|\^/| 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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) 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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_y_higher[1, m]) < glob_small_float*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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D1[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; > #emit pre sqrt 1 $eq_no = 1 > array_tmp3[1] := sqrt(array_tmp2[1]); > array_tmp4[1] := sinh(array_tmp3[1]); > array_tmp4_g[1] := cosh(array_tmp3[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp5[1] := array_const_0D0[1] + array_tmp4[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D1[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre sqrt 2 $eq_no = 1 > array_tmp3[2] := array_tmp2[2] / array_tmp3[1]/2.0; > #emit pre sinh FULL $eq_no = 1 > array_tmp4[2] := att(1,array_tmp4_g,array_tmp3,1); > array_tmp4_g[2] := att(1,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp5[2] := array_tmp4[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre sqrt ID_LINEAR iii = 3 $eq_no = 1 > array_tmp3[3] := 0.0; > array_tmp3[3] := -ats(3,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre sinh FULL $eq_no = 1 > array_tmp4[3] := att(2,array_tmp4_g,array_tmp3,1); > array_tmp4_g[3] := att(2,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp5[3] := array_tmp4[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre sqrt ID_LINEAR iii = 4 $eq_no = 1 > array_tmp3[4] := 0.0; > array_tmp3[4] := -ats(4,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre sinh FULL $eq_no = 1 > array_tmp4[4] := att(3,array_tmp4_g,array_tmp3,1); > array_tmp4_g[4] := att(3,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp5[4] := array_tmp4[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre sqrt ID_LINEAR iii = 5 $eq_no = 1 > array_tmp3[5] := 0.0; > array_tmp3[5] := -ats(5,array_tmp3,array_tmp3,2) / array_tmp3[1] / 2.0; > #emit pre sinh FULL $eq_no = 1 > array_tmp4[5] := att(4,array_tmp4_g,array_tmp3,1); > array_tmp4_g[5] := att(4,array_tmp4,array_tmp3,1); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp5[5] := array_tmp4[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp5[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit sqrt LINEAR $eq_no = 1 > array_tmp3[kkk] := 0.0; > array_tmp3[kkk] := -ats(kkk,array_tmp3,array_tmp3,2) /array_tmp3[1] / 2.0; > #emit sinh FULL $eq_no = 1 > array_tmp4[kkk] := att(kkk-1,array_tmp4_g,array_tmp3,1); > array_tmp4_g[kkk] := att(kkk-1,array_tmp4,array_tmp3,1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp5[kkk] := array_tmp4[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp5[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D1[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; array_tmp3[1] := sqrt(array_tmp2[1]); array_tmp4[1] := sinh(array_tmp3[1]); array_tmp4_g[1] := cosh(array_tmp3[1]); array_tmp5[1] := array_const_0D0[1] + array_tmp4[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D1[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]/(array_tmp3[1]*2.0); array_tmp4[2] := att(1, array_tmp4_g, array_tmp3, 1); array_tmp4_g[2] := att(1, array_tmp4, array_tmp3, 1); array_tmp5[2] := array_tmp4[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3[3] := 0.; array_tmp3[3] := -ats(3, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4[3] := att(2, array_tmp4_g, array_tmp3, 1); array_tmp4_g[3] := att(2, array_tmp4, array_tmp3, 1); array_tmp5[3] := array_tmp4[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := 0.; array_tmp3[4] := -ats(4, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4[4] := att(3, array_tmp4_g, array_tmp3, 1); array_tmp4_g[4] := att(3, array_tmp4, array_tmp3, 1); array_tmp5[4] := array_tmp4[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := 0.; array_tmp3[5] := -ats(5, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0) ; array_tmp4[5] := att(4, array_tmp4_g, array_tmp3, 1); array_tmp4_g[5] := att(4, array_tmp4, array_tmp3, 1); array_tmp5[5] := array_tmp4[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3[kkk] := 0.; array_tmp3[kkk] := -ats(kkk, array_tmp3, array_tmp3, 2)/(array_tmp3[1]*2.0); array_tmp4[kkk] := att(kkk - 1, array_tmp4_g, array_tmp3, 1); array_tmp4_g[kkk] := att(kkk - 1, array_tmp4, array_tmp3, 1); array_tmp5[kkk] := array_tmp4[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp5[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2))); > end; exact_soln_y := proc(x) return 20.0*sqrt(0.1*x + 0.2)*cosh(sqrt(0.1*x + 0.2)) - 20.0*sinh(sqrt(0.1*x + 0.2)) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, 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_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4_g, > array_tmp4, > array_tmp5, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_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/sinh_sqrtpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));"); > 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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2)));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=32; > max_terms:=30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4_g:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4_g := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4_g[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_0D1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D1[1] := 0.1; > array_const_0D2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D2[1] := 0.2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > 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 ) = sinh(sqrt(0.1 * x + 0.2));"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 3 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-28T19:21:45-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"sinh_sqrt") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 4 > logitem_float(html_log_file,array_pole[1]) > ; > logitem_float(html_log_file,array_pole[2]) > ; > 0; > else > logitem_str(html_log_file,"NA") > ; > logitem_str(html_log_file,"NA") > ; > 0; > fi;# end if 4; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 4 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 4; > log_revs(html_log_file," 165 ") > ; > logitem_str(html_log_file,"sinh_sqrt diffeq.mxt") > ; > logitem_str(html_log_file,"sinh_sqrt 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_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4_g, array_tmp4, array_tmp5, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_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/sinh_sqrtpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));"); 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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0\ .1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2)));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4_g := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4_g[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4_g := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4_g[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_0D1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D1[term] := 0.; term := term + 1 end do; array_const_0D1[1] := 0.1; array_const_0D2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D2[term] := 0.; term := term + 1 end do; array_const_0D2[1] := 0.2; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; 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 ) = sinh(sqrt(0.1 * x + 0.2));") ; omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T19:21:45-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "sinh_sqrt"); logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2));"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 165 "); logitem_str(html_log_file, "sinh_sqrt diffeq.mxt"); logitem_str(html_log_file, "sinh_sqrt 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/sinh_sqrtpostode.ode################# diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); ! #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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2))); 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 = 3.5455006639164485130075703828345e-91 max_value3 = 3.5455006639164485130075703828345e-91 value3 = 3.5455006639164485130075703828345e-91 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.6551348095261795506943912458578 y[1] (numeric) = 0.6551348095261795506943912458578 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) = 0.6556093357445633837993339177914 y[1] (numeric) = 0.65560933574456338379933391779174 absolute error = 3.4e-31 relative error = 5.1860152298451988210808168679758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=3.8MB, alloc=2.8MB, time=0.13 x[1] = 0.102 y[1] (analytic) = 0.6560839827071326968688714423104 y[1] (numeric) = 0.6560839827071326968688714423099 absolute error = 5.0e-31 relative error = 7.6209755637822582853590894584436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 0.656558750390808663946086534993 y[1] (numeric) = 0.65655875039080866394608653499312 absolute error = 1.2e-31 relative error = 1.8277115327237882334480536604373e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 0.6570336387725303576692972414842 y[1] (numeric) = 0.65703363877253035766929724148383 absolute error = 3.7e-31 relative error = 5.6313707269422865654663254058031e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 0.6575086478292547277281383001968 y[1] (numeric) = 0.65750864782925472772813830019686 absolute error = 6e-32 relative error = 9.1253552630962676995464223668695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 0.6579837775379565793556803516654 y[1] (numeric) = 0.65798377753795657935568035166622 absolute error = 8.2e-31 relative error = 1.2462313327363109974599015501902e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=3.8MB, time=0.27 x[1] = 0.107 y[1] (analytic) = 0.6584590278756285518565097260724 y[1] (numeric) = 0.65845902787562855185650972607289 absolute error = 4.9e-31 relative error = 7.4416171584870800837899413292706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 0.6589343988192810971706917426462 y[1] (numeric) = 0.6589343988192810971706917426467 absolute error = 5.0e-31 relative error = 7.5880087744080524476764905876346e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 0.6594098903459424584735406561598 y[1] (numeric) = 0.65940989034594245847354065615931 absolute error = 4.9e-31 relative error = 7.4308864209321168702900316025461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.659885502432658648811119586627 y[1] (numeric) = 0.65988550243265864881111958662698 absolute error = 2e-32 relative error = 3.0308288220108307472574184639204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 0.660361235056493429771393968624 y[1] (numeric) = 0.66036123505649342977139396862378 absolute error = 2.2e-31 relative error = 3.3315099118617881601749884066694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.0MB, time=0.42 x[1] = 0.112 y[1] (analytic) = 0.6608370881945282901909622562696 y[1] (numeric) = 0.66083708819452829019096225627013 absolute error = 5.3e-31 relative error = 8.0201309743073282752260103018313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 0.6613130618238624248972878190104 y[1] (numeric) = 0.66131306182386242489728781901021 absolute error = 1.9e-31 relative error = 2.8730719377595719169578740535422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 0.6617891559216127134863561617272 y[1] (numeric) = 0.66178915592161271348635616172741 absolute error = 2.1e-31 relative error = 3.1732160933878158001762366742686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 0.6622653704649136991356818005704 y[1] (numeric) = 0.66226537046491369913568180057116 absolute error = 7.6e-31 relative error = 1.1475762343824139375324361984680e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 0.6627417054309175674525893230842 y[1] (numeric) = 0.66274170543091756745258932308405 absolute error = 1.5e-31 relative error = 2.2633251954842549291624384208233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.117 y[1] (analytic) = 0.6632181607967941253576933578264 y[1] (numeric) = 0.66321816079679412535769335782679 absolute error = 3.9e-31 relative error = 5.8804179839021861159215047339664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.1MB, time=0.57 x[1] = 0.118 y[1] (analytic) = 0.6636947365397307800035023747022 y[1] (numeric) = 0.6636947365397307800035023747024 absolute error = 2.0e-31 relative error = 3.0134335710228642648494501529281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 0.6641714326369325177280714325834 y[1] (numeric) = 0.66417143263693251772807143258287 absolute error = 5.3e-31 relative error = 7.9798674552406266859687654772328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.6646482490656218830436291856422 y[1] (numeric) = 0.6646482490656218830436291856424 absolute error = 2.0e-31 relative error = 3.0091104622808334595926185831197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 0.6651251858030389576601046540048 y[1] (numeric) = 0.66512518580303895766010465400457 absolute error = 2.3e-31 relative error = 3.4579956511842124526976905772169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 0.6656022428264413395434794579172 y[1] (numeric) = 0.66560224282644133954347945791747 absolute error = 2.7e-31 relative error = 4.0564767157854013796717029095928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 0.6660794201131041220088914076842 y[1] (numeric) = 0.66607942011310412200889140768387 absolute error = 3.3e-31 relative error = 4.9543641499081911173780243677067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.1MB, time=0.72 x[1] = 0.124 y[1] (analytic) = 0.6665567176403198728484155339944 y[1] (numeric) = 0.6665567176403198728484155339943 absolute error = 1.0e-31 relative error = 1.5002474261156710522931401701708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 0.667034135385398613493448835143 y[1] (numeric) = 0.66703413538539861349344883514235 absolute error = 6.5e-31 relative error = 9.7446287306487449824431359836421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 0.6675116733256677982116252088446 y[1] (numeric) = 0.66751167332566779821162520884474 absolute error = 1.4e-31 relative error = 2.0973415985745066955474651477863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 0.6679893314384722933381872270468 y[1] (numeric) = 0.66798933143847229333818722704673 absolute error = 7e-32 relative error = 1.0479209278576272762733468236734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 0.6684671097011743565417416021668 y[1] (numeric) = 0.66846710970117435654174160216758 absolute error = 7.8e-31 relative error = 1.1668487329895472695044861758151e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.1MB, time=0.87 x[1] = 0.129 y[1] (analytic) = 0.6689450080911536161243253827336 y[1] (numeric) = 0.66894500809115361612432538273361 absolute error = 1e-32 relative error = 1.4948911912109451935826719067687e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.6694230265858070503557101052594 y[1] (numeric) = 0.66942302658580705035571010525967 absolute error = 2.7e-31 relative error = 4.0333240608267489275135383876991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 0.6699011651625489668418713175754 y[1] (numeric) = 0.66990116516254896684187131757571 absolute error = 3.1e-31 relative error = 4.6275483029616716733769605325331e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 0.6703794237988109819275510765554 y[1] (numeric) = 0.67037942379881098192755107655566 absolute error = 2.6e-31 relative error = 3.8784006604300128706865736077779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 0.670857802472042000132841210393 y[1] (numeric) = 0.6708578024720420001328412103929 absolute error = 1.0e-31 relative error = 1.4906288580308716039936200437304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 0.6713363011597081936237153221818 y[1] (numeric) = 0.67133630115970819362371532218247 absolute error = 6.7e-31 relative error = 9.9800949068685875668605867344450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.2MB, time=1.03 x[1] = 0.135 y[1] (analytic) = 0.6718149198392929817164376976164 y[1] (numeric) = 0.67181491983929298171643769761664 absolute error = 2.4e-31 relative error = 3.5724124742185120818850829679847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 0.67229365848829701041577746508 y[1] (numeric) = 0.67229365848829701041577746507951 absolute error = 4.9e-31 relative error = 7.2884816599609455113599289094728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 0.6727725170842381319869565413404 y[1] (numeric) = 0.67277251708423813198695654134028 absolute error = 1.2e-31 relative error = 1.7836638232500027813066964833361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 0.673251495604651384561260080395 y[1] (numeric) = 0.67325149560465138456126008039513 absolute error = 1.3e-31 relative error = 1.9309277565472942002392595243973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 0.6737305940270889717752383267968 y[1] (numeric) = 0.67373059402708897177523832679687 absolute error = 7e-32 relative error = 1.0389909649432586151430202581973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.6742098123291202424434289580404 y[1] (numeric) = 0.67420981232912024244342895804122 absolute error = 8.2e-31 relative error = 1.2162386025905408452381644570742e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.2MB, time=1.18 x[1] = 0.141 y[1] (analytic) = 0.6746891504883316702645291832504 y[1] (numeric) = 0.67468915048833167026452918325077 absolute error = 3.7e-31 relative error = 5.4840069642767869016307827492007e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 0.6751686084823268335609470475148 y[1] (numeric) = 0.67516860848232683356094704751457 absolute error = 2.3e-31 relative error = 3.4065564824911504156507313036194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 0.6756481862887263950516615728042 y[1] (numeric) = 0.67564818628872639505166157280448 absolute error = 2.8e-31 relative error = 4.1441686025683626106770227521812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 0.6761278838851680816583215474008 y[1] (numeric) = 0.67612788388516808165832154740119 absolute error = 3.9e-31 relative error = 5.7681395679021670578590515304756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 0.6766077012493066643445129562244 y[1] (numeric) = 0.67660770124930666434451295622469 absolute error = 2.9e-31 relative error = 4.2860877797361188363805049877200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.2MB, time=1.34 x[1] = 0.146 y[1] (analytic) = 0.677087638358813937988125224378 y[1] (numeric) = 0.6770876383588139379881252243784 absolute error = 4.0e-31 relative error = 5.9076547456922424810596379753686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 0.6775676951913787012867466255844 y[1] (numeric) = 0.67756769519137870128674662558456 absolute error = 1.6e-31 relative error = 2.3613876685016405552918479511038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.148 y[1] (analytic) = 0.6780478717247067366960193860134 y[1] (numeric) = 0.67804787172470673669601938601305 absolute error = 3.5e-31 relative error = 5.1618774218659152140818252074513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 0.6785281679365207904008851922878 y[1] (numeric) = 0.67852816793652079040088519228833 absolute error = 5.3e-31 relative error = 7.8110242882294573332676946088007e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.6790085838045605523196519902016 y[1] (numeric) = 0.67900858380456055231965199020171 absolute error = 1.1e-31 relative error = 1.6200089751981893344516845181123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 0.6794891193065826361408131378602 y[1] (numeric) = 0.67948911930658263614081313786021 absolute error = 1e-32 relative error = 1.4716939117737427682576631059121e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=1.49 x[1] = 0.152 y[1] (analytic) = 0.6799697744203605593925501536706 y[1] (numeric) = 0.67996977442036055939255015367138 absolute error = 7.8e-31 relative error = 1.1471098118514313223067609053541e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 0.6804505491236847235448504756968 y[1] (numeric) = 0.68045054912368472354485047569652 absolute error = 2.8e-31 relative error = 4.1149206266435787384228946858093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.154 y[1] (analytic) = 0.6809314433943623941441718245052 y[1] (numeric) = 0.68093144339436239414417182450579 absolute error = 5.9e-31 relative error = 8.6646020788659729726592264341084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.155 y[1] (analytic) = 0.6814124572102176809805849367384 y[1] (numeric) = 0.68141245721021768098058493673852 absolute error = 1.2e-31 relative error = 1.7610479340412125562450734519580e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.156 y[1] (analytic) = 0.6818935905490915182873266111136 y[1] (numeric) = 0.68189359054909151828732661111328 absolute error = 3.2e-31 relative error = 4.6928143105483884445672697173816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.157 y[1] (analytic) = 0.6823748433888416449726951826464 y[1] (numeric) = 0.68237484338884164497269518264616 absolute error = 2.4e-31 relative error = 3.5171284862745064208304870827251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.3MB, time=1.64 x[1] = 0.158 y[1] (analytic) = 0.6828562157073425848842207143246 y[1] (numeric) = 0.68285621570734258488422071432474 absolute error = 1.4e-31 relative error = 2.0502119886977930666617486200473e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.159 y[1] (analytic) = 0.6833377074824856271050423684502 y[1] (numeric) = 0.68333770748248562710504236845031 absolute error = 1.1e-31 relative error = 1.6097457932660531368223244612163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.683819318692178806282425592305 y[1] (numeric) = 0.68381931869217880628242559230518 absolute error = 1.8e-31 relative error = 2.6322742730382991839964522000803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.161 y[1] (analytic) = 0.6843010493143468829883519247254 y[1] (numeric) = 0.68430104931434688298835192472548 absolute error = 8e-32 relative error = 1.1690760971382122970973484955105e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 0.6847828993269313241121144015664 y[1] (numeric) = 0.68478289932693132411211440156642 absolute error = 2e-32 relative error = 2.9206336810772977019085288498483e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.3MB, time=1.80 x[1] = 0.163 y[1] (analytic) = 0.6852648687078902832848517089364 y[1] (numeric) = 0.68526486870789028328485170893655 absolute error = 1.5e-31 relative error = 2.1889346273191323833852782256875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 0.6857469574351985813359544034536 y[1] (numeric) = 0.68574695743519858133595440345333 absolute error = 2.7e-31 relative error = 3.9373124017909236285012501178955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.165 y[1] (analytic) = 0.6862291654868476867812766886356 y[1] (numeric) = 0.68622916548684768678127668863526 absolute error = 3.4e-31 relative error = 4.9546130811678021328883648545774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 0.686711492840845696343087405898 y[1] (numeric) = 0.68671149284084569634308740589794 absolute error = 6e-32 relative error = 8.7372936998312010115761442257345e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.167 y[1] (analytic) = 0.6871939394752173155016940674648 y[1] (numeric) = 0.6871939394752173155016940674646 absolute error = 2.0e-31 relative error = 2.9103865519060317494025275339682e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 0.6876765053680038390786739268378 y[1] (numeric) = 0.68767650536800383907867392683754 absolute error = 2.6e-31 relative error = 3.7808475056285856428345654404085e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=1.95 x[1] = 0.169 y[1] (analytic) = 0.6881591904972631318516462503072 y[1] (numeric) = 0.68815919049726313185164625030717 absolute error = 3e-32 relative error = 4.3594564185536823945332106785872e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.6886419948410696092005201203024 y[1] (numeric) = 0.68864199484106960920052012030198 absolute error = 4.2e-31 relative error = 6.0989600277998005345123179282409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.171 y[1] (analytic) = 0.6891249183775142177851522682072 y[1] (numeric) = 0.68912491837751421778515226820731 absolute error = 1.1e-31 relative error = 1.5962272886458032616367604851181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 0.6896079610847044162543496006052 y[1] (numeric) = 0.68960796108470441625434960060509 absolute error = 1.1e-31 relative error = 1.5951091954764820453330285144786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.173 y[1] (analytic) = 0.6900911229407641559861512487126 y[1] (numeric) = 0.69009112294076415598615124871236 absolute error = 2.4e-31 relative error = 3.4778015833222223785956327621188e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.174 y[1] (analytic) = 0.6905744039238338618593251361258 y[1] (numeric) = 0.69057440392383386185932513612526 absolute error = 5.4e-31 relative error = 7.8195773971888871401552664206286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.3MB, time=2.11 x[1] = 0.175 y[1] (analytic) = 0.691057804012070413056014224809 y[1] (numeric) = 0.69105780401207041305601422480908 absolute error = 8e-32 relative error = 1.1576455621446491036116745753619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.176 y[1] (analytic) = 0.6915413231836471238954677636152 y[1] (numeric) = 0.69154132318364712389546776361508 absolute error = 1.2e-31 relative error = 1.7352542209271933169773143670184e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 0.6920249614167537246987930274538 y[1] (numeric) = 0.69202496141675372469879302745358 absolute error = 2.2e-31 relative error = 3.1790760776837184107358822008270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.178 y[1] (analytic) = 0.692508718689596342684663198612 y[1] (numeric) = 0.69250871868959634268466319861149 absolute error = 5.1e-31 relative error = 7.3645282179991967628481955188873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 0.6929925949803974828959172045726 y[1] (numeric) = 0.69299259498039748289591720457259 absolute error = 1e-32 relative error = 1.4430168622917056750434007860217e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.6934765902673960091569874890826 y[1] (numeric) = 0.69347659026739600915698748908272 absolute error = 1.2e-31 relative error = 1.7304116921052732570719656687787e-29 % Correct digits = 30 h = 0.001 memory used=57.2MB, alloc=4.3MB, time=2.27 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 0.6939607045288471250620918551014 y[1] (numeric) = 0.69396070452884712506209185510065 absolute error = 7.5e-31 relative error = 1.0807528367318720245457142417855e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.182 y[1] (analytic) = 0.69444493774302235499412567969 y[1] (numeric) = 0.69444493774302235499412567969085 absolute error = 8.5e-31 relative error = 1.2239991305322761443376264959015e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 0.6949292898882095251741909618484 y[1] (numeric) = 0.69492928988820952517419096184817 absolute error = 2.3e-31 relative error = 3.3096892496357316191733033167541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.184 y[1] (analytic) = 0.6954137609427127447416988246984 y[1] (numeric) = 0.69541376094271274474169882469826 absolute error = 1.4e-31 relative error = 2.0131899577341411381592782397871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.185 y[1] (analytic) = 0.6958983508848523868649822534922 y[1] (numeric) = 0.69589835088485238686498225349309 absolute error = 8.9e-31 relative error = 1.2789224157067514930115179493097e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.3MB, time=2.42 x[1] = 0.186 y[1] (analytic) = 0.6963830596929650698823560103198 y[1] (numeric) = 0.69638305969296506988235601031967 absolute error = 1.3e-31 relative error = 1.8667886616500541042370193675258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.187 y[1] (analytic) = 0.696867887345403638473560825463 y[1] (numeric) = 0.69686788734540363847356082546393 absolute error = 9.3e-31 relative error = 1.3345427689926599701262378240735e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 0.6973528338205371448615291239214 y[1] (numeric) = 0.6973528338205371448615291239221 absolute error = 7.0e-31 relative error = 1.0037960212550654091857770180247e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.189 y[1] (analytic) = 0.6978378990967508300444097036296 y[1] (numeric) = 0.69783789909675083004440970363035 absolute error = 7.5e-31 relative error = 1.0747481628194246629166185145142e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 0.6983230831524461050577889395924 y[1] (numeric) = 0.6983230831524461050577889395922 absolute error = 2.0e-31 relative error = 2.8640038518723771986662961181025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.191 y[1] (analytic) = 0.698808385966040532267046245223 y[1] (numeric) = 0.69880838596604053226704624522269 absolute error = 3.1e-31 relative error = 4.4361230664319022326871533133151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.3MB, time=2.57 x[1] = 0.192 y[1] (analytic) = 0.699293807515967806689781678901 y[1] (numeric) = 0.69929380751596780668978167890153 absolute error = 5.3e-31 relative error = 7.5790746936922915628760307560673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.193 y[1] (analytic) = 0.6997793477806777373482537399352 y[1] (numeric) = 0.69977934778067773734825373993484 absolute error = 3.6e-31 relative error = 5.1444787723691135916744314834157e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 0.7002650067386362286517655538686 y[1] (numeric) = 0.700265006738636228651765553869 absolute error = 4.0e-31 relative error = 5.7121232126524666757547141949640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.195 y[1] (analytic) = 0.7007507843683252618089378023816 y[1] (numeric) = 0.70075078436832526180893780238173 absolute error = 1.3e-31 relative error = 1.8551531143441435571244783610570e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 0.7012366806482428762698069077964 y[1] (numeric) = 0.70123668064824287626980690779656 absolute error = 1.6e-31 relative error = 2.2816832663700864545071532334725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.197 y[1] (analytic) = 0.7017226955569031511976871366288 y[1] (numeric) = 0.70172269555690315119768713662904 absolute error = 2.4e-31 relative error = 3.4201544501782220526770266240320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=2.73 x[1] = 0.198 y[1] (analytic) = 0.7022088290728361869707354404764 y[1] (numeric) = 0.70220882907283618697073544047742 absolute error = 1.02e-30 relative error = 1.4525593495410196781088043484295e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.199 y[1] (analytic) = 0.7026950811745880867131580060188 y[1] (numeric) = 0.70269508117458808671315800601949 absolute error = 6.9e-31 relative error = 9.8193372699668303117740009119332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 0.7031814518407209378559976388712 y[1] (numeric) = 0.70318145184072093785599763887148 absolute error = 2.8e-31 relative error = 3.9819025269657335899752019028240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.201 y[1] (analytic) = 0.703667941049812793727441258606 y[1] (numeric) = 0.70366794104981279372744125860674 absolute error = 7.4e-31 relative error = 1.0516323919716775225114585331118e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.202 y[1] (analytic) = 0.7041545487804576551725869343224 y[1] (numeric) = 0.70415454878045765517258693432215 absolute error = 2.5e-31 relative error = 3.5503569554862787529641777973543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.3MB, time=2.88 x[1] = 0.203 y[1] (analytic) = 0.704641275011265452202610041781 y[1] (numeric) = 0.70464127501126545220261004178101 absolute error = 1e-32 relative error = 1.4191618281004224458150936481425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.204 y[1] (analytic) = 0.7051281197208620256732682743536 y[1] (numeric) = 0.70512811972086202567326827435378 absolute error = 1.8e-31 relative error = 2.5527275819216558917343803283442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 0.7056150828878891089926853907242 y[1] (numeric) = 0.70561508288788910899268539072385 absolute error = 3.5e-31 relative error = 4.9602114309624156986874718210000e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.206 y[1] (analytic) = 0.7061021644910043098583537326262 y[1] (numeric) = 0.70610216449100430985835373262641 absolute error = 2.1e-31 relative error = 2.9740738743008822019148139379533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 0.7065893645088810920232956957458 y[1] (numeric) = 0.70658936450888109202329569574574 absolute error = 6e-32 relative error = 8.4914949210569192655754238721745e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.208 y[1] (analytic) = 0.707076682920208757091324486312 y[1] (numeric) = 0.70707668292020875709132448631131 absolute error = 6.9e-31 relative error = 9.7584889541303711220818793496616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=3.04 x[1] = 0.209 y[1] (analytic) = 0.7075641197036924263413446449078 y[1] (numeric) = 0.70756411970369242634134464490777 absolute error = 3e-32 relative error = 4.2398984296381704830443202373225e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = 0.7080516748380530225806329675494 y[1] (numeric) = 0.70805167483805302258063296754926 absolute error = 1.4e-31 relative error = 1.9772568157828463083543643496376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 0.708539348302027252027040602167 y[1] (numeric) = 0.70853934830202725202704060216646 absolute error = 5.4e-31 relative error = 7.6213127936236447945348584271425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.212 y[1] (analytic) = 0.7090271400743675862200572463164 y[1] (numeric) = 0.70902714007436758622005724631655 absolute error = 1.5e-31 relative error = 2.1155748704382032589298351556631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 0.709515050133842243960678519153 y[1] (numeric) = 0.70951505013384224396067851915342 absolute error = 4.2e-31 relative error = 5.9195361665798576031030757997276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.214 y[1] (analytic) = 0.710003078459235173280017727489 y[1] (numeric) = 0.71000307845923517328001772748953 absolute error = 5.3e-31 relative error = 7.4647563662701773761082196519720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.3MB, time=3.20 x[1] = 0.215 y[1] (analytic) = 0.7104912250293460334366033921428 y[1] (numeric) = 0.71049122502934603343660339214307 absolute error = 2.7e-31 relative error = 3.8001876798527378931128576385238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.216 y[1] (analytic) = 0.7109794898229901769423040466964 y[1] (numeric) = 0.71097948982299017694230404669631 absolute error = 9e-32 relative error = 1.2658593009821837911003523296214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 0.7114678728189986316168219662934 y[1] (numeric) = 0.71146787281899863161682196629426 absolute error = 8.6e-31 relative error = 1.2087685654623912503878638677360e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.218 y[1] (analytic) = 0.7119563739962180826706976291892 y[1] (numeric) = 0.71195637399621808267069762918893 absolute error = 2.7e-31 relative error = 3.7923671991935034199577343857772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.219 y[1] (analytic) = 0.712444993333510854816766858384 y[1] (numeric) = 0.71244499333351085481676685838465 absolute error = 6.5e-31 relative error = 9.1235113739612033777598658431089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 0.7129337308097548944100127349664 y[1] (numeric) = 0.71293373080975489441001273496568 absolute error = 7.2e-31 relative error = 1.0099115371946550906428405600485e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=83.9MB, alloc=4.3MB, time=3.36 TOP MAIN SOLVE Loop x[1] = 0.221 y[1] (analytic) = 0.7134225864038437516157545184896 y[1] (numeric) = 0.71342258640384375161575451849005 absolute error = 4.5e-31 relative error = 6.3076219981809018147353168999198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 0.7139115600946865626061159532142 y[1] (numeric) = 0.71391156009468656260611595321504 absolute error = 8.4e-31 relative error = 1.1766163303037007051368102734521e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.223 y[1] (analytic) = 0.7144006518612080317847154818804 y[1] (numeric) = 0.71440065186120803178471548188057 absolute error = 1.7e-31 relative error = 2.3796170896135628659339374008596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.224 y[1] (analytic) = 0.7148898616823484140395210313192 y[1] (numeric) = 0.71488986168234841403952103131939 absolute error = 1.9e-31 relative error = 2.6577520564199008823145206316684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.225 y[1] (analytic) = 0.7153791895370634970238121762882 y[1] (numeric) = 0.71537918953706349702381217628789 absolute error = 3.1e-31 relative error = 4.3333661998276374165474659508852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.3MB, time=3.51 x[1] = 0.226 y[1] (analytic) = 0.7158686354043245834651926296208 y[1] (numeric) = 0.71586863540432458346519262962077 absolute error = 3e-32 relative error = 4.1907130046360973895417894005279e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.227 y[1] (analytic) = 0.7163581992631184735025961481078 y[1] (numeric) = 0.71635819926311847350259614810738 absolute error = 4.2e-31 relative error = 5.8629886617062916776482814312164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 0.716847881092447447051229084369 y[1] (numeric) = 0.71684788109244744705122908436929 absolute error = 2.9e-31 relative error = 4.0454886964030865258886492907407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.229 y[1] (analytic) = 0.7173376808713292461953929554884 y[1] (numeric) = 0.71733768087132924619539295548865 absolute error = 2.5e-31 relative error = 3.4851089893442131903707037120145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 0.7178275985787970576091305391966 y[1] (numeric) = 0.71782759857879705760913053919643 absolute error = 1.7e-31 relative error = 2.3682566724458259214563738476991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.231 y[1] (analytic) = 0.7183176341938994950046391480798 y[1] (numeric) = 0.71831763419389949500463914808049 absolute error = 6.9e-31 relative error = 9.6057783792865155014833779726330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.3MB, time=3.67 x[1] = 0.232 y[1] (analytic) = 0.7188077876957005816083948715164 y[1] (numeric) = 0.71880778769570058160839487151655 absolute error = 1.5e-31 relative error = 2.0867887433559757158743693955675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.233 y[1] (analytic) = 0.7192980590632797326649317138616 y[1] (numeric) = 0.71929805906327973266493171386216 absolute error = 5.6e-31 relative error = 7.7853678728018700274442831116541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.234 y[1] (analytic) = 0.7197884482757317379682196958858 y[1] (numeric) = 0.71978844827573173796821969588598 absolute error = 1.8e-31 relative error = 2.5007347704897704270120470180901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 0.720278955312166744420586124433 y[1] (numeric) = 0.72027895531216674442058612443332 absolute error = 3.2e-31 relative error = 4.4427231649620105494153811077477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.236 y[1] (analytic) = 0.7207695801517102386191243729564 y[1] (numeric) = 0.72076958015171023861912437295576 absolute error = 6.4e-31 relative error = 8.8793980437588728480843423490943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 0.7212603227735030294695346527582 y[1] (numeric) = 0.72126032277350302946953465275833 absolute error = 1.3e-31 relative error = 1.8024005465891103280401691472387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.3MB, time=3.82 x[1] = 0.238 y[1] (analytic) = 0.7217511831567012308273413916444 y[1] (numeric) = 0.72175118315670123082734139164441 absolute error = 1e-32 relative error = 1.3855190311241754660042395502125e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 0.7222421612804762441664319730668 y[1] (numeric) = 0.72224216128047624416643197306686 absolute error = 6e-32 relative error = 8.3074629558630183479246864187805e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = 0.722733257124014741274861724926 y[1] (numeric) = 0.72273325712401474127486172492567 absolute error = 3.3e-31 relative error = 4.5659999280118206879008707305498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 0.7232244706665186469778701827882 y[1] (numeric) = 0.72322447066651864697787018278872 absolute error = 5.2e-31 relative error = 7.1900222004486603325466988129330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.242 y[1] (analytic) = 0.7237158018872051218880537875552 y[1] (numeric) = 0.72371580188720512188805378755453 absolute error = 6.7e-31 relative error = 9.2577776836275711241306675651677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.3MB, time=3.98 x[1] = 0.243 y[1] (analytic) = 0.7242072507653065451826403124246 y[1] (numeric) = 0.72420725076530654518264031242532 absolute error = 7.2e-31 relative error = 9.9419054316169780150594792827986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.244 y[1] (analytic) = 0.7246988172800704974078104485174 y[1] (numeric) = 0.72469881728007049740781044851685 absolute error = 5.5e-31 relative error = 7.5893597020656434343754187922876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.245 y[1] (analytic) = 0.7251905014107597433100121124992 y[1] (numeric) = 0.72519050141075974331001211249945 absolute error = 2.5e-31 relative error = 3.4473700291669418484630123373898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.246 y[1] (analytic) = 0.7256823031366522146942131733434 y[1] (numeric) = 0.72568230313665221469421317334375 absolute error = 3.5e-31 relative error = 4.8230471996792237037494782195440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.247 y[1] (analytic) = 0.7261742224370409933090384285356 y[1] (numeric) = 0.7261742224370409933090384285362 absolute error = 6.0e-31 relative error = 8.2624800145948413013556300893602e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.248 y[1] (analytic) = 0.7266662592912342937587367930344 y[1] (numeric) = 0.72666625929123429375873679303501 absolute error = 6.1e-31 relative error = 8.3945001188712598343208564811222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=103.0MB, alloc=4.3MB, time=4.13 x[1] = 0.249 y[1] (analytic) = 0.727158413678555446441924796757 y[1] (numeric) = 0.72715841367855544644192479675738 absolute error = 3.8e-31 relative error = 5.2258214008368908554859265471349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 0.7276506855783428805170526185262 y[1] (numeric) = 0.72765068557834288051705261852585 absolute error = 3.5e-31 relative error = 4.8100002781117021608645279728885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.251 y[1] (analytic) = 0.7281430749699501068945390161562 y[1] (numeric) = 0.72814307496995010689453901615601 absolute error = 1.9e-31 relative error = 2.6093772849222132731039576498994e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 0.7286355818327457012555216437412 y[1] (numeric) = 0.72863558183274570125552164374105 absolute error = 1.5e-31 relative error = 2.0586422587640206230764684531968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.253 y[1] (analytic) = 0.7291282061461132870971693781828 y[1] (numeric) = 0.72912820614611328709716937818231 absolute error = 4.9e-31 relative error = 6.7203544708542888516444548199770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 0.7296209478894515188045034076294 y[1] (numeric) = 0.72962094788945151880450340762983 absolute error = 4.3e-31 relative error = 5.8934711406497532244212937499378e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.3MB, time=4.29 x[1] = 0.255 y[1] (analytic) = 0.7301138070421740647486739647344 y[1] (numeric) = 0.73011380704217406474867396473459 absolute error = 1.9e-31 relative error = 2.6023340220030231484971319871582e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 0.7306067835837095904116397174762 y[1] (numeric) = 0.73060678358370959041163971747583 absolute error = 3.7e-31 relative error = 5.0642836654911388304039464514385e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.257 y[1] (analytic) = 0.7310998774935017415371969598138 y[1] (numeric) = 0.73109987749350174153719695981362 absolute error = 1.8e-31 relative error = 2.4620439086532318529422794755028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 0.7315930887510091273083058735302 y[1] (numeric) = 0.7315930887510091273083058735301 absolute error = 1.0e-31 relative error = 1.3668800531005845208119287576609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.259 y[1] (analytic) = 0.7320864173357053035506612613634 y[1] (numeric) = 0.73208641733570530355066126136399 absolute error = 5.9e-31 relative error = 8.0591578538937677985847631455407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = 0.7325798632270787559624552799122 y[1] (numeric) = 0.73257986322707875596245527991272 absolute error = 5.2e-31 relative error = 7.0982022043215090036848500247246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=110.6MB, alloc=4.3MB, time=4.44 TOP MAIN SOLVE Loop x[1] = 0.261 y[1] (analytic) = 0.733073426404632883370279828777 y[1] (numeric) = 0.73307342640463288337027982877677 absolute error = 2.3e-31 relative error = 3.1374756158879972755134287509555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 0.7335671068478859810111163800518 y[1] (numeric) = 0.73356710684788598101111638005231 absolute error = 5.1e-31 relative error = 6.9523291766918697629121976169630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.263 y[1] (analytic) = 0.7340609045363712238403611595418 y[1] (numeric) = 0.73406090453637122384036115954231 absolute error = 5.1e-31 relative error = 6.9476523929865623018609689292506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 0.734554819449636649865833717954 y[1] (numeric) = 0.73455481944963664986583371795439 absolute error = 3.9e-31 relative error = 5.3093382505094244518684667008212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.265 y[1] (analytic) = 0.7350488515672451435077170568866 y[1] (numeric) = 0.73504885156724514350771705688662 absolute error = 2e-32 relative error = 2.7209075910202033402818121624131e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.3MB, time=4.59 x[1] = 0.266 y[1] (analytic) = 0.7355430008687744189843776005716 y[1] (numeric) = 0.73554300086877441898437760057186 absolute error = 2.6e-31 relative error = 3.5348035355228084723833254084258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 0.7360372673338170037240134301582 y[1] (numeric) = 0.736037267333817003724013430158 absolute error = 2.0e-31 relative error = 2.7172537163025666553184687782440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.268 y[1] (analytic) = 0.7365316509419802218020793227472 y[1] (numeric) = 0.73653165094198022180207932274692 absolute error = 2.8e-31 relative error = 3.8016017321441194783030890625066e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 0.7370261516728861774044372625 y[1] (numeric) = 0.73702615167288617740443726250036 absolute error = 3.6e-31 relative error = 4.8844942500734839400754179471375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (analytic) = 0.7375207695061717383161812158466 y[1] (numeric) = 0.73752076950617173831618121584719 absolute error = 5.9e-31 relative error = 7.9997747100064922088969529114785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 0.7380155044214885194360850871946 y[1] (numeric) = 0.73801550442148851943608508719538 absolute error = 7.8e-31 relative error = 1.0568883652538195020357503276475e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.3MB, time=4.75 x[1] = 0.272 y[1] (analytic) = 0.738510356398502866316622895564 y[1] (numeric) = 0.7385103563985028663166228955639 absolute error = 1.0e-31 relative error = 1.3540771518448366535512517276383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 0.7390053254168958387295103362064 y[1] (numeric) = 0.73900532541689583872951033620652 absolute error = 1.2e-31 relative error = 1.6238042659882630190767112462730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.274 y[1] (analytic) = 0.7395004114563631942567170146022 y[1] (numeric) = 0.73950041145636319425671701460207 absolute error = 1.3e-31 relative error = 1.7579435790168063246104198021563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 0.739995614496615371906898763135 y[1] (numeric) = 0.73999561449661537190689876313497 absolute error = 3e-32 relative error = 4.0540780799637043613331725716018e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.276 y[1] (analytic) = 0.7404909345173774757571995733872 y[1] (numeric) = 0.74049093451737747575719957338748 absolute error = 2.8e-31 relative error = 3.7812751912012651142504970584100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.277 y[1] (analytic) = 0.740986371498389258620372799212 y[1] (numeric) = 0.74098637149838925862037279921211 absolute error = 1.1e-31 relative error = 1.4845077349744362444554082792430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.3MB, time=4.90 x[1] = 0.278 y[1] (analytic) = 0.74148192541940510573717140765 y[1] (numeric) = 0.74148192541940510573717140764956 absolute error = 4.4e-31 relative error = 5.9340623812390624890086968040857e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 0.7419775962601940184939571763058 y[1] (numeric) = 0.74197759626019401849395717630683 absolute error = 1.03e-30 relative error = 1.3881820761051703334946941468599e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (analytic) = 0.7424733840005395981654788570112 y[1] (numeric) = 0.74247338400053959816547885701144 absolute error = 2.4e-31 relative error = 3.2324391038349406768627662286945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.281 y[1] (analytic) = 0.7429692886202400296827694464138 y[1] (numeric) = 0.74296928862024002968276944641336 absolute error = 4.4e-31 relative error = 5.9221828780718391093413992120713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 0.7434653100991080654261128247164 y[1] (numeric) = 0.74346531009910806542611282471668 absolute error = 2.8e-31 relative error = 3.7661474744890846483394715729625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.283 y[1] (analytic) = 0.7439614484169710090430301438896 y[1] (numeric) = 0.7439614484169710090430301438898 memory used=125.8MB, alloc=4.3MB, time=5.05 absolute error = 2.0e-31 relative error = 2.6883113422821502264009640369558e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 0.7444577035536706992912364665266 y[1] (numeric) = 0.74445770355367069929123646652681 absolute error = 2.1e-31 relative error = 2.8208452810356381263162425527678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.285 y[1] (analytic) = 0.7449540754890634939065182760152 y[1] (numeric) = 0.74495407548906349390651827601511 absolute error = 9e-32 relative error = 1.2081281646914256005501303789550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.286 y[1] (analytic) = 0.7454505642030202534954825978064 y[1] (numeric) = 0.74545056420302025349548259780633 absolute error = 7e-32 relative error = 9.3902940532131385186255568563398e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.287 y[1] (analytic) = 0.7459471696754263254531285903902 y[1] (numeric) = 0.74594716967542632545312859039005 absolute error = 1.5e-31 relative error = 2.0108662663773819975755854333292e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.288 y[1] (analytic) = 0.7464438918861815279051925830342 y[1] (numeric) = 0.74644389188618152790519258303424 absolute error = 4e-32 relative error = 5.3587416863877610657646142564722e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.3MB, time=5.21 x[1] = 0.289 y[1] (analytic) = 0.7469407308152001336752176554838 y[1] (numeric) = 0.74694073081520013367521765548354 absolute error = 2.6e-31 relative error = 3.4808652048769628879106458185069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 0.7474376864424108542762989725972 y[1] (numeric) = 0.74743768644241085427629897259774 absolute error = 5.4e-31 relative error = 7.2246825360150786233790611239153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.291 y[1] (analytic) = 0.747934758747756823927456204369 y[1] (numeric) = 0.74793475874775682392745620436908 absolute error = 8e-32 relative error = 1.0696120091268579888897680726897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 0.748431947711195583594584478879 y[1] (numeric) = 0.74843194771119558359458447887948 absolute error = 4.8e-31 relative error = 6.4134087470197367501372646667565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.293 y[1] (analytic) = 0.748929253312699065055935432548 y[1] (numeric) = 0.7489292533126990650559354325486 absolute error = 6.0e-31 relative error = 8.0114376270662656894007541148637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 0.749426675532253574992080038482 y[1] (numeric) = 0.74942667553225357499208003848176 absolute error = 2.4e-31 relative error = 3.2024480557694127628834321205203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.3MB, time=5.37 x[1] = 0.295 y[1] (analytic) = 0.7499242143498597791003050098538 y[1] (numeric) = 0.74992421434985977910030500985431 absolute error = 5.1e-31 relative error = 6.8006871926670620626782805152882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 0.7504218697455326862333946910672 y[1] (numeric) = 0.75042186974553268623339469106726 absolute error = 6e-32 relative error = 7.9955025858116236207580550881476e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 0.7509196416993016325627504648784 y[1] (numeric) = 0.75091964169930163256275046487854 absolute error = 1.4e-31 relative error = 1.8643805838289900503615851068282e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.298 y[1] (analytic) = 0.751417530191210265765799818856 y[1] (numeric) = 0.75141753019121026576579981885696 absolute error = 9.6e-31 relative error = 1.2775853123305661672423187609234e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.299 y[1] (analytic) = 0.7519155352013165292376473293218 y[1] (numeric) = 0.75191553520131652923764732932184 absolute error = 4e-32 relative error = 5.3197464512141607873778984734462e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 0.7524136567096926463269199354222 y[1] (numeric) = 0.75241365670969264632691993542252 absolute error = 3.2e-31 relative error = 4.2529796893820486286705726117409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.3MB, time=5.52 x[1] = 0.301 y[1] (analytic) = 0.7529118946964251045957589901788 y[1] (numeric) = 0.75291189469642510459575899017878 absolute error = 2e-32 relative error = 2.6563533051983488410450716097783e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.302 y[1] (analytic) = 0.7534102491416146401039116891466 y[1] (numeric) = 0.75341024914161464010391168914699 absolute error = 3.9e-31 relative error = 5.1764626303443571917647695877488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 0.753908720025376221716874590898 y[1] (numeric) = 0.75390872002537622171687459089871 absolute error = 7.1e-31 relative error = 9.4175857254456710045659339434609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.304 y[1] (analytic) = 0.7544073073278390354380420566992 y[1] (numeric) = 0.75440730732783903543804205669936 absolute error = 1.6e-31 relative error = 2.1208702307872741074198561659170e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 0.7549060110291464687648125496554 y[1] (numeric) = 0.75490601102914646876481254965552 absolute error = 1.2e-31 relative error = 1.5896018609840804658930442639636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.3MB, time=5.68 x[1] = 0.306 y[1] (analytic) = 0.7554048311094560950686058461614 y[1] (numeric) = 0.75540483110945609506860584616156 absolute error = 1.6e-31 relative error = 2.1180695887926673502134207437228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 0.7559037675489396579987443247204 y[1] (numeric) = 0.75590376754893965799874432472052 absolute error = 1.2e-31 relative error = 1.5875036631859466339436203040682e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.308 y[1] (analytic) = 0.7564028203277830559101516091414 y[1] (numeric) = 0.75640282032778305591015160914184 absolute error = 4.4e-31 relative error = 5.8170063380954659664679034444363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.309 y[1] (analytic) = 0.7569019894261863263148219547292 y[1] (numeric) = 0.75690198942618632631482195473003 absolute error = 8.3e-31 relative error = 1.0965752654834873423431999295645e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = 0.757401274824363630357013877376 y[1] (numeric) = 0.75740127482436363035701387737557 absolute error = 4.3e-31 relative error = 5.6773075817665367582172014575262e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 0.7579006765025432373121216364428 y[1] (numeric) = 0.75790067650254323731212163644251 absolute error = 2.9e-31 relative error = 3.8263589015153341946807161136638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.3MB, time=5.84 x[1] = 0.312 y[1] (analytic) = 0.7584001944409675091091782930182 y[1] (numeric) = 0.75840019444096750910917829301793 absolute error = 2.7e-31 relative error = 3.5601256695223106066282217068396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.313 y[1] (analytic) = 0.7588998286198928848769441754468 y[1] (numeric) = 0.75889982861989288487694417544727 absolute error = 4.7e-31 relative error = 6.1931757298552114446785441771287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 0.759399579019589865513534694127 y[1] (numeric) = 0.75939957901958986551353469412777 absolute error = 7.7e-31 relative error = 1.0139589502987289390206563322496e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.315 y[1] (analytic) = 0.759899445620342998279541557271 y[1] (numeric) = 0.75989944562034299827954155727107 absolute error = 7e-32 relative error = 9.2117451069931475222237786056220e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 0.760399428402450861414601548776 y[1] (numeric) = 0.76039942840245086141460154877569 absolute error = 3.1e-31 relative error = 4.0768047478848003780910584752488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.317 y[1] (analytic) = 0.760899527346226048777367138472 y[1] (numeric) = 0.7608995273462260487773671384726 absolute error = 6.0e-31 relative error = 7.8854037679929689460743109480116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.3MB, time=6.00 x[1] = 0.318 y[1] (analytic) = 0.761399742431995154508833303822 y[1] (numeric) = 0.76139974243199515450883330382276 absolute error = 7.6e-31 relative error = 9.9816161950945212817687945687443e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.319 y[1] (analytic) = 0.761900073640098757718975050655 y[1] (numeric) = 0.76190007364009875771897505065536 absolute error = 3.6e-31 relative error = 4.7250290747452320549515669249551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 0.762400520950891407196650228742 y[1] (numeric) = 0.76240052095089140719665022874091 absolute error = 1.09e-30 relative error = 1.4296947208804573939697205295088e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.321 y[1] (analytic) = 0.762901084344741606142722345894 y[1] (numeric) = 0.762901084344741606142722345895 absolute error = 1.00e-30 relative error = 1.3107859203777426491370805693607e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.322 y[1] (analytic) = 0.763401763802031796926358191907 y[1] (numeric) = 0.76340176380203179692635819190741 absolute error = 4.1e-31 relative error = 5.3706975729011118027220100584888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.323 y[1] (analytic) = 0.763902559303158345864455190888 y[1] (numeric) = 0.76390255930315834586445519088848 absolute error = 4.8e-31 relative error = 6.2835239148545610301757681337019e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=152.5MB, alloc=4.3MB, time=6.15 TOP MAIN SOLVE Loop x[1] = 0.324 y[1] (analytic) = 0.76440347082853152802415350762 y[1] (numeric) = 0.76440347082853152802415350762117 absolute error = 1.17e-30 relative error = 1.5306052950437878782725961665897e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.325 y[1] (analytic) = 0.764904498358575512048388040204 y[1] (numeric) = 0.76490449835857551204838804020389 absolute error = 1.1e-31 relative error = 1.4380880258391902537407445914749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 0.765405641873728345004435537667 y[1] (numeric) = 0.76540564187372834500443553766708 absolute error = 8e-32 relative error = 1.0451974172042735055609546657959e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.327 y[1] (analytic) = 0.765906901354441937255412187346 y[1] (numeric) = 0.76590690135444193725541218734659 absolute error = 5.9e-31 relative error = 7.7032861168457239759385326480370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 0.7664082767811820473546771226 y[1] (numeric) = 0.76640827678118204735467712260002 absolute error = 2e-32 relative error = 2.6095751580342364874474685818681e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.4MB, time=6.31 x[1] = 0.329 y[1] (analytic) = 0.766909768134428266963097406959 y[1] (numeric) = 0.7669097681344282669630974069595 absolute error = 5.0e-31 relative error = 6.5196718150596978922993364540725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = 0.767411375394674005789130156026 y[1] (numeric) = 0.76741137539467400578913015602656 absolute error = 5.6e-31 relative error = 7.2972595657967167034551204340405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 0.767913098542426476551677563333 y[1] (numeric) = 0.76791309854242647655167756333315 absolute error = 1.5e-31 relative error = 1.9533460268448935834824187338977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.332 y[1] (analytic) = 0.768414937558206679965670701018 y[1] (numeric) = 0.76841493755820667996567070101789 absolute error = 1.1e-31 relative error = 1.4315182412974319306016622204164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.333 y[1] (analytic) = 0.7689168924225493897503380705 y[1] (numeric) = 0.76891689242254938975033807049978 absolute error = 2.2e-31 relative error = 2.8611674703473875970345997731690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.334 y[1] (analytic) = 0.769418963116003137660114982373 y[1] (numeric) = 0.7694189631160031376601149823735 absolute error = 5.0e-31 relative error = 6.4984101506296824045453327535464e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=6.47 x[1] = 0.335 y[1] (analytic) = 0.769921149619130198538149948503 y[1] (numeric) = 0.76992114961913019853814994850195 absolute error = 1.05e-30 relative error = 1.3637760185175080609374033101543e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.336 y[1] (analytic) = 0.770423451912506575392364372744 y[1] (numeric) = 0.77042345191250657539236437274409 absolute error = 9e-32 relative error = 1.1681887379801735750821320101173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 0.77092586997672198449402192993 y[1] (numeric) = 0.77092586997672198449402192992997 absolute error = 3e-32 relative error = 3.8914247359354857884629722633739e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.338 y[1] (analytic) = 0.771428403792379840498764125581 y[1] (numeric) = 0.77142840379237984049876412558141 absolute error = 4.1e-31 relative error = 5.3148159697571402094246623976310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 0.771931053340097241590068631476 y[1] (numeric) = 0.77193105334009724159006863147662 absolute error = 6.2e-31 relative error = 8.0318053965739413512581871418811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (analytic) = 0.772433818600504954645087094471 y[1] (numeric) = 0.7724338186005049546450870944713 absolute error = 3.0e-31 relative error = 3.8838278798245756184339128038557e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=6.62 x[1] = 0.341 y[1] (analytic) = 0.772936699554247400422819218018 y[1] (numeric) = 0.77293669955424740042281921801867 absolute error = 6.7e-31 relative error = 8.6682389435821717908567524063775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.342 y[1] (analytic) = 0.773439696181982638774580017576 y[1] (numeric) = 0.77343969618198263877458001757623 absolute error = 2.3e-31 relative error = 2.9737289298102343099193937857620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 0.77394280846438235387671725255 y[1] (numeric) = 0.77394280846438235387671725255048 absolute error = 4.8e-31 relative error = 6.2020086594304221765827390667709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.344 y[1] (analytic) = 0.774446036382131839485536138611 y[1] (numeric) = 0.77444603638213183948553613861144 absolute error = 4.4e-31 relative error = 5.6814804302632203442286588010810e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.345 y[1] (analytic) = 0.774949379915929984214388545109 y[1] (numeric) = 0.77494937991592998421438854510891 absolute error = 9e-32 relative error = 1.1613661786498055821039103332205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=6.78 x[1] = 0.346 y[1] (analytic) = 0.775452839046489256832883982942 y[1] (numeric) = 0.77545283904648925683288398294211 absolute error = 1.1e-31 relative error = 1.4185259819959905792528402016670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.347 y[1] (analytic) = 0.775956413754535691588179788575 y[1] (numeric) = 0.77595641375453569158817978857484 absolute error = 1.6e-31 relative error = 2.0619714865919523218493382910710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 0.77646010402080887354830800995 y[1] (numeric) = 0.77646010402080887354830800995028 absolute error = 2.8e-31 relative error = 3.6061092971815599267848165565785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.349 y[1] (analytic) = 0.776963909826061923967496599845 y[1] (numeric) = 0.77696390982606192396749659984436 absolute error = 6.4e-31 relative error = 8.2371908386745545573559718106418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 0.777467831151061485673442621704 y[1] (numeric) = 0.77746783115106148567344262170445 absolute error = 4.5e-31 relative error = 5.7880208282542470552393614871273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.351 y[1] (analytic) = 0.777971867976587708476495272252 y[1] (numeric) = 0.77797186797658770847649527225259 absolute error = 5.9e-31 relative error = 7.5838217843855950925957407074778e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=6.93 x[1] = 0.352 y[1] (analytic) = 0.778476020283434234600706624089 y[1] (numeric) = 0.77847602028343423460070662408984 absolute error = 8.4e-31 relative error = 1.0790313100385103532528041801277e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.353 y[1] (analytic) = 0.778980288052408184136708090221 y[1] (numeric) = 0.77898028805240818413670809022182 absolute error = 8.2e-31 relative error = 1.0526582155886749401345700818461e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.354 y[1] (analytic) = 0.779484671264330140516370710836 y[1] (numeric) = 0.77948467126433014051637071083609 absolute error = 9e-32 relative error = 1.1546089784423766384584403742401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.355 y[1] (analytic) = 0.779989169900034136009207460799 y[1] (numeric) = 0.77998916990003413600920746080003 absolute error = 1.03e-30 relative error = 1.3205311557492625672113304612213e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 0.780493783940367637240475874215 y[1] (numeric) = 0.78049378394036763724047587421498 absolute error = 2e-32 relative error = 2.5624803696742916775985199211147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.357 y[1] (analytic) = 0.780998513366191530730939379958 y[1] (numeric) = 0.78099851336619153073093937995862 absolute error = 6.2e-31 relative error = 7.9385554439499531162199980155150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=7.09 x[1] = 0.358 y[1] (analytic) = 0.781503358158380108458245839475 y[1] (numeric) = 0.78150335815838010845824583947442 absolute error = 5.8e-31 relative error = 7.4215931888862942874408098320061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.359 y[1] (analytic) = 0.782008318297821053439881875126 y[1] (numeric) = 0.78200831829782105343988187512502 absolute error = 9.8e-31 relative error = 1.2531836005698030694409021589981e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (analytic) = 0.782513393765415425337661674216 y[1] (numeric) = 0.7825133937654154253376616742166 absolute error = 6.0e-31 relative error = 7.6676003858902647424905917555907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 0.783018584542077646083709050324 y[1] (numeric) = 0.78301858454207764608370905032417 absolute error = 1.7e-31 relative error = 2.1710851230870700343806927434299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.362 y[1] (analytic) = 0.783523890608735485527891639805 y[1] (numeric) = 0.78352389060873548552789163980481 absolute error = 1.9e-31 relative error = 2.4249420123282415125190187989796e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.363 y[1] (analytic) = 0.784029311946330047106666207377 y[1] (numeric) = 0.78402931194633004710666620737731 absolute error = 3.1e-31 relative error = 3.9539338042149723109020414312100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.4MB, time=7.24 x[1] = 0.364 y[1] (analytic) = 0.784534848535815753533294130374 y[1] (numeric) = 0.78453484853581575353329413037364 absolute error = 3.6e-31 relative error = 4.5887062973922847051400588644285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 0.785040500358160332509386226731 y[1] (numeric) = 0.78504050035816033250938622673112 absolute error = 1.2e-31 relative error = 1.5285835564566694395398697517563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.366 y[1] (analytic) = 0.785546267394344802457736186995 y[1] (numeric) = 0.78554626739434480245773618699457 absolute error = 4.3e-31 relative error = 5.4738978192374209905054342429082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 0.786052149625363458276401965536 y[1] (numeric) = 0.78605214962536345827640196553633 absolute error = 3.3e-31 relative error = 4.1981947400980929304913789732754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.368 y[1] (analytic) = 0.786558147032223857113994580879 y[1] (numeric) = 0.78655814703222385711399458087931 absolute error = 3.1e-31 relative error = 3.9412216524571814480444739147455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=7.40 x[1] = 0.369 y[1] (analytic) = 0.787064259595946804166133869425 y[1] (numeric) = 0.78706425959594680416613386942527 absolute error = 2.7e-31 relative error = 3.4304695799375926394938128702144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = 0.787570487297566338493030831048 y[1] (numeric) = 0.78757048729756633849303083104803 absolute error = 3e-32 relative error = 3.8091828584055555197230768435928e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 0.78807683011812971885815629891 y[1] (numeric) = 0.78807683011812971885815629891011 absolute error = 1.1e-31 relative error = 1.3958029952931292049084226816291e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.372 y[1] (analytic) = 0.788583288038697409587955759502 y[1] (numeric) = 0.78858328803869740958795575950223 absolute error = 2.3e-31 relative error = 2.9166228030527756413431565355110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 0.789089861040343066452570242289 y[1] (numeric) = 0.78908986104034306645257024228895 absolute error = 5e-32 relative error = 6.3364139458184847100865893049645e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.374 y[1] (analytic) = 0.789596549104153522567523291472 y[1] (numeric) = 0.78959654910415352256752329147141 absolute error = 5.9e-31 relative error = 7.4721704479254849512059004474289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=7.55 x[1] = 0.375 y[1] (analytic) = 0.79010335221122877431633412525 y[1] (numeric) = 0.79010335221122877431633412525036 absolute error = 3.6e-31 relative error = 4.5563659360827068203408323763552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.376 y[1] (analytic) = 0.79061027034268196729401718059 y[1] (numeric) = 0.79061027034268196729401718059009 absolute error = 9e-32 relative error = 1.1383611290679340262047971646158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.377 y[1] (analytic) = 0.791117303479639382271428333848 y[1] (numeric) = 0.79111730347963938227142833384789 absolute error = 1.1e-31 relative error = 1.3904385546388319995658759676032e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.378 y[1] (analytic) = 0.791624451603240421180418179744 y[1] (numeric) = 0.79162445160324042118041817974418 absolute error = 1.8e-31 relative error = 2.2738054595895101235003282936808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.379 y[1] (analytic) = 0.792131714694637593119752843007 y[1] (numeric) = 0.7921317146946375931197528430071 absolute error = 1.0e-31 relative error = 1.2624163146724840884994501390377e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 0.792639092734996500381762888633 y[1] (numeric) = 0.79263909273499650038176288863243 absolute error = 5.7e-31 relative error = 7.1911668907625836622606269745042e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.4MB, time=7.71 x[1] = 0.381 y[1] (analytic) = 0.793146585705495824499680988056 y[1] (numeric) = 0.7931465857054958244996809880562 absolute error = 2.0e-31 relative error = 2.5216019788082682508185213759962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 0.793654193587327312315629089644 y[1] (numeric) = 0.79365419358732731231562908964396 absolute error = 4e-32 relative error = 5.0399784091355301726902475054121e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.383 y[1] (analytic) = 0.794161916361695762069215932758 y[1] (numeric) = 0.7941619163616957620692159327583 absolute error = 3.0e-31 relative error = 3.7775671915167359346109546049565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 0.794669754009819009506705835275 y[1] (numeric) = 0.79466975400981900950670583527553 absolute error = 5.3e-31 relative error = 6.6694371759548718560703164683364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.385 y[1] (analytic) = 0.795177706512927914010719774784 y[1] (numeric) = 0.79517770651292791401071977478428 absolute error = 2.8e-31 relative error = 3.5212254783635309320676492925323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.386 y[1] (analytic) = 0.795685773852266344750429873813 y[1] (numeric) = 0.79568577385226634475042987381386 absolute error = 8.6e-31 relative error = 1.0808286741590968430862884532664e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=194.5MB, alloc=4.4MB, time=7.86 TOP MAIN SOLVE Loop x[1] = 0.387 y[1] (analytic) = 0.79619395600909116685220848931 y[1] (numeric) = 0.79619395600909116685220848930956 absolute error = 4.4e-31 relative error = 5.5262916363431419475131512009357e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 0.796702252964672227590693196196 y[1] (numeric) = 0.79670225296467222759069319619598 absolute error = 2e-32 relative error = 2.5103481163228052361508561037176e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.389 y[1] (analytic) = 0.797210664700292342600229044249 y[1] (numeric) = 0.79721066470029234260022904424925 absolute error = 2.5e-31 relative error = 3.1359339641296236574427499269294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = 0.797719191197247282106649556635 y[1] (numeric) = 0.79771919119724728210664955663509 absolute error = 9e-32 relative error = 1.1282165578206107747283277849901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.391 y[1] (analytic) = 0.798227832436845757179358027363 y[1] (numeric) = 0.79822783243684575717935802736269 absolute error = 3.1e-31 relative error = 3.8836029940678196115221668447012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=8.02 x[1] = 0.392 y[1] (analytic) = 0.798736588400409406003670763556 y[1] (numeric) = 0.79873658840040940600367076355584 absolute error = 1.6e-31 relative error = 2.0031635250417681915552944891079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 0.799245459069272780173384006852 y[1] (numeric) = 0.79924545906927278017338400685214 absolute error = 1.4e-31 relative error = 1.7516521165228893568125572022145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.394 y[1] (analytic) = 0.799754444424783331003526356411 y[1] (numeric) = 0.79975444442478333100352635641075 absolute error = 2.5e-31 relative error = 3.1259594959776735078905038236695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 0.800263544448301395863258603938 y[1] (numeric) = 0.80026354444830139586325860393823 absolute error = 2.3e-31 relative error = 2.8740531990440863304942356330662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.396 y[1] (analytic) = 0.800772759121200184528882978833 y[1] (numeric) = 0.80077275912120018452888297883262 absolute error = 3.8e-31 relative error = 4.7454161704629798532813747183891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 0.801282088424865765556923888998 y[1] (numeric) = 0.80128208842486576555692388899778 absolute error = 2.2e-31 relative error = 2.7455998727298252150117325634698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=8.17 x[1] = 0.398 y[1] (analytic) = 0.801791532340697052677242330095 y[1] (numeric) = 0.80179153234069705267724233009459 absolute error = 4.1e-31 relative error = 5.1135486402939823633983205989302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 0.802301090850105791206146222974 y[1] (numeric) = 0.80230109085010579120614622297328 absolute error = 7.2e-31 relative error = 8.9741869755791951880476141971130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = 0.802810763934516544479459025773 y[1] (numeric) = 0.80281076393451654447945902577259 absolute error = 4.1e-31 relative error = 5.1070565869174466037058446996297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.401 y[1] (analytic) = 0.803320551575366680305509053678 y[1] (numeric) = 0.8033205515753666803055090536779 absolute error = 1.0e-31 relative error = 1.2448330844255527090076925631190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.402 y[1] (analytic) = 0.803830453754106357438002025602 y[1] (numeric) = 0.80383045375410635743800202560193 absolute error = 7e-32 relative error = 8.7083040550505400541017509487769e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 0.804340470452198512068739443089 y[1] (numeric) = 0.80434047045219851206873944308946 absolute error = 4.6e-31 relative error = 5.7189712180140453763940314841125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.4MB, time=8.33 x[1] = 0.404 y[1] (analytic) = 0.804850601651118844340145492552 y[1] (numeric) = 0.80485060165111884434014549255206 absolute error = 6e-32 relative error = 7.4547996705118189428413523117902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 0.805360847332355804877565247511 y[1] (numeric) = 0.80536084733235580487756524751115 absolute error = 1.5e-31 relative error = 1.8625191489858718561953170000819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.406 y[1] (analytic) = 0.805871207477410581341297032868 y[1] (numeric) = 0.80587120747741058134129703286805 absolute error = 5e-32 relative error = 6.2044653706531080722487628277254e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 0.80638168206779708499832189833 y[1] (numeric) = 0.80638168206779708499832189832936 absolute error = 6.4e-31 relative error = 7.9366882238551590435087677554677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.408 y[1] (analytic) = 0.806892271085041937313693232995 y[1] (numeric) = 0.80689227108504193731369323299527 absolute error = 2.7e-31 relative error = 3.3461715978135017787744845771436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=8.49 x[1] = 0.409 y[1] (analytic) = 0.807402974510684456561549637768 y[1] (numeric) = 0.80740297451068445656154963776817 absolute error = 1.7e-31 relative error = 2.1055161470395396768349590448256e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 0.807913792326276644455714256659 y[1] (numeric) = 0.80791379232627664445571425665996 absolute error = 9.6e-31 relative error = 1.1882455889703430343734651876198e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.411 y[1] (analytic) = 0.808424724513383172799843852269 y[1] (numeric) = 0.80842472451338317279984385226924 absolute error = 2.4e-31 relative error = 2.9687365158761530260580533025545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 0.808935771053581370157090994665 y[1] (numeric) = 0.80893577105358137015709099466509 absolute error = 9e-32 relative error = 1.1125728793372728979313353245354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.413 y[1] (analytic) = 0.809446931928461208539242816653 y[1] (numeric) = 0.80944693192846120853924281665305 absolute error = 5e-32 relative error = 6.1770572013754932694838724807306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.414 y[1] (analytic) = 0.809958207119625290115299871912 y[1] (numeric) = 0.80995820711962529011529987191155 absolute error = 4.5e-31 relative error = 5.5558422156161703823837977278426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.4MB, time=8.64 x[1] = 0.415 y[1] (analytic) = 0.810469596608688833939458715775 y[1] (numeric) = 0.81046959660868883393945871577483 absolute error = 1.7e-31 relative error = 2.0975493801537314098872017656372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 0.810981100377279662698461911501 y[1] (numeric) = 0.81098110037727966269846191150116 absolute error = 1.6e-31 relative error = 1.9729189733961220491892046852588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.417 y[1] (analytic) = 0.811492718407038189478279247704 y[1] (numeric) = 0.81149271840703818947827924770453 absolute error = 5.3e-31 relative error = 6.5311738229813207417170584170095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 0.812004450679617404550084035244 y[1] (numeric) = 0.81200445067961740455008403524374 absolute error = 2.6e-31 relative error = 3.2019528930215802208387414210369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.419 y[1] (analytic) = 0.812516297176682862175488434256 y[1] (numeric) = 0.81251629717668286217548843425637 absolute error = 3.7e-31 relative error = 4.5537548143424248950868371556630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 0.813028257879912667431001844197 y[1] (numeric) = 0.81302825787991266743100184419679 absolute error = 2.1e-31 relative error = 2.5829360537554377364480054141071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.4MB, time=8.80 x[1] = 0.421 y[1] (analytic) = 0.813540332770997463051676471689 y[1] (numeric) = 0.81354033277099746305167647168791 absolute error = 1.09e-30 relative error = 1.3398229394323377107740340556787e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 0.814052521831640416293904272727 y[1] (numeric) = 0.81405252183164041629390427272661 absolute error = 3.9e-31 relative error = 4.7908456707742805601574056918052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.423 y[1] (analytic) = 0.814564825043557205817329547293 y[1] (numeric) = 0.81456482504355720581732954729303 absolute error = 3e-32 relative error = 3.6829481310337468478853280928097e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 0.815077242388476008585841545705 y[1] (numeric) = 0.81507724238847600858584154570545 absolute error = 4.5e-31 relative error = 5.5209491395114227893964018035054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 0.815589773848137486787611527135 y[1] (numeric) = 0.81558977384813748678761152713546 absolute error = 4.6e-31 relative error = 5.6400903340121063029267186575185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.426 y[1] (analytic) = 0.816102419404294774774138791553 y[1] (numeric) = 0.81610241940429477477413879155324 absolute error = 2.4e-31 relative error = 2.9408073581644988990980478987237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.4MB, time=8.96 x[1] = 0.427 y[1] (analytic) = 0.816615179038713466018270287011 y[1] (numeric) = 0.81661517903871346601827028701131 absolute error = 3.1e-31 relative error = 3.7961577001901866164964980722788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.428 y[1] (analytic) = 0.817128052733171600091158474597 y[1] (numeric) = 0.81712805273317160009115847459678 absolute error = 2.2e-31 relative error = 2.6923564704960596537084986051529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 0.817641040469459649658122213588 y[1] (numeric) = 0.81764104046945964965812221358855 absolute error = 5.5e-31 relative error = 6.7266682171947982153504727307028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = 0.818154142229380507493375509347 y[1] (numeric) = 0.81815414222938050749337550934699 absolute error = 1e-32 relative error = 1.2222635667101915897620096889900e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 0.81866735799474947351358904624 y[1] (numeric) = 0.81866735799474947351358904624059 absolute error = 5.9e-31 relative error = 7.2068343050240921837287960790225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.4MB, time=9.11 x[1] = 0.432 y[1] (analytic) = 0.819180687747394241830249507477 y[1] (numeric) = 0.8191806877473942418302495074772 absolute error = 2.0e-31 relative error = 2.4414638063546827850124190737311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 0.819694131469154887820781763058 y[1] (numeric) = 0.81969413146915488782078176305765 absolute error = 3.5e-31 relative error = 4.2698853946006384138531095723863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.434 y[1] (analytic) = 0.820207689141883855218399086207 y[1] (numeric) = 0.82020768914188385521839908620727 absolute error = 2.7e-31 relative error = 3.2918491691108003610644960342132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 0.820721360747445943220646637566 y[1] (numeric) = 0.82072136074744594322064663756698 absolute error = 9.8e-31 relative error = 1.1940715166807600681206118429255e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.436 y[1] (analytic) = 0.82123514626771829361660353514 y[1] (numeric) = 0.82123514626771829361660353514045 absolute error = 4.5e-31 relative error = 5.4795511619920659278829829973922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 0.821749045684590377932708906499 y[1] (numeric) = 0.82174904568459037793270890649863 absolute error = 3.7e-31 relative error = 4.5025911735833771571953290205496e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.4MB, time=9.27 x[1] = 0.438 y[1] (analytic) = 0.822263058979963984597177398037 y[1] (numeric) = 0.82226305897996398459717739803751 absolute error = 5.1e-31 relative error = 6.2023946525418105579673283812266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 0.82277718613575320612296969417 y[1] (numeric) = 0.82277718613575320612296969417093 absolute error = 9.3e-31 relative error = 1.1303181659275560966226151741642e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (analytic) = 0.823291427133884426309283677217 y[1] (numeric) = 0.82329142713388442630928367721722 absolute error = 2.2e-31 relative error = 2.6722007875860389963356525483597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.441 y[1] (analytic) = 0.823805781956296307461531936408 y[1] (numeric) = 0.82380578195629630746153193640806 absolute error = 6e-32 relative error = 7.2832700758081178362835804511926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 0.82432025058493977762977141191 y[1] (numeric) = 0.82432025058493977762977141190998 absolute error = 2e-32 relative error = 2.4262414984719771683489254331306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.443 y[1] (analytic) = 0.824834833001778017865551037004 y[1] (numeric) = 0.82483483300177801786555103700468 absolute error = 6.8e-31 relative error = 8.2440747261522864030791525287425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=232.7MB, alloc=4.4MB, time=9.42 x[1] = 0.444 y[1] (analytic) = 0.825349529188786449497143318624 y[1] (numeric) = 0.82534952918878644949714331862393 absolute error = 7e-32 relative error = 8.4812552166596728503951146697327e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.445 y[1] (analytic) = 0.825864339127952721423125873279 y[1] (numeric) = 0.82586433912795272142312587327937 absolute error = 3.7e-31 relative error = 4.4801546993867136982855771200134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 0.826379262801276697424279012068 y[1] (numeric) = 0.82637926280127669742427901206721 absolute error = 7.9e-31 relative error = 9.5597752213922024612524706407358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.447 y[1] (analytic) = 0.826894300190770443493765544864 y[1] (numeric) = 0.82689430019077044349376554486362 absolute error = 3.8e-31 relative error = 4.5955087598539653203597781890524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.448 y[1] (analytic) = 0.827409451278458215185559050059 y[1] (numeric) = 0.82740945127845821518555905005886 absolute error = 1.4e-31 relative error = 1.6920280495186667734680363513740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.449 y[1] (analytic) = 0.827924716046376444981086932208 y[1] (numeric) = 0.82792471604637644498108693220785 absolute error = 1.5e-31 relative error = 1.8117589328206226199110736775264e-29 % Correct digits = 30 h = 0.001 memory used=236.5MB, alloc=4.4MB, time=9.58 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = 0.828440094476573729674054665802 y[1] (numeric) = 0.82844009447657372967405466580219 absolute error = 1.9e-31 relative error = 2.2934669780806068620477002260261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.451 y[1] (analytic) = 0.828955586551110817773417698994 y[1] (numeric) = 0.82895558655111081777341769899455 absolute error = 5.5e-31 relative error = 6.6348548574030113523219490536008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 0.829471192252060596924467566531 y[1] (numeric) = 0.82947119225206059692446756653127 absolute error = 2.7e-31 relative error = 3.2550859212715383847156750881162e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.453 y[1] (analytic) = 0.829986911561508081347998836373 y[1] (numeric) = 0.82998691156150808134799883637364 absolute error = 6.4e-31 relative error = 7.7109649692659199715570724963564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 0.830502744461550399297523589514 y[1] (numeric) = 0.83050274446155039929752358951327 absolute error = 7.3e-31 relative error = 8.7898565642102661048170996568417e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.4MB, time=9.73 x[1] = 0.455 y[1] (analytic) = 0.831018690934296780534500207312 y[1] (numeric) = 0.83101869093429678053450020731281 absolute error = 8.1e-31 relative error = 9.7470731866371632412873249774780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.456 y[1] (analytic) = 0.831534750961868543821543315331 y[1] (numeric) = 0.83153475096186854382154331533068 absolute error = 3.2e-31 relative error = 3.8483057939532120693575533629896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 0.832050924526399084433581807018 y[1] (numeric) = 0.83205092452639908443358180701801 absolute error = 1e-32 relative error = 1.2018495148829947285037173077067e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.458 y[1] (analytic) = 0.832567211610033861686931944909 y[1] (numeric) = 0.8325672116100338616869319449082 absolute error = 8.0e-31 relative error = 9.6088338436117993890987005408396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 0.833083612194930386486252610955 y[1] (numeric) = 0.83308361219493038648625261095514 absolute error = 1.4e-31 relative error = 1.6805035887231194099622593807020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = 0.833600126263258208889349851516 y[1] (numeric) = 0.83360012626325820888934985151569 absolute error = 3.1e-31 relative error = 3.7188094175275987104887241459452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.4MB, time=9.89 x[1] = 0.461 y[1] (analytic) = 0.834116753797198905689797936116 y[1] (numeric) = 0.83411675379719890568979793611614 absolute error = 1.4e-31 relative error = 1.6784221077285612706465168095869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.462 y[1] (analytic) = 0.834633494778946068017344222592 y[1] (numeric) = 0.83463349477894606801734422259145 absolute error = 5.5e-31 relative error = 6.5897187620737450071019259282868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.463 y[1] (analytic) = 0.835150349190705288956065194441 y[1] (numeric) = 0.83515034919070528895606519444127 absolute error = 2.7e-31 relative error = 3.2329508125290374285838970075320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.464 y[1] (analytic) = 0.835667317014694151180241109308 y[1] (numeric) = 0.83566731701469415118024110930775 absolute error = 2.5e-31 relative error = 2.9916211261329497069449220550614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 0.836184398233142214607916770349 y[1] (numeric) = 0.83618439823314221460791677034863 absolute error = 3.7e-31 relative error = 4.4248613198453602725057579532090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.466 y[1] (analytic) = 0.836701592828291004072116004954 y[1] (numeric) = 0.83670159282829100407211600495452 absolute error = 5.2e-31 relative error = 6.2148800056929625154781085262250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.4MB, time=10.05 x[1] = 0.467 y[1] (analytic) = 0.837218900782393997009677507743 y[1] (numeric) = 0.83721890078239399700967750774335 absolute error = 3.5e-31 relative error = 4.1805076267738293155577144422770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.468 y[1] (analytic) = 0.837736322077716611167679777057 y[1] (numeric) = 0.8377363220777166111676797770572 absolute error = 2.0e-31 relative error = 2.3873860393681968674043893246093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 0.838253856696536192327422946289 y[1] (numeric) = 0.83825385669653619232742294628859 absolute error = 4.1e-31 relative error = 4.8911197571552334954408656685913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = 0.838771504621142002045935383275 y[1] (numeric) = 0.83877150462114200204593538327485 absolute error = 1.5e-31 relative error = 1.7883297080740994090908347288439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.471 y[1] (analytic) = 0.839289265833835205414973002721 y[1] (numeric) = 0.83928926583383520541497300272109 absolute error = 9e-32 relative error = 1.0723358878012678795806858736404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.4MB, time=10.20 x[1] = 0.472 y[1] (analytic) = 0.839807140316928858837479308146 y[1] (numeric) = 0.83980714031692885883747930814534 absolute error = 6.6e-31 relative error = 7.8589472310383939131584829978256e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.473 y[1] (analytic) = 0.840325128052747897821474251184 y[1] (numeric) = 0.8403251280527478978214742511839 absolute error = 1.0e-31 relative error = 1.1900155863686479924521128790467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.474 y[1] (analytic) = 0.840843229023629124791340067251 y[1] (numeric) = 0.84084322902362912479134006725167 absolute error = 6.7e-31 relative error = 7.9681916542039712435402151792642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.475 y[1] (analytic) = 0.841361443211921196916472317521 y[1] (numeric) = 0.84136144321192119691647231752155 absolute error = 5.5e-31 relative error = 6.5370240630514203825790980420169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 0.84187977059998461395726443797 y[1] (numeric) = 0.84187977059998461395726443796965 absolute error = 3.5e-31 relative error = 4.1573632271810570160863307740105e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.477 y[1] (analytic) = 0.842398211170191706128394166829 y[1] (numeric) = 0.84239821117019170612839416682962 absolute error = 6.2e-31 relative error = 7.3599396553649605424570541884665e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.4MB, time=10.36 x[1] = 0.478 y[1] (analytic) = 0.842916764904926621979380292211 y[1] (numeric) = 0.84291676490492662197938029221019 absolute error = 8.1e-31 relative error = 9.6094897352214920653310029955246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.479 y[1] (analytic) = 0.843435431786585316292378231856 y[1] (numeric) = 0.843435431786585316292378231856 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 0.843954211797575537997183027074 y[1] (numeric) = 0.8439542117975755379971830270731 absolute error = 9.0e-31 relative error = 1.0664085650844138213299283781807e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.481 y[1] (analytic) = 0.844473104920316818103408402699 y[1] (numeric) = 0.84447310492031681810340840269809 absolute error = 9.1e-31 relative error = 1.0775950053327822664296581495563e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 0.844992111137240457649810614664 y[1] (numeric) = 0.84499211113724045764981061466386 absolute error = 1.4e-31 relative error = 1.6568202016889803096359947161617e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.483 y[1] (analytic) = 0.845511230430789515670725876206 y[1] (numeric) = 0.8455112304307895156707258762064 absolute error = 4.0e-31 relative error = 4.7308656065537919545425755768177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.4MB, time=10.51 x[1] = 0.484 y[1] (analytic) = 0.846030462783418797179590223066 y[1] (numeric) = 0.8460304627834187971795902230661 absolute error = 1.0e-31 relative error = 1.1819905357899588208607210550976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.485 y[1] (analytic) = 0.846549808177594841169510747165 y[1] (numeric) = 0.8465498081775948411695107471644 absolute error = 6.0e-31 relative error = 7.0875924157569239572131827938158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.486 y[1] (analytic) = 0.847069266595795908630857197182 y[1] (numeric) = 0.84706926659579590863085719718284 absolute error = 8.4e-31 relative error = 9.9165444093585652689091502184359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.487 y[1] (analytic) = 0.847588838020511970585843013238 y[1] (numeric) = 0.84758883802051197058584301323739 absolute error = 6.1e-31 relative error = 7.1968857143590388951268770862751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.488 y[1] (analytic) = 0.848108522434244696140064931427 y[1] (numeric) = 0.84810852243424469614006493142622 absolute error = 7.8e-31 relative error = 9.1969362335994534669008456215016e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 0.848628319819507440550970362435 y[1] (numeric) = 0.84862831981950744055097036243544 absolute error = 4.4e-31 relative error = 5.1848375752247162860176641049981e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.4MB, time=10.66 x[1] = 0.49 y[1] (analytic) = 0.849148230158825233313221816615 y[1] (numeric) = 0.84914823015882523331322181661428 absolute error = 7.2e-31 relative error = 8.4790849751324422480889540980899e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 0.849668253434734766260927715979 y[1] (numeric) = 0.8496682534347347662609277159799 absolute error = 9.0e-31 relative error = 1.0592369390780484732021217062839e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.492 y[1] (analytic) = 0.850188389629784381686709001483 y[1] (numeric) = 0.85018838962978438168670900148285 absolute error = 1.5e-31 relative error = 1.7643148486809810618605952138498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.493 y[1] (analytic) = 0.850708638726534060477571011558 y[1] (numeric) = 0.85070863872653406047757101155754 absolute error = 4.6e-31 relative error = 5.4072567158668533728661158134809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.494 y[1] (analytic) = 0.851229000707555410267550175498 y[1] (numeric) = 0.85122900070755541026755017549886 absolute error = 8.6e-31 relative error = 1.0103039244259229799007083394027e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.4MB, time=10.82 x[1] = 0.495 y[1] (analytic) = 0.851749475555431653607105132547 y[1] (numeric) = 0.85174947555543165360710513254614 absolute error = 8.6e-31 relative error = 1.0096865624005088151313645910653e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.496 y[1] (analytic) = 0.852270063252757616149221954721 y[1] (numeric) = 0.85227006325275761614922195472052 absolute error = 4.8e-31 relative error = 5.6320176044673115030961620419915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 0.85279076378213971485220321845 y[1] (numeric) = 0.85279076378213971485220321845093 absolute error = 9.3e-31 relative error = 1.0905371393510832302392167874786e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.498 y[1] (analytic) = 0.853311577126195946199110736838 y[1] (numeric) = 0.85331157712619594619911073683853 absolute error = 5.3e-31 relative error = 6.2110958553374752603436344658214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 0.853832503267555874433831831051 y[1] (numeric) = 0.85383250326755587443383183105001 absolute error = 9.9e-31 relative error = 1.1594779962244829778205003452600e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 0.854353542188860619813739085797 y[1] (numeric) = 0.85435354218886061981373908579691 absolute error = 9e-32 relative error = 1.0534280664351116161743215493117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=10.97 x[1] = 0.501 y[1] (analytic) = 0.854874693872762846878913600151 y[1] (numeric) = 0.85487469387276284687891360015172 absolute error = 7.2e-31 relative error = 8.4222869756297030094891640359365e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.502 y[1] (analytic) = 0.855395958301926752737901811073 y[1] (numeric) = 0.85539595830192675273790181107272 absolute error = 2.8e-31 relative error = 3.2733378885240088084493917964594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.503 y[1] (analytic) = 0.855917335459028055369976032959 y[1] (numeric) = 0.8559173354590280553699760329584 absolute error = 6.0e-31 relative error = 7.0100227573755155754412191804211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 0.856438825326753981943868922329 y[1] (numeric) = 0.85643882532675398194386892232963 absolute error = 6.3e-31 relative error = 7.3560420355725745776765528741671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.505 y[1] (analytic) = 0.856960427887803257152952142345 y[1] (numeric) = 0.85696042788780325715295214234428 absolute error = 7.2e-31 relative error = 8.4017881872868151488371679675367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 0.857482143124886091566829567285 y[1] (numeric) = 0.85748214312488609156682956728453 absolute error = 4.7e-31 relative error = 5.4811637043215707965236467501616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.4MB, time=11.13 x[1] = 0.507 y[1] (analytic) = 0.858003971020724169999315432423 y[1] (numeric) = 0.85800397102072416999931543242301 absolute error = 1e-32 relative error = 1.1654957713195083423473936875438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 0.85852591155805063989276789977 y[1] (numeric) = 0.85852591155805063989276789977008 absolute error = 8e-32 relative error = 9.3182976684787770178250697996053e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.509 y[1] (analytic) = 0.859047964719610099718748575133 y[1] (numeric) = 0.85904796471961009971874857513171 absolute error = 1.29e-30 relative error = 1.5016623669215617795186147674174e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (analytic) = 0.859570130488158587394978576667 y[1] (numeric) = 0.85957013048815858739497857666615 absolute error = 8.5e-31 relative error = 9.8886637617023335453309362950674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.511 y[1] (analytic) = 0.860092408846463568718561819717 y[1] (numeric) = 0.8600924088464635687185618197182 absolute error = 1.20e-30 relative error = 1.3951989200897759151346034479446e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.512 y[1] (analytic) = 0.860614799777303925815446247133 y[1] (numeric) = 0.86061479977730392581544624713306 absolute error = 6e-32 relative error = 6.9717601899857911163809805554735e-30 % Correct digits = 31 h = 0.001 memory used=278.4MB, alloc=4.4MB, time=11.29 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.513 y[1] (analytic) = 0.861137303263469945606093798507 y[1] (numeric) = 0.86113730326346994560609379850789 absolute error = 8.9e-31 relative error = 1.0335169509289035469362147338873e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 0.861659919287763308287329975929 y[1] (numeric) = 0.86165991928776330828732997592882 absolute error = 1.8e-31 relative error = 2.0889912130157524218779690413100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.515 y[1] (analytic) = 0.862182647832997075830343927664 y[1] (numeric) = 0.86218264783299707583034392766485 absolute error = 8.5e-31 relative error = 9.8586999185889805972011513045887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 0.862705488881995680494810035047 y[1] (numeric) = 0.86270548888199568049481003504805 absolute error = 1.05e-30 relative error = 1.2171013324149873520747827157295e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.517 y[1] (analytic) = 0.863228442417594913359102051364 y[1] (numeric) = 0.86322844241759491335910205136272 absolute error = 1.28e-30 relative error = 1.4828056364954526239987969380948e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.4MB, time=11.45 x[1] = 0.518 y[1] (analytic) = 0.863751508422641912866570904994 y[1] (numeric) = 0.86375150842264191286657090499461 absolute error = 6.1e-31 relative error = 7.0622163209180890773618910410933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 0.864274686879995153387857342356 y[1] (numeric) = 0.86427468687999515338785734235585 absolute error = 1.5e-31 relative error = 1.7355593340526419139118669479417e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = 0.864797977772524433799210649202 y[1] (numeric) = 0.86479797777252443379921064920226 absolute error = 2.6e-31 relative error = 3.0064825159476740966523985837560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 0.865321381083110866076784751897 y[1] (numeric) = 0.86532138108311086607678475189752 absolute error = 5.2e-31 relative error = 6.0093279949828947376922646546753e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.522 y[1] (analytic) = 0.865844896794646863906883062955 y[1] (numeric) = 0.86584489679464686390688306295416 absolute error = 8.4e-31 relative error = 9.7015066221407028858249827534919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.523 y[1] (analytic) = 0.866368524890036131312123497794 y[1] (numeric) = 0.86636852489003613131212349779436 absolute error = 3.6e-31 relative error = 4.1552756091374974424943840317054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.4MB, time=11.60 x[1] = 0.524 y[1] (analytic) = 0.866892265352193651293495152125 y[1] (numeric) = 0.86689226535219365129349515212541 absolute error = 4.1e-31 relative error = 4.7295381027933000493960086866209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.525 y[1] (analytic) = 0.867416118164045674488278191615 y[1] (numeric) = 0.86741611816404567448827819161502 absolute error = 2e-32 relative error = 2.3056984509731696528649565148255e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.526 y[1] (analytic) = 0.867940083308529707843798567682 y[1] (numeric) = 0.86794008330852970784379856768157 absolute error = 4.3e-31 relative error = 4.9542590354954996440648014373607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 0.868464160768594503306989235183 y[1] (numeric) = 0.86846416076859450330698923518411 absolute error = 1.11e-30 relative error = 1.2781183728038302053677181394205e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.528 y[1] (analytic) = 0.868988350527200046529729609607 y[1] (numeric) = 0.86898835052720004652972960960683 absolute error = 1.7e-31 relative error = 1.9562978018849616428347289860926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 0.869512652567317545589935062984 y[1] (numeric) = 0.86951265256731754558993506298355 absolute error = 4.5e-31 relative error = 5.1753128453201095214574660585730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.4MB, time=11.75 x[1] = 0.53 y[1] (analytic) = 0.870037066871929419728368319301 y[1] (numeric) = 0.87003706687192941972836831929979 absolute error = 1.21e-30 relative error = 1.3907453441614270478395882768790e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 0.870561593424029288101144671444 y[1] (numeric) = 0.87056159342402928810114467144364 absolute error = 3.6e-31 relative error = 4.1352616830254857480655730100984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.532 y[1] (analytic) = 0.871086232206621958547903002953 y[1] (numeric) = 0.8710862322066219585479030029527 absolute error = 3.0e-31 relative error = 3.4439759108583855474214890057128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.533 y[1] (analytic) = 0.871610983202723416375614658824 y[1] (numeric) = 0.87161098320272341637561465882283 absolute error = 1.17e-30 relative error = 1.3423419651056368697564119309166e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.534 y[1] (analytic) = 0.872135846395360813158002270506 y[1] (numeric) = 0.8721358463953608131580022705063 absolute error = 3.0e-31 relative error = 3.4398310909927048024797574134897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=11.91 x[1] = 0.535 y[1] (analytic) = 0.872660821767572455550540700932 y[1] (numeric) = 0.87266082176757245555054070093209 absolute error = 9e-32 relative error = 1.0313285271327433983075512778833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 0.87318590930240779412101233593 y[1] (numeric) = 0.87318590930240779412101233593062 absolute error = 6.2e-31 relative error = 7.1004352383024690361624305365584e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.537 y[1] (analytic) = 0.873711108982927412195589008839 y[1] (numeric) = 0.87371110898292741219558900883889 absolute error = 1.1e-31 relative error = 1.2589973833347406177623707452672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 0.874236420792203014720412905301 y[1] (numeric) = 0.87423642079220301472041290530108 absolute error = 8e-32 relative error = 9.1508427351387108741028248819551e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.539 y[1] (analytic) = 0.874761844713317417138648855364 y[1] (numeric) = 0.87476184471331741713864885536371 absolute error = 2.9e-31 relative error = 3.3151880337789614820189109900224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 0.875287380729364534282980479894 y[1] (numeric) = 0.87528738072936453428298047989494 absolute error = 9.4e-31 relative error = 1.0739329969737611889378631111366e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.4MB, time=12.07 x[1] = 0.541 y[1] (analytic) = 0.875813028823449369283522718134 y[1] (numeric) = 0.87581302882344936928352271813383 absolute error = 1.7e-31 relative error = 1.9410535628634661825498034914363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 0.876338788978688002491123322799 y[1] (numeric) = 0.876338788978688002491123322799 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.543 y[1] (analytic) = 0.876864661178207580416025968656 y[1] (numeric) = 0.87686466117820758041602596865646 absolute error = 4.6e-31 relative error = 5.2459634920389721796907133641009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 0.877390645405146304681867679765 y[1] (numeric) = 0.87739064540514630468186767976497 absolute error = 3e-32 relative error = 3.4192295253099168762638797226148e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.545 y[1] (analytic) = 0.877916741642653420994983339784 y[1] (numeric) = 0.87791674164265342099498333978347 absolute error = 5.3e-31 relative error = 6.0370189433718625527731597592066e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.546 y[1] (analytic) = 0.87844294987388920812899010874 y[1] (numeric) = 0.87844294987388920812899010874041 absolute error = 4.1e-31 relative error = 4.6673492007518565703616173897533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.4MB, time=12.22 x[1] = 0.547 y[1] (analytic) = 0.878969270082024966924624628528 y[1] (numeric) = 0.87896927008202496692462462852883 absolute error = 8.3e-31 relative error = 9.4428784742673065299256415477037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.548 y[1] (analytic) = 0.879495702250243009304805958105 y[1] (numeric) = 0.87949570225024300930480595810466 absolute error = 3.4e-31 relative error = 3.8658517503847876955940589378349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 0.880022246361736647304897237929 y[1] (numeric) = 0.88002224636173664730489723792921 absolute error = 2.1e-31 relative error = 2.3863033107197004209910383612813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = 0.880548902399710182118139141612 y[1] (numeric) = 0.88054890239971018211813914161098 absolute error = 1.02e-30 relative error = 1.1583683736590342899602579399743e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 0.881075670347378893156228230966 y[1] (numeric) = 0.88107567034737889315622823096631 absolute error = 3.1e-31 relative error = 3.5184265146917209638473664641536e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.552 y[1] (analytic) = 0.881602550187969027125013388835 y[1] (numeric) = 0.88160255018796902712501338883484 absolute error = 1.6e-31 relative error = 1.8148767828074673522483642277655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.4MB, time=12.38 x[1] = 0.553 y[1] (analytic) = 0.882129541904717787115283561953 y[1] (numeric) = 0.88212954190471778711528356195306 absolute error = 6e-32 relative error = 6.8017220997322444656199579007747e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.554 y[1] (analytic) = 0.88265664548087332170862010401 y[1] (numeric) = 0.88265664548087332170862010400947 absolute error = 5.3e-31 relative error = 6.0045998941213976850337029032681e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 0.883183860899694714098287066677 y[1] (numeric) = 0.88318386089969471409828706667695 absolute error = 5e-32 relative error = 5.6613353361173589872411875731933e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.556 y[1] (analytic) = 0.883711188144451971225132843944 y[1] (numeric) = 0.88371118814445197122513284394365 absolute error = 3.5e-31 relative error = 3.9605699768824108852000376958747e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.557 y[1] (analytic) = 0.884238627198426012928476632443 y[1] (numeric) = 0.88423862719842601292847663244243 absolute error = 5.7e-31 relative error = 6.4462237055392758041826769401181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=309.0MB, alloc=4.4MB, time=12.54 x[1] = 0.558 y[1] (analytic) = 0.884766178044908661111953227712 y[1] (numeric) = 0.88476617804490866111195322771165 absolute error = 3.5e-31 relative error = 3.9558474169232406948345155141696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 0.885293840667202628924289733407 y[1] (numeric) = 0.8852938406672026289242897334072 absolute error = 2.0e-31 relative error = 2.2591369194353570880520397766898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = 0.885821615048621509954987817427 y[1] (numeric) = 0.88582161504862150995498781742726 absolute error = 2.6e-31 relative error = 2.9351281971791686694636454598509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 0.886349501172489767444885205708 y[1] (numeric) = 0.88634950117248976744488520570844 absolute error = 4.4e-31 relative error = 4.9641817298701558673981234227757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.562 y[1] (analytic) = 0.886877499022142723511570161105 y[1] (numeric) = 0.88687749902214272351157016110412 absolute error = 8.8e-31 relative error = 9.9224526608271633173711406399449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 0.887405608580926548389622751265 y[1] (numeric) = 0.88740560858092654838962275126462 absolute error = 3.8e-31 relative error = 4.2821455749831005704250303622647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.4MB, time=12.70 x[1] = 0.564 y[1] (analytic) = 0.887933829832198249685656765804 y[1] (numeric) = 0.88793382983219824968565676580339 absolute error = 6.1e-31 relative error = 6.8698812851322244407524566827937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.565 y[1] (analytic) = 0.888462162759325661648136199255 y[1] (numeric) = 0.88846216275932566164813619925548 absolute error = 4.8e-31 relative error = 5.4025936063416418573925070752496e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 0.888990607345687434451940272414 y[1] (numeric) = 0.88899060734568743445194027241323 absolute error = 7.7e-31 relative error = 8.6615088352736951159388605161527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.567 y[1] (analytic) = 0.889519163574673023497651020561 y[1] (numeric) = 0.8895191635746730234976510205611 absolute error = 1.0e-31 relative error = 1.1242028738103205264872690179192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.568 y[1] (analytic) = 0.890047831429682678725537532926 y[1] (numeric) = 0.89004783142968267872553753292606 absolute error = 6e-32 relative error = 6.7412107396095867925902407637414e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.569 y[1] (analytic) = 0.890576610894127433944210983313 y[1] (numeric) = 0.89057661089412743394421098331343 absolute error = 4.3e-31 relative error = 4.8283325066024981788395365202167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.4MB, time=12.85 x[1] = 0.57 y[1] (analytic) = 0.89110550195142909617392464741 y[1] (numeric) = 0.89110550195142909617392464741015 absolute error = 1.5e-31 relative error = 1.6833023662351481220465098759202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.571 y[1] (analytic) = 0.891634504585020235004493157609 y[1] (numeric) = 0.89163450458502023500449315760907 absolute error = 7e-32 relative error = 7.8507504633391263635707291458838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 0.892163618778344171967805301439 y[1] (numeric) = 0.89216361877834417196780530143908 absolute error = 8e-32 relative error = 8.9669650629270728713259279160520e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.573 y[1] (analytic) = 0.892692844514854969924904724777 y[1] (numeric) = 0.89269284451485496992490472477733 absolute error = 3.3e-31 relative error = 3.6966802414479148725732859709825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 0.893222181778017422467612955972 y[1] (numeric) = 0.89322218177801742246761295597185 absolute error = 1.5e-31 relative error = 1.6793134234688971508618029130107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.575 y[1] (analytic) = 0.893751630551307043334669221816 y[1] (numeric) = 0.89375163055130704333466922181577 absolute error = 2.3e-31 relative error = 2.5734218784935300122641248518083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=320.4MB, alloc=4.4MB, time=13.01 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 0.894281190818210055842361580988 y[1] (numeric) = 0.89428119081821005584236158098877 absolute error = 7.7e-31 relative error = 8.6102671945442493293796057250731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.577 y[1] (analytic) = 0.894810862562223382329623955118 y[1] (numeric) = 0.89481086256222338232962395511747 absolute error = 5.3e-31 relative error = 5.9230394061420420614062392377146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 0.895340645766854633617573692004 y[1] (numeric) = 0.89534064576685463361757369200471 absolute error = 7.1e-31 relative error = 7.9299426799940336803595182273829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.579 y[1] (analytic) = 0.89587054041562209848346434984 y[1] (numeric) = 0.89587054041562209848346434983875 absolute error = 1.25e-30 relative error = 1.3952908859131435151354873723927e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 0.896400546492054733149028445317 y[1] (numeric) = 0.89640054649205473314902844531709 absolute error = 9e-32 relative error = 1.0040154521569975088027082201434e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.4MB, time=13.17 x[1] = 0.581 y[1] (analytic) = 0.896930663979692150783184962607 y[1] (numeric) = 0.89693066397969215078318496260702 absolute error = 2e-32 relative error = 2.2298267640064572323542076399760e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.582 y[1] (analytic) = 0.897460892862084611019086473916 y[1] (numeric) = 0.89746089286208461101908647391593 absolute error = 7e-32 relative error = 7.7997827600892578093921840840620e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 0.897991233122793009485480776159 y[1] (numeric) = 0.89799123312279300948548077615978 absolute error = 7.8e-31 relative error = 8.6860536186698087013632164931779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.584 y[1] (analytic) = 0.898521684745388867352362001798 y[1] (numeric) = 0.89852168474538886735236200179777 absolute error = 2.3e-31 relative error = 2.5597601471930456863521395394427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 0.899052247713454320890886215346 y[1] (numeric) = 0.89905224771345432089088621534611 absolute error = 1.1e-31 relative error = 1.2235106500179639060383403960313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.586 y[1] (analytic) = 0.899582922010582111047526560393 y[1] (numeric) = 0.8995829220105821110475265603938 absolute error = 8.0e-31 relative error = 8.8930100875190838490674450121351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.4MB, time=13.33 x[1] = 0.587 y[1] (analytic) = 0.900113707620375573032443075118 y[1] (numeric) = 0.9001137076203755730324430751194 absolute error = 1.40e-30 relative error = 1.5553590486930483316102357829203e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.588 y[1] (analytic) = 0.900644604526448625922042347349 y[1] (numeric) = 0.90064460452644862592204234734946 absolute error = 4.6e-31 relative error = 5.1074530140761142880041459968197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 0.901175612712425762275702233107 y[1] (numeric) = 0.9011756127124257622757022331081 absolute error = 1.10e-30 relative error = 1.2206277938315904109537980853087e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (analytic) = 0.901706732161942037766636915383 y[1] (numeric) = 0.90170673216194203776663691538256 absolute error = 4.4e-31 relative error = 4.8796352994398869765238607421369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 0.902237962858643060826877632473 y[1] (numeric) = 0.90223796285864306082687763247219 absolute error = 8.1e-31 relative error = 8.9776758831295782925591166147533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.592 y[1] (analytic) = 0.902769304786184982306344457799 y[1] (numeric) = 0.90276930478618498230634445779901 absolute error = 1e-32 relative error = 1.1077027040001581281666459604731e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.4MB, time=13.48 x[1] = 0.593 y[1] (analytic) = 0.903300757928234485145984565436 y[1] (numeric) = 0.90330075792823448514598456543618 absolute error = 1.8e-31 relative error = 1.9926917853234067051664108970253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.594 y[1] (analytic) = 0.903832322268468774064952467858 y[1] (numeric) = 0.903832322268468774064952467858 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 0.90436399779057556526180776453 y[1] (numeric) = 0.90436399779057556526180776453048 absolute error = 4.8e-31 relative error = 5.3075973963213212569110845711994e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 0.904895784478253076129705991946 y[1] (numeric) = 0.90489578447825307612970599194684 absolute error = 8.4e-31 relative error = 9.2828369234179730537510586767565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.597 y[1] (analytic) = 0.905427682315210014985558217567 y[1] (numeric) = 0.90542768231521001498555821756668 absolute error = 3.2e-31 relative error = 3.5342414005031179455200618995628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 0.905959691285165570813135071842 y[1] (numeric) = 0.90595969128516557081313507184217 memory used=335.7MB, alloc=4.4MB, time=13.64 absolute error = 1.7e-31 relative error = 1.8764631764007448618283537112698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.599 y[1] (analytic) = 0.906491811371849403020090964109 y[1] (numeric) = 0.9064918113718494030200909641095 absolute error = 5.0e-31 relative error = 5.5157696266811221719048432963770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 0.90702404255900163120888427959 y[1] (numeric) = 0.90702404255900163120888427958947 absolute error = 5.3e-31 relative error = 5.8432850192669910976971822872984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.601 y[1] (analytic) = 0.907556384830372824961569406078 y[1] (numeric) = 0.90755638483037282496156940607769 absolute error = 3.1e-31 relative error = 3.4157657329240283972758092958206e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.602 y[1] (analytic) = 0.908088838169723993638436490113 y[1] (numeric) = 0.90808883816972399363843649011324 absolute error = 2.4e-31 relative error = 2.6429132251391402000577667066626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.603 y[1] (analytic) = 0.908621402560826576190474873494 y[1] (numeric) = 0.90862140256082657619047487349432 absolute error = 3.2e-31 relative error = 3.5218188686522600553170122830099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.4MB, time=13.80 x[1] = 0.604 y[1] (analytic) = 0.909154077987462430985636211962 y[1] (numeric) = 0.90915407798746243098563621196196 absolute error = 4e-32 relative error = 4.3996942837836134863875503743593e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.605 y[1] (analytic) = 0.909686864433423825648873328697 y[1] (numeric) = 0.9096868644334238256488733286974 absolute error = 4.0e-31 relative error = 4.3971174657900573203723808663637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 0.910219761882513426915930905977 y[1] (numeric) = 0.91021976188251342691593090597651 absolute error = 4.9e-31 relative error = 5.3833153324048212328696602592143e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.607 y[1] (analytic) = 0.910752770318544290500864168896 y[1] (numeric) = 0.91075277031854429050086416889572 absolute error = 2.8e-31 relative error = 3.0743798879916377743760005163143e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 0.911285889725339850977261765528 y[1] (numeric) = 0.91128588972533985097726176552853 absolute error = 5.3e-31 relative error = 5.8159574945217375769477257371043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.609 y[1] (analytic) = 0.911819120086733911673149098191 y[1] (numeric) = 0.9118191200867339116731490981905 absolute error = 5.0e-31 relative error = 5.4835437093317266743199787764109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.4MB, time=13.95 x[1] = 0.61 y[1] (analytic) = 0.912352461386570634579548410683 y[1] (numeric) = 0.91235246138657063457954841068353 absolute error = 5.3e-31 relative error = 5.8091584385547571138022599780452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.611 y[1] (analytic) = 0.912885913608704530272671986458 y[1] (numeric) = 0.91288591360870453027267198645843 absolute error = 4.3e-31 relative error = 4.7103366761370943908144531581849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.612 y[1] (analytic) = 0.913419476737000447849724862578 y[1] (numeric) = 0.91341947673700044784972486257751 absolute error = 4.9e-31 relative error = 5.3644575409145232522665880046645e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 0.913953150755333564878293514178 y[1] (numeric) = 0.91395315075533356487829351417756 absolute error = 4.4e-31 relative error = 4.8142511422643868807652165466052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.614 y[1] (analytic) = 0.914486935647589377359297013827 y[1] (numeric) = 0.9144869356475893773592970138278 absolute error = 8.0e-31 relative error = 8.7480746724225642106010354927349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 0.915020831397663689703477219748 y[1] (numeric) = 0.91502083139766368970347721974803 absolute error = 3e-32 relative error = 3.2786138818474770949028721564358e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.4MB, time=14.10 x[1] = 0.616 y[1] (analytic) = 0.915554837989462604721404596299 y[1] (numeric) = 0.91555483798946260472140459629906 absolute error = 6e-32 relative error = 6.5534031944780742886317698604086e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.617 y[1] (analytic) = 0.916088955406902513626976319482 y[1] (numeric) = 0.9160889554069025136269763194817 absolute error = 3.0e-31 relative error = 3.2747911458745611130529076192323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.618 y[1] (analytic) = 0.916623183633910086054383369381 y[1] (numeric) = 0.91662318363391008605438336938157 absolute error = 5.7e-31 relative error = 6.2184767980694252610984030479949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 0.917157522654422260088523360577 y[1] (numeric) = 0.91715752265442226008852336057605 absolute error = 9.5e-31 relative error = 1.0358089821370331026842844507924e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = 0.917691972452386232308835910475 y[1] (numeric) = 0.91769197245238623230883591047626 absolute error = 1.26e-30 relative error = 1.3730097220234474328935401132517e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.4MB, time=14.26 x[1] = 0.621 y[1] (analytic) = 0.918226533011759447846537394412 y[1] (numeric) = 0.91822653301175944784653739441219 absolute error = 1.9e-31 relative error = 2.0692061617605938621434308706820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.622 y[1] (analytic) = 0.918761204316509590455231984983 y[1] (numeric) = 0.91876120431650959045523198498281 absolute error = 1.9e-31 relative error = 2.0680019912393444256623518166578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 0.919295986350614572594875921787 y[1] (numeric) = 0.91929598635061457259487592178574 absolute error = 1.26e-30 relative error = 1.3706140554381173364114252947096e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.624 y[1] (analytic) = 0.919830879098062525529072006113 y[1] (numeric) = 0.91983087909806252552907200611321 absolute error = 2.1e-31 relative error = 2.2830283780635292973161312001342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.625 y[1] (analytic) = 0.920365882542851789435671363553 y[1] (numeric) = 0.92036588254285178943567136355274 absolute error = 2.6e-31 relative error = 2.8249634730228554078226185438889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.626 y[1] (analytic) = 0.920900996668990903530659565663 y[1] (numeric) = 0.92090099666899090353065956566301 absolute error = 1e-32 relative error = 1.0858930586644163229316570434969e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=14.42 x[1] = 0.627 y[1] (analytic) = 0.921436221460498596205304250008 y[1] (numeric) = 0.9214362214604985962053042500074 absolute error = 6.0e-31 relative error = 6.5115738455450074878696888260215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 0.921971556901403775176541425822 y[1] (numeric) = 0.92197155690140377517654142582081 absolute error = 1.19e-30 relative error = 1.2907122688246437487869605464803e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.629 y[1] (analytic) = 0.922507002975745517650577700459 y[1] (numeric) = 0.9225070029757455176505777004593 absolute error = 3.0e-31 relative error = 3.2520078333528659040371969306052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 0.923042559667573060499685709537 y[1] (numeric) = 0.92304255966757306049968570953763 absolute error = 6.3e-31 relative error = 6.8252540839166704582164012520951e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.631 y[1] (analytic) = 0.923578226960945790452170081297 y[1] (numeric) = 0.92357822696094579045217008129678 absolute error = 2.2e-31 relative error = 2.3820396971019420507428966845559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 0.924114004839933234295481313263 y[1] (numeric) = 0.92411400483993323429548131326302 absolute error = 2e-32 relative error = 2.1642351371424374405260370466191e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.4MB, time=14.58 x[1] = 0.633 y[1] (analytic) = 0.924649893288615049092454986662 y[1] (numeric) = 0.9246498932886150490924549866616 absolute error = 4.0e-31 relative error = 4.3259616737461325366310091765005e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 0.925185892291081012410653791334 y[1] (numeric) = 0.92518589229108101241065379133267 absolute error = 1.33e-30 relative error = 1.4375489413337885169207674058586e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.635 y[1] (analytic) = 0.925722001831431012564789881064 y[1] (numeric) = 0.92572200183143101256478988106455 absolute error = 5.5e-31 relative error = 5.9413085020329033491286637238603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 0.92625822189377503887220512631 y[1] (numeric) = 0.92625822189377503887220512631039 absolute error = 3.9e-31 relative error = 4.2104889412223312217036949862251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.637 y[1] (analytic) = 0.926794552462233171921386878189 y[1] (numeric) = 0.92679455246223317192138687818902 absolute error = 2e-32 relative error = 2.1579755671702654858269325654508e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 0.92733099352093557385349690449 y[1] (numeric) = 0.92733099352093557385349690448954 absolute error = 4.6e-31 relative error = 4.9604726167239331672184933320136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=362.4MB, alloc=4.4MB, time=14.73 TOP MAIN SOLVE Loop x[1] = 0.639 y[1] (analytic) = 0.927867545054022478656891205102 y[1] (numeric) = 0.92786754505402247865689120510249 absolute error = 4.9e-31 relative error = 5.2809261689551942230601457042226e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 0.928404207045644182474608460889 y[1] (numeric) = 0.92840420704564418247460846088822 absolute error = 7.8e-31 relative error = 8.4015129841139548049143107681065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.641 y[1] (analytic) = 0.928940979479961033924804916466 y[1] (numeric) = 0.92894097947996103392480491646634 absolute error = 3.4e-31 relative error = 3.6600818298525113732705689289280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 0.929477862341143424434113543768 y[1] (numeric) = 0.92947786234114342443411354376842 absolute error = 4.2e-31 relative error = 4.5186659846003807373515268724899e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 0.930014855613371778583905379441 y[1] (numeric) = 0.93001485561337177858390537944027 absolute error = 7.3e-31 relative error = 7.8493369820264195829754040741273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.4MB, time=14.89 x[1] = 0.644 y[1] (analytic) = 0.93055195928083654446943097531 y[1] (numeric) = 0.93055195928083654446943097531034 absolute error = 3.4e-31 relative error = 3.6537454637435186460033142807851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 0.931089173327738184071819947158 y[1] (numeric) = 0.93108917332773818407181994715747 absolute error = 5.3e-31 relative error = 5.6922582195405140081678309237513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.646 y[1] (analytic) = 0.931626497738287163642916652914 y[1] (numeric) = 0.93162649773828716364291665291432 absolute error = 3.2e-31 relative error = 3.4348529241800774769897000397654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 0.932163932496703944102930077233 y[1] (numeric) = 0.93216393249670394410293007723323 absolute error = 2.3e-31 relative error = 2.4673771638425118030955126790924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.648 y[1] (analytic) = 0.932701477587218971450876045018 y[1] (numeric) = 0.93270147758721897145087604501889 absolute error = 8.9e-31 relative error = 9.5421742260162136160032046729519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 0.933239132994072667187789932098 y[1] (numeric) = 0.93323913299407266718778993209738 absolute error = 6.2e-31 relative error = 6.6435276670287018488428566860508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.4MB, time=15.05 x[1] = 0.65 y[1] (analytic) = 0.933776898701515418752688086644 y[1] (numeric) = 0.93377689870151541875268808664462 absolute error = 6.2e-31 relative error = 6.6397016338930104136144922207241e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 0.934314774693807569971256220338 y[1] (numeric) = 0.93431477469380756997125622033858 absolute error = 5.8e-31 relative error = 6.2077579816724706097456541535713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.652 y[1] (analytic) = 0.93485276095521941151724307343 y[1] (numeric) = 0.93485276095521941151724307343003 absolute error = 3e-32 relative error = 3.2090614964164433400939432972614e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 0.935390857470031171386537703045 y[1] (numeric) = 0.9353908574700311713865377030455 absolute error = 5.0e-31 relative error = 5.3453590657531032686183504769284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.654 y[1] (analytic) = 0.935929064222533005383908789045 y[1] (numeric) = 0.93592906422253300538390878904463 absolute error = 3.7e-31 relative error = 3.9532910574516171450232480567563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 0.936467381197024987622384396651 y[1] (numeric) = 0.93646738119702498762238439665186 absolute error = 8.6e-31 relative error = 9.1834485350757040047355427308498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.4MB, time=15.21 x[1] = 0.656 y[1] (analytic) = 0.93700580837781710103525067987 y[1] (numeric) = 0.93700580837781710103525067987031 absolute error = 3.1e-31 relative error = 3.3084106547502060706417110472900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.657 y[1] (analytic) = 0.937544345749229227900648054363 y[1] (numeric) = 0.93754434574922922790064805436346 absolute error = 4.6e-31 relative error = 4.9064345818479186779128243767369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.658 y[1] (analytic) = 0.938082993295591140378743413058 y[1] (numeric) = 0.93808299329559114037874341305895 absolute error = 9.5e-31 relative error = 1.0127035739796785716823219991344e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.659 y[1] (analytic) = 0.938621751001242491061457002187 y[1] (numeric) = 0.93862175100124249106145700218769 absolute error = 6.9e-31 relative error = 7.3512040314851665894326084093049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 0.939160618850532803534722619821 y[1] (numeric) = 0.93916061885053280353472261982219 absolute error = 1.19e-30 relative error = 1.2670889048312919371647884918386e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.661 y[1] (analytic) = 0.93969959682782146295325984322 y[1] (numeric) = 0.9396995968278214629532598432195 absolute error = 5.0e-31 relative error = 5.3208493617307958246883121163141e-29 % Correct digits = 30 h = 0.001 memory used=377.6MB, alloc=4.4MB, time=15.36 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 0.940238684917477706627837035409 y[1] (numeric) = 0.9402386849174777066278370354077 absolute error = 1.30e-30 relative error = 1.3826276464194808196626068421393e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.663 y[1] (analytic) = 0.94077788310388061462500392548 y[1] (numeric) = 0.9407778831038806146250039254805 absolute error = 5.0e-31 relative error = 5.3147507927202200405826257116326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.664 y[1] (analytic) = 0.941317191371419100379272600982 y[1] (numeric) = 0.9413171913714191003792726009821 absolute error = 1.0e-31 relative error = 1.0623411631769786735754372770751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.665 y[1] (analytic) = 0.941856609704491901317725794575 y[1] (numeric) = 0.9418566097044919013177257945752 absolute error = 2.0e-31 relative error = 2.1234654823174211701896528463746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 0.942396138087507569497031390888 y[1] (numeric) = 0.94239613808750756949703139088823 absolute error = 2.3e-31 relative error = 2.4405872509915041072890009657211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.4MB, time=15.52 x[1] = 0.667 y[1] (analytic) = 0.942935776504884462252842123035 y[1] (numeric) = 0.94293577650488446225284212303466 absolute error = 3.4e-31 relative error = 3.6057598881257294217573232975629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.668 y[1] (analytic) = 0.943475524941050732861559471787 y[1] (numeric) = 0.94347552494105073286155947178735 absolute error = 3.5e-31 relative error = 3.7096881768275688967513203509556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.669 y[1] (analytic) = 0.944015383380444321214440823775 y[1] (numeric) = 0.94401538338044432121444082377491 absolute error = 9e-32 relative error = 9.5337429436496180880245847583787e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 0.944555351807512944504028988345 y[1] (numeric) = 0.94455535180751294450402898834535 absolute error = 3.5e-31 relative error = 3.7054472173624935684720419216693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.671 y[1] (analytic) = 0.945095430206714087922883215915 y[1] (numeric) = 0.94509543020671408792288321591461 absolute error = 3.9e-31 relative error = 4.1265674082742949904500999068869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.672 y[1] (analytic) = 0.945635618562514995374590903685 y[1] (numeric) = 0.9456356185625149953745909036852 absolute error = 2.0e-31 relative error = 2.1149795552754785144385920084305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.4MB, time=15.68 x[1] = 0.673 y[1] (analytic) = 0.946175916859392660197039217582 y[1] (numeric) = 0.94617591685939266019703921758233 absolute error = 3.3e-31 relative error = 3.4877235207524305717677823198702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.674 y[1] (analytic) = 0.946716325081833815897925902112 y[1] (numeric) = 0.94671632508183381589792590211263 absolute error = 6.3e-31 relative error = 6.6545805043083315206722616649403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 0.947256843214334926902488592604 y[1] (numeric) = 0.94725684321433492690248859260389 absolute error = 1.1e-31 relative error = 1.1612478789462849209001471415808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.676 y[1] (analytic) = 0.947797471241402179313431986934 y[1] (numeric) = 0.94779747124140217931343198693345 absolute error = 5.5e-31 relative error = 5.8029274891356622513343140298020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 0.948338209147551471683032276398 y[1] (numeric) = 0.94833820914755147168303227639827 absolute error = 2.7e-31 relative error = 2.8470855375815700566403754800298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.678 y[1] (analytic) = 0.948879056917308405797398277821 y[1] (numeric) = 0.94887905691730840579739827782154 absolute error = 5.4e-31 relative error = 5.6909254774189749033695632963296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.4MB, time=15.83 x[1] = 0.679 y[1] (analytic) = 0.94942001453520827747286875133 y[1] (numeric) = 0.94942001453520827747286875132958 absolute error = 4.2e-31 relative error = 4.4237533817486710076763936905193e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = 0.949961081985796067364525430468 y[1] (numeric) = 0.94996108198579606736452543046823 absolute error = 2.3e-31 relative error = 2.4211518172850683974788073949686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 0.950502259253626431786801333461 y[1] (numeric) = 0.9505022592536264317868013334614 absolute error = 4.0e-31 relative error = 4.2083014122880306893810654998557e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.682 y[1] (analytic) = 0.951043546323263693546163966445 y[1] (numeric) = 0.9510435463232636935461639664449 absolute error = 1.0e-31 relative error = 1.0514765636820753971521131783882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 0.951584943179281832785853071438 y[1] (numeric) = 0.95158494317928183278585307143764 absolute error = 3.6e-31 relative error = 3.7831620033543844990334471083548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.4MB, time=15.99 x[1] = 0.684 y[1] (analytic) = 0.952126449806264477842652613639 y[1] (numeric) = 0.95212644980626447784265261363901 absolute error = 1e-32 relative error = 1.0502806640898135671676861868063e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 0.952668066188804896115676744368 y[1] (numeric) = 0.95266806618880489611567674436684 absolute error = 1.16e-30 relative error = 1.2176329208143153429461391689482e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.686 y[1] (analytic) = 0.953209792311505984947149517574 y[1] (numeric) = 0.95320979231150598494714951757451 absolute error = 5.1e-31 relative error = 5.3503436925806736973143560544249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.687 y[1] (analytic) = 0.953751628158980262515158179408 y[1] (numeric) = 0.95375162815898026251515817940899 absolute error = 9.9e-31 relative error = 1.0380060917022911955111613097258e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.688 y[1] (analytic) = 0.954293573715849858738359891695 y[1] (numeric) = 0.95429357371584985873835989169446 absolute error = 5.4e-31 relative error = 5.6586360306015245445251522337579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 0.954835628966746506192621791548 y[1] (numeric) = 0.95483562896674650619262179154821 absolute error = 2.1e-31 relative error = 2.1993314202911205503047091439113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.4MB, time=16.14 x[1] = 0.69 y[1] (analytic) = 0.955377793896311531039574330557 y[1] (numeric) = 0.95537779389631153103957433055791 absolute error = 9.1e-31 relative error = 9.5250277514694208439550879396147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.691 y[1] (analytic) = 0.955920068489195843967057878072 y[1] (numeric) = 0.95592006848919584396705787807165 absolute error = 3.5e-31 relative error = 3.6613939966043910626795167014414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 0.956462452730059931141442614174 y[1] (numeric) = 0.95646245273005993114144261417508 absolute error = 1.08e-30 relative error = 1.1291608958797316950048274613398e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.693 y[1] (analytic) = 0.957004946603573845171801778855 y[1] (numeric) = 0.95700494660357384517180177885357 absolute error = 1.43e-30 relative error = 1.4942451500121219950078165594418e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 0.957547550094417196085918384662 y[1] (numeric) = 0.95754755009441719608591838466205 absolute error = 5e-32 relative error = 5.2216728030968115317651862261615e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.695 y[1] (analytic) = 0.958090263187279142318105540952 y[1] (numeric) = 0.95809026318727914231810554095105 absolute error = 9.5e-31 relative error = 9.9155584447715264160430571705517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.4MB, time=16.30 x[1] = 0.696 y[1] (analytic) = 0.958633085866858381708820578326 y[1] (numeric) = 0.95863308586685838170882057832514 absolute error = 8.6e-31 relative error = 8.9711070135069672586302401282398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.697 y[1] (analytic) = 0.959176018117863142516053202539 y[1] (numeric) = 0.95917601811786314251605320253923 absolute error = 2.3e-31 relative error = 2.3978914782639790468148914325974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 0.959719059925011174438467947471 y[1] (numeric) = 0.95971905992501117443846794746989 absolute error = 1.11e-30 relative error = 1.1565884708872315311627151575103e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.699 y[1] (analytic) = 0.960262211273029739650281237132 y[1] (numeric) = 0.96026221127302973965028123713262 absolute error = 6.2e-31 relative error = 6.4565698068870112255117917172280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 0.960805472146655603847853406952 y[1] (numeric) = 0.96080547214665560384785340695277 absolute error = 7.7e-31 relative error = 8.0141092273303434849330402064389e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.701 y[1] (analytic) = 0.961348842530635027307976074636 y[1] (numeric) = 0.96134884253063502730797607463717 absolute error = 1.17e-30 relative error = 1.2170400048749379403509886071327e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=404.3MB, alloc=4.4MB, time=16.45 TOP MAIN SOLVE Loop x[1] = 0.702 y[1] (analytic) = 0.961892322409723755957835291036 y[1] (numeric) = 0.96189232240972375595783529103655 absolute error = 5.5e-31 relative error = 5.7178957268537613783117610066126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.703 y[1] (analytic) = 0.962435911768687012456630941334 y[1] (numeric) = 0.96243591176868701245663094133473 absolute error = 7.3e-31 relative error = 7.5849206276858989969498887280578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 0.962979610592299487288832906751 y[1] (numeric) = 0.96297961059229948728883290675098 absolute error = 2e-32 relative error = 2.0768871718580425528965532305025e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.705 y[1] (analytic) = 0.963523418865345329869054536694 y[1] (numeric) = 0.96352341886534532986905453669554 absolute error = 1.54e-30 relative error = 1.5983005392993137324973118546449e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.706 y[1] (analytic) = 0.964067336572618139658524020976 y[1] (numeric) = 0.9640673365726181396585240209769 absolute error = 9.0e-31 relative error = 9.3354474926991545991459434593490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.4MB, time=16.61 x[1] = 0.707 y[1] (analytic) = 0.964611363698920957293134291221 y[1] (numeric) = 0.96461136369892095729313429122214 absolute error = 1.14e-30 relative error = 1.1818231081464038920959383478387e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.708 y[1] (analytic) = 0.965155500229066255723052120139 y[1] (numeric) = 0.96515550022906625572305212013935 absolute error = 3.5e-31 relative error = 3.6263586532629442627516162057115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 0.965699746147875931363867126624 y[1] (numeric) = 0.9656997461478759313638671266238 absolute error = 2.0e-31 relative error = 2.0710370982056191409764783370264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = 0.966244101440181295259261433989 y[1] (numeric) = 0.96624410144018129525926143398775 absolute error = 1.25e-30 relative error = 1.2936689581202950313048372216131e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 0.966788566090823064255180767777 y[1] (numeric) = 0.96678856609082306425518076777743 absolute error = 4.3e-31 relative error = 4.4477149925209654325240928723761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.712 y[1] (analytic) = 0.967333140084651352185487818731 y[1] (numeric) = 0.96733314008465135218548781873011 absolute error = 8.9e-31 relative error = 9.2005531819380867405146984174303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=412.0MB, alloc=4.4MB, time=16.76 x[1] = 0.713 y[1] (analytic) = 0.967877823406525661069078735419 y[1] (numeric) = 0.96787782340652566106907873542021 absolute error = 1.21e-30 relative error = 1.2501577892768587366151140451706e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.714 y[1] (analytic) = 0.968422616041314872318443650045 y[1] (numeric) = 0.96842261604131487231844365004505 absolute error = 5e-32 relative error = 5.1630351431060443783429117456724e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 0.96896751797389723795965217961 y[1] (numeric) = 0.96896751797389723795965217960991 absolute error = 9e-32 relative error = 9.2882370492861543388411693660162e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.716 y[1] (analytic) = 0.969512529189160371863744883487 y[1] (numeric) = 0.96951252918916037186374488348747 absolute error = 4.7e-31 relative error = 4.8477970717209667985562344342062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 0.970057649672001240989511696949 y[1] (numeric) = 0.97005764967200124098951169694954 absolute error = 5.4e-31 relative error = 5.5666794667573251516603878389488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.718 y[1] (analytic) = 0.970602879407326156637638398799 y[1] (numeric) = 0.9706028794073261566376383987992 absolute error = 2.0e-31 relative error = 2.0605749709100892916633104095229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.4MB, time=16.92 x[1] = 0.719 y[1] (analytic) = 0.971148218380050765716202209669 y[1] (numeric) = 0.9711482183800507657162022096693 absolute error = 3.0e-31 relative error = 3.0891268121813873210814180591223e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = 0.971693666575100042017497655899 y[1] (numeric) = 0.97169366657510004201749765589915 absolute error = 1.5e-31 relative error = 1.5436963845684058872649382425955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.721 y[1] (analytic) = 0.972239223977408277506173872155 y[1] (numeric) = 0.97223922397740827750617387215505 absolute error = 5e-32 relative error = 5.1427672086146814105777856423789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 0.972784890571919073618664554123 y[1] (numeric) = 0.97278489057191907361866455412292 absolute error = 8e-32 relative error = 8.2238119419151803360820697670620e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.723 y[1] (analytic) = 0.973330666343585332573891810672 y[1] (numeric) = 0.97333066634358533257389181067223 absolute error = 2.3e-31 relative error = 2.3630201734423735169040554881019e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.724 y[1] (analytic) = 0.973876551277369248695225202871 y[1] (numeric) = 0.9738765512773692486952252028706 absolute error = 4.0e-31 relative error = 4.1072967561991973503885022406081e-29 % Correct digits = 30 h = 0.001 memory used=419.6MB, alloc=4.4MB, time=17.07 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.725 y[1] (analytic) = 0.974422545358242299743677295117 y[1] (numeric) = 0.97442254535824229974367729511761 absolute error = 6.1e-31 relative error = 6.2601178811573586627017866452725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.726 y[1] (analytic) = 0.974968648571185238262317081465 y[1] (numeric) = 0.97496864857118523826231708146499 absolute error = 1e-32 relative error = 1.0256740065083099453810186755339e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.727 y[1] (analytic) = 0.975514860901188082931882687898 y[1] (numeric) = 0.97551486090118808293188268789893 absolute error = 9.3e-31 relative error = 9.5334272933664884753478456256460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.728 y[1] (analytic) = 0.976061182333250109937574788978 y[1] (numeric) = 0.97606118233325010993757478897829 absolute error = 2.9e-31 relative error = 2.9711252250270026537347222684835e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.729 y[1] (analytic) = 0.976607612852379844347012214751 y[1] (numeric) = 0.97660761285237984434701221475123 absolute error = 2.3e-31 relative error = 2.3550912052409517007263508733046e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.4MB, time=17.23 x[1] = 0.73 y[1] (analytic) = 0.977154152443595051499331261312 y[1] (numeric) = 0.97715415244359505149933126131156 absolute error = 4.4e-31 relative error = 4.5028719255777652329705685054381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.731 y[1] (analytic) = 0.977700801091922728405410255706 y[1] (numeric) = 0.97770080109192272840541025570583 absolute error = 1.7e-31 relative error = 1.7387732505705160189688891367085e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 0.978247558782399095159200963163 y[1] (numeric) = 0.97824755878239909515920096316267 absolute error = 3.3e-31 relative error = 3.3733792334809704069771363853229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.733 y[1] (analytic) = 0.978794425500069586360148461787 y[1] (numeric) = 0.97879442550006958636014846178762 absolute error = 6.2e-31 relative error = 6.3343229573793268579678799290414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.734 y[1] (analytic) = 0.97934140122998884254668114695 y[1] (numeric) = 0.97934140122998884254668114694981 absolute error = 1.9e-31 relative error = 1.9400793202592314410741708580990e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.735 y[1] (analytic) = 0.979888485957220701640752564582 y[1] (numeric) = 0.97988848595722070164075256458174 absolute error = 2.6e-31 relative error = 2.6533631502569865014826557611897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.4MB, time=17.38 x[1] = 0.736 y[1] (analytic) = 0.98043567966683819040341680952 y[1] (numeric) = 0.98043567966683819040341680951998 absolute error = 2e-32 relative error = 2.0399094417694181846105959814961e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 0.980982982343923515901419261833 y[1] (numeric) = 0.98098298234392351590141926183352 absolute error = 5.2e-31 relative error = 5.3008055120133861111147525797281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.738 y[1] (analytic) = 0.981530393973568056984784470818 y[1] (numeric) = 0.98153039397356805698478447081772 absolute error = 2.8e-31 relative error = 2.8526880239180877441971406641929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 0.982077914540872355775383032975 y[1] (numeric) = 0.98207791454087235577538303297576 absolute error = 7.6e-31 relative error = 7.7386935267280174285386791733989e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = 0.982625544030946109166459346866 y[1] (numeric) = 0.98262554403094610916645934686596 absolute error = 4e-32 relative error = 4.0707266611359605041548461935120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 0.983173282428908160333102164164 y[1] (numeric) = 0.98317328242890816033310216416348 absolute error = 5.2e-31 relative error = 5.2889964494900770328713041227579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.4MB, time=17.53 x[1] = 0.742 y[1] (analytic) = 0.983721129719886490253639892667 y[1] (numeric) = 0.98372112971988649025363989266784 absolute error = 8.4e-31 relative error = 8.5390053605861762482389466242642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 0.984269085889018209241942643284 y[1] (numeric) = 0.9842690858890182092419426432846 absolute error = 6.0e-31 relative error = 6.0958939847030136540259178216059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.744 y[1] (analytic) = 0.984817150921449548490613049219 y[1] (numeric) = 0.98481715092144954849061304921998 absolute error = 9.8e-31 relative error = 9.9510858343912638512731368506783e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 0.985365324802335851625047921752 y[1] (numeric) = 0.98536532480233585162504792175196 absolute error = 4e-32 relative error = 4.0594081193210238535762926600863e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.746 y[1] (analytic) = 0.98591360751684156626835284298 y[1] (numeric) = 0.98591360751684156626835284298018 absolute error = 1.8e-31 relative error = 1.8257177771727347348418005667695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.4MB, time=17.69 x[1] = 0.747 y[1] (analytic) = 0.986461999050140235617091831911 y[1] (numeric) = 0.98646199905014023561709183191042 absolute error = 5.8e-31 relative error = 5.8795980033542027712494149326291e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.748 y[1] (analytic) = 0.987010499387414490027854256098 y[1] (numeric) = 0.98701049938741449002785425609776 absolute error = 2.4e-31 relative error = 2.4315850758320745156401578788626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.749 y[1] (analytic) = 0.987559108513856038614621196855 y[1] (numeric) = 0.98755910851385603861462119685542 absolute error = 4.2e-31 relative error = 4.2529099917071662702713021354986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = 0.988107826414665660856913511735 y[1] (numeric) = 0.98810782641466566085691351173497 absolute error = 3e-32 relative error = 3.0361058983668358692082081685832e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.751 y[1] (analytic) = 0.988656653075053198218703873597 y[1] (numeric) = 0.98865665307505319821870387359726 absolute error = 2.6e-31 relative error = 2.6298310863666668373628121508845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.752 y[1] (analytic) = 0.989205588480237545778075101124 y[1] (numeric) = 0.98920558848023754577807510112299 absolute error = 1.01e-30 relative error = 1.0210213243454375077885903421715e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=438.7MB, alloc=4.4MB, time=17.84 x[1] = 0.753 y[1] (analytic) = 0.989754632615446643867607131058 y[1] (numeric) = 0.98975463261544664386760713105732 absolute error = 6.8e-31 relative error = 6.8703896662053123262081898622746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 0.990303785465917469725475017845 y[1] (numeric) = 0.99030378546591746972547501784454 absolute error = 4.6e-31 relative error = 4.6450392975482720625074771455443e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.755 y[1] (analytic) = 0.990853047016896029157240381586 y[1] (numeric) = 0.99085304701689602915724038158664 absolute error = 6.4e-31 relative error = 6.4590809093922755839554211841363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 0.991402417253637348208318760454 y[1] (numeric) = 0.99140241725363734820831876045434 absolute error = 3.4e-31 relative error = 3.4294852835023443835047772488240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.757 y[1] (analytic) = 0.991951896161405464847105358791 y[1] (numeric) = 0.99195189616140546484710535879043 absolute error = 5.7e-31 relative error = 5.7462463876096310527964024791551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.758 y[1] (analytic) = 0.992501483725473420658741717174 y[1] (numeric) = 0.99250148372547342065874171717379 absolute error = 2.1e-31 relative error = 2.1158658545450209275386967027777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.4MB, time=18.00 x[1] = 0.759 y[1] (analytic) = 0.993051179931123252549505865658 y[1] (numeric) = 0.99305117993112325254950586565808 absolute error = 8e-32 relative error = 8.0559795523880951121735534391924e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = 0.993600984763645984461808556263 y[1] (numeric) = 0.99360098476364598446180855626237 absolute error = 6.3e-31 relative error = 6.3405734259599390292878777540314e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.761 y[1] (analytic) = 0.994150898208341619099778205572 y[1] (numeric) = 0.99415089820834161909977820557204 absolute error = 4e-32 relative error = 4.0235340602807868704233632953268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.762 y[1] (analytic) = 0.994700920250519129665417213007 y[1] (numeric) = 0.99470092025051912966541721300695 absolute error = 5e-32 relative error = 5.0266365479391849631202695133130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.763 y[1] (analytic) = 0.99525105087549645160531235493 y[1] (numeric) = 0.99525105087549645160531235493119 absolute error = 1.19e-30 relative error = 1.1956782150123709645871717526355e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.764 y[1] (analytic) = 0.995801290068600474367881989314 y[1] (numeric) = 0.99580129006860047436788198931411 absolute error = 1.1e-31 relative error = 1.1046380547711695627928774438491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=446.3MB, alloc=4.4MB, time=18.16 TOP MAIN SOLVE Loop x[1] = 0.765 y[1] (analytic) = 0.996351637815167033171142840106 y[1] (numeric) = 0.99635163781516703317114284010642 absolute error = 4.2e-31 relative error = 4.2153792301781121269382250258359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.766 y[1] (analytic) = 0.996902094100540900780979164867 y[1] (numeric) = 0.99690209410054090078097916486815 absolute error = 1.15e-30 relative error = 1.1535736626549995639185135051699e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.767 y[1] (analytic) = 0.997452658910075779299897143476 y[1] (numeric) = 0.99745265891007577929989714347721 absolute error = 1.21e-30 relative error = 1.2130901543960756404911589446633e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.768 y[1] (analytic) = 0.998003332229134291966247359958 y[1] (numeric) = 0.99800333222913429196624735995865 absolute error = 6.5e-31 relative error = 6.5130043057888782377531631061163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.769 y[1] (analytic) = 0.998554114043087974963898283605 y[1] (numeric) = 0.99855411404308797496389828360545 absolute error = 4.5e-31 relative error = 4.5065159080660733779509917388265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.4MB, time=18.31 x[1] = 0.77 y[1] (analytic) = 0.999105004337317269242343689612 y[1] (numeric) = 0.99910500433731726924234368961221 absolute error = 2.1e-31 relative error = 2.1018811745346830251028056478725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.771 y[1] (analytic) = 0.999656003097211512347226993414 y[1] (numeric) = 0.99965600309721151234722699341353 absolute error = 4.7e-31 relative error = 4.7016173418036771072391742416895e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.772 y[1] (analytic) = 1.000207110308168930261265506809 y[1] (numeric) = 1.0002071103081689302612655068096 absolute error = 6e-31 relative error = 5.9987575954657723727925425693577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.773 y[1] (analytic) = 1.000758325955596629255557657773 y[1] (numeric) = 1.0007583259555966292555576577721 absolute error = 9e-31 relative error = 8.9931802380021642870444650410896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.774 y[1] (analytic) = 1.001309650024910587751256249555 y[1] (numeric) = 1.0013096500249105877512562495558 absolute error = 8e-31 relative error = 7.9895365033194036927959267908344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.775 y[1] (analytic) = 1.001861082501535648191590868393 y[1] (numeric) = 1.0018610825015356481915908683928 absolute error = 2e-31 relative error = 1.9962847493848374022799780173301e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.4MB, time=18.47 x[1] = 0.776 y[1] (analytic) = 1.00241262337090550892422258262 y[1] (numeric) = 1.0024126233709055089242225826203 absolute error = 3e-31 relative error = 2.9927795501134282682184190586921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.777 y[1] (analytic) = 1.002964272618462716093914109586 y[1] (numeric) = 1.0029642726184627160939141095868 absolute error = 8e-31 relative error = 7.9763559065909790069551036405722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.778 y[1] (analytic) = 1.003516030229658655545498660098 y[1] (numeric) = 1.0035160302296586555454986600988 absolute error = 8e-31 relative error = 7.9719703113951931751766333405921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.779 y[1] (analytic) = 1.004067896189953544737130703506 y[1] (numeric) = 1.0040678961899535447371307035062 absolute error = 2e-31 relative error = 1.9918971690950589580234300375120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.78 y[1] (analytic) = 1.004619870484816424663801929786 y[1] (numeric) = 1.0046198704848164246638019297853 absolute error = 7e-31 relative error = 6.9678096219835781780146199652176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.781 y[1] (analytic) = 1.005171953099725151791105718161 y[1] (numeric) = 1.0051719530997251517911057181603 absolute error = 7e-31 relative error = 6.9639826085612197511151726343177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.4MB, time=18.63 x[1] = 0.782 y[1] (analytic) = 1.005724144020166389999233454906 y[1] (numeric) = 1.0057241440201663899992334549061 absolute error = 1e-31 relative error = 9.9430843531578614295839582204315e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.783 y[1] (analytic) = 1.006276443231635602537186076005 y[1] (numeric) = 1.0062764432316356025371860760042 absolute error = 8e-31 relative error = 7.9501016383809686547156446922399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.784 y[1] (analytic) = 1.00682885071963704398718424327 y[1] (numeric) = 1.0068288507196370439871842432709 absolute error = 9e-31 relative error = 8.9389571957211945876831296397706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.785 y[1] (analytic) = 1.00738136646968375223926059545 y[1] (numeric) = 1.0073813664696837522392605954498 absolute error = 2e-31 relative error = 1.9853454377550155174342652307329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.786 y[1] (analytic) = 1.007933990467297540476017548555 y[1] (numeric) = 1.007933990467297540476017548555 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.787 memory used=461.5MB, alloc=4.4MB, time=18.78 y[1] (analytic) = 1.008486722698008989167534152472 y[1] (numeric) = 1.0084867226980089891675341524715 absolute error = 5e-31 relative error = 4.9579234782818735461293306755956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.788 y[1] (analytic) = 1.00903956314735743807640554346 y[1] (numeric) = 1.0090395631473574380764055434594 absolute error = 6e-31 relative error = 5.9462485110940848740928255624411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.789 y[1] (analytic) = 1.009592511800890978272898564775 y[1] (numeric) = 1.0095925118008909782728985647752 absolute error = 2e-31 relative error = 1.9809972604020605360459748446807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = 1.010145568644166444160207160114 y[1] (numeric) = 1.0101455686441664441602071601143 absolute error = 3e-31 relative error = 2.9698689902947829920094693237716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.791 y[1] (analytic) = 1.01069873366274940550979117699 y[1] (numeric) = 1.0106987336627494055097911769901 absolute error = 1e-31 relative error = 9.8941451759420194767542647772660e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.792 y[1] (analytic) = 1.011252006842214159506782249505 y[1] (numeric) = 1.0112520068422141595067822495059 absolute error = 9e-31 relative error = 8.8998587286900402559866152169846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.4MB, time=18.94 x[1] = 0.793 y[1] (analytic) = 1.011805388168143722805440462238 y[1] (numeric) = 1.0118053881681437228054404622373 absolute error = 7e-31 relative error = 6.9183264705413160259428858647998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.794 y[1] (analytic) = 1.01235887762612982359464552913 y[1] (numeric) = 1.0123588776261298235946455291306 absolute error = 6e-31 relative error = 5.9267519973444000505499965590017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.795 y[1] (analytic) = 1.012912475201772893673406253435 y[1] (numeric) = 1.0129124752017728936734062534351 absolute error = 1e-31 relative error = 9.8725213133622357714081115862123e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.796 y[1] (analytic) = 1.013466180880682060536372066725 y[1] (numeric) = 1.0134661808806820605363720667257 absolute error = 7e-31 relative error = 6.9069892336388950735547588775027e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.797 y[1] (analytic) = 1.014019994648475139469330477032 y[1] (numeric) = 1.0140199946484751394693304770335 absolute error = 1.5e-30 relative error = 1.4792607718943421194851775644824e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.798 y[1] (analytic) = 1.014573916490778625654674287993 y[1] (numeric) = 1.0145739164907786256546742879933 absolute error = 3e-31 relative error = 2.9569062945915648718005247165705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.4MB, time=19.10 x[1] = 0.799 y[1] (analytic) = 1.01512794639322768628682248273 y[1] (numeric) = 1.0151279463932276862868224827287 absolute error = 1.3e-30 relative error = 1.2806267472183472990451095430334e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.8 y[1] (analytic) = 1.015682084341466152697578697938 y[1] (numeric) = 1.015682084341466152697578697938 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.801 y[1] (analytic) = 1.016236330321146512491411245309 y[1] (numeric) = 1.0162363303211465124914112453089 absolute error = 1e-31 relative error = 9.8402307628972920190570589033272e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.802 y[1] (analytic) = 1.016790684317929901690638668985 y[1] (numeric) = 1.0167906843179299016906386689845 absolute error = 5e-31 relative error = 4.9174329359184028776105048296818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.803 y[1] (analytic) = 1.017345146317486096890504859321 y[1] (numeric) = 1.0173451463174860968905048593211 absolute error = 1e-31 relative error = 9.8295057839488316330861456881811e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.804 y[1] (analytic) = 1.017899716305493507424127774626 y[1] (numeric) = 1.017899716305493507424127774626 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.4MB, time=19.26 x[1] = 0.805 y[1] (analytic) = 1.018454394267639167537305853935 y[1] (numeric) = 1.0184543942676391675373058539352 absolute error = 2e-31 relative error = 1.9637599987363016951107144210676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.806 y[1] (analytic) = 1.019009180189618728573166235193 y[1] (numeric) = 1.0190091801896187285731662351926 absolute error = 4e-31 relative error = 3.9253817117287148587391942337597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.807 y[1] (analytic) = 1.019564074057136451166638924419 y[1] (numeric) = 1.0195640740571364511666389244189 absolute error = 1e-31 relative error = 9.8081133441737956048005613953101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.808 y[1] (analytic) = 1.020119075855905197448741092614 y[1] (numeric) = 1.0201190758559051974487410926141 absolute error = 1e-31 relative error = 9.8027771822713461761922544191098e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.809 y[1] (analytic) = 1.020674185571646423260655708221 y[1] (numeric) = 1.0206741855716464232606557082211 absolute error = 1e-31 relative error = 9.7974457876578167384484514448042e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.4MB, time=19.41 x[1] = 0.81 y[1] (analytic) = 1.021229403190090170377588743987 y[1] (numeric) = 1.0212294031900901703775887439869 absolute error = 1e-31 relative error = 9.7921191543861319880006333427934e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.811 y[1] (analytic) = 1.021784728696975058742389228 y[1] (numeric) = 1.0217847286969750587423892279995 absolute error = 5e-31 relative error = 4.8933986382593723759876419701673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.812 y[1] (analytic) = 1.022340162078048278708916439543 y[1] (numeric) = 1.0223401620780482787089164395433 absolute error = 3e-31 relative error = 2.9344440444382852029283387759711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.813 y[1] (analytic) = 1.022895703319065583295138581215 y[1] (numeric) = 1.022895703319065583295138581214 absolute error = 1.0e-30 relative error = 9.7761677632942029576728066961205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.814 y[1] (analytic) = 1.023451352405791280445947289457 y[1] (numeric) = 1.0234513524057912804459472894564 absolute error = 6e-31 relative error = 5.8625160696656562699576472097018e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.815 y[1] (analytic) = 1.024007109323998225305672376344 y[1] (numeric) = 1.0240071093239982253056723763437 absolute error = 3e-31 relative error = 2.9296671602021007447500155925908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.4MB, time=19.57 x[1] = 0.816 y[1] (analytic) = 1.024562974059467812500281225998 y[1] (numeric) = 1.0245629740594678125002812259977 absolute error = 3e-31 relative error = 2.9280777033290231159106629749832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.817 y[1] (analytic) = 1.025118946597989968429247299563 y[1] (numeric) = 1.025118946597989968429247299563 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.818 y[1] (analytic) = 1.025675026925363143567072233087 y[1] (numeric) = 1.0256750269253631435670722330872 absolute error = 2e-31 relative error = 1.9499353572011430529924674054674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.819 y[1] (analytic) = 1.026231215027394304774446043033 y[1] (numeric) = 1.0262312150273943047744460430322 absolute error = 8e-31 relative error = 7.7955141910066020632378113332286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (analytic) = 1.02678751088989892761902998444 y[1] (numeric) = 1.0267875108898989276190299844404 absolute error = 4e-31 relative error = 3.8956453575611465841869103304222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.821 y[1] (analytic) = 1.027343914498700988705846637013 y[1] (numeric) = 1.0273439144987009887058466370118 absolute error = 1.2e-30 relative error = 1.1680606494715527163186594798099e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.4MB, time=19.72 x[1] = 0.822 y[1] (analytic) = 1.027900425839632958017261824508 y[1] (numeric) = 1.0279004258396329580172618245079 absolute error = 1e-31 relative error = 9.7285687880045122184411623738268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.823 y[1] (analytic) = 1.028457044898535791262543002989 y[1] (numeric) = 1.02845704489853579126254300299 absolute error = 1.0e-30 relative error = 9.7233035153029335294157533259550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.824 y[1] (analytic) = 1.029013771661258922236978783422 y[1] (numeric) = 1.0290137716612589222369787834211 absolute error = 9e-31 relative error = 8.7462386295085565674356184145781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.825 y[1] (analytic) = 1.029570606113660255190544284114 y[1] (numeric) = 1.0295706061136602551905442841137 absolute error = 3e-31 relative error = 2.9138361003954425688466416678291e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.826 y[1] (analytic) = 1.030127548241606157206097038388 y[1] (numeric) = 1.0301275482416061572060970383884 absolute error = 4e-31 relative error = 3.8830142993727994513862012232100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.827 y[1] (analytic) = 1.030684598030971450587088212624 y[1] (numeric) = 1.0306845980309714505870882126239 absolute error = 1e-31 relative error = 9.7022891572301403797490383853162e-30 % Correct digits = 31 h = 0.001 memory used=488.2MB, alloc=4.4MB, time=19.87 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.828 y[1] (analytic) = 1.031241755467639405254773919624 y[1] (numeric) = 1.0312417554676394052547739196244 absolute error = 4e-31 relative error = 3.8788188887736721267292914212795e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.829 y[1] (analytic) = 1.031799020537501731154911441907 y[1] (numeric) = 1.0317990205375017311549114419075 absolute error = 5e-31 relative error = 4.8459049683874653132346946689644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (analytic) = 1.032356393226458570673925209127 y[1] (numeric) = 1.032356393226458570673925209126 absolute error = 1.0e-30 relative error = 9.6865772959923846287713832331079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.831 y[1] (analytic) = 1.032913873520418491064527403375 y[1] (numeric) = 1.0329138735204184910645274033765 absolute error = 1.5e-30 relative error = 1.4522023940753548397301946629518e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.832 y[1] (analytic) = 1.033471461405298476880778095622 y[1] (numeric) = 1.0334714614052984768807780956218 absolute error = 2e-31 relative error = 1.9352251849126351251353875921606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.4MB, time=20.03 x[1] = 0.833 y[1] (analytic) = 1.03402915686702392242256984586 y[1] (numeric) = 1.0340291568670239224225698458595 absolute error = 5e-31 relative error = 4.8354535912211222607413218138939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.834 y[1] (analytic) = 1.034586959891528624189521729005 y[1] (numeric) = 1.0345869598915286241895217290048 absolute error = 2e-31 relative error = 1.9331386123498890851223867061805e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.835 y[1] (analytic) = 1.03514487046475477334426777773 y[1] (numeric) = 1.0351448704647547733442677777295 absolute error = 5e-31 relative error = 4.8302417783852052293787352045887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.836 y[1] (analytic) = 1.035702888572652948185124862697 y[1] (numeric) = 1.0357028885726529481851248626972 absolute error = 2e-31 relative error = 1.9310557323599692827681660048823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.837 y[1] (analytic) = 1.036261014201182106628125059776 y[1] (numeric) = 1.0362610142011821066281250597755 absolute error = 5e-31 relative error = 4.8250391855707585773207733071572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.838 y[1] (analytic) = 1.036819247336309578698397582871 y[1] (numeric) = 1.0368192473363095786983975828714 absolute error = 4e-31 relative error = 3.8579530716432904219007579164025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.4MB, time=20.19 x[1] = 0.839 y[1] (analytic) = 1.037377587964011059030885390041 y[1] (numeric) = 1.0373775879640110590308853900403 absolute error = 7e-31 relative error = 6.7477841060152589337255982388149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.84 y[1] (analytic) = 1.037936036070270599380381599454 y[1] (numeric) = 1.0379360360702705993803815994536 absolute error = 4e-31 relative error = 3.8538020272852257165964102492408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.841 y[1] (analytic) = 1.038494591641080601140870880681 y[1] (numeric) = 1.0384945916410806011408708806802 absolute error = 8e-31 relative error = 7.7034585104174723499140585127652e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.842 y[1] (analytic) = 1.03905325466244180787416101554 y[1] (numeric) = 1.0390532546624418078741610155399 absolute error = 1e-31 relative error = 9.6241457837969135196386077002353e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.843 y[1] (analytic) = 1.039612025120363297847789851523 y[1] (numeric) = 1.0396120251203632978477898515238 absolute error = 8e-31 relative error = 7.6951783999168179593333706500339e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.844 y[1] (analytic) = 1.040170903000862476582192899448 y[1] (numeric) = 1.0401709030008624765821928994483 absolute error = 3e-31 relative error = 2.8841414342057523364054967182153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.4MB, time=20.34 x[1] = 0.845 y[1] (analytic) = 1.040729888289965069407116855614 y[1] (numeric) = 1.0407298882899650694071168556153 absolute error = 1.3e-30 relative error = 1.2491233456704549474556999665375e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.846 y[1] (analytic) = 1.04128898097370511402726435729 y[1] (numeric) = 1.0412889809737051140272643572899 absolute error = 1e-31 relative error = 9.6034820138488745464746004188958e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.847 y[1] (analytic) = 1.041848181038124953097155308784 y[1] (numeric) = 1.0418481810381249530971553087844 absolute error = 4e-31 relative error = 3.8393309819999826696312055351559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.848 y[1] (analytic) = 1.042407488469275226805190143844 y[1] (numeric) = 1.0424074884692752268051901438446 absolute error = 6e-31 relative error = 5.7559064630384693563215870655675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.849 y[1] (analytic) = 1.04296690325321486546690041838 y[1] (numeric) = 1.0429669032532148654669004183802 absolute error = 2e-31 relative error = 1.9176063916904883371065367808388e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.4MB, time=20.50 x[1] = 0.85 y[1] (analytic) = 1.043526425376011082127372155861 y[1] (numeric) = 1.0435264253760110821273721558608 absolute error = 2e-31 relative error = 1.9165782019169714425923295581647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.851 y[1] (analytic) = 1.044086054823739365172827395916 y[1] (numeric) = 1.0440860548237393651728273959156 absolute error = 4e-31 relative error = 3.8311018344893730444801721253026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.852 y[1] (analytic) = 1.044645791582483470951349424823 y[1] (numeric) = 1.0446457915824834709513494248226 absolute error = 4e-31 relative error = 3.8290490731222811248991920963182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.853 y[1] (analytic) = 1.045205635638335416402737194664 y[1] (numeric) = 1.0452056356383354164027371946639 absolute error = 1e-31 relative error = 9.5674952937779836096224284193926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.854 y[1] (analytic) = 1.045765586977395471697474465943 y[1] (numeric) = 1.0457655869773954716974744659418 absolute error = 1.2e-30 relative error = 1.1474846896314425673900939635222e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.855 y[1] (analytic) = 1.046325645585772152884799236413 y[1] (numeric) = 1.0463256455857721528847992364124 absolute error = 6e-31 relative error = 5.7343524220329857597493704478479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.4MB, time=20.66 x[1] = 0.856 y[1] (analytic) = 1.046885811449582214549859046786 y[1] (numeric) = 1.0468858114495822145498590467861 absolute error = 1e-31 relative error = 9.5521401576294051751574769867707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.857 y[1] (analytic) = 1.047446084554950642479937781776 y[1] (numeric) = 1.0474460845549506424799377817759 absolute error = 1e-31 relative error = 9.5470307707999117785320330953429e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.858 y[1] (analytic) = 1.048006464888010646339739612743 y[1] (numeric) = 1.0480064648880106463397396127427 absolute error = 3e-31 relative error = 2.8625777612169388986363936038059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.859 y[1] (analytic) = 1.048566952434903652355715755889 y[1] (numeric) = 1.0485669524349036523557157558894 absolute error = 4e-31 relative error = 3.8147301807590822408794506538214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (analytic) = 1.0491275471817792960094197476 y[1] (numeric) = 1.0491275471817792960094197475997 absolute error = 3e-31 relative error = 2.8595188526492848595841410286331e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.861 y[1] (analytic) = 1.049688249114795414739876966093 y[1] (numeric) = 1.0496882491147954147398769660925 absolute error = 5e-31 relative error = 4.7633190180194089395661306170933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.4MB, time=20.81 x[1] = 0.862 y[1] (analytic) = 1.05024905822011804065495415608 y[1] (numeric) = 1.0502490582201180406549541560806 absolute error = 6e-31 relative error = 5.7129306168275381649770769232265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.863 y[1] (analytic) = 1.050809974483921393251714740575 y[1] (numeric) = 1.0508099744839213932517147405748 absolute error = 2e-31 relative error = 1.9032936958770772601402423846888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.864 y[1] (analytic) = 1.051370997892387872145745731364 y[1] (numeric) = 1.0513709978923878721457457313635 absolute error = 5e-31 relative error = 4.7556951922995411359726327177227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.865 y[1] (analytic) = 1.051932128431708049809442077029 y[1] (numeric) = 1.0519321284317080498094420770288 absolute error = 2e-31 relative error = 1.9012633476474722787561237502746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.866 y[1] (analytic) = 1.052493366088080664319234314623 y[1] (numeric) = 1.0524933660880806643192343146225 absolute error = 5e-31 relative error = 4.7506237674295819767039355607894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.867 y[1] (analytic) = 1.053054710847712612111745418332 y[1] (numeric) = 1.0530547108477126121117454183331 absolute error = 1.1e-30 relative error = 1.0445801045935175305137460665945e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=515.0MB, alloc=4.4MB, time=20.97 x[1] = 0.868 y[1] (analytic) = 1.053616162696818940748862765614 y[1] (numeric) = 1.0536161626968189407488627656141 absolute error = 1e-31 relative error = 9.4911224353318206959075803914101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.869 y[1] (analytic) = 1.054177721621622841691711168326 y[1] (numeric) = 1.0541777216216228416917111683263 absolute error = 3e-31 relative error = 2.8458199585029679359467297226094e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.87 y[1] (analytic) = 1.054739387608355643083512943464 y[1] (numeric) = 1.054739387608355643083512943465 absolute error = 1.0e-30 relative error = 9.4810150426592261095096343425240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.871 y[1] (analytic) = 1.055301160643256802541321025002 y[1] (numeric) = 1.0553011606432568025413210250016 absolute error = 4e-31 relative error = 3.7903871891525331558549183756979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.872 y[1] (analytic) = 1.055863040712573899956611145263 y[1] (numeric) = 1.0558630407125738999566111452643 absolute error = 1.3e-30 relative error = 1.2312202907705383415067968732369e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.4MB, time=21.12 x[1] = 0.873 y[1] (analytic) = 1.05642502780256263030471914112 y[1] (numeric) = 1.0564250278025626303047191411198 absolute error = 2e-31 relative error = 1.8931774118984465867574547904723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.874 y[1] (analytic) = 1.056987121899486796463109466992 y[1] (numeric) = 1.0569871218994867964631094669916 absolute error = 4e-31 relative error = 3.7843412820505265016235475331731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.875 y[1] (analytic) = 1.057549322989618302038461023464 y[1] (numeric) = 1.0575493229896183020384610234651 absolute error = 1.1e-30 relative error = 1.0401406119672759940587419512444e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.876 y[1] (analytic) = 1.058111631059237144202556436883 y[1] (numeric) = 1.0581116310592371442025564368827 absolute error = 3e-31 relative error = 2.8352396022684382559552695861367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.877 y[1] (analytic) = 1.058674046094631406536960951927 y[1] (numeric) = 1.0586740460946314065369609519262 absolute error = 8e-31 relative error = 7.5566223895932801535819429913990e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.878 y[1] (analytic) = 1.059236568082097251886477125717 y[1] (numeric) = 1.0592365680820972518864771257161 absolute error = 9e-31 relative error = 8.4966855102971156764868764051601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.4MB, time=21.28 x[1] = 0.879 y[1] (analytic) = 1.05979919700793891522136153843 y[1] (numeric) = 1.0597991970079389152213615384299 absolute error = 1e-31 relative error = 9.4357497422458326157293043755491e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (analytic) = 1.060361932858468696508289761856 y[1] (numeric) = 1.060361932858468696508289761856 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.881 y[1] (analytic) = 1.060924775620006953590055853652 y[1] (numeric) = 1.060924775620006953590055853652 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.882 y[1] (analytic) = 1.06148772527888209507399267137 y[1] (numeric) = 1.0614877252788820950739926713696 absolute error = 4e-31 relative error = 3.7682960478408638247032893186441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.883 y[1] (analytic) = 1.062050781821430573229099326543 y[1] (numeric) = 1.062050781821430573229099326544 absolute error = 1.0e-30 relative error = 9.4157456226809353250518597553861e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.884 y[1] (analytic) = 1.062613945233996876891862125319 y[1] (numeric) = 1.0626139452339968768918621253191 absolute error = 1e-31 relative error = 9.4107554722500019612489637275893e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.4MB, time=21.43 x[1] = 0.885 y[1] (analytic) = 1.063177215502933524380755368198 y[1] (numeric) = 1.0631772155029335243807553681975 absolute error = 5e-31 relative error = 4.7028848315139650137535036196241e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.886 y[1] (analytic) = 1.063740592614601056419408407558 y[1] (numeric) = 1.0637405926146010564194084075589 absolute error = 9e-31 relative error = 8.4607093707673788598534376305698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.887 y[1] (analytic) = 1.064304076555368029068425387591 y[1] (numeric) = 1.0643040765553680290684253875913 absolute error = 3e-31 relative error = 2.8187433141377540690518919748969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.888 y[1] (analytic) = 1.064867667311611006665844117217 y[1] (numeric) = 1.0648676673116110066658441172168 absolute error = 2e-31 relative error = 1.8781676459848247877615857867207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.889 y[1] (analytic) = 1.065431364869714554776220552475 y[1] (numeric) = 1.0654313648697145547762205524756 absolute error = 6e-31 relative error = 5.6315218397326845452658607746590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.4MB, time=21.59 x[1] = 0.89 y[1] (analytic) = 1.065995169216071233148325390654 y[1] (numeric) = 1.0659951692160712331483253906547 absolute error = 7e-31 relative error = 6.5666338855435650841275271114308e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.891 y[1] (analytic) = 1.066559080337081588681439304212 y[1] (numeric) = 1.0665590803370815886814393042116 absolute error = 4e-31 relative error = 3.7503782713432213564196339619429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.892 y[1] (analytic) = 1.06712309821915414840023336825 y[1] (numeric) = 1.06712309821915414840023336825 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.893 y[1] (analytic) = 1.067687222848705412438221260952 y[1] (numeric) = 1.0676872228487054124382212609527 absolute error = 7e-31 relative error = 6.5562271891980126173627847407747e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.894 y[1] (analytic) = 1.068251454212159847029769841969 y[1] (numeric) = 1.0682514542121598470297698419688 absolute error = 2e-31 relative error = 1.8722183734119124693375836373259e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.895 y[1] (analytic) = 1.068815792295949877510654739282 y[1] (numeric) = 1.0688157922959498775106547392832 absolute error = 1.2e-30 relative error = 1.1227379017503568617747485261252e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.4MB, time=21.74 x[1] = 0.896 y[1] (analytic) = 1.069380237086515881327147600573 y[1] (numeric) = 1.0693802370865158813271476005741 absolute error = 1.1e-30 relative error = 1.0286331857010060803814218775371e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.897 y[1] (analytic) = 1.069944788570306181053621690483 y[1] (numeric) = 1.0699447885703061810536216904821 absolute error = 9e-31 relative error = 8.4116489898755267250486703146474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.898 y[1] (analytic) = 1.070509446733777037418662540574 y[1] (numeric) = 1.0705094467337770374186625405744 absolute error = 4e-31 relative error = 3.7365387220116259360519399347560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.899 y[1] (analytic) = 1.071074211563392642339670384093 y[1] (numeric) = 1.0710742115633926423396703840945 absolute error = 1.5e-30 relative error = 1.4004631834152053415431183528298e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.9 y[1] (analytic) = 1.071639083045625111965941132832 y[1] (numeric) = 1.071639083045625111965941132832 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.901 y[1] (analytic) = 1.07220406116695447973021267864 y[1] (numeric) = 1.0722040611669544797302126786403 absolute error = 3e-31 relative error = 2.7979748525993183719027737329004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.4MB, time=21.90 x[1] = 0.902 y[1] (analytic) = 1.072769145913868689408663327262 y[1] (numeric) = 1.0727691459138686894086633272631 absolute error = 1.1e-30 relative error = 1.0253837036512957674628021742582e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.903 y[1] (analytic) = 1.073334337272863588189349197208 y[1] (numeric) = 1.0733343372728635881893491972076 absolute error = 4e-31 relative error = 3.7267045887707569107483964129830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.904 y[1] (analytic) = 1.073899635230442919749067441426 y[1] (numeric) = 1.0738996352304429197490674414256 absolute error = 4e-31 relative error = 3.7247428612280507756612771821517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.905 y[1] (analytic) = 1.074465039773118317338632174526 y[1] (numeric) = 1.0744650397731183173386321745265 absolute error = 5e-31 relative error = 4.6534785357518835982043170669461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.906 y[1] (analytic) = 1.075030550887409296876550013159 y[1] (numeric) = 1.0750305508874092968765500131585 absolute error = 5e-31 relative error = 4.6510306110581063911994082856220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.907 y[1] (analytic) = 1.075596168559843250051082162043 y[1] (numeric) = 1.0755961685598432500510821620441 absolute error = 1.1e-30 relative error = 1.0226886559784161103916004721781e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=541.7MB, alloc=4.4MB, time=22.05 TOP MAIN SOLVE Loop x[1] = 0.908 y[1] (analytic) = 1.076161892776955437430680002957 y[1] (numeric) = 1.0761618927769554374306800029581 absolute error = 1.1e-30 relative error = 1.0221510419417770928538893444660e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.909 y[1] (analytic) = 1.076727723525288981582781168673 y[1] (numeric) = 1.0767277235252889815827811686744 absolute error = 1.4e-30 relative error = 1.3002358622440711764829356985588e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.91 y[1] (analytic) = 1.077293660791394860200953108598 y[1] (numeric) = 1.0772936607913948602009531085977 absolute error = 3e-31 relative error = 2.7847560133196721905381996901008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.911 y[1] (analytic) = 1.077859704561831899240371177427 y[1] (numeric) = 1.0778597045618318992403711774263 absolute error = 7e-31 relative error = 6.4943516956556212927084963883045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.912 y[1] (analytic) = 1.078425854823166766061618302769 y[1] (numeric) = 1.0784258548231667660616183027694 absolute error = 4e-31 relative error = 3.7091098865168564567339677392723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.4MB, time=22.21 x[1] = 0.913 y[1] (analytic) = 1.078992111561973962582793312164 y[1] (numeric) = 1.0789921115619739625827933121634 absolute error = 6e-31 relative error = 5.5607450098168568462505904840254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.914 y[1] (analytic) = 1.079558474764835818439915024397 y[1] (numeric) = 1.079558474764835818439915024398 absolute error = 1.0e-30 relative error = 9.2630461746672283522380709333434e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.915 y[1] (analytic) = 1.080124944418342484155609234475 y[1] (numeric) = 1.0801249444183424841556092344763 absolute error = 1.3e-30 relative error = 1.2035644642019283393240018314228e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.916 y[1] (analytic) = 1.080691520509091924316065745889 y[1] (numeric) = 1.0806915205090919243160657458885 absolute error = 5e-31 relative error = 4.6266671895830191184300002863111e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.917 y[1] (analytic) = 1.081258203023689910756252628183 y[1] (numeric) = 1.0812582030236899107562526281837 absolute error = 7e-31 relative error = 6.4739393240437991434798926873228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.918 y[1] (analytic) = 1.081824991948750015753374902071 y[1] (numeric) = 1.0818249919487500157533749020721 absolute error = 1.1e-30 relative error = 1.0168003218510513024613409084425e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.4MB, time=22.37 x[1] = 0.919 y[1] (analytic) = 1.082391887270893605228564878484 y[1] (numeric) = 1.082391887270893605228564878484 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (analytic) = 1.082958888976749831956791402155 y[1] (numeric) = 1.082958888976749831956791402154 absolute error = 1.0e-30 relative error = 9.2339608657246924742980811742885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.921 y[1] (analytic) = 1.083525997052955628784975274386 y[1] (numeric) = 1.0835259970529556287849752743849 absolute error = 1.1e-30 relative error = 1.0152040680074603048343842727665e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.922 y[1] (analytic) = 1.084093211486155701858298153678 y[1] (numeric) = 1.0840932114861557018582981536781 absolute error = 1e-31 relative error = 9.2242990676892583294635937978382e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.923 y[1] (analytic) = 1.084660532263002523854692256897 y[1] (numeric) = 1.0846605322630025238546922568978 absolute error = 8e-31 relative error = 7.3755795127061966086798749994021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.924 y[1] (analytic) = 1.085227959370156327227498207563 y[1] (numeric) = 1.0852279593701563272274982075629 absolute error = 1e-31 relative error = 9.2146538555860571706331788396608e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.4MB, time=22.53 x[1] = 0.925 y[1] (analytic) = 1.08579549279428509745627840173 y[1] (numeric) = 1.0857954927942850974562784017308 absolute error = 8e-31 relative error = 7.3678699654684242200120739550576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.926 y[1] (analytic) = 1.086363132522064566305773285761 y[1] (numeric) = 1.08636313252206456630577328576 absolute error = 1.0e-30 relative error = 9.2050251896751430961839083662341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.927 y[1] (analytic) = 1.086930878540178205092987964002 y[1] (numeric) = 1.0869308785401782050929879640024 absolute error = 4e-31 relative error = 3.6800868196625998393692651469832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.928 y[1] (analytic) = 1.087498730835317217962396578192 y[1] (numeric) = 1.0874987308353172179623965781916 absolute error = 4e-31 relative error = 3.6781652121355261424469746844453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.929 y[1] (analytic) = 1.088066689394180535169251923954 y[1] (numeric) = 1.0880666893941805351692519239531 absolute error = 9e-31 relative error = 8.2715518154600129282165486586244e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.4MB, time=22.69 x[1] = 0.93 y[1] (analytic) = 1.088634754203474806370987793471 y[1] (numeric) = 1.0886347542034748063709877934721 absolute error = 1.1e-30 relative error = 1.0104399071889275138236254555342e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.931 y[1] (analytic) = 1.089202925249914393926701556909 y[1] (numeric) = 1.0892029252499143939267015569083 absolute error = 7e-31 relative error = 6.4267179583582835829228430909936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.932 y[1] (analytic) = 1.089771202520221366204704518653 y[1] (numeric) = 1.0897712025202213662047045186532 absolute error = 2e-31 relative error = 1.8352476147055177721185280295871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.933 y[1] (analytic) = 1.090339586001125490898127607974 y[1] (numeric) = 1.0903395860011254908981276079743 absolute error = 3e-31 relative error = 2.7514363768105024881680509543172e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.934 y[1] (analytic) = 1.09090807567936422834856998699 y[1] (numeric) = 1.0909080756793642283485699869907 absolute error = 7e-31 relative error = 6.4166726381970746202294465468633e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.935 y[1] (analytic) = 1.091476671541682724877778182274 y[1] (numeric) = 1.0914766715416827248777781822726 absolute error = 1.4e-30 relative error = 1.2826659849930974788016331498058e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.4MB, time=22.84 x[1] = 0.936 y[1] (analytic) = 1.09204537357483380612734336965 y[1] (numeric) = 1.0920453735748338061273433696508 absolute error = 8e-31 relative error = 7.3257029365106227124203406975098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.937 y[1] (analytic) = 1.092614181765577970406404465068 y[1] (numeric) = 1.0926141817655779704064044650679 absolute error = 1e-31 relative error = 9.1523615260427904316816640128135e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.938 y[1] (analytic) = 1.093183096100683382047344697495 y[1] (numeric) = 1.0931830961006833820473446974938 absolute error = 1.2e-30 relative error = 1.0977118144987110759375868545626e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.939 y[1] (analytic) = 1.093752116566925864769469363069 y[1] (numeric) = 1.0937521165669258647694693630689 absolute error = 1e-31 relative error = 9.1428394501196904091680630522722e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.94 y[1] (analytic) = 1.094321243151088895050652482729 y[1] (numeric) = 1.0943212431510888950506524827293 absolute error = 3e-31 relative error = 2.7414253527250599781995874576597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.941 y[1] (analytic) = 1.094890475839963595506940108604 y[1] (numeric) = 1.094890475839963595506940108604 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.4MB, time=23.00 x[1] = 0.942 y[1] (analytic) = 1.095459814620348728280098047464 y[1] (numeric) = 1.0954598146203487282800980474642 absolute error = 2e-31 relative error = 1.8257173593292748189676500221867e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.943 y[1] (analytic) = 1.096029259479050688433091792439 y[1] (numeric) = 1.096029259479050688433091792439 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.944 y[1] (analytic) = 1.0965988104028834973534864771 y[1] (numeric) = 1.0965988104028834973534864770987 absolute error = 1.3e-30 relative error = 1.1854836861644854296919665096102e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.945 y[1] (analytic) = 1.097168467378668796164754688842 y[1] (numeric) = 1.0971684673786687961647546888414 absolute error = 6e-31 relative error = 5.4686223477922860855258434952829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.946 y[1] (analytic) = 1.097738230393235839145480001303 y[1] (numeric) = 1.0977382303932358391454800013027 absolute error = 3e-31 relative error = 2.7328919745514638140035510564331e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=568.4MB, alloc=4.4MB, time=23.15 x[1] = 0.947 y[1] (analytic) = 1.098308099433421487156444108243 y[1] (numeric) = 1.0983080994334214871564441082431 absolute error = 1e-31 relative error = 9.1049132799427120911877864718487e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.948 y[1] (analytic) = 1.098878074486070201075585464051 y[1] (numeric) = 1.0988780744860702010755854640516 absolute error = 6e-31 relative error = 5.4601144015054768441621785302342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.949 y[1] (analytic) = 1.099448155538034035240817358637 y[1] (numeric) = 1.0994481555380340352408173586366 absolute error = 4e-31 relative error = 3.6381888312346393288210610945854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.95 y[1] (analytic) = 1.10001834257617263090069337706 y[1] (numeric) = 1.1000183425761726309006933770602 absolute error = 2e-31 relative error = 1.8181515003796462756165716662429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.951 y[1] (analytic) = 1.100588635587353209672908216805 y[1] (numeric) = 1.100588635587353209672908216805 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) = 1.101159034558450567010621858047 y[1] (numeric) = 1.1011590345584505670106218580471 absolute error = 1e-31 relative error = 9.0813403751528594536140655393438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.4MB, time=23.31 x[1] = 0.953 y[1] (analytic) = 1.101729539476347065676595104743 y[1] (numeric) = 1.1017295394763470656765951047436 absolute error = 6e-31 relative error = 5.4459826890470821136319642242369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.954 y[1] (analytic) = 1.102300150327932629225124536727 y[1] (numeric) = 1.1023001503279326292251245367272 absolute error = 2e-31 relative error = 1.8143878501740229481582773284487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.955 y[1] (analytic) = 1.102870867100104735491764935336 y[1] (numeric) = 1.1028708671001047354917649353365 absolute error = 5e-31 relative error = 4.5336223388936095044620473514045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.956 y[1] (analytic) = 1.103441689779768410090827267397 y[1] (numeric) = 1.1034416897797684100908272673981 absolute error = 1.1e-30 relative error = 9.9688095002060750176405329607306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.957 y[1] (analytic) = 1.104012618353836219920640334612 y[1] (numeric) = 1.1040126183538362199206403346115 absolute error = 5e-31 relative error = 4.5289337430358057774419149124866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.958 y[1] (analytic) = 1.104583652809228266676564217578 y[1] (numeric) = 1.1045836528092282666765642175788 absolute error = 8e-31 relative error = 7.2425478863950500759090719297182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.4MB, time=23.47 x[1] = 0.959 y[1] (analytic) = 1.105154793132872180371743665859 y[1] (numeric) = 1.1051547931328721803717436658588 absolute error = 2e-31 relative error = 1.8097012404302544162811978000687e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (analytic) = 1.105726039311703112865589607517 y[1] (numeric) = 1.1057260393117031128655896075163 absolute error = 7e-31 relative error = 6.3306820596875775441813935001104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.961 y[1] (analytic) = 1.10629739133266373139997697368 y[1] (numeric) = 1.1062973913326637313999769736802 absolute error = 2e-31 relative error = 1.8078321576721496658432517102656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.962 y[1] (analytic) = 1.106868849182704212143147055616 y[1] (numeric) = 1.1068688491827042121431470556163 absolute error = 3e-31 relative error = 2.7103482063075098487417948989333e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.963 y[1] (analytic) = 1.107440412848782233741302633768 y[1] (numeric) = 1.1074404128487822337413026337676 absolute error = 4e-31 relative error = 3.6119324828596338771459160636605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.964 y[1] (analytic) = 1.10801208231786297087788414011 y[1] (numeric) = 1.1080120823178629708778841401101 absolute error = 1e-31 relative error = 9.0251723420568548517586440425746e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=579.8MB, alloc=4.4MB, time=23.62 TOP MAIN SOLVE Loop x[1] = 0.965 y[1] (analytic) = 1.108583857576919087840515137022 y[1] (numeric) = 1.1085838575769190878405151370222 absolute error = 2e-31 relative error = 1.8041034842158794519739065877698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.966 y[1] (analytic) = 1.109155738612930732095605417668 y[1] (numeric) = 1.109155738612930732095605417667 absolute error = 1.0e-30 relative error = 9.0158664395548557156068581376136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.967 y[1] (analytic) = 1.109727725412885527870600054638 y[1] (numeric) = 1.109727725412885527870600054638 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.968 y[1] (analytic) = 1.110299817963778569743862745326 y[1] (numeric) = 1.1102998179637785697438627453258 absolute error = 2e-31 relative error = 1.8013152552504932635117948100862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.969 y[1] (analytic) = 1.11087201625261241624218182412 y[1] (numeric) = 1.1108720162526124162421818241205 absolute error = 5e-31 relative error = 4.5009685425931185406920005162048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.4MB, time=23.78 x[1] = 0.97 y[1] (analytic) = 1.111444320266397083445887333173 y[1] (numeric) = 1.1114443202663970834458873331737 absolute error = 7e-31 relative error = 6.2981112704972944810423330540116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.971 y[1] (analytic) = 1.112016729992150038601567565008 y[1] (numeric) = 1.1120167299921500386015675650079 absolute error = 1e-31 relative error = 8.9926704610555563458007594229512e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.972 y[1] (analytic) = 1.112589245416896193742373511776 y[1] (numeric) = 1.1125892454168961937423735117759 absolute error = 1e-31 relative error = 8.9880430187449089320403549005017e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.973 y[1] (analytic) = 1.113161866527667899315899677441 y[1] (numeric) = 1.113161866527667899315899677441 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.974 y[1] (analytic) = 1.11373459331150493781962973057 y[1] (numeric) = 1.1137345933115049378196297305701 absolute error = 1e-31 relative error = 8.9787998505700177267038394950794e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.975 y[1] (analytic) = 1.114307425755454517443935496807 y[1] (numeric) = 1.1143074257554545174439354968067 absolute error = 3e-31 relative error = 2.6922552346504588900780484795225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.4MB, time=23.93 x[1] = 0.976 y[1] (analytic) = 1.114880363846571265722617811418 y[1] (numeric) = 1.1148803638465712657226178114173 absolute error = 7e-31 relative error = 6.2787005915581208358867582305061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.977 y[1] (analytic) = 1.115453407571917223190977773585 y[1] (numeric) = 1.1154534075719172231909777735857 absolute error = 7e-31 relative error = 6.2754750243108520532689571646083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.978 y[1] (analytic) = 1.116026556918561837051406965364 y[1] (numeric) = 1.1160265569185618370514069653651 absolute error = 1.1e-30 relative error = 9.8563962764218403864068151132288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.979 y[1] (analytic) = 1.116599811873581954846485219383 y[1] (numeric) = 1.116599811873581954846485219384 absolute error = 1.0e-30 relative error = 8.9557600616291073492094344068380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (analytic) = 1.117173172424061818139574540544 y[1] (numeric) = 1.1171731724240618181395745405447 absolute error = 7e-31 relative error = 6.2658146228227786863827768156668e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.981 y[1] (analytic) = 1.117746638557093056202897808048 y[1] (numeric) = 1.1177466385570930562028978080482 absolute error = 2e-31 relative error = 1.7893142605034482332379030460054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.4MB, time=24.09 x[1] = 0.982 y[1] (analytic) = 1.118320210259774679713090905127 y[1] (numeric) = 1.118320210259774679713090905127 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) = 1.118893887519213074454216944874 y[1] (numeric) = 1.1188938875192130744542169448735 absolute error = 5e-31 relative error = 4.4686990033397090600652236683454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.984 y[1] (analytic) = 1.119467670322521995028231281506 y[1] (numeric) = 1.1194676703225219950282312815059 absolute error = 1e-31 relative error = 8.9328171461342603961098643641071e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.985 y[1] (analytic) = 1.120041558656822558572886017327 y[1] (numeric) = 1.1200415586568225585728860173269 absolute error = 1e-31 relative error = 8.9282401377965035018275314318224e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.986 y[1] (analytic) = 1.120615552509243238487062736497 y[1] (numeric) = 1.1206155525092432384870627364959 absolute error = 1.1e-30 relative error = 9.8160336748577010845530375855815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.987 y[1] (analytic) = 1.121189651866919858163522217556 y[1] (numeric) = 1.1211896518669198581635222175557 memory used=595.1MB, alloc=4.4MB, time=24.24 absolute error = 3e-31 relative error = 2.6757292978976641807966314179619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.988 y[1] (analytic) = 1.12176385671699558472905989743 y[1] (numeric) = 1.1217638567169955847290598974304 absolute error = 4e-31 relative error = 3.5658128723335581553688353644328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.989 y[1] (analytic) = 1.122338167046620922792055880341 y[1] (numeric) = 1.1223381670466209227920558803396 absolute error = 1.4e-30 relative error = 1.2473958750632466490980052315629e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (analytic) = 1.122912582842953708197408305759 y[1] (numeric) = 1.1229125828429537081974083057599 absolute error = 9e-31 relative error = 8.0148714490437817458732588405012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.991 y[1] (analytic) = 1.123487104093159101788838910203 y[1] (numeric) = 1.1234871040931591017888389102031 absolute error = 1e-31 relative error = 8.9008587313262155570237017331044e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.992 y[1] (analytic) = 1.124061730784409583178559638177 y[1] (numeric) = 1.1240617307844095831785596381765 absolute error = 5e-31 relative error = 4.4481542810916844882308609215190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.4MB, time=24.40 x[1] = 0.993 y[1] (analytic) = 1.124636462903884944524289178238 y[1] (numeric) = 1.1246364629038849445242891782379 absolute error = 1e-31 relative error = 8.8917622092559097632773985414075e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.994 y[1] (analytic) = 1.125211300438772284313608320566 y[1] (numeric) = 1.1252113004387722843136083205658 absolute error = 2e-31 relative error = 1.7774439336150524483786803896511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.995 y[1] (analytic) = 1.125786243376266001155643052924 y[1] (numeric) = 1.1257862433762660011556430529235 absolute error = 5e-31 relative error = 4.4413404670897853409613840630626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.996 y[1] (analytic) = 1.126361291703567787580064332313 y[1] (numeric) = 1.1263612917035677875800643323126 absolute error = 4e-31 relative error = 3.5512584012454747821324098844421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.997 y[1] (analytic) = 1.126936445407886623843393489982 y[1] (numeric) = 1.1269364454078866238433934899821 absolute error = 1e-31 relative error = 8.8736148704291582203769433319111e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.998 y[1] (analytic) = 1.127511704476438771742602247788 y[1] (numeric) = 1.1275117044764387717426022477883 absolute error = 3e-31 relative error = 2.6607262595052643896794737530227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.4MB, time=24.55 x[1] = 0.999 y[1] (analytic) = 1.128087068896447768435996344181 y[1] (numeric) = 1.1280870688964477684359963441807 absolute error = 3e-31 relative error = 2.6593691947331271241326344033401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = 1.128662538655144420271371788332 y[1] (numeric) = 1.1286625386551444202713717883317 absolute error = 3e-31 relative error = 2.6580132654838034857421640875574e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.001 y[1] (analytic) = 1.12923811373976679662143278112 y[1] (numeric) = 1.129238113739766796621432781119 absolute error = 1.0e-30 relative error = 8.8555282347691839244307807643664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.002 y[1] (analytic) = 1.129813794137560223726460361825 y[1] (numeric) = 1.1298137941375602237264603618246 absolute error = 4e-31 relative error = 3.5404064109992455110884840306002e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.003 y[1] (analytic) = 1.130389579835777278544220859519 y[1] (numeric) = 1.1303895798357772785442208595187 absolute error = 3e-31 relative error = 2.6539522776172788726910177472258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.004 y[1] (analytic) = 1.130965470821677782607103248162 y[1] (numeric) = 1.1309654708216777826071032481624 absolute error = 4e-31 relative error = 3.5368011696182811464843762937571e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.4MB, time=24.70 x[1] = 1.005 y[1] (analytic) = 1.131541467082528795886474524484 y[1] (numeric) = 1.1315414670825287958864745244828 absolute error = 1.2e-30 relative error = 1.0605002422880523493591530470293e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.006 y[1] (analytic) = 1.132117568605604610664242247652 y[1] (numeric) = 1.1321175686056046106642422476511 absolute error = 9e-31 relative error = 7.9497043854597461478027618190748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.007 y[1] (analytic) = 1.132693775378186745411613399729 y[1] (numeric) = 1.1326937753781867454116133997278 absolute error = 1.2e-30 relative error = 1.0594213776793651727766873236582e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.008 y[1] (analytic) = 1.133270087387563938675038745731 y[1] (numeric) = 1.1332700873875639386750387457301 absolute error = 9e-31 relative error = 7.9416196546288215998707049626038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.009 y[1] (analytic) = 1.133846504621032142969331892023 y[1] (numeric) = 1.1338465046210321429693318920229 absolute error = 1e-31 relative error = 8.8195359418092668865019018207311e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.4MB, time=24.86 x[1] = 1.01 y[1] (analytic) = 1.134423027065894518677952261542 y[1] (numeric) = 1.1344230270658945186779522615407 absolute error = 1.3e-30 relative error = 1.1459569922186423632708212615940e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.011 y[1] (analytic) = 1.134999654709461427960441224107 y[1] (numeric) = 1.1349996547094614279604412241077 absolute error = 7e-31 relative error = 6.1674027573090922131614402277034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.012 y[1] (analytic) = 1.135576387539050428667000639844 y[1] (numeric) = 1.1355763875390504286670006398435 absolute error = 5e-31 relative error = 4.4030503406606444577510367057390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.013 y[1] (analytic) = 1.136153225541986268260203093317 y[1] (numeric) = 1.1361532255419862682602030933169 absolute error = 1e-31 relative error = 8.8016297231648817013513131891385e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.014 y[1] (analytic) = 1.136730168705600877743823115745 y[1] (numeric) = 1.1367301687056008777438231157446 absolute error = 4e-31 relative error = 3.5188649955114816399463099024896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.015 y[1] (analytic) = 1.137307217017233365598778712123 y[1] (numeric) = 1.1373072170172333655987787121226 absolute error = 4e-31 relative error = 3.5170795895330970027543345596447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.4MB, time=25.01 x[1] = 1.016 y[1] (analytic) = 1.137884370464230011726172529727 y[1] (numeric) = 1.137884370464230011726172529727 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) = 1.138461629033944261397422023927 y[1] (numeric) = 1.1384616290339442613974220239271 absolute error = 1e-31 relative error = 8.7837830849737325410599302623629e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.018 y[1] (analytic) = 1.139038992713736719211467996718 y[1] (numeric) = 1.1390389927137367192114679967187 absolute error = 7e-31 relative error = 6.1455314917030588495438440804007e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.019 y[1] (analytic) = 1.139616461490975143059050902808 y[1] (numeric) = 1.1396164614909751430590509028079 absolute error = 1e-31 relative error = 8.7748820220768564731047014340113e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = 1.140194035353034438094044337456 y[1] (numeric) = 1.1401940353530344380940443374562 absolute error = 2e-31 relative error = 1.7540874079215356863155155102761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.021 y[1] (analytic) = 1.140771714287296650711835139637 y[1] (numeric) = 1.1407717142872966507118351396364 absolute error = 6e-31 relative error = 5.2595974504404088585211565166384e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=618.0MB, alloc=4.4MB, time=25.17 x[1] = 1.022 y[1] (analytic) = 1.141349498281150962534739563346 y[1] (numeric) = 1.1413494982811509625347395633459 absolute error = 1e-31 relative error = 8.7615581511708690412848606366838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.023 y[1] (analytic) = 1.14192738732199368440444498918 y[1] (numeric) = 1.1419273873219936844044449891798 absolute error = 2e-31 relative error = 1.7514248473279258171004778665896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.024 y[1] (analytic) = 1.142505381397228250381466667479 y[1] (numeric) = 1.1425053813972282503814666674795 absolute error = 5e-31 relative error = 4.3763470014340276770724313892892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.025 y[1] (analytic) = 1.143083480494265211751609003546 y[1] (numeric) = 1.1430834804942652117516090035463 absolute error = 3e-31 relative error = 2.6244802336770808039004162472332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.026 y[1] (analytic) = 1.143661684600522231039420914539 y[1] (numeric) = 1.143661684600522231039420914539 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.4MB, time=25.32 x[1] = 1.027 y[1] (analytic) = 1.144239993703424076028634806766 y[1] (numeric) = 1.1442399937034240760286348067669 absolute error = 9e-31 relative error = 7.8654828091358540921620285442944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.028 y[1] (analytic) = 1.144818407790402613789578741135 y[1] (numeric) = 1.144818407790402613789578741136 absolute error = 1.0e-30 relative error = 8.7350097901560255314650244860380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.029 y[1] (analytic) = 1.145396926848896804713551373517 y[1] (numeric) = 1.145396926848896804713551373517 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) = 1.145975550866352696554149275769 y[1] (numeric) = 1.1459755508663526965541492757688 absolute error = 2e-31 relative error = 1.7452379315492450182499319342913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.031 y[1] (analytic) = 1.146554279830223418475536262078 y[1] (numeric) = 1.1465542798302234184755362620786 absolute error = 6e-31 relative error = 5.2330710421214884936856624900927e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.032 y[1] (analytic) = 1.147133113727969175107644364164 y[1] (numeric) = 1.1471331137279691751076443641653 absolute error = 1.3e-30 relative error = 1.1332599368309069974538024457055e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.4MB, time=25.48 x[1] = 1.033 y[1] (analytic) = 1.147712052547057240608296117737 y[1] (numeric) = 1.1477120525470572406082961177375 absolute error = 5e-31 relative error = 4.3564934156644620939280583324532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.034 y[1] (analytic) = 1.148291096274961952732237841404 y[1] (numeric) = 1.1482910962749619527322378414031 absolute error = 9e-31 relative error = 7.8377338544171045234630155130831e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.035 y[1] (analytic) = 1.148870244899164706907073607991 y[1] (numeric) = 1.148870244899164706907073607991 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.036 y[1] (analytic) = 1.14944949840715395031608962697 y[1] (numeric) = 1.1494494984071539503160896269696 absolute error = 4e-31 relative error = 3.4799267001664601163858974285771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.037 y[1] (analytic) = 1.150028856786425175987958775331 y[1] (numeric) = 1.1500288567864251759879587753307 absolute error = 3e-31 relative error = 2.6086301941874991878017649293486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.038 y[1] (analytic) = 1.150608320024480916893315032951 y[1] (numeric) = 1.1506083200244809168933150329513 absolute error = 3e-31 relative error = 2.6073164497334509997976567590581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.4MB, time=25.63 x[1] = 1.039 y[1] (analytic) = 1.15118788810883074004818759705 y[1] (numeric) = 1.1511878881088307400481875970496 absolute error = 4e-31 relative error = 3.4746717206790564367143418944080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = 1.151767561026991240624284468915 y[1] (numeric) = 1.1517675610269912406242844689148 absolute error = 2e-31 relative error = 1.7364614768423146712010486217299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.041 y[1] (analytic) = 1.152347338766486036066115324615 y[1] (numeric) = 1.1523473387664860360661153246154 absolute error = 4e-31 relative error = 3.4711756303283900592655276491097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.042 y[1] (analytic) = 1.152927221314845760214943499875 y[1] (numeric) = 1.152927221314845760214943499875 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) = 1.153507208659608057439556937747 y[1] (numeric) = 1.1535072086596080574395569377481 absolute error = 1.1e-30 relative error = 9.5361345966638197055916663856197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.044 y[1] (analytic) = 1.154087300788317576773847966136 y[1] (numeric) = 1.154087300788317576773847966136 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=633.2MB, alloc=4.4MB, time=25.79 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.045 y[1] (analytic) = 1.154667497688525966061191790547 y[1] (numeric) = 1.154667497688525966061191790547 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) = 1.155247799347791866105613605834 y[1] (numeric) = 1.1552477993477918661056136058334 absolute error = 6e-31 relative error = 5.1936909149598618232990357043359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.047 y[1] (analytic) = 1.155828205753680904829734248923 y[1] (numeric) = 1.1558282057536809048297342489233 absolute error = 3e-31 relative error = 2.5955414351943332120015776097296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.048 y[1] (analytic) = 1.156408716893765691439484332816 y[1] (numeric) = 1.156408716893765691439484332816 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) = 1.156989332755625810595576820317 y[1] (numeric) = 1.1569893327556258105955768203171 absolute error = 1e-31 relative error = 8.6431220382843027836534361041485e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.4MB, time=25.95 x[1] = 1.05 y[1] (analytic) = 1.157570053326847816591728014162 y[1] (numeric) = 1.1575700533268478165917280141618 absolute error = 2e-31 relative error = 1.7277572050624622801335615756900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.051 y[1] (analytic) = 1.158150878595025227539616958305 y[1] (numeric) = 1.1581508785950252275396169583045 absolute error = 5e-31 relative error = 4.3172267900582994221115897253242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.052 y[1] (analytic) = 1.158731808547758519560573263248 y[1] (numeric) = 1.1587318085477585195605732632479 absolute error = 1e-31 relative error = 8.6301246985987422479321586091122e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.053 y[1] (analytic) = 1.159312843172655120983983386338 y[1] (numeric) = 1.1593128431726551209839833863376 absolute error = 4e-31 relative error = 3.4503197506665460325752986612522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.054 y[1] (analytic) = 1.159893982457329406552405415966 y[1] (numeric) = 1.1598939824573294065524054159652 absolute error = 8e-31 relative error = 6.8971820881865010044735167338663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.055 y[1] (analytic) = 1.160475226389402691633382426598 y[1] (numeric) = 1.1604752263894026916333824265989 absolute error = 9e-31 relative error = 7.7554434556968383257335906974843e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.4MB, time=26.10 x[1] = 1.056 y[1] (analytic) = 1.161056574956503226437944489501 y[1] (numeric) = 1.1610565749565032264379444895014 absolute error = 4e-31 relative error = 3.4451378910195245074390399383806e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.057 y[1] (analytic) = 1.161638028146266190245789441895 y[1] (numeric) = 1.1616380281462661902457894418947 absolute error = 3e-31 relative error = 2.5825600809465397218203776299320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.058 y[1] (analytic) = 1.162219585946333685637132535193 y[1] (numeric) = 1.1622195859463336856371325351937 absolute error = 7e-31 relative error = 6.0229582125827553975078858113360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.059 y[1] (analytic) = 1.162801248344354732731215100756 y[1] (numeric) = 1.1628012483443547327312151007563 absolute error = 3e-31 relative error = 2.5799765903859546345833066845459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = 1.163383015327985263431462389384 y[1] (numeric) = 1.1633830153279852634314623893839 absolute error = 1e-31 relative error = 8.5956214490382282525244433286654e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.061 y[1] (analytic) = 1.163964886884888115677280758556 y[1] (numeric) = 1.1639648868848881156772807585543 absolute error = 1.7e-30 relative error = 1.4605251577216382155401518513050e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=644.7MB, alloc=4.4MB, time=26.26 x[1] = 1.062 y[1] (analytic) = 1.164546863002733027702484399083 y[1] (numeric) = 1.1645468630027330277024843990817 absolute error = 1.3e-30 relative error = 1.1163140284865883347757334480526e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.063 y[1] (analytic) = 1.165128943669196632300341810569 y[1] (numeric) = 1.1651289436691966323003418105693 absolute error = 3e-31 relative error = 2.5748223115567540925248809045195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.064 y[1] (analytic) = 1.165711128871962451095232252658 y[1] (numeric) = 1.165711128871962451095232252659 absolute error = 1.0e-30 relative error = 8.5784546036519518386123401299807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.065 y[1] (analytic) = 1.166293418598720888820902416679 y[1] (numeric) = 1.1662934185987208888209024166784 absolute error = 6e-31 relative error = 5.1445030078356136162356834169477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.066 y[1] (analytic) = 1.166875812837169227605313579847 y[1] (numeric) = 1.1668758128371692276053135798471 absolute error = 1e-31 relative error = 8.5698922627299690001197820509622e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.4MB, time=26.41 x[1] = 1.067 y[1] (analytic) = 1.167458311575011621262069521727 y[1] (numeric) = 1.1674583115750116212620695217278 absolute error = 8e-31 relative error = 6.8524930789239435591296524630430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.068 y[1] (analytic) = 1.168040914799959089588415500095 y[1] (numeric) = 1.1680409147999590895884155000947 absolute error = 3e-31 relative error = 2.5684031800493784162013592149949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.069 y[1] (analytic) = 1.168623622499729512669798600839 y[1] (numeric) = 1.1686236224997295126697986008399 absolute error = 9e-31 relative error = 7.7013675119356772392620390261054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = 1.16920643466204762519097979395 y[1] (numeric) = 1.1692064346620476251909797939509 absolute error = 9e-31 relative error = 7.6975286255599491967972260647909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.071 y[1] (analytic) = 1.169789351274645010753688044968 y[1] (numeric) = 1.1697893512746450107536880449678 absolute error = 2e-31 relative error = 1.7097095283186902666625748729900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.072 y[1] (analytic) = 1.170372372325260096200806848668 y[1] (numeric) = 1.1703723723252600962008068486677 absolute error = 3e-31 relative error = 2.5632867546588540827153147616941e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.4MB, time=26.57 x[1] = 1.073 y[1] (analytic) = 1.170955497801638145947083569024 y[1] (numeric) = 1.1709554978016381459470835690243 absolute error = 3e-31 relative error = 2.5620102605369936145794616082717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.074 y[1] (analytic) = 1.171538727691531256316351986756 y[1] (numeric) = 1.1715387276915312563163519867559 absolute error = 1e-31 relative error = 8.5357826964069617720032188267019e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.075 y[1] (analytic) = 1.172122061982698349885258473004 y[1] (numeric) = 1.1721220619826983498852584730041 absolute error = 1e-31 relative error = 8.5315346620850564859218435496836e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.076 y[1] (analytic) = 1.172705500662905169833482224877 y[1] (numeric) = 1.1727055006629051698334822248768 absolute error = 2e-31 relative error = 1.7054580189735982838730036475506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.077 y[1] (analytic) = 1.173289043719924274300440015744 y[1] (numeric) = 1.173289043719924274300440015744 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.078 y[1] (analytic) = 1.173872691141535030748465930297 y[1] (numeric) = 1.1738726911415350307484659302954 absolute error = 1.6e-30 relative error = 1.3630098153523586518750039208336e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.4MB, time=26.73 x[1] = 1.079 y[1] (analytic) = 1.17445644291552361033245657145 y[1] (numeric) = 1.17445644291552361033245657145 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = 1.175040299029682982275972243257 y[1] (numeric) = 1.1750402990296829822759722432562 absolute error = 8e-31 relative error = 6.8082771345001419653324802211930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.081 y[1] (analytic) = 1.175624259471812908253784630931 y[1] (numeric) = 1.1756242594718129082537846309307 absolute error = 3e-31 relative error = 2.5518357381871710415087372670489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.082 y[1] (analytic) = 1.176208324229719936780861516159 y[1] (numeric) = 1.1762083242297199367808615161586 absolute error = 4e-31 relative error = 3.4007581119777707520368343643948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.083 y[1] (analytic) = 1.176792493291217397607779082719 y[1] (numeric) = 1.1767924932912173976077790827184 absolute error = 6e-31 relative error = 5.0986049233024785643373764497782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.4MB, time=26.88 x[1] = 1.084 y[1] (analytic) = 1.177376766644125396122552384395 y[1] (numeric) = 1.1773767666441253961225523843951 absolute error = 1e-31 relative error = 8.4934579000594513733371768805531e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.085 y[1] (analytic) = 1.177961144276270807758874564015 y[1] (numeric) = 1.177961144276270807758874564015 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.086 y[1] (analytic) = 1.178545626175487272410755429267 y[1] (numeric) = 1.1785456261754872724107554292663 absolute error = 7e-31 relative error = 5.9395239730478530820592422426773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.087 y[1] (analytic) = 1.179130212329615188853550007765 y[1] (numeric) = 1.1791302123296151888535500077649 absolute error = 1e-31 relative error = 8.4808275586823742776005791476025e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.088 y[1] (analytic) = 1.179714902726501709171367720588 y[1] (numeric) = 1.1797149027265017091713677205876 absolute error = 4e-31 relative error = 3.3906497160927506754993961401868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.089 y[1] (analytic) = 1.180299697354000733190852830219 y[1] (numeric) = 1.1802996973540007331908528302182 absolute error = 8e-31 relative error = 6.7779395503823504155668427460273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.4MB, time=27.04 x[1] = 1.09 y[1] (analytic) = 1.180884596199972902921326835543 y[1] (numeric) = 1.1808845961999729029213268355439 absolute error = 9e-31 relative error = 7.6214051982399857455404216521258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.091 y[1] (analytic) = 1.181469599252285597001283503193 y[1] (numeric) = 1.1814695992522855970012835031927 absolute error = 3e-31 relative error = 2.5392104899682600852317283439254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.092 y[1] (analytic) = 1.182054706498812925151227241124 y[1] (numeric) = 1.1820547064988129251512272411236 absolute error = 4e-31 relative error = 3.3839381358649638673477827513406e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.093 y[1] (analytic) = 1.182639917927435722632845536966 y[1] (numeric) = 1.1826399179274357226328455369654 absolute error = 6e-31 relative error = 5.0733954680939048735373657192097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.094 y[1] (analytic) = 1.183225233526041544714506200149 y[1] (numeric) = 1.1832252335260415447145062001505 absolute error = 1.5e-30 relative error = 1.2677214426284347623036500342405e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.095 y[1] (analytic) = 1.183810653282524661143070163404 y[1] (numeric) = 1.1838106532825246611430701634044 absolute error = 4e-31 relative error = 3.3789187391654365592090301598690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.4MB, time=27.19 x[1] = 1.096 y[1] (analytic) = 1.184396177184786050622010615632 y[1] (numeric) = 1.1843961771847860506220106156321 absolute error = 1e-31 relative error = 8.4431208008195293695987771140532e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.097 y[1] (analytic) = 1.184981805220733395295829254688 y[1] (numeric) = 1.1849818052207333952958292546886 absolute error = 6e-31 relative error = 5.0633688834423456778077019577316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.098 y[1] (analytic) = 1.185567537378281075240760464932 y[1] (numeric) = 1.185567537378281075240760464931 absolute error = 1.0e-30 relative error = 8.4347788588355070520640190779138e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.099 y[1] (analytic) = 1.186153373645350162961754240829 y[1] (numeric) = 1.186153373645350162961754240827 absolute error = 2.0e-30 relative error = 1.6861225912577331691812560927704e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 1.186739314009868417895728694237 y[1] (numeric) = 1.186739314009868417895728694236 absolute error = 1.0e-30 relative error = 8.4264504276099546709739349002302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.101 y[1] (analytic) = 1.187325358459770280921082999287 y[1] (numeric) = 1.1873253584597702809210829992866 absolute error = 4e-31 relative error = 3.3689165075939297094536282025757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=671.4MB, alloc=4.4MB, time=27.35 TOP MAIN SOLVE Loop x[1] = 1.102 y[1] (analytic) = 1.187911506982996868873461645049 y[1] (numeric) = 1.1879115069829968688734616450489 absolute error = 1e-31 relative error = 8.4181354766042641435155882814047e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.103 y[1] (analytic) = 1.188497759567495969067760882438 y[1] (numeric) = 1.1884977595674959690677608824377 absolute error = 3e-31 relative error = 2.5241949139994378072394629574622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.104 y[1] (analytic) = 1.189084116201222033826368267989 y[1] (numeric) = 1.1890841162012220338263682679893 absolute error = 3e-31 relative error = 2.5229501926105342332234810068597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.105 y[1] (analytic) = 1.189670576872136175013626223325 y[1] (numeric) = 1.1896705768721361750136262233245 absolute error = 5e-31 relative error = 4.2028441294613876343807898680438e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.106 y[1] (analytic) = 1.190257141568206158576510545249 y[1] (numeric) = 1.1902571415682061585765105452492 absolute error = 2e-31 relative error = 1.6803091787081645211867562938491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.4MB, time=27.50 x[1] = 1.107 y[1] (analytic) = 1.190843810277406399091514817546 y[1] (numeric) = 1.1908438102774063990915148175457 absolute error = 3e-31 relative error = 2.5192220626323377194976262964852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.108 y[1] (analytic) = 1.19143058298771795431773169158 y[1] (numeric) = 1.1914305829877179543177316915787 absolute error = 1.3e-30 relative error = 1.0911252561102011347652490116219e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.109 y[1] (analytic) = 1.192017459687128519756122018875 y[1] (numeric) = 1.1920174596871285197561220188754 absolute error = 4e-31 relative error = 3.3556555463960141305224674369480e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = 1.192604440363632423214962834842 y[1] (numeric) = 1.1926044403636324232149628348417 absolute error = 3e-31 relative error = 2.5155029601309228422822075710801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.111 y[1] (analytic) = 1.193191525005230619381465208745 y[1] (numeric) = 1.1931915250052306193814652087449 absolute error = 1e-31 relative error = 8.3808842004272220963582772874639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.112 y[1] (analytic) = 1.19377871359993068439955299103 y[1] (numeric) = 1.1937787135999306843995529910297 absolute error = 3e-31 relative error = 2.5130285586624939733583503664467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.4MB, time=27.65 x[1] = 1.113 y[1] (analytic) = 1.194366006135746810453793504935 y[1] (numeric) = 1.1943660061357468104537935049345 absolute error = 5e-31 relative error = 4.1863214243488107272120964438663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.114 y[1] (analytic) = 1.194953402600699800359471245246 y[1] (numeric) = 1.1949534026006998003594712452461 absolute error = 1e-31 relative error = 8.3685271561518408129497718910485e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.115 y[1] (analytic) = 1.195540902982817062158795662865 y[1] (numeric) = 1.1955409029828170621587956628647 absolute error = 3e-31 relative error = 2.5093244342499234137680788941133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.116 y[1] (analytic) = 1.196128507270132603723234129654 y[1] (numeric) = 1.1961285072701326037232341296541 absolute error = 1e-31 relative error = 8.3603057190088429588794143179559e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.117 y[1] (analytic) = 1.196716215450687027361961193821 y[1] (numeric) = 1.1967162154506870273619611938215 absolute error = 5e-31 relative error = 4.1780999834760194491274053730074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.118 y[1] (analytic) = 1.197304027512527524436415251808 y[1] (numeric) = 1.1973040275125275244364152518077 absolute error = 3e-31 relative error = 2.5056292562822859695620014014557e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.4MB, time=27.81 x[1] = 1.119 y[1] (analytic) = 1.197891943443707869980953778372 y[1] (numeric) = 1.1978919434437078699809537783718 absolute error = 2e-31 relative error = 1.6695996754518495699443635920742e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = 1.198479963232288417329598272226 y[1] (numeric) = 1.1984799632322884173295982722262 absolute error = 2e-31 relative error = 1.6687805064391899368690197210711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.121 y[1] (analytic) = 1.199068086866336092748860090215 y[1] (numeric) = 1.1990680868663360927488600902141 absolute error = 9e-31 relative error = 7.5058289838408971259186113174396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.122 y[1] (analytic) = 1.199656314333924390076638358628 y[1] (numeric) = 1.1996563143339243900766383586286 absolute error = 6e-31 relative error = 5.0014324338644707245814484981747e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.123 y[1] (analytic) = 1.200244645623133365367181165845 y[1] (numeric) = 1.2002446456231333653671811658448 absolute error = 2e-31 relative error = 1.6663269503374089868438601368164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.4MB, time=27.96 x[1] = 1.124 y[1] (analytic) = 1.200833080722049631542101255976 y[1] (numeric) = 1.2008330807220496315421012559765 absolute error = 5e-31 relative error = 4.1637760320473075660410764007442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.125 y[1] (analytic) = 1.201421619618766353047437458778 y[1] (numeric) = 1.2014216196187663530474374587774 absolute error = 6e-31 relative error = 4.9940835939875234655106541270924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.126 y[1] (analytic) = 1.202010262301383240516753106482 y[1] (numeric) = 1.2020102623013832405167531064817 absolute error = 3e-31 relative error = 2.4958189576985508255050701133675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.127 y[1] (analytic) = 1.202599008758006545440262703723 y[1] (numeric) = 1.2025990087580065454402627037231 absolute error = 1e-31 relative error = 8.3153236674688245149494589921034e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.128 y[1] (analytic) = 1.203187858976749054839978132082 y[1] (numeric) = 1.2031878589767490548399781320823 absolute error = 3e-31 relative error = 2.4933762235195338301999564211207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.129 y[1] (analytic) = 1.203776812945730085950865686191 y[1] (numeric) = 1.2037768129457300859508656861914 absolute error = 4e-31 relative error = 3.3228751019150359279905297720040e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.4MB, time=28.12 x[1] = 1.13 y[1] (analytic) = 1.204365870653075480908005253671 y[1] (numeric) = 1.2043658706530754809080052536719 absolute error = 9e-31 relative error = 7.4728122236805743783528079904678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.131 y[1] (analytic) = 1.204955032086917601439742966497 y[1] (numeric) = 1.2049550320869176014397429664969 absolute error = 1e-31 relative error = 8.2990648893183469319937769642888e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.132 y[1] (analytic) = 1.205544297235395323566828666652 y[1] (numeric) = 1.2055442972353953235668286666522 absolute error = 2e-31 relative error = 1.6590016680320115732385204572153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.133 y[1] (analytic) = 1.206133666086654032307529544223 y[1] (numeric) = 1.2061336660866540323075295442223 absolute error = 7e-31 relative error = 5.8036685293030272813557158420505e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.134 y[1] (analytic) = 1.206723138628845616388711321247 y[1] (numeric) = 1.2067231386288456163887113212473 absolute error = 3e-31 relative error = 2.4860714972357187344611917260014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.135 y[1] (analytic) = 1.207312714850128462962878369884 y[1] (numeric) = 1.2073127148501284629628783698836 absolute error = 4e-31 relative error = 3.3131432733204883664268722326680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.4MB, time=28.27 x[1] = 1.136 y[1] (analytic) = 1.20790239473866745233116416856 y[1] (numeric) = 1.2079023947386674523311641685598 absolute error = 2e-31 relative error = 1.6557629231563074622797123269297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.137 y[1] (analytic) = 1.208492178282633952672263514943 y[1] (numeric) = 1.2084921782826339526722635149425 absolute error = 5e-31 relative error = 4.1373871423027397685279646516909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.138 y[1] (analytic) = 1.209082065470205814777297929623 y[1] (numeric) = 1.2090820654702058147772979296219 absolute error = 1.1e-30 relative error = 9.0978109047727512282894895503236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.139 y[1] (analytic) = 1.209672056289567366790605699488 y[1] (numeric) = 1.2096720562895673667906056994881 absolute error = 1e-31 relative error = 8.2667033168254260215032157003608e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 1.210262150728909408956448024801 y[1] (numeric) = 1.2102621507289094089564480248005 absolute error = 5e-31 relative error = 4.1313363365024925159889292669441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.141 y[1] (analytic) = 1.210852348776429208371622748954 y[1] (numeric) = 1.2108523487764292083716227489535 absolute error = 5e-31 relative error = 4.1293226255476306040371343264777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=698.1MB, alloc=4.4MB, time=28.43 TOP MAIN SOLVE Loop x[1] = 1.142 y[1] (analytic) = 1.21144265042033049374397716491 y[1] (numeric) = 1.2114426504203304937439771649091 absolute error = 9e-31 relative error = 7.4291589427508582048775056637449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.143 y[1] (analytic) = 1.212033055648823450156811407206 y[1] (numeric) = 1.2120330556488234501568114072054 absolute error = 6e-31 relative error = 4.9503600351791480822745967517403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.144 y[1] (analytic) = 1.212623564450124713839163953356 y[1] (numeric) = 1.212623564450124713839163953357 absolute error = 1.0e-30 relative error = 8.2465822809031356664757638577518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.145 y[1] (analytic) = 1.213214176812457366941970773338 y[1] (numeric) = 1.2132141768124573669419707733384 absolute error = 4e-31 relative error = 3.2970270842938996917541912519332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.146 y[1] (analytic) = 1.213804892724050932320089680689 y[1] (numeric) = 1.2138048927240509323200896806881 absolute error = 9e-31 relative error = 7.4147007100968077478962536239403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.4MB, time=28.58 x[1] = 1.147 y[1] (analytic) = 1.214395712173141368320181453583 y[1] (numeric) = 1.2143957121731413683201814535829 absolute error = 1e-31 relative error = 8.2345481787852846608426246074143e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.148 y[1] (analytic) = 1.21498663514797106357443930902 y[1] (numeric) = 1.2149866351479710635744393090187 absolute error = 1.3e-30 relative error = 1.0699706172831072415600845415551e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.149 y[1] (analytic) = 1.215577661636788831800158327984 y[1] (numeric) = 1.2155776616367888318001583279844 absolute error = 4e-31 relative error = 3.2906165736987594379065570667295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = 1.216168791627849906605136444239 y[1] (numeric) = 1.2161687916278499066051364442395 absolute error = 5e-31 relative error = 4.1112714241807399087416280774763e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.151 y[1] (analytic) = 1.216760025109415936298898623998 y[1] (numeric) = 1.2167600251094159362988986239983 absolute error = 3e-31 relative error = 2.4655642345993639795704442608313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.152 y[1] (analytic) = 1.217351362069754978709735878485 y[1] (numeric) = 1.2173513620697549787097358784838 absolute error = 1.2e-30 relative error = 9.8574662779343016413783364339427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.4MB, time=28.74 x[1] = 1.153 y[1] (analytic) = 1.217942802497141496007550765948 y[1] (numeric) = 1.2179428024971414960075507659481 absolute error = 1e-31 relative error = 8.2105661936644762398395622657826e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.154 y[1] (analytic) = 1.218534346379856349532501054355 y[1] (numeric) = 1.2185343463798563495325010543549 absolute error = 1e-31 relative error = 8.2065803312881575134622076060377e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.155 y[1] (analytic) = 1.219125993706186794629433230493 y[1] (numeric) = 1.2191259937061867946294332304928 absolute error = 2e-31 relative error = 1.6405195281907887045272414252450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.156 y[1] (analytic) = 1.219717744464426475488097555828 y[1] (numeric) = 1.2197177444644264754880975558269 absolute error = 1.1e-30 relative error = 9.0184799310516377560885486489510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.157 y[1] (analytic) = 1.220309598642875419989136383909 y[1] (numeric) = 1.2203095986428754199891363839098 absolute error = 8e-31 relative error = 6.5557134098567443934091978369752e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.158 y[1] (analytic) = 1.220901556229840034555837468651 y[1] (numeric) = 1.2209015562298400345558374686515 absolute error = 5e-31 relative error = 4.0953342834946212704834085467884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.4MB, time=28.90 x[1] = 1.159 y[1] (analytic) = 1.2214936172136330990116440072 y[1] (numeric) = 1.2214936172136330990116440072003 absolute error = 3e-31 relative error = 2.4560095588901591998512051958970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = 1.222085781582573761443413175608 y[1] (numeric) = 1.2220857815825737614434131756075 absolute error = 5e-31 relative error = 4.0913658233754358875362326858353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.161 y[1] (analytic) = 1.22267804932498753307041492984 y[1] (numeric) = 1.222678049324987533070414929841 absolute error = 1.0e-30 relative error = 8.1787679148413356293110753953709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.162 y[1] (analytic) = 1.223270420429206283119062859074 y[1] (numeric) = 1.2232704204292062831190628590736 absolute error = 4e-31 relative error = 3.2699229321645237953190082239469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.163 y[1] (analytic) = 1.223862894883568233703368892505 y[1] (numeric) = 1.2238628948835682337033688925052 absolute error = 2e-31 relative error = 1.6341699779943645541821991862077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.4MB, time=29.05 x[1] = 1.164 y[1] (analytic) = 1.224455472676417954711113675281 y[1] (numeric) = 1.2244554726764179547111136752806 absolute error = 4e-31 relative error = 3.2667582360155486940064709717311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.165 y[1] (analytic) = 1.225048153796106358695724443337 y[1] (numeric) = 1.2250481537961063586957244433375 absolute error = 5e-31 relative error = 4.0814722135667054207130680631116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.166 y[1] (analytic) = 1.225640938230990695773852241264 y[1] (numeric) = 1.2256409382309906957738522412638 absolute error = 2e-31 relative error = 1.6317992795562688271204161118181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.167 y[1] (analytic) = 1.226233825969434548528640341458 y[1] (numeric) = 1.2262338259694345485286403414581 absolute error = 1e-31 relative error = 8.1550514985135166470479128306519e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.168 y[1] (analytic) = 1.226826816999807826918675737072 y[1] (numeric) = 1.2268268169998078269186757370716 absolute error = 4e-31 relative error = 3.2604438903462823225430788022245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.169 y[1] (analytic) = 1.227419911310486763192615595368 y[1] (numeric) = 1.2274199113104867631926155953677 absolute error = 3e-31 relative error = 2.4441513229135838639622752177407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.4MB, time=29.21 x[1] = 1.17 y[1] (analytic) = 1.228013108889853906809480572261 y[1] (numeric) = 1.2280131088898539068094805722607 absolute error = 3e-31 relative error = 2.4429706639793563265751549114054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.171 y[1] (analytic) = 1.228606409726298119364606902894 y[1] (numeric) = 1.228606409726298119364606902895 absolute error = 1.0e-30 relative error = 8.1393031330739537445388131622411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.172 y[1] (analytic) = 1.229199813808214569521249197193 y[1] (numeric) = 1.2291998138082145695212491971933 absolute error = 3e-31 relative error = 2.4406121497086997214299548997726e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.173 y[1] (analytic) = 1.229793321124004727947825883346 y[1] (numeric) = 1.2297933211240047279478258833453 absolute error = 7e-31 relative error = 5.6920133487163111965031077359106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.174 y[1] (analytic) = 1.230386931662076362260799256216 y[1] (numeric) = 1.2303869316620763622607992562162 absolute error = 2e-31 relative error = 1.6255049111244108473106711379906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.175 y[1] (analytic) = 1.230980645410843531973182101641 y[1] (numeric) = 1.2309806454108435319731821016414 absolute error = 4e-31 relative error = 3.2494418290914621504830131100455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=721.0MB, alloc=4.4MB, time=29.36 x[1] = 1.176 y[1] (analytic) = 1.231574462358726583448662881523 y[1] (numeric) = 1.2315744623587265834486628815226 absolute error = 4e-31 relative error = 3.2478750755672139543550437481332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.177 y[1] (analytic) = 1.232168382494152144861341478571 y[1] (numeric) = 1.2321683824941521448613414785714 absolute error = 4e-31 relative error = 3.2463095603079913861074286839204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.178 y[1] (analytic) = 1.232762405805553121161067513439 y[1] (numeric) = 1.2327624058055531211610675134381 absolute error = 9e-31 relative error = 7.3006768843822074126258374903158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.179 y[1] (analytic) = 1.233356532281368689044373260835 y[1] (numeric) = 1.2333565322813686890443732608355 absolute error = 5e-31 relative error = 4.0539777989024649535060958211827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = 1.233950761910044291930993205106 y[1] (numeric) = 1.2339507619100442919309932051056 absolute error = 4e-31 relative error = 3.2416204304686853146201705538356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.4MB, time=29.52 x[1] = 1.181 y[1] (analytic) = 1.234545094680031634945962289489 y[1] (numeric) = 1.2345450946800316349459622894892 absolute error = 2e-31 relative error = 1.6200299273137190077136730442389e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.182 y[1] (analytic) = 1.235139530579788679907284927141 y[1] (numeric) = 1.2351395305797886799072849271406 absolute error = 4e-31 relative error = 3.2385005102398059143075068257659e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.183 y[1] (analytic) = 1.235734069597779640319166855686 y[1] (numeric) = 1.2357340695977796403191668556868 absolute error = 8e-31 relative error = 6.4738847918985743182833181840515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.184 y[1] (analytic) = 1.236328711722474976370801930855 y[1] (numeric) = 1.236328711722474976370801930855 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.185 y[1] (analytic) = 1.236923456942351389940705968392 y[1] (numeric) = 1.2369234569423513899407059683925 absolute error = 5e-31 relative error = 4.0422873153039673053816045098116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.186 y[1] (analytic) = 1.237518305245891819606589757173 y[1] (numeric) = 1.2375183052458918196065897571738 absolute error = 8e-31 relative error = 6.4645508402483144125710796924254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.4MB, time=29.67 x[1] = 1.187 y[1] (analytic) = 1.238113256621585435660763380032 y[1] (numeric) = 1.2381132566215854356607633800319 absolute error = 1e-31 relative error = 8.0768055317385078662036843249194e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.188 y[1] (analytic) = 1.238708311057927635131063992465 y[1] (numeric) = 1.2387083110579276351310639924655 absolute error = 5e-31 relative error = 4.0364627857624645068892525023238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.189 y[1] (analytic) = 1.239303468543420036807299222962 y[1] (numeric) = 1.2393034685434200368072992229624 absolute error = 4e-31 relative error = 3.2276194665228249895466369840078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = 1.239898729066570476273198372237 y[1] (numeric) = 1.2398987290665704762731983722369 absolute error = 1e-31 relative error = 8.0651748127270622208131612491031e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.191 y[1] (analytic) = 1.240494092615893000943863602212 y[1] (numeric) = 1.2404940926158930009438636022119 absolute error = 1e-31 relative error = 8.0613040074318219996343371655482e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.192 y[1] (analytic) = 1.241089559179907865108713319079 y[1] (numeric) = 1.2410895591799078651087133190795 absolute error = 5e-31 relative error = 4.0287181235364835772256864753548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.4MB, time=29.83 x[1] = 1.193 y[1] (analytic) = 1.241685128747141524979909968252 y[1] (numeric) = 1.2416851287471415249799099682517 absolute error = 3e-31 relative error = 2.4160714584920539420697737225748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.194 y[1] (analytic) = 1.24228080130612663374626447246 y[1] (numeric) = 1.2422808013061266337462644724599 absolute error = 1e-31 relative error = 8.0497098477945240511372174086810e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.195 y[1] (analytic) = 1.242876576845402036632609557685 y[1] (numeric) = 1.2428765768454020366326095576851 absolute error = 1e-31 relative error = 8.0458512022017711654223762631452e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.196 y[1] (analytic) = 1.243472455353512765964634224994 y[1] (numeric) = 1.2434724553535127659646342249938 absolute error = 2e-31 relative error = 1.6083991176398116347081231313722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.197 y[1] (analytic) = 1.244068436819010036239171639722 y[1] (numeric) = 1.244068436819010036239171639722 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.198 y[1] (analytic) = 1.24466452123045123919993272279 y[1] (numeric) = 1.2446645212304512391999327227893 absolute error = 7e-31 relative error = 5.6240054091683561246059070860674e-29 % Correct digits = 30 h = 0.001 memory used=736.2MB, alloc=4.4MB, time=29.99 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.199 y[1] (analytic) = 1.245260708576399938918677742236 y[1] (numeric) = 1.2452607085763999389186777422367 absolute error = 7e-31 relative error = 5.6213128317543249964440600177834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 1.245856998845425866881818216369 y[1] (numeric) = 1.2458569988454258668818182163687 absolute error = 3e-31 relative error = 2.4079810144986082611244874444158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.201 y[1] (analytic) = 1.246453392026104917082441453137 y[1] (numeric) = 1.2464533920261049170824414531368 absolute error = 2e-31 relative error = 1.6045525751660943677474233223350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.202 y[1] (analytic) = 1.247049888107019141117750063634 y[1] (numeric) = 1.2470498881070191411177500636337 absolute error = 3e-31 relative error = 2.4056776145130021036404765623502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.203 y[1] (analytic) = 1.247646487076756743291908800773 y[1] (numeric) = 1.2476464870767567432919088007723 absolute error = 7e-31 relative error = 5.6105636272026399798165634189538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.4MB, time=30.15 x[1] = 1.204 y[1] (analytic) = 1.2482431889239120757242910874 y[1] (numeric) = 1.2482431889239120757242910873996 absolute error = 4e-31 relative error = 3.2045037661678152684888399164240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.205 y[1] (analytic) = 1.248839993637085633463117611249 y[1] (numeric) = 1.2488399936370856334631176112483 absolute error = 7e-31 relative error = 5.6052016556687951556574870184898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.206 y[1] (analytic) = 1.249436901204884049604479377251 y[1] (numeric) = 1.2494369012048840496044793772509 absolute error = 1e-31 relative error = 8.0036054564712979472355545405766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.207 y[1] (analytic) = 1.25003391161592009041673762084 y[1] (numeric) = 1.2500339116159200904167376208404 absolute error = 4e-31 relative error = 3.1999131886183759534348014163491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.208 y[1] (analytic) = 1.25063102485881265047029299893 y[1] (numeric) = 1.2506310248588126504702929989305 absolute error = 5e-31 relative error = 3.9979817393099331157575732326356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.209 y[1] (analytic) = 1.251228240922186747772716488314 y[1] (numeric) = 1.2512282409221867477727164883134 absolute error = 6e-31 relative error = 4.7952881846543431471469008142041e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.4MB, time=30.30 x[1] = 1.21 y[1] (analytic) = 1.251825559794673518909234434231 y[1] (numeric) = 1.2518255597946735189092344342319 absolute error = 9e-31 relative error = 7.1895001101241252482601954185376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.211 y[1] (analytic) = 1.252422981464910214188560204871 y[1] (numeric) = 1.2524229814649102141885602048708 absolute error = 2e-31 relative error = 1.5969045838337126040736353091069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.212 y[1] (analytic) = 1.253020505921540192794064920482 y[1] (numeric) = 1.2530205059215401927940649204814 absolute error = 6e-31 relative error = 4.7884292169562460721466067897099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.213 y[1] (analytic) = 1.253618133153212917940279738788 y[1] (numeric) = 1.2536181331532129179402797387879 absolute error = 1e-31 relative error = 7.9769107797181442199912013413258e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.214 y[1] (analytic) = 1.25421586314858395203472219124 y[1] (numeric) = 1.2542158631485839520347221912396 absolute error = 4e-31 relative error = 3.1892436681181806833751446360543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.215 y[1] (analytic) = 1.254813695896314951845039077558 y[1] (numeric) = 1.2548136958963149518450390775573 absolute error = 7e-31 relative error = 5.5785173710587303330258761082863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=747.7MB, alloc=4.4MB, time=30.46 TOP MAIN SOLVE Loop x[1] = 1.216 y[1] (analytic) = 1.255411631385073663671458438884 y[1] (numeric) = 1.2554116313850736636714584388831 absolute error = 9e-31 relative error = 7.1689633702616389176076260843572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.217 y[1] (analytic) = 1.256009669603533918524543142678 y[1] (numeric) = 1.2560096696035339185245431426766 absolute error = 1.4e-30 relative error = 1.1146411002089795926900357181725e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.218 y[1] (analytic) = 1.256607810540375627308238625309 y[1] (numeric) = 1.2566078105403756273082386253089 absolute error = 1e-31 relative error = 7.9579323923664992113954797351786e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.219 y[1] (analytic) = 1.257206054184284776008207351087 y[1] (numeric) = 1.2572060541842847760082073510875 absolute error = 5e-31 relative error = 3.9770727983362749780317754978330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 1.257804400523953420885442559201 y[1] (numeric) = 1.2578044005239534208854425592014 absolute error = 4e-31 relative error = 3.1801447016195461748072464841356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.4MB, time=30.62 x[1] = 1.221 y[1] (analytic) = 1.258402849548079683675153882807 y[1] (numeric) = 1.2584028495480796836751538828064 absolute error = 6e-31 relative error = 4.7679485167684837982674578809181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.222 y[1] (analytic) = 1.259001401245367746790917437177 y[1] (numeric) = 1.2590014012453677467909174371756 absolute error = 1.4e-30 relative error = 1.1119924081221518262396765419751e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.223 y[1] (analytic) = 1.259600055604527848534082986518 y[1] (numeric) = 1.2596000556045278485340829865177 absolute error = 3e-31 relative error = 2.3817083737426408424424463084181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.224 y[1] (analytic) = 1.260198812614276278308430811722 y[1] (numeric) = 1.2601988126142762783084308117214 absolute error = 6e-31 relative error = 4.7611535100188114932221681257479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.225 y[1] (analytic) = 1.260797672263335371840070913909 y[1] (numeric) = 1.2607976722633353718400709139091 absolute error = 1e-31 relative error = 7.9314867246291671405665413793702e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.226 y[1] (analytic) = 1.261396634540433506402577201289 y[1] (numeric) = 1.2613966345404335064025772012881 absolute error = 9e-31 relative error = 7.1349484797690008542362268646275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.4MB, time=30.77 x[1] = 1.227 y[1] (analytic) = 1.261995699434305096047349319362 y[1] (numeric) = 1.2619956994343050960473493193626 absolute error = 6e-31 relative error = 4.7543743633116383429900133450736e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.228 y[1] (analytic) = 1.262594866933690586839194797123 y[1] (numeric) = 1.2625948669336905868391947971218 absolute error = 1.2e-30 relative error = 9.5042363265288170487657564956396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.229 y[1] (analytic) = 1.263194137027336452097124194346 y[1] (numeric) = 1.2631941370273364520971241943455 absolute error = 5e-31 relative error = 3.9582197648308086748258968564512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = 1.26379350970399518764035194767 y[1] (numeric) = 1.2637935097039951876403519476695 absolute error = 5e-31 relative error = 3.9563425208372026103464585154033e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.231 y[1] (analytic) = 1.264392984952425307039495625529 y[1] (numeric) = 1.2643929849524253070394956255284 absolute error = 6e-31 relative error = 4.7453600829854011321765313475757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.232 y[1] (analytic) = 1.264992562761391336872966314543 y[1] (numeric) = 1.264992562761391336872966314544 absolute error = 1.0e-30 relative error = 7.9051848163997827241086139023697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.4MB, time=30.93 x[1] = 1.233 y[1] (analytic) = 1.265592243119663811988542872355 y[1] (numeric) = 1.2655922431196638119885428723535 absolute error = 1.5e-30 relative error = 1.1852158609178300344981569302407e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.234 y[1] (analytic) = 1.266192026016019270770122794271 y[1] (numeric) = 1.2661920260160192707701227942708 absolute error = 2e-31 relative error = 1.5795392475285553039028568806588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.235 y[1] (analytic) = 1.26679191143924025040964245355 y[1] (numeric) = 1.2667919114392402504096424535504 absolute error = 4e-31 relative error = 3.1575825231276383338481117790074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.236 y[1] (analytic) = 1.267391899378115282184159487375 y[1] (numeric) = 1.2673918993781152821841594873739 absolute error = 1.1e-30 relative error = 8.6792412081831101095143247413174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.237 y[1] (analytic) = 1.267991989821438886738090113004 y[1] (numeric) = 1.2679919898214388867380901130037 absolute error = 3e-31 relative error = 2.3659455454623698928214975538849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.4MB, time=31.08 x[1] = 1.238 y[1] (analytic) = 1.268592182758011569370594170849 y[1] (numeric) = 1.2685921827580115693705941708504 absolute error = 1.4e-30 relative error = 1.1035855486325781143323420604869e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.239 y[1] (analytic) = 1.269192478176639815328100703478 y[1] (numeric) = 1.2691924781766398153281007034762 absolute error = 1.8e-30 relative error = 1.4182246041876440019545450283429e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = 1.269792876066136085101966891807 y[1] (numeric) = 1.2697928760661360851019668918065 absolute error = 5e-31 relative error = 3.9376500642295139481081412744878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.241 y[1] (analytic) = 1.270393376415318809731263182051 y[1] (numeric) = 1.2703933764153188097312631820509 absolute error = 1e-31 relative error = 7.8715775645942802642300522313187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.242 y[1] (analytic) = 1.270993979213012386110677449035 y[1] (numeric) = 1.2709939792130123861106774490345 absolute error = 5e-31 relative error = 3.9339289420520727811123918948622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.243 y[1] (analytic) = 1.27159468444804717230353105382 y[1] (numeric) = 1.2715946844480471723035310538202 absolute error = 2e-31 relative error = 1.5728282167742207743887557911623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.4MB, time=31.24 x[1] = 1.244 y[1] (analytic) = 1.272195492109259482859899665655 y[1] (numeric) = 1.2721954921092594828598996656539 absolute error = 1.1e-30 relative error = 8.6464698768601603979670119223101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.245 y[1] (analytic) = 1.272796402185491584139831730394 y[1] (numeric) = 1.2727964021854915841398317303941 absolute error = 1e-31 relative error = 7.8567161117278561275337897921417e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.246 y[1] (analytic) = 1.273397414665591689641657479692 y[1] (numeric) = 1.2733974146655916896416574796921 absolute error = 1e-31 relative error = 7.8530079336042245022990309585330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.247 y[1] (analytic) = 1.273998529538413955335381387268 y[1] (numeric) = 1.2739985295384139553353813872682 absolute error = 2e-31 relative error = 1.5698605246621640216915566231740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.248 y[1] (analytic) = 1.274599746792818475001150990686 y[1] (numeric) = 1.2745997467928184750011509906855 absolute error = 5e-31 relative error = 3.9228000888758466893677473375523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.249 y[1] (analytic) = 1.275201066417671275572795009055 y[1] (numeric) = 1.2752010664176712755727950090544 absolute error = 6e-31 relative error = 4.7051403563011121460548397103102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.4MB, time=31.40 x[1] = 1.25 y[1] (analytic) = 1.27580248840184431248642369911 y[1] (numeric) = 1.2758024884018443124864236991092 absolute error = 8e-31 relative error = 6.2705630947791425566460677503472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.251 y[1] (analytic) = 1.27640401273421546503408440408 y[1] (numeric) = 1.2764040127342154650340844040799 absolute error = 1e-31 relative error = 7.8345099985848223721149355769611e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.252 y[1] (analytic) = 1.277005639403668531722465261744 y[1] (numeric) = 1.2770056394036685317224652617434 absolute error = 6e-31 relative error = 4.6984913886534269875934543534909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.253 y[1] (analytic) = 1.277607368399093225636640049973 y[1] (numeric) = 1.2776073683990932256366400499732 absolute error = 2e-31 relative error = 1.5654261625824069474832583250185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.254 y[1] (analytic) = 1.278209199709385169808847160017 y[1] (numeric) = 1.2782091997093851698088471600176 absolute error = 6e-31 relative error = 4.6940672945900918016574624428108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=774.4MB, alloc=4.4MB, time=31.56 x[1] = 1.255 y[1] (analytic) = 1.278811133323445892592295699625 y[1] (numeric) = 1.2788111333234458925922956996251 absolute error = 1e-31 relative error = 7.8197630122373432392120671317678e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.256 y[1] (analytic) = 1.279413169230182823039991739999 y[1] (numeric) = 1.2794131692301828230399917399987 absolute error = 3e-31 relative error = 2.3448250120835371510732266618667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.257 y[1] (analytic) = 1.280015307418509286288577732403 y[1] (numeric) = 1.2800153074185092862885777324022 absolute error = 8e-31 relative error = 6.2499252576393980896889229165106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.258 y[1] (analytic) = 1.280617547877344498947178132057 y[1] (numeric) = 1.2806175478773444989471781320561 absolute error = 9e-31 relative error = 7.0278593440467251891606963234265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.259 y[1] (analytic) = 1.281219890595613564491244278757 y[1] (numeric) = 1.2812198905956135644912442787558 absolute error = 1.2e-30 relative error = 9.3660737614847982274409767758035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = 1.281822335562247468661391595414 y[1] (numeric) = 1.2818223355622474686613915954124 absolute error = 1.6e-30 relative error = 1.2482229054763582591738426027920e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.4MB, time=31.72 x[1] = 1.261 y[1] (analytic) = 1.282424882766183074867222177463 y[1] (numeric) = 1.2824248827661830748672221774628 absolute error = 2e-31 relative error = 1.5595455350850737833181490332245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.262 y[1] (analytic) = 1.283027532196363119596125857819 y[1] (numeric) = 1.2830275321963631195961258578186 absolute error = 4e-31 relative error = 3.1176260053847490093054701593744e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.263 y[1] (analytic) = 1.283630283841736207827052843721 y[1] (numeric) = 1.2836302838417362078270528437202 absolute error = 8e-31 relative error = 6.2323241362435410193648019086503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.264 y[1] (analytic) = 1.284233137691256808449251033542 y[1] (numeric) = 1.2842331376912568084492510335412 absolute error = 8e-31 relative error = 6.2293985143399129284567634086558e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.265 y[1] (analytic) = 1.284836093733885249685961133237 y[1] (numeric) = 1.2848360937338852496859611332374 absolute error = 4e-31 relative error = 3.1132375713197223107899649896250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.266 y[1] (analytic) = 1.285439151958587714523062703766 y[1] (numeric) = 1.2854391519585877145230627037651 absolute error = 9e-31 relative error = 7.0014982710670913539808792880628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.4MB, time=31.87 x[1] = 1.267 y[1] (analytic) = 1.286042312354336236142664282399 y[1] (numeric) = 1.286042312354336236142664282399 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.268 y[1] (analytic) = 1.286645574910108693361630732463 y[1] (numeric) = 1.2866455749101086933616307324629 absolute error = 1e-31 relative error = 7.7721481307691502773495321058943e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.269 y[1] (analytic) = 1.287248939614888806075040987544 y[1] (numeric) = 1.2872489396148888060750409875446 absolute error = 6e-31 relative error = 4.6611030822018334487764693363155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = 1.287852406457666130704569367806 y[1] (numeric) = 1.2878524064576661307045693678051 absolute error = 9e-31 relative error = 6.9883784468401698791681655937981e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.271 y[1] (analytic) = 1.288455975427436055651783657504 y[1] (numeric) = 1.288455975427436055651783657503 absolute error = 1.0e-30 relative error = 7.7612275395615061767817345078338e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.272 y[1] (analytic) = 1.289059646513199796756353144349 y[1] (numeric) = 1.2890596465131997967563531443483 absolute error = 7e-31 relative error = 5.4303150509244654607259335853680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=785.8MB, alloc=4.4MB, time=32.03 TOP MAIN SOLVE Loop x[1] = 1.273 y[1] (analytic) = 1.289663419703964392759159832765 y[1] (numeric) = 1.2896634197039643927591598327652 absolute error = 2e-31 relative error = 1.5507922217868982568188652727287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.274 y[1] (analytic) = 1.29026729498874270077030605459 y[1] (numeric) = 1.29026729498874270077030605459 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.275 y[1] (analytic) = 1.29087127235655339174201171215 y[1] (numeric) = 1.2908712723565533917420117121509 absolute error = 9e-31 relative error = 6.9720352390909023097055267175369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.276 y[1] (analytic) = 1.291475351796420945946394400077 y[1] (numeric) = 1.2914753517964209459463944000771 absolute error = 1e-31 relative error = 7.7430823484862987768147600013114e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.277 y[1] (analytic) = 1.292079533297375648458125663561 y[1] (numeric) = 1.2920795332973756484581256635607 absolute error = 3e-31 relative error = 2.3218384957650604405222987880783e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.4MB, time=32.19 x[1] = 1.278 y[1] (analytic) = 1.292683816848453584641956662148 y[1] (numeric) = 1.2926838168484535846419566621484 absolute error = 4e-31 relative error = 3.0943374921734134735028390119936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.279 y[1] (analytic) = 1.293288202438696635645106519473 y[1] (numeric) = 1.2932882024386966356451065194731 absolute error = 1e-31 relative error = 7.7322285791700876710534937514073e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = 1.293892690057152473894506650642 y[1] (numeric) = 1.2938926900571524738945066506422 absolute error = 2e-31 relative error = 1.5457232391595458298213291527204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.281 y[1] (analytic) = 1.294497279692874558598894370288 y[1] (numeric) = 1.2944972796928745585988943702884 absolute error = 4e-31 relative error = 3.0900026309433561899481596183456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.282 y[1] (analytic) = 1.295101971334922131255749095551 y[1] (numeric) = 1.2951019713349221312557490955511 absolute error = 1e-31 relative error = 7.7213997208980638245042669579225e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.283 y[1] (analytic) = 1.295706764972360211163064469499 y[1] (numeric) = 1.2957067649723602111630644694985 absolute error = 5e-31 relative error = 3.8588978117333971939705228738027e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.4MB, time=32.34 x[1] = 1.284 y[1] (analytic) = 1.296311660594259590935949741722 y[1] (numeric) = 1.2963116605942595909359497417211 absolute error = 9e-31 relative error = 6.9427748539068062192366171469899e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.285 y[1] (analytic) = 1.296916658189696832028053754023 y[1] (numeric) = 1.2969166581896968320280537540229 absolute error = 1e-31 relative error = 7.7105956939118322465218675451322e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.286 y[1] (analytic) = 1.297521757747754260257804890313 y[1] (numeric) = 1.2975217577477542602578048903128 absolute error = 2e-31 relative error = 1.5413999711816867859947846880596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.287 y[1] (analytic) = 1.29812695925751996133946036095 y[1] (numeric) = 1.2981269592575199613394603609508 absolute error = 8e-31 relative error = 6.1627254121397344696236800517687e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.288 y[1] (analytic) = 1.298732262708087776418958202934 y[1] (numeric) = 1.2987322627080877764189582029342 absolute error = 2e-31 relative error = 1.5399632837561486731114033954632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.289 y[1] (analytic) = 1.299337668088557297614565388419 y[1] (numeric) = 1.2993376680885572976145653884189 absolute error = 1e-31 relative error = 7.6962288138008808765070311523074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.4MB, time=32.50 x[1] = 1.29 y[1] (analytic) = 1.299943175388033863562315445155 y[1] (numeric) = 1.2999431753880338635623154451556 absolute error = 6e-31 relative error = 4.6155863683879844892980447337186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.291 y[1] (analytic) = 1.300548784595628554966229003486 y[1] (numeric) = 1.3005487845956285549662290034867 absolute error = 7e-31 relative error = 5.3823432714801743683580716228521e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.292 y[1] (analytic) = 1.301154495700458190153310695592 y[1] (numeric) = 1.3011544957004581901533106955927 absolute error = 7e-31 relative error = 5.3798376927035468039868015367834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.293 y[1] (analytic) = 1.301760308691645320633315843696 y[1] (numeric) = 1.3017603086916453206333158436966 absolute error = 6e-31 relative error = 4.6091434497879217107197935732697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.294 y[1] (analytic) = 1.302366223558318226663280384934 y[1] (numeric) = 1.3023662235583182266632803849348 absolute error = 8e-31 relative error = 6.1426654463922149192474035502311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.4MB, time=32.66 x[1] = 1.295 y[1] (analytic) = 1.302972240289610912816807491581 y[1] (numeric) = 1.3029722402896109128168074915805 absolute error = 5e-31 relative error = 3.8373802951386384025339394741743e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.296 y[1] (analytic) = 1.303578358874663103558104356261 y[1] (numeric) = 1.3035783588746631035581043562605 absolute error = 5e-31 relative error = 3.8355960468048409083103861663962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.297 y[1] (analytic) = 1.304184579302620238820762622742 y[1] (numeric) = 1.3041845793026202388207626227411 absolute error = 9e-31 relative error = 6.9008636835842075878465201746576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.298 y[1] (analytic) = 1.304790901562633469591275953769 y[1] (numeric) = 1.3047909015626334695912759537704 absolute error = 1.4e-30 relative error = 1.0729688552574538609563151474229e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.299 y[1] (analytic) = 1.305397325643859653497288238357 y[1] (numeric) = 1.3053973256438596534972882383561 absolute error = 9e-31 relative error = 6.8944526108638533719346522672022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 1.306003851535461350400565951727 y[1] (numeric) = 1.3060038515354613504005659517263 absolute error = 7e-31 relative error = 5.3598616817018874364373210106876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.4MB, time=32.81 x[1] = 1.301 y[1] (analytic) = 1.306610479226606817994688192069 y[1] (numeric) = 1.3066104792266068179946881920691 absolute error = 1e-31 relative error = 7.6533903248036705602028981424222e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.302 y[1] (analytic) = 1.307217208706470007407447928973 y[1] (numeric) = 1.3072172087064700074074479289734 absolute error = 4e-31 relative error = 3.0599352375097004767169580943361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.303 y[1] (analytic) = 1.307824039964230558807958009298 y[1] (numeric) = 1.3078240399642305588079580092978 absolute error = 2e-31 relative error = 1.5292577127231127314517983823204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.304 y[1] (analytic) = 1.308430972989073797018455476979 y[1] (numeric) = 1.3084309729890737970184554769793 absolute error = 3e-31 relative error = 2.2928225194383653926602973292990e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.305 y[1] (analytic) = 1.309038007770190727130797774054 y[1] (numeric) = 1.309038007770190727130797774055 absolute error = 1.0e-30 relative error = 7.6391975944487308152204711412061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.306 y[1] (analytic) = 1.309645144296778030127644400911 y[1] (numeric) = 1.3096451442967780301276444009113 absolute error = 3e-31 relative error = 2.2906968449158556974317786680648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.4MB, time=32.97 x[1] = 1.307 y[1] (analytic) = 1.310252382558038058508317624496 y[1] (numeric) = 1.3102523825580380585083176244965 absolute error = 5e-31 relative error = 3.8160586972094464877343459550581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.308 y[1] (analytic) = 1.31085972254317883191933583393 y[1] (numeric) = 1.3108597225431788319193358339303 absolute error = 3e-31 relative error = 2.2885743977088151251412302295929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.309 y[1] (analytic) = 1.311467164241414032789613153623 y[1] (numeric) = 1.311467164241414032789613153622 absolute error = 1.0e-30 relative error = 7.6250479407040696799485369873651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = 1.312074707641963001970318934667 y[1] (numeric) = 1.3120747076419630019703189346666 absolute error = 4e-31 relative error = 3.0486068946399613555613785636630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.311 y[1] (analytic) = 1.312682352734050734379390755924 y[1] (numeric) = 1.3126823527340507343793907559235 absolute error = 5e-31 relative error = 3.8089946052721859954987909044540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.312 memory used=812.5MB, alloc=4.4MB, time=33.12 y[1] (analytic) = 1.313290099506907874650694576797 y[1] (numeric) = 1.3132900995069078746506945767976 absolute error = 6e-31 relative error = 4.5686783158212943970152575482456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.313 y[1] (analytic) = 1.313897947949770712787825694337 y[1] (numeric) = 1.3138979479497707127878256943363 absolute error = 7e-31 relative error = 5.3276588268692573567998993112454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.314 y[1] (analytic) = 1.31450589805188117982254416783 y[1] (numeric) = 1.3145058980518811798225441678307 absolute error = 7e-31 relative error = 5.3251948206349718561099648935933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.315 y[1] (analytic) = 1.31511394980248684347783838466 y[1] (numeric) = 1.3151139498024868434778383846591 absolute error = 9e-31 relative error = 6.8435134471440166402670080028407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.316 y[1] (analytic) = 1.315722103190840903835610451646 y[1] (numeric) = 1.3157221031908409038356104516458 absolute error = 2e-31 relative error = 1.5200778303789785713967001547263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.317 y[1] (analytic) = 1.316330358206202189008977106716 y[1] (numeric) = 1.3163303582062021890089771067168 absolute error = 8e-31 relative error = 6.0775017077793520311335863764841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.4MB, time=33.28 x[1] = 1.318 y[1] (analytic) = 1.316938714837835150819179856125 y[1] (numeric) = 1.3169387148378351508191798561252 absolute error = 2e-31 relative error = 1.5186735551671251976433670250057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.319 y[1] (analytic) = 1.317547173075009860477098052991 y[1] (numeric) = 1.3175471730750098604770980529902 absolute error = 8e-31 relative error = 6.0718888579365867334556000661286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = 1.318155732907002004269358643339 y[1] (numeric) = 1.3181557329070020042693586433399 absolute error = 9e-31 relative error = 6.8277213195073699217614034063722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.321 y[1] (analytic) = 1.31876439432309287924903631628 y[1] (numeric) = 1.3187643943230928792490363162807 absolute error = 7e-31 relative error = 5.3079989345579975835947838509513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.322 y[1] (analytic) = 1.31937315731256938893093780532 y[1] (numeric) = 1.3193731573125693889309378053205 absolute error = 5e-31 relative error = 3.7896784334952651517357127395897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.323 y[1] (analytic) = 1.319982021864724038991464098264 y[1] (numeric) = 1.319982021864724038991464098264 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.4MB, time=33.44 x[1] = 1.324 y[1] (analytic) = 1.320590987968854932973044323465 y[1] (numeric) = 1.320590987968854932973044323464 absolute error = 1.0e-30 relative error = 7.5723672894213646464636899948339e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.325 y[1] (analytic) = 1.321200055614265767993135090561 y[1] (numeric) = 1.32120005561426576799313509056 absolute error = 1.0e-30 relative error = 7.5688764600836307779305737672101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.326 y[1] (analytic) = 1.321809224790265830457779074163 y[1] (numeric) = 1.3218092247902658304577790741635 absolute error = 5e-31 relative error = 3.7826941333333183634626960952761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.327 y[1] (analytic) = 1.322418495486169991779716639255 y[1] (numeric) = 1.3224184954861699917797166392547 absolute error = 3e-31 relative error = 2.2685708119176667647999605804332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.328 y[1] (analytic) = 1.323027867691298704101044317342 y[1] (numeric) = 1.3230278676912987041010443173424 absolute error = 4e-31 relative error = 3.0233679105943954250703718747790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.329 y[1] (analytic) = 1.323637341394977996020413952704 y[1] (numeric) = 1.3236373413949779960204139527053 absolute error = 1.3e-30 relative error = 9.8214213164304758688158788788424e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=824.0MB, alloc=4.4MB, time=33.59 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = 1.324246916586539468324766348279 y[1] (numeric) = 1.3242469165865394683247663482792 absolute error = 2e-31 relative error = 1.5102923593398452910105551474298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.331 y[1] (analytic) = 1.324856593255320289725593250981 y[1] (numeric) = 1.3248565932553202897255932509806 absolute error = 4e-31 relative error = 3.0191946965154577566778948258655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.332 y[1] (analytic) = 1.325466371390663192599721526462 y[1] (numeric) = 1.3254663713906631925997215264632 absolute error = 1.2e-30 relative error = 9.0534171662233467150756279917275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.333 y[1] (analytic) = 1.326076250981916468734613383493 y[1] (numeric) = 1.3260762509819164687346133834914 absolute error = 1.6e-30 relative error = 1.2065671177017549907065993447795e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.334 y[1] (analytic) = 1.326686232018433965078176518279 y[1] (numeric) = 1.3266862320184339650781765182789 absolute error = 1e-31 relative error = 7.5375772798862154496591781563149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.4MB, time=33.75 x[1] = 1.335 y[1] (analytic) = 1.32729631448957507949307805929 y[1] (numeric) = 1.3272963144895750794930780592893 absolute error = 7e-31 relative error = 5.2738788796320279152581783479268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.336 y[1] (analytic) = 1.327906498384704756515556203122 y[1] (numeric) = 1.3279064983847047565155562031211 absolute error = 9e-31 relative error = 6.7775856289187543164379317343255e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.337 y[1] (analytic) = 1.328516783693193483118723442206 y[1] (numeric) = 1.3285167836931934831187234422061 absolute error = 1e-31 relative error = 7.5271913179753936403162641196080e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.338 y[1] (analytic) = 1.329127170404417284480355295138 y[1] (numeric) = 1.3291271704044172844803552951384 absolute error = 4e-31 relative error = 3.0094938159927230163204028879932e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.339 y[1] (analytic) = 1.329737658507757719755158460518 y[1] (numeric) = 1.3297376585077577197551584605177 absolute error = 3e-31 relative error = 2.2560841086253239565157567944390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = 1.330348247992601877851512325239 y[1] (numeric) = 1.330348247992601877851512325239 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.4MB, time=33.90 x[1] = 1.341 y[1] (analytic) = 1.330958938848342373212677768189 y[1] (numeric) = 1.3309589388483423732126777681885 absolute error = 5e-31 relative error = 3.7566898978314241401860570905878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.342 y[1] (analytic) = 1.331569731064377341602467210315 y[1] (numeric) = 1.3315697310643773416024672103145 absolute error = 5e-31 relative error = 3.7549667008450984577042821014125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.343 y[1] (analytic) = 1.332180624630110435895369872033 y[1] (numeric) = 1.3321806246301104358953698720316 absolute error = 1.4e-30 relative error = 1.0509085435683468997263997397768e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.344 y[1] (analytic) = 1.332791619534950821871126208885 y[1] (numeric) = 1.332791619534950821871126208885 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.345 y[1] (analytic) = 1.333402715768313174013745506355 y[1] (numeric) = 1.3334027157683131740137455063535 absolute error = 1.5e-30 relative error = 1.1249414616166374425341253526019e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.346 y[1] (analytic) = 1.334013913319617671314960624599 y[1] (numeric) = 1.334013913319617671314960624599 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.4MB, time=34.06 x[1] = 1.347 y[1] (analytic) = 1.334625212178289993082113893884 y[1] (numeric) = 1.3346252121782899930821138938835 absolute error = 5e-31 relative error = 3.7463701077842816140357028921785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.348 y[1] (analytic) = 1.335236612333761314750468171266 y[1] (numeric) = 1.3352366123337613147504681712655 absolute error = 5e-31 relative error = 3.7446546580690817202040580722389e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.349 y[1] (analytic) = 1.335848113775468303699937079062 y[1] (numeric) = 1.3358481137754683036999370790612 absolute error = 8e-31 relative error = 5.9887047917370148306613748592301e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = 1.33645971649285311507622845541 y[1] (numeric) = 1.3364597164928531150762284554098 absolute error = 2e-31 relative error = 1.4964910466949306281617228963878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.351 y[1] (analytic) = 1.337071420475363387616395057117 y[1] (numeric) = 1.3370714204753633876163950571169 absolute error = 1e-31 relative error = 7.4790320448587121778912814232383e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.4MB, time=34.21 x[1] = 1.352 y[1] (analytic) = 1.337683225712452239478786564764 y[1] (numeric) = 1.3376832257124522394787865647646 absolute error = 6e-31 relative error = 4.4853668526824729680843950111800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.353 y[1] (analytic) = 1.338295132193578264077396949875 y[1] (numeric) = 1.3382951321935782640773969498746 absolute error = 4e-31 relative error = 2.9888773438513996718602612294240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.354 y[1] (analytic) = 1.338907139908205525920601273687 y[1] (numeric) = 1.3389071399082055259206012736868 absolute error = 2e-31 relative error = 1.4937555715306130245087977402860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.355 y[1] (analytic) = 1.339519248845803556454275996876 y[1] (numeric) = 1.3395192488458035564542759968753 absolute error = 7e-31 relative error = 5.2257554387751787383974032130878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.356 y[1] (analytic) = 1.340131458995847349909296889263 y[1] (numeric) = 1.3401314589958473499092968892621 absolute error = 9e-31 relative error = 6.7157590694450582235819831310975e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.357 y[1] (analytic) = 1.340743770347817359153408638311 y[1] (numeric) = 1.3407437703478173591534086383101 absolute error = 9e-31 relative error = 6.7126920139746084301321613909176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.4MB, time=34.37 x[1] = 1.358 y[1] (analytic) = 1.341356182891199491547460264878 y[1] (numeric) = 1.3413561828911994915474602648786 absolute error = 6e-31 relative error = 4.4730848349820249826942417093900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.359 y[1] (analytic) = 1.341968696615485104806000464407 y[1] (numeric) = 1.3419686966154851048060004644064 absolute error = 6e-31 relative error = 4.4710431883637168795909105470919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = 1.342581311510171002862227001354 y[1] (numeric) = 1.3425813115101710028622270013531 absolute error = 9e-31 relative error = 6.7035046018006624364576771388972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.361 y[1] (analytic) = 1.343194027564759431737284294374 y[1] (numeric) = 1.343194027564759431737284294373 absolute error = 1.0e-30 relative error = 7.4449407864999383831376763580362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.362 y[1] (analytic) = 1.343806844768758075413903339325 y[1] (numeric) = 1.3438068447687580754139033393242 absolute error = 8e-31 relative error = 5.9532365318295709925011799503926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.363 y[1] (analytic) = 1.344419763111680051714378126822 y[1] (numeric) = 1.3444197631116800517143781268216 absolute error = 4e-31 relative error = 2.9752612314638539509526180929563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.4MB, time=34.52 x[1] = 1.364 y[1] (analytic) = 1.345032782583043908182872720634 y[1] (numeric) = 1.3450327825830439081828727206334 absolute error = 6e-31 relative error = 4.4608578152849244276100969583647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.365 y[1] (analytic) = 1.345645903172373617972053172791 y[1] (numeric) = 1.3456459031723736179720531727909 absolute error = 1e-31 relative error = 7.4313755025931416357971367162461e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.366 y[1] (analytic) = 1.346259124869198575734038460833 y[1] (numeric) = 1.3462591248691985757340384608331 absolute error = 1e-31 relative error = 7.4279905073784303878342447557218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.367 y[1] (analytic) = 1.346872447663053593515664642143 y[1] (numeric) = 1.3468724476630535935156646421423 absolute error = 7e-31 relative error = 5.1972256260387817350185098267627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.368 y[1] (analytic) = 1.347485871543478896658056429841 y[1] (numeric) = 1.3474858715434788966580564298415 absolute error = 5e-31 relative error = 3.7106140447118347358583353849803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=850.7MB, alloc=4.4MB, time=34.68 x[1] = 1.369 y[1] (analytic) = 1.348099396500020119700500404221 y[1] (numeric) = 1.3480993965000201197005004042213 absolute error = 3e-31 relative error = 2.2253551984287645414133234467712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = 1.348713022522228302288614083143 y[1] (numeric) = 1.3487130225222283022886140831428 absolute error = 2e-31 relative error = 1.4828951501185922287933155713078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.371 y[1] (analytic) = 1.349326749599659885086805084323 y[1] (numeric) = 1.3493267495996598850868050843234 absolute error = 4e-31 relative error = 2.9644413417185902431690812732718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.372 y[1] (analytic) = 1.349940577721876705695014621853 y[1] (numeric) = 1.3499405777218767056950146218531 absolute error = 1e-31 relative error = 7.4077334699248245251197956972855e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.373 y[1] (analytic) = 1.350554506878445994569739588716 y[1] (numeric) = 1.3505545068784459945697395887145 absolute error = 1.5e-30 relative error = 1.1106549142299849090618428456936e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.374 y[1] (analytic) = 1.351168537058940370949327486483 y[1] (numeric) = 1.3511685370589403709493274864829 absolute error = 1e-31 relative error = 7.4010012265137448521811251859419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.4MB, time=34.83 x[1] = 1.375 y[1] (analytic) = 1.351782668252937838783538472773 y[1] (numeric) = 1.3517826682529378387835384727723 absolute error = 7e-31 relative error = 5.1783472035833204290313143876140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.376 y[1] (analytic) = 1.352396900450021782667368806361 y[1] (numeric) = 1.3523969004500217826673688063607 absolute error = 3e-31 relative error = 2.2182836998529973079132225669186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.377 y[1] (analytic) = 1.35301123363978096377912997928 y[1] (numeric) = 1.3530112336397809637791299792799 absolute error = 1e-31 relative error = 7.3909216356605289416108513799712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.378 y[1] (analytic) = 1.353625667811809515822777834488 y[1] (numeric) = 1.3536256678118095158227778344883 absolute error = 3e-31 relative error = 2.2162700304358301589883753465548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.379 y[1] (analytic) = 1.354240202955706940974485977059 y[1] (numeric) = 1.354240202955706940974485977059 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = 1.354854839061078105833457796115 y[1] (numeric) = 1.3548548390610781058334577961143 absolute error = 7e-31 relative error = 5.1666051581223555295967126243780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.4MB, time=34.99 x[1] = 1.381 y[1] (analytic) = 1.355469576117533237376971424015 y[1] (numeric) = 1.3554695761175332373769714240154 absolute error = 4e-31 relative error = 2.9510068469830108615823906888242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.382 y[1] (analytic) = 1.356084414114687918919651968577 y[1] (numeric) = 1.3560844141146879189196519685779 absolute error = 9e-31 relative error = 6.6367549883504850768135617125752e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.383 y[1] (analytic) = 1.356699353042163086076965363328 y[1] (numeric) = 1.3566993530421630860769653633278 absolute error = 2e-31 relative error = 1.4741659568977804427887767051240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.384 y[1] (analytic) = 1.357314392889585022732928190037 y[1] (numeric) = 1.3573143928895850227329281900367 absolute error = 3e-31 relative error = 2.2102469521547646087451332940313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.385 y[1] (analytic) = 1.357929533646585357012027836985 y[1] (numeric) = 1.3579295336465853570120278369846 absolute error = 4e-31 relative error = 2.9456609499157116888939188481504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.4MB, time=35.15 x[1] = 1.386 y[1] (analytic) = 1.358544775302801057255347365589 y[1] (numeric) = 1.3585447753028010572553473655874 absolute error = 1.6e-30 relative error = 1.1777307815588057259149423809688e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.387 y[1] (analytic) = 1.3591601178478744280008894672 y[1] (numeric) = 1.3591601178478744280008894671993 absolute error = 7e-31 relative error = 5.1502394074687549916716614960378e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.388 y[1] (analytic) = 1.359775561271453105968093901056 y[1] (numeric) = 1.3597755612714531059680939010553 absolute error = 7e-31 relative error = 5.1479083750076195716868149887030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.389 y[1] (analytic) = 1.360391105563190056046542813455 y[1] (numeric) = 1.3603911055631900560465428134556 absolute error = 6e-31 relative error = 4.4104963458402297593625979538460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = 1.361006750712743567288848347412 y[1] (numeric) = 1.3610067507127435672888483474135 absolute error = 1.5e-30 relative error = 1.1021253195213523137669886957117e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.391 y[1] (analytic) = 1.361622496709777248907716961092 y[1] (numeric) = 1.3616224967097772489077169610913 absolute error = 7e-31 relative error = 5.1409256360810654124087169099541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.4MB, time=35.30 x[1] = 1.392 y[1] (analytic) = 1.362238343543960026277184882432 y[1] (numeric) = 1.3622383435439600262771848824319 absolute error = 1e-31 relative error = 7.3408592904412660387687033081168e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.393 y[1] (analytic) = 1.362854291204966136938019136461 y[1] (numeric) = 1.3628542912049661369380191364618 absolute error = 8e-31 relative error = 5.8700332468607548022118040503932e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.394 y[1] (analytic) = 1.363470339682475126607278590792 y[1] (numeric) = 1.3634703396824751266072785907914 absolute error = 6e-31 relative error = 4.4005357691882608630647913119851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.395 y[1] (analytic) = 1.36408648896617184519202947387 y[1] (numeric) = 1.3640864889661718451920294738697 absolute error = 3e-31 relative error = 2.1992740374356111539812503929374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.396 y[1] (analytic) = 1.364702739045746442807209829567 y[1] (numeric) = 1.3647027390457464428072098295667 absolute error = 3e-31 relative error = 2.1982809253374235862619392386224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.397 y[1] (analytic) = 1.365319089910894365797637380653 y[1] (numeric) = 1.3653190899108943657976373806531 absolute error = 1e-31 relative error = 7.3242951584692454312498451455707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.4MB, time=35.46 x[1] = 1.398 y[1] (analytic) = 1.36593554155131635276415528273 y[1] (numeric) = 1.3659355415513163527641552827295 absolute error = 5e-31 relative error = 3.6604948388131218090572659065278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.399 y[1] (analytic) = 1.366552093956718430593910259117 y[1] (numeric) = 1.3665520939567184305939102591183 absolute error = 1.3e-30 relative error = 9.5129926312283981256173993911942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 1.367168747116811910494757616179 y[1] (numeric) = 1.3671687471168119104947576161792 absolute error = 2e-31 relative error = 1.4628772082581247876375944031270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.401 y[1] (analytic) = 1.367785501021313384033787647437 y[1] (numeric) = 1.3677855010213133840337876474371 absolute error = 1e-31 relative error = 7.3110878807628009622340131462471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.402 y[1] (analytic) = 1.368402355659944719179967943824 y[1] (numeric) = 1.3684023556599447191799679438243 absolute error = 3e-31 relative error = 2.1923376465931165015215381770107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.403 y[1] (analytic) = 1.369019311022433056350896136232 y[1] (numeric) = 1.3690193110224330563508961362316 absolute error = 4e-31 relative error = 2.9217995449696436796001289523528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=873.5MB, alloc=4.4MB, time=35.62 TOP MAIN SOLVE Loop x[1] = 1.404 y[1] (analytic) = 1.369636367098510804463657605443 y[1] (numeric) = 1.3696363670985108044636576054431 absolute error = 1e-31 relative error = 7.3012079995980072617355581723639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.405 y[1] (analytic) = 1.370253523877915636989782703389 y[1] (numeric) = 1.3702535238779156369897827033878 absolute error = 1.2e-30 relative error = 8.7575034771953297553228221950202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.406 y[1] (analytic) = 1.370870781350390488014298038488 y[1] (numeric) = 1.3708707813503904880142980384876 absolute error = 4e-31 relative error = 2.9178534216476322399891436557364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.407 y[1] (analytic) = 1.371488139505683548298866386705 y[1] (numeric) = 1.3714881395056835482988663867049 absolute error = 1e-31 relative error = 7.2913499664708979864288683059444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.408 y[1] (analytic) = 1.372105598333548261349009798707 y[1] (numeric) = 1.3721055983335482613490097987061 absolute error = 9e-31 relative error = 6.5592619190029495027129804461898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=877.4MB, alloc=4.4MB, time=35.77 x[1] = 1.409 y[1] (analytic) = 1.372723157823743319485410482348 y[1] (numeric) = 1.3727231578237433194854104823481 absolute error = 1e-31 relative error = 7.2847900488934513278340671821330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = 1.373340817966032659919284048473 y[1] (numeric) = 1.3733408179660326599192840484729 absolute error = 1e-31 relative error = 7.2815137139886085091409903243248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.411 y[1] (analytic) = 1.373958578750185460831819716754 y[1] (numeric) = 1.3739585787501854608318197167537 absolute error = 3e-31 relative error = 2.1834719375084327311844841723305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.412 y[1] (analytic) = 1.374576440165976137457682087081 y[1] (numeric) = 1.3745764401659761374576820870798 absolute error = 1.2e-30 relative error = 8.7299619354388429921025492344914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.413 y[1] (analytic) = 1.375194402203184338172569090693 y[1] (numeric) = 1.3751944022031843381725690906923 absolute error = 7e-31 relative error = 5.0901894225175541625079703487716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.414 y[1] (analytic) = 1.375812464851594940584820743994 y[1] (numeric) = 1.3758124648515949405848207439937 absolute error = 3e-31 relative error = 2.1805297427099569460750864012175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.4MB, time=35.92 x[1] = 1.415 y[1] (analytic) = 1.376430628100998047631073336646 y[1] (numeric) = 1.3764306281009980476310733366467 absolute error = 7e-31 relative error = 5.0856177253608472731112274466919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.416 y[1] (analytic) = 1.377048891941188983675953694253 y[1] (numeric) = 1.3770488919411889836759536942529 absolute error = 1e-31 relative error = 7.2619062827197569750026900675719e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.417 y[1] (analytic) = 1.377667256361968290615808164564 y[1] (numeric) = 1.3776672563619682906158081645632 absolute error = 8e-31 relative error = 5.8069174273080640199886942807537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.418 y[1] (analytic) = 1.378285721353141723986460984814 y[1] (numeric) = 1.3782857213531417239864609848139 absolute error = 1e-31 relative error = 7.2553896808728668385464444718592e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.419 y[1] (analytic) = 1.37890428690452024907499669641 y[1] (numeric) = 1.37890428690452024907499669641 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 1.379522953005920037035561281787 y[1] (numeric) = 1.3795229530059200370355612817865 absolute error = 5e-31 relative error = 3.6244413252459621620527868742265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.4MB, time=36.08 x[1] = 1.421 y[1] (analytic) = 1.380141719647162461009176706874 y[1] (numeric) = 1.3801417196471624610091767068734 absolute error = 6e-31 relative error = 4.3473796310815955408475467651841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.422 y[1] (analytic) = 1.380760586818074092247563561167 y[1] (numeric) = 1.3807605868180740922475635611668 absolute error = 2e-31 relative error = 1.4484770343922885302782575631021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.423 y[1] (analytic) = 1.381379554508486696240966495971 y[1] (numeric) = 1.3813795545084866962409664959702 absolute error = 8e-31 relative error = 5.7913120068195210096121779808547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.424 y[1] (analytic) = 1.381998622708237228849977169916 y[1] (numeric) = 1.3819986227082372288499771699149 absolute error = 1.1e-30 relative error = 7.9594869482892979474157725240958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.425 y[1] (analytic) = 1.382617791407167832441349419397 y[1] (numeric) = 1.3826177914071678324413494193964 absolute error = 6e-31 relative error = 4.3395940926620528924001871764697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.4MB, time=36.24 x[1] = 1.426 y[1] (analytic) = 1.383237060595125832027801380077 y[1] (numeric) = 1.3832370605951258320278013800773 absolute error = 3e-31 relative error = 2.1688256376743374977647237167867e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.427 y[1] (analytic) = 1.383856430261963731411799294103 y[1] (numeric) = 1.3838564302619637314117992941019 absolute error = 1.1e-30 relative error = 7.9488014503915715532744257861450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.428 y[1] (analytic) = 1.384475900397539209333317746151 y[1] (numeric) = 1.3844759003975392093333177461492 absolute error = 1.8e-30 relative error = 1.3001309733763852161053832978698e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.429 y[1] (analytic) = 1.385095470991715115621571079913 y[1] (numeric) = 1.3850954709917151156215710799138 absolute error = 8e-31 relative error = 5.7757751487499099831387695739765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = 1.385715142034359467350710755054 y[1] (numeric) = 1.3857151420343594673507107550529 absolute error = 1.1e-30 relative error = 7.9381394244209317860085988213347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.431 y[1] (analytic) = 1.386334913515345444999483413068 y[1] (numeric) = 1.3863349135153454449994834130686 absolute error = 6e-31 relative error = 4.3279585196233215622446160554426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.4MB, time=36.39 x[1] = 1.432 y[1] (analytic) = 1.38695478542455138861484442901 y[1] (numeric) = 1.3869547854245513886148444290108 absolute error = 8e-31 relative error = 5.7680322993017929403921771326471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.433 y[1] (analytic) = 1.387574757751860793979521734287 y[1] (numeric) = 1.3875747577518607939795217342867 absolute error = 3e-31 relative error = 2.1620456723071120442696161503532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.434 y[1] (analytic) = 1.388194830487162308783524704245 y[1] (numeric) = 1.3881948304871623087835247042447 absolute error = 3e-31 relative error = 2.1610799392958431543120482834911e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.435 y[1] (analytic) = 1.38881500362034972879959291257 y[1] (numeric) = 1.3888150036203497287995929125706 absolute error = 6e-31 relative error = 4.3202298249653532866758858958488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.436 y[1] (analytic) = 1.389435277141321994062579562886 y[1] (numeric) = 1.3894352771413219940625795628852 absolute error = 8e-31 relative error = 5.7577349097249856434111097521729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.437 y[1] (analytic) = 1.390055651039983185052764416267 y[1] (numeric) = 1.3900556510399831850527644162673 absolute error = 3e-31 relative error = 2.1581869745686238074344240360228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.4MB, time=36.55 x[1] = 1.438 y[1] (analytic) = 1.390676125306242518883091041751 y[1] (numeric) = 1.3906761253062425188830910417499 absolute error = 1.1e-30 relative error = 7.9098215607733082505554623597151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.439 y[1] (analytic) = 1.391296699930014345490323225138 y[1] (numeric) = 1.3912966999300143454903232251383 absolute error = 3e-31 relative error = 2.1562618528103368584595792902390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = 1.39191737490121814383011537979 y[1] (numeric) = 1.3919173749012181438301153797899 absolute error = 1e-31 relative error = 7.1843344873180291294248635379713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.441 y[1] (analytic) = 1.392538150209778518075991811269 y[1] (numeric) = 1.3925381502097785180759918112686 absolute error = 4e-31 relative error = 2.8724527219576864912062679101754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.442 y[1] (analytic) = 1.393159025845625193822229696045 y[1] (numeric) = 1.393159025845625193822229696044 absolute error = 1.0e-30 relative error = 7.1779314597126916779208137943601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.4MB, time=36.71 x[1] = 1.443 y[1] (analytic) = 1.393780001798693014290640642647 y[1] (numeric) = 1.3937800017986930142906406426463 absolute error = 7e-31 relative error = 5.0223134145750404982319307772219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.444 y[1] (analytic) = 1.394401078058921936541245711917 y[1] (numeric) = 1.3944010780589219365412457119167 absolute error = 3e-31 relative error = 2.1514613314672378157443904438175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.445 y[1] (analytic) = 1.395022254616257027686838781202 y[1] (numeric) = 1.3950222546162570276868387812018 absolute error = 2e-31 relative error = 1.4336688847664013497427350182319e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.446 y[1] (analytic) = 1.395643531460648461111433145536 y[1] (numeric) = 1.3956435314606484611114331455362 absolute error = 2e-31 relative error = 1.4330306807690685467579179150186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.447 y[1] (analytic) = 1.396264908582051512692586257038 y[1] (numeric) = 1.3962649085820515126925862570378 absolute error = 2e-31 relative error = 1.4323929418458703550174931580429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.448 y[1] (analytic) = 1.396886385970426557027597511905 y[1] (numeric) = 1.3968863859704265570275975119036 absolute error = 1.4e-30 relative error = 1.0022289672666617005806730367453e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=904.1MB, alloc=4.4MB, time=36.87 x[1] = 1.449 y[1] (analytic) = 1.397507963615739063663574002545 y[1] (numeric) = 1.3975079636157390636635740025446 absolute error = 4e-31 relative error = 2.8622377146609564110169544702936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = 1.398129641507959593331359160529 y[1] (numeric) = 1.3981296415079595933313591605284 absolute error = 6e-31 relative error = 4.2914475323823837425160343782435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.451 y[1] (analytic) = 1.39875141963706379418331922412 y[1] (numeric) = 1.3987514196370637941833192241204 absolute error = 4e-31 relative error = 2.8596932548871951956469240500091e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.452 y[1] (analytic) = 1.399373297993032398034982472314 y[1] (numeric) = 1.3993732979930323980349824723138 absolute error = 2e-31 relative error = 1.4292112068083481287156752068920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.453 y[1] (analytic) = 1.399995276565851216610526175328 y[1] (numeric) = 1.3999952765658512166105261753276 absolute error = 4e-31 relative error = 2.8571524968369084579847059492121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.454 y[1] (analytic) = 1.400617355345511137792106219625 y[1] (numeric) = 1.4006173553455111377921062196248 absolute error = 2e-31 relative error = 1.4279417518046034926028302016649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.4MB, time=37.02 x[1] = 1.455 y[1] (analytic) = 1.401239534322008121873024373557 y[1] (numeric) = 1.4012395343220081218730243735572 absolute error = 2e-31 relative error = 1.4273077164980954090577158752800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.456 y[1] (analytic) = 1.401861813485343197814728167789 y[1] (numeric) = 1.401861813485343197814728167789 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.457 y[1] (analytic) = 1.402484192825522459507638372674 y[1] (numeric) = 1.4024841928255224595076383726737 absolute error = 3e-31 relative error = 2.1390615419030381876061834824697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.458 y[1] (analytic) = 1.403106672332557062035799062775 y[1] (numeric) = 1.403106672332557062035799062774 absolute error = 1.0e-30 relative error = 7.1270418687238997714145633993375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.459 y[1] (analytic) = 1.403729251996463217945345266708 y[1] (numeric) = 1.4037292519964632179453452667081 absolute error = 1e-31 relative error = 7.1238808949642061132375740397720e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.4MB, time=37.18 x[1] = 1.46 y[1] (analytic) = 1.404351931807262193516783208489 y[1] (numeric) = 1.4043519318072621935167832084891 absolute error = 1e-31 relative error = 7.1207222160694349231696242457561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.461 y[1] (analytic) = 1.404974711754980305041078154489 y[1] (numeric) = 1.4049747117549803050410781544889 absolute error = 1e-31 relative error = 7.1175658297143385228748890771942e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.462 y[1] (analytic) = 1.405597591829648915099544888111 y[1] (numeric) = 1.4055975918296489150995448881104 absolute error = 6e-31 relative error = 4.2686470401460168795920863685359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.463 y[1] (analytic) = 1.406220572021304428847535842189 y[1] (numeric) = 1.4062205720213044288475358421876 absolute error = 1.4e-30 relative error = 9.9557638954722233550612895981359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.464 y[1] (analytic) = 1.406843652319988290301921927055 y[1] (numeric) = 1.4068436523199882903019219270554 absolute error = 4e-31 relative error = 2.8432441610719903664089970102503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.465 y[1] (analytic) = 1.407466832715746978632361100136 y[1] (numeric) = 1.4074668327157469786323611001354 absolute error = 6e-31 relative error = 4.2629778979749246762696813233063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.4MB, time=37.34 x[1] = 1.466 y[1] (analytic) = 1.408090113198632004456349730777 y[1] (numeric) = 1.4080901131986320044563497307783 absolute error = 1.3e-30 relative error = 9.2323636663203792405925437329169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.467 y[1] (analytic) = 1.408713493758699906138051821979 y[1] (numeric) = 1.4087134937586999061380518219785 absolute error = 5e-31 relative error = 3.5493377625418384295317204841377e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.468 y[1] (analytic) = 1.409336974386012246090901158439 y[1] (numeric) = 1.4093369743860122460909011584391 absolute error = 1e-31 relative error = 7.0955351216529117687604809361924e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.469 y[1] (analytic) = 1.409960555070635607083971458313 y[1] (numeric) = 1.4099605550706356070839714583122 absolute error = 8e-31 relative error = 5.6739175938146861039076891529321e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = 1.410584235802641588552109613773 y[1] (numeric) = 1.4105842358026415885521096137728 absolute error = 2e-31 relative error = 1.4178522269263649017370992174790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.471 y[1] (analytic) = 1.411208016572106802909827113401 y[1] (numeric) = 1.4112080165721068029098271134015 absolute error = 5e-31 relative error = 3.5430637732240525426516274727251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.4MB, time=37.50 x[1] = 1.472 y[1] (analytic) = 1.411831897369112871868944747155 y[1] (numeric) = 1.4118318973691128718689447471552 absolute error = 2e-31 relative error = 1.4165992450849939852005615639271e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.473 y[1] (analytic) = 1.412455878183746422759985702492 y[1] (numeric) = 1.412455878183746422759985702492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.474 y[1] (analytic) = 1.413079959006099084857312167993 y[1] (numeric) = 1.4130799590060990848573121679923 absolute error = 7e-31 relative error = 4.9537182629944770534777499092961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.475 y[1] (analytic) = 1.413704139826267485708000568574 y[1] (numeric) = 1.4137041398262674857080005685752 absolute error = 1.2e-30 relative error = 8.4883390109296139420880987673637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.476 y[1] (analytic) = 1.414328420634353247464450564157 y[1] (numeric) = 1.4143284206343532474644505641559 absolute error = 1.1e-30 relative error = 7.7775429239174097830253831323983e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.477 memory used=923.1MB, alloc=4.4MB, time=37.65 y[1] (analytic) = 1.41495280142046298322072295132 y[1] (numeric) = 1.4149528014204629832207229513193 absolute error = 7e-31 relative error = 4.9471614833885202678359910444529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.478 y[1] (analytic) = 1.4155772821747082933526016153 y[1] (numeric) = 1.4155772821747082933526016152996 absolute error = 4e-31 relative error = 2.8257023126670426259577691538973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.479 y[1] (analytic) = 1.416201862887205761861374687259 y[1] (numeric) = 1.4162018628872057618613746872589 absolute error = 1e-31 relative error = 7.0611402668352907941257637467392e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = 1.416826543548076952721330069544 y[1] (numeric) = 1.4168265435480769527213300695434 absolute error = 6e-31 relative error = 4.2348162005594179791297665113329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.481 y[1] (analytic) = 1.417451324147448406230960499269 y[1] (numeric) = 1.4174513241474484062309604992685 absolute error = 5e-31 relative error = 3.5274579908465921622032390414803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.482 y[1] (analytic) = 1.418076204675451635367873328242 y[1] (numeric) = 1.4180762046754516353678733282415 absolute error = 5e-31 relative error = 3.5259036034275226050654484847104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=927.0MB, alloc=4.4MB, time=37.81 x[1] = 1.483 y[1] (analytic) = 1.418701185122223122147400204877 y[1] (numeric) = 1.4187011851222231221474002048763 absolute error = 7e-31 relative error = 4.9340904719107146284404726189184e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.484 y[1] (analytic) = 1.419326265477904313984901851382 y[1] (numeric) = 1.4193262654779043139849018513814 absolute error = 6e-31 relative error = 4.2273578288074077575497354967011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.485 y[1] (analytic) = 1.41995144573264162006176313712 y[1] (numeric) = 1.4199514457326416200617631371195 absolute error = 5e-31 relative error = 3.5212471630818247970456795561551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.486 y[1] (analytic) = 1.420576725876586407695073656637 y[1] (numeric) = 1.420576725876586407695073656637 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.487 y[1] (analytic) = 1.421202105899894998710989028449 y[1] (numeric) = 1.4212021058998949987109890284491 absolute error = 1e-31 relative error = 7.0362969196897380000191226504293e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.488 y[1] (analytic) = 1.421827585792728665821768138238 y[1] (numeric) = 1.4218275857927286658217681382381 absolute error = 1e-31 relative error = 7.0332015639045148415730032464835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.4MB, time=37.97 x[1] = 1.489 y[1] (analytic) = 1.422453165545253629006481557682 y[1] (numeric) = 1.422453165545253629006481557681 absolute error = 1.0e-30 relative error = 7.0301084367630535396544054166019e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = 1.423078845147641051895386377667 y[1] (numeric) = 1.4230788451476410518953863776671 absolute error = 1e-31 relative error = 7.0270175360259281623245589217365e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.491 y[1] (analytic) = 1.423704624590067038157962702196 y[1] (numeric) = 1.4237046245900670381579627021967 absolute error = 7e-31 relative error = 4.9167502016196217475850130025648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.492 y[1] (analytic) = 1.424330503862712627894607056767 y[1] (numeric) = 1.4243305038627126278946070567672 absolute error = 2e-31 relative error = 1.4041684809642850987798602788852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.493 y[1] (analytic) = 1.424956482955763794031977972556 y[1] (numeric) = 1.4249564829557637940319779725554 absolute error = 6e-31 relative error = 4.2106549019337760348308153268269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.494 y[1] (analytic) = 1.425582561859411438721989015194 y[1] (numeric) = 1.4255825618594114387219890151941 absolute error = 1e-31 relative error = 7.0146761524333118407643464043652e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=934.6MB, alloc=4.4MB, time=38.12 TOP MAIN SOLVE Loop x[1] = 1.495 y[1] (analytic) = 1.426208740563851389744444534414 y[1] (numeric) = 1.4262087405638513897444445344129 absolute error = 1.1e-30 relative error = 7.7127559852502038509151823088954e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.496 y[1] (analytic) = 1.426835019059284396913313418276 y[1] (numeric) = 1.4268350190592843969133134182758 absolute error = 2e-31 relative error = 1.4017037522099819155049086383737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.497 y[1] (analytic) = 1.427461397335916128486636143193 y[1] (numeric) = 1.4274613973359161284866361431924 absolute error = 6e-31 relative error = 4.2032660296088239143705609760793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.498 y[1] (analytic) = 1.428087875383957167580060418314 y[1] (numeric) = 1.4280878753839571675800604183138 absolute error = 2e-31 relative error = 1.4004740425810827315799250432068e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.499 y[1] (analytic) = 1.428714453193623008584000730342 y[1] (numeric) = 1.428714453193623008584000730341 absolute error = 1.0e-30 relative error = 6.9992992495084492725646386785978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.4MB, time=38.28 x[1] = 1.5 y[1] (analytic) = 1.42934113075513405358441710218 y[1] (numeric) = 1.4293411307551340535844171021801 absolute error = 1e-31 relative error = 6.9962304902797473616841631931789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.501 y[1] (analytic) = 1.429967908058715608787208386268 y[1] (numeric) = 1.4299679080587156087872083862684 absolute error = 4e-31 relative error = 2.7972655732045679230234825439012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.502 y[1] (analytic) = 1.430594785094597880946215420773 y[1] (numeric) = 1.4305947850945978809462154207734 absolute error = 4e-31 relative error = 2.7960398301993674309541984380018e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.503 y[1] (analytic) = 1.431221761853015973794829384229 y[1] (numeric) = 1.4312217618530159737948293842297 absolute error = 7e-31 relative error = 4.8909261908769718828572536310441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.504 y[1] (analytic) = 1.431848838324209884481200691529 y[1] (numeric) = 1.431848838324209884481200691529 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.505 y[1] (analytic) = 1.432476014498424500007043781514 y[1] (numeric) = 1.4324760144984245000070437815144 absolute error = 4e-31 relative error = 2.7923678717933600524955537463675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.4MB, time=38.44 x[1] = 1.506 y[1] (analytic) = 1.433103290365909593670033153753 y[1] (numeric) = 1.4331032903659095936700331537526 absolute error = 4e-31 relative error = 2.7911456395991478277468688385453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.507 y[1] (analytic) = 1.433730665916919821509786019368 y[1] (numeric) = 1.4337306659169198215097860193668 absolute error = 1.2e-30 relative error = 8.3697728487418446709823107016398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.508 y[1] (analytic) = 1.434358141141714718757426938108 y[1] (numeric) = 1.4343581411417147187574269381078 absolute error = 2e-31 relative error = 1.3943519004312604327328178484553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.509 y[1] (analytic) = 1.434985716030558696288729821123 y[1] (numeric) = 1.434985716030558696288729821123 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = 1.435613390573721037080832686153 y[1] (numeric) = 1.4356133905737210370808326861516 absolute error = 1.4e-30 relative error = 9.7519291000797318581456702847622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.511 y[1] (analytic) = 1.436241164761475892672520559129 y[1] (numeric) = 1.4362411647614758926725205591282 absolute error = 8e-31 relative error = 5.5700951875506241894547019265386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.4MB, time=38.59 x[1] = 1.512 y[1] (analytic) = 1.436869038584102279628071923419 y[1] (numeric) = 1.4368690385841022796280719234187 absolute error = 3e-31 relative error = 2.0878729511467618175939750318372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.513 y[1] (analytic) = 1.43749701203188407600466412514 y[1] (numeric) = 1.43749701203188407600466412514 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.514 y[1] (analytic) = 1.438125085095110017823333150232 y[1] (numeric) = 1.4381250850951100178233331502306 absolute error = 1.4e-30 relative error = 9.7348972944687309621713199833237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.515 y[1] (analytic) = 1.438753257764073695543483196138 y[1] (numeric) = 1.4387532577640736955434831961379 absolute error = 1e-31 relative error = 6.9504621074086887240716751828164e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.516 y[1] (analytic) = 1.439381530029073550540941468179 y[1] (numeric) = 1.4393815300290735505409414681783 absolute error = 7e-31 relative error = 4.8631998215640640561763076492546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.4MB, time=38.75 x[1] = 1.517 y[1] (analytic) = 1.4400099018804128715895536378 y[1] (numeric) = 1.4400099018804128715895536377988 absolute error = 1.2e-30 relative error = 8.3332760311786748747094789180957e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.518 y[1] (analytic) = 1.44063837330839979134631540713 y[1] (numeric) = 1.4406383733083997913463154071301 absolute error = 1e-31 relative error = 6.9413672336348934622532425535903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.519 y[1] (analytic) = 1.441266944303347282840035631372 y[1] (numeric) = 1.4412669443033472828400356313705 absolute error = 1.5e-30 relative error = 1.0407509905980963196842680182648e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = 1.441895614855573155963526457673 y[1] (numeric) = 1.4418956148555731559635264576726 absolute error = 4e-31 relative error = 2.7741259206205840716666633860966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.521 y[1] (analytic) = 1.442524384955400053969315946328 y[1] (numeric) = 1.4425243849554000539693159463266 absolute error = 1.4e-30 relative error = 9.7052085538455918564718381722891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.522 y[1] (analytic) = 1.443153254593155449968878647143 y[1] (numeric) = 1.4431532545931554499688786471437 absolute error = 7e-31 relative error = 4.8504897021303501825894507391921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=953.7MB, alloc=4.4MB, time=38.91 x[1] = 1.523 y[1] (analytic) = 1.443782223759171643435379611035 y[1] (numeric) = 1.443782223759171643435379611036 absolute error = 1.0e-30 relative error = 6.9262523360088397703065720605363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.524 y[1] (analytic) = 1.444411292443785756709927323873 y[1] (numeric) = 1.4444112924437857567099273238726 absolute error = 4e-31 relative error = 2.7692943283712757217431414566818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.525 y[1] (analytic) = 1.44504046063733973151133105676 y[1] (numeric) = 1.4450404606373397315113310567603 absolute error = 3e-31 relative error = 2.0760664366981394933641664276431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.526 y[1] (analytic) = 1.445669728330180325449358133952 y[1] (numeric) = 1.4456697283301803254493581339524 absolute error = 4e-31 relative error = 2.7668836952269844036116052965427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.527 y[1] (analytic) = 1.446299095512659108541486626633 y[1] (numeric) = 1.4462990955126591085414866266324 absolute error = 6e-31 relative error = 4.1485194996082215563882897666278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.528 y[1] (analytic) = 1.44692856217513245973314898785 y[1] (numeric) = 1.4469285621751324597331489878494 absolute error = 6e-31 relative error = 4.1467147424198649880188747824942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.4MB, time=39.06 x[1] = 1.529 y[1] (analytic) = 1.447558128307961563421462150897 y[1] (numeric) = 1.4475581283079615634214621508972 absolute error = 2e-31 relative error = 1.3816370899991305093088381733035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = 1.448187793901512405982439620435 y[1] (numeric) = 1.4481877939015124059824396204355 absolute error = 5e-31 relative error = 3.4525909008870139468633605098409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.531 y[1] (analytic) = 1.448817558946155772301681092639 y[1] (numeric) = 1.4488175589461557723016810926393 absolute error = 3e-31 relative error = 2.0706540871730922817689309001457e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.532 y[1] (analytic) = 1.449447423432267242308535147645 y[1] (numeric) = 1.4494474234322672423085351476435 absolute error = 1.5e-30 relative error = 1.0348771371423912033815846957607e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.533 y[1] (analytic) = 1.450077387350227187513730564513 y[1] (numeric) = 1.4500773873502271875137305645121 absolute error = 9e-31 relative error = 6.2065653036945759154623281307785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.4MB, time=39.22 x[1] = 1.534 y[1] (analytic) = 1.450707450690420767550471815917 y[1] (numeric) = 1.4507074506904207675504718159165 absolute error = 5e-31 relative error = 3.4465942789639632253095794973353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.535 y[1] (analytic) = 1.451337613443237926718994306644 y[1] (numeric) = 1.4513376134432379267189943066436 absolute error = 4e-31 relative error = 2.7560782294549418528030906252475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.536 y[1] (analytic) = 1.451967875599073390534574926984 y[1] (numeric) = 1.4519678755990733905345749269835 absolute error = 5e-31 relative error = 3.4436023578944743937969705311879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.537 y[1] (analytic) = 1.452598237148326662278993498959 y[1] (numeric) = 1.4525982371483266622789934989597 absolute error = 7e-31 relative error = 4.8189511875920176093805104604546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.538 y[1] (analytic) = 1.453228698081402019555440700265 y[1] (numeric) = 1.4532286980814020195554407002654 absolute error = 4e-31 relative error = 2.7524917483950909513837261440226e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.539 y[1] (analytic) = 1.453859258388708510846868057658 y[1] (numeric) = 1.4538592583887085108468680576577 absolute error = 3e-31 relative error = 2.0634734639478495535754279441285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.4MB, time=39.38 x[1] = 1.54 y[1] (analytic) = 1.454489918060659952077775608438 y[1] (numeric) = 1.4544899180606599520777756084386 absolute error = 6e-31 relative error = 4.1251575040135604044065027226558e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.541 y[1] (analytic) = 1.455120677087674923179432835514 y[1] (numeric) = 1.4551206770876749231794328355132 absolute error = 8e-31 relative error = 5.4978257995834791820277422655732e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.542 y[1] (analytic) = 1.455751535460176764658528488366 y[1] (numeric) = 1.4557515354601767646585284883668 absolute error = 8e-31 relative error = 5.4954432848811144745239596516078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.543 y[1] (analytic) = 1.45638249316859357416924490914 y[1] (numeric) = 1.4563824931685935741692449091399 absolute error = 1e-31 relative error = 6.8663280744630464385207669472541e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.544 y[1] (analytic) = 1.457013550203358203088752489808 y[1] (numeric) = 1.4570135502033582030887524898061 absolute error = 1.9e-30 relative error = 1.3040372889701769212470924134539e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.545 y[1] (analytic) = 1.457644706554908253096119893269 y[1] (numeric) = 1.4576447065549082530961198932694 absolute error = 4e-31 relative error = 2.7441529352196246980975130713478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.4MB, time=39.53 x[1] = 1.546 y[1] (analytic) = 1.458275962213686072754635678 y[1] (numeric) = 1.4582759622136860727546356779991 absolute error = 9e-31 relative error = 6.1716713661917988766972745955509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.547 y[1] (analytic) = 1.458907317170138754097536972607 y[1] (numeric) = 1.4589073171701387540975369726067 absolute error = 3e-31 relative error = 2.0563335070655060530475467200673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.548 y[1] (analytic) = 1.459538771414718129217140853545 y[1] (numeric) = 1.4595387714147181292171408535454 absolute error = 4e-31 relative error = 2.7405918077276118433111377966645e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.549 y[1] (analytic) = 1.460170324937880766857374085876 y[1] (numeric) = 1.4601703249378807668573740858749 absolute error = 1.1e-30 relative error = 7.5333677257603266427878126417877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = 1.460801977730087969009696893786 y[1] (numeric) = 1.4608019777300879690096968937852 absolute error = 8e-31 relative error = 5.4764438452027876983495086287673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.551 y[1] (analytic) = 1.461433729781805767512416434312 y[1] (numeric) = 1.4614337297818057675124164343106 absolute error = 1.4e-30 relative error = 9.5796338312858160536157176471872e-29 % Correct digits = 30 h = 0.001 memory used=972.7MB, alloc=4.4MB, time=39.68 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.552 y[1] (analytic) = 1.46206558108350492065338565439 y[1] (numeric) = 1.4620655810835049206533856543906 absolute error = 6e-31 relative error = 4.1037830844451798357153850661150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.553 y[1] (analytic) = 1.462697531625660909776083218149 y[1] (numeric) = 1.462697531625660909776083218148 absolute error = 1.0e-30 relative error = 6.8366834453366930690057734934872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.554 y[1] (analytic) = 1.463329581398753935889070197955 y[1] (numeric) = 1.4633295813987539358890701979553 absolute error = 3e-31 relative error = 2.0501191516489318609888928650694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.555 y[1] (analytic) = 1.46396173039326891627881922955 y[1] (numeric) = 1.4639617303932689162788192295492 absolute error = 8e-31 relative error = 5.4646237219950642773834487724865e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.556 y[1] (analytic) = 1.46459397859969548112591183813 y[1] (numeric) = 1.4645939785996954811259118381287 absolute error = 1.3e-30 relative error = 8.8761801495519974578607387881765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.4MB, time=39.84 x[1] = 1.557 y[1] (analytic) = 1.465226326008527970124599649038 y[1] (numeric) = 1.465226326008527970124599649038 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.558 y[1] (analytic) = 1.465858772610265429105725203286 y[1] (numeric) = 1.4658587726102654291057252032858 absolute error = 2e-31 relative error = 1.3643879187887830310529369149156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.559 y[1] (analytic) = 1.466491318395411606662998104792 y[1] (numeric) = 1.4664913183954116066629981047928 absolute error = 8e-31 relative error = 5.4551976541895569073479431051386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = 1.467123963354474950782622232888 y[1] (numeric) = 1.4671239633544749507826222328877 absolute error = 3e-31 relative error = 2.0448169854309465734831673865357e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.561 y[1] (analytic) = 1.467756707477968605476269760186 y[1] (numeric) = 1.4677567074779686054762697601857 absolute error = 3e-31 relative error = 2.0439354728992309842906918519381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.562 y[1] (analytic) = 1.46838955075641040741739772259 y[1] (numeric) = 1.4683895507564104074173977225891 absolute error = 9e-31 relative error = 6.1291637463395437222386675141919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=980.4MB, alloc=4.4MB, time=40.00 x[1] = 1.563 y[1] (analytic) = 1.469022493180322882580902894739 y[1] (numeric) = 1.4690224931803228825809028947385 absolute error = 5e-31 relative error = 3.4036238541013604040216150879427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.564 y[1] (analytic) = 1.469655534740233242886110730825 y[1] (numeric) = 1.4696555347402332428861107308245 absolute error = 5e-31 relative error = 3.4021577722182140399851856576683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.565 y[1] (analytic) = 1.470288675426673382843094137236 y[1] (numeric) = 1.4702886754266733828430941372351 absolute error = 9e-31 relative error = 6.1212469023392476834259109719666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.566 y[1] (analytic) = 1.47092191523017987620231785007 y[1] (numeric) = 1.4709219152301798762023178500709 absolute error = 9e-31 relative error = 6.1186116725928437354694809013503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.567 y[1] (analytic) = 1.471555254141293972607604197102 y[1] (numeric) = 1.4715552541412939726076041971022 absolute error = 2e-31 relative error = 1.3591062886504202398645405669209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.568 y[1] (analytic) = 1.472188692150561594252416030275 y[1] (numeric) = 1.4721886921505615942524160302739 absolute error = 1.1e-30 relative error = 7.4718682860763500544563871698248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=984.2MB, alloc=4.4MB, time=40.16 TOP MAIN SOLVE Loop x[1] = 1.569 y[1] (analytic) = 1.472822229248533332539452621384 y[1] (numeric) = 1.472822229248533332539452621383 absolute error = 1.0e-30 relative error = 6.7896856806012647375006221287831e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (analytic) = 1.473455865425764444743554320063 y[1] (numeric) = 1.4734558654257644447435543200619 absolute error = 1.1e-30 relative error = 7.4654424731082664838909932104555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.571 y[1] (analytic) = 1.474089600672814850677911779696 y[1] (numeric) = 1.4740896006728148506779117796951 absolute error = 9e-31 relative error = 6.1054633286145927644009608034944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.572 y[1] (analytic) = 1.474723434980249129363575563381 y[1] (numeric) = 1.4747234349802491293635755633807 absolute error = 3e-31 relative error = 2.0342797360104193339168312910316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.573 y[1] (analytic) = 1.475357368338636515702261948522 y[1] (numeric) = 1.4753573683386365157022619485218 absolute error = 2e-31 relative error = 1.3556037628036863981630815762347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.4MB, time=40.32 x[1] = 1.574 y[1] (analytic) = 1.47599140073855089715245075509 y[1] (numeric) = 1.4759914007385508971524507550896 absolute error = 4e-31 relative error = 2.7100428891377655675403553155811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.575 y[1] (analytic) = 1.476625532170570810408771029053 y[1] (numeric) = 1.4766255321705708104087710290519 absolute error = 1.1e-30 relative error = 7.4494174456204288557752545094361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.576 y[1] (analytic) = 1.477259762625279438084670418895 y[1] (numeric) = 1.4772597626252794380846704188945 absolute error = 5e-31 relative error = 3.3846450884943625919665477051511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.577 y[1] (analytic) = 1.47789409209326460539836408959 y[1] (numeric) = 1.4778940920932646053983640895889 absolute error = 1.1e-30 relative error = 7.4430231901257437188550919890937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.578 y[1] (analytic) = 1.478528520565118776862059024776 y[1] (numeric) = 1.4785285205651187768620590247738 absolute error = 2.2e-30 relative error = 1.4879658859466048977678053976793e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.579 y[1] (analytic) = 1.479163048031439052974449574318 y[1] (numeric) = 1.4791630480314390529744495743167 absolute error = 1.3e-30 relative error = 8.7887538951849815955582736556096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.4MB, time=40.47 x[1] = 1.58 y[1] (analytic) = 1.479797674482827166916480110816 y[1] (numeric) = 1.4797976744828271669164801108144 absolute error = 1.6e-30 relative error = 1.0812288920234870684599109313904e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.581 y[1] (analytic) = 1.480432399909889481250370664968 y[1] (numeric) = 1.4804323999098894812503706649674 absolute error = 6e-31 relative error = 4.0528699590506167079529197497619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.582 y[1] (analytic) = 1.481067224303236984621901416131 y[1] (numeric) = 1.4810672243032369846219014161312 absolute error = 2e-31 relative error = 1.3503775974388287248004630158774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.583 y[1] (analytic) = 1.481702147653485288465951920702 y[1] (numeric) = 1.4817021476534852884659519207013 absolute error = 7e-31 relative error = 4.7242963176409177856632952675888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.584 y[1] (analytic) = 1.482337169951254623715290967332 y[1] (numeric) = 1.4823371699512546237152909673321 absolute error = 1e-31 relative error = 6.7461035199763906308420028891766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.585 y[1] (analytic) = 1.482972291187169837512612954324 y[1] (numeric) = 1.4829722911871698375126129543231 absolute error = 9e-31 relative error = 6.0688928940103077779938366366945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.4MB, time=40.63 x[1] = 1.586 y[1] (analytic) = 1.483607511351860389925816690825 y[1] (numeric) = 1.4836075113518603899258166908243 absolute error = 7e-31 relative error = 4.7182290103274100374023364714425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.587 y[1] (analytic) = 1.484242830435960350666522529823 y[1] (numeric) = 1.4842428304359603506665225298233 absolute error = 3e-31 relative error = 2.0212326032383951118790858942642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.588 y[1] (analytic) = 1.484878248430108395811823747172 y[1] (numeric) = 1.4848782484301083958118237471718 absolute error = 2e-31 relative error = 1.3469117768507320314376903213887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.589 y[1] (analytic) = 1.485513765324947804529268087199 y[1] (numeric) = 1.4855137653249478045292680871982 absolute error = 8e-31 relative error = 5.3853422208107542300079410824273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = 1.486149381111126455805065401725 y[1] (numeric) = 1.4861493811111264558050654017247 absolute error = 3e-31 relative error = 2.0186396052306909618280000827780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.4MB, time=40.79 x[1] = 1.591 y[1] (analytic) = 1.486785095779296825175517315573 y[1] (numeric) = 1.4867850957792968251755173155715 absolute error = 1.5e-30 relative error = 1.0088882409826529750389421954118e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.592 y[1] (analytic) = 1.487420909320115981461664857884 y[1] (numeric) = 1.4874209093201159814616648578833 absolute error = 7e-31 relative error = 4.7061325789749885454868952222333e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.593 y[1] (analytic) = 1.488056821724245583507150004853 y[1] (numeric) = 1.4880568217242455835071500048527 absolute error = 3e-31 relative error = 2.0160520459990440173955149951000e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.594 y[1] (analytic) = 1.488692832982351876919287085644 y[1] (numeric) = 1.488692832982351876919287085644 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.595 y[1] (analytic) = 1.48932894308510569081334000954 y[1] (numeric) = 1.4893289430851056908133400095402 absolute error = 2e-31 relative error = 1.3428866801292753104064031274791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.596 y[1] (analytic) = 1.489965152023182434560001278541 y[1] (numeric) = 1.489965152023182434560001278541 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.4MB, time=40.94 x[1] = 1.597 y[1] (analytic) = 1.490601459787262094536068755835 y[1] (numeric) = 1.4906014597872620945360687558356 absolute error = 6e-31 relative error = 4.0252207997007577343699834568567e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.598 y[1] (analytic) = 1.491237866368029230878316166758 y[1] (numeric) = 1.4912378663680292308783161667582 absolute error = 2e-31 relative error = 1.3411676601742160278186044741733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.599 y[1] (analytic) = 1.491874371756172974240553315008 y[1] (numeric) = 1.4918743717561729742405533150071 absolute error = 9e-31 relative error = 6.0326795408420155566579925987864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = 1.492510975942387022553872003069 y[1] (numeric) = 1.4925109759423870225538720030695 absolute error = 5e-31 relative error = 3.3500591155404721661938576780668e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.601 y[1] (analytic) = 1.493147678917369637790073651946 y[1] (numeric) = 1.4931476789173696377900736519452 absolute error = 8e-31 relative error = 5.3578089514900004035791053454701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.602 y[1] (analytic) = 1.493784480671823642728274621402 y[1] (numeric) = 1.4937844806718236427282746214014 absolute error = 6e-31 relative error = 4.0166436843027876474323680973423e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.4MB, time=41.10 x[1] = 1.603 y[1] (analytic) = 1.494421381196456417724685238119 y[1] (numeric) = 1.4944213811964564177246852381195 absolute error = 5e-31 relative error = 3.3457765412837737806644124514831e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.604 y[1] (analytic) = 1.495058380481979897485558545212 y[1] (numeric) = 1.4950583804819798974855585452119 absolute error = 1e-31 relative error = 6.6887020136137961978227054195085e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.605 y[1] (analytic) = 1.495695478519110567843304792692 y[1] (numeric) = 1.4956954785191105678433047926924 absolute error = 4e-31 relative error = 2.6743411726833617098370410819167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.606 y[1] (analytic) = 1.496332675298569462535767694581 y[1] (numeric) = 1.4963326752985694625357676945804 absolute error = 6e-31 relative error = 4.0098035009512808532680985597012e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.607 y[1] (analytic) = 1.496969970811082159988658484401 y[1] (numeric) = 1.4969699708110821599886584844013 absolute error = 3e-31 relative error = 2.0040482163944492780475560319077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.4MB, time=41.26 x[1] = 1.608 y[1] (analytic) = 1.497607365047378780101143806921 y[1] (numeric) = 1.4976073650473787801011438069202 absolute error = 8e-31 relative error = 5.3418540711749968394615901387927e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.609 y[1] (analytic) = 1.498244857998193981034583490007 y[1] (numeric) = 1.4982448579981939810345834900074 absolute error = 4e-31 relative error = 2.6697905743820825396825919082689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = 1.498882449654266956004414246585 y[1] (numeric) = 1.4988824496542669560044142465855 absolute error = 5e-31 relative error = 3.3358186301756370082442476469739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.611 y[1] (analytic) = 1.49952014000634143007517536265 y[1] (numeric) = 1.4995201400063414300751753626483 absolute error = 1.7e-30 relative error = 1.1336960102401897356474028717614e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.612 y[1] (analytic) = 1.500157929045165656958672433371 y[1] (numeric) = 1.5001579290451656569586724333709 absolute error = 1e-31 relative error = 6.6659648336924714004713779032094e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.613 y[1] (analytic) = 1.50079581676149241581527521535 y[1] (numeric) = 1.5007958167614924158152752153497 absolute error = 3e-31 relative error = 1.9989394736411117174573167820880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.4MB, time=41.41 x[1] = 1.614 y[1] (analytic) = 1.501433803146079008058345669017 y[1] (numeric) = 1.5014338031460790080583456690167 absolute error = 3e-31 relative error = 1.9980900880970248023112971742389e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.615 y[1] (analytic) = 1.502071888189687254161792271272 y[1] (numeric) = 1.5020718881896872541617922712723 absolute error = 3e-31 relative error = 1.9972412929021868381114634661393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.616 y[1] (analytic) = 1.502710071883083490470746684364 y[1] (numeric) = 1.5027100718830834904707466843635 absolute error = 5e-31 relative error = 3.3273218124733636924707685328208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.617 y[1] (analytic) = 1.503348354217038566015358873013 y[1] (numeric) = 1.5033483542170385660153588730123 absolute error = 7e-31 relative error = 4.6562727662981890861379642753221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.618 y[1] (analytic) = 1.503986735182327839327706767762 y[1] (numeric) = 1.5039867351823278393277067677623 absolute error = 3e-31 relative error = 1.9946984436909351748049110460053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.619 y[1] (analytic) = 1.504625214769731175261816578465 y[1] (numeric) = 1.5046252147697311752618165784652 absolute error = 2e-31 relative error = 1.3292346694496152685673359737380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.4MB, time=41.57 x[1] = 1.62 y[1] (analytic) = 1.505263792970032941816789867771 y[1] (numeric) = 1.5052637929700329418167898677722 absolute error = 1.2e-30 relative error = 7.9720246086055284034086009876284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.621 y[1] (analytic) = 1.505902469774022006963033500427 y[1] (numeric) = 1.5059024697740220069630335004274 absolute error = 4e-31 relative error = 2.6562145160703840438067961902824e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.622 y[1] (analytic) = 1.506541245172491735471588590082 y[1] (numeric) = 1.5065412451724917354715885900823 absolute error = 3e-31 relative error = 1.9913162083103236986756700734863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.623 y[1] (analytic) = 1.507180119156239985746554571261 y[1] (numeric) = 1.5071801191562399857465545712613 absolute error = 3e-31 relative error = 1.9904721153563787587804593754643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.624 y[1] (analytic) = 1.507819091716069106660604530007 y[1] (numeric) = 1.5078190917160691066606045300072 absolute error = 2e-31 relative error = 1.3264190717493656407317921683542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.4MB, time=41.73 x[1] = 1.625 y[1] (analytic) = 1.508458162842785934393587932628 y[1] (numeric) = 1.5084581628427859343935879326282 absolute error = 2e-31 relative error = 1.3258571230314217131688462275728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.626 y[1] (analytic) = 1.509097332527201789274216897845 y[1] (numeric) = 1.509097332527201789274216897844 absolute error = 1.0e-30 relative error = 6.6264778185337809857602220691859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.627 y[1] (analytic) = 1.509736600760132472624832163498 y[1] (numeric) = 1.5097366007601324726248321634991 absolute error = 1.1e-30 relative error = 7.2860391636936171745854253731935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.628 y[1] (analytic) = 1.510375967532398263609244904869 y[1] (numeric) = 1.5103759675323982636092449048688 absolute error = 2e-31 relative error = 1.3241736117316095167958327590061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.629 y[1] (analytic) = 1.51101543283482391608365056743 y[1] (numeric) = 1.5110154328348239160836505674309 absolute error = 9e-31 relative error = 5.9562594824826197629618130081912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = 1.511654996658238655450610882814 y[1] (numeric) = 1.5116549966582386554506108828131 absolute error = 9e-31 relative error = 5.9537394576778275302143727973502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.4MB, time=41.88 x[1] = 1.631 y[1] (analytic) = 1.512294658993476175516100242453 y[1] (numeric) = 1.5122946589934761755161002424525 absolute error = 5e-31 relative error = 3.3062339870510441908756520418586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.632 y[1] (analytic) = 1.51293441983137463534961260932 y[1] (numeric) = 1.5129344198313746353496126093203 absolute error = 3e-31 relative error = 1.9829015459469601440167664646179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.633 y[1] (analytic) = 1.513574279162776656147325153869 y[1] (numeric) = 1.5135742791627766561473251538693 absolute error = 3e-31 relative error = 1.9820632798143409564635060111155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.634 y[1] (analytic) = 1.514214236978529318098314806158 y[1] (numeric) = 1.5142142369785293180983148061582 absolute error = 2e-31 relative error = 1.3208170621819076470566998715947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.635 y[1] (analytic) = 1.514854293269484157253823921891 y[1] (numeric) = 1.5148542932694841572538239218904 absolute error = 6e-31 relative error = 3.9607769715266162273455014582467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.636 y[1] (analytic) = 1.51549444802649716239957126588 y[1] (numeric) = 1.5154944480264971623995712658807 absolute error = 7e-31 relative error = 4.6189545656967070662316891491125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1030.0MB, alloc=4.4MB, time=42.04 x[1] = 1.637 y[1] (analytic) = 1.516134701240428771931104522227 y[1] (numeric) = 1.516134701240428771931104522226 absolute error = 1.0e-30 relative error = 6.5957200186886291285442263155516e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.638 y[1] (analytic) = 1.516775052902143870732190546211 y[1] (numeric) = 1.516775052902143870732190546211 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.639 y[1] (analytic) = 1.517415503002511787056239578722 y[1] (numeric) = 1.5174155030025117870562395787231 absolute error = 1.1e-30 relative error = 7.2491680612424793669023597544128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = 1.518056051532406289410759649683 y[1] (numeric) = 1.518056051532406289410759649683 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.641 y[1] (analytic) = 1.518696698482705583444837402721 y[1] (numeric) = 1.5186966984827055834448374027217 absolute error = 7e-31 relative error = 4.6092152613445045220279080605533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.642 y[1] (analytic) = 1.519337443844292308839641579047 y[1] (numeric) = 1.5193374438442923088396415790468 absolute error = 2e-31 relative error = 1.3163632661744416830842817380413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1033.8MB, alloc=4.4MB, time=42.20 TOP MAIN SOLVE Loop x[1] = 1.643 y[1] (analytic) = 1.519978287608053536201945404142 y[1] (numeric) = 1.5199782876080535362019454041429 absolute error = 9e-31 relative error = 5.9211372118762585849897165838357e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.644 y[1] (analytic) = 1.520619229764880763960664126644 y[1] (numeric) = 1.5206192297648807639606641266438 absolute error = 2e-31 relative error = 1.3152536551239335797369098112691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.645 y[1] (analytic) = 1.521260270305669915266403964396 y[1] (numeric) = 1.5212602703056699152664039643959 absolute error = 1e-31 relative error = 6.5734971163025770031158708177187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.646 y[1] (analytic) = 1.521901409221321334894018718405 y[1] (numeric) = 1.5219014092213213348940187184046 absolute error = 4e-31 relative error = 2.6282911466956287540457834411676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.647 y[1] (analytic) = 1.522542646502739786148170321016 y[1] (numeric) = 1.5225426465027397861481703210167 absolute error = 7e-31 relative error = 4.5975723675648146351689960975905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.4MB, time=42.36 x[1] = 1.648 y[1] (analytic) = 1.523183982140834447771889590344 y[1] (numeric) = 1.5231839821408344477718895903434 absolute error = 6e-31 relative error = 3.9391170537173076870177395475388e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.649 y[1] (analytic) = 1.523825416126518910858133468571 y[1] (numeric) = 1.5238254161265189108581334685708 absolute error = 2e-31 relative error = 1.3124863116431611358126202254395e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = 1.524466948450711175764335027436 y[1] (numeric) = 1.5244669484507111757643350274357 absolute error = 3e-31 relative error = 1.9679009787971113402312794600636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.651 y[1] (analytic) = 1.525108579104333649029942529766 y[1] (numeric) = 1.5251085791043336490299425297655 absolute error = 5e-31 relative error = 3.2784551005125168967938131981026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.652 y[1] (analytic) = 1.525750308078313140296943841594 y[1] (numeric) = 1.525750308078313140296943841594 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.653 y[1] (analytic) = 1.526392135363580859233372494965 y[1] (numeric) = 1.526392135363580859233372494964 absolute error = 1.0e-30 relative error = 6.5513964389092175540873904766379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.4MB, time=42.51 x[1] = 1.654 y[1] (analytic) = 1.527034060951072412459791707122 y[1] (numeric) = 1.527034060951072412459791707121 absolute error = 1.0e-30 relative error = 6.5486424014483127330624632213787e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.655 y[1] (analytic) = 1.527676084831727800478752667384 y[1] (numeric) = 1.5276760848317278004787526673826 absolute error = 1.4e-30 relative error = 9.1642463602106384299307985845010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.656 y[1] (analytic) = 1.528318206996491414607223408539 y[1] (numeric) = 1.5283182069964914146072234085396 absolute error = 6e-31 relative error = 3.9258840027767687905754811611748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.657 y[1] (analytic) = 1.528960427436312033911984585208 y[1] (numeric) = 1.5289604274363120339119845852079 absolute error = 1e-31 relative error = 6.5403916416381837593864031610527e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.658 y[1] (analytic) = 1.529602746142142822147988487099 y[1] (numeric) = 1.5296027461421428221479884870989 absolute error = 1e-31 relative error = 6.5376451665122211187700082589338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.659 y[1] (analytic) = 1.530245163104941324699677620723 y[1] (numeric) = 1.5302451631049413246996776207211 absolute error = 1.9e-30 relative error = 1.2416311097136933649358735183883e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.4MB, time=42.67 x[1] = 1.66 y[1] (analytic) = 1.530887678315669465525259198557 y[1] (numeric) = 1.5308876783156694655252591985555 absolute error = 1.5e-30 relative error = 9.7982368089234798997691089003427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.661 y[1] (analytic) = 1.53153029176529354410393188027 y[1] (numeric) = 1.5315302917652935441039318802694 absolute error = 6e-31 relative error = 3.9176502301395536491004451303035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.662 y[1] (analytic) = 1.532173003444784232386061116047 y[1] (numeric) = 1.5321730034447842323860611160468 absolute error = 2e-31 relative error = 1.3053356216976806355444021979087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.663 y[1] (analytic) = 1.532815813345116571746299447614 y[1] (numeric) = 1.5328158133451165717462994476141 absolute error = 1e-31 relative error = 6.5239410455824152122533123720224e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.664 y[1] (analytic) = 1.533458721457269969939648128034 y[1] (numeric) = 1.5334587214572699699396481280342 absolute error = 2e-31 relative error = 1.3042411719432320333789192637913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.4MB, time=42.83 x[1] = 1.665 y[1] (analytic) = 1.534101727772228198060456426823 y[1] (numeric) = 1.5341017277722281980604564268231 absolute error = 1e-31 relative error = 6.5184725490933833550837704515005e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.666 y[1] (analytic) = 1.534744832280979387504354992418 y[1] (numeric) = 1.5347448322809793875043549924176 absolute error = 4e-31 relative error = 2.6062964447680149746836255654299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.667 y[1] (analytic) = 1.535388034974516026933119649486 y[1] (numeric) = 1.5353880349745160269331196494858 absolute error = 2e-31 relative error = 1.3026023092808558210280500708637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.668 y[1] (analytic) = 1.536031335843834959242462014025 y[1] (numeric) = 1.5360313358438349592424620140247 absolute error = 3e-31 relative error = 1.9530851552269397340400075324845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.669 y[1] (analytic) = 1.536674734879937378532743314635 y[1] (numeric) = 1.5366747348799373785327433146341 absolute error = 9e-31 relative error = 5.8568022208702370759371738852664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = 1.537318232073828827082607813792 y[1] (numeric) = 1.5373182320738288270826078137905 absolute error = 1.5e-30 relative error = 9.7572510928756314888110290029363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.4MB, time=42.98 x[1] = 1.671 y[1] (analytic) = 1.537961827416519192325532228369 y[1] (numeric) = 1.5379618274165191923255322283682 absolute error = 8e-31 relative error = 5.2016895721257693222902282358165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.672 y[1] (analytic) = 1.538605520899022703829287554071 y[1] (numeric) = 1.5386055208990227038292875540707 absolute error = 3e-31 relative error = 1.9498175193385954976883884453680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.673 y[1] (analytic) = 1.539249312512357930278309703841 y[1] (numeric) = 1.5392493125123579302783097038403 absolute error = 7e-31 relative error = 4.5476713506369035292456319508714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.674 y[1] (analytic) = 1.539893202247547776458975375711 y[1] (numeric) = 1.5398932022475477764589753757105 absolute error = 5e-31 relative error = 3.2469784220764536574690985965716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.675 y[1] (analytic) = 1.540537190095619480247779570951 y[1] (numeric) = 1.5405371900956194802477795709506 absolute error = 4e-31 relative error = 2.5964968750619544071776625334981e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.676 y[1] (analytic) = 1.541181276047604609602411188729 y[1] (numeric) = 1.5411812760476046096024111887296 absolute error = 6e-31 relative error = 3.8931176320719001876771786780262e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1056.7MB, alloc=4.4MB, time=43.14 x[1] = 1.677 y[1] (analytic) = 1.541825460094539059555723128893 y[1] (numeric) = 1.5418254600945390595557231288939 absolute error = 9e-31 relative error = 5.8372365957999896705745267945098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.678 y[1] (analytic) = 1.542469742227463049212593339809 y[1] (numeric) = 1.542469742227463049212593339809 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.679 y[1] (analytic) = 1.543114122437421118749673253567 y[1] (numeric) = 1.5431141224374211187496732535665 absolute error = 5e-31 relative error = 3.2402010501350771979235690110559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (analytic) = 1.543758600715462126418020056193 y[1] (numeric) = 1.5437586007154621264180200561934 absolute error = 4e-31 relative error = 2.5910786816968542469507658236470e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.681 y[1] (analytic) = 1.544403177052639245548609245832 y[1] (numeric) = 1.5444031770526392455486092458321 absolute error = 1e-31 relative error = 6.4749931550154802908616239156029e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.682 memory used=1060.5MB, alloc=4.4MB, time=43.30 y[1] (analytic) = 1.545047851440009961560723937177 y[1] (numeric) = 1.5450478514400099615607239371776 absolute error = 6e-31 relative error = 3.8833748704986072127199292437038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.683 y[1] (analytic) = 1.54569262386863606897321737577 y[1] (numeric) = 1.5456926238686360689732173757703 absolute error = 3e-31 relative error = 1.9408774769795118689894016584982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.684 y[1] (analytic) = 1.546337494329583668418645131043 y[1] (numeric) = 1.5463374943295836684186451310423 absolute error = 7e-31 relative error = 4.5268254993938808584684680196395e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.685 y[1] (analytic) = 1.546982462813923163660263442307 y[1] (numeric) = 1.5469824628139231636602634423075 absolute error = 5e-31 relative error = 3.2320986954856117848530207994854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.686 y[1] (analytic) = 1.547627529312729258611890197167 y[1] (numeric) = 1.547627529312729258611890197168 absolute error = 1.0e-30 relative error = 6.4615030494067277229471965047334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.687 y[1] (analytic) = 1.548272693817080954360625027083 y[1] (numeric) = 1.5482726938170809543606250270816 absolute error = 1.4e-30 relative error = 9.0423347617690499971928973898550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.4MB, time=43.45 x[1] = 1.688 y[1] (analytic) = 1.5489179563180615461924250101 y[1] (numeric) = 1.5489179563180615461924250100997 absolute error = 3e-31 relative error = 1.9368359620100930376211461914891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.689 y[1] (analytic) = 1.549563316806758620620532476038 y[1] (numeric) = 1.549563316806758620620532476038 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = 1.550208775274264052416751414589 y[1] (numeric) = 1.5502087752742640524167514145881 absolute error = 9e-31 relative error = 5.8056696256333044698969439266768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.691 y[1] (analytic) = 1.550854331711674001645568992115 y[1] (numeric) = 1.5508543317116740016455689921138 absolute error = 1.2e-30 relative error = 7.7376706210412620537139345448947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.692 y[1] (analytic) = 1.551499986110088910701118688103 y[1] (numeric) = 1.5514999861100889107011186881024 absolute error = 6e-31 relative error = 3.8672253004933390822685330716413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.693 y[1] (analytic) = 1.552145738460613501346981567457 y[1] (numeric) = 1.5521457384606135013469815674572 absolute error = 2e-31 relative error = 1.2885387953218614796501639790550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.4MB, time=43.61 x[1] = 1.694 y[1] (analytic) = 1.552791588754356771758822210028 y[1] (numeric) = 1.5527915887543567717588222100283 absolute error = 3e-31 relative error = 1.9320042829486138909265301265557e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.695 y[1] (analytic) = 1.553437536982431993569855823976 y[1] (numeric) = 1.5534375369824319935698558239743 absolute error = 1.7e-30 relative error = 1.0943471877873294228449289747010e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.696 y[1] (analytic) = 1.554083583135956708919143074741 y[1] (numeric) = 1.5540835831359567089191430747395 absolute error = 1.5e-30 relative error = 9.6519905124612252823772211458765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.697 y[1] (analytic) = 1.554729727206052727502709166611 y[1] (numeric) = 1.554729727206052727502709166611 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.698 y[1] (analytic) = 1.555375969183846123627483718991 y[1] (numeric) = 1.5553759691838461236274837189911 absolute error = 1e-31 relative error = 6.4293136824322348790896683496604e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.699 y[1] (analytic) = 1.556022309060467233268057984684 y[1] (numeric) = 1.5560223090604672332680579846832 absolute error = 8e-31 relative error = 5.1413144615069390622416969417810e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1071.9MB, alloc=4.4MB, time=43.77 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = 1.556668746827050651126255962643 y[1] (numeric) = 1.5566687468270506511262559626425 absolute error = 5e-31 relative error = 3.2119871425384960753585878826629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.701 y[1] (analytic) = 1.557315282474735227693515962787 y[1] (numeric) = 1.5573152824747352276935159627863 absolute error = 7e-31 relative error = 4.4949151137053475919284439521122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.702 y[1] (analytic) = 1.557961915994664066316079185594 y[1] (numeric) = 1.5579619159946640663160791855949 absolute error = 9e-31 relative error = 5.7767779222344126311106700359877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.703 y[1] (analytic) = 1.558608647377984520262981884359 y[1] (numeric) = 1.5586086473779845202629818843586 absolute error = 4e-31 relative error = 2.5663915099721269134574459472650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.704 y[1] (analytic) = 1.559255476615848189796847683045 y[1] (numeric) = 1.559255476615848189796847683045 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.4MB, time=43.92 x[1] = 1.705 y[1] (analytic) = 1.559902403699410919247476627867 y[1] (numeric) = 1.5599024036994109192474766278669 absolute error = 1e-31 relative error = 6.4106574720856534025532034605133e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.706 y[1] (analytic) = 1.560549428619832794088227555732 y[1] (numeric) = 1.560549428619832794088227555732 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.707 y[1] (analytic) = 1.561196551368278138015190367844 y[1] (numeric) = 1.5611965513682781380151903678438 absolute error = 2e-31 relative error = 1.2810686766167538203240610791072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.708 y[1] (analytic) = 1.561843771935915510029144801806 y[1] (numeric) = 1.5618437719359155100291448018054 absolute error = 6e-31 relative error = 3.8416134237055995616720135029003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.709 y[1] (analytic) = 1.562491090313917701520302300651 y[1] (numeric) = 1.56249109031391770152030230065 absolute error = 1.0e-30 relative error = 6.4000364942822907579388820246193e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = 1.563138506493461733355827582284 y[1] (numeric) = 1.5631385064934617333558275822844 absolute error = 4e-31 relative error = 2.5589542982810084881831374380466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1079.5MB, alloc=4.4MB, time=44.07 x[1] = 1.711 y[1] (analytic) = 1.563786020465728852970136517887 y[1] (numeric) = 1.5637860204657288529701365178862 absolute error = 8e-31 relative error = 5.1157894336575724439753684952043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.712 y[1] (analytic) = 1.564433632221904531457966932843 y[1] (numeric) = 1.5644336322219045314579669328424 absolute error = 6e-31 relative error = 3.8352537790167757063055042630976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.713 y[1] (analytic) = 1.565081341753178460670218948853 y[1] (numeric) = 1.5650813417531784606702189488509 absolute error = 2.1e-30 relative error = 1.3417832952040782928004879562416e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.714 y[1] (analytic) = 1.565729149050744550312561490837 y[1] (numeric) = 1.5657291490507445503125614908373 absolute error = 3e-31 relative error = 1.9160402051777675638121917163949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.715 y[1] (analytic) = 1.566377054105800925046801587356 y[1] (numeric) = 1.5663770541058009250468015873557 absolute error = 3e-31 relative error = 1.9152476679458335738858450661057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.716 y[1] (analytic) = 1.567025056909549921595013098153 y[1] (numeric) = 1.5670250569095499215950130981537 absolute error = 7e-31 relative error = 4.4670632222086071076072154600342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1083.4MB, alloc=4.4MB, time=44.23 x[1] = 1.717 y[1] (analytic) = 1.567673157453198085846421507582 y[1] (numeric) = 1.5676731574531980858464215075832 absolute error = 1.2e-30 relative error = 7.6546568032681599261111683553357e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.718 y[1] (analytic) = 1.568321355727956169967041427531 y[1] (numeric) = 1.5683213557279561699670414275308 absolute error = 2e-31 relative error = 1.2752488466062331554935942293069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.719 y[1] (analytic) = 1.568969651725039129512063458525 y[1] (numeric) = 1.5689696517250391295120634585248 absolute error = 2e-31 relative error = 1.2747219156221758759356318467474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = 1.569618045435666120540987062653 y[1] (numeric) = 1.5696180454356661205409870626524 absolute error = 6e-31 relative error = 3.8225860217697922665391818213808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.721 y[1] (analytic) = 1.570266536851060496735496106885 y[1] (numeric) = 1.5702665368510604967354961068856 absolute error = 6e-31 relative error = 3.8210073635219413318574524235911e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.4MB, time=44.39 x[1] = 1.722 y[1] (analytic) = 1.570915125962449806520073740374 y[1] (numeric) = 1.5709151259624498065200737403735 absolute error = 5e-31 relative error = 3.1828581425980342486521546872894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.723 y[1] (analytic) = 1.571563812761065790185353274206 y[1] (numeric) = 1.5715638127610657901853532742054 absolute error = 6e-31 relative error = 3.8178532435527743650945010255855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.724 y[1] (analytic) = 1.572212597238144377014201737092 y[1] (numeric) = 1.5722125972381443770142017370923 absolute error = 3e-31 relative error = 1.9081388899122193286976214555991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.725 y[1] (analytic) = 1.572861479384925682410532785344 y[1] (numeric) = 1.5728614793849256824105327853435 absolute error = 5e-31 relative error = 3.1789194824424536935923654957342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.726 y[1] (analytic) = 1.57351045919265400503084565044 y[1] (numeric) = 1.5735104591926540050308456504401 absolute error = 1e-31 relative error = 6.3552167331196888113760195935974e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.727 y[1] (analytic) = 1.57415953665257782391848681242 y[1] (numeric) = 1.57415953665257782391848681242 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.4MB, time=44.55 x[1] = 1.728 y[1] (analytic) = 1.574808711755949795640631092196 y[1] (numeric) = 1.5748087117559497956406310921958 absolute error = 2e-31 relative error = 1.2699955144202571980880339528240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.729 y[1] (analytic) = 1.575457984494026751427978860826 y[1] (numeric) = 1.5754579844940267514279788608243 absolute error = 1.7e-30 relative error = 1.0790513087189507602441193594594e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = 1.576107354858069694317166068635 y[1] (numeric) = 1.5761073548580696943171660686346 absolute error = 4e-31 relative error = 2.5378981880077608454633801491810e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.731 y[1] (analytic) = 1.576756822839343796295883802002 y[1] (numeric) = 1.5767568228393437962958838020019 absolute error = 1e-31 relative error = 6.3421320619323572512996262287189e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.732 y[1] (analytic) = 1.577406388429118395450704080427 y[1] (numeric) = 1.5774063884291183954507040804268 absolute error = 2e-31 relative error = 1.2679040827213380312729040679498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.733 y[1] (analytic) = 1.578056051618666993117608611441 y[1] (numeric) = 1.5780560516186669931176086114408 absolute error = 2e-31 relative error = 1.2673821046777967230569056751361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.4MB, time=44.70 x[1] = 1.734 y[1] (analytic) = 1.578705812399267251035217225717 y[1] (numeric) = 1.5787058123992672510352172257166 absolute error = 4e-31 relative error = 2.5337209558511261115614350378894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.735 y[1] (analytic) = 1.579355670762200988500712719605 y[1] (numeric) = 1.5793556707622009885007127196046 absolute error = 4e-31 relative error = 2.5326784042695018891541877645155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.736 y[1] (analytic) = 1.580005626698754179528458837158 y[1] (numeric) = 1.5800056266987541795284588371572 absolute error = 8e-31 relative error = 5.0632731079034884105902469271372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.737 y[1] (analytic) = 1.580655680200216950011308128531 y[1] (numeric) = 1.5806556802002169500113081285308 absolute error = 2e-31 relative error = 1.2652977021198354553885194412326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.738 y[1] (analytic) = 1.581305831257883574884596426477 y[1] (numeric) = 1.5813058312578835748845964264757 absolute error = 1.3e-30 relative error = 8.2210536020466526109877608310013e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.4MB, time=44.86 x[1] = 1.739 y[1] (analytic) = 1.581956079863052475292820687439 y[1] (numeric) = 1.5819560798630524752928206874382 absolute error = 8e-31 relative error = 5.0570304080076279973244147934130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = 1.582606426007026215758996948603 y[1] (numeric) = 1.5826064260070262157589969486014 absolute error = 1.6e-30 relative error = 1.0109904608670510749535275410708e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.741 y[1] (analytic) = 1.583256869681111501356695156988 y[1] (numeric) = 1.5832568696811115013566951569881 absolute error = 1e-31 relative error = 6.3160944957807951220503968328106e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.742 y[1] (analytic) = 1.583907410876619174884747631537 y[1] (numeric) = 1.5839074108766191748847476315364 absolute error = 6e-31 relative error = 3.7881002126754863260496256884237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.743 y[1] (analytic) = 1.584558049584864214044627923837 y[1] (numeric) = 1.584558049584864214044627923837 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.744 y[1] (analytic) = 1.585208785797165728620496847994 y[1] (numeric) = 1.5852087857971657286204968479927 absolute error = 1.3e-30 relative error = 8.2008124838032570839360507712069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.4MB, time=45.02 x[1] = 1.745 y[1] (analytic) = 1.585859619504846957661912454822 y[1] (numeric) = 1.585859619504846957661912454822 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.746 y[1] (analytic) = 1.586510550699235266669200730385 y[1] (numeric) = 1.5865105506992352666692007303841 absolute error = 9e-31 relative error = 5.6728270707266076802528792804704e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.747 y[1] (analytic) = 1.587161579371662144781483803547 y[1] (numeric) = 1.5871615793716621447814838035471 absolute error = 1e-31 relative error = 6.3005557404929608242319330353558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.748 y[1] (analytic) = 1.587812705513463201967362452059 y[1] (numeric) = 1.5878127055134632019673624520595 absolute error = 5e-31 relative error = 3.1489860124170700341599134910234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.749 y[1] (analytic) = 1.588463929115978166218249701315 y[1] (numeric) = 1.5884639291159781662182497013144 absolute error = 6e-31 relative error = 3.7772340246587515204715102001711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (analytic) = 1.589115250170550880744352314716 y[1] (numeric) = 1.5891152501705508807443523147166 absolute error = 6e-31 relative error = 3.7756858725986384241258107686363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1106.3MB, alloc=4.4MB, time=45.17 x[1] = 1.751 y[1] (analytic) = 1.589766668668529301173296979277 y[1] (numeric) = 1.5897666686685293011732969792757 absolute error = 1.3e-30 relative error = 8.1773006417903051144232283233503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.752 y[1] (analytic) = 1.590418184601265492751397994754 y[1] (numeric) = 1.5904181846012654927513979947538 absolute error = 2e-31 relative error = 1.2575308930471144990014281238882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.753 y[1] (analytic) = 1.591069797960115627547563279393 y[1] (numeric) = 1.5910697979601156275475632793914 absolute error = 1.6e-30 relative error = 1.0056127028816294780705984437032e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.754 y[1] (analytic) = 1.591721508736439981659835509926 y[1] (numeric) = 1.5917215087364399816598355099254 absolute error = 6e-31 relative error = 3.7695036267763913498806041862591e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.755 y[1] (analytic) = 1.592373316921602932424565218293 y[1] (numeric) = 1.5923733169216029324245652182916 absolute error = 1.4e-30 relative error = 8.7919081858674851307901383609047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.756 y[1] (analytic) = 1.593025222506972955628212672078 memory used=1110.1MB, alloc=4.4MB, time=45.33 y[1] (numeric) = 1.5930252225069729556282126720769 absolute error = 1.1e-30 relative error = 6.9051009642453109604596915978804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.757 y[1] (analytic) = 1.593677225483922622721775370452 y[1] (numeric) = 1.5936772254839226227217753704514 absolute error = 6e-31 relative error = 3.7648777958649000978213017514117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.758 y[1] (analytic) = 1.594329325843828598037837991964 y[1] (numeric) = 1.5943293258438285980378379919643 absolute error = 3e-31 relative error = 1.8816689572038035001779785473718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.759 y[1] (analytic) = 1.594981523578071636010241635238 y[1] (numeric) = 1.5949815235780716360102416352377 absolute error = 3e-31 relative error = 1.8808995312183972746985135621530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = 1.595633818678036578396369198231 y[1] (numeric) = 1.5956338186780365783963691982305 absolute error = 5e-31 relative error = 3.1335510324934325124072690601799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.761 y[1] (analytic) = 1.596286211135112351502043746377 y[1] (numeric) = 1.5962862111351123515020437463771 absolute error = 1e-31 relative error = 6.2645407385239783730348062941741e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.4MB, time=45.48 x[1] = 1.762 y[1] (analytic) = 1.59693870094069196340903672453 y[1] (numeric) = 1.5969387009406919634090367245295 absolute error = 5e-31 relative error = 3.1309905615379615643679325406607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.763 y[1] (analytic) = 1.597591288086172501205182872246 y[1] (numeric) = 1.5975912880861725012051828722463 absolute error = 3e-31 relative error = 1.8778269651143609350888985549623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.764 y[1] (analytic) = 1.598243972562955128217098706581 y[1] (numeric) = 1.5982439725629551282170987065808 absolute error = 2e-31 relative error = 1.2513734037693795381532286562631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.765 y[1] (analytic) = 1.59889675436244508124550144112 y[1] (numeric) = 1.598896754362445081245501441119 absolute error = 1.0e-30 relative error = 6.2543125268819922740674341841961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.766 y[1] (analytic) = 1.599549633476051667803125214612 y[1] (numeric) = 1.5995496334760516678031252146117 absolute error = 3e-31 relative error = 1.8755279218692126728041528589267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.767 y[1] (analytic) = 1.600202609895188263355231507128 y[1] (numeric) = 1.6002026098951882633552315071266 absolute error = 1.4e-30 relative error = 8.7488921174281715341942683737146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.4MB, time=45.64 x[1] = 1.768 y[1] (analytic) = 1.600855683611272308562710626224 y[1] (numeric) = 1.6008556836112723085627106262243 absolute error = 3e-31 relative error = 1.8739977817566188754968693954307e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.769 y[1] (analytic) = 1.601508854615725306527771150229 y[1] (numeric) = 1.6015088546157253065277711502284 absolute error = 6e-31 relative error = 3.7464669537775814797269510531005e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = 1.602162122899972820042214220222 y[1] (numeric) = 1.6021621228999728200422142202214 absolute error = 6e-31 relative error = 3.7449393630276177260474152204543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.771 y[1] (analytic) = 1.60281548845544446883828957695 y[1] (numeric) = 1.6028154884554444688382895769491 absolute error = 9e-31 relative error = 5.6151191854733469016169141895011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.772 y[1] (analytic) = 1.603468951273573926842130243361 y[1] (numeric) = 1.6034689512735739268421302433609 absolute error = 1e-31 relative error = 6.2364787244912870318955860517438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.773 y[1] (analytic) = 1.604122511345798919429762758051 y[1] (numeric) = 1.6041225113457989194297627580507 absolute error = 3e-31 relative error = 1.8701813476098605232146216688354e-29 % Correct digits = 30 h = 0.001 memory used=1121.5MB, alloc=4.4MB, time=45.80 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.774 y[1] (analytic) = 1.604776168663561220685689869391 y[1] (numeric) = 1.6047761686635612206856898693907 absolute error = 3e-31 relative error = 1.8694195854730101262880874562738e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.775 y[1] (analytic) = 1.605429923218306650664042604672 y[1] (numeric) = 1.605429923218306650664042604671 absolute error = 1.0e-30 relative error = 6.2288611015506767749892829162158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.776 y[1] (analytic) = 1.606083775001485072652298633074 y[1] (numeric) = 1.6060837750014850726522986330725 absolute error = 1.5e-30 relative error = 9.3394879105768503152443144617834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.777 y[1] (analytic) = 1.606737724004550390437563845805 y[1] (numeric) = 1.6067377240045503904375638458044 absolute error = 6e-31 relative error = 3.7342746799060078533422912965055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.778 y[1] (analytic) = 1.607391770218960545575414081235 y[1] (numeric) = 1.607391770218960545575414081235 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.4MB, time=45.95 x[1] = 1.779 y[1] (analytic) = 1.608045913636177514661293927336 y[1] (numeric) = 1.6080459136361775146612939273357 absolute error = 3e-31 relative error = 1.8656183723114475156136010063286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = 1.608700154247667306604469538238 y[1] (numeric) = 1.6087001542476673066044695382381 absolute error = 1e-31 relative error = 6.2161988196468157862936279874459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.781 y[1] (analytic) = 1.609354492044899959904532406179 y[1] (numeric) = 1.6093544920448999599045324061794 absolute error = 4e-31 relative error = 2.4854685650502428653769019341560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.782 y[1] (analytic) = 1.610008927019349539930451034579 y[1] (numeric) = 1.6100089270193495399304510345784 absolute error = 6e-31 relative error = 3.7266874110492993018861642591825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.783 y[1] (analytic) = 1.610663459162494136202167462442 y[1] (numeric) = 1.6106634591624941362021674624416 absolute error = 4e-31 relative error = 2.4834486541837255129136075005453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.784 y[1] (analytic) = 1.611318088465815859674735594751 y[1] (numeric) = 1.6113180884658158596747355947512 absolute error = 2e-31 relative error = 1.2412198524403457868898148095944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.4MB, time=46.11 x[1] = 1.785 y[1] (analytic) = 1.61197281492080084002499829793 y[1] (numeric) = 1.6119728149208008400249982979301 absolute error = 1e-31 relative error = 6.2035785637559391540287222032595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.786 y[1] (analytic) = 1.612627638518939222940800223914 y[1] (numeric) = 1.6126276385189392229408002239146 absolute error = 6e-31 relative error = 3.7206357231421927229718037311304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.787 y[1] (analytic) = 1.613282559251725167412733330794 y[1] (numeric) = 1.6132825592517251674127333307941 absolute error = 1e-31 relative error = 6.1985421850950977340492321344768e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.788 y[1] (analytic) = 1.613937577110656843028412072397 y[1] (numeric) = 1.6139375771106568430284120723962 absolute error = 8e-31 relative error = 4.9568212014258676712091404648758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.789 y[1] (analytic) = 1.614592692087236427269275233612 y[1] (numeric) = 1.6145926920872364272692752336113 absolute error = 7e-31 relative error = 4.3354587409601566986810601239608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = 1.615247904172970102809911392653 y[1] (numeric) = 1.6152479041729701028099113926533 absolute error = 3e-31 relative error = 1.8573000418384957835019377021530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1133.0MB, alloc=4.4MB, time=46.27 x[1] = 1.791 y[1] (analytic) = 1.615903213359368054819904995852 y[1] (numeric) = 1.6159032133593680548199049958523 absolute error = 3e-31 relative error = 1.8565468372101172215626712527078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.792 y[1] (analytic) = 1.616558619637944468268200034967 y[1] (numeric) = 1.6165586196379444682682000349658 absolute error = 1.2e-30 relative error = 7.4231765271138773332347397821731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.793 y[1] (analytic) = 1.617214123000217525229978321375 y[1] (numeric) = 1.6172141230002175252299783213757 absolute error = 7e-31 relative error = 4.3284311585244908580462580019785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.794 y[1] (analytic) = 1.617869723437709402196049355917 y[1] (numeric) = 1.617869723437709402196049355916 absolute error = 1.0e-30 relative error = 6.1809673888646795939989075130608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.795 y[1] (analytic) = 1.618525420941946267384748797442 y[1] (numeric) = 1.6185254209419462673847487974418 absolute error = 2e-31 relative error = 1.2356926707002500468600659502362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.4MB, time=46.42 x[1] = 1.796 y[1] (analytic) = 1.619181215504458278056342537612 y[1] (numeric) = 1.6191812155044582780563425376111 absolute error = 9e-31 relative error = 5.5583648783845585959575709175156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.797 y[1] (analytic) = 1.619837107116779577829933393704 y[1] (numeric) = 1.6198371071167795778299333937036 absolute error = 4e-31 relative error = 2.4693841019111969059731270903025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.798 y[1] (analytic) = 1.620493095770448294002867435646 y[1] (numeric) = 1.6204930957704482940028674356458 absolute error = 2e-31 relative error = 1.2341922376714099457575786263379e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.799 y[1] (analytic) = 1.62114918145700653487263696775 y[1] (numeric) = 1.6211491814570065348726369677493 absolute error = 7e-31 relative error = 4.3179246426345264404315334725543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 1.621805364168000387061277189999 y[1] (numeric) = 1.6218053641680003870612771899992 absolute error = 2e-31 relative error = 1.2331936027514723384625960230929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.801 y[1] (analytic) = 1.622461643894979912842253568053 y[1] (numeric) = 1.6224616438949799128422535680536 absolute error = 6e-31 relative error = 3.6980843415170270366421158374594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.4MB, time=46.58 x[1] = 1.802 y[1] (analytic) = 1.623118020629499147469836945429 y[1] (numeric) = 1.6231180206294991474698369454284 absolute error = 6e-31 relative error = 3.6965888639896934060112245958311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.803 y[1] (analytic) = 1.623774494363116096510963435652 y[1] (numeric) = 1.6237744943631160965109634356522 absolute error = 2e-31 relative error = 1.2316981249200177329544690723314e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.804 y[1] (analytic) = 1.624431065087392733179576136475 y[1] (numeric) = 1.624431065087392733179576136475 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.805 y[1] (analytic) = 1.625087732793894995673445712509 y[1] (numeric) = 1.6250877327938949956734457125077 absolute error = 1.3e-30 relative error = 7.9995681080245721229100989917092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.806 y[1] (analytic) = 1.625744497474192784513466896957 y[1] (numeric) = 1.6257444974741927845134668969569 absolute error = 1e-31 relative error = 6.1510280462497711183262218294532e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.807 y[1] (analytic) = 1.626401359119859959885427967398 y[1] (numeric) = 1.6264013591198599598854279673959 absolute error = 2.1e-30 relative error = 1.2911941989131340335494483899515e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.4MB, time=46.73 x[1] = 1.808 y[1] (analytic) = 1.627058317722474338984250254788 y[1] (numeric) = 1.6270583177224743389842502547862 absolute error = 1.8e-30 relative error = 1.1062910163660305540399002766994e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.809 y[1] (analytic) = 1.627715373273617693360694749226 y[1] (numeric) = 1.627715373273617693360694749226 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = 1.628372525764875746270532870161 y[1] (numeric) = 1.6283725257648757462705328701597 absolute error = 1.3e-30 relative error = 7.9834311831647166338534508079399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.811 y[1] (analytic) = 1.629029775187838170026178473033 y[1] (numeric) = 1.6290297751878381700261784730324 absolute error = 6e-31 relative error = 3.6831739305122027919989742332771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.812 y[1] (analytic) = 1.629687121534098583350778168614 y[1] (numeric) = 1.6296871215340985833507781686134 absolute error = 6e-31 relative error = 3.6816882950832471463440471985800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.4MB, time=46.89 x[1] = 1.813 y[1] (analytic) = 1.63034456479525454873475703545 y[1] (numeric) = 1.6303445647952545487347570354508 absolute error = 8e-31 relative error = 4.9069381851833715120558099625020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.814 y[1] (analytic) = 1.631002104962907569794816810144 y[1] (numeric) = 1.6310021049629075697948168101431 absolute error = 9e-31 relative error = 5.5180799415367271982141754441904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.815 y[1] (analytic) = 1.631659742028663088635383644338 y[1] (numeric) = 1.6316597420286630886353836443375 absolute error = 5e-31 relative error = 3.0643643838288472352682468554649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.816 y[1] (analytic) = 1.632317475984130483212502521576 y[1] (numeric) = 1.632317475984130483212502521576 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.817 y[1] (analytic) = 1.632975306820923064700175431316 y[1] (numeric) = 1.6329753068209230647001754313162 absolute error = 2e-31 relative error = 1.2247582628139066870702237157508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.818 y[1] (analytic) = 1.633633234530658074859140401654 y[1] (numeric) = 1.6336332345306580748591404016537 absolute error = 3e-31 relative error = 1.8363975074624986687886067681672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.4MB, time=47.05 x[1] = 1.819 y[1] (analytic) = 1.634291259104956683408088496465 y[1] (numeric) = 1.6342912591049566834080884964637 absolute error = 1.3e-30 relative error = 7.9545184663837941530959154935348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.82 y[1] (analytic) = 1.634949380535443985397315886864 y[1] (numeric) = 1.6349493805354439853973158868639 absolute error = 1e-31 relative error = 6.1163973142245002385322746716067e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.821 y[1] (analytic) = 1.63560759881374899858480811108 y[1] (numeric) = 1.6356075988137489985848081110793 absolute error = 7e-31 relative error = 4.2797551228527330151167383474742e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.822 y[1] (analytic) = 1.636265913931504660814753640959 y[1] (numeric) = 1.6362659139315046608147536409577 absolute error = 1.3e-30 relative error = 7.9449189091548783038951949308442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.823 y[1] (analytic) = 1.63692432588034782739848387755 y[1] (numeric) = 1.6369243258803478273984838775497 absolute error = 3e-31 relative error = 1.8327053685799322522188794673043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.824 y[1] (analytic) = 1.637582834651919268497836702323 y[1] (numeric) = 1.6375828346519192684978367023218 absolute error = 1.2e-30 relative error = 7.3278735866516893469984991846360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.4MB, time=47.20 x[1] = 1.825 y[1] (analytic) = 1.638241440237863666510940714722 y[1] (numeric) = 1.6382414402378636665109407147214 absolute error = 6e-31 relative error = 3.6624638179881671945678995433499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.826 y[1] (analytic) = 1.638900142629829613460417290952 y[1] (numeric) = 1.6389001426298296134604172909521 absolute error = 1e-31 relative error = 6.1016530170982182017355882897653e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.827 y[1] (analytic) = 1.639558941819469608383997602956 y[1] (numeric) = 1.6395589418194696083839976029555 absolute error = 5e-31 relative error = 3.0496006410427333072359021030994e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.828 y[1] (analytic) = 1.640217837798440054727551740721 y[1] (numeric) = 1.6402178377984400547275517407205 absolute error = 5e-31 relative error = 3.0483755783995018439447500995026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.829 y[1] (analytic) = 1.640876830558401257740527085166 y[1] (numeric) = 1.6408768305584012577405270851648 absolute error = 1.2e-30 relative error = 7.3131631677170555751494759923966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1159.7MB, alloc=4.4MB, time=47.36 x[1] = 1.83 y[1] (analytic) = 1.641535920091017421873793082945 y[1] (numeric) = 1.6415359200910174218737930829436 absolute error = 1.4e-30 relative error = 8.5285980213114977075264332216216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.831 y[1] (analytic) = 1.642195106387956648179889578651 y[1] (numeric) = 1.6421951063879566481798895786505 absolute error = 5e-31 relative error = 3.0447052122799264822239949767067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.832 y[1] (analytic) = 1.642854389440890931715675863973 y[1] (numeric) = 1.6428543894408909317156758639735 absolute error = 5e-31 relative error = 3.0434833617248569099984736910966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.833 y[1] (analytic) = 1.643513769241496158947377607463 y[1] (numeric) = 1.6435137692414961589473776074619 absolute error = 1.1e-30 relative error = 6.6929770871811124702070893746317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.834 y[1] (analytic) = 1.644173245781452105158028832647 y[1] (numeric) = 1.6441732457814521051580288326459 absolute error = 1.1e-30 relative error = 6.6902925395625549245790011349538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.835 y[1] (analytic) = 1.64483281905244243185730611633 y[1] (numeric) = 1.6448328190524424318573061163302 absolute error = 2e-31 relative error = 1.2159290456960621503003734787545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.4MB, time=47.52 x[1] = 1.836 y[1] (analytic) = 1.645492489046154684193752182954 y[1] (numeric) = 1.6454924890461546841937521829535 absolute error = 5e-31 relative error = 3.0386039640316791465161372315686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.837 y[1] (analytic) = 1.646152255754280288369386074972 y[1] (numeric) = 1.6461522557542802883693860749721 absolute error = 1e-31 relative error = 6.0747722241633833894542800657983e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.838 y[1] (analytic) = 1.646812119168514549056697083284 y[1] (numeric) = 1.6468121191685145490566970832828 absolute error = 1.2e-30 relative error = 7.2868057383855499893441131663212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.839 y[1] (analytic) = 1.647472079280556646818019625752 y[1] (numeric) = 1.6474720792805566468180196257525 absolute error = 5e-31 relative error = 3.0349528000398505200826896187299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = 1.648132136082109635527286265967 y[1] (numeric) = 1.6481321360821096355272862659653 absolute error = 1.7e-30 relative error = 1.0314706950870996894203643026509e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.841 y[1] (analytic) = 1.648792289564880439794156068337 y[1] (numeric) = 1.6487922895648804397941560683364 absolute error = 6e-31 relative error = 3.6390272067462250916860595953058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.4MB, time=47.67 x[1] = 1.842 y[1] (analytic) = 1.649452539720579852390515489771 y[1] (numeric) = 1.6494525397205798523905154897714 absolute error = 4e-31 relative error = 2.4250470405638994632936261135025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.843 y[1] (analytic) = 1.650112886540922531679349012075 y[1] (numeric) = 1.6501128865409225316793490120743 absolute error = 7e-31 relative error = 4.2421340122213518247660977834541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.844 y[1] (analytic) = 1.650773330017626999045976723327 y[1] (numeric) = 1.6507733300176269990459767233251 absolute error = 1.9e-30 relative error = 1.1509757066281848352355696229462e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.845 y[1] (analytic) = 1.651433870142415636331656060456 y[1] (numeric) = 1.6514338701424156363316560604555 absolute error = 5e-31 relative error = 3.0276719464212104194925586963497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.846 y[1] (analytic) = 1.652094506907014683269544929258 y[1] (numeric) = 1.6520945069070146832695449292581 absolute error = 1e-31 relative error = 6.0529224921409613494203226806155e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.4MB, time=47.83 x[1] = 1.847 y[1] (analytic) = 1.652755240303154234923023422058 y[1] (numeric) = 1.6527552403031542349230234220574 absolute error = 6e-31 relative error = 3.6303016040653779410675083714562e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.848 y[1] (analytic) = 1.653416070322568239126371357264 y[1] (numeric) = 1.6534160703225682391263713572639 absolute error = 1e-31 relative error = 6.0480844353043454171920944440754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.849 y[1] (analytic) = 1.654076996956994493927798869014 y[1] (numeric) = 1.6540769969569944939277988690133 absolute error = 7e-31 relative error = 4.2319674434007003493710554968733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = 1.65473802019817464503482727907 y[1] (numeric) = 1.6547380201981746450348272790703 absolute error = 3e-31 relative error = 1.8129758084852091346137769153137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.851 y[1] (analytic) = 1.655399140037854183262017487147 y[1] (numeric) = 1.6553991400378541832620174871457 absolute error = 1.3e-30 relative error = 7.8530909468170483984460068199525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.852 y[1] (analytic) = 1.656060356467782441981043119738 y[1] (numeric) = 1.6560603564677824419810431197381 absolute error = 1e-31 relative error = 6.0384272595770837658951444709794e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.4MB, time=47.99 x[1] = 1.853 y[1] (analytic) = 1.656721669479712594573105681569 y[1] (numeric) = 1.6567216694797125945731056815683 absolute error = 7e-31 relative error = 4.2252118318693353611909426640995e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.854 y[1] (analytic) = 1.657383079065401651883688957624 y[1] (numeric) = 1.6573830790654016518836889576232 absolute error = 8e-31 relative error = 4.8268864941659716617792725098176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.855 y[1] (analytic) = 1.65804458521661045967964991777 y[1] (numeric) = 1.6580445852166104596796499177688 absolute error = 1.2e-30 relative error = 7.2374410839092692793360737217475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.856 y[1] (analytic) = 1.65870618792510369610864337983 y[1] (numeric) = 1.6587061879251036961086433798291 absolute error = 9e-31 relative error = 5.4259157321033524917195916458657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.857 y[1] (analytic) = 1.659367887182649869160877690955 y[1] (numeric) = 1.6593678871826498691608776909552 absolute error = 2e-31 relative error = 1.2052782360370314240541782593119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.858 y[1] (analytic) = 1.660029682981021314133198691033 y[1] (numeric) = 1.6600296829810213141331986910337 absolute error = 7e-31 relative error = 4.2167920680970312336433281654077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.4MB, time=48.14 x[1] = 1.859 y[1] (analytic) = 1.660691575311994191095499225798 y[1] (numeric) = 1.6606915753119941910954992257982 absolute error = 2e-31 relative error = 1.2043175444087261789776235297294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = 1.661353564167348482359451481218 y[1] (numeric) = 1.6613535641673484823594514812178 absolute error = 2e-31 relative error = 1.2038376677527864221046866867713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.861 y[1] (analytic) = 1.66201564953886798994955941464 y[1] (numeric) = 1.6620156495388679899495594146397 absolute error = 3e-31 relative error = 1.8050371552351871124735383728833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.862 y[1] (analytic) = 1.662677831418340333076528562061 y[1] (numeric) = 1.6626778314183403330765285620591 absolute error = 1.9e-30 relative error = 1.1427349087701572281605262741510e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.863 y[1] (analytic) = 1.66334010979755694561295050478 y[1] (numeric) = 1.6633401097975569456129505047791 absolute error = 9e-31 relative error = 5.4107995995451458196412660212613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.864 y[1] (analytic) = 1.664002484668313073571299282608 y[1] (numeric) = 1.664002484668313073571299282607 absolute error = 1.0e-30 relative error = 6.0096064111306347475521558512214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1182.6MB, alloc=4.4MB, time=48.30 TOP MAIN SOLVE Loop x[1] = 1.865 y[1] (analytic) = 1.66466495602240777258423704461 y[1] (numeric) = 1.6646649560224077725842370446099 absolute error = 1e-31 relative error = 6.0072148235127451655022818492077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.866 y[1] (analytic) = 1.665327523851643905387226232324 y[1] (numeric) = 1.6653275238516439053872262323226 absolute error = 1.4e-30 relative error = 8.4067547070982016007997247391413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.867 y[1] (analytic) = 1.665990188147828139303445594165 y[1] (numeric) = 1.6659901881478281393034455941646 absolute error = 4e-31 relative error = 2.4009745246141079934807644743356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.868 y[1] (analytic) = 1.666652948902770943731007333679 y[1] (numeric) = 1.6666529489027709437310073336794 absolute error = 4e-31 relative error = 2.4000197537425961472218490060500e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.869 y[1] (analytic) = 1.667315806108286587632472698061 y[1] (numeric) = 1.6673158061082865876324726980611 absolute error = 1e-31 relative error = 5.9976640078409557348278403638878e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1186.4MB, alloc=4.5MB, time=48.46 x[1] = 1.87 y[1] (analytic) = 1.667978759756193137026663317276 y[1] (numeric) = 1.6679787597561931370266633172764 absolute error = 4e-31 relative error = 2.3981120722332676354881645875409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.871 y[1] (analytic) = 1.668641809838312452482765607928 y[1] (numeric) = 1.6686418098383124524827656079281 absolute error = 1e-31 relative error = 5.9928979011792692430275718392935e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.872 y[1] (analytic) = 1.669304956346470186616725559838 y[1] (numeric) = 1.6693049563464701866167255598373 absolute error = 7e-31 relative error = 4.1933620177589199460542296294037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.873 y[1] (analytic) = 1.669968199272495781589931227147 y[1] (numeric) = 1.6699681992724957815899312271464 absolute error = 6e-31 relative error = 3.5928827881955101807718034996914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.874 y[1] (analytic) = 1.670631538608222466610180249563 y[1] (numeric) = 1.6706315386082224666101802495631 absolute error = 1e-31 relative error = 5.9857603360767669668247381634423e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.875 y[1] (analytic) = 1.671294974345487255434929733177 y[1] (numeric) = 1.6712949743454872554349297331779 absolute error = 9e-31 relative error = 5.3850458106741935923986130642437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.5MB, time=48.61 x[1] = 1.876 y[1] (analytic) = 1.671958506476130943876825824094 y[1] (numeric) = 1.6719585064761309438768258240919 absolute error = 2.1e-30 relative error = 1.2560120313189003304173403137806e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.877 y[1] (analytic) = 1.672622134991998107311510311893 y[1] (numeric) = 1.6726221349919981073115103118924 absolute error = 6e-31 relative error = 3.5871819907660759525606738111485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.878 y[1] (analytic) = 1.673285859884937098187701603805 y[1] (numeric) = 1.6732858598849370981877016038049 absolute error = 1e-31 relative error = 5.9762651676789083798227382651983e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.879 y[1] (analytic) = 1.673949681146800043539547414139 y[1] (numeric) = 1.6739496811468000435395474141378 absolute error = 1.2e-30 relative error = 7.1686742649151580475671548844039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = 1.674613598769442842501246517416 y[1] (numeric) = 1.6746135987694428425012465174149 absolute error = 1.1e-30 relative error = 6.5686794900525921692021845349015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.881 y[1] (analytic) = 1.675277612744725163823936917365 y[1] (numeric) = 1.6752776127447251638239369173648 absolute error = 2e-31 relative error = 1.1938319862839086746158105414884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.5MB, time=48.77 x[1] = 1.882 y[1] (analytic) = 1.675941723064510443394847787703 y[1] (numeric) = 1.6759417230645104433948477877036 absolute error = 6e-31 relative error = 3.5800767517314488753009091538646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.883 y[1] (analytic) = 1.676605929720665881758712544409 y[1] (numeric) = 1.6766059297206658817587125444086 absolute error = 4e-31 relative error = 2.3857723088611690668541385725405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.884 y[1] (analytic) = 1.677270232705062441641440412935 y[1] (numeric) = 1.6772702327050624416414404129344 absolute error = 6e-31 relative error = 3.5772410927029566818418077489090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.885 y[1] (analytic) = 1.677934632009574845476043857572 y[1] (numeric) = 1.6779346320095748454760438575717 absolute error = 3e-31 relative error = 1.7879123195681683836986443719724e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.886 y[1] (analytic) = 1.678599127626081572930819243892 y[1] (numeric) = 1.678599127626081572930819243891 absolute error = 1.0e-30 relative error = 5.9573485029402221765733853193847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.5MB, time=48.93 x[1] = 1.887 y[1] (analytic) = 1.67926371954646485843977810895 y[1] (numeric) = 1.6792637195464648584397781089497 absolute error = 3e-31 relative error = 1.7864972398797725937804565613132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.888 y[1] (analytic) = 1.679928407762610688735326417669 y[1] (numeric) = 1.6799284077626106887353264176689 absolute error = 1e-31 relative error = 5.9526346204945489753093410334295e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.889 y[1] (analytic) = 1.680593192266408800383189187511 y[1] (numeric) = 1.6805931922664088003831891875115 absolute error = 5e-31 relative error = 2.9751399821256663322183910826833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = 1.681258073049752677319577867309 y[1] (numeric) = 1.6812580730497526773195778673091 absolute error = 1e-31 relative error = 5.9479268294963748350914874798512e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.891 y[1] (analytic) = 1.681923050104539548390597859797 y[1] (numeric) = 1.6819230501045395483905978597957 absolute error = 1.3e-30 relative error = 7.7292477793154615056564747503436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.892 y[1] (analytic) = 1.682588123422670384893893581111 y[1] (numeric) = 1.6825881234226703848938935811114 absolute error = 4e-31 relative error = 2.3772900475865238831132420653148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.5MB, time=49.09 x[1] = 1.893 y[1] (analytic) = 1.683253292996049898122528454238 y[1] (numeric) = 1.6832532929960498981225284542373 absolute error = 7e-31 relative error = 4.1586135783168950243683784257092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.894 y[1] (analytic) = 1.683918558816586536911097237016 y[1] (numeric) = 1.6839185588165865369110972370151 absolute error = 9e-31 relative error = 5.3446765301553313609424799763190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.895 y[1] (analytic) = 1.684583920876192485184068089092 y[1] (numeric) = 1.6845839208761924851840680890905 absolute error = 1.5e-30 relative error = 8.9042758951410033491663696999637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.896 y[1] (analytic) = 1.685249379166783659506351785802 y[1] (numeric) = 1.6852493791667836595063517857999 absolute error = 2.1e-30 relative error = 1.2461063780591785152843451656642e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.897 y[1] (analytic) = 1.685914933680279706636095490694 y[1] (numeric) = 1.6859149336802797066360954906931 absolute error = 9e-31 relative error = 5.3383476355793275582467369071279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.898 y[1] (analytic) = 1.686580584408604001079698502053 y[1] (numeric) = 1.6865805844086040010796985020519 absolute error = 1.1e-30 relative error = 6.5220719968486577139190994612935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.5MB, time=49.24 x[1] = 1.899 y[1] (analytic) = 1.687246331343683642649047392426 y[1] (numeric) = 1.6872463313436836426490473924269 absolute error = 9e-31 relative error = 5.3341351720899045141700404982804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (analytic) = 1.687912174477449454020967963869 y[1] (numeric) = 1.687912174477449454020967963869 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.901 y[1] (analytic) = 1.688578113801835978298891445183 y[1] (numeric) = 1.6885781138018359782988914451816 absolute error = 1.4e-30 relative error = 8.2909993239690762508360240321923e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.902 y[1] (analytic) = 1.689244149308781476576732361162 y[1] (numeric) = 1.6892441493087814765767323611626 absolute error = 6e-31 relative error = 3.5518844344999675234542949479069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.903 y[1] (analytic) = 1.689910280990227925504975507444 y[1] (numeric) = 1.6899102809902279255049755074426 absolute error = 1.4e-30 relative error = 8.2844634756565259302280232107238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1209.3MB, alloc=4.5MB, time=49.40 x[1] = 1.904 y[1] (analytic) = 1.690576508838121014858969468156 y[1] (numeric) = 1.6905765088381210148589694681554 absolute error = 6e-31 relative error = 3.5490851603773954390969148136627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.905 y[1] (analytic) = 1.691242832844410145109424117304 y[1] (numeric) = 1.6912428328444101451094241173031 absolute error = 9e-31 relative error = 5.3215303120388603172551787387386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.906 y[1] (analytic) = 1.691909253001048424995109548297 y[1] (numeric) = 1.6919092530010484249951095482962 absolute error = 8e-31 relative error = 4.7283859851288623704611096040638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.907 y[1] (analytic) = 1.692575769299992669097753879762 y[1] (numeric) = 1.6925757692999926690977538797615 absolute error = 5e-31 relative error = 2.9540775016931005146307646454453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.908 y[1] (analytic) = 1.693242381733203395419137389318 y[1] (numeric) = 1.6932423817332033954191373893183 absolute error = 3e-31 relative error = 1.7717487067204159664859732625001e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.909 y[1] (analytic) = 1.693909090292644822960380430623 y[1] (numeric) = 1.6939090902926448229603804306227 absolute error = 3e-31 relative error = 1.7710513611339738356131068638772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1213.1MB, alloc=4.5MB, time=49.55 x[1] = 1.91 y[1] (analytic) = 1.694575894970284869303422592577 y[1] (numeric) = 1.6945758949702848693034225925759 absolute error = 1.1e-30 relative error = 6.4912997007979331719455766271969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.911 y[1] (analytic) = 1.69524279575809514819469056318 y[1] (numeric) = 1.6952427957580951481946905631799 absolute error = 1e-31 relative error = 5.8988600482611712368514787662789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.912 y[1] (analytic) = 1.695909792648050967130952164108 y[1] (numeric) = 1.6959097926480509671309521641076 absolute error = 4e-31 relative error = 2.3586160168072763915130990706273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.913 y[1] (analytic) = 1.696576885632131324947354025631 y[1] (numeric) = 1.6965768856321313249473540256307 absolute error = 3e-31 relative error = 1.7682664578341366363419142589903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.914 y[1] (analytic) = 1.697244074702318909407640375119 y[1] (numeric) = 1.6972440747023189094076403751188 absolute error = 2e-31 relative error = 1.1783808998424588469388583640420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.915 y[1] (analytic) = 1.697911359850600094796550415891 y[1] (numeric) = 1.6979113598506000947965504158897 absolute error = 1.3e-30 relative error = 7.6564656479734461768373474179283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.5MB, time=49.71 x[1] = 1.916 y[1] (analytic) = 1.698578741068964939514391776749 y[1] (numeric) = 1.698578741068964939514391776748 absolute error = 1.0e-30 relative error = 5.8872749070830296245468095107542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.917 y[1] (analytic) = 1.699246218349407183673787516103 y[1] (numeric) = 1.6992462183494071836737875161031 absolute error = 1e-31 relative error = 5.8849623391915955307641943808267e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.918 y[1] (analytic) = 1.699913791683924246698594168106 y[1] (numeric) = 1.6999137916839242466985941681047 absolute error = 1.3e-30 relative error = 7.6474466314684576986323382195764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.919 y[1] (analytic) = 1.700581461064517224924988321775 y[1] (numeric) = 1.7005814610645172249249883217741 absolute error = 9e-31 relative error = 5.2923074877967019113808981449715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = 1.701249226483190889204719227647 y[1] (numeric) = 1.7012492264831908892047192276466 absolute error = 4e-31 relative error = 2.3512134129040979797681954868908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.5MB, time=49.87 x[1] = 1.921 y[1] (analytic) = 1.701917087931953682510524929968 y[1] (numeric) = 1.7019170879319536825105249299677 absolute error = 3e-31 relative error = 1.7627180673327527417447014827797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.922 y[1] (analytic) = 1.702585045402817717543709426011 y[1] (numeric) = 1.7025850454028177175437094260114 absolute error = 4e-31 relative error = 2.3493686913323220609451919839040e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.923 y[1] (analytic) = 1.703253098887798774343878357605 y[1] (numeric) = 1.7032530988877987743438783576045 absolute error = 5e-31 relative error = 2.9355590213016094563265641132265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.924 y[1] (analytic) = 1.703921248378916297900830743455 y[1] (numeric) = 1.7039212483789162979008307434538 absolute error = 1.2e-30 relative error = 7.0425789991272249443634932690102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.925 y[1] (analytic) = 1.704589493868193395768604264381 y[1] (numeric) = 1.7045894938681933957686042643798 absolute error = 1.2e-30 relative error = 7.0398181164243961486791612073505e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.926 y[1] (analytic) = 1.705257835347656835681671617059 y[1] (numeric) = 1.7052578353476568356816716170584 absolute error = 6e-31 relative error = 3.5185295007172678772814568100275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.5MB, time=50.03 x[1] = 1.927 y[1] (analytic) = 1.70592627280933704317328545537 y[1] (numeric) = 1.7059262728093370431732854553688 absolute error = 1.2e-30 relative error = 7.0343016525786168909608461175999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.928 y[1] (analytic) = 1.706594806245268099195969441933 y[1] (numeric) = 1.7065948062452680991959694419329 absolute error = 1e-31 relative error = 5.8596217235661865232780458442638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.929 y[1] (analytic) = 1.707263435647487737744152935915 y[1] (numeric) = 1.7072634356474877377441529359149 absolute error = 1e-31 relative error = 5.8573268724679578662198006761793e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (analytic) = 1.707932161008037343478946846628 y[1] (numeric) = 1.7079321610080373434789468466268 absolute error = 1.2e-30 relative error = 7.0260401870513926704608638180038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.931 y[1] (analytic) = 1.708600982318961949355058185956 y[1] (numeric) = 1.708600982318961949355058185956 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.932 y[1] (analytic) = 1.709269899572310234249840856098 y[1] (numeric) = 1.7092698995723102342498408560976 absolute error = 4e-31 relative error = 2.3401804483896143188298445659174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.5MB, time=50.18 x[1] = 1.933 y[1] (analytic) = 1.709938912760134520594480212534 y[1] (numeric) = 1.7099389127601345205944802125336 absolute error = 4e-31 relative error = 2.3392648533527518392149373596013e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.934 y[1] (analytic) = 1.710608021874490772007308945654 y[1] (numeric) = 1.7106080218744907720073089456541 absolute error = 1e-31 relative error = 5.8458746083991597281555678765060e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.935 y[1] (analytic) = 1.711277226907438590929251827867 y[1] (numeric) = 1.7112772269074385909292518278658 absolute error = 1.2e-30 relative error = 7.0123062536664428759297602798625e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.936 y[1] (analytic) = 1.711946527851041216261396876474 y[1] (numeric) = 1.7119465278510412162613968764731 absolute error = 9e-31 relative error = 5.2571735469433436518266291568527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.937 y[1] (analytic) = 1.712615924697365521004690486057 y[1] (numeric) = 1.7126159246973655210046904860568 absolute error = 2e-31 relative error = 1.1678041592153347536416773146920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.938 memory used=1232.1MB, alloc=4.5MB, time=50.34 y[1] (analytic) = 1.713285417438482009901754087504 y[1] (numeric) = 1.7132854174384820099017540875043 absolute error = 3e-31 relative error = 1.7510217325524626649692334760177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.939 y[1] (analytic) = 1.713955006066464817080819894271 y[1] (numeric) = 1.7139550060664648170808198942715 absolute error = 5e-31 relative error = 2.9172294385224409321430127660342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = 1.714624690573391703701783299878 y[1] (numeric) = 1.7146246905733917037017832998772 absolute error = 8e-31 relative error = 4.6657440803122350073900181154563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.941 y[1] (analytic) = 1.715294470951344055604369494045 y[1] (numeric) = 1.7152944709513440556043694940432 absolute error = 1.8e-30 relative error = 1.0493824999049149832915897495069e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.942 y[1] (analytic) = 1.715964347192406880958411868303 y[1] (numeric) = 1.7159643471924068809584118683034 absolute error = 4e-31 relative error = 2.3310507625316587031779139472235e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.943 y[1] (analytic) = 1.716634319288668807916239785308 y[1] (numeric) = 1.7166343192886688079162397853072 absolute error = 8e-31 relative error = 4.6602819890697536227351350143904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1236.0MB, alloc=4.5MB, time=50.49 x[1] = 1.944 y[1] (analytic) = 1.717304387232222082267173289442 y[1] (numeric) = 1.7173043872322220822671732894405 absolute error = 1.5e-30 relative error = 8.7346192739747706266044689176970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.945 y[1] (analytic) = 1.717974551015162565094122339779 y[1] (numeric) = 1.717974551015162565094122339778 absolute error = 1.0e-30 relative error = 5.8208079939781026592697876012103e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.946 y[1] (analytic) = 1.718644810629589730432288149769 y[1] (numeric) = 1.7186448106295897304322881497676 absolute error = 1.4e-30 relative error = 8.1459530866481897397188780553496e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.947 y[1] (analytic) = 1.719315166067606662929964221429 y[1] (numeric) = 1.7193151660676066629299642214286 absolute error = 4e-31 relative error = 2.3265077159464273445745019035673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.948 y[1] (analytic) = 1.719985617321320055511434665218 y[1] (numeric) = 1.7199856173213200555114346652176 absolute error = 4e-31 relative error = 2.3256008420753775456291507377152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.949 y[1] (analytic) = 1.720656164382840207041967400089 y[1] (numeric) = 1.7206561643828402070419674000893 absolute error = 3e-31 relative error = 1.7435209091155239625040006422370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.5MB, time=50.65 x[1] = 1.95 y[1] (analytic) = 1.721326807244281019994899831641 y[1] (numeric) = 1.7213268072442810199948998316393 absolute error = 1.7e-30 relative error = 9.8761025090963192124990601218542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.951 y[1] (analytic) = 1.721997545897759998120814609578 y[1] (numeric) = 1.7219975458977599981208146095769 absolute error = 1.1e-30 relative error = 6.3879301258035021543905585959014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.952 y[1] (analytic) = 1.722668380335398244118803069127 y[1] (numeric) = 1.7226683803353982441188030691267 absolute error = 3e-31 relative error = 1.7414843357233440435227529131719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.953 y[1] (analytic) = 1.723339310549320457309813964306 y[1] (numeric) = 1.7233393105493204573098139643062 absolute error = 2e-31 relative error = 1.1605375608605440424514368507475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.954 y[1] (analytic) = 1.724010336531654931312085104368 y[1] (numeric) = 1.7240103365316549313120851043671 absolute error = 9e-31 relative error = 5.2203863337073147700260016178640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.955 y[1] (analytic) = 1.724681458274533551718655508026 y[1] (numeric) = 1.7246814582745335517186555080256 absolute error = 4e-31 relative error = 2.3192688602345273676672977648183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1243.6MB, alloc=4.5MB, time=50.80 TOP MAIN SOLVE Loop x[1] = 1.956 y[1] (analytic) = 1.725352675770091793776955693436 y[1] (numeric) = 1.7253526757700917937769556934352 absolute error = 8e-31 relative error = 4.6367331806114885049097395332438e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.957 y[1] (analytic) = 1.726023989010468720070473725184 y[1] (numeric) = 1.726023989010468720070473725183 absolute error = 1.0e-30 relative error = 5.7936622339374379181296729386502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.958 y[1] (analytic) = 1.72669539798780697820249464291 y[1] (numeric) = 1.7266953979878069782024946429087 absolute error = 1.3e-30 relative error = 7.5288322509861691400338322346229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.959 y[1] (analytic) = 1.727366902694252798481910899461 y[1] (numeric) = 1.7273669026942527984819108994603 absolute error = 7e-31 relative error = 4.0524106309330005785168842755161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = 1.728038503121955991611101439809 y[1] (numeric) = 1.7280385031219559916111014398081 absolute error = 9e-31 relative error = 5.2082172843603744033935756911733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.5MB, time=50.96 x[1] = 1.961 y[1] (analytic) = 1.728710199263069946375877055245 y[1] (numeric) = 1.7287101992630699463758770552438 absolute error = 1.2e-30 relative error = 6.9415914854412656242804532096056e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.962 y[1] (analytic) = 1.729381991109751627337489650687 y[1] (numeric) = 1.729381991109751627337489650687 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.963 y[1] (analytic) = 1.730053878654161572526703066217 y[1] (numeric) = 1.7300538786541615725267030662157 absolute error = 1.3e-30 relative error = 7.5142168463059207058486044820079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.964 y[1] (analytic) = 1.730725861888463891139923097223 y[1] (numeric) = 1.7307258618884638911399230972232 absolute error = 2e-31 relative error = 1.1555845117017667815344560161530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.965 y[1] (analytic) = 1.731397940804826261237384360886 y[1] (numeric) = 1.7313979408048262612373843608862 absolute error = 2e-31 relative error = 1.1551359470084134757306649205489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.966 y[1] (analytic) = 1.732070115395419927443391659904 y[1] (numeric) = 1.7320701153954199274433916599033 absolute error = 7e-31 relative error = 4.0414068332343158078408734540365e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.5MB, time=51.12 x[1] = 1.967 y[1] (analytic) = 1.732742385652419698648613497737 y[1] (numeric) = 1.732742385652419698648613497737 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.968 y[1] (analytic) = 1.733414751568003945714425402855 y[1] (numeric) = 1.7334147515680039457144254028546 absolute error = 4e-31 relative error = 2.3075839157257080655826573799687e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.969 y[1] (analytic) = 1.734087213134354599179300722726 y[1] (numeric) = 1.7340872131343545991793007227248 absolute error = 1.2e-30 relative error = 6.9200671737323151281315390346838e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (analytic) = 1.734759770343657146967246551583 y[1] (numeric) = 1.7347597703436571469672465515818 absolute error = 1.2e-30 relative error = 6.9173843002035904065933064562426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.971 y[1] (analytic) = 1.735432423188100632098282459219 y[1] (numeric) = 1.7354324231881006320982824592177 absolute error = 1.3e-30 relative error = 7.4909283855133733638223998781722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.972 y[1] (analytic) = 1.736105171659877650400959691308 y[1] (numeric) = 1.7361051716598776504009596913072 absolute error = 8e-31 relative error = 4.6080157645929120870349895333830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.5MB, time=51.27 x[1] = 1.973 y[1] (analytic) = 1.73677801575118434822691851501 y[1] (numeric) = 1.7367780157511843482269185150088 absolute error = 1.2e-30 relative error = 6.9093458641056137104530710325695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.974 y[1] (analytic) = 1.73745095545422042016748138682 y[1] (numeric) = 1.7374509554542204201674813868189 absolute error = 1.1e-30 relative error = 6.3311139606379730912581717440749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.975 y[1] (analytic) = 1.738123990761189106772279622884 y[1] (numeric) = 1.7381239907611891067722796228837 absolute error = 3e-31 relative error = 1.7259988447004799013863534149881e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.976 y[1] (analytic) = 1.738797121664297192269911255199 y[1] (numeric) = 1.7387971216642971922699112551965 absolute error = 2.5e-30 relative error = 1.4377755569362308223035952084560e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.977 y[1] (analytic) = 1.739470348155755002290627760326 y[1] (numeric) = 1.7394703481557550022906277603256 absolute error = 4e-31 relative error = 2.2995505524086309394462752614892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.5MB, time=51.43 x[1] = 1.978 y[1] (analytic) = 1.740143670227776401591047350529 y[1] (numeric) = 1.7401436702277764015910473505302 absolute error = 1.2e-30 relative error = 6.8959823291080660941290641134792e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.979 y[1] (analytic) = 1.740817087872578791780892520329 y[1] (numeric) = 1.7408170878725787917808925203281 absolute error = 9e-31 relative error = 5.1699860155892299378567848228070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (analytic) = 1.741490601082383109051749544783 y[1] (numeric) = 1.7414906010823831090517495447818 absolute error = 1.2e-30 relative error = 6.8906487307721776984632121453655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.981 y[1] (analytic) = 1.742164209849413821907847628965 y[1] (numeric) = 1.7421642098494138219078476289651 absolute error = 1e-31 relative error = 5.7399870479857709347930142932026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.982 y[1] (analytic) = 1.742837914165898928898855411265 y[1] (numeric) = 1.7428379141658989288988554112638 absolute error = 1.2e-30 relative error = 6.8853218664014744845860217770496e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.983 y[1] (analytic) = 1.743511714024069956354692526352 y[1] (numeric) = 1.7435117140240699563546925263503 absolute error = 1.7e-30 relative error = 9.7504363539741078117704208876947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1262.7MB, alloc=4.5MB, time=51.59 x[1] = 1.984 y[1] (analytic) = 1.744185609416161956122353936853 y[1] (numeric) = 1.7441856094161619561223539368523 absolute error = 7e-31 relative error = 4.0133343390805392953309410483884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.985 y[1] (analytic) = 1.744859600334413503304744745912 y[1] (numeric) = 1.7448596003344135033047447459119 absolute error = 1e-31 relative error = 5.7311201417486175022548860230792e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.986 y[1] (analytic) = 1.745533686771066694001523206003 y[1] (numeric) = 1.7455336867710666940015232060014 absolute error = 1.6e-30 relative error = 9.1662510562011629386034083133369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.987 y[1] (analytic) = 1.746207868718367143051949642529 y[1] (numeric) = 1.7462078687183671430519496425271 absolute error = 1.9e-30 relative error = 1.0880720640633173346257060848661e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.988 y[1] (analytic) = 1.746882146168563981779739013914 y[1] (numeric) = 1.746882146168563981779739013913 absolute error = 1.0e-30 relative error = 5.7244846321962798724259617506212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.989 y[1] (analytic) = 1.747556519113909855739914833013 y[1] (numeric) = 1.7475565191139098557399148330109 absolute error = 2.1e-30 relative error = 1.2016778725215679544469259180247e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.5MB, time=51.74 x[1] = 1.99 y[1] (analytic) = 1.748230987546660922467662177832 y[1] (numeric) = 1.7482309875466609224676621778328 absolute error = 8e-31 relative error = 4.5760543412095749064607008063051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.991 y[1] (analytic) = 1.748905551459076849229177522747 y[1] (numeric) = 1.7489055514590768492291775227467 absolute error = 3e-31 relative error = 1.7153584980602069261841035695992e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.992 y[1] (analytic) = 1.749580210843420810774513124416 y[1] (numeric) = 1.7495802108434208107745131244153 absolute error = 7e-31 relative error = 4.0009597482961397266924263372437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.993 y[1] (analytic) = 1.750254965691959487092413699895 y[1] (numeric) = 1.750254965691959487092413699893 absolute error = 2.0e-30 relative error = 1.1426906589059750833262908232812e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.994 y[1] (analytic) = 1.750929815996963061167143137426 y[1] (numeric) = 1.7509298159969630611671431374241 absolute error = 1.9e-30 relative error = 1.0851377266187895545557187632954e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.5MB, time=51.90 x[1] = 1.995 y[1] (analytic) = 1.751604761750705216737298983612 y[1] (numeric) = 1.7516047617507052167372989836099 absolute error = 2.1e-30 relative error = 1.1989006000994644848169910281124e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.996 y[1] (analytic) = 1.752279802945463136056612453733 y[1] (numeric) = 1.7522798029454631360566124537318 absolute error = 1.2e-30 relative error = 6.8482213741371762631310301551822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.997 y[1] (analytic) = 1.752954939573517497656731715132 y[1] (numeric) = 1.7529549395735174976567317151306 absolute error = 1.4e-30 relative error = 7.9865144756123101935294886470119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.998 y[1] (analytic) = 1.753630171627152474111986196651 y[1] (numeric) = 1.7536301716271524741119861966515 absolute error = 5e-31 relative error = 2.8512283153526132550604127350542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.999 y[1] (analytic) = 1.754305499098655729806129680269 y[1] (numeric) = 1.7543054990986557298061296802681 absolute error = 9e-31 relative error = 5.1302353008778164311703669448814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 1.754980921980318418701059934097 y[1] (numeric) = 1.7549809219803184187010599340965 absolute error = 5e-31 relative error = 2.8490338198993102733852841534595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.5MB, time=52.06 x[1] = 2.001 y[1] (analytic) = 1.755656440264435182107512649107 y[1] (numeric) = 1.755656440264435182107512649106 absolute error = 1.0e-30 relative error = 5.6958752126320399000649461900998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.002 y[1] (analytic) = 1.75633205394330414645772744492 y[1] (numeric) = 1.7563320539433041464577274449192 absolute error = 8e-31 relative error = 4.5549473301694046442108890405706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.003 y[1] (analytic) = 1.757007763009226921080083713181 y[1] (numeric) = 1.75700776300922692108008371318 absolute error = 1.0e-30 relative error = 5.6914944888308299577637247681304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.004 y[1] (analytic) = 1.757683567454508595975704070047 y[1] (numeric) = 1.7576835674545085959757040700452 absolute error = 1.8e-30 relative error = 1.0240751141610627902564878963637e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.005 y[1] (analytic) = 1.75835946727145773959702319243 y[1] (numeric) = 1.7583594672714577395970231924295 absolute error = 5e-31 relative error = 2.8435596321830442477085648863567e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.006 y[1] (analytic) = 1.759035462452386396628319815703 y[1] (numeric) = 1.7590354624523863966283198157017 absolute error = 1.3e-30 relative error = 7.3904138247877331993277111434306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.5MB, time=52.21 x[1] = 2.007 y[1] (analytic) = 1.759711552989610085768209673596 y[1] (numeric) = 1.7597115529896100857682096735941 absolute error = 1.9e-30 relative error = 1.0797224106257931826174376928318e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.008 y[1] (analytic) = 1.760387738875447797514097164146 y[1] (numeric) = 1.7603877388754477975140971641456 absolute error = 4e-31 relative error = 2.2722266871474789557321865632883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.009 y[1] (analytic) = 1.761064020102221991948583528553 y[1] (numeric) = 1.7610640201022219919485835285516 absolute error = 1.4e-30 relative error = 7.9497393849357968284422480019699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = 1.761740396662258596527829332844 y[1] (numeric) = 1.7617403966622585965278293328434 absolute error = 6e-31 relative error = 3.4057231198009780928689245351299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.011 y[1] (analytic) = 1.762416868547887003871869045364 y[1] (numeric) = 1.7624168685478870038718690453637 absolute error = 3e-31 relative error = 1.7022079472445121807681879807717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.5MB, time=52.37 x[1] = 2.012 y[1] (analytic) = 1.763093435751440069556875506043 y[1] (numeric) = 1.7630934357514400695568755060424 absolute error = 6e-31 relative error = 3.4031094883197538361813145568483e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.013 y[1] (analytic) = 1.763770098265254109909372086512 y[1] (numeric) = 1.7637700982652541099093720865111 absolute error = 9e-31 relative error = 5.1027058508656530707321731959429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.014 y[1] (analytic) = 1.764446856081668899802390343126 y[1] (numeric) = 1.7644468560816688998023903431241 absolute error = 1.9e-30 relative error = 1.0768247246728392875188740282850e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.015 y[1] (analytic) = 1.765123709193027670453570967978 y[1] (numeric) = 1.7651237091930276704535709679775 absolute error = 5e-31 relative error = 2.8326626479261787128881434405302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.016 y[1] (analytic) = 1.765800657591677107225205846036 y[1] (numeric) = 1.7658006575916771072252058460353 absolute error = 7e-31 relative error = 3.9642073808869747432855242237210e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.017 y[1] (analytic) = 1.76647770126996734742621902949 y[1] (numeric) = 1.7664777012699673474262190294891 absolute error = 9e-31 relative error = 5.0948845793692515593577455877334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.5MB, time=52.53 x[1] = 2.018 y[1] (analytic) = 1.767154840220251978116084443484 y[1] (numeric) = 1.767154840220251978116084443483 absolute error = 1.0e-30 relative error = 5.6588136887617811075682768706422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.019 y[1] (analytic) = 1.767832074434888033910678140345 y[1] (numeric) = 1.7678320744348880339106781403428 absolute error = 2.2e-30 relative error = 1.2444620910632931122739167798815e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = 1.768509403906235994790062922447 y[1] (numeric) = 1.7685094039062359947900629224469 absolute error = 1e-31 relative error = 5.6544794039049320408856722983791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.021 y[1] (analytic) = 1.769186828626659783908203156871 y[1] (numeric) = 1.7691868286266597839082031568707 absolute error = 3e-31 relative error = 1.6956942881655778322377294016233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.022 y[1] (analytic) = 1.769864348588526765404607607927 y[1] (numeric) = 1.7698643485885267654046076079262 absolute error = 8e-31 relative error = 4.5201204297832367795796669114261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.023 y[1] (analytic) = 1.770541963784207742217898116704 y[1] (numeric) = 1.7705419637842077422178981167039 absolute error = 1e-31 relative error = 5.6479881327561644345719503711585e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1289.4MB, alloc=4.5MB, time=52.68 x[1] = 2.024 y[1] (analytic) = 1.771219674206076953901301959705 y[1] (numeric) = 1.7712196742060769539013019597034 absolute error = 1.6e-30 relative error = 9.0333233268604943494970541137032e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.025 y[1] (analytic) = 1.771897479846512074440065721616 y[1] (numeric) = 1.7718974798465120744400657216152 absolute error = 8e-31 relative error = 4.5149339005171946169428531971913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.026 y[1] (analytic) = 1.772575380697894210070788520286 y[1] (numeric) = 1.7725753806978942100707885202855 absolute error = 5e-31 relative error = 2.8207545103280243908222450539904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.027 y[1] (analytic) = 1.773253376752607897102672424864 y[1] (numeric) = 1.7732533767526078971026724248625 absolute error = 1.5e-30 relative error = 8.4590280197124343219362021625953e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.028 y[1] (analytic) = 1.773931468003041099740687911084 y[1] (numeric) = 1.773931468003041099740687911083 absolute error = 1.0e-30 relative error = 5.6371963519296770959789636138480e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.029 y[1] (analytic) = 1.774609654441585207910652200615 y[1] (numeric) = 1.774609654441585207910652200614 absolute error = 1.0e-30 relative error = 5.6350420358479853006675926490642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1293.2MB, alloc=4.5MB, time=52.84 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = 1.775287936060635035086218334316 y[1] (numeric) = 1.7752879360606350350862183343155 absolute error = 5e-31 relative error = 2.8164445318628159635013203754593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.031 y[1] (analytic) = 1.775966312852588816117772832238 y[1] (numeric) = 1.7759663128525888161177728322373 absolute error = 7e-31 relative error = 3.9415162040751071216595163193643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.032 y[1] (analytic) = 1.776644784809848205063239796104 y[1] (numeric) = 1.7766447848098482050632397961035 absolute error = 5e-31 relative error = 2.8142935733409101102051544043647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.033 y[1] (analytic) = 1.777323351924818273020789312977 y[1] (numeric) = 1.7773233519248182730207893129765 absolute error = 5e-31 relative error = 2.8132190997125337214875510150785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.034 y[1] (analytic) = 1.778002014189907505963448021724 y[1] (numeric) = 1.7780020141899075059634480217238 absolute error = 2e-31 relative error = 1.1248581182914121267089524968907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.5MB, time=53.00 x[1] = 2.035 y[1] (analytic) = 1.778680771597527802575609706839 y[1] (numeric) = 1.778680771597527802575609706838 absolute error = 1.0e-30 relative error = 5.6221443216134102220771110205629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.036 y[1] (analytic) = 1.779359624140094472091443787086 y[1] (numeric) = 1.7793596241400944720914437870841 absolute error = 1.9e-30 relative error = 1.0677998838588950352463899182550e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.037 y[1] (analytic) = 1.780038571810026232135199569366 y[1] (numeric) = 1.7800385718100262321351995693655 absolute error = 5e-31 relative error = 2.8089278958240589272074729499514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.038 y[1] (analytic) = 1.780717614599745206563404141115 y[1] (numeric) = 1.7807176145997452065634041411138 absolute error = 1.2e-30 relative error = 6.7388562350450267828438723376635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.039 y[1] (analytic) = 1.781396752501676923308951777417 y[1] (numeric) = 1.7813967525016769233089517774153 absolute error = 1.7e-30 relative error = 9.5430734204080665616584924971908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 1.782075985508250312227082741993 y[1] (numeric) = 1.7820759855082503122270827419921 absolute error = 9e-31 relative error = 5.0502897032379843677047661922186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.5MB, time=53.16 x[1] = 2.041 y[1] (analytic) = 1.782755313611897702943249364056 y[1] (numeric) = 1.7827553136118977029432493640547 absolute error = 1.3e-30 relative error = 7.2920831595569565776949369434296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.042 y[1] (analytic) = 1.783434736805054822702867275937 y[1] (numeric) = 1.7834347368050548227028672759359 absolute error = 1.1e-30 relative error = 6.1678735829190015430143805771543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.043 y[1] (analytic) = 1.784114255080160794222949699309 y[1] (numeric) = 1.7841142550801607942229496993088 absolute error = 2e-31 relative error = 1.1210044392084852176833234768183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.044 y[1] (analytic) = 1.784793868429658133545622670674 y[1] (numeric) = 1.7847938684296581335456226706735 absolute error = 5e-31 relative error = 2.8014439585671732134891936257973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.045 y[1] (analytic) = 1.785473576845992747893519099681 y[1] (numeric) = 1.7854735768459927478935190996802 absolute error = 8e-31 relative error = 4.4806039718223427427835540480310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.046 y[1] (analytic) = 1.786153380321613933527049556731 y[1] (numeric) = 1.786153380321613933527049556731 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.5MB, time=53.53 x[1] = 2.047 y[1] (analytic) = 1.786833278848974373603547689176 y[1] (numeric) = 1.7868332788489743736035476891748 absolute error = 1.2e-30 relative error = 6.7157916421447267210333653356944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.048 y[1] (analytic) = 1.787513272420530136038288168275 y[1] (numeric) = 1.7875132724205301360382881682748 absolute error = 2e-31 relative error = 1.1188728111046328860693498849285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.049 y[1] (analytic) = 1.788193361028740671367375071992 y[1] (numeric) = 1.7881933610287406713673750719927 absolute error = 7e-31 relative error = 3.9145654785190161323028274097308e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 1.788873544666068810612498611489 y[1] (numeric) = 1.7888735446660688106124986114886 absolute error = 4e-31 relative error = 2.2360440244235848658595836622620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.051 y[1] (analytic) = 1.78955382332498076314755811209 y[1] (numeric) = 1.7895538233249807631475581120902 absolute error = 2e-31 relative error = 1.1175970087806643584784940511072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.5MB, time=53.89 x[1] = 2.052 y[1] (analytic) = 1.790234196997946114567149162332 y[1] (numeric) = 1.7902341969979461145671491623316 absolute error = 4e-31 relative error = 2.2343445381099426555635133164261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.053 y[1] (analytic) = 1.790914665677437824556912847509 y[1] (numeric) = 1.7909146656774378245569128475076 absolute error = 1.4e-30 relative error = 7.8172345496452281452713428535106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.054 y[1] (analytic) = 1.791595229355932224765744987026 y[1] (numeric) = 1.7915952293559322247657449870265 absolute error = 5e-31 relative error = 2.7908089495178384189043651896475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.055 y[1] (analytic) = 1.79227588802590901667986329768 y[1] (numeric) = 1.7922758880259090166798632976802 absolute error = 2e-31 relative error = 1.1158996298292487757206834185710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.056 y[1] (analytic) = 1.792956641679851269498730407782 y[1] (numeric) = 1.7929566416798512694987304077803 absolute error = 1.7e-30 relative error = 9.4815455124851283263837695358049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.057 y[1] (analytic) = 1.793637490310245418012830649935 y[1] (numeric) = 1.793637490310245418012830649933 absolute error = 2.0e-30 relative error = 1.1150525180280771592470002494625e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1312.3MB, alloc=4.5MB, time=54.27 x[1] = 2.058 y[1] (analytic) = 1.794318433909581260483298563049 y[1] (numeric) = 1.7943184339095812604832985630487 absolute error = 3e-31 relative error = 1.6719440336258480818031425664093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.059 y[1] (analytic) = 1.794999472470351956523397036997 y[1] (numeric) = 1.7949994724703519565233970369965 absolute error = 5e-31 relative error = 2.7855161389650966059505716122130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 1.795680605985054024981843036127 y[1] (numeric) = 1.7956806059850540249818430361266 absolute error = 4e-31 relative error = 2.2275676346160265709403257501100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.061 y[1] (analytic) = 1.796361834446187341827978840692 y[1] (numeric) = 1.7963618344461873418279788406911 absolute error = 9e-31 relative error = 5.0101264831061563192178708768956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.062 y[1] (analytic) = 1.797043157846255138038786747996 y[1] (numeric) = 1.7970431578462551380387867479956 absolute error = 4e-31 relative error = 2.2258786510135764952744078081211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.063 y[1] (analytic) = 1.797724576177763997487745177915 y[1] (numeric) = 1.7977245761777639974877451779132 absolute error = 1.8e-30 relative error = 1.0012657243786886975766533808696e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1316.1MB, alloc=4.5MB, time=54.64 x[1] = 2.064 y[1] (analytic) = 1.798406089433223854835524130186 y[1] (numeric) = 1.7984060894332238548355241301861 absolute error = 1e-31 relative error = 5.5604793927002032535716819250056e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.065 y[1] (analytic) = 1.79908769760514799342251794373 y[1] (numeric) = 1.7990876976051479934225179437288 absolute error = 1.2e-30 relative error = 6.6700472778363034260602989042436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.066 y[1] (analytic) = 1.799769400686053043163213310933 y[1] (numeric) = 1.7997694006860530431632133109324 absolute error = 6e-31 relative error = 3.3337604238147751128921237291908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.067 y[1] (analytic) = 1.800451198668458978442390502751 y[1] (numeric) = 1.8004511986684589784423905027497 absolute error = 1.3e-30 relative error = 7.2204123108775595720078642270885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.068 y[1] (analytic) = 1.801133091544889116013155763117 y[1] (numeric) = 1.8011330915448891160131557631163 absolute error = 7e-31 relative error = 3.8864423916590624899983243664493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.5MB, time=55.01 x[1] = 2.069 y[1] (analytic) = 1.801815079307870112896802834036 y[1] (numeric) = 1.8018150793078701128968028340355 absolute error = 5e-31 relative error = 2.7749795511316545776930853693746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 1.802497161949931964284501575421 y[1] (numeric) = 1.8024971619499319642845015754203 absolute error = 7e-31 relative error = 3.8835012602335732719442460283344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.071 y[1] (analytic) = 1.803179339463608001440811646551 y[1] (numeric) = 1.80317933946360800144081164655 absolute error = 1.0e-30 relative error = 5.5457600811767848523997520216770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.072 y[1] (analytic) = 1.803861611841434889609019218756 y[1] (numeric) = 1.8038616118414348896090192187556 absolute error = 4e-31 relative error = 2.2174650060415014716057428610847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.073 y[1] (analytic) = 1.804543979075952625918294691704 y[1] (numeric) = 1.8045439790759526259182946917034 absolute error = 6e-31 relative error = 3.3249397463133050609055817801841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.074 y[1] (analytic) = 1.805226441159704537292669388395 y[1] (numeric) = 1.8052264411597045372926693883944 absolute error = 6e-31 relative error = 3.3236827597902399562405242380022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.5MB, time=55.38 x[1] = 2.075 y[1] (analytic) = 1.805908998085237278361829206743 y[1] (numeric) = 1.8059089980852372783618292067427 absolute error = 3e-31 relative error = 1.6612132744124035322573569635435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.076 y[1] (analytic) = 1.806591649845100829373723208337 y[1] (numeric) = 1.8065916498451008293737232083367 absolute error = 3e-31 relative error = 1.6605855563747476223730043312186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.077 y[1] (analytic) = 1.807274396431848494108985127724 y[1] (numeric) = 1.8072743964318484941089851277227 absolute error = 1.3e-30 relative error = 7.1931523102779839342724165353330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.078 y[1] (analytic) = 1.807957237838036897797165788283 y[1] (numeric) = 1.8079572378380368977971657882826 absolute error = 4e-31 relative error = 2.2124417084019184764234523610376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.079 y[1] (analytic) = 1.808640174056225985034774413507 y[1] (numeric) = 1.8086401740562259850347744135051 absolute error = 1.9e-30 relative error = 1.0505129916134074948700705191953e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 1.809323205078979017705126825172 y[1] (numeric) = 1.8093232050789790177051268251719 absolute error = 1e-31 relative error = 5.5269285067083902323652052441938e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.5MB, time=55.76 x[1] = 2.081 y[1] (analytic) = 1.810006330898862572899998522701 y[1] (numeric) = 1.8100063308988625728999985227009 absolute error = 1e-31 relative error = 5.5248425540224082017569624087221e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.082 y[1] (analytic) = 1.8106895515084465408430806406 y[1] (numeric) = 1.8106895515084465408430806406004 absolute error = 4e-31 relative error = 2.2091031544682444255984351672606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.083 y[1] (analytic) = 1.811372866900304122815236783702 y[1] (numeric) = 1.8113728669003041228152367837014 absolute error = 6e-31 relative error = 3.3124047012294311308572790171322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.084 y[1] (analytic) = 1.812056277067011829081558742539 y[1] (numeric) = 1.8120562770670118290815587425376 absolute error = 1.4e-30 relative error = 7.7260293607770023143693494538705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.085 y[1] (analytic) = 1.812739782001149476820219093947 y[1] (numeric) = 1.8127397820011494768202190939462 absolute error = 8e-31 relative error = 4.4132092644695581123665746780182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.5MB, time=56.13 x[1] = 2.086 y[1] (analytic) = 1.81342338169530018805311869466 y[1] (numeric) = 1.81342338169530018805311869466 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.087 y[1] (analytic) = 1.814107076142050387578327078354 y[1] (numeric) = 1.8141070761420503875783270783521 absolute error = 1.9e-30 relative error = 1.0473472183574812988068831171597e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.088 y[1] (analytic) = 1.814790865333989800904313769285 y[1] (numeric) = 1.8147908653339898009043137692847 absolute error = 3e-31 relative error = 1.6530830396525536427075556085376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.089 y[1] (analytic) = 1.815474749263711452185968528399 y[1] (numeric) = 1.8154747492637114521859685283976 absolute error = 1.4e-30 relative error = 7.7114815315816843711998757663034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = 1.816158727923811662162408550352 y[1] (numeric) = 1.8161587279238116621624085503511 absolute error = 9e-31 relative error = 4.9555139986517480066247783804112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.091 y[1] (analytic) = 1.816842801306890046096570632715 y[1] (numeric) = 1.8168428013068900460965706327141 absolute error = 9e-31 relative error = 4.9536481601634035303537858397132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.5MB, time=56.50 x[1] = 2.092 y[1] (analytic) = 1.817526969405549511716586341161 y[1] (numeric) = 1.8175269694055495117165863411603 absolute error = 7e-31 relative error = 3.8513871418862406025604872802327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.093 y[1] (analytic) = 1.818211232212396257158938197201 y[1] (numeric) = 1.8182112322123962571589381972012 absolute error = 2e-31 relative error = 1.0999822047993859806709046846452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.094 y[1] (analytic) = 1.818895589720039768913394917649 y[1] (numeric) = 1.8188955897200397689133949176487 absolute error = 3e-31 relative error = 1.6493525065183940046103255992460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.095 y[1] (analytic) = 1.819580041921092819769723737658 y[1] (numeric) = 1.8195800419210928197697237376583 absolute error = 3e-31 relative error = 1.6487320870109306243650319326510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.096 y[1] (analytic) = 1.820264588808171466766177851858 y[1] (numeric) = 1.8202645888081714667661778518576 absolute error = 4e-31 relative error = 2.1974827311336219644055363542026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.097 y[1] (analytic) = 1.820949230373895049139757010717 y[1] (numeric) = 1.8209492303738950491397570107172 absolute error = 2e-31 relative error = 1.0983282601400921546853540900403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1339.0MB, alloc=4.5MB, time=56.87 x[1] = 2.098 y[1] (analytic) = 1.821633966610886186278239311964 y[1] (numeric) = 1.8216339666108861862782393119641 absolute error = 1e-31 relative error = 5.4895770408831371215298903541003e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.099 y[1] (analytic) = 1.822318797511770775673982229483 y[1] (numeric) = 1.8223187975117707756739822294819 absolute error = 1.1e-30 relative error = 6.0362654520271711533259203113495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = 1.82300372306917799087949092478 y[1] (numeric) = 1.8230037230691779908794909247789 absolute error = 1.1e-30 relative error = 6.0339975507458577869660403712989e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.101 y[1] (analytic) = 1.823688743275740279464751888738 y[1] (numeric) = 1.8236887432757402794647518887377 absolute error = 3e-31 relative error = 1.6450175563464573073194676319274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.102 y[1] (analytic) = 1.824373858124093360976329963991 y[1] (numeric) = 1.824373858124093360976329963991 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.103 memory used=1342.8MB, alloc=4.5MB, time=57.24 y[1] (analytic) = 1.825059067606876224898226800891 y[1] (numeric) = 1.825059067606876224898226800891 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.104 y[1] (analytic) = 1.825744371716731128614498802665 y[1] (numeric) = 1.8257443717167311286144988026631 absolute error = 1.9e-30 relative error = 1.0406714266430666672258107860710e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.105 y[1] (analytic) = 1.826429770446303595373632617949 y[1] (numeric) = 1.8264297704463035953736326179491 absolute error = 1e-31 relative error = 5.4751626160563596371946689356544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.106 y[1] (analytic) = 1.827115263788242412254676241561 y[1] (numeric) = 1.8271152637882424122546762415593 absolute error = 1.7e-30 relative error = 9.3042843748965871563780055370677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.107 y[1] (analytic) = 1.82780085173519962813512378686 y[1] (numeric) = 1.8278008517351996281351237868599 absolute error = 1e-31 relative error = 5.4710555531838309620048664243955e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.108 y[1] (analytic) = 1.828486534279830551660551995828 y[1] (numeric) = 1.8284865342798305516605519958278 absolute error = 2e-31 relative error = 1.0938007814138603461709806669502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.5MB, time=57.61 x[1] = 2.109 y[1] (analytic) = 1.829172311414793749216006555404 y[1] (numeric) = 1.8291723114147937492160065554038 absolute error = 2e-31 relative error = 1.0933907032810253220742839828425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = 1.829858183132751042899136291371 y[1] (numeric) = 1.8298581831327510428991362913715 absolute error = 5e-31 relative error = 2.7324521900598370699515174712830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.111 y[1] (analytic) = 1.830544149426367508495073313583 y[1] (numeric) = 1.8305441494263675084950733135819 absolute error = 1.1e-30 relative error = 6.0091421468567361139629948775632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.112 y[1] (analytic) = 1.831230210288311473453057188931 y[1] (numeric) = 1.8312302102883114734530571889298 absolute error = 1.2e-30 relative error = 6.5529718396851387862392171760306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.113 y[1] (analytic) = 1.831916365711254514864801221074 y[1] (numeric) = 1.8319163657112545148648012210736 absolute error = 4e-31 relative error = 2.1835057947347785417384121965030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.114 y[1] (analytic) = 1.83260261568787145744459891847 y[1] (numeric) = 1.8326026156878714574445989184687 absolute error = 1.3e-30 relative error = 7.0937364645855976579939609426531e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.5MB, time=57.98 x[1] = 2.115 y[1] (analytic) = 1.833288960210840371511168734861 y[1] (numeric) = 1.8332889602108403715111687348595 absolute error = 1.5e-30 relative error = 8.1820162154224180030135187139718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.116 y[1] (analytic) = 1.833975399272842570971235168948 y[1] (numeric) = 1.833975399272842570971235168948 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.117 y[1] (analytic) = 1.834661932866562611304844312524 y[1] (numeric) = 1.8346619328665626113048443125236 absolute error = 4e-31 relative error = 2.1802381835819805446144005981889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.118 y[1] (analytic) = 1.835348560984688287552411938902 y[1] (numeric) = 1.8353485609846882875524119389009 absolute error = 1.1e-30 relative error = 5.9934119511872760829633588407190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.119 y[1] (analytic) = 1.836035283619910632303502226074 y[1] (numeric) = 1.8360352836199106323035022260733 absolute error = 7e-31 relative error = 3.8125628970478514076541274034644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = 1.836722100764923913687335211545 y[1] (numeric) = 1.8367221007649239136873352115447 absolute error = 3e-31 relative error = 1.6333445319521204150695281088318e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1354.2MB, alloc=4.5MB, time=58.35 TOP MAIN SOLVE Loop x[1] = 2.121 y[1] (analytic) = 1.837409012412425633365021078352 y[1] (numeric) = 1.8374090124124256333650210783514 absolute error = 6e-31 relative error = 3.2654678187968076465489942439946e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.122 y[1] (analytic) = 1.838096018555116524523519374338 y[1] (numeric) = 1.8380960185551165245235193743357 absolute error = 2.3e-30 relative error = 1.2512948054846314217003206608790e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.123 y[1] (analytic) = 1.838783119185700549871321269275 y[1] (numeric) = 1.838783119185700549871321269274 absolute error = 1.0e-30 relative error = 5.4383792714110129803134109343240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.124 y[1] (analytic) = 1.839470314296884899635852957002 y[1] (numeric) = 1.8394703142968848996358529570015 absolute error = 5e-31 relative error = 2.7181737922806267405117581620398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.125 y[1] (analytic) = 1.840157603881379989562598312213 y[1] (numeric) = 1.8401576038813799895625983122116 absolute error = 1.4e-30 relative error = 7.6080439906181352592314883007627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.5MB, time=58.73 x[1] = 2.126 y[1] (analytic) = 1.840844987931899458915938914139 y[1] (numeric) = 1.8408449879318994589159389141376 absolute error = 1.4e-30 relative error = 7.6052030951983222858073598320445e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.127 y[1] (analytic) = 1.841532466441160168481709551853 y[1] (numeric) = 1.8415324664411601684817095518528 absolute error = 2e-31 relative error = 1.0860519900933840615061449230515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.128 y[1] (analytic) = 1.842220039401882198571467328446 y[1] (numeric) = 1.8422200394018821985714673284466 absolute error = 6e-31 relative error = 3.2569399266485200911785865192834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.129 y[1] (analytic) = 1.842907706806788847028472483855 y[1] (numeric) = 1.8429077068067888470284724838548 absolute error = 2e-31 relative error = 1.0852415411867832453669888835829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = 1.843595468648606627235379058637 y[1] (numeric) = 1.8435954686486066272353790586361 absolute error = 9e-31 relative error = 4.8817650905798683649419650418686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.131 y[1] (analytic) = 1.844283324920065266123633523499 y[1] (numeric) = 1.8442833249200652661236335234986 absolute error = 4e-31 relative error = 2.1688641576658876852649592085818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.5MB, time=59.10 x[1] = 2.132 y[1] (analytic) = 1.844971275613897702184579501888 y[1] (numeric) = 1.8449712756138977021845795018867 absolute error = 1.3e-30 relative error = 7.0461801610837362169403553898151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.133 y[1] (analytic) = 1.845659320722840083482266715443 y[1] (numeric) = 1.8456593207228400834822667154424 absolute error = 6e-31 relative error = 3.2508708040713278963070052497577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.134 y[1] (analytic) = 1.846347460239631765667962284654 y[1] (numeric) = 1.8463474602396317656679622846542 absolute error = 2e-31 relative error = 1.0832197314260806268566548171645e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.135 y[1] (analytic) = 1.847035694157015309996362519503 y[1] (numeric) = 1.8470356941570153099963625195016 absolute error = 1.4e-30 relative error = 7.5797127496172085632339017880446e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.136 y[1] (analytic) = 1.847724022467736481343503337397 y[1] (numeric) = 1.8477240224677364813435033373952 absolute error = 1.8e-30 relative error = 9.7417145532155909334311511167131e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.137 y[1] (analytic) = 1.8484124451645442462263674482 y[1] (numeric) = 1.8484124451645442462263674481992 absolute error = 8e-31 relative error = 4.3280383774346672869031793679598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1365.7MB, alloc=4.5MB, time=59.47 x[1] = 2.138 y[1] (analytic) = 1.849100962240190770824186448608 y[1] (numeric) = 1.8491009622401907708241864486071 absolute error = 9e-31 relative error = 4.8672301749799945388232485407413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.139 y[1] (analytic) = 1.849789573687431419001435970621 y[1] (numeric) = 1.8497895736874314190014359706204 absolute error = 6e-31 relative error = 3.2436121845142647873002208774596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (analytic) = 1.850478279499024750332522031357 y[1] (numeric) = 1.8504782794990247503325220313567 absolute error = 3e-31 relative error = 1.6212024930182819134204436541275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.141 y[1] (analytic) = 1.851167079667732518128156733885 y[1] (numeric) = 1.8511670796677325181281567338843 absolute error = 7e-31 relative error = 3.7813982740317722603769894744642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.142 y[1] (analytic) = 1.851855974186319667463421471249 y[1] (numeric) = 1.8518559741863196674634214712489 absolute error = 1e-31 relative error = 5.3999879792994506577056586399950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.5MB, time=59.85 x[1] = 2.143 y[1] (analytic) = 1.852544963047554333207515788322 y[1] (numeric) = 1.8525449630475543332075157883221 absolute error = 1e-31 relative error = 5.3979796439322928743214835072504e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.144 y[1] (analytic) = 1.853234046244207838055190058562 y[1] (numeric) = 1.853234046244207838055190058561 absolute error = 1.0e-30 relative error = 5.3959725271970646792919994709341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.145 y[1] (analytic) = 1.853923223769054690559860135226 y[1] (numeric) = 1.8539232237690546905598601352252 absolute error = 8e-31 relative error = 4.3151733024498586429176275614268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.146 y[1] (analytic) = 1.85461249561487258316840213905 y[1] (numeric) = 1.8546124956148725831684021390489 absolute error = 1.1e-30 relative error = 5.9311581400475216108412366361017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.147 y[1] (analytic) = 1.855301861774442390257625546816 y[1] (numeric) = 1.8553018617744423902576255468156 absolute error = 4e-31 relative error = 2.1559833913896532597810266024904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.148 y[1] (analytic) = 1.855991322240548166172422747726 y[1] (numeric) = 1.855991322240548166172422747726 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.5MB, time=60.22 x[1] = 2.149 y[1] (analytic) = 1.856680877005977143265593236892 y[1] (numeric) = 1.8566808770059771432655932368922 absolute error = 2e-31 relative error = 1.0771910373877144611993117597297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = 1.857370526063519729939340617729 y[1] (numeric) = 1.8573705260635197299393406177273 absolute error = 1.7e-30 relative error = 9.1527241126354674566188868819711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.151 y[1] (analytic) = 1.858060269405969508688440587433 y[1] (numeric) = 1.8580602694059695086884405874326 absolute error = 4e-31 relative error = 2.1527826980977417723043106797590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.152 y[1] (analytic) = 1.858750107026123234145078082216 y[1] (numeric) = 1.8587501070261232341450780822148 absolute error = 1.2e-30 relative error = 6.4559512086319141096612771668381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.153 y[1] (analytic) = 1.85944003891678083112535176129 y[1] (numeric) = 1.8594400389167808311253517612903 absolute error = 3e-31 relative error = 1.6133889435594028783600697026576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.154 y[1] (analytic) = 1.860130065070745392677444011156 y[1] (numeric) = 1.8601300650707453926774440111556 absolute error = 4e-31 relative error = 2.1503872632948761078433672889288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.5MB, time=60.60 x[1] = 2.155 y[1] (analytic) = 1.860820185480823178131454654022 y[1] (numeric) = 1.8608201854808231781314546540213 absolute error = 7e-31 relative error = 3.7617820650366859557959675788237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.156 y[1] (analytic) = 1.861510400139823611150896546722 y[1] (numeric) = 1.8615104001398236111508965467207 absolute error = 1.3e-30 relative error = 6.9835763469403830010419545829819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.157 y[1] (analytic) = 1.862200709040559277785851258815 y[1] (numeric) = 1.8622007090405592777858512588145 absolute error = 5e-31 relative error = 2.6849952186819291631317906386130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.158 y[1] (analytic) = 1.86289111217584592452778302102 y[1] (numeric) = 1.8628911121758459245277830210202 absolute error = 2e-31 relative error = 1.0736000547364315332037473054008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.159 y[1] (analytic) = 1.863581609538502456366009137497 y[1] (numeric) = 1.8635816095385024563660091374964 absolute error = 6e-31 relative error = 3.2196067879666620149325994745281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.5MB, time=60.97 x[1] = 2.16 y[1] (analytic) = 1.864272201121350934845825057915 y[1] (numeric) = 1.864272201121350934845825057913 absolute error = 2.0e-30 relative error = 1.0728047110271823151054142762694e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.161 y[1] (analytic) = 1.864962886917216576128282307631 y[1] (numeric) = 1.8649628869172165761282823076314 absolute error = 4e-31 relative error = 2.1448147992971589426897532781054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.162 y[1] (analytic) = 1.865653666918927749051617476712 y[1] (numeric) = 1.8656536669189277490516174767127 absolute error = 7e-31 relative error = 3.7520361491102978740845113442930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.163 y[1] (analytic) = 1.866344541119315973194330470858 y[1] (numeric) = 1.8663445411193159731943304708579 absolute error = 1e-31 relative error = 5.3580674841541473792042184596720e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.164 y[1] (analytic) = 1.867035509511215916939910229769 y[1] (numeric) = 1.8670355095112159169399102297682 absolute error = 8e-31 relative error = 4.2848676199492183684555351159579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.165 y[1] (analytic) = 1.867726572087465395543206120796 y[1] (numeric) = 1.8677265720874653955432061207955 absolute error = 5e-31 relative error = 2.6770513814619812787194963320780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.5MB, time=61.34 x[1] = 2.166 y[1] (analytic) = 1.868417728840905369198443218129 y[1] (numeric) = 1.8684177288409053691984432181279 absolute error = 1.1e-30 relative error = 5.8873344168190791639877069510933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.167 y[1] (analytic) = 1.869108979764379941108879680129 y[1] (numeric) = 1.8691089797643799411088796801284 absolute error = 6e-31 relative error = 3.2100856958893646643926535818910e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.168 y[1] (analytic) = 1.869800324850736355558104439815 y[1] (numeric) = 1.8698003248507363555581044398145 absolute error = 5e-31 relative error = 2.6740823250199955299345356636716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.169 y[1] (analytic) = 1.870491764092824995982973425832 y[1] (numeric) = 1.8704917640928249959829734258323 absolute error = 3e-31 relative error = 1.6038563000329372449416334231009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = 1.871183297483499383048182533638 y[1] (numeric) = 1.8711832974834993830481825336387 absolute error = 7e-31 relative error = 3.7409483129814693929786186468579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.171 y[1] (analytic) = 1.871874925015616172722475568966 y[1] (numeric) = 1.8718749250156161727224755689654 absolute error = 6e-31 relative error = 3.2053423654627698055126546331092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.5MB, time=61.71 x[1] = 2.172 y[1] (analytic) = 1.872566646682035154356485387991 y[1] (numeric) = 1.8725666466820351543564853879911 absolute error = 1e-31 relative error = 5.3402638660251734024697348231608e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.173 y[1] (analytic) = 1.873258462475619248762206461 y[1] (numeric) = 1.8732584624756192487622064610003 absolute error = 3e-31 relative error = 1.6014874936346619964583473263666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.174 y[1] (analytic) = 1.873950372389234506294097088654 y[1] (numeric) = 1.8739503723892345062940970886532 absolute error = 8e-31 relative error = 4.2690564904342813111617460183459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.175 y[1] (analytic) = 1.874642376415750104931809502336 y[1] (numeric) = 1.8746423764157501049318095023349 absolute error = 1.1e-30 relative error = 5.8677858445895215479725824630879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.176 y[1] (analytic) = 1.875334474548038348364546082394 y[1] (numeric) = 1.8753344745480383483645460823921 absolute error = 1.9e-30 relative error = 1.0131526006622931212065972827221e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1392.4MB, alloc=4.5MB, time=62.08 x[1] = 2.177 y[1] (analytic) = 1.876026666778974664077039930401 y[1] (numeric) = 1.8760266667789746640770399304004 absolute error = 6e-31 relative error = 3.1982487809203908353442008455982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.178 y[1] (analytic) = 1.876718953101437601437158033941 y[1] (numeric) = 1.8767189531014376014371580339398 absolute error = 1.2e-30 relative error = 6.3941380142023822661214194128744e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.179 y[1] (analytic) = 1.877411333508308829785125264682 y[1] (numeric) = 1.8774113335083088297851252646819 absolute error = 1e-31 relative error = 5.3264832386587609557629537998581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = 1.878103807992473136524367452921 y[1] (numeric) = 1.8781038079924731365243674529204 absolute error = 6e-31 relative error = 3.1947115886067391211910391357418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.181 y[1] (analytic) = 1.878796376546818425213971783997 y[1] (numeric) = 1.8787963765468184252139717839955 absolute error = 1.5e-30 relative error = 7.9838348568510821932777005676258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.182 y[1] (analytic) = 1.879489039164235713662762764383 y[1] (numeric) = 1.8794890391642357136627627643824 absolute error = 6e-31 relative error = 3.1923570050017732340801450415397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1396.2MB, alloc=4.5MB, time=62.45 x[1] = 2.183 y[1] (analytic) = 1.880181795837619132024992007528 y[1] (numeric) = 1.8801817958376191320249920075276 absolute error = 4e-31 relative error = 2.1274538498645573540686377132428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.184 y[1] (analytic) = 1.880874646559865920897640091827 y[1] (numeric) = 1.8808746465598659208976400918267 absolute error = 3e-31 relative error = 1.5950026257661683563845913763361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.185 y[1] (analytic) = 1.881567591323876429419328745448 y[1] (numeric) = 1.8815675913238764294193287454467 absolute error = 1.3e-30 relative error = 6.9091326083338638885113400187336e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.186 y[1] (analytic) = 1.882260630122554113370841614997 y[1] (numeric) = 1.8822606301225541133708416149962 absolute error = 8e-31 relative error = 4.2502084312729419804440519886766e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.187 y[1] (analytic) = 1.882953762948805533277251877349 y[1] (numeric) = 1.8829537629488055332772518773492 absolute error = 2e-31 relative error = 1.0621609724860656414111532656739e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.188 y[1] (analytic) = 1.883646989795540352511654956225 y[1] (numeric) = 1.8836469897955403525116549562238 absolute error = 1.2e-30 relative error = 6.3706204320707325356240079607690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.5MB, time=62.82 x[1] = 2.189 y[1] (analytic) = 1.884340310655671335400504607409 y[1] (numeric) = 1.8843403106556713354005046074088 absolute error = 2e-31 relative error = 1.0613794061987051305881687524714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = 1.885033725522114345330550638822 y[1] (numeric) = 1.885033725522114345330550638822 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.191 y[1] (analytic) = 1.885727234387788342857376533868 y[1] (numeric) = 1.8857272343877883428573765338683 absolute error = 3e-31 relative error = 1.5908981666555642672007993558435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.192 y[1] (analytic) = 1.886420837245615383815535248848 y[1] (numeric) = 1.8864208372456153838155352488485 absolute error = 5e-31 relative error = 2.6505220369069698802280354097638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.193 y[1] (analytic) = 1.887114534088520617430281457448 y[1] (numeric) = 1.8871145340885206174302814574477 absolute error = 3e-31 relative error = 1.5897286284475599509442533336997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.194 y[1] (analytic) = 1.887808324909432284430898517608 y[1] (numeric) = 1.8878083249094322844308985176075 memory used=1403.8MB, alloc=4.5MB, time=63.19 absolute error = 5e-31 relative error = 2.6485739754537184247625440160297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.195 y[1] (analytic) = 1.888502209701281715165618438357 y[1] (numeric) = 1.888502209701281715165618438357 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.196 y[1] (analytic) = 1.889196188457003327718133126447 y[1] (numeric) = 1.8891961884570033277181331264467 absolute error = 3e-31 relative error = 1.5879769493131590258238426579878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.197 y[1] (analytic) = 1.889890261169534626025695194892 y[1] (numeric) = 1.8898902611695346260256951948921 absolute error = 1e-31 relative error = 5.2913125198135191145727249931238e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.198 y[1] (analytic) = 1.890584427831816197998806617796 y[1] (numeric) = 1.8905844278318161979988066177961 absolute error = 1e-31 relative error = 5.2893697064184146064570172218748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.199 y[1] (analytic) = 1.891278688436791713642493518076 y[1] (numeric) = 1.8912786884367917136424935180756 absolute error = 4e-31 relative error = 2.1149712226208928207236587724905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.5MB, time=63.56 x[1] = 2.2 y[1] (analytic) = 1.891973042977407923179165376974 y[1] (numeric) = 1.8919730429774079231791653769724 absolute error = 1.6e-30 relative error = 8.4567801107888492393915403245109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.201 y[1] (analytic) = 1.892667491446614655173056956479 y[1] (numeric) = 1.8926674914466146551730569564778 absolute error = 1.2e-30 relative error = 6.3402578922238950781218718480161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.202 y[1] (analytic) = 1.893362033837364814656251228049 y[1] (numeric) = 1.8933620338373648146562512280479 absolute error = 1.1e-30 relative error = 5.8097710862543223455265103028525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.203 y[1] (analytic) = 1.89405667014261438125628160323 y[1] (numeric) = 1.8940566701426143812562816032298 absolute error = 2e-31 relative error = 1.0559346145907073299412187544816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.204 y[1] (analytic) = 1.894751400355322407325311764059 y[1] (numeric) = 1.8947514003553224073253117640589 absolute error = 1e-31 relative error = 5.2777372261736825757540296314560e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.205 y[1] (analytic) = 1.895446224468451016070891393323 y[1] (numeric) = 1.8954462244684510160708913933228 absolute error = 2e-31 relative error = 1.0551605074213432225448324978507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.5MB, time=63.93 x[1] = 2.206 y[1] (analytic) = 1.896141142474965399688286107022 y[1] (numeric) = 1.896141142474965399688286107022 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.207 y[1] (analytic) = 1.896836154367833817494379893587 y[1] (numeric) = 1.8968361543678338174943798935858 absolute error = 1.2e-30 relative error = 6.3263239538995860521387847105513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.208 y[1] (analytic) = 1.897531260140027594063148366627 y[1] (numeric) = 1.8975312601400275940631483666279 absolute error = 9e-31 relative error = 4.7430048658781244215187688290511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.209 y[1] (analytic) = 1.89822645978452111736270114025 y[1] (numeric) = 1.8982264597845211173627011402492 absolute error = 8e-31 relative error = 4.2144602709352851345778959694192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = 1.898921753294291836893891638115 y[1] (numeric) = 1.8989217532942918368938916381144 absolute error = 6e-31 relative error = 3.1596878542209894087036592735448e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.211 y[1] (analytic) = 1.899617140662320261830492649744 y[1] (numeric) = 1.8996171406623202618304926497442 absolute error = 2e-31 relative error = 1.0528437321336657678644852724772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1415.3MB, alloc=4.5MB, time=64.30 TOP MAIN SOLVE Loop x[1] = 2.212 y[1] (analytic) = 1.900312621881589959160935949678 y[1] (numeric) = 1.9003126218815899591609359496775 absolute error = 5e-31 relative error = 2.6311460243048125731974819610111e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.213 y[1] (analytic) = 1.901008196945087551831614297367 y[1] (numeric) = 1.9010081969450875518316142973666 absolute error = 4e-31 relative error = 2.1041466346268173629619695518670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.214 y[1] (analytic) = 1.901703865845802716891744137874 y[1] (numeric) = 1.9017038658458027168917441378743 absolute error = 3e-31 relative error = 1.5775326820749341914575646212924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.215 y[1] (analytic) = 1.902399628576728183639787325643 y[1] (numeric) = 1.9023996285767281836397873256434 absolute error = 4e-31 relative error = 2.1026076434805562908091176589914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.216 y[1] (analytic) = 1.903095485130859731771430195808 y[1] (numeric) = 1.9030954851308597317714301958072 absolute error = 8e-31 relative error = 4.2036776727731598119404683432205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1419.1MB, alloc=4.5MB, time=64.67 x[1] = 2.217 y[1] (analytic) = 1.903791435501196189529118309707 y[1] (numeric) = 1.9037914355011961895291183097058 absolute error = 1.2e-30 relative error = 6.3032114633086656537003691523061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.218 y[1] (analytic) = 1.904487479680739431853145203464 y[1] (numeric) = 1.9044874796807394318531452034645 absolute error = 5e-31 relative error = 2.6253782465601610311437649593806e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.219 y[1] (analytic) = 1.905183617662494378534293470679 y[1] (numeric) = 1.9051836176624943785342934706781 absolute error = 9e-31 relative error = 4.7239541199930478674962753191675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (analytic) = 1.905879849439468992368026512432 y[1] (numeric) = 1.9058798494394689923680265124314 absolute error = 6e-31 relative error = 3.1481522834530397976676392339038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.221 y[1] (analytic) = 1.906576175004674277310229290068 y[1] (numeric) = 1.9065761750046742773102292900663 absolute error = 1.7e-30 relative error = 8.9165070994125486610461381344730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.222 y[1] (analytic) = 1.907272594351124276634496418286 y[1] (numeric) = 1.9072725943511242766344964182859 absolute error = 1e-31 relative error = 5.2430890212639547632898163869367e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.5MB, time=65.04 x[1] = 2.223 y[1] (analytic) = 1.907969107471836071090965938359 y[1] (numeric) = 1.9079691074718360710909659383589 absolute error = 1e-31 relative error = 5.2411750068902056792310311874060e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.224 y[1] (analytic) = 1.908665714359829777066697113362 y[1] (numeric) = 1.9086657143598297770666971133612 absolute error = 8e-31 relative error = 4.1914097056451897789067220560181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.225 y[1] (analytic) = 1.90936241500812854474759058956 y[1] (numeric) = 1.9093624150081285447475905895583 absolute error = 1.7e-30 relative error = 8.9034956728880763775864678287648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.226 y[1] (analytic) = 1.910059209409758556281849270198 y[1] (numeric) = 1.9100592094097585562818492701974 absolute error = 6e-31 relative error = 3.1412638783350093773523038162958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.227 y[1] (analytic) = 1.91075609755774902394497825014 y[1] (numeric) = 1.9107560975577490239449782501401 absolute error = 1e-31 relative error = 5.2335303353377202719342948169796e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.228 y[1] (analytic) = 1.911453079445132188306322161924 y[1] (numeric) = 1.9114530794451321883063221619242 absolute error = 2e-31 relative error = 1.0463244018422736963922330869749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.5MB, time=65.41 x[1] = 2.229 y[1] (analytic) = 1.912150155064943316397138285999 y[1] (numeric) = 1.912150155064943316397138285998 absolute error = 1.0e-30 relative error = 5.2297148179037043123394654611878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = 1.912847324410220699880203780022 y[1] (numeric) = 1.9128473244102206998802037800226 absolute error = 6e-31 relative error = 3.1366852562840853151452176013421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.231 y[1] (analytic) = 1.913544587474005653220955384285 y[1] (numeric) = 1.913544587474005653220955384285 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.232 y[1] (analytic) = 1.914241944249342511860159962411 y[1] (numeric) = 1.9142419442493425118601599624104 absolute error = 6e-31 relative error = 3.1344000260911955152101036537636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.233 y[1] (analytic) = 1.914939394729278630388114238704 y[1] (numeric) = 1.914939394729278630388114238704 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.5MB, time=65.77 x[1] = 2.234 y[1] (analytic) = 1.91563693890686438072037209559 y[1] (numeric) = 1.9156369389068643807203720955895 absolute error = 5e-31 relative error = 2.6100979253684630930264515151028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.235 y[1] (analytic) = 1.916334576775153150274997796749 y[1] (numeric) = 1.9163345767751531502749977967483 absolute error = 7e-31 relative error = 3.6528068140270904816993307759263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.236 y[1] (analytic) = 1.917032308327201340151343503693 y[1] (numeric) = 1.9170323083272013401513435036938 absolute error = 8e-31 relative error = 4.1731169397874073516622688345544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.237 y[1] (analytic) = 1.917730133556068363310349455645 y[1] (numeric) = 1.9177301335560683633103494556441 absolute error = 9e-31 relative error = 4.6930482253575479248043333914202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.238 y[1] (analytic) = 1.918428052454816642756365184683 y[1] (numeric) = 1.9184280524548166427563651846821 absolute error = 9e-31 relative error = 4.6913409071993178290754089268313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.239 y[1] (analytic) = 1.919126065016511609720490140312 y[1] (numeric) = 1.9191260650165116097204901403125 absolute error = 5e-31 relative error = 2.6053525566372740789180642734323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.5MB, time=66.15 x[1] = 2.24 y[1] (analytic) = 1.919824171234221701845432099646 y[1] (numeric) = 1.9198241712342217018454320996455 absolute error = 5e-31 relative error = 2.6044051715348424938796463761247e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.241 y[1] (analytic) = 1.920522371101018361371881741552 y[1] (numeric) = 1.9205223711010183613718817415514 absolute error = 6e-31 relative error = 3.1241500178726132029599636243622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.242 y[1] (analytic) = 1.921220664609976033326401765244 y[1] (numeric) = 1.9212206646099760333264017652425 absolute error = 1.5e-30 relative error = 7.8075362587488752946477291728197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.243 y[1] (analytic) = 1.92191905175417216371082893585 y[1] (numeric) = 1.9219190517541721637108289358478 absolute error = 2.2e-30 relative error = 1.1446892094607304364165765536021e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.244 y[1] (analytic) = 1.922617532526687197693187441651 y[1] (numeric) = 1.9226175325266871976931874416512 absolute error = 2e-31 relative error = 1.0402484977714821097367326754594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.245 y[1] (analytic) = 1.923316106920604577800111949768 y[1] (numeric) = 1.9233161069206045778001119497677 absolute error = 3e-31 relative error = 1.5598059981950962030687228478000e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.5MB, time=66.51 x[1] = 2.246 y[1] (analytic) = 1.92401477492901074211077874913 y[1] (numeric) = 1.9240147749290107421107787491292 absolute error = 8e-31 relative error = 4.1579722277835269548667289214751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.247 y[1] (analytic) = 1.92471353654499512245234337175 y[1] (numeric) = 1.9247135365449951224523433717485 absolute error = 1.5e-30 relative error = 7.7933675402554308752377233702486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.248 y[1] (analytic) = 1.925412391761650142596883085325 y[1] (numeric) = 1.925412391761650142596883085324 absolute error = 1.0e-30 relative error = 5.1936925527162161732547633899813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.249 y[1] (analytic) = 1.926111340572071216459842652335 y[1] (numeric) = 1.9261113405720712164598426523346 absolute error = 4e-31 relative error = 2.0767231445779071444701670123388e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = 1.926810382969356746299981752862 y[1] (numeric) = 1.9268103829693567462999817528625 absolute error = 5e-31 relative error = 2.5949621427172463411420321049979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1442.0MB, alloc=4.5MB, time=66.88 x[1] = 2.251 y[1] (analytic) = 1.927509518946608120920822470465 y[1] (numeric) = 1.9275095189466081209208224704647 absolute error = 3e-31 relative error = 1.5564125471294753126008565479063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.252 y[1] (analytic) = 1.928208748496929713873595242494 y[1] (numeric) = 1.9282087484969297138735952424928 absolute error = 1.2e-30 relative error = 6.2233925706198545420969209856671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.253 y[1] (analytic) = 1.92890807161342888166168167834 y[1] (numeric) = 1.9289080716134288816616816783382 absolute error = 1.8e-30 relative error = 9.3317044315875346796316555501930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.254 y[1] (analytic) = 1.929607488289215961946552651153 y[1] (numeric) = 1.9296074882892159619465526511532 absolute error = 2e-31 relative error = 1.0364802231220577514835890520981e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.255 y[1] (analytic) = 1.930306998517404271755200070671 y[1] (numeric) = 1.9303069985174042717552000706693 absolute error = 1.7e-30 relative error = 8.8068892736010678177957662665515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.256 y[1] (analytic) = 1.931006602291110105689060746801 y[1] (numeric) = 1.9310066022911101056890607468002 absolute error = 8e-31 relative error = 4.1429169587033628413720265084295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1445.8MB, alloc=4.5MB, time=67.25 x[1] = 2.257 y[1] (analytic) = 1.931706299603452734134430755782 y[1] (numeric) = 1.9317062996034527341344307557819 absolute error = 1e-31 relative error = 5.1767704034784346613733014159957e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.258 y[1] (analytic) = 1.932406090447554401474368722665 y[1] (numeric) = 1.9324060904475544014743687226632 absolute error = 1.8e-30 relative error = 9.3148122897041349941281606019719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.259 y[1] (analytic) = 1.933105974816540324302086436016 y[1] (numeric) = 1.9331059748165403243020864360166 absolute error = 6e-31 relative error = 3.1038132819228519420040813757667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (analytic) = 1.933805952703538689635825212796 y[1] (numeric) = 1.9338059527035386896358252127957 absolute error = 3e-31 relative error = 1.5513448988022190360511750812342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.261 y[1] (analytic) = 1.934506024101680653135216433315 y[1] (numeric) = 1.9345060241016806531352164333153 absolute error = 3e-31 relative error = 1.5507834881998358264344859370452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.262 y[1] (analytic) = 1.93520618900410033731912466838 y[1] (numeric) = 1.9352061890041003373191246683794 absolute error = 6e-31 relative error = 3.1004448177626653561760808639717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.5MB, time=67.62 x[1] = 2.263 y[1] (analytic) = 1.935906447403934829784971822628 y[1] (numeric) = 1.9359064474039348297849718226271 absolute error = 9e-31 relative error = 4.6489849817221632728697491849360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.264 y[1] (analytic) = 1.936606799294324181429540720209 y[1] (numeric) = 1.9366067992943241814295407202086 absolute error = 4e-31 relative error = 2.0654683240075120309788004788325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.265 y[1] (analytic) = 1.937307244668411404671256560944 y[1] (numeric) = 1.9373072446684114046712565609428 absolute error = 1.2e-30 relative error = 6.1941646236159687446891336412991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.266 y[1] (analytic) = 1.938007783519342471673944677143 y[1] (numeric) = 1.9380077835193424716739446771429 absolute error = 1e-31 relative error = 5.1599379966577900204085201252086e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.267 y[1] (analytic) = 1.93870841584026631257206302333 y[1] (numeric) = 1.9387084158402663125720630233292 absolute error = 8e-31 relative error = 4.1264585920377695657173471465546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.5MB, time=67.99 x[1] = 2.268 y[1] (analytic) = 1.939409141624334813697407833081 y[1] (numeric) = 1.9394091416243348136974078330797 absolute error = 1.3e-30 relative error = 6.7030724569607659214302808233042e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.269 y[1] (analytic) = 1.940109960864702815807290879292 y[1] (numeric) = 1.9401099608647028158072908792919 absolute error = 1e-31 relative error = 5.1543470224455842781423470195702e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (analytic) = 1.940810873554528112314186776158 y[1] (numeric) = 1.9408108735545281123141867761568 absolute error = 1.2e-30 relative error = 6.1829826715791293336689267194622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.271 y[1] (analytic) = 1.941511879686971447516848763164 y[1] (numeric) = 1.941511879686971447516848763163 absolute error = 1.0e-30 relative error = 5.1506251929873809211737047606930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.272 y[1] (analytic) = 1.942212979255196514832891413468 y[1] (numeric) = 1.9422129792551965148328914134679 absolute error = 1e-31 relative error = 5.1487659215596524345580620948087e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.273 y[1] (analytic) = 1.942914172252369955032838710986 y[1] (numeric) = 1.9429141722523699550328387109866 absolute error = 6e-31 relative error = 3.0881446466800722242003640003541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.5MB, time=68.36 x[1] = 2.274 y[1] (analytic) = 1.94361545867166135447563594256 y[1] (numeric) = 1.9436154586716613544756359425596 absolute error = 4e-31 relative error = 2.0580202643241723598834024552206e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.275 y[1] (analytic) = 1.94431683850624324334562385357 y[1] (numeric) = 1.9443168385062432433456238535696 absolute error = 4e-31 relative error = 2.0572778678772708235439560533908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.276 y[1] (analytic) = 1.945018311749291093890973517382 y[1] (numeric) = 1.9450183117492910938909735173814 absolute error = 6e-31 relative error = 3.0848038621311385380086837383221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.277 y[1] (analytic) = 1.945719878393983318663580370982 y[1] (numeric) = 1.9457198783939833186635803709812 absolute error = 8e-31 relative error = 4.1115887691928604595021211236595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.278 y[1] (analytic) = 1.946421538433501268760415871192 y[1] (numeric) = 1.9464215384335012687604158711909 absolute error = 1.1e-30 relative error = 5.6513965668777512356063110901120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.279 y[1] (analytic) = 1.947123291861029232066335227828 y[1] (numeric) = 1.9471232918610292320663352278285 absolute error = 5e-31 relative error = 2.5678908063500591914896909265724e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.5MB, time=68.73 x[1] = 2.28 y[1] (analytic) = 1.947825138669754431498339672178 y[1] (numeric) = 1.9478251386697544314983396721769 absolute error = 1.1e-30 relative error = 5.6473241779353602354628171818996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.281 y[1] (analytic) = 1.948527078852867023251291721117 y[1] (numeric) = 1.9485270788528670232512917211163 absolute error = 7e-31 relative error = 3.5924571313225095352003604561945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.282 y[1] (analytic) = 1.949229112403560095045081899259 y[1] (numeric) = 1.9492291124035600950450818992592 absolute error = 2e-31 relative error = 1.0260466495566728004954100465219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.283 y[1] (analytic) = 1.949931239315029664373245383411 y[1] (numeric) = 1.9499312393150296643732453834115 absolute error = 5e-31 relative error = 2.5641929823927515145412675659409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.284 y[1] (analytic) = 1.950633459580474676753027035664 y[1] (numeric) = 1.9506334595804746767530270356641 absolute error = 1e-31 relative error = 5.1265397662924910826621002168168e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.5MB, time=69.10 x[1] = 2.285 y[1] (analytic) = 1.951335773193097003976893293397 y[1] (numeric) = 1.9513357731930970039768932933978 absolute error = 8e-31 relative error = 4.0997557211330586584864903925903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.286 y[1] (analytic) = 1.952038180146101442365489386457 y[1] (numeric) = 1.952038180146101442365489386456 absolute error = 1.0e-30 relative error = 5.1228506192699284885409991985092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.287 y[1] (analytic) = 1.952740680432695711022040353715 y[1] (numeric) = 1.9527406804326957110220403537154 absolute error = 4e-31 relative error = 2.0484030675868670786388144313076e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.288 y[1] (analytic) = 1.95344327404609045008819433325 y[1] (numeric) = 1.9534432740460904500881943332495 absolute error = 5e-31 relative error = 2.5595828998114166237671082663986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.289 y[1] (analytic) = 1.954145960979499219001306602249 y[1] (numeric) = 1.954145960979499219001306602248 absolute error = 1.0e-30 relative error = 5.1173250103526474291530038115448e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = 1.954848741226138494753162844818 y[1] (numeric) = 1.9548487412261384947531628448173 absolute error = 7e-31 relative error = 3.5808397101912829264701618180673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1468.7MB, alloc=4.5MB, time=69.47 x[1] = 2.291 y[1] (analytic) = 1.955551614779227670150140127746 y[1] (numeric) = 1.9555516147792276701501401277452 absolute error = 8e-31 relative error = 4.0909173348018028924423829444767e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.292 y[1] (analytic) = 1.956254581631989052074804066273 y[1] (numeric) = 1.9562545816319890520748040662724 absolute error = 6e-31 relative error = 3.0670854684948776419675594091538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.293 y[1] (analytic) = 1.956957641777647859748940663865 y[1] (numeric) = 1.9569576417776478597489406638645 absolute error = 5e-31 relative error = 2.5549863181801595050362017699525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.294 y[1] (analytic) = 1.95766079520943222299802131193 y[1] (numeric) = 1.9576607952094322229980213119302 absolute error = 2e-31 relative error = 1.0216274468458353597111719471119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.295 y[1] (analytic) = 1.958364041920573180517099437379 y[1] (numeric) = 1.9583640419205731805170994373792 absolute error = 2e-31 relative error = 1.0212605813771959972710980906238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.296 y[1] (analytic) = 1.959067381904304678138137287857 y[1] (numeric) = 1.9590673819043046781381372878578 absolute error = 8e-31 relative error = 4.0835757227623419709088040797563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.5MB, time=69.85 x[1] = 2.297 y[1] (analytic) = 1.959770815153863567098761346441 y[1] (numeric) = 1.9597708151538635670987613464415 absolute error = 5e-31 relative error = 2.5513187365265693062135519058915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.298 y[1] (analytic) = 1.960474341662489602312444869504 y[1] (numeric) = 1.9604743416624896023124448695037 absolute error = 3e-31 relative error = 1.5302419094431956383208491307947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.299 y[1] (analytic) = 1.961177961423425440640116043415 y[1] (numeric) = 1.9611779614234254406401160434154 absolute error = 4e-31 relative error = 2.0395905311401699361777425267115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (analytic) = 1.961881674429916639163190257663 y[1] (numeric) = 1.961881674429916639163190257663 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.301 y[1] (analytic) = 1.962585480675211653458024993904 y[1] (numeric) = 1.9625854806752116534580249939026 absolute error = 1.4e-30 relative error = 7.1334472499936223351026753191228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.302 y[1] (analytic) = 1.963289380152561835871795832396 y[1] (numeric) = 1.9632893801525618358717958323951 absolute error = 9e-31 relative error = 4.5841433723339524564724161515769e-29 % Correct digits = 30 memory used=1476.3MB, alloc=4.5MB, time=70.21 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.303 y[1] (analytic) = 1.963993372855221433799792079192 y[1] (numeric) = 1.9639933728552214337997920791919 absolute error = 1e-31 relative error = 5.0916668753633132700922780877511e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.304 y[1] (analytic) = 1.964697458776447587964130519362 y[1] (numeric) = 1.9646974587764475879641305193611 absolute error = 9e-31 relative error = 4.5808579635487083138458086737280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.305 y[1] (analytic) = 1.965401637909500330693885803464 y[1] (numeric) = 1.9654016379095003306938858034633 absolute error = 7e-31 relative error = 3.5616129878906332719767803599819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.306 y[1] (analytic) = 1.966105910247642584206635976402 y[1] (numeric) = 1.9661059102476425842066359764019 absolute error = 1e-31 relative error = 5.0861959917207315046567579713422e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.307 y[1] (analytic) = 1.966810275784140158891421659684 y[1] (numeric) = 1.9668102757841401588914216596837 absolute error = 3e-31 relative error = 1.5253123480880438928005873871689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.5MB, time=70.58 x[1] = 2.308 y[1] (analytic) = 1.967514734512261751593117400038 y[1] (numeric) = 1.9675147345122617515931174000378 absolute error = 2e-31 relative error = 1.0165108117961775787321490872295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.309 y[1] (analytic) = 1.968219286425278943898213699247 y[1] (numeric) = 1.9682192864252789438982136992458 absolute error = 1.2e-30 relative error = 6.0968816243004361160116611196084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = 1.96892393151646620042200824194 y[1] (numeric) = 1.9689239315164662004220082419401 absolute error = 1e-31 relative error = 5.0789163765702187286440501540187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.311 y[1] (analytic) = 1.96962866977910086709720484003 y[1] (numeric) = 1.9696286697791008670972048400303 absolute error = 3e-31 relative error = 1.5231297381229011245301431986742e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.312 y[1] (analytic) = 1.970333501206463169463918614314 y[1] (numeric) = 1.9703335012064631694639186143127 absolute error = 1.3e-30 relative error = 6.5978678188438228754541755706127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.313 y[1] (analytic) = 1.971038425791836210961085935717 y[1] (numeric) = 1.9710384257918362109610859357165 absolute error = 5e-31 relative error = 2.5367339035977049699366812975769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.5MB, time=70.95 x[1] = 2.314 y[1] (analytic) = 1.97174344352850597121927765053 y[1] (numeric) = 1.9717434435285059712192776505295 absolute error = 5e-31 relative error = 2.5358268675423206966006922123611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.315 y[1] (analytic) = 1.972448554409761304354914115839 y[1] (numeric) = 1.9724485544097613043549141158392 absolute error = 2e-31 relative error = 1.0139681440758708329328318112465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.316 y[1] (analytic) = 1.973153758428893937265880573309 y[1] (numeric) = 1.9731537584288939372658805733081 absolute error = 9e-31 relative error = 4.5612258859979415101391649065089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.317 y[1] (analytic) = 1.973859055579198467928541391291 y[1] (numeric) = 1.9738590555791984679285413912893 absolute error = 1.7e-30 relative error = 8.6125703615710354970868436512352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.318 y[1] (analytic) = 1.974564445853972363696151707168 y[1] (numeric) = 1.9745644458539723636961517071676 absolute error = 4e-31 relative error = 2.0257632048418932245447561921804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.319 y[1] (analytic) = 1.97526992924651595959866500369 y[1] (numeric) = 1.9752699292465159595986650036895 absolute error = 5e-31 relative error = 2.5312996092171027263191430847361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1487.7MB, alloc=4.5MB, time=71.33 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = 1.975975505750132456643935154922 y[1] (numeric) = 1.9759755057501324566439351549219 absolute error = 1e-31 relative error = 5.0607914778800540121751883083681e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.321 y[1] (analytic) = 1.976681175358127920120311479352 y[1] (numeric) = 1.9766811753581279201203114793513 absolute error = 7e-31 relative error = 3.5412893527109982263929872672663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.322 y[1] (analytic) = 1.977386938063811277900625339504 y[1] (numeric) = 1.977386938063811277900625339504 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.323 y[1] (analytic) = 1.978092793860494318747566829337 y[1] (numeric) = 1.9780927938604943187475668293372 absolute error = 2e-31 relative error = 1.0110749132737858275487475828982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.324 y[1] (analytic) = 1.978798742741491690620450092513 y[1] (numeric) = 1.9787987427414916906204500925116 absolute error = 1.4e-30 relative error = 7.0749994416329312093755401325274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.5MB, time=71.70 x[1] = 2.325 y[1] (analytic) = 1.979504784700120898983365816521 y[1] (numeric) = 1.9795047847001208989833658165207 absolute error = 3e-31 relative error = 1.5155305625868825281328068021696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.326 y[1] (analytic) = 1.980210919729702305114719449509 y[1] (numeric) = 1.9802109197297023051147194495079 absolute error = 1.1e-30 relative error = 5.5549638123910022239754328540318e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.327 y[1] (analytic) = 1.98091714782355912441815368846 y[1] (numeric) = 1.9809171478235591244181536884593 absolute error = 7e-31 relative error = 3.5337166966780642296807798000750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.328 y[1] (analytic) = 1.981623468975017424734853789314 y[1] (numeric) = 1.9816234689750174247348537893133 absolute error = 7e-31 relative error = 3.5324571542446996910929411319179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.329 y[1] (analytic) = 1.982329883177406124657234251379 y[1] (numeric) = 1.9823298831774061246572342513771 absolute error = 1.9e-30 relative error = 9.5846812184183871524502542847753e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (analytic) = 1.983036390424056991844005430289 y[1] (numeric) = 1.983036390424056991844005430288 absolute error = 1.0e-30 relative error = 5.0427718060491957776786010732430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1495.4MB, alloc=4.5MB, time=72.08 x[1] = 2.331 y[1] (analytic) = 1.983742990708304641336618635603 y[1] (numeric) = 1.9837429907083046413366186356024 absolute error = 6e-31 relative error = 3.0245853561189759537056560880305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.332 y[1] (analytic) = 1.984449684023486533877088270937 y[1] (numeric) = 1.9844496840234865338770882709362 absolute error = 8e-31 relative error = 4.0313443391418926470541522234397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.333 y[1] (analytic) = 1.985156470362942974227189576421 y[1] (numeric) = 1.9851564703629429742271895764201 absolute error = 9e-31 relative error = 4.5336476667527091361874428621254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.334 y[1] (analytic) = 1.985863349720017109489030535069 y[1] (numeric) = 1.985863349720017109489030535068 absolute error = 1.0e-30 relative error = 5.0355932100815899253068218672991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.335 y[1] (analytic) = 1.986570322088054927426996506494 y[1] (numeric) = 1.9865703220880549274269965064929 absolute error = 1.1e-30 relative error = 5.5371812805690469306172233209462e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.336 y[1] (analytic) = 1.987277387460405254791066153232 y[1] (numeric) = 1.9872773874604052547910661532318 absolute error = 2e-31 relative error = 1.0064020315532565440701994575629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.5MB, time=72.45 x[1] = 2.337 y[1] (analytic) = 1.987984545830419755641497226772 y[1] (numeric) = 1.9879845458304197556414972267723 absolute error = 3e-31 relative error = 1.5090660570235176218030672751874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.338 y[1] (analytic) = 1.988691797191452929674880782197 y[1] (numeric) = 1.9886917971914529296748807821962 absolute error = 8e-31 relative error = 4.0227450081998973935754245627773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.339 y[1] (analytic) = 1.98939914153686211055156239218 y[1] (numeric) = 1.9893991415368621105515623921795 absolute error = 5e-31 relative error = 2.5133216837207294322354806053875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = 1.990106578860007464224428932907 y[1] (numeric) = 1.9901065788600074642244289329072 absolute error = 2e-31 relative error = 1.0049713021629523897832756992993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.341 y[1] (analytic) = 1.990814109154251987269059516279 y[1] (numeric) = 1.990814109154251987269059516278 absolute error = 1.0e-30 relative error = 5.0230706895322597715961253817246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.5MB, time=72.82 x[1] = 2.342 y[1] (analytic) = 1.99152173241296150521523914459 y[1] (numeric) = 1.9915217324129615052152391445888 absolute error = 1.2e-30 relative error = 6.0255430833087603276917398039473e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.343 y[1] (analytic) = 1.992229448629504670879833665701 y[1] (numeric) = 1.9922294486295046708798336657002 absolute error = 8e-31 relative error = 4.0156017197232795652567338342526e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.344 y[1] (analytic) = 1.992937257797252962701024608493 y[1] (numeric) = 1.9929372577972529627010246084924 absolute error = 6e-31 relative error = 3.0106316576326441727768239751730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.345 y[1] (analytic) = 1.993645159909580683073902480229 y[1] (numeric) = 1.993645159909580683073902480228 absolute error = 1.0e-30 relative error = 5.0159377411241715974653584634340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.346 y[1] (analytic) = 1.994353154959864956687417109241 y[1] (numeric) = 1.9943531549598649566874171092406 absolute error = 4e-31 relative error = 2.0056628336120827931788533584174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.347 y[1] (analytic) = 1.995061242941485728862683618169 y[1] (numeric) = 1.9950612429414857288626836181692 absolute error = 2e-31 relative error = 1.0024754914547047429738953055870e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.5MB, time=73.19 x[1] = 2.348 y[1] (analytic) = 1.995769423847825763892642614757 y[1] (numeric) = 1.9957694238478257638926426147561 absolute error = 9e-31 relative error = 4.5095389740203954785950813540850e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.349 y[1] (analytic) = 1.996477697672270643383073189022 y[1] (numeric) = 1.9964776976722706433830731890221 absolute error = 1e-31 relative error = 5.0088212914470221040531237671608e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = 1.997186064408208764594957307424 y[1] (numeric) = 1.9971860644082087645949573074232 absolute error = 8e-31 relative error = 4.0056358005734934661703915487476e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.351 y[1] (analytic) = 1.997894524049031338788194196386 y[1] (numeric) = 1.9978945240490313387881941963859 absolute error = 1e-31 relative error = 5.0052692370033168719543295066235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.352 y[1] (analytic) = 1.998603076588132389566663309404 y[1] (numeric) = 1.9986030765881323895666633094029 absolute error = 1.1e-30 relative error = 5.5038442244261866354125175564863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.353 y[1] (analytic) = 1.999311722018908751224634473656 y[1] (numeric) = 1.9993117220189087512246344736562 absolute error = 2e-31 relative error = 1.0003442574629614157269674454084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.5MB, time=73.56 x[1] = 2.354 y[1] (analytic) = 2.000020460334760067094523813918 y[1] (numeric) = 2.0000204603347600670945238139173 absolute error = 7e-31 relative error = 3.4999641947804632715241628581472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.355 y[1] (analytic) = 2.000729291529088787895994053253 y[1] (numeric) = 2.0007292915290887878959940532522 absolute error = 8e-31 relative error = 3.9985419486140847862743104817543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.356 y[1] (analytic) = 2.001438215595300170086397791836 y[1] (numeric) = 2.0014382155953001700863977918359 absolute error = 1e-31 relative error = 4.9964070447338980366421325467923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.357 y[1] (analytic) = 2.002147232526802274212562366956 y[1] (numeric) = 2.002147232526802274212562366955 absolute error = 1.0e-30 relative error = 4.9946376757615063913247173946782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.358 y[1] (analytic) = 2.002856342317005963263914899049 y[1] (numeric) = 2.0028563423170059632639148990484 absolute error = 6e-31 relative error = 2.9957215968165221455162484639885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.5MB, time=73.93 x[1] = 2.359 y[1] (analytic) = 2.003565544959324901026946130405 y[1] (numeric) = 2.0035655449593249010269461304034 absolute error = 1.6e-30 relative error = 7.9857632011359137784442059712064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = 2.004274840447175550441011664893 y[1] (numeric) = 2.0042748404471755504410116648926 absolute error = 4e-31 relative error = 1.9957342771950160418425070625346e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.361 y[1] (analytic) = 2.004984228773977171955469218899 y[1] (numeric) = 2.0049842287739771719554692188977 absolute error = 1.3e-30 relative error = 6.4838415252519655595405749178990e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.362 y[1] (analytic) = 2.00569370993315182188815049533 y[1] (numeric) = 2.0056937099331518218881504953295 absolute error = 5e-31 relative error = 2.4929030665238741902454107792461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.363 y[1] (analytic) = 2.006403283918124350785166294408 y[1] (numeric) = 2.0064032839181243507851662944083 absolute error = 3e-31 relative error = 1.4952128637576639472518573861022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.364 y[1] (analytic) = 2.007112950722322401782043476628 y[1] (numeric) = 2.0071129507223224017820434766283 absolute error = 3e-31 relative error = 1.4946841924966684730772885609974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1518.3MB, alloc=4.5MB, time=74.30 x[1] = 2.365 y[1] (analytic) = 2.007822710339176408966192395078 y[1] (numeric) = 2.0078227103391764089661923950776 absolute error = 4e-31 relative error = 1.9922077678483326465545599140285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.366 y[1] (analytic) = 2.008532562762119595740703416041 y[1] (numeric) = 2.0085325627621195957407034160399 absolute error = 1.1e-30 relative error = 5.4766351334990948710535948643551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.367 y[1] (analytic) = 2.009242507984587973189471148549 y[1] (numeric) = 2.0092425079845879731894711485488 absolute error = 2e-31 relative error = 9.9540000375870065533429855845310e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.368 y[1] (analytic) = 2.009952546000020338443645005311 y[1] (numeric) = 2.0099525460000203384436450053108 absolute error = 2e-31 relative error = 9.9504836767423849531264008407885e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.369 y[1] (analytic) = 2.010662676801858273049404719157 y[1] (numeric) = 2.0106626768018582730494047191565 absolute error = 5e-31 relative error = 2.4867423350956881668704767811015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = 2.01137290038354614133705944092 y[1] (numeric) = 2.0113729003835461413370594409185 absolute error = 1.5e-30 relative error = 7.4575927701619471304108915772729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1522.1MB, alloc=4.5MB, time=74.67 TOP MAIN SOLVE Loop x[1] = 2.371 y[1] (analytic) = 2.012083216738531088791469046371 y[1] (numeric) = 2.0120832167385310887914690463712 absolute error = 2e-31 relative error = 9.9399467346180777025840981155599e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.372 y[1] (analytic) = 2.012793625860263040423786281602 y[1] (numeric) = 2.0127936258602630404237862816029 absolute error = 9e-31 relative error = 4.4713973078851649070460342040727e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.373 y[1] (analytic) = 2.013504127742194699144518377923 y[1] (numeric) = 2.0135041277421946991445183779219 absolute error = 1.1e-30 relative error = 5.4631127140199334206904172126338e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.374 y[1] (analytic) = 2.014214722377781544137906769129 y[1] (numeric) = 2.0142147223777815441379067691286 absolute error = 4e-31 relative error = 1.9858855938050129463263442019939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.375 y[1] (analytic) = 2.014925409760481829237623545711 y[1] (numeric) = 2.014925409760481829237623545711 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.5MB, time=75.04 x[1] = 2.376 y[1] (analytic) = 2.015636189883756581303783282247 y[1] (numeric) = 2.015636189883756581303783282246 absolute error = 1.0e-30 relative error = 4.9612127675563854273623024296385e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.377 y[1] (analytic) = 2.016347062741069598601268876011 y[1] (numeric) = 2.016347062741069598601268876011 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.378 y[1] (analytic) = 2.017058028325887449179370036529 y[1] (numeric) = 2.0170580283258874491793700365278 absolute error = 1.2e-30 relative error = 5.9492586883877250860792387677048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.379 y[1] (analytic) = 2.01776908663167946925273306748 y[1] (numeric) = 2.0177690866316794692527330674792 absolute error = 8e-31 relative error = 3.9647747866702786658956179490910e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (analytic) = 2.018480237651917761583620584151 y[1] (numeric) = 2.0184802376519177615836205841505 absolute error = 5e-31 relative error = 2.4771111981836695151582907563653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.381 y[1] (analytic) = 2.019191481380077193865479811262 y[1] (numeric) = 2.0191914813800771938654798112617 absolute error = 3e-31 relative error = 1.4857431935823935343645932866690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.5MB, time=75.41 x[1] = 2.382 y[1] (analytic) = 2.019902817809635397107818107763 y[1] (numeric) = 2.0199028178096353971078181077636 absolute error = 6e-31 relative error = 2.9704399375541970351999292553583e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.383 y[1] (analytic) = 2.020614246934072764022384366878 y[1] (numeric) = 2.0206142469340727640223843668771 absolute error = 9e-31 relative error = 4.4540911327611983907660494922399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.384 y[1] (analytic) = 2.02132576874687244741065494136 y[1] (numeric) = 2.0213257687468724474106549413602 absolute error = 2e-31 relative error = 9.8944961318130653040472779650425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.385 y[1] (analytic) = 2.022037383241520358552622745687 y[1] (numeric) = 2.0220373832415203585526227456867 absolute error = 3e-31 relative error = 1.4836520950916899116627781531358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.386 y[1] (analytic) = 2.022749090411505165596888188521 y[1] (numeric) = 2.0227490904115051655968881885207 absolute error = 3e-31 relative error = 1.4831300699730802078640427235082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.387 y[1] (analytic) = 2.023460890250318291952050590566 y[1] (numeric) = 2.0234608902503182919520505905661 absolute error = 1e-31 relative error = 4.9420278139217803408296037975650e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.5MB, time=75.78 x[1] = 2.388 y[1] (analytic) = 2.024172782751453914679398744566 y[1] (numeric) = 2.0241727827514539146793987445646 absolute error = 1.4e-30 relative error = 6.9164056148259382756725927373928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.389 y[1] (analytic) = 2.024884767908408962886899275908 y[1] (numeric) = 2.0248847679084089628868992759069 absolute error = 1.1e-30 relative error = 5.4324078951724130274756641704788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = 2.02559684571468311612448146401 y[1] (numeric) = 2.0255968457146831161244814640094 absolute error = 6e-31 relative error = 2.9620899206540007941541203697497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.391 y[1] (analytic) = 2.026309016163778802780617186298 y[1] (numeric) = 2.0263090161637788027806171862962 absolute error = 1.8e-30 relative error = 8.8831465765659549771086295821879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.392 y[1] (analytic) = 2.027021279249201198480194648309 y[1] (numeric) = 2.0270212792492011984801946483089 absolute error = 1e-31 relative error = 4.9333473221869438178660356521424e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.5MB, time=76.15 x[1] = 2.393 y[1] (analytic) = 2.027733634964458224483684565149 y[1] (numeric) = 2.0277336349644582244836845651479 absolute error = 1.1e-30 relative error = 5.4247756265052072076240070345679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.394 y[1] (analytic) = 2.028446083303060546087597461128 y[1] (numeric) = 2.0284460833030605460875974611277 absolute error = 3e-31 relative error = 1.4789646245439712647474226808370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.395 y[1] (analytic) = 2.029158624258521571026230756205 y[1] (numeric) = 2.0291586242585215710262307562052 absolute error = 2e-31 relative error = 9.8563018981861190112518794443169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.396 y[1] (analytic) = 2.029871257824357447874704309412 y[1] (numeric) = 2.0298712578243574478747043094121 absolute error = 1e-31 relative error = 4.9264208069619798140803867664069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.397 y[1] (analytic) = 2.030583983994087064453283091196 y[1] (numeric) = 2.0305839839940870644532830911961 absolute error = 1e-31 relative error = 4.9246916546294986360639387731670e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.398 y[1] (analytic) = 2.031296802761232046232985658241 y[1] (numeric) = 2.0312968027612320462329856582417 absolute error = 7e-31 relative error = 3.4460744439141482484291504131646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.5MB, time=76.52 x[1] = 2.399 y[1] (analytic) = 2.03200971411931675474247710601 y[1] (numeric) = 2.0320097141193167547424771060093 absolute error = 7e-31 relative error = 3.4448654213416667935283976130711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = 2.032722718061868285976245175895 y[1] (numeric) = 2.0327227180618682859762451758947 absolute error = 3e-31 relative error = 1.4758530385592372280219218333008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.401 y[1] (analytic) = 2.033435814582416468804058195573 y[1] (numeric) = 2.0334358145824164688040581955717 absolute error = 1.3e-30 relative error = 6.3931204057550554131437034361195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.402 y[1] (analytic) = 2.034149003674493863381703532741 y[1] (numeric) = 2.0341490036744938633817035327402 absolute error = 8e-31 relative error = 3.9328485698681719305763212671315e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.403 y[1] (analytic) = 2.034862285331635759563005244158 y[1] (numeric) = 2.0348622853316357595630052441574 absolute error = 6e-31 relative error = 2.9486024893434682602106465536045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.404 y[1] (analytic) = 2.035575659547380175313119603486 y[1] (numeric) = 2.0355756595473801753131196034855 absolute error = 5e-31 relative error = 2.4563076182153669117529574491243e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1545.0MB, alloc=4.5MB, time=76.90 x[1] = 2.405 y[1] (analytic) = 2.036289126315267855123107193138 y[1] (numeric) = 2.036289126315267855123107193138 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.406 y[1] (analytic) = 2.037002685628842268425780246959 y[1] (numeric) = 2.0370026856288422684257802469585 absolute error = 5e-31 relative error = 2.4545868472708724185673326120118e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.407 y[1] (analytic) = 2.037716337481649608012823932211 y[1] (numeric) = 2.0377163374816496080128239322104 absolute error = 6e-31 relative error = 2.9444726381372658681475253475903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.408 y[1] (analytic) = 2.038430081867238788453190261002 y[1] (numeric) = 2.0384300818672387884531902610013 absolute error = 7e-31 relative error = 3.4340152562838326607340903487334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.409 y[1] (analytic) = 2.039143918779161444512763322907 y[1] (numeric) = 2.0391439187791614445127633229065 absolute error = 5e-31 relative error = 2.4520093721454970083383200907671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1548.8MB, alloc=4.5MB, time=77.27 x[1] = 2.41 y[1] (analytic) = 2.039857848210971929575294532196 y[1] (numeric) = 2.0398578482109719295752945321964 absolute error = 4e-31 relative error = 1.9609209551087800714023436989796e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.411 y[1] (analytic) = 2.040571870156227314064606584709 y[1] (numeric) = 2.0405718701562273140646065847084 absolute error = 6e-31 relative error = 2.9403522060414547773052476870688e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.412 y[1] (analytic) = 2.04128598460848738386806482104 y[1] (numeric) = 2.0412859846084873838680648210392 absolute error = 8e-31 relative error = 3.9190980883231686644030281356458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.413 y[1] (analytic) = 2.042000191561314638761314694365 y[1] (numeric) = 2.0420001915613146387613146943646 absolute error = 4e-31 relative error = 1.9588636751995588543863649147441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.414 y[1] (analytic) = 2.042714491008274290834284042824 y[1] (numeric) = 2.0427144910082742908342840428238 absolute error = 2e-31 relative error = 9.7908934841540649254563949060998e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.415 y[1] (analytic) = 2.043428882942934262918448868034 y[1] (numeric) = 2.0434288829429342629184488680332 absolute error = 8e-31 relative error = 3.9149882174898335761150369155266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.5MB, time=77.63 x[1] = 2.416 y[1] (analytic) = 2.044143367358865187015361322918 y[1] (numeric) = 2.0441433673588651870153613229179 absolute error = 1e-31 relative error = 4.8920247765793927377056890318011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.417 y[1] (analytic) = 2.044857944249640402726438613673 y[1] (numeric) = 2.0448579442496404027264386136722 absolute error = 8e-31 relative error = 3.9122522043630742224973868059870e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.418 y[1] (analytic) = 2.045572613608835955684011522282 y[1] (numeric) = 2.0455726136088359556840115222816 absolute error = 4e-31 relative error = 1.9554426830847760207370222154326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.419 y[1] (analytic) = 2.046287375430030595983631257655 y[1] (numeric) = 2.0462873754300305959836312576539 absolute error = 1.1e-30 relative error = 5.3755890458388486313437965843646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (analytic) = 2.047002229706805776617633345025 y[1] (numeric) = 2.0470022297068057766176333450245 absolute error = 5e-31 relative error = 2.4425962646441059885161914992145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.421 y[1] (analytic) = 2.047717176432745651909957264912 y[1] (numeric) = 2.0477171764327456519099572649126 absolute error = 6e-31 relative error = 2.9300921382377540634947833718635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.5MB, time=78.00 x[1] = 2.422 y[1] (analytic) = 2.048432215601437075952220554517 y[1] (numeric) = 2.0484322156014370759522205545156 absolute error = 1.4e-30 relative error = 6.8344951291880953131228792397677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.423 y[1] (analytic) = 2.049147347206469601041046086037 y[1] (numeric) = 2.0491473472064696010410460860374 absolute error = 4e-31 relative error = 1.9520314170930944050326513532287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.424 y[1] (analytic) = 2.049862571241435476116641238052 y[1] (numeric) = 2.0498625712414354761166412380521 absolute error = 1e-31 relative error = 4.8783758190890871246813533668963e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.425 y[1] (analytic) = 2.050577887699929645202627677607 y[1] (numeric) = 2.0505778876999296452026276776069 absolute error = 1e-31 relative error = 4.8766740634352072543396830095869e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.426 y[1] (analytic) = 2.051293296575549745847120472371 y[1] (numeric) = 2.0512932965755497458471204723704 absolute error = 6e-31 relative error = 2.9249839650022071842894946664588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.427 y[1] (analytic) = 2.052008797861896107565055253729 y[1] (numeric) = 2.0520087978618961075650552537298 absolute error = 8e-31 relative error = 3.8986187624222917324014444036673e-29 % Correct digits = 30 h = 0.001 memory used=1560.2MB, alloc=4.5MB, time=78.37 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.428 y[1] (analytic) = 2.052724391552571750281762153339 y[1] (numeric) = 2.0527243915525717502817621533385 absolute error = 5e-31 relative error = 2.4357872983709544420886052016030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.429 y[1] (analytic) = 2.053440077641182382777785237207 y[1] (numeric) = 2.0534400776411823827777852372069 absolute error = 1e-31 relative error = 4.8698767053807340540232139015905e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = 2.054155856121336401134946163024 y[1] (numeric) = 2.0541558561213364011349461630232 absolute error = 8e-31 relative error = 3.8945438225440329336481324103698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.431 y[1] (analytic) = 2.05487172698664488718365078798 y[1] (numeric) = 2.0548717269866448871836507879793 absolute error = 7e-31 relative error = 3.4065386700634159381044192672266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.432 y[1] (analytic) = 2.055587690230721606951437455963 y[1] (numeric) = 2.0555876902307216069514374559633 absolute error = 3e-31 relative error = 1.4594366439620371691665782906239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.5MB, time=78.74 x[1] = 2.433 y[1] (analytic) = 2.056303745847183009112765694565 y[1] (numeric) = 2.0563037458471830091127656945653 absolute error = 3e-31 relative error = 1.4589284321728551930209274853413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.434 y[1] (analytic) = 2.057019893829648223440044053925 y[1] (numeric) = 2.0570198938296482234400440539251 absolute error = 1e-31 relative error = 4.8614016957232929976894260180179e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.435 y[1] (analytic) = 2.057736134171739059255895821031 y[1] (numeric) = 2.0577361341717390592558958210308 absolute error = 2e-31 relative error = 9.7194191557753906350333843397291e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.436 y[1] (analytic) = 2.058452466867080003886661344654 y[1] (numeric) = 2.0584524668670800038866613446538 absolute error = 2e-31 relative error = 9.7160368392861488304237680976542e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.437 y[1] (analytic) = 2.059168891909298221117135707683 y[1] (numeric) = 2.0591688919092982211171357076819 absolute error = 1.1e-30 relative error = 5.3419610422536071262946031084577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.438 y[1] (analytic) = 2.059885409292023549646540485186 y[1] (numeric) = 2.0598854092920235496465404851854 absolute error = 6e-31 relative error = 2.9127833873352120316314631195905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.5MB, time=79.11 x[1] = 2.439 y[1] (analytic) = 2.06060201900888850154572832812 y[1] (numeric) = 2.0606020190088885015457283281198 absolute error = 2e-31 relative error = 9.7059013897402810806886852727836e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = 2.061318721053528260715619114141 y[1] (numeric) = 2.0613187210535282607156191141397 absolute error = 1.3e-30 relative error = 6.3066423776308469293575120109050e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.441 y[1] (analytic) = 2.062035515419580681346866408563 y[1] (numeric) = 2.0620355154195806813468664085625 absolute error = 5e-31 relative error = 2.4247884978754139401616412450816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.442 y[1] (analytic) = 2.062752402100686286380752980085 y[1] (numeric) = 2.0627524021006862863807529800849 absolute error = 1e-31 relative error = 4.8478915791425576049915134915571e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.443 y[1] (analytic) = 2.063469381090488265971314117417 y[1] (numeric) = 2.0634693810904882659713141174168 absolute error = 2e-31 relative error = 9.6924142336585270818324570549581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.444 y[1] (analytic) = 2.064186452382632475948687494557 y[1] (numeric) = 2.0641864523826324759486874945558 absolute error = 1.2e-30 relative error = 5.8134283296689293087505134401165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1571.7MB, alloc=4.5MB, time=79.47 x[1] = 2.445 y[1] (analytic) = 2.064903615970767436283688333984 y[1] (numeric) = 2.0649036159707674362836883339832 absolute error = 8e-31 relative error = 3.8742728416594796295316219721449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.446 y[1] (analytic) = 2.065620871848544329553608618616 y[1] (numeric) = 2.0656208718485443295536086186156 absolute error = 4e-31 relative error = 1.9364637792512044388277482548645e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.447 y[1] (analytic) = 2.066338220009616999409239104901 y[1] (numeric) = 2.0663382200096169994092391048999 absolute error = 1.1e-30 relative error = 5.3234266750139309763196769081326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.448 y[1] (analytic) = 2.067055660447641949043112890989 y[1] (numeric) = 2.0670556604476419490431128909889 absolute error = 1e-31 relative error = 4.8377990933414914355898913463549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.449 y[1] (analytic) = 2.067773193156278339658969295482 y[1] (numeric) = 2.0677731931562783396589692954816 absolute error = 4e-31 relative error = 1.9344481364004643313348864320440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.5MB, time=79.84 x[1] = 2.45 y[1] (analytic) = 2.068490818129187988942436803759 y[1] (numeric) = 2.0684908181291879889424368037597 absolute error = 7e-31 relative error = 3.3841097763880978772746875818421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.451 y[1] (analytic) = 2.069208535360035369532933840493 y[1] (numeric) = 2.0692085353600353695329338404928 absolute error = 2e-31 relative error = 9.6655313653633594949091200680854e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.452 y[1] (analytic) = 2.069926344842487607496786128428 y[1] (numeric) = 2.0699263448424876074967861284274 absolute error = 6e-31 relative error = 2.8986538651241592392672283866130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.453 y[1] (analytic) = 2.070644246570214480801559395113 y[1] (numeric) = 2.0706442465702144808015593951125 absolute error = 5e-31 relative error = 2.4147074072631880143257315552062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.454 y[1] (analytic) = 2.071362240536888417791606190752 y[1] (numeric) = 2.0713622405368884177916061907514 absolute error = 6e-31 relative error = 2.8966444799364620686829373295127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.455 y[1] (analytic) = 2.072080326736184495664825581905 y[1] (numeric) = 2.0720803267361844956648255819038 absolute error = 1.2e-30 relative error = 5.7912812766779527417199627127100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.5MB, time=80.21 x[1] = 2.456 y[1] (analytic) = 2.072798505161780438950634487294 y[1] (numeric) = 2.0727985051617804389506344872933 absolute error = 7e-31 relative error = 3.3770769240561831710005658074009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.457 y[1] (analytic) = 2.073516775807356617989149423506 y[1] (numeric) = 2.0735167758073566179891494235058 absolute error = 2e-31 relative error = 9.6454488496784324485324161755932e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.458 y[1] (analytic) = 2.074235138666596047411577429892 y[1] (numeric) = 2.074235138666596047411577429892 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.459 y[1] (analytic) = 2.074953593733184384621814943511 y[1] (numeric) = 2.0749535937331843846218149435111 absolute error = 1e-31 relative error = 4.8193848914029675140503457146155e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (analytic) = 2.075672141000809928279253396478 y[1] (numeric) = 2.0756721410008099282792533964777 absolute error = 3e-31 relative error = 1.4453149612315528970335930037040e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.461 y[1] (analytic) = 2.076390780463163616782790309594 y[1] (numeric) = 2.0763907804631636167827903095928 absolute error = 1.2e-30 relative error = 5.7792589491864616749889875018175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.5MB, time=80.58 x[1] = 2.462 y[1] (analytic) = 2.07710951211393902675604465766 y[1] (numeric) = 2.0771095121139390267560446576598 absolute error = 2e-31 relative error = 9.6287653026273887924674158986517e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.463 y[1] (analytic) = 2.077828335946832371533775283401 y[1] (numeric) = 2.0778283359468323715337752834013 absolute error = 3e-31 relative error = 1.4438151353022862167222191176229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.464 y[1] (analytic) = 2.078547251955542499649501138409 y[1] (numeric) = 2.0785472519555424996495011384082 absolute error = 8e-31 relative error = 3.8488420181323402001592472145769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.465 y[1] (analytic) = 2.079266260133770893324322131064 y[1] (numeric) = 2.079266260133770893324322131063 absolute error = 1.0e-30 relative error = 4.8093888655494480803585983012309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.466 y[1] (analytic) = 2.079985360475221666956939362889 y[1] (numeric) = 2.07998536047522166695693936289 absolute error = 1.0e-30 relative error = 4.8077261455894402866472700751446e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.5MB, time=80.95 x[1] = 2.467 y[1] (analytic) = 2.080704552973601565614873536292 y[1] (numeric) = 2.0807045529736015656148735362916 absolute error = 4e-31 relative error = 1.9224257448196918661161311480398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.468 y[1] (analytic) = 2.081423837622619963526880318136 y[1] (numeric) = 2.0814238376226199635268803181361 absolute error = 1e-31 relative error = 4.8044035141933864857647914403973e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.469 y[1] (analytic) = 2.082143214415988862576561445165 y[1] (numeric) = 2.082143214415988862576561445165 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = 2.082862683347422890797170358689 y[1] (numeric) = 2.0828626833474228907971703586883 absolute error = 7e-31 relative error = 3.3607592358177532873005565264788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.471 y[1] (analytic) = 2.083582244410639300867611157538 y[1] (numeric) = 2.0835822444106393008676111575362 absolute error = 1.8e-30 relative error = 8.6389678392999879520244536938872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.472 y[1] (analytic) = 2.084301897599357968609629659731 y[1] (numeric) = 2.0843018975993579686096296597302 absolute error = 8e-31 relative error = 3.8382155719448231695935087103431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.5MB, time=81.33 x[1] = 2.473 y[1] (analytic) = 2.085021642907301391486195364834 y[1] (numeric) = 2.0850216429073013914861953648336 absolute error = 4e-31 relative error = 1.9184453137965998615290028895100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.474 y[1] (analytic) = 2.08574148032819468710107311043 y[1] (numeric) = 2.0857414803281946871010731104303 absolute error = 3e-31 relative error = 1.4383374106017900663229739246525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.475 y[1] (analytic) = 2.086461409855765591699583217674 y[1] (numeric) = 2.0864614098557655916995832176738 absolute error = 2e-31 relative error = 9.5856074334883454261295291434343e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.476 y[1] (analytic) = 2.087181431483744458670548922334 y[1] (numeric) = 2.0871814314837444586705489223341 absolute error = 1e-31 relative error = 4.7911503279765943731145332468833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.477 y[1] (analytic) = 2.087901545205864257049429889258 y[1] (numeric) = 2.0879015452058642570494298892567 absolute error = 1.3e-30 relative error = 6.2263472288001097549890882186062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.478 y[1] (analytic) = 2.088621751015860570022640609631 y[1] (numeric) = 2.0886217510158605700226406096313 absolute error = 3e-31 relative error = 1.4363539011028994154979785320883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1594.6MB, alloc=4.5MB, time=81.69 x[1] = 2.479 y[1] (analytic) = 2.089342048907471593433052481948 y[1] (numeric) = 2.0893420489074715934330524819486 absolute error = 6e-31 relative error = 2.8717174400129614386729422571545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (analytic) = 2.090062438874438134286678379004 y[1] (numeric) = 2.0900624388744381342866783790037 absolute error = 3e-31 relative error = 1.4353638169850996297618474312836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.481 y[1] (analytic) = 2.090782920910503609260538504781 y[1] (numeric) = 2.0907829209105036092605385047805 absolute error = 5e-31 relative error = 2.3914486530349967513845876444403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.482 y[1] (analytic) = 2.091503495009414043211706346527 y[1] (numeric) = 2.0915034950094140432117063465273 absolute error = 3e-31 relative error = 1.4343748442966368235660093402575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.483 y[1] (analytic) = 2.092224161164918067687533528807 y[1] (numeric) = 2.092224161164918067687533528806 absolute error = 1.0e-30 relative error = 4.7796025806489848570700167835845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1598.4MB, alloc=4.5MB, time=82.06 x[1] = 2.484 y[1] (analytic) = 2.092944919370766919437052377769 y[1] (numeric) = 2.0929449193707669194370523777677 absolute error = 1.3e-30 relative error = 6.2113435856249780614473646888540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.485 y[1] (analytic) = 2.093665769620714438923555005377 y[1] (numeric) = 2.0936657696207144389235550053766 absolute error = 4e-31 relative error = 1.9105246205198427648956742121537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.486 y[1] (analytic) = 2.094386711908517068838347724771 y[1] (numeric) = 2.0943867119085170688383477247697 absolute error = 1.3e-30 relative error = 6.2070676470983266734339437391040e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.487 y[1] (analytic) = 2.095107746227933852615679609405 y[1] (numeric) = 2.0951077462279338526156796094043 absolute error = 7e-31 relative error = 3.3411169485688333385948745149247e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.488 y[1] (analytic) = 2.095828872572726432948844010109 y[1] (numeric) = 2.0958288725727264329488440101074 absolute error = 1.6e-30 relative error = 7.6342110796284924545050499600996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.489 y[1] (analytic) = 2.096550090936659050307451845601 y[1] (numeric) = 2.0965500909366590503074518456009 absolute error = 1e-31 relative error = 4.7697405577046715535460479384918e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.5MB, time=82.43 x[1] = 2.49 y[1] (analytic) = 2.097271401313498541455875483534 y[1] (numeric) = 2.0972714013134985414558754835336 absolute error = 4e-31 relative error = 1.9072400441329829719821131776217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.491 y[1] (analytic) = 2.097992803697014337972862030509 y[1] (numeric) = 2.0979928036970143379728620305086 absolute error = 4e-31 relative error = 1.9065842327730251290114710704209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.492 y[1] (analytic) = 2.098714298080978464772314851045 y[1] (numeric) = 2.0987142980809784647723148510457 absolute error = 7e-31 relative error = 3.3353753802509742192016553523512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.493 y[1] (analytic) = 2.099435884459165538625242136872 y[1] (numeric) = 2.099435884459165538625242136872 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.494 y[1] (analytic) = 2.100157562825352766682871349382 y[1] (numeric) = 2.100157562825352766682871349382 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.495 y[1] (analytic) = 2.100879333173319945000928359556 y[1] (numeric) = 2.1008793331733199450009283595563 absolute error = 3e-31 relative error = 1.4279734931128020729170101237262e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.5MB, time=82.79 x[1] = 2.496 y[1] (analytic) = 2.101601195496849457065080111073 y[1] (numeric) = 2.1016011954968494570650801110725 absolute error = 5e-31 relative error = 2.3791383497086022558454865519322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.497 y[1] (analytic) = 2.102323149789726272317539633787 y[1] (numeric) = 2.1023231497897262723175396337861 absolute error = 9e-31 relative error = 4.2809784028207924585186789347229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.498 y[1] (analytic) = 2.1030451960457379446848322362 y[1] (numeric) = 2.103045196045737944684832236199 absolute error = 1.0e-30 relative error = 4.7550095541467933511955703931551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.499 y[1] (analytic) = 2.103767334258674611106721706973 y[1] (numeric) = 2.1037673342586746111067217069722 absolute error = 8e-31 relative error = 3.8027018813936663062930201360680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = 2.104489564422328990066295356978 y[1] (numeric) = 2.1044895644223289900662953569774 absolute error = 6e-31 relative error = 2.8510476371247616843882822281257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.5MB, time=83.16 x[1] = 2.501 y[1] (analytic) = 2.105211886530496380121206734814 y[1] (numeric) = 2.1052118865304963801212067348144 absolute error = 4e-31 relative error = 1.9000462735331679244698441728854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.502 y[1] (analytic) = 2.105934300576974658436074850157 y[1] (numeric) = 2.1059343005769746584360748501568 absolute error = 2e-31 relative error = 9.4969724338126253861880410992413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.503 y[1] (analytic) = 2.106656806555564279316038740716 y[1] (numeric) = 2.1066568065555642793160387407164 absolute error = 4e-31 relative error = 1.8987430641539085972777127601025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.504 y[1] (analytic) = 2.107379404460068272741466220046 y[1] (numeric) = 2.1073794044600682727414662200464 absolute error = 4e-31 relative error = 1.8980920054235986495198655916696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.505 y[1] (analytic) = 2.108102094284292242903815644831 y[1] (numeric) = 2.108102094284292242903815644831 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.506 y[1] (analytic) = 2.108824876022044366742649541729 y[1] (numeric) = 2.10882487602204436674264954173 absolute error = 1.0e-30 relative error = 4.7419774461610941799661567382116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.5MB, time=83.52 x[1] = 2.507 y[1] (analytic) = 2.109547749667135392483798935273 y[1] (numeric) = 2.1095477496671353924837989352735 absolute error = 5e-31 relative error = 2.3701762620869557426343115642575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.508 y[1] (analytic) = 2.110270715213378638178677219718 y[1] (numeric) = 2.1102707152133786381786772197183 absolute error = 3e-31 relative error = 1.4216185527157149452325024058779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.509 y[1] (analytic) = 2.110993772654589990244742419198 y[1] (numeric) = 2.1109937726545899902447424191985 absolute error = 5e-31 relative error = 2.3685527000453742272732485196626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = 2.111716921984587902007106681917 y[1] (numeric) = 2.1117169219845879020071066819171 absolute error = 1e-31 relative error = 4.7354831965839518574779179415286e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.511 y[1] (analytic) = 2.11244016319719339224129185554 y[1] (numeric) = 2.1124401631971933922412918555403 absolute error = 3e-31 relative error = 1.4201585693482926428291309892089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.512 y[1] (analytic) = 2.113163496286230043717129992369 y[1] (numeric) = 2.1131634962862300437171299923683 absolute error = 7e-31 relative error = 3.3125690521827200896232631901269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.5MB, time=83.89 x[1] = 2.513 y[1] (analytic) = 2.113886921245524001743807634266 y[1] (numeric) = 2.1138869212455240017438076342657 absolute error = 3e-31 relative error = 1.4191866035257784850456285734129e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.514 y[1] (analytic) = 2.114610438068903972716052728743 y[1] (numeric) = 2.1146104380689039727160527287435 absolute error = 5e-31 relative error = 2.3645017115143344613447691295419e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.515 y[1] (analytic) = 2.11533404675020122266146302899 y[1] (numeric) = 2.1153340467502012226614630289895 absolute error = 5e-31 relative error = 2.3636928681224254830238647389885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.516 y[1] (analytic) = 2.116057747283249575788974832049 y[1] (numeric) = 2.1160577472832495757889748320489 absolute error = 1e-31 relative error = 4.7257689507002986102521670464090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.517 y[1] (analytic) = 2.116781539661885413038470910758 y[1] (numeric) = 2.116781539661885413038470910758 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1621.3MB, alloc=4.5MB, time=84.26 x[1] = 2.518 y[1] (analytic) = 2.117505423879947670631526496433 y[1] (numeric) = 2.1175054238799476706315264964336 absolute error = 6e-31 relative error = 2.8335228483174695368616463296688e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.519 y[1] (analytic) = 2.118229399931277838623292170719 y[1] (numeric) = 2.1182293999312778386232921707196 absolute error = 6e-31 relative error = 2.8325543967025758684864338612480e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = 2.118953467809719959455512526386 y[1] (numeric) = 2.1189534678097199594555125263866 absolute error = 6e-31 relative error = 2.8315864841534096354257145596939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.521 y[1] (analytic) = 2.119677627509120626510679458274 y[1] (numeric) = 2.1196776275091206265106794582751 absolute error = 1.1e-30 relative error = 5.1894683687945226459768539462926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.522 y[1] (analytic) = 2.120401879023328982667318946965 y[1] (numeric) = 2.1204018790233289826673189469647 absolute error = 3e-31 relative error = 1.4148261372895121574101864649481e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.523 y[1] (analytic) = 2.121126222346196718856410199139 y[1] (numeric) = 2.1211262223461967188564101991402 absolute error = 1.2e-30 relative error = 5.6573719534364590927064678941666e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1625.1MB, alloc=4.5MB, time=84.62 x[1] = 2.524 y[1] (analytic) = 2.121850657471578072618936010016 y[1] (numeric) = 2.1218506574715780726189360100154 absolute error = 6e-31 relative error = 2.8277202162520098371439136900510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.525 y[1] (analytic) = 2.122575184393329826664563214559 y[1] (numeric) = 2.1225751843933298266645632145588 absolute error = 2e-31 relative error = 9.4225166425453898844054607822358e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.526 y[1] (analytic) = 2.123299803105311307431452095652 y[1] (numeric) = 2.1232998031053113074314520956512 absolute error = 8e-31 relative error = 3.7677204077822901949472291183311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.527 y[1] (analytic) = 2.124024513601384383647193618686 y[1] (numeric) = 2.1240245136013843836471936186854 absolute error = 6e-31 relative error = 2.8248261550553930277694213558840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.528 y[1] (analytic) = 2.124749315875413464890873363499 y[1] (numeric) = 2.124749315875413464890873363499 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.529 y[1] (analytic) = 2.125474209921265500156261025909 y[1] (numeric) = 2.1254742099212655001562610259086 absolute error = 4e-31 relative error = 1.8819329735119077504162708818011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.5MB, time=84.98 x[1] = 2.53 y[1] (analytic) = 2.12619919573280997641612436249 y[1] (numeric) = 2.1261991957328099764161243624895 absolute error = 5e-31 relative error = 2.3516140961932373084304587746050e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.531 y[1] (analytic) = 2.126924273303918917187666453619 y[1] (numeric) = 2.1269242733039189171876664536194 absolute error = 4e-31 relative error = 1.8806499367212943117428096594079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.532 y[1] (analytic) = 2.127649442628466881099085161176 y[1] (numeric) = 2.1276494426284668810990851611751 absolute error = 9e-31 relative error = 4.2300201432062662292714535891890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.533 y[1] (analytic) = 2.128374703700330960457253658643 y[1] (numeric) = 2.128374703700330960457253658643 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.534 y[1] (analytic) = 2.12910005651339077981652091277 y[1] (numeric) = 2.1291000565133907798165209127702 absolute error = 2e-31 relative error = 9.3936402560394238717901085845710e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.535 y[1] (analytic) = 2.12982550106152849454863099725 y[1] (numeric) = 2.1298255010615284945486309972502 absolute error = 2e-31 relative error = 9.3904406675719581979857494190929e-30 % Correct digits = 31 h = 0.001 memory used=1632.7MB, alloc=4.5MB, time=85.34 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.536 y[1] (analytic) = 2.130551037338628789413760120301 y[1] (numeric) = 2.1305510373386287894137601203008 absolute error = 2e-31 relative error = 9.3872428538407312119559154490797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.537 y[1] (analytic) = 2.131276665338578877132670249354 y[1] (numeric) = 2.1312766653385788771326702493537 absolute error = 3e-31 relative error = 1.4076070220209603782435638829034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.538 y[1] (analytic) = 2.132002385055268496959978217434 y[1] (numeric) = 2.132002385055268496959978217435 absolute error = 1.0e-30 relative error = 4.6904262725488307508692739974181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.539 y[1] (analytic) = 2.132728196482589913258539197176 y[1] (numeric) = 2.132728196482589913258539197175 absolute error = 1.0e-30 relative error = 4.6888300236722794870349997247493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (analytic) = 2.133454099614437914074943429741 y[1] (numeric) = 2.1334540996144379140749434297407 absolute error = 3e-31 relative error = 1.4061703978267758334956249232658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.5MB, time=85.71 x[1] = 2.541 y[1] (analytic) = 2.134180094444709809716125097338 y[1] (numeric) = 2.134180094444709809716125097339 absolute error = 1.0e-30 relative error = 4.6856401791161350076518112639507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.542 y[1] (analytic) = 2.134906180967305431327082229292 y[1] (numeric) = 2.1349061809673054313270822292914 absolute error = 6e-31 relative error = 2.8104279492419932853184145651512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.543 y[1] (analytic) = 2.135632359176127129469706533031 y[1] (numeric) = 2.1356323591761271294697065330304 absolute error = 6e-31 relative error = 2.8094723205611325469033935686812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.544 y[1] (analytic) = 2.136358629065079772702722042715 y[1] (numeric) = 2.1363586290650797727027220427162 absolute error = 1.2e-30 relative error = 5.6170344420362975842146944235676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.545 y[1] (analytic) = 2.13708499062807074616273147952 y[1] (numeric) = 2.1370849906280707461627314795202 absolute error = 2e-31 relative error = 9.3585421673483249900876198978789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.546 y[1] (analytic) = 2.137811443859009950146369218964 y[1] (numeric) = 2.1378114438590099501463692189643 absolute error = 3e-31 relative error = 1.4033043038560195600489426679522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.5MB, time=86.07 x[1] = 2.547 y[1] (analytic) = 2.138537988751809798693559762049 y[1] (numeric) = 2.138537988751809798693559762049 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.548 y[1] (analytic) = 2.139264625300385218171880608242 y[1] (numeric) = 2.1392646253003852181718806082428 absolute error = 8e-31 relative error = 3.7396028080802199001531406048320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.549 y[1] (analytic) = 2.139991353498653645862028429746 y[1] (numeric) = 2.139991353498653645862028429746 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = 2.140718173340535028544387447776 y[1] (numeric) = 2.1407181733405350285443874477762 absolute error = 2e-31 relative error = 9.3426590426849696932146305176685e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.551 y[1] (analytic) = 2.14144508481995182108669891296 y[1] (numeric) = 2.1414450848199518210866989129603 absolute error = 3e-31 relative error = 1.4009231529055220496014350466417e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.552 y[1] (analytic) = 2.142172087930828985032830593248 y[1] (numeric) = 2.1421720879308289850328305932484 absolute error = 4e-31 relative error = 1.8672636164649534540859670514332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1644.1MB, alloc=4.5MB, time=86.43 TOP MAIN SOLVE Loop x[1] = 2.553 y[1] (analytic) = 2.142899182667093987192645174099 y[1] (numeric) = 2.1428991826670939871926451740987 absolute error = 3e-31 relative error = 1.3999725345296653998071349238204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.554 y[1] (analytic) = 2.143626369022676798232966477009 y[1] (numeric) = 2.1436263690226767982329664770085 absolute error = 5e-31 relative error = 2.3324960320765239000945531677890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.555 y[1] (analytic) = 2.144353646991509891269642403797 y[1] (numeric) = 2.144353646991509891269642403797 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.556 y[1] (analytic) = 2.145081016567528240460703515368 y[1] (numeric) = 2.1450810165675282404607035153683 absolute error = 3e-31 relative error = 1.3985485754754748096477398376182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.557 y[1] (analytic) = 2.145808477744669319600616155007 y[1] (numeric) = 2.1458084777446693196006161550077 absolute error = 7e-31 relative error = 3.2621737086980290291419237954402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1648.0MB, alloc=4.5MB, time=86.80 x[1] = 2.558 y[1] (analytic) = 2.146536030516873100715629027586 y[1] (numeric) = 2.1465360305168731007156290275861 absolute error = 1e-31 relative error = 4.6586685980724299868881169488034e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.559 y[1] (analytic) = 2.147263674878082052660212147366 y[1] (numeric) = 2.1472636748780820526602121473665 absolute error = 5e-31 relative error = 2.3285449563076557988908583319880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = 2.147991410822241139714587068425 y[1] (numeric) = 2.1479914108222411397145870684241 absolute error = 9e-31 relative error = 4.1899608884166076733746271043324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.561 y[1] (analytic) = 2.148719238343297820183347313008 y[1] (numeric) = 2.1487192383432978201833473130089 absolute error = 9e-31 relative error = 4.1885416388504838181355007463211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.562 y[1] (analytic) = 2.149447157435202044995167914491 y[1] (numeric) = 2.1494471574352020449951679144915 absolute error = 5e-31 relative error = 2.3261795400293443488237893339517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.563 y[1] (analytic) = 2.150175168091906256303602992847 y[1] (numeric) = 2.150175168091906256303602992847 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1651.8MB, alloc=4.5MB, time=87.16 x[1] = 2.564 y[1] (analytic) = 2.150903270307365386088970281941 y[1] (numeric) = 2.1509032703073653860889702819408 absolute error = 2e-31 relative error = 9.2984190763455335816110450352721e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.565 y[1] (analytic) = 2.15163146407553685476132152919 y[1] (numeric) = 2.1516314640755368547613215291894 absolute error = 6e-31 relative error = 2.7885816415024126611097673902533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.566 y[1] (analytic) = 2.152359749390380569764497689476 y[1] (numeric) = 2.1523597493903805697644976894752 absolute error = 8e-31 relative error = 3.7168507737918182362355336355544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.567 y[1] (analytic) = 2.153088126245858924181267836499 y[1] (numeric) = 2.1530881262458589241812678364994 absolute error = 4e-31 relative error = 1.8577966926855106829885619303034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.568 y[1] (analytic) = 2.153816594635936795339550716059 y[1] (numeric) = 2.1538165946359367953395507160594 absolute error = 4e-31 relative error = 1.8571683447708446406464872878936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.569 y[1] (analytic) = 2.154545154554581543419717867039 y[1] (numeric) = 2.1545451545545815434197178670385 absolute error = 5e-31 relative error = 2.3206754286074230213263286560919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.5MB, time=87.53 x[1] = 2.57 y[1] (analytic) = 2.155273805995763010062977237196 y[1] (numeric) = 2.1552738059957630100629772371953 absolute error = 7e-31 relative error = 3.2478472018388929911725466066413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.571 y[1] (analytic) = 2.156002548953453516980836222135 y[1] (numeric) = 2.1560025489534535169808362221354 absolute error = 4e-31 relative error = 1.8552853761428261693842435900987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.572 y[1] (analytic) = 2.156731383421627864565643057146 y[1] (numeric) = 2.1567313834216278645656430571463 absolute error = 3e-31 relative error = 1.3909938080654888171028742283868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.573 y[1] (analytic) = 2.157460309394263330502205492867 y[1] (numeric) = 2.157460309394263330502205492867 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.574 y[1] (analytic) = 2.158189326865339668380485687058 y[1] (numeric) = 2.1581893268653396683804856870584 absolute error = 4e-31 relative error = 1.8534055146171057870419058223505e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.5MB, time=87.89 x[1] = 2.575 y[1] (analytic) = 2.158918435828839106309370246027 y[1] (numeric) = 2.1589184358288391063093702460274 absolute error = 4e-31 relative error = 1.8527795833399995150609881342575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.576 y[1] (analytic) = 2.159647636278746345531514350548 y[1] (numeric) = 2.1596476362787463455315143505482 absolute error = 2e-31 relative error = 9.2607699811908548820948022059945e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.577 y[1] (analytic) = 2.16037692820904855903925890241 y[1] (numeric) = 2.1603769282090485590392589024091 absolute error = 9e-31 relative error = 4.1659396943574081299622790544585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.578 y[1] (analytic) = 2.161106311613735390191619628998 y[1] (numeric) = 2.1611063116137353901916196289978 absolute error = 2e-31 relative error = 9.2545192675253697902460362989015e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.579 y[1] (analytic) = 2.16183578648679895133234708462 y[1] (numeric) = 2.1618357864867989513323470846207 absolute error = 7e-31 relative error = 3.2379887703569314779417430427801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = 2.162565352822233822409056488532 y[1] (numeric) = 2.1625653528222338224090564885324 absolute error = 4e-31 relative error = 1.8496550843098641441146860465841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.5MB, time=88.25 x[1] = 2.581 y[1] (analytic) = 2.163295010614037049593426340929 y[1] (numeric) = 2.1632950106140370495934263409302 absolute error = 1.2e-30 relative error = 5.5470936423940990766700259827029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.582 y[1] (analytic) = 2.164024759856208143902464759447 y[1] (numeric) = 2.1640247598562081439024647594462 absolute error = 8e-31 relative error = 3.6968153730974741454194766482140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.583 y[1] (analytic) = 2.164754600542749079820842479944 y[1] (numeric) = 2.1647546005427490798208424799439 absolute error = 1e-31 relative error = 4.6194612532491173158985345443363e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.584 y[1] (analytic) = 2.165484532667664293924291466701 y[1] (numeric) = 2.1654845326676642939242914666998 absolute error = 1.2e-30 relative error = 5.5414849743660733510599858850527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.585 y[1] (analytic) = 2.166214556224960683504068078323 y[1] (numeric) = 2.1662145562249606835040680783235 absolute error = 5e-31 relative error = 2.3081739459425696941325869465104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.586 y[1] (analytic) = 2.166944671208647605192479737037 y[1] (numeric) = 2.1669446712086476051924797370364 absolute error = 6e-31 relative error = 2.7688754954012763341147544932866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.5MB, time=88.62 x[1] = 2.587 y[1] (analytic) = 2.167674877612736873589474050203 y[1] (numeric) = 2.1676748776127368735894740502015 absolute error = 1.5e-30 relative error = 6.9198569190041632363130897049785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.588 y[1] (analytic) = 2.168405175431242759890289334257 y[1] (numeric) = 2.1684051754312427598902893342584 absolute error = 1.4e-30 relative error = 6.4563579531282673578074940168477e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.589 y[1] (analytic) = 2.169135564658181990514165492485 y[1] (numeric) = 2.1691355646581819905141654924856 absolute error = 6e-31 relative error = 2.7660788462271584972598248064156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = 2.169866045287573745734114199274 y[1] (numeric) = 2.1698660452875737457341141992728 absolute error = 1.2e-30 relative error = 5.5302953037405736557749316809583e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.591 y[1] (analytic) = 2.170596617313439658307747344848 y[1] (numeric) = 2.1705966173134396583077473448472 absolute error = 8e-31 relative error = 3.6856226238395448969468424376647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.592 y[1] (analytic) = 2.171327280729803812109162695659 y[1] (numeric) = 2.1713272807298038121091626956572 memory used=1670.8MB, alloc=4.5MB, time=88.98 absolute error = 1.8e-30 relative error = 8.2898603815957345185009211506643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.593 y[1] (analytic) = 2.172058035530692740761885726874 y[1] (numeric) = 2.1720580355306927407618857268735 absolute error = 5e-31 relative error = 2.3019642745311656785510842697703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.594 y[1] (analytic) = 2.172788881710135426272866584724 y[1] (numeric) = 2.172788881710135426272866584723 absolute error = 1.0e-30 relative error = 4.6023799570114271711233010394324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.595 y[1] (analytic) = 2.173519819262163297667531137627 y[1] (numeric) = 2.1735198192621632976675311376258 absolute error = 1.2e-30 relative error = 5.5209986555694695443850939821191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.596 y[1] (analytic) = 2.174250848180810229625885076355 y[1] (numeric) = 2.1742508481808102296258850763553 absolute error = 3e-31 relative error = 1.3797855948912664973941505677150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.597 y[1] (analytic) = 2.174981968460112541119670024693 y[1] (numeric) = 2.1749819684601125411196700246935 absolute error = 5e-31 relative error = 2.2988696331767754919502809139813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1674.7MB, alloc=4.5MB, time=89.34 x[1] = 2.598 y[1] (analytic) = 2.175713180094108994050570623301 y[1] (numeric) = 2.1757131800941089940505706233012 absolute error = 2e-31 relative error = 9.1923881249526252355736969632723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.599 y[1] (analytic) = 2.176444483076840791889471550769 y[1] (numeric) = 2.1764444830768407918894715507685 absolute error = 5e-31 relative error = 2.2973248520134532368606818315510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = 2.177175877402351578316763447057 y[1] (numeric) = 2.1771758774023515783167634470573 absolute error = 3e-31 relative error = 1.3779318571081094807112834775230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.601 y[1] (analytic) = 2.17790736306468743586369670579 y[1] (numeric) = 2.1779073630646874358636967057894 absolute error = 6e-31 relative error = 2.7549381124994112605602319524015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.602 y[1] (analytic) = 2.178638940057896884554782103077 y[1] (numeric) = 2.1786389400578968845547821030757 absolute error = 1.3e-30 relative error = 5.9670282032389119314015143031955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.603 y[1] (analytic) = 2.179370608376030880551237231821 y[1] (numeric) = 2.1793706083760308805512372318209 absolute error = 1e-31 relative error = 4.5884807116177229630776134633736e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.5MB, time=89.70 x[1] = 2.604 y[1] (analytic) = 2.180102368013142814795477711677 y[1] (numeric) = 2.180102368013142814795477711676 absolute error = 1.0e-30 relative error = 4.5869405706455866248580407056982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.605 y[1] (analytic) = 2.180834218963288511656652146049 y[1] (numeric) = 2.1808342189632885116566521460477 absolute error = 1.3e-30 relative error = 5.9610216526132186377410993551734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.606 y[1] (analytic) = 2.181566161220526227577219798807 y[1] (numeric) = 2.1815661612205262275772197988071 absolute error = 1e-31 relative error = 4.5838628127625866791990284003741e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.607 y[1] (analytic) = 2.182298194778916649720569964573 y[1] (numeric) = 2.1822981947789166497205699645723 absolute error = 7e-31 relative error = 3.2076276361989810765800314961158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.608 y[1] (analytic) = 2.183030319632522894619682007671 y[1] (numeric) = 2.1830303196325228946196820076715 absolute error = 5e-31 relative error = 2.2903942080115806333555374459721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.609 y[1] (analytic) = 2.183762535775410506826825046121 y[1] (numeric) = 2.1837625357754105068268250461215 absolute error = 5e-31 relative error = 2.2896262382414211342632191316022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=1682.3MB, alloc=4.5MB, time=90.07 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = 2.184494843201647457564296258183 y[1] (numeric) = 2.1844948432016474575642962581829 absolute error = 1e-31 relative error = 4.5777173753103316114446731421368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.611 y[1] (analytic) = 2.185227241905304143376196790282 y[1] (numeric) = 2.1852272419053041433761967902813 absolute error = 7e-31 relative error = 3.2033281783072983976153344386221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.612 y[1] (analytic) = 2.185959731880453384781244246305 y[1] (numeric) = 2.1859597318804533847812442463042 absolute error = 8e-31 relative error = 3.6597197484136945248047659607854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.613 y[1] (analytic) = 2.186692313121170424926620739509 y[1] (numeric) = 2.1866923131211704249266207395084 absolute error = 6e-31 relative error = 2.7438702573732988080296787370416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.614 y[1] (analytic) = 2.187424985621532928242855489492 y[1] (numeric) = 2.1874249856215329282428554894914 absolute error = 6e-31 relative error = 2.7429512049279100218259083740367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.5MB, time=90.43 x[1] = 2.615 y[1] (analytic) = 2.1881577493756209790997409479 y[1] (numeric) = 2.1881577493756209790997409478991 absolute error = 9e-31 relative error = 4.1130489803891431023609618480285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.616 y[1] (analytic) = 2.188890604377517080463281437761 y[1] (numeric) = 2.1888906043775170804632814377597 absolute error = 1.3e-30 relative error = 5.9390816398049170111508092887950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.617 y[1] (analytic) = 2.189623550621306152553673292548 y[1] (numeric) = 2.1896235506213061525536732925476 absolute error = 4e-31 relative error = 1.8267980351531198782029929641264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.618 y[1] (analytic) = 2.190356588101075531504315482297 y[1] (numeric) = 2.1903565881010755315043154822965 absolute error = 5e-31 relative error = 2.2827333353674335673261242562090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.619 y[1] (analytic) = 2.19108971681091496802184971529 y[1] (numeric) = 2.1910897168109149680218497152899 absolute error = 1e-31 relative error = 4.5639390862345836877783112002415e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (analytic) = 2.191822936744916626047229005072 y[1] (numeric) = 2.1918229367449166260472290050703 absolute error = 1.7e-30 relative error = 7.7561009673741051846087774282626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.5MB, time=90.80 x[1] = 2.621 y[1] (analytic) = 2.192556247897175081417813693715 y[1] (numeric) = 2.1925562478971750814178136937141 absolute error = 9e-31 relative error = 4.1047977713829102625780333216424e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.622 y[1] (analytic) = 2.193289650261787320530493923528 y[1] (numeric) = 2.1932896502617873205304939235277 absolute error = 3e-31 relative error = 1.3678083966893862399029579430225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.623 y[1] (analytic) = 2.194023143832852739005837550524 y[1] (numeric) = 2.1940231438328527390058375505238 absolute error = 2e-31 relative error = 9.1156741241393486239201006790074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.624 y[1] (analytic) = 2.194756728604473140353262494242 y[1] (numeric) = 2.1947567286044731403532624942412 absolute error = 8e-31 relative error = 3.6450509050662605521658962658441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.625 y[1] (analytic) = 2.195490404570752734637232519672 y[1] (numeric) = 2.1954904045707527346372325196725 absolute error = 5e-31 relative error = 2.2773955147290046101781335171355e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.626 y[1] (analytic) = 2.196224171725798137144475448263 y[1] (numeric) = 2.1962241717257981371444754482634 absolute error = 4e-31 relative error = 1.8213077023265755973161478419772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.5MB, time=91.15 x[1] = 2.627 y[1] (analytic) = 2.196958030063718367052222796146 y[1] (numeric) = 2.1969580300637183670522227961463 absolute error = 3e-31 relative error = 1.3655244929339824526099081155802e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.628 y[1] (analytic) = 2.197691979578624846097469838969 y[1] (numeric) = 2.1976919795786248460974698389672 absolute error = 1.8e-30 relative error = 8.1904107432977189039394013508467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.629 y[1] (analytic) = 2.198426020264631397247255103859 y[1] (numeric) = 2.1984260202646313972472551038588 absolute error = 2e-31 relative error = 9.0974177960250568801472997343787e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = 2.199160152115854243369958290307 y[1] (numeric) = 2.1991601521158542433699582903071 absolute error = 1e-31 relative error = 4.5471904310283213485372843919377e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.631 y[1] (analytic) = 2.19989437512641200590761562285 y[1] (numeric) = 2.1998943751264120059076156228487 absolute error = 1.3e-30 relative error = 5.9093746258853832924966059182160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1697.6MB, alloc=4.5MB, time=91.52 x[1] = 2.632 y[1] (analytic) = 2.200628689290425703549251639728 y[1] (numeric) = 2.2006286892904257035492516397272 absolute error = 8e-31 relative error = 3.6353247773841997039865761765297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.633 y[1] (analytic) = 2.201363094602018750905226422826 y[1] (numeric) = 2.2013630946020187509052264228245 absolute error = 1.5e-30 relative error = 6.8139599672501224969649935044277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.634 y[1] (analytic) = 2.202097591055316957182597275368 y[1] (numeric) = 2.2020975910553169571825972753681 absolute error = 1e-31 relative error = 4.5411248078281916586704706320230e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.635 y[1] (analytic) = 2.202832178644448524861493855102 y[1] (numeric) = 2.2028321786444485248614938551026 absolute error = 6e-31 relative error = 2.7237662760547675463132900549358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.636 y[1] (analytic) = 2.203566857363544048372505771796 y[1] (numeric) = 2.2035668573635440483725057717942 absolute error = 1.8e-30 relative error = 8.1685744817999698946525294723127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.637 y[1] (analytic) = 2.204301627206736512775081659119 y[1] (numeric) = 2.20430162720673651277508165912 absolute error = 1.0e-30 relative error = 4.5365842299322144429889243818770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1701.4MB, alloc=4.5MB, time=91.88 x[1] = 2.638 y[1] (analytic) = 2.205036488168161292436938732172 y[1] (numeric) = 2.2050364881681612924369387321729 absolute error = 9e-31 relative error = 4.0815651116398391025904540644857e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.639 y[1] (analytic) = 2.205771440241956149714481842991 y[1] (numeric) = 2.2057714402419561497144818429906 absolute error = 4e-31 relative error = 1.8134245130861023329850656176128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = 2.206506483422261233634231047695 y[1] (numeric) = 2.206506483422261233634231047695 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.641 y[1] (analytic) = 2.207241617703219078575256700002 y[1] (numeric) = 2.2072416177032190785752567000014 absolute error = 6e-31 relative error = 2.7183249680854590468130111435913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.642 y[1] (analytic) = 2.207976843078974602952621087031 y[1] (numeric) = 2.2079768430789746029526210870306 absolute error = 4e-31 relative error = 1.8116132026195025482064797590172e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.643 y[1] (analytic) = 2.20871215954367510790182562453 y[1] (numeric) = 2.2087121595436751079018256245291 absolute error = 9e-31 relative error = 4.0747726955328666323879986756812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.5MB, time=92.24 x[1] = 2.644 y[1] (analytic) = 2.209447567091470275964262629772 y[1] (numeric) = 2.2094475670914702759642626297717 absolute error = 3e-31 relative error = 1.3578054734963534704390214026606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.645 y[1] (analytic) = 2.210183065716512169773670691589 y[1] (numeric) = 2.2101830657165121697736706915884 absolute error = 6e-31 relative error = 2.7147072534712771475854978526535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.646 y[1] (analytic) = 2.210918655412955230743592658126 y[1] (numeric) = 2.2109186554129552307435926581257 absolute error = 3e-31 relative error = 1.3569020247104750270829107995431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.647 y[1] (analytic) = 2.211654336174956277755835264117 y[1] (numeric) = 2.2116543361749562777558352641155 absolute error = 1.5e-30 relative error = 6.7822533361801987313377422769129e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.648 y[1] (analytic) = 2.212390107996674505849929420589 y[1] (numeric) = 2.212390107996674505849929420589 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.5MB, time=92.60 x[1] = 2.649 y[1] (analytic) = 2.213125970872271484913590191135 y[1] (numeric) = 2.213125970872271484913590191135 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = 2.21386192479591115837417547996 y[1] (numeric) = 2.2138619247959111583741754799601 absolute error = 1e-31 relative error = 4.5169935342385311487002880499285e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.651 y[1] (analytic) = 2.214597969761759841891142458171 y[1] (numeric) = 2.2145979697617598418911424581695 absolute error = 1.5e-30 relative error = 6.7732383957769352539950543121168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.652 y[1] (analytic) = 2.215334105763986222049500755842 y[1] (numeric) = 2.2153341057639862220495007558411 absolute error = 9e-31 relative error = 4.0625926250055339660361785341536e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.653 y[1] (analytic) = 2.216070332796761355054261448622 y[1] (numeric) = 2.2160703327967613550542614486222 absolute error = 2e-31 relative error = 9.0249843175145405384334416176536e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.654 y[1] (analytic) = 2.216806650854258665425880868732 y[1] (numeric) = 2.2168066508542586654258808687315 absolute error = 5e-31 relative error = 2.2554966614130386302065485632595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.5MB, time=92.97 x[1] = 2.655 y[1] (analytic) = 2.217543059930653944696698271401 y[1] (numeric) = 2.2175430599306539446966982714007 absolute error = 3e-31 relative error = 1.3528485891470421832890967654764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.656 y[1] (analytic) = 2.21827956002012535010836638894 y[1] (numeric) = 2.2182795600201253501083663889397 absolute error = 3e-31 relative error = 1.3523994243416201734729826985474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.657 y[1] (analytic) = 2.219016151116853403310273905761 y[1] (numeric) = 2.2190161511168534033102739057598 absolute error = 1.2e-30 relative error = 5.4078020089940660962863388004828e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.658 y[1] (analytic) = 2.219752833215020989058958888835 y[1] (numeric) = 2.2197528332150209890589588888338 absolute error = 1.2e-30 relative error = 5.4060072907394707965151434790852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.659 y[1] (analytic) = 2.220489606308813353918512209221 y[1] (numeric) = 2.2204896063088133539185122092196 absolute error = 1.4e-30 relative error = 6.3049157988506061964350075931144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = 2.221226470392418104961969991418 y[1] (numeric) = 2.221226470392418104961969991417 absolute error = 1.0e-30 relative error = 4.5020173013845485562238385066130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.5MB, time=93.33 x[1] = 2.661 y[1] (analytic) = 2.221963425460025208473694128469 y[1] (numeric) = 2.2219634254600252084736941284684 absolute error = 6e-31 relative error = 2.7003144746893334982939719227763e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.662 y[1] (analytic) = 2.222700471505826988652739901859 y[1] (numeric) = 2.222700471505826988652739901857 absolute error = 2.0e-30 relative error = 8.9980635071582421203653197310621e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.663 y[1] (analytic) = 2.223437608524018126317209746394 y[1] (numeric) = 2.2234376085240181263172097463929 absolute error = 1.1e-30 relative error = 4.9472942068755041762220260356285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.664 y[1] (analytic) = 2.224174836508795657609592201418 y[1] (numeric) = 2.2241748365087956576095922014171 absolute error = 9e-31 relative error = 4.0464444846102856535833958696213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.665 y[1] (analytic) = 2.224912155454358972703085090787 y[1] (numeric) = 2.2249121554543589727030850907868 absolute error = 2e-31 relative error = 8.9891189416041071303270912042520e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.5MB, time=93.69 x[1] = 2.666 y[1] (analytic) = 2.225649565354909814508901975242 y[1] (numeric) = 2.2256495653549098145089019752419 absolute error = 1e-31 relative error = 4.4930703178356675602349330245902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.667 y[1] (analytic) = 2.226387066204652277384560921885 y[1] (numeric) = 2.2263870662046522773845609218844 absolute error = 6e-31 relative error = 2.6949491807048040552770194919393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.668 y[1] (analytic) = 2.227124657997792805843154636634 y[1] (numeric) = 2.2271246579977928058431546366324 absolute error = 1.6e-30 relative error = 7.1841510723446252716531924852183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.669 y[1] (analytic) = 2.227862340728540193263601006644 y[1] (numeric) = 2.2278623407285401932636010066425 absolute error = 1.5e-30 relative error = 6.7329115115320829679995812922251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = 2.22860011439110558060187310082 y[1] (numeric) = 2.2286001143911055806018731008195 absolute error = 5e-31 relative error = 2.2435608648284089719586385042930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.671 y[1] (analytic) = 2.22933797897970245510320767766 y[1] (numeric) = 2.2293379789797024551032076776604 absolute error = 4e-31 relative error = 1.7942546342078977177798810959721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1724.3MB, alloc=4.5MB, time=94.06 x[1] = 2.672 y[1] (analytic) = 2.230075934488546649015291250805 y[1] (numeric) = 2.2300759344885466490152912508044 absolute error = 6e-31 relative error = 2.6904913448052883518049443424490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.673 y[1] (analytic) = 2.230813980911856338302422763783 y[1] (numeric) = 2.2308139809118563383024227637832 absolute error = 2e-31 relative error = 8.9653373930465059543560975461134e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.674 y[1] (analytic) = 2.231552118243852041360651926588 y[1] (numeric) = 2.2315521182438520413606519265874 absolute error = 6e-31 relative error = 2.6887115702777201258078678683295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.675 y[1] (analytic) = 2.232290346478756617733892267787 y[1] (numeric) = 2.232290346478756617733892267786 absolute error = 1.0e-30 relative error = 4.4797040025613729296147471812289e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.676 y[1] (analytic) = 2.233028665610795266831007957054 y[1] (numeric) = 2.2330286656107952668310079570534 absolute error = 6e-31 relative error = 2.6869337113318398027952938970395e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.677 y[1] (analytic) = 2.233767075634195526643873454077 y[1] (numeric) = 2.2337670756341955266438734540758 absolute error = 1.2e-30 relative error = 5.3720909986073834130442532473944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1728.1MB, alloc=4.5MB, time=94.43 x[1] = 2.678 y[1] (analytic) = 2.234505576543187272466405040924 y[1] (numeric) = 2.2345055765431872724664050409243 absolute error = 3e-31 relative error = 1.3425788825468244160328720855849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.679 y[1] (analytic) = 2.235244168332002715614563296097 y[1] (numeric) = 2.2352441683320027156145632960956 absolute error = 1.4e-30 relative error = 6.2632978528010941237660678791152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = 2.235982850994876402147325569533 y[1] (numeric) = 2.2359828509948764021473255695335 absolute error = 5e-31 relative error = 2.2361531072455694559611515799973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.681 y[1] (analytic) = 2.236721624526045211588627519057 y[1] (numeric) = 2.2367216245260452115886275190559 absolute error = 1.1e-30 relative error = 4.9179119472817132156084310233255e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.682 y[1] (analytic) = 2.237460488919748355650272769721 y[1] (numeric) = 2.2374604889197483556502727697198 absolute error = 1.2e-30 relative error = 5.3632231985440023029151956505202e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.5MB, time=94.80 x[1] = 2.683 y[1] (analytic) = 2.238199444170227376955809758767 y[1] (numeric) = 2.2381994441702273769558097587659 absolute error = 1.1e-30 relative error = 4.9146647894366063939908339144391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.684 y[1] (analytic) = 2.23893849027172614776537482989 y[1] (numeric) = 2.2389384902717261477653748298896 absolute error = 4e-31 relative error = 1.7865609159787791600085033367449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.685 y[1] (analytic) = 2.239677627218490868701500641691 y[1] (numeric) = 2.2396776272184908687015006416898 absolute error = 1.2e-30 relative error = 5.3579139489387526604374497236865e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.686 y[1] (analytic) = 2.240416855004770067475888956252 y[1] (numeric) = 2.2404168550047700674758889562507 absolute error = 1.3e-30 relative error = 5.8024916081843714407784533136780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.687 y[1] (analytic) = 2.241156173624814597617146874914 y[1] (numeric) = 2.2411561736248145976171468749125 absolute error = 1.5e-30 relative error = 6.6929739999953729879273634344382e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.688 y[1] (analytic) = 2.241895583072877637199485589387 y[1] (numeric) = 2.2418955830728776371994855893871 absolute error = 1e-31 relative error = 4.4605110405246418181039545721514e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.5MB, time=95.16 x[1] = 2.689 y[1] (analytic) = 2.242635083343214687572380717474 y[1] (numeric) = 2.2426350833432146875723807174731 absolute error = 9e-31 relative error = 4.0131361837893056444686579537863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = 2.243374674430083572091193293723 y[1] (numeric) = 2.2433746744300835720911932937228 absolute error = 2e-31 relative error = 8.9151403142593133365956644372235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.691 y[1] (analytic) = 2.244114356327744434848750486507 y[1] (numeric) = 2.2441143563277444348487504865064 absolute error = 6e-31 relative error = 2.6736605392152852649000570108617e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.692 y[1] (analytic) = 2.244854129030459739407885114017 y[1] (numeric) = 2.2448541290304597394078851140152 absolute error = 1.8e-30 relative error = 8.0183383709542418569935007796801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.693 y[1] (analytic) = 2.245593992532494267534933032838 y[1] (numeric) = 2.2455939925324942675349330328369 absolute error = 1.1e-30 relative error = 4.8984812199264143875397662541901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.694 y[1] (analytic) = 2.246333946828115117934187473828 y[1] (numeric) = 2.2463339468281151179341874738266 absolute error = 1.4e-30 relative error = 6.2323769890796434568406752915838e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.5MB, time=95.52 x[1] = 2.695 y[1] (analytic) = 2.247073991911591704983309401087 y[1] (numeric) = 2.2470739919115917049833094010863 absolute error = 7e-31 relative error = 3.1151622177092093638401578405968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.696 y[1] (analytic) = 2.247814127777195757469692970957 y[1] (numeric) = 2.2478141277771957574696929709551 absolute error = 1.9e-30 relative error = 8.4526561894993515494402633155974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.697 y[1] (analytic) = 2.248554354419201317327785168997 y[1] (numeric) = 2.2485543544192013173277851689963 absolute error = 7e-31 relative error = 3.1131113136057993803553023485776e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.698 y[1] (analytic) = 2.249294671831884738377358704055 y[1] (numeric) = 2.2492946718318847383773587040539 absolute error = 1.1e-30 relative error = 4.8904219343752371467594871517135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.699 y[1] (analytic) = 2.250035080009524685062737239533 y[1] (numeric) = 2.250035080009524685062737239534 absolute error = 1.0e-30 relative error = 4.4443751516788212592577019634151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.5MB, time=95.89 x[1] = 2.7 y[1] (analytic) = 2.250775578946402131192972043149 y[1] (numeric) = 2.2507755789464021311929720431478 absolute error = 1.2e-30 relative error = 5.3314955574634643747546094843606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.701 y[1] (analytic) = 2.251516168636800358682969137436 y[1] (numeric) = 2.2515161686368003586829691374341 absolute error = 1.9e-30 relative error = 8.4387579643737188128635518491279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.702 y[1] (analytic) = 2.252256849075004956295566034459 y[1] (numeric) = 2.2522568490750049562955660344569 absolute error = 2.1e-30 relative error = 9.3239809698545866048581243873368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.703 y[1] (analytic) = 2.252997620255303818384557139152 y[1] (numeric) = 2.2529976202553038183845571391518 absolute error = 2e-31 relative error = 8.8770621949141926415355950506854e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.704 y[1] (analytic) = 2.253738482171987143638666906871 y[1] (numeric) = 2.2537384821719871436386669068707 absolute error = 3e-31 relative error = 1.3311216113720616659481698825825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.705 y[1] (analytic) = 2.254479434819347433826469841748 y[1] (numeric) = 2.2544794348193474338264698417477 absolute error = 3e-31 relative error = 1.3306841276378249608757945601280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.5MB, time=96.25 x[1] = 2.706 y[1] (analytic) = 2.255220478191679492542256423584 y[1] (numeric) = 2.2552204781916794925422564235828 absolute error = 1.2e-30 relative error = 5.3209875114392588510291271914790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.707 y[1] (analytic) = 2.255961612283280423952844052012 y[1] (numeric) = 2.2559616122832804239528440520109 absolute error = 1.1e-30 relative error = 4.8759694934998447547609377041845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.708 y[1] (analytic) = 2.256702837088449631545332097794 y[1] (numeric) = 2.2567028370884496315453320977936 absolute error = 4e-31 relative error = 1.7724974392998572964433610878954e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.709 y[1] (analytic) = 2.25744415260148881687580015214 y[1] (numeric) = 2.2574441526014888168758001521397 absolute error = 3e-31 relative error = 1.3289365305196084153468484361672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (analytic) = 2.258185558816701978318948566027 y[1] (numeric) = 2.2581855588167019783189485660266 absolute error = 4e-31 relative error = 1.7713336197650717277658728639528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.711 y[1] (analytic) = 2.258927055728395409818680372561 y[1] (numeric) = 2.2589270557283954098186803725609 absolute error = 1e-31 relative error = 4.4268804407123631564849347730665e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1751.0MB, alloc=4.5MB, time=96.62 x[1] = 2.712 y[1] (analytic) = 2.25966864333087769963962368648 y[1] (numeric) = 2.2596686433308776996396236864801 absolute error = 1e-31 relative error = 4.4254276083857329930721383390449e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.713 y[1] (analytic) = 2.260410321618459729119593675961 y[1] (numeric) = 2.26041032161845972911959367596 absolute error = 1.0e-30 relative error = 4.4239755518546622662356267965516e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.714 y[1] (analytic) = 2.261152090585454671422993202953 y[1] (numeric) = 2.2611520905854546714229932029524 absolute error = 6e-31 relative error = 2.6535145623249462639189038213544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.715 y[1] (analytic) = 2.261893950226177990295151229341 y[1] (numeric) = 2.261893950226177990295151229339 absolute error = 2.0e-30 relative error = 8.8421475277389113854267009579425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.716 y[1] (analytic) = 2.262635900534947438817598087245 y[1] (numeric) = 2.2626359005349474388175980872434 absolute error = 1.6e-30 relative error = 7.0713984500189241717165557286266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1754.8MB, alloc=4.5MB, time=96.98 x[1] = 2.717 y[1] (analytic) = 2.263377941506083058164276712902 y[1] (numeric) = 2.263377941506083058164276712901 absolute error = 1.0e-30 relative error = 4.4181750721427731931689845217606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.718 y[1] (analytic) = 2.264120073133907176358688944543 y[1] (numeric) = 2.2641200731339071763586889445418 absolute error = 1.2e-30 relative error = 5.3000722631243074928332291326395e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.719 y[1] (analytic) = 2.264862295412744407031975985795 y[1] (numeric) = 2.2648622954127444070319759857937 absolute error = 1.3e-30 relative error = 5.7398633136902937050953497176087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = 2.265604608336921648181932137169 y[1] (numeric) = 2.2656046083369216481819321371667 absolute error = 2.3e-30 relative error = 1.0151815508922037638570642809891e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.721 y[1] (analytic) = 2.266347011900768080932950899231 y[1] (numeric) = 2.26634701190076808093295089923 absolute error = 1.0e-30 relative error = 4.4123869590531397517571612102231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.722 y[1] (analytic) = 2.267089506098615168296902552141 y[1] (numeric) = 2.2670895060986151682969025521411 absolute error = 1e-31 relative error = 4.4109418587573905104789399384026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.5MB, time=97.34 x[1] = 2.723 y[1] (analytic) = 2.267832090924796653934942317238 y[1] (numeric) = 2.2678320909247966539349423172366 absolute error = 1.4e-30 relative error = 6.1732965399087178522746190758221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.724 y[1] (analytic) = 2.26857476637364856092024820744 y[1] (numeric) = 2.2685747663736485609202482074384 absolute error = 1.6e-30 relative error = 7.0528863483641072844410220060267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.725 y[1] (analytic) = 2.269317532439509190501687674277 y[1] (numeric) = 2.2693175324395091905016876742752 absolute error = 1.8e-30 relative error = 7.9319001165297730580630605687788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.726 y[1] (analytic) = 2.270060389116719120868412160363 y[1] (numeric) = 2.2700603891167191208684121603627 absolute error = 3e-31 relative error = 1.3215507456906468045419003056524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.727 y[1] (analytic) = 2.270803336399621205915378667228 y[1] (numeric) = 2.2708033363996212059153786672276 absolute error = 4e-31 relative error = 1.7614911586055864324257615944616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.728 y[1] (analytic) = 2.271546374282560574009797449403 y[1] (numeric) = 2.2715463742825605740097974494008 absolute error = 2.2e-30 relative error = 9.6850322974138813310175926708329e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.5MB, time=97.70 x[1] = 2.729 y[1] (analytic) = 2.272289502759884626758504946746 y[1] (numeric) = 2.2722895027598846267585049467459 absolute error = 1e-31 relative error = 4.4008476859370991798696683810674e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = 2.273032721825943037776261068025 y[1] (numeric) = 2.2730327218259430377762610680243 absolute error = 7e-31 relative error = 3.0795861110071707112839030223267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.731 y[1] (analytic) = 2.27377603147508775145496993974 y[1] (numeric) = 2.2737760314750877514549699397378 absolute error = 2.2e-30 relative error = 9.6755351870464289118292100136466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.732 y[1] (analytic) = 2.274519431701672981733823235322 y[1] (numeric) = 2.2745194317016729817338232353212 absolute error = 8e-31 relative error = 3.5172264912306467785304223207559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.733 y[1] (analytic) = 2.275262922500055210870365200793 y[1] (numeric) = 2.2752629225000552108703652007932 absolute error = 2e-31 relative error = 8.7901929057165984234945037975970e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.5MB, time=98.07 x[1] = 2.734 y[1] (analytic) = 2.276006503864593188212478494006 y[1] (numeric) = 2.2760065038645931882124784940054 absolute error = 6e-31 relative error = 2.6361963332759258849353655509715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.735 y[1] (analytic) = 2.276750175789647928971289955661 y[1] (numeric) = 2.2767501757896479289712899556589 absolute error = 2.1e-30 relative error = 9.2236733846815430306395436175485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.736 y[1] (analytic) = 2.27749393826958271299499543129 y[1] (numeric) = 2.2774939382695827129949954312884 absolute error = 1.6e-30 relative error = 7.0252656795901907768702241292127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.737 y[1] (analytic) = 2.278237791298763083543602764442 y[1] (numeric) = 2.2782377912987630835436027644408 absolute error = 1.2e-30 relative error = 5.2672289283548042258046505933123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.738 y[1] (analytic) = 2.278981734871556846064592082304 y[1] (numeric) = 2.2789817348715568460645920823023 absolute error = 1.7e-30 relative error = 7.4594718070253064514299790566485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.739 y[1] (analytic) = 2.279725768982334066969492496053 y[1] (numeric) = 2.2797257689823340669694924960521 absolute error = 9e-31 relative error = 3.9478432548567390144525931003360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.5MB, time=98.43 x[1] = 2.74 y[1] (analytic) = 2.280469893625467072411374339247 y[1] (numeric) = 2.2804698936254670724113743392448 absolute error = 2.2e-30 relative error = 9.6471345933993591068680724362293e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.741 y[1] (analytic) = 2.281214108795330447063256068548 y[1] (numeric) = 2.2812141087953304470632560685464 absolute error = 1.6e-30 relative error = 7.0138089793111625666257598570918e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.742 y[1] (analytic) = 2.281958414486301032897424952169 y[1] (numeric) = 2.2819584144863010328974249521681 absolute error = 9e-31 relative error = 3.9439807241298999851660292449349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.743 y[1] (analytic) = 2.282702810692757927965670672363 y[1] (numeric) = 2.2827028106927579279656706723628 absolute error = 2e-31 relative error = 8.7615435116279421722460493101454e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.744 y[1] (analytic) = 2.283447297409082485180430969367 y[1] (numeric) = 2.2834472974090824851804309693664 absolute error = 6e-31 relative error = 2.6276060791102604436779197346785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.745 y[1] (analytic) = 2.284191874629658311096848455184 y[1] (numeric) = 2.2841918746296583110968484551827 absolute error = 1.3e-30 relative error = 5.6912907117786338392605125332150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.5MB, time=98.80 x[1] = 2.746 y[1] (analytic) = 2.284936542348871264695737726626 y[1] (numeric) = 2.284936542348871264695737726626 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.747 y[1] (analytic) = 2.28568130056110945616746190805 y[1] (numeric) = 2.2856813005611094561674619080489 absolute error = 1.1e-30 relative error = 4.8125694502114628898717003591640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.748 y[1] (analytic) = 2.286426149260763245696717755196 y[1] (numeric) = 2.2864261492607632456967177551956 absolute error = 4e-31 relative error = 1.7494551491607378380730767746352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.749 y[1] (analytic) = 2.287171088442225242248228452632 y[1] (numeric) = 2.2871710884422252422482284526315 absolute error = 5e-31 relative error = 2.1861066822969775328153099299964e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = 2.28791611809989030235334323821 y[1] (numeric) = 2.2879161180998903023533432382099 absolute error = 1e-31 relative error = 4.3707896110741069154122528722566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1777.7MB, alloc=4.5MB, time=99.16 x[1] = 2.751 y[1] (analytic) = 2.288661238228155528897542989046 y[1] (numeric) = 2.2886612382281555288975429890444 absolute error = 1.6e-30 relative error = 6.9909865788555675095440155170548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.752 y[1] (analytic) = 2.289406448821420269908850904462 y[1] (numeric) = 2.2894064488214202699088509044627 absolute error = 7e-31 relative error = 3.0575610563181472143107881358412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.753 y[1] (analytic) = 2.290151749874086117347147422424 y[1] (numeric) = 2.2901517498740861173471474224229 absolute error = 1.1e-30 relative error = 4.8031751610367245024649019049073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.754 y[1] (analytic) = 2.290897141380556905894388506878 y[1] (numeric) = 2.290897141380556905894388506877 absolute error = 1.0e-30 relative error = 4.3651021337316472027820698477178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.755 y[1] (analytic) = 2.291642623335238711745726444571 y[1] (numeric) = 2.2916426233352387117457264445697 absolute error = 1.3e-30 relative error = 5.6727867895387204380282919674051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.756 y[1] (analytic) = 2.292388195732539851401532290762 y[1] (numeric) = 2.2923881957325398514015322907616 absolute error = 4e-31 relative error = 1.7449051637267689867220879988005e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1781.5MB, alloc=4.5MB, time=99.52 x[1] = 2.757 y[1] (analytic) = 2.293133858566870880460319104365 y[1] (numeric) = 2.293133858566870880460319104365 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.758 y[1] (analytic) = 2.293879611832644592412565113981 y[1] (numeric) = 2.2938796118326445924125651139806 absolute error = 4e-31 relative error = 1.7437706753948992559944902542927e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.759 y[1] (analytic) = 2.29462545552427601743543595732 y[1] (numeric) = 2.2946254555242760174354359573193 absolute error = 7e-31 relative error = 3.0506067921226996151598170872474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = 2.295371389636182421188405137489 y[1] (numeric) = 2.2953713896361824211884051374895 absolute error = 5e-31 relative error = 2.1782967334068334115993666098256e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.761 y[1] (analytic) = 2.296117414162783303609771840626 y[1] (numeric) = 2.2961174141627833036097718406253 absolute error = 7e-31 relative error = 3.0486245854950581453615259764090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.762 y[1] (analytic) = 2.296863529098500397714075260323 y[1] (numeric) = 2.2968635290985003977140752603229 absolute error = 1e-31 relative error = 4.3537632398756036799430290348835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.5MB, time=99.89 x[1] = 2.763 y[1] (analytic) = 2.297609734437757668390404575346 y[1] (numeric) = 2.2976097344377576683904045753455 absolute error = 5e-31 relative error = 2.1761746240266245627664717804159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.764 y[1] (analytic) = 2.298356030174981311201603728046 y[1] (numeric) = 2.2983560301749813112016037280463 absolute error = 3e-31 relative error = 1.3052808009782541192969766029200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.765 y[1] (analytic) = 2.29910241630459975118437015195 y[1] (numeric) = 2.2991024163045997511843701519489 absolute error = 1.1e-30 relative error = 4.7844758554429920815169279856935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.766 y[1] (analytic) = 2.299848892821043641650246597914 y[1] (numeric) = 2.2998488928210436416502465979122 absolute error = 1.8e-30 relative error = 7.8266011546179525634106101477522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.767 y[1] (analytic) = 2.300595459718745862987505209292 y[1] (numeric) = 2.3005954597187458629875052092919 absolute error = 1e-31 relative error = 4.3467007455637279085324692362486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.5MB, time=100.26 x[1] = 2.768 y[1] (analytic) = 2.301342116992141521463922997499 y[1] (numeric) = 2.3013421169921415214639229974977 absolute error = 1.3e-30 relative error = 5.6488776284123390001799562631025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.769 y[1] (analytic) = 2.302088864635667948030447870328 y[1] (numeric) = 2.302088864635667948030447870327 absolute error = 1.0e-30 relative error = 4.3438809655085209170129923393823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = 2.302835702643764697125754366439 y[1] (numeric) = 2.3028357026437646971257543664393 absolute error = 3e-31 relative error = 1.3027416574078027349802494138675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.771 y[1] (analytic) = 2.303582631010873545481688250317 y[1] (numeric) = 2.303582631010873545481688250316 absolute error = 1.0e-30 relative error = 4.3410641603994613733536913609610e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.772 y[1] (analytic) = 2.30432964973143849092959912303 y[1] (numeric) = 2.3043296497314384909295991230303 absolute error = 3e-31 relative error = 1.3018970616246852699761278351029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.773 y[1] (analytic) = 2.30507675879990575120756020513 y[1] (numeric) = 2.3050767587999057512075602051291 absolute error = 9e-31 relative error = 3.9044252932755603068505774973485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.5MB, time=100.62 x[1] = 2.774 y[1] (analytic) = 2.305823958210723762768474448908 y[1] (numeric) = 2.305823958210723762768474448907 absolute error = 1.0e-30 relative error = 4.3368445211922478445999937890864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.775 y[1] (analytic) = 2.306571247958343179589066138328 y[1] (numeric) = 2.3065712479583431795890661383273 absolute error = 7e-31 relative error = 3.0348076202701458611172833939442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.776 y[1] (analytic) = 2.30731862803721687197975713582 y[1] (numeric) = 2.3073186280372168719797571358196 absolute error = 4e-31 relative error = 1.7336140537307187673344593787930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.777 y[1] (analytic) = 2.308066098441799925395426936157 y[1] (numeric) = 2.3080660984417999253954269361554 absolute error = 1.6e-30 relative error = 6.9322104816676484654010269516546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.778 y[1] (analytic) = 2.308813659166549639247055688578 y[1] (numeric) = 2.3088136591665496392470556885763 absolute error = 1.7e-30 relative error = 7.3630888021239310488080510253471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.779 y[1] (analytic) = 2.309561310205925525714249349319 y[1] (numeric) = 2.3095613102059255257142493493189 absolute error = 1e-31 relative error = 4.3298266020521352519197128989391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.5MB, time=100.98 x[1] = 2.78 y[1] (analytic) = 2.310309051554389308558646127649 y[1] (numeric) = 2.3103090515543893085586461276486 absolute error = 4e-31 relative error = 1.7313700941044129297618963609057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.781 y[1] (analytic) = 2.311056883206404921938203389485 y[1] (numeric) = 2.3110568832064049219382033894834 absolute error = 1.6e-30 relative error = 6.9232393699463127054007414964614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.782 y[1] (analytic) = 2.311804805156438509222364183655 y[1] (numeric) = 2.3118048051564385092223641836548 absolute error = 2e-31 relative error = 8.6512494287538308998604754388713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.783 y[1] (analytic) = 2.312552817398958421808102556819 y[1] (numeric) = 2.3125528173989584218081025568174 absolute error = 1.6e-30 relative error = 6.9187608947223894141112453203505e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.784 y[1] (analytic) = 2.313300919928435217936846823983 y[1] (numeric) = 2.3133009199284352179368468239821 absolute error = 9e-31 relative error = 3.8905444261347658842254512482843e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1800.6MB, alloc=4.5MB, time=101.34 x[1] = 2.785 y[1] (analytic) = 2.314049112739341661512279962612 y[1] (numeric) = 2.3140491127393416615122799626118 absolute error = 2e-31 relative error = 8.6428589133634491033125700584825e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.786 y[1] (analytic) = 2.314797395826152720919016299178 y[1] (numeric) = 2.3147973958261527209190162991776 absolute error = 4e-31 relative error = 1.7280130033032101954381246385841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.787 y[1] (analytic) = 2.315545769183345567842153658036 y[1] (numeric) = 2.3155457691833455678421536580348 absolute error = 1.2e-30 relative error = 5.1823635532076743034020580668061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.788 y[1] (analytic) = 2.316294232805399576087700143435 y[1] (numeric) = 2.3162942328053995760877001434348 absolute error = 2e-31 relative error = 8.6344816287768540091266294294795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.789 y[1] (analytic) = 2.317042786686796320403874726448 y[1] (numeric) = 2.3170427866867963204038747264475 absolute error = 5e-31 relative error = 2.1579230339331102885296370839904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = 2.317791430822019575303280809524 y[1] (numeric) = 2.3177914308220195753032808095245 absolute error = 5e-31 relative error = 2.1572260271178576138558744060578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1804.4MB, alloc=4.5MB, time=101.70 x[1] = 2.791 y[1] (analytic) = 2.318540165205555313885951942387 y[1] (numeric) = 2.3185401652055553138859519423864 absolute error = 6e-31 relative error = 2.5878352637760134338968358213381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.792 y[1] (analytic) = 2.319288989831891706663268863874 y[1] (numeric) = 2.3192889898318917066632688638727 absolute error = 1.3e-30 relative error = 5.6051660905535859528018027220495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.793 y[1] (analytic) = 2.320037904695519120382747045344 y[1] (numeric) = 2.3200379046955191203827470453434 absolute error = 6e-31 relative error = 2.5861646431968264265904779894615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.794 y[1] (analytic) = 2.320786909790930116853693912174 y[1] (numeric) = 2.3207869097909301168536939121727 absolute error = 1.3e-30 relative error = 5.6015483132706548449525181849852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.795 y[1] (analytic) = 2.321536005112619451773734920824 y[1] (numeric) = 2.3215360051126194517737349208233 absolute error = 7e-31 relative error = 3.0152450724796856006434766414846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.796 y[1] (analytic) = 2.322285190655084073556207669941 y[1] (numeric) = 2.3222851906550840735562076699401 absolute error = 9e-31 relative error = 3.8754929998331627213411822656985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.5MB, time=102.07 x[1] = 2.797 y[1] (analytic) = 2.323034466412823122158423224847 y[1] (numeric) = 2.3230344664128231221584232248465 absolute error = 5e-31 relative error = 2.1523572173773581771395306425907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.798 y[1] (analytic) = 2.323783832380337927910793835774 y[1] (numeric) = 2.3237838323803379279107938357728 absolute error = 1.2e-30 relative error = 5.1639915179666067004065746119667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.799 y[1] (analytic) = 2.324533288552132010346826231092 y[1] (numeric) = 2.3245332885521320103468262310912 absolute error = 8e-31 relative error = 3.4415510586139687474745345262657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = 2.325282834922711077033979667774 y[1] (numeric) = 2.3252828349227110770339796677736 absolute error = 4e-31 relative error = 1.7202208436432869536358524368764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.801 y[1] (analytic) = 2.326032471486583022405387922231 y[1] (numeric) = 2.3260324714865830224053879222303 absolute error = 7e-31 relative error = 3.0094162853738034202132250960751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.5MB, time=102.43 x[1] = 2.802 y[1] (analytic) = 2.326782198238257926592444405629 y[1] (numeric) = 2.3267821982382579265924444056285 absolute error = 5e-31 relative error = 2.1488904306495858025810307235168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.803 y[1] (analytic) = 2.327532015172248054258249588729 y[1] (numeric) = 2.3275320151722480542582495887279 absolute error = 1.1e-30 relative error = 4.7260359592458493000215003735192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.804 y[1] (analytic) = 2.32828192228306785343191992221 y[1] (numeric) = 2.3282819222830678534319199222089 absolute error = 1.1e-30 relative error = 4.7245137690257090906074316056651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.805 y[1] (analytic) = 2.329031919565233954343757439407 y[1] (numeric) = 2.3290319195652339543437574394055 absolute error = 1.5e-30 relative error = 6.4404441493442848284708341902629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.806 y[1] (analytic) = 2.329782007013265168261279229291 y[1] (numeric) = 2.3297820070132651682612792292893 absolute error = 1.7e-30 relative error = 7.2968200238586555684611926928326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.807 y[1] (analytic) = 2.330532184621682486326105968486 y[1] (numeric) = 2.3305321846216824863261059684863 absolute error = 3e-31 relative error = 1.2872596309958246137892812081503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.5MB, time=102.79 x[1] = 2.808 y[1] (analytic) = 2.33128245238500907839170870204 y[1] (numeric) = 2.33128245238500907839170870204 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.809 y[1] (analytic) = 2.332032810297770291862013063566 y[1] (numeric) = 2.3320328102977702918620130635657 absolute error = 3e-31 relative error = 1.2864313000883289357803972668089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = 2.332783258354493650530860126372 y[1] (numeric) = 2.3327832583544936505308601263715 absolute error = 5e-31 relative error = 2.1433624328763901077169608270199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.811 y[1] (analytic) = 2.333533796549708853422323078052 y[1] (numeric) = 2.3335337965497088534223230780502 absolute error = 1.8e-30 relative error = 7.7136230152801922979041710024386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.812 y[1] (analytic) = 2.334284424877947773631878911975 y[1] (numeric) = 2.3342844248779477736318789119738 absolute error = 1.2e-30 relative error = 5.1407617135720045822477097519181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.813 y[1] (analytic) = 2.335035143333744457168434330049 y[1] (numeric) = 2.3350351433337444571684343300491 absolute error = 1e-31 relative error = 4.2825907903565582701801393458009e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.5MB, time=103.16 x[1] = 2.814 y[1] (analytic) = 2.335785951911635121797205052018 y[1] (numeric) = 2.3357859519116351217972050520169 absolute error = 1.1e-30 relative error = 4.7093356268357845955062183306127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.815 y[1] (analytic) = 2.336536850606158155883447727504 y[1] (numeric) = 2.3365368506061581558834477275032 absolute error = 8e-31 relative error = 3.4238706733534259759937742397775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.816 y[1] (analytic) = 2.337287839411854117237043647952 y[1] (numeric) = 2.3372878394118541172370436479511 absolute error = 9e-31 relative error = 3.8506168766379773156618061078648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.817 y[1] (analytic) = 2.338038918323265731957933456486 y[1] (numeric) = 2.3380389183232657319579334564852 absolute error = 8e-31 relative error = 3.4216710155266504484449868554072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.818 y[1] (analytic) = 2.33879008733493789328240205468 y[1] (numeric) = 2.3387900873349378932824020546795 absolute error = 5e-31 relative error = 2.1378575303000035773041130496101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.5MB, time=103.52 x[1] = 2.819 y[1] (analytic) = 2.339541346441417660430212906121 y[1] (numeric) = 2.3395413464414176604302129061195 absolute error = 1.5e-30 relative error = 6.4115131039748014292309885807209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = 2.340292695637254257452590937566 y[1] (numeric) = 2.3402926956372542574525909375653 absolute error = 7e-31 relative error = 2.9910788565247913420945619399137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.821 y[1] (analytic) = 2.341044134916999072081053239442 y[1] (numeric) = 2.3410441349169990720810532394408 absolute error = 1.2e-30 relative error = 5.1259178846815956935664082118724e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.822 y[1] (analytic) = 2.341795664275205654577086768289 y[1] (numeric) = 2.341795664275205654577086768288 absolute error = 1.0e-30 relative error = 4.2702273953927729513713556886908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.823 y[1] (analytic) = 2.34254728370642971658267225474 y[1] (numeric) = 2.3425472837064297165826722547398 absolute error = 2e-31 relative error = 8.5377145379774623480557598968612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.824 y[1] (analytic) = 2.343298993205229129971653521478 y[1] (numeric) = 2.3432989932052291299716535214769 absolute error = 1.1e-30 relative error = 4.6942366432522108363421694508730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1827.3MB, alloc=4.5MB, time=103.88 x[1] = 2.825 y[1] (analytic) = 2.344050792766163925701951416548 y[1] (numeric) = 2.3440507927661639257019514165463 absolute error = 1.7e-30 relative error = 7.2524025727013643884079242887148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.826 y[1] (analytic) = 2.34480268238379629266862156833 y[1] (numeric) = 2.3448026823837962926686215683296 absolute error = 4e-31 relative error = 1.7059004708803389724263672939729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.827 y[1] (analytic) = 2.345554662052690576557755169357 y[1] (numeric) = 2.3455546620526905765577551693565 absolute error = 5e-31 relative error = 2.1316919536738896609510758146491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.828 y[1] (analytic) = 2.34630673176741327870122199707 y[1] (numeric) = 2.3463067317674132787012219970688 absolute error = 1.2e-30 relative error = 5.1144208204017318439673833536837e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.829 y[1] (analytic) = 2.347058891522533054932254880546 y[1] (numeric) = 2.3470588915225330549322548805454 absolute error = 6e-31 relative error = 2.5563909033862419823076182621174e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = 2.347811141312620714441874823105 y[1] (numeric) = 2.3478111413126207144418748231044 absolute error = 6e-31 relative error = 2.5555718236542243713127057865063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1831.1MB, alloc=4.5MB, time=104.25 x[1] = 2.831 y[1] (analytic) = 2.348563481132249218636155991604 y[1] (numeric) = 2.3485634811322492186361559916024 absolute error = 1.6e-30 relative error = 6.8126751218520837752535432153535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.832 y[1] (analytic) = 2.349315910975993679994329784155 y[1] (numeric) = 2.3493159109759936799943297841548 absolute error = 2e-31 relative error = 8.5131164806572361389332976041066e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.833 y[1] (analytic) = 2.350068430838431360927727188901 y[1] (numeric) = 2.3500684308384313609277271889006 absolute error = 4e-31 relative error = 1.7020780959016262967491227098456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.834 y[1] (analytic) = 2.350821040714141672639558647339 y[1] (numeric) = 2.350821040714141672639558647338 absolute error = 1.0e-30 relative error = 4.2538329489182046042646815539205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.835 y[1] (analytic) = 2.351573740597706173985530636655 y[1] (numeric) = 2.3515737405977061739855306366545 absolute error = 5e-31 relative error = 2.1262356836529122852563869550124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.5MB, time=104.61 x[1] = 2.836 y[1] (analytic) = 2.352326530483708570335298186375 y[1] (numeric) = 2.3523265304837085703352981863744 absolute error = 6e-31 relative error = 2.5506662966413174161876237336779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.837 y[1] (analytic) = 2.353079410366734712434752545543 y[1] (numeric) = 2.3530794103667347124347525455417 absolute error = 1.3e-30 relative error = 5.5246754286009879052048963497522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.838 y[1] (analytic) = 2.353832380241372595269143217556 y[1] (numeric) = 2.353832380241372595269143217555 absolute error = 1.0e-30 relative error = 4.2483908726646690404297984378950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.839 y[1] (analytic) = 2.354585440102212356927033580662 y[1] (numeric) = 2.3545854401022123569270335806613 absolute error = 7e-31 relative error = 2.9729224859625950060017305039354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = 2.355338589943846277465089313014 y[1] (numeric) = 2.3553385899438462774650893130128 absolute error = 1.2e-30 relative error = 5.0948088955168405257128009928978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.841 y[1] (analytic) = 2.356091829760868777773698842081 y[1] (numeric) = 2.3560918297608687777736988420799 absolute error = 1.1e-30 relative error = 4.6687484167866426136596290197369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.5MB, time=104.98 x[1] = 2.842 y[1] (analytic) = 2.356845159547876418443425039106 y[1] (numeric) = 2.3568451595478764184434250391054 absolute error = 6e-31 relative error = 2.5457760666598078055748228401115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.843 y[1] (analytic) = 2.357598579299467898632287380177 y[1] (numeric) = 2.3575985792994678986322873801749 absolute error = 2.1e-30 relative error = 8.9073687880486837478282329254430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.844 y[1] (analytic) = 2.358352089010244054933873796366 y[1] (numeric) = 2.3583520890102440549338737963657 absolute error = 3e-31 relative error = 1.2720746889235879473493986606287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.845 y[1] (analytic) = 2.359105688674807860246281436326 y[1] (numeric) = 2.3591056886748078602462814363249 absolute error = 1.1e-30 relative error = 4.6627838900168498005787085823935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.846 y[1] (analytic) = 2.359859378287764422641885565512 y[1] (numeric) = 2.3598593782877644226418855655118 absolute error = 2e-31 relative error = 8.4750812628976798013000869569791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.847 y[1] (analytic) = 2.360613157843720984237935827229 y[1] (numeric) = 2.3606131578437209842379358272265 absolute error = 2.5e-30 relative error = 1.0590468801265178765355577051961e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.5MB, time=105.34 x[1] = 2.848 y[1] (analytic) = 2.361367027337286920067979091429 y[1] (numeric) = 2.3613670273372869200679790914281 absolute error = 9e-31 relative error = 3.8113516009192928216617171967722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.849 y[1] (analytic) = 2.36212098676307373695410811823 y[1] (numeric) = 2.36212098676307373695410811823 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = 2.36287503611569507238003526384 y[1] (numeric) = 2.3628750361156950723800352638393 absolute error = 7e-31 relative error = 2.9624926807416887004921853280967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.851 y[1] (analytic) = 2.363629175389766693364990457591 y[1] (numeric) = 2.3636291753897666933649904575897 absolute error = 1.3e-30 relative error = 5.5000167265477575038992068751049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.852 y[1] (analytic) = 2.364383404579906495338442679595 y[1] (numeric) = 2.3643834045799064953384426795936 absolute error = 1.4e-30 relative error = 5.9212054918341215336375854577497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.5MB, time=105.72 x[1] = 2.853 y[1] (analytic) = 2.365137723680734501015644169419 y[1] (numeric) = 2.3651377236807345010156441694183 absolute error = 7e-31 relative error = 2.9596585137149150017973707152203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.854 y[1] (analytic) = 2.365892132686872859273996597068 y[1] (numeric) = 2.3658921326868728592739965970673 absolute error = 7e-31 relative error = 2.9587147711803367734193696946030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.855 y[1] (analytic) = 2.366646631592945844030238428425 y[1] (numeric) = 2.366646631592945844030238428423 absolute error = 2.0e-30 relative error = 8.4507757655980824925092759374324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.856 y[1] (analytic) = 2.367401220393579853118452718181 y[1] (numeric) = 2.3674012203935798531184527181813 absolute error = 3e-31 relative error = 1.2672123230135239856125629472123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.857 y[1] (analytic) = 2.368155899083403407168894564182 y[1] (numeric) = 2.3681558990834034071688945641811 absolute error = 9e-31 relative error = 3.8004254717704425788578083656242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.858 y[1] (analytic) = 2.368910667657047148487637457906 y[1] (numeric) = 2.3689106676570471484876374579044 absolute error = 1.6e-30 relative error = 6.7541592928975564852612412958118e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.5MB, time=106.08 x[1] = 2.859 y[1] (analytic) = 2.369665526109143839937037766795 y[1] (numeric) = 2.3696655261091438399370377667923 absolute error = 2.7e-30 relative error = 1.1394013080121254910024264362021e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = 2.370420474434328363817016584895 y[1] (numeric) = 2.3704204744343283638170165848923 absolute error = 2.7e-30 relative error = 1.1390384234022116808796190086029e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.861 y[1] (analytic) = 2.371175512627237720747158189221 y[1] (numeric) = 2.3711755126272377207471581892205 absolute error = 5e-31 relative error = 2.1086587531684030354599522569187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.862 y[1] (analytic) = 2.37193064068251102854962434009 y[1] (numeric) = 2.3719306406825110285496243400889 absolute error = 1.1e-30 relative error = 4.6375723688255933624515793044639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.863 y[1] (analytic) = 2.372685858594789521132883664516 y[1] (numeric) = 2.3726858585947895211328836645149 absolute error = 1.1e-30 relative error = 4.6360962451703113469685418812020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.864 y[1] (analytic) = 2.373441166358716547376255362695 y[1] (numeric) = 2.373441166358716547376255362694 absolute error = 1.0e-30 relative error = 4.2132917140481680443085633096586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1854.0MB, alloc=4.5MB, time=106.44 x[1] = 2.865 y[1] (analytic) = 2.374196563968937570015266478381 y[1] (numeric) = 2.3741965639689375700152664783802 absolute error = 8e-31 relative error = 3.3695609375436139122900952652087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.866 y[1] (analytic) = 2.374952051420100164527821974885 y[1] (numeric) = 2.3749520514201001645278219748827 absolute error = 2.3e-30 relative error = 9.6844060435860898261710843240906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.867 y[1] (analytic) = 2.375707628706854018021186859248 y[1] (numeric) = 2.3757076287068540180211868592464 absolute error = 1.6e-30 relative error = 6.7348354682470441133583696355102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.868 y[1] (analytic) = 2.376463295823850928119779598047 y[1] (numeric) = 2.3764632958238509281197795980457 absolute error = 1.3e-30 relative error = 5.4703138158476278446823133885208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.869 y[1] (analytic) = 2.377219052765744801853776069082 y[1] (numeric) = 2.3772190527657448018537760690797 absolute error = 2.3e-30 relative error = 9.6751706466599899899640697848782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (analytic) = 2.377974899527191654548523294115 y[1] (numeric) = 2.3779748995271916545485232941139 absolute error = 1.1e-30 memory used=1857.8MB, alloc=4.5MB, time=106.81 relative error = 4.6257847390176867000865498750644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.871 y[1] (analytic) = 2.378730836102849608714762198674 y[1] (numeric) = 2.3787308361028496087147621986714 absolute error = 2.6e-30 relative error = 1.0930198408911462637830260049774e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.872 y[1] (analytic) = 2.379486862487378892939658645733 y[1] (numeric) = 2.3794868624873788929396586457311 absolute error = 1.9e-30 relative error = 7.9849148568689685149611762198906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.873 y[1] (analytic) = 2.380242978675441840778641991047 y[1] (numeric) = 2.3802429786754418407786419910464 absolute error = 6e-31 relative error = 2.5207510551460092437535490241154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.874 y[1] (analytic) = 2.38099918466170288964805040865 y[1] (numeric) = 2.3809991846617028896480504086484 absolute error = 1.6e-30 relative error = 6.7198679038074983187383533019689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.875 y[1] (analytic) = 2.381755480440828579718582235954 y[1] (numeric) = 2.3817554804408285797185822359531 absolute error = 9e-31 relative error = 3.7787254291671577621031659061475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.5MB, time=107.18 x[1] = 2.876 y[1] (analytic) = 2.382511866007487552809552588741 y[1] (numeric) = 2.3825118660074875528095525887402 absolute error = 8e-31 relative error = 3.3578006951990804019654542572017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.877 y[1] (analytic) = 2.383268341356350551283954497125 y[1] (numeric) = 2.3832683413563505512839544971229 absolute error = 2.1e-30 relative error = 8.8114290932294318531495218953998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.878 y[1] (analytic) = 2.384024906482090416944323814477 y[1] (numeric) = 2.3840249064820904169443238144759 absolute error = 1.1e-30 relative error = 4.6140457551812224054359342533944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.879 y[1] (analytic) = 2.384781561379382089929407152136 y[1] (numeric) = 2.384781561379382089929407152136 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = 2.38553830604290260761163209354 y[1] (numeric) = 2.3855383060429026076116320935378 absolute error = 2.2e-30 relative error = 9.2222371547213972836743764615880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.881 y[1] (analytic) = 2.386295140467331103495378942291 y[1] (numeric) = 2.38629514046733110349537894229 absolute error = 1.0e-30 relative error = 4.1905964733438647181791470917705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.5MB, time=107.54 x[1] = 2.882 y[1] (analytic) = 2.387052064647348806116053259545 y[1] (numeric) = 2.3870520646473488061160532595441 absolute error = 9e-31 relative error = 3.7703408875288253150592673005562e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.883 y[1] (analytic) = 2.38780907857763903793995844685 y[1] (numeric) = 2.3878090785776390379399584468492 absolute error = 8e-31 relative error = 3.3503516138590985443141208979899e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.884 y[1] (analytic) = 2.388566182252887214264967631529 y[1] (numeric) = 2.3885661822528872142649676315282 absolute error = 8e-31 relative error = 3.3492896531150031453711953652182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.885 y[1] (analytic) = 2.389323375667780842121994112455 y[1] (numeric) = 2.3893233756677808421219941124533 absolute error = 1.7e-30 relative error = 7.1149850091969025828800291078577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.886 y[1] (analytic) = 2.390080658817009519177259624937 y[1] (numeric) = 2.3900806588170095191772596249358 absolute error = 1.2e-30 relative error = 5.0207510594807711259194242401831e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.887 y[1] (analytic) = 2.390838031695264932635359684286 y[1] (numeric) = 2.3908380316952649326353596842862 absolute error = 2e-31 relative error = 8.3652676320439219093759797277547e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=1869.2MB, alloc=4.5MB, time=107.91 TOP MAIN SOLVE Loop x[1] = 2.888 y[1] (analytic) = 2.391595494297240858143125268438 y[1] (numeric) = 2.3915954942972408581431252684365 absolute error = 1.5e-30 relative error = 6.2719636476015689228190289986133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.889 y[1] (analytic) = 2.392353046617633158694280100855 y[1] (numeric) = 2.3923530466176331586942801008534 absolute error = 1.6e-30 relative error = 6.6879761006098947637130879592564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = 2.393110688651139783534892795808 y[1] (numeric) = 2.3931106886511397835348927958063 absolute error = 1.7e-30 relative error = 7.1037249052537272788702956912594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.891 y[1] (analytic) = 2.39386842039246076706962312889 y[1] (numeric) = 2.3938684203924607670696231288884 absolute error = 1.6e-30 relative error = 6.6837424578987066081423411457371e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.892 y[1] (analytic) = 2.394626241836298227768761696522 y[1] (numeric) = 2.3946262418362982277687616965216 absolute error = 4e-31 relative error = 1.6704068176136894420580327924702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.5MB, time=108.27 x[1] = 2.893 y[1] (analytic) = 2.39538415297735636707606222901 y[1] (numeric) = 2.3953841529773563670760622290079 absolute error = 2.1e-30 relative error = 8.7668610372569804602956390186641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.894 y[1] (analytic) = 2.396142153810341468317365822523 y[1] (numeric) = 2.3961421538103414683173658225216 absolute error = 1.4e-30 relative error = 5.8427251395486791602899267563200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.895 y[1] (analytic) = 2.396900244329961895610016356267 y[1] (numeric) = 2.3969002443299618956100163562649 absolute error = 2.1e-30 relative error = 8.7613158076465612091910401708386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.896 y[1] (analytic) = 2.397658424530928092773066361839 y[1] (numeric) = 2.397658424530928092773066361839 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.897 y[1] (analytic) = 2.398416694407952582238272612712 y[1] (numeric) = 2.3984166944079525822382726127101 absolute error = 1.9e-30 relative error = 7.9218928238364919279122820646219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.898 y[1] (analytic) = 2.399175053955749963961880702477 y[1] (numeric) = 2.3991750539557499639618807024756 absolute error = 1.4e-30 relative error = 5.8353390999614044692663509053286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.5MB, time=108.63 x[1] = 2.899 y[1] (analytic) = 2.399933503169036914337197881462 y[1] (numeric) = 2.3999335031690369143371978814618 absolute error = 2e-31 relative error = 8.3335642315050093356172258254753e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = 2.400692042042532185107953422009 y[1] (numeric) = 2.4006920420425321851079534220076 absolute error = 1.4e-30 relative error = 5.8316517715819408324451605713901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.901 y[1] (analytic) = 2.401450670570956602282445783615 y[1] (numeric) = 2.4014506705709566022824457836131 absolute error = 1.9e-30 relative error = 7.9118843592496769415593195616756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.902 y[1] (analytic) = 2.402209388749033065048475849952 y[1] (numeric) = 2.402209388749033065048475849952 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.903 y[1] (analytic) = 2.402968196571486544689065510571 y[1] (numeric) = 2.4029681965714865446890655105697 absolute error = 1.3e-30 relative error = 5.4099758867171755000825812309081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.904 y[1] (analytic) = 2.403727094033044083498960860907 y[1] (numeric) = 2.403727094033044083498960860907 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1880.7MB, alloc=4.5MB, time=109.00 x[1] = 2.905 y[1] (analytic) = 2.404486081128434793701919295111 y[1] (numeric) = 2.4044860811284347937019192951093 absolute error = 1.7e-30 relative error = 7.0701178656945408495676243825658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.906 y[1] (analytic) = 2.405245157852389856368779766899 y[1] (numeric) = 2.405245157852389856368779766898 absolute error = 1.0e-30 relative error = 4.1575803478298493813251042591390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.907 y[1] (analytic) = 2.406004324199642520336315494599 y[1] (numeric) = 2.4060043241996425203363154945975 absolute error = 1.5e-30 relative error = 6.2344027602650925743510820068565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.908 y[1] (analytic) = 2.406763580164928101126868387228 y[1] (numeric) = 2.4067635801649281011268683872262 absolute error = 1.8e-30 relative error = 7.4789232097182205975326875296704e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.909 y[1] (analytic) = 2.407522925742983979868764469378 y[1] (numeric) = 2.4075229257429839798687644693758 absolute error = 2.2e-30 relative error = 9.1380230546342960629275364308644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1884.5MB, alloc=4.5MB, time=109.36 x[1] = 2.91 y[1] (analytic) = 2.408282360928549602217509583416 y[1] (numeric) = 2.4082823609285496022175095834142 absolute error = 1.8e-30 relative error = 7.4742066345824284501951071281047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.911 y[1] (analytic) = 2.409041885716366477277764648362 y[1] (numeric) = 2.4090418857163664772777646483611 absolute error = 9e-31 relative error = 3.7359250801584583121323499533049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.912 y[1] (analytic) = 2.409801500101178176526099755597 y[1] (numeric) = 2.4098015001011781765260997555961 absolute error = 9e-31 relative error = 3.7347474468839549911222043937270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.913 y[1] (analytic) = 2.410561204077730332734526382369 y[1] (numeric) = 2.4105612040777303327345263823685 absolute error = 5e-31 relative error = 2.0742057872423849454758623836727e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.914 y[1] (analytic) = 2.411320997640770638894807004889 y[1] (numeric) = 2.4113209976407706388948070048881 absolute error = 9e-31 relative error = 3.7323939901844563576793537432893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.915 y[1] (analytic) = 2.412080880785048847143541393584 y[1] (numeric) = 2.4120808807850488471435413935831 absolute error = 9e-31 relative error = 3.7312181658978249022979998852046e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.5MB, time=109.73 x[1] = 2.916 y[1] (analytic) = 2.412840853505316767688028873919 y[1] (numeric) = 2.4128408535053167676880288739181 absolute error = 9e-31 relative error = 3.7300429437461728671785895909145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.917 y[1] (analytic) = 2.413600915796328267732905836973 y[1] (numeric) = 2.4136009157963282677329058369722 absolute error = 8e-31 relative error = 3.3145496207108168262459393228418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.918 y[1] (analytic) = 2.414361067652839270407557784781 y[1] (numeric) = 2.4143610676528392704075577847799 absolute error = 1.1e-30 relative error = 4.5560708161575147088198808183239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.919 y[1] (analytic) = 2.415121309069607753694305196243 y[1] (numeric) = 2.4151213090696077536943051962425 absolute error = 5e-31 relative error = 2.0702893810026384089558926492517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = 2.415881640041393749357362500221 y[1] (numeric) = 2.4158816400413937493573625002198 absolute error = 1.2e-30 relative error = 4.9671307571981845246405747510935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.921 y[1] (analytic) = 2.416642060562959341872569443215 y[1] (numeric) = 2.4166420605629593418725694432134 absolute error = 1.6e-30 relative error = 6.6207570666351735014778727019639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.5MB, time=110.09 x[1] = 2.922 y[1] (analytic) = 2.417402570629068667357894139854 y[1] (numeric) = 2.4174025706290686673578941398529 absolute error = 1.1e-30 relative error = 4.5503385053228948211258063918109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.923 y[1] (analytic) = 2.418163170234487912504707095197 y[1] (numeric) = 2.4181631702344879125047070951964 absolute error = 6e-31 relative error = 2.4812221416051851453657452682408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.924 y[1] (analytic) = 2.418923859373985313509825488654 y[1] (numeric) = 2.4189238593739853135098254886543 absolute error = 3e-31 relative error = 1.2402209306316886373876807485034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.925 y[1] (analytic) = 2.419684638042331155008327010145 y[1] (numeric) = 2.4196846380423311550083270101432 absolute error = 1.8e-30 relative error = 7.4389859393259904364023269018757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.926 y[1] (analytic) = 2.420445506234297769007132539873 y[1] (numeric) = 2.4204455062342977690071325398717 absolute error = 1.3e-30 relative error = 5.3709120765231585771289652922288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.5MB, time=110.45 x[1] = 2.927 y[1] (analytic) = 2.421206463944659533819356963958 y[1] (numeric) = 2.4212064639446595338193569639571 absolute error = 9e-31 relative error = 3.7171551183359591002291638137552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.928 y[1] (analytic) = 2.421967511168192872999427418865 y[1] (numeric) = 2.4219675111681928729994274188638 absolute error = 1.2e-30 relative error = 4.9546494511860788020702632321486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.929 y[1] (analytic) = 2.42272864789967625427896825845 y[1] (numeric) = 2.4227286478996762542789682584486 absolute error = 1.4e-30 relative error = 5.7786083522547803029706192660285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = 2.42348987413389018850345203819 y[1] (numeric) = 2.4234898741338901885034520381895 absolute error = 5e-31 relative error = 2.0631404543362931070616126015076e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.931 y[1] (analytic) = 2.424251189865617228569615811967 y[1] (numeric) = 2.4242511898656172285696158119662 absolute error = 8e-31 relative error = 3.2999880678385730903749071141699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.932 y[1] (analytic) = 2.425012595089641968363642037549 y[1] (numeric) = 2.4250125950896419683636420375488 absolute error = 2e-31 relative error = 8.2473798447470284734229381989276e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.5MB, time=110.81 x[1] = 2.933 y[1] (analytic) = 2.425774089800751041700103387743 y[1] (numeric) = 2.4257740898007510417001033877424 absolute error = 6e-31 relative error = 2.4734372525567002803596112362846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.934 y[1] (analytic) = 2.426535673993733121261670764921 y[1] (numeric) = 2.4265356739937331212616707649202 absolute error = 8e-31 relative error = 3.2968812639927671449087099991960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.935 y[1] (analytic) = 2.427297347663378917539583817467 y[1] (numeric) = 2.4272973476633789175395838174674 absolute error = 4e-31 relative error = 1.6479233596372411745958426491218e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.936 y[1] (analytic) = 2.428059110804481177774883257443 y[1] (numeric) = 2.4280591108044811777748832574417 absolute error = 1.3e-30 relative error = 5.3540706410943805007953321645795e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.937 y[1] (analytic) = 2.428820963411834684900404279542 y[1] (numeric) = 2.4288209634118346849004042795413 absolute error = 7e-31 relative error = 2.8820568108762115626666432726997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.938 y[1] (analytic) = 2.429582905480236256483530382258 y[1] (numeric) = 2.4295829054802362564835303822562 absolute error = 1.8e-30 relative error = 7.4086790614959828678985762002010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1903.6MB, alloc=4.5MB, time=111.18 x[1] = 2.939 y[1] (analytic) = 2.430344937004484743669706892861 y[1] (numeric) = 2.430344937004484743669706892859 absolute error = 2.0e-30 relative error = 8.2292845330222743473406431571064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.94 y[1] (analytic) = 2.431107057979381030126713498676 y[1] (numeric) = 2.4311070579793810301267134986757 absolute error = 3e-31 relative error = 1.2340057136329715376248402343228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.941 y[1] (analytic) = 2.431869268399728030989695087855 y[1] (numeric) = 2.431869268399728030989695087854 absolute error = 1.0e-30 relative error = 4.1120631482712964216940908671479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.942 y[1] (analytic) = 2.432631568260330691806950203631 y[1] (numeric) = 2.43263156826033069180695020363 absolute error = 1.0e-30 relative error = 4.1107745745285170167415050933144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.943 y[1] (analytic) = 2.43339395755599598748647641687 y[1] (numeric) = 2.4333939575559959874864764168696 absolute error = 4e-31 relative error = 1.6437946628327460596275771062959e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1907.4MB, alloc=4.5MB, time=111.55 x[1] = 2.944 y[1] (analytic) = 2.43415643628153292124327192244 y[1] (numeric) = 2.4341564362815329212432719224393 absolute error = 7e-31 relative error = 2.8757395768257782739323283325535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.945 y[1] (analytic) = 2.434919004431752523547392665741 y[1] (numeric) = 2.4349190044317525235473926657386 absolute error = 2.4e-30 relative error = 9.8565906941126293391248777577411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.946 y[1] (analytic) = 2.435681662001467851072764306501 y[1] (numeric) = 2.4356816620014678510727643064999 absolute error = 1.1e-30 relative error = 4.5161895216475012843307446944282e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.947 y[1] (analytic) = 2.436444408985493985646748327738 y[1] (numeric) = 2.4364444089854939856467483277371 absolute error = 9e-31 relative error = 3.6939073868496311230933663081791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.948 y[1] (analytic) = 2.437207245378648033200461598499 y[1] (numeric) = 2.4372072453786480332004615984969 absolute error = 2.1e-30 relative error = 8.6164194857944506514355936911955e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.949 y[1] (analytic) = 2.43797017117574912271984869984 y[1] (numeric) = 2.4379701711757491227198486998404 absolute error = 4e-31 relative error = 1.6407091634230035064239472440360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1911.2MB, alloc=4.5MB, time=111.91 x[1] = 2.95 y[1] (analytic) = 2.438733186371618405197506324252 y[1] (numeric) = 2.4387331863716184051975063242518 absolute error = 2e-31 relative error = 8.2009791443221723597478384646352e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.951 y[1] (analytic) = 2.439496290961079052585259059445 y[1] (numeric) = 2.4394962909610790525852590594432 absolute error = 1.8e-30 relative error = 7.3785723990211965558336497178751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.952 y[1] (analytic) = 2.440259484938956256747485868294 y[1] (numeric) = 2.4402594849389562567474858682927 absolute error = 1.3e-30 relative error = 5.3273023136411243063613922617139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.953 y[1] (analytic) = 2.441022768300077228415196577422 y[1] (numeric) = 2.4410227683000772284151965774217 absolute error = 3e-31 relative error = 1.2289930429814029386884367010074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.954 y[1] (analytic) = 2.441786141039271196140857687684 y[1] (numeric) = 2.4417861410392711961408576876841 absolute error = 1e-31 relative error = 4.0953627477563647152606629173850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.955 y[1] (analytic) = 2.442549603151369405253966820609 y[1] (numeric) = 2.4425496031513694052539668206073 absolute error = 1.7e-30 relative error = 6.9599405383893356044573366402359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.5MB, time=112.27 x[1] = 2.956 y[1] (analytic) = 2.44331315463120511681737511559 y[1] (numeric) = 2.4433131546312051168173751155883 absolute error = 1.7e-30 relative error = 6.9577655110550036386398559687225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.957 y[1] (analytic) = 2.444076795473613606584356893418 y[1] (numeric) = 2.4440767954736136065843568934154 absolute error = 2.6e-30 relative error = 1.0637963605788301627383796108856e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.958 y[1] (analytic) = 2.444840525673432163956425902446 y[1] (numeric) = 2.4448405256734321639564259024452 absolute error = 8e-31 relative error = 3.2721970680670050033466966348888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.959 y[1] (analytic) = 2.445604345225500090941897464533 y[1] (numeric) = 2.4456043452255000909418974645307 absolute error = 2.3e-30 relative error = 9.4046283671773798095401863513883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = 2.446368254124658701115195838556 y[1] (numeric) = 2.4463682541246587011151958385553 absolute error = 7e-31 relative error = 2.8613844167564576053462300137568e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.5MB, time=112.64 x[1] = 2.961 y[1] (analytic) = 2.447132252365751318576906120189 y[1] (numeric) = 2.4471322523657513185769061201879 absolute error = 1.1e-30 relative error = 4.4950574246103012906839292998279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.962 y[1] (analytic) = 2.447896339943623276914569997234 y[1] (numeric) = 2.4478963399436232769145699972341 absolute error = 1e-31 relative error = 4.0851403046872102532423738178467e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.963 y[1] (analytic) = 2.448660516853121918164224680717 y[1] (numeric) = 2.4486605168531219181642246807163 absolute error = 7e-31 relative error = 2.8587057911139101456470430441067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.964 y[1] (analytic) = 2.449424783089096591772684332574 y[1] (numeric) = 2.4494247830890965917726843325732 absolute error = 8e-31 relative error = 3.2660729389333544734776383420225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.965 y[1] (analytic) = 2.450189138646398653560563311626 y[1] (numeric) = 2.4501891386463986535605633116245 absolute error = 1.5e-30 relative error = 6.1219763663986835940459961006451e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.966 y[1] (analytic) = 2.450953583519881464686040560204 y[1] (numeric) = 2.4509535835198814646860405602028 absolute error = 1.2e-30 relative error = 4.8960535526611123536162245189598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.5MB, time=113.00 x[1] = 2.967 y[1] (analytic) = 2.451718117704400390609364454609 y[1] (numeric) = 2.4517181177044003906093644546084 absolute error = 6e-31 relative error = 2.4472633932394874536378467163529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.968 y[1] (analytic) = 2.452482741194812800058097443297 y[1] (numeric) = 2.4524827411948128000580974432959 absolute error = 1.1e-30 relative error = 4.4852507278566882060450018767406e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.969 y[1] (analytic) = 2.453247453985978063993099797455 y[1] (numeric) = 2.453247453985978063993099797454 absolute error = 1.0e-30 relative error = 4.0762296456283845515571176857482e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = 2.454012256072757554575251799392 y[1] (numeric) = 2.4540122560727575545752517993911 absolute error = 9e-31 relative error = 3.6674633460889953825251777147637e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.971 y[1] (analytic) = 2.45477714745001464413291369489 y[1] (numeric) = 2.4547771474500146441329136948896 absolute error = 4e-31 relative error = 1.6294758178579018764604328430276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.972 y[1] (analytic) = 2.455542128112614704130122736441 y[1] (numeric) = 2.4555421281126147041301227364408 absolute error = 2e-31 relative error = 8.1448409176235363492305386676389e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.5MB, time=113.36 x[1] = 2.973 y[1] (analytic) = 2.456307198055425104135526645023 y[1] (numeric) = 2.456307198055425104135526645021 absolute error = 2.0e-30 relative error = 8.1423040309588800672402645072070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.974 y[1] (analytic) = 2.457072357273315210792052818817 y[1] (numeric) = 2.4570723572733152107920528188169 absolute error = 1e-31 relative error = 4.0698842141943639709012522036872e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.975 y[1] (analytic) = 2.457837605761156386787312618054 y[1] (numeric) = 2.4578376057611563867873126180533 absolute error = 7e-31 relative error = 2.8480319381524811117457821134290e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.976 y[1] (analytic) = 2.458602943513821989824740055825 y[1] (numeric) = 2.4586029435138219898247400558243 absolute error = 7e-31 relative error = 2.8471453751680773522977241672807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.977 y[1] (analytic) = 2.459368370526187371595464225572 y[1] (numeric) = 2.4593683705261873715954642255701 absolute error = 1.9e-30 relative error = 7.7255608503800134023996255949106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1930.3MB, alloc=4.5MB, time=113.73 x[1] = 2.978 y[1] (analytic) = 2.46013388679312987675091479659 y[1] (numeric) = 2.4601338867931298767509147965882 absolute error = 1.8e-30 relative error = 7.3166749568510786706208554441924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.979 y[1] (analytic) = 2.460899492309528841876159909709 y[1] (numeric) = 2.4608994923095288418761599097077 absolute error = 1.3e-30 relative error = 5.2826212694284535032133856364251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = 2.461665187070265594463975805999 y[1] (numeric) = 2.4616651870702655944639758059986 absolute error = 4e-31 relative error = 1.6249163456548586625555306136493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.981 y[1] (analytic) = 2.462430971070223451889647522128 y[1] (numeric) = 2.4624309710702234518896475221271 absolute error = 9e-31 relative error = 3.6549247900697146343860939542814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.982 y[1] (analytic) = 2.46319684430428772038649998671 y[1] (numeric) = 2.4631968443042877203864999867089 absolute error = 1.1e-30 relative error = 4.4657413496755559113859815337162e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.983 y[1] (analytic) = 2.463962806767345694022158852751 y[1] (numeric) = 2.46396280676734569402215885275 absolute error = 1.0e-30 relative error = 4.0585028201459488008132773615294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1934.1MB, alloc=4.5MB, time=114.09 x[1] = 2.984 y[1] (analytic) = 2.464728858454286653675540402003 y[1] (numeric) = 2.4647288584542866536755404020021 absolute error = 9e-31 relative error = 3.6515172730375701379455052707592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.985 y[1] (analytic) = 2.465494999360001866014569857798 y[1] (numeric) = 2.465494999360001866014569857797 absolute error = 1.0e-30 relative error = 4.0559806459132223123005651784153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.986 y[1] (analytic) = 2.466261229479384582474627443661 y[1] (numeric) = 2.4662612294793845824746274436598 absolute error = 1.2e-30 relative error = 4.8656646167742498291636194304020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.987 y[1] (analytic) = 2.467027548807330038237721525736 y[1] (numeric) = 2.4670275488073300382377215257346 absolute error = 1.4e-30 relative error = 5.6748454255276629061847803991471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.988 y[1] (analytic) = 2.467793957338735451212388177794 y[1] (numeric) = 2.467793957338735451212388177792 absolute error = 2.0e-30 relative error = 8.1044043164640713750864073424685e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.989 y[1] (analytic) = 2.468560455068500021014316508319 y[1] (numeric) = 2.4685604550685000210143165083179 absolute error = 1.1e-30 relative error = 4.4560383268777435231855704317570e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.5MB, time=114.46 x[1] = 2.99 y[1] (analytic) = 2.46932704199152492794769908992 y[1] (numeric) = 2.4693270419915249279476990899177 absolute error = 2.3e-30 relative error = 9.3142785904334413319761178776718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.991 y[1] (analytic) = 2.470093718102713331987306831999 y[1] (numeric) = 2.4700937181027133319873068319985 absolute error = 5e-31 relative error = 2.0242146941050137775018652042049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.992 y[1] (analytic) = 2.470860483396970371761287638425 y[1] (numeric) = 2.4708604833969703717612876384234 absolute error = 1.6e-30 relative error = 6.4754769067345303142322182586158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.993 y[1] (analytic) = 2.471627337869203163534688192561 y[1] (numeric) = 2.4716273378692031635346881925602 absolute error = 8e-31 relative error = 3.2367339029745569819349091308404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.994 y[1] (analytic) = 2.472394281514320800193698212877 y[1] (numeric) = 2.4723942815143208001936982128751 absolute error = 1.9e-30 relative error = 7.6848584152049805969101005513023e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.5MB, time=114.82 x[1] = 2.995 y[1] (analytic) = 2.47316131432723435023061652295 y[1] (numeric) = 2.4731613143272343502306165229487 absolute error = 1.3e-30 relative error = 5.2564302719316737037687206192055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.996 y[1] (analytic) = 2.473928436302856856729538280519 y[1] (numeric) = 2.473928436302856856729538280518 absolute error = 1.0e-30 relative error = 4.0421541113551458896843370357048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.997 y[1] (analytic) = 2.474695647436103336352762710874 y[1] (numeric) = 2.4746956474361033363527627108736 absolute error = 4e-31 relative error = 1.6163603811823005340332970016892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.998 y[1] (analytic) = 2.475462947721890778327920690665 y[1] (numeric) = 2.4754629477218907783279206906647 absolute error = 3e-31 relative error = 1.2118945277532140399712007622834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.999 y[1] (analytic) = 2.47623033715513814343582152889 y[1] (numeric) = 2.4762303371551381434358215288885 absolute error = 1.5e-30 relative error = 6.0575947943651398653855096165363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = 2.476997815730766362999018292563 y[1] (numeric) = 2.4769978157307663629990182925619 absolute error = 1.1e-30 relative error = 4.4408597900821196495940815262358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.5MB, time=115.18 x[1] = 3.001 y[1] (analytic) = 2.477765383443698337871091025297 y[1] (numeric) = 2.4777653834436983378710910252967 absolute error = 3e-31 relative error = 1.2107683883413040961619180500611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.002 y[1] (analytic) = 2.47853304028885893742664720772 y[1] (numeric) = 2.4785330402888589374266472077177 absolute error = 2.3e-30 relative error = 9.2796826292537462950492873234587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.003 y[1] (analytic) = 2.479300786261174998552038809386 y[1] (numeric) = 2.4793007862611749985520388093842 absolute error = 1.8e-30 relative error = 7.2601114393805707466637890377355e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.004 y[1] (analytic) = 2.480068621355575324636795282593 y[1] (numeric) = 2.4800686213555753246367952825929 absolute error = 1e-31 relative error = 4.0321464954200024132751269783561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.005 y[1] (analytic) = 2.48083654556699068456577184916 y[1] (numeric) = 2.4808365455669906845657718491589 absolute error = 1.1e-30 relative error = 4.4339882124261314394979394845811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.006 y[1] (analytic) = 2.481604558890353811712012431988 y[1] (numeric) = 2.4816045588903538117120124319872 absolute error = 8e-31 relative error = 3.2237207057586924297278830711503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.5MB, time=115.55 x[1] = 3.007 y[1] (analytic) = 2.482372661320599402930326583964 y[1] (numeric) = 2.4823726613205994029303265839633 absolute error = 7e-31 relative error = 2.8198828117435294515683251544759e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.008 y[1] (analytic) = 2.483140852852664117551579767407 y[1] (numeric) = 2.4831408528526641175515797674066 absolute error = 4e-31 relative error = 1.6108631112909880259642546706945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.009 y[1] (analytic) = 2.483909133481486576377696338045 y[1] (numeric) = 2.4839091334814865763776963380435 absolute error = 1.5e-30 relative error = 6.0388682491681011108517381195471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (analytic) = 2.484677503202007360677374588172 y[1] (numeric) = 2.4846775032020073606773745881706 absolute error = 1.4e-30 relative error = 5.6345340519879060729400141227386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.011 y[1] (analytic) = 2.485445962009169011182513204391 y[1] (numeric) = 2.4854459620091690111825132043903 absolute error = 7e-31 relative error = 2.8163959735987921003223515312420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.5MB, time=115.91 x[1] = 3.012 y[1] (analytic) = 2.486214509897916027085348496013 y[1] (numeric) = 2.4862145098979160270853484960123 absolute error = 7e-31 relative error = 2.8155253587862859083976843448574e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.013 y[1] (analytic) = 2.486983146863194865036301750924 y[1] (numeric) = 2.4869831468631948650363017509241 absolute error = 1e-31 relative error = 4.0209359732143310291985568988672e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.014 y[1] (analytic) = 2.487751872899953938142536076446 y[1] (numeric) = 2.4877518728999539381425360764442 absolute error = 1.8e-30 relative error = 7.2354482760443199979018207917002e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.015 y[1] (analytic) = 2.488520688003143614967222083378 y[1] (numeric) = 2.4885206880031436149672220833779 absolute error = 1e-31 relative error = 4.0184516239743503130281456374298e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.016 y[1] (analytic) = 2.489289592167716218529511772207 y[1] (numeric) = 2.4892895921677162185295117722056 absolute error = 1.4e-30 relative error = 5.6240945384777666845899178244124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.017 y[1] (analytic) = 2.490058585388626025305219981039 y[1] (numeric) = 2.4900585853886260253052199810381 absolute error = 9e-31 relative error = 3.6143727913917176643898536031069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1957.0MB, alloc=4.5MB, time=116.28 x[1] = 3.018 y[1] (analytic) = 2.490827667660829264228212755679 y[1] (numeric) = 2.4908276676608292642282127556788 absolute error = 2e-31 relative error = 8.0294595485934507866347674510757e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.019 y[1] (analytic) = 2.49159683897928411569250200284 y[1] (numeric) = 2.4915968389792841156925020028397 absolute error = 3e-31 relative error = 1.2040471207328188863759740663063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (analytic) = 2.49236609933895071055504578826 y[1] (numeric) = 2.4923660993389507105550457882589 absolute error = 1.1e-30 relative error = 4.4134768174376652427381942439627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.021 y[1] (analytic) = 2.493135448734791129139253642173 y[1] (numeric) = 2.493135448734791129139253642172 absolute error = 1.0e-30 relative error = 4.0110135231821319177313247096533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.022 y[1] (analytic) = 2.493904887161769400239196235292 y[1] (numeric) = 2.493904887161769400239196235291 absolute error = 1.0e-30 relative error = 4.0097760149067549178650853150440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.023 y[1] (analytic) = 2.494674414614851500124518789146 y[1] (numeric) = 2.494674414614851500124518789146 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1960.8MB, alloc=4.5MB, time=116.64 x[1] = 3.024 y[1] (analytic) = 2.495444031089005351546057585345 y[1] (numeric) = 2.495444031089005351546057585344 absolute error = 1.0e-30 relative error = 4.0073028588968295720082876458153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.025 y[1] (analytic) = 2.496213736579200822742158939 y[1] (numeric) = 2.4962137365792008227421589389989 absolute error = 1.1e-30 relative error = 4.4066739313254267075389127864735e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.026 y[1] (analytic) = 2.496983531080409726445700002287 y[1] (numeric) = 2.4969835310804097264457000022857 absolute error = 1.3e-30 relative error = 5.2062818349366855723380916684316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.027 y[1] (analytic) = 2.497753414587605818891810764769 y[1] (numeric) = 2.4977534145876058188918107647676 absolute error = 1.4e-30 relative error = 5.6050368776340896698296025671945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.028 y[1] (analytic) = 2.498523387095764798826296617844 y[1] (numeric) = 2.4985233870957647988262966178432 absolute error = 8e-31 relative error = 3.2018911815346443803916419361911e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.5MB, time=117.00 x[1] = 3.029 y[1] (analytic) = 2.499293448599864306514760851355 y[1] (numeric) = 2.4992934485998643065147608513548 absolute error = 2e-31 relative error = 8.0022616036561261343222309915498e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.03 y[1] (analytic) = 2.500063599094883922752426451096 y[1] (numeric) = 2.5000635990948839227524264510946 absolute error = 1.4e-30 relative error = 5.5998575416515488210959475490415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.031 y[1] (analytic) = 2.500833838575805167874656566639 y[1] (numeric) = 2.5008338385758051678746565666388 absolute error = 2e-31 relative error = 7.9973326062277531275636729811056e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.032 y[1] (analytic) = 2.501604167037611500768173019633 y[1] (numeric) = 2.5016041670376115007681730196326 absolute error = 4e-31 relative error = 1.5989739914515661216086512624877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.033 y[1] (analytic) = 2.502374584475288317882972223342 y[1] (numeric) = 2.5023745844752883178829722233412 absolute error = 8e-31 relative error = 3.1969634161216051719689947566221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.034 y[1] (analytic) = 2.503145090883822952244937884973 y[1] (numeric) = 2.5031450908838229522449378849731 absolute error = 1e-31 relative error = 3.9949741772536046356455619489418e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.5MB, time=117.37 x[1] = 3.035 y[1] (analytic) = 2.503915686258204672469149862971 y[1] (numeric) = 2.503915686258204672469149862971 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) = 2.504686370593424681773888552158 y[1] (numeric) = 2.5046863705934246817738885521569 absolute error = 1.1e-30 relative error = 4.3917674201236687435194452569936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.037 y[1] (analytic) = 2.505457143884476116995334170306 y[1] (numeric) = 2.5054571438844761169953341703044 absolute error = 1.6e-30 relative error = 6.3860601403836035698395626849929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.038 y[1] (analytic) = 2.5062280061263540476029603204 y[1] (numeric) = 2.5062280061263540476029603204003 absolute error = 3e-31 relative error = 1.1970179858602824712162322652298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.039 y[1] (analytic) = 2.506998957314055474715621203545 y[1] (numeric) = 2.506998957314055474715621203543 absolute error = 2.0e-30 relative error = 7.9776658628640069116373543292080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (analytic) = 2.507769997442579330118331858112 y[1] (numeric) = 2.5077699974425793301183318581112 absolute error = 8e-31 relative error = 3.1900852184045545948120376396106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.5MB, time=117.73 x[1] = 3.041 y[1] (analytic) = 2.508541126506926475279740801523 y[1] (numeric) = 2.5085411265069264752797408015218 absolute error = 1.2e-30 relative error = 4.7836568725941779447741552638122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.042 y[1] (analytic) = 2.50931234450209970037029445158 y[1] (numeric) = 2.5093123445020997003702944515796 absolute error = 4e-31 relative error = 1.5940622173895550080142184375154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.043 y[1] (analytic) = 2.510083651423103723281092705104 y[1] (numeric) = 2.5100836514231037232810927051035 absolute error = 5e-31 relative error = 1.9919654857579055186350041413491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.044 y[1] (analytic) = 2.510855047264945188643435052199 y[1] (numeric) = 2.5108550472649451886434350521977 absolute error = 1.3e-30 relative error = 5.1775191141204262523898588600862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.045 y[1] (analytic) = 2.511626532022632666849056605217 y[1] (numeric) = 2.5116265320226326668490566052163 absolute error = 7e-31 relative error = 2.7870385627607002380215194879460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.5MB, time=118.09 x[1] = 3.046 y[1] (analytic) = 2.512398105691176653071053422152 y[1] (numeric) = 2.512398105691176653071053422151 absolute error = 1.0e-30 relative error = 3.9802609217653969603454572412133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.047 y[1] (analytic) = 2.51316976826558956628549650485 y[1] (numeric) = 2.5131697682655895662854965048503 absolute error = 3e-31 relative error = 1.1937116377420001830382325572527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.048 y[1] (analytic) = 2.513941519740885748293733853159 y[1] (numeric) = 2.5139415197408857482937338531585 absolute error = 5e-31 relative error = 1.9889086363931626273594242219101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.049 y[1] (analytic) = 2.51471336011208146274537995674 y[1] (numeric) = 2.5147133601120814627453799567389 absolute error = 1.1e-30 relative error = 4.3742559985086041731867217970926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (analytic) = 2.515485289374194894161992107025 y[1] (numeric) = 2.515485289374194894161992107024 absolute error = 1.0e-30 relative error = 3.9753760605325625403706746274656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.051 y[1] (analytic) = 2.516257307522246146961432912411 y[1] (numeric) = 2.5162573075222461469614329124109 absolute error = 1e-31 relative error = 3.9741563671192995962752309786774e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.5MB, time=118.45 x[1] = 3.052 y[1] (analytic) = 2.517029414551257244482918400495 y[1] (numeric) = 2.5170294145512572444829184004947 absolute error = 3e-31 relative error = 1.1918811844854216957869565534648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.053 y[1] (analytic) = 2.517801610456252128012751091809 y[1] (numeric) = 2.5178016104562521280127510918083 absolute error = 7e-31 relative error = 2.7802031625245987473931162286383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.054 y[1] (analytic) = 2.518573895232256655810737430209 y[1] (numeric) = 2.5185738952322566558107374302091 absolute error = 1e-31 relative error = 3.9705009326628571013145956728485e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.055 y[1] (analytic) = 2.519346268874298602137288955728 y[1] (numeric) = 2.5193462688742986021372889557266 absolute error = 1.4e-30 relative error = 5.5569971357115270397465241566861e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.056 y[1] (analytic) = 2.520118731377407656281206606356 y[1] (numeric) = 2.5201187313774076562812066063554 absolute error = 6e-31 relative error = 2.3808402061757671519037406021897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.057 y[1] (analytic) = 2.520891282736615421588147535951 y[1] (numeric) = 2.5208912827366154215881475359506 absolute error = 4e-31 relative error = 1.5867403832099025695590861426036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1983.7MB, alloc=4.5MB, time=118.82 x[1] = 3.058 y[1] (analytic) = 2.521663922946955414489773836051 y[1] (numeric) = 2.521663922946955414489773836051 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) = 2.522436652003463063533582550126 y[1] (numeric) = 2.5224366520034630635335825501255 absolute error = 5e-31 relative error = 1.9822103346098760539554362904079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (analytic) = 2.523209469901175708413416369405 y[1] (numeric) = 2.5232094699011757084134163694054 absolute error = 4e-31 relative error = 1.5852825727372782994569682969083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.061 y[1] (analytic) = 2.523982376635132599000654400135 y[1] (numeric) = 2.5239823766351325990006544001339 absolute error = 1.1e-30 relative error = 4.3581920784505391246320038453933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.062 y[1] (analytic) = 2.524755372200374894376082392731 y[1] (numeric) = 2.5247553722003748943760823927296 absolute error = 1.4e-30 relative error = 5.5450916766635967141860737029313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1987.5MB, alloc=4.5MB, time=119.18 x[1] = 3.063 y[1] (analytic) = 2.525528456591945661862441824027 y[1] (numeric) = 2.5255284565919456618624418240267 absolute error = 3e-31 relative error = 1.1878702028360140506670904220971e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.064 y[1] (analytic) = 2.52630162980488987605765722442 y[1] (numeric) = 2.5263016298048898760576572244193 absolute error = 7e-31 relative error = 2.7708488635779491878007430549519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.065 y[1] (analytic) = 2.527074891834254417868741142402 y[1] (numeric) = 2.5270748918342544178687411424018 absolute error = 2e-31 relative error = 7.9142885969173557720784996103220e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.066 y[1] (analytic) = 2.527848242675088073546376139659 y[1] (numeric) = 2.527848242675088073546376139659 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.067 y[1] (analytic) = 2.528621682322441533720173210523 y[1] (numeric) = 2.5286216823224415337201732105237 absolute error = 7e-31 relative error = 2.7683065635863605577631805255770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.068 y[1] (analytic) = 2.529395210771367392434606020279 y[1] (numeric) = 2.5293952107713673924346060202787 absolute error = 3e-31 relative error = 1.1860542738535178958813999583854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.5MB, time=119.54 x[1] = 3.069 y[1] (analytic) = 2.530168828016920146185620357444 y[1] (numeric) = 2.5301688280169201461856203574424 absolute error = 1.6e-30 relative error = 6.3236886893987938511362524781386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (analytic) = 2.530942534054156192957918195836 y[1] (numeric) = 2.5309425340541561929579181958362 absolute error = 2e-31 relative error = 7.9021944318756497035330773579718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.071 y[1] (analytic) = 2.531716328878133831262915762891 y[1] (numeric) = 2.5317163288781338312629157628909 absolute error = 1e-31 relative error = 3.9498896009535347562245224156705e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.072 y[1] (analytic) = 2.532490212483913259177375011306 y[1] (numeric) = 2.5324902124839132591773750113061 absolute error = 1e-31 relative error = 3.9486825855061508686260520679831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.073 y[1] (analytic) = 2.533264184866556573382707891836 y[1] (numeric) = 2.533264184866556573382707891836 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.074 y[1] (analytic) = 2.534038246021127768204952825629 y[1] (numeric) = 2.5340382460211277682049528256292 absolute error = 2e-31 relative error = 7.8925407031260917399256161583895e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.5MB, time=119.91 x[1] = 3.075 y[1] (analytic) = 2.534812395942692734655422775207 y[1] (numeric) = 2.5348123959426927346554227752059 absolute error = 1.1e-30 relative error = 4.3395716454625894861563270568972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.076 y[1] (analytic) = 2.535586634626319259472024313813 y[1] (numeric) = 2.535586634626319259472024313812 absolute error = 1.0e-30 relative error = 3.9438605107940808799114736579440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.077 y[1] (analytic) = 2.536360962067077024161247093542 y[1] (numeric) = 2.5363609620670770241612470935413 absolute error = 7e-31 relative error = 2.7598595407710256482421186249730e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.078 y[1] (analytic) = 2.537135378260037604040823113272 y[1] (numeric) = 2.5371353782600376040408231132709 absolute error = 1.1e-30 relative error = 4.3355983658797813621647877551084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.079 y[1] (analytic) = 2.537909883200274467283055188106 y[1] (numeric) = 2.5379098832002744672830551881068 absolute error = 8e-31 relative error = 3.1522001836850464668145699510039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.5MB, time=120.27 x[1] = 3.08 y[1] (analytic) = 2.538684476882862973958814022689 y[1] (numeric) = 2.5386844768828629739588140226886 absolute error = 4e-31 relative error = 1.5756191982201037214806670359983e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.081 y[1] (analytic) = 2.539459159302880375082203291351 y[1] (numeric) = 2.5394591593028803750822032913514 absolute error = 4e-31 relative error = 1.5751385429242579314553432393129e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.082 y[1] (analytic) = 2.540233930455405811655892128794 y[1] (numeric) = 2.5402339304554058116558921287927 absolute error = 1.3e-30 relative error = 5.1176389088186840725206961745042e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.083 y[1] (analytic) = 2.541008790335520313717114435542 y[1] (numeric) = 2.5410087903355203137171144355423 absolute error = 3e-31 relative error = 1.1806334599904605175014284043113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.084 y[1] (analytic) = 2.541783738938306799384334403179 y[1] (numeric) = 2.5417837389383067993843344031793 absolute error = 3e-31 relative error = 1.1802735040130079493220131475864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.085 y[1] (analytic) = 2.542558776258850073904577664889 y[1] (numeric) = 2.5425587762588500739045776648879 absolute error = 1.1e-30 relative error = 4.3263503297200174134400736245634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.5MB, time=120.64 x[1] = 3.086 y[1] (analytic) = 2.54333390229223682870142747759 y[1] (numeric) = 2.5433339022922368287014274775908 absolute error = 8e-31 relative error = 3.1454776711739737508618191675352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.087 y[1] (analytic) = 2.544109117033555640423685342544 y[1] (numeric) = 2.5441091170335556404236853425429 absolute error = 1.1e-30 relative error = 4.3237139186962455315352518753177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.088 y[1] (analytic) = 2.544884420477896969994695471914 y[1] (numeric) = 2.5448844204778969699946954719142 absolute error = 2e-31 relative error = 7.8589030759378274760813381508656e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.089 y[1] (analytic) = 2.545659812620353161662332509533 y[1] (numeric) = 2.5456598126203531616623325095326 absolute error = 4e-31 relative error = 1.5713018605901761090680165950761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (analytic) = 2.546435293456018442049651914602 y[1] (numeric) = 2.5464352934560184420496519146024 absolute error = 4e-31 relative error = 1.5708233428430084150822775552411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.091 y[1] (analytic) = 2.547210862979988919206202417855 y[1] (numeric) = 2.5472108629799889192062024178545 absolute error = 5e-31 relative error = 1.9629313272284362024495042979065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2006.6MB, alloc=4.5MB, time=121.00 x[1] = 3.092 y[1] (analytic) = 2.547986521187362581659999960228 y[1] (numeric) = 2.5479865211873625816599999602271 absolute error = 9e-31 relative error = 3.5322007888040149256614499493412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.093 y[1] (analytic) = 2.548762268073239297470162524815 y[1] (numeric) = 2.5487622680732392974701625248146 absolute error = 4e-31 relative error = 1.5693892090704236040857884195540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.094 y[1] (analytic) = 2.549538103632720813280205273463 y[1] (numeric) = 2.5495381036327208132802052734631 absolute error = 1e-31 relative error = 3.9222790927311323978024941222362e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.095 y[1] (analytic) = 2.550314027860910753371995400031 y[1] (numeric) = 2.5503140278609107533719954000302 absolute error = 8e-31 relative error = 3.1368686022991615253213170792830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.096 y[1] (analytic) = 2.551090040752914618720366112963 y[1] (numeric) = 2.5510900407529146187203661129629 absolute error = 1e-31 relative error = 3.9198930026980369749901012651208e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2010.4MB, alloc=4.5MB, time=121.37 x[1] = 3.097 y[1] (analytic) = 2.551866142303839786048389160487 y[1] (numeric) = 2.5518661423038397860483891604865 absolute error = 5e-31 relative error = 1.9593504208986332431696717208671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.098 y[1] (analytic) = 2.552642332508795506883305312333 y[1] (numeric) = 2.5526423325087955068833053123326 absolute error = 4e-31 relative error = 1.5670037079063513525355768734990e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.099 y[1] (analytic) = 2.553418611362892906613112212571 y[1] (numeric) = 2.5534186113628929066131122125702 absolute error = 8e-31 relative error = 3.1330546289587754160531902614069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (analytic) = 2.55419497886124498354380901874 y[1] (numeric) = 2.5541949788612449835438090187391 absolute error = 9e-31 relative error = 3.5236151016209946403667658952246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.101 y[1] (analytic) = 2.554971434998966607957297243118 y[1] (numeric) = 2.5549714349989666079572972431175 absolute error = 5e-31 relative error = 1.9569690414178827467929076404288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.102 y[1] (analytic) = 2.55574797977117452116993721259 y[1] (numeric) = 2.5557479797711745211699372125905 absolute error = 5e-31 relative error = 1.9563744311157269567600119584982e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.5MB, time=121.73 x[1] = 3.103 y[1] (analytic) = 2.556524613172987334591759564216 y[1] (numeric) = 2.5565246131729873345917595642166 absolute error = 6e-31 relative error = 2.3469361370838520353368426561802e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.104 y[1] (analytic) = 2.557301335199525528786331194224 y[1] (numeric) = 2.5573013351995255287863311942226 absolute error = 1.4e-30 relative error = 5.4745210536198673246790421680424e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.105 y[1] (analytic) = 2.558078145845911452531275078787 y[1] (numeric) = 2.5580781458459114525312750787864 absolute error = 6e-31 relative error = 2.3455108319280471102402175667014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.106 y[1] (analytic) = 2.5588550451072693218794433856 y[1] (numeric) = 2.5588550451072693218794433855985 absolute error = 1.5e-30 relative error = 5.8619967663589117382040644717180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.107 y[1] (analytic) = 2.55963203297872521922074329582 y[1] (numeric) = 2.5596320329787252192207432958211 absolute error = 1.1e-30 relative error = 4.2974927092152968907968848734935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.108 y[1] (analytic) = 2.560409109455407092344614956692 y[1] (numeric) = 2.5604091094554070923446149566919 absolute error = 1e-31 relative error = 3.9056258482563265590458481565223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.5MB, time=122.09 x[1] = 3.109 y[1] (analytic) = 2.561186274532444753503160985647 y[1] (numeric) = 2.5611862745324447535031609856483 absolute error = 1.3e-30 relative error = 5.0757729452431976157513845096072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.11 y[1] (analytic) = 2.561963528204969878474926947473 y[1] (numeric) = 2.5619635282049698784749269474728 absolute error = 2e-31 relative error = 7.8065123799841619393114301939161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.111 y[1] (analytic) = 2.562740870468116005629332226589 y[1] (numeric) = 2.5627408704681160056293322265878 absolute error = 1.2e-30 relative error = 4.6824866838011808182410784475421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.112 y[1] (analytic) = 2.563518301317018534991750717252 y[1] (numeric) = 2.5635183013170185349917507172517 absolute error = 3e-31 relative error = 1.1702666598708256219849243169673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.113 y[1] (analytic) = 2.564295820746814727309240755034 y[1] (numeric) = 2.5642958207468147273092407550331 absolute error = 9e-31 relative error = 3.5097354709172664257430923034755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.5MB, time=122.46 x[1] = 3.114 y[1] (analytic) = 2.565073428752643703116923713565 y[1] (numeric) = 2.5650734287526437031169237135645 absolute error = 5e-31 relative error = 1.9492619368917731728469289591737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.115 y[1] (analytic) = 2.565851125329646441805010691196 y[1] (numeric) = 2.5658511253296464418050106911964 absolute error = 4e-31 relative error = 1.5589369003184477422911631568074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.116 y[1] (analytic) = 2.566628910472965780686476712798 y[1] (numeric) = 2.5666289104729657806864767127986 absolute error = 6e-31 relative error = 2.3376967256611901262888193807655e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.117 y[1] (analytic) = 2.567406784177746414065381872574 y[1] (numeric) = 2.5674067841777464140653818725738 absolute error = 2e-31 relative error = 7.7899614986042516735500321829074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.118 y[1] (analytic) = 2.568184746439134892305838844369 y[1] (numeric) = 2.568184746439134892305838844369 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) = 2.568962797252279620901626186591 y[1] (numeric) = 2.568962797252279620901626186592 absolute error = 1.0e-30 relative error = 3.8926215711242823831844200601644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=122.83 x[1] = 3.12 y[1] (analytic) = 2.569740936612330859546446869455 y[1] (numeric) = 2.5697409366123308595464468694561 absolute error = 1.1e-30 relative error = 4.2805871375116952251112051785203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.121 y[1] (analytic) = 2.570519164514440721204831452896 y[1] (numeric) = 2.5705191645144407212048314528959 absolute error = 1e-31 relative error = 3.8902647130775055428945642150840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.122 y[1] (analytic) = 2.571297480953763171183685344114 y[1] (numeric) = 2.5712974809537631711836853441137 absolute error = 3e-31 relative error = 1.1667261459328383782152568444785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.123 y[1] (analytic) = 2.572075885925454026204479564333 y[1] (numeric) = 2.5720758859254540262044795643326 absolute error = 4e-31 relative error = 1.5551640687929264385319821136948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.124 y[1] (analytic) = 2.572854379424670953476084454947 y[1] (numeric) = 2.572854379424670953476084454947 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.125 y[1] (analytic) = 2.573632961446573469768245753877 y[1] (numeric) = 2.5736329614465734697682457538775 absolute error = 5e-31 relative error = 1.9427789723324135081796255337491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=123.19 x[1] = 3.126 y[1] (analytic) = 2.57441163198632294048570247355 y[1] (numeric) = 2.5744116319863229404857024735501 absolute error = 1e-31 relative error = 3.8843826976824065769030482112184e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.127 y[1] (analytic) = 2.575190391039082578742946012533 y[1] (numeric) = 2.5751903910390825787429460125334 absolute error = 4e-31 relative error = 1.5532832111826925835204611000631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.128 y[1] (analytic) = 2.575969238600017444439619933478 y[1] (numeric) = 2.5759692386000174444396199334791 absolute error = 1.1e-30 relative error = 4.2702373286018965692872223952422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.129 y[1] (analytic) = 2.576748174664294443336559840624 y[1] (numeric) = 2.5767481746642944433365598406241 absolute error = 1e-31 relative error = 3.8808604186952907833887236736723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (analytic) = 2.577527199227082326132472790722 y[1] (numeric) = 2.5775271992270823261324727907222 absolute error = 2e-31 relative error = 7.7593749567404596320961348635828e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2033.3MB, alloc=4.6MB, time=123.56 x[1] = 3.131 y[1] (analytic) = 2.578306312283551687541255671885 y[1] (numeric) = 2.5783063122835516875412556718841 absolute error = 9e-31 relative error = 3.4906636023509903445927483143264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.132 y[1] (analytic) = 2.579085513828874965369951985415 y[1] (numeric) = 2.5790855138288749653699519854137 absolute error = 1.3e-30 relative error = 5.0405463216690238305335899933011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.133 y[1] (analytic) = 2.579864803858226439597346466337 y[1] (numeric) = 2.579864803858226439597346466337 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.134 y[1] (analytic) = 2.580644182366782231453196978927 y[1] (numeric) = 2.580644182366782231453196978928 absolute error = 1.0e-30 relative error = 3.8750014699154361428273795208131e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.135 y[1] (analytic) = 2.581423649349720302498103124143 y[1] (numeric) = 2.5814236493497203024981031241424 absolute error = 6e-31 relative error = 2.3242988424280703975723375316565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.136 y[1] (analytic) = 2.582203204802220453704010996479 y[1] (numeric) = 2.5822032048022204537040109964776 absolute error = 1.4e-30 relative error = 5.4217266766471644288150190175689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2037.1MB, alloc=4.6MB, time=123.92 x[1] = 3.137 y[1] (analytic) = 2.582982848719464324535353528381 y[1] (numeric) = 2.5829828487194643245353535283807 absolute error = 3e-31 relative error = 1.1614478979166568870078637913853e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.138 y[1] (analytic) = 2.583762581096635392030825860933 y[1] (numeric) = 2.5837625810966353920308258609333 absolute error = 3e-31 relative error = 1.1610973941447435561150161168441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.139 y[1] (analytic) = 2.584542401928918969885795180145 y[1] (numeric) = 2.584542401928918969885795180144 absolute error = 1.0e-30 relative error = 3.8691568737803295115998496120571e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (analytic) = 2.585322311211502207535344458783 y[1] (numeric) = 2.5853223112115022075353444587838 absolute error = 8e-31 relative error = 3.0943917380464401664400623222864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.141 y[1] (analytic) = 2.586102308939574089237949544301 y[1] (numeric) = 2.5861023089395740892379495443012 absolute error = 2e-31 relative error = 7.7336460861832487572590422821917e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.142 y[1] (analytic) = 2.586882395108325433159789033956 y[1] (numeric) = 2.5868823951083254331597890339564 absolute error = 4e-31 relative error = 1.5462627939962846332105819710530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.6MB, time=124.28 x[1] = 3.143 y[1] (analytic) = 2.587662569712948890459686378914 y[1] (numeric) = 2.5876625697129488904596863789134 absolute error = 6e-31 relative error = 2.3186948987191880830748377118377e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.144 y[1] (analytic) = 2.58844283274863894437468365963 y[1] (numeric) = 2.588442832748638944374683659631 absolute error = 1.0e-30 relative error = 3.8633265813257734202034010866958e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.145 y[1] (analytic) = 2.589223184210591909306246475491 y[1] (numeric) = 2.5892231842105919093062464754909 absolute error = 1e-31 relative error = 3.8621622349827761625992365645219e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.146 y[1] (analytic) = 2.5900036240940059299070993922 y[1] (numeric) = 2.5900036240940059299070993922011 absolute error = 1.1e-30 relative error = 4.2470983042920821698812255553195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.147 y[1] (analytic) = 2.59078415239408098016869139111 y[1] (numeric) = 2.59078415239408098016869139111 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.6MB, time=124.65 x[1] = 3.148 y[1] (analytic) = 2.591564769106018862509290765164 y[1] (numeric) = 2.5915647691060188625092907651643 absolute error = 3e-31 relative error = 1.1576017839735003650315496918332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.149 y[1] (analytic) = 2.592345474225023206862708906839 y[1] (numeric) = 2.5923454742250232068627089068392 absolute error = 2e-31 relative error = 7.7150210876036737740202898054264e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (analytic) = 2.593126267746299469767652433965 y[1] (numeric) = 2.5931262677462994697676524339656 absolute error = 6e-31 relative error = 2.3138094255682479855713944946280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.151 y[1] (analytic) = 2.593907149665054933457703099974 y[1] (numeric) = 2.5939071496650549334577030999738 absolute error = 2e-31 relative error = 7.7103762185869114380600464437330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.152 y[1] (analytic) = 2.594688119976498704951924935667 y[1] (numeric) = 2.5946881199764987049519249356673 absolute error = 3e-31 relative error = 1.1562083230362084491822138608158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.153 y[1] (analytic) = 2.595469178675841715146098070232 y[1] (numeric) = 2.5954691786758417151460980702326 absolute error = 6e-31 relative error = 2.3117207668253198851933824661349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.6MB, time=125.01 x[1] = 3.154 y[1] (analytic) = 2.596250325758296717904578679785 y[1] (numeric) = 2.5962503257582967179045786797856 absolute error = 6e-31 relative error = 2.3110252276030267439307659562755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.155 y[1] (analytic) = 2.597031561219078289152784512344 y[1] (numeric) = 2.5970315612190782891527845123446 absolute error = 6e-31 relative error = 2.3103300281739844631981886964760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.156 y[1] (analytic) = 2.597812885053402825970305438712 y[1] (numeric) = 2.5978128850534028259703054387123 absolute error = 3e-31 relative error = 1.1548175841534212259194357989708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.157 y[1] (analytic) = 2.59859429725648854568463847934 y[1] (numeric) = 2.5985942972564885456846384793399 absolute error = 1e-31 relative error = 3.8482344129507538713607369339405e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.158 y[1] (analytic) = 2.599375797823555484965546757834 y[1] (numeric) = 2.599375797823555484965546757834 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.159 y[1] (analytic) = 2.600157386749825498920041832359 y[1] (numeric) = 2.6001573867498254989200418323588 absolute error = 2e-31 relative error = 7.6918420792211462984625008556470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.6MB, time=125.37 x[1] = 3.16 y[1] (analytic) = 2.600939064030522260187988856771 y[1] (numeric) = 2.6009390640305222601879888567709 absolute error = 1e-31 relative error = 3.8447651997288964845245408169764e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.161 y[1] (analytic) = 2.601720829660871258038334023914 y[1] (numeric) = 2.6017208296608712580383340239139 absolute error = 1e-31 relative error = 3.8436099238608465913194474646351e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.162 y[1] (analytic) = 2.602502683636099797465953744085 y[1] (numeric) = 2.6025026836360997974659537440856 absolute error = 6e-31 relative error = 2.3054731269737134833412280457233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.163 y[1] (analytic) = 2.603284625951436998289125012276 y[1] (numeric) = 2.6032846259514369982891250122759 absolute error = 1e-31 relative error = 3.8413010626316913185952063982569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.164 y[1] (analytic) = 2.604066656602113794247616418359 y[1] (numeric) = 2.6040666566021137942476164183593 absolute error = 3e-31 relative error = 1.1520442429513364460266135314632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=125.74 x[1] = 3.165 y[1] (analytic) = 2.604848775583362932101399255011 y[1] (numeric) = 2.6048487755833629321013992550107 absolute error = 3e-31 relative error = 1.1516983358575746424656929149021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.166 y[1] (analytic) = 2.605630982890418970729978178696 y[1] (numeric) = 2.6056309828904189707299781786955 absolute error = 5e-31 relative error = 1.9189209956559214500988419297709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.167 y[1] (analytic) = 2.606413278518518280232340879669 y[1] (numeric) = 2.6064132785185182802323408796689 absolute error = 1e-31 relative error = 3.8366900914823401432887092542101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.168 y[1] (analytic) = 2.607195662462899041027526217501 y[1] (numeric) = 2.6071956624628990410275262175016 absolute error = 6e-31 relative error = 2.3013232517931059957596013289863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.169 y[1] (analytic) = 2.607978134718801242955810279229 y[1] (numeric) = 2.6079781347188012429558102792292 absolute error = 2e-31 relative error = 7.6687759508982425826368977267701e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (analytic) = 2.608760695281466684380509817805 y[1] (numeric) = 2.608760695281466684380509817805 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2060.0MB, alloc=4.6MB, time=126.10 x[1] = 3.171 y[1] (analytic) = 2.609543344146138971290402529115 y[1] (numeric) = 2.6095433441461389712904025291147 absolute error = 3e-31 relative error = 1.1496264305131215234095590464400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.172 y[1] (analytic) = 2.610326081308063516402763626392 y[1] (numeric) = 2.610326081308063516402763626391 absolute error = 1.0e-30 relative error = 3.8309390047502756645337776444546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.173 y[1] (analytic) = 2.611108906762487538267018171445 y[1] (numeric) = 2.6111089067624875382670181714447 absolute error = 3e-31 relative error = 1.1489371401668949569162843110167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.174 y[1] (analytic) = 2.611891820504660060369008622707 y[1] (numeric) = 2.6118918205046600603690086227068 absolute error = 2e-31 relative error = 7.6572849774979095807242131942109e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.175 y[1] (analytic) = 2.612674822529831910235877060652 y[1] (numeric) = 2.6126748225298319102358770606525 absolute error = 5e-31 relative error = 1.9137475344744741020435299303416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.176 y[1] (analytic) = 2.613457912833255718541561551755 y[1] (numeric) = 2.6134579128332557185415615517551 absolute error = 1e-31 relative error = 3.8263482074440514177356267745809e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=2063.8MB, alloc=4.6MB, time=126.47 TOP MAIN SOLVE Loop x[1] = 3.177 y[1] (analytic) = 2.614241091410185918212906112693 y[1] (numeric) = 2.614241091410185918212906112693 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.178 y[1] (analytic) = 2.615024358255878743536383737109 y[1] (numeric) = 2.6150243582558787435363837371076 absolute error = 1.4e-30 relative error = 5.3536786209278236639581576093170e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.179 y[1] (analytic) = 2.615807713365592229265431947785 y[1] (numeric) = 2.6158077133655922292654319477846 absolute error = 4e-31 relative error = 1.5291643875663384369859885658877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (analytic) = 2.616591156734586209728400337705 y[1] (numeric) = 2.6165911567345862097284003377036 absolute error = 1.4e-30 relative error = 5.3504728715324055054806506319066e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.181 y[1] (analytic) = 2.617374688358122317937109563977 y[1] (numeric) = 2.6173746883581223179371095639759 absolute error = 1.1e-30 relative error = 4.2026844872181039789589039883610e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=126.83 x[1] = 3.182 y[1] (analytic) = 2.618158308231463984696021259258 y[1] (numeric) = 2.6181583082314639846960212592583 absolute error = 3e-31 relative error = 1.1458436224303280248070289689888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.183 y[1] (analytic) = 2.618942016349876437712018325807 y[1] (numeric) = 2.6189420163498764377120183258069 absolute error = 1e-31 relative error = 3.8183357774134294847290880869695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.184 y[1] (analytic) = 2.619725812708626700704795077901 y[1] (numeric) = 2.6197258127086267007047950779009 absolute error = 1e-31 relative error = 3.8171933686680928336818276470609e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.185 y[1] (analytic) = 2.62050969730298359251785669894 y[1] (numeric) = 2.6205096973029835925178566989396 absolute error = 4e-31 relative error = 1.5264206059289845097346161967467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.186 y[1] (analytic) = 2.621293670128217726230127480082 y[1] (numeric) = 2.6212936701282177262301274800824 absolute error = 4e-31 relative error = 1.5259640862003624166835741379195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.187 y[1] (analytic) = 2.622077731179601508268167307872 y[1] (numeric) = 2.6220777311796015082681673078721 absolute error = 1e-31 relative error = 3.8137694703281247808827751502074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=127.20 x[1] = 3.188 y[1] (analytic) = 2.622861880452409137518995868846 y[1] (numeric) = 2.6228618804524091375189958688472 absolute error = 1.2e-30 relative error = 4.5751551347149694407423372671403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.189 y[1] (analytic) = 2.623646117941916604443524039719 y[1] (numeric) = 2.6236461179419166044435240397185 absolute error = 5e-31 relative error = 1.9057448204646523636983704163554e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.19 y[1] (analytic) = 2.624430443643401690190591932248 y[1] (numeric) = 2.6244304436434016901905919322489 absolute error = 9e-31 relative error = 3.4293155003588611439043245643509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.191 y[1] (analytic) = 2.625214857552143965711613062543 y[1] (numeric) = 2.6252148575521439657116130625423 absolute error = 7e-31 relative error = 2.6664484165410681267242133146924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.192 y[1] (analytic) = 2.625999359663424790875824115013 y[1] (numeric) = 2.6259993596634247908758241150127 absolute error = 3e-31 relative error = 1.1424222130749152182861893049316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.193 y[1] (analytic) = 2.626783949972527313586139771868 y[1] (numeric) = 2.6267839499725273135861397718668 absolute error = 1.2e-30 relative error = 4.5683239385277590610373967049507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2075.2MB, alloc=4.6MB, time=127.56 TOP MAIN SOLVE Loop x[1] = 3.194 y[1] (analytic) = 2.6275686284747364688956120795 y[1] (numeric) = 2.6275686284747364688956120794993 absolute error = 7e-31 relative error = 2.6640598171791209441497770260535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.195 y[1] (analytic) = 2.62835339516533897812449382376 y[1] (numeric) = 2.6283533951653389781244938237601 absolute error = 1e-31 relative error = 3.8046634133728964704631268460850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.196 y[1] (analytic) = 2.629138250039623347977905386617 y[1] (numeric) = 2.6291382500396233479779053866174 absolute error = 4e-31 relative error = 1.5214110554816646101935558864577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.197 y[1] (analytic) = 2.629923193092879869664104557299 y[1] (numeric) = 2.6299231930928798696641045572996 absolute error = 6e-31 relative error = 2.2814354486694321391463219207280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.198 y[1] (analytic) = 2.630708224320400618013358771561 y[1] (numeric) = 2.6307082243204006180133587715602 absolute error = 8e-31 relative error = 3.0410061921886703831737058231798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.6MB, time=127.92 x[1] = 3.199 y[1] (analytic) = 2.631493343717479450597419253272 y[1] (numeric) = 2.631493343717479450597419253271 absolute error = 1.0e-30 relative error = 3.8001236156931024377705349495638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (analytic) = 2.632278551279412006849596533106 y[1] (numeric) = 2.6322785512794120068495965331057 absolute error = 3e-31 relative error = 1.1396970121349269660325135869165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.201 y[1] (analytic) = 2.633063847001495707185436819637 y[1] (numeric) = 2.6330638470014957071854368196371 absolute error = 1e-31 relative error = 3.7978570141350315376437951632574e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.202 y[1] (analytic) = 2.633849230879029752123998698726 y[1] (numeric) = 2.6338492308790297521239986987262 absolute error = 2e-31 relative error = 7.5934490727569597230925180688767e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.203 y[1] (analytic) = 2.634634702907315121409729637641 y[1] (numeric) = 2.6346347029073151214097296376411 absolute error = 1e-31 relative error = 3.7955926068099749158812740035674e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.204 y[1] (analytic) = 2.635420263081654573134941770898 y[1] (numeric) = 2.6354202630816545731349417708976 absolute error = 4e-31 relative error = 1.5177844900238842685699819419364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.6MB, time=128.29 x[1] = 3.205 y[1] (analytic) = 2.63620591139735264286288644537 y[1] (numeric) = 2.6362059113973526428628864453711 absolute error = 1.1e-30 relative error = 4.1726634298340214738931807330922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.206 y[1] (analytic) = 2.636991647849715642751427002784 y[1] (numeric) = 2.6369916478497156427514270027832 absolute error = 8e-31 relative error = 3.0337600828290248282554809115097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.207 y[1] (analytic) = 2.637777472434051660677309278221 y[1] (numeric) = 2.6377774724340516606773092782204 absolute error = 6e-31 relative error = 2.2746422178150620614257238074083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.208 y[1] (analytic) = 2.638563385145670559361029293898 y[1] (numeric) = 2.6385633851456705593610292938973 absolute error = 7e-31 relative error = 2.6529588181992990117200208516801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.209 y[1] (analytic) = 2.639349385979883975492297627927 y[1] (numeric) = 2.6393493859798839754922976279279 absolute error = 9e-31 relative error = 3.4099312685950681714590699631194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (analytic) = 2.640135474932005318856099938422 y[1] (numeric) = 2.6401354749320053188560999384224 absolute error = 4e-31 relative error = 1.5150737672289400064639558839711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2086.7MB, alloc=4.6MB, time=128.66 TOP MAIN SOLVE Loop x[1] = 3.211 y[1] (analytic) = 2.640921651997349771459353123776 y[1] (numeric) = 2.6409216519973497714593531237762 absolute error = 2e-31 relative error = 7.5731137214441189647704610062032e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.212 y[1] (analytic) = 2.641707917171234286658156600572 y[1] (numeric) = 2.6417079171712342866581566005717 absolute error = 3e-31 relative error = 1.1356289544729185085273307301328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.213 y[1] (analytic) = 2.642494270448977588285638181061 y[1] (numeric) = 2.6424942704489775882856381810608 absolute error = 2e-31 relative error = 7.5686067605368412738211130923267e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.214 y[1] (analytic) = 2.643280711825900169780394032746 y[1] (numeric) = 2.6432807118259001697803940327464 absolute error = 4e-31 relative error = 1.5132709825726069994272130031350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.215 y[1] (analytic) = 2.644067241297324293315522203131 y[1] (numeric) = 2.6440672412973242933155222031311 absolute error = 1e-31 relative error = 3.7820520763660503439942436277771e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2090.5MB, alloc=4.6MB, time=129.02 x[1] = 3.216 y[1] (analytic) = 2.644853858858573988928249193247 y[1] (numeric) = 2.6448538588585739889282491932469 absolute error = 1e-31 relative error = 3.7809272397060337758586720270181e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.217 y[1] (analytic) = 2.64564056450497505365014906413 y[1] (numeric) = 2.6456405645049750536501490641301 absolute error = 1e-31 relative error = 3.7798029460857986015190733069880e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.218 y[1] (analytic) = 2.646427358231855050637954560948 y[1] (numeric) = 2.646427358231855050637954560949 absolute error = 1.0e-30 relative error = 3.7786791951399914993873910394374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.219 y[1] (analytic) = 2.647214240034543308304959740041 y[1] (numeric) = 2.647214240034543308304959740041 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) = 2.648001209908370919453013584658 y[1] (numeric) = 2.6480012099083709194530135846592 absolute error = 1.2e-30 relative error = 4.5317199837741906981264684885368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.221 y[1] (analytic) = 2.648788267848670740405104095773 y[1] (numeric) = 2.6487882678486707404051040957736 absolute error = 6e-31 relative error = 2.2651867168202018888965398755771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=129.38 x[1] = 3.222 y[1] (analytic) = 2.649575413850777390138532344816 y[1] (numeric) = 2.649575413850777390138532344816 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) = 2.650362647910027249418675975801 y[1] (numeric) = 2.6503626479100272494186759758019 absolute error = 9e-31 relative error = 3.3957617109858718554715090314069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.224 y[1] (analytic) = 2.651149970021758459933341644804 y[1] (numeric) = 2.6511499700217584599333416448031 absolute error = 9e-31 relative error = 3.3947532586872614366803520504126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.225 y[1] (analytic) = 2.651937380181310923427705885291 y[1] (numeric) = 2.6519373801813109234277058852895 absolute error = 1.5e-30 relative error = 5.6562421541697419385885980959600e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.226 y[1] (analytic) = 2.652724878384026300839843888397 y[1] (numeric) = 2.652724878384026300839843888397 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) = 2.653512464625248011436845687721 y[1] (numeric) = 2.6535124646252480114368456877211 absolute error = 1e-31 relative error = 3.7685897968496207989165067392086e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=2098.1MB, alloc=4.6MB, time=129.75 TOP MAIN SOLVE Loop x[1] = 3.228 y[1] (analytic) = 2.654300138900321231951519238775 y[1] (numeric) = 2.6543001389003212319515192387748 absolute error = 2e-31 relative error = 7.5349429052458312914666750006535e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.229 y[1] (analytic) = 2.655087901204592895719679883788 y[1] (numeric) = 2.6550879012045928957196798837883 absolute error = 3e-31 relative error = 1.1299060941217513537651865943078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (analytic) = 2.655875751533411691818025693067 y[1] (numeric) = 2.6558757515334116918180256930677 absolute error = 7e-31 relative error = 2.6356654658857590604115321723661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.231 y[1] (analytic) = 2.656663689882128064202598174665 y[1] (numeric) = 2.6566636898821280642025981746659 absolute error = 9e-31 relative error = 3.3877076854990688199624962595945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.232 y[1] (analytic) = 2.657451716246094210847827844658 y[1] (numeric) = 2.6574517162460942108478278446588 absolute error = 8e-31 relative error = 3.0104027670917642767430943543935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.6MB, time=130.11 x[1] = 3.233 y[1] (analytic) = 2.658239830620664082886164150853 y[1] (numeric) = 2.6582398306206640828861641508532 absolute error = 2e-31 relative error = 7.5237756088133939035570554745437e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.234 y[1] (analytic) = 2.659028033001193383748289243292 y[1] (numeric) = 2.6590280330011933837482892432918 absolute error = 2e-31 relative error = 7.5215453736403026142857808369399e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.235 y[1] (analytic) = 2.659816323383039568303915085453 y[1] (numeric) = 2.6598163233830395683039150854534 absolute error = 4e-31 relative error = 1.5038632422980137011821935415833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.236 y[1] (analytic) = 2.660604701761561842003163400582 y[1] (numeric) = 2.6606047017615618420031634005826 absolute error = 6e-31 relative error = 2.2551264364929729397912469672190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.237 y[1] (analytic) = 2.661393168132121160018527948116 y[1] (numeric) = 2.6613931681321211600185279481162 absolute error = 2e-31 relative error = 7.5148611033809972693381422861591e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.238 y[1] (analytic) = 2.662181722490080226387418625708 y[1] (numeric) = 2.6621817224900802263874186257073 absolute error = 7e-31 relative error = 2.6294223045947920912425437642039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=130.48 x[1] = 3.239 y[1] (analytic) = 2.66297036483080349315528689288 y[1] (numeric) = 2.6629703648308034931552868928803 absolute error = 3e-31 relative error = 1.1265615418107029056705124637721e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (analytic) = 2.663759095149657159519332012881 y[1] (numeric) = 2.6637590951496571595193320128814 absolute error = 4e-31 relative error = 1.5016372941845438271226421211021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.241 y[1] (analytic) = 2.664547913442009170972787609822 y[1] (numeric) = 2.6645479134420091709727876098222 absolute error = 2e-31 relative error = 7.5059637318228607111352650058182e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.242 y[1] (analytic) = 2.665336819703229218449788038742 y[1] (numeric) = 2.6653368197032292184497880387421 absolute error = 1e-31 relative error = 3.7518710303613506145748352555698e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.243 y[1] (analytic) = 2.666125813928688737470814066747 y[1] (numeric) = 2.6661258139286887374708140667468 absolute error = 2e-31 relative error = 7.5015214569071131487052262899705e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.244 y[1] (analytic) = 2.666914896113760907288717363909 y[1] (numeric) = 2.6669148961137609072887173639091 absolute error = 1e-31 relative error = 3.7496509598307918052116347761439e-30 % Correct digits = 31 h = 0.001 memory used=2109.6MB, alloc=4.6MB, time=130.84 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.245 y[1] (analytic) = 2.667704066253820650035323303146 y[1] (numeric) = 2.6677040662538206500353233031462 absolute error = 2e-31 relative error = 7.4970834482722137912693362319923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.246 y[1] (analytic) = 2.668493324344244629868611568816 y[1] (numeric) = 2.6684933243442446298686115688163 absolute error = 3e-31 relative error = 1.1242299063038577390187259950358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.247 y[1] (analytic) = 2.669282670380411252120474074303 y[1] (numeric) = 2.6692826703804112521204740743042 absolute error = 1.2e-30 relative error = 4.4955898201256546004945751639262e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.248 y[1] (analytic) = 2.670072104357700662445049689393 y[1] (numeric) = 2.6700721043577006624450496893925 absolute error = 5e-31 relative error = 1.8726086055278178589975631662479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.249 y[1] (analytic) = 2.670861626271494745967635278741 y[1] (numeric) = 2.67086162627149474596763527874 absolute error = 1.0e-30 relative error = 3.7441101035099052258324376599852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2113.4MB, alloc=4.6MB, time=131.20 x[1] = 3.25 y[1] (analytic) = 2.671651236117177126434172553316 y[1] (numeric) = 2.6716512361171771264341725533158 absolute error = 2e-31 relative error = 7.4860070542242030894035687394151e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.251 y[1] (analytic) = 2.672440933890133165361310237161 y[1] (numeric) = 2.6724409338901331653613102371609 absolute error = 1e-31 relative error = 3.7418974815071106195814883470472e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.252 y[1] (analytic) = 2.673230719585749961187041052373 y[1] (numeric) = 2.6732307195857499611870410523734 absolute error = 4e-31 relative error = 1.4963167865360492665964277176780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.253 y[1] (analytic) = 2.674020593199416348421913025738 y[1] (numeric) = 2.6740205931994163484219130257376 absolute error = 4e-31 relative error = 1.4958747925026537412244730423385e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.254 y[1] (analytic) = 2.674810554726522896800814620938 y[1] (numeric) = 2.6748105547265228968008146209381 absolute error = 1e-31 relative error = 3.7385825259024434794990158400101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.255 y[1] (analytic) = 2.675600604162461910435333200825 y[1] (numeric) = 2.6756006041624619104353332008246 absolute error = 4e-31 relative error = 1.4949914399694614639794316402100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=131.57 x[1] = 3.256 y[1] (analytic) = 2.676390741502627426966686324711 y[1] (numeric) = 2.6763907415026274269666863247118 absolute error = 8e-31 relative error = 2.9891001623733372033962604492022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.257 y[1] (analytic) = 2.677180966742415216719225386223 y[1] (numeric) = 2.6771809667424152167192253862217 absolute error = 1.3e-30 relative error = 4.8558540350816688400839010584182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.258 y[1] (analytic) = 2.677971279877222781854511097695 y[1] (numeric) = 2.6779712798772227818545110976948 absolute error = 2e-31 relative error = 7.4683399894105443909258566384936e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.259 y[1] (analytic) = 2.678761680902449355525960327716 y[1] (numeric) = 2.6787616809024493555259603277155 absolute error = 5e-31 relative error = 1.8665340913475914409064311166987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (analytic) = 2.679552169813495901034063798817 y[1] (numeric) = 2.6795521698134959010340637988173 absolute error = 3e-31 relative error = 1.1195900694886668831386080894504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=131.93 x[1] = 3.261 y[1] (analytic) = 2.680342746605765110982174152951 y[1] (numeric) = 2.6803427466057651109821741529505 absolute error = 5e-31 relative error = 1.8654330705771558548923023720240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.262 y[1] (analytic) = 2.681133411274661406432863892813 y[1] (numeric) = 2.6811334112746614064328638928128 absolute error = 2e-31 relative error = 7.4595318218393402052468411577117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.263 y[1] (analytic) = 2.68192416381559093606485270766 y[1] (numeric) = 2.68192416381559093606485270766 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.264 y[1] (analytic) = 2.682715004223961575330503692732 y[1] (numeric) = 2.682715004223961575330503692731 absolute error = 1.0e-30 relative error = 3.7275670297645855399494671313239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.265 y[1] (analytic) = 2.683505932495182925613887971937 y[1] (numeric) = 2.6835059324951829256138879719356 absolute error = 1.4e-30 relative error = 5.2170557293989253908701789565819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.266 y[1] (analytic) = 2.684296948624666313389417233969 y[1] (numeric) = 2.6842969486246663133894172339701 absolute error = 1.1e-30 relative error = 4.0979072772242988701280722216985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=132.29 x[1] = 3.267 y[1] (analytic) = 2.685088052607824789381043692538 y[1] (numeric) = 2.6850880526078247893810436925379 absolute error = 1e-31 relative error = 3.7242726510543106614945871397668e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.268 y[1] (analytic) = 2.685879244440073127722026981869 y[1] (numeric) = 2.6858792444400731277220269818691 absolute error = 1e-31 relative error = 3.7231755748887757813509655095252e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.269 y[1] (analytic) = 2.686670524116827825115267499242 y[1] (numeric) = 2.6866705241168278251152674992424 absolute error = 4e-31 relative error = 1.4888316092703234053592811825974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.27 y[1] (analytic) = 2.687461891633507099994205706728 y[1] (numeric) = 2.6874618916335070999942057067285 absolute error = 5e-31 relative error = 1.8604914977830156054390002838227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.271 y[1] (analytic) = 2.688253346985530891684286904884 y[1] (numeric) = 2.6882533469855308916842869048836 absolute error = 4e-31 relative error = 1.4879549966841459983927360949492e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.272 y[1] (analytic) = 2.689044890168320859564990991634 y[1] (numeric) = 2.6890448901683208595649909916337 absolute error = 3e-31 relative error = 1.1156377533780088343516861560117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.6MB, time=132.65 x[1] = 3.273 y[1] (analytic) = 2.689836521177300382232426720101 y[1] (numeric) = 2.6898365211773003822324267201006 absolute error = 4e-31 relative error = 1.4870792215466169163556706887050e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.274 y[1] (analytic) = 2.690628240007894556662489969631 y[1] (numeric) = 2.6906282400078945566624899696315 absolute error = 5e-31 relative error = 1.8583020595908595418200688130871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.275 y[1] (analytic) = 2.691420046655530197374585544801 y[1] (numeric) = 2.691420046655530197374585544801 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.276 y[1] (analytic) = 2.692211941115635835595912017666 y[1] (numeric) = 2.6922119411156358355959120176656 absolute error = 4e-31 relative error = 1.4857671266187256231371519831348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.277 y[1] (analytic) = 2.693003923383641718426309129057 y[1] (numeric) = 2.6930039233836417184263091290566 absolute error = 4e-31 relative error = 1.4853301791607398923333525847649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.6MB, time=133.02 x[1] = 3.278 y[1] (analytic) = 2.693795993454979808003667265206 y[1] (numeric) = 2.6937959934549798080036672652063 absolute error = 3e-31 relative error = 1.1136700801727351150394187430171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.279 y[1] (analytic) = 2.694588151325083780669898526507 y[1] (numeric) = 2.6945881513250837806698985265079 absolute error = 9e-31 relative error = 3.3400280467997244804194378704902e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (analytic) = 2.695380396989389026137468905716 y[1] (numeric) = 2.6953803969893890261374689057167 absolute error = 7e-31 relative error = 2.5970360279456900277414102190006e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.281 y[1] (analytic) = 2.696172730443332646656491093404 y[1] (numeric) = 2.6961727304433326466564910934042 absolute error = 2e-31 relative error = 7.4179223660909117068135821815707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.282 y[1] (analytic) = 2.696965151682353456182377428984 y[1] (numeric) = 2.6969651516823534561823774289839 absolute error = 1e-31 relative error = 3.7078714175309420315041774381959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.283 y[1] (analytic) = 2.69775766070189197954405251613 y[1] (numeric) = 2.6977576607018919795440525161291 absolute error = 9e-31 relative error = 3.3361039544443051980622844487690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2136.3MB, alloc=4.6MB, time=133.38 x[1] = 3.284 y[1] (analytic) = 2.698550257497390451612725021909 y[1] (numeric) = 2.6985502574973904516127250219084 absolute error = 6e-31 relative error = 2.2234160669530543704583047283650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.285 y[1] (analytic) = 2.699342942064292816471218179468 y[1] (numeric) = 2.6993429420642928164712181794678 absolute error = 2e-31 relative error = 7.4092104742738690483815089593317e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.286 y[1] (analytic) = 2.70013571439804472658385851459 y[1] (numeric) = 2.7001357143980447265838585145888 absolute error = 1.2e-30 relative error = 4.4442210574868168438641797230930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.287 y[1] (analytic) = 2.700928574494093541966922316956 y[1] (numeric) = 2.7009285744940935419669223169558 absolute error = 2e-31 relative error = 7.4048607537673101467211385512159e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.288 y[1] (analytic) = 2.701721522347888329359639377466 y[1] (numeric) = 2.701721522347888329359639377466 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) = 2.702514557954879861395753513416 y[1] (numeric) = 2.7025145579548798613957535134156 absolute error = 4e-31 relative error = 1.4801030352365570694914418945544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2140.1MB, alloc=4.6MB, time=133.74 x[1] = 3.29 y[1] (analytic) = 2.703307681310520615775639403898 y[1] (numeric) = 2.7033076813105206157756394038968 absolute error = 1.2e-30 relative error = 4.4390063635607289241283891483530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.291 y[1] (analytic) = 2.704100892410264774438975258238 y[1] (numeric) = 2.704100892410264774438975258238 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) = 2.704894191249568222737970840819 y[1] (numeric) = 2.7048941912495682227379708408195 absolute error = 5e-31 relative error = 1.8485011414402763436603645588296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.293 y[1] (analytic) = 2.705687577823888548611150376096 y[1] (numeric) = 2.705687577823888548611150376095 absolute error = 1.0e-30 relative error = 3.6959182138991560691063146650039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.294 y[1] (analytic) = 2.706481052128685041757689858146 y[1] (numeric) = 2.7064810521286850417576898581453 absolute error = 7e-31 relative error = 2.5863842625073626538649080293341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=134.10 x[1] = 3.295 y[1] (analytic) = 2.707274614159418692812308289591 y[1] (numeric) = 2.707274614159418692812308289589 absolute error = 2.0e-30 relative error = 7.3875032460309894108773463904392e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.296 y[1] (analytic) = 2.70806826391155219252071237517 y[1] (numeric) = 2.7080682639115521925207123751707 absolute error = 7e-31 relative error = 2.5848683703006631224181182625916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.297 y[1] (analytic) = 2.708862001380549930915594195841 y[1] (numeric) = 2.708862001380549930915594195842 absolute error = 1.0e-30 relative error = 3.6915870926254566287640443180540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.298 y[1] (analytic) = 2.709655826561877996493181389647 y[1] (numeric) = 2.7096558265618779964931813896473 absolute error = 3e-31 relative error = 1.1071516797786538637515913209098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.299 y[1] (analytic) = 2.710449739451004175390339366218 y[1] (numeric) = 2.7104497394510041753903393662185 absolute error = 5e-31 relative error = 1.8447123099994244334505630539482e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (analytic) = 2.711243740043397950562225082178 y[1] (numeric) = 2.7112437400433979505622250821787 absolute error = 7e-31 relative error = 2.5818409081464410853406822214912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=134.47 x[1] = 3.301 y[1] (analytic) = 2.712037828334530500960491905248 y[1] (numeric) = 2.712037828334530500960491905247 absolute error = 1.0e-30 relative error = 3.6872642024101212718018376795878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.302 y[1] (analytic) = 2.712832004319874700712045095329 y[1] (numeric) = 2.7128320043198747007120450953286 absolute error = 4e-31 relative error = 1.4744739053617981059525551538334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.303 y[1] (analytic) = 2.713626267994905118298347431367 y[1] (numeric) = 2.713626267994905118298347431368 absolute error = 1.0e-30 relative error = 3.6851058371383568793999783337698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.304 y[1] (analytic) = 2.714420619355098015735274513232 y[1] (numeric) = 2.7144206193550980157352745132326 absolute error = 6e-31 relative error = 2.2104164539633883112825702587847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.305 y[1] (analytic) = 2.715215058395931347753519268387 y[1] (numeric) = 2.715215058395931347753519268386 absolute error = 1.0e-30 relative error = 3.6829495214672622930987325111427e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.306 y[1] (analytic) = 2.716009585112884760979545193601 y[1] (numeric) = 2.7160095851128847609795451935998 absolute error = 1.2e-30 relative error = 4.4182465576612636635410511301061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=134.83 x[1] = 3.307 y[1] (analytic) = 2.716804199501439593117087862444 y[1] (numeric) = 2.7168041995014395931170878624427 absolute error = 1.3e-30 relative error = 4.7850338284907055180792288807970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.308 y[1] (analytic) = 2.717598901557078872129204229775 y[1] (numeric) = 2.7175989015570788721292042297743 absolute error = 7e-31 relative error = 2.5758032195219357897591183048371e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.309 y[1] (analytic) = 2.71839369127528731542086926496 y[1] (numeric) = 2.7183936912752873154208692649588 absolute error = 1.2e-30 relative error = 4.4143716337019631067441841415673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (analytic) = 2.719188568651551329022119446004 y[1] (numeric) = 2.7191885686515513290221194460036 absolute error = 4e-31 relative error = 1.4710270726033555300743548546052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.311 y[1] (analytic) = 2.719983533681359006771742647311 y[1] (numeric) = 2.7199835336813590067717426473117 absolute error = 7e-31 relative error = 2.5735449914749509407144762035738e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.6MB, time=135.20 x[1] = 3.312 y[1] (analytic) = 2.720778586360200129501513954228 y[1] (numeric) = 2.7207785863602001295015139542266 absolute error = 1.4e-30 relative error = 5.1455859253614984469462524443467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.313 y[1] (analytic) = 2.721573726683566164220976938032 y[1] (numeric) = 2.7215737266835661642209769380318 absolute error = 2e-31 relative error = 7.3486894012500047826873335061291e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.314 y[1] (analytic) = 2.722368954646950263302769925554 y[1] (numeric) = 2.7223689546469502633027699255542 absolute error = 2e-31 relative error = 7.3465427843132655013826859846000e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.315 y[1] (analytic) = 2.723164270245847263668496798004 y[1] (numeric) = 2.7231642702458472636684967980039 absolute error = 1e-31 relative error = 3.6721985923740105566299692349014e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.316 y[1] (analytic) = 2.723959673475753685975141854168 y[1] (numeric) = 2.7239596734757536859751418541685 absolute error = 5e-31 relative error = 1.8355631504705921780081623966054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.317 y[1] (analytic) = 2.724755164332167733802028273563 y[1] (numeric) = 2.7247551643321677338020282735619 absolute error = 1.1e-30 relative error = 4.0370599692747362525167875844425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=135.56 x[1] = 3.318 y[1] (analytic) = 2.725550742810589292838319715613 y[1] (numeric) = 2.7255507428105892928383197156129 absolute error = 1e-31 relative error = 3.6689832417825378606023570519059e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.319 y[1] (analytic) = 2.726346408906519930071064591458 y[1] (numeric) = 2.7263464089065199300710645914581 absolute error = 1e-31 relative error = 3.6679124733862375133362445426349e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (analytic) = 2.727142162615462892973782545389 y[1] (numeric) = 2.727142162615462892973782545389 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.321 y[1] (analytic) = 2.727938003932923108695592683481 y[1] (numeric) = 2.7279380039329231086955926834808 absolute error = 2e-31 relative error = 7.3315449145712247063691240194140e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.322 y[1] (analytic) = 2.728733932854407183250883087414 y[1] (numeric) = 2.728733932854407183250883087414 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.323 y[1] (analytic) = 2.729529949375423400709521151978 y[1] (numeric) = 2.7295299493754234007095211519782 absolute error = 2e-31 relative error = 7.3272689330910037137774415319675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2163.0MB, alloc=4.6MB, time=135.93 x[1] = 3.324 y[1] (analytic) = 2.730326053491481722387604285226 y[1] (numeric) = 2.7303260534914817223876042852269 absolute error = 9e-31 relative error = 3.2963096068658156253160077011807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.325 y[1] (analytic) = 2.731122245198093786038750510732 y[1] (numeric) = 2.7311222451980937860387505107323 absolute error = 3e-31 relative error = 1.0984495495485973642155143722154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.326 y[1] (analytic) = 2.731918524490772905045928511864 y[1] (numeric) = 2.7319185244907729050459285118656 absolute error = 1.6e-30 relative error = 5.8566900354330242161193357444153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.327 y[1] (analytic) = 2.732714891365034067613826658508 y[1] (numeric) = 2.7327148913650340676138266585072 absolute error = 8e-31 relative error = 2.9274916403752146197121745731165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.328 y[1] (analytic) = 2.733511345816393935961760557068 y[1] (numeric) = 2.7335113458163939359617605570679 absolute error = 1e-31 relative error = 3.6582983331329058101609156134172e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2166.8MB, alloc=4.6MB, time=136.29 x[1] = 3.329 y[1] (analytic) = 2.734307887840370845517118665179 y[1] (numeric) = 2.7343078878403708455171186651785 absolute error = 5e-31 relative error = 1.8286163099025154388258653359716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (analytic) = 2.735104517432484804109345512882 y[1] (numeric) = 2.735104517432484804109345512881 absolute error = 1.0e-30 relative error = 3.6561674101534026144964435959398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.331 y[1] (analytic) = 2.735901234588257491164462072632 y[1] (numeric) = 2.7359012345882574911644620726308 absolute error = 1.2e-30 relative error = 4.3861232446155730430816834166904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.332 y[1] (analytic) = 2.736698039303212256900122820893 y[1] (numeric) = 2.7366980393032122569001228208931 absolute error = 1e-31 relative error = 3.6540385005523259117034024269626e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.333 y[1] (analytic) = 2.737494931572874121521209034591 y[1] (numeric) = 2.7374949315728741215212090345909 absolute error = 1e-31 relative error = 3.6529747999402981435310965986532e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.334 y[1] (analytic) = 2.738291911392769774415957866137 y[1] (numeric) = 2.7382919113927697744159578661363 absolute error = 7e-31 relative error = 2.5563381211755504662902849582353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2170.6MB, alloc=4.6MB, time=136.66 x[1] = 3.335 y[1] (analytic) = 2.739088978758427573352626741249 y[1] (numeric) = 2.7390889787584275733526267412492 absolute error = 2e-31 relative error = 7.3016978108778294123535190008150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.336 y[1] (analytic) = 2.739886133665377543676692624241 y[1] (numeric) = 2.7398861336653775436766926242403 absolute error = 7e-31 relative error = 2.5548506976220605290225573032906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.337 y[1] (analytic) = 2.740683376109151377508585695906 y[1] (numeric) = 2.7406833761091513775085856959061 absolute error = 1e-31 relative error = 3.6487250176985554270637368042799e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.338 y[1] (analytic) = 2.741480706085282432941956989658 y[1] (numeric) = 2.7414807060852824329419569896571 absolute error = 9e-31 relative error = 3.2828974429849686197147040377227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.339 y[1] (analytic) = 2.742278123589305733242479531969 y[1] (numeric) = 2.7422781235893057332424795319685 absolute error = 5e-31 relative error = 1.8233015670400394078165891511995e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (analytic) = 2.743075628616757966047182533715 y[1] (numeric) = 2.7430756286167579660471825337143 absolute error = 7e-31 relative error = 2.5518800600951231391055798915194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.6MB, time=137.02 x[1] = 3.341 y[1] (analytic) = 2.743873221163177482564318179416 y[1] (numeric) = 2.7438732211631774825643181794155 absolute error = 5e-31 relative error = 1.8222416259743989093181166742718e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.342 y[1] (analytic) = 2.744670901224104296773760561901 y[1] (numeric) = 2.7446709012241042967737605619009 absolute error = 1e-31 relative error = 3.6434240606187317220537107864461e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.343 y[1] (analytic) = 2.745468668795080084627936310349 y[1] (numeric) = 2.7454686687950800846279363103484 absolute error = 6e-31 relative error = 2.1854192212046823841797572706679e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.344 y[1] (analytic) = 2.746266523871648183253286460142 y[1] (numeric) = 2.7462665238716481832532864601415 absolute error = 5e-31 relative error = 1.8206535878939637089909094864525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.345 y[1] (analytic) = 2.747064466449353590152259113444 y[1] (numeric) = 2.7470644664493535901522591134449 absolute error = 9e-31 relative error = 3.2762245334681624263495427631902e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.6MB, time=137.38 x[1] = 3.346 y[1] (analytic) = 2.747862496523742962405832439867 y[1] (numeric) = 2.747862496523742962405832439867 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.347 y[1] (analytic) = 2.748660614090364615876567567045 y[1] (numeric) = 2.7486606140903646158765675670456 absolute error = 6e-31 relative error = 2.1828813529187291527288486541207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.348 y[1] (analytic) = 2.749458819144768524412190911459 y[1] (numeric) = 2.7494588191447685244121909114577 absolute error = 1.3e-30 relative error = 4.7282032047469284168710420648886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.349 y[1] (analytic) = 2.75025711168250631904970550022 y[1] (numeric) = 2.750257111682506319049705500219 absolute error = 1.0e-30 relative error = 3.6360236857572807701964179006431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.35 y[1] (analytic) = 2.751055491699131287220030835104 y[1] (numeric) = 2.7510554916991312872200308351034 absolute error = 6e-31 relative error = 2.1809810882056133285027459094738e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.351 y[1] (analytic) = 2.751853959190198371953170850478 y[1] (numeric) = 2.7518539591901983719531708504772 absolute error = 8e-31 relative error = 2.9071310173575488107666795508800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.6MB, time=137.75 x[1] = 3.352 y[1] (analytic) = 2.752652514151264171083909517305 y[1] (numeric) = 2.7526525141512641710839095173049 absolute error = 1e-31 relative error = 3.6328595594941405343213117820524e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.353 y[1] (analytic) = 2.753451156577886936458033645846 y[1] (numeric) = 2.7534511565778869364580336458469 absolute error = 9e-31 relative error = 3.2686252590678257023739075342283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.354 y[1] (analytic) = 2.754249886465626573139082440132 y[1] (numeric) = 2.7542498864656265731390824401316 absolute error = 4e-31 relative error = 1.4523010492461067997928353126507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.355 y[1] (analytic) = 2.755048703810044638615623357746 y[1] (numeric) = 2.7550487038100446386156233577457 absolute error = 3e-31 relative error = 1.0889099694866389871156648166690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.356 y[1] (analytic) = 2.755847608606704342009053828948 y[1] (numeric) = 2.7558476086067043420090538289475 absolute error = 5e-31 relative error = 1.8143238343022492163573619062095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.357 y[1] (analytic) = 2.756646600851170543281928389569 y[1] (numeric) = 2.756646600851170543281928389569 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.6MB, time=138.12 x[1] = 3.358 y[1] (analytic) = 2.757445680539009752446810782632 y[1] (numeric) = 2.7574456805390097524468107826311 absolute error = 9e-31 relative error = 3.2638902240281778962670285659800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.359 y[1] (analytic) = 2.758244847665790128775650584058 y[1] (numeric) = 2.758244847665790128775650584058 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (analytic) = 2.759044102227081480009683908334 y[1] (numeric) = 2.759044102227081480009683908333 absolute error = 1.0e-30 relative error = 3.6244436948028734198074795453470e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.361 y[1] (analytic) = 2.759843444218455261569857750397 y[1] (numeric) = 2.7598434442184552615698577503976 absolute error = 6e-31 relative error = 2.1740363615803238721567818416268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.362 y[1] (analytic) = 2.760642873635484575767777520554 y[1] (numeric) = 2.7606428736354845757677775205539 absolute error = 1e-31 relative error = 3.6223446703307269233626105762820e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2189.7MB, alloc=4.6MB, time=138.48 x[1] = 3.363 y[1] (analytic) = 2.761442390473744171017177329587 y[1] (numeric) = 2.7614423904737441710171773295856 absolute error = 1.4e-30 relative error = 5.0698142565987788171081651206369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.364 y[1] (analytic) = 2.762241994728810441045912581772 y[1] (numeric) = 2.7622419947288104410459125817713 absolute error = 7e-31 relative error = 2.5341733321548611631546376798189e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.365 y[1] (analytic) = 2.76304168639626142410847443392 y[1] (numeric) = 2.7630416863962614241084744339192 absolute error = 8e-31 relative error = 2.8953598635111872058735703040279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.366 y[1] (analytic) = 2.763841465471676802199025679007 y[1] (numeric) = 2.7638414654716768021990256790069 absolute error = 1e-31 relative error = 3.6181525333231808153706161926486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.367 y[1] (analytic) = 2.764641331950637900264957613467 y[1] (numeric) = 2.7646413319506379002649576134659 absolute error = 1.1e-30 relative error = 3.9788163017293712105702461236673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.368 y[1] (analytic) = 2.765441285828727685420967447606 y[1] (numeric) = 2.7654412858287276854209674476051 absolute error = 9e-31 relative error = 3.2544534740693090886304299088015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2193.5MB, alloc=4.6MB, time=138.85 x[1] = 3.369 y[1] (analytic) = 2.766241327101530766163655819121 y[1] (numeric) = 2.7662413271015307661636558191193 absolute error = 1.7e-30 relative error = 6.1455231087204563082919916816299e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (analytic) = 2.767041455764633391586643970085 y[1] (numeric) = 2.7670414557646333915866439700848 absolute error = 2e-31 relative error = 7.2279365234422475907240709750800e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.371 y[1] (analytic) = 2.767841671813623450596210148295 y[1] (numeric) = 2.7678416718136234505962101482946 absolute error = 4e-31 relative error = 1.4451693681521193890530625855909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.372 y[1] (analytic) = 2.76864197524409047112744479424 y[1] (numeric) = 2.7686419752440904711274447942387 absolute error = 1.3e-30 relative error = 4.6954427897286673035083078574945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.373 y[1] (analytic) = 2.769442366051625619360924075487 y[1] (numeric) = 2.7694423660516256193609240754867 absolute error = 3e-31 relative error = 1.0832505621978617910705660725339e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.374 y[1] (analytic) = 2.770242844231821698939901330681 y[1] (numeric) = 2.7702428442318216989399013306811 absolute error = 1e-31 relative error = 3.6097918349728519049636103087850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.6MB, time=139.21 x[1] = 3.375 y[1] (analytic) = 2.771043409780273150188015985799 y[1] (numeric) = 2.771043409780273150188015985799 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.376 y[1] (analytic) = 2.771844062692576049327519505793 y[1] (numeric) = 2.7718440626925760493275195057916 absolute error = 1.4e-30 relative error = 5.0507891798214528793550420381970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.377 y[1] (analytic) = 2.772644802964328107698017945159 y[1] (numeric) = 2.7726448029643281076980179451588 absolute error = 2e-31 relative error = 7.2133293015453422671910336605723e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.378 y[1] (analytic) = 2.773445630591128670975730661466 y[1] (numeric) = 2.7734456305911286709757306614661 absolute error = 1e-31 relative error = 3.6056232325955539753907389159370e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.379 y[1] (analytic) = 2.774246545568578718393264756258 y[1] (numeric) = 2.7742465455685787183932647562583 absolute error = 3e-31 relative error = 1.0813746906496204591245244420130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.6MB, time=139.58 x[1] = 3.38 y[1] (analytic) = 2.775047547892280861959904808274 y[1] (numeric) = 2.7750475478922808619599048082733 absolute error = 7e-31 relative error = 2.5224793014147371632972023436270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.381 y[1] (analytic) = 2.775848637557839345682417464305 y[1] (numeric) = 2.7758486375578393456824174643059 absolute error = 9e-31 relative error = 3.2422517129457388443016361161795e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.382 y[1] (analytic) = 2.776649814560860044786370453517 y[1] (numeric) = 2.7766498145608600447863704535181 absolute error = 1.1e-30 relative error = 3.9616086775925327325627884399426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.383 y[1] (analytic) = 2.77745107889695046493796559144 y[1] (numeric) = 2.7774510788969504649379655914389 absolute error = 1.1e-30 relative error = 3.9604657967076021211820624412423e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.384 y[1] (analytic) = 2.778252430561719741466385340342 y[1] (numeric) = 2.7782524305617197414663853403421 absolute error = 1e-31 relative error = 3.5993849550878119500430266021092e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.385 y[1] (analytic) = 2.779053869550778638586652493135 y[1] (numeric) = 2.7790538695507786385866524931352 absolute error = 2e-31 relative error = 7.1966938889287916633511354350808e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.6MB, time=139.94 x[1] = 3.386 y[1] (analytic) = 2.779855395859739548623002548339 y[1] (numeric) = 2.7798553958597395486230025483382 absolute error = 8e-31 relative error = 2.8778475354923275276446550650783e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.387 y[1] (analytic) = 2.780657009484216491232768344174 y[1] (numeric) = 2.7806570094842164912327683441732 absolute error = 8e-31 relative error = 2.8770179035795279149133153516630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.388 y[1] (analytic) = 2.781458710419825112630776520231 y[1] (numeric) = 2.781458710419825112630776520231 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.389 y[1] (analytic) = 2.782260498662182684814255375623 y[1] (numeric) = 2.7822604986621826848142553756228 absolute error = 2e-31 relative error = 7.1883995081038476916212614981517e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (analytic) = 2.783062374206908104788253692967 y[1] (numeric) = 2.7830623742069081047882536929674 absolute error = 4e-31 relative error = 1.4372656671555497393001009902819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.391 y[1] (analytic) = 2.783864337049621893791570098007 y[1] (numeric) = 2.7838643370496218937915700980071 absolute error = 1e-31 relative error = 3.5921290656706852856305969212008e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.6MB, time=140.30 x[1] = 3.392 y[1] (analytic) = 2.784666387185946196523192525084 y[1] (numeric) = 2.7846663871859461965231925250848 absolute error = 8e-31 relative error = 2.8728755576657878899328277363434e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.393 y[1] (analytic) = 2.785468524611504780369247359158 y[1] (numeric) = 2.7854685246115047803692473591585 absolute error = 5e-31 relative error = 1.7950301559043323365723106655363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.394 y[1] (analytic) = 2.786270749321923034630457825467 y[1] (numeric) = 2.7862707493219230346304578254667 absolute error = 3e-31 relative error = 1.0767079978606138300732046710821e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.395 y[1] (analytic) = 2.787073061312827969750111198399 y[1] (numeric) = 2.7870730613128279697501111983996 absolute error = 6e-31 relative error = 2.1527960939688280273029275714968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.396 y[1] (analytic) = 2.787875460579848216542534401571 y[1] (numeric) = 2.7878754605798482165425344015699 absolute error = 1.1e-30 relative error = 3.9456568830058563280657733881673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2212.6MB, alloc=4.6MB, time=140.66 x[1] = 3.397 y[1] (analytic) = 2.788677947118614025422077571515 y[1] (numeric) = 2.7886779471186140254220775715154 absolute error = 4e-31 relative error = 1.4343714390300887009044730934799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.398 y[1] (analytic) = 2.789480520924757265632605157903 y[1] (numeric) = 2.7894805209247572656326051579034 absolute error = 4e-31 relative error = 1.4339587496649506007770546878768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.399 y[1] (analytic) = 2.790283181993911424477494133546 y[1] (numeric) = 2.7902831819939114244774941335454 absolute error = 6e-31 relative error = 2.1503193793084663268197369423145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (analytic) = 2.791085930321711606550138887966 y[1] (numeric) = 2.7910859303217116065501388879664 absolute error = 4e-31 relative error = 1.4331339485269606783542660147045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.401 y[1] (analytic) = 2.791888765903794532964962378712 y[1] (numeric) = 2.7918887659037945329649623787113 absolute error = 7e-31 relative error = 2.5072632138816423134213266218812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.402 y[1] (analytic) = 2.792691688735798540588933115006 y[1] (numeric) = 2.7926916887357985405889331150048 absolute error = 1.2e-30 relative error = 4.2969297500334470723401316867298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2216.4MB, alloc=4.6MB, time=141.03 x[1] = 3.403 y[1] (analytic) = 2.793494698813363581273587548817 y[1] (numeric) = 2.7934946988133635812735875488183 absolute error = 1.3e-30 relative error = 4.6536691140034070053466432983454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.404 y[1] (analytic) = 2.794297796132131221087557448833 y[1] (numeric) = 2.794297796132131221087557448832 absolute error = 1.0e-30 relative error = 3.5787166327948317937199800640513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.405 y[1] (analytic) = 2.795100980687744639549601833213 y[1] (numeric) = 2.7951009806877446395496018332135 absolute error = 5e-31 relative error = 1.7888441364181883812257309794983e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.406 y[1] (analytic) = 2.79590425247584862886214303757 y[1] (numeric) = 2.79590425247584862886214303757 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.407 y[1] (analytic) = 2.796707611492089593145306494864 y[1] (numeric) = 2.7967076114920895931453064948633 absolute error = 7e-31 relative error = 2.5029430932414792758187067860493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.408 y[1] (analytic) = 2.797511057732115547671463804509 y[1] (numeric) = 2.7975110577321155476714638045099 absolute error = 9e-31 relative error = 3.2171454604708923548210265520768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2220.2MB, alloc=4.6MB, time=141.39 x[1] = 3.409 y[1] (analytic) = 2.798314591191576118100278668321 y[1] (numeric) = 2.7983145911915761181002786683211 absolute error = 1e-31 relative error = 3.5735796223475387968730348748600e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (analytic) = 2.799118211866122539714255271369 y[1] (numeric) = 2.7991182118661225397142552713693 absolute error = 3e-31 relative error = 1.0717660966522571870002074095705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.411 y[1] (analytic) = 2.799921919751407656654788686299 y[1] (numeric) = 2.7999219197514076566547886862984 absolute error = 6e-31 relative error = 2.1429168998158036970256892262228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.412 y[1] (analytic) = 2.800725714843085921158716880026 y[1] (numeric) = 2.8007257148430859211587168800269 absolute error = 9e-31 relative error = 3.2134528391346726332866633834154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.413 y[1] (analytic) = 2.801529597136813392795373902222 y[1] (numeric) = 2.8015295971368133927953739022225 absolute error = 5e-31 relative error = 1.7847393099505504741417125096184e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.6MB, time=141.76 x[1] = 3.414 y[1] (analytic) = 2.802333566628247737704143835355 y[1] (numeric) = 2.8023335666282477377041438353562 absolute error = 1.2e-30 relative error = 4.2821454743656136876925112462586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.415 y[1] (analytic) = 2.803137623313048227832515086575 y[1] (numeric) = 2.8031376233130482278325150865743 absolute error = 7e-31 relative error = 2.4972016863469765635366062088882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.416 y[1] (analytic) = 2.803941767186875740174634602054 y[1] (numeric) = 2.8039417671868757401746346020541 absolute error = 1e-31 relative error = 3.5664078751652351589525185875071e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.417 y[1] (analytic) = 2.804745998245392756010361584938 y[1] (numeric) = 2.8047459982453927560103615849377 absolute error = 3e-31 relative error = 1.0696155737014172527211518233998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.418 y[1] (analytic) = 2.805550316484263360144820298367 y[1] (numeric) = 2.8055503164842633601448202983666 absolute error = 4e-31 relative error = 1.4257452366823150645549676905842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.419 y[1] (analytic) = 2.806354721899153240148451535566 y[1] (numeric) = 2.8063547218991532401484515355661 absolute error = 1e-31 relative error = 3.5633414129603219260255321958180e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.6MB, time=142.12 x[1] = 3.42 y[1] (analytic) = 2.807159214485729685597562339356 y[1] (numeric) = 2.8071592144857296855975623393554 absolute error = 6e-31 relative error = 2.1373921254762877140084072392356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.421 y[1] (analytic) = 2.807963794239661587315373553885 y[1] (numeric) = 2.8079637942396615873153735538854 absolute error = 4e-31 relative error = 1.4245197919594675961469424441099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.422 y[1] (analytic) = 2.808768461156619436613564791833 y[1] (numeric) = 2.8087684611566194366135647918316 absolute error = 1.4e-30 relative error = 4.9843909149545764224664738219396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.423 y[1] (analytic) = 2.809573215232275324534316400696 y[1] (numeric) = 2.8095732152322753245343164006956 absolute error = 4e-31 relative error = 1.4237037776106890821902802662720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.424 y[1] (analytic) = 2.810378056462302941092848012291 y[1] (numeric) = 2.8103780564623029410928480122915 absolute error = 5e-31 relative error = 1.7791200683846741364637442448809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.425 y[1] (analytic) = 2.811182984842377574520453259919 y[1] (numeric) = 2.8111829848423775745204532599188 absolute error = 2e-31 relative error = 7.1144426057777223276192073862279e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.6MB, time=142.49 x[1] = 3.426 y[1] (analytic) = 2.811988000368176110508030248148 y[1] (numeric) = 2.8119880003681761105080302481474 absolute error = 6e-31 relative error = 2.1337217652473675632914848231677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.427 y[1] (analytic) = 2.812793103035377031450107360561 y[1] (numeric) = 2.8127931030353770314501073605612 absolute error = 2e-31 relative error = 7.1103701080670831739681663769072e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.428 y[1] (analytic) = 2.813598292839660415689363991233 y[1] (numeric) = 2.8135982928396604156893639912323 absolute error = 7e-31 relative error = 2.4879173469127888873094425669877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.429 y[1] (analytic) = 2.814403569776707936761645786118 y[1] (numeric) = 2.814403569776707936761645786117 absolute error = 1.0e-30 relative error = 3.5531506950132920523854758454250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.43 y[1] (analytic) = 2.815208933842202862641473980988 y[1] (numeric) = 2.8152089338422028626414739809882 absolute error = 2e-31 relative error = 7.1042684468551893363450979354954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.6MB, time=142.85 x[1] = 3.431 y[1] (analytic) = 2.816014385031830054988048422939 y[1] (numeric) = 2.8160143850318300549880484229394 absolute error = 4e-31 relative error = 1.4204472893538812958415486322630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.432 y[1] (analytic) = 2.816819923341275968391743862914 y[1] (numeric) = 2.8168199233412759683917438629149 absolute error = 9e-31 relative error = 3.1950924251218425291276306497296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.433 y[1] (analytic) = 2.817625548766228649621099107143 y[1] (numeric) = 2.8176255487662286496210991071427 absolute error = 3e-31 relative error = 1.0647262910125260589883715687563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.434 y[1] (analytic) = 2.818431261302377736870298615765 y[1] (numeric) = 2.8184312613023777368702986157645 absolute error = 5e-31 relative error = 1.7740365247331007554155692632043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.435 y[1] (analytic) = 2.819237060945414459007146137377 y[1] (numeric) = 2.819237060945414459007146137377 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.436 y[1] (analytic) = 2.820042947691031634821529968617 y[1] (numeric) = 2.8200429476910316348215299686168 absolute error = 2e-31 relative error = 7.0920905713068706177429200467846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2239.3MB, alloc=4.6MB, time=143.21 x[1] = 3.437 y[1] (analytic) = 2.820848921534923672274379428339 y[1] (numeric) = 2.8208489215349236722743794283393 absolute error = 3e-31 relative error = 1.0635096325426722567327092576065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.438 y[1] (analytic) = 2.82165498247278656774711213636 y[1] (numeric) = 2.82165498247278656774711213636 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.439 y[1] (analytic) = 2.822461130500317905291571687143 y[1] (numeric) = 2.8224611305003179052915716871426 absolute error = 4e-31 relative error = 1.4172028648241997335488343698425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (analytic) = 2.823267365613216855880455309234 y[1] (numeric) = 2.8232673656132168558804553092353 absolute error = 1.3e-30 relative error = 4.6045940098827251306585825723522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.441 y[1] (analytic) = 2.824073687807184176658231101673 y[1] (numeric) = 2.8240736878071841766582311016731 absolute error = 1e-31 relative error = 3.5409840908806901369080937718399e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.442 y[1] (analytic) = 2.824880097077922210192544438978 y[1] (numeric) = 2.8248800970779222101925444389787 absolute error = 7e-31 relative error = 2.4779812804234962266483942460428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2243.1MB, alloc=4.6MB, time=143.58 x[1] = 3.443 y[1] (analytic) = 2.82568659342113488372611313681 y[1] (numeric) = 2.8256865934211348837261131368099 absolute error = 1e-31 relative error = 3.5389628925169406689926030196889e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.444 y[1] (analytic) = 2.826493176832527708429110970715 y[1] (numeric) = 2.8264931768325277084291109707153 absolute error = 3e-31 relative error = 1.0613858984658545767496482502611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.445 y[1] (analytic) = 2.827299847307807778652039140876 y[1] (numeric) = 2.8272998473078077786520391408759 absolute error = 1e-31 relative error = 3.5369435645540503784340892191742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.446 y[1] (analytic) = 2.828106604842683771179085276121 y[1] (numeric) = 2.8281066048426837711790852761212 absolute error = 2e-31 relative error = 7.0718692024385409593293606480486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.447 y[1] (analytic) = 2.828913449432865944481969570923 y[1] (numeric) = 2.8289134494328659444819695709231 absolute error = 1e-31 relative error = 3.5349261045808159940868715996408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.6MB, time=143.94 x[1] = 3.448 y[1] (analytic) = 2.829720381074066137974277649484 y[1] (numeric) = 2.8297203810740661379742776494831 absolute error = 9e-31 relative error = 3.1805262669041187863871364315772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.449 y[1] (analytic) = 2.830527399761997771266279751441 y[1] (numeric) = 2.8305273997619977712662797514395 absolute error = 1.5e-30 relative error = 5.2993657652850351715418884100522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (analytic) = 2.831334505492375843420235834134 y[1] (numeric) = 2.8313345054923758434202358341344 absolute error = 4e-31 relative error = 1.4127613647347509126221041824449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.451 y[1] (analytic) = 2.83214169826091693220618618679 y[1] (numeric) = 2.8321416982609169322061861867899 absolute error = 1e-31 relative error = 3.5308967789784398155110391819045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.452 y[1] (analytic) = 2.832948978063339193358227152352 y[1] (numeric) = 2.8329489780633391933582271523533 absolute error = 1.3e-30 relative error = 4.5888577947094059696995690460412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.453 y[1] (analytic) = 2.833756344895362359831271553184 y[1] (numeric) = 2.833756344895362359831271553183 absolute error = 1.0e-30 relative error = 3.5288849085468052791452600359544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.6MB, time=144.30 x[1] = 3.454 y[1] (analytic) = 2.834563798752707741058293417154 y[1] (numeric) = 2.8345637987527077410582934171542 absolute error = 2e-31 relative error = 7.0557593407495693011646365921762e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.455 y[1] (analytic) = 2.835371339631098222208056601173 y[1] (numeric) = 2.8353713396310982222080566011736 absolute error = 6e-31 relative error = 2.1161249378998950633468479344385e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.456 y[1] (analytic) = 2.836178967526258263443326909501 y[1] (numeric) = 2.8361789675262582634433269095012 absolute error = 2e-31 relative error = 7.0517411732462660689055209844964e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.457 y[1] (analytic) = 2.836986682433913899179567304684 y[1] (numeric) = 2.8369866824339138991795673046845 absolute error = 5e-31 relative error = 1.7624333702230808231486499062315e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.458 y[1] (analytic) = 2.837794484349792737344115809319 y[1] (numeric) = 2.8377944843497927373441158093182 absolute error = 8e-31 relative error = 2.8190906861364885759905564861305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.459 y[1] (analytic) = 2.83860237326962395863584569725 y[1] (numeric) = 2.8386023732696239586358456972506 absolute error = 6e-31 relative error = 2.1137162627990558132994109992760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2254.5MB, alloc=4.6MB, time=144.66 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (analytic) = 2.839410349189138315785307573264 y[1] (numeric) = 2.8394103491891383157853075732633 absolute error = 7e-31 relative error = 2.4653005867922605078557390900469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.461 y[1] (analytic) = 2.840218412104068132815352940656 y[1] (numeric) = 2.8402184121040681328153529406569 absolute error = 9e-31 relative error = 3.1687703880958546445724129458246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.462 y[1] (analytic) = 2.841026562010147304302238856582 y[1] (numeric) = 2.8410265620101473043022388565824 absolute error = 4e-31 relative error = 1.4079417818500892939908144185898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.463 y[1] (analytic) = 2.841834798903111294637213275363 y[1] (numeric) = 2.8418347989031112946372132753622 absolute error = 8e-31 relative error = 2.8150827075127070815421014890654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.464 y[1] (analytic) = 2.842643122778697137288580680449 y[1] (numeric) = 2.8426431227786971372885806804483 absolute error = 7e-31 relative error = 2.4624969430413293645489965615618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.6MB, time=145.03 x[1] = 3.465 y[1] (analytic) = 2.843451533632643434064247606072 y[1] (numeric) = 2.8434515336326434340642476060724 absolute error = 4e-31 relative error = 1.4067410513903893963116247119114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.466 y[1] (analytic) = 2.844260031460690354374747650042 y[1] (numeric) = 2.8442600314606903543747476500426 absolute error = 6e-31 relative error = 2.1095117653214908455310438111537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.467 y[1] (analytic) = 2.845068616258579634496745579548 y[1] (numeric) = 2.8450686162585796344967455795479 absolute error = 1e-31 relative error = 3.5148537166567691703915533535907e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.468 y[1] (analytic) = 2.845877288022054576837020132232 y[1] (numeric) = 2.8458772880220545768370201322326 absolute error = 6e-31 relative error = 2.1083129709257871731489186524332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.469 y[1] (analytic) = 2.846686046746860049196925115206 y[1] (numeric) = 2.8466860467468600491969251152054 absolute error = 6e-31 relative error = 2.1077139879393052771069800058372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (analytic) = 2.847494892428742484037328405049 y[1] (numeric) = 2.8474948924287424840373284050498 absolute error = 8e-31 relative error = 2.8094870411431991945815862441086e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.6MB, time=145.40 x[1] = 3.471 y[1] (analytic) = 2.848303825063449877744028452304 y[1] (numeric) = 2.8483038250634498777440284523039 absolute error = 1e-31 relative error = 3.5108614158383318789345905558079e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.472 y[1] (analytic) = 2.849112844646731789893647894279 y[1] (numeric) = 2.8491128446467317898936478942787 absolute error = 3e-31 relative error = 1.0529593468495899690404534438063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.473 y[1] (analytic) = 2.849921951174339342520003880483 y[1] (numeric) = 2.8499219511743393425200038804833 absolute error = 3e-31 relative error = 1.0526604066345815085132087987766e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.474 y[1] (analytic) = 2.850731144642025219380954715327 y[1] (numeric) = 2.8507311446420252193809547153267 absolute error = 3e-31 relative error = 1.0523616040181575643922417520215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.475 y[1] (analytic) = 2.851540425045543665225722423165 y[1] (numeric) = 2.8515404250455436652257224231642 absolute error = 8e-31 relative error = 2.8055011704321979562690097751933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.476 y[1] (analytic) = 2.852349792380650485062690841156 y[1] (numeric) = 2.8523497923806504850626908411564 absolute error = 4e-31 relative error = 1.4023525483042136727735181215336e-29 % Correct digits = 30 h = 0.001 memory used=2266.0MB, alloc=4.6MB, time=145.76 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.477 y[1] (analytic) = 2.853159246643103043427678845806 y[1] (numeric) = 2.8531592466431030434276788458054 absolute error = 6e-31 relative error = 2.1029320417566338685270587750735e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.478 y[1] (analytic) = 2.853968787828660263652688319434 y[1] (numeric) = 2.8539687878286602636526883194334 absolute error = 6e-31 relative error = 2.1023355355490361502771123357527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.479 y[1] (analytic) = 2.854778415933082627135126463265 y[1] (numeric) = 2.8547784159330826271351264632643 absolute error = 7e-31 relative error = 2.4520291876005564389212543977311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (analytic) = 2.855588130952132172607502064166 y[1] (numeric) = 2.8555881309521321726075020641663 absolute error = 3e-31 relative error = 1.0505716729533109911586114806841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.481 y[1] (analytic) = 2.85639793288157249540759532251 y[1] (numeric) = 2.8563979328815724954075953225108 absolute error = 8e-31 relative error = 2.8007302161605658501701632331017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2269.8MB, alloc=4.6MB, time=146.12 x[1] = 3.482 y[1] (analytic) = 2.857207821717168746749100848998 y[1] (numeric) = 2.8572078217171687467491008489987 absolute error = 7e-31 relative error = 2.4499442941441453239545548633148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.483 y[1] (analytic) = 2.858017797454687632992743438701 y[1] (numeric) = 2.8580177974546876329927434387006 absolute error = 4e-31 relative error = 1.3995714104937857348682791560434e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.484 y[1] (analytic) = 2.858827860089897414917866230953 y[1] (numeric) = 2.8588278600898974149178662309519 absolute error = 1.1e-30 relative error = 3.8477307967937946946089913232946e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.485 y[1] (analytic) = 2.859638009618567906994490864141 y[1] (numeric) = 2.8596380096185679069944908641401 absolute error = 9e-31 relative error = 3.1472514946744824967648282338013e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.486 y[1] (analytic) = 2.860448246036470476655849234814 y[1] (numeric) = 2.8604482460364704766558492348149 absolute error = 9e-31 relative error = 3.1463600197873500523901623890397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.487 y[1] (analytic) = 2.861258569339378043571386470944 y[1] (numeric) = 2.8612585693393780435713864709443 absolute error = 3e-31 relative error = 1.0484896514237981940998588595266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.6MB, time=146.49 x[1] = 3.488 y[1] (analytic) = 2.862068979523065078920234729535 y[1] (numeric) = 2.8620689795230650789202347295355 absolute error = 5e-31 relative error = 1.7469879432581668792780582349788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.489 y[1] (analytic) = 2.86287947658330760466515742923 y[1] (numeric) = 2.8628794765833076046651574292308 absolute error = 8e-31 relative error = 2.7943893780493927524975032043280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (analytic) = 2.863690060515883192826963528881 y[1] (numeric) = 2.8636900605158831928269635288801 absolute error = 9e-31 relative error = 3.1427982113325082478817262690474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.491 y[1] (analytic) = 2.864500731316570964759391463487 y[1] (numeric) = 2.8645007313165709647593914634864 absolute error = 6e-31 relative error = 2.0946058537895023508287554292756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.492 y[1] (analytic) = 2.865311488981151590424462349308 y[1] (numeric) = 2.8653114889811515904244623493085 absolute error = 5e-31 relative error = 1.7450109767220811508786948443487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.6MB, time=146.85 x[1] = 3.493 y[1] (analytic) = 2.8661223335054072876683020703 y[1] (numeric) = 2.8661223335054072876683020702991 absolute error = 9e-31 relative error = 3.1401311433181435092403687595930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.494 y[1] (analytic) = 2.866933264885121821497431858445 y[1] (numeric) = 2.8669332648851218214974318584449 absolute error = 1e-31 relative error = 3.4880477067542416502959608403010e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.495 y[1] (analytic) = 2.867744283116080503355526980967 y[1] (numeric) = 2.8677442831160805033555269809664 absolute error = 6e-31 relative error = 2.0922367574142356346423304613519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.496 y[1] (analytic) = 2.868555388194070190400643147725 y[1] (numeric) = 2.8685553881940701904006431477246 absolute error = 4e-31 relative error = 1.3944301080824668683106655953521e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.497 y[1] (analytic) = 2.869366580114879284782910252569 y[1] (numeric) = 2.8693665801148792847829102525698 absolute error = 8e-31 relative error = 2.7880717840101519226342634525968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.498 y[1] (analytic) = 2.870177858874297732922693062759 y[1] (numeric) = 2.8701778588742977329226930627579 absolute error = 1.1e-30 relative error = 3.8325151056367882870587528879091e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.6MB, time=147.22 x[1] = 3.499 y[1] (analytic) = 2.870989224468117024789218470947 y[1] (numeric) = 2.8709892244681170247892184709466 absolute error = 4e-31 relative error = 1.3932480017374655567962291093116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (analytic) = 2.871800676892130193179668924671 y[1] (numeric) = 2.8718006768921301931796689246723 absolute error = 1.3e-30 relative error = 4.5267765637790127568291691085529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.501 y[1] (analytic) = 2.872612216142131812998741648595 y[1] (numeric) = 2.8726122161421318129987416485948 absolute error = 2e-31 relative error = 6.9623041660874267779084393968130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.502 y[1] (analytic) = 2.873423842213918000538673275184 y[1] (numeric) = 2.8734238422139180005386732751849 absolute error = 9e-31 relative error = 3.1321519184812194247169220679144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.503 y[1] (analytic) = 2.874235555103286412759729499916 y[1] (numeric) = 2.8742355551032864127597294999154 absolute error = 6e-31 relative error = 2.0875115782862091891019058166010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.504 y[1] (analytic) = 2.875047354806036246571159377402 y[1] (numeric) = 2.8750473548060362465711593774024 absolute error = 4e-31 relative error = 1.3912814317000556564983584281945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.6MB, time=147.59 x[1] = 3.505 y[1] (analytic) = 2.875859241317968238112613875328 y[1] (numeric) = 2.8758592413179682381126138753287 absolute error = 7e-31 relative error = 2.4340551510413954130498542199446e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.506 y[1] (analytic) = 2.876671214634884662036028303366 y[1] (numeric) = 2.8766712146348846620360283033661 absolute error = 1e-31 relative error = 3.4762401588077310393732345114175e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.507 y[1] (analytic) = 2.877483274752589330787968234699 y[1] (numeric) = 2.8774832747525893307879682346992 absolute error = 2e-31 relative error = 6.9505182447045265172888913719758e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.508 y[1] (analytic) = 2.878295421666887593892438538135 y[1] (numeric) = 2.8782954216668875938924385381347 absolute error = 3e-31 relative error = 1.0422835604076493523512083604326e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.509 y[1] (analytic) = 2.879107655373586337234155139166 y[1] (numeric) = 2.8791076553735863372341551391664 absolute error = 4e-31 relative error = 1.3893193582165545212012470843138e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.6MB, time=147.95 x[1] = 3.51 y[1] (analytic) = 2.879919975868493982342279128747 y[1] (numeric) = 2.879919975868493982342279128748 absolute error = 1.0e-30 relative error = 3.4723187046141141822067830129708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.511 y[1] (analytic) = 2.880732383147420485674612838909 y[1] (numeric) = 2.8807323831474204856746128389082 absolute error = 8e-31 relative error = 2.7770715692998139773751632720917e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.512 y[1] (analytic) = 2.881544877206177337902257504725 y[1] (numeric) = 2.8815448772061773379022575047254 absolute error = 4e-31 relative error = 1.3881442665151996209933100722678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.513 y[1] (analytic) = 2.882357458040577563194732132561 y[1] (numeric) = 2.8823574580405775631947321325613 absolute error = 3e-31 relative error = 1.0408146954956085380578500971856e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.514 y[1] (analytic) = 2.883170125646435718505553194833 y[1] (numeric) = 2.883170125646435718505553194833 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.515 y[1] (analytic) = 2.883982880019567892858274771985 y[1] (numeric) = 2.8839828800195678928582747719851 absolute error = 1e-31 relative error = 3.4674269633431907753514151920467e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2292.7MB, alloc=4.6MB, time=148.31 x[1] = 3.516 y[1] (analytic) = 2.884795721155791706632988762703 y[1] (numeric) = 2.884795721155791706632988762703 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.517 y[1] (analytic) = 2.88560864905092631085328478379 y[1] (numeric) = 2.8856086490509263108532847837892 absolute error = 8e-31 relative error = 2.7723787155376012943637048708317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.518 y[1] (analytic) = 2.886421663700792386473669381504 y[1] (numeric) = 2.8864216637007923864736693815029 absolute error = 1.1e-30 relative error = 3.8109470069236094672053174269816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.519 y[1] (analytic) = 2.887234765101212143667444176544 y[1] (numeric) = 2.887234765101212143667444176544 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (analytic) = 2.88804795324800932111504256524 y[1] (numeric) = 2.888047953248009321115042565239 absolute error = 1.0e-30 relative error = 3.4625463849219044534840428323320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.521 y[1] (analytic) = 2.888861228137009185292824599866 y[1] (numeric) = 2.8888612281370091852928245998663 absolute error = 3e-31 relative error = 1.0384714816968424723317596478512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2296.5MB, alloc=4.6MB, time=148.68 x[1] = 3.522 y[1] (analytic) = 2.889674589764038529762329671435 y[1] (numeric) = 2.889674589764038529762329671435 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.523 y[1] (analytic) = 2.890488038124925674459986618608 y[1] (numeric) = 2.8904880381249256744599866186098 absolute error = 1.8e-30 relative error = 6.2273220862995481416655694712296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.524 y[1] (analytic) = 2.891301573215500464987280886849 y[1] (numeric) = 2.8913015732155004649872808868493 absolute error = 3e-31 relative error = 1.0375949806797956593492419157168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.525 y[1] (analytic) = 2.892115195031594271901378362203 y[1] (numeric) = 2.8921151950315942719013783622041 absolute error = 1.1e-30 relative error = 3.8034446272738568894673896574708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.526 y[1] (analytic) = 2.892928903569039990006205504594 y[1] (numeric) = 2.8929289035690399900062055045946 absolute error = 6e-31 relative error = 2.0740226255120650595214335264706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.6MB, time=149.04 x[1] = 3.527 y[1] (analytic) = 2.893742698823672037643985405766 y[1] (numeric) = 2.8937426988236720376439854057655 absolute error = 5e-31 relative error = 1.7278661306108995954082202593317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.528 y[1] (analytic) = 2.894556580791326355987229397488 y[1] (numeric) = 2.8945565807913263559872293974886 absolute error = 6e-31 relative error = 2.0728563538252529632854810308611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.529 y[1] (analytic) = 2.89537054946784040833118383596 y[1] (numeric) = 2.8953705494678404083311838359594 absolute error = 6e-31 relative error = 2.0722736166197381131912185567930e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (analytic) = 2.896184604849053179386731688709 y[1] (numeric) = 2.8961846048490531793867316887084 absolute error = 6e-31 relative error = 2.0716911449478253101972192226567e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.531 y[1] (analytic) = 2.896998746930805174573748550721 y[1] (numeric) = 2.8969987469308051745737485507206 absolute error = 4e-31 relative error = 1.3807392924272949346562739893034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.532 y[1] (analytic) = 2.89781297570893841931491271683 y[1] (numeric) = 2.897812975708938419314912716831 absolute error = 1.0e-30 relative error = 3.4508783292177576684486602872296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.6MB, time=149.40 x[1] = 3.533 y[1] (analytic) = 2.898627291179296458329968937835 y[1] (numeric) = 2.8986272911792964583299689378359 absolute error = 9e-31 relative error = 3.1049179821729965221635485152435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.534 y[1] (analytic) = 2.899441693337724354930445488132 y[1] (numeric) = 2.8994416933377243549304454881325 absolute error = 5e-31 relative error = 1.7244699251890093128072392110079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.535 y[1] (analytic) = 2.900256182180068690314824173071 y[1] (numeric) = 2.9002561821800686903148241730714 absolute error = 4e-31 relative error = 1.3791885091313810468979658208338e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.536 y[1] (analytic) = 2.901070757702177562864162904578 y[1] (numeric) = 2.901070757702177562864162904578 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.537 y[1] (analytic) = 2.90188541989990058743817047397 y[1] (numeric) = 2.90188541989990058743817047397 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.538 y[1] (analytic) = 2.902700168769088894671733151269 y[1] (numeric) = 2.9027001687690888946717331512689 absolute error = 1e-31 relative error = 3.4450681843039175095624087258207e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.6MB, time=149.77 x[1] = 3.539 y[1] (analytic) = 2.903515004305595130271892740673 y[1] (numeric) = 2.9035150043055951302718927406728 absolute error = 2e-31 relative error = 6.8882027371452146238686700403313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (analytic) = 2.904329926505273454315275722229 y[1] (numeric) = 2.9043299265052734543152757222291 absolute error = 1e-31 relative error = 3.4431349925980397340767500525388e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.541 y[1] (analytic) = 2.905144935363979540545973110114 y[1] (numeric) = 2.9051449353639795405459731101137 absolute error = 3e-31 relative error = 1.0326507168304621148079066898380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.542 y[1] (analytic) = 2.905960030877570575673870658292 y[1] (numeric) = 2.905960030877570575673870658293 absolute error = 1.0e-30 relative error = 3.4412035588046615396457537485415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.543 y[1] (analytic) = 2.906775213041905258673429044712 y[1] (numeric) = 2.9067752130419052586734290447129 absolute error = 9e-31 relative error = 3.0962146503862637431149386039421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.6MB, time=150.14 x[1] = 3.544 y[1] (analytic) = 2.907590481852843800082913665526 y[1] (numeric) = 2.9075904818528438000829136655274 absolute error = 1.4e-30 relative error = 4.8149834329759491435357049161922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.545 y[1] (analytic) = 2.908405837306247921304073671248 y[1] (numeric) = 2.9084058373062479213040736712474 absolute error = 6e-31 relative error = 2.0629858195983997679854090267492e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.546 y[1] (analytic) = 2.909221279397980853902269877056 y[1] (numeric) = 2.9092212793979808539022698770562 absolute error = 2e-31 relative error = 6.8746919121046358338923618808168e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.547 y[1] (analytic) = 2.910036808123907338907051179906 y[1] (numeric) = 2.9100368081239073389070511799061 absolute error = 1e-31 relative error = 3.4363826505847437275094718745189e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.548 y[1] (analytic) = 2.910852423479893626113179115378 y[1] (numeric) = 2.9108524234798936261131791153769 absolute error = 1.1e-30 relative error = 3.7789617609159364578377344356749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.549 y[1] (analytic) = 2.911668125461807473382100187642 y[1] (numeric) = 2.9116681254618074733821001876421 absolute error = 1e-31 relative error = 3.4344573519737734285381213671303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2315.6MB, alloc=4.6MB, time=150.50 x[1] = 3.55 y[1] (analytic) = 2.912483914065518145943865606254 y[1] (numeric) = 2.9124839140655181459438656062541 absolute error = 1e-31 relative error = 3.4334953582768676366391876518795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.551 y[1] (analytic) = 2.913299789286896415699498063827 y[1] (numeric) = 2.9132997892868964156994980638263 absolute error = 7e-31 relative error = 2.4027736608986013450574653757254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.552 y[1] (analytic) = 2.914115751121814560523805189053 y[1] (numeric) = 2.9141157511218145605238051890519 absolute error = 1.1e-30 relative error = 3.7747299487899384166199196336942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.553 y[1] (analytic) = 2.914931799566146363568639309866 y[1] (numeric) = 2.9149317995661463635686393098662 absolute error = 2e-31 relative error = 6.8612239926082548413527859564848e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.554 y[1] (analytic) = 2.915747934615767112566603161921 y[1] (numeric) = 2.9157479346157671125666031619207 absolute error = 3e-31 relative error = 1.0288955243297927597368032017979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.555 y[1] (analytic) = 2.916564156266553599135201177902 y[1] (numeric) = 2.9165641562665535991352011779022 absolute error = 2e-31 relative error = 6.8573838696562996671798362642248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2319.4MB, alloc=4.6MB, time=150.87 x[1] = 3.556 y[1] (analytic) = 2.917380464514384118081435993591 y[1] (numeric) = 2.9173804645143841180814359935915 absolute error = 5e-31 relative error = 1.7138662786076757679175567512847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.557 y[1] (analytic) = 2.918196859355138466706849806921 y[1] (numeric) = 2.9181968593551384667068498069203 absolute error = 7e-31 relative error = 2.3987415302567545567077774765972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.558 y[1] (analytic) = 2.919013340784697944113010226645 y[1] (numeric) = 2.9190133407846979441130102266455 absolute error = 5e-31 relative error = 1.7129075534323816979767430140416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.559 y[1] (analytic) = 2.919829908798945350507440247623 y[1] (numeric) = 2.9198299087989453505074402476231 absolute error = 1e-31 relative error = 3.4248570335774937191548752459847e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (analytic) = 2.920646563393764986509991990024 y[1] (numeric) = 2.9206465633937649865099919900239 absolute error = 1e-31 relative error = 3.4238993945162916657597376905234e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2323.2MB, alloc=4.6MB, time=151.23 x[1] = 3.561 y[1] (analytic) = 2.921463304565042652459663840193 y[1] (numeric) = 2.9214633045650426524596638401941 absolute error = 1.1e-30 relative error = 3.7652364083476712506704598579484e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.562 y[1] (analytic) = 2.922280132308665647721860631225 y[1] (numeric) = 2.9222801323086656477218606312255 absolute error = 5e-31 relative error = 1.7109927089877895823961694499583e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.563 y[1] (analytic) = 2.923097046620522769996096501658 y[1] (numeric) = 2.9230970466205227699960965016577 absolute error = 3e-31 relative error = 1.0263087239845105258000292494698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.564 y[1] (analytic) = 2.923914047496504314624140071097 y[1] (numeric) = 2.9239140474965043146241400710969 absolute error = 1e-31 relative error = 3.4200731750518242618697906497585e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.565 y[1] (analytic) = 2.924731134932502073898601571891 y[1] (numeric) = 2.9247311349325020738986015718919 absolute error = 9e-31 relative error = 3.0772059327113858001326805524089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.566 y[1] (analytic) = 2.925548308924409336371961576369 y[1] (numeric) = 2.9255483089244093363719615763697 absolute error = 7e-31 relative error = 2.3927138644904416886485400669083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.6MB, time=151.59 x[1] = 3.567 y[1] (analytic) = 2.926365569468120886166040959488 y[1] (numeric) = 2.9263655694681208861660409594883 absolute error = 3e-31 relative error = 1.0251624169243019346518546439616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.568 y[1] (analytic) = 2.927182916559533002281911737125 y[1] (numeric) = 2.9271829165595330022819117371249 absolute error = 1e-31 relative error = 3.4162538813097162832831799330255e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.569 y[1] (analytic) = 2.928000350194543457910248420573 y[1] (numeric) = 2.9280003501945434579102484205731 absolute error = 1e-31 relative error = 3.4153001379714916022321095350566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (analytic) = 2.92881787036905151974211952818 y[1] (numeric) = 2.9288178703690515197421195281798 absolute error = 2e-31 relative error = 6.8286936522549489326155833684030e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.571 y[1] (analytic) = 2.929635477078957947280218895411 y[1] (numeric) = 2.9296354770789579472802188954111 absolute error = 1e-31 relative error = 3.4133939455056938542132977642968e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.572 y[1] (analytic) = 2.93045317032016499215053642499 y[1] (numeric) = 2.9304531703201649921505364249893 absolute error = 7e-31 relative error = 2.3887090470840791448956717015061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2330.8MB, alloc=4.6MB, time=151.95 TOP MAIN SOLVE Loop x[1] = 3.573 y[1] (analytic) = 2.931270950088576397414467919101 y[1] (numeric) = 2.9312709500885763974144679191022 absolute error = 1.2e-30 relative error = 4.0937873722104696813471832539215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.574 y[1] (analytic) = 2.932088816380097396881363636039 y[1] (numeric) = 2.9320888163800973968813636360382 absolute error = 8e-31 relative error = 2.7284303106058881203298759432807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.575 y[1] (analytic) = 2.932906769190634714421515213959 y[1] (numeric) = 2.9329067691906347144215152139584 absolute error = 6e-31 relative error = 2.0457520378855277020503407804792e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.576 y[1] (analytic) = 2.93372480851609656327958060487 y[1] (numeric) = 2.9337248085160965632795806048687 absolute error = 1.3e-30 relative error = 4.4312268015947660338919468487561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.577 y[1] (analytic) = 2.934542934352392645388446662212 y[1] (numeric) = 2.9345429343523926453884466622113 absolute error = 7e-31 relative error = 2.3853799915675078122795852507847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.6MB, time=152.31 x[1] = 3.578 y[1] (analytic) = 2.935361146695434150683529025847 y[1] (numeric) = 2.9353611466954341506835290258464 absolute error = 6e-31 relative error = 2.0440414995458632863574175974531e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.579 y[1] (analytic) = 2.93617944554113375641750894855 y[1] (numeric) = 2.9361794455411337564175089485504 absolute error = 4e-31 relative error = 1.3623145567871808347406706350153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (analytic) = 2.936997830885405626475506708509 y[1] (numeric) = 2.9369978308854056264755067085079 absolute error = 1.1e-30 relative error = 3.7453211181582219994439608306863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.581 y[1] (analytic) = 2.937816302724165410690691252627 y[1] (numeric) = 2.9378163027241654106906912526278 absolute error = 8e-31 relative error = 2.7231110374674533265613376416631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.582 y[1] (analytic) = 2.938634861053330244160325715867 y[1] (numeric) = 2.9386348610533302441603257158665 absolute error = 5e-31 relative error = 1.7014703208849124764928254468454e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.583 y[1] (analytic) = 2.939453505868818746562248462091 y[1] (numeric) = 2.9394535058688187465622484620917 absolute error = 7e-31 relative error = 2.3813950402767127102550415306015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.6MB, time=152.68 x[1] = 3.584 y[1] (analytic) = 2.940272237166551021471789292371 y[1] (numeric) = 2.9402722371665510214717892923714 absolute error = 4e-31 relative error = 1.3604182461195075221464725793362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.585 y[1] (analytic) = 2.941091054942448655679120466925 y[1] (numeric) = 2.9410910549424486556791204669251 absolute error = 1e-31 relative error = 3.4000987433541666575514322035563e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.586 y[1] (analytic) = 2.941909959192434718507042187323 y[1] (numeric) = 2.9419099591924347185070421873226 absolute error = 4e-31 relative error = 1.3596609194314073953288489992602e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.587 y[1] (analytic) = 2.942728949912433761129202185867 y[1] (numeric) = 2.9427289499124337611292021858665 absolute error = 5e-31 relative error = 1.6991031403516739356691880793690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.588 y[1] (analytic) = 2.943548027098371815888749069444 y[1] (numeric) = 2.9435480270983718158887490694444 absolute error = 4e-31 relative error = 1.3589042757841579864163456097273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.589 memory used=2342.3MB, alloc=4.6MB, time=153.04 y[1] (analytic) = 2.944367190746176395617419065486 y[1] (numeric) = 2.9443671907461763956174190654854 absolute error = 6e-31 relative error = 2.0377893147489697825674125323038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.59 y[1] (analytic) = 2.945186440851776492955055818004 y[1] (numeric) = 2.9451864408517764929550558180043 absolute error = 3e-31 relative error = 1.0186112357397553731562663164840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.591 y[1] (analytic) = 2.946005777411102579669562882066 y[1] (numeric) = 2.9460057774111025796695628820654 absolute error = 6e-31 relative error = 2.0366558837072930533865475720594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.592 y[1] (analytic) = 2.946825200420086605977288565345 y[1] (numeric) = 2.9468252004200866059772885653456 absolute error = 6e-31 relative error = 2.0360895512718793265852266178695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.593 y[1] (analytic) = 2.947644709874661999863842765824 y[1] (numeric) = 2.9476447098746619998638427658235 absolute error = 5e-31 relative error = 1.6962695616774679179542265274689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.594 y[1] (analytic) = 2.94846430577076366640534545497 y[1] (numeric) = 2.9484643057707636664053454549696 absolute error = 4e-31 relative error = 1.3566384345135737996420851050319e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2346.1MB, alloc=4.6MB, time=153.40 x[1] = 3.595 y[1] (analytic) = 2.949283988104327987090106456158 y[1] (numeric) = 2.949283988104327987090106456158 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.596 y[1] (analytic) = 2.950103756871292819140736168366 y[1] (numeric) = 2.9501037568712928191407361683661 absolute error = 1e-31 relative error = 3.3897112861567330235321151971767e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.597 y[1] (analytic) = 2.950923612067597494836686885578 y[1] (numeric) = 2.9509236120675974948366868855772 absolute error = 8e-31 relative error = 2.7110156180541423434706000132948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.598 y[1] (analytic) = 2.951743553689182820837224362642 y[1] (numeric) = 2.9517435536891828208372243626424 absolute error = 4e-31 relative error = 1.3551312731760430160064773761551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.599 y[1] (analytic) = 2.952563581731991077504829278707 y[1] (numeric) = 2.952563581731991077504829278707 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (analytic) = 2.953383696191966018229028249649 y[1] (numeric) = 2.953383696191966018229028249649 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.6MB, time=153.76 x[1] = 3.601 y[1] (analytic) = 2.954203897065052868750654041322 y[1] (numeric) = 2.954203897065052868750654041322 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.602 y[1] (analytic) = 2.955024184347198326486534635741 y[1] (numeric) = 2.9550241843471983264865346357394 absolute error = 1.6e-30 relative error = 5.4145072939680862282869036682400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.603 y[1] (analytic) = 2.95584455803435055985461080268 y[1] (numeric) = 2.9558445580343505598546108026796 absolute error = 4e-31 relative error = 1.3532511339703253319467120630657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.604 y[1] (analytic) = 2.956665018122459207599481829535 y[1] (numeric) = 2.9566650181224592075994818295345 absolute error = 5e-31 relative error = 1.6910945167454576707490650866736e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.605 y[1] (analytic) = 2.957485564607475378118379062568 y[1] (numeric) = 2.957485564607475378118379062568 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.6MB, time=154.12 x[1] = 3.606 y[1] (analytic) = 2.958306197485351648787566913092 y[1] (numeric) = 2.9583061974853516487875669130911 absolute error = 9e-31 relative error = 3.0422814270038267081140488219340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.607 y[1] (analytic) = 2.959126916752042065289170982404 y[1] (numeric) = 2.9591269167520420652891709824041 absolute error = 1e-31 relative error = 3.3793751607572372623159239616761e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.608 y[1] (analytic) = 2.959947722403502140938432959697 y[1] (numeric) = 2.9599477224035021409384329596968 absolute error = 2e-31 relative error = 6.7568760923114661788937536582158e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.609 y[1] (analytic) = 2.960768614435688856011391947438 y[1] (numeric) = 2.9607686144356888560113919474389 absolute error = 9e-31 relative error = 3.0397512173423810380735351712672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (analytic) = 2.961589592844560657072991869135 y[1] (numeric) = 2.9615895928445606570729918691331 absolute error = 1.9e-30 relative error = 6.4154736516854099470032523009426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.611 y[1] (analytic) = 2.962410657626077456305614614644 y[1] (numeric) = 2.962410657626077456305614614645 absolute error = 1.0e-30 relative error = 3.3756292275877384003621554956948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.6MB, time=154.49 x[1] = 3.612 y[1] (analytic) = 2.963231808776200630838038578662 y[1] (numeric) = 2.9632318087762006308380385786617 absolute error = 3e-31 relative error = 1.0124081386798370126334530980208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.613 y[1] (analytic) = 2.964053046290893022074822248174 y[1] (numeric) = 2.9640530462908930220748222481726 absolute error = 1.4e-30 relative error = 4.7232622970493342366313549359594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.614 y[1] (analytic) = 2.964874370166118935026112495204 y[1] (numeric) = 2.9648743701661189350261124952031 absolute error = 9e-31 relative error = 3.0355417722120006837162764108057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.615 y[1] (analytic) = 2.965695780397844137637877231371 y[1] (numeric) = 2.9656957803978441376378772313725 absolute error = 1.5e-30 relative error = 5.0578350278354477697089205487438e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.616 y[1] (analytic) = 2.966517276982035860122562081185 y[1] (numeric) = 2.9665172769820358601225620811837 absolute error = 1.3e-30 relative error = 4.3822431444678632251984568773619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.617 y[1] (analytic) = 2.967338859914662794290170731293 y[1] (numeric) = 2.9673388599146627942901707312917 absolute error = 1.3e-30 relative error = 4.3810298094414012567709220039519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.6MB, time=154.86 x[1] = 3.618 y[1] (analytic) = 2.968160529191695092879768613337 y[1] (numeric) = 2.9681605291916950928797686133352 absolute error = 1.8e-30 relative error = 6.0643620258981927719681310348851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.619 y[1] (analytic) = 2.968982284809104368891409578253 y[1] (numeric) = 2.9689822848091043688914095782519 absolute error = 1.1e-30 relative error = 3.7049732685445319894656311482577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (analytic) = 2.969804126762863694918485220335 y[1] (numeric) = 2.9698041267628636949184852203353 absolute error = 3e-31 relative error = 1.0101676312471322185575544080457e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.621 y[1] (analytic) = 2.970626055048947602480496509629 y[1] (numeric) = 2.9706260550489476024804965096281 absolute error = 9e-31 relative error = 3.0296643984197819847698184663282e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.622 y[1] (analytic) = 2.971448069663332081356247391582 y[1] (numeric) = 2.9714480696633320813562473915812 absolute error = 8e-31 relative error = 2.6922900257538095489435459553928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.6MB, time=155.22 x[1] = 3.623 y[1] (analytic) = 2.972270170601994578917460013245 y[1] (numeric) = 2.9722701706019945789174600132449 absolute error = 1e-31 relative error = 3.3644317057404745787312501511753e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.624 y[1] (analytic) = 2.973092357860913999462811235592 y[1] (numeric) = 2.9730923578609139994628112355928 absolute error = 8e-31 relative error = 2.6908010371248119680831690065491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.625 y[1] (analytic) = 2.973914631436070703552390091915 y[1] (numeric) = 2.9739146314360707035523900919142 absolute error = 8e-31 relative error = 2.6900570431427911867994239208112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.626 y[1] (analytic) = 2.974736991323446507342575852545 y[1] (numeric) = 2.9747369913234465073425758525447 absolute error = 3e-31 relative error = 1.0084925184143133604639980692913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.627 y[1] (analytic) = 2.97555943751902468192133635654 y[1] (numeric) = 2.9755594375190246819213363565399 absolute error = 1e-31 relative error = 3.3607125685037046121365470788693e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.628 y[1] (analytic) = 2.97638197001878995264394627123 y[1] (numeric) = 2.9763819700187899526439462712289 absolute error = 1.1e-30 relative error = 3.6957622075403704999385647089327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2369.0MB, alloc=4.6MB, time=155.58 x[1] = 3.629 y[1] (analytic) = 2.97720458881872849846912494092 y[1] (numeric) = 2.9772045888187284984691249409194 absolute error = 6e-31 relative error = 2.0153132984322828032769636500706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (analytic) = 2.978027293914827951295593486357 y[1] (numeric) = 2.9780272939148279512955934863574 absolute error = 4e-31 relative error = 1.3431710341182657504334710081882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.631 y[1] (analytic) = 2.978850085303077395299050816879 y[1] (numeric) = 2.9788500853030773952990508168783 absolute error = 7e-31 relative error = 2.3499000619521940158362990899003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.632 y[1] (analytic) = 2.979672962979467366269568217518 y[1] (numeric) = 2.9796729629794673662695682175174 absolute error = 6e-31 relative error = 2.0136438040503659832993959046529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.633 y[1] (analytic) = 2.980495926939989850949402173682 y[1] (numeric) = 2.98049592693998985094940217368 absolute error = 2.0e-30 relative error = 6.7102926795587215254307087521592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.634 y[1] (analytic) = 2.981318977180638286371225096304 y[1] (numeric) = 2.981318977180638286371225096302 absolute error = 2.0e-30 relative error = 6.7084401746617261956351957975447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2372.8MB, alloc=4.6MB, time=155.94 TOP MAIN SOLVE Loop x[1] = 3.635 y[1] (analytic) = 2.982142113697407559196773610763 y[1] (numeric) = 2.9821421136974075591967736107637 absolute error = 7e-31 relative error = 2.3473059744027601509894128536748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.636 y[1] (analytic) = 2.98296533648629400505591407315 y[1] (numeric) = 2.9829653364862940050559140731493 absolute error = 7e-31 relative error = 2.3466581774783433810498843756830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.637 y[1] (analytic) = 2.983788645543295407886124977775 y[1] (numeric) = 2.9837886455432954078861249777751 absolute error = 1e-31 relative error = 3.3514438145397446425942139212922e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.638 y[1] (analytic) = 2.984612040864410999272395920239 y[1] (numeric) = 2.9846120408644109992723959202387 absolute error = 3e-31 relative error = 1.0051557652803452138153295625632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.639 y[1] (analytic) = 2.985435522445641457787542780573 y[1] (numeric) = 2.9854355224456414577875427805718 absolute error = 1.2e-30 relative error = 4.0195140406749464218762385145268e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.6MB, time=156.31 x[1] = 3.64 y[1] (analytic) = 2.986259090282988908332938791408 y[1] (numeric) = 2.9862590902829889083329387914077 absolute error = 3e-31 relative error = 1.0046013789499118619547507133866e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.641 y[1] (analytic) = 2.987082744372456921479661156401 y[1] (numeric) = 2.9870827443724569214796611564023 absolute error = 1.3e-30 relative error = 4.3520722767025701641435282125190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.642 y[1] (analytic) = 2.987906484710050512810052884477 y[1] (numeric) = 2.9879064847100505128100528844779 absolute error = 9e-31 relative error = 3.0121424636465385102831883852939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.643 y[1] (analytic) = 2.988730311291776142259699505786 y[1] (numeric) = 2.9887303112917761422596995057846 absolute error = 1.4e-30 relative error = 4.6842633967696403828395603196515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.644 y[1] (analytic) = 2.989554224113641713459820335604 y[1] (numeric) = 2.9895542241136417134598203356031 absolute error = 9e-31 relative error = 3.0104822743826852347464678943542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.645 y[1] (analytic) = 2.990378223171656573080073952741 y[1] (numeric) = 2.990378223171656573080073952739 absolute error = 2.0e-30 relative error = 6.6881171903357392536592968295135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.6MB, time=156.68 x[1] = 3.646 y[1] (analytic) = 2.991202308461831510171777559286 y[1] (numeric) = 2.991202308461831510171777559286 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.647 y[1] (analytic) = 2.992026479980178755511539888962 y[1] (numeric) = 2.9920264799801787555115398889619 absolute error = 1e-31 relative error = 3.3422164098180865326406963107590e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.648 y[1] (analytic) = 2.992850737722711980945307331546 y[1] (numeric) = 2.9928507377227119809453073315457 absolute error = 3e-31 relative error = 1.0023887800975761187980457266276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.649 y[1] (analytic) = 2.993675081685446298732822941272 y[1] (numeric) = 2.9936750816854462987328229412724 absolute error = 4e-31 relative error = 1.3361503472674764499317193014127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (analytic) = 2.994499511864398260892497997364 y[1] (numeric) = 2.9944995118643982608924979973645 absolute error = 5e-31 relative error = 1.6697281065465800734064012289504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.6MB, time=157.04 x[1] = 3.651 y[1] (analytic) = 2.995324028255585858546695785207 y[1] (numeric) = 2.9953240282555858585466957852064 absolute error = 6e-31 relative error = 2.0031221809061755029660401946403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.652 y[1] (analytic) = 2.996148630855028521267427266991 y[1] (numeric) = 2.9961486308550285212674272669906 absolute error = 4e-31 relative error = 1.3350472532661026636778509154923e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.653 y[1] (analytic) = 2.99697331965874711642245831099 y[1] (numeric) = 2.99697331965874711642245831099 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.654 y[1] (analytic) = 2.997798094662763948521828148934 y[1] (numeric) = 2.9977980946627639485218281489333 absolute error = 7e-31 relative error = 2.3350471842859257312470233866506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.655 y[1] (analytic) = 2.998622955863102758564778731284 y[1] (numeric) = 2.9986229558631027585647787312847 absolute error = 7e-31 relative error = 2.3344048595083101156848686901274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.656 y[1] (analytic) = 2.999447903255788723387094650552 y[1] (numeric) = 2.9994479032557887233870946505515 absolute error = 5e-31 relative error = 1.6669734435369544709700174812325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.6MB, time=157.41 x[1] = 3.657 y[1] (analytic) = 3.000272936836848455008853303067 y[1] (numeric) = 3.0002729368368484550088533030663 absolute error = 7e-31 relative error = 2.3331210684385319664559376052354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.658 y[1] (analytic) = 3.001098056602309999982584960011 y[1] (numeric) = 3.0010980566023099999825849600117 absolute error = 7e-31 relative error = 2.3324796017911666032833492557882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.659 y[1] (analytic) = 3.001923262548202838741842418779 y[1] (numeric) = 3.0019232625482028387418424187793 absolute error = 3e-31 relative error = 9.9935932321382184022366140310775e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (analytic) = 3.002748554670557884950179906074 y[1] (numeric) = 3.0027485546705578849501799060734 absolute error = 6e-31 relative error = 1.9981693074724603848427667084548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.661 y[1] (analytic) = 3.003573932965407484850540904494 y[1] (numeric) = 3.0035739329654074848505409044941 absolute error = 1e-31 relative error = 3.3293670218155975650292959076930e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.662 y[1] (analytic) = 3.004399397428785416615054574653 y[1] (numeric) = 3.0043993974287854166150545746523 absolute error = 7e-31 relative error = 2.3299165903144287390974004528703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.6MB, time=157.78 x[1] = 3.663 y[1] (analytic) = 3.005224948056726889695240445193 y[1] (numeric) = 3.0052249480567268896952404451923 absolute error = 7e-31 relative error = 2.3292765503382435603483657354699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.664 y[1] (analytic) = 3.006050584845268544172621043414 y[1] (numeric) = 3.0060505848452685441726210434145 absolute error = 5e-31 relative error = 1.6633119965469132937830612766903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.665 y[1] (analytic) = 3.006876307790448450109742139513 y[1] (numeric) = 3.0068763077904484501097421395139 absolute error = 9e-31 relative error = 2.9931394173688161581494820917264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.666 y[1] (analytic) = 3.007702116888306106901600277768 y[1] (numeric) = 3.0077021168883061069016002777662 absolute error = 1.8e-30 relative error = 5.9846352133509660344309095069703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.667 y[1] (analytic) = 3.008528012134882442627477268314 y[1] (numeric) = 3.0085280121348824426274772683146 absolute error = 6e-31 relative error = 1.9943307743185473101563949229168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2395.7MB, alloc=4.6MB, time=158.14 x[1] = 3.668 y[1] (analytic) = 3.009353993526219813403181313528 y[1] (numeric) = 3.0093539935262198134031813135271 absolute error = 9e-31 relative error = 2.9906750815493867080719797753947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.669 y[1] (analytic) = 3.010180061058362002733694443214 y[1] (numeric) = 3.0101800610583620027336944432139 absolute error = 1e-31 relative error = 3.3220604074043522479572922526119e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.67 y[1] (analytic) = 3.011006214727354220866225933311 y[1] (numeric) = 3.0110062147273542208662259333106 absolute error = 4e-31 relative error = 1.3284595629312571487279728404445e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.671 y[1] (analytic) = 3.011832454529243104143671382952 y[1] (numeric) = 3.0118324545292431041436713829524 absolute error = 4e-31 relative error = 1.3280951249412079060749898031969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.672 y[1] (analytic) = 3.012658780460076714358477125181 y[1] (numeric) = 3.0126587804600767143584771251794 absolute error = 1.6e-30 relative error = 5.3109233955650854737551289333892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.673 y[1] (analytic) = 3.01348519251590453810690964683 y[1] (numeric) = 3.0134851925159045381069096468311 absolute error = 1.1e-30 relative error = 3.6502585203733149998753979237106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2399.5MB, alloc=4.6MB, time=158.51 x[1] = 3.674 y[1] (analytic) = 3.014311690692777486143729693505 y[1] (numeric) = 3.014311690692777486143729693505 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.675 y[1] (analytic) = 3.015138274986747892737270735768 y[1] (numeric) = 3.0151382749867478927372707357685 absolute error = 5e-31 relative error = 1.6582987392251441445967715410757e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.676 y[1] (analytic) = 3.01596494539386951502492147313 y[1] (numeric) = 3.0159649453938695150249214731302 absolute error = 2e-31 relative error = 6.6313768104450241982910407156140e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.677 y[1] (analytic) = 3.016791701910197532369012052594 y[1] (numeric) = 3.0167917019101975323690120525923 absolute error = 1.7e-30 relative error = 5.6351255505097674058260872679670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.678 y[1] (analytic) = 3.017618544531788545713103678919 y[1] (numeric) = 3.017618544531788545713103678919 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) = 3.018445473254700576938681294072 y[1] (numeric) = 3.0184454732547005769386812940721 absolute error = 1e-31 relative error = 3.3129636061364048560171567437759e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.6MB, time=158.87 x[1] = 3.68 y[1] (analytic) = 3.019272488074993068222249003579 y[1] (numeric) = 3.019272488074993068222249003578 absolute error = 1.0e-30 relative error = 3.3120561458087312414517807260636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.681 y[1] (analytic) = 3.020099588988726881392827927906 y[1] (numeric) = 3.0200995889887268813928279279053 absolute error = 7e-31 relative error = 2.3178043616581310304192067699864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.682 y[1] (analytic) = 3.020926775991964297289856157244 y[1] (numeric) = 3.0209267759919642972898561572439 absolute error = 1e-31 relative error = 3.3102424327105239720275050799583e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.683 y[1] (analytic) = 3.021754049080769015121490488391 y[1] (numeric) = 3.0217540490807690151214904883913 absolute error = 3e-31 relative error = 9.9280085383276422072038490997585e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.684 y[1] (analytic) = 3.022581408251206151823309622764 y[1] (numeric) = 3.0225814082512061518233096227635 absolute error = 5e-31 relative error = 1.6542151640153445204940334018662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.6MB, time=159.23 x[1] = 3.685 y[1] (analytic) = 3.023408853499342241417418504862 y[1] (numeric) = 3.0234088534993422414174185048611 absolute error = 9e-31 relative error = 2.9767723904040482752354220741758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.686 y[1] (analytic) = 3.024236384821245234371953480832 y[1] (numeric) = 3.0242363848212452343719534808319 absolute error = 1e-31 relative error = 3.3066198297826094214833809766927e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.687 y[1] (analytic) = 3.025064002212984496960987957085 y[1] (numeric) = 3.0250640022129844969609879570843 absolute error = 7e-31 relative error = 2.3140006277153648600187972644128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.688 y[1] (analytic) = 3.025891705670630810624838239217 y[1] (numeric) = 3.0258917056706308106248382392167 absolute error = 3e-31 relative error = 9.9144328079484509803763909462950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.689 y[1] (analytic) = 3.026719495190256371330769231839 y[1] (numeric) = 3.0267194951902563713307692318384 absolute error = 6e-31 relative error = 1.9823442540792325307603322474619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (analytic) = 3.02754737076793478893409968017 y[1] (numeric) = 3.0275473707679347889340996801691 absolute error = 9e-31 relative error = 2.9727032801858878046115408806673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.6MB, time=159.59 x[1] = 3.691 y[1] (analytic) = 3.028375332399741086539706634613 y[1] (numeric) = 3.0283753323997410865397066346133 absolute error = 3e-31 relative error = 9.9063017978776892757116551459755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.692 y[1] (analytic) = 3.029203380081751699863928819818 y[1] (numeric) = 3.0292033800817516998639288198168 absolute error = 1.2e-30 relative error = 3.9614375445719150580197945156322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.693 y[1] (analytic) = 3.030031513810044476596868590021 y[1] (numeric) = 3.0300315138100444765968685900209 absolute error = 1e-31 relative error = 3.3002957079564253662709499145350e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.694 y[1] (analytic) = 3.030859733580698675765092152841 y[1] (numeric) = 3.0308597335806986757650921528407 absolute error = 3e-31 relative error = 9.8981815844567621438730357009892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.695 y[1] (analytic) = 3.031688039389794967094727743901 y[1] (numeric) = 3.0316880393897949670947277439001 absolute error = 9e-31 relative error = 2.9686431727360315756311793800845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.696 y[1] (analytic) = 3.032516431233415430374961435068 y[1] (numeric) = 3.0325164312334154303749614350676 absolute error = 4e-31 relative error = 1.3190365462828110615005913938838e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.6MB, time=159.97 x[1] = 3.697 y[1] (analytic) = 3.033344909107643554821930259344 y[1] (numeric) = 3.0333449091076435548219302593429 absolute error = 1.1e-30 relative error = 3.6263597874980875580378671162966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.698 y[1] (analytic) = 3.034173473008564238443012335752 y[1] (numeric) = 3.0341734730085642384430123357528 absolute error = 8e-31 relative error = 2.6366323716051482504286624230512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.699 y[1] (analytic) = 3.035002122932263787401513677923 y[1] (numeric) = 3.0350021229322637874015136779221 absolute error = 9e-31 relative error = 2.9654015501329074588722070277876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (analytic) = 3.035830858874829915381751370294 y[1] (numeric) = 3.0358308588748299153817513702933 absolute error = 7e-31 relative error = 2.3057938091433757331744384153954e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.701 y[1] (analytic) = 3.036659680832351742954532796273 y[1] (numeric) = 3.0366596808323517429545327962734 absolute error = 4e-31 relative error = 1.3172368392969197065004297957723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2418.6MB, alloc=4.6MB, time=160.33 x[1] = 3.702 y[1] (analytic) = 3.037488588800919796943030602895 y[1] (numeric) = 3.0374885888009197969430306028945 absolute error = 5e-31 relative error = 1.6460967189917253279493007409832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.703 y[1] (analytic) = 3.03831758277662600978905308688 y[1] (numeric) = 3.0383175827766260097890530868804 absolute error = 4e-31 relative error = 1.3165180699591389273382575892786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.704 y[1] (analytic) = 3.039146662755563718919709687316 y[1] (numeric) = 3.0391466627555637189197096873156 absolute error = 4e-31 relative error = 1.3161589234963870490149146114793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.705 y[1] (analytic) = 3.039975828733827666114471270422 y[1] (numeric) = 3.0399758287338276661144712704209 absolute error = 1.1e-30 relative error = 3.6184498231953314765936516164350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.706 y[1] (analytic) = 3.040805080707513996872624892243 y[1] (numeric) = 3.0408050807075139968726248922426 absolute error = 4e-31 relative error = 1.3154411064945034244330865417842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.707 y[1] (analytic) = 3.041634418672720259781122725367 y[1] (numeric) = 3.0416344186727202597811227253677 absolute error = 7e-31 relative error = 2.3013942625802459123206277458192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2422.4MB, alloc=4.6MB, time=160.69 x[1] = 3.708 y[1] (analytic) = 3.042463842625545405882824836082 y[1] (numeric) = 3.0424638426255454058828248360819 absolute error = 1e-31 relative error = 3.2868098085170115307722287278235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.709 y[1] (analytic) = 3.043293352562089788045135498691 y[1] (numeric) = 3.0432933525620897880451354986911 absolute error = 1e-31 relative error = 3.2859139233426818655547578428953e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (analytic) = 3.04412294847845516032903273403 y[1] (numeric) = 3.0441229484784551603290327340299 absolute error = 1e-31 relative error = 3.2850184336339972227205252423353e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.711 y[1] (analytic) = 3.044952630370744677358490759486 y[1] (numeric) = 3.0449526303707446773584907594851 absolute error = 9e-31 relative error = 2.9557110052330061623979840821023e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.712 y[1] (analytic) = 3.045782398235062893690295038164 y[1] (numeric) = 3.0457823982350628936902950381635 absolute error = 5e-31 relative error = 1.6416143198205315085216276186708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.713 y[1] (analytic) = 3.046612252067515763184249615138 y[1] (numeric) = 3.0466122520675157631842496151372 absolute error = 8e-31 relative error = 2.6258674678968344652623855283537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2426.2MB, alloc=4.6MB, time=161.05 x[1] = 3.714 y[1] (analytic) = 3.047442191864210638373776429002 y[1] (numeric) = 3.0474421918642106383737764290014 absolute error = 6e-31 relative error = 1.9688642547570762321066380366668e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.715 y[1] (analytic) = 3.04827221762125626983690628728 y[1] (numeric) = 3.0482722176212562698369062872801 absolute error = 1e-31 relative error = 3.2805469085709085359407200566042e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.716 y[1] (analytic) = 3.04910232933476280556766119452 y[1] (numeric) = 3.0491023293347628055676611945194 absolute error = 6e-31 relative error = 1.9677922719337033894191457841581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.717 y[1] (analytic) = 3.049932527000841790347827722206 y[1] (numeric) = 3.0499325270008417903478277222065 absolute error = 5e-31 relative error = 1.6393805291544470896074157914313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.718 y[1] (analytic) = 3.050762810615606165119121109956 y[1] (numeric) = 3.0507628106156061651191211099546 absolute error = 1.4e-30 relative error = 4.5890162130221370200300725653901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.6MB, time=161.42 x[1] = 3.719 y[1] (analytic) = 3.051593180175170266355739787696 y[1] (numeric) = 3.0515931801751702663557397876943 absolute error = 1.7e-30 relative error = 5.5708605296542676364186212750646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (analytic) = 3.052423635675649825437310008912 y[1] (numeric) = 3.052423635675649825437310008912 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.721 y[1] (analytic) = 3.053254177113161968022220285276 y[1] (numeric) = 3.0532541771131619680222202852755 absolute error = 5e-31 relative error = 1.6375970390802764457268816287096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.722 y[1] (analytic) = 3.054084804483825213421345313286 y[1] (numeric) = 3.0540848044838252134213453132867 absolute error = 7e-31 relative error = 2.2920123205888118651687463635486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.723 y[1] (analytic) = 3.054915517783759473972159083899 y[1] (numeric) = 3.0549155177837594739721590838995 absolute error = 5e-31 relative error = 1.6367064722062544017307428008210e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.724 y[1] (analytic) = 3.055746317009086054413236866343 y[1] (numeric) = 3.0557463170090860544132368663417 absolute error = 1.3e-30 relative error = 4.2542798555097940683351891404830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.6MB, time=161.78 x[1] = 3.725 y[1] (analytic) = 3.056577202155927651259145757675 y[1] (numeric) = 3.0565772021559276512591457576751 absolute error = 1e-31 relative error = 3.2716333789791388660088423272190e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.726 y[1] (analytic) = 3.057408173220408352175723489929 y[1] (numeric) = 3.0574081732204083521757234899297 absolute error = 7e-31 relative error = 2.2895209286455225502026576072360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.727 y[1] (analytic) = 3.058239230198653635355745186941 y[1] (numeric) = 3.0582392301986536353557451869414 absolute error = 4e-31 relative error = 1.3079421519748710229824549459023e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.728 y[1] (analytic) = 3.059070373086790368894977763324 y[1] (numeric) = 3.0590703730867903688949777633244 absolute error = 4e-31 relative error = 1.3075867868851129762499394364836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.729 y[1] (analytic) = 3.059901601880946810168621658304 y[1] (numeric) = 3.0599016018809468101686216583031 absolute error = 9e-31 relative error = 2.9412710508297474660951439250302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (analytic) = 3.060732916577252605208139597426 y[1] (numeric) = 3.0607329165772526052081395974263 absolute error = 3e-31 relative error = 9.8015739424752917273380027412138e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=2437.6MB, alloc=4.6MB, time=162.14 TOP MAIN SOLVE Loop x[1] = 3.731 y[1] (analytic) = 3.061564317171838788078472075484 y[1] (numeric) = 3.0615643171718387880784720754834 absolute error = 6e-31 relative error = 1.9597824440097279066647490915444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.732 y[1] (analytic) = 3.062395803660837780255639254237 y[1] (numeric) = 3.0623958036608377802556392542372 absolute error = 2e-31 relative error = 6.5308344454011054108945513871418e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.733 y[1] (analytic) = 3.063227376040383390004728968885 y[1] (numeric) = 3.0632273760403833900047289688843 absolute error = 7e-31 relative error = 2.2851715333807192465949618397201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.734 y[1] (analytic) = 3.06405903430661081175827053745 y[1] (numeric) = 3.0640590343066108117582705374495 absolute error = 5e-31 relative error = 1.6318223454632257016795569318051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.735 y[1] (analytic) = 3.064890778455656625494994067616 y[1] (numeric) = 3.0648907784556566254949940676149 absolute error = 1.1e-30 relative error = 3.5890349102563133700058003749970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.6MB, time=162.51 x[1] = 3.736 y[1] (analytic) = 3.065722608483658796118974955779 y[1] (numeric) = 3.0657226084836587961189749557796 absolute error = 6e-31 relative error = 1.9571242301558613978122643036119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.737 y[1] (analytic) = 3.066554524386756672839163273441 y[1] (numeric) = 3.0665545243867566728391632734411 absolute error = 1e-31 relative error = 3.2609888134957520867242379380612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.738 y[1] (analytic) = 3.067386526161090988549297736281 y[1] (numeric) = 3.0673865261610909885492977362809 absolute error = 1e-31 relative error = 3.2601042987938151279906512836313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.739 y[1] (analytic) = 3.068218613802803859208203951635 y[1] (numeric) = 3.0682186138028038592082039516339 absolute error = 1.1e-30 relative error = 3.5851421898410320393247246464016e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (analytic) = 3.069050787308038783220476640311 y[1] (numeric) = 3.0690507873080387832204766403114 absolute error = 4e-31 relative error = 1.3033345738499577340953532310980e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.741 y[1] (analytic) = 3.069883046672940640817545529044 y[1] (numeric) = 3.0698830466729406408175455290431 absolute error = 9e-31 relative error = 2.9317077762144606112087240453559e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2445.3MB, alloc=4.6MB, time=162.88 x[1] = 3.742 y[1] (analytic) = 3.070715391893655693439124610094 y[1] (numeric) = 3.0707153918936556934391246100935 absolute error = 5e-31 relative error = 1.6282850612594834857697786522264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.743 y[1] (analytic) = 3.071547822966331583115044464904 y[1] (numeric) = 3.0715478229663315831150444649038 absolute error = 2e-31 relative error = 6.5113750957929420756472701860241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.744 y[1] (analytic) = 3.072380339887117331847467348899 y[1] (numeric) = 3.0723803398871173318474673488984 absolute error = 6e-31 relative error = 1.9528832163469860857303713437368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.745 y[1] (analytic) = 3.073212942652163340993484734891 y[1] (numeric) = 3.0732129426521633409934847348908 absolute error = 2e-31 relative error = 6.5078471206554682923492972970247e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.746 y[1] (analytic) = 3.074045631257621390648097012813 y[1] (numeric) = 3.0740456312576213906480970128117 absolute error = 1.3e-30 relative error = 4.2289547909806322539132266668400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.747 y[1] (analytic) = 3.074878405699644639027575043776 y[1] (numeric) = 3.0748784056996446390275750437752 memory used=2449.1MB, alloc=4.6MB, time=163.24 absolute error = 8e-31 relative error = 2.6017288960666118846621071573073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.748 y[1] (analytic) = 3.075711265974387621853203266789 y[1] (numeric) = 3.075711265974387621853203266789 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.749 y[1] (analytic) = 3.076544212078006251735404056704 y[1] (numeric) = 3.0765442120780062517354040567044 absolute error = 4e-31 relative error = 1.3001600901091095338091709438071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (analytic) = 3.077377244006657817558243032293 y[1] (numeric) = 3.0773772440066578175582430322932 absolute error = 2e-31 relative error = 6.4990407136307304716733822042815e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.751 y[1] (analytic) = 3.078210361756500983864315013626 y[1] (numeric) = 3.0782103617565009838643150136264 absolute error = 4e-31 relative error = 1.2994563496035740856361066973190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.752 y[1] (analytic) = 3.079043565323695790240010328222 y[1] (numeric) = 3.079043565323695790240010328221 absolute error = 1.0e-30 relative error = 3.2477617766180301463861641832693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2452.9MB, alloc=4.6MB, time=163.60 x[1] = 3.753 y[1] (analytic) = 3.079876854704403650701161165709 y[1] (numeric) = 3.0798768547044036507011611657088 absolute error = 2e-31 relative error = 6.4937661288147618359494755825569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.754 y[1] (analytic) = 3.080710229894787353079067681071 y[1] (numeric) = 3.08071022989478735307906768107 absolute error = 1.0e-30 relative error = 3.2460047371419027456901017059236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.755 y[1] (analytic) = 3.081543690891011058406903546765 y[1] (numeric) = 3.0815436908910110584069035467637 absolute error = 1.3e-30 relative error = 4.2186648329627035020613057071220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.756 y[1] (analytic) = 3.082377237689240300306500654373 y[1] (numeric) = 3.0823772376892403003065006543743 absolute error = 1.3e-30 relative error = 4.2175240074591533477993229291087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.757 y[1] (analytic) = 3.083210870285641984375512666682 y[1] (numeric) = 3.0832108702856419843755126666812 absolute error = 8e-31 relative error = 2.5946976501347264043477626454818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.758 y[1] (analytic) = 3.084044588676384387574957121346 y[1] (numeric) = 3.0840445886763843875749571213464 absolute error = 4e-31 relative error = 1.2969981091345786756397993435090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.6MB, time=163.96 x[1] = 3.759 y[1] (analytic) = 3.084878392857637157617135787702 y[1] (numeric) = 3.0848783928576371576171357877017 absolute error = 3e-31 relative error = 9.7248566003309739630922544297553e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (analytic) = 3.085712282825571312353932978405 y[1] (numeric) = 3.085712282825571312353932978404 absolute error = 1.0e-30 relative error = 3.2407428442560594108773449154323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.761 y[1] (analytic) = 3.086546258576359239165491518014 y[1] (numeric) = 3.0865462585763592391654915180132 absolute error = 8e-31 relative error = 2.5918937640318812555974992661992e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.762 y[1] (analytic) = 3.087380320106174694349266070835 y[1] (numeric) = 3.0873803201061746943492660708343 absolute error = 7e-31 relative error = 2.2672943642263259337866273317491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.763 y[1] (analytic) = 3.088214467411192802509453530649 y[1] (numeric) = 3.0882144674111928025094535306499 absolute error = 9e-31 relative error = 2.9143053680285924935899144848197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.6MB, time=164.32 x[1] = 3.764 y[1] (analytic) = 3.089048700487590055946800175254 y[1] (numeric) = 3.0890487004875900559468001752553 absolute error = 1.3e-30 relative error = 4.2084153603496178350958845743792e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.765 y[1] (analytic) = 3.089883019331544314048785288995 y[1] (numeric) = 3.0898830193315443140487852889943 absolute error = 7e-31 relative error = 2.2654579335868703006722347719924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.766 y[1] (analytic) = 3.090717423939234802680180956777 y[1] (numeric) = 3.0907174239392348026801809567763 absolute error = 7e-31 relative error = 2.2648463252516428800037020592298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.767 y[1] (analytic) = 3.091551914306842113573987733343 y[1] (numeric) = 3.0915519143068421135739877333429 absolute error = 1e-31 relative error = 3.2346214060720708735765327128102e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.768 y[1] (analytic) = 3.092386490430548203722745891834 y[1] (numeric) = 3.0923864904305482037227458918338 absolute error = 2e-31 relative error = 6.4674968869157848483408546438659e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.769 y[1] (analytic) = 3.093221152306536394770221955987 y[1] (numeric) = 3.0932211523065363947702219559868 absolute error = 2e-31 relative error = 6.4657517245692272367052544774754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.6MB, time=164.69 x[1] = 3.77 y[1] (analytic) = 3.094055899930991372403470220589 y[1] (numeric) = 3.0940558999309913724034702205901 absolute error = 1.1e-30 relative error = 3.5552040285520826404060873935465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.771 y[1] (analytic) = 3.094890733300099185745268965089 y[1] (numeric) = 3.0948907333000991857452689650883 absolute error = 7e-31 relative error = 2.2617922903326092887125708337799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.772 y[1] (analytic) = 3.095725652410047246746931065525 y[1] (numeric) = 3.0957256524100472467469310655261 absolute error = 1.1e-30 relative error = 3.5532864455984372468155559781216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.773 y[1] (analytic) = 3.096560657257024329581488710295 y[1] (numeric) = 3.0965606572570243295814887102962 absolute error = 1.2e-30 relative error = 3.8752672168320331538865201815914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.774 y[1] (analytic) = 3.097395747837220570037251925442 y[1] (numeric) = 3.0973957478372205700372519254412 absolute error = 8e-31 relative error = 2.5828149359299853804054342979963e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.775 y[1] (analytic) = 3.09823092414682746491174061554 y[1] (numeric) = 3.0982309241468274649117406155396 absolute error = 4e-31 relative error = 1.2910593490062385771780553772474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.6MB, time=165.06 x[1] = 3.776 y[1] (analytic) = 3.099066186182037871405989826489 y[1] (numeric) = 3.0990661861820378714059898264887 absolute error = 3e-31 relative error = 9.6803353648148940681233229717256e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.777 y[1] (analytic) = 3.099901533939046006519227936778 y[1] (numeric) = 3.0999015339390460065192279367782 absolute error = 2e-31 relative error = 6.4518178338993860642370429926050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.778 y[1] (analytic) = 3.100736967414047446443927484129 y[1] (numeric) = 3.1007369674140474464439274841293 absolute error = 3e-31 relative error = 9.6751192749572045754771518250630e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.779 y[1] (analytic) = 3.101572486603239125961228334655 y[1] (numeric) = 3.1015724866032391259612283346547 absolute error = 3e-31 relative error = 9.6725129364476706124509492020385e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (analytic) = 3.102408091502819337836732901975 y[1] (numeric) = 3.1024080915028193378367329019746 absolute error = 4e-31 relative error = 1.2893210312839222326508703771090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2472.0MB, alloc=4.6MB, time=165.42 x[1] = 3.781 y[1] (analytic) = 3.103243782108987732216673124005 y[1] (numeric) = 3.1032437821089877322166731240056 absolute error = 6e-31 relative error = 1.9334607337623842854435639476589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.782 y[1] (analytic) = 3.104079558417945316024448905416 y[1] (numeric) = 3.1040795584179453160244489054171 absolute error = 1.1e-30 relative error = 3.5437236040452405564290671747439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.783 y[1] (analytic) = 3.10491542042589445235753773403 y[1] (numeric) = 3.1049154204258944523575377340301 absolute error = 1e-31 relative error = 3.2206996474732705882955280579596e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.784 y[1] (analytic) = 3.105751368129038859884775179712 y[1] (numeric) = 3.1057513681290388598847751797124 absolute error = 4e-31 relative error = 1.2879331040622459063001041491194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.785 y[1] (analytic) = 3.106587401523583612244005984603 y[1] (numeric) = 3.106587401523583612244005984603 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.786 y[1] (analytic) = 3.107423520605735137440105453776 y[1] (numeric) = 3.1074235206057351374401054537762 absolute error = 2e-31 relative error = 6.4362002370701523700915644577353e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2475.8MB, alloc=4.6MB, time=165.79 x[1] = 3.787 y[1] (analytic) = 3.108259725371701217243370855736 y[1] (numeric) = 3.1082597253717012172433708557356 absolute error = 4e-31 relative error = 1.2868937455095262440886365690991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.788 y[1] (analytic) = 3.109096015817690986588282542404 y[1] (numeric) = 3.1090960158176909865882825424038 absolute error = 2e-31 relative error = 6.4327379721465463140711601854725e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.789 y[1] (analytic) = 3.109932391939914932972634498554 y[1] (numeric) = 3.1099323919399149329726344985531 absolute error = 9e-31 relative error = 2.8939535866842353514513337626269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (analytic) = 3.110768853734584895857034030899 y[1] (numeric) = 3.1107688537345848958570340308986 absolute error = 4e-31 relative error = 1.2858557443758196816208508973651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.791 y[1] (analytic) = 3.111605401197914066064770307353 y[1] (numeric) = 3.1116054011979140660647703073523 absolute error = 7e-31 relative error = 2.2496425791345912662436069090641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.792 y[1] (analytic) = 3.112442034326116985182051457213 y[1] (numeric) = 3.1124420343261169851820514572133 absolute error = 3e-31 relative error = 9.6387337239182926473043508881573e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.6MB, time=166.15 x[1] = 3.793 y[1] (analytic) = 3.113278753115409544958609943346 y[1] (numeric) = 3.1132787531154095449586099433455 absolute error = 5e-31 relative error = 1.6060238727407810487358315824093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.794 y[1] (analytic) = 3.114115557562008986708675917671 y[1] (numeric) = 3.1141155575620089867086759176699 absolute error = 1.1e-30 relative error = 3.5323030878827512696668654610709e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.795 y[1] (analytic) = 3.114952447662133900712318271574 y[1] (numeric) = 3.1149524476621339007123182715743 absolute error = 3e-31 relative error = 9.6309656420328047312288559876213e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.796 y[1] (analytic) = 3.115789423412004225617153093119 y[1] (numeric) = 3.1157894234120042256171530931197 absolute error = 7e-31 relative error = 2.2466216578701000306959783851086e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.797 y[1] (analytic) = 3.116626484807841247840419243194 y[1] (numeric) = 3.1166264848078412478404192431947 absolute error = 7e-31 relative error = 2.2460182617717798372972806898185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.6MB, time=166.52 x[1] = 3.798 y[1] (analytic) = 3.117463631845867600971420763048 y[1] (numeric) = 3.1174636318458676009714207630478 absolute error = 2e-31 relative error = 6.4154717943438809163828623246572e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.799 y[1] (analytic) = 3.118300864522307265174335825898 y[1] (numeric) = 3.1183008645223072651743358258983 absolute error = 3e-31 relative error = 9.6206239562441009579707586975137e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (analytic) = 3.119138182833385566591391945603 y[1] (numeric) = 3.1191381828333855665913919456036 absolute error = 6e-31 relative error = 1.9236082687909889569021136415283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.801 y[1] (analytic) = 3.119975586775329176746407155631 y[1] (numeric) = 3.1199755867753291767464071556318 absolute error = 8e-31 relative error = 2.5641226277249340354194658311710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.802 y[1] (analytic) = 3.120813076344366111948696871864 y[1] (numeric) = 3.1208130763443661119486968718639 absolute error = 1e-31 relative error = 3.2042931618684841803397883834525e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.803 y[1] (analytic) = 3.121650651536725732697346153024 y[1] (numeric) = 3.1216506515367257326973461530226 absolute error = 1.4e-30 relative error = 4.4848067778206001425392089046569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.6MB, time=166.88 x[1] = 3.804 y[1] (analytic) = 3.122488312348638743085847072796 y[1] (numeric) = 3.1224883123486387430858470727963 absolute error = 3e-31 relative error = 9.6077221110348789799699652306645e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.805 y[1] (analytic) = 3.123326058776337190207100918002 y[1] (numeric) = 3.1233260587763371902071009180016 absolute error = 4e-31 relative error = 1.2806860137961797834531246065151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.806 y[1] (analytic) = 3.124163890816054463558784927397 y[1] (numeric) = 3.1241638908160544635587849273981 absolute error = 1.1e-30 relative error = 3.5209420454337046728659382801640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.807 y[1] (analytic) = 3.12500180846402529444908328604 y[1] (numeric) = 3.1250018084640252944490832860415 absolute error = 1.5e-30 relative error = 4.7999972222008646836640364313606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.808 y[1] (analytic) = 3.125839811716485755402782090334 y[1] (numeric) = 3.1258398117164857554027820903338 absolute error = 2e-31 relative error = 6.3982805276951932527662717924647e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.809 y[1] (analytic) = 3.126677900569673259567727999199 y[1] (numeric) = 3.126677900569673259567727999199 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.6MB, time=167.25 x[1] = 3.81 y[1] (analytic) = 3.127516075019826560121650287086 y[1] (numeric) = 3.1275160750198265601216502870852 absolute error = 8e-31 relative error = 2.5579404895462559178361401673587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.811 y[1] (analytic) = 3.128354335063185749679346014763 y[1] (numeric) = 3.1283543350631857496793460147635 absolute error = 5e-31 relative error = 1.5982844219272274988631388376588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.812 y[1] (analytic) = 3.129192680695992259700228034165 y[1] (numeric) = 3.1291926806959922597002280341653 absolute error = 3e-31 relative error = 9.5871373421873870090845803013480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.813 y[1] (analytic) = 3.130031111914488859896235543769 y[1] (numeric) = 3.1300311119144888598962355437697 absolute error = 7e-31 relative error = 2.2363994956326290569469042100168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.814 y[1] (analytic) = 3.130869628714919657640106911321 y[1] (numeric) = 3.130869628714919657640106911322 absolute error = 1.0e-30 relative error = 3.1940007684397090660732056527077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.6MB, time=167.61 x[1] = 3.815 y[1] (analytic) = 3.131708231093530097374014480933 y[1] (numeric) = 3.1317082310935300973740144809337 absolute error = 7e-31 relative error = 2.2352018398456421703189823007725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.816 y[1] (analytic) = 3.132546919046566960018561081886 y[1] (numeric) = 3.1325469190465669600185610818849 absolute error = 1.1e-30 relative error = 3.5115196305975837821944431461874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.817 y[1] (analytic) = 3.133385692570278362382137956716 y[1] (numeric) = 3.1333856925702783623821379567169 absolute error = 9e-31 relative error = 2.8722924283915424790464182986126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.818 y[1] (analytic) = 3.134224551660913756570643826473 y[1] (numeric) = 3.134224551660913756570643826473 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.819 y[1] (analytic) = 3.135063496314723929397564811213 y[1] (numeric) = 3.1350634963147239293975648112131 absolute error = 1e-31 relative error = 3.1897280586996175632343205645312e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (analytic) = 3.135902526527961001794414924195 y[1] (numeric) = 3.1359025265279610017944149241956 absolute error = 6e-31 relative error = 1.9133247762784062805267110551576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2498.7MB, alloc=4.6MB, time=167.98 x[1] = 3.821 y[1] (analytic) = 3.136741642296878428221536858388 y[1] (numeric) = 3.136741642296878428221536858388 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.822 y[1] (analytic) = 3.137580843617730996079262784235 y[1] (numeric) = 3.1375808436177309960792627842353 absolute error = 3e-31 relative error = 9.5615066177574698409115112106544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.823 y[1] (analytic) = 3.138420130486774825119434877881 y[1] (numeric) = 3.1384201304867748251194348778814 absolute error = 4e-31 relative error = 1.2745266196656699775890677221011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.824 y[1] (analytic) = 3.139259502900267366857285299307 y[1] (numeric) = 3.139259502900267366857285299307 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.825 y[1] (analytic) = 3.14009896085446740398367534011 y[1] (numeric) = 3.1400989608544674039836753401117 absolute error = 1.7e-30 relative error = 5.4138421151459660947417199874433e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.826 y[1] (analytic) = 3.140938504345635049777693460938 y[1] (numeric) = 3.1409385043456350497776934609373 absolute error = 7e-31 relative error = 2.2286332541420894480105287512179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2502.5MB, alloc=4.6MB, time=168.34 TOP MAIN SOLVE Loop x[1] = 3.827 y[1] (analytic) = 3.141778133370031747519611938792 y[1] (numeric) = 3.1417781333700317475196119387921 absolute error = 1e-31 relative error = 3.1829109426239112161080086181985e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.828 y[1] (analytic) = 3.142617847923920269904201844803 y[1] (numeric) = 3.1426178479239202699042018448036 absolute error = 6e-31 relative error = 1.9092362769987215386817115977188e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.829 y[1] (analytic) = 3.143457648003564718454406073191 y[1] (numeric) = 3.1434576480035647184544060731916 absolute error = 6e-31 relative error = 1.9087262091190089189513855105332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (analytic) = 3.144297533605230522935370142519 y[1] (numeric) = 3.1442975336052305229353701425185 absolute error = 5e-31 relative error = 1.5901803015018853639002900817325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.831 y[1] (analytic) = 3.145137504725184440768830490539 y[1] (numeric) = 3.1451375047251844407688304905388 absolute error = 2e-31 relative error = 6.3590224497187948260096920923873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.6MB, time=168.71 x[1] = 3.832 y[1] (analytic) = 3.145977561359694556447859984234 y[1] (numeric) = 3.1459775613596945564478599842339 absolute error = 1e-31 relative error = 3.1786622138773266682183504412529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.833 y[1] (analytic) = 3.146817703505030280951970366882 y[1] (numeric) = 3.1468177035050302809519703668825 absolute error = 5e-31 relative error = 1.5889067849182472836769361540088e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.834 y[1] (analytic) = 3.14765793115746235116257136428 y[1] (numeric) = 3.1476579311574623511625713642804 absolute error = 4e-31 relative error = 1.2707861170064032063309414406401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.835 y[1] (analytic) = 3.148498244313262829278786172487 y[1] (numeric) = 3.1484982443132628292787861724877 absolute error = 7e-31 relative error = 2.2232821671866012125436821452187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.836 y[1] (analytic) = 3.149338642968705102233623049743 y[1] (numeric) = 3.1493386429687051022336230497437 absolute error = 7e-31 relative error = 2.2226888860073466610221447007560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.837 y[1] (analytic) = 3.150179127120063881110502735454 y[1] (numeric) = 3.1501791271200638811105027354541 absolute error = 1e-31 relative error = 3.1744226586702497998346140151167e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.6MB, time=169.08 x[1] = 3.838 y[1] (analytic) = 3.151019696763615200560141419415 y[1] (numeric) = 3.1510196967636152005601414194156 absolute error = 6e-31 relative error = 1.9041455076153752947873014195807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.839 y[1] (analytic) = 3.151860351895636418217788984708 y[1] (numeric) = 3.1518603518956364182177889847077 absolute error = 3e-31 relative error = 9.5181881969983142870905687839556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.84 y[1] (analytic) = 3.152701092512406214120822247941 y[1] (numeric) = 3.1527010925124062141208222479422 absolute error = 1.2e-30 relative error = 3.8062599808461793539591972944764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.841 y[1] (analytic) = 3.153541918610204590126692920822 y[1] (numeric) = 3.1535419186102045901266929208223 absolute error = 3e-31 relative error = 9.5131128027691734336912155207837e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.842 y[1] (analytic) = 3.154382830185312869331230017226 y[1] (numeric) = 3.1543828301853128693312300172262 absolute error = 2e-31 relative error = 6.3403844988672618268885437706703e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.843 y[1] (analytic) = 3.155223827234013695487296430291 y[1] (numeric) = 3.1552238272340136954872964302899 absolute error = 1.1e-30 relative error = 3.4862819889525898500557952655080e-29 % Correct digits = 30 h = 0.001 memory used=2513.9MB, alloc=4.6MB, time=169.44 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.844 y[1] (analytic) = 3.156064909752591032423799404224 y[1] (numeric) = 3.1560649097525910324237994042247 absolute error = 7e-31 relative error = 2.2179518483188424590818351311542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.845 y[1] (analytic) = 3.156906077737330163465054625866 y[1] (numeric) = 3.156906077737330163465054625867 absolute error = 1.0e-30 relative error = 3.1676583825285562738674943057156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.846 y[1] (analytic) = 3.157747331184517690850503661216 y[1] (numeric) = 3.1577473311845176908505036612166 absolute error = 6e-31 relative error = 1.9000886932107108546607171717468e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.847 y[1] (analytic) = 3.158588670090441535154784462481 y[1] (numeric) = 3.1585886700904415351547844624808 absolute error = 2e-31 relative error = 6.3319419174093755780104683979589e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.848 y[1] (analytic) = 3.159430094451390934708154671399 y[1] (numeric) = 3.1594300944513909347081546714003 absolute error = 1.3e-30 relative error = 4.1146661300817111889959831625305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.6MB, time=169.81 x[1] = 3.849 y[1] (analytic) = 3.160271604263656445017267444895 y[1] (numeric) = 3.1602716042636564450172674448939 absolute error = 1.1e-30 relative error = 3.4807134884101206687050736966062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (analytic) = 3.161113199523529938186299529315 y[1] (numeric) = 3.1611131995235299381862995293161 absolute error = 1.1e-30 relative error = 3.4797868047427134953453295976036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.851 y[1] (analytic) = 3.161954880227304602338431309882 y[1] (numeric) = 3.1619548802273046023384313098828 absolute error = 8e-31 relative error = 2.5300803784476839485112075367999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.852 y[1] (analytic) = 3.162796646371274941037678562075 y[1] (numeric) = 3.1627966463712749410376785620763 absolute error = 1.3e-30 relative error = 4.1102863868643275600808177691968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.853 y[1] (analytic) = 3.163638497951736772711075632102 y[1] (numeric) = 3.1636384979517367727110756321019 absolute error = 1e-31 relative error = 3.1609174077488280948627207258552e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.854 y[1] (analytic) = 3.164480434964987230071209773723 y[1] (numeric) = 3.1644804349649872300712097737237 absolute error = 7e-31 relative error = 2.2120534930965531850488329455430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2521.6MB, alloc=4.6MB, time=170.16 x[1] = 3.855 y[1] (analytic) = 3.165322457407324759539106369066 y[1] (numeric) = 3.1653224574073247595391063690668 absolute error = 8e-31 relative error = 2.5273886334325312097658502704749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.856 y[1] (analytic) = 3.166164565275049120667464761231 y[1] (numeric) = 3.1661645652750491206674647612298 absolute error = 1.2e-30 relative error = 3.7900746321306717375786162758054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.857 y[1] (analytic) = 3.167006758564461385564244426808 y[1] (numeric) = 3.1670067585644613855642444268083 absolute error = 3e-31 relative error = 9.4726668703411226927917831029059e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.858 y[1] (analytic) = 3.167849037271863938316601216688 y[1] (numeric) = 3.1678490372718639383166012166877 absolute error = 3e-31 relative error = 9.4701482447647988099933543188060e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.859 y[1] (analytic) = 3.168691401393560474415173393719 y[1] (numeric) = 3.1686914013935604744151733937191 absolute error = 1e-31 relative error = 3.1558769009825616621015395129003e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2525.4MB, alloc=4.6MB, time=170.53 x[1] = 3.86 y[1] (analytic) = 3.16953385092585600017871719615 y[1] (numeric) = 3.16953385092585600017871719615 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.861 y[1] (analytic) = 3.170376385865056832179091655935 y[1] (numeric) = 3.1703763858650568321790916559353 absolute error = 3e-31 relative error = 9.4625988679934966772319328473277e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.862 y[1] (analytic) = 3.171219006207470596666592401312 y[1] (numeric) = 3.171219006207470596666592401312 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.863 y[1] (analytic) = 3.172061711949406228995634173275 y[1] (numeric) = 3.1720617119494062289956341732742 absolute error = 8e-31 relative error = 2.5220190294102318691719810507663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.864 y[1] (analytic) = 3.172904503087173973050781785843 y[1] (numeric) = 3.1729045030871739730507817858427 absolute error = 3e-31 relative error = 9.4550592275344521838277860126103e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.865 y[1] (analytic) = 3.173747379617085380673129260274 y[1] (numeric) = 3.1737473796170853806731292602756 absolute error = 1.6e-30 relative error = 5.0413590264800502403296799580459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2529.2MB, alloc=4.6MB, time=170.89 x[1] = 3.866 y[1] (analytic) = 3.174590341535453311087026863623 y[1] (numeric) = 3.1745903415354533110870268636227 absolute error = 3e-31 relative error = 9.4500382009887636571063566529816e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.867 y[1] (analytic) = 3.175433388838591930327155782281 y[1] (numeric) = 3.1754333888385919303271557822808 absolute error = 2e-31 relative error = 6.2983528706029503108441489608319e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.868 y[1] (analytic) = 3.17627652152281671066595016146 y[1] (numeric) = 3.1762765215228167106659501614592 absolute error = 8e-31 relative error = 2.5186723970004109041346028993944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.869 y[1] (analytic) = 3.177119739584444430041366241721 y[1] (numeric) = 3.1771197395844444300413662417207 absolute error = 3e-31 relative error = 9.4425147488850670759786156393621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (analytic) = 3.177963043019793171484998324015 y[1] (numeric) = 3.1779630430197931714849983240151 absolute error = 1e-31 relative error = 3.1466696952201521958088611153593e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.871 y[1] (analytic) = 3.178806431825182322550541294876 y[1] (numeric) = 3.1788064318251823225505412948765 absolute error = 5e-31 relative error = 1.5729174164056094905862552898465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.6MB, time=171.25 x[1] = 3.872 y[1] (analytic) = 3.179649905996932574742599443706 y[1] (numeric) = 3.1796499059969325747425994437077 absolute error = 1.7e-30 relative error = 5.3465005590512957532040762159939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.873 y[1] (analytic) = 3.180493465531365922945841304328 y[1] (numeric) = 3.1804934655313659229458413043278 absolute error = 2e-31 relative error = 6.2883323662665014997628974048235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.874 y[1] (analytic) = 3.181337110424805664854500253211 y[1] (numeric) = 3.1813371104248056648545002532122 absolute error = 1.2e-30 relative error = 3.7719988745228051328008785240073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.875 y[1] (analytic) = 3.182180840673576400402220597104 y[1] (numeric) = 3.1821808406735764004022205971044 absolute error = 4e-31 relative error = 1.2569995862187752797253586036126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.876 y[1] (analytic) = 3.183024656274004031192248882933 y[1] (numeric) = 3.1830246562740040311922488829334 absolute error = 4e-31 relative error = 1.2566663573012763845319617548644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.6MB, time=171.61 x[1] = 3.877 y[1] (analytic) = 3.18386855722241575992797016322 y[1] (numeric) = 3.1838685572224157599279701632189 absolute error = 1.1e-30 relative error = 3.4549164961748049079450740481230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.878 y[1] (analytic) = 3.1847125435151400898437889504 y[1] (numeric) = 3.1847125435151400898437889504006 absolute error = 6e-31 relative error = 1.8840004923576161571016725182042e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.879 y[1] (analytic) = 3.185556615148506824136354593776 y[1] (numeric) = 3.1855566151485068241363545937759 absolute error = 1e-31 relative error = 3.1391688198057067047740371460890e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (analytic) = 3.186400772118847065396130812983 y[1] (numeric) = 3.186400772118847065396130812984 absolute error = 1.0e-30 relative error = 3.1383371757565648231137671402257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.881 y[1] (analytic) = 3.187245014422493215039309122223 y[1] (numeric) = 3.1872450144224932150393091222225 absolute error = 5e-31 relative error = 1.5687529441177792442653101306921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.882 y[1] (analytic) = 3.188089342055778972740065879633 y[1] (numeric) = 3.1880893420557789727400658796325 absolute error = 5e-31 relative error = 1.5683374785149040991143884659285e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.6MB, time=171.98 x[1] = 3.883 y[1] (analytic) = 3.188933755015039335863162696542 y[1] (numeric) = 3.1889337550150393358631626965407 absolute error = 1.3e-30 relative error = 4.0765976965045768653990970969719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.884 y[1] (analytic) = 3.189778253296610598896889941493 y[1] (numeric) = 3.1897782532966105988968899414927 absolute error = 3e-31 relative error = 9.4050424881401198501876121281955e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.885 y[1] (analytic) = 3.190622836896830352886353074264 y[1] (numeric) = 3.1906228368968303528863530742646 absolute error = 6e-31 relative error = 1.8805105795066468437244437723542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.886 y[1] (analytic) = 3.191467505812037484867101545285 y[1] (numeric) = 3.1914675058120374848671015452855 absolute error = 5e-31 relative error = 1.5666773955537420482419726625770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.887 y[1] (analytic) = 3.192312260038572177299099996156 y[1] (numeric) = 3.1923122600385721772990999961557 absolute error = 3e-31 relative error = 9.3975769148715780695769543357006e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.888 y[1] (analytic) = 3.19315709957277590750104149719 y[1] (numeric) = 3.1931570995727759075010414971904 absolute error = 4e-31 relative error = 1.2526787362059870265288059391415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.6MB, time=172.35 x[1] = 3.889 y[1] (analytic) = 3.19400202441099144708500255817 y[1] (numeric) = 3.19400202441099144708500255817 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (analytic) = 3.194847034549562861391439648723 y[1] (numeric) = 3.1948470345495628613914396487227 absolute error = 3e-31 relative error = 9.3901209277237459983345475857619e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.891 y[1] (analytic) = 3.195692129984835508924526965017 y[1] (numeric) = 3.1956921299848355089245269650161 absolute error = 9e-31 relative error = 2.8162913177880835550183395126135e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.892 y[1] (analytic) = 3.196537310713156040787835179677 y[1] (numeric) = 3.1965373107131560407878351796787 absolute error = 1.7e-30 relative error = 5.3182548325103874478931455291714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.893 y[1] (analytic) = 3.197382576730872400120350912121 y[1] (numeric) = 3.1973825767308724001203509121217 absolute error = 7e-31 relative error = 2.1892907188970394382103220349767e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2548.3MB, alloc=4.6MB, time=172.71 x[1] = 3.894 y[1] (analytic) = 3.198227928034333821532836656676 y[1] (numeric) = 3.1982279280343338215328366566763 absolute error = 3e-31 relative error = 9.3801944936545942376348250225923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.895 y[1] (analytic) = 3.19907336461989083054453090621 y[1] (numeric) = 3.1990733646198908305445309062096 absolute error = 4e-31 relative error = 1.2503620717917715177586713121228e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.896 y[1] (analytic) = 3.199918886483895243020188209127 y[1] (numeric) = 3.1999188864838952430201882091281 absolute error = 1.1e-30 relative error = 3.4375871358685958696159878402656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.897 y[1] (analytic) = 3.200764493622700164607458897922 y[1] (numeric) = 3.2007644936227001646074588979226 absolute error = 6e-31 relative error = 1.8745521615084712389876561536719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.898 y[1] (analytic) = 3.201610186032659990174608227656 y[1] (numeric) = 3.2016101860326599901746082276558 absolute error = 2e-31 relative error = 6.2468566870670175091634986147158e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.899 y[1] (analytic) = 3.202455963710130403248574663038 y[1] (numeric) = 3.202455963710130403248574663038 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2552.1MB, alloc=4.6MB, time=173.08 x[1] = 3.9 y[1] (analytic) = 3.203301826651468375453367052982 y[1] (numeric) = 3.203301826651468375453367052982 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.901 y[1] (analytic) = 3.204147774853032165948800431772 y[1] (numeric) = 3.2041477748530321659488004317726 absolute error = 6e-31 relative error = 1.8725728092472913393884414391049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.902 y[1] (analytic) = 3.204993808311181320869570186231 y[1] (numeric) = 3.2049938083111813208695701862313 absolute error = 3e-31 relative error = 9.3603924981708484781451969461094e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.903 y[1] (analytic) = 3.205839927022276672764664328502 y[1] (numeric) = 3.2058399270222766727646643285012 absolute error = 8e-31 relative error = 2.4954458682005209703635222473768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.904 y[1] (analytic) = 3.206686130982680340037113614319 y[1] (numeric) = 3.2066861309826803400371136143197 absolute error = 7e-31 relative error = 2.1829389326154190299308233777149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.905 y[1] (analytic) = 3.207532420188755726384079246892 y[1] (numeric) = 3.207532420188755726384079246893 absolute error = 1.0e-30 relative error = 3.1176613951142927368277698595432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2555.9MB, alloc=4.6MB, time=173.44 x[1] = 3.906 y[1] (analytic) = 3.208378794636867520237277906728 y[1] (numeric) = 3.2083787946368675202372779067272 absolute error = 8e-31 relative error = 2.4934711616261820999032474658754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.907 y[1] (analytic) = 3.209225254323381694203743848015 y[1] (numeric) = 3.2092252543233816942037438480155 absolute error = 5e-31 relative error = 1.5580084299985284218766654478840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.908 y[1] (analytic) = 3.210071799244665504506927802424 y[1] (numeric) = 3.2100717992446655045069278024239 absolute error = 1e-31 relative error = 3.1151951187985933315947065744556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.909 y[1] (analytic) = 3.210918429397087490428132431361 y[1] (numeric) = 3.2109184293970874904281324313601 absolute error = 9e-31 relative error = 2.8029363554059283256871811467755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (analytic) = 3.211765144777017473748284068053 y[1] (numeric) = 3.211765144777017473748284068053 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.6MB, time=173.81 x[1] = 3.911 y[1] (analytic) = 3.212611945380826558190040491012 y[1] (numeric) = 3.212611945380826558190040491012 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.912 y[1] (analytic) = 3.213458831204887128860234470678 y[1] (numeric) = 3.2134588312048871288602344706779 absolute error = 1e-31 relative error = 3.1119116582086404688353514342751e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.913 y[1] (analytic) = 3.214305802245572851692652831317 y[1] (numeric) = 3.2143058022455728516926528313176 absolute error = 6e-31 relative error = 1.8666550008428850194125560214173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.914 y[1] (analytic) = 3.215152858499258672891150770458 y[1] (numeric) = 3.2151528584992586728911507704581 absolute error = 1e-31 relative error = 3.1102720275227330156408170224359e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.915 y[1] (analytic) = 3.215999999962320818373101178394 y[1] (numeric) = 3.2159999999623208183731011783941 absolute error = 1e-31 relative error = 3.1094527363548388166708244739613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.916 y[1] (analytic) = 3.216847226631136793213178700546 y[1] (numeric) = 3.216847226631136793213178700546 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=174.18 x[1] = 3.917 y[1] (analytic) = 3.217694538502085381087478285685 y[1] (numeric) = 3.2176945385020853810874782856853 absolute error = 3e-31 relative error = 9.3234456039962467875715958563675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.918 y[1] (analytic) = 3.218541935571546643717967963284 y[1] (numeric) = 3.2185419355715466437179679632838 absolute error = 2e-31 relative error = 6.2139939141257181209595042836120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.919 y[1] (analytic) = 3.219389417835901920317275593485 y[1] (numeric) = 3.2193894178359019203172755934845 absolute error = 5e-31 relative error = 1.5530895306728808442516796059218e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.92 y[1] (analytic) = 3.220236985291533827033809333432 y[1] (numeric) = 3.2202369852915338270338093334308 absolute error = 1.2e-30 relative error = 3.7264338167688048239124193873717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.921 y[1] (analytic) = 3.221084637934826256397211563931 y[1] (numeric) = 3.2210846379348262563972115639302 absolute error = 8e-31 relative error = 2.4836354517927659062456269875217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.922 y[1] (analytic) = 3.221932375762164376764146020669 y[1] (numeric) = 3.2219323757621643767641460206685 absolute error = 5e-31 relative error = 1.5518637317200752067587039216344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.6MB, time=174.54 x[1] = 3.923 y[1] (analytic) = 3.22278019876993463176441787443 y[1] (numeric) = 3.2227801987699346317644178744289 absolute error = 1.1e-30 relative error = 3.4132020558517958015547523692177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.924 y[1] (analytic) = 3.22362810695452473974742650501 y[1] (numeric) = 3.2236281069545247397474265050097 absolute error = 3e-31 relative error = 9.3062844114304670646036987916268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.925 y[1] (analytic) = 3.224476100312323693228950713772 y[1] (numeric) = 3.2244761003123236932289507137715 absolute error = 5e-31 relative error = 1.5506394975344052155521854073462e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.926 y[1] (analytic) = 3.225324178839721758338266119985 y[1] (numeric) = 3.2253241788397217583382661199849 absolute error = 1e-31 relative error = 3.1004635334353895480083928294421e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.927 y[1] (analytic) = 3.226172342533110474265594486387 y[1] (numeric) = 3.2261723425331104742655944863862 absolute error = 8e-31 relative error = 2.4797187349633648211216363418257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.6MB, time=174.91 x[1] = 3.928 y[1] (analytic) = 3.227020591388882652709884719585 y[1] (numeric) = 3.2270205913888826527098847195859 absolute error = 9e-31 relative error = 2.7889502856027563583212380864026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.929 y[1] (analytic) = 3.227868925403432377326925291216 y[1] (numeric) = 3.2278689254034323773269252912147 absolute error = 1.3e-30 relative error = 4.0274249978645605501486133991378e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (analytic) = 3.228717344573155003177787825924 y[1] (numeric) = 3.2287173445731550031777878259251 absolute error = 1.1e-30 relative error = 3.4069256692565106458606113664128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.931 y[1] (analytic) = 3.229565848894447156177601602607 y[1] (numeric) = 3.2295658488944471561776016026067 absolute error = 3e-31 relative error = 9.2891742740807322555357763622431e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.932 y[1] (analytic) = 3.230414438363706732544658715408 y[1] (numeric) = 3.2304144383637067325446587154089 absolute error = 9e-31 relative error = 2.7860202372543710389103077223180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.933 y[1] (analytic) = 3.231263112977332898249849641401 y[1] (numeric) = 3.2312631129773328982498496414003 absolute error = 7e-31 relative error = 2.1663355026357163590296606412767e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2575.0MB, alloc=4.6MB, time=175.27 x[1] = 3.934 y[1] (analytic) = 3.232111872731726088466428961932 y[1] (numeric) = 3.2321118727317260884664289619309 absolute error = 1.1e-30 relative error = 3.4033475427640401349453773930249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.935 y[1] (analytic) = 3.232960717623288007020110984999 y[1] (numeric) = 3.2329607176232880070201109849996 absolute error = 6e-31 relative error = 1.8558839788226383740434059429689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.936 y[1] (analytic) = 3.233809647648421625839495016162 y[1] (numeric) = 3.2338096476484216258394950161638 absolute error = 1.8e-30 relative error = 5.5661903331537565341564338432986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.937 y[1] (analytic) = 3.234658662803531184406820025765 y[1] (numeric) = 3.234658662803531184406820025764 absolute error = 1.0e-30 relative error = 3.0915163058759460045699573745684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.938 y[1] (analytic) = 3.23550776308502218920904846047 y[1] (numeric) = 3.2355077630850221892090484604713 absolute error = 1.3e-30 relative error = 4.0179164916002669296717140764248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2578.8MB, alloc=4.6MB, time=175.63 x[1] = 3.939 y[1] (analytic) = 3.236356948489301413189278947401 y[1] (numeric) = 3.2363569484893014131892789474006 absolute error = 4e-31 relative error = 1.2359576102590165201574110066905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (analytic) = 3.237206219012776895198487639267 y[1] (numeric) = 3.2372062190127768951984876392663 absolute error = 7e-31 relative error = 2.1623583813992332422302474989192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.941 y[1] (analytic) = 3.238055574651857939447597949293 y[1] (numeric) = 3.2380555746518579394475979492919 absolute error = 1.1e-30 relative error = 3.3971004346281714282235295426025e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.942 y[1] (analytic) = 3.23890501540295511495987842482 y[1] (numeric) = 3.2389050154029551149598784248197 absolute error = 3e-31 relative error = 9.2623895598456359023882100666595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.943 y[1] (analytic) = 3.239754541262480255023668508798 y[1] (numeric) = 3.2397545412624802550236685087986 absolute error = 6e-31 relative error = 1.8519921566841593097134910435400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.944 y[1] (analytic) = 3.240604152226846456645431938563 y[1] (numeric) = 3.2406041522268464566454319385641 absolute error = 1.1e-30 relative error = 3.3944287803374961110785998200748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.6MB, time=175.99 x[1] = 3.945 y[1] (analytic) = 3.241453848292468080003137531556 y[1] (numeric) = 3.2414538482924680800031375315556 absolute error = 4e-31 relative error = 1.2340141761102409634605367358793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.946 y[1] (analytic) = 3.24230362945576074789996710785 y[1] (numeric) = 3.2423036294557607478999671078502 absolute error = 2e-31 relative error = 6.1684537556271726033801996137565e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.947 y[1] (analytic) = 3.243153495713141345218350299625 y[1] (numeric) = 3.2431534957131413452183502996251 absolute error = 1e-31 relative error = 3.0834186581727260091460276515959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.948 y[1] (analytic) = 3.244003447061028018374325997893 y[1] (numeric) = 3.2440034470610280183743259978921 absolute error = 9e-31 relative error = 2.7743497030355303859041620111683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.949 y[1] (analytic) = 3.244853483495840174772230187081 y[1] (numeric) = 3.2448534834958401747722301870819 absolute error = 9e-31 relative error = 2.7736229218904076864470236223475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.95 y[1] (analytic) = 3.245703605013998482259709918285 y[1] (numeric) = 3.2457036050139984822597099182852 absolute error = 2e-31 relative error = 6.1619921083070496397921680369280e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.6MB, time=176.36 x[1] = 3.951 y[1] (analytic) = 3.246553811611924868583063172193 y[1] (numeric) = 3.246553811611924868583063172192 absolute error = 1.0e-30 relative error = 3.0801892037744990964726441894536e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.952 y[1] (analytic) = 3.247404103286042520842904363 y[1] (numeric) = 3.2474041032860425208429043629999 absolute error = 1e-31 relative error = 3.0793826952060008563779469015420e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.953 y[1] (analytic) = 3.248254480032775884950155234795 y[1] (numeric) = 3.2482544800327758849501552347951 absolute error = 1e-31 relative error = 3.0785765282463635453525023264142e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.954 y[1] (analytic) = 3.24910494184855066508236090214 y[1] (numeric) = 3.249104941848550665082360902139 absolute error = 1.0e-30 relative error = 3.0777707026940733162542498575086e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.955 y[1] (analytic) = 3.249955488729793823140330786825 y[1] (numeric) = 3.2499554887297938231403307868256 absolute error = 6e-31 relative error = 1.8461791310086613327115498727144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.6MB, time=176.72 x[1] = 3.956 y[1] (analytic) = 3.250806120672933578205104203006 y[1] (numeric) = 3.2508061206729335782051042030048 absolute error = 1.2e-30 relative error = 3.6913920900074896845319221581834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.957 y[1] (analytic) = 3.251656837674399405995240343096 y[1] (numeric) = 3.2516568376743994059952403430961 absolute error = 1e-31 relative error = 3.0753552724684342916173959706001e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.958 y[1] (analytic) = 3.252507639730622038324432417148 y[1] (numeric) = 3.2525076397306220383244324171485 absolute error = 5e-31 relative error = 1.5372754052667215610920844893067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.959 y[1] (analytic) = 3.253358526838033462559445698532 y[1] (numeric) = 3.2533585268380334625594456985315 absolute error = 5e-31 relative error = 1.5368733445002577344570025323829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (analytic) = 3.254209498993066921078379229069 y[1] (numeric) = 3.2542094989930669210783792290707 absolute error = 1.7e-30 relative error = 5.2240029430373863046396501763374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.961 y[1] (analytic) = 3.255060556192156910729250936973 y[1] (numeric) = 3.2550605561921569107292509369727 absolute error = 3e-31 relative error = 9.2164183990158005258495396719000e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.6MB, time=177.08 x[1] = 3.962 y[1] (analytic) = 3.255911698431739182288905921111 y[1] (numeric) = 3.2559116984317391822889059211109 absolute error = 1e-31 relative error = 3.0713363648088664317711601400079e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.963 y[1] (analytic) = 3.256762925708250739922247655472 y[1] (numeric) = 3.2567629257082507399222476554734 absolute error = 1.4e-30 relative error = 4.2987470440315852052160213216131e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.964 y[1] (analytic) = 3.257614238018129840641791867804 y[1] (numeric) = 3.2576142380181298406417918678032 absolute error = 8e-31 relative error = 2.4557849442808940136728600798067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.965 y[1] (analytic) = 3.258465635357815993767542846688 y[1] (numeric) = 3.2584656353578159937675428466878 absolute error = 2e-31 relative error = 6.1378581940465289487986223323042e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.966 y[1] (analytic) = 3.259317117723749960387191931585 y[1] (numeric) = 3.2593171177237499603871919315845 absolute error = 5e-31 relative error = 1.5340636763482261290537508980311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.967 y[1] (analytic) = 3.260168685112373752816637940494 y[1] (numeric) = 3.2601686851123737528166379404942 absolute error = 2e-31 relative error = 6.1346518943422788396021480912790e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.6MB, time=177.44 x[1] = 3.968 y[1] (analytic) = 3.261020337520130634060829290224 y[1] (numeric) = 3.2610203375201306340608292902254 absolute error = 1.4e-30 relative error = 4.2931348323471093573688025599077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.969 y[1] (analytic) = 3.261872074943465117274927564416 y[1] (numeric) = 3.2618720749434651172749275644158 absolute error = 2e-31 relative error = 6.1314483034551993308231390532071e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (analytic) = 3.262723897378822965225792284706 y[1] (numeric) = 3.2627238973788229652257922847068 absolute error = 8e-31 relative error = 2.4519390091288344139065911189171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.971 y[1] (analytic) = 3.263575804822651189753786640693 y[1] (numeric) = 3.2635758048226511897537866406929 absolute error = 1e-31 relative error = 3.0641237090993260057754288415176e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.972 y[1] (analytic) = 3.264427797271398051234903934492 y[1] (numeric) = 3.2644277972713980512349039344935 absolute error = 1.5e-30 relative error = 4.5949859918904892710510267468996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2601.7MB, alloc=4.6MB, time=177.80 x[1] = 3.973 y[1] (analytic) = 3.265279874721513058043214496023 y[1] (numeric) = 3.2652798747215130580432144960224 absolute error = 6e-31 relative error = 1.8375147706172426855966274845695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.974 y[1] (analytic) = 3.266132037169446966013632825255 y[1] (numeric) = 3.2661320371694469660136328252545 absolute error = 5e-31 relative error = 1.5308627891030358687863796015151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.975 y[1] (analytic) = 3.266984284611651777905004718016 y[1] (numeric) = 3.2669842846116517779050047180164 absolute error = 4e-31 relative error = 1.2243707503709287674432953300875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.976 y[1] (analytic) = 3.267836617044580742863514132052 y[1] (numeric) = 3.2678366170445807428635141320522 absolute error = 2e-31 relative error = 6.1202570213219305497101693335727e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.977 y[1] (analytic) = 3.268689034464688355886409550341 y[1] (numeric) = 3.2686890344646883558864095503411 absolute error = 1e-31 relative error = 3.0593304822089615601253126513496e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.978 y[1] (analytic) = 3.269541536868430357286049598869 y[1] (numeric) = 3.2695415368684303572860495988691 absolute error = 1e-31 relative error = 3.0585327903734198885812572607227e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2605.5MB, alloc=4.6MB, time=178.17 x[1] = 3.979 y[1] (analytic) = 3.27039412425226373215426767628 y[1] (numeric) = 3.2703941242522637321542676762803 absolute error = 3e-31 relative error = 9.1732063048697957915339277679244e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (analytic) = 3.27124679661264670982705535306 y[1] (numeric) = 3.2712467966126467098270553530599 absolute error = 1e-31 relative error = 3.0569384157609051082552899728805e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.981 y[1] (analytic) = 3.272099553946038763349564298124 y[1] (numeric) = 3.2720995539460387633495642981232 absolute error = 8e-31 relative error = 2.4449133860711166338234223517016e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.982 y[1] (analytic) = 3.27295239624890060894142649091 y[1] (numeric) = 3.27295239624890060894142649091 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.983 y[1] (analytic) = 3.273805323517694205462392477308 y[1] (numeric) = 3.2738053235176942054623924773078 absolute error = 2e-31 relative error = 6.1090987470537981583129970878944e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.984 y[1] (analytic) = 3.27465833574888275387828742795 y[1] (numeric) = 3.2746583357488827538782874279495 absolute error = 5e-31 relative error = 1.5268768486213839651675957153934e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=2609.3MB, alloc=4.6MB, time=178.53 TOP MAIN SOLVE Loop x[1] = 3.985 y[1] (analytic) = 3.275511432938930696727284757656 y[1] (numeric) = 3.2755114329389306967272847576559 absolute error = 1e-31 relative error = 3.0529583561940331776376320213237e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.986 y[1] (analytic) = 3.276364615084303717586497065015 y[1] (numeric) = 3.2763646150843037175864970650151 absolute error = 1e-31 relative error = 3.0521633501839938785012887936185e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.987 y[1] (analytic) = 3.277217882181468740538884151317 y[1] (numeric) = 3.2772178821814687405388841513152 absolute error = 1.8e-30 relative error = 5.4924636222289749925203387251966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.988 y[1] (analytic) = 3.278071234226893929640477878269 y[1] (numeric) = 3.2780712342268939296404778782674 absolute error = 1.6e-30 relative error = 4.8809189479903013967370707998435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.989 y[1] (analytic) = 3.278924671217048688387923624179 y[1] (numeric) = 3.2789246712170486883879236241801 absolute error = 1.1e-30 relative error = 3.3547583744633864127476075366690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.6MB, time=178.89 x[1] = 3.99 y[1] (analytic) = 3.279778193148403659186338098467 y[1] (numeric) = 3.2797781931484036591863380984669 absolute error = 1e-31 relative error = 3.0489866726019539763966875672587e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.991 y[1] (analytic) = 3.280631800017430722817483274592 y[1] (numeric) = 3.2806318000174307228174832745915 absolute error = 5e-31 relative error = 1.5240966694200287558659554666916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.992 y[1] (analytic) = 3.281485491820602997908256201777 y[1] (numeric) = 3.2814854918206029979082562017768 absolute error = 2e-31 relative error = 6.0948006778795135291606258327930e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.993 y[1] (analytic) = 3.282339268554394840399494456024 y[1] (numeric) = 3.2823392685543948403994944560236 absolute error = 4e-31 relative error = 1.2186430690821539323619514318416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.994 y[1] (analytic) = 3.283193130215281843015096991208 y[1] (numeric) = 3.2831931302152818430150969912082 absolute error = 2e-31 relative error = 6.0916306798828439678988707653920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.995 y[1] (analytic) = 3.284047076799740834731460151247 y[1] (numeric) = 3.2840470767997408347314601512472 absolute error = 2e-31 relative error = 6.0900466809049910781058133936802e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.6MB, time=179.26 x[1] = 3.996 y[1] (analytic) = 3.284901108304249880247228604541 y[1] (numeric) = 3.2849011083042498802472286045398 absolute error = 1.2e-30 relative error = 3.6530780088520556623322791818347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.997 y[1] (analytic) = 3.285755224725288279453360962117 y[1] (numeric) = 3.2857552247252882794533609621166 absolute error = 4e-31 relative error = 1.2173761362075982068719099123755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.998 y[1] (analytic) = 3.286609426059336566903509841145 y[1] (numeric) = 3.2866094260593365669035098411455 absolute error = 5e-31 relative error = 1.5213246698422052833685105988736e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.999 y[1] (analytic) = 3.287463712302876511284716135665 y[1] (numeric) = 3.2874637123028765112847161356646 absolute error = 4e-31 relative error = 1.2167434685379356008297637128778e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4 y[1] (analytic) = 3.288318083452391114888417256633 y[1] (numeric) = 3.2883180834523911148884172566318 absolute error = 1.2e-30 relative error = 3.6492820023667695916164997602041e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.6MB, time=179.62 x[1] = 4.001 y[1] (analytic) = 3.289172539504364613081769103599 y[1] (numeric) = 3.2891725395043646130817691035994 absolute error = 4e-31 relative error = 1.2161113325489297107057613159030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.002 y[1] (analytic) = 3.290027080455282473779281530544 y[1] (numeric) = 3.2900270804552824737792815305426 absolute error = 1.4e-30 relative error = 4.2552841230907569665978370732631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.003 y[1] (analytic) = 3.290881706301631396914767068589 y[1] (numeric) = 3.2908817063016313969147670685887 absolute error = 3e-31 relative error = 9.1160979571382681109281203131332e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.004 y[1] (analytic) = 3.291736417039899313913602668612 y[1] (numeric) = 3.2917364170398993139136026686127 absolute error = 7e-31 relative error = 2.1265372171854404659711121260418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.005 y[1] (analytic) = 3.292591212666575387165304226882 y[1] (numeric) = 3.2925912126665753871653042268831 absolute error = 1.1e-30 relative error = 3.3408337960944185436018924547120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.006 y[1] (analytic) = 3.293446093178150009496413657162 y[1] (numeric) = 3.2934460931781500094964136571612 absolute error = 8e-31 relative error = 2.4290666291975229718572593533250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=2624.6MB, alloc=4.6MB, time=179.98 x[1] = 4.007 y[1] (analytic) = 3.294301058571114803643698272874 y[1] (numeric) = 3.2943010585711148036436982728736 absolute error = 4e-31 relative error = 1.2142181084490736497260611230096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.008 y[1] (analytic) = 3.295156108841962621727662243197 y[1] (numeric) = 3.295156108841962621727662243196 absolute error = 1.0e-30 relative error = 3.0347575864969756225476810348790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.009 y[1] (analytic) = 3.296011243987187544726369887106 y[1] (numeric) = 3.2960112439871875447263698871045 absolute error = 1.5e-30 relative error = 4.5509553486396750022302817037976e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); Iterations = 3910 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 45 Seconds Optimized Time Remaining = 45 Seconds Expected Total Time = 3 Minutes 45 Seconds Time to Timeout Unknown Percent Done = 79.82 % > quit memory used=2626.3MB, alloc=4.6MB, time=180.13