative error = 1.0530089706738279838477170105351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.681 y[1] (analytic) = 6.6496161737881811230702189625345 y[1] (numeric) = 6.6496161737881811230702189625351 absolute error = 6e-31 relative error = 9.0230771869978398058739758939606e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=618.0MB, alloc=4.5MB, time=29.80 TOP MAIN SOLVE Loop x[1] = 4.682 y[1] (analytic) = 6.6516156967199102886596714151816 y[1] (numeric) = 6.6516156967199102886596714151822 absolute error = 6e-31 relative error = 9.0203647858951932124929329821001e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.683 y[1] (analytic) = 6.653615250035940202313646268189 y[1] (numeric) = 6.6536152500359402023136462681896 absolute error = 6e-31 relative error = 9.0176539738566794483322633819047e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.684 y[1] (analytic) = 6.6556148327367176312983367602043 y[1] (numeric) = 6.6556148327367176312983367602049 absolute error = 6e-31 relative error = 9.0149447508410942336927249621105e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.685 y[1] (analytic) = 6.6576144438226599581348695280376 y[1] (numeric) = 6.6576144438226599581348695280382 absolute error = 6e-31 relative error = 9.0122371168056529930817359361527e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.686 y[1] (analytic) = 6.6596140822941561801818387869858 y[1] (numeric) = 6.6596140822941561801818387869865 absolute error = 7e-31 relative error = 1.0511119583656993236239141462670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.687 y[1] (analytic) = 6.6616137471515679092462256713249 y[1] (numeric) = 6.6616137471515679092462256713255 absolute error = 6e-31 relative error = 9.0068266154961827331154606277043e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.688 y[1] (analytic) = 6.6636134373952303712217031241318 y[1] (numeric) = 6.6636134373952303712217031241324 absolute error = 6e-31 relative error = 9.0041237481287131915153642734536e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.689 y[1] (analytic) = 6.6656131520254534057533266982169 y[1] (numeric) = 6.6656131520254534057533266982176 absolute error = 7e-31 relative error = 1.0501659547813598798907045107245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.69 y[1] (analytic) = 6.667612890042522465927611603558 y[1] (numeric) = 6.6676128900425224659276116035587 absolute error = 7e-31 relative error = 1.0498509909676771512461797509928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.691 y[1] (analytic) = 6.6696126504466996179869963112417 y[1] (numeric) = 6.6696126504466996179869963112424 absolute error = 7e-31 relative error = 1.0495362125012121318338014065061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.692 y[1] (analytic) = 6.6716124322382245410676929995339 y[1] (numeric) = 6.6716124322382245410676929995346 absolute error = 7e-31 relative error = 1.0492216193756936241115757488666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.693 y[1] (analytic) = 6.6736122344173155269599251043098 y[1] (numeric) = 6.6736122344173155269599251043105 absolute error = 7e-31 relative error = 1.0489072115846691751712402721443e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.694 y[1] (analytic) = 6.6756120559841704798895522136913 y[1] (numeric) = 6.675612055984170479889552213692 absolute error = 7e-31 relative error = 1.0485929891215054639192133167839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.695 y[1] (analytic) = 6.6776118959389679163200825253486 y[1] (numeric) = 6.6776118959389679163200825253493 absolute error = 7e-31 relative error = 1.0482789519793886878383358867859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.696 y[1] (analytic) = 6.6796117532818679647740730645379 y[1] (numeric) = 6.6796117532818679647740730645386 absolute error = 7e-31 relative error = 1.0479651001513249493298938430123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.697 y[1] (analytic) = 6.6816116270130133656729178415579 y[1] (numeric) = 6.6816116270130133656729178415587 absolute error = 8e-31 relative error = 1.1973159241487321618690431835764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.698 y[1] (analytic) = 6.6836115161325304711940241089204 y[1] (numeric) = 6.6836115161325304711940241089211 absolute error = 7e-31 relative error = 1.0473379524084828343377220568867e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.699 y[1] (analytic) = 6.6856114196405302451443768611414 y[1] (numeric) = 6.6856114196405302451443768611421 absolute error = 7e-31 relative error = 1.0470246564788196584407884016491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = 6.6876113365371092628494917036729 y[1] (numeric) = 6.6876113365371092628494917036736 absolute error = 7e-31 relative error = 1.0467115458334406910278239173672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.701 y[1] (analytic) = 6.6896112658223507110567562021047 y[1] (numeric) = 6.6896112658223507110567562021054 absolute error = 7e-31 relative error = 1.0463986204644573394971770074969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.702 y[1] (analytic) = 6.6916112064963253878521598083785 y[1] (numeric) = 6.6916112064963253878521598083791 absolute error = 6e-31 relative error = 8.9664504031183133603615924809118e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.703 y[1] (analytic) = 6.6936111575590927025894124473672 y[1] (numeric) = 6.6936111575590927025894124473679 absolute error = 7e-31 relative error = 1.0457733255232345677078441332251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.704 y[1] (analytic) = 6.6956111180107016758304518347862 y[1] (numeric) = 6.6956111180107016758304518347869 absolute error = 7e-31 relative error = 1.0454609559343305660238012203932e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.705 y[1] (analytic) = 6.6976110868511919392963395860092 y[1] (numeric) = 6.6976110868511919392963395860099 absolute error = 7e-31 relative error = 1.0451487715884937828798862138903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.706 y[1] (analytic) = 6.6996110630805947358275461649793 y[1] (numeric) = 6.69961106308059473582754616498 absolute error = 7e-31 relative error = 1.0448367724769505259770203192552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.707 y[1] (analytic) = 6.7016110456989339193526247130112 y[1] (numeric) = 6.7016110456989339193526247130119 absolute error = 7e-31 relative error = 1.0445249585907512298530491949803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.708 y[1] (analytic) = 6.7036110337062269548642737888956 y[1] (numeric) = 6.7036110337062269548642737888963 absolute error = 7e-31 relative error = 1.0442133299207708371496993356777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.709 y[1] (analytic) = 6.7056110261024859184017890443253 y[1] (numeric) = 6.705611026102485918401789044326 absolute error = 7e-31 relative error = 1.0439018864577091794535327055872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=621.8MB, alloc=4.5MB, time=29.98 TOP MAIN SOLVE Loop x[1] = 4.71 y[1] (analytic) = 6.7076110218877184970389038522753 y[1] (numeric) = 6.707611021887718497038903852276 absolute error = 7e-31 relative error = 1.0435906281920913577104445420422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.711 y[1] (analytic) = 6.7096110200619289888760189005798 y[1] (numeric) = 6.7096110200619289888760189005805 absolute error = 7e-31 relative error = 1.0432795551142681222132532121008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.712 y[1] (analytic) = 6.7116110196251193030358207585586 y[1] (numeric) = 6.7116110196251193030358207585593 absolute error = 7e-31 relative error = 1.0429686672144162521619349573459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.713 y[1] (analytic) = 6.7136110195772899596612894211596 y[1] (numeric) = 6.7136110195772899596612894211603 absolute error = 7e-31 relative error = 1.0426579644825389347960603018540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.714 y[1] (analytic) = 6.7156110189184410899150948326913 y[1] (numeric) = 6.715611018918441089915094832692 absolute error = 7e-31 relative error = 1.0423474469084661440989928265615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.715 y[1] (analytic) = 6.7176110166485734359793823908331 y[1] (numeric) = 6.7176110166485734359793823908338 absolute error = 7e-31 relative error = 1.0420371144818550190734149297146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.716 y[1] (analytic) = 6.7196110117676893510549474312217 y[1] (numeric) = 6.7196110117676893510549474312224 absolute error = 7e-31 relative error = 1.0417269671921902415877490978005e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.717 y[1] (analytic) = 6.7216110032757937993587986935207 y[1] (numeric) = 6.7216110032757937993587986935214 absolute error = 7e-31 relative error = 1.0414170050287844137930471043288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.718 y[1] (analytic) = 6.7236109901728953561191107714954 y[1] (numeric) = 6.7236109901728953561191107714961 absolute error = 7e-31 relative error = 1.0411072279807784351099234350812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.719 y[1] (analytic) = 6.7256109714590072075665655522221 y[1] (numeric) = 6.7256109714590072075665655522228 absolute error = 7e-31 relative error = 1.0407976360371418787851131079855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.72 y[1] (analytic) = 6.7276109461341481509210826531746 y[1] (numeric) = 6.7276109461341481509210826531753 absolute error = 7e-31 relative error = 1.0404882291866733680172379136102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.721 y[1] (analytic) = 6.7296109131983435943729388705404 y[1] (numeric) = 6.7296109131983435943729388705411 absolute error = 7e-31 relative error = 1.0401790074180009516513689484335e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.722 y[1] (analytic) = 6.7316108716516265570572766577307 y[1] (numeric) = 6.7316108716516265570572766577313 absolute error = 6e-31 relative error = 8.9131711775964212523598041216855e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.723 y[1] (analytic) = 6.7336108204940386690210016596588 y[1] (numeric) = 6.7336108204940386690210016596594 absolute error = 6e-31 relative error = 8.9105238778260512304331486812490e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.724 y[1] (analytic) = 6.7356107587256311711810693359734 y[1] (numeric) = 6.7356107587256311711810693359741 absolute error = 7e-31 relative error = 1.0392524524864900196106952108276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.725 y[1] (analytic) = 6.7376106853464659152731607150427 y[1] (numeric) = 6.7376106853464659152731607150434 absolute error = 7e-31 relative error = 1.0389439709278841073606701803284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.726 y[1] (analytic) = 6.7396105993566163637897473300967 y[1] (numeric) = 6.7396105993566163637897473300973 absolute error = 6e-31 relative error = 8.9025914947857346072204400953612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.727 y[1] (analytic) = 6.7416104997561685899065453995472 y[1] (numeric) = 6.7416104997561685899065453995478 absolute error = 6e-31 relative error = 8.8999505388467766700032597034580e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.728 y[1] (analytic) = 6.7436103855452222773963593251139 y[1] (numeric) = 6.7436103855452222773963593251146 absolute error = 7e-31 relative error = 1.0380196363366933408467321107756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.729 y[1] (analytic) = 6.7456102557238917205293145939965 y[1] (numeric) = 6.7456102557238917205293145939972 absolute error = 7e-31 relative error = 1.0377118947926541526916026208759e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.73 y[1] (analytic) = 6.7476101092923068239584801849428 y[1] (numeric) = 6.7476101092923068239584801849435 absolute error = 7e-31 relative error = 1.0374043382204494282723873742468e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.731 y[1] (analytic) = 6.7496099452506141025898805926749 y[1] (numeric) = 6.7496099452506141025898805926756 absolute error = 7e-31 relative error = 1.0370969666070220409477445457021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.732 y[1] (analytic) = 6.7516097625989776814358976007435 y[1] (numeric) = 6.7516097625989776814358976007442 absolute error = 7e-31 relative error = 1.0367897799391483937894712695663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.733 y[1] (analytic) = 6.7536095603375802954510619494928 y[1] (numeric) = 6.7536095603375802954510619494935 absolute error = 7e-31 relative error = 1.0364827782034387900718598278993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.734 y[1] (analytic) = 6.7556093374666242893492350634271 y[1] (numeric) = 6.7556093374666242893492350634278 absolute error = 7e-31 relative error = 1.0361759613863378033248371790231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.735 y[1] (analytic) = 6.7576090929863326174011810208808 y[1] (numeric) = 6.7576090929863326174011810208815 absolute error = 7e-31 relative error = 1.0358693294741246469505283257204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.736 y[1] (analytic) = 6.7596088258969498432115289685032 y[1] (numeric) = 6.759608825896949843211528968504 absolute error = 8e-31 relative error = 1.1835004370890440496033002229249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.737 y[1] (analytic) = 6.7616085351987431394741262036796 y[1] (numeric) = 6.7616085351987431394741262036803 absolute error = 7e-31 relative error = 1.0352566203086540929300463629228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=625.6MB, alloc=4.5MB, time=30.16 TOP MAIN SOLVE Loop x[1] = 4.738 y[1] (analytic) = 6.763608219892003287704782169617 y[1] (numeric) = 6.7636082198920032877047821696177 absolute error = 7e-31 relative error = 1.0349505430271316418790266060059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.739 y[1] (analytic) = 6.7656078789770456779504036304367 y[1] (numeric) = 6.7656078789770456779504036304374 absolute error = 7e-31 relative error = 1.0346446505939676505624789022991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.74 y[1] (analytic) = 6.767607511454211308473521317219 y[1] (numeric) = 6.7676075114542113084735213172197 absolute error = 7e-31 relative error = 1.0343389429946200606871001279221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.741 y[1] (analytic) = 6.7696071163238677854112083605585 y[1] (numeric) = 6.7696071163238677854112083605593 absolute error = 8e-31 relative error = 1.1817524802450098998210232155597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.742 y[1] (analytic) = 6.7716066925864103224073908507946 y[1] (numeric) = 6.7716066925864103224073908507954 absolute error = 8e-31 relative error = 1.1814035225581605263502273465809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.743 y[1] (analytic) = 6.7736062392422627402175508936887 y[1] (numeric) = 6.7736062392422627402175508936895 absolute error = 8e-31 relative error = 1.1810547760589829044541431422770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.744 y[1] (analytic) = 6.7756057552918784662848225569306 y[1] (numeric) = 6.7756057552918784662848225569314 absolute error = 8e-31 relative error = 1.1807062407301142144629953861017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.745 y[1] (analytic) = 6.777605239735741534286481131459 y[1] (numeric) = 6.7776052397357415342864811314598 absolute error = 8e-31 relative error = 1.1803579165540068503637676579950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.746 y[1] (analytic) = 6.779604691574367583649826161192 y[1] (numeric) = 6.7796046915743675836498261611928 absolute error = 8e-31 relative error = 1.1800098035129288367048203333107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.747 y[1] (analytic) = 6.781604109808304859036458725367 y[1] (numeric) = 6.7816041098083048590364587253678 absolute error = 8e-31 relative error = 1.1796619015889642449969577560157e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.748 y[1] (analytic) = 6.783603493438135209793953489296 y[1] (numeric) = 6.7836034934381352097939534892968 absolute error = 8e-31 relative error = 1.1793142107640136096105872759421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.749 y[1] (analytic) = 6.7856028414644750893739260719479 y[1] (numeric) = 6.7856028414644750893739260719487 absolute error = 8e-31 relative error = 1.1789667310197943431686168682161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.75 y[1] (analytic) = 6.7876021528879765547154963123733 y[1] (numeric) = 6.7876021528879765547154963123741 absolute error = 8e-31 relative error = 1.1786194623378411514347420684764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.751 y[1] (analytic) = 6.7896014267093282655931480515925 y[1] (numeric) = 6.7896014267093282655931480515933 absolute error = 8e-31 relative error = 1.1782724046995064476967769601158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.752 y[1] (analytic) = 6.7916006619292564839279860821691 y[1] (numeric) = 6.7916006619292564839279860821699 absolute error = 8e-31 relative error = 1.1779255580859607666446879395780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.753 y[1] (analytic) = 6.7935998575485260730613909542965 y[1] (numeric) = 6.7935998575485260730613909542973 absolute error = 8e-31 relative error = 1.1775789224781931777429929627171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.754 y[1] (analytic) = 6.7955990125679414969900723648257 y[1] (numeric) = 6.7955990125679414969900723648264 absolute error = 7e-31 relative error = 1.0300784356248852358350438219789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.755 y[1] (analytic) = 6.7975981259883478195615218942632 y[1] (numeric) = 6.797598125988347819561521894264 absolute error = 8e-31 relative error = 1.1768862842030437048139058949660e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.756 y[1] (analytic) = 6.7995971968106317036288658963716 y[1] (numeric) = 6.7995971968106317036288658963723 absolute error = 7e-31 relative error = 1.0294727463096443034975811487074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.757 y[1] (analytic) = 6.8015962240357224101641193856004 y[1] (numeric) = 6.8015962240357224101641193856011 absolute error = 7e-31 relative error = 1.0291701785035623368334214986721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.758 y[1] (analytic) = 6.8035952066645927973288418091794 y[1] (numeric) = 6.8035952066645927973288418091801 absolute error = 7e-31 relative error = 1.0288677952419942771472646287679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.759 y[1] (analytic) = 6.8055941436982603195011956333001 y[1] (numeric) = 6.8055941436982603195011956333008 absolute error = 7e-31 relative error = 1.0285655965073604386923889223611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.76 y[1] (analytic) = 6.8075930341377880262584087164105 y[1] (numeric) = 6.8075930341377880262584087164112 absolute error = 7e-31 relative error = 1.0282635822819248731436393211134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.761 y[1] (analytic) = 6.8095918769842855613136414872442 y[1] (numeric) = 6.8095918769842855613136414872449 absolute error = 7e-31 relative error = 1.0279617525477957277486240718577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.762 y[1] (analytic) = 6.8115906712389101614062599907995 y[1] (numeric) = 6.8115906712389101614062599908002 absolute error = 7e-31 relative error = 1.0276601072869256030339798063965e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.763 y[1] (analytic) = 6.8135894159028676551445159120795 y[1] (numeric) = 6.8135894159028676551445159120802 absolute error = 7e-31 relative error = 1.0273586464811119100664440045566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.764 y[1] (analytic) = 6.8155881099774134617996347349953 y[1] (numeric) = 6.8155881099774134617996347349961 absolute error = 8e-31 relative error = 1.1737798515565682597354025695609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.765 y[1] (analytic) = 6.8175867524638535900503132424287 y[1] (numeric) = 6.8175867524638535900503132424295 absolute error = 8e-31 relative error = 1.1734357464697938934722068819765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=629.4MB, alloc=4.5MB, time=30.35 TOP MAIN SOLVE Loop x[1] = 4.766 y[1] (analytic) = 6.8195853423635456366766276130382 y[1] (numeric) = 6.819585342363545636676627613039 absolute error = 8e-31 relative error = 1.1730918521253293490551544519861e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.767 y[1] (analytic) = 6.821583878677899785202353420986 y[1] (numeric) = 6.8215838786778997852023534209867 absolute error = 7e-31 relative error = 1.0261546474389580150987822622461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.768 y[1] (analytic) = 6.8235823604083798044846988963465 y[1] (numeric) = 6.8235823604083798044846988963473 absolute error = 8e-31 relative error = 1.1724046955771211061697029701801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.769 y[1] (analytic) = 6.825580786556504047250452856549 y[1] (numeric) = 6.8255807865565040472504528565498 absolute error = 8e-31 relative error = 1.1720614333298351893136291856169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.77 y[1] (analytic) = 6.8275791561238464485775487727873 y[1] (numeric) = 6.827579156123846448577548772788 absolute error = 7e-31 relative error = 1.0252535840205535340596278158428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.771 y[1] (analytic) = 6.8295774681120375243210464899166 y[1] (numeric) = 6.8295774681120375243210464899173 absolute error = 7e-31 relative error = 1.0249535981813929014086714626943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.772 y[1] (analytic) = 6.8315757215227653694825331739402 y[1] (numeric) = 6.8315757215227653694825331739409 absolute error = 7e-31 relative error = 1.0246537966265406017908128370484e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.773 y[1] (analytic) = 6.8335739153577766565219451177657 y[1] (numeric) = 6.8335739153577766565219451177664 absolute error = 7e-31 relative error = 1.0243541793362617029105174061214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.774 y[1] (analytic) = 6.8355720486188776336108120934944 y[1] (numeric) = 6.8355720486188776336108120934951 absolute error = 7e-31 relative error = 1.0240547462906699834301431398263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.775 y[1] (analytic) = 6.8375701203079351228259259980819 y[1] (numeric) = 6.8375701203079351228259259980826 absolute error = 7e-31 relative error = 1.0237554974697282848695586390933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.776 y[1] (analytic) = 6.8395681294268775182824355987836 y[1] (numeric) = 6.8395681294268775182824355987843 absolute error = 7e-31 relative error = 1.0234564328532488630574778410340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.777 y[1] (analytic) = 6.8415660749776957842053692453754 y[1] (numeric) = 6.8415660749776957842053692453761 absolute error = 7e-31 relative error = 1.0231575524208937391342963595407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.778 y[1] (analytic) = 6.8435639559624444529385874777083 y[1] (numeric) = 6.843563955962444452938587477709 absolute error = 7e-31 relative error = 1.0228588561521750501062177245986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.779 y[1] (analytic) = 6.8455617713832426228901675197281 y[1] (numeric) = 6.8455617713832426228901675197288 absolute error = 7e-31 relative error = 1.0225603440264553989504609774890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.78 y[1] (analytic) = 6.8475595202422749564132217146596 y[1] (numeric) = 6.8475595202422749564132217146603 absolute error = 7e-31 relative error = 1.0222620160229482042713442621858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.781 y[1] (analytic) = 6.8495572015417926776211520206183 y[1] (numeric) = 6.8495572015417926776211520206191 absolute error = 8e-31 relative error = 1.1679587109951063422937625435527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.782 y[1] (analytic) = 6.8515548142841145701363427514807 y[1] (numeric) = 6.8515548142841145701363427514814 absolute error = 7e-31 relative error = 1.0216659122986810316868182010195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.783 y[1] (analytic) = 6.8535523574716279747712938144005 y[1] (numeric) = 6.8535523574716279747712938144012 absolute error = 7e-31 relative error = 1.0213681365356051097385352997449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.784 y[1] (analytic) = 6.8555498301067897871411967629237 y[1] (numeric) = 6.8555498301067897871411967629245 absolute error = 8e-31 relative error = 1.1669377654972690883957184875348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.785 y[1] (analytic) = 6.857547231192127455206956053208 y[1] (numeric) = 6.8575472311921274552069560532087 absolute error = 7e-31 relative error = 1.0207731371006697853577243638337e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.786 y[1] (analytic) = 6.8595445597302399767476579604077 y[1] (numeric) = 6.8595445597302399767476579604084 absolute error = 7e-31 relative error = 1.0204759133856087387415931874303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.787 y[1] (analytic) = 6.8615418147237988967614896828408 y[1] (numeric) = 6.8615418147237988967614896828415 absolute error = 7e-31 relative error = 1.0201788736431061930941313873769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.788 y[1] (analytic) = 6.8635389951755493047941112330996 y[1] (numeric) = 6.8635389951755493047941112331003 absolute error = 7e-31 relative error = 1.0198820178511946256953126615228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.789 y[1] (analytic) = 6.8655361000883108321934827878174 y[1] (numeric) = 6.8655361000883108321934827878181 absolute error = 7e-31 relative error = 1.0195853459877604561140594391666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.79 y[1] (analytic) = 6.8675331284649786492901502413476 y[1] (numeric) = 6.8675331284649786492901502413483 absolute error = 7e-31 relative error = 1.0192888580305443913624842670012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.791 y[1] (analytic) = 6.8695300793085244625019917831509 y[1] (numeric) = 6.8695300793085244625019917831516 absolute error = 7e-31 relative error = 1.0189925539571417705989552556976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.792 y[1] (analytic) = 6.8715269516219975113624283942289 y[1] (numeric) = 6.8715269516219975113624283942297 absolute error = 8e-31 relative error = 1.1642244957085747535769343892101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.793 y[1] (analytic) = 6.8735237444085255654711012344762 y[1] (numeric) = 6.873523744408525565471101234477 absolute error = 8e-31 relative error = 1.1638862827102096496681213191465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=633.2MB, alloc=4.5MB, time=30.53 TOP MAIN SOLVE Loop x[1] = 4.794 y[1] (analytic) = 6.8755204566713159213660189703556 y[1] (numeric) = 6.8755204566713159213660189703564 absolute error = 8e-31 relative error = 1.1635482797869653395880998213603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.795 y[1] (analytic) = 6.8775170874136563993161781708338 y[1] (numeric) = 6.8775170874136563993161781708346 absolute error = 8e-31 relative error = 1.1632104869125758870451099275770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.796 y[1] (analytic) = 6.8795136356389163400336599790395 y[1] (numeric) = 6.8795136356389163400336599790403 absolute error = 8e-31 relative error = 1.1628729040606111830481575733061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.797 y[1] (analytic) = 6.8815101003505476013042063476299 y[1] (numeric) = 6.8815101003505476013042063476306 absolute error = 7e-31 relative error = 1.0172185898039176696612258475873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.798 y[1] (analytic) = 6.8835064805520855545352792073727 y[1] (numeric) = 6.8835064805520855545352792073735 absolute error = 8e-31 relative error = 1.1621983683174170658073502866771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.799 y[1] (analytic) = 6.8855027752471500812206060209687 y[1] (numeric) = 6.8855027752471500812206060209694 absolute error = 7e-31 relative error = 1.0166287384509463253713736801690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = 6.8874989834394465693202152576495 y[1] (numeric) = 6.8874989834394465693202152576502 absolute error = 7e-31 relative error = 1.0163340882998393136188789602666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.801 y[1] (analytic) = 6.8894951041327669095549654086017 y[1] (numeric) = 6.8894951041327669095549654086024 absolute error = 7e-31 relative error = 1.0160396218005794172385467758794e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.802 y[1] (analytic) = 6.8914911363309904916145712487684 y[1] (numeric) = 6.8914911363309904916145712487691 absolute error = 7e-31 relative error = 1.0157453389291855502014563686921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.803 y[1] (analytic) = 6.8934870790380852002781311370861 y[1] (numeric) = 6.8934870790380852002781311370868 absolute error = 7e-31 relative error = 1.0154512396615353598118804692652e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.804 y[1] (analytic) = 6.8954829312581084114461592347131 y[1] (numeric) = 6.8954829312581084114461592347139 absolute error = 8e-31 relative error = 1.1601797988267035034638554981841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.805 y[1] (analytic) = 6.8974786919952079880831266092996 y[1] (numeric) = 6.8974786919952079880831266093004 absolute error = 8e-31 relative error = 1.1598441049603111969675491333896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.806 y[1] (analytic) = 6.8994743602536232760695152828408 y[1] (numeric) = 6.8994743602536232760695152828417 absolute error = 9e-31 relative error = 1.3044471984484861290316895698651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.807 y[1] (analytic) = 6.9014699350376860999623893711438 y[1] (numeric) = 6.9014699350376860999623893711446 absolute error = 8e-31 relative error = 1.1591733464468559301768611386761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.808 y[1] (analytic) = 6.9034654153518217586634875544174 y[1] (numeric) = 6.9034654153518217586634875544183 absolute error = 9e-31 relative error = 1.3036930669611144003137364727905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.809 y[1] (analytic) = 6.9054608002005500209938412109789 y[1] (numeric) = 6.9054608002005500209938412109797 absolute error = 8e-31 relative error = 1.1585034267036404165024219573992e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.81 y[1] (analytic) = 6.9074560885884861211739226395384 y[1] (numeric) = 6.9074560885884861211739226395392 absolute error = 8e-31 relative error = 1.1581687812994510557688190890583e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.811 y[1] (analytic) = 6.9094512795203417542083278899997 y[1] (numeric) = 6.9094512795203417542083278900005 absolute error = 8e-31 relative error = 1.1578343455017986306838452061379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.812 y[1] (analytic) = 6.9114463720009260711739988181744 y[1] (numeric) = 6.9114463720009260711739988181752 absolute error = 8e-31 relative error = 1.1575001192816790726167893129661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.813 y[1] (analytic) = 6.9134413650351466744109890762722 y[1] (numeric) = 6.9134413650351466744109890762731 absolute error = 9e-31 relative error = 1.3018118654361720535429973285049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.814 y[1] (analytic) = 6.9154362576280106126147788484838 y[1] (numeric) = 6.9154362576280106126147788484846 absolute error = 8e-31 relative error = 1.1568322954572346716718990079364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.815 y[1] (analytic) = 6.9174310487846253758291432394236 y[1] (numeric) = 6.9174310487846253758291432394244 absolute error = 8e-31 relative error = 1.1564986977941152257940623843411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.816 y[1] (analytic) = 6.9194257375101998903385793226488 y[1] (numeric) = 6.9194257375101998903385793226496 absolute error = 8e-31 relative error = 1.1561653095909402034577299049359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.817 y[1] (analytic) = 6.9214203228100455134592969569087 y[1] (numeric) = 6.9214203228100455134592969569095 absolute error = 8e-31 relative error = 1.1558321308179213578641617430286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.818 y[1] (analytic) = 6.9234148036895770282277785792174 y[1] (numeric) = 6.9234148036895770282277785792182 absolute error = 8e-31 relative error = 1.1554991614451147485480204629155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.819 y[1] (analytic) = 6.9254091791543136379859132862726 y[1] (numeric) = 6.9254091791543136379859132862734 absolute error = 8e-31 relative error = 1.1551664014424211208205816321951e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.82 y[1] (analytic) = 6.9274034482098799608617106191698 y[1] (numeric) = 6.9274034482098799608617106191706 absolute error = 8e-31 relative error = 1.1548338507795862846931160676869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.821 y[1] (analytic) = 6.92939760986200702414459957078 y[1] (numeric) = 6.9293976098620070241445995707808 absolute error = 8e-31 relative error = 1.1545015094262014932803478098734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=637.0MB, alloc=4.5MB, time=30.71 TOP MAIN SOLVE Loop x[1] = 4.822 y[1] (analytic) = 6.9313916631165332585543184405762 y[1] (numeric) = 6.931391663116533258554318440577 absolute error = 8e-31 relative error = 1.1541693773517038206838950593161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.823 y[1] (analytic) = 6.9333856069794054924024012681001 y[1] (numeric) = 6.9333856069794054924024012681009 absolute error = 8e-31 relative error = 1.1538374545253765393556044355836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.824 y[1] (analytic) = 6.9353794404566799456452666836665 y[1] (numeric) = 6.9353794404566799456452666836673 absolute error = 8e-31 relative error = 1.1535057409163494969406920348838e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.825 y[1] (analytic) = 6.9373731625545232238279151232993 y[1] (numeric) = 6.9373731625545232238279151233001 absolute error = 8e-31 relative error = 1.1531742364935994926006078668397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.826 y[1] (analytic) = 6.9393667722792133119172404642841 y[1] (numeric) = 6.9393667722792133119172404642849 absolute error = 8e-31 relative error = 1.1528429412259506528155433437073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.827 y[1] (analytic) = 6.9413602686371405680239622481092 y[1] (numeric) = 6.9413602686371405680239622481101 absolute error = 9e-31 relative error = 1.2965758369673341574998176489327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.828 y[1] (analytic) = 6.9433536506348087170121847689456 y[1] (numeric) = 6.9433536506348087170121847689465 absolute error = 9e-31 relative error = 1.2962036002843033431714869684200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.829 y[1] (analytic) = 6.9453469172788358439955894181887 y[1] (numeric) = 6.9453469172788358439955894181896 absolute error = 9e-31 relative error = 1.2958315987945164442350888828870e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.83 y[1] (analytic) = 6.9473400675759553877192667889538 y[1] (numeric) = 6.9473400675759553877192667889547 absolute error = 9e-31 relative error = 1.2954598324622177919823838896624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.831 y[1] (analytic) = 6.9493331005330171338261951587748 y[1] (numeric) = 6.9493331005330171338261951587757 absolute error = 9e-31 relative error = 1.2950883012514820660438767904904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.832 y[1] (analytic) = 6.9513260151569882080073720841106 y[1] (numeric) = 6.9513260151569882080073720841115 absolute error = 9e-31 relative error = 1.2947170051262147136525237445102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.833 y[1] (analytic) = 6.953318810454954069034605956611 y[1] (numeric) = 6.9533188104549540690346059566119 absolute error = 9e-31 relative error = 1.2943459440501523683215015363840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.834 y[1] (analytic) = 6.9553114854341195016749744884326 y[1] (numeric) = 6.9553114854341195016749744884335 absolute error = 9e-31 relative error = 1.2939751179868632679359760694112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.835 y[1] (analytic) = 6.9573040391018096094859572122291 y[1] (numeric) = 6.95730403910180960948595721223 absolute error = 9e-31 relative error = 1.2936045268997476722588104587030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.836 y[1] (analytic) = 6.9592964704654708074902492007666 y[1] (numeric) = 6.9592964704654708074902492007675 absolute error = 9e-31 relative error = 1.2932341707520382798501564521461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.837 y[1] (analytic) = 6.9612887785326718147292633314326 y[1] (numeric) = 6.9612887785326718147292633314335 absolute error = 9e-31 relative error = 1.2928640495068006444008762469957e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.838 y[1] (analytic) = 6.9632809623111046466943285422189 y[1] (numeric) = 6.9632809623111046466943285422198 absolute error = 9e-31 relative error = 1.2924941631269335904797450975177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.839 y[1] (analytic) = 6.9652730208085856076345916480637 y[1] (numeric) = 6.9652730208085856076345916480646 absolute error = 9e-31 relative error = 1.2921245115751696286943884241813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.84 y[1] (analytic) = 6.9672649530330562827406304097327 y[1] (numeric) = 6.9672649530330562827406304097335 absolute error = 8e-31 relative error = 1.1482267509458447735696981666685e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.841 y[1] (analytic) = 6.9692567579925845302027856717093 y[1] (numeric) = 6.9692567579925845302027856717101 absolute error = 8e-31 relative error = 1.1478985891609350586819329598077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.842 y[1] (analytic) = 6.9712484346953654731432205108453 y[1] (numeric) = 6.9712484346953654731432205108461 absolute error = 8e-31 relative error = 1.1475706360118536842441772139730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.843 y[1] (analytic) = 6.9732399821497224914207144637936 y[1] (numeric) = 6.9732399821497224914207144637944 absolute error = 8e-31 relative error = 1.1472428914648863343858990827802e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.844 y[1] (analytic) = 6.9752313993641082133072010285133 y[1] (numeric) = 6.9752313993641082133072010285141 absolute error = 8e-31 relative error = 1.1469153554861726959460454648992e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.845 y[1] (analytic) = 6.9772226853471055070350567633913 y[1] (numeric) = 6.9772226853471055070350567633921 absolute error = 8e-31 relative error = 1.1465880280417068243775363277477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.846 y[1] (analytic) = 6.9792138391074284722141504367743 y[1] (numeric) = 6.9792138391074284722141504367751 absolute error = 8e-31 relative error = 1.1462609090973375091304276997072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.847 y[1] (analytic) = 6.9812048596539234311176608099443 y[1] (numeric) = 6.981204859653923431117660809945 absolute error = 7e-31 relative error = 1.0026922487914225586995096908854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.848 y[1] (analytic) = 6.9831957459955699198356717678025 y[1] (numeric) = 6.9831957459955699198356717678032 absolute error = 7e-31 relative error = 1.0024063845001146185313548472421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.849 y[1] (analytic) = 6.98518649714148167929555364375 y[1] (numeric) = 6.9851864971414816792955536437508 absolute error = 8e-31 relative error = 1.1452808029211254642236303272651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=640.8MB, alloc=4.5MB, time=30.89 TOP MAIN SOLVE Loop x[1] = 4.85 y[1] (analytic) = 6.9871771121009076461481397184653 y[1] (numeric) = 6.987177112100907646148139718466 absolute error = 7e-31 relative error = 1.0018352029286454944301298100941e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.851 y[1] (analytic) = 6.9891675898832329435187070064845 y[1] (numeric) = 6.9891675898832329435187070064852 absolute error = 7e-31 relative error = 1.0015498855875836899282648221941e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.852 y[1] (analytic) = 6.9911579294979798716217705796881 y[1] (numeric) = 6.9911579294979798716217705796888 absolute error = 7e-31 relative error = 1.0012647505021611003125616368413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.853 y[1] (analytic) = 6.9931481299548088982387008129798 y[1] (numeric) = 6.9931481299548088982387008129805 absolute error = 7e-31 relative error = 1.0009797976416145756512420497318e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.854 y[1] (analytic) = 6.9951381902635196490571730746249 y[1] (numeric) = 6.9951381902635196490571730746256 absolute error = 7e-31 relative error = 1.0006950269750563995188599404052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.855 y[1] (analytic) = 6.9971281094340518978714595218794 y[1] (numeric) = 6.9971281094340518978714595218802 absolute error = 8e-31 relative error = 1.1433262153959709766864846856545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.856 y[1] (analytic) = 6.9991178864764865566425728017023 y[1] (numeric) = 6.9991178864764865566425728017031 absolute error = 8e-31 relative error = 1.1430011795425523289609255932792e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.857 y[1] (analytic) = 7.001107520401046665417271596488 y[1] (numeric) = 7.0011075204010466654172715964887 absolute error = 7e-31 relative error = 9.9984180782857292513421852851041e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.858 y[1] (analytic) = 7.0030970102180983821049380958968 y[1] (numeric) = 7.0030970102180983821049380958975 absolute error = 7e-31 relative error = 9.9955776562661068556244507951935e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.859 y[1] (analytic) = 7.0050863549381519721113376179893 y[1] (numeric) = 7.00508635493815197211133761799 absolute error = 7e-31 relative error = 9.9927390546234074517321884278184e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.86 y[1] (analytic) = 7.0070755535718627978282707459854 y[1] (numeric) = 7.0070755535718627978282707459861 absolute error = 7e-31 relative error = 9.9899022730413460030388192918696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.861 y[1] (analytic) = 7.0090646051300323079781284910802 y[1] (numeric) = 7.0090646051300323079781284910809 absolute error = 7e-31 relative error = 9.9870673112024138044867440781153e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.862 y[1] (analytic) = 7.011053508623609026812361136843 y[1] (numeric) = 7.0110535086236090268123611368437 absolute error = 7e-31 relative error = 9.9842341687878816066989665500610e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.863 y[1] (analytic) = 7.0130422630636895431628715668137 y[1] (numeric) = 7.0130422630636895431628715668144 absolute error = 7e-31 relative error = 9.9814028454778027355297191949474e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.864 y[1] (analytic) = 7.0150308674615194993453440239848 y[1] (numeric) = 7.0150308674615194993453440239855 absolute error = 7e-31 relative error = 9.9785733409510162070543445472466e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.865 y[1] (analytic) = 7.0170193208284945799135193989235 y[1] (numeric) = 7.0170193208284945799135193989243 absolute error = 8e-31 relative error = 1.1400852177011599814855667449597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.866 y[1] (analytic) = 7.0190076221761615002634282923409 y[1] (numeric) = 7.0190076221761615002634282923417 absolute error = 8e-31 relative error = 1.1397622613664712401838227766546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.867 y[1] (analytic) = 7.0209957705162189950865932479566 y[1] (numeric) = 7.0209957705162189950865932479574 absolute error = 8e-31 relative error = 1.1394395127817887404523856583721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.868 y[1] (analytic) = 7.0229837648605188066712117025404 y[1] (numeric) = 7.0229837648605188066712117025412 absolute error = 8e-31 relative error = 1.1391169719098568063659851911409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.869 y[1] (analytic) = 7.0249716042210666730503313520294 y[1] (numeric) = 7.0249716042210666730503313520302 absolute error = 8e-31 relative error = 1.1387946387132827559159056931600e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.87 y[1] (analytic) = 7.026959287610023315996029785628 y[1] (numeric) = 7.0269592876100233159960297856289 absolute error = 9e-31 relative error = 1.2807815772988544106174963650191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.871 y[1] (analytic) = 7.0289468140397054288586103937932 y[1] (numeric) = 7.0289468140397054288586103937941 absolute error = 9e-31 relative error = 1.2804194195954489972081996306644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.872 y[1] (analytic) = 7.0309341825225866642498267109915 y[1] (numeric) = 7.0309341825225866642498267109924 absolute error = 9e-31 relative error = 1.2800574953997000769294191689307e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.873 y[1] (analytic) = 7.0329213920712986215691475100859 y[1] (numeric) = 7.0329213920712986215691475100868 absolute error = 9e-31 relative error = 1.2796958046689283190980509068664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.874 y[1] (analytic) = 7.0349084416986318343720751221702 y[1] (numeric) = 7.034908441698631834372075122171 absolute error = 8e-31 relative error = 1.1371860865424908802073801183892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.875 y[1] (analytic) = 7.0368953304175367575795296136132 y[1] (numeric) = 7.036895330417536757579529613614 absolute error = 8e-31 relative error = 1.1368649986051898649850647369275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.876 y[1] (analytic) = 7.0388820572411247545273116110133 y[1] (numeric) = 7.0388820572411247545273116110141 absolute error = 8e-31 relative error = 1.1365441180776913646358397573194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.877 y[1] (analytic) = 7.0408686211826690838546567246804 y[1] (numeric) = 7.0408686211826690838546567246812 absolute error = 8e-31 relative error = 1.1362234449215193081305477824616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=644.7MB, alloc=4.5MB, time=31.07 TOP MAIN SOLVE Loop x[1] = 4.878 y[1] (analytic) = 7.0428550212556058862308946821748 y[1] (numeric) = 7.0428550212556058862308946821756 absolute error = 8e-31 relative error = 1.1359029790980637754569683297261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.879 y[1] (analytic) = 7.0448412564735351709192264453253 y[1] (numeric) = 7.0448412564735351709192264453261 absolute error = 8e-31 relative error = 1.1355827205685813458055067732465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.88 y[1] (analytic) = 7.0468273258502218021766327470316 y[1] (numeric) = 7.0468273258502218021766327470324 absolute error = 8e-31 relative error = 1.1352626692941954452344742981953e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.881 y[1] (analytic) = 7.0488132283995964854889276480252 y[1] (numeric) = 7.048813228399596485488927648026 absolute error = 8e-31 relative error = 1.1349428252358966938150317321960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.882 y[1] (analytic) = 7.0507989631357567536399708786165 y[1] (numeric) = 7.0507989631357567536399708786174 absolute error = 9e-31 relative error = 1.2764510868988611587878566842201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.883 y[1] (analytic) = 7.0527845290729679526140528962995 y[1] (numeric) = 7.0527845290729679526140528963003 absolute error = 8e-31 relative error = 1.1343037586108611680077232921454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.884 y[1] (analytic) = 7.0547699252256642273304667569088 y[1] (numeric) = 7.0547699252256642273304667569096 absolute error = 8e-31 relative error = 1.1339845359654447208477404777128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.885 y[1] (analytic) = 7.0567551506084495072092810648421 y[1] (numeric) = 7.0567551506084495072092810648428 absolute error = 7e-31 relative error = 9.9195733033141217195090270788168e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.886 y[1] (analytic) = 7.0587402042360984915673284366544 y[1] (numeric) = 7.0587402042360984915673284366552 absolute error = 8e-31 relative error = 1.1333467118111290883993838409616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.887 y[1] (analytic) = 7.0607250851235576348434240821206 y[1] (numeric) = 7.0607250851235576348434240821214 absolute error = 8e-31 relative error = 1.1330281102227627272772879855855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.888 y[1] (analytic) = 7.0627097922859461316518292776266 y[1] (numeric) = 7.0627097922859461316518292776274 absolute error = 8e-31 relative error = 1.1327097155737283391053495208549e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.889 y[1] (analytic) = 7.0646943247385569016629746785111 y[1] (numeric) = 7.0646943247385569016629746785119 absolute error = 8e-31 relative error = 1.1323915278239665308611771574693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.89 y[1] (analytic) = 7.0666786814968575743104585897138 y[1] (numeric) = 7.0666786814968575743104585897146 absolute error = 8e-31 relative error = 1.1320735469332882044378450672147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.891 y[1] (analytic) = 7.068662861576491473323335487816 y[1] (numeric) = 7.0686628615764914733233354878168 absolute error = 8e-31 relative error = 1.1317557728613748985900256751543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.892 y[1] (analytic) = 7.0706468639932786010827102622654 y[1] (numeric) = 7.0706468639932786010827102622662 absolute error = 8e-31 relative error = 1.1314382055677791303607499063977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.893 y[1] (analytic) = 7.0726306877632166228016538192747 y[1] (numeric) = 7.0726306877632166228016538192754 absolute error = 7e-31 relative error = 9.8973073938543414399028483718400e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.894 y[1] (analytic) = 7.0746143319024818505274558685582 y[1] (numeric) = 7.074614331902481850527455868559 absolute error = 8e-31 relative error = 1.1308036911531072112975180254549e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.895 y[1] (analytic) = 7.0765977954274302269652308907383 y[1] (numeric) = 7.076597795427430226965230890739 absolute error = 7e-31 relative error = 9.8917590095668229511771320534833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.896 y[1] (analytic) = 7.0785810773545983091218934618947 y[1] (numeric) = 7.0785810773545983091218934618954 absolute error = 7e-31 relative error = 9.8889875294273445450764839719247e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.897 y[1] (analytic) = 7.0805641767007042517695192913665 y[1] (numeric) = 7.0805641767007042517695192913672 absolute error = 7e-31 relative error = 9.8862178568117373580616594876044e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.898 y[1] (analytic) = 7.0825470924826487907271085095249 y[1] (numeric) = 7.0825470924826487907271085095256 absolute error = 7e-31 relative error = 9.8834499913593747571877841495199e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.899 y[1] (analytic) = 7.0845298237175162259597679238374 y[1] (numeric) = 7.0845298237175162259597679238381 absolute error = 7e-31 relative error = 9.8806839327085219547535333732628e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.9 y[1] (analytic) = 7.0865123694225754044943291441219 y[1] (numeric) = 7.0865123694225754044943291441226 absolute error = 7e-31 relative error = 9.8779196804963389594630883318112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.901 y[1] (analytic) = 7.0884947286152807031504196614552 y[1] (numeric) = 7.0884947286152807031504196614559 absolute error = 7e-31 relative error = 9.8751572343588835230523589074795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.902 y[1] (analytic) = 7.0904769003132730110860041497461 y[1] (numeric) = 7.0904769003132730110860041497468 absolute error = 7e-31 relative error = 9.8723965939311140823805502405361e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.903 y[1] (analytic) = 7.0924588835343807121564134445145 y[1] (numeric) = 7.0924588835343807121564134445152 absolute error = 7e-31 relative error = 9.8696377588468926969881693628740e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.904 y[1] (analytic) = 7.0944406772966206670858788399283 y[1] (numeric) = 7.0944406772966206670858788399291 absolute error = 8e-31 relative error = 1.1276435118558843408140100883533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.905 y[1] (analytic) = 7.096422280618199195450589532647 y[1] (numeric) = 7.0964222806181991954505895326478 absolute error = 8e-31 relative error = 1.1273286289416089185408342391511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=648.5MB, alloc=4.5MB, time=31.26 TOP MAIN SOLVE Loop x[1] = 4.906 y[1] (analytic) = 7.0984036925175130574722912294946 y[1] (numeric) = 7.0984036925175130574722912294955 absolute error = 9e-31 relative error = 1.2678906962542825761339883681110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.907 y[1] (analytic) = 7.1003849120131504356214441254473 y[1] (numeric) = 7.1003849120131504356214441254482 absolute error = 9e-31 relative error = 1.2675369168751525476985056063855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.908 y[1] (analytic) = 7.1023659381238919160289586488572 y[1] (numeric) = 7.1023659381238919160289586488581 absolute error = 9e-31 relative error = 1.2671833693741459009019320154949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.909 y[1] (analytic) = 7.1043467698687114697055275622608 y[1] (numeric) = 7.1043467698687114697055275622617 absolute error = 9e-31 relative error = 1.2668300537033498796798710313931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.91 y[1] (analytic) = 7.1063274062667774335675731995194 y[1] (numeric) = 7.1063274062667774335675731995203 absolute error = 9e-31 relative error = 1.2664769698147133926635738079866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.911 y[1] (analytic) = 7.1083078463374534912688288134277 y[1] (numeric) = 7.1083078463374534912688288134286 absolute error = 9e-31 relative error = 1.2661241176600473862082578709543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.912 y[1] (analytic) = 7.1102880891002996538365732022902 y[1] (numeric) = 7.1102880891002996538365732022912 absolute error = 1.0e-30 relative error = 1.4064127746566946853776910431306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.913 y[1] (analytic) = 7.1122681335750732401115379793131 y[1] (numeric) = 7.1122681335750732401115379793141 absolute error = 1.0e-30 relative error = 1.4060212315102033590231366062354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.914 y[1] (analytic) = 7.1142479787817298569905070449846 y[1] (numeric) = 7.1142479787817298569905070449856 absolute error = 1.0e-30 relative error = 1.4056299456843556632597597179323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.915 y[1] (analytic) = 7.1162276237404243794706280199282 y[1] (numeric) = 7.1162276237404243794706280199292 absolute error = 1.0e-30 relative error = 1.4052389171249991713172249119482e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.916 y[1] (analytic) = 7.1182070674715119304944555939973 y[1] (numeric) = 7.1182070674715119304944555939983 absolute error = 1.0e-30 relative error = 1.4048481457778302276989294688818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.917 y[1] (analytic) = 7.1201863089955488605947469466498 y[1] (numeric) = 7.1201863089955488605947469466508 absolute error = 1.0e-30 relative error = 1.4044576315883943587840422445862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.918 y[1] (analytic) = 7.12216534733329372733802959389 y[1] (numeric) = 7.1221653473332937273380295938909 absolute error = 9e-31 relative error = 1.2636606370518780145061171088589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.919 y[1] (analytic) = 7.1241441815057082745659622182898 y[1] (numeric) = 7.1241441815057082745659622182907 absolute error = 9e-31 relative error = 1.2633096370177370871519154260807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.92 y[1] (analytic) = 7.1261228105339584114335092408118 y[1] (numeric) = 7.1261228105339584114335092408127 absolute error = 9e-31 relative error = 1.2629588682777181170960716276690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.921 y[1] (analytic) = 7.1281012334394151912429500963398 y[1] (numeric) = 7.1281012334394151912429500963407 absolute error = 9e-31 relative error = 1.2626083307822728166442646249181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.922 y[1] (analytic) = 7.1300794492436557900727443789899 y[1] (numeric) = 7.1300794492436557900727443789908 absolute error = 9e-31 relative error = 1.2622580244817190007961221583559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.923 y[1] (analytic) = 7.1320574569684644852002742284184 y[1] (numeric) = 7.1320574569684644852002742284193 absolute error = 9e-31 relative error = 1.2619079493262409533069847323568e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.924 y[1] (analytic) = 7.1340352556358336333174855344652 y[1] (numeric) = 7.1340352556358336333174855344661 absolute error = 9e-31 relative error = 1.2615581052658897921703172762296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.925 y[1] (analytic) = 7.136012844267964648538449744574 y[1] (numeric) = 7.1360128442679646485384497445749 absolute error = 9e-31 relative error = 1.2612084922505838345209632283113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.926 y[1] (analytic) = 7.1379902218872689801978682665079 y[1] (numeric) = 7.1379902218872689801978682665088 absolute error = 9e-31 relative error = 1.2608591102301089609594380600747e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.927 y[1] (analytic) = 7.1399673875163690904395416679384 y[1] (numeric) = 7.1399673875163690904395416679392 absolute error = 8e-31 relative error = 1.1204532970258835371532991710082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.928 y[1] (analytic) = 7.1419443401780994315938260845188 y[1] (numeric) = 7.1419443401780994315938260845196 absolute error = 8e-31 relative error = 1.1201431457530097668666049385146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.929 y[1] (analytic) = 7.1439210788955074233430994590692 y[1] (numeric) = 7.14392107889550742334309945907 absolute error = 8e-31 relative error = 1.1198331996742673221320318547182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.93 y[1] (analytic) = 7.1458976026918544296742604464858 y[1] (numeric) = 7.1458976026918544296742604464866 absolute error = 8e-31 relative error = 1.1195234587445537728464264251128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.931 y[1] (analytic) = 7.1478739105906167356172830319588 y[1] (numeric) = 7.1478739105906167356172830319596 absolute error = 8e-31 relative error = 1.1192139229186505790486689154043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.932 y[1] (analytic) = 7.1498500016154865237688501240247 y[1] (numeric) = 7.1498500016154865237688501240255 absolute error = 8e-31 relative error = 1.1189045921512234116794921664122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.933 y[1] (analytic) = 7.1518258747903728506000895989016 y[1] (numeric) = 7.1518258747903728506000895989024 absolute error = 8e-31 relative error = 1.1185954663968224728279516675553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=652.3MB, alloc=4.5MB, time=31.44 TOP MAIN SOLVE Loop x[1] = 4.934 y[1] (analytic) = 7.1538015291394026225474364884517 y[1] (numeric) = 7.1538015291394026225474364884526 absolute error = 9e-31 relative error = 1.2580723638111181673978304602263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.935 y[1] (analytic) = 7.1557769636869215718856452209917 y[1] (numeric) = 7.1557769636869215718856452209926 absolute error = 9e-31 relative error = 1.2577250584628152454953420156134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.936 y[1] (analytic) = 7.1577521774574952323819760420181 y[1] (numeric) = 7.157752177457495232381976042019 absolute error = 9e-31 relative error = 1.2573779835999979420914978237011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.937 y[1] (analytic) = 7.1597271694759099147305799607448 y[1] (numeric) = 7.1597271694759099147305799607457 absolute error = 9e-31 relative error = 1.2570311391710192159339579512603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.938 y[1] (analytic) = 7.161701938767173681766106788147 y[1] (numeric) = 7.1617019387671736817661067881478 absolute error = 8e-31 relative error = 1.1170529112214257031497686464092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.939 y[1] (analytic) = 7.1636764843565173234555610529859 y[1] (numeric) = 7.1636764843565173234555610529867 absolute error = 8e-31 relative error = 1.1167450145843103453606574374039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.94 y[1] (analytic) = 7.1656508052693953316674308040397 y[1] (numeric) = 7.1656508052693953316674308040406 absolute error = 9e-31 relative error = 1.2559919879687245828370406728132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.941 y[1] (analytic) = 7.1676249005314868747171145294925 y[1] (numeric) = 7.1676249005314868747171145294934 absolute error = 9e-31 relative error = 1.2556460647560729073994861534947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.942 y[1] (analytic) = 7.1695987691686967716876716481357 y[1] (numeric) = 7.1695987691686967716876716481366 absolute error = 9e-31 relative error = 1.2553003717171100847405020703089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.943 y[1] (analytic) = 7.1715724102071564665249222517129 y[1] (numeric) = 7.1715724102071564665249222517138 absolute error = 9e-31 relative error = 1.2549549087994257559821535568984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.944 y[1] (analytic) = 7.1735458226732250019059220033897 y[1] (numeric) = 7.1735458226732250019059220033906 absolute error = 9e-31 relative error = 1.2546096759504835847854221041279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.945 y[1] (analytic) = 7.1755190055934899928798383239541 y[1] (numeric) = 7.1755190055934899928798383239551 absolute error = 1.0e-30 relative error = 1.3936274145751351230163253624866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.946 y[1] (analytic) = 7.1774919579947686002802542249534 y[1] (numeric) = 7.1774919579947686002802542249543 absolute error = 9e-31 relative error = 1.2539199002480526020276930434402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.947 y[1] (analytic) = 7.1794646789041085039079263765432 y[1] (numeric) = 7.1794646789041085039079263765442 absolute error = 1.0e-30 relative error = 1.3928615080987382309901395269064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.948 y[1] (analytic) = 7.1814371673487888754830242273744 y[1] (numeric) = 7.1814371673487888754830242273754 absolute error = 1.0e-30 relative error = 1.3924789379855781222469358099393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.949 y[1] (analytic) = 7.1834094223563213513658772243566 y[1] (numeric) = 7.1834094223563213513658772243576 absolute error = 1.0e-30 relative error = 1.3920966232103993041740056500640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.95 y[1] (analytic) = 7.1853814429544510050452574116347 y[1] (numeric) = 7.1853814429544510050452574116358 absolute error = 1.1e-30 relative error = 1.5308860200853960871072374698936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.951 y[1] (analytic) = 7.1873532281711573193932249205761 y[1] (numeric) = 7.1873532281711573193932249205771 absolute error = 1.0e-30 relative error = 1.3913327594370269642897227871763e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.952 y[1] (analytic) = 7.1893247770346551586855640960026 y[1] (numeric) = 7.1893247770346551586855640960036 absolute error = 1.0e-30 relative error = 1.3909512103200114428607740395311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.953 y[1] (analytic) = 7.1912960885733957403868382383149 y[1] (numeric) = 7.1912960885733957403868382383159 absolute error = 1.0e-30 relative error = 1.3905699163033339885589739503557e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.954 y[1] (analytic) = 7.1932671618160676066990911765331 y[1] (numeric) = 7.1932671618160676066990911765341 absolute error = 1.0e-30 relative error = 1.3901888773272426340262076423683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.955 y[1] (analytic) = 7.1952379957915975958732241236342 y[1] (numeric) = 7.1952379957915975958732241236352 absolute error = 1.0e-30 relative error = 1.3898080933318497207809674778949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.956 y[1] (analytic) = 7.19720858952915181328207650289 y[1] (numeric) = 7.197208589529151813282076502891 absolute error = 1.0e-30 relative error = 1.3894275642571322848385545915921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.957 y[1] (analytic) = 7.1991789420581366022542396722059 y[1] (numeric) = 7.1991789420581366022542396722069 absolute error = 1.0e-30 relative error = 1.3890472900429324416959942466207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.958 y[1] (analytic) = 7.2011490524081995146676327127274 y[1] (numeric) = 7.2011490524081995146676327127285 absolute error = 1.1e-30 relative error = 1.5275339976918535477501565528472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.959 y[1] (analytic) = 7.2031189196092302813018696882201 y[1] (numeric) = 7.2031189196092302813018696882212 absolute error = 1.1e-30 relative error = 1.5271162565502598685392086862791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.96 y[1] (analytic) = 7.2050885426913617819484480229353 y[1] (numeric) = 7.2050885426913617819484480229364 absolute error = 1.1e-30 relative error = 1.5266987955558282714863510454598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.961 y[1] (analytic) = 7.2070579206849710152777878878557 y[1] (numeric) = 7.2070579206849710152777878878567 absolute error = 1.0e-30 relative error = 1.3875287405834505947519072353625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=656.1MB, alloc=4.5MB, time=31.63 TOP MAIN SOLVE Loop x[1] = 4.962 y[1] (analytic) = 7.2090270526206800684621527283608 y[1] (numeric) = 7.2090270526206800684621527283618 absolute error = 1.0e-30 relative error = 1.3871497397647750988846673633959e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.963 y[1] (analytic) = 7.2109959375293570865534813104739 y[1] (numeric) = 7.2109959375293570865534813104749 absolute error = 1.0e-30 relative error = 1.3867709934428580370997665332884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.964 y[1] (analytic) = 7.2129645744421172416151619079376 y[1] (numeric) = 7.2129645744421172416151619079386 absolute error = 1.0e-30 relative error = 1.3863925015566078075424980583583e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.965 y[1] (analytic) = 7.2149329623903237016067794984262 y[1] (numeric) = 7.2149329623903237016067794984272 absolute error = 1.0e-30 relative error = 1.3860142640448009448848205424858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.966 y[1] (analytic) = 7.2169011004055885990208670842274 y[1] (numeric) = 7.2169011004055885990208670842283 absolute error = 9e-31 relative error = 1.2470726527614742496456321686089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.967 y[1] (analytic) = 7.2188689875197739992706925007226 y[1] (numeric) = 7.2188689875197739992706925007236 absolute error = 1.0e-30 relative error = 1.3852585518989664166425667921730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.968 y[1] (analytic) = 7.2208366227649928688281123249614 y[1] (numeric) = 7.2208366227649928688281123249624 absolute error = 1.0e-30 relative error = 1.3848810771418359134024872572770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.969 y[1] (analytic) = 7.222804005173610043110524746554 y[1] (numeric) = 7.222804005173610043110524746555 absolute error = 1.0e-30 relative error = 1.3845038565129438571528980660827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.97 y[1] (analytic) = 7.2247711337782431941159535140125 y[1] (numeric) = 7.2247711337782431941159535140135 absolute error = 1.0e-30 relative error = 1.3841268899504131417726958740187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.971 y[1] (analytic) = 7.2267380076117637978052953215359 y[1] (numeric) = 7.2267380076117637978052953215369 absolute error = 1.0e-30 relative error = 1.3837501773922370638757229754726e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.972 y[1] (analytic) = 7.228704625707298101230763254072 y[1] (numeric) = 7.228704625707298101230763254073 absolute error = 1.0e-30 relative error = 1.3833737187762796983030687195360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.973 y[1] (analytic) = 7.2306709870982280894095591622945 y[1] (numeric) = 7.2306709870982280894095591622956 absolute error = 1.1e-30 relative error = 1.5212972654443039002835794578387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.974 y[1] (analytic) = 7.2326370908181924519418080939029 y[1] (numeric) = 7.232637090818192451941808093904 absolute error = 1.1e-30 relative error = 1.5208837194340168974906917091037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.975 y[1] (analytic) = 7.2346029359010875493717881633902 y[1] (numeric) = 7.2346029359010875493717881633914 absolute error = 1.2e-30 relative error = 1.6586950391501161980518671782230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.976 y[1] (analytic) = 7.2365685213810683792914894991317 y[1] (numeric) = 7.2365685213810683792914894991329 absolute error = 1.2e-30 relative error = 1.6582445069849004824000959577063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.977 y[1] (analytic) = 7.2385338462925495421855361643133 y[1] (numeric) = 7.2385338462925495421855361643145 absolute error = 1.2e-30 relative error = 1.6577942791752213964282799667588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.978 y[1] (analytic) = 7.2404989096702062070165052068604 y[1] (numeric) = 7.2404989096702062070165052068617 absolute error = 1.3e-30 relative error = 1.7954563852827277576979603171503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.979 y[1] (analytic) = 7.2424637105489750765496772531281 y[1] (numeric) = 7.2424637105489750765496772531293 absolute error = 1.2e-30 relative error = 1.6568947363203848328697748391815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.98 y[1] (analytic) = 7.2444282479640553524162533206808 y[1] (numeric) = 7.244428247964055352416253320682 absolute error = 1.2e-30 relative error = 1.6564454211238038266376112758347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.981 y[1] (analytic) = 7.2463925209509096999140727870283 y[1] (numeric) = 7.2463925209509096999140727870295 absolute error = 1.2e-30 relative error = 1.6559964099799132811435418643320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.982 y[1] (analytic) = 7.2483565285452652125448677136775 y[1] (numeric) = 7.2483565285452652125448677136787 absolute error = 1.2e-30 relative error = 1.6555477028126240412146165699998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.983 y[1] (analytic) = 7.2503202697831143762870889883272 y[1] (numeric) = 7.2503202697831143762870889883284 absolute error = 1.2e-30 relative error = 1.6550992995456967922175347685444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.984 y[1] (analytic) = 7.252283743700716033603340012461 y[1] (numeric) = 7.2522837437007160336033400124622 absolute error = 1.2e-30 relative error = 1.6546512001027425015997474336781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.985 y[1] (analytic) = 7.2542469493345963471814539269828 y[1] (numeric) = 7.254246949334596347181453926984 absolute error = 1.2e-30 relative error = 1.6542034044072228596791071038266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.986 y[1] (analytic) = 7.2562098857215497634082506349003 y[1] (numeric) = 7.2562098857215497634082506349016 absolute error = 1.3e-30 relative error = 1.7915689050809882796560306866098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.987 y[1] (analytic) = 7.2581725518986399755750101473784 y[1] (numeric) = 7.2581725518986399755750101473796 absolute error = 1.2e-30 relative error = 1.6533087239515905370338158946820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.988 y[1] (analytic) = 7.2601349469032008868136990477691 y[1] (numeric) = 7.2601349469032008868136990477703 absolute error = 1.2e-30 relative error = 1.6528618390376588078918974232559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.989 y[1] (analytic) = 7.2620970697728375727629871374734 y[1] (numeric) = 7.2620970697728375727629871374746 absolute error = 1.2e-30 relative error = 1.6524152575635245069385452326304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=659.9MB, alloc=4.5MB, time=31.81 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (analytic) = 7.264058919545427243963091597697 y[1] (numeric) = 7.2640589195454272439630915976981 absolute error = 1.1e-30 relative error = 1.5143048978309170640492531916565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.991 y[1] (analytic) = 7.2660204952591202079784862723363 y[1] (numeric) = 7.2660204952591202079784862723375 absolute error = 1.2e-30 relative error = 1.6515230046253891024236939796646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.992 y[1] (analytic) = 7.2679817959523408312475139493669 y[1] (numeric) = 7.2679817959523408312475139493681 absolute error = 1.2e-30 relative error = 1.6510773330063922704460714716813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.993 y[1] (analytic) = 7.2699428206637885006579397911999 y[1] (numeric) = 7.2699428206637885006579397912011 absolute error = 1.2e-30 relative error = 1.6506319645172022801597573808942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.994 y[1] (analytic) = 7.2719035684324385848474843385356 y[1] (numeric) = 7.2719035684324385848474843385368 absolute error = 1.2e-30 relative error = 1.6501868990799570394726671274311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.995 y[1] (analytic) = 7.2738640382975433952283747872595 y[1] (numeric) = 7.2738640382975433952283747872606 absolute error = 1.1e-30 relative error = 1.5122636252319287503388610043653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.996 y[1] (analytic) = 7.27582422929863314673495351391 y[1] (numeric) = 7.2758242292986331467349535139112 absolute error = 1.2e-30 relative error = 1.6492976770491283187374769784844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.997 y[1] (analytic) = 7.2777841404755169182933831021907 y[1] (numeric) = 7.2777841404755169182933831021918 absolute error = 1.1e-30 relative error = 1.5114490602741730123230881371091e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.998 y[1] (analytic) = 7.2797437708682836130124874008996 y[1] (numeric) = 7.2797437708682836130124874009007 absolute error = 1.1e-30 relative error = 1.5110421940974423642790873229087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.999 y[1] (analytic) = 7.2817031195173029180947684225171 y[1] (numeric) = 7.2817031195173029180947684225182 absolute error = 1.1e-30 relative error = 1.5106356053594752155357250673346e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 Finished! diff ( y , x , 1 ) = 1.0 - sin(x); Iterations = 4900 Total Elapsed Time = 31 Seconds Elapsed Time(since restart) = 31 Seconds Time to Timeout = 2 Minutes 28 Seconds Percent Done = 100 % > quit memory used=661.3MB, alloc=4.5MB, time=31.87