|\^/| 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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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_y2[1]) < min_size) then # if number 1 > min_size := omniabs(array_y2[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (omniabs(array_y1[1]) < min_size) then # if number 1 > min_size := omniabs(array_y1[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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y2[1]) < min_size then min_size := omniabs(array_y2[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if omniabs(array_y1[1]) < min_size then min_size := omniabs(array_y1[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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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_y2[no_terms-3] + array_y2[no_terms - 2] * hn_div_ho + array_y2[no_terms - 1] * hn_div_ho_2 + array_y2[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; > value3 := omniabs(array_y1[no_terms-3] + array_y1[no_terms - 2] * hn_div_ho + array_y1[no_terms - 1] * hn_div_ho_2 + array_y1[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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2[no_terms - 3] + array_y2[no_terms - 2]*hn_div_ho + array_y2[no_terms - 1]*hn_div_ho_2 + array_y2[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; value3 := omniabs(array_y1[no_terms - 3] + array_y1[no_terms - 2]*hn_div_ho + array_y1[no_terms - 1]*hn_div_ho_2 + array_y1[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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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_y2(ind_var); > omniout_float(ALWAYS,"y2[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y2[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y2[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," "); > ; > analytic_val_y := exact_soln_y1(ind_var); > omniout_float(ALWAYS,"y1[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y1[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y1[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[2] := relerr; > else > array_last_rel_error[2] := 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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2(ind_var); omniout_float(ALWAYS, "y2[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y2[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y2[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, " "); analytic_val_y := exact_soln_y1(ind_var); omniout_float(ALWAYS, "y1[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y1[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y1[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[2] := relerr else array_last_rel_error[2] := 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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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_y2_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y2_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (omniabs(array_y1_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y1_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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2_higher[1, 1]) then tmp := omniabs(array_y2_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_small_float < omniabs(array_y1_higher[1, 1]) then tmp := omniabs(array_y1_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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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 - 4 - 1; > while ((m >= 10) and ((omniabs(array_y2_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y2_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y2_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_y2_higher[1,m]/array_y2_higher[1,m-1]; > rm1 := array_y2_higher[1,m-1]/array_y2_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 > #IN RADII REAL EQ = 2 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 2 > #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_y1_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y1_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y1_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_y1_higher[1,m]/array_y1_higher[1,m-1]; > rm1 := array_y1_higher[1,m-1]/array_y1_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[2,1] := rcs; > array_real_pole[2,2] := ord_no; > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[2,1] := glob_large_float; > array_real_pole[2,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 2 > #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 - 4 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_y2_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_y2_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y2_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y2_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y2_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y2_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y2_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_y2_higher[1,m])/(array_y2_higher[1,m-1]); > rm1 := (array_y2_higher[1,m-1])/(array_y2_higher[1,m-2]); > rm2 := (array_y2_higher[1,m-2])/(array_y2_higher[1,m-3]); > rm3 := (array_y2_higher[1,m-3])/(array_y2_higher[1,m-4]); > rm4 := (array_y2_higher[1,m-4])/(array_y2_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 > #TOP RADII COMPLEX EQ = 2 > #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_y1_higher[1,n]) > glob_small_float) then # if number 2 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 2; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_y1_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y1_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y1_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y1_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y1_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y1_higher[1,m-5]) <= (glob_small_float)))) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_y1_higher[1,m])/(array_y1_higher[1,m-1]); > rm1 := (array_y1_higher[1,m-1])/(array_y1_higher[1,m-2]); > rm2 := (array_y1_higher[1,m-2])/(array_y1_higher[1,m-3]); > rm3 := (array_y1_higher[1,m-3])/(array_y1_higher[1,m-4]); > rm4 := (array_y1_higher[1,m-4])/(array_y1_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 4 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 5 > 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 6 > if (rcs > 0.0) then # if number 7 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 7 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > fi;# end if 4; > array_complex_pole[2,1] := rad_c; > array_complex_pole[2,2] := ord_no; > fi;# end if 3; > #BOTTOM RADII COMPLEX EQ = 2 > 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 3 > 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 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > 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 3 > 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 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > 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 3 > 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 4 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 4; > fi;# end if 3; > 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 3 > 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 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > 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 3 > 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 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (1 <> found_sing ) then # if number 3 > 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 4 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 4; > fi;# end if 3; > #BOTTOM WHICH RADII EQ = 1 > #TOP WHICH RADII EQ = 2 > if (2 <> found_sing and ((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float)) and ((array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > found_sing := 2; > array_type_pole[2] := 2; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and ((array_real_pole[2,1] <> glob_large_float) and (array_real_pole[2,2] <> glob_large_float) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float) or (array_complex_pole[2,1] <= 0.0 ) or (array_complex_pole[2,2] <= 0.0)))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found_sing := 2; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and (((array_real_pole[2,1] = glob_large_float) or (array_real_pole[2,2] = glob_large_float)) and ((array_complex_pole[2,1] = glob_large_float) or (array_complex_pole[2,2] = glob_large_float)))) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > found_sing := 2; > array_type_pole[2] := 3; > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"NO POLE for equation 2"); > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and ((array_real_pole[2,1] < array_complex_pole[2,1]) and (array_real_pole[2,1] > 0.0) and (array_real_pole[2,2] > -1.0 * glob_smallish_float))) then # if number 3 > array_poles[2,1] := array_real_pole[2,1]; > array_poles[2,2] := array_real_pole[2,2]; > found_sing := 2; > array_type_pole[2] := 1; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Real estimate of pole used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing and ((array_complex_pole[2,1] <> glob_large_float) and (array_complex_pole[2,2] <> glob_large_float) and (array_complex_pole[2,1] > 0.0) and (array_complex_pole[2,2] > 0.0))) then # if number 3 > array_poles[2,1] := array_complex_pole[2,1]; > array_poles[2,2] := array_complex_pole[2,2]; > array_type_pole[2] := 2; > found_sing := 2; > if (glob_display_flag) then # if number 4 > if (reached_interval()) then # if number 5 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 2"); > fi;# end if 5; > fi;# end if 4; > fi;# end if 3; > if (2 <> found_sing ) then # if number 3 > array_poles[2,1] := glob_large_float; > array_poles[2,2] := glob_large_float; > array_type_pole[2] := 3; > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"NO POLE for equation 2"); > fi;# end if 4; > fi;# end if 3; > #BOTTOM WHICH RADII EQ = 2 > 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 3 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 3; > #BOTTOM WHICH RADIUS EQ = 1 > #TOP WHICH RADIUS EQ = 2 > if (array_pole[1] > array_poles[2,1]) then # if number 3 > array_pole[1] := array_poles[2,1]; > array_pole[2] := array_poles[2,2]; > fi;# end if 3; > #BOTTOM WHICH RADIUS EQ = 2 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 3 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_y2[term] := array_y2[term]* ratio; > array_y2_higher[1,term] := array_y2_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > array_y1[term] := array_y1[term]* ratio; > array_y1_higher[1,term] := array_y1_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 3; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 3 > display_pole(); > fi;# end if 3 > 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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 5; while 10 <= m and ( omniabs(array_y2_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_y2_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y2_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_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; m := n - 2; while 10 <= m and ( omniabs(array_y1_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_y1_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y1_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_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[2, 1] := rcs; array_real_pole[2, 2] := ord_no else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if else array_real_pole[2, 1] := glob_large_float; array_real_pole[2, 2] := glob_large_float end if; n := glob_max_terms - 5; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_y2_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_y2_higher[1, m]) or glob_large_float <= omniabs(array_y2_higher[1, m - 1]) or glob_large_float <= omniabs(array_y2_higher[1, m - 2]) or glob_large_float <= omniabs(array_y2_higher[1, m - 3]) or glob_large_float <= omniabs(array_y2_higher[1, m - 4]) or glob_large_float <= omniabs(array_y2_higher[1, m - 5]) or omniabs(array_y2_higher[1, m]) <= glob_small_float or omniabs(array_y2_higher[1, m - 1]) <= glob_small_float or omniabs(array_y2_higher[1, m - 2]) <= glob_small_float or omniabs(array_y2_higher[1, m - 3]) <= glob_small_float or omniabs(array_y2_higher[1, m - 4]) <= glob_small_float or omniabs(array_y2_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_y2_higher[1, m]/array_y2_higher[1, m - 1]; rm1 := array_y2_higher[1, m - 1]/array_y2_higher[1, m - 2]; rm2 := array_y2_higher[1, m - 2]/array_y2_higher[1, m - 3]; rm3 := array_y2_higher[1, m - 3]/array_y2_higher[1, m - 4]; rm4 := array_y2_higher[1, m - 4]/array_y2_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; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_y1_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_y1_higher[1, m]) or glob_large_float <= omniabs(array_y1_higher[1, m - 1]) or glob_large_float <= omniabs(array_y1_higher[1, m - 2]) or glob_large_float <= omniabs(array_y1_higher[1, m - 3]) or glob_large_float <= omniabs(array_y1_higher[1, m - 4]) or glob_large_float <= omniabs(array_y1_higher[1, m - 5]) or omniabs(array_y1_higher[1, m]) <= glob_small_float or omniabs(array_y1_higher[1, m - 1]) <= glob_small_float or omniabs(array_y1_higher[1, m - 2]) <= glob_small_float or omniabs(array_y1_higher[1, m - 3]) <= glob_small_float or omniabs(array_y1_higher[1, m - 4]) <= glob_small_float or omniabs(array_y1_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_y1_higher[1, m]/array_y1_higher[1, m - 1]; rm1 := array_y1_higher[1, m - 1]/array_y1_higher[1, m - 2]; rm2 := array_y1_higher[1, m - 2]/array_y1_higher[1, m - 3]; rm3 := array_y1_higher[1, m - 3]/array_y1_higher[1, m - 4]; rm4 := array_y1_higher[1, m - 4]/array_y1_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[2, 1] := rad_c; array_complex_pole[2, 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; if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; found_sing := 2; array_type_pole[2] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 2") end if end if end if; if 2 <> found_sing and array_real_pole[2, 1] <> glob_large_float and array_real_pole[2, 2] <> glob_large_float and 0. < array_real_pole[2, 1] and -1.0*glob_smallish_float < array_real_pole[2, 2] and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float or array_complex_pole[2, 1] <= 0. or array_complex_pole[2, 2] <= 0.) then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found_sing := 2; array_type_pole[2] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 2") end if end if end if; if 2 <> found_sing and (array_real_pole[2, 1] = glob_large_float or array_real_pole[2, 2] = glob_large_float) and ( array_complex_pole[2, 1] = glob_large_float or array_complex_pole[2, 2] = glob_large_float) then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; found_sing := 2; array_type_pole[2] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 2") end if end if; if 2 <> found_sing and array_real_pole[2, 1] < array_complex_pole[2, 1] and 0. < array_real_pole[2, 1] and -1.0*glob_smallish_float < array_real_pole[2, 2] then array_poles[2, 1] := array_real_pole[2, 1]; array_poles[2, 2] := array_real_pole[2, 2]; found_sing := 2; array_type_pole[2] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 2") end if end if end if; if 2 <> found_sing and array_complex_pole[2, 1] <> glob_large_float and array_complex_pole[2, 2] <> glob_large_float and 0. < array_complex_pole[2, 1] and 0. < array_complex_pole[2, 2] then array_poles[2, 1] := array_complex_pole[2, 1]; array_poles[2, 2] := array_complex_pole[2, 2]; array_type_pole[2] := 2; found_sing := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 2") end if end if end if; if 2 <> found_sing then array_poles[2, 1] := glob_large_float; array_poles[2, 2] := glob_large_float; array_type_pole[2] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 2") 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_poles[2, 1] < array_pole[1] then array_pole[1] := array_poles[2, 1]; array_pole[2] := array_poles[2, 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_y2[term] := array_y2[term]*ratio; array_y2_higher[1, term] := array_y2_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; array_y1[term] := array_y1[term]*ratio; array_y1_higher[1, term] := array_y1_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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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 3 > 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_y2[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := omniabs(array_y2[iii]); > fi;# end if 4; > iii := iii + 1; > od;# end do number 2 > ; > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y1[iii]) > array_norms[iii]) then # if number 4 > array_norms[iii] := omniabs(array_y1[iii]); > fi;# end if 4; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 3; > 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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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_y2[iii]) then array_norms[iii] := omniabs(array_y2[iii]) end if; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y1[iii]) then array_norms[iii] := omniabs(array_y1[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_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D0[1] + array_y1[1]; > #emit pre sub FULL - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] - array_const_1D0[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y2_set_initial[1,5]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[1] * expt(glob_h , (4)) * factorial_3(0,4); > array_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y2_higher[2,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y2_higher[3,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[4,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y2_higher[5,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #emit pre diff $eq_no = 2 i = 1 order_d = 3 > array_tmp4[1] := array_y2_higher[4,1]; > # emit pre mult FULL FULL $eq_no = 2 i = 1 > array_tmp5[1] := (array_m1[1] * (array_tmp4[1])); > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if ( not array_y1_set_initial[2,2]) 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_y1[2] := temporary; > array_y1_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y1_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp1[2] := array_y1[2]; > #emit pre sub FULL CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y2_set_initial[1,6]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[2] * expt(glob_h , (4)) * factorial_3(1,5); > array_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y2_higher[2,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y2_higher[3,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y2_higher[4,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[5,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #emit pre diff $eq_no = 2 i = 2 order_d = 3 > array_tmp4[2] := array_y2_higher[4,2]; > # emit pre mult FULL FULL $eq_no = 2 i = 2 > array_tmp5[2] := ats(2,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if ( not array_y1_set_initial[2,3]) 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_y1[3] := temporary; > array_y1_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y1_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp1[3] := array_y1[3]; > #emit pre sub FULL CONST $eq_no = 1 i = 3 > array_tmp2[3] := array_tmp1[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y2_set_initial[1,7]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[3] * expt(glob_h , (4)) * factorial_3(2,6); > array_y2[7] := temporary; > array_y2_higher[1,7] := temporary; > temporary := temporary / glob_h * (6.0); > array_y2_higher[2,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y2_higher[3,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y2_higher[4,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y2_higher[5,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #emit pre diff $eq_no = 2 i = 3 order_d = 3 > array_tmp4[3] := array_y2_higher[4,3]; > # emit pre mult FULL FULL $eq_no = 2 i = 3 > array_tmp5[3] := ats(3,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if ( not array_y1_set_initial[2,4]) 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_y1[4] := temporary; > array_y1_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y1_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp1[4] := array_y1[4]; > #emit pre sub FULL CONST $eq_no = 1 i = 4 > array_tmp2[4] := array_tmp1[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y2_set_initial[1,8]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[4] * expt(glob_h , (4)) * factorial_3(3,7); > array_y2[8] := temporary; > array_y2_higher[1,8] := temporary; > temporary := temporary / glob_h * (7.0); > array_y2_higher[2,7] := temporary; > temporary := temporary / glob_h * (6.0); > array_y2_higher[3,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y2_higher[4,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y2_higher[5,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #emit pre diff $eq_no = 2 i = 4 order_d = 3 > array_tmp4[4] := array_y2_higher[4,4]; > # emit pre mult FULL FULL $eq_no = 2 i = 4 > array_tmp5[4] := ats(4,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if ( not array_y1_set_initial[2,5]) 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_y1[5] := temporary; > array_y1_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y1_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp1[5] := array_y1[5]; > #emit pre sub FULL CONST $eq_no = 1 i = 5 > array_tmp2[5] := array_tmp1[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y2_set_initial[1,9]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp2[5] * expt(glob_h , (4)) * factorial_3(4,8); > array_y2[9] := temporary; > array_y2_higher[1,9] := temporary; > temporary := temporary / glob_h * (8.0); > array_y2_higher[2,8] := temporary; > temporary := temporary / glob_h * (7.0); > array_y2_higher[3,7] := temporary; > temporary := temporary / glob_h * (6.0); > array_y2_higher[4,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y2_higher[5,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #emit pre diff $eq_no = 2 i = 5 order_d = 3 > array_tmp4[5] := array_y2_higher[4,5]; > # emit pre mult FULL FULL $eq_no = 2 i = 5 > array_tmp5[5] := ats(5,array_m1,array_tmp4,1); > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if ( not array_y1_set_initial[2,6]) 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_y1[6] := temporary; > array_y1_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y1_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 NOT FULL - FULL add $eq_no = 1 > array_tmp1[kkk] := array_y1[kkk]; > #emit FULL - NOT FULL sub $eq_no = 1 > array_tmp2[kkk] := array_tmp1[kkk]; > #emit assign $eq_no = 1 > order_d := 4; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y2_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp2[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y2[kkk + order_d] := temporary; > array_y2_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_y2_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; > #emit diff $eq_no = 2 > array_tmp4[kkk] := array_y2_higher[4,kkk]; > #emit mult FULL FULL $eq_no = 2 > array_tmp5[kkk] := ats(kkk,array_m1,array_tmp4,1); > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y1_set_initial[2,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_y1[kkk + order_d] := temporary; > array_y1_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_y1_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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D0[1] + array_y1[1]; array_tmp2[1] := array_tmp1[1] - array_const_1D0[1]; if not array_y2_set_initial[1, 5] then if 1 <= glob_max_terms then temporary := array_tmp2[1]*expt(glob_h, 4)*factorial_3(0, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[2, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[3, 3] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[4, 2] := temporary; temporary := temporary*1.0/glob_h; array_y2_higher[5, 1] := temporary end if end if; kkk := 2; array_tmp4[1] := array_y2_higher[4, 1]; array_tmp5[1] := array_m1[1]*array_tmp4[1]; if not array_y1_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y1[2] := temporary; array_y1_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y1_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_y1[2]; array_tmp2[2] := array_tmp1[2]; if not array_y2_set_initial[1, 6] then if 2 <= glob_max_terms then temporary := array_tmp2[2]*expt(glob_h, 4)*factorial_3(1, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[2, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[3, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[4, 3] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[5, 2] := temporary end if end if; kkk := 3; array_tmp4[2] := array_y2_higher[4, 2]; array_tmp5[2] := ats(2, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y1[3] := temporary; array_y1_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y1_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := array_y1[3]; array_tmp2[3] := array_tmp1[3]; if not array_y2_set_initial[1, 7] then if 3 <= glob_max_terms then temporary := array_tmp2[3]*expt(glob_h, 4)*factorial_3(2, 6); array_y2[7] := temporary; array_y2_higher[1, 7] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[2, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[3, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[4, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[5, 3] := temporary end if end if; kkk := 4; array_tmp4[3] := array_y2_higher[4, 3]; array_tmp5[3] := ats(3, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y1[4] := temporary; array_y1_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y1_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := array_y1[4]; array_tmp2[4] := array_tmp1[4]; if not array_y2_set_initial[1, 8] then if 4 <= glob_max_terms then temporary := array_tmp2[4]*expt(glob_h, 4)*factorial_3(3, 7); array_y2[8] := temporary; array_y2_higher[1, 8] := temporary; temporary := temporary*7.0/glob_h; array_y2_higher[2, 7] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[3, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[4, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[5, 4] := temporary end if end if; kkk := 5; array_tmp4[4] := array_y2_higher[4, 4]; array_tmp5[4] := ats(4, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y1[5] := temporary; array_y1_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y1_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := array_y1[5]; array_tmp2[5] := array_tmp1[5]; if not array_y2_set_initial[1, 9] then if 5 <= glob_max_terms then temporary := array_tmp2[5]*expt(glob_h, 4)*factorial_3(4, 8); array_y2[9] := temporary; array_y2_higher[1, 9] := temporary; temporary := temporary*8.0/glob_h; array_y2_higher[2, 8] := temporary; temporary := temporary*7.0/glob_h; array_y2_higher[3, 7] := temporary; temporary := temporary*6.0/glob_h; array_y2_higher[4, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[5, 5] := temporary end if end if; kkk := 6; array_tmp4[5] := array_y2_higher[4, 5]; array_tmp5[5] := ats(5, array_m1, array_tmp4, 1); if not array_y1_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y1[6] := temporary; array_y1_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y1_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := array_y1[kkk]; array_tmp2[kkk] := array_tmp1[kkk]; order_d := 4; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_set_initial[1, kkk + order_d] then temporary := array_tmp2[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y2[kkk + order_d] := temporary; array_y2_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_y2_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; array_tmp4[kkk] := array_y2_higher[4, kkk]; array_tmp5[kkk] := ats(kkk, array_m1, array_tmp4, 1); order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[2, kkk + order_d] then temporary := array_tmp5[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y1[kkk + order_d] := temporary; array_y1_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_y1_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_y1 := proc(x) > return(1.0 + sin(x)); > end; exact_soln_y1 := proc(x) return 1.0 + sin(x) end proc > exact_soln_y2 := proc(x) > return(1.0 + sin(x)); > end; exact_soln_y2 := proc(x) return 1.0 + sin(x) end proc > exact_soln_y2p := proc(x) > return( cos(x)); > end; exact_soln_y2p := proc(x) return cos(x) end proc > exact_soln_y2pp := proc(x) > return( -sin(x)); > end; exact_soln_y2pp := proc(x) return -sin(x) end proc > exact_soln_y2ppp := proc(x) > return( -cos(x)); > end; exact_soln_y2ppp := proc(x) return -cos(x) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_4, > array_const_0D0, > array_const_1D0, > array_const_1, > array_const_3, > #END CONST > array_y2_init, > array_y1_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y2, > array_x, > array_y1, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_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 := 2; > 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/mtest8postode.ode#################"); > omniout_str(ALWAYS,"diff ( y2 , x , 4 ) = y1 - 1.0;"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); > 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 := 5.1;"); > omniout_str(ALWAYS,"array_y1_init[0 + 1] := exact_soln_y1(x_start);"); > omniout_str(ALWAYS,"array_y2_init[0 + 1] := exact_soln_y2(x_start);"); > omniout_str(ALWAYS,"array_y2_init[1 + 1] := exact_soln_y2p(x_start);"); > omniout_str(ALWAYS,"array_y2_init[2 + 1] := exact_soln_y2pp(x_start);"); > omniout_str(ALWAYS,"array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 20;"); > 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_y1 := proc(x)"); > omniout_str(ALWAYS,"return(1.0 + sin(x));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2 := proc(x)"); > omniout_str(ALWAYS,"return(1.0 + sin(x));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2p := proc(x)"); > omniout_str(ALWAYS,"return( cos(x));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2pp := proc(x)"); > omniout_str(ALWAYS,"return( -sin(x));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"exact_soln_y2ppp := proc(x)"); > omniout_str(ALWAYS,"return( -cos(x));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #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_y2_init:= Array(0..(max_terms + 1),[]); > array_y1_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_y2:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_y1:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y2_higher := Array(0..(5+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work := Array(0..(5+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work2 := Array(0..(5+ 1) ,(0..max_terms+ 1),[]); > array_y2_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y1_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y1_set_initial := Array(0..(3+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(2+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(2+ 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_y2_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y1_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_y2[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_y1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=5) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y2_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 <=5) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y2_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 <=5) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y2_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 <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y2_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 <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y1_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_y1_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_y1_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 <=3) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y1_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 <=2) 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 <=2) 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 <=2) 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_y2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y2[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_y1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_4[1] := 4; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1D0[1] := 1.0; > array_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_3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_3[1] := 3; > 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 := 5.1; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > array_y2_init[1 + 1] := exact_soln_y2p(x_start); > array_y2_init[2 + 1] := exact_soln_y2pp(x_start); > array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); > glob_look_poles := true; > glob_max_iter := 20; > #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_y2_set_initial[1,1] := true; > array_y2_set_initial[1,2] := true; > array_y2_set_initial[1,3] := true; > array_y2_set_initial[1,4] := true; > array_y2_set_initial[1,5] := false; > array_y2_set_initial[1,6] := false; > array_y2_set_initial[1,7] := false; > array_y2_set_initial[1,8] := false; > array_y2_set_initial[1,9] := false; > array_y2_set_initial[1,10] := false; > array_y2_set_initial[1,11] := false; > array_y2_set_initial[1,12] := false; > array_y2_set_initial[1,13] := false; > array_y2_set_initial[1,14] := false; > array_y2_set_initial[1,15] := false; > array_y2_set_initial[1,16] := false; > array_y2_set_initial[1,17] := false; > array_y2_set_initial[1,18] := false; > array_y2_set_initial[1,19] := false; > array_y2_set_initial[1,20] := false; > array_y2_set_initial[1,21] := false; > array_y2_set_initial[1,22] := false; > array_y2_set_initial[1,23] := false; > array_y2_set_initial[1,24] := false; > array_y2_set_initial[1,25] := false; > array_y2_set_initial[1,26] := false; > array_y2_set_initial[1,27] := false; > array_y2_set_initial[1,28] := false; > array_y2_set_initial[1,29] := false; > array_y2_set_initial[1,30] := false; > array_y1_set_initial[2,1] := true; > array_y1_set_initial[2,2] := false; > array_y1_set_initial[2,3] := false; > array_y1_set_initial[2,4] := false; > array_y1_set_initial[2,5] := false; > array_y1_set_initial[2,6] := false; > array_y1_set_initial[2,7] := false; > array_y1_set_initial[2,8] := false; > array_y1_set_initial[2,9] := false; > array_y1_set_initial[2,10] := false; > array_y1_set_initial[2,11] := false; > array_y1_set_initial[2,12] := false; > array_y1_set_initial[2,13] := false; > array_y1_set_initial[2,14] := false; > array_y1_set_initial[2,15] := false; > array_y1_set_initial[2,16] := false; > array_y1_set_initial[2,17] := false; > array_y1_set_initial[2,18] := false; > array_y1_set_initial[2,19] := false; > array_y1_set_initial[2,20] := false; > array_y1_set_initial[2,21] := false; > array_y1_set_initial[2,22] := false; > array_y1_set_initial[2,23] := false; > array_y1_set_initial[2,24] := false; > array_y1_set_initial[2,25] := false; > array_y1_set_initial[2,26] := false; > array_y1_set_initial[2,27] := false; > array_y1_set_initial[2,28] := false; > array_y1_set_initial[2,29] := false; > array_y1_set_initial[2,30] := 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 3 > glob_h := glob_display_interval; > fi;# end if 3; > if (glob_max_h < glob_h) then # if number 3 > glob_h := glob_max_h; > fi;# end if 3; > 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 := 4; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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 > ; > order_diff := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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 > ; > if (glob_subiter_method = 1 ) then # if number 3 > atomall(); > elif > (glob_subiter_method = 2 ) then # if number 4 > subiter := 1; > while (subiter <= 5) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > else > subiter := 1; > while (subiter <= 5 + glob_max_terms) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > fi;# end if 4; > 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 4 > best_h := glob_h; > found_h := 1.0; > fi;# end if 4; > 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 4 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 4; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 4 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 4; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 4 > 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 := 4; > #Start Series array_y2 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y2[term_no] := array_y2_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_y2_higher[r_order,term_no] := array_y2_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 > ; > order_diff := 1; > #Start Series array_y1 > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y1[term_no] := array_y1_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_y1_higher[r_order,term_no] := array_y1_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 5 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 5; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > if (glob_subiter_method = 1 ) then # if number 5 > atomall(); > elif > (glob_subiter_method = 2 ) then # if number 6 > subiter := 1; > while (subiter <= 5) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > else > subiter := 1; > while (subiter <= 5 + glob_max_terms) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > fi;# end if 6; > display_alot(current_iter); > if (glob_look_poles) then # if number 6 > #left paren 0004C > check_for_pole(); > fi;# end if 6;#was right paren 0004C > if (reached_interval()) then # if number 6 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 6; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y2; > order_diff := 5; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 5; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[5,iii] := array_y2_higher[5,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 := 5; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 4; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,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 := 4; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 4; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[4,iii] := array_y2_higher[4,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 := 4; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 3; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3; > calc_term := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 3; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3; > calc_term := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 3; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[3,iii] := array_y2_higher[3,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 := 3; > calc_term := 1; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 2; > calc_term := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 2; > calc_term := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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 := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 2; > calc_term := 2; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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 := 2; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 2; > calc_term := 1; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[2,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 5; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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 := 5; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 4; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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 := 4; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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 := 3; > #adjust_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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 := 3; > #sum_subseriesarray_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y2_higher_work[1,iii] := array_y2_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_y2 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y2_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y2_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_y2[term_no] := array_y2_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y2_higher[ord,term_no] := array_y2_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 > #Jump Series array_y1; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[2,iii] := array_y1_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 =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_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 =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =2 > #BEFORE ADJUST SUBSERIES EQ =2 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y1_higher_work[1,iii] := array_y1_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 =2 > #BEFORE SUM SUBSERIES EQ =2 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y1 > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y1_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y1_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =2 > #END SUM AND ADJUST EQ =2 > #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_y1[term_no] := array_y1_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y1_higher[ord,term_no] := array_y1_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 6 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 6; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 6; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y2 , x , 4 ) = y1 - 1.0;"); > omniout_str(INFO,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 6 > logstart(html_log_file); > logitem_str(html_log_file,"2013-01-28T18:15:02-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest8") > ; > logitem_str(html_log_file,"diff ( y2 , x , 4 ) = y1 - 1.0;") > ; > logitem_float(html_log_file,x_start) > ; > logitem_float(html_log_file,x_end) > ; > logitem_float(html_log_file,array_x[1]) > ; > logitem_float(html_log_file,glob_h) > ; > logitem_integer(html_log_file,Digits) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_max_terms) > ; > logitem_float(html_log_file,array_1st_rel_error[1]) > ; > logitem_float(html_log_file,array_last_rel_error[1]) > ; > logitem_integer(html_log_file,glob_iter) > ; > logitem_pole(html_log_file,array_type_pole[1]) > ; > if (array_type_pole[1] = 1 or array_type_pole[1] = 2) then # if number 7 > 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 7; > logitem_time(html_log_file,convfloat(glob_clock_sec)) > ; > if (glob_percent_done < 100.0) then # if number 7 > logitem_time(html_log_file,convfloat(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 7; > log_revs(html_log_file," 165 ") > ; > logitem_str(html_log_file,"mtest8 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest8 maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;") > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > ; > logitem_good_digits(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_float(html_log_file,array_1st_rel_error[2]) > ; > logitem_float(html_log_file,array_last_rel_error[2]) > ; > logditto(html_log_file) > ; > logitem_pole(html_log_file,array_type_pole[2]) > ; > if (array_type_pole[2] = 1 or array_type_pole[2] = 2) then # if number 7 > 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 7; > logditto(html_log_file) > ; > if (glob_percent_done < 100.0) then # if number 7 > logditto(html_log_file) > ; > 0; > else > logditto(html_log_file) > ; > 0; > fi;# end if 7; > logditto(html_log_file); > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logditto(html_log_file) > ; > logend(html_log_file) > ; > ; > fi;# end if 6; > if (glob_html_log) then # if number 6 > fclose(html_log_file); > fi;# end if 6 > ; > ;; > fi;# end if 5 > #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_4, array_const_0D0, array_const_1D0, array_const_1, array_const_3, array_y2_init, array_y1_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y2, array_x, array_y1, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_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 := 2; 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/mtest8postode.ode#################"); omniout_str(ALWAYS, "diff ( y2 , x , 4 ) = y1 - 1.0;"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;") ; 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 := 5.1;"); omniout_str(ALWAYS, "array_y1_init[0 + 1] := exact_soln_y1(x_start);"); omniout_str(ALWAYS, "array_y2_init[0 + 1] := exact_soln_y2(x_start);"); omniout_str(ALWAYS, "array_y2_init[1 + 1] := exact_soln_y2p(x_start);") ; omniout_str(ALWAYS, "array_y2_init[2 + 1] := exact_soln_y2pp(x_start);") ; omniout_str(ALWAYS, "array_y2_init[3 + 1] := exact_soln_y2ppp(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 20;"); 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_y1 := proc(x)"); omniout_str(ALWAYS, "return(1.0 +\tsin(x));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2 := proc(x)"); omniout_str(ALWAYS, "return(1.0 +\tsin(x));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2p := proc(x)"); omniout_str(ALWAYS, "return(\tcos(x));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2pp := proc(x)"); omniout_str(ALWAYS, "return(\t-sin(x));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "exact_soln_y2ppp := proc(x)"); omniout_str(ALWAYS, "return(\t-cos(x));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y2_init := Array(0 .. max_terms + 1, []); array_y1_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_y2 := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_y1 := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y2_higher := Array(0 .. 6, 0 .. max_terms + 1, []); array_y2_higher_work := Array(0 .. 6, 0 .. max_terms + 1, []); array_y2_higher_work2 := Array(0 .. 6, 0 .. max_terms + 1, []); array_y2_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_y1_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y1_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y1_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y1_set_initial := Array(0 .. 4, 0 .. max_terms + 1, []); array_poles := Array(0 .. 3, 0 .. 4, []); array_real_pole := Array(0 .. 3, 0 .. 4, []); array_complex_pole := Array(0 .. 3, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y2_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y1_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_y2[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_y1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 5 do term := 1; while term <= max_terms do array_y2_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 5 do term := 1; while term <= max_terms do array_y2_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 5 do term := 1; while term <= max_terms do array_y2_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y2_set_initial[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_y1_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_y1_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_y1_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 3 do term := 1; while term <= max_terms do array_y1_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 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 <= 2 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 <= 2 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_y2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y2[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_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_const_4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_4[term] := 0.; term := term + 1 end do; array_const_4[1] := 4; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_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_3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_3[term] := 0.; term := term + 1 end do; array_const_3[1] := 3; 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 := 5.1; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); array_y2_init[2] := exact_soln_y2p(x_start); array_y2_init[3] := exact_soln_y2pp(x_start); array_y2_init[4] := exact_soln_y2ppp(x_start); glob_look_poles := true; glob_max_iter := 20; 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_y2_set_initial[1, 1] := true; array_y2_set_initial[1, 2] := true; array_y2_set_initial[1, 3] := true; array_y2_set_initial[1, 4] := true; array_y2_set_initial[1, 5] := false; array_y2_set_initial[1, 6] := false; array_y2_set_initial[1, 7] := false; array_y2_set_initial[1, 8] := false; array_y2_set_initial[1, 9] := false; array_y2_set_initial[1, 10] := false; array_y2_set_initial[1, 11] := false; array_y2_set_initial[1, 12] := false; array_y2_set_initial[1, 13] := false; array_y2_set_initial[1, 14] := false; array_y2_set_initial[1, 15] := false; array_y2_set_initial[1, 16] := false; array_y2_set_initial[1, 17] := false; array_y2_set_initial[1, 18] := false; array_y2_set_initial[1, 19] := false; array_y2_set_initial[1, 20] := false; array_y2_set_initial[1, 21] := false; array_y2_set_initial[1, 22] := false; array_y2_set_initial[1, 23] := false; array_y2_set_initial[1, 24] := false; array_y2_set_initial[1, 25] := false; array_y2_set_initial[1, 26] := false; array_y2_set_initial[1, 27] := false; array_y2_set_initial[1, 28] := false; array_y2_set_initial[1, 29] := false; array_y2_set_initial[1, 30] := false; array_y1_set_initial[2, 1] := true; array_y1_set_initial[2, 2] := false; array_y1_set_initial[2, 3] := false; array_y1_set_initial[2, 4] := false; array_y1_set_initial[2, 5] := false; array_y1_set_initial[2, 6] := false; array_y1_set_initial[2, 7] := false; array_y1_set_initial[2, 8] := false; array_y1_set_initial[2, 9] := false; array_y1_set_initial[2, 10] := false; array_y1_set_initial[2, 11] := false; array_y1_set_initial[2, 12] := false; array_y1_set_initial[2, 13] := false; array_y1_set_initial[2, 14] := false; array_y1_set_initial[2, 15] := false; array_y1_set_initial[2, 16] := false; array_y1_set_initial[2, 17] := false; array_y1_set_initial[2, 18] := false; array_y1_set_initial[2, 19] := false; array_y1_set_initial[2, 20] := false; array_y1_set_initial[2, 21] := false; array_y1_set_initial[2, 22] := false; array_y1_set_initial[2, 23] := false; array_y1_set_initial[2, 24] := false; array_y1_set_initial[2, 25] := false; array_y1_set_initial[2, 26] := false; array_y1_set_initial[2, 27] := false; array_y1_set_initial[2, 28] := false; array_y1_set_initial[2, 29] := false; array_y1_set_initial[2, 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 := 4; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 5 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 5 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; 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 := 4; term_no := 1; while term_no <= order_diff do array_y2[term_no] := array_y2_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_y2_higher[r_order, term_no] := array_y2_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; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y1[term_no] := array_y1_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_y1_higher[r_order, term_no] := array_y1_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; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 5 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 5 + glob_max_terms do atomall(); subiter := subiter + 1 end do end if; 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 := 5; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[5, iii] := array_y2_higher[5, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 5; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[4, iii] := array_y2_higher[4, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 4; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[3, iii] := array_y2_higher[3, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 3; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 2; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_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 := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 2; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_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 := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 2; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_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 := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[2, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 5; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_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 := 5; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 4; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_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 := 4; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 3; iii := glob_max_terms; while calc_term <= iii do array_y2_higher_work[1, iii] := array_y2_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 := 3; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2_higher_work[1, iii] := array_y2_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_y2_higher_work[ord, iii]; iii := iii - 1 end do; array_y2_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_y2[term_no] := array_y2_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y2_higher[ord, term_no] := array_y2_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y1_higher_work[2, iii] := array_y1_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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_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_y1_higher_work[1, iii] := array_y1_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_y1_higher_work[ord, iii]; iii := iii - 1 end do; array_y1_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_y1[term_no] := array_y1_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y1_higher[ord, term_no] := array_y1_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 ( y2 , x , 4 ) = y1 - 1.0;"); omniout_str(INFO, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); 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, "2013-01-28T18:15:02-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest8"); logitem_str(html_log_file, "diff ( y2 , x , 4 ) = y1 - 1.0;"); logitem_float(html_log_file, x_start); logitem_float(html_log_file, x_end); logitem_float(html_log_file, array_x[1]); logitem_float(html_log_file, glob_h); logitem_integer(html_log_file, Digits); logitem_good_digits(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_max_terms); logitem_float(html_log_file, array_1st_rel_error[1]); logitem_float(html_log_file, array_last_rel_error[1]); logitem_integer(html_log_file, glob_iter); logitem_pole(html_log_file, array_type_pole[1]); if array_type_pole[1] = 1 or array_type_pole[1] = 2 then logitem_float(html_log_file, array_pole[1]); logitem_float(html_log_file, array_pole[2]); 0 else logitem_str(html_log_file, "NA"); logitem_str(html_log_file, "NA"); 0 end if; logitem_time(html_log_file, convfloat(glob_clock_sec)); if glob_percent_done < 100.0 then logitem_time(html_log_file, convfloat(glob_total_exp_sec)); 0 else logitem_str(html_log_file, "Done"); 0 end if; log_revs(html_log_file, " 165 "); logitem_str(html_log_file, "mtest8 diffeq.mxt"); logitem_str(html_log_file, "mtest8 maple results"); logitem_str(html_log_file, "All Tests - All Languages"); logend(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ;"); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logitem_good_digits(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_float(html_log_file, array_1st_rel_error[2]); logitem_float(html_log_file, array_last_rel_error[2]); logditto(html_log_file); logitem_pole(html_log_file, array_type_pole[2]); if array_type_pole[2] = 1 or array_type_pole[2] = 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; logditto(html_log_file); if glob_percent_done < 100.0 then logditto(html_log_file); 0 else logditto(html_log_file); 0 end if; logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); logditto(html_log_file); 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/mtest8postode.ode################# diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.1; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); array_y2_init[1 + 1] := exact_soln_y2p(x_start); array_y2_init[2 + 1] := exact_soln_y2pp(x_start); array_y2_init[3 + 1] := exact_soln_y2ppp(x_start); glob_look_poles := true; glob_max_iter := 20; #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_y1 := proc(x) return(1.0 + sin(x)); end; exact_soln_y2 := proc(x) return(1.0 + sin(x)); end; exact_soln_y2p := proc(x) return( cos(x)); end; exact_soln_y2pp := proc(x) return( -sin(x)); end; exact_soln_y2ppp := proc(x) return( -cos(x)); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 memory used=3.8MB, alloc=3.1MB, time=0.17 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 5 estimated_steps = 5000 step_error = 2.0000000000000000000000000000000e-14 est_needed_step_err = 2.0000000000000000000000000000000e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.4759225582891422933370225621900e-106 max_value3 = 2.4759225582891422933370225621900e-106 value3 = 2.4759225582891422933370225621900e-106 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.4MB, time=0.39 x[1] = 0.1 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.0998334166468281523068141984106 y1[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=11.4MB, alloc=4.4MB, time=0.60 x[1] = 0.101 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.1008283707295679951297521195232 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1008283707295679951297521195232 y1[1] (numeric) = 1.1008283707295679951297521195232 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.4MB, time=0.82 x[1] = 0.102 y2[1] (analytic) = 1.1018232239839455107486422960806 y2[1] (numeric) = 1.1018232239839455107486422960807 absolute error = 1e-31 relative error = 9.0758660575715986125085029519655e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1018232239839455107486422960806 y1[1] (numeric) = 1.1018232239839455107486422960807 absolute error = 1e-31 relative error = 9.0758660575715986125085029519655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.4MB, time=1.03 x[1] = 0.103 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.1028179754151075276904042105046 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1028179754151075276904042105046 y1[1] (numeric) = 1.1028179754151075276904042105046 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=22.8MB, alloc=4.4MB, time=1.24 x[1] = 0.104 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1038126240283026976889707546695 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1038126240283026976889707546695 y1[1] (numeric) = 1.1038126240283026976889707546695 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.4MB, time=1.46 x[1] = 0.105 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1048071688288824904365536000268 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1048071688288824904365536000268 y1[1] (numeric) = 1.1048071688288824904365536000268 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.4MB, time=1.67 x[1] = 0.106 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1058016088223021882320906180187 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1058016088223021882320906180187 y1[1] (numeric) = 1.1058016088223021882320906180187 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=34.3MB, alloc=4.4MB, time=1.89 x[1] = 0.107 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.1067959430141218805258807024164 absolute error = 1e-31 relative error = 9.0350891355520694664192954312661e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1067959430141218805258807024165 y1[1] (numeric) = 1.1067959430141218805258807024164 absolute error = 1e-31 relative error = 9.0350891355520694664192954312661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.4MB, time=2.11 x[1] = 0.108 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1077901704100074583594114490315 absolute error = 1e-31 relative error = 9.0269802595367593550019973401986e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1077901704100074583594114490316 y1[1] (numeric) = 1.1077901704100074583594114490315 absolute error = 1e-31 relative error = 9.0269802595367593550019973401986e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=41.9MB, alloc=4.4MB, time=2.32 x[1] = 0.109 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.1087842900157316086993852530554 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1087842900157316086993852530554 y1[1] (numeric) = 1.1087842900157316086993852530554 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=45.7MB, alloc=4.4MB, time=2.54 x[1] = 0.11 y2[1] (analytic) = 1.1097783008371748086649494900834 y2[1] (numeric) = 1.1097783008371748086649494900834 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1097783008371748086649494900834 y1[1] (numeric) = 1.1097783008371748086649494900834 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.4MB, time=2.76 x[1] = 0.111 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1107722018803263196471365536769 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1107722018803263196471365536769 y1[1] (numeric) = 1.1107722018803263196471365536769 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=53.4MB, alloc=4.4MB, time=2.97 x[1] = 0.112 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1117659921512851813195196301052 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1117659921512851813195196301052 y1[1] (numeric) = 1.1117659921512851813195196301052 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.4MB, time=3.19 x[1] = 0.113 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.1127596706562612055390901996952 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1127596706562612055390901996952 y1[1] (numeric) = 1.1127596706562612055390901996952 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=61.0MB, alloc=4.4MB, time=3.40 x[1] = 0.114 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.1137532364015759701363633639937 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1137532364015759701363633639937 y1[1] (numeric) = 1.1137532364015759701363633639937 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=64.8MB, alloc=4.4MB, time=3.62 x[1] = 0.115 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.1147466883936638125937172087197 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1147466883936638125937172087197 y1[1] (numeric) = 1.1147466883936638125937172087197 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.4MB, time=3.84 x[1] = 0.116 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1157400256390728236109725242508 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1157400256390728236109725242508 y1[1] (numeric) = 1.1157400256390728236109725242508 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.5MB, time=4.06 x[1] = 0.117 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.1167332471444658405572193181459 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.1167332471444658405572193181459 y1[1] (numeric) = 1.1167332471444658405572193181459 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.5MB, time=4.28 x[1] = 0.118 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.117726351916621440807896667961 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.117726351916621440807896667961 y1[1] (numeric) = 1.117726351916621440807896667961 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.5MB, time=4.49 x[1] = 0.119 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1187193389624349349661325773611 absolute error = 1e-31 relative error = 8.9387924671746345133608701960698e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1187193389624349349661325773612 y1[1] (numeric) = 1.1187193389624349349661325773611 absolute error = 1e-31 relative error = 8.9387924671746345133608701960698e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.5MB, time=4.71 x[1] = 0.12 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.1197122072889193599673506142709 absolute error = 1e-31 relative error = 8.9308662841251848826513335689902e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.119712207288919359967350614271 y1[1] (numeric) = 1.1197122072889193599673506142709 absolute error = 1e-31 relative error = 8.9308662841251848826513335689902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.5MB, time=4.93 x[1] = 0.121 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1207049559032064720661502265402 absolute error = 1e-31 relative error = 8.9229550983298090309887713412701e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1207049559032064720661502265403 y1[1] (numeric) = 1.1207049559032064720661502265402 absolute error = 1e-31 relative error = 8.9229550983298090309887713412701e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.5MB, time=5.14 x[1] = 0.122 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.1216975838125477397044677483271 absolute error = 1e-31 relative error = 8.9150588753261930328340981292706e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1216975838125477397044677483272 y1[1] (numeric) = 1.1216975838125477397044677483271 absolute error = 1e-31 relative error = 8.9150588753261930328340981292706e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.5MB, time=5.36 x[1] = 0.123 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.12269009002431533626002522912 absolute error = 1e-31 relative error = 8.9071775807546488470350644036354e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1226900900243153362600252291201 y1[1] (numeric) = 1.12269009002431533626002522912 absolute error = 1e-31 relative error = 8.9071775807546488470350644036354e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.5MB, time=5.58 x[1] = 0.124 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1236824735460031326740743370328 absolute error = 1e-31 relative error = 8.8993111803577523780450147122281e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1236824735460031326740743370329 y1[1] (numeric) = 1.1236824735460031326740743370328 absolute error = 1e-31 relative error = 8.8993111803577523780450147122281e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.5MB, time=5.80 x[1] = 0.125 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.124674733385227689957442708712 absolute error = 1e-31 relative error = 8.8914596399799830326059934059026e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1246747333852276899574427087121 y1[1] (numeric) = 1.124674733385227689957442708712 absolute error = 1e-31 relative error = 8.8914596399799830326059934059026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.5MB, time=6.01 x[1] = 0.126 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.1256668685497292515738902398916 absolute error = 1e-31 relative error = 8.8836229255673647648508380242328e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1256668685497292515738902398917 y1[1] (numeric) = 1.1256668685497292515738902398916 absolute error = 1e-31 relative error = 8.8836229255673647648508380242328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.5MB, time=6.23 x[1] = 0.127 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.1266588780473727356997829333233 absolute error = 2e-31 relative error = 1.7751602006334217205632486644907e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1266588780473727356997829333235 y1[1] (numeric) = 1.1266588780473727356997829333233 absolute error = 2e-31 relative error = 1.7751602006334217205632486644907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.5MB, time=6.45 x[1] = 0.128 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1276507608861487273590920444896 absolute error = 1e-31 relative error = 8.8679938389272566493959020046181e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.1276507608861487273590920444897 y1[1] (numeric) = 1.1276507608861487273590920444896 absolute error = 1e-31 relative error = 8.8679938389272566493959020046181e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.5MB, time=6.66 x[1] = 0.129 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.1286425160741744704327263901838 absolute error = 2e-31 relative error = 1.7720402798192655101599465985807e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.128642516074174470432726390184 y1[1] (numeric) = 1.1286425160741744704327263901838 absolute error = 2e-31 relative error = 1.7720402798192655101599465985807e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.5MB, time=6.88 x[1] = 0.13 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.1296341426196948595412058107081 absolute error = 2e-31 relative error = 1.7704847300045926851243791841683e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1296341426196948595412058107083 y1[1] (numeric) = 1.1296341426196948595412058107081 absolute error = 2e-31 relative error = 1.7704847300045926851243791841683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.5MB, time=7.10 x[1] = 0.131 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.1306256395310834317996839030974 absolute error = 2e-31 relative error = 1.7689321116311156495313525780970e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1306256395310834317996839030976 y1[1] (numeric) = 1.1306256395310834317996839030974 absolute error = 2e-31 relative error = 1.7689321116311156495313525780970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.5MB, time=7.31 x[1] = 0.132 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1316170058168433584443282704299 absolute error = 2e-31 relative error = 1.7673824180084015351276553544295e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1316170058168433584443282704301 y1[1] (numeric) = 1.1316170058168433584443282704299 absolute error = 2e-31 relative error = 1.7673824180084015351276553544295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.5MB, time=7.53 x[1] = 0.133 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1326082404856084363290666609266 absolute error = 2e-31 relative error = 1.7658356424658320646228341664264e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1326082404856084363290666609268 y1[1] (numeric) = 1.1326082404856084363290666609266 absolute error = 2e-31 relative error = 1.7658356424658320646228341664264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.5MB, time=7.75 x[1] = 0.134 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.133599342546144079291707500176 absolute error = 3e-31 relative error = 2.6464376675288011385107075863729e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1335993425461440792917075001763 y1[1] (numeric) = 1.133599342546144079291707500176 absolute error = 3e-31 relative error = 2.6464376675288011385107075863729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.5MB, time=7.97 x[1] = 0.135 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.1345903110073483093884434504463 absolute error = 3e-31 relative error = 2.6441262285559656453037281621985e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1345903110073483093884434504466 y1[1] (numeric) = 1.1345903110073483093884434504463 absolute error = 3e-31 relative error = 2.6441262285559656453037281621985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=144.9MB, alloc=4.5MB, time=8.19 TOP MAIN SOLVE Loop x[1] = 0.136 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.1355811448782527479957467626639 absolute error = 3e-31 relative error = 2.6418191368628564365651747025173e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1355811448782527479957467626642 y1[1] (numeric) = 1.1355811448782527479957467626639 absolute error = 3e-31 relative error = 2.6418191368628564365651747025173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=148.7MB, alloc=4.5MB, time=8.40 TOP MAIN SOLVE Loop x[1] = 0.137 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1365718431680236067786653192458 absolute error = 3e-31 relative error = 2.6395163825613960218884807067368e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1365718431680236067786653192461 y1[1] (numeric) = 1.1365718431680236067786653192458 absolute error = 3e-31 relative error = 2.6395163825613960218884807067368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=152.5MB, alloc=4.5MB, time=8.62 TOP MAIN SOLVE Loop x[1] = 0.138 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.137562404885962678524528399572 absolute error = 3e-31 relative error = 2.6372179557927121121989079471353e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1375624048859626785245283995723 y1[1] (numeric) = 1.137562404885962678524528399572 absolute error = 3e-31 relative error = 2.6372179557927121121989079471353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=156.4MB, alloc=4.5MB, time=8.84 TOP MAIN SOLVE Loop x[1] = 0.139 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1385528290415083278410713344752 absolute error = 3e-31 relative error = 2.6349238467270355507884802880844e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1385528290415083278410713344755 y1[1] (numeric) = 1.1385528290415083278410713344752 absolute error = 3e-31 relative error = 2.6349238467270355507884802880844e-29 % Correct digits = 30 h = 0.001 memory used=160.2MB, alloc=4.5MB, time=9.06 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.5MB, time=9.28 x[1] = 0.14 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.139543114644236481717988351705 absolute error = 4e-31 relative error = 3.5101787274181315499106401304621e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1395431146442364817179883517054 y1[1] (numeric) = 1.139543114644236481717988351705 absolute error = 4e-31 relative error = 3.5101787274181315499106401304621e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.5MB, time=9.50 x[1] = 0.141 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.1405332607038616199509230508973 absolute error = 4e-31 relative error = 3.5071313900407120248516136013066e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1405332607038616199509230508977 y1[1] (numeric) = 1.1405332607038616199509230508973 absolute error = 4e-31 relative error = 3.5071313900407120248516136013066e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.5MB, time=9.71 x[1] = 0.142 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.1415232662302377654269060841399 absolute error = 4e-31 relative error = 3.5040897705130314894359757044950e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1415232662302377654269060841403 y1[1] (numeric) = 1.1415232662302377654269060841399 absolute error = 4e-31 relative error = 3.5040897705130314894359757044950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.5MB, time=9.93 x[1] = 0.143 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.1425131302333594742702497567799 absolute error = 4e-31 relative error = 3.5010538558825979643659816673224e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1425131302333594742702497567803 y1[1] (numeric) = 1.1425131302333594742702497567799 absolute error = 4e-31 relative error = 3.5010538558825979643659816673224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.5MB, time=10.15 x[1] = 0.144 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.1435028517233628258479094026606 absolute error = 4e-31 relative error = 3.4980236332350514968504631484013e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.143502851723362825847909402661 y1[1] (numeric) = 1.1435028517233628258479094026606 absolute error = 4e-31 relative error = 3.4980236332350514968504631484013e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.5MB, time=10.37 x[1] = 0.145 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.1444924297105264126333215285086 absolute error = 3e-31 relative error = 2.6212493172705235309007287963552e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1444924297105264126333215285089 y1[1] (numeric) = 1.1444924297105264126333215285086 absolute error = 3e-31 relative error = 2.6212493172705235309007287963552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.5MB, time=10.58 x[1] = 0.146 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.1454818632052723299277288637163 absolute error = 3e-31 relative error = 2.6189851593157829110918930974284e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1454818632052723299277288637166 y1[1] (numeric) = 1.1454818632052723299277288637163 absolute error = 3e-31 relative error = 2.6189851593157829110918930974284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.5MB, time=10.80 x[1] = 0.147 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1464711512181671654380025942765 absolute error = 3e-31 relative error = 2.6167252414614979451325697530678e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1464711512181671654380025942768 y1[1] (numeric) = 1.1464711512181671654380025942765 absolute error = 3e-31 relative error = 2.6167252414614979451325697530678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.5MB, time=11.02 x[1] = 0.148 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1474602927599229887099722031295 absolute error = 3e-31 relative error = 2.6144695541353029081813945230311e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1474602927599229887099722031298 y1[1] (numeric) = 1.1474602927599229887099722031295 absolute error = 3e-31 relative error = 2.6144695541353029081813945230311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.5MB, time=11.24 x[1] = 0.149 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.1484492868413983404162734836757 absolute error = 3e-31 relative error = 2.6122180877929371938550286650090e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.148449286841398340416273483676 y1[1] (numeric) = 1.1484492868413983404162734836757 absolute error = 3e-31 relative error = 2.6122180877929371938550286650090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.5MB, time=11.45 x[1] = 0.15 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1494381324735992214977254386874 absolute error = 2e-31 relative error = 1.7399805552787651589749040948674e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1494381324735992214977254386876 y1[1] (numeric) = 1.1494381324735992214977254386874 absolute error = 2e-31 relative error = 1.7399805552787651589749040948674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=205.9MB, alloc=4.5MB, time=11.67 x[1] = 0.151 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.150426828667680082157246923326 absolute error = 2e-31 relative error = 1.7384851866817278949332596443547e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1504268286676800821572469233262 y1[1] (numeric) = 1.150426828667680082157246923326 absolute error = 2e-31 relative error = 1.7384851866817278949332596443547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.5MB, time=11.89 x[1] = 0.152 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1514153744349448107053240384301 absolute error = 2e-31 relative error = 1.7369926130971602579104606219113e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1514153744349448107053240384303 y1[1] (numeric) = 1.1514153744349448107053240384301 absolute error = 2e-31 relative error = 1.7369926130971602579104606219113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=213.6MB, alloc=4.5MB, time=12.11 x[1] = 0.153 y2[1] (analytic) = 1.1524037687868477222560394286898 y2[1] (numeric) = 1.1524037687868477222560394286896 absolute error = 2e-31 relative error = 1.7355028282365209627058239978425e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1524037687868477222560394286898 y1[1] (numeric) = 1.1524037687868477222560394286896 absolute error = 2e-31 relative error = 1.7355028282365209627058239978425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.5MB, time=12.32 x[1] = 0.154 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1533920107349945472726747897585 absolute error = 2e-31 relative error = 1.7340158258296828526934731859158e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1533920107349945472726747897587 y1[1] (numeric) = 1.1533920107349945472726747897585 absolute error = 2e-31 relative error = 1.7340158258296828526934731859158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=221.2MB, alloc=4.5MB, time=12.54 x[1] = 0.155 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1543800992911434199618980387871 absolute error = 2e-31 relative error = 1.7325315996248691609618243490126e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1543800992911434199618980387873 y1[1] (numeric) = 1.1543800992911434199618980387871 absolute error = 2e-31 relative error = 1.7325315996248691609618243490126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.5MB, time=12.76 x[1] = 0.156 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.1553680334672058665155467542679 absolute error = 2e-31 relative error = 1.7310501433885900301486637527093e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1553680334672058665155467542681 y1[1] (numeric) = 1.1553680334672058665155467542679 absolute error = 2e-31 relative error = 1.7310501433885900301486637527093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=228.8MB, alloc=4.5MB, time=12.98 x[1] = 0.157 y2[1] (analytic) = 1.1563558122752477931990196434946 y2[1] (numeric) = 1.1563558122752477931990196434944 absolute error = 2e-31 relative error = 1.7295714509055792897750513105435e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1563558122752477931990196434946 y1[1] (numeric) = 1.1563558122752477931990196434944 absolute error = 2e-31 relative error = 1.7295714509055792897750513105435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=232.6MB, alloc=4.5MB, time=13.20 x[1] = 0.158 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.1573434347274904742852879493244 absolute error = 2e-31 relative error = 1.7280955159787314898875152978251e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1573434347274904742852879493246 y1[1] (numeric) = 1.1573434347274904742852879493244 absolute error = 2e-31 relative error = 1.7280955159787314898875152978251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=236.5MB, alloc=4.5MB, time=13.41 x[1] = 0.159 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.1583308998363115398335388623173 absolute error = 2e-31 relative error = 1.7266223324290391898241970425430e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1583308998363115398335388623175 y1[1] (numeric) = 1.1583308998363115398335388623173 absolute error = 2e-31 relative error = 1.7266223324290391898241970425430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=240.3MB, alloc=4.5MB, time=13.63 x[1] = 0.16 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.1593182066142459633114631596857 absolute error = 3e-31 relative error = 2.5877278411432957513901436913893e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.159318206614245963311463159686 y1[1] (numeric) = 1.1593182066142459633114631596857 absolute error = 3e-31 relative error = 2.5877278411432957513901436913893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.5MB, time=13.85 x[1] = 0.161 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1603053540739870490601994488552 absolute error = 3e-31 relative error = 2.5855262922528103230390297280715e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1603053540739870490601994488555 y1[1] (numeric) = 1.1603053540739870490601994488552 absolute error = 3e-31 relative error = 2.5855262922528103230390297280715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=247.9MB, alloc=4.5MB, time=14.06 x[1] = 0.162 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1612923412283874196009475507705 absolute error = 3e-31 relative error = 2.5833288427844717798029054391444e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1612923412283874196009475507708 y1[1] (numeric) = 1.1612923412283874196009475507705 absolute error = 3e-31 relative error = 2.5833288427844717798029054391444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=251.7MB, alloc=4.5MB, time=14.28 x[1] = 0.163 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1622791670904600027822637164166 absolute error = 3e-31 relative error = 2.5811354835774239399872050079300e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1622791670904600027822637164169 y1[1] (numeric) = 1.1622791670904600027822637164166 absolute error = 3e-31 relative error = 2.5811354835774239399872050079300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.5MB, time=14.50 x[1] = 0.164 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1632658306733790187670505293432 absolute error = 3e-31 relative error = 2.5789462054974929803354491409453e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1632658306733790187670505293435 y1[1] (numeric) = 1.1632658306733790187670505293432 absolute error = 3e-31 relative error = 2.5789462054974929803354491409453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=259.4MB, alloc=4.5MB, time=14.72 x[1] = 0.165 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.1642523309904809668582545072826 absolute error = 3e-31 relative error = 2.5767609994370956285008279293634e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1642523309904809668582545072829 y1[1] (numeric) = 1.1642523309904809668582545072826 absolute error = 3e-31 relative error = 2.5767609994370956285008279293634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.5MB, time=14.94 x[1] = 0.166 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1652386670552656121622845772479 absolute error = 3e-31 relative error = 2.5745798563151477260238023773691e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1652386670552656121622845772482 y1[1] (numeric) = 1.1652386670552656121622845772479 absolute error = 3e-31 relative error = 2.5745798563151477260238023773691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=267.0MB, alloc=4.5MB, time=15.15 x[1] = 0.167 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.1662248378813969720891647607738 absolute error = 3e-31 relative error = 2.5724027670769731601116353933485e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1662248378813969720891647607741 y1[1] (numeric) = 1.1662248378813969720891647607738 absolute error = 3e-31 relative error = 2.5724027670769731601116353933485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.5MB, time=15.38 x[1] = 0.168 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.1672108424827043026884345692301 absolute error = 2e-31 relative error = 1.7134864817961421083497219513653e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1672108424827043026884345692303 y1[1] (numeric) = 1.1672108424827043026884345692301 absolute error = 2e-31 relative error = 1.7134864817961421083497219513653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=274.6MB, alloc=4.5MB, time=15.60 x[1] = 0.169 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1681966798731830848198107733895 absolute error = 3e-31 relative error = 2.5680607141647359738822451472561e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1681966798731830848198107733898 y1[1] (numeric) = 1.1681966798731830848198107733895 absolute error = 3e-31 relative error = 2.5680607141647359738822451472561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=278.4MB, alloc=4.5MB, time=15.81 x[1] = 0.17 y2[1] (analytic) = 1.1691823490669960101576243766708 y2[1] (numeric) = 1.1691823490669960101576243766706 absolute error = 2e-31 relative error = 1.7105971550083645811415309402222e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1691823490669960101576243766708 y1[1] (numeric) = 1.1691823490669960101576243766706 absolute error = 2e-31 relative error = 1.7105971550083645811415309402222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=282.2MB, alloc=4.5MB, time=16.03 x[1] = 0.171 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1701678490784739670280467877002 absolute error = 3e-31 relative error = 2.5637347687876985605724815879565e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1701678490784739670280467877005 y1[1] (numeric) = 1.1701678490784739670280467877002 absolute error = 3e-31 relative error = 2.5637347687876985605724815879565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=286.1MB, alloc=4.5MB, time=16.25 x[1] = 0.172 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1711531789221170260781193550524 absolute error = 3e-31 relative error = 2.5615778140662019225853854185400e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1711531789221170260781193550527 y1[1] (numeric) = 1.1711531789221170260781193550524 absolute error = 3e-31 relative error = 2.5615778140662019225853854185400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.5MB, time=16.47 x[1] = 0.173 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1721383376125954257756005952156 absolute error = 3e-31 relative error = 2.5594248594499371267340512344537e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1721383376125954257756005952159 y1[1] (numeric) = 1.1721383376125954257756005952156 absolute error = 3e-31 relative error = 2.5594248594499371267340512344537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.5MB, time=16.69 x[1] = 0.174 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1731233241647505577386456140233 absolute error = 3e-31 relative error = 2.5572758960665650952750460078644e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1731233241647505577386456140236 y1[1] (numeric) = 1.1731233241647505577386456140233 absolute error = 3e-31 relative error = 2.5572758960665650952750460078644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=297.5MB, alloc=4.5MB, time=16.90 x[1] = 0.175 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1741081375935959518943323919511 absolute error = 3e-31 relative error = 2.5551309150694393256340404609941e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1741081375935959518943323919514 y1[1] (numeric) = 1.1741081375935959518943323919511 absolute error = 3e-31 relative error = 2.5551309150694393256340404609941e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.5MB, time=17.12 x[1] = 0.176 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.1750927769143182614650497748356 absolute error = 3e-31 relative error = 2.5529899076375180661573963090126e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1750927769143182614650497748359 y1[1] (numeric) = 1.1750927769143182614650497748356 absolute error = 3e-31 relative error = 2.5529899076375180661573963090126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=305.1MB, alloc=4.5MB, time=17.34 x[1] = 0.177 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.1760772411422782477817621837094 absolute error = 3e-31 relative error = 2.5508528649752768441016278506798e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1760772411422782477817621837097 y1[1] (numeric) = 1.1760772411422782477817621837094 absolute error = 3e-31 relative error = 2.5508528649752768441016278506798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=308.9MB, alloc=4.5MB, time=17.55 x[1] = 0.178 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1770615292930117649231662305694 absolute error = 3e-31 relative error = 2.5487197783126213442509323961888e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1770615292930117649231662305697 y1[1] (numeric) = 1.1770615292930117649231662305694 absolute error = 3e-31 relative error = 2.5487197783126213442509323961888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.5MB, time=17.77 x[1] = 0.179 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1780456403822307441797546010043 absolute error = 3e-31 relative error = 2.5465906389048006365612637242961e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1780456403822307441797546010046 y1[1] (numeric) = 1.1780456403822307441797546010043 absolute error = 3e-31 relative error = 2.5465906389048006365612637242961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=316.6MB, alloc=4.5MB, time=17.99 x[1] = 0.18 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.1790295734258241783418027396989 absolute error = 3e-31 relative error = 2.5444654380323207512376551905900e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1790295734258241783418027396992 y1[1] (numeric) = 1.1790295734258241783418027396989 absolute error = 3e-31 relative error = 2.5444654380323207512376551905900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.5MB, time=18.21 x[1] = 0.181 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.1800133274398591058102940509105 absolute error = 3e-31 relative error = 2.5423441670008585996596845623876e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1800133274398591058102940509108 y1[1] (numeric) = 1.1800133274398591058102940509105 absolute error = 3e-31 relative error = 2.5423441670008585996596845623876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.5MB, time=18.42 x[1] = 0.182 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1809969014405815945297995030751 absolute error = 4e-31 relative error = 3.3869690895215683194374819040120e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1809969014405815945297995030755 y1[1] (numeric) = 1.1809969014405815945297995030751 absolute error = 4e-31 relative error = 3.3869690895215683194374819040120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=328.0MB, alloc=4.5MB, time=18.64 x[1] = 0.183 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.1819802944444177257423277047448 absolute error = 3e-31 relative error = 2.5381133798090354830138104117819e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1819802944444177257423277047451 y1[1] (numeric) = 1.1819802944444177257423277047448 absolute error = 3e-31 relative error = 2.5381133798090354830138104117819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.5MB, time=18.86 x[1] = 0.184 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.1829635054679745775611616980884 absolute error = 3e-31 relative error = 2.5360038463851128452981697117760e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1829635054679745775611616980887 y1[1] (numeric) = 1.1829635054679745775611616980884 absolute error = 3e-31 relative error = 2.5360038463851128452981697117760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=335.6MB, alloc=4.5MB, time=19.07 x[1] = 0.185 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1839465335280412083636988962012 absolute error = 2e-31 relative error = 1.6892654721832765558014166358071e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1839465335280412083636988962014 y1[1] (numeric) = 1.1839465335280412083636988962012 absolute error = 2e-31 relative error = 1.6892654721832765558014166358071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.5MB, time=19.29 x[1] = 0.186 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1849293776415896400023107714651 absolute error = 2e-31 relative error = 1.6878643046057957160726355389694e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1849293776415896400023107714653 y1[1] (numeric) = 1.1849293776415896400023107714651 absolute error = 2e-31 relative error = 1.6878643046057957160726355389694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.5MB, time=19.51 x[1] = 0.187 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.1859120368257758408322390841817 absolute error = 3e-31 relative error = 2.5296985837413627741938625368719e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.185912036825775840832239084182 y1[1] (numeric) = 1.1859120368257758408322390841817 absolute error = 3e-31 relative error = 2.5296985837413627741938625368719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=347.1MB, alloc=4.5MB, time=19.72 x[1] = 0.188 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.186894510097940708555545623664 absolute error = 3e-31 relative error = 2.5276045802524140215812743873119e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1868945100979407085555456236643 y1[1] (numeric) = 1.186894510097940708555545623664 absolute error = 3e-31 relative error = 2.5276045802524140215812743873119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.5MB, time=19.94 x[1] = 0.189 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.1878767964756110528801326179187 absolute error = 3e-31 relative error = 2.5255144379458334154585218586891e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.187876796475611052880132617919 y1[1] (numeric) = 1.1878767964756110528801326179187 absolute error = 3e-31 relative error = 2.5255144379458334154585218586891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.5MB, time=20.16 x[1] = 0.19 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.188858894976500577992851152981 absolute error = 3e-31 relative error = 2.5234281483500185301324555349713e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1888588949765005779928511529813 y1[1] (numeric) = 1.188858894976500577992851152981 absolute error = 3e-31 relative error = 2.5234281483500185301324555349713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=4.5MB, time=20.37 x[1] = 0.191 y2[1] (analytic) = 1.189840804618510864845715128875 y2[1] (numeric) = 1.1898408046185108648457151288747 absolute error = 3e-31 relative error = 2.5213457030176957090231857719656e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.189840804618510864845715128875 y1[1] (numeric) = 1.1898408046185108648457151288747 absolute error = 3e-31 relative error = 2.5213457030176957090231857719656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.5MB, time=20.59 x[1] = 0.192 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.1908225244197323532542384660664 absolute error = 4e-31 relative error = 3.3590227913677835834625003332216e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1908225244197323532542384660668 y1[1] (numeric) = 1.1908225244197323532542384660664 absolute error = 4e-31 relative error = 3.3590227913677835834625003332216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=366.2MB, alloc=4.5MB, time=20.81 x[1] = 0.193 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1918040533984453238069134641574 absolute error = 4e-31 relative error = 3.3562564153007753916628540918767e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1918040533984453238069134641578 y1[1] (numeric) = 1.1918040533984453238069134641574 absolute error = 4e-31 relative error = 3.3562564153007753916628540918767e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.5MB, time=21.02 x[1] = 0.194 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.1927853905731208795848484034175 absolute error = 4e-31 relative error = 3.3534951313228626321896299065328e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1927853905731208795848484034179 y1[1] (numeric) = 1.1927853905731208795848484034175 absolute error = 4e-31 relative error = 3.3534951313228626321896299065328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=373.8MB, alloc=4.5MB, time=21.24 TOP MAIN SOLVE Loop x[1] = 0.195 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.193766534962421927690582669605 absolute error = 4e-31 relative error = 3.3507389282996731934168557094645e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1937665349624219276905826696054 y1[1] (numeric) = 1.193766534962421927690582669605 absolute error = 4e-31 relative error = 3.3507389282996731934168557094645e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=377.6MB, alloc=4.5MB, time=21.46 TOP MAIN SOLVE Loop x[1] = 0.196 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1947474855852041605850978733385 absolute error = 3e-31 relative error = 2.5109908463465463662615743950784e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1947474855852041605850978733388 y1[1] (numeric) = 1.1947474855852041605850978733385 absolute error = 3e-31 relative error = 2.5109908463465463662615743950784e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=381.4MB, alloc=4.5MB, time=21.68 TOP MAIN SOLVE Loop x[1] = 0.197 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.1957282414605170372320436270927 absolute error = 4e-31 relative error = 3.3452417207393357818501985301949e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1957282414605170372320436270931 y1[1] (numeric) = 1.1957282414605170372320436270927 absolute error = 4e-31 relative error = 3.3452417207393357818501985301949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=385.2MB, alloc=4.5MB, time=21.89 TOP MAIN SOLVE Loop x[1] = 0.198 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1967088016076047640481968356732 absolute error = 3e-31 relative error = 2.5068755205693607085173036790858e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1967088016076047640481968356735 y1[1] (numeric) = 1.1967088016076047640481968356732 absolute error = 3e-31 relative error = 2.5068755205693607085173036790858e-29 % Correct digits = 30 h = 0.001 memory used=389.1MB, alloc=4.5MB, time=22.11 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.6MB, time=22.33 x[1] = 0.199 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1976891650459072756591735497925 absolute error = 3e-31 relative error = 2.5048235281355412243512264345267e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1976891650459072756591735497928 y1[1] (numeric) = 1.1976891650459072756591735497925 absolute error = 3e-31 relative error = 2.5048235281355412243512264345267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.6MB, time=22.55 x[1] = 0.2 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1986693307950612154594126271181 absolute error = 3e-31 relative error = 2.5027753050210606656367468154235e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1986693307950612154594126271184 y1[1] (numeric) = 1.1986693307950612154594126271181 absolute error = 3e-31 relative error = 2.5027753050210606656367468154235e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.6MB, time=22.76 x[1] = 0.201 y2[1] (analytic) = 1.1996492978749009159754506408903 y2[1] (numeric) = 1.19964929787490091597545064089 absolute error = 3e-31 relative error = 2.5007308430174558713853578773341e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.1996492978749009159754506408903 y1[1] (numeric) = 1.19964929787490091597545064089 absolute error = 3e-31 relative error = 2.5007308430174558713853578773341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.6MB, time=22.98 x[1] = 0.202 y2[1] (analytic) = 1.2006290653054593790315076729148 y2[1] (numeric) = 1.2006290653054593790315076729145 absolute error = 3e-31 relative error = 2.4986901339397040694618060575127e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2006290653054593790315076729148 y1[1] (numeric) = 1.2006290653054593790315076729145 absolute error = 3e-31 relative error = 2.4986901339397040694618060575127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.6MB, time=23.20 x[1] = 0.203 y2[1] (analytic) = 1.2016086321069692557164038254306 y2[1] (numeric) = 1.2016086321069692557164038254304 absolute error = 2e-31 relative error = 1.6644354464174293474189416797530e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2016086321069692557164038254306 y1[1] (numeric) = 1.2016086321069692557164038254304 absolute error = 2e-31 relative error = 1.6644354464174293474189416797530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.6MB, time=23.41 x[1] = 0.204 y2[1] (analytic) = 1.2025879972998638261508264850126 y2[1] (numeric) = 1.2025879972998638261508264850123 absolute error = 3e-31 relative error = 2.4946199419383974771354711258710e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2025879972998638261508264850126 y1[1] (numeric) = 1.2025879972998638261508264850123 absolute error = 3e-31 relative error = 2.4946199419383974771354711258710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.6MB, time=23.63 x[1] = 0.205 y2[1] (analytic) = 1.2035671599047779790539685713266 y2[1] (numeric) = 1.2035671599047779790539685713264 absolute error = 2e-31 relative error = 1.6617269618408606293038068597985e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2035671599047779790539685713266 y1[1] (numeric) = 1.2035671599047779790539685713264 absolute error = 2e-31 relative error = 1.6617269618408606293038068597985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.6MB, time=23.84 x[1] = 0.206 y2[1] (analytic) = 1.2045461189425491911085582041808 y2[1] (numeric) = 1.2045461189425491911085582041805 absolute error = 3e-31 relative error = 2.4905646640027777587679077758650e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2045461189425491911085582041808 y1[1] (numeric) = 1.2045461189425491911085582041805 absolute error = 3e-31 relative error = 2.4905646640027777587679077758650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.6MB, time=24.06 x[1] = 0.207 y2[1] (analytic) = 1.2055248734342185061233004239223 y2[1] (numeric) = 1.2055248734342185061233004239221 absolute error = 2e-31 relative error = 1.6590283983959069812012062643576e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2055248734342185061233004239223 y1[1] (numeric) = 1.2055248734342185061233004239221 absolute error = 2e-31 relative error = 1.6590283983959069812012062643576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.6MB, time=24.28 x[1] = 0.208 y2[1] (analytic) = 1.206503422401031513991751802823 y2[1] (numeric) = 1.2065034224010315139917518028228 absolute error = 2e-31 relative error = 1.6576828236590090231090165001699e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.206503422401031513991751802823 y1[1] (numeric) = 1.2065034224010315139917518028228 absolute error = 2e-31 relative error = 1.6576828236590090231090165001699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=431.0MB, alloc=4.6MB, time=24.50 x[1] = 0.209 y2[1] (analytic) = 1.2074817648644393294466489886571 y2[1] (numeric) = 1.2074817648644393294466489886569 absolute error = 2e-31 relative error = 1.6563397131090708621783706063095e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2074817648644393294466489886571 y1[1] (numeric) = 1.2074817648644393294466489886569 absolute error = 2e-31 relative error = 1.6563397131090708621783706063095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.6MB, time=24.71 x[1] = 0.21 y2[1] (analytic) = 1.2084598998460995706087124262276 y2[1] (numeric) = 1.2084598998460995706087124262274 absolute error = 2e-31 relative error = 1.6549990614125508560057056837875e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2084598998460995706087124262276 y1[1] (numeric) = 1.2084598998460995706087124262274 absolute error = 2e-31 relative error = 1.6549990614125508560057056837875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.6MB, time=24.93 x[1] = 0.211 y2[1] (analytic) = 1.2094378263678773373289467081163 y2[1] (numeric) = 1.209437826367877337328946708116 absolute error = 3e-31 relative error = 2.4804912948766028318128394312890e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2094378263678773373289467081163 y1[1] (numeric) = 1.209437826367877337328946708116 absolute error = 3e-31 relative error = 2.4804912948766028318128394312890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.6MB, time=25.14 x[1] = 0.212 y2[1] (analytic) = 1.2104155434518461893234592124401 y2[1] (numeric) = 1.2104155434518461893234592124398 absolute error = 3e-31 relative error = 2.4784876699820309487164607134986e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2104155434518461893234592124401 y1[1] (numeric) = 1.2104155434518461893234592124398 absolute error = 3e-31 relative error = 2.4784876699820309487164607134986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.6MB, time=25.36 x[1] = 0.213 y2[1] (analytic) = 1.2113930501202891240998188928769 y2[1] (numeric) = 1.2113930501202891240998188928766 absolute error = 3e-31 relative error = 2.4764877095027955316236476580116e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2113930501202891240998188928769 y1[1] (numeric) = 1.2113930501202891240998188928766 absolute error = 3e-31 relative error = 2.4764877095027955316236476580116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.6MB, time=25.58 x[1] = 0.214 y2[1] (analytic) = 1.212370345395699554673977294682 y2[1] (numeric) = 1.2123703453956995546739772946817 absolute error = 3e-31 relative error = 2.4744914055290958579059871443746e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.212370345395699554673977294682 y1[1] (numeric) = 1.2123703453956995546739772946817 absolute error = 3e-31 relative error = 2.4744914055290958579059871443746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.6MB, time=25.79 x[1] = 0.215 y2[1] (analytic) = 1.2133474283007822870767740798571 y2[1] (numeric) = 1.2133474283007822870767740798568 absolute error = 3e-31 relative error = 2.4724987501735703775096542574159e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2133474283007822870767740798571 y1[1] (numeric) = 1.2133474283007822870767740798568 absolute error = 3e-31 relative error = 2.4724987501735703775096542574159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=457.7MB, alloc=4.6MB, time=26.01 x[1] = 0.216 y2[1] (analytic) = 1.2143242978584544976490495550473 y2[1] (numeric) = 1.214324297858454497649049555047 absolute error = 3e-31 relative error = 2.4705097355712218002446182934138e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2143242978584544976490495550473 y1[1] (numeric) = 1.214324297858454497649049555047 absolute error = 3e-31 relative error = 2.4705097355712218002446182934138e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.6MB, time=26.23 x[1] = 0.217 y2[1] (analytic) = 1.2153009530918467101243869071349 y2[1] (numeric) = 1.2153009530918467101243869071346 absolute error = 3e-31 relative error = 2.4685243538793424769364552180713e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2153009530918467101243869071349 y1[1] (numeric) = 1.2153009530918467101243869071346 absolute error = 3e-31 relative error = 2.4685243538793424769364552180713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=465.3MB, alloc=4.6MB, time=26.44 x[1] = 0.218 y2[1] (analytic) = 1.2162773930243037724985070638692 y2[1] (numeric) = 1.2162773930243037724985070638688 absolute error = 4e-31 relative error = 3.2887234630365867641707096089956e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2162773930243037724985070638692 y1[1] (numeric) = 1.2162773930243037724985070638688 absolute error = 4e-31 relative error = 3.2887234630365867641707096089956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.6MB, time=26.66 x[1] = 0.219 y2[1] (analytic) = 1.2172536166793858336843393102186 y2[1] (numeric) = 1.2172536166793858336843393102182 absolute error = 4e-31 relative error = 3.2860859439562180453665751932447e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2172536166793858336843393102186 y1[1] (numeric) = 1.2172536166793858336843393102182 absolute error = 4e-31 relative error = 3.2860859439562180453665751932447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.6MB, time=26.88 x[1] = 0.22 y2[1] (analytic) = 1.218229623080869319951791005457 y2[1] (numeric) = 1.2182296230808693199517910054567 absolute error = 3e-31 relative error = 2.4625899281722293393850446163784e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.218229623080869319951791005457 y1[1] (numeric) = 1.2182296230808693199517910054567 absolute error = 3e-31 relative error = 2.4625899281722293393850446163784e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.6MB, time=27.10 x[1] = 0.221 y2[1] (analytic) = 1.2192054112527479111512399612945 y2[1] (numeric) = 1.2192054112527479111512399612942 absolute error = 3e-31 relative error = 2.4606190001383480470592989336506e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2192054112527479111512399612945 y1[1] (numeric) = 1.2192054112527479111512399612942 absolute error = 3e-31 relative error = 2.4606190001383480470592989336506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.6MB, time=27.31 x[1] = 0.222 y2[1] (analytic) = 1.220180980219233516719773257642 y2[1] (numeric) = 1.2201809802192335167197732576417 absolute error = 3e-31 relative error = 2.4586516661331511238969643960596e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.220180980219233516719773257642 y1[1] (numeric) = 1.2201809802192335167197732576417 absolute error = 3e-31 relative error = 2.4586516661331511238969643960596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=484.4MB, alloc=4.6MB, time=27.53 x[1] = 0.223 y2[1] (analytic) = 1.221156329004757251469196489853 y2[1] (numeric) = 1.2211563290047572514691964898527 absolute error = 3e-31 relative error = 2.4566879184461180627354509157203e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.221156329004757251469196489853 y1[1] (numeric) = 1.2211563290047572514691964898527 absolute error = 3e-31 relative error = 2.4566879184461180627354509157203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.6MB, time=27.75 x[1] = 0.224 y2[1] (analytic) = 1.2221314566339704111548376595133 y2[1] (numeric) = 1.222131456633970411154837659513 absolute error = 3e-31 relative error = 2.4547277493885037842009206559506e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2221314566339704111548376595133 y1[1] (numeric) = 1.222131456633970411154837659513 absolute error = 3e-31 relative error = 2.4547277493885037842009206559506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.6MB, time=27.96 x[1] = 0.225 y2[1] (analytic) = 1.2231063621317454478241701400572 y2[1] (numeric) = 1.2231063621317454478241701400569 absolute error = 3e-31 relative error = 2.4527711512932663220524260972011e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2231063621317454478241701400572 y1[1] (numeric) = 1.2231063621317454478241701400569 absolute error = 3e-31 relative error = 2.4527711512932663220524260972011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.6MB, time=28.18 x[1] = 0.226 y2[1] (analytic) = 1.2240810445231769449442793686679 y2[1] (numeric) = 1.2240810445231769449442793686676 absolute error = 3e-31 relative error = 2.4508181165149947908086322031029e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2240810445231769449442793686679 y1[1] (numeric) = 1.2240810445231769449442793686676 absolute error = 3e-31 relative error = 2.4508181165149947908086322031029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.6MB, time=28.39 x[1] = 0.227 y2[1] (analytic) = 1.2250555028335825923071981370765 y2[1] (numeric) = 1.2250555028335825923071981370762 absolute error = 3e-31 relative error = 2.4488686374298376344024940701928e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2250555028335825923071981370765 y1[1] (numeric) = 1.2250555028335825923071981370762 absolute error = 3e-31 relative error = 2.4488686374298376344024940701928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.6MB, time=28.61 x[1] = 0.228 y2[1] (analytic) = 1.2260297360885041607121355760063 y2[1] (numeric) = 1.226029736088504160712135576006 absolute error = 3e-31 relative error = 2.4469227064354311546155393252490e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2260297360885041607121355760063 y1[1] (numeric) = 1.226029736088504160712135576006 absolute error = 3e-31 relative error = 2.4469227064354311546155393252490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.6MB, time=28.83 x[1] = 0.229 y2[1] (analytic) = 1.2270037433137084764236251511138 y2[1] (numeric) = 1.2270037433137084764236251511135 absolute error = 3e-31 relative error = 2.4449803159508283180496475482977e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2270037433137084764236251511138 y1[1] (numeric) = 1.2270037433137084764236251511135 absolute error = 3e-31 relative error = 2.4449803159508283180496475482977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=511.1MB, alloc=4.6MB, time=29.05 x[1] = 0.23 y2[1] (analytic) = 1.2279775235351883954046172123601 y2[1] (numeric) = 1.2279775235351883954046172123598 absolute error = 3e-31 relative error = 2.4430414584164278404004273601661e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2279775235351883954046172123601 y1[1] (numeric) = 1.2279775235351883954046172123598 absolute error = 3e-31 relative error = 2.4430414584164278404004273601661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.6MB, time=29.26 x[1] = 0.231 y2[1] (analytic) = 1.2289510757791637773235418638014 y2[1] (numeric) = 1.2289510757791637773235418638011 absolute error = 3e-31 relative error = 2.4411061262939035468024657324634e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2289510757791637773235418638014 y1[1] (numeric) = 1.2289510757791637773235418638011 absolute error = 3e-31 relative error = 2.4411061262939035468024657324634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.6MB, time=29.48 x[1] = 0.232 y2[1] (analytic) = 1.2299243990720824593343681468164 y2[1] (numeric) = 1.2299243990720824593343681468162 absolute error = 2e-31 relative error = 1.6261162080440893380152425101279e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2299243990720824593343681468164 y1[1] (numeric) = 1.2299243990720824593343681468162 absolute error = 2e-31 relative error = 1.6261162080440893380152425101279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.6MB, time=29.69 x[1] = 0.233 y2[1] (analytic) = 1.2308974924406212296286857567934 y2[1] (numeric) = 1.2308974924406212296286857567932 absolute error = 2e-31 relative error = 1.6248306721580882961903858943400e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2308974924406212296286857567934 y1[1] (numeric) = 1.2308974924406212296286857567932 absolute error = 2e-31 relative error = 1.6248306721580882961903858943400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.6MB, time=29.91 x[1] = 0.234 y2[1] (analytic) = 1.2318703549116868007588357412751 y2[1] (numeric) = 1.2318703549116868007588357412749 absolute error = 2e-31 relative error = 1.6235474715546512776767766118889e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2318703549116868007588357412751 y1[1] (numeric) = 1.2318703549116868007588357412749 absolute error = 2e-31 relative error = 1.6235474715546512776767766118889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.6MB, time=30.13 x[1] = 0.235 y2[1] (analytic) = 1.2328429855124167827311168565134 y2[1] (numeric) = 1.2328429855124167827311168565132 absolute error = 2e-31 relative error = 1.6222666012644938458630272975929e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2328429855124167827311168565134 y1[1] (numeric) = 1.2328429855124167827311168565132 absolute error = 2e-31 relative error = 1.6222666012644938458630272975929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.6MB, time=30.34 x[1] = 0.236 y2[1] (analytic) = 1.2338153832701806558680944893074 y2[1] (numeric) = 1.2338153832701806558680944893072 absolute error = 2e-31 relative error = 1.6209880563322822372249481740872e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2338153832701806558680944893074 y1[1] (numeric) = 1.2338153832701806558680944893072 absolute error = 2e-31 relative error = 1.6209880563322822372249481740872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.6MB, time=30.56 x[1] = 0.237 y2[1] (analytic) = 1.2347875472125807434390392818975 y2[1] (numeric) = 1.2347875472125807434390392818972 absolute error = 3e-31 relative error = 2.4295677477248810332820213897702e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2347875472125807434390392818975 y1[1] (numeric) = 1.2347875472125807434390392818972 absolute error = 3e-31 relative error = 2.4295677477248810332820213897702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.6MB, time=30.77 x[1] = 0.238 y2[1] (analytic) = 1.2357594763674531840575228295574 y2[1] (numeric) = 1.2357594763674531840575228295571 absolute error = 3e-31 relative error = 2.4276568841847584166185633864967e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2357594763674531840575228295574 y1[1] (numeric) = 1.2357594763674531840575228295571 absolute error = 3e-31 relative error = 2.4276568841847584166185633864967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.6MB, time=30.99 x[1] = 0.239 y2[1] (analytic) = 1.2367311697628689038451980533704 y2[1] (numeric) = 1.2367311697628689038451980533702 absolute error = 2e-31 relative error = 1.6171663243382799377127110748054e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2367311697628689038451980533704 y1[1] (numeric) = 1.2367311697628689038451980533702 absolute error = 2e-31 relative error = 1.6171663243382799377127110748054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.6MB, time=31.20 x[1] = 0.24 y2[1] (analytic) = 1.2377026264271345883607920844898 y2[1] (numeric) = 1.2377026264271345883607920844896 absolute error = 2e-31 relative error = 1.6158970315619209864958087473642e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2377026264271345883607920844898 y1[1] (numeric) = 1.2377026264271345883607920844896 absolute error = 2e-31 relative error = 1.6158970315619209864958087473642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.6MB, time=31.42 x[1] = 0.241 y2[1] (analytic) = 1.2386738453887936542933397309712 y2[1] (numeric) = 1.238673845388793654293339730971 absolute error = 2e-31 relative error = 1.6146300395744951622693157610260e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2386738453887936542933397309712 y1[1] (numeric) = 1.238673845388793654293339730971 absolute error = 2e-31 relative error = 1.6146300395744951622693157610260e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.6MB, time=31.64 x[1] = 0.242 y2[1] (analytic) = 1.2396448256766272209186858340254 y2[1] (numeric) = 1.2396448256766272209186858340252 absolute error = 2e-31 relative error = 1.6133653435034128354456405095355e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2396448256766272209186858340254 y1[1] (numeric) = 1.2396448256766272209186858340252 absolute error = 2e-31 relative error = 1.6133653435034128354456405095355e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.6MB, time=31.85 x[1] = 0.243 y2[1] (analytic) = 1.2406155663196550813182850572694 y2[1] (numeric) = 1.2406155663196550813182850572692 absolute error = 2e-31 relative error = 1.6121029384897167283355070408938e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2406155663196550813182850572694 y1[1] (numeric) = 1.2406155663196550813182850572692 absolute error = 2e-31 relative error = 1.6121029384897167283355070408938e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.6MB, time=32.07 x[1] = 0.244 y2[1] (analytic) = 1.2415860663471366733593278902572 y2[1] (numeric) = 1.2415860663471366733593278902571 absolute error = 1e-31 relative error = 8.0542140984401857094807921947445e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2415860663471366733593278902572 y1[1] (numeric) = 1.2415860663471366733593278902571 absolute error = 1e-31 relative error = 8.0542140984401857094807921947445e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=568.3MB, alloc=4.6MB, time=32.28 x[1] = 0.245 y2[1] (analytic) = 1.2425563247885720504352218862454 y2[1] (numeric) = 1.2425563247885720504352218862453 absolute error = 1e-31 relative error = 8.0479249113327367773484065154574e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2425563247885720504352218862454 y1[1] (numeric) = 1.2425563247885720504352218862453 absolute error = 1e-31 relative error = 8.0479249113327367773484065154574e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.6MB, time=32.50 x[1] = 0.246 y2[1] (analytic) = 1.2435263406737028519654573937924 y2[1] (numeric) = 1.2435263406737028519654573937923 absolute error = 1e-31 relative error = 8.0416471070345959937535564108913e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2435263406737028519654573937924 y1[1] (numeric) = 1.2435263406737028519654573937923 absolute error = 1e-31 relative error = 8.0416471070345959937535564108913e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.6MB, time=32.71 x[1] = 0.247 y2[1] (analytic) = 1.2444961130325132736538872824077 y2[1] (numeric) = 1.2444961130325132736538872824076 absolute error = 1e-31 relative error = 8.0353806615213939761327330866801e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2444961130325132736538872824077 y1[1] (numeric) = 1.2444961130325132736538872824076 absolute error = 1e-31 relative error = 8.0353806615213939761327330866801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.6MB, time=32.93 x[1] = 0.248 y2[1] (analytic) = 1.2454656408952310375044504040511 y2[1] (numeric) = 1.245465640895231037504450404051 absolute error = 1e-31 relative error = 8.0291255508358123816822147229313e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2454656408952310375044504040511 y1[1] (numeric) = 1.245465640895231037504450404051 absolute error = 1e-31 relative error = 8.0291255508358123816822147229313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.6MB, time=33.15 x[1] = 0.249 y2[1] (analytic) = 1.2464349232923283615933687748402 y2[1] (numeric) = 1.2464349232923283615933687748401 absolute error = 1e-31 relative error = 8.0228817510873643280029416368130e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2464349232923283615933687748402 y1[1] (numeric) = 1.2464349232923283615933687748401 absolute error = 1e-31 relative error = 8.0228817510873643280029416368130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.6MB, time=33.36 x[1] = 0.25 y2[1] (analytic) = 1.2474039592545229295968487048494 y2[1] (numeric) = 1.2474039592545229295968487048492 absolute error = 2e-31 relative error = 1.6033298476904351319729627552716e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2474039592545229295968487048494 y1[1] (numeric) = 1.2474039592545229295968487048492 absolute error = 2e-31 relative error = 1.6033298476904351319729627552716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.6MB, time=33.58 x[1] = 0.251 y2[1] (analytic) = 1.2483727478127788600733163483794 y2[1] (numeric) = 1.2483727478127788600733163483792 absolute error = 2e-31 relative error = 1.6020855978345534116759712823372e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2483727478127788600733163483794 y1[1] (numeric) = 1.2483727478127788600733163483792 absolute error = 2e-31 relative error = 1.6020855978345534116759712823372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.6MB, time=33.79 x[1] = 0.252 y2[1] (analytic) = 1.2493412879983076754992183925442 y2[1] (numeric) = 1.249341287998307675499218392544 absolute error = 2e-31 relative error = 1.6008435959115673977784047081223e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2493412879983076754992183925442 y1[1] (numeric) = 1.249341287998307675499218392544 absolute error = 2e-31 relative error = 1.6008435959115673977784047081223e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.6MB, time=34.01 x[1] = 0.253 y2[1] (analytic) = 1.2503095788425692710574188484538 y2[1] (numeric) = 1.2503095788425692710574188484536 absolute error = 2e-31 relative error = 1.5996038371964090967819263503975e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2503095788425692710574188484538 y1[1] (numeric) = 1.2503095788425692710574188484536 absolute error = 2e-31 relative error = 1.5996038371964090967819263503975e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=602.7MB, alloc=4.6MB, time=34.22 TOP MAIN SOLVE Loop x[1] = 0.254 y2[1] (analytic) = 1.2512776193772728831772231566772 y2[1] (numeric) = 1.251277619377272883177223156677 absolute error = 2e-31 relative error = 1.5983663169771597514849081394658e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2512776193772728831772231566772 y1[1] (numeric) = 1.251277619377272883177223156677 absolute error = 2e-31 relative error = 1.5983663169771597514849081394658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=606.5MB, alloc=4.6MB, time=34.44 TOP MAIN SOLVE Loop x[1] = 0.255 y2[1] (analytic) = 1.252245408634378057825061067043 y2[1] (numeric) = 1.2522454086343780578250610670428 absolute error = 2e-31 relative error = 1.5971310305550069293960441021086e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.252245408634378057825061067043 y1[1] (numeric) = 1.2522454086343780578250610670428 absolute error = 2e-31 relative error = 1.5971310305550069293960441021086e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=610.3MB, alloc=4.6MB, time=34.65 TOP MAIN SOLVE Loop x[1] = 0.256 y2[1] (analytic) = 1.2532129456460956185448600021744 y2[1] (numeric) = 1.2532129456460956185448600021742 absolute error = 2e-31 relative error = 1.5958979732442017759737544168630e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2532129456460956185448600021744 y1[1] (numeric) = 1.2532129456460956185448600021742 absolute error = 2e-31 relative error = 1.5958979732442017759737544168630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=614.1MB, alloc=4.6MB, time=34.87 TOP MAIN SOLVE Loop x[1] = 0.257 y2[1] (analytic) = 1.2541802294448886342471408644664 y2[1] (numeric) = 1.2541802294448886342471408644662 absolute error = 2e-31 relative error = 1.5946671403720164319709587306428e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2541802294448886342471408644664 y1[1] (numeric) = 1.2541802294448886342471408644662 absolute error = 2e-31 relative error = 1.5946671403720164319709587306428e-29 % Correct digits = 30 h = 0.001 memory used=617.9MB, alloc=4.6MB, time=35.09 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.6MB, time=35.31 x[1] = 0.258 y2[1] (analytic) = 1.2551472590634733867458684974902 y2[1] (numeric) = 1.2551472590634733867458684974899 absolute error = 3e-31 relative error = 2.3901577909180524212525151712267e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2551472590634733867458684974902 y1[1] (numeric) = 1.2551472590634733867458684974899 absolute error = 3e-31 relative error = 2.3901577909180524212525151712267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.6MB, time=35.52 x[1] = 0.259 y2[1] (analytic) = 1.256114033534820338042089265054 y2[1] (numeric) = 1.2561140335348203380420892650537 absolute error = 3e-31 relative error = 2.3883181939761665381741615258349e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.256114033534820338042089265054 y1[1] (numeric) = 1.2561140335348203380420892650537 absolute error = 3e-31 relative error = 2.3883181939761665381741615258349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.6MB, time=35.74 x[1] = 0.26 y2[1] (analytic) = 1.2570805518921550973533884643652 y2[1] (numeric) = 1.2570805518921550973533884643649 absolute error = 3e-31 relative error = 2.3864819127814888902615199723276e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2570805518921550973533884643652 y1[1] (numeric) = 1.2570805518921550973533884643649 absolute error = 3e-31 relative error = 2.3864819127814888902615199723276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.6MB, time=35.95 x[1] = 0.261 y2[1] (analytic) = 1.2580468131689593878882005439147 y2[1] (numeric) = 1.2580468131689593878882005439143 absolute error = 4e-31 relative error = 3.1795319205365597416247722522162e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2580468131689593878882005439147 y1[1] (numeric) = 1.2580468131689593878882005439143 absolute error = 4e-31 relative error = 3.1795319205365597416247722522162e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.6MB, time=36.17 x[1] = 0.262 y2[1] (analytic) = 1.2590128163989720133640053518554 y2[1] (numeric) = 1.2590128163989720133640053518551 absolute error = 3e-31 relative error = 2.3828192699265753926962764822421e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2590128163989720133640053518554 y1[1] (numeric) = 1.2590128163989720133640053518551 absolute error = 3e-31 relative error = 2.3828192699265753926962764822421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.6MB, time=36.39 x[1] = 0.263 y2[1] (analytic) = 1.2599785606161898242684438967593 y2[1] (numeric) = 1.2599785606161898242684438967589 absolute error = 4e-31 relative error = 3.1746571926143001531474019217348e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2599785606161898242684438967593 y1[1] (numeric) = 1.2599785606161898242684438967589 absolute error = 4e-31 relative error = 3.1746571926143001531474019217348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.6MB, time=36.60 x[1] = 0.264 y2[1] (analytic) = 1.2609440448548686838623873597158 y2[1] (numeric) = 1.2609440448548686838623873597154 absolute error = 4e-31 relative error = 3.1722264095076394876017968606060e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2609440448548686838623873597158 y1[1] (numeric) = 1.2609440448548686838623873597154 absolute error = 4e-31 relative error = 3.1722264095076394876017968606060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.6MB, time=36.81 x[1] = 0.265 y2[1] (analytic) = 1.2619092681495244339239933547858 y2[1] (numeric) = 1.2619092681495244339239933547854 absolute error = 4e-31 relative error = 3.1698000014419716973915717862951e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2619092681495244339239933547858 y1[1] (numeric) = 1.2619092681495244339239933547854 absolute error = 4e-31 relative error = 3.1698000014419716973915717862951e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.6MB, time=37.03 x[1] = 0.266 y2[1] (analytic) = 1.2628742295349338602327836938334 y2[1] (numeric) = 1.262874229534933860232783693833 absolute error = 4e-31 relative error = 3.1673779593024399909692898856989e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2628742295349338602327836938334 y1[1] (numeric) = 1.262874229534933860232783693833 absolute error = 4e-31 relative error = 3.1673779593024399909692898856989e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.6MB, time=37.24 x[1] = 0.267 y2[1] (analytic) = 1.2638389280461356577927781717389 y2[1] (numeric) = 1.2638389280461356577927781717385 absolute error = 4e-31 relative error = 3.1649602739993956538985689830381e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2638389280461356577927781717389 y1[1] (numeric) = 1.2638389280461356577927781717385 absolute error = 4e-31 relative error = 3.1649602739993956538985689830381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.6MB, time=37.46 x[1] = 0.268 y2[1] (analytic) = 1.2648033627184313957937191489395 y2[1] (numeric) = 1.2648033627184313957937191489392 absolute error = 3e-31 relative error = 2.3719102023512373005752950860677e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2648033627184313957937191489395 y1[1] (numeric) = 1.2648033627184313957937191489392 absolute error = 3e-31 relative error = 2.3719102023512373005752950860677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.6MB, time=37.67 x[1] = 0.269 y2[1] (analytic) = 1.265767532587386482309421970154 y2[1] (numeric) = 1.2657675325873864823094219701537 absolute error = 3e-31 relative error = 2.3701034532522937789217377546026e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.265767532587386482309421970154 y1[1] (numeric) = 1.2657675325873864823094219701537 absolute error = 3e-31 relative error = 2.3701034532522937789217377546026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.6MB, time=37.89 x[1] = 0.27 y2[1] (analytic) = 1.2667314366888311287322865210205 y2[1] (numeric) = 1.2667314366888311287322865210202 absolute error = 3e-31 relative error = 2.3682999514418313301192155511596e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2667314366888311287322865210205 y1[1] (numeric) = 1.2667314366888311287322865210202 absolute error = 3e-31 relative error = 2.3682999514418313301192155511596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=671.3MB, alloc=4.6MB, time=38.11 x[1] = 0.271 y2[1] (analytic) = 1.267695074058861313943005488217 y2[1] (numeric) = 1.2676950740588613139430054882167 absolute error = 3e-31 relative error = 2.3664996901776276199290725013613e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.267695074058861313943005488217 y1[1] (numeric) = 1.2676950740588613139430054882167 absolute error = 3e-31 relative error = 2.3664996901776276199290725013613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.6MB, time=38.33 x[1] = 0.272 y2[1] (analytic) = 1.2686584437338397482145051534362 y2[1] (numeric) = 1.2686584437338397482145051534359 absolute error = 3e-31 relative error = 2.3647026627360625174790232993860e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2686584437338397482145051534362 y1[1] (numeric) = 1.2686584437338397482145051534359 absolute error = 3e-31 relative error = 2.3647026627360625174790232993860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.6MB, time=38.54 x[1] = 0.273 y2[1] (analytic) = 1.2696215447503968368491548173544 y2[1] (numeric) = 1.2696215447503968368491548173541 absolute error = 3e-31 relative error = 2.3629088624120580170961220647308e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2696215447503968368491548173544 y1[1] (numeric) = 1.2696215447503968368491548173541 absolute error = 3e-31 relative error = 2.3629088624120580170961220647308e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.6MB, time=38.76 x[1] = 0.274 y2[1] (analytic) = 1.2705843761454316435482812164654 y2[1] (numeric) = 1.2705843761454316435482812164652 absolute error = 2e-31 relative error = 1.5740788550126789258117789483576e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2705843761454316435482812164654 y1[1] (numeric) = 1.2705843761454316435482812164652 absolute error = 2e-31 relative error = 1.5740788550126789258117789483576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.6MB, time=38.97 x[1] = 0.275 y2[1] (analytic) = 1.2715469369561128535130245633453 y2[1] (numeric) = 1.271546936956112853513024563345 absolute error = 3e-31 relative error = 2.3593309163887705558908549904110e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2715469369561128535130245633453 y1[1] (numeric) = 1.271546936956112853513024563345 absolute error = 3e-31 relative error = 2.3593309163887705558908549904110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.6MB, time=39.19 x[1] = 0.276 y2[1] (analytic) = 1.2725092262198797362755731095714 y2[1] (numeric) = 1.2725092262198797362755731095711 absolute error = 3e-31 relative error = 2.3575467573715047003767821811215e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2725092262198797362755731095714 y1[1] (numeric) = 1.2725092262198797362755731095711 absolute error = 3e-31 relative error = 2.3575467573715047003767821811215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.6MB, time=39.41 x[1] = 0.277 y2[1] (analytic) = 1.2734712429744431082598134001431 y2[1] (numeric) = 1.2734712429744431082598134001428 absolute error = 3e-31 relative error = 2.3557657988357150923792619746046e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2734712429744431082598134001431 y1[1] (numeric) = 1.2734712429744431082598134001428 absolute error = 3e-31 relative error = 2.3557657988357150923792619746046e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=698.0MB, alloc=4.6MB, time=39.62 x[1] = 0.278 y2[1] (analytic) = 1.2744329862577862950704336588324 y2[1] (numeric) = 1.2744329862577862950704336588321 absolute error = 3e-31 relative error = 2.3539880341681411454236021296690e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2744329862577862950704336588324 y1[1] (numeric) = 1.2744329862577862950704336588321 absolute error = 3e-31 relative error = 2.3539880341681411454236021296690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.6MB, time=39.84 x[1] = 0.279 y2[1] (analytic) = 1.2753944551081660935095180154422 y2[1] (numeric) = 1.2753944551081660935095180154419 absolute error = 3e-31 relative error = 2.3522134567737086949153063496415e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2753944551081660935095180154422 y1[1] (numeric) = 1.2753944551081660935095180154419 absolute error = 3e-31 relative error = 2.3522134567737086949153063496415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.6MB, time=40.05 x[1] = 0.28 y2[1] (analytic) = 1.2763556485641137333196695584578 y2[1] (numeric) = 1.2763556485641137333196695584576 absolute error = 2e-31 relative error = 1.5669613733836476662755628934786e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2763556485641137333196695584578 y1[1] (numeric) = 1.2763556485641137333196695584576 absolute error = 2e-31 relative error = 1.5669613733836476662755628934786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=709.5MB, alloc=4.6MB, time=40.27 x[1] = 0.281 y2[1] (analytic) = 1.2773165656644358386527004700495 y2[1] (numeric) = 1.2773165656644358386527004700492 absolute error = 3e-31 relative error = 2.3486738375145529636573386540699e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2773165656644358386527004700495 y1[1] (numeric) = 1.2773165656644358386527004700492 absolute error = 3e-31 relative error = 2.3486738375145529636573386540699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.6MB, time=40.49 x[1] = 0.282 y2[1] (analytic) = 1.2782772054482153892629277748141 y2[1] (numeric) = 1.2782772054482153892629277748138 absolute error = 3e-31 relative error = 2.3469087825500880823926828565159e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2782772054482153892629277748141 y1[1] (numeric) = 1.2782772054482153892629277748138 absolute error = 3e-31 relative error = 2.3469087825500880823926828565159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.6MB, time=40.71 x[1] = 0.283 y2[1] (analytic) = 1.2792375669548126814241135090431 y2[1] (numeric) = 1.2792375669548126814241135090429 absolute error = 2e-31 relative error = 1.5634312591061104026948320133008e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2792375669548126814241135090431 y1[1] (numeric) = 1.2792375669548126814241135090429 absolute error = 2e-31 relative error = 1.5634312591061104026948320133008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.6MB, time=40.92 x[1] = 0.284 y2[1] (analytic) = 1.2801976492238662885690883936544 y2[1] (numeric) = 1.2801976492238662885690883936542 absolute error = 2e-31 relative error = 1.5622587662245136088519680073538e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2801976492238662885690883936544 y1[1] (numeric) = 1.2801976492238662885690883936542 absolute error = 2e-31 relative error = 1.5622587662245136088519680073538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.6MB, time=41.14 x[1] = 0.285 y2[1] (analytic) = 1.2811574512952940216510983712452 y2[1] (numeric) = 1.281157451295294021651098371245 absolute error = 2e-31 relative error = 1.5610883720638174210333724146702e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2811574512952940216510983712452 y1[1] (numeric) = 1.281157451295294021651098371245 absolute error = 2e-31 relative error = 1.5610883720638174210333724146702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.6MB, time=41.36 x[1] = 0.286 y2[1] (analytic) = 1.2821169722092938892259136459998 y2[1] (numeric) = 1.2821169722092938892259136459996 absolute error = 2e-31 relative error = 1.5599200723110919564244276423160e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2821169722092938892259136459998 y1[1] (numeric) = 1.2821169722092938892259136459996 absolute error = 2e-31 relative error = 1.5599200723110919564244276423160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.6MB, time=41.57 x[1] = 0.287 y2[1] (analytic) = 1.2830762110063450572537401444227 y2[1] (numeric) = 1.2830762110063450572537401444225 absolute error = 2e-31 relative error = 1.5587538626652237241867938843113e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2830762110063450572537401444227 y1[1] (numeric) = 1.2830762110063450572537401444225 absolute error = 2e-31 relative error = 1.5587538626652237241867938843113e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=736.2MB, alloc=4.6MB, time=41.79 x[1] = 0.288 y2[1] (analytic) = 1.2840351667272088086199735950659 y2[1] (numeric) = 1.2840351667272088086199735950657 absolute error = 2e-31 relative error = 1.5575897388368777913219070550803e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2840351667272088086199735950659 y1[1] (numeric) = 1.2840351667272088086199735950657 absolute error = 2e-31 relative error = 1.5575897388368777913219070550803e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.6MB, time=42.00 x[1] = 0.289 y2[1] (analytic) = 1.284993838412929502373836706576 y2[1] (numeric) = 1.2849938384129295023738367065759 absolute error = 1e-31 relative error = 7.7821384827423004567878225557199e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.284993838412929502373836706576 y1[1] (numeric) = 1.2849938384129295023738367065759 absolute error = 1e-31 relative error = 7.7821384827423004567878225557199e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.6MB, time=42.22 x[1] = 0.29 y2[1] (analytic) = 1.2859522251048355326839402055044 y2[1] (numeric) = 1.2859522251048355326839402055042 absolute error = 2e-31 relative error = 1.5552677315340798752445732797177e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2859522251048355326839402055044 y1[1] (numeric) = 1.2859522251048355326839402055042 absolute error = 2e-31 relative error = 1.5552677315340798752445732797177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.6MB, time=42.44 x[1] = 0.291 y2[1] (analytic) = 1.286910325844540287509808778398 y2[1] (numeric) = 1.2869103258445402875098087783978 absolute error = 2e-31 relative error = 1.5541098395395123038533998025633e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.286910325844540287509808778398 y1[1] (numeric) = 1.2869103258445402875098087783978 absolute error = 2e-31 relative error = 1.5541098395395123038533998025633e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.6MB, time=42.65 x[1] = 0.292 y2[1] (analytic) = 1.287868139673943106988413246727 y2[1] (numeric) = 1.2878681396739431069884132467268 absolute error = 2e-31 relative error = 1.5529540163221611814637085881360e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.287868139673943106988413246727 y1[1] (numeric) = 1.2878681396739431069884132467268 absolute error = 2e-31 relative error = 1.5529540163221611814637085881360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.6MB, time=42.87 x[1] = 0.293 y2[1] (analytic) = 1.2888256656352302415347505881947 y2[1] (numeric) = 1.2888256656352302415347505881945 absolute error = 2e-31 relative error = 1.5518002576510218296426097386261e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2888256656352302415347505881947 y1[1] (numeric) = 1.2888256656352302415347505881945 absolute error = 2e-31 relative error = 1.5518002576510218296426097386261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.6MB, time=43.09 x[1] = 0.294 y2[1] (analytic) = 1.2897829027708758096555137039305 y2[1] (numeric) = 1.2897829027708758096555137039304 absolute error = 1e-31 relative error = 7.7532427965332205045517608707999e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2897829027708758096555137039305 y1[1] (numeric) = 1.2897829027708758096555137039304 absolute error = 1e-31 relative error = 7.7532427965332205045517608707999e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=762.9MB, alloc=4.6MB, time=43.30 x[1] = 0.295 y2[1] (analytic) = 1.2907398501236427554748931179768 y2[1] (numeric) = 1.2907398501236427554748931179767 absolute error = 1e-31 relative error = 7.7474945854054776579755030342523e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.2907398501236427554748931179768 y1[1] (numeric) = 1.2907398501236427554748931179767 absolute error = 1e-31 relative error = 7.7474945854054776579755030342523e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.6MB, time=43.52 x[1] = 0.296 y2[1] (analytic) = 1.291696506736583805971553083346 y2[1] (numeric) = 1.2916965067365838059715530833458 absolute error = 2e-31 relative error = 1.5483513267779246332813200146416e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.291696506736583805971553083346 y1[1] (numeric) = 1.2916965067365838059715530833458 absolute error = 2e-31 relative error = 1.5483513267779246332813200146416e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.6MB, time=43.73 x[1] = 0.297 y2[1] (analytic) = 1.2926528716530424279258248577527 y2[1] (numeric) = 1.2926528716530424279258248577525 absolute error = 2e-31 relative error = 1.5472057842121243222591616204160e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2926528716530424279258248577527 y1[1] (numeric) = 1.2926528716530424279258248577525 absolute error = 2e-31 relative error = 1.5472057842121243222591616204160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=774.3MB, alloc=4.6MB, time=43.95 x[1] = 0.298 y2[1] (analytic) = 1.2936089439166537845761602019079 y2[1] (numeric) = 1.2936089439166537845761602019077 absolute error = 2e-31 relative error = 1.5460622852100954863850992865275e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2936089439166537845761602019079 y1[1] (numeric) = 1.2936089439166537845761602019077 absolute error = 2e-31 relative error = 1.5460622852100954863850992865275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.6MB, time=44.16 x[1] = 0.299 y2[1] (analytic) = 1.2945647225713456919838884439998 y2[1] (numeric) = 1.2945647225713456919838884439996 absolute error = 2e-31 relative error = 1.5449208256096106887669048790699e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2945647225713456919838884439998 y1[1] (numeric) = 1.2945647225713456919838884439996 absolute error = 2e-31 relative error = 1.5449208256096106887669048790699e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.6MB, time=44.38 x[1] = 0.3 y2[1] (analytic) = 1.295520206661339575105320745685 y2[1] (numeric) = 1.2955202066613395751053207456848 absolute error = 2e-31 relative error = 1.5437814012597780076888756295055e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.295520206661339575105320745685 y1[1] (numeric) = 1.2955202066613395751053207456848 absolute error = 2e-31 relative error = 1.5437814012597780076888756295055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.6MB, time=44.60 x[1] = 0.301 y2[1] (analytic) = 1.2964753952311514235702454975658 y2[1] (numeric) = 1.2964753952311514235702454975656 absolute error = 2e-31 relative error = 1.5426440080210050121960359129067e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2964753952311514235702454975658 y1[1] (numeric) = 1.2964753952311514235702454975656 absolute error = 2e-31 relative error = 1.5426440080210050121960359129067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=789.6MB, alloc=4.6MB, time=44.82 x[1] = 0.302 y2[1] (analytic) = 1.2974302873255927471658590657366 y2[1] (numeric) = 1.2974302873255927471658590657364 absolute error = 2e-31 relative error = 1.5415086417649628727588302605714e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2974302873255927471658590657366 y1[1] (numeric) = 1.2974302873255927471658590657364 absolute error = 2e-31 relative error = 1.5415086417649628727588302605714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.6MB, time=45.03 x[1] = 0.303 y2[1] (analytic) = 1.2983848819897715310251764055494 y2[1] (numeric) = 1.2983848819897715310251764055492 absolute error = 2e-31 relative error = 1.5403752983745506064426039181630e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2983848819897715310251764055494 y1[1] (numeric) = 1.2983848819897715310251764055492 absolute error = 2e-31 relative error = 1.5403752983745506064426039181630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.6MB, time=45.25 x[1] = 0.304 y2[1] (analytic) = 1.2993391782690931905189663542671 y2[1] (numeric) = 1.2993391782690931905189663542669 absolute error = 2e-31 relative error = 1.5392439737438594560089319362380e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.2993391782690931905189663542671 y1[1] (numeric) = 1.2993391782690931905189663542669 absolute error = 2e-31 relative error = 1.5392439737438594560089319362380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=801.0MB, alloc=4.6MB, time=45.47 x[1] = 0.305 y2[1] (analytic) = 1.3002931752092615258502567107484 y2[1] (numeric) = 1.3002931752092615258502567107482 absolute error = 2e-31 relative error = 1.5381146637781374023786077249393e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3002931752092615258502567107484 y1[1] (numeric) = 1.3002931752092615258502567107482 absolute error = 2e-31 relative error = 1.5381146637781374023786077249393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.6MB, time=45.69 x[1] = 0.306 y2[1] (analytic) = 1.3012468718562796763504545077395 y2[1] (numeric) = 1.3012468718562796763504545077393 absolute error = 2e-31 relative error = 1.5369873643937538098888373050729e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3012468718562796763504545077395 y1[1] (numeric) = 1.3012468718562796763504545077393 absolute error = 2e-31 relative error = 1.5369873643937538098888373050729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.6MB, time=45.90 x[1] = 0.307 y2[1] (analytic) = 1.3022002672564510744761271807312 y2[1] (numeric) = 1.3022002672564510744761271807309 absolute error = 3e-31 relative error = 2.3037931072772463056698593442943e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3022002672564510744761271807312 y1[1] (numeric) = 1.3022002672564510744761271807309 absolute error = 3e-31 relative error = 2.3037931072772463056698593442943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.6MB, time=46.12 x[1] = 0.308 y2[1] (analytic) = 1.30315336045638039950549063668 y2[1] (numeric) = 1.3031533604563803995054906366797 absolute error = 3e-31 relative error = 2.3021081716348127690239386259163e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.30315336045638039950549063668 y1[1] (numeric) = 1.3031533604563803995054906366797 absolute error = 3e-31 relative error = 2.3021081716348127690239386259163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.6MB, time=46.33 x[1] = 0.309 y2[1] (analytic) = 1.3041061505029745309336505261852 y2[1] (numeric) = 1.3041061505029745309336505261849 absolute error = 3e-31 relative error = 2.3004262335876141633208350324420e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3041061505029745309336505261852 y1[1] (numeric) = 1.3041061505029745309336505261849 absolute error = 3e-31 relative error = 2.3004262335876141633208350324420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.6MB, time=46.55 x[1] = 0.31 y2[1] (analytic) = 1.305058636443443501565643323959 y2[1] (numeric) = 1.3050586364434435015656433239587 absolute error = 3e-31 relative error = 2.2987472870764064686855305439498e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.305058636443443501565643323959 y1[1] (numeric) = 1.3050586364434435015656433239587 absolute error = 3e-31 relative error = 2.2987472870764064686855305439498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.6MB, time=46.77 x[1] = 0.311 y2[1] (analytic) = 1.3060108173253014503063241246284 y2[1] (numeric) = 1.3060108173253014503063241246282 absolute error = 2e-31 relative error = 1.5313808840389103587729026405876e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3060108173253014503063241246284 y1[1] (numeric) = 1.3060108173253014503063241246282 absolute error = 2e-31 relative error = 1.5313808840389103587729026405876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.6MB, time=46.99 x[1] = 0.312 y2[1] (analytic) = 1.3069626921963675746461483640617 y2[1] (numeric) = 1.3069626921963675746461483640614 absolute error = 3e-31 relative error = 2.2953983445070352430858595451090e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3069626921963675746461483640617 y1[1] (numeric) = 1.3069626921963675746461483640614 absolute error = 3e-31 relative error = 2.2953983445070352430858595451090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=831.6MB, alloc=4.6MB, time=47.21 TOP MAIN SOLVE Loop x[1] = 0.313 y2[1] (analytic) = 1.3079142601047670828418949805147 y2[1] (numeric) = 1.3079142601047670828418949805144 absolute error = 3e-31 relative error = 2.2937283364122758118428138715486e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3079142601047670828418949805147 y1[1] (numeric) = 1.3079142601047670828418949805144 absolute error = 3e-31 relative error = 2.2937283364122758118428138715486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=835.4MB, alloc=4.6MB, time=47.43 TOP MAIN SOLVE Loop x[1] = 0.314 y2[1] (analytic) = 1.3088655200989321457913788349557 y2[1] (numeric) = 1.3088655200989321457913788349554 absolute error = 3e-31 relative error = 2.2920612957802123611011583104880e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3088655200989321457913788349557 y1[1] (numeric) = 1.3088655200989321457913788349554 absolute error = 3e-31 relative error = 2.2920612957802123611011583104880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=839.2MB, alloc=4.6MB, time=47.64 TOP MAIN SOLVE Loop x[1] = 0.315 y2[1] (analytic) = 1.309816471227602848601200515934 y2[1] (numeric) = 1.3098164712276028486012005159337 absolute error = 3e-31 relative error = 2.2903972166331836187957255033797e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.309816471227602848601200515934 y1[1] (numeric) = 1.3098164712276028486012005159337 absolute error = 3e-31 relative error = 2.2903972166331836187957255033797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=843.0MB, alloc=4.6MB, time=47.87 TOP MAIN SOLVE Loop x[1] = 0.316 y2[1] (analytic) = 1.3107671125398281418465819613222 y2[1] (numeric) = 1.3107671125398281418465819613219 absolute error = 3e-31 relative error = 2.2887360930096908379963784210132e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3107671125398281418465819613222 y1[1] (numeric) = 1.3107671125398281418465819613219 absolute error = 3e-31 relative error = 2.2887360930096908379963784210132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=846.8MB, alloc=4.6MB, time=48.08 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.6MB, time=48.30 x[1] = 0.317 y2[1] (analytic) = 1.3117174430849667925223366371764 y2[1] (numeric) = 1.3117174430849667925223366371761 absolute error = 3e-31 relative error = 2.2870779189643469008721102234405e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3117174430849667925223366371764 y1[1] (numeric) = 1.3117174430849667925223366371761 absolute error = 3e-31 relative error = 2.2870779189643469008721102234405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.6MB, time=48.52 x[1] = 0.318 y2[1] (analytic) = 1.3126674619126883346840233228225 y2[1] (numeric) = 1.3126674619126883346840233228222 absolute error = 3e-31 relative error = 2.2854226885678256119444922957100e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3126674619126883346840233228225 y1[1] (numeric) = 1.3126674619126883346840233228222 absolute error = 3e-31 relative error = 2.2854226885678256119444922957100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.6MB, time=48.73 x[1] = 0.319 y2[1] (analytic) = 1.3136171680729740197783328610944 y2[1] (numeric) = 1.3136171680729740197783328610941 absolute error = 3e-31 relative error = 2.2837703959068111798306866315292e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3136171680729740197783328610944 y1[1] (numeric) = 1.3136171680729740197783328610941 absolute error = 3e-31 relative error = 2.2837703959068111798306866315292e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.6MB, time=48.95 x[1] = 0.32 y2[1] (analytic) = 1.3145665606161177666617575434172 y2[1] (numeric) = 1.3145665606161177666617575434168 absolute error = 4e-31 relative error = 3.0428280467785971822400630624494e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3145665606161177666617575434172 y1[1] (numeric) = 1.3145665606161177666617575434168 absolute error = 4e-31 relative error = 3.0428280467785971822400630624494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.6MB, time=49.17 x[1] = 0.321 y2[1] (analytic) = 1.3155156385927271113065931111435 y2[1] (numeric) = 1.3155156385927271113065931111431 absolute error = 4e-31 relative error = 3.0406328002903865926828321928013e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3155156385927271113065931111435 y1[1] (numeric) = 1.3155156385927271113065931111431 absolute error = 4e-31 relative error = 3.0406328002903865926828321928013e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.6MB, time=49.39 x[1] = 0.322 y2[1] (analytic) = 1.3164644010537241561933236672222 y2[1] (numeric) = 1.3164644010537241561933236672218 absolute error = 4e-31 relative error = 3.0384414472570020502235338504515e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3164644010537241561933236672222 y1[1] (numeric) = 1.3164644010537241561933236672218 absolute error = 4e-31 relative error = 3.0384414472570020502235338504515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.6MB, time=49.60 x[1] = 0.323 y2[1] (analytic) = 1.3174128470503465193884401058919 y2[1] (numeric) = 1.3174128470503465193884401058915 absolute error = 4e-31 relative error = 3.0362539798787427341171255815011e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3174128470503465193884401058919 y1[1] (numeric) = 1.3174128470503465193884401058915 absolute error = 4e-31 relative error = 3.0362539798787427341171255815011e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.6MB, time=49.82 x[1] = 0.324 y2[1] (analytic) = 1.3183609756341482833067429826609 y2[1] (numeric) = 1.3183609756341482833067429826606 absolute error = 3e-31 relative error = 2.2755527927826914801410831770785e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3183609756341482833067429826609 y1[1] (numeric) = 1.3183609756341482833067429826606 absolute error = 3e-31 relative error = 2.2755527927826914801410831770785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.6MB, time=50.03 x[1] = 0.325 y2[1] (analytic) = 1.3193087858570009431571810623496 y2[1] (numeric) = 1.3193087858570009431571810623493 absolute error = 3e-31 relative error = 2.2739180032453510317197200032320e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3193087858570009431571810623496 y1[1] (numeric) = 1.3193087858570009431571810623493 absolute error = 3e-31 relative error = 2.2739180032453510317197200032320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.6MB, time=50.25 x[1] = 0.326 y2[1] (analytic) = 1.3202562767710943550712770994355 y2[1] (numeric) = 1.3202562767710943550712770994351 absolute error = 4e-31 relative error = 3.0297148139925251977779952804708e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3202562767710943550712770994355 y1[1] (numeric) = 1.3202562767710943550712770994351 absolute error = 4e-31 relative error = 3.0297148139925251977779952804708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.6MB, time=50.47 x[1] = 0.327 y2[1] (analytic) = 1.3212034474289376839131927223542 y2[1] (numeric) = 1.3212034474289376839131927223538 absolute error = 4e-31 relative error = 3.0275428116570549625729120516966e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3212034474289376839131927223542 y1[1] (numeric) = 1.3212034474289376839131927223538 absolute error = 4e-31 relative error = 3.0275428116570549625729120516966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.6MB, time=50.68 x[1] = 0.328 y2[1] (analytic) = 1.3221502968833603507704846117713 y2[1] (numeric) = 1.322150296883360350770484611771 absolute error = 3e-31 relative error = 2.2690309922190782361737294573651e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3221502968833603507704846117713 y1[1] (numeric) = 1.322150296883360350770484611771 absolute error = 3e-31 relative error = 2.2690309922190782361737294573651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.6MB, time=50.90 x[1] = 0.329 y2[1] (analytic) = 1.3230968241875129801246044821466 y2[1] (numeric) = 1.3230968241875129801246044821463 absolute error = 3e-31 relative error = 2.2674077551673055899278154121804e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3230968241875129801246044821466 y1[1] (numeric) = 1.3230968241875129801246044821463 absolute error = 3e-31 relative error = 2.2674077551673055899278154121804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.6MB, time=51.11 x[1] = 0.33 y2[1] (analytic) = 1.3240430283948683467001956961702 y2[1] (numeric) = 1.3240430283948683467001956961699 absolute error = 3e-31 relative error = 2.2657873918469908506683592895377e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3240430283948683467001956961702 y1[1] (numeric) = 1.3240430283948683467001956961699 absolute error = 3e-31 relative error = 2.2657873918469908506683592895377e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=904.0MB, alloc=4.6MB, time=51.33 x[1] = 0.331 y2[1] (analytic) = 1.3249889085592223219922396628531 y2[1] (numeric) = 1.3249889085592223219922396628528 absolute error = 3e-31 relative error = 2.2641698965330701870870661371175e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3249889085592223219922396628531 y1[1] (numeric) = 1.3249889085592223219922396628528 absolute error = 3e-31 relative error = 2.2641698965330701870870661371175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=907.9MB, alloc=4.6MB, time=51.55 x[1] = 0.332 y2[1] (analytic) = 1.3259344637346948204701054922043 y2[1] (numeric) = 1.3259344637346948204701054922041 absolute error = 2e-31 relative error = 1.5083701756772334867491512372673e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3259344637346948204701054922043 y1[1] (numeric) = 1.3259344637346948204701054922041 absolute error = 2e-31 relative error = 1.5083701756772334867491512372673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.6MB, time=51.76 x[1] = 0.333 y2[1] (analytic) = 1.3268796929757307454575567025243 y2[1] (numeric) = 1.326879692975730745457556702524 absolute error = 3e-31 relative error = 2.2609434871009601116825084797975e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3268796929757307454575567025243 y1[1] (numeric) = 1.326879692975730745457556702524 absolute error = 3e-31 relative error = 2.2609434871009601116825084797975e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.6MB, time=51.98 x[1] = 0.334 y2[1] (analytic) = 1.3278245953371009346877691003853 y2[1] (numeric) = 1.3278245953371009346877691003851 absolute error = 2e-31 relative error = 1.5062230410728691201913471045364e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3278245953371009346877691003853 y1[1] (numeric) = 1.3278245953371009346877691003851 absolute error = 2e-31 relative error = 1.5062230410728691201913471045364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.6MB, time=52.20 x[1] = 0.335 y2[1] (analytic) = 1.3287691698739031055324142783622 y2[1] (numeric) = 1.328769169873903105532414278362 absolute error = 2e-31 relative error = 1.5051523209180079286219740954841e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3287691698739031055324142783622 y1[1] (numeric) = 1.328769169873903105532414278362 absolute error = 2e-31 relative error = 1.5051523209180079286219740954841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.6MB, time=52.41 x[1] = 0.336 y2[1] (analytic) = 1.3297134156415627999038635015058 y2[1] (numeric) = 1.3297134156415627999038635015056 absolute error = 2e-31 relative error = 1.5040834938369302549337622519063e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3297134156415627999038635015058 y1[1] (numeric) = 1.3297134156415627999038635015056 absolute error = 2e-31 relative error = 1.5040834938369302549337622519063e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.6MB, time=52.63 x[1] = 0.337 y2[1] (analytic) = 1.3306573316958343288295670804365 y2[1] (numeric) = 1.3306573316958343288295670804364 absolute error = 1e-31 relative error = 7.5150827803696573309773037414388e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3306573316958343288295670804365 y1[1] (numeric) = 1.3306573316958343288295670804364 absolute error = 1e-31 relative error = 7.5150827803696573309773037414388e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.6MB, time=52.85 x[1] = 0.338 y2[1] (analytic) = 1.331600917092801716697664656756 y2[1] (numeric) = 1.3316009170928017166976646567558 absolute error = 2e-31 relative error = 1.5019515038833638187130992290764e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.331600917092801716697664656756 y1[1] (numeric) = 1.3316009170928017166976646567558 absolute error = 2e-31 relative error = 1.5019515038833638187130992290764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=934.6MB, alloc=4.6MB, time=53.06 x[1] = 0.339 y2[1] (analytic) = 1.332544170888879645172882155245 y2[1] (numeric) = 1.3325441708888796451728821552448 absolute error = 2e-31 relative error = 1.5008883335296051842304680504275e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.332544170888879645172882155245 y1[1] (numeric) = 1.3325441708888796451728821552448 absolute error = 2e-31 relative error = 1.5008883335296051842304680504275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.6MB, time=53.28 x[1] = 0.34 y2[1] (analytic) = 1.3334870921408143967817714870308 y2[1] (numeric) = 1.3334870921408143967817714870306 absolute error = 2e-31 relative error = 1.4998270412870278911587530301458e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3334870921408143967817714870308 y1[1] (numeric) = 1.3334870921408143967817714870306 absolute error = 2e-31 relative error = 1.4998270412870278911587530301458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.6MB, time=53.49 x[1] = 0.341 y2[1] (analytic) = 1.334429679905684798166349418561 y2[1] (numeric) = 1.3344296799056847981663494185608 absolute error = 2e-31 relative error = 1.4987676234399676803550123105242e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.334429679905684798166349418561 y1[1] (numeric) = 1.3344296799056847981663494185608 absolute error = 2e-31 relative error = 1.4987676234399676803550123105242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.6MB, time=53.71 x[1] = 0.342 y2[1] (analytic) = 1.3353719332409031630051923528251 y2[1] (numeric) = 1.3353719332409031630051923528249 absolute error = 2e-31 relative error = 1.4977100762826927749714441461204e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3353719332409031630051923528251 y1[1] (numeric) = 1.3353719332409031630051923528249 absolute error = 2e-31 relative error = 1.4977100762826927749714441461204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.6MB, time=53.93 x[1] = 0.343 y2[1] (analytic) = 1.336313851204216234601044101807 y2[1] (numeric) = 1.3363138512042162346010441018068 absolute error = 2e-31 relative error = 1.4966543961193730638996438279216e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.336313851204216234601044101807 y1[1] (numeric) = 1.3363138512042162346010441018068 absolute error = 2e-31 relative error = 1.4966543961193730638996438279216e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.6MB, time=54.15 x[1] = 0.344 y2[1] (analytic) = 1.3372554328537061281339940626387 y2[1] (numeric) = 1.3372554328537061281339940626386 absolute error = 1e-31 relative error = 7.4780028963202469916814280730670e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3372554328537061281339940626387 y1[1] (numeric) = 1.3372554328537061281339940626386 absolute error = 1e-31 relative error = 7.4780028963202469916814280730670e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.6MB, time=54.36 x[1] = 0.345 y2[1] (analytic) = 1.338196677247791272579283544357 y2[1] (numeric) = 1.3381966772477912725792835443569 absolute error = 1e-31 relative error = 7.4727431102030150049944576410942e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.338196677247791272579283544357 y1[1] (numeric) = 1.3381966772477912725792835443569 absolute error = 1e-31 relative error = 7.4727431102030150049944576410942e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=961.3MB, alloc=4.6MB, time=54.58 x[1] = 0.346 y2[1] (analytic) = 1.3391375834452273522887983275334 y2[1] (numeric) = 1.3391375834452273522887983275332 absolute error = 2e-31 relative error = 1.4934985207827249875225632521774e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3391375834452273522887983275334 y1[1] (numeric) = 1.3391375834452273522887983275332 absolute error = 2e-31 relative error = 1.4934985207827249875225632521774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.6MB, time=54.80 x[1] = 0.347 y2[1] (analytic) = 1.3400781505051082482353058753646 y2[1] (numeric) = 1.3400781505051082482353058753645 absolute error = 1e-31 relative error = 7.4622513591694299978537810577431e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3400781505051082482353058753646 y1[1] (numeric) = 1.3400781505051082482353058753645 absolute error = 1e-31 relative error = 7.4622513591694299978537810577431e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.6MB, time=55.02 x[1] = 0.348 y2[1] (analytic) = 1.3410183774868669789184959520651 y2[1] (numeric) = 1.3410183774868669789184959520649 absolute error = 2e-31 relative error = 1.4914038715473059491953662836072e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3410183774868669789184959520651 y1[1] (numeric) = 1.3410183774868669789184959520649 absolute error = 2e-31 relative error = 1.4914038715473059491953662836072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.6MB, time=55.23 x[1] = 0.349 y2[1] (analytic) = 1.3419582634502766409318837425973 y2[1] (numeric) = 1.3419582634502766409318837425971 absolute error = 2e-31 relative error = 1.4903593162859238739835795483690e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3419582634502766409318837425973 y1[1] (numeric) = 1.3419582634502766409318837425971 absolute error = 2e-31 relative error = 1.4903593162859238739835795483690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.6MB, time=55.45 x[1] = 0.35 y2[1] (analytic) = 1.3428978074554513491896349069176 y2[1] (numeric) = 1.3428978074554513491896349069174 absolute error = 2e-31 relative error = 1.4893166024223679025311041078695e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3428978074554513491896349069176 y1[1] (numeric) = 1.3428978074554513491896349069174 absolute error = 2e-31 relative error = 1.4893166024223679025311041078695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.6MB, time=55.67 x[1] = 0.351 y2[1] (analytic) = 1.3438370085628471768123723419896 y2[1] (numeric) = 1.3438370085628471768123723419894 absolute error = 2e-31 relative error = 1.4882757263389253297835603452322e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3438370085628471768123723419896 y1[1] (numeric) = 1.3438370085628471768123723419894 absolute error = 2e-31 relative error = 1.4882757263389253297835603452322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.6MB, time=55.88 x[1] = 0.352 y2[1] (analytic) = 1.3447758658332630946710247658361 y2[1] (numeric) = 1.3447758658332630946710247658359 absolute error = 2e-31 relative error = 1.4872366844275128017899521242115e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3447758658332630946710247658361 y1[1] (numeric) = 1.3447758658332630946710247658359 absolute error = 2e-31 relative error = 1.4872366844275128017899521242115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.6MB, time=56.10 x[1] = 0.353 y2[1] (analytic) = 1.345714378327841910587777579861 y2[1] (numeric) = 1.3457143783278419105877775798609 absolute error = 1e-31 relative error = 7.4309973654482330470713820554174e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.345714378327841910587777579861 y1[1] (numeric) = 1.3457143783278419105877775798609 absolute error = 1e-31 relative error = 7.4309973654482330470713820554174e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.6MB, time=56.32 x[1] = 0.354 y2[1] (analytic) = 1.3466525451080712081931868085672 y2[1] (numeric) = 1.3466525451080712081931868085671 absolute error = 1e-31 relative error = 7.4258204436820654527672634859769e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3466525451080712081931868085672 y1[1] (numeric) = 1.3466525451080712081931868085671 absolute error = 1e-31 relative error = 7.4258204436820654527672634859769e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.6MB, time=56.54 x[1] = 0.355 y2[1] (analytic) = 1.3475903652357842854385172596347 y2[1] (numeric) = 1.3475903652357842854385172596346 absolute error = 1e-31 relative error = 7.4206526389421957020593323774098e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3475903652357842854385172596347 y1[1] (numeric) = 1.3475903652357842854385172596346 absolute error = 1e-31 relative error = 7.4206526389421957020593323774098e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.6MB, time=56.75 x[1] = 0.356 y2[1] (analytic) = 1.3485278377731610927623663921003 y2[1] (numeric) = 1.3485278377731610927623663921002 absolute error = 1e-31 relative error = 7.4154939333793141469246147036123e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3485278377731610927623663921003 y1[1] (numeric) = 1.3485278377731610927623663921002 absolute error = 1e-31 relative error = 7.4154939333793141469246147036123e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.6MB, time=56.97 x[1] = 0.357 y2[1] (analytic) = 1.3494649617827291709106357260919 y2[1] (numeric) = 1.3494649617827291709106357260917 absolute error = 2e-31 relative error = 1.4820688618383041281060981037815e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3494649617827291709106357260919 y1[1] (numeric) = 1.3494649617827291709106357260917 absolute error = 2e-31 relative error = 1.4820688618383041281060981037815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1007.0MB, alloc=4.6MB, time=57.18 x[1] = 0.358 y2[1] (analytic) = 1.3504017363273645884089119742243 y2[1] (numeric) = 1.3504017363273645884089119742241 absolute error = 2e-31 relative error = 1.4810407497248357392140546966743e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3504017363273645884089119742243 y1[1] (numeric) = 1.3504017363273645884089119742241 absolute error = 2e-31 relative error = 1.4810407497248357392140546966743e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.6MB, time=57.40 x[1] = 0.359 y2[1] (analytic) = 1.3513381604702928786863204223547 y2[1] (numeric) = 1.3513381604702928786863204223545 absolute error = 2e-31 relative error = 1.4800144467939540353984596597776e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3513381604702928786863204223547 y1[1] (numeric) = 1.3513381604702928786863204223545 absolute error = 2e-31 relative error = 1.4800144467939540353984596597776e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.6MB, time=57.62 x[1] = 0.36 y2[1] (analytic) = 1.3522742332750899768499134359207 y2[1] (numeric) = 1.3522742332750899768499134359205 absolute error = 2e-31 relative error = 1.4789899495135501032851987062370e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3522742332750899768499134359207 y1[1] (numeric) = 1.3522742332750899768499134359205 absolute error = 2e-31 relative error = 1.4789899495135501032851987062370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.6MB, time=57.84 x[1] = 0.361 y2[1] (analytic) = 1.353209953805683156108657317552 y2[1] (numeric) = 1.3532099538056831561086573175517 absolute error = 3e-31 relative error = 2.2169508815413213390855972688686e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.353209953805683156108657317552 y1[1] (numeric) = 1.3532099538056831561086573175517 absolute error = 3e-31 relative error = 2.2169508815413213390855972688686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.6MB, time=58.05 x[1] = 0.362 y2[1] (analytic) = 1.3541453211263519638460810920458 y2[1] (numeric) = 1.3541453211263519638460810920456 absolute error = 2e-31 relative error = 1.4769463578225404710413685493342e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3541453211263519638460810920458 y1[1] (numeric) = 1.3541453211263519638460810920456 absolute error = 2e-31 relative error = 1.4769463578225404710413685493342e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.6MB, time=58.27 x[1] = 0.363 y2[1] (analytic) = 1.3550803343017291573406511461367 y2[1] (numeric) = 1.3550803343017291573406511461365 absolute error = 2e-31 relative error = 1.4759272563944313818312775013386e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3550803343017291573406511461367 y1[1] (numeric) = 1.3550803343017291573406511461365 absolute error = 2e-31 relative error = 1.4759272563944313818312775013386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.6MB, time=58.49 x[1] = 0.364 y2[1] (analytic) = 1.3560149923968016391329360027619 y2[1] (numeric) = 1.3560149923968016391329360027617 absolute error = 2e-31 relative error = 1.4749099465817361078430436941733e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3560149923968016391329360027619 y1[1] (numeric) = 1.3560149923968016391329360027617 absolute error = 2e-31 relative error = 1.4749099465817361078430436941733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1033.7MB, alloc=4.6MB, time=58.70 x[1] = 0.365 y2[1] (analytic) = 1.3569492944769113920386258627375 y2[1] (numeric) = 1.3569492944769113920386258627374 absolute error = 1e-31 relative error = 7.3694721244944431877330750019497e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3569492944769113920386258627375 y1[1] (numeric) = 1.3569492944769113920386258627374 absolute error = 1e-31 relative error = 7.3694721244944431877330750019497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.6MB, time=58.92 x[1] = 0.366 y2[1] (analytic) = 1.357883239607756413806471900903 y2[1] (numeric) = 1.3578832396077564138064719009029 absolute error = 1e-31 relative error = 7.3644034393477306747122870294884e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.357883239607756413806471900903 y1[1] (numeric) = 1.3578832396077564138064719009029 absolute error = 1e-31 relative error = 7.3644034393477306747122870294884e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.6MB, time=59.14 x[1] = 0.367 y2[1] (analytic) = 1.3588168268553916514202106588722 y2[1] (numeric) = 1.3588168268553916514202106588721 absolute error = 1e-31 relative error = 7.3593436601328035609636641594231e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3588168268553916514202106588722 y1[1] (numeric) = 1.3588168268553916514202106588721 absolute error = 1e-31 relative error = 7.3593436601328035609636641594231e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.6MB, time=59.35 x[1] = 0.368 y2[1] (analytic) = 1.3597500552862299350435392325448 y2[1] (numeric) = 1.3597500552862299350435392325447 absolute error = 1e-31 relative error = 7.3542927695597565232514299465408e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3597500552862299350435392325448 y1[1] (numeric) = 1.3597500552862299350435392325447 absolute error = 1e-31 relative error = 7.3542927695597565232514299465408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.6MB, time=59.57 x[1] = 0.369 y2[1] (analytic) = 1.3606829239670429116072073094816 y2[1] (numeric) = 1.3606829239670429116072073094814 absolute error = 2e-31 relative error = 1.4698501500768756478641920493443e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3606829239670429116072073094816 y1[1] (numeric) = 1.3606829239670429116072073094814 absolute error = 2e-31 relative error = 1.4698501500768756478641920493443e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.6MB, time=59.79 x[1] = 0.37 y2[1] (analytic) = 1.3616154319649619780372924691272 y2[1] (numeric) = 1.361615431964961978037292469127 absolute error = 2e-31 relative error = 1.4688435170816023561425718019009e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3616154319649619780372924691272 y1[1] (numeric) = 1.361615431964961978037292469127 absolute error = 2e-31 relative error = 1.4688435170816023561425718019009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.6MB, time=60.00 x[1] = 0.371 y2[1] (analytic) = 1.3625475783474792141237255176854 y2[1] (numeric) = 1.3625475783474792141237255176852 absolute error = 2e-31 relative error = 1.4678386514954831022553258026804e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3625475783474792141237255176854 y1[1] (numeric) = 1.3625475783474792141237255176852 absolute error = 2e-31 relative error = 1.4678386514954831022553258026804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1060.5MB, alloc=4.6MB, time=60.22 TOP MAIN SOLVE Loop x[1] = 0.372 y2[1] (analytic) = 1.3634793621824483150281329891974 y2[1] (numeric) = 1.3634793621824483150281329891972 absolute error = 2e-31 relative error = 1.4668355498969248978613738342921e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3634793621824483150281329891974 y1[1] (numeric) = 1.3634793621824483150281329891972 absolute error = 2e-31 relative error = 1.4668355498969248978613738342921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1064.3MB, alloc=4.6MB, time=60.44 TOP MAIN SOLVE Loop x[1] = 0.373 y2[1] (analytic) = 1.364410782538085523430064305059 y2[1] (numeric) = 1.3644107825380855234300643050589 absolute error = 1e-31 relative error = 7.3291710443668123712345544257999e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.364410782538085523430064305059 y1[1] (numeric) = 1.3644107825380855234300643050589 absolute error = 1e-31 relative error = 7.3291710443668123712345544257999e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1068.1MB, alloc=4.6MB, time=60.65 TOP MAIN SOLVE Loop x[1] = 0.374 y2[1] (analytic) = 1.3653418384829705613106714458277 y2[1] (numeric) = 1.3653418384829705613106714458276 absolute error = 1e-31 relative error = 7.3241731251061538148155291885497e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3653418384829705613106714458277 y1[1] (numeric) = 1.3653418384829705613106714458276 absolute error = 1e-31 relative error = 7.3241731251061538148155291885497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1071.9MB, alloc=4.6MB, time=60.87 TOP MAIN SOLVE Loop x[1] = 0.375 y2[1] (analytic) = 1.3662725290860475613729093517163 y2[1] (numeric) = 1.3662725290860475613729093517162 absolute error = 1e-31 relative error = 7.3191839747296873797678710522985e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3662725290860475613729093517163 y1[1] (numeric) = 1.3662725290860475613729093517162 absolute error = 1e-31 relative error = 7.3191839747296873797678710522985e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1075.7MB, alloc=4.6MB, time=61.09 TOP MAIN SOLVE Loop x[1] = 0.376 y2[1] (analytic) = 1.3672028534166259980973256316518 y2[1] (numeric) = 1.3672028534166259980973256316518 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3672028534166259980973256316518 y1[1] (numeric) = 1.3672028534166259980973256316518 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=1079.5MB, alloc=4.6MB, time=61.31 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.6MB, time=61.53 x[1] = 0.377 y2[1] (analytic) = 1.368132810544381618432508525187 y2[1] (numeric) = 1.368132810544381618432508525187 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.368132810544381618432508525187 y1[1] (numeric) = 1.368132810544381618432508525187 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.6MB, time=61.75 x[1] = 0.378 y2[1] (analytic) = 1.3690623995393573721192624268931 y2[1] (numeric) = 1.3690623995393573721192624268931 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3690623995393573721192624268931 y1[1] (numeric) = 1.3690623995393573721192624268931 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.6MB, time=61.96 x[1] = 0.379 y2[1] (analytic) = 1.3699916194719643416475806491373 y2[1] (numeric) = 1.3699916194719643416475806491373 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3699916194719643416475806491373 y1[1] (numeric) = 1.3699916194719643416475806491373 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.6MB, time=62.19 x[1] = 0.38 y2[1] (analytic) = 1.3709204694129826718454854663492 y2[1] (numeric) = 1.3709204694129826718454854663492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3709204694129826718454854663492 y1[1] (numeric) = 1.3709204694129826718454854663492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.6MB, time=62.40 x[1] = 0.381 y2[1] (analytic) = 1.3718489484335624990988058520127 y2[1] (numeric) = 1.3718489484335624990988058520127 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3718489484335624990988058520127 y1[1] (numeric) = 1.3718489484335624990988058520127 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.6MB, time=62.62 x[1] = 0.382 y2[1] (analytic) = 1.3727770556052248802009636886848 y2[1] (numeric) = 1.3727770556052248802009636886848 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3727770556052248802009636886848 y1[1] (numeric) = 1.3727770556052248802009636886848 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1106.2MB, alloc=4.6MB, time=62.84 x[1] = 0.383 y2[1] (analytic) = 1.3737047899998627208318396013306 y2[1] (numeric) = 1.3737047899998627208318396013306 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3737047899998627208318396013306 y1[1] (numeric) = 1.3737047899998627208318396013306 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1110.0MB, alloc=4.6MB, time=63.05 x[1] = 0.384 y2[1] (analytic) = 1.3746321506897417036647899351876 y2[1] (numeric) = 1.3746321506897417036647899351876 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3746321506897417036647899351876 y1[1] (numeric) = 1.3746321506897417036647899351876 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1113.9MB, alloc=4.6MB, time=63.27 x[1] = 0.385 y2[1] (analytic) = 1.3755591367475012161008867712188 y2[1] (numeric) = 1.3755591367475012161008867712188 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3755591367475012161008867712188 y1[1] (numeric) = 1.3755591367475012161008867712188 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1117.7MB, alloc=4.6MB, time=63.48 x[1] = 0.386 y2[1] (analytic) = 1.3764857472461552776294532449923 y2[1] (numeric) = 1.3764857472461552776294532449923 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3764857472461552776294532449923 y1[1] (numeric) = 1.3764857472461552776294532449923 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1121.5MB, alloc=4.6MB, time=63.70 x[1] = 0.387 y2[1] (analytic) = 1.3774119812590934668139668085286 y2[1] (numeric) = 1.3774119812590934668139668085287 absolute error = 1e-31 relative error = 7.2599920256675794785525633742804e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3774119812590934668139668085286 y1[1] (numeric) = 1.3774119812590934668139668085287 absolute error = 1e-31 relative error = 7.2599920256675794785525633742804e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1125.3MB, alloc=4.6MB, time=63.92 x[1] = 0.388 y2[1] (analytic) = 1.3783378378600818479024034492912 y2[1] (numeric) = 1.3783378378600818479024034492913 absolute error = 1e-31 relative error = 7.2551153464127147705314472494371e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3783378378600818479024034492912 y1[1] (numeric) = 1.3783378378600818479024034492913 absolute error = 1e-31 relative error = 7.2551153464127147705314472494371e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1129.1MB, alloc=4.6MB, time=64.13 x[1] = 0.389 y2[1] (analytic) = 1.3792633161232638970610962560513 y2[1] (numeric) = 1.3792633161232638970610962560513 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3792633161232638970610962560513 y1[1] (numeric) = 1.3792633161232638970610962560513 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1132.9MB, alloc=4.6MB, time=64.35 x[1] = 0.39 y2[1] (analytic) = 1.3801884151231614282311820978472 y2[1] (numeric) = 1.3801884151231614282311820978472 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3801884151231614282311820978472 y1[1] (numeric) = 1.3801884151231614282311820978472 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1136.7MB, alloc=4.6MB, time=64.57 x[1] = 0.391 y2[1] (analytic) = 1.381113133934675518606710559668 y2[1] (numeric) = 1.381113133934675518606710559668 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.381113133934675518606710559668 y1[1] (numeric) = 1.381113133934675518606710559668 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1140.6MB, alloc=4.6MB, time=64.78 x[1] = 0.392 y2[1] (analytic) = 1.3820374716330874337334896568294 y2[1] (numeric) = 1.3820374716330874337334896568294 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3820374716330874337334896568294 y1[1] (numeric) = 1.3820374716330874337334896568294 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1144.4MB, alloc=4.6MB, time=65.00 x[1] = 0.393 y2[1] (analytic) = 1.3829614272940595522277432292739 y2[1] (numeric) = 1.3829614272940595522277432292739 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3829614272940595522277432292739 y1[1] (numeric) = 1.3829614272940595522277432292739 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1148.2MB, alloc=4.6MB, time=65.22 x[1] = 0.394 y2[1] (analytic) = 1.3838849999936362901136552972144 y2[1] (numeric) = 1.3838849999936362901136552972144 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3838849999936362901136552972144 y1[1] (numeric) = 1.3838849999936362901136552972144 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1152.0MB, alloc=4.6MB, time=65.43 x[1] = 0.395 y2[1] (analytic) = 1.384808188808245024778877040654 y2[1] (numeric) = 1.384808188808245024778877040654 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.384808188808245024778877040654 y1[1] (numeric) = 1.384808188808245024778877040654 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1155.8MB, alloc=4.6MB, time=65.65 x[1] = 0.396 y2[1] (analytic) = 1.3857309928146970185470724473521 y2[1] (numeric) = 1.3857309928146970185470724473521 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3857309928146970185470724473521 y1[1] (numeric) = 1.3857309928146970185470724473521 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1159.6MB, alloc=4.6MB, time=65.87 x[1] = 0.397 y2[1] (analytic) = 1.3866534110901883418665790567684 y2[1] (numeric) = 1.3866534110901883418665790567684 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3866534110901883418665790567684 y1[1] (numeric) = 1.3866534110901883418665790567684 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1163.4MB, alloc=4.6MB, time=66.08 x[1] = 0.398 y2[1] (analytic) = 1.3875754427123007961142606114002 y2[1] (numeric) = 1.3875754427123007961142606114003 absolute error = 1e-31 relative error = 7.2068153501282416676376862757328e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3875754427123007961142606114002 y1[1] (numeric) = 1.3875754427123007961142606114003 absolute error = 1e-31 relative error = 7.2068153501282416676376862757328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1167.3MB, alloc=4.6MB, time=66.30 x[1] = 0.399 y2[1] (analytic) = 1.3884970867590028360136288117384 y2[1] (numeric) = 1.3884970867590028360136288117385 absolute error = 1e-31 relative error = 7.2020316753719406317376387866974e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3884970867590028360136288117384 y1[1] (numeric) = 1.3884970867590028360136288117385 absolute error = 1e-31 relative error = 7.2020316753719406317376387866974e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1171.1MB, alloc=4.6MB, time=66.51 x[1] = 0.4 y2[1] (analytic) = 1.3894183423086504916663117567957 y2[1] (numeric) = 1.3894183423086504916663117567958 absolute error = 1e-31 relative error = 7.1972563593654957565209332448654e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3894183423086504916663117567957 y1[1] (numeric) = 1.3894183423086504916663117567958 absolute error = 1e-31 relative error = 7.1972563593654957565209332448654e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1174.9MB, alloc=4.6MB, time=66.73 x[1] = 0.401 y2[1] (analytic) = 1.3903392084399882901959470388174 y2[1] (numeric) = 1.3903392084399882901959470388174 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.3903392084399882901959470388174 y1[1] (numeric) = 1.3903392084399882901959470388174 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1178.7MB, alloc=4.6MB, time=66.95 x[1] = 0.402 y2[1] (analytic) = 1.3912596842321501770035778483565 y2[1] (numeric) = 1.3912596842321501770035778483566 absolute error = 1e-31 relative error = 7.1877307402313593070387801917391e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3912596842321501770035778483565 y1[1] (numeric) = 1.3912596842321501770035778483566 absolute error = 1e-31 relative error = 7.1877307402313593070387801917391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1182.5MB, alloc=4.6MB, time=67.16 x[1] = 0.403 y2[1] (analytic) = 1.3921797687646604366336308343958 y2[1] (numeric) = 1.3921797687646604366336308343959 absolute error = 1e-31 relative error = 7.1829804055214937348400827539872e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3921797687646604366336308343958 y1[1] (numeric) = 1.3921797687646604366336308343959 absolute error = 1e-31 relative error = 7.1829804055214937348400827539872e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1186.3MB, alloc=4.6MB, time=67.38 x[1] = 0.404 y2[1] (analytic) = 1.3930994611174346132495548536135 y2[1] (numeric) = 1.3930994611174346132495548536136 absolute error = 1e-31 relative error = 7.1782383663968888389578272402074e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3930994611174346132495548536135 y1[1] (numeric) = 1.3930994611174346132495548536136 absolute error = 1e-31 relative error = 7.1782383663968888389578272402074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1190.2MB, alloc=4.6MB, time=67.60 x[1] = 0.405 y2[1] (analytic) = 1.3940187603707804307182001332327 y2[1] (numeric) = 1.3940187603707804307182001332328 absolute error = 1e-31 relative error = 7.1735046071691351355951874184833e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3940187603707804307182001332327 y1[1] (numeric) = 1.3940187603707804307182001332328 absolute error = 1e-31 relative error = 7.1735046071691351355951874184833e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1194.0MB, alloc=4.6MB, time=67.82 x[1] = 0.406 y2[1] (analytic) = 1.3949376656053987123020177631507 y2[1] (numeric) = 1.3949376656053987123020177631508 absolute error = 1e-31 relative error = 7.1687791121906729478855705476643e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3949376656053987123020177631507 y1[1] (numeric) = 1.3949376656053987123020177631508 absolute error = 1e-31 relative error = 7.1687791121906729478855705476643e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1197.8MB, alloc=4.6MB, time=68.04 x[1] = 0.407 y2[1] (analytic) = 1.3958561759023842999581598252254 y2[1] (numeric) = 1.3958561759023842999581598252255 absolute error = 1e-31 relative error = 7.1640618658546701978975628576510e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.3958561759023842999581598252254 y1[1] (numeric) = 1.3958561759023842999581598252255 absolute error = 1e-31 relative error = 7.1640618658546701978975628576510e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1201.6MB, alloc=4.6MB, time=68.25 x[1] = 0.408 y2[1] (analytic) = 1.3967742903432269732435608606962 y2[1] (numeric) = 1.3967742903432269732435608606964 absolute error = 2e-31 relative error = 1.4318705705189801267062552987729e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3967742903432269732435608606962 y1[1] (numeric) = 1.3967742903432269732435608606964 absolute error = 2e-31 relative error = 1.4318705705189801267062552987729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1205.4MB, alloc=4.6MB, time=68.47 x[1] = 0.409 y2[1] (analytic) = 1.3976920080098123678250817707338 y2[1] (numeric) = 1.397692008009812367825081770734 absolute error = 2e-31 relative error = 1.4309304113771244977108519614629e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3976920080098123678250817707338 y1[1] (numeric) = 1.397692008009812367825081770734 absolute error = 2e-31 relative error = 1.4309304113771244977108519614629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1209.2MB, alloc=4.6MB, time=68.69 x[1] = 0.41 y2[1] (analytic) = 1.3986093279844228935937976400511 y2[1] (numeric) = 1.3986093279844228935937976400513 absolute error = 2e-31 relative error = 1.4299918926482915148066202080604e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3986093279844228935937976400511 y1[1] (numeric) = 1.3986093279844228935937976400513 absolute error = 2e-31 relative error = 1.4299918926482915148066202080604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1213.0MB, alloc=4.6MB, time=68.90 x[1] = 0.411 y2[1] (analytic) = 1.3995262493497386523825113693651 y2[1] (numeric) = 1.3995262493497386523825113693653 absolute error = 2e-31 relative error = 1.4290550112434541598849566908332e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.3995262493497386523825113693651 y1[1] (numeric) = 1.3995262493497386523825113693653 absolute error = 2e-31 relative error = 1.4290550112434541598849566908332e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1216.9MB, alloc=4.6MB, time=69.12 x[1] = 0.412 y2[1] (analytic) = 1.4004427711888383552855753992714 y2[1] (numeric) = 1.4004427711888383552855753992716 absolute error = 2e-31 relative error = 1.4281197640816100243199475985020e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4004427711888383552855753992714 y1[1] (numeric) = 1.4004427711888383552855753992716 absolute error = 2e-31 relative error = 1.4281197640816100243199475985020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1220.7MB, alloc=4.6MB, time=69.33 x[1] = 0.413 y2[1] (analytic) = 1.4013588925852002395801042057874 y2[1] (numeric) = 1.4013588925852002395801042057876 absolute error = 2e-31 relative error = 1.4271861480897573840152775784962e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4013588925852002395801042057874 y1[1] (numeric) = 1.4013588925852002395801042057876 absolute error = 2e-31 relative error = 1.4271861480897573840152775784962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1224.5MB, alloc=4.6MB, time=69.55 x[1] = 0.414 y2[1] (analytic) = 1.4022746126227029852476606464264 y2[1] (numeric) = 1.4022746126227029852476606464265 absolute error = 1e-31 relative error = 7.1312708010143567967547884681983e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4022746126227029852476606464264 y1[1] (numeric) = 1.4022746126227029852476606464265 absolute error = 1e-31 relative error = 7.1312708010143567967547884681983e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1228.3MB, alloc=4.6MB, time=69.77 x[1] = 0.415 y2[1] (analytic) = 1.4031899303856266310954996351939 y2[1] (numeric) = 1.403189930385626631095499635194 absolute error = 1e-31 relative error = 7.1266189868194007984447348130911e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4031899303856266310954996351939 y1[1] (numeric) = 1.403189930385626631095499635194 absolute error = 1e-31 relative error = 7.1266189868194007984447348130911e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1232.1MB, alloc=4.6MB, time=69.98 x[1] = 0.416 y2[1] (analytic) = 1.4041048449586534904764530253388 y2[1] (numeric) = 1.4041048449586534904764530253389 absolute error = 1e-31 relative error = 7.1219752826182070604914406193200e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4041048449586534904764530253388 y1[1] (numeric) = 1.4041048449586534904764530253389 absolute error = 1e-31 relative error = 7.1219752826182070604914406193200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1235.9MB, alloc=4.6MB, time=70.20 x[1] = 0.417 y2[1] (analytic) = 1.4050193554268690666065399800501 y2[1] (numeric) = 1.4050193554268690666065399800502 absolute error = 1e-31 relative error = 7.1173396732045928698095829088125e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4050193554268690666065399800501 y1[1] (numeric) = 1.4050193554268690666065399800502 absolute error = 1e-31 relative error = 7.1173396732045928698095829088125e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1239.7MB, alloc=4.6MB, time=70.42 x[1] = 0.418 y2[1] (analytic) = 1.4059334608757629674793875135654 y2[1] (numeric) = 1.4059334608757629674793875135654 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4059334608757629674793875135654 y1[1] (numeric) = 1.4059334608757629674793875135654 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1243.6MB, alloc=4.6MB, time=70.63 x[1] = 0.419 y2[1] (analytic) = 1.4068471603912298203765462883469 y2[1] (numeric) = 1.406847160391229820376546288347 absolute error = 1e-31 relative error = 7.1080926781123133363842279771556e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4068471603912298203765462883469 y1[1] (numeric) = 1.406847160391229820376546288347 absolute error = 1e-31 relative error = 7.1080926781123133363842279771556e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1247.4MB, alloc=4.6MB, time=70.85 x[1] = 0.42 y2[1] (analytic) = 1.4077604530595701859727871580863 y2[1] (numeric) = 1.4077604530595701859727871580864 absolute error = 1e-31 relative error = 7.1034812622178727307631452987902e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4077604530595701859727871580863 y1[1] (numeric) = 1.4077604530595701859727871580864 absolute error = 1e-31 relative error = 7.1034812622178727307631452987902e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1251.2MB, alloc=4.6MB, time=71.07 x[1] = 0.421 y2[1] (analytic) = 1.4086733379674914720354643513158 y2[1] (numeric) = 1.4086733379674914720354643513159 absolute error = 1e-31 relative error = 7.0988778806792281817865173858055e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4086733379674914720354643513158 y1[1] (numeric) = 1.4086733379674914720354643513159 absolute error = 1e-31 relative error = 7.0988778806792281817865173858055e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1255.0MB, alloc=4.6MB, time=71.29 x[1] = 0.422 y2[1] (analytic) = 1.4095858142021088467170315963406 y2[1] (numeric) = 1.4095858142021088467170315963407 absolute error = 1e-31 relative error = 7.0942825184860882417365036842568e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4095858142021088467170315963406 y1[1] (numeric) = 1.4095858142021088467170315963407 absolute error = 1e-31 relative error = 7.0942825184860882417365036842568e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1258.8MB, alloc=4.6MB, time=71.50 x[1] = 0.423 y2[1] (analytic) = 1.410497880850946151439797895052 y2[1] (numeric) = 1.410497880850946151439797895052 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.410497880850946151439797895052 y1[1] (numeric) = 1.410497880850946151439797895052 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1262.6MB, alloc=4.6MB, time=71.72 x[1] = 0.424 y2[1] (analytic) = 1.4114095370019368133720100609405 y2[1] (numeric) = 1.4114095370019368133720100609405 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4114095370019368133720100609405 y1[1] (numeric) = 1.4114095370019368133720100609405 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1266.4MB, alloc=4.6MB, time=71.93 x[1] = 0.425 y2[1] (analytic) = 1.4123207817434247574943495453043 y2[1] (numeric) = 1.4123207817434247574943495453043 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4123207817434247574943495453043 y1[1] (numeric) = 1.4123207817434247574943495453043 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1270.3MB, alloc=4.6MB, time=72.15 x[1] = 0.426 y2[1] (analytic) = 1.4132316141641653182559314852307 y2[1] (numeric) = 1.4132316141641653182559314852307 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4132316141641653182559314852307 y1[1] (numeric) = 1.4132316141641653182559314852307 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1274.1MB, alloc=4.6MB, time=72.37 x[1] = 0.427 y2[1] (analytic) = 1.4141420333533261508188943174277 y2[1] (numeric) = 1.4141420333533261508188943174277 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4141420333533261508188943174277 y1[1] (numeric) = 1.4141420333533261508188943174277 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1277.9MB, alloc=4.6MB, time=72.59 x[1] = 0.428 y2[1] (analytic) = 1.415052038400488141890668713393 y2[1] (numeric) = 1.4150520384004881418906687133931 absolute error = 1e-31 relative error = 7.0668779158846730656410996614544e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.415052038400488141890668713393 y1[1] (numeric) = 1.4150520384004881418906687133931 absolute error = 1e-31 relative error = 7.0668779158846730656410996614544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1281.7MB, alloc=4.6MB, time=72.80 x[1] = 0.429 y2[1] (analytic) = 1.4159616283956463201430150037265 y2[1] (numeric) = 1.4159616283956463201430150037266 absolute error = 1e-31 relative error = 7.0623382720692003463321548169335e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4159616283956463201430150037265 y1[1] (numeric) = 1.4159616283956463201430150037266 absolute error = 1e-31 relative error = 7.0623382720692003463321548169335e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1285.5MB, alloc=4.6MB, time=73.02 x[1] = 0.43 y2[1] (analytic) = 1.4168708024292107662169186726246 y2[1] (numeric) = 1.4168708024292107662169186726246 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4168708024292107662169186726246 y1[1] (numeric) = 1.4168708024292107662169186726246 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1289.3MB, alloc=4.6MB, time=73.23 x[1] = 0.431 y2[1] (analytic) = 1.4177795595920075223124339177373 y2[1] (numeric) = 1.4177795595920075223124339177373 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4177795595920075223124339177373 y1[1] (numeric) = 1.4177795595920075223124339177373 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1293.2MB, alloc=4.6MB, time=73.45 x[1] = 0.432 y2[1] (analytic) = 1.4186878989752795013625656856203 y2[1] (numeric) = 1.4186878989752795013625656856204 absolute error = 1e-31 relative error = 7.0487666859095758222539262364922e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4186878989752795013625656856203 y1[1] (numeric) = 1.4186878989752795013625656856204 absolute error = 1e-31 relative error = 7.0487666859095758222539262364922e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1297.0MB, alloc=4.6MB, time=73.67 x[1] = 0.433 y2[1] (analytic) = 1.4195958196706873957902810089753 y2[1] (numeric) = 1.4195958196706873957902810089754 absolute error = 1e-31 relative error = 7.0442585568614615462073174927280e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4195958196706873957902810089753 y1[1] (numeric) = 1.4195958196706873957902810089754 absolute error = 1e-31 relative error = 7.0442585568614615462073174927280e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1300.8MB, alloc=4.6MB, time=73.88 x[1] = 0.434 y2[1] (analytic) = 1.4205033207703105858477408887429 y2[1] (numeric) = 1.420503320770310585847740888743 absolute error = 1e-31 relative error = 7.0397582700314981895188796382634e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4205033207703105858477408887429 y1[1] (numeric) = 1.420503320770310585847740888743 absolute error = 1e-31 relative error = 7.0397582700314981895188796382634e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1304.6MB, alloc=4.6MB, time=74.10 x[1] = 0.435 y2[1] (analytic) = 1.4214104013666480475368443818927 y2[1] (numeric) = 1.4214104013666480475368443818928 absolute error = 1e-31 relative error = 7.0352658109053287605209010865791e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4214104013666480475368443818927 y1[1] (numeric) = 1.4214104013666480475368443818928 absolute error = 1e-31 relative error = 7.0352658109053287605209010865791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1308.4MB, alloc=4.6MB, time=74.32 x[1] = 0.436 y2[1] (analytic) = 1.4223170605526192601101769744414 y2[1] (numeric) = 1.4223170605526192601101769744415 absolute error = 1e-31 relative error = 7.0307811650059621126936613732069e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4223170605526192601101769744414 y1[1] (numeric) = 1.4223170605526192601101769744415 absolute error = 1e-31 relative error = 7.0307811650059621126936613732069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1312.2MB, alloc=4.6MB, time=74.53 x[1] = 0.437 y2[1] (analytic) = 1.4232232974215651131514557388264 y2[1] (numeric) = 1.4232232974215651131514557388265 absolute error = 1e-31 relative error = 7.0263043178936630526436610892146e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4232232974215651131514557388264 y1[1] (numeric) = 1.4232232974215651131514557388265 absolute error = 1e-31 relative error = 7.0263043178936630526436610892146e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1316.0MB, alloc=4.6MB, time=74.75 x[1] = 0.438 y2[1] (analytic) = 1.4241291110672488132345641952656 y2[1] (numeric) = 1.4241291110672488132345641952656 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4241291110672488132345641952656 y1[1] (numeric) = 1.4241291110672488132345641952656 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1319.9MB, alloc=4.6MB, time=74.97 x[1] = 0.439 y2[1] (analytic) = 1.425034500583856790160270218143 y2[1] (numeric) = 1.425034500583856790160270218143 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.425034500583856790160270218143 y1[1] (numeric) = 1.425034500583856790160270218143 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1323.7MB, alloc=4.6MB, time=75.19 x[1] = 0.44 y2[1] (analytic) = 1.4259394650659996027697207507799 y2[1] (numeric) = 1.42593946506599960276972075078 absolute error = 1e-31 relative error = 7.0129204254383618154964292748691e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4259394650659996027697207507799 y1[1] (numeric) = 1.42593946506599960276972075078 absolute error = 1e-31 relative error = 7.0129204254383618154964292748691e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1327.5MB, alloc=4.6MB, time=75.40 TOP MAIN SOLVE Loop x[1] = 0.441 y2[1] (analytic) = 1.4268440036087128443338075151701 y2[1] (numeric) = 1.4268440036087128443338075151702 absolute error = 1e-31 relative error = 7.0084746298182755677475337678301e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4268440036087128443338075151701 y1[1] (numeric) = 1.4268440036087128443338075151702 absolute error = 1e-31 relative error = 7.0084746298182755677475337678301e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1331.3MB, alloc=4.6MB, time=75.62 TOP MAIN SOLVE Loop x[1] = 0.442 y2[1] (analytic) = 1.4277481153074580475174983273898 y2[1] (numeric) = 1.4277481153074580475174983273899 absolute error = 1e-31 relative error = 7.0040365613416009266513641825170e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4277481153074580475174983273898 y1[1] (numeric) = 1.4277481153074580475174983273899 absolute error = 1e-31 relative error = 7.0040365613416009266513641825170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1335.1MB, alloc=4.6MB, time=75.84 TOP MAIN SOLVE Loop x[1] = 0.443 y2[1] (analytic) = 1.4286517992581235889182290544272 y2[1] (numeric) = 1.4286517992581235889182290544273 absolute error = 1e-31 relative error = 6.9996062057898521745726057039071e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4286517992581235889182290544272 y1[1] (numeric) = 1.4286517992581235889182290544273 absolute error = 1e-31 relative error = 6.9996062057898521745726057039071e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1338.9MB, alloc=4.6MB, time=76.06 TOP MAIN SOLVE Loop x[1] = 0.444 y2[1] (analytic) = 1.4295550545570255931774516741134 y2[1] (numeric) = 1.4295550545570255931774516741136 absolute error = 2e-31 relative error = 1.3990367097962082031495772041737e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4295550545570255931774516741134 y1[1] (numeric) = 1.4295550545570255931774516741136 absolute error = 2e-31 relative error = 1.3990367097962082031495772041737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1342.7MB, alloc=4.6MB, time=76.28 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=76.49 x[1] = 0.445 y2[1] (analytic) = 1.4304578803009088366644343266839 y2[1] (numeric) = 1.4304578803009088366644343266841 absolute error = 2e-31 relative error = 1.3981537153539139453968383215762e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4304578803009088366644343266839 y1[1] (numeric) = 1.4304578803009088366644343266841 absolute error = 2e-31 relative error = 1.3981537153539139453968383215762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1350.4MB, alloc=4.6MB, time=76.71 x[1] = 0.446 y2[1] (analytic) = 1.4313602755869476507314096742436 y2[1] (numeric) = 1.4313602755869476507314096742438 absolute error = 2e-31 relative error = 1.3972722550092249363914729646928e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4313602755869476507314096742436 y1[1] (numeric) = 1.4313602755869476507314096742438 absolute error = 2e-31 relative error = 1.3972722550092249363914729646928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1354.2MB, alloc=4.6MB, time=76.93 x[1] = 0.447 y2[1] (analytic) = 1.4322622395127468245391683130648 y2[1] (numeric) = 1.432262239512746824539168313065 absolute error = 2e-31 relative error = 1.3963923259475140495270355903392e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4322622395127468245391683130648 y1[1] (numeric) = 1.432262239512746824539168313065 absolute error = 2e-31 relative error = 1.3963923259475140495270355903392e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1358.0MB, alloc=4.6MB, time=77.15 x[1] = 0.448 y2[1] (analytic) = 1.4331637711763425074521944131981 y2[1] (numeric) = 1.4331637711763425074521944131983 absolute error = 2e-31 relative error = 1.3955139253613686102712135734871e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4331637711763425074521944131981 y1[1] (numeric) = 1.4331637711763425074521944131983 absolute error = 2e-31 relative error = 1.3955139253613686102712135734871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1361.8MB, alloc=4.6MB, time=77.37 x[1] = 0.449 y2[1] (analytic) = 1.4340648696762031110024411903364 y2[1] (numeric) = 1.4340648696762031110024411903366 absolute error = 2e-31 relative error = 1.3946370504505693234202339959084e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4340648696762031110024411903364 y1[1] (numeric) = 1.4340648696762031110024411903366 absolute error = 2e-31 relative error = 1.3946370504505693234202339959084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1365.6MB, alloc=4.6MB, time=77.58 x[1] = 0.45 y2[1] (analytic) = 1.4349655341112302104208442462319 y2[1] (numeric) = 1.4349655341112302104208442462321 absolute error = 2e-31 relative error = 1.3937616984220692739007625354088e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4349655341112302104208442462319 y1[1] (numeric) = 1.4349655341112302104208442462321 absolute error = 2e-31 relative error = 1.3937616984220692739007625354088e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1369.4MB, alloc=4.6MB, time=77.80 x[1] = 0.451 y2[1] (analytic) = 1.4358657635807594457356712462275 y2[1] (numeric) = 1.4358657635807594457356712462277 absolute error = 2e-31 relative error = 1.3928878664899730008294247694083e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4358657635807594457356712462275 y1[1] (numeric) = 1.4358657635807594457356712462277 absolute error = 2e-31 relative error = 1.3928878664899730008294247694083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1373.3MB, alloc=4.6MB, time=78.02 x[1] = 0.452 y2[1] (analytic) = 1.4367655571845614224368068356284 y2[1] (numeric) = 1.4367655571845614224368068356286 absolute error = 2e-31 relative error = 1.3920155518755156445413718650968e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4367655571845614224368068356284 y1[1] (numeric) = 1.4367655571845614224368068356286 absolute error = 2e-31 relative error = 1.3920155518755156445413718650968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1377.1MB, alloc=4.6MB, time=78.23 x[1] = 0.453 y2[1] (analytic) = 1.4376649140228426117050721307038 y2[1] (numeric) = 1.437664914022842611705072130704 absolute error = 2e-31 relative error = 1.3911447518070421663005979114133e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4376649140228426117050721307038 y1[1] (numeric) = 1.437664914022842611705072130704 absolute error = 2e-31 relative error = 1.3911447518070421663005979114133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1380.9MB, alloc=4.6MB, time=78.45 x[1] = 0.454 y2[1] (analytic) = 1.4385638331962462502056785550742 y2[1] (numeric) = 1.4385638331962462502056785550744 absolute error = 2e-31 relative error = 1.3902754635199866404059950902980e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4385638331962462502056785550742 y1[1] (numeric) = 1.4385638331962462502056785550744 absolute error = 2e-31 relative error = 1.3902754635199866404059950902980e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1384.7MB, alloc=4.6MB, time=78.67 x[1] = 0.455 y2[1] (analytic) = 1.4394623138058532394449162281053 y2[1] (numeric) = 1.4394623138058532394449162281055 absolute error = 2e-31 relative error = 1.3894076842568516184084055205015e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4394623138058532394449162281053 y1[1] (numeric) = 1.4394623138058532394449162281055 absolute error = 2e-31 relative error = 1.3894076842568516184084055205015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1388.5MB, alloc=4.6MB, time=78.88 x[1] = 0.456 y2[1] (analytic) = 1.4403603549531830446891775486958 y2[1] (numeric) = 1.440360354953183044689177548696 absolute error = 2e-31 relative error = 1.3885414112671875651551949709154e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4403603549531830446891775486958 y1[1] (numeric) = 1.440360354953183044689177548696 absolute error = 2e-31 relative error = 1.3885414112671875651551949709154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1392.3MB, alloc=4.6MB, time=79.09 x[1] = 0.457 y2[1] (analytic) = 1.4412579557401945934454170555095 y2[1] (numeric) = 1.4412579557401945934454170555097 absolute error = 2e-31 relative error = 1.3876766418075723663801337659614e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4412579557401945934454170555095 y1[1] (numeric) = 1.4412579557401945934454170555097 absolute error = 2e-31 relative error = 1.3876766418075723663801337659614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1396.1MB, alloc=4.6MB, time=79.31 x[1] = 0.458 y2[1] (analytic) = 1.442155115269287173502149083267 y2[1] (numeric) = 1.4421551152692871735021490832672 absolute error = 2e-31 relative error = 1.3868133731415909075576241268581e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.442155115269287173502149083267 y1[1] (numeric) = 1.4421551152692871735021490832672 absolute error = 2e-31 relative error = 1.3868133731415909075576241268581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1400.0MB, alloc=4.6MB, time=79.53 x[1] = 0.459 y2[1] (analytic) = 1.443051832643301330530085174175 y2[1] (numeric) = 1.4430518326433013305300851741752 absolute error = 2e-31 relative error = 1.3859516025398147237415609432060e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.443051832643301330530085174175 y1[1] (numeric) = 1.4430518326433013305300851741752 absolute error = 2e-31 relative error = 1.3859516025398147237415609432060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1403.8MB, alloc=4.6MB, time=79.74 x[1] = 0.46 y2[1] (analytic) = 1.4439481069655197652415136439289 y2[1] (numeric) = 1.4439481069655197652415136439291 absolute error = 2e-31 relative error = 1.3850913272797817201103545827305e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4439481069655197652415136439289 y1[1] (numeric) = 1.4439481069655197652415136439291 absolute error = 2e-31 relative error = 1.3850913272797817201103545827305e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1407.6MB, alloc=4.6MB, time=79.96 x[1] = 0.461 y2[1] (analytic) = 1.4448439373396682301075241429856 y2[1] (numeric) = 1.4448439373396682301075241429858 absolute error = 2e-31 relative error = 1.3842325446459759629408798564170e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4448439373396682301075241429856 y1[1] (numeric) = 1.4448439373396682301075241429858 absolute error = 2e-31 relative error = 1.3842325446459759629408798564170e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1411.4MB, alloc=4.6MB, time=80.18 x[1] = 0.462 y2[1] (analytic) = 1.4457393228699164256321804959556 y2[1] (numeric) = 1.4457393228699164256321804959559 absolute error = 3e-31 relative error = 2.0750628778947113111030170420665e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4457393228699164256321804959556 y1[1] (numeric) = 1.4457393228699164256321804959559 absolute error = 3e-31 relative error = 2.0750628778947113111030170420665e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1415.2MB, alloc=4.6MB, time=80.40 x[1] = 0.463 y2[1] (analytic) = 1.446634262660878896182745545017 y2[1] (numeric) = 1.4466342626608788961827455450173 absolute error = 3e-31 relative error = 2.0737791696443887428394432361618e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.446634262660878896182745545017 y1[1] (numeric) = 1.4466342626608788961827455450173 absolute error = 3e-31 relative error = 2.0737791696443887428394432361618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1419.0MB, alloc=4.6MB, time=80.62 x[1] = 0.464 y2[1] (analytic) = 1.4475287558176159253750621672001 y2[1] (numeric) = 1.4475287558176159253750621672004 absolute error = 3e-31 relative error = 2.0724976881757992329792901924556e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4475287558176159253750621672001 y1[1] (numeric) = 1.4475287558176159253750621672004 absolute error = 3e-31 relative error = 2.0724976881757992329792901924556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1422.9MB, alloc=4.6MB, time=80.83 x[1] = 0.465 y2[1] (analytic) = 1.4484228014456344310131950802375 y2[1] (numeric) = 1.4484228014456344310131950802378 absolute error = 3e-31 relative error = 2.0712184294570448105538116998624e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4484228014456344310131950802375 y1[1] (numeric) = 1.4484228014456344310131950802378 absolute error = 3e-31 relative error = 2.0712184294570448105538116998624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1426.7MB, alloc=4.6MB, time=81.05 x[1] = 0.466 y2[1] (analytic) = 1.4493163986508888595824384974118 y2[1] (numeric) = 1.449316398650888859582438497412 absolute error = 2e-31 relative error = 1.3799609263109978325140768698015e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4493163986508888595824384974118 y1[1] (numeric) = 1.449316398650888859582438497412 absolute error = 2e-31 relative error = 1.3799609263109978325140768698015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1430.5MB, alloc=4.6MB, time=81.27 x[1] = 0.467 y2[1] (analytic) = 1.4502095465397820802947951384674 y2[1] (numeric) = 1.4502095465397820802947951384676 absolute error = 2e-31 relative error = 1.3791110427951772511380882736165e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4502095465397820802947951384674 y1[1] (numeric) = 1.4502095465397820802947951384676 absolute error = 2e-31 relative error = 1.3791110427951772511380882736165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1434.3MB, alloc=4.6MB, time=81.48 x[1] = 0.468 y2[1] (analytic) = 1.4511022442191662786860325511832 y2[1] (numeric) = 1.4511022442191662786860325511834 absolute error = 2e-31 relative error = 1.3782626330897819958534223104394e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4511022442191662786860325511832 y1[1] (numeric) = 1.4511022442191662786860325511834 absolute error = 2e-31 relative error = 1.3782626330897819958534223104394e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1438.1MB, alloc=4.6MB, time=81.70 x[1] = 0.469 y2[1] (analytic) = 1.4519944907963438497634231466225 y2[1] (numeric) = 1.4519944907963438497634231466227 absolute error = 2e-31 relative error = 1.3774156945341462577382911993387e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4519944907963438497634231466225 y1[1] (numeric) = 1.4519944907963438497634231466227 absolute error = 2e-31 relative error = 1.3774156945341462577382911993387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1441.9MB, alloc=4.6MB, time=81.92 x[1] = 0.47 y2[1] (analytic) = 1.4528862853790682907032748003964 y2[1] (numeric) = 1.4528862853790682907032748003966 absolute error = 2e-31 relative error = 1.3765702244743716318964884762634e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4528862853790682907032748003964 y1[1] (numeric) = 1.4528862853790682907032748003966 absolute error = 2e-31 relative error = 1.3765702244743716318964884762634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1445.7MB, alloc=4.6MB, time=82.14 x[1] = 0.471 y2[1] (analytic) = 1.4537776270755450930973593224828 y2[1] (numeric) = 1.453777627075545093097359322483 absolute error = 2e-31 relative error = 1.3757262202633075977401392285386e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4537776270755450930973593224828 y1[1] (numeric) = 1.453777627075545093097359322483 absolute error = 2e-31 relative error = 1.3757262202633075977401392285386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1449.6MB, alloc=4.6MB, time=82.35 x[1] = 0.472 y2[1] (analytic) = 1.4546685149944326347473465492482 y2[1] (numeric) = 1.4546685149944326347473465492485 absolute error = 3e-31 relative error = 2.0623255188907981000974185016205e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4546685149944326347473465492482 y1[1] (numeric) = 1.4546685149944326347473465492485 absolute error = 3e-31 relative error = 2.0623255188907981000974185016205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1453.4MB, alloc=4.6MB, time=82.57 x[1] = 0.473 y2[1] (analytic) = 1.4555589482448430710063522633121 y2[1] (numeric) = 1.4555589482448430710063522633123 absolute error = 2e-31 relative error = 1.3740425988323319973217206585400e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4555589482448430710063522633121 y1[1] (numeric) = 1.4555589482448430710063522633123 absolute error = 2e-31 relative error = 1.3740425988323319973217206585400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1457.2MB, alloc=4.6MB, time=82.79 x[1] = 0.474 y2[1] (analytic) = 1.4564489259363432256667085997792 y2[1] (numeric) = 1.4564489259363432256667085997795 absolute error = 3e-31 relative error = 2.0598044645275261152337413724455e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4564489259363432256667085997792 y1[1] (numeric) = 1.4564489259363432256667085997795 absolute error = 3e-31 relative error = 2.0598044645275261152337413724455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1461.0MB, alloc=4.6MB, time=83.01 x[1] = 0.475 y2[1] (analytic) = 1.4573384471789554813930660511461 y2[1] (numeric) = 1.4573384471789554813930660511464 absolute error = 3e-31 relative error = 2.0585472137973532049309475167230e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4573384471789554813930660511461 y1[1] (numeric) = 1.4573384471789554813930660511464 absolute error = 3e-31 relative error = 2.0585472137973532049309475167230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1464.8MB, alloc=4.6MB, time=83.22 x[1] = 0.476 y2[1] (analytic) = 1.4582275110831586696999366378509 y2[1] (numeric) = 1.4582275110831586696999366378512 absolute error = 3e-31 relative error = 2.0572921421374269507083237401970e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4582275110831586696999366378509 y1[1] (numeric) = 1.4582275110831586696999366378512 absolute error = 3e-31 relative error = 2.0572921421374269507083237401970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1468.6MB, alloc=4.6MB, time=83.44 x[1] = 0.477 y2[1] (analytic) = 1.4591161167598889604727882670001 y2[1] (numeric) = 1.4591161167598889604727882670004 absolute error = 3e-31 relative error = 2.0560392456371432984306338850387e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4591161167598889604727882670001 y1[1] (numeric) = 1.4591161167598889604727882670004 absolute error = 3e-31 relative error = 2.0560392456371432984306338850387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1472.4MB, alloc=4.6MB, time=83.66 x[1] = 0.478 y2[1] (analytic) = 1.4600042633205407510318007582506 y2[1] (numeric) = 1.4600042633205407510318007582509 absolute error = 3e-31 relative error = 2.0547885203958178747186314812735e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4600042633205407510318007582506 y1[1] (numeric) = 1.4600042633205407510318007582509 absolute error = 3e-31 relative error = 2.0547885203958178747186314812735e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1476.3MB, alloc=4.6MB, time=83.87 x[1] = 0.479 y2[1] (analytic) = 1.4608919498769675547373944731655 y2[1] (numeric) = 1.4608919498769675547373944731658 absolute error = 3e-31 relative error = 2.0535399625226575059391913718104e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4608919498769675547373944731655 y1[1] (numeric) = 1.4608919498769675547373944731658 absolute error = 3e-31 relative error = 2.0535399625226575059391913718104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1480.1MB, alloc=4.6MB, time=84.09 x[1] = 0.48 y2[1] (analytic) = 1.4617791755414828891366429425886 y2[1] (numeric) = 1.4617791755414828891366429425889 absolute error = 3e-31 relative error = 2.0522935681367318352779055472654e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4617791755414828891366429425886 y1[1] (numeric) = 1.4617791755414828891366429425889 absolute error = 3e-31 relative error = 2.0522935681367318352779055472654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1483.9MB, alloc=4.6MB, time=84.30 x[1] = 0.481 y2[1] (analytic) = 1.4626659394268611636496813457004 y2[1] (numeric) = 1.4626659394268611636496813457007 absolute error = 3e-31 relative error = 2.0510493333669450375135061133943e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4626659394268611636496813457004 y1[1] (numeric) = 1.4626659394268611636496813457007 absolute error = 3e-31 relative error = 2.0510493333669450375135061133943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1487.7MB, alloc=4.6MB, time=84.52 x[1] = 0.482 y2[1] (analytic) = 1.4635522406463385667952231544191 y2[1] (numeric) = 1.4635522406463385667952231544193 absolute error = 2e-31 relative error = 1.3665381695680050874101002083019e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4635522406463385667952231544191 y1[1] (numeric) = 1.4635522406463385667952231544193 absolute error = 2e-31 relative error = 1.3665381695680050874101002083019e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1491.5MB, alloc=4.6MB, time=84.73 x[1] = 0.483 y2[1] (analytic) = 1.4644380783136139529542977177052 y2[1] (numeric) = 1.4644380783136139529542977177054 absolute error = 2e-31 relative error = 1.3657115514936055915235109251776e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4644380783136139529542977177052 y1[1] (numeric) = 1.4644380783136139529542977177054 absolute error = 2e-31 relative error = 1.3657115514936055915235109251776e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1495.3MB, alloc=4.6MB, time=84.95 x[1] = 0.484 y2[1] (analytic) = 1.4653234515428497286713220221064 y2[1] (numeric) = 1.4653234515428497286713220221065 absolute error = 1e-31 relative error = 6.8244318273012877852410495392399e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4653234515428497286713220221064 y1[1] (numeric) = 1.4653234515428497286713220221065 absolute error = 1e-31 relative error = 6.8244318273012877852410495392399e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1499.1MB, alloc=4.6MB, time=85.17 x[1] = 0.485 y2[1] (analytic) = 1.4662083594486727384916203275428 y2[1] (numeric) = 1.4662083594486727384916203275429 absolute error = 1e-31 relative error = 6.8203130445663428855982251168967e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4662083594486727384916203275428 y1[1] (numeric) = 1.4662083594486727384916203275429 absolute error = 1e-31 relative error = 6.8203130445663428855982251168967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1503.0MB, alloc=4.6MB, time=85.39 x[1] = 0.486 y2[1] (analytic) = 1.4670928011461751503345058408895 y2[1] (numeric) = 1.4670928011461751503345058408896 absolute error = 1e-31 relative error = 6.8162013965220464169894875020069e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4670928011461751503345058408895 y1[1] (numeric) = 1.4670928011461751503345058408896 absolute error = 1e-31 relative error = 6.8162013965220464169894875020069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1506.8MB, alloc=4.6MB, time=85.61 x[1] = 0.487 y2[1] (analytic) = 1.4679767757509153404010390543462 y2[1] (numeric) = 1.4679767757509153404010390543463 absolute error = 1e-31 relative error = 6.8120968704594743739553174860115e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4679767757509153404010390543462 y1[1] (numeric) = 1.4679767757509153404010390543463 absolute error = 1e-31 relative error = 6.8120968704594743739553174860115e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1510.6MB, alloc=4.6MB, time=85.82 x[1] = 0.488 y2[1] (analytic) = 1.4688602823789187776155778409106 y2[1] (numeric) = 1.4688602823789187776155778409107 absolute error = 1e-31 relative error = 6.8079994537018335478389492628169e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4688602823789187776155778409106 y1[1] (numeric) = 1.4688602823789187776155778409107 absolute error = 1e-31 relative error = 6.8079994537018335478389492628169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1514.4MB, alloc=4.6MB, time=86.04 x[1] = 0.489 y2[1] (analytic) = 1.4697433201466789076002348654785 y2[1] (numeric) = 1.4697433201466789076002348654787 absolute error = 2e-31 relative error = 1.3607818267208739606139731369318e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4697433201466789076002348654785 y1[1] (numeric) = 1.4697433201466789076002348654787 absolute error = 2e-31 relative error = 1.3607818267208739606139731369318e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1518.2MB, alloc=4.6MB, time=86.26 x[1] = 0.49 y2[1] (analytic) = 1.470625888171158036181358337188 y2[1] (numeric) = 1.4706258881711580361813583371881 absolute error = 1e-31 relative error = 6.7998258975542766679485161382967e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.470625888171158036181358337188 y1[1] (numeric) = 1.4706258881711580361813583371881 absolute error = 1e-31 relative error = 6.7998258975542766679485161382967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1522.0MB, alloc=4.6MB, time=86.47 x[1] = 0.491 y2[1] (analytic) = 1.4715079855697882124271525965983 y2[1] (numeric) = 1.4715079855697882124271525965984 absolute error = 1e-31 relative error = 6.7957497329706042387179977266591e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4715079855697882124271525965983 y1[1] (numeric) = 1.4715079855697882124271525965984 absolute error = 1e-31 relative error = 6.7957497329706042387179977266591e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1525.9MB, alloc=4.6MB, time=86.69 x[1] = 0.492 y2[1] (analytic) = 1.4723896114604721112155555001594 y2[1] (numeric) = 1.4723896114604721112155555001595 absolute error = 1e-31 relative error = 6.7916806273041683957137491818290e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4723896114604721112155555001594 y1[1] (numeric) = 1.4723896114604721112155555001595 absolute error = 1e-31 relative error = 6.7916806273041683957137491818290e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1529.7MB, alloc=4.6MB, time=86.91 x[1] = 0.493 y2[1] (analytic) = 1.4732707649615839153314900341658 y2[1] (numeric) = 1.473270764961583915331490034166 absolute error = 2e-31 relative error = 1.3575237136074920660775179976117e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4732707649615839153314900341658 y1[1] (numeric) = 1.473270764961583915331490034166 absolute error = 2e-31 relative error = 1.3575237136074920660775179976117e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1533.5MB, alloc=4.6MB, time=87.12 x[1] = 0.494 y2[1] (analytic) = 1.4741514451919701970926080610182 y2[1] (numeric) = 1.4741514451919701970926080610184 absolute error = 2e-31 relative error = 1.3567127085369112764015389390344e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4741514451919701970926080610182 y1[1] (numeric) = 1.4741514451919701970926080610184 absolute error = 2e-31 relative error = 1.3567127085369112764015389390344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1537.3MB, alloc=4.6MB, time=87.34 x[1] = 0.495 y2[1] (analytic) = 1.4750316512709507995026445721214 y2[1] (numeric) = 1.4750316512709507995026445721216 absolute error = 2e-31 relative error = 1.3559031077582056365682648978821e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4750316512709507995026445721214 y1[1] (numeric) = 1.4750316512709507995026445721216 absolute error = 2e-31 relative error = 1.3559031077582056365682648978821e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1541.1MB, alloc=4.6MB, time=87.55 x[1] = 0.496 y2[1] (analytic) = 1.475911382318319716931501294139 y2[1] (numeric) = 1.4759113823183197169315012941391 absolute error = 1e-31 relative error = 6.7754745439338531106323448957300e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.475911382318319716931501294139 y1[1] (numeric) = 1.4759113823183197169315012941391 absolute error = 1e-31 relative error = 6.7754745439338531106323448957300e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1544.9MB, alloc=4.6MB, time=87.77 x[1] = 0.497 y2[1] (analytic) = 1.4767906374543459753211789685932 y2[1] (numeric) = 1.4767906374543459753211789685933 absolute error = 1e-31 relative error = 6.7714405457213250471907401473979e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4767906374543459753211789685932 y1[1] (numeric) = 1.4767906374543459753211789685933 absolute error = 1e-31 relative error = 6.7714405457213250471907401473979e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1548.7MB, alloc=4.6MB, time=87.98 x[1] = 0.498 y2[1] (analytic) = 1.4776694157997745119166780989527 y2[1] (numeric) = 1.4776694157997745119166780989528 absolute error = 1e-31 relative error = 6.7674135317929654419164914090751e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4776694157997745119166780989527 y1[1] (numeric) = 1.4776694157997745119166780989528 absolute error = 1e-31 relative error = 6.7674135317929654419164914090751e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1552.6MB, alloc=4.6MB, time=88.20 x[1] = 0.499 y2[1] (analytic) = 1.4785477164758270545209884343788 y2[1] (numeric) = 1.4785477164758270545209884343789 absolute error = 1e-31 relative error = 6.7633934898194346790853178115197e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4785477164758270545209884343788 y1[1] (numeric) = 1.4785477164758270545209884343789 absolute error = 1e-31 relative error = 6.7633934898194346790853178115197e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1556.4MB, alloc=4.6MB, time=88.42 x[1] = 0.5 y2[1] (analytic) = 1.4794255386042030002732879352156 y2[1] (numeric) = 1.4794255386042030002732879352157 absolute error = 1e-31 relative error = 6.7593804075024437477288862816615e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4794255386042030002732879352156 y1[1] (numeric) = 1.4794255386042030002732879352157 absolute error = 1e-31 relative error = 6.7593804075024437477288862816615e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1560.2MB, alloc=4.6MB, time=88.63 x[1] = 0.501 y2[1] (analytic) = 1.4803028813070802939494724420977 y2[1] (numeric) = 1.4803028813070802939494724420978 absolute error = 1e-31 relative error = 6.7553742725746662129471785626320e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4803028813070802939494724420977 y1[1] (numeric) = 1.4803028813070802939494724420978 absolute error = 1e-31 relative error = 6.7553742725746662129471785626320e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1564.0MB, alloc=4.6MB, time=88.85 x[1] = 0.502 y2[1] (analytic) = 1.4811797437071163057841377482187 y2[1] (numeric) = 1.4811797437071163057841377482188 absolute error = 1e-31 relative error = 6.7513750727996504874957617449846e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4811797437071163057841377482187 y1[1] (numeric) = 1.4811797437071163057841377482188 absolute error = 1e-31 relative error = 6.7513750727996504874957617449846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1567.8MB, alloc=4.6MB, time=89.06 x[1] = 0.503 y2[1] (analytic) = 1.4820561249274487088131362528522 y2[1] (numeric) = 1.4820561249274487088131362528523 absolute error = 1e-31 relative error = 6.7473827959717324024957422027479e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4820561249274487088131362528522 y1[1] (numeric) = 1.4820561249274487088131362528523 absolute error = 1e-31 relative error = 6.7473827959717324024957422027479e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1571.6MB, alloc=4.6MB, time=89.28 x[1] = 0.504 y2[1] (analytic) = 1.4829320240916963557358308536409 y2[1] (numeric) = 1.482932024091696355735830853641 absolute error = 1e-31 relative error = 6.7433974299159480761191921752954e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4829320240916963557358308536409 y1[1] (numeric) = 1.482932024091696355735830853641 absolute error = 1e-31 relative error = 6.7433974299159480761191921752954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1575.4MB, alloc=4.6MB, time=89.50 TOP MAIN SOLVE Loop x[1] = 0.505 y2[1] (analytic) = 1.4838074403239601552961692154743 y2[1] (numeric) = 1.4838074403239601552961692154744 absolute error = 1e-31 relative error = 6.7394189624879470791078234866835e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4838074403239601552961692154743 y1[1] (numeric) = 1.4838074403239601552961692154744 absolute error = 1e-31 relative error = 6.7394189624879470791078234866835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1579.3MB, alloc=4.6MB, time=89.72 TOP MAIN SOLVE Loop x[1] = 0.506 y2[1] (analytic) = 1.4846823727488239481817020349524 y2[1] (numeric) = 1.4846823727488239481817020349524 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 y1[1] (analytic) = 1.4846823727488239481817020349524 y1[1] (numeric) = 1.4846823727488239481817020349524 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1583.1MB, alloc=4.6MB, time=89.94 TOP MAIN SOLVE Loop x[1] = 0.507 y2[1] (analytic) = 1.4855568204913553824396694014904 y2[1] (numeric) = 1.4855568204913553824396694014905 absolute error = 1e-31 relative error = 6.7314826750904416808472712504248e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4855568204913553824396694014904 y1[1] (numeric) = 1.4855568204913553824396694014905 absolute error = 1e-31 relative error = 6.7314826750904416808472712504248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1586.9MB, alloc=4.6MB, time=90.16 TOP MAIN SOLVE Loop x[1] = 0.508 y2[1] (analytic) = 1.4864307826771067884092798390526 y2[1] (numeric) = 1.4864307826771067884092798390527 absolute error = 1e-31 relative error = 6.7275248309845263065524865017368e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4864307826771067884092798390526 y1[1] (numeric) = 1.4864307826771067884092798390527 absolute error = 1e-31 relative error = 6.7275248309845263065524865017368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1590.7MB, alloc=4.6MB, time=90.38 TOP MAIN SOLVE Loop x[1] = 0.509 memory used=1594.5MB, alloc=4.6MB, time=90.60 y2[1] (analytic) = 1.4873042584321160531693070963062 y2[1] (numeric) = 1.4873042584321160531693070963063 absolute error = 1e-31 relative error = 6.7235738372334007062745124500645e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4873042584321160531693070963062 y1[1] (numeric) = 1.4873042584321160531693070963063 absolute error = 1e-31 relative error = 6.7235738372334007062745124500645e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1598.3MB, alloc=4.6MB, time=90.81 x[1] = 0.51 y2[1] (analytic) = 1.4881772468829074945001302376746 y2[1] (numeric) = 1.4881772468829074945001302376747 absolute error = 1e-31 relative error = 6.7196296818444895062143521595631e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4881772468829074945001302376746 y1[1] (numeric) = 1.4881772468829074945001302376747 absolute error = 1e-31 relative error = 6.7196296818444895062143521595631e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1602.1MB, alloc=4.6MB, time=91.03 x[1] = 0.511 y2[1] (analytic) = 1.4890497471564927343593430733201 y2[1] (numeric) = 1.4890497471564927343593430733202 absolute error = 1e-31 relative error = 6.7156923528553159484103799866212e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4890497471564927343593430733201 y1[1] (numeric) = 1.4890497471564927343593430733202 absolute error = 1e-31 relative error = 6.7156923528553159484103799866212e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1606.0MB, alloc=4.6MB, time=91.25 x[1] = 0.512 y2[1] (analytic) = 1.4899217583803715718700594525215 y2[1] (numeric) = 1.4899217583803715718700594525216 absolute error = 1e-31 relative error = 6.7117618383334171025211904344850e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4899217583803715718700594525215 y1[1] (numeric) = 1.4899217583803715718700594525216 absolute error = 1e-31 relative error = 6.7117618383334171025211904344850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1609.8MB, alloc=4.6MB, time=91.47 x[1] = 0.513 y2[1] (analytic) = 1.4907932796825328558210414322121 y2[1] (numeric) = 1.4907932796825328558210414322122 absolute error = 1e-31 relative error = 6.7078381263762593654805092991912e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4907932796825328558210414322121 y1[1] (numeric) = 1.4907932796825328558210414322122 absolute error = 1e-31 relative error = 6.7078381263762593654805092991912e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1613.6MB, alloc=4.6MB, time=91.68 x[1] = 0.514 y2[1] (analytic) = 1.4916643101914553566777778206244 y2[1] (numeric) = 1.4916643101914553566777778206246 absolute error = 2e-31 relative error = 1.3407842410222308495851490661266e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4916643101914553566777778206244 y1[1] (numeric) = 1.4916643101914553566777778206246 absolute error = 2e-31 relative error = 1.3407842410222308495851490661266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1617.4MB, alloc=4.6MB, time=91.90 x[1] = 0.515 y2[1] (analytic) = 1.4925348490361086381036410850348 y2[1] (numeric) = 1.492534849036108638103641085035 absolute error = 2e-31 relative error = 1.3400022125390348892613023637733e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4925348490361086381036410850348 y1[1] (numeric) = 1.492534849036108638103641085035 absolute error = 2e-31 relative error = 1.3400022125390348892613023637733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1621.2MB, alloc=4.6MB, time=92.12 x[1] = 0.516 y2[1] (analytic) = 1.4934048953459539279902511025232 y2[1] (numeric) = 1.4934048953459539279902511025234 absolute error = 2e-31 relative error = 1.3392215374630140399168351940075e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4934048953459539279902511025232 y1[1] (numeric) = 1.4934048953459539279902511025234 absolute error = 2e-31 relative error = 1.3392215374630140399168351940075e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1625.0MB, alloc=4.6MB, time=92.33 x[1] = 0.517 y2[1] (analytic) = 1.4942744482509449889961747234587 y2[1] (numeric) = 1.4942744482509449889961747234588 absolute error = 1e-31 relative error = 6.6922110671871859294381997784124e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4942744482509449889961747234587 y1[1] (numeric) = 1.4942744482509449889961747234588 absolute error = 1e-31 relative error = 6.6922110671871859294381997784124e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1628.9MB, alloc=4.6MB, time=92.55 x[1] = 0.518 y2[1] (analytic) = 1.4951435068815289885930906090811 y2[1] (numeric) = 1.4951435068815289885930906090813 absolute error = 2e-31 relative error = 1.3376642381114754325799438900171e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4951435068815289885930906090811 y1[1] (numeric) = 1.4951435068815289885930906090813 absolute error = 2e-31 relative error = 1.3376642381114754325799438900171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1632.7MB, alloc=4.6MB, time=92.77 x[1] = 0.519 y2[1] (analytic) = 1.4960120703686473686185492970897 y2[1] (numeric) = 1.4960120703686473686185492970899 absolute error = 2e-31 relative error = 1.3368876091401855472674942816782e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4960120703686473686185492970897 y1[1] (numeric) = 1.4960120703686473686185492970899 absolute error = 2e-31 relative error = 1.3368876091401855472674942816782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1636.5MB, alloc=4.6MB, time=92.98 x[1] = 0.52 y2[1] (analytic) = 1.4968801378437367143344589425478 y2[1] (numeric) = 1.4968801378437367143344589425479 absolute error = 1e-31 relative error = 6.6805616209224672797258116287453e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4968801378437367143344589425478 y1[1] (numeric) = 1.4968801378437367143344589425479 absolute error = 1e-31 relative error = 6.6805616209224672797258116287453e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1640.3MB, alloc=4.6MB, time=93.20 x[1] = 0.521 y2[1] (analytic) = 1.4977477084387296229904276756926 y2[1] (numeric) = 1.4977477084387296229904276756927 absolute error = 1e-31 relative error = 6.6766919045558889801291916285337e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.4977477084387296229904276756926 y1[1] (numeric) = 1.4977477084387296229904276756927 absolute error = 1e-31 relative error = 6.6766919045558889801291916285337e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1644.1MB, alloc=4.6MB, time=93.42 x[1] = 0.522 y2[1] (analytic) = 1.4986147812860555718910940133795 y2[1] (numeric) = 1.4986147812860555718910940133797 absolute error = 2e-31 relative error = 1.3345657769928535246684097984632e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4986147812860555718910940133795 y1[1] (numeric) = 1.4986147812860555718910940133797 absolute error = 2e-31 relative error = 1.3345657769928535246684097984632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1647.9MB, alloc=4.6MB, time=93.63 x[1] = 0.523 y2[1] (analytic) = 1.4994813555186417859665772569024 y2[1] (numeric) = 1.4994813555186417859665772569026 absolute error = 2e-31 relative error = 1.3337945101079555825255285919355e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.4994813555186417859665772569024 y1[1] (numeric) = 1.4994813555186417859665772569026 absolute error = 2e-31 relative error = 1.3337945101079555825255285919355e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1651.7MB, alloc=4.6MB, time=93.85 x[1] = 0.524 y2[1] (analytic) = 1.5003474302699141048451803058119 y2[1] (numeric) = 1.5003474302699141048451803058121 absolute error = 2e-31 relative error = 1.3330245779407226127007832915351e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5003474302699141048451803058119 y1[1] (numeric) = 1.5003474302699141048451803058121 absolute error = 2e-31 relative error = 1.3330245779407226127007832915351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1655.6MB, alloc=4.6MB, time=94.06 x[1] = 0.525 y2[1] (analytic) = 1.5012130046737978494274778151016 y2[1] (numeric) = 1.5012130046737978494274778151018 absolute error = 2e-31 relative error = 1.3322559781811807347057990272818e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5012130046737978494274778151016 y1[1] (numeric) = 1.5012130046737978494274778151018 absolute error = 2e-31 relative error = 1.3322559781811807347057990272818e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1659.4MB, alloc=4.6MB, time=94.28 x[1] = 0.526 y2[1] (analytic) = 1.5020780778647186879609231217462 y2[1] (numeric) = 1.5020780778647186879609231217464 absolute error = 2e-31 relative error = 1.3314887085251273732086883157176e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5020780778647186879609231217462 y1[1] (numeric) = 1.5020780778647186879609231217464 absolute error = 2e-31 relative error = 1.3314887085251273732086883157176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1663.2MB, alloc=4.6MB, time=94.50 x[1] = 0.527 y2[1] (analytic) = 1.5029426489776035016141078660558 y2[1] (numeric) = 1.502942648977603501614107866056 absolute error = 2e-31 relative error = 1.3307227666741151413661738030400e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5029426489776035016141078660558 y1[1] (numeric) = 1.502942648977603501614107866056 absolute error = 2e-31 relative error = 1.3307227666741151413661738030400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1667.0MB, alloc=4.6MB, time=94.71 x[1] = 0.528 y2[1] (analytic) = 1.5038067171478812495498087336605 y2[1] (numeric) = 1.5038067171478812495498087336607 absolute error = 2e-31 relative error = 1.3299581503354357785325967403921e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5038067171478812495498087336605 y1[1] (numeric) = 1.5038067171478812495498087336607 absolute error = 2e-31 relative error = 1.3299581503354357785325967403921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1670.8MB, alloc=4.6MB, time=94.93 x[1] = 0.529 y2[1] (analytic) = 1.504670281511483833495956245149 y2[1] (numeric) = 1.5046702815114838334959562451492 absolute error = 2e-31 relative error = 1.3291948572221041421399137414038e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.504670281511483833495956245149 y1[1] (numeric) = 1.5046702815114838334959562451492 absolute error = 2e-31 relative error = 1.3291948572221041421399137414038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1674.6MB, alloc=4.6MB, time=95.15 x[1] = 0.53 y2[1] (analytic) = 1.5055333412048469618136610224661 y2[1] (numeric) = 1.5055333412048469618136610224662 absolute error = 1e-31 relative error = 6.6421644252642112677183443406037e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5055333412048469618136610224661 y1[1] (numeric) = 1.5055333412048469618136610224662 absolute error = 1e-31 relative error = 6.6421644252642112677183443406037e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1678.4MB, alloc=4.6MB, time=95.37 x[1] = 0.531 y2[1] (analytic) = 1.5063958953649110130614334641129 y2[1] (numeric) = 1.506395895364911013061433464113 absolute error = 1e-31 relative error = 6.6383611577603169881540419324482e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5063958953649110130614334641129 y1[1] (numeric) = 1.506395895364911013061433464113 absolute error = 1e-31 relative error = 6.6383611577603169881540419324482e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1682.3MB, alloc=4.6MB, time=95.59 x[1] = 0.532 y2[1] (analytic) = 1.5072579431291218990547332650042 y2[1] (numeric) = 1.5072579431291218990547332650043 absolute error = 1e-31 relative error = 6.6345644722492813799304082429314e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5072579431291218990547332650042 y1[1] (numeric) = 1.5072579431291218990547332650043 absolute error = 1e-31 relative error = 6.6345644722492813799304082429314e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1686.1MB, alloc=4.6MB, time=95.80 x[1] = 0.533 y2[1] (analytic) = 1.5081194836354319274199857215036 y2[1] (numeric) = 1.5081194836354319274199857215037 absolute error = 1e-31 relative error = 6.6307743574098460670732175881597e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5081194836354319274199857215036 y1[1] (numeric) = 1.5081194836354319274199857215037 absolute error = 1e-31 relative error = 6.6307743574098460670732175881597e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1689.9MB, alloc=4.6MB, time=96.02 x[1] = 0.534 y2[1] (analytic) = 1.508980516022300663642202267693 y2[1] (numeric) = 1.5089805160223006636422022676931 absolute error = 1e-31 relative error = 6.6269908019489720880967078764287e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.508980516022300663642202267693 y1[1] (numeric) = 1.5089805160223006636422022676931 absolute error = 1e-31 relative error = 6.6269908019489720880967078764287e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1693.7MB, alloc=4.6MB, time=96.24 x[1] = 0.535 y2[1] (analytic) = 1.5098410394286957926053431953273 y2[1] (numeric) = 1.5098410394286957926053431953274 absolute error = 1e-31 relative error = 6.6232137946017614591601753016797e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5098410394286957926053431953273 y1[1] (numeric) = 1.5098410394286957926053431953274 absolute error = 1e-31 relative error = 6.6232137946017614591601753016797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1697.5MB, alloc=4.6MB, time=96.45 x[1] = 0.536 y2[1] (analytic) = 1.5107010529940939796245610171836 y2[1] (numeric) = 1.5107010529940939796245610171837 absolute error = 1e-31 relative error = 6.6194433241313790009957605261762e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5107010529940939796245610171836 y1[1] (numeric) = 1.5107010529940939796245610171837 absolute error = 1e-31 relative error = 6.6194433241313790009957605261762e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1701.3MB, alloc=4.6MB, time=96.67 x[1] = 0.537 y2[1] (analytic) = 1.511560555858481730969463441633 y2[1] (numeric) = 1.5115605558584817309694634416332 absolute error = 2e-31 relative error = 1.3231358758657948857225473833000e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.511560555858481730969463441633 y1[1] (numeric) = 1.5115605558584817309694634416332 absolute error = 2e-31 relative error = 1.3231358758657948857225473833000e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1705.1MB, alloc=4.6MB, time=96.89 x[1] = 0.538 y2[1] (analytic) = 1.5124195471623562538775354352446 y2[1] (numeric) = 1.5124195471623562538775354352448 absolute error = 2e-31 relative error = 1.3223843898027209405575737760683e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5124195471623562538775354352446 y1[1] (numeric) = 1.5124195471623562538775354352448 absolute error = 2e-31 relative error = 1.3223843898027209405575737760683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1709.0MB, alloc=4.6MB, time=97.10 x[1] = 0.539 y2[1] (analytic) = 1.5132780260467263160568603600697 y2[1] (numeric) = 1.5132780260467263160568603600698 absolute error = 1e-31 relative error = 6.6081710220321566423556456920712e-30 % Correct digits = 31 h = 0.001 y1[1] (analytic) = 1.5132780260467263160568603600697 y1[1] (numeric) = 1.5132780260467263160568603600698 absolute error = 1e-31 relative error = 6.6081710220321566423556456920712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1712.8MB, alloc=4.6MB, time=97.32 x[1] = 0.54 y2[1] (analytic) = 1.5141359916531131046772806829582 y2[1] (numeric) = 1.5141359916531131046772806829584 absolute error = 2e-31 relative error = 1.3208853174518539592632826995509e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5141359916531131046772806829582 y1[1] (numeric) = 1.5141359916531131046772806829584 absolute error = 2e-31 relative error = 1.3208853174518539592632826995509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1716.6MB, alloc=4.6MB, time=97.54 x[1] = 0.541 y2[1] (analytic) = 1.514993443123551084849139265818 y2[1] (numeric) = 1.5149934431235510848491392658182 absolute error = 2e-31 relative error = 1.3201377267194519149569251119036e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.514993443123551084849139265818 y1[1] (numeric) = 1.5149934431235510848491392658182 absolute error = 2e-31 relative error = 1.3201377267194519149569251119036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1720.4MB, alloc=4.6MB, time=97.75 x[1] = 0.542 y2[1] (analytic) = 1.5158503796005888575887427581458 y2[1] (numeric) = 1.515850379600588857588742758146 absolute error = 2e-31 relative error = 1.3193914299952081275607216677827e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5158503796005888575887427581458 y1[1] (numeric) = 1.515850379600588857588742758146 absolute error = 2e-31 relative error = 1.3193914299952081275607216677827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1724.2MB, alloc=4.6MB, time=97.97 x[1] = 0.543 y2[1] (analytic) = 1.51670680022729001726968912644 y2[1] (numeric) = 1.5167068002272900172696891264403 absolute error = 3e-31 relative error = 1.9779696376059151623172196496815e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.51670680022729001726968912644 y1[1] (numeric) = 1.5167068002272900172696891264403 absolute error = 3e-31 relative error = 1.9779696376059151623172196496815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1728.0MB, alloc=4.6MB, time=98.19 x[1] = 0.544 y2[1] (analytic) = 1.5175627041472340085592018692383 y2[1] (numeric) = 1.5175627041472340085592018692386 absolute error = 3e-31 relative error = 1.9768540646139520912543040282447e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5175627041472340085592018692383 y1[1] (numeric) = 1.5175627041472340085592018692386 absolute error = 3e-31 relative error = 1.9768540646139520912543040282447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1731.9MB, alloc=4.6MB, time=98.40 x[1] = 0.545 y2[1] (analytic) = 1.5184180905045169828386139815162 y2[1] (numeric) = 1.5184180905045169828386139815165 absolute error = 3e-31 relative error = 1.9757404227205995702123881659403e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5184180905045169828386139815162 y1[1] (numeric) = 1.5184180905045169828386139815165 absolute error = 3e-31 relative error = 1.9757404227205995702123881659403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1735.7MB, alloc=4.6MB, time=98.62 x[1] = 0.546 y2[1] (analytic) = 1.5192729584437526541071452480364 y2[1] (numeric) = 1.5192729584437526541071452480367 absolute error = 3e-31 relative error = 1.9746287086377228006093725917199e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5192729584437526541071452480364 y1[1] (numeric) = 1.5192729584437526541071452480367 absolute error = 3e-31 relative error = 1.9746287086377228006093725917199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1739.5MB, alloc=4.6MB, time=98.84 x[1] = 0.547 y2[1] (analytic) = 1.5201273071100731543681169619403 y2[1] (numeric) = 1.5201273071100731543681169619406 absolute error = 3e-31 relative error = 1.9735189190853529923274502509189e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5201273071100731543681169619403 y1[1] (numeric) = 1.5201273071100731543681169619406 absolute error = 3e-31 relative error = 1.9735189190853529923274502509189e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1743.3MB, alloc=4.6MB, time=99.06 x[1] = 0.548 y2[1] (analytic) = 1.5209811356491298884967486824406 y2[1] (numeric) = 1.5209811356491298884967486824409 absolute error = 3e-31 relative error = 1.9724110507916648384530105965906e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5209811356491298884967486824406 y1[1] (numeric) = 1.5209811356491298884967486824409 absolute error = 3e-31 relative error = 1.9724110507916648384530105965906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1747.1MB, alloc=4.6MB, time=99.27 x[1] = 0.549 y2[1] (analytic) = 1.5218344432070943885886821638876 y2[1] (numeric) = 1.5218344432070943885886821638879 absolute error = 3e-31 relative error = 1.9713051004929540653665314810331e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5218344432070943885886821638876 y1[1] (numeric) = 1.5218344432070943885886821638879 absolute error = 3e-31 relative error = 1.9713051004929540653665314810331e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1750.9MB, alloc=4.6MB, time=99.49 x[1] = 0.55 y2[1] (analytic) = 1.5226872289306591677883781077573 y2[1] (numeric) = 1.5226872289306591677883781077576 absolute error = 3e-31 relative error = 1.9702010649336150579001937438213e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5226872289306591677883781077573 y1[1] (numeric) = 1.5226872289306591677883781077576 absolute error = 3e-31 relative error = 1.9702010649336150579001937438213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1754.7MB, alloc=4.6MB, time=99.71 x[1] = 0.551 y2[1] (analytic) = 1.5235394919670385735965319092362 y2[1] (numeric) = 1.5235394919670385735965319092365 absolute error = 3e-31 relative error = 1.9690989408661185592821544877914e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5235394919670385735965319092362 y1[1] (numeric) = 1.5235394919670385735965319092365 absolute error = 3e-31 relative error = 1.9690989408661185592821544877914e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1758.6MB, alloc=4.6MB, time=99.93 x[1] = 0.552 y2[1] (analytic) = 1.5243912314639696406556550910571 y2[1] (numeric) = 1.5243912314639696406556550910574 absolute error = 3e-31 relative error = 1.9679987250509894455876104826618e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5243912314639696406556550910571 y1[1] (numeric) = 1.5243912314639696406556550910574 absolute error = 3e-31 relative error = 1.9679987250509894455876104826618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1762.4MB, alloc=4.6MB, time=100.15 x[1] = 0.553 y2[1] (analytic) = 1.525242446569712943012969639076 y2[1] (numeric) = 1.5252424465697129430129696390763 absolute error = 3e-31 relative error = 1.9669004142567845744179729665876e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.525242446569712943012969639076 y1[1] (numeric) = 1.5252424465697129430129696390763 absolute error = 3e-31 relative error = 1.9669004142567845744179729665876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1766.2MB, alloc=4.6MB, time=100.36 x[1] = 0.554 y2[1] (analytic) = 1.5260931364330534458597629767672 y2[1] (numeric) = 1.5260931364330534458597629767675 absolute error = 3e-31 relative error = 1.9658040052600707075306593580387e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5260931364330534458597629767672 y1[1] (numeric) = 1.5260931364330534458597629767675 absolute error = 3e-31 relative error = 1.9658040052600707075306593580387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1770.0MB, alloc=4.6MB, time=100.58 x[1] = 0.555 y2[1] (analytic) = 1.5269433002033013567463518393519 y2[1] (numeric) = 1.5269433002033013567463518393522 absolute error = 3e-31 relative error = 1.9647094948454025071431860728961e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5269433002033013567463518393519 y1[1] (numeric) = 1.5269433002033013567463518393522 absolute error = 3e-31 relative error = 1.9647094948454025071431860728961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1773.8MB, alloc=4.6MB, time=100.80 x[1] = 0.556 y2[1] (analytic) = 1.5277929370302929762718038326678 y2[1] (numeric) = 1.5277929370302929762718038326682 absolute error = 4e-31 relative error = 2.6181558397404008075152263911432e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5277929370302929762718038326678 y1[1] (numeric) = 1.5277929370302929762718038326682 absolute error = 4e-31 relative error = 2.6181558397404008075152263911432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1777.6MB, alloc=4.6MB, time=101.01 x[1] = 0.557 y2[1] (analytic) = 1.5286420460643915482475659871291 y2[1] (numeric) = 1.5286420460643915482475659871294 absolute error = 3e-31 relative error = 1.9625261569402297483830121847351e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5286420460643915482475659871291 y1[1] (numeric) = 1.5286420460643915482475659871294 absolute error = 3e-31 relative error = 1.9625261569402297483830121847351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1781.4MB, alloc=4.6MB, time=101.23 x[1] = 0.558 y2[1] (analytic) = 1.5294906264564881093341501432183 y2[1] (numeric) = 1.5294906264564881093341501432186 absolute error = 3e-31 relative error = 1.9614373230585770094282052319826e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5294906264564881093341501432183 y1[1] (numeric) = 1.5294906264564881093341501432186 absolute error = 3e-31 relative error = 1.9614373230585770094282052319826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1785.3MB, alloc=4.6MB, time=101.44 x[1] = 0.559 y2[1] (analytic) = 1.530338677358002338150025531897 y2[1] (numeric) = 1.5303386773580023381500255318973 absolute error = 3e-31 relative error = 1.9603503749766300797513510980665e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.530338677358002338150025531897 y1[1] (numeric) = 1.5303386773580023381500255318973 absolute error = 3e-31 relative error = 1.9603503749766300797513510980665e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1789.1MB, alloc=4.6MB, time=101.66 x[1] = 0.56 y2[1] (analytic) = 1.531186197920883403851869441112 y2[1] (numeric) = 1.5311861979208834038518694411123 absolute error = 3e-31 relative error = 1.9592653095185556278376417192731e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.531186197920883403851869441112 y1[1] (numeric) = 1.5311861979208834038518694411123 absolute error = 3e-31 relative error = 1.9592653095185556278376417192731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1792.9MB, alloc=4.6MB, time=101.88 x[1] = 0.561 y2[1] (analytic) = 1.5320331872976108141853273882178 y2[1] (numeric) = 1.5320331872976108141853273882181 absolute error = 3e-31 relative error = 1.9581821235163777322906892761426e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5320331872976108141853273882178 y1[1] (numeric) = 1.5320331872976108141853273882181 absolute error = 3e-31 relative error = 1.9581821235163777322906892761426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1796.7MB, alloc=4.6MB, time=102.10 x[1] = 0.562 y2[1] (analytic) = 1.5328796446411952630054347476258 y2[1] (numeric) = 1.532879644641195263005434747626 absolute error = 2e-31 relative error = 1.3047338758733042574784928271987e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5328796446411952630054347476258 y1[1] (numeric) = 1.532879644641195263005434747626 absolute error = 2e-31 relative error = 1.3047338758733042574784928271987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1800.5MB, alloc=4.6MB, time=102.32 x[1] = 0.563 y2[1] (analytic) = 1.5337255691051794772658523133289 y2[1] (numeric) = 1.5337255691051794772658523133291 absolute error = 2e-31 relative error = 1.3040142514979773820802886197566e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5337255691051794772658523133289 y1[1] (numeric) = 1.5337255691051794772658523133291 absolute error = 2e-31 relative error = 1.3040142514979773820802886197566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1804.3MB, alloc=4.6MB, time=102.53 x[1] = 0.564 y2[1] (analytic) = 1.5345709598436390634760688071373 y2[1] (numeric) = 1.5345709598436390634760688071375 absolute error = 2e-31 relative error = 1.3032958737885829426834442747690e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5345709598436390634760688071373 y1[1] (numeric) = 1.5345709598436390634760688071375 absolute error = 2e-31 relative error = 1.3032958737885829426834442747690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1808.1MB, alloc=4.6MB, time=102.75 x[1] = 0.565 y2[1] (analytic) = 1.5354158160111833536257238754924 y2[1] (numeric) = 1.5354158160111833536257238754927 absolute error = 3e-31 relative error = 1.9538681109809208855882172695213e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5354158160111833536257238754924 y1[1] (numeric) = 1.5354158160111833536257238754927 absolute error = 3e-31 relative error = 1.9538681109809208855882172695213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1812.0MB, alloc=4.6MB, time=102.97 x[1] = 0.566 y2[1] (analytic) = 1.5362601367629562505752056506075 y2[1] (numeric) = 1.5362601367629562505752056506078 absolute error = 3e-31 relative error = 1.9527942750120956089119300874199e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5362601367629562505752056506075 y1[1] (numeric) = 1.5362601367629562505752056506078 absolute error = 3e-31 relative error = 1.9527942750120956089119300874199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1815.8MB, alloc=4.6MB, time=103.19 x[1] = 0.567 y2[1] (analytic) = 1.5371039212546370729116774854067 y2[1] (numeric) = 1.537103921254637072911677485407 absolute error = 3e-31 relative error = 1.9517222996551182088093657339211e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5371039212546370729116774854067 y1[1] (numeric) = 1.537103921254637072911677485407 absolute error = 3e-31 relative error = 1.9517222996551182088093657339211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1819.6MB, alloc=4.6MB, time=103.41 TOP MAIN SOLVE Loop x[1] = 0.568 y2[1] (analytic) = 1.5379471686424413992696890063077 y2[1] (numeric) = 1.537947168642441399269689006308 absolute error = 3e-31 relative error = 1.9506521817964167432559284414346e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5379471686424413992696890063077 y1[1] (numeric) = 1.537947168642441399269689006308 absolute error = 3e-31 relative error = 1.9506521817964167432559284414346e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1823.4MB, alloc=4.6MB, time=103.62 TOP MAIN SOLVE Loop x[1] = 0.569 y2[1] (analytic) = 1.5387898780831219121155271633056 y2[1] (numeric) = 1.5387898780831219121155271633059 absolute error = 3e-31 relative error = 1.9495839183301067027675885089173e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5387898780831219121155271633056 y1[1] (numeric) = 1.5387898780831219121155271633059 absolute error = 3e-31 relative error = 1.9495839183301067027675885089173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1827.2MB, alloc=4.6MB, time=103.84 TOP MAIN SOLVE Loop x[1] = 0.57 y2[1] (analytic) = 1.5396320487339692409944634930788 y2[1] (numeric) = 1.5396320487339692409944634930792 absolute error = 4e-31 relative error = 2.5980233415439601059285561241638e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5396320487339692409944634930788 y1[1] (numeric) = 1.5396320487339692409944634930792 absolute error = 4e-31 relative error = 2.5980233415439601059285561241638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1831.0MB, alloc=4.6MB, time=104.06 TOP MAIN SOLVE Loop x[1] = 0.571 y2[1] (analytic) = 1.540473679752812805240054347939 y2[1] (numeric) = 1.5404736797528128052400543479393 absolute error = 3e-31 relative error = 1.9474529421894345054352430921479e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.540473679752812805240054347939 y1[1] (numeric) = 1.5404736797528128052400543479393 absolute error = 3e-31 relative error = 1.9474529421894345054352430921479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1834.8MB, alloc=4.6MB, time=104.27 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=104.49 x[1] = 0.572 y2[1] (analytic) = 1.5413147702980216561446513813949 y2[1] (numeric) = 1.5413147702980216561446513813952 absolute error = 3e-31 relative error = 1.9463902233415524605243305671844e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5413147702980216561446513813949 y1[1] (numeric) = 1.5413147702980216561446513813952 absolute error = 3e-31 relative error = 1.9463902233415524605243305671844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1842.5MB, alloc=4.6MB, time=104.71 x[1] = 0.573 y2[1] (analytic) = 1.5421553195285053185902801198912 y2[1] (numeric) = 1.5421553195285053185902801198916 absolute error = 4e-31 relative error = 2.5937724620519740648720780338251e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5421553195285053185902801198912 y1[1] (numeric) = 1.5421553195285053185902801198916 absolute error = 4e-31 relative error = 2.5937724620519740648720780338251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1846.3MB, alloc=4.6MB, time=104.92 x[1] = 0.574 y2[1] (analytic) = 1.5429953266037146321390449899122 y2[1] (numeric) = 1.5429953266037146321390449899126 absolute error = 4e-31 relative error = 2.5923604116186117907448842985784e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5429953266037146321390449899122 y1[1] (numeric) = 1.5429953266037146321390449899126 absolute error = 4e-31 relative error = 2.5923604116186117907448842985784e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1850.1MB, alloc=4.6MB, time=105.14 x[1] = 0.575 y2[1] (analytic) = 1.5438347906836425915822197101162 y2[1] (numeric) = 1.5438347906836425915822197101165 absolute error = 3e-31 relative error = 1.9432131068062902997971764793626e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5438347906836425915822197101162 y1[1] (numeric) = 1.5438347906836425915822197101165 absolute error = 3e-31 relative error = 1.9432131068062902997971764793626e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1853.9MB, alloc=4.6MB, time=105.36 x[1] = 0.576 y2[1] (analytic) = 1.5446737109288251869471824994803 y2[1] (numeric) = 1.5446737109288251869471824994807 absolute error = 4e-31 relative error = 2.5895436503510936525583490675233e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5446737109288251869471824994803 y1[1] (numeric) = 1.5446737109288251869471824994807 absolute error = 4e-31 relative error = 2.5895436503510936525583490675233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1857.7MB, alloc=4.6MB, time=105.57 x[1] = 0.577 y2[1] (analytic) = 1.5455120865003422429613560945909 y2[1] (numeric) = 1.5455120865003422429613560945913 absolute error = 4e-31 relative error = 2.5881389313865545286809513847620e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5455120865003422429613560945909 y1[1] (numeric) = 1.5455120865003422429613560945913 absolute error = 4e-31 relative error = 2.5881389313865545286809513847620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1861.6MB, alloc=4.6MB, time=105.79 x[1] = 0.578 y2[1] (analytic) = 1.546349916559818257972313112208 y2[1] (numeric) = 1.5463499165598182579723131122084 absolute error = 4e-31 relative error = 2.5867366481312613825045902384411e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.546349916559818257972313112208 y1[1] (numeric) = 1.5463499165598182579723131122084 absolute error = 4e-31 relative error = 2.5867366481312613825045902384411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1865.4MB, alloc=4.6MB, time=106.01 x[1] = 0.579 y2[1] (analytic) = 1.5471872002694232423232078370701 y2[1] (numeric) = 1.5471872002694232423232078370705 absolute error = 4e-31 relative error = 2.5853367965450141894771019072715e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5471872002694232423232078370701 y1[1] (numeric) = 1.5471872002694232423232078370705 absolute error = 4e-31 relative error = 2.5853367965450141894771019072715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1869.2MB, alloc=4.6MB, time=106.23 x[1] = 0.58 y2[1] (analytic) = 1.5480239367918735561826960595765 y2[1] (numeric) = 1.5480239367918735561826960595769 absolute error = 4e-31 relative error = 2.5839393725975608816817965314317e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5480239367918735561826960595765 y1[1] (numeric) = 1.5480239367918735561826960595769 absolute error = 4e-31 relative error = 2.5839393725975608816817965314317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1873.0MB, alloc=4.6MB, time=106.44 x[1] = 0.581 y2[1] (analytic) = 1.548860125290432746828505133497 y2[1] (numeric) = 1.5488601252904327468285051334975 absolute error = 5e-31 relative error = 3.2281804653357130491008198431710e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.548860125290432746828505133497 y1[1] (numeric) = 1.5488601252904327468285051334975 absolute error = 5e-31 relative error = 3.2281804653357130491008198431710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1876.8MB, alloc=4.6MB, time=106.66 x[1] = 0.582 y2[1] (analytic) = 1.5496957649289123853838169702094 y2[1] (numeric) = 1.5496957649289123853838169702099 absolute error = 5e-31 relative error = 3.2264397394345075885131932768842e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5496957649289123853838169702094 y1[1] (numeric) = 1.5496957649289123853838169702099 absolute error = 5e-31 relative error = 3.2264397394345075885131932768842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1880.6MB, alloc=4.6MB, time=106.88 x[1] = 0.583 y2[1] (analytic) = 1.5505308548716729030056272331506 y2[1] (numeric) = 1.550530854871672903005627233151 absolute error = 4e-31 relative error = 2.5797616264340984820052287188203e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5505308548716729030056272331506 y1[1] (numeric) = 1.550530854871672903005627233151 absolute error = 4e-31 relative error = 2.5797616264340984820052287188203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1884.4MB, alloc=4.6MB, time=107.10 x[1] = 0.584 y2[1] (analytic) = 1.5513653942836244265242445441924 y2[1] (numeric) = 1.5513653942836244265242445441928 absolute error = 4e-31 relative error = 2.5783738729373192328170867158314e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5513653942836244265242445441924 y1[1] (numeric) = 1.5513653942836244265242445441928 absolute error = 4e-31 relative error = 2.5783738729373192328170867158314e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1888.3MB, alloc=4.6MB, time=107.31 x[1] = 0.585 y2[1] (analytic) = 1.5521993823302276135330940625129 y2[1] (numeric) = 1.5521993823302276135330940625133 absolute error = 4e-31 relative error = 2.5769885270763541823143261673348e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5521993823302276135330940625129 y1[1] (numeric) = 1.5521993823302276135330940625133 absolute error = 4e-31 relative error = 2.5769885270763541823143261673348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1892.1MB, alloc=4.6MB, time=107.53 x[1] = 0.586 y2[1] (analytic) = 1.553032818177494486927990346228 y2[1] (numeric) = 1.5530328181774944869279903462284 absolute error = 4e-31 relative error = 2.5756055848800770211301769406875e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.553032818177494486927990346228 y1[1] (numeric) = 1.5530328181774944869279903462284 absolute error = 4e-31 relative error = 2.5756055848800770211301769406875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1895.9MB, alloc=4.6MB, time=107.75 x[1] = 0.587 y2[1] (analytic) = 1.5538657009919892688950449575815 y2[1] (numeric) = 1.5538657009919892688950449575818 absolute error = 3e-31 relative error = 1.9306687817903421683568350759275e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5538657009919892688950449575815 y1[1] (numeric) = 1.5538657009919892688950449575818 absolute error = 3e-31 relative error = 1.9306687817903421683568350759275e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1899.7MB, alloc=4.6MB, time=107.96 x[1] = 0.588 y2[1] (analytic) = 1.5546980299408292143463748238537 y2[1] (numeric) = 1.5546980299408292143463748238541 absolute error = 4e-31 relative error = 2.5728468956458620920628916261977e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5546980299408292143463748238537 y1[1] (numeric) = 1.5546980299408292143463748238541 absolute error = 4e-31 relative error = 2.5728468956458620920628916261977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1903.5MB, alloc=4.6MB, time=108.18 x[1] = 0.589 y2[1] (analytic) = 1.5555298041916854438027779183523 y2[1] (numeric) = 1.5555298041916854438027779183526 absolute error = 3e-31 relative error = 1.9286033555357804059629559135390e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5555298041916854438027779183523 y1[1] (numeric) = 1.5555298041916854438027779183526 absolute error = 3e-31 relative error = 1.9286033555357804059629559135390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1907.3MB, alloc=4.6MB, time=108.39 x[1] = 0.59 y2[1] (analytic) = 1.5563610229127837757225433788758 y2[1] (numeric) = 1.5563610229127837757225433788761 absolute error = 3e-31 relative error = 1.9275733302453152399987334892936e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5563610229127837757225433788758 y1[1] (numeric) = 1.5563610229127837757225433788761 absolute error = 3e-31 relative error = 1.9275733302453152399987334892936e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1911.1MB, alloc=4.6MB, time=108.61 x[1] = 0.591 y2[1] (analytic) = 1.5571916852729055582755637349123 y2[1] (numeric) = 1.5571916852729055582755637349126 absolute error = 3e-31 relative error = 1.9265450929210652289562725750459e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5571916852729055582755637349123 y1[1] (numeric) = 1.5571916852729055582755637349126 absolute error = 3e-31 relative error = 1.9265450929210652289562725750459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1915.0MB, alloc=4.6MB, time=108.83 x[1] = 0.592 y2[1] (analytic) = 1.5580217904413885005619174695279 y2[1] (numeric) = 1.5580217904413885005619174695282 absolute error = 3e-31 relative error = 1.9255186406283176658325460556518e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5580217904413885005619174695279 y1[1] (numeric) = 1.5580217904413885005619174695282 absolute error = 3e-31 relative error = 1.9255186406283176658325460556518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1918.8MB, alloc=4.6MB, time=109.05 x[1] = 0.593 y2[1] (analytic) = 1.5588513375881275032740906974331 y2[1] (numeric) = 1.5588513375881275032740906974334 absolute error = 3e-31 relative error = 1.9244939704395635811032683253698e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5588513375881275032740906974331 y1[1] (numeric) = 1.5588513375881275032740906974334 absolute error = 3e-31 relative error = 1.9244939704395635811032683253698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1922.6MB, alloc=4.6MB, time=109.27 x[1] = 0.594 y2[1] (analytic) = 1.559680325883575488802007297074 y2[1] (numeric) = 1.5596803258835754888020072970743 absolute error = 3e-31 relative error = 1.9234710794344784087676146934343e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.559680325883575488802007297074 y1[1] (numeric) = 1.5596803258835754888020072970743 absolute error = 3e-31 relative error = 1.9234710794344784087676146934343e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1926.4MB, alloc=4.6MB, time=109.49 x[1] = 0.595 y2[1] (analytic) = 1.5605087544987442307800373917875 y2[1] (numeric) = 1.5605087544987442307800373917878 absolute error = 3e-31 relative error = 1.9224499646999027159207060638935e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5605087544987442307800373917875 y1[1] (numeric) = 1.5605087544987442307800373917878 absolute error = 3e-31 relative error = 1.9224499646999027159207060638935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1930.2MB, alloc=4.6MB, time=109.70 x[1] = 0.596 y2[1] (analytic) = 1.5613366226052051830751546330814 y2[1] (numeric) = 1.5613366226052051830751546330818 absolute error = 4e-31 relative error = 2.5619074977730973274952243587692e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5613366226052051830751546330814 y1[1] (numeric) = 1.5613366226052051830751546330818 absolute error = 4e-31 relative error = 2.5619074977730973274952243587692e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1934.0MB, alloc=4.6MB, time=109.92 x[1] = 0.597 y2[1] (analytic) = 1.5621639293750903082154132979511 y2[1] (numeric) = 1.5621639293750903082154132979515 absolute error = 4e-31 relative error = 2.5605507365671366970987262853847e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5621639293750903082154132979511 y1[1] (numeric) = 1.5621639293750903082154132979515 absolute error = 4e-31 relative error = 2.5605507365671366970987262853847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1937.8MB, alloc=4.6MB, time=110.13 x[1] = 0.598 y2[1] (analytic) = 1.5629906739810929052579167718239 y2[1] (numeric) = 1.5629906739810929052579167718243 absolute error = 4e-31 relative error = 2.5591963321262830308577410800442e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5629906739810929052579167718239 y1[1] (numeric) = 1.5629906739810929052579167718243 absolute error = 4e-31 relative error = 2.5591963321262830308577410800442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1941.7MB, alloc=4.6MB, time=110.35 x[1] = 0.599 y2[1] (analytic) = 1.5638168555964684370954495492333 y2[1] (numeric) = 1.5638168555964684370954495492337 absolute error = 4e-31 relative error = 2.5578442806042825389642120815260e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5638168555964684370954495492333 y1[1] (numeric) = 1.5638168555964684370954495492337 absolute error = 4e-31 relative error = 2.5578442806042825389642120815260e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1945.5MB, alloc=4.6MB, time=110.56 x[1] = 0.6 y2[1] (analytic) = 1.5646424733950353572009454456587 y2[1] (numeric) = 1.5646424733950353572009454456591 absolute error = 4e-31 relative error = 2.5564945781643077326410928561345e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5646424733950353572009454456587 y1[1] (numeric) = 1.5646424733950353572009454456591 absolute error = 4e-31 relative error = 2.5564945781643077326410928561345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1949.3MB, alloc=4.6MB, time=110.78 x[1] = 0.601 y2[1] (analytic) = 1.5654675265511759358089652761314 y2[1] (numeric) = 1.5654675265511759358089652761318 absolute error = 4e-31 relative error = 2.5551472209789322319978038525926e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5654675265511759358089652761314 y1[1] (numeric) = 1.5654675265511759358089652761318 absolute error = 4e-31 relative error = 2.5551472209789322319978038525926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1953.1MB, alloc=4.6MB, time=111.00 x[1] = 0.602 y2[1] (analytic) = 1.5662920142398370855333578191989 y2[1] (numeric) = 1.5662920142398370855333578191993 absolute error = 4e-31 relative error = 2.5538022052301056564468631264239e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5662920142398370855333578191989 y1[1] (numeric) = 1.5662920142398370855333578191993 absolute error = 4e-31 relative error = 2.5538022052301056564468631264239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1956.9MB, alloc=4.6MB, time=111.22 x[1] = 0.603 y2[1] (analytic) = 1.5671159356365311864202784486542 y2[1] (numeric) = 1.5671159356365311864202784486546 absolute error = 4e-31 relative error = 2.5524595271091285973806931471070e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5671159356365311864202784486542 y1[1] (numeric) = 1.5671159356365311864202784486546 absolute error = 4e-31 relative error = 2.5524595271091285973806931471070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1960.7MB, alloc=4.6MB, time=111.44 x[1] = 0.604 y2[1] (analytic) = 1.5679392899173369104357403800814 y2[1] (numeric) = 1.5679392899173369104357403800817 absolute error = 3e-31 relative error = 1.9133393871124707546066428237444e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5679392899173369104357403800814 y1[1] (numeric) = 1.5679392899173369104357403800817 absolute error = 3e-31 relative error = 1.9133393871124707546066428237444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1964.5MB, alloc=4.6MB, time=111.66 x[1] = 0.605 y2[1] (analytic) = 1.5687620762589000453868740447335 y2[1] (numeric) = 1.5687620762589000453868740447338 absolute error = 3e-31 relative error = 1.9123358764218979977429178075048e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5687620762589000453868740447335 y1[1] (numeric) = 1.5687620762589000453868740447338 absolute error = 3e-31 relative error = 1.9123358764218979977429178075048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1968.4MB, alloc=4.6MB, time=111.87 x[1] = 0.606 y2[1] (analytic) = 1.569584293838434318276070669554 y2[1] (numeric) = 1.5695842938384343182760706695543 absolute error = 3e-31 relative error = 1.9113341104245312985738499121208e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.569584293838434318276070669554 y1[1] (numeric) = 1.5695842938384343182760706695543 absolute error = 3e-31 relative error = 1.9113341104245312985738499121208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1972.2MB, alloc=4.6MB, time=112.09 x[1] = 0.607 y2[1] (analytic) = 1.5704059418337222180871867092646 y2[1] (numeric) = 1.5704059418337222180871867092649 absolute error = 3e-31 relative error = 1.9103340862917125377134027828155e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5704059418337222180871867092646 y1[1] (numeric) = 1.5704059418337222180871867092649 absolute error = 3e-31 relative error = 1.9103340862917125377134027828155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1976.0MB, alloc=4.6MB, time=112.30 x[1] = 0.608 y2[1] (analytic) = 1.5712270194231158180029863443854 y2[1] (numeric) = 1.5712270194231158180029863443857 absolute error = 3e-31 relative error = 1.9093358012017038898897357501372e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5712270194231158180029863443854 y1[1] (numeric) = 1.5712270194231158180029863443857 absolute error = 3e-31 relative error = 1.9093358012017038898897357501372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1979.8MB, alloc=4.6MB, time=112.52 x[1] = 0.609 y2[1] (analytic) = 1.5720475257855375970529998278124 y2[1] (numeric) = 1.5720475257855375970529998278127 absolute error = 3e-31 relative error = 1.9083392523396694189351418018318e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5720475257855375970529998278124 y1[1] (numeric) = 1.5720475257855375970529998278127 absolute error = 3e-31 relative error = 1.9083392523396694189351418018318e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1983.6MB, alloc=4.6MB, time=112.74 x[1] = 0.61 y2[1] (analytic) = 1.5728674601004812611909760321627 y2[1] (numeric) = 1.5728674601004812611909760321631 absolute error = 4e-31 relative error = 2.5431259158635423105558908746238e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5728674601004812611909760321627 y1[1] (numeric) = 1.5728674601004812611909760321631 absolute error = 4e-31 relative error = 2.5431259158635423105558908746238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1987.4MB, alloc=4.6MB, time=112.95 x[1] = 0.611 y2[1] (analytic) = 1.5736868215480125638011081205036 y2[1] (numeric) = 1.573686821548012563801108120504 absolute error = 4e-31 relative error = 2.5418018027661049322544134603525e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5736868215480125638011081205036 y1[1] (numeric) = 1.573686821548012563801108120504 absolute error = 4e-31 relative error = 2.5418018027661049322544134603525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1991.3MB, alloc=4.6MB, time=113.17 x[1] = 0.612 y2[1] (analytic) = 1.5745056093087701256322118343075 y2[1] (numeric) = 1.5745056093087701256322118343079 absolute error = 4e-31 relative error = 2.5404799934349269588794312811304e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5745056093087701256322118343075 y1[1] (numeric) = 1.5745056093087701256322118343079 absolute error = 4e-31 relative error = 2.5404799934349269588794312811304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1995.1MB, alloc=4.6MB, time=113.39 x[1] = 0.613 y2[1] (analytic) = 1.5753238225639662541590364645238 y2[1] (numeric) = 1.5753238225639662541590364645242 absolute error = 4e-31 relative error = 2.5391604841534600833601357482618e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5753238225639662541590364645238 y1[1] (numeric) = 1.5753238225639662541590364645242 absolute error = 4e-31 relative error = 2.5391604841534600833601357482618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1998.9MB, alloc=4.6MB, time=113.60 x[1] = 0.614 y2[1] (analytic) = 1.576141460495387762369889144524 y2[1] (numeric) = 1.5761414604953877623698891445244 absolute error = 4e-31 relative error = 2.5378432712142370143779476661849e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.576141460495387762369889144524 y1[1] (numeric) = 1.5761414604953877623698891445244 absolute error = 4e-31 relative error = 2.5378432712142370143779476661849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2002.7MB, alloc=4.6MB, time=113.82 x[1] = 0.615 y2[1] (analytic) = 1.5769585222853967869797536773647 y2[1] (numeric) = 1.5769585222853967869797536773651 absolute error = 4e-31 relative error = 2.5365283509188474131374191095646e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5769585222853967869797536773647 y1[1] (numeric) = 1.5769585222853967869797536773651 absolute error = 4e-31 relative error = 2.5365283509188474131374191095646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2006.5MB, alloc=4.6MB, time=114.04 x[1] = 0.616 y2[1] (analytic) = 1.5777750071169316060680856843173 y2[1] (numeric) = 1.5777750071169316060680856843177 absolute error = 4e-31 relative error = 2.5352157195779139085961557428693e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5777750071169316060680856843173 y1[1] (numeric) = 1.5777750071169316060680856843177 absolute error = 4e-31 relative error = 2.5352157195779139085961557428693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2010.3MB, alloc=4.6MB, time=114.26 x[1] = 0.617 y2[1] (analytic) = 1.5785909141735074561404664369381 y2[1] (numeric) = 1.5785909141735074561404664369385 absolute error = 4e-31 relative error = 2.5339053735110681908697696400172e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5785909141735074561404664369381 y1[1] (numeric) = 1.5785909141735074561404664369385 absolute error = 4e-31 relative error = 2.5339053735110681908697696400172e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2014.1MB, alloc=4.6MB, time=114.48 x[1] = 0.618 y2[1] (analytic) = 1.579406242639217348613298311092 y2[1] (numeric) = 1.5794062426392173486132983110924 absolute error = 4e-31 relative error = 2.5325973090469271825290463468486e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.579406242639217348613298311092 y1[1] (numeric) = 1.5794062426392173486132983110924 absolute error = 4e-31 relative error = 2.5325973090469271825290463468486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2018.0MB, alloc=4.6MB, time=114.70 x[1] = 0.619 y2[1] (analytic) = 1.5802209916987328857207253783037 y2[1] (numeric) = 1.580220991698732885720725378304 absolute error = 3e-31 relative error = 1.8984686418923019656307587032541e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5802209916987328857207253783037 y1[1] (numeric) = 1.580220991698732885720725378304 absolute error = 3e-31 relative error = 1.8984686418923019656307587032541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2021.8MB, alloc=4.6MB, time=114.92 x[1] = 0.62 y2[1] (analytic) = 1.5810351605373050758429632275822 y2[1] (numeric) = 1.5810351605373050758429632275826 absolute error = 4e-31 relative error = 2.5299880102860107173400795091577e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5810351605373050758429632275822 y1[1] (numeric) = 1.5810351605373050758429632275826 absolute error = 4e-31 relative error = 2.5299880102860107173400795091577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2025.6MB, alloc=4.6MB, time=115.14 x[1] = 0.621 y2[1] (analytic) = 1.581848748340765148255222689459 y2[1] (numeric) = 1.5818487483407651482552226894594 absolute error = 4e-31 relative error = 2.5286867686911818944499549570956e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.581848748340765148255222689459 y1[1] (numeric) = 1.5818487483407651482552226894594 absolute error = 4e-31 relative error = 2.5286867686911818944499549570956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2029.4MB, alloc=4.6MB, time=115.35 x[1] = 0.622 y2[1] (analytic) = 1.5826617542955253672964127133811 y2[1] (numeric) = 1.5826617542955253672964127133815 absolute error = 4e-31 relative error = 2.5273877941029039322114490206169e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5826617542955253672964127133811 y1[1] (numeric) = 1.5826617542955253672964127133815 absolute error = 4e-31 relative error = 2.5273877941029039322114490206169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2033.2MB, alloc=4.6MB, time=115.57 x[1] = 0.623 y2[1] (analytic) = 1.583474177588579845956808229827 y2[1] (numeric) = 1.5834741775885798459568082298274 absolute error = 4e-31 relative error = 2.5260910828943651915058464807565e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.583474177588579845956808229827 y1[1] (numeric) = 1.5834741775885798459568082298274 absolute error = 4e-31 relative error = 2.5260910828943651915058464807565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2037.0MB, alloc=4.6MB, time=115.78 x[1] = 0.624 y2[1] (analytic) = 1.584286017407505358883869409543 y2[1] (numeric) = 1.5842860174075053588838694095434 absolute error = 4e-31 relative error = 2.5247966314475979134979400920675e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.584286017407505358883869409543 y1[1] (numeric) = 1.5842860174075053588838694095434 absolute error = 4e-31 relative error = 2.5247966314475979134979400920675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2040.8MB, alloc=4.6MB, time=116.00 x[1] = 0.625 y2[1] (analytic) = 1.5850972729404621548053993141501 y2[1] (numeric) = 1.5850972729404621548053993141505 absolute error = 4e-31 relative error = 2.5235044361534549283573163334562e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5850972729404621548053993141501 y1[1] (numeric) = 1.5850972729404621548053993141505 absolute error = 4e-31 relative error = 2.5235044361534549283573163334562e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2044.7MB, alloc=4.6MB, time=116.22 x[1] = 0.626 y2[1] (analytic) = 1.5859079433761947683692275150305 y2[1] (numeric) = 1.585907943376194768369227515031 absolute error = 5e-31 relative error = 3.1527681167644830495636780169081e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5859079433761947683692275150305 y1[1] (numeric) = 1.585907943376194768369227515031 absolute error = 5e-31 relative error = 3.1527681167644830495636780169081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2048.5MB, alloc=4.6MB, time=116.44 x[1] = 0.627 y2[1] (analytic) = 1.5867180279040328313986078408783 y2[1] (numeric) = 1.5867180279040328313986078408788 absolute error = 5e-31 relative error = 3.1511584995380211051682052279292e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5867180279040328313986078408783 y1[1] (numeric) = 1.5867180279040328313986078408788 absolute error = 5e-31 relative error = 3.1511584995380211051682052279292e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2052.3MB, alloc=4.6MB, time=116.65 x[1] = 0.628 y2[1] (analytic) = 1.5875275257138918835625189985835 y2[1] (numeric) = 1.587527525713891883562518998584 absolute error = 5e-31 relative error = 3.1495516890339023333394325558619e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5875275257138918835625189985835 y1[1] (numeric) = 1.587527525713891883562518998584 absolute error = 5e-31 relative error = 3.1495516890339023333394325558619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2056.1MB, alloc=4.6MB, time=116.86 x[1] = 0.629 y2[1] (analytic) = 1.5883364359962741824600573972178 y2[1] (numeric) = 1.5883364359962741824600573972183 absolute error = 5e-31 relative error = 3.1479476807845064625111254148045e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5883364359962741824600573972178 y1[1] (numeric) = 1.5883364359962741824600573972183 absolute error = 5e-31 relative error = 3.1479476807845064625111254148045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2059.9MB, alloc=4.6MB, time=117.08 TOP MAIN SOLVE Loop x[1] = 0.63 y2[1] (analytic) = 1.5891447579422695131181120907946 y2[1] (numeric) = 1.5891447579422695131181120907951 absolute error = 5e-31 relative error = 3.1463464703330947989267061188544e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5891447579422695131181120907946 y1[1] (numeric) = 1.5891447579422695131181120907951 absolute error = 5e-31 relative error = 3.1463464703330947989267061188544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2063.7MB, alloc=4.6MB, time=117.29 TOP MAIN SOLVE Loop x[1] = 0.631 y2[1] (analytic) = 1.5899524907435559969015123421982 y2[1] (numeric) = 1.5899524907435559969015123421986 absolute error = 4e-31 relative error = 2.5157984425870253399954939598020e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5899524907435559969015123421982 y1[1] (numeric) = 1.5899524907435559969015123421986 absolute error = 4e-31 relative error = 2.5157984425870253399954939598020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2067.5MB, alloc=4.6MB, time=117.51 TOP MAIN SOLVE Loop x[1] = 0.632 y2[1] (analytic) = 1.5907596335924008998348388981996 y2[1] (numeric) = 1.5907596335924008998348388982001 absolute error = 5e-31 relative error = 3.1431524250515059902085356868577e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5907596335924008998348388981996 y1[1] (numeric) = 1.5907596335924008998348388982001 absolute error = 5e-31 relative error = 3.1431524250515059902085356868577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2071.4MB, alloc=4.6MB, time=117.73 TOP MAIN SOLVE Loop x[1] = 0.633 y2[1] (analytic) = 1.5915661856816614403350906538176 y2[1] (numeric) = 1.5915661856816614403350906538181 absolute error = 5e-31 relative error = 3.1415595813620028443053863485678e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5915661856816614403350906538176 y1[1] (numeric) = 1.5915661856816614403350906538181 absolute error = 5e-31 relative error = 3.1415595813620028443053863485678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2075.2MB, alloc=4.6MB, time=117.95 TOP MAIN SOLVE Loop x[1] = 0.634 y2[1] (analytic) = 1.592372146204785596354398973423 y2[1] (numeric) = 1.5923721462047855963543989734235 memory used=2079.0MB, alloc=4.6MB, time=118.16 absolute error = 5e-31 relative error = 3.1399695177517752623214800625988e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.592372146204785596354398973423 y1[1] (numeric) = 1.5923721462047855963543989734235 absolute error = 5e-31 relative error = 3.1399695177517752623214800625988e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2082.8MB, alloc=4.6MB, time=118.38 x[1] = 0.635 y2[1] (analytic) = 1.5931775143558129119319825259412 y2[1] (numeric) = 1.5931775143558129119319825259417 absolute error = 5e-31 relative error = 3.1383822298180660112259439874575e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5931775143558129119319825259412 y1[1] (numeric) = 1.5931775143558129119319825259417 absolute error = 5e-31 relative error = 3.1383822298180660112259439874575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2086.6MB, alloc=4.6MB, time=118.59 x[1] = 0.636 y2[1] (analytic) = 1.5939822893293753031545360822647 y2[1] (numeric) = 1.5939822893293753031545360822652 absolute error = 5e-31 relative error = 3.1367977131688295077979760798106e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5939822893293753031545360822647 y1[1] (numeric) = 1.5939822893293753031545360822652 absolute error = 5e-31 relative error = 3.1367977131688295077979760798106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2090.4MB, alloc=4.6MB, time=118.81 x[1] = 0.637 y2[1] (analytic) = 1.5947864703206978635242473145531 y2[1] (numeric) = 1.5947864703206978635242473145536 absolute error = 5e-31 relative error = 3.1352159634227038174227952728381e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5947864703206978635242473145531 y1[1] (numeric) = 1.5947864703206978635242473145536 absolute error = 5e-31 relative error = 3.1352159634227038174227952728381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2094.3MB, alloc=4.6MB, time=119.03 x[1] = 0.638 y2[1] (analytic) = 1.5955900565255996687336362294726 y2[1] (numeric) = 1.5955900565255996687336362294731 absolute error = 5e-31 relative error = 3.1336369762089827434805003294951e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5955900565255996687336362294726 y1[1] (numeric) = 1.5955900565255996687336362294731 absolute error = 5e-31 relative error = 3.1336369762089827434805003294951e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2098.1MB, alloc=4.6MB, time=119.25 x[1] = 0.639 y2[1] (analytic) = 1.5963930471404945808464124606007 y2[1] (numeric) = 1.5963930471404945808464124606013 absolute error = 6e-31 relative error = 3.7584728966011056084043605506247e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5963930471404945808464124606007 y1[1] (numeric) = 1.5963930471404945808464124606013 absolute error = 6e-31 relative error = 3.7584728966011056084043605506247e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2101.9MB, alloc=4.6MB, time=119.46 x[1] = 0.64 y2[1] (analytic) = 1.5971954413623920518835462392079 y2[1] (numeric) = 1.5971954413623920518835462392085 absolute error = 6e-31 relative error = 3.7565847263388498195366901161187e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5971954413623920518835462392079 y1[1] (numeric) = 1.5971954413623920518835462392085 absolute error = 6e-31 relative error = 3.7565847263388498195366901161187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2105.7MB, alloc=4.6MB, time=119.68 x[1] = 0.641 y2[1] (analytic) = 1.5979972383888979268137494574101 y2[1] (numeric) = 1.5979972383888979268137494574107 absolute error = 6e-31 relative error = 3.7546998554573252712998503007224e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5979972383888979268137494574101 y1[1] (numeric) = 1.5979972383888979268137494574107 absolute error = 6e-31 relative error = 3.7546998554573252712998503007224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2109.5MB, alloc=4.6MB, time=119.90 x[1] = 0.642 y2[1] (analytic) = 1.5987984374182152459475638332798 y2[1] (numeric) = 1.5987984374182152459475638332804 absolute error = 6e-31 relative error = 3.7528182787624993034383534258944e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.5987984374182152459475638332798 y1[1] (numeric) = 1.5987984374182152459475638332804 absolute error = 6e-31 relative error = 3.7528182787624993034383534258944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2113.3MB, alloc=4.6MB, time=120.12 x[1] = 0.643 y2[1] (analytic) = 1.599599037649145046734253783893 y2[1] (numeric) = 1.5995990376491450467342537838936 absolute error = 6e-31 relative error = 3.7509399910729602947351372520969e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.599599037649145046734253783893 y1[1] (numeric) = 1.5995990376491450467342537838936 absolute error = 6e-31 relative error = 3.7509399910729602947351372520969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2117.1MB, alloc=4.6MB, time=120.34 x[1] = 0.644 y2[1] (analytic) = 1.6003990382810871649607022094871 y2[1] (numeric) = 1.6003990382810871649607022094876 absolute error = 5e-31 relative error = 3.1242208226832373453605988089680e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6003990382810871649607022094871 y1[1] (numeric) = 1.6003990382810871649607022094876 absolute error = 5e-31 relative error = 3.1242208226832373453605988089680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2121.0MB, alloc=4.6MB, time=120.55 x[1] = 0.645 y2[1] (analytic) = 1.6011984385140410353515079898995 y2[1] (numeric) = 1.6011984385140410353515079899 absolute error = 5e-31 relative error = 3.1226610517058373997297782263254e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6011984385140410353515079898995 y1[1] (numeric) = 1.6011984385140410353515079899 absolute error = 5e-31 relative error = 3.1226610517058373997297782263254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2124.8MB, alloc=4.6MB, time=120.77 x[1] = 0.646 y2[1] (analytic) = 1.6019972375486064915694845932574 y2[1] (numeric) = 1.6019972375486064915694845932579 absolute error = 5e-31 relative error = 3.1211040086754794321640212816942e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6019972375486064915694845932574 y1[1] (numeric) = 1.6019972375486064915694845932579 absolute error = 5e-31 relative error = 3.1211040086754794321640212816942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2128.6MB, alloc=4.6MB, time=120.98 x[1] = 0.647 y2[1] (analytic) = 1.6027954345859845656157597964862 y2[1] (numeric) = 1.6027954345859845656157597964867 absolute error = 5e-31 relative error = 3.1195496893161176988911464174439e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6027954345859845656157597964862 y1[1] (numeric) = 1.6027954345859845656157597964867 absolute error = 5e-31 relative error = 3.1195496893161176988911464174439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2132.4MB, alloc=4.6MB, time=121.20 x[1] = 0.648 y2[1] (analytic) = 1.6035930288279782866286771176028 y2[1] (numeric) = 1.6035930288279782866286771176033 absolute error = 5e-31 relative error = 3.1179980893620879999601055217987e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6035930288279782866286771176028 y1[1] (numeric) = 1.6035930288279782866286771176033 absolute error = 5e-31 relative error = 3.1179980893620879999601055217987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2136.2MB, alloc=4.6MB, time=121.42 x[1] = 0.649 y2[1] (analytic) = 1.6043900194769934790807001609604 y2[1] (numeric) = 1.604390019476993479080700160961 absolute error = 6e-31 relative error = 3.7397390454696968928522563609165e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6043900194769934790807001609604 y1[1] (numeric) = 1.604390019476993479080700160961 absolute error = 6e-31 relative error = 3.7397390454696968928522563609165e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2140.0MB, alloc=4.6MB, time=121.63 x[1] = 0.65 y2[1] (analytic) = 1.6051864057360395603725216786059 y2[1] (numeric) = 1.6051864057360395603725216786065 absolute error = 6e-31 relative error = 3.7378836367909369200350013496276e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6051864057360395603725216786059 y1[1] (numeric) = 1.6051864057360395603725216786065 absolute error = 6e-31 relative error = 3.7378836367909369200350013496276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2143.8MB, alloc=4.6MB, time=121.85 x[1] = 0.651 y2[1] (analytic) = 1.6059821868087303378235797537072 y2[1] (numeric) = 1.6059821868087303378235797537078 absolute error = 6e-31 relative error = 3.7360314761166086821094338877542e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6059821868087303378235797537072 y1[1] (numeric) = 1.6059821868087303378235797537078 absolute error = 6e-31 relative error = 3.7360314761166086821094338877542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2147.7MB, alloc=4.6MB, time=122.07 x[1] = 0.652 y2[1] (analytic) = 1.6067773618992848050581841156014 y2[1] (numeric) = 1.606777361899284805058184115602 absolute error = 6e-31 relative error = 3.7341825583774243667215116446473e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6067773618992848050581841156014 y1[1] (numeric) = 1.606777361899284805058184115602 absolute error = 6e-31 relative error = 3.7341825583774243667215116446473e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2151.5MB, alloc=4.6MB, time=122.28 x[1] = 0.653 y2[1] (analytic) = 1.6075719302125279377864562004034 y2[1] (numeric) = 1.607571930212527937786456200404 absolute error = 6e-31 relative error = 3.7323368785163934406870190880149e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6075719302125279377864562004034 y1[1] (numeric) = 1.607571930212527937786456200404 absolute error = 6e-31 relative error = 3.7323368785163934406870190880149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2155.3MB, alloc=4.6MB, time=122.50 x[1] = 0.654 y2[1] (analytic) = 1.6083658909538914889792871763013 y2[1] (numeric) = 1.6083658909538914889792871763019 absolute error = 6e-31 relative error = 3.7304944314887908447985165164837e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6083658909538914889792871763013 y1[1] (numeric) = 1.6083658909538914889792871763019 absolute error = 6e-31 relative error = 3.7304944314887908447985165164837e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2159.1MB, alloc=4.6MB, time=122.71 x[1] = 0.655 y2[1] (analytic) = 1.609159243329414783436518758647 y2[1] (numeric) = 1.6091592433294147834365187586476 absolute error = 6e-31 relative error = 3.7286552122621252909419015862349e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.609159243329414783436518758647 y1[1] (numeric) = 1.6091592433294147834365187586476 absolute error = 6e-31 relative error = 3.7286552122621252909419015862349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2162.9MB, alloc=4.6MB, time=122.93 x[1] = 0.656 y2[1] (analytic) = 1.6099519865457455117475522467268 y2[1] (numeric) = 1.6099519865457455117475522467274 absolute error = 6e-31 relative error = 3.7268192158161076611596707359827e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6099519865457455117475522467268 y1[1] (numeric) = 1.6099519865457455117475522467274 absolute error = 6e-31 relative error = 3.7268192158161076611596707359827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2166.7MB, alloc=4.6MB, time=123.15 x[1] = 0.657 y2[1] (analytic) = 1.6107441198101405236435918216702 y2[1] (numeric) = 1.6107441198101405236435918216708 absolute error = 6e-31 relative error = 3.7249864371426195082994438045680e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6107441198101405236435918216702 y1[1] (numeric) = 1.6107441198101405236435918216708 absolute error = 6e-31 relative error = 3.7249864371426195082994438045680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2170.5MB, alloc=4.6MB, time=123.37 x[1] = 0.658 y2[1] (analytic) = 1.6115356423304666207407287533185 y2[1] (numeric) = 1.6115356423304666207407287533191 absolute error = 6e-31 relative error = 3.7231568712456816578877844299486e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6115356423304666207407287533185 y1[1] (numeric) = 1.6115356423304666207407287533191 absolute error = 6e-31 relative error = 3.7231568712456816578877844299486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2174.4MB, alloc=4.6MB, time=123.58 x[1] = 0.659 y2[1] (analytic) = 1.6123265533152013486730737730358 y2[1] (numeric) = 1.6123265533152013486730737730364 absolute error = 6e-31 relative error = 3.7213305131414229108708115499615e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6123265533152013486730737730358 y1[1] (numeric) = 1.6123265533152013486730737730364 absolute error = 6e-31 relative error = 3.7213305131414229108708115499615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2178.2MB, alloc=4.6MB, time=123.80 x[1] = 0.66 y2[1] (analytic) = 1.6131168519734337886151454793963 y2[1] (numeric) = 1.6131168519734337886151454793969 absolute error = 6e-31 relative error = 3.7195073578580488468645535263458e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6131168519734337886151454793963 y1[1] (numeric) = 1.6131168519734337886151454793969 absolute error = 6e-31 relative error = 3.7195073578580488468645535263458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2182.0MB, alloc=4.6MB, time=124.01 x[1] = 0.661 y2[1] (analytic) = 1.6139065375148653481927232544241 y2[1] (numeric) = 1.6139065375148653481927232544247 absolute error = 6e-31 relative error = 3.7176874004358107275594461163952e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6139065375148653481927232544241 y1[1] (numeric) = 1.6139065375148653481927232544247 absolute error = 6e-31 relative error = 3.7176874004358107275594461163952e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2185.8MB, alloc=4.6MB, time=124.23 x[1] = 0.662 y2[1] (analytic) = 1.6146956091498105517813737796007 y2[1] (numeric) = 1.6146956091498105517813737796012 absolute error = 5e-31 relative error = 3.0965588632724787499373489610975e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6146956091498105517813737796007 y1[1] (numeric) = 1.6146956091498105517813737796012 absolute error = 5e-31 relative error = 3.0965588632724787499373489610975e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2189.6MB, alloc=4.6MB, time=124.45 x[1] = 0.663 y2[1] (analytic) = 1.6154840660891978301918608531767 y2[1] (numeric) = 1.6154840660891978301918608531772 absolute error = 5e-31 relative error = 3.0950475494964915823838753323669e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6154840660891978301918608531767 y1[1] (numeric) = 1.6154840660891978301918608531772 absolute error = 5e-31 relative error = 3.0950475494964915823838753323669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2193.4MB, alloc=4.6MB, time=124.67 x[1] = 0.664 y2[1] (analytic) = 1.6162719075445703097416488234469 y2[1] (numeric) = 1.6162719075445703097416488234474 absolute error = 5e-31 relative error = 3.0935388882653830407877555262771e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6162719075445703097416488234469 y1[1] (numeric) = 1.6162719075445703097416488234474 absolute error = 5e-31 relative error = 3.0935388882653830407877555262771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2197.2MB, alloc=4.6MB, time=124.88 x[1] = 0.665 y2[1] (analytic) = 1.6170591327280866007117105665481 y2[1] (numeric) = 1.6170591327280866007117105665486 absolute error = 5e-31 relative error = 3.0920328754859239707744947193823e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6170591327280866007117105665481 y1[1] (numeric) = 1.6170591327280866007117105665486 absolute error = 5e-31 relative error = 3.0920328754859239707744947193823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2201.1MB, alloc=4.6MB, time=125.10 x[1] = 0.666 y2[1] (analytic) = 1.6178457408525215851878515520396 y2[1] (numeric) = 1.6178457408525215851878515520401 absolute error = 5e-31 relative error = 3.0905295070747949588560688880003e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6178457408525215851878515520396 y1[1] (numeric) = 1.6178457408525215851878515520401 absolute error = 5e-31 relative error = 3.0905295070747949588560688880003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2204.9MB, alloc=4.6MB, time=125.32 x[1] = 0.667 y2[1] (analytic) = 1.6186317311312672042857621550066 y2[1] (numeric) = 1.6186317311312672042857621550071 absolute error = 5e-31 relative error = 3.0890287789585609132160576409124e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6186317311312672042857621550066 y1[1] (numeric) = 1.6186317311312672042857621550071 absolute error = 5e-31 relative error = 3.0890287789585609132160576409124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2208.7MB, alloc=4.6MB, time=125.54 x[1] = 0.668 y2[1] (analytic) = 1.6194171027783332447590109897005 y2[1] (numeric) = 1.619417102778333244759010989701 absolute error = 5e-31 relative error = 3.0875306870736457259156145015905e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6194171027783332447590109897005 y1[1] (numeric) = 1.619417102778333244759010989701 absolute error = 5e-31 relative error = 3.0875306870736457259156145015905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2212.5MB, alloc=4.6MB, time=125.75 x[1] = 0.669 y2[1] (analytic) = 1.6202018550083481249891926567879 y2[1] (numeric) = 1.6202018550083481249891926567884 absolute error = 5e-31 relative error = 3.0860352273663070162334152432549e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6202018550083481249891926567879 y1[1] (numeric) = 1.6202018550083481249891926567884 absolute error = 5e-31 relative error = 3.0860352273663070162334152432549e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2216.3MB, alloc=4.6MB, time=125.97 x[1] = 0.67 y2[1] (analytic) = 1.6209859870365596803574439141266 y2[1] (numeric) = 1.6209859870365596803574439141271 absolute error = 5e-31 relative error = 3.0845423957926109548538854147938e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6209859870365596803574439141266 y1[1] (numeric) = 1.6209859870365596803574439141271 absolute error = 5e-31 relative error = 3.0845423957926109548538854147938e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2220.1MB, alloc=4.6MB, time=126.19 x[1] = 0.671 y2[1] (analytic) = 1.6217694980788359479965428996171 y2[1] (numeric) = 1.6217694980788359479965428996176 absolute error = 5e-31 relative error = 3.0830521883184071686191635760513e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6217694980788359479965428996171 y1[1] (numeric) = 1.6217694980788359479965428996176 absolute error = 5e-31 relative error = 3.0830521883184071686191635760513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2224.0MB, alloc=4.6MB, time=126.41 x[1] = 0.672 y2[1] (analytic) = 1.6225523873516659509228066540965 y2[1] (numeric) = 1.622552387351665950922806654097 absolute error = 5e-31 relative error = 3.0815646009193037255614070125277e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6225523873516659509228066540965 y1[1] (numeric) = 1.622552387351665950922806654097 absolute error = 5e-31 relative error = 3.0815646009193037255614070125277e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2227.8MB, alloc=4.6MB, time=126.62 x[1] = 0.673 y2[1] (analytic) = 1.6233346540721604815470028124424 y2[1] (numeric) = 1.6233346540721604815470028124428 absolute error = 4e-31 relative error = 2.4640637036645137599465534778816e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6233346540721604815470028124424 y1[1] (numeric) = 1.6233346540721604815470028124428 absolute error = 4e-31 relative error = 2.4640637036645137599465534778816e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2231.6MB, alloc=4.6MB, time=126.84 x[1] = 0.674 y2[1] (analytic) = 1.6241162974580528845634919520396 y2[1] (numeric) = 1.62411629745805288456349195204 absolute error = 4e-31 relative error = 2.4628778162379782535639196300231e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6241162974580528845634919520396 y1[1] (numeric) = 1.62411629745805288456349195204 absolute error = 4e-31 relative error = 2.4628778162379782535639196300231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2235.4MB, alloc=4.6MB, time=127.05 x[1] = 0.675 y2[1] (analytic) = 1.6248973167276998392168177095343 y2[1] (numeric) = 1.6248973167276998392168177095348 absolute error = 5e-31 relative error = 3.0771175190745296769991167568606e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6248973167276998392168177095343 y1[1] (numeric) = 1.6248973167276998392168177095348 absolute error = 5e-31 relative error = 3.0771175190745296769991167568606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2239.2MB, alloc=4.6MB, time=127.27 x[1] = 0.676 y2[1] (analytic) = 1.6256777111000821409449623993491 y2[1] (numeric) = 1.6256777111000821409449623993496 absolute error = 5e-31 relative error = 3.0756403719262060589332056544082e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6256777111000821409449623993491 y1[1] (numeric) = 1.6256777111000821409449623993496 absolute error = 5e-31 relative error = 3.0756403719262060589332056544082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2243.0MB, alloc=4.6MB, time=127.49 x[1] = 0.677 y2[1] (analytic) = 1.6264574797948054823984864907691 y2[1] (numeric) = 1.6264574797948054823984864907695 absolute error = 4e-31 relative error = 2.4593326599012238418738611676252e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6264574797948054823984864907691 y1[1] (numeric) = 1.6264574797948054823984864907695 absolute error = 4e-31 relative error = 2.4593326599012238418738611676252e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2246.8MB, alloc=4.6MB, time=127.70 x[1] = 0.678 y2[1] (analytic) = 1.6272366220321012338347709245244 y2[1] (numeric) = 1.6272366220321012338347709245248 absolute error = 4e-31 relative error = 2.4581550991673110146850515255782e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6272366220321012338347709245244 y1[1] (numeric) = 1.6272366220321012338347709245248 absolute error = 4e-31 relative error = 2.4581550991673110146850515255782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2250.7MB, alloc=4.6MB, time=127.92 x[1] = 0.679 y2[1] (analytic) = 1.6280151370328272228865818746926 y2[1] (numeric) = 1.628015137032827222886581874693 absolute error = 4e-31 relative error = 2.4569796121738051030439424020264e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6280151370328272228865818746926 y1[1] (numeric) = 1.628015137032827222886581874693 absolute error = 4e-31 relative error = 2.4569796121738051030439424020264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2254.5MB, alloc=4.6MB, time=128.14 x[1] = 0.68 y2[1] (analytic) = 1.6287930240184685137041781874202 y2[1] (numeric) = 1.6287930240184685137041781874206 absolute error = 4e-31 relative error = 2.4558061957629337867416766127148e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6287930240184685137041781874202 y1[1] (numeric) = 1.6287930240184685137041781874206 absolute error = 4e-31 relative error = 2.4558061957629337867416766127148e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2258.3MB, alloc=4.6MB, time=128.36 x[1] = 0.681 y2[1] (analytic) = 1.6295702822111381854701823544214 y2[1] (numeric) = 1.6295702822111381854701823544218 absolute error = 4e-31 relative error = 2.4546348467845542438887150369654e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6295702822111381854701823544214 y1[1] (numeric) = 1.6295702822111381854701823544218 absolute error = 4e-31 relative error = 2.4546348467845542438887150369654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2262.1MB, alloc=4.6MB, time=128.58 x[1] = 0.682 y2[1] (analytic) = 1.6303469108335781102864365064475 y2[1] (numeric) = 1.6303469108335781102864365064478 absolute error = 3e-31 relative error = 1.8400991715721003266852520993396e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6303469108335781102864365064475 y1[1] (numeric) = 1.6303469108335781102864365064478 absolute error = 3e-31 relative error = 1.8400991715721003266852520993396e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2265.9MB, alloc=4.6MB, time=128.79 x[1] = 0.683 y2[1] (analytic) = 1.6311229091091597304320655399362 y2[1] (numeric) = 1.6311229091091597304320655399366 absolute error = 4e-31 relative error = 2.4522983385627304523521287567317e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6311229091091597304320655399362 y1[1] (numeric) = 1.6311229091091597304320655399366 absolute error = 4e-31 relative error = 2.4522983385627304523521287567317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2269.7MB, alloc=4.6MB, time=129.00 x[1] = 0.684 y2[1] (analytic) = 1.631898276261884834991970118843 y2[1] (numeric) = 1.6318982762618848349919701188434 absolute error = 4e-31 relative error = 2.4511331730569739222094933121079e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.631898276261884834991970118843 y1[1] (numeric) = 1.6318982762618848349919701188434 absolute error = 4e-31 relative error = 2.4511331730569739222094933121079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2273.5MB, alloc=4.6MB, time=129.22 x[1] = 0.685 y2[1] (analytic) = 1.6326730115163863358549729232243 y2[1] (numeric) = 1.6326730115163863358549729232247 absolute error = 4e-31 relative error = 2.4499700624590461466827015532788e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6326730115163863358549729232243 y1[1] (numeric) = 1.6326730115163863358549729232247 absolute error = 4e-31 relative error = 2.4499700624590461466827015532788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2277.4MB, alloc=4.6MB, time=129.44 x[1] = 0.686 y2[1] (analytic) = 1.6334471140979290430808421464934 y2[1] (numeric) = 1.6334471140979290430808421464938 absolute error = 4e-31 relative error = 2.4488090036566622980265968894859e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6334471140979290430808421464934 y1[1] (numeric) = 1.6334471140979290430808421464938 absolute error = 4e-31 relative error = 2.4488090036566622980265968894859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2281.2MB, alloc=4.6MB, time=129.66 x[1] = 0.687 y2[1] (analytic) = 1.6342205832324104396354168743884 y2[1] (numeric) = 1.6342205832324104396354168743888 absolute error = 4e-31 relative error = 2.4476499935450516773515446934582e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6342205832324104396354168743884 y1[1] (numeric) = 1.6342205832324104396354168743888 absolute error = 4e-31 relative error = 2.4476499935450516773515446934582e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2285.0MB, alloc=4.6MB, time=129.87 x[1] = 0.688 y2[1] (analytic) = 1.6349934181463614554930596105924 y2[1] (numeric) = 1.6349934181463614554930596105927 absolute error = 3e-31 relative error = 1.8348697717702040251048245125608e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6349934181463614554930596105924 y1[1] (numeric) = 1.6349934181463614554930596105927 absolute error = 3e-31 relative error = 1.8348697717702040251048245125608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2288.8MB, alloc=4.6MB, time=130.09 x[1] = 0.689 y2[1] (analytic) = 1.6357656180669472411056618466169 y2[1] (numeric) = 1.6357656180669472411056618466172 absolute error = 3e-31 relative error = 1.8340035802593929567015311677873e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6357656180669472411056618466169 y1[1] (numeric) = 1.6357656180669472411056618466172 absolute error = 3e-31 relative error = 1.8340035802593929567015311677873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2292.6MB, alloc=4.6MB, time=130.31 x[1] = 0.69 y2[1] (analytic) = 1.6365371822219679402374292070087 y2[1] (numeric) = 1.6365371822219679402374292070091 absolute error = 4e-31 relative error = 2.4441852244194652463306224128027e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6365371822219679402374292070087 y1[1] (numeric) = 1.6365371822219679402374292070091 absolute error = 4e-31 relative error = 2.4441852244194652463306224128027e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2296.4MB, alloc=4.6MB, time=130.53 x[1] = 0.691 y2[1] (analytic) = 1.6373081098398594621646733351585 y2[1] (numeric) = 1.6373081098398594621646733351588 absolute error = 3e-31 relative error = 1.8322757836296441660287725840898e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6373081098398594621646733351585 y1[1] (numeric) = 1.6373081098398594621646733351588 absolute error = 3e-31 relative error = 1.8322757836296441660287725840898e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2300.2MB, alloc=4.6MB, time=130.74 TOP MAIN SOLVE Loop x[1] = 0.692 y2[1] (analytic) = 1.6380784001496942532398383199832 y2[1] (numeric) = 1.6380784001496942532398383199835 absolute error = 3e-31 relative error = 1.8314141739039156018812029763281e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6380784001496942532398383199832 y1[1] (numeric) = 1.6380784001496942532398383199835 absolute error = 3e-31 relative error = 1.8314141739039156018812029763281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2304.1MB, alloc=4.6MB, time=130.96 TOP MAIN SOLVE Loop x[1] = 0.693 y2[1] (analytic) = 1.638848052381182067818990099522 y2[1] (numeric) = 1.6388480523811820678189900995223 absolute error = 3e-31 relative error = 1.8305540868423509026588692592361e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.638848052381182067818990099522 y1[1] (numeric) = 1.6388480523811820678189900995223 absolute error = 3e-31 relative error = 1.8305540868423509026588692592361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2307.9MB, alloc=4.6MB, time=131.18 TOP MAIN SOLVE Loop x[1] = 0.694 y2[1] (analytic) = 1.639617065764670738551997914018 y2[1] (numeric) = 1.6396170657646707385519979140184 absolute error = 4e-31 relative error = 2.4395940268738992623886192622705e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.639617065764670738551997914018 y1[1] (numeric) = 1.6396170657646707385519979140184 absolute error = 4e-31 relative error = 2.4395940268738992623886192622705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2311.7MB, alloc=4.6MB, time=131.40 TOP MAIN SOLVE Loop x[1] = 0.695 y2[1] (analytic) = 1.6403854395311469460346375183712 y2[1] (numeric) = 1.6403854395311469460346375183716 absolute error = 4e-31 relative error = 2.4384512954121778457139889453128e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6403854395311469460346375183712 y1[1] (numeric) = 1.6403854395311469460346375183716 absolute error = 4e-31 relative error = 2.4384512954121778457139889453128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2315.5MB, alloc=4.6MB, time=131.61 TOP MAIN SOLVE Loop x[1] = 0.696 y2[1] (analytic) = 1.641153172912236987821846501921 y2[1] (numeric) = 1.6411531729122369878218465019214 absolute error = 4e-31 relative error = 2.4373105850333116460155184777610e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.641153172912236987821846501921 y1[1] (numeric) = 1.6411531729122369878218465019214 absolute error = 4e-31 relative error = 2.4373105850333116460155184777610e-29 % Correct digits = 30 h = 0.001 memory used=2319.3MB, alloc=4.6MB, time=131.83 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2323.1MB, alloc=4.6MB, time=132.05 x[1] = 0.697 y2[1] (analytic) = 1.6419202651402075468013627023692 y2[1] (numeric) = 1.6419202651402075468013627023696 absolute error = 4e-31 relative error = 2.4361718927066353708334125867941e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6419202651402075468013627023692 y1[1] (numeric) = 1.6419202651402075468013627023696 absolute error = 4e-31 relative error = 2.4361718927066353708334125867941e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2327.0MB, alloc=4.6MB, time=132.27 x[1] = 0.698 y2[1] (analytic) = 1.6426867154479664589269773402679 y2[1] (numeric) = 1.6426867154479664589269773402682 absolute error = 3e-31 relative error = 1.8262764115565939929654361829112e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6426867154479664589269773402679 y1[1] (numeric) = 1.6426867154479664589269773402682 absolute error = 3e-31 relative error = 1.8262764115565939929654361829112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2330.8MB, alloc=4.6MB, time=132.48 x[1] = 0.699 y2[1] (analytic) = 1.643452523069063480310635140883 y2[1] (numeric) = 1.6434525230690634803106351408834 absolute error = 4e-31 relative error = 2.4339005501237143783790867770752e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.643452523069063480310635140883 y1[1] (numeric) = 1.6434525230690634803106351408834 absolute error = 4e-31 relative error = 2.4339005501237143783790867770752e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2334.6MB, alloc=4.6MB, time=132.70 x[1] = 0.7 y2[1] (analytic) = 1.6442176872376910536726143513987 y2[1] (numeric) = 1.6442176872376910536726143513991 absolute error = 4e-31 relative error = 2.4327678938426070075304109808511e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6442176872376910536726143513987 y1[1] (numeric) = 1.6442176872376910536726143513991 absolute error = 4e-31 relative error = 2.4327678938426070075304109808511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2338.4MB, alloc=4.6MB, time=132.92 x[1] = 0.701 y2[1] (analytic) = 1.6449822071886850741490202033442 y2[1] (numeric) = 1.6449822071886850741490202033445 absolute error = 3e-31 relative error = 1.8237279326729457808633707003789e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6449822071886850741490202033442 y1[1] (numeric) = 1.6449822071886850741490202033445 absolute error = 3e-31 relative error = 1.8237279326729457808633707003789e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2342.2MB, alloc=4.6MB, time=133.14 x[1] = 0.702 y2[1] (analytic) = 1.6457460821575256544558260128154 y2[1] (numeric) = 1.6457460821575256544558260128157 absolute error = 3e-31 relative error = 1.8228814472200271092799611877134e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6457460821575256544558260128154 y1[1] (numeric) = 1.6457460821575256544558260128157 absolute error = 3e-31 relative error = 1.8228814472200271092799611877134e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2346.0MB, alloc=4.6MB, time=133.35 x[1] = 0.703 y2[1] (analytic) = 1.6465093113803378894086967545133 y2[1] (numeric) = 1.6465093113803378894086967545137 absolute error = 4e-31 relative error = 2.4293819490438423624153309810118e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6465093113803378894086967545133 y1[1] (numeric) = 1.6465093113803378894086967545137 absolute error = 4e-31 relative error = 2.4293819490438423624153309810118e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2349.8MB, alloc=4.6MB, time=133.57 x[1] = 0.704 y2[1] (analytic) = 1.6472718940938926197978305898392 y2[1] (numeric) = 1.6472718940938926197978305898395 absolute error = 3e-31 relative error = 1.8211929741265915270341227707641e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6472718940938926197978305898392 y1[1] (numeric) = 1.6472718940938926197978305898395 absolute error = 3e-31 relative error = 1.8211929741265915270341227707641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2353.7MB, alloc=4.6MB, time=133.78 x[1] = 0.705 y2[1] (analytic) = 1.6480338295356071956170544742679 y2[1] (numeric) = 1.6480338295356071956170544742682 absolute error = 3e-31 relative error = 1.8203509820216238507083745680700e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6480338295356071956170544742679 y1[1] (numeric) = 1.6480338295356071956170544742682 absolute error = 3e-31 relative error = 1.8203509820216238507083745680700e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2357.5MB, alloc=4.6MB, time=134.00 x[1] = 0.706 y2[1] (analytic) = 1.6487951169435462386464106149696 y2[1] (numeric) = 1.64879511694354623864641061497 absolute error = 4e-31 relative error = 2.4260139776584246241039788534266e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6487951169435462386464106149696 y1[1] (numeric) = 1.64879511694354623864641061497 absolute error = 4e-31 relative error = 2.4260139776584246241039788534266e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2361.3MB, alloc=4.6MB, time=134.22 x[1] = 0.707 y2[1] (analytic) = 1.6495557555564224043874711961547 y2[1] (numeric) = 1.649555755556422404387471196155 absolute error = 3e-31 relative error = 1.8186714755743739287975729960642e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6495557555564224043874711961547 y1[1] (numeric) = 1.649555755556422404387471196155 absolute error = 3e-31 relative error = 1.8186714755743739287975729960642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2365.1MB, alloc=4.6MB, time=134.43 x[1] = 0.708 y2[1] (analytic) = 1.6503157446135971433506194368912 y2[1] (numeric) = 1.6503157446135971433506194368915 absolute error = 3e-31 relative error = 1.8178339567998342243421440562680e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6503157446135971433506194368912 y1[1] (numeric) = 1.6503157446135971433506194368915 absolute error = 3e-31 relative error = 1.8178339567998342243421440562680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2368.9MB, alloc=4.6MB, time=134.65 x[1] = 0.709 y2[1] (analytic) = 1.6510750833550814616935356941786 y2[1] (numeric) = 1.6510750833550814616935356941789 absolute error = 3e-31 relative error = 1.8169979247120754477518302713274e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6510750833550814616935356941786 y1[1] (numeric) = 1.6510750833550814616935356941789 absolute error = 3e-31 relative error = 1.8169979247120754477518302713274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2372.7MB, alloc=4.6MB, time=134.86 x[1] = 0.71 y2[1] (analytic) = 1.6518337710215366812101279728528 y2[1] (numeric) = 1.6518337710215366812101279728532 absolute error = 4e-31 relative error = 2.4215511694777233274212709492361e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6518337710215366812101279728528 y1[1] (numeric) = 1.6518337710215366812101279728532 absolute error = 4e-31 relative error = 2.4215511694777233274212709492361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2376.5MB, alloc=4.6MB, time=135.08 x[1] = 0.711 y2[1] (analytic) = 1.6525918068542751986691468534576 y2[1] (numeric) = 1.652591806854275198669146853458 absolute error = 4e-31 relative error = 2.4204404157213144157346994170661e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6525918068542751986691468534576 y1[1] (numeric) = 1.652591806854275198669146853458 absolute error = 4e-31 relative error = 2.4204404157213144157346994170661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2380.4MB, alloc=4.6MB, time=135.30 x[1] = 0.712 y2[1] (analytic) = 1.6533491900952612445017254995287 y2[1] (numeric) = 1.6533491900952612445017254995291 absolute error = 4e-31 relative error = 2.4193316354239308984372027919499e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6533491900952612445017254995287 y1[1] (numeric) = 1.6533491900952612445017254995291 absolute error = 4e-31 relative error = 2.4193316354239308984372027919499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2384.2MB, alloc=4.6MB, time=135.52 x[1] = 0.713 y2[1] (analytic) = 1.6541059199871116408370860568158 y2[1] (numeric) = 1.6541059199871116408370860568161 absolute error = 3e-31 relative error = 1.8136686192522515200038878015381e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6541059199871116408370860568158 y1[1] (numeric) = 1.6541059199871116408370860568161 absolute error = 3e-31 relative error = 1.8136686192522515200038878015381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2388.0MB, alloc=4.6MB, time=135.73 x[1] = 0.714 y2[1] (analytic) = 1.6548619957730965588856544087971 y2[1] (numeric) = 1.6548619957730965588856544087974 absolute error = 3e-31 relative error = 1.8128399876622338189161295232283e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6548619957730965588856544087971 y1[1] (numeric) = 1.6548619957730965588856544087974 absolute error = 3e-31 relative error = 1.8128399876622338189161295232283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2391.8MB, alloc=4.6MB, time=135.95 x[1] = 0.715 y2[1] (analytic) = 1.655617416697140275668825905437 y2[1] (numeric) = 1.6556174166971402756688259054373 absolute error = 3e-31 relative error = 1.8120128296214859800932584515009e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.655617416697140275668825905437 y1[1] (numeric) = 1.6556174166971402756688259054373 absolute error = 3e-31 relative error = 1.8120128296214859800932584515009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2395.6MB, alloc=4.6MB, time=136.16 x[1] = 0.716 y2[1] (analytic) = 1.6563721820038219300946253354824 y2[1] (numeric) = 1.6563721820038219300946253354827 absolute error = 3e-31 relative error = 1.8111871429588388060427636028592e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6563721820038219300946253354824 y1[1] (numeric) = 1.6563721820038219300946253354827 absolute error = 3e-31 relative error = 1.8111871429588388060427636028592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2399.4MB, alloc=4.6MB, time=136.38 x[1] = 0.717 y2[1] (analytic) = 1.6571262909383762783785050667013 y2[1] (numeric) = 1.6571262909383762783785050667017 absolute error = 4e-31 relative error = 2.4138172340111333139628939548823e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6571262909383762783785050667013 y1[1] (numeric) = 1.6571262909383762783785050667017 absolute error = 4e-31 relative error = 2.4138172340111333139628939548823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2403.2MB, alloc=4.6MB, time=136.59 x[1] = 0.718 y2[1] (analytic) = 1.6578797427466944488085259333295 y2[1] (numeric) = 1.6578797427466944488085259333299 absolute error = 4e-31 relative error = 2.4127202334790548367368730116761e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6578797427466944488085259333295 y1[1] (numeric) = 1.6578797427466944488085259333299 absolute error = 4e-31 relative error = 2.4127202334790548367368730116761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2407.1MB, alloc=4.6MB, time=136.81 x[1] = 0.719 y2[1] (analytic) = 1.6586325366753246958541661056053 y2[1] (numeric) = 1.6586325366753246958541661056057 absolute error = 4e-31 relative error = 2.4116251861415131161123779707386e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6586325366753246958541661056053 y1[1] (numeric) = 1.6586325366753246958541661056057 absolute error = 4e-31 relative error = 2.4116251861415131161123779707386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2410.9MB, alloc=4.6MB, time=137.03 x[1] = 0.72 y2[1] (analytic) = 1.6593846719714731536180038326482 y2[1] (numeric) = 1.6593846719714731536180038326486 absolute error = 4e-31 relative error = 2.4105320891313891072301790131003e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6593846719714731536180038326482 y1[1] (numeric) = 1.6593846719714731536180038326486 absolute error = 4e-31 relative error = 2.4105320891313891072301790131003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2414.7MB, alloc=4.6MB, time=137.25 x[1] = 0.721 y2[1] (analytic) = 1.6601361478830045886295206070606 y2[1] (numeric) = 1.660136147883004588629520607061 absolute error = 4e-31 relative error = 2.4094409395884641227028006063973e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6601361478830045886295206070606 y1[1] (numeric) = 1.660136147883004588629520607061 absolute error = 4e-31 relative error = 2.4094409395884641227028006063973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2418.5MB, alloc=4.6MB, time=137.46 x[1] = 0.722 y2[1] (analytic) = 1.6608869636584431519802719575123 y2[1] (numeric) = 1.6608869636584431519802719575127 absolute error = 4e-31 relative error = 2.4083517346594027619889910980686e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6608869636584431519802719575123 y1[1] (numeric) = 1.6608869636584431519802719575127 absolute error = 4e-31 relative error = 2.4083517346594027619889910980686e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2422.3MB, alloc=4.6MB, time=137.68 x[1] = 0.723 y2[1] (analytic) = 1.6616371185469731307996737341996 y2[1] (numeric) = 1.6616371185469731307996737342 absolute error = 4e-31 relative error = 2.4072644714977358945601391173969e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6616371185469731307996737341996 y1[1] (numeric) = 1.6616371185469731307996737342 absolute error = 4e-31 relative error = 2.4072644714977358945601391173969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2426.1MB, alloc=4.6MB, time=137.89 x[1] = 0.724 y2[1] (analytic) = 1.6623866117984396990706524114553 y2[1] (numeric) = 1.6623866117984396990706524114557 absolute error = 4e-31 relative error = 2.4061791472638436966745863703882e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6623866117984396990706524114553 y1[1] (numeric) = 1.6623866117984396990706524114557 absolute error = 4e-31 relative error = 2.4061791472638436966745863703882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2430.0MB, alloc=4.6MB, time=138.11 x[1] = 0.725 y2[1] (analytic) = 1.6631354426633496677844085919225 y2[1] (numeric) = 1.6631354426633496677844085919229 absolute error = 4e-31 relative error = 2.4050957591249387415765155081854e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6631354426633496677844085919225 y1[1] (numeric) = 1.6631354426633496677844085919229 absolute error = 4e-31 relative error = 2.4050957591249387415765155081854e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2433.8MB, alloc=4.6MB, time=138.32 x[1] = 0.726 y2[1] (analytic) = 1.6638836103928722344335435575901 y2[1] (numeric) = 1.6638836103928722344335435575904 absolute error = 3e-31 relative error = 1.8030107281912868572026132690873e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6638836103928722344335435575901 y1[1] (numeric) = 1.6638836103928722344335435575904 absolute error = 3e-31 relative error = 1.8030107281912868572026132690873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2437.6MB, alloc=4.6MB, time=138.54 x[1] = 0.727 y2[1] (analytic) = 1.6646311142388397318427993746266 y2[1] (numeric) = 1.6646311142388397318427993746269 absolute error = 3e-31 relative error = 1.8022010848762513135155504612937e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6646311142388397318427993746266 y1[1] (numeric) = 1.6646311142388397318427993746269 absolute error = 3e-31 relative error = 1.8022010848762513135155504612937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2441.4MB, alloc=4.6MB, time=138.75 x[1] = 0.728 y2[1] (analytic) = 1.6653779534537483763366637213347 y2[1] (numeric) = 1.6653779534537483763366637213351 absolute error = 4e-31 relative error = 2.4018571830524054037344507513130e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6653779534537483763366637213347 y1[1] (numeric) = 1.6653779534537483763366637213351 absolute error = 4e-31 relative error = 2.4018571830524054037344507513130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2445.2MB, alloc=4.6MB, time=138.97 x[1] = 0.729 y2[1] (analytic) = 1.666124127290759015243091271684 y2[1] (numeric) = 1.6661241272907590152430912716843 absolute error = 3e-31 relative error = 1.8005861333262256690276601329590e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.666124127290759015243091271684 y1[1] (numeric) = 1.6661241272907590152430912716843 absolute error = 3e-31 relative error = 1.8005861333262256690276601329590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2449.0MB, alloc=4.6MB, time=139.19 x[1] = 0.73 y2[1] (analytic) = 1.6668696350036978737325941307615 y2[1] (numeric) = 1.6668696350036978737325941307619 absolute error = 4e-31 relative error = 2.3997077611838109845369017811265e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6668696350036978737325941307615 y1[1] (numeric) = 1.6668696350036978737325941307619 absolute error = 4e-31 relative error = 2.3997077611838109845369017811265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2452.8MB, alloc=4.6MB, time=139.40 x[1] = 0.731 y2[1] (analytic) = 1.6676144758470573009919544831147 y2[1] (numeric) = 1.6676144758470573009919544831151 absolute error = 4e-31 relative error = 2.3986359305067904994303870762819e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6676144758470573009919544831147 y1[1] (numeric) = 1.6676144758470573009919544831151 absolute error = 4e-31 relative error = 2.3986359305067904994303870762819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2456.7MB, alloc=4.6MB, time=139.62 x[1] = 0.732 y2[1] (analytic) = 1.6683586490759965157318132803332 y2[1] (numeric) = 1.6683586490759965157318132803336 absolute error = 4e-31 relative error = 2.3975660162851430972653681655343e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6683586490759965157318132803332 y1[1] (numeric) = 1.6683586490759965157318132803336 absolute error = 4e-31 relative error = 2.3975660162851430972653681655343e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2460.5MB, alloc=4.6MB, time=139.84 x[1] = 0.733 y2[1] (analytic) = 1.6691021539463423510273894603448 y2[1] (numeric) = 1.6691021539463423510273894603453 absolute error = 5e-31 relative error = 2.9956225196751726566971871059108e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6691021539463423510273894603448 y1[1] (numeric) = 1.6691021539463423510273894603453 absolute error = 5e-31 relative error = 2.9956225196751726566971871059108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2464.3MB, alloc=4.6MB, time=140.05 x[1] = 0.734 y2[1] (analytic) = 1.6698449897145899984915848577685 y2[1] (numeric) = 1.669844989714589998491584857769 absolute error = 5e-31 relative error = 2.9942899076246593925174972523111e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6698449897145899984915848577685 y1[1] (numeric) = 1.669844989714589998491584857769 absolute error = 5e-31 relative error = 2.9942899076246593925174972523111e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2468.1MB, alloc=4.6MB, time=140.27 x[1] = 0.735 y2[1] (analytic) = 1.6705871556379037517797306322801 y2[1] (numeric) = 1.6705871556379037517797306322806 absolute error = 5e-31 relative error = 2.9929596807481617388140894667643e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6705871556379037517797306322801 y1[1] (numeric) = 1.6705871556379037517797306322806 absolute error = 5e-31 relative error = 2.9929596807481617388140894667643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2471.9MB, alloc=4.6MB, time=140.48 x[1] = 0.736 y2[1] (analytic) = 1.671328650974117749425231710308 y2[1] (numeric) = 1.6713286509741177494252317103085 absolute error = 5e-31 relative error = 2.9916318355972646847160298082034e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.671328650974117749425231710308 y1[1] (numeric) = 1.6713286509741177494252317103085 absolute error = 5e-31 relative error = 2.9916318355972646847160298082034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2475.7MB, alloc=4.6MB, time=140.70 x[1] = 0.737 y2[1] (analytic) = 1.672069474981736717005366404475 y2[1] (numeric) = 1.6720694749817367170053664044755 absolute error = 5e-31 relative error = 2.9903063687318451952798222373115e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.672069474981736717005366404475 y1[1] (numeric) = 1.6720694749817367170053664044755 absolute error = 5e-31 relative error = 2.9903063687318451952798222373115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2479.5MB, alloc=4.6MB, time=140.91 x[1] = 0.738 y2[1] (analytic) = 1.6728096269199367086364990450493 y2[1] (numeric) = 1.6728096269199367086364990450498 absolute error = 5e-31 relative error = 2.9889832767200519219421429824070e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6728096269199367086364990450493 y1[1] (numeric) = 1.6728096269199367086364990450498 absolute error = 5e-31 relative error = 2.9889832767200519219421429824070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2483.4MB, alloc=4.6MB, time=141.12 x[1] = 0.739 y2[1] (analytic) = 1.6735491060485658477979641282533 y2[1] (numeric) = 1.6735491060485658477979641282538 absolute error = 5e-31 relative error = 2.9876625561382849766386906329943e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6735491060485658477979641282533 y1[1] (numeric) = 1.6735491060485658477979641282538 absolute error = 5e-31 relative error = 2.9876625561382849766386906329943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2487.2MB, alloc=4.6MB, time=141.34 x[1] = 0.74 y2[1] (analytic) = 1.6742879116281450674838811576082 y2[1] (numeric) = 1.6742879116281450674838811576087 absolute error = 5e-31 relative error = 2.9863442035711757693732081583654e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6742879116281450674838811576082 y1[1] (numeric) = 1.6742879116281450674838811576087 absolute error = 5e-31 relative error = 2.9863442035711757693732081583654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2491.0MB, alloc=4.6MB, time=141.56 x[1] = 0.741 y2[1] (analytic) = 1.6750260429198688496821600265609 y2[1] (numeric) = 1.6750260429198688496821600265614 absolute error = 5e-31 relative error = 2.9850282156115669090215835518724e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6750260429198688496821600265609 y1[1] (numeric) = 1.6750260429198688496821600265614 absolute error = 5e-31 relative error = 2.9850282156115669090215835518724e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2494.8MB, alloc=4.6MB, time=141.77 x[1] = 0.742 y2[1] (analytic) = 1.6757634991856059641799574634498 y2[1] (numeric) = 1.6757634991856059641799574634503 absolute error = 5e-31 relative error = 2.9837145888604921671567826533325e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6757634991856059641799574634498 y1[1] (numeric) = 1.6757634991856059641799574634503 absolute error = 5e-31 relative error = 2.9837145888604921671567826533325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2498.6MB, alloc=4.6MB, time=141.99 x[1] = 0.743 y2[1] (analytic) = 1.676500279687900206694845733414 y2[1] (numeric) = 1.6765002796879002066948457334145 absolute error = 5e-31 relative error = 2.9824033199271565046812109198966e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.676500279687900206694845733414 y1[1] (numeric) = 1.6765002796879002066948457334145 absolute error = 5e-31 relative error = 2.9824033199271565046812109198966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2502.4MB, alloc=4.6MB, time=142.20 x[1] = 0.744 y2[1] (analytic) = 1.6772363836899711363309554661397 y2[1] (numeric) = 1.6772363836899711363309554661402 absolute error = 5e-31 relative error = 2.9810944054289161610539405169544e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6772363836899711363309554661397 y1[1] (numeric) = 1.6772363836899711363309554661402 absolute error = 5e-31 relative error = 2.9810944054289161610539405169544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2506.2MB, alloc=4.6MB, time=142.42 x[1] = 0.745 y2[1] (analytic) = 1.6779718104557148123593551533613 y2[1] (numeric) = 1.6779718104557148123593551533618 absolute error = 5e-31 relative error = 2.9797878419912588059010751024968e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6779718104557148123593551533613 y1[1] (numeric) = 1.6779718104557148123593551533618 absolute error = 5e-31 relative error = 2.9797878419912588059010751024968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2510.1MB, alloc=4.6MB, time=142.64 x[1] = 0.746 y2[1] (analytic) = 1.6787065592497045303219305358001 y2[1] (numeric) = 1.6787065592497045303219305358005 absolute error = 4e-31 relative error = 2.3827869009982270022386856783806e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6787065592497045303219305358001 y1[1] (numeric) = 1.6787065592497045303219305358005 absolute error = 4e-31 relative error = 2.3827869009982270022386856783806e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2513.9MB, alloc=4.6MB, time=142.86 x[1] = 0.747 y2[1] (analytic) = 1.6794406293371915574580277757215 y2[1] (numeric) = 1.679440629337191557458027775722 absolute error = 5e-31 relative error = 2.9771817548401822350159510931560e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6794406293371915574580277757215 y1[1] (numeric) = 1.679440629337191557458027775722 absolute error = 5e-31 relative error = 2.9771817548401822350159510931560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2517.7MB, alloc=4.6MB, time=143.07 x[1] = 0.748 y2[1] (analytic) = 1.6801740199841058674531249885306 y2[1] (numeric) = 1.680174019984105867453124988531 absolute error = 4e-31 relative error = 2.3807057795345741944129298709773e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6801740199841058674531249885306 y1[1] (numeric) = 1.680174019984105867453124988531 absolute error = 4e-31 relative error = 2.3807057795345741944129298709773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2521.5MB, alloc=4.6MB, time=143.28 x[1] = 0.749 y2[1] (analytic) = 1.6809067304570568745087973847929 y2[1] (numeric) = 1.6809067304570568745087973847933 absolute error = 4e-31 relative error = 2.3796680253117651387965368443052e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6809067304570568745087973847929 y1[1] (numeric) = 1.6809067304570568745087973847933 absolute error = 4e-31 relative error = 2.3796680253117651387965368443052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2525.3MB, alloc=4.6MB, time=143.50 x[1] = 0.75 y2[1] (analytic) = 1.6816387600233341667332419527799 y2[1] (numeric) = 1.6816387600233341667332419527803 absolute error = 4e-31 relative error = 2.3786321385363980318117452389586e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6816387600233341667332419527799 y1[1] (numeric) = 1.6816387600233341667332419527803 absolute error = 4e-31 relative error = 2.3786321385363980318117452389586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2529.1MB, alloc=4.6MB, time=143.72 x[1] = 0.751 y2[1] (analytic) = 1.6823701079509082388516282910726 y2[1] (numeric) = 1.682370107950908238851628291073 absolute error = 4e-31 relative error = 2.3775981165475631946049599052771e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6823701079509082388516282910726 y1[1] (numeric) = 1.682370107950908238851628291073 absolute error = 4e-31 relative error = 2.3775981165475631946049599052771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2532.9MB, alloc=4.6MB, time=143.94 x[1] = 0.752 y2[1] (analytic) = 1.6831007735084312242355428809353 y2[1] (numeric) = 1.6831007735084312242355428809357 absolute error = 4e-31 relative error = 2.3765659566907463247675721104628e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6831007735084312242355428809353 y1[1] (numeric) = 1.6831007735084312242355428809357 absolute error = 4e-31 relative error = 2.3765659566907463247675721104628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2536.8MB, alloc=4.6MB, time=144.15 x[1] = 0.753 y2[1] (analytic) = 1.6838307559652376262507947690758 y2[1] (numeric) = 1.6838307559652376262507947690761 absolute error = 3e-31 relative error = 1.7816517422383597581434202772045e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6838307559652376262507947690758 y1[1] (numeric) = 1.6838307559652376262507947690761 absolute error = 3e-31 relative error = 1.7816517422383597581434202772045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2540.6MB, alloc=4.6MB, time=144.37 x[1] = 0.754 y2[1] (analytic) = 1.6845600545913450489228513130465 y2[1] (numeric) = 1.6845600545913450489228513130469 absolute error = 4e-31 relative error = 2.3745072127869932953347902056068e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6845600545913450489228513130465 y1[1] (numeric) = 1.6845600545913450489228513130469 absolute error = 4e-31 relative error = 2.3745072127869932953347902056068e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2544.4MB, alloc=4.6MB, time=144.59 TOP MAIN SOLVE Loop x[1] = 0.755 y2[1] (analytic) = 1.6852886686574549269191733239135 y2[1] (numeric) = 1.6852886686574549269191733239139 absolute error = 4e-31 relative error = 2.3734806234628662857401633631872e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6852886686574549269191733239135 y1[1] (numeric) = 1.6852886686574549269191733239139 absolute error = 4e-31 relative error = 2.3734806234628662857401633631872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2548.2MB, alloc=4.6MB, time=144.81 TOP MAIN SOLVE Loop x[1] = 0.756 y2[1] (analytic) = 1.6860165974349532548477196239165 y2[1] (numeric) = 1.6860165974349532548477196239169 absolute error = 4e-31 relative error = 2.3724558857163448139680716861772e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6860165974349532548477196239165 y1[1] (numeric) = 1.6860165974349532548477196239169 absolute error = 4e-31 relative error = 2.3724558857163448139680716861772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2552.0MB, alloc=4.6MB, time=145.03 TOP MAIN SOLVE Loop x[1] = 0.757 y2[1] (analytic) = 1.686743840195911315870891720679 y2[1] (numeric) = 1.6867438401959113158708917206794 absolute error = 4e-31 relative error = 2.3714329969246601434589128318383e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.686743840195911315870891720679 y1[1] (numeric) = 1.6867438401959113158708917206794 absolute error = 4e-31 relative error = 2.3714329969246601434589128318383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2555.8MB, alloc=4.6MB, time=145.25 TOP MAIN SOLVE Loop x[1] = 0.758 y2[1] (analytic) = 1.6874703962130864096341899840818 y2[1] (numeric) = 1.6874703962130864096341899840822 absolute error = 4e-31 relative error = 2.3704119544713467241577242540745e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6874703962130864096341899840818 y1[1] (numeric) = 1.6874703962130864096341899840822 absolute error = 4e-31 relative error = 2.3704119544713467241577242540745e-29 % Correct digits = 30 h = 0.001 memory used=2559.7MB, alloc=4.6MB, time=145.46 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=145.68 x[1] = 0.759 y2[1] (analytic) = 1.6881962647599225795088533972068 y2[1] (numeric) = 1.6881962647599225795088533972071 absolute error = 3e-31 relative error = 1.7770445668096702463072163388449e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6881962647599225795088533972068 y1[1] (numeric) = 1.6881962647599225795088533972071 absolute error = 3e-31 relative error = 1.7770445668096702463072163388449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2567.3MB, alloc=4.6MB, time=145.90 x[1] = 0.76 y2[1] (analytic) = 1.6889214451105513391477556387697 y2[1] (numeric) = 1.6889214451105513391477556387701 absolute error = 4e-31 relative error = 2.3683753981453962342993563621979e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6889214451105513391477556387697 y1[1] (numeric) = 1.6889214451105513391477556387701 absolute error = 4e-31 relative error = 2.3683753981453962342993563621979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2571.1MB, alloc=4.6MB, time=146.12 x[1] = 0.761 y2[1] (analytic) = 1.6896459365397923983538309412086 y2[1] (numeric) = 1.689645936539792398353830941209 absolute error = 4e-31 relative error = 2.3673598790712074562759269941097e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6896459365397923983538309412086 y1[1] (numeric) = 1.689645936539792398353830941209 absolute error = 4e-31 relative error = 2.3673598790712074562759269941097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2574.9MB, alloc=4.6MB, time=146.33 x[1] = 0.762 y2[1] (analytic) = 1.6903697383231543882603038560603 y2[1] (numeric) = 1.6903697383231543882603038560606 absolute error = 3e-31 relative error = 1.7747596469491922671778574671364e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6903697383231543882603038560603 y1[1] (numeric) = 1.6903697383231543882603038560606 absolute error = 3e-31 relative error = 1.7747596469491922671778574671364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2578.7MB, alloc=4.6MB, time=146.55 x[1] = 0.763 y2[1] (analytic) = 1.6910928497368355858219977464571 y2[1] (numeric) = 1.6910928497368355858219977464574 absolute error = 3e-31 relative error = 1.7740007596075247261872375887312e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6910928497368355858219977464571 y1[1] (numeric) = 1.6910928497368355858219977464574 absolute error = 3e-31 relative error = 1.7740007596075247261872375887312e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2582.5MB, alloc=4.6MB, time=146.77 x[1] = 0.764 y2[1] (analytic) = 1.6918152700577246376169975154955 y2[1] (numeric) = 1.6918152700577246376169975154959 absolute error = 4e-31 relative error = 2.3643243271255733700805435974893e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6918152700577246376169975154955 y1[1] (numeric) = 1.6918152700577246376169975154959 absolute error = 4e-31 relative error = 2.3643243271255733700805435974893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2586.4MB, alloc=4.6MB, time=146.98 x[1] = 0.765 y2[1] (analytic) = 1.6925369985634012829579427688738 y2[1] (numeric) = 1.6925369985634012829579427688741 absolute error = 3e-31 relative error = 1.7724871022295835760379911957654e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6925369985634012829579427688738 y1[1] (numeric) = 1.6925369985634012829579427688741 absolute error = 3e-31 relative error = 1.7724871022295835760379911957654e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2590.2MB, alloc=4.6MB, time=147.20 x[1] = 0.766 y2[1] (analytic) = 1.6932580345321370763122283005656 y2[1] (numeric) = 1.6932580345321370763122283005659 absolute error = 3e-31 relative error = 1.7717323283387979712901425018537e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6932580345321370763122283005656 y1[1] (numeric) = 1.6932580345321370763122283005659 absolute error = 3e-31 relative error = 1.7717323283387979712901425018537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2594.0MB, alloc=4.6MB, time=147.42 x[1] = 0.767 y2[1] (analytic) = 1.6939783772428961090303894813906 y2[1] (numeric) = 1.6939783772428961090303894813909 absolute error = 3e-31 relative error = 1.7709789217515118911885161364001e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6939783772428961090303894813906 y1[1] (numeric) = 1.6939783772428961090303894813909 absolute error = 3e-31 relative error = 1.7709789217515118911885161364001e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2597.8MB, alloc=4.6MB, time=147.63 x[1] = 0.768 y2[1] (analytic) = 1.6946980259753357303819508221551 y2[1] (numeric) = 1.6946980259753357303819508221554 absolute error = 3e-31 relative error = 1.7702268805520290097199023822523e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6946980259753357303819508221551 y1[1] (numeric) = 1.6946980259753357303819508221554 absolute error = 3e-31 relative error = 1.7702268805520290097199023822523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2601.6MB, alloc=4.6MB, time=147.85 x[1] = 0.769 y2[1] (analytic) = 1.6954169800098072678980166755753 y2[1] (numeric) = 1.6954169800098072678980166755756 absolute error = 3e-31 relative error = 1.7694762028292569494259094801039e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6954169800098072678980166755753 y1[1] (numeric) = 1.6954169800098072678980166755756 absolute error = 3e-31 relative error = 1.7694762028292569494259094801039e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2605.4MB, alloc=4.6MB, time=148.07 x[1] = 0.77 y2[1] (analytic) = 1.6961352386273567470198837344522 y2[1] (numeric) = 1.6961352386273567470198837344525 absolute error = 3e-31 relative error = 1.7687268866766962682535231266201e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6961352386273567470198837344522 y1[1] (numeric) = 1.6961352386273567470198837344525 absolute error = 3e-31 relative error = 1.7687268866766962682535231266201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2609.2MB, alloc=4.6MB, time=148.28 x[1] = 0.771 y2[1] (analytic) = 1.696852801109725610052955677546 y2[1] (numeric) = 1.6968528011097256100529556775463 absolute error = 3e-31 relative error = 1.7679789301924294807018229601358e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.696852801109725610052955677546 y1[1] (numeric) = 1.6968528011097256100529556775463 absolute error = 3e-31 relative error = 1.7679789301924294807018229601358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2613.1MB, alloc=4.6MB, time=148.50 x[1] = 0.772 y2[1] (analytic) = 1.6975696667393514344252410092942 y2[1] (numeric) = 1.6975696667393514344252410092945 absolute error = 3e-31 relative error = 1.7672323314791101131505827322569e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6975696667393514344252410092942 y1[1] (numeric) = 1.6975696667393514344252410092945 absolute error = 3e-31 relative error = 1.7672323314791101131505827322569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2616.9MB, alloc=4.6MB, time=148.71 x[1] = 0.773 y2[1] (analytic) = 1.6982858347993686502497158349369 y2[1] (numeric) = 1.6982858347993686502497158349371 absolute error = 2e-31 relative error = 1.1776580590959678621712839913351e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6982858347993686502497158349369 y1[1] (numeric) = 1.6982858347993686502497158349371 absolute error = 2e-31 relative error = 1.1776580590959678621712839913351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2620.7MB, alloc=4.6MB, time=148.93 x[1] = 0.774 y2[1] (analytic) = 1.6990013045736092571898340087447 y2[1] (numeric) = 1.699001304573609257189834008745 absolute error = 3e-31 relative error = 1.7657431997987173733066523107937e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6990013045736092571898340087447 y1[1] (numeric) = 1.699001304573609257189834008745 absolute error = 3e-31 relative error = 1.7657431997987173733066523107937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2624.5MB, alloc=4.6MB, time=149.14 x[1] = 0.775 y2[1] (analytic) = 1.6997160753466035406274677899009 y2[1] (numeric) = 1.6997160753466035406274677899011 absolute error = 2e-31 relative error = 1.1766671087064720582715270569780e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.6997160753466035406274677899009 y1[1] (numeric) = 1.6997160753466035406274677899011 absolute error = 2e-31 relative error = 1.1766671087064720582715270569780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2628.3MB, alloc=4.6MB, time=149.37 x[1] = 0.776 y2[1] (analytic) = 1.7004301464035807871325628381541 y2[1] (numeric) = 1.7004301464035807871325628381544 absolute error = 3e-31 relative error = 1.7642594765477527424103751814367e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7004301464035807871325628381541 y1[1] (numeric) = 1.7004301464035807871325628381544 absolute error = 3e-31 relative error = 1.7642594765477527424103751814367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2632.1MB, alloc=4.6MB, time=149.58 x[1] = 0.777 y2[1] (analytic) = 1.7011435170304699992337920796493 y2[1] (numeric) = 1.7011435170304699992337920796496 absolute error = 3e-31 relative error = 1.7635196383881969424508786778573e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7011435170304699992337920796493 y1[1] (numeric) = 1.7011435170304699992337920796496 absolute error = 3e-31 relative error = 1.7635196383881969424508786778573e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2635.9MB, alloc=4.6MB, time=149.80 x[1] = 0.778 y2[1] (analytic) = 1.7018561865139006094894936723398 y2[1] (numeric) = 1.7018561865139006094894936723401 absolute error = 3e-31 relative error = 1.7627811467108923469921704999534e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7018561865139006094894936723398 y1[1] (numeric) = 1.7018561865139006094894936723401 absolute error = 3e-31 relative error = 1.7627811467108923469921704999534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2639.8MB, alloc=4.6MB, time=150.02 x[1] = 0.779 y2[1] (analytic) = 1.7025681541412031938581790001042 y2[1] (numeric) = 1.7025681541412031938581790001045 absolute error = 3e-31 relative error = 1.7620439996501859622653048292156e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7025681541412031938581790001042 y1[1] (numeric) = 1.7025681541412031938581790001045 absolute error = 3e-31 relative error = 1.7620439996501859622653048292156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2643.6MB, alloc=4.6MB, time=150.23 x[1] = 0.78 y2[1] (analytic) = 1.7032794192004101843678973251179 y2[1] (numeric) = 1.7032794192004101843678973251182 absolute error = 3e-31 relative error = 1.7613081953449094659918732785919e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7032794192004101843678973251179 y1[1] (numeric) = 1.7032794192004101843678973251182 absolute error = 3e-31 relative error = 1.7613081953449094659918732785919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2647.4MB, alloc=4.6MB, time=150.45 x[1] = 0.781 y2[1] (analytic) = 1.7039899809802565810837444291757 y2[1] (numeric) = 1.703989980980256581083744429176 absolute error = 3e-31 relative error = 1.7605737319383685652800881407048e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7039899809802565810837444291757 y1[1] (numeric) = 1.703989980980256581083744429176 absolute error = 3e-31 relative error = 1.7605737319383685652800881407048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2651.2MB, alloc=4.6MB, time=150.67 x[1] = 0.782 y2[1] (analytic) = 1.7046998387701806633728032765141 y2[1] (numeric) = 1.7046998387701806633728032765144 absolute error = 3e-31 relative error = 1.7598406075783323875841905210812e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7046998387701806633728032765141 y1[1] (numeric) = 1.7046998387701806633728032765144 absolute error = 3e-31 relative error = 1.7598406075783323875841905210812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2655.0MB, alloc=4.6MB, time=150.89 x[1] = 0.783 y2[1] (analytic) = 1.705408991860324700465805433254 y2[1] (numeric) = 1.7054089918603247004658054332543 absolute error = 3e-31 relative error = 1.7591088204170229046177043688732e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.705408991860324700465805433254 y1[1] (numeric) = 1.7054089918603247004658054332543 absolute error = 3e-31 relative error = 1.7591088204170229046177043688732e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2658.8MB, alloc=4.6MB, time=151.10 x[1] = 0.784 y2[1] (analytic) = 1.70611743954153566131480268186 y2[1] (numeric) = 1.7061174395415356613148026818603 absolute error = 3e-31 relative error = 1.7583783686111043891114823230754e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.70611743954153566131480268186 y1[1] (numeric) = 1.7061174395415356613148026818603 absolute error = 3e-31 relative error = 1.7583783686111043891114823230754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2662.7MB, alloc=4.6MB, time=151.32 x[1] = 0.785 y2[1] (analytic) = 1.7068251811053659237461389730047 y2[1] (numeric) = 1.706825181105365923746138973005 absolute error = 3e-31 relative error = 1.7576492503216729043079124112102e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7068251811053659237461389730047 y1[1] (numeric) = 1.706825181105365923746138973005 absolute error = 3e-31 relative error = 1.7576492503216729043079124112102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2666.5MB, alloc=4.6MB, time=151.53 x[1] = 0.786 y2[1] (analytic) = 1.707532215844073982908013561925 y2[1] (numeric) = 1.7075322158440739829080135619253 absolute error = 3e-31 relative error = 1.7569214637142458260830759782541e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.707532215844073982908013561925 y1[1] (numeric) = 1.7075322158440739829080135619253 absolute error = 3e-31 relative error = 1.7569214637142458260830759782541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2670.3MB, alloc=4.6MB, time=151.75 x[1] = 0.787 y2[1] (analytic) = 1.7082385430506251590119268817658 y2[1] (numeric) = 1.7082385430506251590119268817661 absolute error = 3e-31 relative error = 1.7561950069587513975890667945489e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7082385430506251590119268817658 y1[1] (numeric) = 1.7082385430506251590119268817661 absolute error = 3e-31 relative error = 1.7561950069587513975890667945489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2674.1MB, alloc=4.6MB, time=151.96 x[1] = 0.788 y2[1] (analytic) = 1.7089441620186923043673014125252 y2[1] (numeric) = 1.7089441620186923043673014125255 absolute error = 3e-31 relative error = 1.7554698782295183163090991008862e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7089441620186923043673014125252 y1[1] (numeric) = 1.7089441620186923043673014125255 absolute error = 3e-31 relative error = 1.7554698782295183163090991008862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2677.9MB, alloc=4.6MB, time=152.18 x[1] = 0.789 y2[1] (analytic) = 1.7096490720426565097085705110381 y2[1] (numeric) = 1.7096490720426565097085705110384 absolute error = 3e-31 relative error = 1.7547460757052653534184484051239e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7096490720426565097085705110381 y1[1] (numeric) = 1.7096490720426565097085705110384 absolute error = 3e-31 relative error = 1.7547460757052653534184484051239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2681.7MB, alloc=4.6MB, time=152.40 x[1] = 0.79 y2[1] (analytic) = 1.7103532724176078098140288749692 y2[1] (numeric) = 1.7103532724176078098140288749695 absolute error = 3e-31 relative error = 1.7540235975690910053446831558070e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7103532724176078098140288749692 y1[1] (numeric) = 1.7103532724176078098140288749695 absolute error = 3e-31 relative error = 1.7540235975690910053446831558070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2685.5MB, alloc=4.6MB, time=152.61 x[1] = 0.791 y2[1] (analytic) = 1.711056762439345888415739022023 y2[1] (numeric) = 1.7110567624393458884157390220233 absolute error = 3e-31 relative error = 1.7533024420084631774210579924931e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.711056762439345888415739022023 y1[1] (numeric) = 1.7110567624393458884157390220233 absolute error = 3e-31 relative error = 1.7533024420084631774210579924931e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2689.4MB, alloc=4.6MB, time=152.83 x[1] = 0.792 y2[1] (analytic) = 1.7117595414043807823997888745235 y2[1] (numeric) = 1.7117595414043807823997888745239 absolute error = 4e-31 relative error = 2.3367768096202785327031334906151e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7117595414043807823997888745235 y1[1] (numeric) = 1.7117595414043807823997888745239 absolute error = 4e-31 relative error = 2.3367768096202785327031334906151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2693.2MB, alloc=4.6MB, time=153.05 x[1] = 0.793 y2[1] (analytic) = 1.7124616086099335852961962491652 y2[1] (numeric) = 1.7124616086099335852961962491656 absolute error = 4e-31 relative error = 2.3358187885140054314837726163950e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7124616086099335852961962491652 y1[1] (numeric) = 1.7124616086099335852961962491656 absolute error = 4e-31 relative error = 2.3358187885140054314837726163950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2697.0MB, alloc=4.6MB, time=153.26 x[1] = 0.794 y2[1] (analytic) = 1.7131629633539371500577567620875 y2[1] (numeric) = 1.7131629633539371500577567620879 absolute error = 4e-31 relative error = 2.3348625236264843373286142947290e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7131629633539371500577567620875 y1[1] (numeric) = 1.7131629633539371500577567620879 absolute error = 4e-31 relative error = 2.3348625236264843373286142947290e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2700.8MB, alloc=4.6MB, time=153.48 x[1] = 0.795 y2[1] (analytic) = 1.713863604935036791127132370486 y2[1] (numeric) = 1.7138636049350367911271323704864 absolute error = 4e-31 relative error = 2.3339080125641726044531214096711e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.713863604935036791127132370486 y1[1] (numeric) = 1.7138636049350367911271323704864 absolute error = 4e-31 relative error = 2.3339080125641726044531214096711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2704.6MB, alloc=4.6MB, time=153.70 x[1] = 0.796 y2[1] (analytic) = 1.7145635326525909857914784837286 y2[1] (numeric) = 1.7145635326525909857914784837291 absolute error = 5e-31 relative error = 2.9161940661741066586479687801875e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7145635326525909857914784837286 y1[1] (numeric) = 1.7145635326525909857914784837291 absolute error = 5e-31 relative error = 2.9161940661741066586479687801875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2708.4MB, alloc=4.6MB, time=153.91 x[1] = 0.797 y2[1] (analytic) = 1.7152627458066720748239082894086 y2[1] (numeric) = 1.7152627458066720748239082894091 absolute error = 5e-31 relative error = 2.9150053029622272966330675655087e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7152627458066720748239082894086 y1[1] (numeric) = 1.7152627458066720748239082894091 absolute error = 5e-31 relative error = 2.9150053029622272966330675655087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2712.2MB, alloc=4.6MB, time=154.13 x[1] = 0.798 y2[1] (analytic) = 1.7159612436980669624110936529281 y2[1] (numeric) = 1.7159612436980669624110936529286 absolute error = 5e-31 relative error = 2.9138187230991903090142092524391e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7159612436980669624110936529281 y1[1] (numeric) = 1.7159612436980669624110936529286 absolute error = 5e-31 relative error = 2.9138187230991903090142092524391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2716.1MB, alloc=4.6MB, time=154.34 x[1] = 0.799 y2[1] (analytic) = 1.7166590256282778153663026630705 y2[1] (numeric) = 1.716659025628277815366302663071 absolute error = 5e-31 relative error = 2.9126343236217550367604394528760e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7166590256282778153663026630705 y1[1] (numeric) = 1.716659025628277815366302663071 absolute error = 5e-31 relative error = 2.9126343236217550367604394528760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2719.9MB, alloc=4.6MB, time=154.56 x[1] = 0.8 y2[1] (analytic) = 1.7173560908995227616271746105814 y2[1] (numeric) = 1.7173560908995227616271746105819 absolute error = 5e-31 relative error = 2.9114521015738108019560954444235e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7173560908995227616271746105814 y1[1] (numeric) = 1.7173560908995227616271746105819 absolute error = 5e-31 relative error = 2.9114521015738108019560954444235e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2723.7MB, alloc=4.6MB, time=154.78 x[1] = 0.801 y2[1] (analytic) = 1.718052438814736588037533902042 y2[1] (numeric) = 1.7180524388147365880375339020425 absolute error = 5e-31 relative error = 2.9102720540063602391965363645248e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.718052438814736588037533902042 y1[1] (numeric) = 1.7180524388147365880375339020425 absolute error = 5e-31 relative error = 2.9102720540063602391965363645248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2727.5MB, alloc=4.6MB, time=154.99 x[1] = 0.802 y2[1] (analytic) = 1.7187480686775714374125451272789 y2[1] (numeric) = 1.7187480686775714374125451272794 absolute error = 5e-31 relative error = 2.9090941779775026785713408746587e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7187480686775714374125451272789 y1[1] (numeric) = 1.7187480686775714374125451272794 absolute error = 5e-31 relative error = 2.9090941779775026785713408746587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2731.3MB, alloc=4.6MB, time=155.21 x[1] = 0.803 y2[1] (analytic) = 1.7194429797923975048865122152131 y2[1] (numeric) = 1.7194429797923975048865122152136 absolute error = 5e-31 relative error = 2.9079184705524175800661206825640e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7194429797923975048865122152131 y1[1] (numeric) = 1.7194429797923975048865122152136 absolute error = 5e-31 relative error = 2.9079184705524175800661206825640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2735.1MB, alloc=4.6MB, time=155.42 x[1] = 0.804 y2[1] (analytic) = 1.7201371714643037335426253304078 y2[1] (numeric) = 1.7201371714643037335426253304083 absolute error = 5e-31 relative error = 2.9067449288033480192147495104490e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7201371714643037335426253304078 y1[1] (numeric) = 1.7201371714643037335426253304083 absolute error = 5e-31 relative error = 2.9067449288033480192147495104490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2738.9MB, alloc=4.6MB, time=155.64 x[1] = 0.805 y2[1] (analytic) = 1.7208306429990985093239598806256 y2[1] (numeric) = 1.7208306429990985093239598806261 absolute error = 5e-31 relative error = 2.9055735498095842238344555859622e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7208306429990985093239598806256 y1[1] (numeric) = 1.7208306429990985093239598806261 absolute error = 5e-31 relative error = 2.9055735498095842238344555859622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2742.8MB, alloc=4.6MB, time=155.86 x[1] = 0.806 y2[1] (analytic) = 1.7215233937033103552250327244533 y2[1] (numeric) = 1.7215233937033103552250327244538 absolute error = 5e-31 relative error = 2.9044043306574471616768715229915e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7215233937033103552250327244533 y1[1] (numeric) = 1.7215233937033103552250327244538 absolute error = 5e-31 relative error = 2.9044043306574471616768715229915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2746.6MB, alloc=4.6MB, time=156.08 x[1] = 0.807 y2[1] (analytic) = 1.7222154228841886247632213874979 y2[1] (numeric) = 1.7222154228841886247632213874984 absolute error = 5e-31 relative error = 2.9032372684402721788287785636618e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7222154228841886247632213874979 y1[1] (numeric) = 1.7222154228841886247632213874984 absolute error = 5e-31 relative error = 2.9032372684402721788287785636618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2750.4MB, alloc=4.6MB, time=156.29 x[1] = 0.808 y2[1] (analytic) = 1.7229067298497041947293528157898 y2[1] (numeric) = 1.7229067298497041947293528157903 absolute error = 5e-31 relative error = 2.9020723602583926886969225837501e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7229067298497041947293528157898 y1[1] (numeric) = 1.7229067298497041947293528157903 absolute error = 5e-31 relative error = 2.9020723602583926886969225837501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2754.2MB, alloc=4.6MB, time=156.51 x[1] = 0.809 y2[1] (analytic) = 1.7235973139085501572167689158648 y2[1] (numeric) = 1.7235973139085501572167689158653 absolute error = 5e-31 relative error = 2.9009096032191239114119170335308e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7235973139085501572167689158648 y1[1] (numeric) = 1.7235973139085501572167689158653 absolute error = 5e-31 relative error = 2.9009096032191239114119170335308e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2758.0MB, alloc=4.6MB, time=156.73 x[1] = 0.81 y2[1] (analytic) = 1.7242871743701425109281768525145 y2[1] (numeric) = 1.724287174370142510928176852515 absolute error = 5e-31 relative error = 2.8997489944367466634868831072129e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7242871743701425109281768525145 y1[1] (numeric) = 1.724287174370142510928176852515 absolute error = 5e-31 relative error = 2.8997489944367466634868831072129e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2761.8MB, alloc=4.6MB, time=156.94 x[1] = 0.811 y2[1] (analytic) = 1.7249763105446208517595927974149 y2[1] (numeric) = 1.7249763105446208517595927974154 absolute error = 5e-31 relative error = 2.8985905310324911975671099189204e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7249763105446208517595927974149 y1[1] (numeric) = 1.7249763105446208517595927974154 absolute error = 5e-31 relative error = 2.8985905310324911975671099189204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2765.6MB, alloc=4.6MB, time=157.16 x[1] = 0.812 y2[1] (analytic) = 1.7256647217428490626606885447446 y2[1] (numeric) = 1.7256647217428490626606885447451 absolute error = 5e-31 relative error = 2.8974342101345210921076473238753e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7256647217428490626606885447446 y1[1] (numeric) = 1.7256647217428490626606885447451 absolute error = 5e-31 relative error = 2.8974342101345210921076473238753e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2769.5MB, alloc=4.6MB, time=157.37 x[1] = 0.813 y2[1] (analytic) = 1.7263524072764160027708511335054 y2[1] (numeric) = 1.7263524072764160027708511335059 absolute error = 5e-31 relative error = 2.8962800288779171908163712722288e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7263524072764160027708511335054 y1[1] (numeric) = 1.7263524072764160027708511335059 absolute error = 5e-31 relative error = 2.8962800288779171908163712722288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2773.3MB, alloc=4.6MB, time=157.59 x[1] = 0.814 y2[1] (analytic) = 1.7270393664576361958302663405423 y2[1] (numeric) = 1.7270393664576361958302663405428 absolute error = 5e-31 relative error = 2.8951279844046615917006862320116e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7270393664576361958302663405423 y1[1] (numeric) = 1.7270393664576361958302663405428 absolute error = 5e-31 relative error = 2.8951279844046615917006862320116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2777.1MB, alloc=4.6MB, time=157.81 x[1] = 0.815 y2[1] (analytic) = 1.7277255985995505178653376332361 y2[1] (numeric) = 1.7277255985995505178653376332366 absolute error = 5e-31 relative error = 2.8939780738636216855566512789827e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7277255985995505178653376332361 y1[1] (numeric) = 1.7277255985995505178653376332366 absolute error = 5e-31 relative error = 2.8939780738636216855566512789827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2780.9MB, alloc=4.6MB, time=158.03 x[1] = 0.816 y2[1] (analytic) = 1.7284111030159268841477528965088 y2[1] (numeric) = 1.7284111030159268841477528965093 absolute error = 5e-31 relative error = 2.8928302944105342437399359367656e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7284111030159268841477528965088 y1[1] (numeric) = 1.7284111030159268841477528965093 absolute error = 5e-31 relative error = 2.8928302944105342437399359367656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2784.7MB, alloc=4.6MB, time=158.24 x[1] = 0.817 y2[1] (analytic) = 1.72909587902126093542651197513 y2[1] (numeric) = 1.7290958790212609354265119751305 absolute error = 5e-31 relative error = 2.8916846432079895550586287725237e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.72909587902126093542651197513 y1[1] (numeric) = 1.7290958790212609354265119751305 absolute error = 5e-31 relative error = 2.8916846432079895550586287725237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2788.5MB, alloc=4.6MB, time=158.46 x[1] = 0.818 y2[1] (analytic) = 1.7297799259307767234322287993561 y2[1] (numeric) = 1.7297799259307767234322287993566 absolute error = 5e-31 relative error = 2.8905411174254156116285361234153e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7297799259307767234322287993561 y1[1] (numeric) = 1.7297799259307767234322287993566 absolute error = 5e-31 relative error = 2.8905411174254156116285361234153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2792.4MB, alloc=4.6MB, time=158.67 TOP MAIN SOLVE Loop x[1] = 0.819 y2[1] (analytic) = 1.7304632430604273956530225896556 y2[1] (numeric) = 1.7304632430604273956530225896561 absolute error = 5e-31 relative error = 2.8893997142390623435322201590359e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7304632430604273956530225896556 y1[1] (numeric) = 1.7304632430604273956530225896561 absolute error = 5e-31 relative error = 2.8893997142390623435322201590359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2796.2MB, alloc=4.6MB, time=158.89 TOP MAIN SOLVE Loop x[1] = 0.82 y2[1] (analytic) = 1.7311458297268958793813133646877 y2[1] (numeric) = 1.7311458297268958793813133646882 absolute error = 5e-31 relative error = 2.8882604308319859021236347867406e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7311458297268958793813133646877 y1[1] (numeric) = 1.7311458297268958793813133646882 absolute error = 5e-31 relative error = 2.8882604308319859021236347867406e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2800.0MB, alloc=4.6MB, time=159.11 TOP MAIN SOLVE Loop x[1] = 0.821 y2[1] (analytic) = 1.7318276852475955650308377057945 y2[1] (numeric) = 1.731827685247595565030837705795 absolute error = 5e-31 relative error = 2.8871232643940329918208246918871e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7318276852475955650308377057945 y1[1] (numeric) = 1.731827685247595565030837705795 absolute error = 5e-31 relative error = 2.8871232643940329918208246918871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2803.8MB, alloc=4.6MB, time=159.33 TOP MAIN SOLVE Loop x[1] = 0.822 y2[1] (analytic) = 1.7325088089406709887232014610491 y2[1] (numeric) = 1.7325088089406709887232014610496 absolute error = 5e-31 relative error = 2.8859882121218252502297570852673e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7325088089406709887232014610491 y1[1] (numeric) = 1.7325088089406709887232014610496 absolute error = 5e-31 relative error = 2.8859882121218252502297570852673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2807.6MB, alloc=4.6MB, time=159.54 TOP MAIN SOLVE Loop x[1] = 0.823 y2[1] (analytic) = 1.7331892001249985141432868023628 y2[1] (numeric) = 1.7331892001249985141432868023633 memory used=2811.4MB, alloc=4.6MB, time=159.76 absolute error = 5e-31 relative error = 2.8848552712187436764429575169320e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7331892001249985141432868023628 y1[1] (numeric) = 1.7331892001249985141432868023633 absolute error = 5e-31 relative error = 2.8848552712187436764429575169320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2815.2MB, alloc=4.6MB, time=159.97 x[1] = 0.824 y2[1] (analytic) = 1.7338688581201870136628317803018 y2[1] (numeric) = 1.7338688581201870136628317803024 absolute error = 6e-31 relative error = 3.4604693266738957288286645049136e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7338688581201870136628317803018 y1[1] (numeric) = 1.7338688581201870136628317803024 absolute error = 6e-31 relative error = 3.4604693266738957288286645049136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2819.1MB, alloc=4.6MB, time=160.19 x[1] = 0.825 y2[1] (analytic) = 1.7345477822465785487315012530908 y2[1] (numeric) = 1.7345477822465785487315012530913 absolute error = 5e-31 relative error = 2.8825957123671867418552618890021e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7345477822465785487315012530908 y1[1] (numeric) = 1.7345477822465785487315012530913 absolute error = 5e-31 relative error = 2.8825957123671867418552618890021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2822.9MB, alloc=4.6MB, time=160.41 x[1] = 0.826 y2[1] (analytic) = 1.7352259718252490495347687987877 y2[1] (numeric) = 1.7352259718252490495347687987882 absolute error = 5e-31 relative error = 2.8814690888591307126967765519844e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7352259718252490495347687987877 y1[1] (numeric) = 1.7352259718252490495347687987882 absolute error = 5e-31 relative error = 2.8814690888591307126967765519844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2826.7MB, alloc=4.6MB, time=160.62 x[1] = 0.827 y2[1] (analytic) = 1.735903426178008993917929952807 y2[1] (numeric) = 1.7359034261780089939179299528074 absolute error = 4e-31 relative error = 2.3042756524808069647719618933672e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.735903426178008993917929952807 y1[1] (numeric) = 1.7359034261780089939179299528074 absolute error = 4e-31 relative error = 2.3042756524808069647719618933672e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2830.5MB, alloc=4.6MB, time=160.84 x[1] = 0.828 y2[1] (analytic) = 1.7365801446274040855755678468317 y2[1] (numeric) = 1.7365801446274040855755678468322 absolute error = 5e-31 relative error = 2.8792221398297666279150866102943e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7365801446274040855755678468317 y1[1] (numeric) = 1.7365801446274040855755678468322 absolute error = 5e-31 relative error = 2.8792221398297666279150866102943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2834.3MB, alloc=4.6MB, time=161.06 x[1] = 0.829 y2[1] (analytic) = 1.7372561264967159315057930597084 y2[1] (numeric) = 1.7372561264967159315057930597088 absolute error = 4e-31 relative error = 2.3024814470312138552580267532812e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7372561264967159315057930597084 y1[1] (numeric) = 1.7372561264967159315057930597088 absolute error = 4e-31 relative error = 2.3024814470312138552580267532812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2838.1MB, alloc=4.6MB, time=161.27 x[1] = 0.83 y2[1] (analytic) = 1.7379313711099627187285802261381 y2[1] (numeric) = 1.7379313711099627187285802261385 absolute error = 4e-31 relative error = 2.3015868557832202523422384383651e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7379313711099627187285802261381 y1[1] (numeric) = 1.7379313711099627187285802261385 absolute error = 4e-31 relative error = 2.3015868557832202523422384383651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2841.9MB, alloc=4.6MB, time=161.49 x[1] = 0.831 y2[1] (analytic) = 1.7386058777918998902675246848866 y2[1] (numeric) = 1.738605877791899890267524684887 absolute error = 4e-31 relative error = 2.3006939359253533252617397158868e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7386058777918998902675246848866 y1[1] (numeric) = 1.738605877791899890267524684887 absolute error = 4e-31 relative error = 2.3006939359253533252617397158868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2845.8MB, alloc=4.6MB, time=161.71 x[1] = 0.832 y2[1] (analytic) = 1.7392796458680208203943431848106 y2[1] (numeric) = 1.7392796458680208203943431848111 absolute error = 5e-31 relative error = 2.8747533565855387406579054560323e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7392796458680208203943431848106 y1[1] (numeric) = 1.7392796458680208203943431848111 absolute error = 5e-31 relative error = 2.8747533565855387406579054560323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2849.6MB, alloc=4.6MB, time=161.93 x[1] = 0.833 y2[1] (analytic) = 1.739952674664557489135443404258 y2[1] (numeric) = 1.7399526746645574891354434042585 absolute error = 5e-31 relative error = 2.8736413770356952259274152801273e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.739952674664557489135443404258 y1[1] (numeric) = 1.7399526746645574891354434042585 absolute error = 5e-31 relative error = 2.8736413770356952259274152801273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2853.4MB, alloc=4.6MB, time=162.14 x[1] = 0.834 y2[1] (analytic) = 1.7406249635084811560398877773265 y2[1] (numeric) = 1.740624963508481156039887777327 absolute error = 5e-31 relative error = 2.8725314785338809788367513598250e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7406249635084811560398877773265 y1[1] (numeric) = 1.740624963508481156039887777327 absolute error = 5e-31 relative error = 2.8725314785338809788367513598250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2857.2MB, alloc=4.6MB, time=162.36 x[1] = 0.835 y2[1] (analytic) = 1.741296511727503033208077859075 y2[1] (numeric) = 1.7412965117275030332080778590755 absolute error = 5e-31 relative error = 2.8714236583633920684489310199426e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.741296511727503033208077859075 y1[1] (numeric) = 1.7412965117275030332080778590755 absolute error = 5e-31 relative error = 2.8714236583633920684489310199426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2861.0MB, alloc=4.6MB, time=162.57 x[1] = 0.836 y2[1] (analytic) = 1.7419673186500749575804862010582 y2[1] (numeric) = 1.7419673186500749575804862010587 absolute error = 5e-31 relative error = 2.8703179138140858070534699442428e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7419673186500749575804862010582 y1[1] (numeric) = 1.7419673186500749575804862010587 absolute error = 5e-31 relative error = 2.8703179138140858070534699442428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2864.8MB, alloc=4.6MB, time=162.79 x[1] = 0.837 y2[1] (analytic) = 1.7426373836053900624857634485088 y2[1] (numeric) = 1.7426373836053900624857634485093 absolute error = 5e-31 relative error = 2.8692142421823658368289320268429e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7426373836053900624857634485088 y1[1] (numeric) = 1.7426373836053900624857634485093 absolute error = 5e-31 relative error = 2.8692142421823658368289320268429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2868.6MB, alloc=4.6MB, time=163.00 x[1] = 0.838 y2[1] (analytic) = 1.743306705923383448447549111117 y2[1] (numeric) = 1.7433067059233834484475491111174 absolute error = 4e-31 relative error = 2.2944901126169338099247259793196e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.743306705923383448447549111117 y1[1] (numeric) = 1.7433067059233834484475491111174 absolute error = 4e-31 relative error = 2.2944901126169338099247259793196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2872.5MB, alloc=4.6MB, time=163.23 x[1] = 0.839 y2[1] (analytic) = 1.7439752849347328532493152006504 y2[1] (numeric) = 1.7439752849347328532493152006509 absolute error = 5e-31 relative error = 2.8670131068899418291833892578215e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7439752849347328532493152006504 y1[1] (numeric) = 1.7439752849347328532493152006509 absolute error = 5e-31 relative error = 2.8670131068899418291833892578215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2876.3MB, alloc=4.6MB, time=163.44 x[1] = 0.84 y2[1] (analytic) = 1.7446431199708593212565726706296 y2[1] (numeric) = 1.7446431199708593212565726706301 absolute error = 5e-31 relative error = 2.8659156378546431472520791390334e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7446431199708593212565726706296 y1[1] (numeric) = 1.7446431199708593212565726706301 absolute error = 5e-31 relative error = 2.8659156378546431472520791390334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2880.1MB, alloc=4.6MB, time=163.66 x[1] = 0.841 y2[1] (analytic) = 1.7453102103639278719957713359055 y2[1] (numeric) = 1.745310210363927871995771335906 absolute error = 5e-31 relative error = 2.8648202309877119607787133098894e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7453102103639278719957713359055 y1[1] (numeric) = 1.745310210363927871995771335906 absolute error = 5e-31 relative error = 2.8648202309877119607787133098894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2883.9MB, alloc=4.6MB, time=163.88 x[1] = 0.842 y2[1] (analytic) = 1.7459765554468481679892246932965 y2[1] (numeric) = 1.745976555446848167989224693297 absolute error = 5e-31 relative error = 2.8637268836180614627060542397515e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7459765554468481679892246932965 y1[1] (numeric) = 1.745976555446848167989224693297 absolute error = 5e-31 relative error = 2.8637268836180614627060542397515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2887.7MB, alloc=4.6MB, time=164.09 x[1] = 0.843 y2[1] (analytic) = 1.7466421545532751818453918084153 y2[1] (numeric) = 1.7466421545532751818453918084158 absolute error = 5e-31 relative error = 2.8626355930810626546237495830081e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7466421545532751818453918084153 y1[1] (numeric) = 1.7466421545532751818453918084158 absolute error = 5e-31 relative error = 2.8626355930810626546237495830081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2891.5MB, alloc=4.6MB, time=164.31 x[1] = 0.844 y2[1] (analytic) = 1.7473070070176098626038491784596 y2[1] (numeric) = 1.7473070070176098626038491784601 absolute error = 5e-31 relative error = 2.8615463567185297516658110108533e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7473070070176098626038491784596 y1[1] (numeric) = 1.7473070070176098626038491784601 absolute error = 5e-31 relative error = 2.8615463567185297516658110108533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2895.4MB, alloc=4.6MB, time=164.52 x[1] = 0.845 y2[1] (analytic) = 1.7479711121749998013342862260498 y2[1] (numeric) = 1.7479711121749998013342862260503 absolute error = 5e-31 relative error = 2.8604591718787056322910155833712e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7479711121749998013342862260498 y1[1] (numeric) = 1.7479711121749998013342862260503 absolute error = 5e-31 relative error = 2.8604591718787056322910155833712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2899.2MB, alloc=4.6MB, time=164.74 x[1] = 0.846 y2[1] (analytic) = 1.7486344693613398959888588251738 y2[1] (numeric) = 1.7486344693613398959888588251743 absolute error = 5e-31 relative error = 2.8593740359162473328030797899605e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7486344693613398959888588251738 y1[1] (numeric) = 1.7486344693613398959888588251743 absolute error = 5e-31 relative error = 2.8593740359162473328030797899605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2903.0MB, alloc=4.6MB, time=164.95 x[1] = 0.847 y2[1] (analytic) = 1.7492970779132730155072360069414 y2[1] (numeric) = 1.7492970779132730155072360069419 absolute error = 5e-31 relative error = 2.8582909461922115864680016661831e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7492970779132730155072360069414 y1[1] (numeric) = 1.7492970779132730155072360069419 absolute error = 5e-31 relative error = 2.8582909461922115864680016661831e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2906.8MB, alloc=4.6MB, time=165.16 x[1] = 0.848 y2[1] (analytic) = 1.7499589371681906631736757401562 y2[1] (numeric) = 1.7499589371681906631736757401567 absolute error = 5e-31 relative error = 2.8572099000740404070865094537166e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7499589371681906631736757401562 y1[1] (numeric) = 1.7499589371681906631736757401567 absolute error = 5e-31 relative error = 2.8572099000740404070865094537166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2910.6MB, alloc=4.6MB, time=165.38 x[1] = 0.849 y2[1] (analytic) = 1.7506200464642336392254664296844 y2[1] (numeric) = 1.7506200464642336392254664296849 absolute error = 5e-31 relative error = 2.8561308949355467168800961174278e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7506200464642336392254664296844 y1[1] (numeric) = 1.7506200464642336392254664296849 absolute error = 5e-31 relative error = 2.8561308949355467168800961174278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2914.4MB, alloc=4.6MB, time=165.60 x[1] = 0.85 y2[1] (analytic) = 1.7512804051402927027120715242355 y2[1] (numeric) = 1.7512804051402927027120715242359 absolute error = 4e-31 relative error = 2.2840431425255200148397261438240e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7512804051402927027120715242355 y1[1] (numeric) = 1.7512804051402927027120715242359 absolute error = 4e-31 relative error = 2.2840431425255200148397261438240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2918.2MB, alloc=4.6MB, time=165.82 x[1] = 0.851 y2[1] (analytic) = 1.7519400125360092326043153744632 y2[1] (numeric) = 1.7519400125360092326043153744636 absolute error = 4e-31 relative error = 2.2831831976996896890930318303758e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7519400125360092326043153744632 y1[1] (numeric) = 1.7519400125360092326043153744636 absolute error = 4e-31 relative error = 2.2831831976996896890930318303758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2922.1MB, alloc=4.6MB, time=166.03 x[1] = 0.852 y2[1] (analytic) = 1.7525988679917758881529492322585 y2[1] (numeric) = 1.7525988679917758881529492322589 absolute error = 4e-31 relative error = 2.2823248793852182809234649626741e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7525988679917758881529492322585 y1[1] (numeric) = 1.7525988679917758881529492322589 absolute error = 4e-31 relative error = 2.2823248793852182809234649626741e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2925.9MB, alloc=4.6MB, time=166.25 x[1] = 0.853 y2[1] (analytic) = 1.7532569708487372684959370327215 y2[1] (numeric) = 1.7532569708487372684959370327219 absolute error = 4e-31 relative error = 2.2814681855014287632218200046513e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7532569708487372684959370327215 y1[1] (numeric) = 1.7532569708487372684959370327219 absolute error = 4e-31 relative error = 2.2814681855014287632218200046513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2929.7MB, alloc=4.6MB, time=166.47 x[1] = 0.854 y2[1] (analytic) = 1.7539143204487905715138013515826 y2[1] (numeric) = 1.753914320448790571513801351583 absolute error = 4e-31 relative error = 2.2806131139726838749901585984796e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7539143204487905715138013515826 y1[1] (numeric) = 1.753914320448790571513801351583 absolute error = 4e-31 relative error = 2.2806131139726838749901585984796e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2933.5MB, alloc=4.6MB, time=166.68 x[1] = 0.855 y2[1] (analytic) = 1.7545709161345862519323706827818 y2[1] (numeric) = 1.7545709161345862519323706827821 absolute error = 3e-31 relative error = 1.7098197470462811255017331512859e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7545709161345862519323706827818 y1[1] (numeric) = 1.7545709161345862519323706827821 absolute error = 3e-31 relative error = 1.7098197470462811255017331512859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2937.3MB, alloc=4.6MB, time=166.90 x[1] = 0.856 y2[1] (analytic) = 1.7552267572495286786722699335127 y2[1] (numeric) = 1.755226757249528678672269933513 absolute error = 3e-31 relative error = 1.7091808722771825631010232338304e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7552267572495286786722699335127 y1[1] (numeric) = 1.755226757249528678672269933513 absolute error = 3e-31 relative error = 1.7091808722771825631010232338304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2941.1MB, alloc=4.6MB, time=167.11 x[1] = 0.857 y2[1] (analytic) = 1.7558818431377767914444967872976 y2[1] (numeric) = 1.7558818431377767914444967872979 absolute error = 3e-31 relative error = 1.7085432096267780579432418243129e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7558818431377767914444967872976 y1[1] (numeric) = 1.7558818431377767914444967872979 absolute error = 3e-31 relative error = 1.7085432096267780579432418243129e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2944.9MB, alloc=4.6MB, time=167.33 x[1] = 0.858 y2[1] (analytic) = 1.7565361731442447565914273395692 y2[1] (numeric) = 1.7565361731442447565914273395696 absolute error = 4e-31 relative error = 2.2772090100711660895778657205621e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7565361731442447565914273395692 y1[1] (numeric) = 1.7565361731442447565914273395696 absolute error = 4e-31 relative error = 2.2772090100711660895778657205621e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2948.8MB, alloc=4.6MB, time=167.55 x[1] = 0.859 y2[1] (analytic) = 1.757189746614602622172595164811 y2[1] (numeric) = 1.7571897466146026221725951648114 absolute error = 4e-31 relative error = 2.2763620193586890723228963457467e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.757189746614602622172595164811 y1[1] (numeric) = 1.7571897466146026221725951648114 absolute error = 4e-31 relative error = 2.2763620193586890723228963457467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2952.6MB, alloc=4.6MB, time=167.77 x[1] = 0.86 y2[1] (analytic) = 1.7578425628952769722945887295286 y2[1] (numeric) = 1.757842562895276972294588729529 absolute error = 4e-31 relative error = 2.2755166386526385366592950065839e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7578425628952769722945887295286 y1[1] (numeric) = 1.757842562895276972294588729529 absolute error = 4e-31 relative error = 2.2755166386526385366592950065839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2956.4MB, alloc=4.6MB, time=167.99 x[1] = 0.861 y2[1] (analytic) = 1.7584946213334515806844128212126 y2[1] (numeric) = 1.7584946213334515806844128212129 absolute error = 3e-31 relative error = 1.7060046494342561045520478397252e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7584946213334515806844128212126 y1[1] (numeric) = 1.7584946213334515806844128212129 absolute error = 3e-31 relative error = 1.7060046494342561045520478397252e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2960.2MB, alloc=4.6MB, time=168.20 x[1] = 0.862 y2[1] (analytic) = 1.7591459212770680635056604199826 y2[1] (numeric) = 1.759145921277068063505660419983 absolute error = 4e-31 relative error = 2.2738306991020753027457726005839e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7591459212770680635056604199826 y1[1] (numeric) = 1.759145921277068063505660419983 absolute error = 4e-31 relative error = 2.2738306991020753027457726005839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2964.0MB, alloc=4.6MB, time=168.41 x[1] = 0.863 y2[1] (analytic) = 1.7597964620748265314168421967984 y2[1] (numeric) = 1.7597964620748265314168421967987 absolute error = 3e-31 relative error = 1.7047426021432926509219766773008e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7597964620748265314168421967984 y1[1] (numeric) = 1.7597964620748265314168421967987 absolute error = 3e-31 relative error = 1.7047426021432926509219766773008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2967.8MB, alloc=4.6MB, time=168.63 x[1] = 0.864 y2[1] (analytic) = 1.7604462430761862408712215799592 y2[1] (numeric) = 1.7604462430761862408712215799595 absolute error = 3e-31 relative error = 1.7041133813650735868879630558246e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7604462430761862408712215799592 y1[1] (numeric) = 1.7604462430761862408712215799595 absolute error = 3e-31 relative error = 1.7041133813650735868879630558246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2971.6MB, alloc=4.6MB, time=168.84 x[1] = 0.865 y2[1] (analytic) = 1.7610952636313662446575040901144 y2[1] (numeric) = 1.7610952636313662446575040901147 absolute error = 3e-31 relative error = 1.7034853604761963664012815283892e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7610952636313662446575040901144 y1[1] (numeric) = 1.7610952636313662446575040901147 absolute error = 3e-31 relative error = 1.7034853604761963664012815283892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2975.5MB, alloc=4.6MB, time=169.06 x[1] = 0.866 y2[1] (analytic) = 1.7617435230913460416807304031469 y2[1] (numeric) = 1.7617435230913460416807304031472 absolute error = 3e-31 relative error = 1.7028585379646380076486845928664e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7617435230913460416807304031469 y1[1] (numeric) = 1.7617435230913460416807304031472 absolute error = 3e-31 relative error = 1.7028585379646380076486845928664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2979.3MB, alloc=4.6MB, time=169.28 x[1] = 0.867 y2[1] (analytic) = 1.7623910208078662259827233600927 y2[1] (numeric) = 1.7623910208078662259827233600931 absolute error = 4e-31 relative error = 2.2696438830960630756268890587751e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7623910208078662259827233600927 y1[1] (numeric) = 1.7623910208078662259827233600931 absolute error = 4e-31 relative error = 2.2696438830960630756268890587751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2983.1MB, alloc=4.6MB, time=169.50 x[1] = 0.868 y2[1] (analytic) = 1.763037756133429135001439903703 y2[1] (numeric) = 1.7630377561334291350014399037033 absolute error = 3e-31 relative error = 1.7016084820437367038041986362822e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.763037756133429135001439903703 y1[1] (numeric) = 1.7630377561334291350014399037033 absolute error = 3e-31 relative error = 1.7016084820437367038041986362822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2986.9MB, alloc=4.6MB, time=169.71 x[1] = 0.869 y2[1] (analytic) = 1.7636837284212994970685796823498 y2[1] (numeric) = 1.7636837284212994970685796823501 absolute error = 3e-31 relative error = 1.7009852456286741743390202065453e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7636837284212994970685796823498 y1[1] (numeric) = 1.7636837284212994970685796823501 absolute error = 3e-31 relative error = 1.7009852456286741743390202065453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2990.7MB, alloc=4.6MB, time=169.93 x[1] = 0.87 y2[1] (analytic) = 1.7643289370255050781448028237228 y2[1] (numeric) = 1.7643289370255050781448028237232 absolute error = 4e-31 relative error = 2.2671509354393001933888010742550e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7643289370255050781448028237228 y1[1] (numeric) = 1.7643289370255050781448028237232 absolute error = 4e-31 relative error = 2.2671509354393001933888010742550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2994.5MB, alloc=4.6MB, time=170.15 x[1] = 0.871 y2[1] (analytic) = 1.7649733813008373277919101431513 y2[1] (numeric) = 1.7649733813008373277919101431517 absolute error = 4e-31 relative error = 2.2663231312031925796482235871263e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7649733813008373277919101431513 y1[1] (numeric) = 1.7649733813008373277919101431517 absolute error = 4e-31 relative error = 2.2663231312031925796482235871263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2998.4MB, alloc=4.6MB, time=170.36 x[1] = 0.872 y2[1] (analytic) = 1.7656170606028520243813398144258 y2[1] (numeric) = 1.7656170606028520243813398144261 absolute error = 3e-31 relative error = 1.6991226846073182199045026426533e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7656170606028520243813398144258 y1[1] (numeric) = 1.7656170606028520243813398144261 absolute error = 3e-31 relative error = 1.6991226846073182199045026426533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3002.2MB, alloc=4.6MB, time=170.58 x[1] = 0.873 y2[1] (analytic) = 1.7662599742878699195383352946765 y2[1] (numeric) = 1.7662599742878699195383352946768 absolute error = 3e-31 relative error = 1.6985042087077560248804995083594e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7662599742878699195383352946765 y1[1] (numeric) = 1.7662599742878699195383352946768 absolute error = 3e-31 relative error = 1.6985042087077560248804995083594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3006.0MB, alloc=4.6MB, time=170.80 x[1] = 0.874 y2[1] (analytic) = 1.7669021217129773818211400591947 y2[1] (numeric) = 1.766902121712977381821140059195 absolute error = 3e-31 relative error = 1.6978869192208327366117690847781e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7669021217129773818211400591947 y1[1] (numeric) = 1.766902121712977381821140059195 absolute error = 3e-31 relative error = 1.6978869192208327366117690847781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3009.8MB, alloc=4.6MB, time=171.01 x[1] = 0.875 y2[1] (analytic) = 1.7675435022360270396345754670545 y2[1] (numeric) = 1.7675435022360270396345754670549 absolute error = 4e-31 relative error = 2.2630277528897075252151597375509e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7675435022360270396345754670545 y1[1] (numeric) = 1.7675435022360270396345754670549 absolute error = 4e-31 relative error = 2.2630277528897075252151597375509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3013.6MB, alloc=4.6MB, time=171.23 x[1] = 0.876 y2[1] (analytic) = 1.768184115215638423377358844013 y2[1] (numeric) = 1.7681841152156384233773588440134 absolute error = 4e-31 relative error = 2.2622078580952420014973780537248e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.768184115215638423377358844013 y1[1] (numeric) = 1.7681841152156384233773588440134 absolute error = 4e-31 relative error = 2.2622078580952420014973780537248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3017.4MB, alloc=4.6MB, time=171.44 x[1] = 0.877 y2[1] (analytic) = 1.7688239600111986068225196354215 y2[1] (numeric) = 1.7688239600111986068225196354219 absolute error = 4e-31 relative error = 2.2613895392816114881647274896158e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7688239600111986068225196354215 y1[1] (numeric) = 1.7688239600111986068225196354219 absolute error = 4e-31 relative error = 2.2613895392816114881647274896158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3021.2MB, alloc=4.6MB, time=171.66 x[1] = 0.878 y2[1] (analytic) = 1.769463035982862847730272248788 y2[1] (numeric) = 1.7694630359828628477302722487883 absolute error = 3e-31 relative error = 1.6954295958681189625862266041977e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.769463035982862847730272248788 y1[1] (numeric) = 1.7694630359828628477302722487883 absolute error = 3e-31 relative error = 1.6954295958681189625862266041977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3025.1MB, alloc=4.6MB, time=171.88 x[1] = 0.879 y2[1] (analytic) = 1.7701013424915552276927049731688 y2[1] (numeric) = 1.7701013424915552276927049731691 absolute error = 3e-31 relative error = 1.6948182163272453164297509555420e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7701013424915552276927049731688 y1[1] (numeric) = 1.7701013424915552276927049731691 absolute error = 3e-31 relative error = 1.6948182163272453164297509555420e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3028.9MB, alloc=4.6MB, time=172.09 x[1] = 0.88 y2[1] (analytic) = 1.770738878898969291209645130756 y2[1] (numeric) = 1.7707388788989692912096451307563 absolute error = 3e-31 relative error = 1.6942080143772384163768237507404e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.770738878898969291209645130756 y1[1] (numeric) = 1.7707388788989692912096451307563 absolute error = 3e-31 relative error = 1.6942080143772384163768237507404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3032.7MB, alloc=4.6MB, time=172.31 x[1] = 0.881 y2[1] (analytic) = 1.771375644567568683995061384847 y2[1] (numeric) = 1.7713756445675686839950613848473 absolute error = 3e-31 relative error = 1.6935989885603091485475219255943e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.771375644567568683995061384847 y1[1] (numeric) = 1.7713756445675686839950613848473 absolute error = 3e-31 relative error = 1.6935989885603091485475219255943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3036.5MB, alloc=4.6MB, time=172.53 x[1] = 0.882 y2[1] (analytic) = 1.772011638860587790513364897848 y2[1] (numeric) = 1.7720116388605877905133648978484 absolute error = 4e-31 relative error = 2.2573215165629610066831871234256e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.772011638860587790513364897848 y1[1] (numeric) = 1.7720116388605877905133648978484 absolute error = 4e-31 relative error = 2.2573215165629610066831871234256e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=3040.3MB, alloc=4.6MB, time=172.75 TOP MAIN SOLVE Loop x[1] = 0.883 y2[1] (analytic) = 1.7726468611420323707449718030637 y2[1] (numeric) = 1.7726468611420323707449718030641 absolute error = 4e-31 relative error = 2.2565126126830414216408878397409e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7726468611420323707449718030637 y1[1] (numeric) = 1.7726468611420323707449718030641 absolute error = 4e-31 relative error = 2.2565126126830414216408878397409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=3044.1MB, alloc=4.6MB, time=172.97 TOP MAIN SOLVE Loop x[1] = 0.884 y2[1] (analytic) = 1.7732813107766801961804902247626 y2[1] (numeric) = 1.773281310776680196180490224763 absolute error = 4e-31 relative error = 2.2557052711777796763990458900717e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7732813107766801961804902247626 y1[1] (numeric) = 1.773281310776680196180490224763 absolute error = 4e-31 relative error = 2.2557052711777796763990458900717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=3047.9MB, alloc=4.6MB, time=173.18 TOP MAIN SOLVE Loop x[1] = 0.885 y2[1] (analytic) = 1.7739149871300816850428958523849 y2[1] (numeric) = 1.7739149871300816850428958523853 absolute error = 4e-31 relative error = 2.2548994901223408372514748994986e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7739149871300816850428958523849 y1[1] (numeric) = 1.7739149871300816850428958523853 absolute error = 4e-31 relative error = 2.2548994901223408372514748994986e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=3051.8MB, alloc=4.6MB, time=173.40 TOP MAIN SOLVE Loop x[1] = 0.886 y2[1] (analytic) = 1.7745478895685605367370608467703 y2[1] (numeric) = 1.7745478895685605367370608467707 absolute error = 4e-31 relative error = 2.2540952675965852081880990677661e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7745478895685605367370608467703 y1[1] (numeric) = 1.7745478895685605367370608467707 absolute error = 4e-31 relative error = 2.2540952675965852081880990677661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=3055.6MB, alloc=4.6MB, time=173.62 TOP MAIN SOLVE Loop x[1] = 0.887 y2[1] (analytic) = 1.7751800174592143655260016289292 y2[1] (numeric) = 1.7751800174592143655260016289296 absolute error = 4e-31 relative error = 2.2532926016850581005457332924841e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7751800174592143655260016289292 y1[1] (numeric) = 1.7751800174592143655260016289296 absolute error = 4e-31 relative error = 2.2532926016850581005457332924841e-29 % Correct digits = 30 h = 0.001 memory used=3059.4MB, alloc=4.6MB, time=173.84 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3063.2MB, alloc=4.6MB, time=174.05 x[1] = 0.888 y2[1] (analytic) = 1.7758113701699153334332118751625 y2[1] (numeric) = 1.7758113701699153334332118751629 absolute error = 4e-31 relative error = 2.2524914904769796340137925878215e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7758113701699153334332118751625 y1[1] (numeric) = 1.7758113701699153334332118751629 absolute error = 4e-31 relative error = 2.2524914904769796340137925878215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3067.0MB, alloc=4.6MB, time=174.27 x[1] = 0.889 y2[1] (analytic) = 1.7764419470693107823704478162497 y2[1] (numeric) = 1.7764419470693107823704478162501 absolute error = 4e-31 relative error = 2.2516919320662345688976595907489e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7764419470693107823704478162497 y1[1] (numeric) = 1.7764419470693107823704478162501 absolute error = 4e-31 relative error = 2.2516919320662345688976595907489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3070.8MB, alloc=4.6MB, time=174.49 x[1] = 0.89 y2[1] (analytic) = 1.7770717475268238654903337129732 y2[1] (numeric) = 1.7770717475268238654903337129736 absolute error = 4e-31 relative error = 2.2508939245513621695428056430029e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7770717475268238654903337129732 y1[1] (numeric) = 1.7770717475268238654903337129736 absolute error = 4e-31 relative error = 2.2508939245513621695428056430029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3074.6MB, alloc=4.6MB, time=174.70 x[1] = 0.891 y2[1] (analytic) = 1.7777007709126541777631561554249 y2[1] (numeric) = 1.7777007709126541777631561554253 absolute error = 4e-31 relative error = 2.2500974660355460988231261726472e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7777007709126541777631561554249 y1[1] (numeric) = 1.7777007709126541777631561554253 absolute error = 4e-31 relative error = 2.2500974660355460988231261726472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3078.5MB, alloc=4.6MB, time=174.92 x[1] = 0.892 y2[1] (analytic) = 1.7783290165977783857772166093547 y2[1] (numeric) = 1.7783290165977783857772166093551 absolute error = 4e-31 relative error = 2.2493025546266043435973148809774e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7783290165977783857772166093547 y1[1] (numeric) = 1.7783290165977783857772166093551 absolute error = 4e-31 relative error = 2.2493025546266043435973148809774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3082.3MB, alloc=4.6MB, time=175.14 x[1] = 0.893 y2[1] (analytic) = 1.7789564839539508567621124092591 y2[1] (numeric) = 1.7789564839539508567621124092596 absolute error = 5e-31 relative error = 2.8106364855462239637968294689405e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7789564839539508567621124092591 y1[1] (numeric) = 1.7789564839539508567621124092596 absolute error = 5e-31 relative error = 2.8106364855462239637968294689405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3086.1MB, alloc=4.6MB, time=175.36 x[1] = 0.894 y2[1] (analytic) = 1.7795831723537042868343171749836 y2[1] (numeric) = 1.779583172353704286834317174984 absolute error = 4e-31 relative error = 2.2477173655837271157344353808572e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7795831723537042868343171749836 y1[1] (numeric) = 1.779583172353704286834317174984 absolute error = 4e-31 relative error = 2.2477173655837271157344353808572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3089.9MB, alloc=4.6MB, time=175.57 x[1] = 0.895 y2[1] (analytic) = 1.780209081170350328464432406308 y2[1] (numeric) = 1.7802090811703503284644324063084 absolute error = 4e-31 relative error = 2.2469270841885089974849185290383e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.780209081170350328464432406308 y1[1] (numeric) = 1.7802090811703503284644324063084 absolute error = 4e-31 relative error = 2.2469270841885089974849185290383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3093.7MB, alloc=4.6MB, time=175.79 x[1] = 0.896 y2[1] (analytic) = 1.7808342097779802171654827883184 y2[1] (numeric) = 1.7808342097779802171654827883188 absolute error = 4e-31 relative error = 2.2461383423775799696654259427579e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7808342097779802171654827883184 y1[1] (numeric) = 1.7808342097779802171654827883188 absolute error = 4e-31 relative error = 2.2461383423775799696654259427579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3097.5MB, alloc=4.6MB, time=176.01 x[1] = 0.897 y2[1] (analytic) = 1.7814585575514653974016285193201 y2[1] (numeric) = 1.7814585575514653974016285193205 absolute error = 4e-31 relative error = 2.2453511382817795980988624609616e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7814585575514653974016285193201 y1[1] (numeric) = 1.7814585575514653974016285193205 absolute error = 4e-31 relative error = 2.2453511382817795980988624609616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3101.3MB, alloc=4.6MB, time=176.23 x[1] = 0.898 y2[1] (analytic) = 1.7820821238664581477166687526331 y2[1] (numeric) = 1.7820821238664581477166687526335 absolute error = 4e-31 relative error = 2.2445654700365219703196367318352e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7820821238664581477166687526331 y1[1] (numeric) = 1.7820821238664581477166687526335 absolute error = 4e-31 relative error = 2.2445654700365219703196367318352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3105.2MB, alloc=4.6MB, time=176.44 x[1] = 0.899 y2[1] (analytic) = 1.7827049080993922050817110238177 y2[1] (numeric) = 1.7827049080993922050817110238181 absolute error = 4e-31 relative error = 2.2437813357817858351436485958435e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7827049080993922050817110238177 y1[1] (numeric) = 1.7827049080993922050817110238181 absolute error = 4e-31 relative error = 2.2437813357817858351436485958435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3109.0MB, alloc=4.6MB, time=176.66 x[1] = 0.9 y2[1] (analytic) = 1.7833269096274833884613823157136 y2[1] (numeric) = 1.783326909627483388461382315714 absolute error = 4e-31 relative error = 2.2429987336621047724498351638412e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7833269096274833884613823157136 y1[1] (numeric) = 1.783326909627483388461382315714 absolute error = 4e-31 relative error = 2.2429987336621047724498351638412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3112.8MB, alloc=4.6MB, time=176.88 x[1] = 0.901 y2[1] (analytic) = 1.7839481278287302215979581951327 y2[1] (numeric) = 1.7839481278287302215979581951332 absolute error = 5e-31 relative error = 2.8027720772831967413503872314409e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7839481278287302215979581951327 y1[1] (numeric) = 1.7839481278287302215979581951332 absolute error = 5e-31 relative error = 2.8027720772831967413503872314409e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3116.6MB, alloc=4.6MB, time=177.09 x[1] = 0.902 y2[1] (analytic) = 1.7845685620819145550127872371293 y2[1] (numeric) = 1.7845685620819145550127872371298 absolute error = 5e-31 relative error = 2.8017976480359469609580971256490e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7845685620819145550127872371293 y1[1] (numeric) = 1.7845685620819145550127872371298 absolute error = 5e-31 relative error = 2.8017976480359469609580971256490e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3120.4MB, alloc=4.6MB, time=177.31 x[1] = 0.903 y2[1] (analytic) = 1.7851882117666021872243887354735 y2[1] (numeric) = 1.7851882117666021872243887354741 absolute error = 6e-31 relative error = 3.3609901524402670379832905873772e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7851882117666021872243887354735 y1[1] (numeric) = 1.7851882117666021872243887354741 absolute error = 6e-31 relative error = 3.3609901524402670379832905873772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3124.2MB, alloc=4.6MB, time=177.53 x[1] = 0.904 y2[1] (analytic) = 1.7858070762631434851826024812843 y2[1] (numeric) = 1.7858070762631434851826024812848 absolute error = 5e-31 relative error = 2.7998545119793424570983843479340e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7858070762631434851826024812843 y1[1] (numeric) = 1.7858070762631434851826024812848 absolute error = 5e-31 relative error = 2.7998545119793424570983843479340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3128.1MB, alloc=4.6MB, time=177.74 x[1] = 0.905 y2[1] (analytic) = 1.7864251549526740039181701757212 y2[1] (numeric) = 1.7864251549526740039181701757217 absolute error = 5e-31 relative error = 2.7988858005822584033372756062122e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7864251549526740039181701757212 y1[1] (numeric) = 1.7864251549526740039181701757217 absolute error = 5e-31 relative error = 2.7988858005822584033372756062122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3131.9MB, alloc=4.6MB, time=177.96 x[1] = 0.906 y2[1] (analytic) = 1.787042447217115105407128827208 y2[1] (numeric) = 1.7870424472171151054071288272085 absolute error = 5e-31 relative error = 2.7979189905568759685116961233413e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.787042447217115105407128827208 y1[1] (numeric) = 1.7870424472171151054071288272085 absolute error = 5e-31 relative error = 2.7979189905568759685116961233413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3135.7MB, alloc=4.6MB, time=178.18 x[1] = 0.907 y2[1] (analytic) = 1.7876589524391745766493972688437 y2[1] (numeric) = 1.7876589524391745766493972688442 absolute error = 5e-31 relative error = 2.7969540796233759895459071153489e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7876589524391745766493972688437 y1[1] (numeric) = 1.7876589524391745766493972688442 absolute error = 5e-31 relative error = 2.7969540796233759895459071153489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3139.5MB, alloc=4.6MB, time=178.40 x[1] = 0.908 y2[1] (analytic) = 1.7882746700023472469609377174681 y2[1] (numeric) = 1.7882746700023472469609377174686 absolute error = 5e-31 relative error = 2.7959910655075358856750335930623e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7882746700023472469609377174681 y1[1] (numeric) = 1.7882746700023472469609377174686 absolute error = 5e-31 relative error = 2.7959910655075358856750335930623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3143.3MB, alloc=4.6MB, time=178.61 x[1] = 0.909 y2[1] (analytic) = 1.78888959929091560447887508227 y2[1] (numeric) = 1.7888895992909156044788750822705 absolute error = 5e-31 relative error = 2.7950299459407177053747845985648e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.78888959929091560447887508227 y1[1] (numeric) = 1.7888895992909156044788750822705 absolute error = 5e-31 relative error = 2.7950299459407177053747845985648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3147.1MB, alloc=4.6MB, time=178.83 x[1] = 0.91 y2[1] (analytic) = 1.7895037396899504118789575178716 y2[1] (numeric) = 1.7895037396899504118789575178721 absolute error = 5e-31 relative error = 2.7940707186598562099130083880415e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7895037396899504118789575178716 y1[1] (numeric) = 1.7895037396899504118789575178721 absolute error = 5e-31 relative error = 2.7940707186598562099130083880415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3150.9MB, alloc=4.6MB, time=179.05 x[1] = 0.911 y2[1] (analytic) = 1.7901170905853113213047425044789 y2[1] (numeric) = 1.7901170905853113213047425044794 absolute error = 5e-31 relative error = 2.7931133814074469934111684246897e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7901170905853113213047425044789 y1[1] (numeric) = 1.7901170905853113213047425044794 absolute error = 5e-31 relative error = 2.7931133814074469934111684246897e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3154.8MB, alloc=4.6MB, time=179.27 x[1] = 0.912 y2[1] (analytic) = 1.7907296513636474885078935259636 y2[1] (numeric) = 1.7907296513636474885078935259641 absolute error = 5e-31 relative error = 2.7921579319315346393042461010415e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7907296513636474885078935259636 y1[1] (numeric) = 1.7907296513636474885078935259641 absolute error = 5e-31 relative error = 2.7921579319315346393042461010415e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3158.6MB, alloc=4.6MB, time=179.48 x[1] = 0.913 y2[1] (analytic) = 1.7913414214123981861989732056309 y2[1] (numeric) = 1.7913414214123981861989732056314 absolute error = 5e-31 relative error = 2.7912043679857009130879945129315e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7913414214123981861989732056309 y1[1] (numeric) = 1.7913414214123981861989732056314 absolute error = 5e-31 relative error = 2.7912043679857009130879945129315e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3162.4MB, alloc=4.6MB, time=179.70 x[1] = 0.914 y2[1] (analytic) = 1.7919524001197934166081195489314 y2[1] (numeric) = 1.7919524001197934166081195489319 absolute error = 5e-31 relative error = 2.7902526873290529912428843648474e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7919524001197934166081195489314 y1[1] (numeric) = 1.7919524001197934166081195489319 absolute error = 5e-31 relative error = 2.7902526873290529912428843648474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3166.2MB, alloc=4.6MB, time=179.92 x[1] = 0.915 y2[1] (analytic) = 1.7925625868748545232549927324916 y2[1] (numeric) = 1.7925625868748545232549927324921 absolute error = 5e-31 relative error = 2.7893028877262117262244982059270e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7925625868748545232549927324916 y1[1] (numeric) = 1.7925625868748545232549927324921 absolute error = 5e-31 relative error = 2.7893028877262117262244982059270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3170.0MB, alloc=4.6MB, time=180.13 x[1] = 0.916 y2[1] (analytic) = 1.7931719810673948019273806695674 y2[1] (numeric) = 1.7931719810673948019273806695678 absolute error = 4e-31 relative error = 2.2306839735578399579284341478087e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7931719810673948019273806695674 y1[1] (numeric) = 1.7931719810673948019273806695678 absolute error = 4e-31 relative error = 2.2306839735578399579284341478087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=3173.8MB, alloc=4.6MB, time=180.35 x[1] = 0.917 y2[1] (analytic) = 1.7937805820880201108678523733656 y2[1] (numeric) = 1.7937805820880201108678523733661 absolute error = 5e-31 relative error = 2.7874089227679307978950603767503e-29 % Correct digits = 30 h = 0.001 y1[1] (analytic) = 1.7937805820880201108678523733656 y1[1] (numeric) = 1.7937805820880201108678523733661 absolute error = 5e-31 relative error = 2.7874089227679307978950603767503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 Finished! Maximum Time Reached before Solution Completed! diff ( y2 , x , 4 ) = y1 - 1.0; diff ( y1 , x , 1 ) = m1 * diff ( y2 , x , 3 ) ; Iterations = 818 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 15 Minutes 21 Seconds Optimized Time Remaining = 15 Minutes 19 Seconds Expected Total Time = 18 Minutes 20 Seconds Time to Timeout Unknown Percent Done = 16.38 % > quit memory used=3176.0MB, alloc=4.6MB, time=180.46