|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > # Begin Function number 3 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 1 > ret := 1.0; > else > ret := -1.0; > fi;# end if 1; > ret;; > end; check_sign := proc(x0, xf) local ret; if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret end proc > # End Function number 3 > # Begin Function number 4 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_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_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 (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 (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; 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 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 min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_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_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; > 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; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_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_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; 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; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_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_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[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_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[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_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_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_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[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_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[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_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_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_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 (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 (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_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_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_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_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((omniabs(array_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[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_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[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 - 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 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_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 2 > 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 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_y2_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_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 3 > 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 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_y1[term] := array_y1[term]* ratio; > array_y1_higher[1,term] := array_y1_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > 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; > 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_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_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[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_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[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 - 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[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_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[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_y1[term] := array_y1[term]*ratio; array_y1_higher[1, term] := array_y1_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; 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; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_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_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 > ; > 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 > #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_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_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_y1[iii]) then array_norms[iii] := omniabs(array_y1[iii]) end if; 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 end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > # emit pre mult FULL FULL $eq_no = 1 i = 1 > array_tmp1[1] := (array_m1[1] * (array_y2[1])); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; > #emit pre add FULL - CONST $eq_no = 1 i = 1 > array_tmp3[1] := array_tmp2[1] + array_const_1D0[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y1_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_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; > #emit pre sub FULL - CONST $eq_no = 2 i = 1 > array_tmp5[1] := array_y1[1] - array_const_1D0[1]; > #emit pre assign xxx $eq_no = 2 i = 1 $min_hdrs = 5 > if ( not array_y2_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_y2[2] := temporary; > array_y2_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y2_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > # emit pre mult FULL FULL $eq_no = 1 i = 2 > array_tmp1[2] := ats(2,array_m1,array_y2,1); > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre add FULL CONST $eq_no = 1 i = 2 > array_tmp3[2] := array_tmp2[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y1_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_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; > #emit pre sub FULL CONST $eq_no = 2 i = 2 > array_tmp5[2] := array_y1[2]; > #emit pre assign xxx $eq_no = 2 i = 2 $min_hdrs = 5 > if ( not array_y2_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_y2[3] := temporary; > array_y2_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y2_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > # emit pre mult FULL FULL $eq_no = 1 i = 3 > array_tmp1[3] := ats(3,array_m1,array_y2,1); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp2[3] := array_tmp1[3]; > #emit pre add FULL CONST $eq_no = 1 i = 3 > array_tmp3[3] := array_tmp2[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y1_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_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; > #emit pre sub FULL CONST $eq_no = 2 i = 3 > array_tmp5[3] := array_y1[3]; > #emit pre assign xxx $eq_no = 2 i = 3 $min_hdrs = 5 > if ( not array_y2_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_y2[4] := temporary; > array_y2_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y2_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > # emit pre mult FULL FULL $eq_no = 1 i = 4 > array_tmp1[4] := ats(4,array_m1,array_y2,1); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp2[4] := array_tmp1[4]; > #emit pre add FULL CONST $eq_no = 1 i = 4 > array_tmp3[4] := array_tmp2[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y1_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_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; > #emit pre sub FULL CONST $eq_no = 2 i = 4 > array_tmp5[4] := array_y1[4]; > #emit pre assign xxx $eq_no = 2 i = 4 $min_hdrs = 5 > if ( not array_y2_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_y2[5] := temporary; > array_y2_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y2_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > # emit pre mult FULL FULL $eq_no = 1 i = 5 > array_tmp1[5] := ats(5,array_m1,array_y2,1); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp2[5] := array_tmp1[5]; > #emit pre add FULL CONST $eq_no = 1 i = 5 > array_tmp3[5] := array_tmp2[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y1_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp3[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_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; > #emit pre sub FULL CONST $eq_no = 2 i = 5 > array_tmp5[5] := array_y1[5]; > #emit pre assign xxx $eq_no = 2 i = 5 $min_hdrs = 5 > if ( not array_y2_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_y2[6] := temporary; > array_y2_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y2_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 mult FULL FULL $eq_no = 1 > array_tmp1[kkk] := ats(kkk,array_m1,array_y2,1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp2[kkk] := array_tmp1[kkk]; > #emit FULL - NOT FULL add $eq_no = 1 > array_tmp3[kkk] := array_tmp2[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y1_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp3[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_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; > #emit FULL - NOT FULL sub $eq_no = 2 > array_tmp5[kkk] := array_y1[kkk]; > #emit assign $eq_no = 2 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y2_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_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; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_m1[1]*array_y2[1]; array_tmp2[1] := array_const_0D0[1] + array_tmp1[1]; array_tmp3[1] := array_tmp2[1] + array_const_1D0[1]; if not array_y1_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp3[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_tmp5[1] := array_y1[1] - array_const_1D0[1]; if not array_y2_set_initial[2, 2] then if 1 <= glob_max_terms then temporary := array_tmp5[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y2[2] := temporary; array_y2_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y2_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := ats(2, array_m1, array_y2, 1); array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp2[2]; if not array_y1_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp3[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_tmp5[2] := array_y1[2]; if not array_y2_set_initial[2, 3] then if 2 <= glob_max_terms then temporary := array_tmp5[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y2[3] := temporary; array_y2_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y2_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp1[3] := ats(3, array_m1, array_y2, 1); array_tmp2[3] := array_tmp1[3]; array_tmp3[3] := array_tmp2[3]; if not array_y1_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp3[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_tmp5[3] := array_y1[3]; if not array_y2_set_initial[2, 4] then if 3 <= glob_max_terms then temporary := array_tmp5[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y2[4] := temporary; array_y2_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y2_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp1[4] := ats(4, array_m1, array_y2, 1); array_tmp2[4] := array_tmp1[4]; array_tmp3[4] := array_tmp2[4]; if not array_y1_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp3[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_tmp5[4] := array_y1[4]; if not array_y2_set_initial[2, 5] then if 4 <= glob_max_terms then temporary := array_tmp5[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y2[5] := temporary; array_y2_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y2_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp1[5] := ats(5, array_m1, array_y2, 1); array_tmp2[5] := array_tmp1[5]; array_tmp3[5] := array_tmp2[5]; if not array_y1_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp3[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; array_tmp5[5] := array_y1[5]; if not array_y2_set_initial[2, 6] then if 5 <= glob_max_terms then temporary := array_tmp5[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y2[6] := temporary; array_y2_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y2_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp1[kkk] := ats(kkk, array_m1, array_y2, 1); array_tmp2[kkk] := array_tmp1[kkk]; array_tmp3[kkk] := array_tmp2[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y1_set_initial[1, kkk + order_d] then temporary := array_tmp3[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_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; array_tmp5[kkk] := array_y1[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y2_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_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; 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 + cos(x)); > end; exact_soln_y1 := proc(x) return 1.0 + cos(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 > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_1D0, > #END CONST > array_y1_init, > array_y2_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y1, > array_x, > array_y2, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_m1, > array_y1_higher, > array_y1_higher_work, > array_y1_higher_work2, > array_y1_set_initial, > array_y2_higher, > array_y2_higher_work, > array_y2_higher_work2, > array_y2_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/mtest2postode.ode#################"); > omniout_str(ALWAYS,"diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(ALWAYS,"diff ( y2 , x , 1 ) = y1 - 1.0;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=64;"); > 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 := 10.0;"); > 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,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"glob_display_interval := 0.1;"); > omniout_str(ALWAYS,"glob_max_minutes := 10;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"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 + cos(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,""); > 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:=64; > 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_y1_init:= Array(0..(max_terms + 1),[]); > array_y2_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_y1:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_y2:= 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_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_y2_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y2_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_y1_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > 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_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_y1[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_y2[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 <=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 <= 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 <=2) 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 <=2) 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 <= 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_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_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_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_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_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_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_1D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1D0[1] := 1.0; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 0.1; > x_end := 10.0; > array_y1_init[0 + 1] := exact_soln_y1(x_start); > array_y2_init[0 + 1] := exact_soln_y2(x_start); > glob_look_poles := true; > glob_max_iter := 1000000; > glob_display_interval := 0.1; > glob_max_minutes := 10; > #END SECOND INPUT BLOCK > #BEGIN OVERRIDE BLOCK > glob_desired_digits_correct:=10; > glob_display_interval:=0.001; > glob_look_poles:=true; > glob_max_iter:=10000000; > glob_max_minutes:=3; > 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_y1_set_initial[1,1] := true; > array_y1_set_initial[1,2] := false; > array_y1_set_initial[1,3] := false; > array_y1_set_initial[1,4] := false; > array_y1_set_initial[1,5] := false; > array_y1_set_initial[1,6] := false; > array_y1_set_initial[1,7] := false; > array_y1_set_initial[1,8] := false; > array_y1_set_initial[1,9] := false; > array_y1_set_initial[1,10] := false; > array_y1_set_initial[1,11] := false; > array_y1_set_initial[1,12] := false; > array_y1_set_initial[1,13] := false; > array_y1_set_initial[1,14] := false; > array_y1_set_initial[1,15] := false; > array_y1_set_initial[1,16] := false; > array_y1_set_initial[1,17] := false; > array_y1_set_initial[1,18] := false; > array_y1_set_initial[1,19] := false; > array_y1_set_initial[1,20] := false; > array_y1_set_initial[1,21] := false; > array_y1_set_initial[1,22] := false; > array_y1_set_initial[1,23] := false; > array_y1_set_initial[1,24] := false; > array_y1_set_initial[1,25] := false; > array_y1_set_initial[1,26] := false; > array_y1_set_initial[1,27] := false; > array_y1_set_initial[1,28] := false; > array_y1_set_initial[1,29] := false; > array_y1_set_initial[1,30] := false; > array_y2_set_initial[2,1] := true; > array_y2_set_initial[2,2] := false; > array_y2_set_initial[2,3] := false; > array_y2_set_initial[2,4] := false; > array_y2_set_initial[2,5] := false; > array_y2_set_initial[2,6] := false; > array_y2_set_initial[2,7] := false; > array_y2_set_initial[2,8] := false; > array_y2_set_initial[2,9] := false; > array_y2_set_initial[2,10] := false; > array_y2_set_initial[2,11] := false; > array_y2_set_initial[2,12] := false; > array_y2_set_initial[2,13] := false; > array_y2_set_initial[2,14] := false; > array_y2_set_initial[2,15] := false; > array_y2_set_initial[2,16] := false; > array_y2_set_initial[2,17] := false; > array_y2_set_initial[2,18] := false; > array_y2_set_initial[2,19] := false; > array_y2_set_initial[2,20] := false; > array_y2_set_initial[2,21] := false; > array_y2_set_initial[2,22] := false; > array_y2_set_initial[2,23] := false; > array_y2_set_initial[2,24] := false; > array_y2_set_initial[2,25] := false; > array_y2_set_initial[2,26] := false; > array_y2_set_initial[2,27] := false; > array_y2_set_initial[2,28] := false; > array_y2_set_initial[2,29] := false; > array_y2_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 := 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 > ; > order_diff := 1; > #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 > ; > if (glob_subiter_method = 1 ) then # if number 3 > atomall(); > elif > (glob_subiter_method = 2 ) then # if number 4 > subiter := 1; > while (subiter <= 2) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > else > subiter := 1; > while (subiter <= 2 + 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 := 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 > ; > order_diff := 1; > #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 > ; > 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 <= 2) do # do number 3 > atomall(); > subiter := subiter + 1; > od;# end do number 3; > else > subiter := 1; > while (subiter <= 2 + 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_y1; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y1 > #BEFORE ADJUST SUBSERIES EQ =1 > 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 =1 > #BEFORE SUM SUBSERIES EQ =1 > 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 =1 > #BEFORE ADJUST SUBSERIES EQ =1 > 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 =1 > #BEFORE SUM SUBSERIES EQ =1 > 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 =1 > #BEFORE ADJUST SUBSERIES EQ =1 > 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 =1 > #BEFORE SUM SUBSERIES EQ =1 > 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 =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_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 > #Jump Series array_y2; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =2 > #sum_and_adjust array_y2 > #BEFORE ADJUST SUBSERIES EQ =2 > 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 =2 > #BEFORE SUM SUBSERIES EQ =2 > 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 =2 > #BEFORE ADJUST SUBSERIES EQ =2 > 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 =2 > #BEFORE SUM SUBSERIES EQ =2 > 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 =2 > #BEFORE ADJUST SUBSERIES EQ =2 > 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 =2 > #BEFORE SUM SUBSERIES EQ =2 > 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 =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_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 > ; > 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 ( y1 , x , 1 ) = m1 * y2 + 1.0;"); > omniout_str(INFO,"diff ( y2 , x , 1 ) = y1 - 1.0;"); > 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,"2013-01-28T16:32:34-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"mtest2") > ; > logitem_str(html_log_file,"diff ( y1 , x , 1 ) = m1 * y2 + 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,"mtest2 diffeq.mxt") > ; > logitem_str(html_log_file,"mtest2 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 ( y2 , x , 1 ) = y1 - 1.0;") > ; > 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_1, array_const_0D0, array_const_1D0, array_y1_init, array_y2_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y1, array_x, array_y2, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_m1, array_y1_higher, array_y1_higher_work, array_y1_higher_work2, array_y1_set_initial, array_y2_higher, array_y2_higher_work, array_y2_higher_work2, array_y2_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/mtest2postode.ode#################"); omniout_str(ALWAYS, "diff ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(ALWAYS, "diff ( y2 , x , 1 ) = y1 - 1.0;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=64;"); 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 := 10.0;"); 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, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "glob_display_interval := 0.1;"); omniout_str(ALWAYS, "glob_max_minutes := 10;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "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 + cos(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, ""); 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 := 64; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y1_init := Array(0 .. max_terms + 1, []); array_y2_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_y1 := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_y2 := 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_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_y2_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y2_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_y1_init[term] := 0.; term := term + 1 end do; 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_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_y1[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_y2[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 <= 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 <= max_terms do array_y2_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_y2_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_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 <= 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_y1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y1[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_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 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_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_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_1D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1D0[term] := 0.; term := term + 1 end do; array_const_1D0[1] := 1.0; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; array_m1[1] := -1.0; iiif := 0; while iiif <= glob_max_terms do jjjf := 0; while jjjf <= glob_max_terms do array_fact_1[iiif] := 0; array_fact_2[iiif, jjjf] := 0; jjjf := jjjf + 1 end do; iiif := iiif + 1 end do; x_start := 0.1; x_end := 10.0; array_y1_init[1] := exact_soln_y1(x_start); array_y2_init[1] := exact_soln_y2(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; glob_desired_digits_correct := 10; glob_display_interval := 0.001; glob_look_poles := true; glob_max_iter := 10000000; glob_max_minutes := 3; glob_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_y1_set_initial[1, 1] := true; array_y1_set_initial[1, 2] := false; array_y1_set_initial[1, 3] := false; array_y1_set_initial[1, 4] := false; array_y1_set_initial[1, 5] := false; array_y1_set_initial[1, 6] := false; array_y1_set_initial[1, 7] := false; array_y1_set_initial[1, 8] := false; array_y1_set_initial[1, 9] := false; array_y1_set_initial[1, 10] := false; array_y1_set_initial[1, 11] := false; array_y1_set_initial[1, 12] := false; array_y1_set_initial[1, 13] := false; array_y1_set_initial[1, 14] := false; array_y1_set_initial[1, 15] := false; array_y1_set_initial[1, 16] := false; array_y1_set_initial[1, 17] := false; array_y1_set_initial[1, 18] := false; array_y1_set_initial[1, 19] := false; array_y1_set_initial[1, 20] := false; array_y1_set_initial[1, 21] := false; array_y1_set_initial[1, 22] := false; array_y1_set_initial[1, 23] := false; array_y1_set_initial[1, 24] := false; array_y1_set_initial[1, 25] := false; array_y1_set_initial[1, 26] := false; array_y1_set_initial[1, 27] := false; array_y1_set_initial[1, 28] := false; array_y1_set_initial[1, 29] := false; array_y1_set_initial[1, 30] := false; array_y2_set_initial[2, 1] := true; array_y2_set_initial[2, 2] := false; array_y2_set_initial[2, 3] := false; array_y2_set_initial[2, 4] := false; array_y2_set_initial[2, 5] := false; array_y2_set_initial[2, 6] := false; array_y2_set_initial[2, 7] := false; array_y2_set_initial[2, 8] := false; array_y2_set_initial[2, 9] := false; array_y2_set_initial[2, 10] := false; array_y2_set_initial[2, 11] := false; array_y2_set_initial[2, 12] := false; array_y2_set_initial[2, 13] := false; array_y2_set_initial[2, 14] := false; array_y2_set_initial[2, 15] := false; array_y2_set_initial[2, 16] := false; array_y2_set_initial[2, 17] := false; array_y2_set_initial[2, 18] := false; array_y2_set_initial[2, 19] := false; array_y2_set_initial[2, 20] := false; array_y2_set_initial[2, 21] := false; array_y2_set_initial[2, 22] := false; array_y2_set_initial[2, 23] := false; array_y2_set_initial[2, 24] := false; array_y2_set_initial[2, 25] := false; array_y2_set_initial[2, 26] := false; array_y2_set_initial[2, 27] := false; array_y2_set_initial[2, 28] := false; array_y2_set_initial[2, 29] := false; array_y2_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 := 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; order_diff := 1; 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; if glob_subiter_method = 1 then atomall() elif glob_subiter_method = 2 then subiter := 1; while subiter <= 2 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 2 + 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 := 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; order_diff := 1; 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; 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 <= 2 do atomall(); subiter := subiter + 1 end do else subiter := 1; while subiter <= 2 + 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 := 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; order_diff := 2; 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 := 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 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 ( y1 , x , 1 ) = m1 * y2 + 1.0;"); omniout_str(INFO, "diff ( y2 , x , 1 ) = y1 - 1.0;"); omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "); prog_report(x_start, x_end); if glob_html_log then logstart(html_log_file); logitem_str(html_log_file, "2013-01-28T16:32:34-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "mtest2"); logitem_str(html_log_file, "diff ( y1 , x , 1 ) = m1 * y2 + 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, "mtest2 diffeq.mxt"); logitem_str(html_log_file, "mtest2 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 ( y2 , x , 1 ) = y1 - 1.0;"); 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/mtest2postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 + 1.0; diff ( y2 , x , 1 ) = y1 - 1.0; ! #BEGIN FIRST INPUT BLOCK Digits:=64; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 10.0; array_y1_init[0 + 1] := exact_soln_y1(x_start); array_y2_init[0 + 1] := exact_soln_y2(x_start); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y1 := proc(x) return(1.0 + cos(x)); end; exact_soln_y2 := proc(x) return(1.0 + sin(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=0.18 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 9.9 estimated_steps = 9900 step_error = 1.0101010101010101010101010101010e-14 est_needed_step_err = 1.0101010101010101010101010101010e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 2.4672040251049429538467757202073e-105 max_value3 = 2.4672040251049429538467757202073e-105 value3 = 2.4672040251049429538467757202073e-105 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y1[1] (analytic) = 1.9950041652780257660955619878039 y1[1] (numeric) = 1.9950041652780257660955619878039 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.0998334166468281523068141984106 y2[1] (numeric) = 1.0998334166468281523068141984106 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.3MB, time=0.41 x[1] = 0.101 y1[1] (analytic) = 1.994903834375976659378402999829 y1[1] (numeric) = 1.994903834375976659378402999829 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1008283707295679951297521195232 y2[1] (numeric) = 1.1008283707295679951297521195232 absolute error = 1e-63 relative error = 9.0840682034498752727340641765805e-62 % Correct digits = 64 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=0.64 x[1] = 0.102 y1[1] (analytic) = 1.9948025085701760853346856764599 y1[1] (numeric) = 1.9948025085701760853346856764599 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1018232239839455107486422960807 y2[1] (numeric) = 1.1018232239839455107486422960807 absolute error = 1e-63 relative error = 9.0758660575715986125085029519651e-62 % Correct digits = 64 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=0.86 x[1] = 0.103 y1[1] (analytic) = 1.9947001879619498413211671928266 y1[1] (numeric) = 1.9947001879619498413211671928266 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1028179754151075276904042105046 y2[1] (numeric) = 1.1028179754151075276904042105046 absolute error = 1e-63 relative error = 9.0676795472398225656926143590612e-62 % Correct digits = 64 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=1.09 x[1] = 0.104 y1[1] (analytic) = 1.9945968726536185270373744944846 y1[1] (numeric) = 1.9945968726536185270373744944846 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1038126240283026976889707546695 y2[1] (numeric) = 1.1038126240283026976889707546695 absolute error = 1e-63 relative error = 9.0595086360813277542859216396109e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.105 y1[1] (analytic) = 1.9944925627484974422050131246041 y1[1] (numeric) = 1.9944925627484974422050131246041 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1048071688288824904365536000268 y2[1] (numeric) = 1.1048071688288824904365536000268 absolute error = 1e-63 relative error = 9.0513532878322995682812912094535e-62 % Correct digits = 64 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=1.31 x[1] = 0.106 y1[1] (analytic) = 1.9943872583508964832526761118722 y1[1] (numeric) = 1.9943872583508964832526761118722 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1058016088223021882320906180187 y2[1] (numeric) = 1.1058016088223021882320906180187 absolute error = 1e-63 relative error = 9.0432134663379380598444600776018e-62 % Correct digits = 64 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=1.54 x[1] = 0.107 y1[1] (analytic) = 1.9942809595661200390059562343918 y1[1] (numeric) = 1.9942809595661200390059562343918 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1067959430141218805258807024165 y2[1] (numeric) = 1.1067959430141218805258807024165 absolute error = 1e-63 relative error = 9.0350891355520694664192954312664e-62 % Correct digits = 64 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=1.77 x[1] = 0.108 y1[1] (analytic) = 1.9941736665004668853830659694533 y1[1] (numeric) = 1.9941736665004668853830659694533 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1077901704100074583594114490316 y2[1] (numeric) = 1.1077901704100074583594114490316 absolute error = 1e-63 relative error = 9.0269802595367593550019973401987e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.109 y1[1] (analytic) = 1.9940653792612300790960704335539 y1[1] (numeric) = 1.9940653792612300790960704335539 absolute error = 1e-63 relative error = 5.0148807075246665300616373141044e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1087842900157316086993852530554 y2[1] (numeric) = 1.1087842900157316086993852530554 absolute error = 1e-63 relative error = 9.0188868024619273798690086914175e-62 % Correct digits = 64 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=2.00 x[1] = 0.11 y1[1] (analytic) = 1.9939560979566968503578396114198 y1[1] (numeric) = 1.9939560979566968503578396114198 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1097783008371748086649494900835 y2[1] (numeric) = 1.1097783008371748086649494900835 absolute error = 0 relative error = 0 % Correct digits = 64 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=2.22 x[1] = 0.111 y1[1] (analytic) = 1.993845822696148494594827167072 y1[1] (numeric) = 1.993845822696148494594827167072 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1107722018803263196471365536769 y2[1] (numeric) = 1.1107722018803263196471365536769 absolute error = 1e-63 relative error = 9.0027460023503466711559771426235e-62 % Correct digits = 64 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=2.45 x[1] = 0.112 y1[1] (analytic) = 1.9937345535898602631657841241467 y1[1] (numeric) = 1.9937345535898602631657841241467 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1117659921512851813195196301052 y2[1] (numeric) = 1.1117659921512851813195196301052 absolute error = 1e-63 relative error = 8.9946985881892629372417070016626e-62 % Correct digits = 64 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=2.69 x[1] = 0.113 y1[1] (analytic) = 1.9936222907491012530865166967485 y1[1] (numeric) = 1.9936222907491012530865166967485 absolute error = 1e-63 relative error = 5.0159952797490600140029164077156e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1127596706562612055390901996952 y2[1] (numeric) = 1.1127596706562612055390901996952 absolute error = 1e-63 relative error = 8.9866664507192280263655695638531e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.114 y1[1] (analytic) = 1.9935090342861342957607985460685 y1[1] (numeric) = 1.9935090342861342957607985460685 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1137532364015759701363633639937 y2[1] (numeric) = 1.1137532364015759701363633639937 absolute error = 2e-63 relative error = 1.7957299109287418662242208854180e-61 % Correct digits = 64 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=2.91 x[1] = 0.115 y1[1] (analytic) = 1.9933947843142158447175487318465 y1[1] (numeric) = 1.9933947843142158447175487318465 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1147466883936638125937172087197 y2[1] (numeric) = 1.1147466883936638125937172087197 absolute error = 2e-63 relative error = 1.7941295729543500666795906628722e-61 % Correct digits = 64 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=3.14 x[1] = 0.116 y1[1] (analytic) = 1.993279540947595862354387621489 y1[1] (numeric) = 1.993279540947595862354387621489 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1157400256390728236109725242508 y2[1] (numeric) = 1.1157400256390728236109725242508 absolute error = 1e-63 relative error = 8.9626613460175964436980872909613e-62 % Correct digits = 64 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=3.37 x[1] = 0.117 y1[1] (analytic) = 1.993163304301517705687684013279 y1[1] (numeric) = 1.993163304301517705687684013279 absolute error = 1e-63 relative error = 5.0171503651600643420268444514781e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1167332471444658405572193181459 y2[1] (numeric) = 1.1167332471444658405572193181459 absolute error = 1e-63 relative error = 8.9546899634003223936504479601263e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.118 y1[1] (analytic) = 1.99304607449221801110920772362 y1[1] (numeric) = 1.99304607449221801110920772362 absolute error = 1e-63 relative error = 5.0174454710224240252081801655506e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.117726351916621440807896667961 y2[1] (numeric) = 1.117726351916621440807896667961 absolute error = 2e-63 relative error = 1.7893467364086922348743631158975e-61 % Correct digits = 64 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=3.59 x[1] = 0.119 y1[1] (analytic) = 1.9929278516369265781495028816522 y1[1] (numeric) = 1.9929278516369265781495028816522 absolute error = 1e-63 relative error = 5.0177431118674581911520597290990e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1187193389624349349661325773612 y2[1] (numeric) = 1.1187193389624349349661325773612 absolute error = 2e-63 relative error = 1.7877584934349269026721740392140e-61 % Correct digits = 64 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=3.82 x[1] = 0.12 y1[1] (analytic) = 1.9928086358538662522480981678576 y1[1] (numeric) = 1.9928086358538662522480981678576 absolute error = 1e-63 relative error = 5.0180432882935908112451694551818e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.119712207288919359967350614271 y2[1] (numeric) = 1.119712207288919359967350614271 absolute error = 2e-63 relative error = 1.7861732568250369765302667137981e-61 % Correct digits = 64 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=4.05 x[1] = 0.121 y1[1] (analytic) = 1.9926884272622528065306712264356 y1[1] (numeric) = 1.9926884272622528065306712264356 absolute error = 1e-63 relative error = 5.0183460009043976231818861055706e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1207049559032064720661502265403 y2[1] (numeric) = 1.1207049559032064720661502265403 absolute error = 2e-63 relative error = 1.7845910196659618061977542682541e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=72.4MB, alloc=4.4MB, time=4.28 x[1] = 0.122 y1[1] (analytic) = 1.992567225982294822593285474272 y1[1] (numeric) = 1.992567225982294822593285474272 absolute error = 1e-63 relative error = 5.0186512503086087147802678879265e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1216975838125477397044677483272 y2[1] (numeric) = 1.1216975838125477397044677483272 absolute error = 2e-63 relative error = 1.7830117750652386065668196258541e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.123 y1[1] (analytic) = 1.9924450321351935702938185222573 y1[1] (numeric) = 1.9924450321351935702938185222573 absolute error = 1e-63 relative error = 5.0189590371201111301791268337272e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1226900900243153362600252291201 y2[1] (numeric) = 1.1226900900243153362600252291201 absolute error = 1e-63 relative error = 8.9071775807546488470350644036353e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.4MB, time=4.50 x[1] = 0.124 y1[1] (analytic) = 1.992321845843142886550702417515 y1[1] (numeric) = 1.992321845843142886550702417515 absolute error = 1e-63 relative error = 5.0192693619579514984353697086386e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1236824735460031326740743370329 y2[1] (numeric) = 1.1236824735460031326740743370329 absolute error = 1e-63 relative error = 8.8993111803577523780450147122278e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.4MB, time=4.73 x[1] = 0.125 y1[1] (analytic) = 1.9921976672293290531490969077883 y1[1] (numeric) = 1.9921976672293290531490969077883 absolute error = 1e-63 relative error = 5.0195822254463386845409625002608e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1246747333852276899574427087121 y2[1] (numeric) = 1.1246747333852276899574427087121 absolute error = 1e-63 relative error = 8.8914596399799830326059934059025e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.4MB, time=4.96 x[1] = 0.126 y1[1] (analytic) = 1.9920724964179306735546179218037 y1[1] (numeric) = 1.9920724964179306735546179218037 absolute error = 1e-63 relative error = 5.0198976282146464628790416395991e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1256668685497292515738902398917 y2[1] (numeric) = 1.1256668685497292515738902398917 absolute error = 2e-63 relative error = 1.7767245851134729529701676048465e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.127 y1[1] (analytic) = 1.9919463335341185487347444518721 y1[1] (numeric) = 1.9919463335341185487347444518721 absolute error = 1e-63 relative error = 5.0202155708974162131388634441528e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1266588780473727356997829333235 y2[1] (numeric) = 1.1266588780473727356997829333235 absolute error = 2e-63 relative error = 1.7751602006334217205632486644908e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.4MB, time=5.18 x[1] = 0.128 y1[1] (analytic) = 1.9918191787040555519880280173089 y1[1] (numeric) = 1.9918191787040555519880280173089 absolute error = 1e-63 relative error = 5.0205360541343596387094518241164e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1276507608861487273590920444897 y2[1] (numeric) = 1.1276507608861487273590920444897 absolute error = 1e-63 relative error = 8.8679938389272566493959020046179e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.4MB, time=5.41 x[1] = 0.129 y1[1] (analytic) = 1.9916910320548965027812298794554 y1[1] (numeric) = 1.9916910320548965027812298794554 absolute error = 1e-63 relative error = 5.0208590785703615075719730707935e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.128642516074174470432726390184 y2[1] (numeric) = 1.128642516074174470432726390184 absolute error = 1e-63 relative error = 8.8602013990963275507997329929038e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=95.3MB, alloc=4.4MB, time=5.64 x[1] = 0.13 y1[1] (analytic) = 1.9915618937147880395945121711518 y1[1] (numeric) = 1.9915618937147880395945121711518 absolute error = 1e-63 relative error = 5.0211846448554824157110355498792e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1296341426196948595412058107083 y2[1] (numeric) = 1.1296341426196948595412058107083 absolute error = 1e-63 relative error = 8.8524236500229634256218959208414e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.4MB, time=5.88 x[1] = 0.131 y1[1] (analytic) = 1.9914317638128684917748100954616 y1[1] (numeric) = 1.9914317638128684917748100954616 absolute error = 2e-63 relative error = 1.0043025507289923146130562707447e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1306256395310834317996839030976 y2[1] (numeric) = 1.1306256395310834317996839030976 absolute error = 1e-63 relative error = 8.8446605581555782476567628904849e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.132 y1[1] (analytic) = 1.991300642479267750397513340263 y1[1] (numeric) = 1.991300642479267750397513340263 absolute error = 2e-63 relative error = 1.0043686811198439224075612855997e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1316170058168433584443282704301 y2[1] (numeric) = 1.1316170058168433584443282704301 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=102.9MB, alloc=4.4MB, time=6.10 x[1] = 0.133 y1[1] (analytic) = 1.9911685298451071381365858470171 y1[1] (numeric) = 1.9911685298451071381365858470171 absolute error = 2e-63 relative error = 1.0044353202767722837174230762644e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1326082404856084363290666609268 y2[1] (numeric) = 1.1326082404856084363290666609268 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.4MB, time=6.33 x[1] = 0.134 y1[1] (analytic) = 1.9910354260424992781432540635797 y1[1] (numeric) = 1.9910354260424992781432540635797 absolute error = 3e-63 relative error = 1.5067537025009036957758461339828e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1335993425461440792917075001763 y2[1] (numeric) = 1.1335993425461440792917075001763 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=110.6MB, alloc=4.4MB, time=6.57 x[1] = 0.135 y1[1] (analytic) = 1.9909013312045479619333948023605 y1[1] (numeric) = 1.9909013312045479619333948023605 absolute error = 3e-63 relative error = 1.5068551881397962872411392676746e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1345903110073483093884434504466 y2[1] (numeric) = 1.1345903110073483093884434504466 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.136 y1[1] (analytic) = 1.990766245465348016283754816428 y1[1] (numeric) = 1.990766245465348016283754816428 absolute error = 3e-63 relative error = 1.5069574375361886577590048744559e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1355811448782527479957467626642 y2[1] (numeric) = 1.1355811448782527479957467626642 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.4MB, time=6.79 x[1] = 0.137 y1[1] (analytic) = 1.9906301689599851691371351973316 y1[1] (numeric) = 1.9906301689599851691371351973316 absolute error = 3e-63 relative error = 1.5070604508959920063598292056165e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1365718431680236067786653192461 y2[1] (numeric) = 1.1365718431680236067786653192461 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=7.02 x[1] = 0.138 y1[1] (analytic) = 1.9904931018245359145166746894439 y1[1] (numeric) = 1.9904931018245359145166746894439 absolute error = 3e-63 relative error = 1.5071642284266771566104470306466e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1375624048859626785245283995723 y2[1] (numeric) = 1.1375624048859626785245283995723 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=122.0MB, alloc=4.4MB, time=7.25 x[1] = 0.139 y1[1] (analytic) = 1.9903550441960673764493670065295 y1[1] (numeric) = 1.9903550441960673764493670065295 absolute error = 3e-63 relative error = 1.5072687703372754467196993788263e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1385528290415083278410713344755 y2[1] (numeric) = 1.1385528290415083278410713344755 absolute error = 1e-63 relative error = 8.7830794890901185026282676269477e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.14 y1[1] (analytic) = 1.9902159962126371718989482270114 y1[1] (numeric) = 1.9902159962126371718989482270114 absolute error = 2e-63 relative error = 1.0049160512255864176420440742915e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1395431146442364817179883517054 y2[1] (numeric) = 1.1395431146442364817179883517054 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 memory used=125.8MB, alloc=4.4MB, time=7.48 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.141 y1[1] (analytic) = 1.9900759580132932727082913350357 y1[1] (numeric) = 1.9900759580132932727082913350357 absolute error = 2e-63 relative error = 1.0049867654280965072886633500590e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1405332607038616199509230508977 y2[1] (numeric) = 1.1405332607038616199509230508977 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=129.7MB, alloc=4.4MB, time=7.71 x[1] = 0.142 y1[1] (analytic) = 1.9899349297380738665514459649294 y1[1] (numeric) = 1.9899349297380738665514459649294 absolute error = 2e-63 relative error = 1.0050579896415260940810671647313e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1415232662302377654269060841403 y2[1] (numeric) = 1.1415232662302377654269060841403 absolute error = 1e-63 relative error = 8.7602244262825787235899392612377e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.4MB, time=7.94 x[1] = 0.143 y1[1] (analytic) = 1.9897929115280072168954623969991 y1[1] (numeric) = 1.9897929115280072168954623969991 absolute error = 2e-63 relative error = 1.0051297240093968008949722131981e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1425131302333594742702497567803 y2[1] (numeric) = 1.1425131302333594742702497567803 absolute error = 1e-63 relative error = 8.7526346397064949109149541683058e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=137.3MB, alloc=4.4MB, time=8.17 x[1] = 0.144 y1[1] (analytic) = 1.9896499035251115219721398428361 y1[1] (numeric) = 1.9896499035251115219721398428361 absolute error = 2e-63 relative error = 1.0052019686762736289988453884375e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.143502851723362825847909402661 y2[1] (numeric) = 1.143502851723362825847909402661 absolute error = 1e-63 relative error = 8.7450590830876287421261578710037e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.145 y1[1] (analytic) = 1.989505905872394772759840048366 y1[1] (numeric) = 1.989505905872394772759840048366 absolute error = 2e-63 relative error = 1.0052747237877655788008134998467e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1444924297105264126333215285089 y2[1] (numeric) = 1.1444924297105264126333215285089 absolute error = 1e-63 relative error = 8.7374977242350784363357626545174e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=8.40 x[1] = 0.146 y1[1] (analytic) = 1.9893609187138546099755082328197 y1[1] (numeric) = 1.9893609187138546099755082328197 absolute error = 3e-63 relative error = 1.5080219842357894127529394462840e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1454818632052723299277288637166 y2[1] (numeric) = 1.1454818632052723299277288637166 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.4MB, time=8.63 x[1] = 0.147 y1[1] (analytic) = 1.9892149421944781800770443715908 y1[1] (numeric) = 1.9892149421944781800770443715908 absolute error = 3e-63 relative error = 1.5081326488983818959909414111533e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1464711512181671654380025942768 y2[1] (numeric) = 1.1464711512181671654380025942768 absolute error = 1e-63 relative error = 8.7224174715383264837752325102262e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=148.7MB, alloc=4.4MB, time=8.86 x[1] = 0.148 y1[1] (analytic) = 1.9890679764602419902761688205978 y1[1] (numeric) = 1.9890679764602419902761688205978 absolute error = 3e-63 relative error = 1.5082440798925429700085860960064e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1474602927599229887099722031298 y2[1] (numeric) = 1.1474602927599229887099722031298 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.149 y1[1] (analytic) = 1.9889200216581117625619272692718 y1[1] (numeric) = 1.9889200216581117625619272692718 absolute error = 4e-63 relative error = 2.0111417032572794383407513217834e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.148449286841398340416273483676 y2[1] (numeric) = 1.148449286841398340416273483676 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 memory used=152.5MB, alloc=4.4MB, time=9.10 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.15 y1[1] (analytic) = 1.9887710779360422867349809986543 y1[1] (numeric) = 1.9887710779360422867349809986543 absolute error = 4e-63 relative error = 2.0112923223678525647013342565552e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1494381324735992214977254386876 y2[1] (numeric) = 1.1494381324735992214977254386876 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.4MB, time=9.33 x[1] = 0.151 y1[1] (analytic) = 1.9886211454429772724528294103012 y1[1] (numeric) = 1.9886211454429772724528294103012 absolute error = 5e-63 relative error = 2.5143049551986032255688849646357e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1504268286676800821572469233262 y2[1] (numeric) = 1.1504268286676800821572469233262 absolute error = 1e-63 relative error = 8.6924259334086394746662982217736e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=9.56 x[1] = 0.152 y1[1] (analytic) = 1.9884702243288492002861127807586 y1[1] (numeric) = 1.9884702243288492002861127807586 absolute error = 5e-63 relative error = 2.5144957861702987570585300393180e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1514153744349448107053240384303 y2[1] (numeric) = 1.1514153744349448107053240384303 absolute error = 1e-63 relative error = 8.6849630654858012895523031095567e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.4MB, time=9.79 x[1] = 0.153 y1[1] (analytic) = 1.9883183147445791717861441852958 y1[1] (numeric) = 1.9883183147445791717861441852958 absolute error = 5e-63 relative error = 2.5146878962598620257451346217484e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1524037687868477222560394286897 y2[1] (numeric) = 1.1524037687868477222560394286897 absolute error = 1e-63 relative error = 8.6775141411826048135291199892127e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.154 y1[1] (analytic) = 1.9881654168420767585638205233501 y1[1] (numeric) = 1.9881654168420767585638205233501 absolute error = 4e-63 relative error = 2.0119050286839017900448227229627e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1533920107349945472726747897587 y2[1] (numeric) = 1.1533920107349945472726747897587 absolute error = 1e-63 relative error = 8.6700791291484142634673659295792e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=167.8MB, alloc=4.4MB, time=10.02 x[1] = 0.155 y1[1] (analytic) = 1.9880115307742398503800635667605 y1[1] (numeric) = 1.9880115307742398503800635667605 absolute error = 4e-63 relative error = 2.0120607642764437965362352832162e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1543800992911434199618980387873 y2[1] (numeric) = 1.1543800992911434199618980387873 absolute error = 1e-63 relative error = 8.6626579981243458048091217450626e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=171.6MB, alloc=4.4MB, time=10.25 x[1] = 0.156 y1[1] (analytic) = 1.9878566566949545022479429403361 y1[1] (numeric) = 1.9878566566949545022479429403361 absolute error = 4e-63 relative error = 2.0122175240997861830358481166766e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1553680334672058665155467542681 y2[1] (numeric) = 1.1553680334672058665155467542681 absolute error = 1e-63 relative error = 8.6552507169429501507433187635463e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.4MB, time=10.48 x[1] = 0.157 y1[1] (analytic) = 1.9877007947590947805466339326243 y1[1] (numeric) = 1.9877007947590947805466339326243 absolute error = 4e-63 relative error = 2.0123753084703031048038462972714e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1563558122752477931990196434947 y2[1] (numeric) = 1.1563558122752477931990196434947 absolute error = 1e-63 relative error = 8.6478572545278964488752565527173e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.158 y1[1] (analytic) = 1.9875439451225226081473640229073 y1[1] (numeric) = 1.9875439451225226081473640229073 absolute error = 4e-63 relative error = 2.0125341177064736905291665091358e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1573434347274904742852879493246 y2[1] (numeric) = 1.1573434347274904742852879493246 absolute error = 1e-63 relative error = 8.6404775798936574494375764891250e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=179.2MB, alloc=4.4MB, time=10.71 TOP MAIN SOLVE Loop x[1] = 0.159 y1[1] (analytic) = 1.9873861079420876085515029984672 y1[1] (numeric) = 1.9873861079420876085515029984672 absolute error = 4e-63 relative error = 2.0126939521288834127352722650333e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1583308998363115398335388623175 y2[1] (numeric) = 1.1583308998363115398335388623175 absolute error = 1e-63 relative error = 8.6331116621451959491209852127145e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=183.1MB, alloc=4.4MB, time=10.94 x[1] = 0.16 y1[1] (analytic) = 1.9872272833756269490409525240183 y1[1] (numeric) = 1.9872272833756269490409525240183 absolute error = 4e-63 relative error = 2.0128548120602254674677881917781e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.159318206614245963311463159686 y2[1] (numeric) = 1.159318206614245963311463159686 absolute error = 1e-63 relative error = 8.6257594704776525046338123046310e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=11.17 x[1] = 0.161 y1[1] (analytic) = 1.9870674715819651828409920129023 y1[1] (numeric) = 1.9870674715819651828409920129023 absolute error = 4e-63 relative error = 2.0130166978253021632742173039352e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1603053540739870490601994488555 y2[1] (numeric) = 1.1603053540739870490601994488555 absolute error = 1e-63 relative error = 8.6184209741760344101300990935716e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=190.7MB, alloc=4.4MB, time=11.40 x[1] = 0.162 y1[1] (analytic) = 1.9869066727209140902957386371875 y1[1] (numeric) = 1.9869066727209140902957386371875 absolute error = 4e-63 relative error = 2.0131796097510263194860361011060e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1612923412283874196009475507708 y2[1] (numeric) = 1.1612923412283874196009475507708 absolute error = 1e-63 relative error = 8.6110961426149059326763514638147e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.163 y1[1] (analytic) = 1.9867448869532725190563803011996 y1[1] (numeric) = 1.9867448869532725190563803011996 absolute error = 4e-63 relative error = 2.0133435481664226738135333551080e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1622791670904600027822637164169 y2[1] (numeric) = 1.1622791670904600027822637164169 absolute error = 1e-63 relative error = 8.6037849452580797999573500264331e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.4MB, time=11.64 x[1] = 0.164 y1[1] (analytic) = 1.9865821144408262232823413902376 y1[1] (numeric) = 1.9865821144408262232823413902376 absolute error = 4e-63 relative error = 2.0135085134026292992638296021662e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1632658306733790187670505293435 y2[1] (numeric) = 1.1632658306733790187670505293435 absolute error = 2e-63 relative error = 1.7192974703316619868902994272969e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=198.3MB, alloc=4.4MB, time=11.87 x[1] = 0.165 y1[1] (analytic) = 1.9864183553463477018555420932949 y1[1] (numeric) = 1.9864183553463477018555420932949 absolute error = 4e-63 relative error = 2.0136745057928990303925856226785e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1642523309904809668582545072829 y2[1] (numeric) = 1.1642523309904809668582545072829 absolute error = 1e-63 relative error = 8.5892033314569854283360930978781e-62 % Correct digits = 64 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=12.10 x[1] = 0.166 y1[1] (analytic) = 1.9862536098335960356079130855139 y1[1] (numeric) = 1.9862536098335960356079130855139 absolute error = 4e-63 relative error = 2.0138415256726008988999795780519e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1652386670552656121622845772482 y2[1] (numeric) = 1.1652386670552656121622845772482 absolute error = 1e-63 relative error = 8.5819328543838257534126745912305e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.167 y1[1] (analytic) = 1.9860878780673167235623283428443 y1[1] (numeric) = 1.9860878780673167235623283428443 absolute error = 4e-63 relative error = 2.0140095733792215785816039813562e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1662248378813969720891647607741 y2[1] (numeric) = 1.1662248378813969720891647607741 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=205.9MB, alloc=4.5MB, time=12.33 TOP MAIN SOLVE Loop x[1] = 0.168 y1[1] (analytic) = 1.985921160213241518187119847961 y1[1] (numeric) = 1.985921160213241518187119847961 absolute error = 4e-63 relative error = 2.0141786492523668396450053069613e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1672108424827043026884345692303 y2[1] (numeric) = 1.1672108424827043026884345692303 absolute error = 1e-63 relative error = 8.5674324089807105417486097568262e-62 % Correct digits = 64 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=12.56 x[1] = 0.169 y1[1] (analytic) = 1.9857534564380882596643389329105 y1[1] (numeric) = 1.9857534564380882596643389329105 absolute error = 4e-63 relative error = 2.0143487536337630124026607947545e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1681966798731830848198107733898 y2[1] (numeric) = 1.1681966798731830848198107733898 absolute error = 1e-63 relative error = 8.5602023805491199129408171575205e-62 % Correct digits = 64 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=12.79 x[1] = 0.17 y1[1] (analytic) = 1.9855847669095607091719299902125 y1[1] (numeric) = 1.9855847669095607091719299902125 absolute error = 4e-63 relative error = 2.0145198868672584603522588778180e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1691823490669960101576243766709 y2[1] (numeric) = 1.1691823490669960101576243766709 absolute error = 0 relative error = 0 % Correct digits = 64 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=13.02 x[1] = 0.171 y1[1] (analytic) = 1.9854150917963483811799832702289 y1[1] (numeric) = 1.9854150917963483811799832702289 absolute error = 3e-63 relative error = 1.5110190369741187969914162445849e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1701678490784739670280467877005 y2[1] (numeric) = 1.1701678490784739670280467877005 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.172 y1[1] (analytic) = 1.9852444312681263747612344685321 y1[1] (numeric) = 1.9852444312681263747612344685321 absolute error = 3e-63 relative error = 1.5111489309574197795183599901969e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1711531789221170260781193550527 y2[1] (numeric) = 1.1711531789221170260781193550527 absolute error = 0 relative error = 0 % Correct digits = 64 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=13.25 x[1] = 0.173 y1[1] (analytic) = 1.9850727854955552039159797927608 y1[1] (numeric) = 1.9850727854955552039159797927608 absolute error = 3e-63 relative error = 1.5112795973630143395244379373670e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1721383376125954257756005952159 y2[1] (numeric) = 1.1721383376125954257756005952159 absolute error = 0 relative error = 0 % Correct digits = 64 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=13.48 x[1] = 0.174 y1[1] (analytic) = 1.9849001546502806269115761840325 y1[1] (numeric) = 1.9849001546502806269115761840325 absolute error = 3e-63 relative error = 1.5114110364551660383884778027512e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1731233241647505577386456140236 y2[1] (numeric) = 1.1731233241647505577386456140236 absolute error = 0 relative error = 0 % Correct digits = 64 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=13.72 x[1] = 0.175 y1[1] (analytic) = 1.9847265389049334746366973533995 y1[1] (numeric) = 1.9847265389049334746366973533995 absolute error = 2e-63 relative error = 1.0076954989998237282169746102277e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1741081375935959518943323919514 y2[1] (numeric) = 1.1741081375935959518943323919514 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.176 y1[1] (analytic) = 1.9845519384331294779705172790773 y1[1] (numeric) = 1.9845519384331294779705172790773 absolute error = 2e-63 relative error = 1.0077841558427880130758536977372e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1750927769143182614650497748359 y2[1] (numeric) = 1.1750927769143182614650497748359 absolute error = 1e-63 relative error = 8.5099663587917268871913210300418e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=232.7MB, alloc=4.5MB, time=13.95 TOP MAIN SOLVE Loop x[1] = 0.177 y1[1] (analytic) = 1.9843763534094690941669937952475 y1[1] (numeric) = 1.9843763534094690941669937952475 absolute error = 2e-63 relative error = 1.0078733283450425299476859486854e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1760772411422782477817621837097 y2[1] (numeric) = 1.1760772411422782477817621837097 absolute error = 1e-63 relative error = 8.5028428832509228136720928355996e-62 % Correct digits = 64 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=14.18 x[1] = 0.178 y1[1] (analytic) = 1.9841997840095373322544258881378 y1[1] (numeric) = 1.9841997840095373322544258881378 absolute error = 3e-63 relative error = 1.5119445250305400107404323763309e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1770615292930117649231662305697 y2[1] (numeric) = 1.1770615292930117649231662305697 absolute error = 1e-63 relative error = 8.4957325943754044808364413206295e-62 % Correct digits = 64 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=14.41 x[1] = 0.179 y1[1] (analytic) = 1.9840222304099035774504592998064 y1[1] (numeric) = 1.9840222304099035774504592998064 absolute error = 3e-63 relative error = 1.5120798315753715459360388497431e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1780456403822307441797546010046 y2[1] (numeric) = 1.1780456403822307441797546010046 absolute error = 1e-63 relative error = 8.4886354630160021218708790809866e-62 % Correct digits = 64 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=14.64 x[1] = 0.18 y1[1] (analytic) = 1.9838436927881214145927160246115 y1[1] (numeric) = 1.9838436927881214145927160246115 absolute error = 2e-63 relative error = 1.0081439416172814942819152269074e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1790295734258241783418027396992 y2[1] (numeric) = 1.1790295734258241783418027396992 absolute error = 1e-63 relative error = 8.4815514601077358374588506352998e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.181 y1[1] (analytic) = 1.9836641713227284505852242677207 y1[1] (numeric) = 1.9836641713227284505852242677207 absolute error = 2e-63 relative error = 1.0082351785717733886488665456973e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1800133274398591058102940509108 y2[1] (numeric) = 1.1800133274398591058102940509108 absolute error = 1e-63 relative error = 8.4744805566695286655322818746253e-62 % Correct digits = 64 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=14.87 x[1] = 0.182 y1[1] (analytic) = 1.983483666193246135860826419216 y1[1] (numeric) = 1.983483666193246135860826419216 absolute error = 2e-63 relative error = 1.0083269320984389274459368173996e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1809969014405815945297995030755 y2[1] (numeric) = 1.1809969014405815945297995030755 absolute error = 0 relative error = 0 % Correct digits = 64 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=15.10 x[1] = 0.183 y1[1] (analytic) = 1.9833021775801795848597435813723 y1[1] (numeric) = 1.9833021775801795848597435813723 absolute error = 2e-63 relative error = 1.0084192023830646790021648775259e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1819802944444177257423277047451 y2[1] (numeric) = 1.1819802944444177257423277047451 absolute error = 1e-63 relative error = 8.4603779326967849433793680392729e-62 % Correct digits = 64 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=15.34 x[1] = 0.184 y1[1] (analytic) = 1.9831197056650173955244761705281 y1[1] (numeric) = 1.9831197056650173955244761705281 absolute error = 2e-63 relative error = 1.0085119896125090357632655742176e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1829635054679745775611616980887 y2[1] (numeric) = 1.1829635054679745775611616980887 absolute error = 1e-63 relative error = 8.4533461546170428176605657059201e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.185 y1[1] (analytic) = 1.9829362506302314678112210986348 y1[1] (numeric) = 1.9829362506302314678112210986348 absolute error = 2e-63 relative error = 1.0086052939747030219131627448655e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1839465335280412083636988962014 y2[1] (numeric) = 1.1839465335280412083636988962014 absolute error = 1e-63 relative error = 8.4463273609163827790070831790352e-62 % Correct digits = 64 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=15.56 x[1] = 0.186 y1[1] (analytic) = 1.9827518126592768212179870230509 y1[1] (numeric) = 1.9827518126592768212179870230509 absolute error = 1e-63 relative error = 5.0434955782932555289052230114821e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1849293776415896400023107714653 y2[1] (numeric) = 1.1849293776415896400023107714653 absolute error = 1e-63 relative error = 8.4393215230289785803631776948466e-62 % Correct digits = 64 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=15.79 x[1] = 0.187 y1[1] (analytic) = 1.9825663919365914113295901364508 y1[1] (numeric) = 1.9825663919365914113295901364508 absolute error = 1e-63 relative error = 5.0439672742721600851999774092830e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.185912036825775840832239084182 y2[1] (numeric) = 1.185912036825775840832239084182 absolute error = 2e-63 relative error = 1.6864657224942418494625750245813e-61 % Correct digits = 64 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=16.03 x[1] = 0.188 y1[1] (analytic) = 1.9823799886475959453797139518383 y1[1] (numeric) = 1.9823799886475959453797139518383 absolute error = 1e-63 relative error = 5.0444415587659978435164750833652e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1868945100979407085555456236643 y2[1] (numeric) = 1.1868945100979407085555456236643 absolute error = 1e-63 relative error = 8.4253486008413800719375812910399e-62 % Correct digits = 64 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=16.26 x[1] = 0.189 y1[1] (analytic) = 1.9821926029786936968302175205875 y1[1] (numeric) = 1.9821926029786936968302175205875 absolute error = 1e-63 relative error = 5.0449184327359174196225649700244e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.187876796475611052880132617919 y2[1] (numeric) = 1.187876796475611052880132617919 absolute error = 2e-63 relative error = 1.6836762919638889436390145724594e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.19 y1[1] (analytic) = 1.9820042351172703189678775041899 y1[1] (numeric) = 1.9820042351172703189678775041899 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1888588949765005779928511529813 y2[1] (numeric) = 1.1888588949765005779928511529813 absolute error = 1e-63 relative error = 8.4114271611667284337748517832377e-62 % Correct digits = 64 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=16.49 x[1] = 0.191 y1[1] (analytic) = 1.9818148852516936575187505029481 y1[1] (numeric) = 1.9818148852516936575187505029481 absolute error = 1e-63 relative error = 5.0458799529755192141646724860941e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1898408046185108648457151288751 y2[1] (numeric) = 1.1898408046185108648457151288751 absolute error = 1e-63 relative error = 8.4044856767256523634106192398850e-62 % Correct digits = 64 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=16.72 x[1] = 0.192 y1[1] (analytic) = 1.9816245535713135622803430272392 y1[1] (numeric) = 1.9816245535713135622803430272392 absolute error = 1e-63 relative error = 5.0463646011944339605314656951485e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1908225244197323532542384660668 y2[1] (numeric) = 1.1908225244197323532542384660668 absolute error = 1e-63 relative error = 8.3975569784194589586562508330541e-62 % Correct digits = 64 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=16.95 x[1] = 0.193 y1[1] (analytic) = 1.9814332402664616977717774791618 y1[1] (numeric) = 1.9814332402664616977717774791618 absolute error = 1e-63 relative error = 5.0468518427879040171790553445947e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1918040533984453238069134641578 y2[1] (numeric) = 1.1918040533984453238069134641578 absolute error = 1e-63 relative error = 8.3906410382519384791571352296920e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.194 y1[1] (analytic) = 1.9812409455284513529021434943852 y1[1] (numeric) = 1.9812409455284513529021434943852 absolute error = 1e-63 relative error = 5.0473416787440386062222919974954e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1927853905731208795848484034179 y2[1] (numeric) = 1.1927853905731208795848484034179 absolute error = 1e-63 relative error = 8.3837378283071565804740747663319e-62 % Correct digits = 64 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=17.18 x[1] = 0.195 y1[1] (analytic) = 1.9810476695495772496572249758333 y1[1] (numeric) = 1.9810476695495772496572249758333 absolute error = 1e-63 relative error = 5.0478341100563518106182957710301e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1937665349624219276905826696054 y2[1] (numeric) = 1.1937665349624219276905826696054 absolute error = 1e-63 relative error = 8.3768473207491829835421392736617e-62 % Correct digits = 64 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=17.41 x[1] = 0.196 y1[1] (analytic) = 1.9808534125231153508047941324606 y1[1] (numeric) = 1.9808534125231153508047941324606 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1947474855852041605850978733388 y2[1] (numeric) = 1.1947474855852041605850978733388 absolute error = 1e-63 relative error = 8.3699694878218212208719146502611e-62 % Correct digits = 64 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=17.64 x[1] = 0.197 y1[1] (analytic) = 1.980658174643322666618664817809 y1[1] (numeric) = 1.980658174643322666618664817809 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1957282414605170372320436270931 y2[1] (numeric) = 1.1957282414605170372320436270931 absolute error = 1e-63 relative error = 8.3631043018483394546254963254876e-62 % Correct digits = 64 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=17.88 x[1] = 0.198 y1[1] (analytic) = 1.9804619561054370606216984442784 y1[1] (numeric) = 1.9804619561054370606216984442784 absolute error = 1e-63 relative error = 5.0493269861466673912027805342671e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1967088016076047640481968356735 y2[1] (numeric) = 1.1967088016076047640481968356735 absolute error = 1e-63 relative error = 8.3562517352312023617243455969525e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.199 y1[1] (analytic) = 1.9802647571056770543479567300861 y1[1] (numeric) = 1.9802647571056770543479567300861 absolute error = 1e-63 relative error = 5.0498298089270842185846569460332e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1976891650459072756591735497928 y2[1] (numeric) = 1.1976891650459072756591735497928 absolute error = 1e-63 relative error = 8.3494117604518040811707547817558e-62 % Correct digits = 64 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=18.11 x[1] = 0.2 y1[1] (analytic) = 1.9800665778412416311241965167482 y1[1] (numeric) = 1.9800665778412416311241965167482 absolute error = 1e-63 relative error = 5.0503352321124744441427458016855e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1986693307950612154594126271184 y2[1] (numeric) = 1.1986693307950612154594126271184 absolute error = 1e-63 relative error = 8.3425843500702022187891560514118e-62 % Correct digits = 64 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=18.34 x[1] = 0.201 y1[1] (analytic) = 1.979867418510310038870902875571 y1[1] (numeric) = 1.979867418510310038870902875571 absolute error = 1e-63 relative error = 5.0508432567288725296492814890871e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.1996492978749009159754506408903 y2[1] (numeric) = 1.1996492978749009159754506408903 absolute error = 1e-63 relative error = 8.3357694767248529046178595911139e-62 % Correct digits = 64 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=18.57 x[1] = 0.202 y1[1] (analytic) = 1.9796672793120415919230577021024 y1[1] (numeric) = 1.9796672793120415919230577021024 absolute error = 1e-63 relative error = 5.0513538838077484295935114727974e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2006290653054593790315076729148 y2[1] (numeric) = 1.2006290653054593790315076729148 absolute error = 1e-63 relative error = 8.3289671131323468982060201917091e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.203 y1[1] (analytic) = 1.9794661604465754718708419777594 y1[1] (numeric) = 1.9794661604465754718708419777594 absolute error = 1e-63 relative error = 5.0518671143860120647701690627003e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2016086321069692557164038254306 y2[1] (numeric) = 1.2016086321069692557164038254306 absolute error = 1e-63 relative error = 8.3221772320871467370947083987644e-62 % Correct digits = 64 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=18.80 x[1] = 0.204 y1[1] (analytic) = 1.979264062115030527420470857911 y1[1] (numeric) = 1.979264062115030527420470857911 absolute error = 1e-63 relative error = 5.0523829495060178203690986772325e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2025879972998638261508264850126 y2[1] (numeric) = 1.2025879972998638261508264850126 absolute error = 1e-63 relative error = 8.3153998064613249237849037529034e-62 % Correct digits = 64 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=19.04 x[1] = 0.205 y1[1] (analytic) = 1.9790609845195050732753617255673 y1[1] (numeric) = 1.9790609845195050732753617255673 absolute error = 2e-63 relative error = 1.0105802780431138137199397852764e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2035671599047779790539685713266 y2[1] (numeric) = 1.2035671599047779790539685713266 absolute error = 1e-63 relative error = 8.3086348092043031465190342989922e-62 % Correct digits = 64 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=19.27 x[1] = 0.206 y1[1] (analytic) = 1.9788569278630766880378363294873 y1[1] (numeric) = 1.9788569278630766880378363294873 absolute error = 1e-63 relative error = 5.0534224375679227158840410350437e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2045461189425491911085582041808 y2[1] (numeric) = 1.2045461189425491911085582041808 absolute error = 1e-63 relative error = 8.3018822133425925292263592528837e-62 % Correct digits = 64 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=19.50 x[1] = 0.207 y1[1] (analytic) = 1.9786518923498020111315591049884 y1[1] (numeric) = 1.9786518923498020111315591049884 absolute error = 2e-63 relative error = 1.0107892185243587549305425424064e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2055248734342185061233004239223 y2[1] (numeric) = 1.2055248734342185061233004239223 absolute error = 1e-63 relative error = 8.2951419919795349060060313217877e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.208 y1[1] (analytic) = 1.9784458781847165387449147550011 y1[1] (numeric) = 1.9784458781847165387449147550011 absolute error = 1e-63 relative error = 5.0544723564413599597776305464141e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.206503422401031513991751802823 y2[1] (numeric) = 1.206503422401031513991751802823 absolute error = 1e-63 relative error = 8.2884141182950451155450825008493e-62 % Correct digits = 64 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=19.73 x[1] = 0.209 y1[1] (analytic) = 1.9782388855738344187955291479753 y1[1] (numeric) = 1.9782388855738344187955291479753 absolute error = 1e-63 relative error = 5.0550012300962663096762573831530e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2074817648644393294466489886571 y2[1] (numeric) = 1.2074817648644393294466489886571 absolute error = 1e-63 relative error = 8.2816985655453543108918530315471e-62 % Correct digits = 64 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=19.96 x[1] = 0.21 y1[1] (analytic) = 1.9780309147241482449161385680993 y1[1] (numeric) = 1.9780309147241482449161385680993 absolute error = 1e-63 relative error = 5.0555327146616298321218548967033e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2084598998460995706087124262276 y2[1] (numeric) = 1.2084598998460995706087124262276 absolute error = 2e-63 relative error = 1.6549990614125508560057056837875e-61 % Correct digits = 64 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=20.19 x[1] = 0.211 y1[1] (analytic) = 1.9778219658436288494620133319462 y1[1] (numeric) = 1.9778219658436288494620133319462 absolute error = 2e-63 relative error = 1.0112133622436088349589191493071e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2094378263678773373289467081163 y2[1] (numeric) = 1.2094378263678773373289467081163 absolute error = 2e-63 relative error = 1.6536608632510685545418929541927e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.212 y1[1] (analytic) = 1.9776120391412250955401427641051 y1[1] (numeric) = 1.9776120391412250955401427641051 absolute error = 2e-63 relative error = 1.0113207041703168641217108529835e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2104155434518461893234592124401 y2[1] (numeric) = 1.2104155434518461893234592124401 absolute error = 2e-63 relative error = 1.6523251133213539658109738089990e-61 % Correct digits = 64 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=20.42 x[1] = 0.213 y1[1] (analytic) = 1.9774011348268636680603895025966 y1[1] (numeric) = 1.9774011348268636680603895025966 absolute error = 2e-63 relative error = 1.0114285689307622615699579194095e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2113930501202891240998188928769 y2[1] (numeric) = 1.2113930501202891240998188928769 absolute error = 2e-63 relative error = 1.6509918063351970210824317720078e-61 % Correct digits = 64 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=20.65 x[1] = 0.214 y1[1] (analytic) = 1.9771892531114488638088220829006 y1[1] (numeric) = 1.9771892531114488638088220829006 absolute error = 1e-63 relative error = 5.0576847837217769751609305891541e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.212370345395699554673977294682 y2[1] (numeric) = 1.212370345395699554673977294682 absolute error = 2e-63 relative error = 1.6496609370193972386039914295831e-61 % Correct digits = 64 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=20.89 x[1] = 0.215 y1[1] (analytic) = 1.9769763942068623805434357272442 y1[1] (numeric) = 1.9769763942068623805434357272442 absolute error = 2e-63 relative error = 1.0116458678316057462815735007728e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2133474283007822870767740798571 y2[1] (numeric) = 1.2133474283007822870767740798571 absolute error = 2e-63 relative error = 1.6483325001157135850064361716106e-61 % Correct digits = 64 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=21.12 x[1] = 0.216 y1[1] (analytic) = 1.9767625583259631051124722434151 y1[1] (numeric) = 1.9767625583259631051124722434151 absolute error = 2e-63 relative error = 1.0117553024141228700928703672682e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2143242978584544976490495550473 y2[1] (numeric) = 1.2143242978584544976490495550473 absolute error = 2e-63 relative error = 1.6470064903808145334964121956092e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.217 y1[1] (analytic) = 1.9765477456825869005955509147589 y1[1] (numeric) = 1.9765477456825869005955509147589 absolute error = 2e-63 relative error = 1.0118652607146173581901004223682e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2153009530918467101243869071349 y2[1] (numeric) = 1.2153009530918467101243869071349 absolute error = 2e-63 relative error = 1.6456829025862283179576368120475e-61 % Correct digits = 64 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=21.35 x[1] = 0.218 y1[1] (analytic) = 1.976331956491546392467823240215 y1[1] (numeric) = 1.976331956491546392467823240215 absolute error = 3e-63 relative error = 1.5179636144353527122884231703399e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2162773930243037724985070638691 y2[1] (numeric) = 1.2162773930243037724985070638691 absolute error = 2e-63 relative error = 1.6443617315182933820853548044979e-61 % Correct digits = 64 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=21.58 x[1] = 0.219 y1[1] (analytic) = 1.9761151909686307537873653602166 y1[1] (numeric) = 1.9761151909686307537873653602166 absolute error = 2e-63 relative error = 1.0120867493658917975644486127470e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2172536166793858336843393102186 y2[1] (numeric) = 1.2172536166793858336843393102186 absolute error = 1e-63 relative error = 8.2152148598905451134164379831120e-62 % Correct digits = 64 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=21.82 x[1] = 0.22 y1[1] (analytic) = 1.9758974493306054894060229810447 y1[1] (numeric) = 1.9758974493306054894060229810447 absolute error = 2e-63 relative error = 1.0121982801676068625812844845242e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.218229623080869319951791005457 y2[1] (numeric) = 1.218229623080869319951791005457 absolute error = 1e-63 relative error = 8.2086330939074311312834820545944e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.221 y1[1] (analytic) = 1.9756787317952122192039245867742 y1[1] (numeric) = 1.9756787317952122192039245867742 absolute error = 2e-63 relative error = 1.0123103355891714823107367380511e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2192054112527479111512399612945 y2[1] (numeric) = 1.2192054112527479111512399612945 absolute error = 1e-63 relative error = 8.2020633337944934901976631121688e-62 % Correct digits = 64 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=22.05 x[1] = 0.222 y1[1] (analytic) = 1.9754590385811684603478797042797 y1[1] (numeric) = 1.9754590385811684603478797042797 absolute error = 3e-63 relative error = 1.5186343737882241014374965521155e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.220180980219233516719773257642 y2[1] (numeric) = 1.220180980219233516719773257642 absolute error = 1e-63 relative error = 8.1955055537771704129898813201985e-62 % Correct digits = 64 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=22.28 x[1] = 0.223 y1[1] (analytic) = 1.975238369908167408573879962885 y1[1] (numeric) = 1.975238369908167408573879962885 absolute error = 3e-63 relative error = 1.5188040318088169328694454765957e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.221156329004757251469196489853 y2[1] (numeric) = 1.221156329004757251469196489853 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.5MB, time=22.51 x[1] = 0.224 y1[1] (analytic) = 1.9750167259968777184939216661375 y1[1] (numeric) = 1.9750167259968777184939216661375 absolute error = 3e-63 relative error = 1.5189744777912036102524695630854e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2221314566339704111548376595133 y2[1] (numeric) = 1.2221314566339704111548376595133 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=377.6MB, alloc=4.5MB, time=22.75 x[1] = 0.225 y1[1] (analytic) = 1.9747941070689432829273695688655 y1[1] (numeric) = 1.9747941070689432829273695688655 absolute error = 3e-63 relative error = 1.5191457120827154196910822761719e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2231063621317454478241701400572 y2[1] (numeric) = 1.2231063621317454478241701400572 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.226 y1[1] (analytic) = 1.9745705133469830112570825281373 y1[1] (numeric) = 1.9745705133469830112570825281373 absolute error = 3e-63 relative error = 1.5193177350323485546966564428403e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2240810445231769449442793686679 y2[1] (numeric) = 1.2240810445231769449442793686679 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.5MB, time=22.97 x[1] = 0.227 y1[1] (analytic) = 1.9743459450545906068105226719777 y1[1] (numeric) = 1.9743459450545906068105226719777 absolute error = 3e-63 relative error = 1.5194905469907656375777250573221e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2250555028335825923071981370765 y2[1] (numeric) = 1.2250555028335825923071981370765 absolute error = 1e-63 relative error = 8.1628954580994587813416469006427e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.5MB, time=23.21 x[1] = 0.228 y1[1] (analytic) = 1.9741204024163343432660707047136 y1[1] (numeric) = 1.9741204024163343432660707047136 absolute error = 3e-63 relative error = 1.5196641483102972484391758614060e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2260297360885041607121355760063 y2[1] (numeric) = 1.2260297360885041607121355760063 absolute error = 1e-63 relative error = 8.1564090214514371820517977508299e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.5MB, time=23.44 x[1] = 0.229 y1[1] (analytic) = 1.9738938856577568400847709426156 y1[1] (numeric) = 1.9738938856577568400847709426156 absolute error = 3e-63 relative error = 1.5198385393449434618018567766031e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2270037433137084764236251511138 y2[1] (numeric) = 1.2270037433137084764236251511138 absolute error = 1e-63 relative error = 8.1499343865027610601654918276592e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.23 y1[1] (analytic) = 1.9736663950053748369677306480716 y1[1] (numeric) = 1.9736663950053748369677306480716 absolute error = 2e-63 relative error = 1.0133424803002502605694466155771e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2279775235351883954046172123601 y2[1] (numeric) = 1.2279775235351883954046172123601 absolute error = 1e-63 relative error = 8.1434715280547594680014245338871e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.5MB, time=23.67 x[1] = 0.231 y1[1] (analytic) = 1.9734379306866789673393992048733 y1[1] (numeric) = 1.9734379306866789673393992048733 absolute error = 3e-63 relative error = 1.5201896919839367393472927554989e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2289510757791637773235418638014 y2[1] (numeric) = 1.2289510757791637773235418638014 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.5MB, time=23.90 x[1] = 0.232 y1[1] (analytic) = 1.9732084929301335308569536513194 y1[1] (numeric) = 1.9732084929301335308569536513194 absolute error = 2e-63 relative error = 1.0135776362030969074304838438328e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2299243990720824593343681468164 y2[1] (numeric) = 1.2299243990720824593343681468164 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.5MB, time=24.13 x[1] = 0.233 y1[1] (analytic) = 1.9729780819651762649460180617296 y1[1] (numeric) = 1.9729780819651762649460180617296 absolute error = 3e-63 relative error = 1.5205440077731948274449272820353e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2308974924406212296286857567934 y2[1] (numeric) = 1.2308974924406212296286857567934 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.5MB, time=24.36 x[1] = 0.234 y1[1] (analytic) = 1.972746698022218115362945240631 y1[1] (numeric) = 1.972746698022218115362945240631 absolute error = 2e-63 relative error = 1.0138149018346373344452380491164e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2318703549116868007588357412751 y2[1] (numeric) = 1.2318703549116868007588357412751 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.235 y1[1] (analytic) = 1.9725143413326430057838901673172 y1[1] (numeric) = 1.9725143413326430057838901673172 absolute error = 3e-63 relative error = 1.5209014896049786220523118239982e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2328429855124167827311168565134 y2[1] (numeric) = 1.2328429855124167827311168565134 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.5MB, time=24.59 x[1] = 0.236 y1[1] (analytic) = 1.9722810121288076064209056016861 y1[1] (numeric) = 1.9722810121288076064209056016861 absolute error = 3e-63 relative error = 1.5210814186979928919409970007020e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2338153832701806558680944893074 y2[1] (numeric) = 1.2338153832701806558680944893074 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=411.9MB, alloc=4.5MB, time=24.82 x[1] = 0.237 y1[1] (analytic) = 1.9720467106440411016652912352422 y1[1] (numeric) = 1.9720467106440411016652912352422 absolute error = 3e-63 relative error = 1.5212621403984110777863412689140e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2347875472125807434390392818975 y2[1] (numeric) = 1.2347875472125807434390392818975 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.5MB, time=25.06 x[1] = 0.238 y1[1] (analytic) = 1.9718114371126449567584287438953 y1[1] (numeric) = 1.9718114371126449567584287438953 absolute error = 3e-63 relative error = 1.5214436550753291148821213450251e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2357594763674531840575228295574 y2[1] (numeric) = 1.2357594763674531840575228295574 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.239 y1[1] (analytic) = 1.9715751917698926834903360717 y1[1] (numeric) = 1.9715751917698926834903360717 absolute error = 2e-63 relative error = 1.0144173087330188138893513884029e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2367311697628689038451980533704 y2[1] (numeric) = 1.2367311697628689038451980533704 absolute error = 1e-63 relative error = 8.0858316216913996885635553740268e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=419.6MB, alloc=4.5MB, time=25.29 x[1] = 0.24 y1[1] (analytic) = 1.9713379748520296049261752469634 y1[1] (numeric) = 1.9713379748520296049261752469634 absolute error = 2e-63 relative error = 1.0145393765623176778542390773090e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2377026264271345883607920844898 y2[1] (numeric) = 1.2377026264271345883607920844898 absolute error = 1e-63 relative error = 8.0794851578096049324790437368210e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.5MB, time=25.52 x[1] = 0.241 y1[1] (analytic) = 1.9710997865962726191609490041922 y1[1] (numeric) = 1.9710997865962726191609490041922 absolute error = 2e-63 relative error = 1.0146619737875537709214063752816e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2386738453887936542933397309712 y2[1] (numeric) = 1.2386738453887936542933397309712 absolute error = 1e-63 relative error = 8.0731501978724758113465788051300e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=427.2MB, alloc=4.5MB, time=25.76 x[1] = 0.242 y1[1] (analytic) = 1.9708606272408099621026224571645 y1[1] (numeric) = 1.9708606272408099621026224571645 absolute error = 2e-63 relative error = 1.0147851006592916417158350712173e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2396448256766272209186858340254 y2[1] (numeric) = 1.2396448256766272209186858340254 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.243 y1[1] (analytic) = 1.9706204970248009692839070399837 y1[1] (numeric) = 1.9706204970248009692839070399837 absolute error = 2e-63 relative error = 1.0149087574292237147480708264353e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2406155663196550813182850572693 y2[1] (numeric) = 1.2406155663196550813182850572693 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 memory used=431.0MB, alloc=4.5MB, time=25.99 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.244 y1[1] (analytic) = 1.9703793961883758367029449043108 y1[1] (numeric) = 1.9703793961883758367029449043108 absolute error = 2e-63 relative error = 1.0150329443501713919804827026083e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2415860663471366733593278902572 y2[1] (numeric) = 1.2415860663471366733593278902572 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.5MB, time=26.22 x[1] = 0.245 y1[1] (analytic) = 1.9701373249726353806931329320715 y1[1] (numeric) = 1.9701373249726353806931329320715 absolute error = 2e-63 relative error = 1.0151576616760861596022071478151e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2425563247885720504352218862454 y2[1] (numeric) = 1.2425563247885720504352218862454 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=438.6MB, alloc=4.5MB, time=26.46 x[1] = 0.246 y1[1] (analytic) = 1.9698942836196507968223264937931 y1[1] (numeric) = 1.9698942836196507968223264937931 absolute error = 2e-63 relative error = 1.0152829096620507000211544638658e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2435263406737028519654573937924 y2[1] (numeric) = 1.2435263406737028519654573937924 absolute error = 1e-63 relative error = 8.0416471070345959937535564108912e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.5MB, time=26.69 x[1] = 0.247 y1[1] (analytic) = 1.9696502723724634178216640533481 y1[1] (numeric) = 1.9696502723724634178216640533481 absolute error = 3e-63 relative error = 1.5231130328464200136222467098124e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2444961130325132736538872824077 y2[1] (numeric) = 1.2444961130325132736538872824077 absolute error = 1e-63 relative error = 8.0353806615213939761327330866800e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.248 y1[1] (analytic) = 1.9694052914750844705442546902599 y1[1] (numeric) = 1.9694052914750844705442546902599 absolute error = 3e-63 relative error = 1.5233024979601837777726603455311e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2454656408952310375044504040511 y2[1] (numeric) = 1.2454656408952310375044504040511 absolute error = 1e-63 relative error = 8.0291255508358123816822147229312e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=446.3MB, alloc=4.5MB, time=26.91 x[1] = 0.249 y1[1] (analytic) = 1.9691593411724948319539715808613 y1[1] (numeric) = 1.9691593411724948319539715808613 absolute error = 3e-63 relative error = 1.5234927602220918354531462720655e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2464349232923283615933687748403 y2[1] (numeric) = 1.2464349232923283615933687748403 absolute error = 1e-63 relative error = 8.0228817510873643280029416368127e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.5MB, time=27.14 x[1] = 0.25 y1[1] (analytic) = 1.9689124217106447841445954494942 y1[1] (numeric) = 1.9689124217106447841445954494942 absolute error = 4e-63 relative error = 2.0315784266954296325647536656929e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2474039592545229295968487048494 y2[1] (numeric) = 1.2474039592545229295968487048494 absolute error = 2e-63 relative error = 1.6033298476904351319729627552716e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=453.9MB, alloc=4.5MB, time=27.38 x[1] = 0.251 y1[1] (analytic) = 1.9686645333364537683895529705847 y1[1] (numeric) = 1.9686645333364537683895529705847 absolute error = 4e-63 relative error = 2.0318342369996776460535474981511e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2483727478127788600733163483794 y2[1] (numeric) = 1.2483727478127788600733163483794 absolute error = 2e-63 relative error = 1.6020855978345534116759712823372e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.252 y1[1] (analytic) = 1.9684156762978101382224960718362 y1[1] (numeric) = 1.9684156762978101382224960718362 absolute error = 4e-63 relative error = 2.0320911117326534972861051086718e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2493412879983076754992183925443 y2[1] (numeric) = 1.2493412879983076754992183925443 absolute error = 2e-63 relative error = 1.6008435959115673977784047081222e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=457.7MB, alloc=4.5MB, time=27.61 TOP MAIN SOLVE Loop x[1] = 0.253 y1[1] (analytic) = 1.9681658508435709115489690579392 y1[1] (numeric) = 1.9681658508435709115489690579392 absolute error = 4e-63 relative error = 2.0323490514204224497176351504752e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2503095788425692710574188484538 y2[1] (numeric) = 1.2503095788425692710574188484538 absolute error = 2e-63 relative error = 1.5996038371964090967819263503975e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.5MB, time=27.84 x[1] = 0.254 y1[1] (analytic) = 1.9679150572235615217894114431114 y1[1] (numeric) = 1.9679150572235615217894114431114 absolute error = 4e-63 relative error = 2.0326080565913303287800516366753e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2512776193772728831772231566772 y2[1] (numeric) = 1.2512776193772728831772231566772 absolute error = 2e-63 relative error = 1.5983663169771597514849081394658e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.5MB, time=28.07 x[1] = 0.255 y1[1] (analytic) = 1.9676632956885755680537453494437 y1[1] (numeric) = 1.9676632956885755680537453494437 absolute error = 4e-63 relative error = 2.0328681277760058405410682795086e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.252245408634378057825061067043 y2[1] (numeric) = 1.252245408634378057825061067043 absolute error = 2e-63 relative error = 1.5971310305550069293960441021086e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.5MB, time=28.31 x[1] = 0.256 y1[1] (analytic) = 1.9674105664903745643477972964435 y1[1] (numeric) = 1.9674105664903745643477972964435 absolute error = 5e-63 relative error = 2.5414115818842036262120426525043e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2532129456460956185448600021744 y2[1] (numeric) = 1.2532129456460956185448600021744 absolute error = 2e-63 relative error = 1.5958979732442017759737544168630e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.257 y1[1] (analytic) = 1.967156869881687687811805175334 y1[1] (numeric) = 1.967156869881687687811805175334 absolute error = 4e-63 relative error = 2.0333914703206029758254021045806e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2541802294448886342471408644664 y2[1] (numeric) = 1.2541802294448886342471408644664 absolute error = 2e-63 relative error = 1.5946671403720164319709587306428e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=473.0MB, alloc=4.5MB, time=28.54 x[1] = 0.258 y1[1] (analytic) = 1.9669022061162115259912621695806 y1[1] (numeric) = 1.9669022061162115259912621695806 absolute error = 4e-63 relative error = 2.0336547427532174311900084834138e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2551472590634733867458684974902 y2[1] (numeric) = 1.2551472590634733867458684974902 absolute error = 2e-63 relative error = 1.5934385272787016141683434474845e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=476.8MB, alloc=4.5MB, time=28.77 x[1] = 0.259 y1[1] (analytic) = 1.9666465754486098231403503507787 y1[1] (numeric) = 1.9666465754486098231403503507787 absolute error = 4e-63 relative error = 2.0339190833449898946580274997391e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.256114033534820338042089265054 y2[1] (numeric) = 1.256114033534820338042089265054 absolute error = 2e-63 relative error = 1.5922121293174443587827743505565e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.5MB, time=29.00 x[1] = 0.26 y1[1] (analytic) = 1.9663899781345132255582176464501 y1[1] (numeric) = 1.9663899781345132255582176464501 absolute error = 4e-63 relative error = 2.0341844926379986272055523907798e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2570805518921550973533884643652 y2[1] (numeric) = 1.2570805518921550973533884643652 absolute error = 2e-63 relative error = 1.5909879418543259268410133148851e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.261 y1[1] (analytic) = 1.9661324144305190259583528434479 y1[1] (numeric) = 1.9661324144305190259583528434479 absolute error = 5e-63 relative error = 2.5430637139707736321930509182986e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2580468131689593878882005439147 y2[1] (numeric) = 1.2580468131689593878882005439147 absolute error = 3e-63 relative error = 2.3846489404024198062185791891622e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=484.4MB, alloc=4.5MB, time=29.23 TOP MAIN SOLVE Loop x[1] = 0.262 y1[1] (analytic) = 1.9658738845941909068713142575752 y1[1] (numeric) = 1.9658738845941909068713142575752 absolute error = 5e-63 relative error = 2.5433981493844067705629365431245e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2590128163989720133640053518554 y2[1] (numeric) = 1.2590128163989720133640053518554 absolute error = 3e-63 relative error = 2.3828192699265753926962764822421e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=488.2MB, alloc=4.5MB, time=29.46 x[1] = 0.263 y1[1] (analytic) = 1.9656143888840586830810686666655 y1[1] (numeric) = 1.9656143888840586830810686666655 absolute error = 5e-63 relative error = 2.5437339227246183233409629660903e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2599785606161898242684438967593 y2[1] (numeric) = 1.2599785606161898242684438967593 absolute error = 3e-63 relative error = 2.3809928944607251148605514413011e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=492.1MB, alloc=4.5MB, time=29.70 x[1] = 0.264 y1[1] (analytic) = 1.9653539275596180430951980707674 y1[1] (numeric) = 1.9653539275596180430951980707674 absolute error = 5e-63 relative error = 2.5440710346805091997442136319088e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2609440448548686838623873597158 y2[1] (numeric) = 1.2609440448548686838623873597158 absolute error = 3e-63 relative error = 2.3791698071307296157013476454546e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.5MB, time=29.93 x[1] = 0.265 y1[1] (analytic) = 1.9650925008813302896492328092017 y1[1] (numeric) = 1.9650925008813302896492328092017 absolute error = 4e-63 relative error = 2.0355275887552509007150199182737e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2619092681495244339239933547858 y2[1] (numeric) = 1.2619092681495244339239933547858 absolute error = 3e-63 relative error = 2.3773500010814787730436788397214e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.266 y1[1] (analytic) = 1.9648301091106220792453705301393 y1[1] (numeric) = 1.9648301091106220792453705301393 absolute error = 5e-63 relative error = 2.5447492772101521902099776737449e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2628742295349338602327836938334 y2[1] (numeric) = 1.2628742295349338602327836938334 absolute error = 3e-63 relative error = 2.3755334694768299932269674142742e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=499.7MB, alloc=4.5MB, time=30.16 x[1] = 0.267 y1[1] (analytic) = 1.9645667525098851607258414739579 y1[1] (numeric) = 1.9645667525098851607258414739579 absolute error = 5e-63 relative error = 2.5450904091765349023148004792941e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2638389280461356577927781717389 y2[1] (numeric) = 1.2638389280461356577927781717389 absolute error = 3e-63 relative error = 2.3737202054995467404239267372787e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=503.5MB, alloc=4.5MB, time=30.39 x[1] = 0.268 y1[1] (analytic) = 1.9643024313424761128811814969892 y1[1] (numeric) = 1.9643024313424761128811814969892 absolute error = 5e-63 relative error = 2.5454328825438642654647492715863e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2648033627184313957937191489395 y2[1] (numeric) = 1.2648033627184313957937191489395 absolute error = 3e-63 relative error = 2.3719102023512373005752950860677e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=507.3MB, alloc=4.5MB, time=30.62 x[1] = 0.269 y1[1] (analytic) = 1.9640371458727160810936752273647 y1[1] (numeric) = 1.9640371458727160810936752273647 absolute error = 5e-63 relative error = 2.5457766980156883625376401751925e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.265767532587386482309421970154 y2[1] (numeric) = 1.265767532587386482309421970154 absolute error = 3e-63 relative error = 2.3701034532522937789217377546025e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.27 y1[1] (analytic) = 1.9637708963658905130162327094922 y1[1] (numeric) = 1.9637708963658905130162327094922 absolute error = 5e-63 relative error = 2.5461218562984539555968223009324e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2667314366888311287322865210205 y2[1] (numeric) = 1.2667314366888311287322865210205 absolute error = 3e-63 relative error = 2.3682999514418313301192155511595e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=511.1MB, alloc=4.5MB, time=30.85 TOP MAIN SOLVE Loop x[1] = 0.271 y1[1] (analytic) = 1.9635036830882488932869638582654 y1[1] (numeric) = 1.9635036830882488932869638582654 absolute error = 5e-63 relative error = 2.5464683581015095990564891704676e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.267695074058861313943005488217 y2[1] (numeric) = 1.267695074058861313943005488217 absolute error = 3e-63 relative error = 2.3664996901776276199290725013613e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=514.9MB, alloc=4.5MB, time=31.08 x[1] = 0.272 y1[1] (analytic) = 1.9632355063070044772797160084106 y1[1] (numeric) = 1.9632355063070044772797160084106 absolute error = 5e-63 relative error = 2.5468162041371087664718388727432e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2686584437338397482145051534362 y2[1] (numeric) = 1.2686584437338397482145051534362 absolute error = 3e-63 relative error = 2.3647026627360625174790232993860e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.5MB, time=31.31 x[1] = 0.273 y1[1] (analytic) = 1.9629663662903340238908408084099 y1[1] (numeric) = 1.9629663662903340238908408084099 absolute error = 4e-63 relative error = 2.0377323160963303927823639733887e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2696215447503968368491548173544 y2[1] (numeric) = 1.2696215447503968368491548173544 absolute error = 3e-63 relative error = 2.3629088624120580170961220647309e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=522.6MB, alloc=4.5MB, time=31.54 x[1] = 0.274 y1[1] (analytic) = 1.9626962633073775273624576722117 y1[1] (numeric) = 1.9626962633073775273624576722117 absolute error = 5e-63 relative error = 2.5475159317694950194013923143370e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2705843761454316435482812164654 y2[1] (numeric) = 1.2705843761454316435482812164654 absolute error = 2e-63 relative error = 1.5740788550126789258117789483576e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.275 y1[1] (analytic) = 1.9624251976282379481424819654439 y1[1] (numeric) = 1.9624251976282379481424819654439 absolute error = 5e-63 relative error = 2.5478678148053419800685644789235e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2715469369561128535130245633453 y2[1] (numeric) = 1.2715469369561128535130245633453 absolute error = 3e-63 relative error = 2.3593309163887705558908549904110e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.5MB, time=31.77 x[1] = 0.276 y1[1] (analytic) = 1.9621531695239809427816870660775 y1[1] (numeric) = 1.9621531695239809427816870660775 absolute error = 5e-63 relative error = 2.5482210449518585643351420606979e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2725092262198797362755731095714 y2[1] (numeric) = 1.2725092262198797362755731095714 absolute error = 3e-63 relative error = 2.3575467573715047003767821811216e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=530.2MB, alloc=4.5MB, time=32.00 x[1] = 0.277 y1[1] (analytic) = 1.9618801792666345928680704024572 y1[1] (numeric) = 1.9618801792666345928680704024572 absolute error = 5e-63 relative error = 2.5485756229358702218607843606409e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2734712429744431082598134001431 y2[1] (numeric) = 1.2734712429744431082598134001431 absolute error = 2e-63 relative error = 1.5705105325571433949195079830698e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=534.0MB, alloc=4.5MB, time=32.23 x[1] = 0.278 y1[1] (analytic) = 1.9616062271291891329987945343101 y1[1] (numeric) = 1.9616062271291891329987945343101 absolute error = 5e-63 relative error = 2.5489315494871263696536400723670e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2744329862577862950704336588324 y2[1] (numeric) = 1.2744329862577862950704336588324 absolute error = 2e-63 relative error = 1.5693253561120940969490680864461e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.279 y1[1] (analytic) = 1.9613313133855966777899753047686 y1[1] (numeric) = 1.9613313133855966777899753047686 absolute error = 5e-63 relative error = 2.5492888253383036149091662967470e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2753944551081660935095180154421 y2[1] (numeric) = 1.2753944551081660935095180154421 absolute error = 2e-63 relative error = 1.5681423045158057966102042330944e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=537.8MB, alloc=4.5MB, time=32.45 x[1] = 0.28 y1[1] (analytic) = 1.9610554383107709479245900535965 y1[1] (numeric) = 1.9610554383107709479245900535965 absolute error = 5e-63 relative error = 2.5496474512250089916679290593291e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2763556485641137333196695584578 y2[1] (numeric) = 1.2763556485641137333196695584578 absolute error = 1e-63 relative error = 7.8348068669182383313778144673925e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=541.6MB, alloc=4.5MB, time=32.69 x[1] = 0.281 y1[1] (analytic) = 1.9607786021805869952387798436879 y1[1] (numeric) = 1.9607786021805869952387798436879 absolute error = 5e-63 relative error = 2.5500074278857832113171626867913e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2773165656644358386527004700495 y2[1] (numeric) = 1.2773165656644358386527004700495 absolute error = 1e-63 relative error = 7.8289127917151765455244621802331e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=545.5MB, alloc=4.5MB, time=32.92 x[1] = 0.282 y1[1] (analytic) = 1.9605008052718809268468206145129 y1[1] (numeric) = 1.9605008052718809268468206145129 absolute error = 5e-63 relative error = 2.5503687560621039269609798673796e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2782772054482153892629277748141 y2[1] (numeric) = 1.2782772054482153892629277748141 absolute error = 1e-63 relative error = 7.8230292751669602746422761883865e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.5MB, time=33.15 x[1] = 0.283 y1[1] (analytic) = 1.9602220478624496283050391375165 y1[1] (numeric) = 1.9602220478624496283050391375165 absolute error = 5e-63 relative error = 2.5507314364983890116842389829768e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2792375669548126814241135090431 y2[1] (numeric) = 1.2792375669548126814241135090431 absolute error = 1e-63 relative error = 7.8171562955305520134741600665039e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.284 y1[1] (analytic) = 1.9599423302310504858149506095312 y1[1] (numeric) = 1.9599423302310504858149506095312 absolute error = 5e-63 relative error = 2.5510954699419998507351903585939e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2801976492238662885690883936544 y2[1] (numeric) = 1.2801976492238662885690883936544 absolute error = 2e-63 relative error = 1.5622587662245136088519680073538e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=553.1MB, alloc=4.5MB, time=33.38 x[1] = 0.285 y1[1] (analytic) = 1.959661652657401107465895681044 y1[1] (numeric) = 1.959661652657401107465895681044 absolute error = 5e-63 relative error = 2.5514608571432446476521384301528e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2811574512952940216510983712452 y2[1] (numeric) = 1.2811574512952940216510983712452 absolute error = 2e-63 relative error = 1.5610883720638174210333724146702e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.5MB, time=33.61 x[1] = 0.286 y1[1] (analytic) = 1.9593800154221790435174556766546 y1[1] (numeric) = 1.9593800154221790435174556766546 absolute error = 5e-63 relative error = 2.5518275988553817443594724849202e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2821169722092938892259136459998 y2[1] (numeric) = 1.2821169722092938892259136459998 absolute error = 3e-63 relative error = 2.3398801084666379346366414634740e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=560.7MB, alloc=4.5MB, time=33.84 x[1] = 0.287 y1[1] (analytic) = 1.9590974188070215057219257252902 y1[1] (numeric) = 1.9590974188070215057219257252902 absolute error = 4e-63 relative error = 2.0417565566676983642068276658784e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2830762110063450572537401444227 y2[1] (numeric) = 1.2830762110063450572537401444227 absolute error = 3e-63 relative error = 2.3381307939978355862801908264671e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.288 y1[1] (analytic) = 1.9588138630945250856871264776764 y1[1] (numeric) = 1.9588138630945250856871264776764 absolute error = 4e-63 relative error = 2.0420521190721095322711276142949e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2840351667272088086199735950659 y2[1] (numeric) = 1.2840351667272088086199735950659 absolute error = 3e-63 relative error = 2.3363846082553166869828605826206e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=564.5MB, alloc=4.5MB, time=34.06 x[1] = 0.289 y1[1] (analytic) = 1.9585293485682454722798360482323 y1[1] (numeric) = 1.9585293485682454722798360482323 absolute error = 4e-63 relative error = 2.0423487669072419538686705999068e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2849938384129295023738367065761 y2[1] (numeric) = 1.2849938384129295023738367065761 absolute error = 3e-63 relative error = 2.3346415448226901370363467667159e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=568.3MB, alloc=4.5MB, time=34.29 x[1] = 0.29 y1[1] (analytic) = 1.9582438755126971680701247779319 y1[1] (numeric) = 1.9582438755126971680701247779319 absolute error = 4e-63 relative error = 2.0426465007851695303676584578209e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2859522251048355326839402055044 y2[1] (numeric) = 1.2859522251048355326839402055044 absolute error = 3e-63 relative error = 2.3329015973011198128668599195765e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=572.2MB, alloc=4.5MB, time=34.53 x[1] = 0.291 y1[1] (analytic) = 1.9579574442133532048168763737751 y1[1] (numeric) = 1.9579574442133532048168763737751 absolute error = 3e-63 relative error = 1.5322089909902547919335659896696e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.286910325844540287509808778398 y2[1] (numeric) = 1.286910325844540287509808778398 absolute error = 3e-63 relative error = 2.3311647593092684557800997038450e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=576.0MB, alloc=4.5MB, time=34.76 x[1] = 0.292 y1[1] (analytic) = 1.9576700549566448579947799393226 y1[1] (numeric) = 1.9576700549566448579947799393226 absolute error = 3e-63 relative error = 1.5324339218471822057345107037895e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.287868139673943106988413246727 y2[1] (numeric) = 1.287868139673943106988413246727 absolute error = 3e-63 relative error = 2.3294310244832417721955628822039e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.293 y1[1] (analytic) = 1.9573817080299613603630783692788 y1[1] (numeric) = 1.9573817080299613603630783692788 absolute error = 3e-63 relative error = 1.5326596686240614604509210100261e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2888256656352302415347505881947 y2[1] (numeric) = 1.2888256656352302415347505881947 absolute error = 3e-63 relative error = 2.3277003864765327444639146079393e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=579.8MB, alloc=4.5MB, time=34.98 x[1] = 0.294 y1[1] (analytic) = 1.9570924037216496145763595393507 y1[1] (numeric) = 1.9570924037216496145763595393507 absolute error = 3e-63 relative error = 1.5328862317870809504345334171237e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2897829027708758096555137039305 y2[1] (numeric) = 1.2897829027708758096555137039305 absolute error = 3e-63 relative error = 2.3259728389599661513655282612399e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.5MB, time=35.22 x[1] = 0.295 y1[1] (analytic) = 1.9568021423210139048376776805681 y1[1] (numeric) = 1.9568021423210139048376776805681 absolute error = 3e-63 relative error = 1.5331136118042174613047478024981e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2907398501236427554748931179768 y2[1] (numeric) = 1.2907398501236427554748931179768 absolute error = 3e-63 relative error = 2.3242483756216432973926509102756e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=587.4MB, alloc=4.5MB, time=35.44 x[1] = 0.296 y1[1] (analytic) = 1.9565109241183156075942932849186 y1[1] (numeric) = 1.9565109241183156075942932849186 absolute error = 3e-63 relative error = 1.5333418091452382466744909649301e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.291696506736583805971553083346 y2[1] (numeric) = 1.291696506736583805971553083346 absolute error = 3e-63 relative error = 2.3225269901668869499219800219625e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.297 y1[1] (analytic) = 1.9562187494047729012763208465347 y1[1] (numeric) = 1.9562187494047729012763208465347 absolute error = 3e-63 relative error = 1.5335708242817031134296608263261e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2926528716530424279258248577527 y2[1] (numeric) = 1.2926528716530424279258248577527 absolute error = 3e-63 relative error = 2.3208086763181864833887424306241e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=591.2MB, alloc=4.5MB, time=35.67 x[1] = 0.298 y1[1] (analytic) = 1.9559256184725604750785746997598 y1[1] (numeric) = 1.9559256184725604750785746997598 absolute error = 3e-63 relative error = 1.5338006576869665155782098744003e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2936089439166537845761602019079 y2[1] (numeric) = 1.2936089439166537845761602019079 absolute error = 3e-63 relative error = 2.3190934278151432295776489297913e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=595.1MB, alloc=4.5MB, time=35.90 x[1] = 0.299 y1[1] (analytic) = 1.9556315316148092367859041722236 y1[1] (numeric) = 1.9556315316148092367859041722236 absolute error = 3e-63 relative error = 1.5340313098361796566849982402912e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2945647225713456919838884439998 y2[1] (numeric) = 1.2945647225713456919838884439998 absolute error = 3e-63 relative error = 2.3173812384144160331503573186049e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=598.9MB, alloc=4.5MB, time=36.14 x[1] = 0.3 y1[1] (analytic) = 1.955336489125606019642310227568 y1[1] (numeric) = 1.955336489125606019642310227568 absolute error = 3e-63 relative error = 1.5342627812062926009086187991170e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.295520206661339575105320745685 y2[1] (numeric) = 1.295520206661339575105320745685 absolute error = 4e-63 relative error = 3.0875628025195560153777512590110e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=602.7MB, alloc=4.5MB, time=36.37 x[1] = 0.301 y1[1] (analytic) = 1.9550404912999932882641367286816 y1[1] (numeric) = 1.9550404912999932882641367286816 absolute error = 3e-63 relative error = 1.5344950722760563926564688682576e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2964753952311514235702454975658 y2[1] (numeric) = 1.2964753952311514235702454975658 absolute error = 4e-63 relative error = 3.0852880160420100243920718258134e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.302 y1[1] (analytic) = 1.9547435384339688435976304082261 y1[1] (numeric) = 1.9547435384339688435976304082261 absolute error = 2e-63 relative error = 1.0231521223506834565829436390901e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2974302873255927471658590657366 y2[1] (numeric) = 1.2974302873255927471658590657366 absolute error = 4e-63 relative error = 3.0830172835299257455176605211428e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=606.5MB, alloc=4.5MB, time=36.60 x[1] = 0.303 y1[1] (analytic) = 1.9544456308244855269211645888734 y1[1] (numeric) = 1.9544456308244855269211645888734 absolute error = 2e-63 relative error = 1.0233080769590389173249824062857e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2983848819897715310251764055494 y2[1] (numeric) = 1.2983848819897715310251764055494 absolute error = 4e-63 relative error = 3.0807505967491012128852078363260e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=610.3MB, alloc=4.5MB, time=36.83 x[1] = 0.304 y1[1] (analytic) = 1.9541467687694509228924226510006 y1[1] (numeric) = 1.9541467687694509228924226510006 absolute error = 2e-63 relative error = 1.0234645789985485036719934049461e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.2993391782690931905189663542671 y2[1] (numeric) = 1.2993391782690931905189663542671 absolute error = 3e-63 relative error = 2.3088659606157891840133979043570e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=614.1MB, alloc=4.5MB, time=37.06 x[1] = 0.305 y1[1] (analytic) = 1.9538469525677270616408382006383 y1[1] (numeric) = 1.9538469525677270616408382006383 absolute error = 2e-63 relative error = 1.0236216287931964388852652396623e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3002931752092615258502567107484 y2[1] (numeric) = 1.3002931752092615258502567107484 absolute error = 3e-63 relative error = 2.3071719956672061035679115874089e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.306 y1[1] (analytic) = 1.9535461825191301199055898452054 y1[1] (numeric) = 1.9535461825191301199055898452054 absolute error = 2e-63 relative error = 1.0237792266681747518077862344481e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3012468718562796763504545077395 y2[1] (numeric) = 1.3012468718562796763504545077395 absolute error = 3e-63 relative error = 2.3054810465906307148332559576093e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=617.9MB, alloc=4.5MB, time=37.29 x[1] = 0.307 y1[1] (analytic) = 1.9532444589244301212194494390107 y1[1] (numeric) = 1.9532444589244301212194494390107 absolute error = 1e-63 relative error = 5.1196868647494236233558366378331e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3022002672564510744761271807312 y2[1] (numeric) = 1.3022002672564510744761271807312 absolute error = 3e-63 relative error = 2.3037931072772463056698593442944e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=621.8MB, alloc=4.5MB, time=37.52 x[1] = 0.308 y1[1] (analytic) = 1.9529417820853506351387836146492 y1[1] (numeric) = 1.9529417820853506351387836146492 absolute error = 1e-63 relative error = 5.1204803398296917336268456405931e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.30315336045638039950549063668 y2[1] (numeric) = 1.30315336045638039950549063668 absolute error = 2e-63 relative error = 1.5347387810898751793492924172776e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=625.6MB, alloc=4.5MB, time=37.74 x[1] = 0.309 y1[1] (analytic) = 1.9526381523045684755200093702652 y1[1] (numeric) = 1.9526381523045684755200093702652 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3041061505029745309336505261852 y2[1] (numeric) = 1.3041061505029745309336505261852 absolute error = 2e-63 relative error = 1.5336174890584094422138900216280e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=629.4MB, alloc=4.5MB, time=37.98 x[1] = 0.31 y1[1] (analytic) = 1.9523335698857133978428054362022 y1[1] (numeric) = 1.9523335698857133978428054362022 absolute error = 1e-63 relative error = 5.1220755275879339656289087204656e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.305058636443443501565643323959 y2[1] (numeric) = 1.305058636443443501565643323959 absolute error = 2e-63 relative error = 1.5324981913842709791236870292999e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.311 y1[1] (analytic) = 1.9520280351333677955803820978034 y1[1] (numeric) = 1.9520280351333677955803820978034 absolute error = 1e-63 relative error = 5.1228772435723614773779875479121e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3060108173253014503063241246284 y2[1] (numeric) = 1.3060108173253014503063241246284 absolute error = 2e-63 relative error = 1.5313808840389103587729026405876e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=633.2MB, alloc=4.5MB, time=38.20 x[1] = 0.312 y1[1] (analytic) = 1.9517215483530663956171131040662 y1[1] (numeric) = 1.9517215483530663956171131040662 absolute error = 1e-63 relative error = 5.1236817098414287561152445723889e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3069626921963675746461483640617 y2[1] (numeric) = 1.3069626921963675746461483640617 absolute error = 2e-63 relative error = 1.5302655630046901620572396967394e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=637.0MB, alloc=4.5MB, time=38.43 x[1] = 0.313 y1[1] (analytic) = 1.9514141098512959527138342444951 y1[1] (numeric) = 1.9514141098512959527138342444951 absolute error = 1e-63 relative error = 5.1244889280635734687171030518764e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3079142601047670828418949805147 y2[1] (numeric) = 1.3079142601047670828418949805147 absolute error = 2e-63 relative error = 1.5291522242748505412285425810324e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=640.8MB, alloc=4.5MB, time=38.67 x[1] = 0.314 y1[1] (analytic) = 1.9511057199354949430211141288279 y1[1] (numeric) = 1.9511057199354949430211141288279 absolute error = 1e-63 relative error = 5.1252988999133310406023157435977e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3088655200989321457913788349557 y2[1] (numeric) = 1.3088655200989321457913788349557 absolute error = 2e-63 relative error = 1.5280408638534749074007722069920e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.315 y1[1] (analytic) = 1.9507963789140532566408036563392 y1[1] (numeric) = 1.9507963789140532566408036563392 absolute error = 1e-63 relative error = 5.1261116270713421292661180597211e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.309816471227602848601200515934 y2[1] (numeric) = 1.309816471227602848601200515934 absolute error = 1e-63 relative error = 7.6346573887772787293190850112657e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=644.6MB, alloc=4.5MB, time=38.89 x[1] = 0.316 y1[1] (analytic) = 1.9504860870963118892361716131461 y1[1] (numeric) = 1.9504860870963118892361716131461 absolute error = 1e-63 relative error = 5.1269271112243601273849199863454e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3107671125398281418465819613222 y2[1] (numeric) = 1.3107671125398281418465819613222 absolute error = 1e-63 relative error = 7.6291203100323027933212614033775e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=648.5MB, alloc=4.5MB, time=39.13 x[1] = 0.317 y1[1] (analytic) = 1.9501748447925626326909347873552 y1[1] (numeric) = 1.9501748447925626326909347873552 absolute error = 1e-63 relative error = 5.1277453540652586955497252956420e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3117174430849667925223366371764 y2[1] (numeric) = 1.3117174430849667925223366371764 absolute error = 1e-63 relative error = 7.6235930632144896695737007448016e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=652.3MB, alloc=4.5MB, time=39.36 x[1] = 0.318 y1[1] (analytic) = 1.9498626523140477648174919429938 y1[1] (numeric) = 1.9498626523140477648174919429938 absolute error = 1e-63 relative error = 5.1285663572930393246867186166925e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3126674619126883346840233228225 y2[1] (numeric) = 1.3126674619126883346840233228225 absolute error = 1e-63 relative error = 7.6180756285594187064816409857003e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=656.1MB, alloc=4.5MB, time=39.59 x[1] = 0.319 y1[1] (analytic) = 1.9495495099729597381146719444671 y1[1] (numeric) = 1.9495495099729597381146719444671 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3136171680729740197783328610944 y2[1] (numeric) = 1.3136171680729740197783328610944 absolute error = 1e-63 relative error = 7.6125679863560372661022887717638e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.32 y1[1] (analytic) = 1.9492354180824408675753072737661 y1[1] (numeric) = 1.9492354180824408675753072737661 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3145665606161177666617575434171 y2[1] (numeric) = 1.3145665606161177666617575434171 absolute error = 2e-63 relative error = 1.5214140233892985911200315312248e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=659.9MB, alloc=4.5MB, time=39.82 x[1] = 0.321 y1[1] (analytic) = 1.9489203769565830175439451328269 y1[1] (numeric) = 1.9489203769565830175439451328269 absolute error = 1e-63 relative error = 5.1310459463797655864086548699288e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3155156385927271113065931111435 y2[1] (numeric) = 1.3155156385927271113065931111435 absolute error = 2e-63 relative error = 1.5203164001451932963414160964007e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=663.7MB, alloc=4.5MB, time=40.05 x[1] = 0.322 y1[1] (analytic) = 1.9486043869104272876250092733052 y1[1] (numeric) = 1.9486043869104272876250092733052 absolute error = 1e-63 relative error = 5.1318780082679123275411788310757e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3164644010537241561933236672222 y2[1] (numeric) = 1.3164644010537241561933236672222 absolute error = 2e-63 relative error = 1.5192207236285010251117669252258e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=667.5MB, alloc=4.5MB, time=40.28 x[1] = 0.323 y1[1] (analytic) = 1.948287448259963697641726645576 y1[1] (numeric) = 1.948287448259963697641726645576 absolute error = 1e-63 relative error = 5.1327128391301328095434949482723e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3174128470503465193884401058919 y2[1] (numeric) = 1.3174128470503465193884401058919 absolute error = 2e-63 relative error = 1.5181269899393713670585627907506e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.324 y1[1] (analytic) = 1.9479695613221308716461339080079 y1[1] (numeric) = 1.9479695613221308716461339080079 absolute error = 1e-63 relative error = 5.1335504407023559860939506776209e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3183609756341482833067429826609 y2[1] (numeric) = 1.3183609756341482833067429826609 absolute error = 2e-63 relative error = 1.5170351951884609867607221180523e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=671.3MB, alloc=4.5MB, time=40.51 x[1] = 0.325 y1[1] (analytic) = 1.9476507264148157209804797864775 y1[1] (numeric) = 1.9476507264148157209804797864775 absolute error = 1e-63 relative error = 5.1343908147266924143531441751977e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3193087858570009431571810623496 y2[1] (numeric) = 1.3193087858570009431571810623496 absolute error = 2e-63 relative error = 1.5159453354969006878131466688213e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=675.2MB, alloc=4.5MB, time=40.73 x[1] = 0.326 y1[1] (analytic) = 1.9473309438568531263903402226954 y1[1] (numeric) = 1.9473309438568531263903402226954 absolute error = 1e-63 relative error = 5.1352339629514420570161916841406e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3202562767710943550712770994355 y2[1] (numeric) = 1.3202562767710943550712770994355 absolute error = 2e-63 relative error = 1.5148574069962625988889976402355e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=679.0MB, alloc=4.5MB, time=40.97 x[1] = 0.327 y1[1] (analytic) = 1.9470102139680256191897641982033 y1[1] (numeric) = 1.9470102139680256191897641982033 absolute error = 1e-63 relative error = 5.1360798871311021145895862127575e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3212034474289376839131927223542 y2[1] (numeric) = 1.3212034474289376839131927223542 absolute error = 2e-63 relative error = 1.5137714058285274812864560258483e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=682.8MB, alloc=4.5MB, time=41.20 x[1] = 0.328 y1[1] (analytic) = 1.9466885370690630614787690688678 y1[1] (numeric) = 1.9466885370690630614787690688678 absolute error = 1e-63 relative error = 5.1369285890263748879536475244040e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3221502968833603507704846117713 y2[1] (numeric) = 1.3221502968833603507704846117713 absolute error = 2e-63 relative error = 1.5126873281460521574491529715767e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.329 y1[1] (analytic) = 1.9463659134816423254135051923513 y1[1] (numeric) = 1.9463659134816423254135051923513 absolute error = 2e-63 relative error = 1.0275560140808351342543646780058e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3230968241875129801246044821467 y2[1] (numeric) = 1.3230968241875129801246044821467 absolute error = 2e-63 relative error = 1.5116051701115370599518769414536e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=686.6MB, alloc=4.5MB, time=41.43 x[1] = 0.33 y1[1] (analytic) = 1.9460423435283869715294105783662 y1[1] (numeric) = 1.9460423435283869715294105783662 absolute error = 2e-63 relative error = 1.0277268666075281350616725445343e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3240430283948683467001956961702 y2[1] (numeric) = 1.3240430283948683467001956961702 absolute error = 2e-63 relative error = 1.5105249278979939004455728596918e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=690.4MB, alloc=4.5MB, time=41.66 x[1] = 0.331 y1[1] (analytic) = 1.9457178275328669261176772385331 y1[1] (numeric) = 1.9457178275328669261176772385331 absolute error = 2e-63 relative error = 1.0278982757412269962432285246578e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3249889085592223219922396628531 y2[1] (numeric) = 1.3249889085592223219922396628531 absolute error = 2e-63 relative error = 1.5094465976887134580580440914117e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=694.2MB, alloc=4.5MB, time=41.89 x[1] = 0.332 y1[1] (analytic) = 1.9453923658195981576553518593481 y1[1] (numeric) = 1.9453923658195981576553518593481 absolute error = 2e-63 relative error = 1.0280702418390521049713387045234e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3259344637346948204701054922043 y2[1] (numeric) = 1.3259344637346948204701054922043 absolute error = 2e-63 relative error = 1.5083701756772334867491512372673e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.333 y1[1] (analytic) = 1.9450659587140423522893943681328 y1[1] (numeric) = 1.9450659587140423522893943681328 absolute error = 2e-63 relative error = 1.0282427652593728223429459015549e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3268796929757307454575567025243 y2[1] (numeric) = 1.3268796929757307454575567025243 absolute error = 2e-63 relative error = 1.5072956580673067411216723198650e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=698.1MB, alloc=4.5MB, time=42.12 x[1] = 0.334 y1[1] (analytic) = 1.9447386065426065883750189078808 y1[1] (numeric) = 1.9447386065426065883750189078808 absolute error = 2e-63 relative error = 1.0284158463618090924939509157173e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3278245953371009346877691003853 y2[1] (numeric) = 1.3278245953371009346877691003853 absolute error = 2e-63 relative error = 1.5062230410728691201913471045363e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=701.9MB, alloc=4.5MB, time=42.35 x[1] = 0.335 y1[1] (analytic) = 1.9444103096326430100686426826321 y1[1] (numeric) = 1.9444103096326430100686426826321 absolute error = 2e-63 relative error = 1.0285894855072330578575159981283e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3287691698739031055324142783622 y2[1] (numeric) = 1.3287691698739031055324142783622 absolute error = 2e-63 relative error = 1.5051523209180079286219740954841e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=705.7MB, alloc=4.5MB, time=42.59 x[1] = 0.336 y1[1] (analytic) = 1.9440810683124484999757690804005 y1[1] (numeric) = 1.9440810683124484999757690804005 absolute error = 2e-63 relative error = 1.0287636830577706805789706026807e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3297134156415627999038635015058 y2[1] (numeric) = 1.3297134156415627999038635015058 absolute error = 2e-63 relative error = 1.5040834938369302549337622519063e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.337 y1[1] (analytic) = 1.943750882911264350854132425743 y1[1] (numeric) = 1.943750882911264350854132425743 absolute error = 2e-63 relative error = 1.0289384393768033700999926731881e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3306573316958343288295670804365 y2[1] (numeric) = 1.3306573316958343288295670804365 absolute error = 2e-63 relative error = 1.5030165560739314661954607482877e-61 % Correct digits = 64 h = 0.001 memory used=709.5MB, alloc=4.5MB, time=42.82 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.338 y1[1] (analytic) = 1.9434197537592759363724326587988 y1[1] (numeric) = 1.9434197537592759363724326587988 absolute error = 2e-63 relative error = 1.0291137548289696169247920586904e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.331600917092801716697664656756 y2[1] (numeric) = 1.331600917092801716697664656756 absolute error = 2e-63 relative error = 1.5019515038833638187130992290765e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=713.3MB, alloc=4.5MB, time=43.05 x[1] = 0.339 y1[1] (analytic) = 1.9430876811876123809249891820363 y1[1] (numeric) = 1.9430876811876123809249891820363 absolute error = 2e-63 relative error = 1.0292896297801666325810761436946e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.332544170888879645172882155245 y2[1] (numeric) = 1.332544170888879645172882155245 absolute error = 2e-63 relative error = 1.5008883335296051842304680504275e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=717.1MB, alloc=4.5MB, time=43.28 x[1] = 0.34 y1[1] (analytic) = 1.9427546655283462285026440600266 y1[1] (numeric) = 1.9427546655283462285026440600266 absolute error = 2e-63 relative error = 1.0294660645975519957886314289830e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3334870921408143967817714870308 y2[1] (numeric) = 1.3334870921408143967817714870308 absolute error = 2e-63 relative error = 1.4998270412870278911587530301459e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=720.9MB, alloc=4.5MB, time=43.51 x[1] = 0.341 y1[1] (analytic) = 1.9424207071144931106202457013121 y1[1] (numeric) = 1.9424207071144931106202457013121 absolute error = 2e-63 relative error = 1.0296430596495453048484086029302e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.334429679905684798166349418561 y2[1] (numeric) = 1.334429679905684798166349418561 absolute error = 1e-63 relative error = 7.4938381171998384017750615526212e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.342 y1[1] (analytic) = 1.9420858062800114133010450948603 y1[1] (numeric) = 1.9420858062800114133010450948603 absolute error = 2e-63 relative error = 1.0298206153058298362650526037499e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3353719332409031630051923528251 y2[1] (numeric) = 1.3353719332409031630051923528251 absolute error = 2e-63 relative error = 1.4977100762826927749714441461204e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=724.8MB, alloc=4.5MB, time=43.74 x[1] = 0.343 y1[1] (analytic) = 1.9417499633598019431183376166772 y1[1] (numeric) = 1.9417499633598019431183376166772 absolute error = 2e-63 relative error = 1.0299987319373542096158732904701e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.336313851204216234601044101807 y2[1] (numeric) = 1.336313851204216234601044101807 absolute error = 2e-63 relative error = 1.4966543961193730638996438279217e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=728.6MB, alloc=4.5MB, time=43.97 x[1] = 0.344 y1[1] (analytic) = 1.9414131786897075922946843649114 y1[1] (numeric) = 1.9414131786897075922946843649114 absolute error = 2e-63 relative error = 1.0301774099163340586793066154481e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3372554328537061281339940626387 y2[1] (numeric) = 1.3372554328537061281339940626387 absolute error = 2e-63 relative error = 1.4956005792640493983362856146134e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=732.4MB, alloc=4.5MB, time=44.20 x[1] = 0.345 y1[1] (analytic) = 1.9410754526065130028590479241997 y1[1] (numeric) = 1.9410754526065130028590479241997 absolute error = 3e-63 relative error = 1.5455349744243805632539559369138e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.338196677247791272579283544357 y2[1] (numeric) = 1.338196677247791272579283544357 absolute error = 1e-63 relative error = 7.4727431102030150049944576410941e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.346 y1[1] (analytic) = 1.9407367854479442298621784020909 y1[1] (numeric) = 1.9407367854479442298621784020909 absolute error = 3e-63 relative error = 1.5458046771178017911332128061013e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3391375834452273522887983275334 y2[1] (numeric) = 1.3391375834452273522887983275334 absolute error = 1e-63 relative error = 7.4674926039136249376128162608871e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=736.2MB, alloc=4.5MB, time=44.43 TOP MAIN SOLVE Loop x[1] = 0.347 y1[1] (analytic) = 1.9403971775526684036505865221322 y1[1] (numeric) = 1.9403971775526684036505865221322 absolute error = 3e-63 relative error = 1.5460752235188049205732988661498e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3400781505051082482353058753646 y2[1] (numeric) = 1.3400781505051082482353058753646 absolute error = 2e-63 relative error = 1.4924502718338859995707562115486e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=740.0MB, alloc=4.5MB, time=44.66 x[1] = 0.348 y1[1] (analytic) = 1.9400566292602933911994414996185 y1[1] (numeric) = 1.9400566292602933911994414996185 absolute error = 3e-63 relative error = 1.5463466141933407428499557065045e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3410183774868669789184959520651 y2[1] (numeric) = 1.3410183774868669789184959520651 absolute error = 2e-63 relative error = 1.4914038715473059491953662836072e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=743.8MB, alloc=4.5MB, time=44.89 x[1] = 0.349 y1[1] (analytic) = 1.9397151409113674565047323670778 y1[1] (numeric) = 1.9397151409113674565047323670778 absolute error = 3e-63 relative error = 1.5466188497092732455334574073739e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3419582634502766409318837425973 y2[1] (numeric) = 1.3419582634502766409318837425973 absolute error = 2e-63 relative error = 1.4903593162859238739835795483690e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=747.6MB, alloc=4.5MB, time=45.13 x[1] = 0.35 y1[1] (analytic) = 1.9393727128473789200350323573037 y1[1] (numeric) = 1.9393727128473789200350323573037 absolute error = 3e-63 relative error = 1.5468919306363821759323776069646e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3428978074554513491896349069176 y2[1] (numeric) = 1.3428978074554513491896349069176 absolute error = 2e-63 relative error = 1.4893166024223679025311041078695e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.351 y1[1] (analytic) = 1.9390293454107558172432068921403 y1[1] (numeric) = 1.9390293454107558172432068921403 absolute error = 3e-63 relative error = 1.5471658575463656140659158394399e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3438370085628471768123723419896 y2[1] (numeric) = 1.3438370085628471768123723419896 absolute error = 2e-63 relative error = 1.4882757263389253297835603452322e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=751.5MB, alloc=4.5MB, time=45.35 x[1] = 0.352 y1[1] (analytic) = 1.9386850389448655561384066652863 y1[1] (numeric) = 1.9386850389448655561384066652863 absolute error = 3e-63 relative error = 1.5474406310128425551850179278516e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3447758658332630946710247658361 y2[1] (numeric) = 1.3447758658332630946710247658361 absolute error = 1e-63 relative error = 7.4361834221375640089497606210574e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=755.3MB, alloc=4.5MB, time=45.58 x[1] = 0.353 y1[1] (analytic) = 1.9383397937940145739186882470937 y1[1] (numeric) = 1.9383397937940145739186882470937 absolute error = 3e-63 relative error = 1.5477162516113555018626088068172e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3457143783278419105877775798611 y2[1] (numeric) = 1.3457143783278419105877775798611 absolute error = 1e-63 relative error = 7.4309973654482330470713820554171e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=759.1MB, alloc=4.5MB, time=45.82 x[1] = 0.354 y1[1] (analytic) = 1.9379936103034479926646055787134 y1[1] (numeric) = 1.9379936103034479926646055787134 absolute error = 3e-63 relative error = 1.5479927199193730656733399878736e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3466525451080712081931868085672 y2[1] (numeric) = 1.3466525451080712081931868085672 absolute error = 1e-63 relative error = 7.4258204436820654527672634859767e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.355 y1[1] (analytic) = 1.937646488819349274094116661967 y1[1] (numeric) = 1.937646488819349274094116661967 absolute error = 2e-63 relative error = 1.0321800243441950523222253115787e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3475903652357842854385172596347 y2[1] (numeric) = 1.3475903652357842854385172596347 absolute error = 1e-63 relative error = 7.4206526389421957020593323774096e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=762.9MB, alloc=4.5MB, time=46.05 TOP MAIN SOLVE Loop x[1] = 0.356 y1[1] (analytic) = 1.9372984296888398733791506900099 y1[1] (numeric) = 1.9372984296888398733791506900099 absolute error = 3e-63 relative error = 1.5485482019834427133705242136050e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3485278377731610927623663921003 y2[1] (numeric) = 1.3485278377731610927623663921003 absolute error = 1e-63 relative error = 7.4154939333793141469246147036120e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=766.7MB, alloc=4.5MB, time=46.27 x[1] = 0.357 y1[1] (analytic) = 1.9369494332599788920241818021889 y1[1] (numeric) = 1.9369494332599788920241818021889 absolute error = 2e-63 relative error = 1.0325514779360574101307746385946e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3494649617827291709106357260919 y2[1] (numeric) = 1.3494649617827291709106357260919 absolute error = 1e-63 relative error = 7.4103443091915206405304905189074e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=770.5MB, alloc=4.5MB, time=46.50 x[1] = 0.358 y1[1] (analytic) = 1.9365994998817627298071565844923 y1[1] (numeric) = 1.9365994998817627298071565844923 absolute error = 2e-63 relative error = 1.0327380545756146938989132361893e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3504017363273645884089119742243 y2[1] (numeric) = 1.3504017363273645884089119742243 absolute error = 2e-63 relative error = 1.4810407497248357392140546966743e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=774.3MB, alloc=4.5MB, time=46.73 x[1] = 0.359 y1[1] (analytic) = 1.9362486299041247357831233746357 y1[1] (numeric) = 1.9362486299041247357831233746357 absolute error = 1e-63 relative error = 5.1646259914952966972614255545853e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3513381604702928786863204223547 y2[1] (numeric) = 1.3513381604702928786863204223547 absolute error = 1e-63 relative error = 7.4000722339697701769922982988877e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.36 y1[1] (analytic) = 1.9358968236779348583509123681247 y1[1] (numeric) = 1.9358968236779348583509123681247 absolute error = 2e-63 relative error = 1.0331129094991116404338563250505e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3522742332750899768499134359207 y2[1] (numeric) = 1.3522742332750899768499134359207 absolute error = 1e-63 relative error = 7.3949497475677505164259935311848e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=778.2MB, alloc=4.5MB, time=46.96 x[1] = 0.361 y1[1] (analytic) = 1.935544081554999294383216458587 y1[1] (numeric) = 1.935544081554999294383216458587 absolute error = 2e-63 relative error = 1.0333011885697882844851770700870e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.353209953805683156108657317552 y2[1] (numeric) = 1.353209953805683156108657317552 absolute error = 1e-63 relative error = 7.3898362718044044636186575628954e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=782.0MB, alloc=4.5MB, time=47.19 x[1] = 0.362 y1[1] (analytic) = 1.9351904038880601374204236822605 y1[1] (numeric) = 1.9351904038880601374204236822605 absolute error = 2e-63 relative error = 1.0334900359064041393400399859078e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3541453211263519638460810920458 y2[1] (numeric) = 1.3541453211263519638460810920458 absolute error = 1e-63 relative error = 7.3847317891127023552068427466706e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=785.8MB, alloc=4.5MB, time=47.42 x[1] = 0.363 y1[1] (analytic) = 1.9348357910307950249285530727796 y1[1] (numeric) = 1.9348357910307950249285530727796 absolute error = 2e-63 relative error = 1.0336794519055740454361042829195e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3550803343017291573406511461367 y2[1] (numeric) = 1.3550803343017291573406511461367 absolute error = 1e-63 relative error = 7.3796362819721569091563875066927e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.364 y1[1] (analytic) = 1.9344802433378167846216466682912 y1[1] (numeric) = 1.9344802433378167846216466682912 absolute error = 1e-63 relative error = 5.1693471848260730752932765618677e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3560149923968016391329360027619 y2[1] (numeric) = 1.3560149923968016391329360027619 absolute error = 1e-63 relative error = 7.3745497329086805392152184708666e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=789.6MB, alloc=4.5MB, time=47.65 TOP MAIN SOLVE Loop x[1] = 0.365 y1[1] (analytic) = 1.9341237611646730798489713484808 y1[1] (numeric) = 1.9341237611646730798489713484808 absolute error = 2e-63 relative error = 1.0340599914845460380307269890469e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3569492944769113920386258627375 y2[1] (numeric) = 1.3569492944769113920386258627375 absolute error = 1e-63 relative error = 7.3694721244944431877330750019495e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=793.4MB, alloc=4.5MB, time=47.88 x[1] = 0.366 y1[1] (analytic) = 1.9337663448678460540473851142766 y1[1] (numeric) = 1.9337663448678460540473851142766 absolute error = 2e-63 relative error = 1.0342511158640938939638724038741e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.357883239607756413806471900903 y2[1] (numeric) = 1.357883239607756413806471900903 absolute error = 2e-63 relative error = 1.4728806878695461349424574058976e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=797.2MB, alloc=4.5MB, time=48.11 x[1] = 0.367 y1[1] (analytic) = 1.9334079948047519742592233578357 y1[1] (numeric) = 1.9334079948047519742592233578357 absolute error = 2e-63 relative error = 1.0344428105056909710839260727490e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3588168268553916514202106588722 y2[1] (numeric) = 1.3588168268553916514202106588722 absolute error = 2e-63 relative error = 1.4718687320265607121927328318846e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=801.1MB, alloc=4.5MB, time=48.34 x[1] = 0.368 y1[1] (analytic) = 1.9330487113337408737160616048967 y1[1] (numeric) = 1.9330487113337408737160616048967 absolute error = 2e-63 relative error = 1.0346350758124790916461595523606e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3597500552862299350435392325449 y2[1] (numeric) = 1.3597500552862299350435392325449 absolute error = 2e-63 relative error = 1.4708585539119513046502859893081e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.369 y1[1] (analytic) = 1.9326884948140961934887121457059 y1[1] (numeric) = 1.9326884948140961934887121457059 absolute error = 2e-63 relative error = 1.0348279121889109439542906153963e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3606829239670429116072073094816 y2[1] (numeric) = 1.3606829239670429116072073094816 absolute error = 2e-63 relative error = 1.4698501500768756478641920493443e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=804.9MB, alloc=4.5MB, time=48.57 x[1] = 0.37 y1[1] (analytic) = 1.9323273456060344232038129044909 y1[1] (numeric) = 1.9323273456060344232038129044909 absolute error = 2e-63 relative error = 1.0350213200407519209978648165456e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3616154319649619780372924691272 y2[1] (numeric) = 1.3616154319649619780372924691272 absolute error = 2e-63 relative error = 1.4688435170816023561425718019010e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=808.7MB, alloc=4.5MB, time=48.80 x[1] = 0.371 y1[1] (analytic) = 1.9319652640707047408273678308622 y1[1] (numeric) = 1.9319652640707047408273678308622 absolute error = 2e-63 relative error = 1.0352152997750819657225870982764e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3625475783474792141237255176854 y2[1] (numeric) = 1.3625475783474792141237255176854 absolute error = 2e-63 relative error = 1.4678386514954831022553258026805e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=812.5MB, alloc=4.5MB, time=49.03 x[1] = 0.372 y1[1] (analytic) = 1.9316022505701886515155990295735 y1[1] (numeric) = 1.9316022505701886515155990295735 absolute error = 1e-63 relative error = 5.1770492590014871147412004107245e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3634793621824483150281329891974 y2[1] (numeric) = 1.3634793621824483150281329891974 absolute error = 2e-63 relative error = 1.4668355498969248978613738342921e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.373 y1[1] (analytic) = 1.9312383054674996255334717777569 y1[1] (numeric) = 1.9312383054674996255334717777569 absolute error = 2e-63 relative error = 1.0356049765261128979488848682607e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.364410782538085523430064305059 y2[1] (numeric) = 1.364410782538085523430064305059 absolute error = 2e-63 relative error = 1.4658342088733624742469108851600e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=816.3MB, alloc=4.5MB, time=49.26 x[1] = 0.374 y1[1] (analytic) = 1.9308734291265827352412545110794 y1[1] (numeric) = 1.9308734291265827352412545110794 absolute error = 1e-63 relative error = 5.1790033718178156085504976163807e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3653418384829705613106714458277 y2[1] (numeric) = 1.3653418384829705613106714458277 absolute error = 2e-63 relative error = 1.4648346250212307629631058377099e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=820.1MB, alloc=4.5MB, time=49.49 x[1] = 0.375 y1[1] (analytic) = 1.9305076219123142911494767922296 y1[1] (numeric) = 1.9305076219123142911494767922296 absolute error = 1e-63 relative error = 5.1799847286250241143903498836222e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3662725290860475613729093517163 y2[1] (numeric) = 1.3662725290860475613729093517163 absolute error = 2e-63 relative error = 1.4638367949459374759535742104597e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=823.9MB, alloc=4.5MB, time=49.73 x[1] = 0.376 y1[1] (analytic) = 1.9301408841905014770426492067458 y1[1] (numeric) = 1.9301408841905014770426492067458 absolute error = 1e-63 relative error = 5.1809689551205930320770388376288e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3672028534166259980973256316519 y2[1] (numeric) = 1.3672028534166259980973256316519 absolute error = 3e-63 relative error = 2.1942610728927536771457775091131e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=827.8MB, alloc=4.5MB, time=49.96 x[1] = 0.377 y1[1] (analytic) = 1.929773216327881984172110062437 y1[1] (numeric) = 1.929773216327881984172110062437 absolute error = 2e-63 relative error = 1.0363912106759108389786289878375e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.368132810544381618432508525187 y2[1] (numeric) = 1.368132810544381618432508525187 absolute error = 3e-63 relative error = 2.1927695738882956476404710516355e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.378 y1[1] (analytic) = 1.9294046186921236445183646995176 y1[1] (numeric) = 1.9294046186921236445183646995176 absolute error = 2e-63 relative error = 1.0365892050967155410322888609807e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3690623995393573721192624268931 y2[1] (numeric) = 1.3690623995393573721192624268931 absolute error = 3e-63 relative error = 2.1912806903537759094317980915320e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=831.6MB, alloc=4.5MB, time=50.19 x[1] = 0.379 y1[1] (analytic) = 1.929035091651824063123284149087 y1[1] (numeric) = 1.929035091651824063123284149087 absolute error = 2e-63 relative error = 1.0367877747041962857148266647616e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3699916194719643416475806491373 y2[1] (numeric) = 1.3699916194719643416475806491373 absolute error = 3e-63 relative error = 2.1897944172507343780463737474140e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=835.4MB, alloc=4.5MB, time=50.42 x[1] = 0.38 y1[1] (analytic) = 1.9286646355765102494925308077246 y1[1] (numeric) = 1.9286646355765102494925308077246 absolute error = 2e-63 relative error = 1.0369869199173481044712361719667e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3709204694129826718454854663492 y2[1] (numeric) = 1.3709204694129826718454854663492 absolute error = 3e-63 relative error = 2.1883107495539667077660402456053e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=839.2MB, alloc=4.5MB, time=50.65 x[1] = 0.381 y1[1] (analytic) = 1.9282932508366382480685797257438 y1[1] (numeric) = 1.9282932508366382480685797257438 absolute error = 2e-63 relative error = 1.0371866411564993994677374269814e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3718489484335624990988058520127 y2[1] (numeric) = 1.3718489484335624990988058520127 absolute error = 3e-63 relative error = 2.1868296822514840444806748951596e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.382 y1[1] (analytic) = 1.9279209378035927677747050360532 y1[1] (numeric) = 1.9279209378035927677747050360532 absolute error = 3e-63 relative error = 1.5560804082649707942055297683214e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3727770556052248802009636886848 y2[1] (numeric) = 1.3727770556052248802009636886848 absolute error = 3e-63 relative error = 2.1853512103444729235529329093258e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=843.0MB, alloc=4.5MB, time=50.88 x[1] = 0.383 y1[1] (analytic) = 1.927547696849686810630301979607 y1[1] (numeric) = 1.927547696849686810630301979607 absolute error = 2e-63 relative error = 1.0375878134007924025360209811453e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3737047899998627208318396013306 y2[1] (numeric) = 1.3737047899998627208318396013306 absolute error = 2e-63 relative error = 1.4559168858981702080685085031044e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=846.8MB, alloc=4.5MB, time=51.11 x[1] = 0.384 y1[1] (analytic) = 1.9271735283481612994379159120923 y1[1] (numeric) = 1.9271735283481612994379159120923 absolute error = 2e-63 relative error = 1.0377892652532750755315998472171e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3746321506897417036647899351876 y2[1] (numeric) = 1.3746321506897417036647899351876 absolute error = 3e-63 relative error = 2.1824020327872487951222603613904e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=850.6MB, alloc=4.5MB, time=51.34 x[1] = 0.385 y1[1] (analytic) = 1.9267984326731847045423506047928 y1[1] (numeric) = 1.9267984326731847045423506047928 absolute error = 3e-63 relative error = 1.5569869422396645407442876304467e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3755591367475012161008867712188 y2[1] (numeric) = 1.3755591367475012161008867712188 absolute error = 3e-63 relative error = 2.1809313172049269048341432400639e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=854.5MB, alloc=4.5MB, time=51.57 x[1] = 0.386 y1[1] (analytic) = 1.9264224101998526696622290804899 y1[1] (numeric) = 1.9264224101998526696622290804899 absolute error = 2e-63 relative error = 1.0381939025473204378622598759328e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3764857472461552776294532449923 y2[1] (numeric) = 1.3764857472461552776294532449923 absolute error = 3e-63 relative error = 2.1794631771537795927098263979038e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.387 y1[1] (analytic) = 1.9260454613041876367943811528091 y1[1] (numeric) = 1.9260454613041876367943811528091 absolute error = 2e-63 relative error = 1.0383970888442764765510872279238e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3774119812590934668139668085286 y2[1] (numeric) = 1.3774119812590934668139668085286 absolute error = 2e-63 relative error = 1.4519984051335158957105126748560e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=858.3MB, alloc=4.5MB, time=51.80 x[1] = 0.388 y1[1] (analytic) = 1.9256675863631384701914327645926 y1[1] (numeric) = 1.9256675863631384701914327645926 absolute error = 3e-63 relative error = 1.5579012812205408914372720291947e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3783378378600818479024034492912 y2[1] (numeric) = 1.3783378378600818479024034492912 absolute error = 2e-63 relative error = 1.4510230692825429541062894498874e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=862.1MB, alloc=4.5MB, time=52.04 x[1] = 0.389 y1[1] (analytic) = 1.9252887857545800794129731476774 y1[1] (numeric) = 1.9252887857545800794129731476774 absolute error = 2e-63 relative error = 1.0388051988866378248442928863146e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3792633161232638970610962560513 y2[1] (numeric) = 1.3792633161232638970610962560513 absolute error = 2e-63 relative error = 1.4500494406111365431392424970309e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=865.9MB, alloc=4.5MB, time=52.27 x[1] = 0.39 y1[1] (analytic) = 1.9249090598573130414506767528811 y1[1] (numeric) = 1.9249090598573130414506767528811 absolute error = 2e-63 relative error = 1.0390101234955240921477781782336e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3801884151231614282311820978472 y2[1] (numeric) = 1.3801884151231614282311820978472 absolute error = 2e-63 relative error = 1.4490775158560721171750110187086e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.391 y1[1] (analytic) = 1.9245284090510632219277578250411 y1[1] (numeric) = 1.9245284090510632219277578250411 absolute error = 2e-63 relative error = 1.0392156284074548580674320528437e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3811131339346755186067105596679 y2[1] (numeric) = 1.3811131339346755186067105596679 absolute error = 2e-63 relative error = 1.4481072917626723965657671139031e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=869.7MB, alloc=4.5MB, time=52.50 x[1] = 0.392 y1[1] (analytic) = 1.9241468337164813953731364236214 y1[1] (numeric) = 1.9241468337164813953731364236214 absolute error = 2e-63 relative error = 1.0394217140575537770983128804075e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3820374716330874337334896568294 y2[1] (numeric) = 1.3820374716330874337334896568294 absolute error = 2e-63 relative error = 1.4471387650847815782241003269367e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=873.5MB, alloc=4.5MB, time=52.73 x[1] = 0.393 y1[1] (analytic) = 1.9237643342351428645706956146894 y1[1] (numeric) = 1.9237643342351428645706956146894 absolute error = 3e-63 relative error = 1.5594425713234520370547176288518e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3829614272940595522277432292739 y2[1] (numeric) = 1.3829614272940595522277432292739 absolute error = 2e-63 relative error = 1.4461719325847396386275359173965e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=877.3MB, alloc=4.5MB, time=52.96 x[1] = 0.394 y1[1] (analytic) = 1.9233809109895470789840104849733 y1[1] (numeric) = 1.9233809109895470789840104849733 absolute error = 3e-63 relative error = 1.5597534439793054489529210611071e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3838849999936362901136552972144 y2[1] (numeric) = 1.3838849999936362901136552972144 absolute error = 2e-63 relative error = 1.4452067910333567288784194316565e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=881.2MB, alloc=4.5MB, time=53.19 x[1] = 0.395 y1[1] (analytic) = 1.9229965643631172522569305532409 y1[1] (numeric) = 1.9229965643631172522569305532409 absolute error = 3e-63 relative error = 1.5600651897126912468938974519243e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.384808188808245024778877040654 y2[1] (numeric) = 1.384808188808245024778877040654 absolute error = 2e-63 relative error = 1.4442433372098876614456198446216e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.396 y1[1] (analytic) = 1.9226112947401999787903980783825 y1[1] (numeric) = 1.9226112947401999787903980783825 absolute error = 3e-63 relative error = 1.5603778091844540983626715637715e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3857309928146970185470724473521 y2[1] (numeric) = 1.3857309928146970185470724473521 absolute error = 2e-63 relative error = 1.4432815679020064882162144918408e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=885.0MB, alloc=4.5MB, time=53.41 x[1] = 0.397 y1[1] (analytic) = 1.9222251025060648493958856873514 y1[1] (numeric) = 1.9222251025060648493958856873514 absolute error = 2e-63 relative error = 1.0404608687049906848924796203884e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3866534110901883418665790567684 y2[1] (numeric) = 1.3866534110901883418665790567684 absolute error = 2e-63 relative error = 1.4423214799057811694870212758604e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=888.8MB, alloc=4.5MB, time=53.64 x[1] = 0.398 y1[1] (analytic) = 1.9218379880469040660258376694886 y1[1] (numeric) = 1.9218379880469040660258376694886 absolute error = 2e-63 relative error = 1.0406704479978196396209294832012e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3875754427123007961142606114002 y2[1] (numeric) = 1.3875754427123007961142606114002 absolute error = 3e-63 relative error = 2.1620446050384725002913058827198e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=892.6MB, alloc=4.5MB, time=53.87 x[1] = 0.399 y1[1] (analytic) = 1.9214499517498320555815002067615 y1[1] (numeric) = 1.9214499517498320555815002067615 absolute error = 3e-63 relative error = 1.5613209166691802776139842121795e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3884970867590028360136288117384 y2[1] (numeric) = 1.3884970867590028360136288117384 absolute error = 2e-63 relative error = 1.4404063350743881263475277573395e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.4 y1[1] (analytic) = 1.9210609940028850827985267320518 y1[1] (numeric) = 1.9210609940028850827985267320518 absolute error = 3e-63 relative error = 1.5616370377438908885809498974121e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3894183423086504916663117567957 y2[1] (numeric) = 1.3894183423086504916663117567957 absolute error = 2e-63 relative error = 1.4394512718730991513041866489731e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=896.4MB, alloc=4.5MB, time=54.10 x[1] = 0.401 y1[1] (analytic) = 1.9206711151950208622107455298569 y1[1] (numeric) = 1.9206711151950208622107455298569 absolute error = 3e-63 relative error = 1.5619540358919732997529843089742e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3903392084399882901959470388174 y2[1] (numeric) = 1.3903392084399882901959470388174 absolute error = 2e-63 relative error = 1.4384978772511734981854563887460e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=900.2MB, alloc=4.5MB, time=54.33 x[1] = 0.402 y1[1] (analytic) = 1.9202803157161181691924776156029 y1[1] (numeric) = 1.9202803157161181691924776156029 absolute error = 4e-63 relative error = 2.0830292157154696092728500327101e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3912596842321501770035778483565 y2[1] (numeric) = 1.3912596842321501770035778483565 absolute error = 2e-63 relative error = 1.4375461480462718614077560383478e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=904.0MB, alloc=4.5MB, time=54.56 x[1] = 0.403 y1[1] (analytic) = 1.9198885959569764500797938512206 y1[1] (numeric) = 1.9198885959569764500797938512206 absolute error = 3e-63 relative error = 1.5625906661030180927893440005288e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3921797687646604366336308343958 y2[1] (numeric) = 1.3921797687646604366336308343958 absolute error = 2e-63 relative error = 1.4365960811042987469680165507975e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.404 memory used=907.9MB, alloc=4.5MB, time=54.80 y1[1] (analytic) = 1.9194959563093154313711011756945 y1[1] (numeric) = 1.9194959563093154313711011756945 absolute error = 4e-63 relative error = 2.0838803993580404476490520563574e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3930994611174346132495548536135 y2[1] (numeric) = 1.3930994611174346132495548536135 absolute error = 1e-63 relative error = 7.1782383663968888389578272402075e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.405 y1[1] (analytic) = 1.9191023971657747280074487499645 y1[1] (numeric) = 1.9191023971657747280074487499645 absolute error = 3e-63 relative error = 1.5632308127125203299976488355350e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3940187603707804307182001332327 y2[1] (numeric) = 1.3940187603707804307182001332327 absolute error = 1e-63 relative error = 7.1735046071691351355951874184832e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=911.7MB, alloc=4.5MB, time=55.03 x[1] = 0.406 y1[1] (analytic) = 1.9187079189199134507329457358444 y1[1] (numeric) = 1.9187079189199134507329457358444 absolute error = 3e-63 relative error = 1.5635522063664446161108368587726e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3949376656053987123020177631507 y2[1] (numeric) = 1.3949376656053987123020177631507 absolute error = 2e-63 relative error = 1.4337558224381345895771141095329e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=915.5MB, alloc=4.5MB, time=55.26 x[1] = 0.407 y1[1] (analytic) = 1.9183125219662098125356833485036 y1[1] (numeric) = 1.9183125219662098125356833485036 absolute error = 4e-63 relative error = 2.0851659748851173631579842768138e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3958561759023842999581598252253 y2[1] (numeric) = 1.3958561759023842999581598252253 absolute error = 2e-63 relative error = 1.4328123731709340395795125715303e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=919.3MB, alloc=4.5MB, time=55.49 x[1] = 0.408 y1[1] (analytic) = 1.9179162067000607341695547415594 y1[1] (numeric) = 1.9179162067000607341695547415594 absolute error = 4e-63 relative error = 2.0855968503870890894053498565532e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3967742903432269732435608606962 y2[1] (numeric) = 1.3967742903432269732435608606962 absolute error = 2e-63 relative error = 1.4318705705189801267062552987729e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.409 y1[1] (analytic) = 1.9175189735177814487573672029263 y1[1] (numeric) = 1.9175189735177814487573672029263 absolute error = 4e-63 relative error = 2.0860289025781091620381926879681e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3976920080098123678250817707338 y2[1] (numeric) = 1.3976920080098123678250817707338 absolute error = 2e-63 relative error = 1.4309304113771244977108519614629e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=923.1MB, alloc=4.5MB, time=55.72 x[1] = 0.41 y1[1] (analytic) = 1.917120822816605105475642058277 y1[1] (numeric) = 1.917120822816605105475642058277 absolute error = 4e-63 relative error = 2.0864621323778957789226992051378e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3986093279844228935937976400511 y2[1] (numeric) = 1.3986093279844228935937976400511 absolute error = 2e-63 relative error = 1.4299918926482915148066202080604e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=926.9MB, alloc=4.5MB, time=55.95 x[1] = 0.411 y1[1] (analytic) = 1.9167217549946823723214985972821 y1[1] (numeric) = 1.9167217549946823723214985972821 absolute error = 4e-63 relative error = 2.0868965407089550871232443276104e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.3995262493497386523825113693651 y2[1] (numeric) = 1.3995262493497386523825113693651 absolute error = 2e-63 relative error = 1.4290550112434541598849566908332e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=930.8MB, alloc=4.5MB, time=56.18 x[1] = 0.412 y1[1] (analytic) = 1.9163217704510810379620192557123 y1[1] (numeric) = 1.9163217704510810379620192557123 absolute error = 4e-63 relative error = 2.0873321284965854439498901514349e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4004427711888383552855753992714 y2[1] (numeric) = 1.4004427711888383552855753992714 absolute error = 3e-63 relative error = 2.1421796461224150364799213977529e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.413 y1[1] (analytic) = 1.915920869585785612666494204004 y1[1] (numeric) = 1.915920869585785612666494204004 absolute error = 4e-63 relative error = 2.0877688966688816926075084719017e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4013588925852002395801042057875 y2[1] (numeric) = 1.4013588925852002395801042057875 absolute error = 3e-63 relative error = 2.1407792221346360760229163677442e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=934.6MB, alloc=4.5MB, time=56.41 TOP MAIN SOLVE Loop x[1] = 0.414 y1[1] (analytic) = 1.9155190527996969283219444100102 y1[1] (numeric) = 1.9155190527996969283219444100102 absolute error = 4e-63 relative error = 2.0882068461567394524811024078968e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4022746126227029852476606464264 y2[1] (numeric) = 1.4022746126227029852476606464264 absolute error = 3e-63 relative error = 2.1393812403043070390264365404595e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=938.4MB, alloc=4.5MB, time=56.65 x[1] = 0.415 y1[1] (analytic) = 1.9151163204946317375323231603814 y1[1] (numeric) = 1.9151163204946317375323231603814 absolute error = 4e-63 relative error = 2.0886459778938594240920374400847e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4031899303856266310954996351939 y2[1] (numeric) = 1.4031899303856266310954996351939 absolute error = 3e-63 relative error = 2.1379856960458202395334204439273e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=942.2MB, alloc=4.5MB, time=56.87 x[1] = 0.416 y1[1] (analytic) = 1.9147126730733223118017969413405 y1[1] (numeric) = 1.9147126730733223118017969413405 absolute error = 5e-63 relative error = 2.6113578660209396359500345678130e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4041048449586534904764530253389 y2[1] (numeric) = 1.4041048449586534904764530253389 absolute error = 4e-63 relative error = 2.8487901130472828241965762477279e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=946.0MB, alloc=4.5MB, time=57.10 x[1] = 0.417 y1[1] (analytic) = 1.9143081109394160388025074955377 y1[1] (numeric) = 1.9143081109394160388025074955377 absolute error = 4e-63 relative error = 2.0895277918647401430058588989899e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4050193554268690666065399800501 y2[1] (numeric) = 1.4050193554268690666065399800501 absolute error = 4e-63 relative error = 2.8469358692818371479238331635249e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.418 y1[1] (analytic) = 1.9139026344974750187272177871901 y1[1] (numeric) = 1.9139026344974750187272177871901 absolute error = 4e-63 relative error = 2.0899704759799666477299669254995e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4059334608757629674793875135653 y2[1] (numeric) = 1.4059334608757629674793875135653 absolute error = 4e-63 relative error = 2.8450848573647148582576641706563e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=949.8MB, alloc=4.5MB, time=57.33 x[1] = 0.419 y1[1] (analytic) = 1.9134962441529756597272455228257 y1[1] (numeric) = 1.9134962441529756597272455228257 absolute error = 4e-63 relative error = 2.0904143461073955922021253784348e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4068471603912298203765462883469 y2[1] (numeric) = 1.4068471603912298203765462883469 absolute error = 4e-63 relative error = 2.8432370712449253345536911908622e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=953.6MB, alloc=4.5MB, time=57.56 x[1] = 0.42 y1[1] (analytic) = 1.9130889403123082724360887896657 y1[1] (numeric) = 1.9130889403123082724360887896657 absolute error = 3e-63 relative error = 1.5681445523961136296732268144971e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4077604530595701859727871580863 y2[1] (numeric) = 1.4077604530595701859727871580863 absolute error = 4e-63 relative error = 2.8413925048871490923052581195160e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=957.5MB, alloc=4.5MB, time=57.79 x[1] = 0.421 y1[1] (analytic) = 1.912680723382776663579149287984 y1[1] (numeric) = 1.912680723382776663579149287984 absolute error = 4e-63 relative error = 2.0913056481928568072155491231923e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4086733379674914720354643513158 y2[1] (numeric) = 1.4086733379674914720354643513158 absolute error = 4e-63 relative error = 2.8395511522716912727146069543221e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.422 y1[1] (analytic) = 1.9122715937725977286699595476886 y1[1] (numeric) = 1.9122715937725977286699595476886 absolute error = 4e-63 relative error = 2.0917530820549695421145875966183e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4095858142021088467170315963407 y2[1] (numeric) = 1.4095858142021088467170315963407 absolute error = 4e-63 relative error = 2.8377130073944352966946014737026e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=961.3MB, alloc=4.5MB, time=58.02 TOP MAIN SOLVE Loop x[1] = 0.423 y1[1] (analytic) = 1.9118615518909010437933214328625 y1[1] (numeric) = 1.9118615518909010437933214328625 absolute error = 4e-63 relative error = 2.0922017057374544777025720240642e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.410497880850946151439797895052 y2[1] (numeric) = 1.410497880850946151439797895052 absolute error = 4e-63 relative error = 2.8358780642667966826434546094577e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=965.1MB, alloc=4.5MB, time=58.25 x[1] = 0.424 y1[1] (analytic) = 1.911450598147728456475764151092 y1[1] (numeric) = 1.911450598147728456475764151092 absolute error = 4e-63 relative error = 2.0926515201994542058153015598330e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4114095370019368133720100609405 y2[1] (numeric) = 1.4114095370019368133720100609405 absolute error = 5e-63 relative error = 3.5425578961445962841723573511656e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=968.9MB, alloc=4.5MB, time=58.48 x[1] = 0.425 y1[1] (analytic) = 1.9110387329540336756437308970901 y1[1] (numeric) = 1.9110387329540336756437308970901 absolute error = 4e-63 relative error = 2.0931025264029602636209701488121e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4123207817434247574943495453043 y2[1] (numeric) = 1.4123207817434247574943495453043 absolute error = 5e-63 relative error = 3.5402721992292726866163632649423e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=972.7MB, alloc=4.5MB, time=58.71 x[1] = 0.426 y1[1] (analytic) = 1.9106259567216818606699041723951 y1[1] (numeric) = 1.9106259567216818606699041723951 absolute error = 3e-63 relative error = 1.5701660439846132017147587358473e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4132316141641653182559314852307 y2[1] (numeric) = 1.4132316141641653182559314852307 absolute error = 5e-63 relative error = 3.5379904821596954924260540239171e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.427 y1[1] (analytic) = 1.910212269863449209508080734783 y1[1] (numeric) = 1.910212269863449209508080734783 absolute error = 3e-63 relative error = 1.5705060884225468030558042749903e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4141420333533261508188943174277 y2[1] (numeric) = 1.4141420333533261508188943174277 absolute error = 5e-63 relative error = 3.5357127375272213749749784027279e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=976.5MB, alloc=4.5MB, time=58.94 x[1] = 0.428 y1[1] (analytic) = 1.9097976727930225459170080424865 y1[1] (numeric) = 1.9097976727930225459170080424865 absolute error = 4e-63 relative error = 2.0944627051252599145766173567040e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.415052038400488141890668713393 y2[1] (numeric) = 1.415052038400488141890668713393 absolute error = 5e-63 relative error = 3.5334389579423365328205498307272e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=980.3MB, alloc=4.5MB, time=59.17 x[1] = 0.429 y1[1] (analytic) = 1.9093821659249989057735949693482 y1[1] (numeric) = 1.9093821659249989057735949693482 absolute error = 3e-63 relative error = 1.5711888659788817175873635833872e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4159616283956463201430150037265 y2[1] (numeric) = 1.4159616283956463201430150037265 absolute error = 4e-63 relative error = 2.8249353088276801385328619267733e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=984.2MB, alloc=4.5MB, time=59.40 x[1] = 0.43 y1[1] (analytic) = 1.9089657496748851224759104776634 y1[1] (numeric) = 1.9089657496748851224759104776634 absolute error = 3e-63 relative error = 1.5715316005595848452708833587063e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4168708024292107662169186726246 y2[1] (numeric) = 1.4168708024292107662169186726246 absolute error = 4e-63 relative error = 2.8231226115620705555107735438864e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.431 y1[1] (analytic) = 1.90854842445909741143638484568 y1[1] (numeric) = 1.90854842445909741143638484568 absolute error = 3e-63 relative error = 1.5718752333204390046336193922364e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4177795595920075223124339177373 y2[1] (numeric) = 1.4177795595920075223124339177373 absolute error = 4e-63 relative error = 2.8213130686910696534710796854595e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=988.0MB, alloc=4.5MB, time=59.63 x[1] = 0.432 y1[1] (analytic) = 1.9081301906949609536656289565175 y1[1] (numeric) = 1.9081301906949609536656289565175 absolute error = 4e-63 relative error = 2.0962930199973190527738894787800e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4186878989752795013625656856203 y2[1] (numeric) = 1.4186878989752795013625656856203 absolute error = 4e-63 relative error = 2.8195066743638303289015704945968e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=991.8MB, alloc=4.5MB, time=59.86 x[1] = 0.433 y1[1] (analytic) = 1.9077110488007094784472880646543 y1[1] (numeric) = 1.9077110488007094784472880646543 absolute error = 3e-63 relative error = 1.5725651963309446336138701042752e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4195958196706873957902810089753 y2[1] (numeric) = 1.4195958196706873957902810089753 absolute error = 3e-63 relative error = 2.1132775670584384638621952478183e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=995.6MB, alloc=4.5MB, time=60.10 x[1] = 0.434 y1[1] (analytic) = 1.9072909991954848451043473650912 y1[1] (numeric) = 1.9072909991954848451043473650912 absolute error = 4e-63 relative error = 2.0972153707469083369270827201972e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4205033207703105858477408887429 y2[1] (numeric) = 1.4205033207703105858477408887429 absolute error = 3e-63 relative error = 2.1119274810094494568556638914790e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=999.4MB, alloc=4.5MB, time=60.33 x[1] = 0.435 y1[1] (analytic) = 1.9068700422993366238573075988539 y1[1] (numeric) = 1.9068700422993366238573075988539 absolute error = 3e-63 relative error = 1.5732587609287460996514297895704e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4214104013666480475368443818927 y2[1] (numeric) = 1.4214104013666480475368443818927 absolute error = 3e-63 relative error = 2.1105797432715986281562703259737e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.436 y1[1] (analytic) = 1.9064481785332216757746498366219 y1[1] (numeric) = 1.9064481785332216757746498366219 absolute error = 3e-63 relative error = 1.5736068956818603301547354427967e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4223170605526192601101769744414 y2[1] (numeric) = 1.4223170605526192601101769744414 absolute error = 3e-63 relative error = 2.1092343495017886338080984119621e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1003.2MB, alloc=4.5MB, time=60.56 x[1] = 0.437 y1[1] (analytic) = 1.9060254083190037318160094899842 y1[1] (numeric) = 1.9060254083190037318160094899842 absolute error = 3e-63 relative error = 1.5739559330669227803062436312464e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4232232974215651131514557388264 y2[1] (numeric) = 1.4232232974215651131514557388264 absolute error = 4e-63 relative error = 2.8105217271574652210574644356858e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1007.1MB, alloc=4.5MB, time=60.79 x[1] = 0.438 y1[1] (analytic) = 1.9056017320794529709684805071144 y1[1] (numeric) = 1.9056017320794529709684805071144 absolute error = 3e-63 relative error = 1.5743058738335134558488098180184e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4241291110672488132345641952655 y2[1] (numeric) = 1.4241291110672488132345641952655 absolute error = 4e-63 relative error = 2.8087341020663371334908338420651e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1010.9MB, alloc=4.5MB, time=61.02 x[1] = 0.439 y1[1] (analytic) = 1.9051771502382455974764716165229 y1[1] (numeric) = 1.9051771502382455974764716165229 absolute error = 3e-63 relative error = 1.5746567187333970330396947642280e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.425034500583856790160270218143 y2[1] (numeric) = 1.425034500583856790160270218143 absolute error = 4e-63 relative error = 2.8069495849827800135156386976814e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.44 y1[1] (analytic) = 1.9047516632199634171655373889984 y1[1] (numeric) = 1.9047516632199634171655373889984 absolute error = 4e-63 relative error = 2.1000112913607018282813737384799e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4259394650659996027697207507799 y2[1] (numeric) = 1.4259394650659996027697207507799 absolute error = 4e-63 relative error = 2.8051681701753447261985717099476e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1014.7MB, alloc=4.5MB, time=61.25 x[1] = 0.441 y1[1] (analytic) = 1.9043252714500934128606077938682 y1[1] (numeric) = 1.9043252714500934128606077938682 absolute error = 3e-63 relative error = 1.5753611239510460370469718493733e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4268440036087128443338075151701 y2[1] (numeric) = 1.4268440036087128443338075151701 absolute error = 4e-63 relative error = 2.8033898519273102270990135071321e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1018.5MB, alloc=4.5MB, time=61.48 x[1] = 0.442 y1[1] (analytic) = 1.9038979753550273188990408313166 y1[1] (numeric) = 1.9038979753550273188990408313166 absolute error = 3e-63 relative error = 1.5757146857832958406064337073968e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4277481153074580475174983273898 y2[1] (numeric) = 1.4277481153074580475174983273898 absolute error = 4e-63 relative error = 2.8016146245366403706605456730068e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1022.3MB, alloc=4.5MB, time=61.71 x[1] = 0.443 y1[1] (analytic) = 1.9034697753620611947389237276696 y1[1] (numeric) = 1.9034697753620611947389237276696 absolute error = 3e-63 relative error = 1.5760691547778143831204143101371e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4286517992581235889182290544271 y2[1] (numeric) = 1.4286517992581235889182290544271 absolute error = 4e-63 relative error = 2.7998424823159408698290422815629e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1026.1MB, alloc=4.5MB, time=61.95 x[1] = 0.444 y1[1] (analytic) = 1.9030406718993949976630490853117 y1[1] (numeric) = 1.9030406718993949976630490853117 absolute error = 3e-63 relative error = 1.5764245316973426165930298652227e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4295550545570255931774516741134 y2[1] (numeric) = 1.4295550545570255931774516741134 absolute error = 4e-63 relative error = 2.7980734195924164062991544083474e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.445 y1[1] (analytic) = 1.9026106653961321545789932832218 y1[1] (numeric) = 1.9026106653961321545789932832218 absolute error = 4e-63 relative error = 2.1023744230757698869806489283418e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4304578803009088366644343266839 y2[1] (numeric) = 1.4304578803009088366644343266839 absolute error = 4e-63 relative error = 2.7963074307078278907936766431525e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1029.9MB, alloc=4.5MB, time=62.18 x[1] = 0.446 y1[1] (analytic) = 1.9021797562822791329157253280146 y1[1] (numeric) = 1.9021797562822791329157253280146 absolute error = 3e-63 relative error = 1.5771380123734251587623346899990e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4313602755869476507314096742436 y2[1] (numeric) = 1.4313602755869476507314096742436 absolute error = 4e-63 relative error = 2.7945445100184498727829459293856e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1033.8MB, alloc=4.5MB, time=62.41 x[1] = 0.447 y1[1] (analytic) = 1.9017479449887450106171752588427 y1[1] (numeric) = 1.9017479449887450106171752588427 absolute error = 3e-63 relative error = 1.5774961176665053275794567855062e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4322622395127468245391683130648 y2[1] (numeric) = 1.4322622395127468245391683130648 absolute error = 4e-63 relative error = 2.7927846518950280990540711806783e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1037.6MB, alloc=4.5MB, time=62.64 x[1] = 0.448 y1[1] (analytic) = 1.9013152319473410452331921125551 y1[1] (numeric) = 1.9013152319473410452331921125551 absolute error = 4e-63 relative error = 2.1038068452768721465244831164571e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4331637711763425074521944131981 y2[1] (numeric) = 1.4331637711763425074521944131981 absolute error = 4e-63 relative error = 2.7910278507227372205424271469741e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.449 y1[1] (analytic) = 1.9008816175907802421083223581184 y1[1] (numeric) = 1.9008816175907802421083223581184 absolute error = 3e-63 relative error = 1.5782150620206780207714654608859e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4340648696762031110024411903364 y2[1] (numeric) = 1.4340648696762031110024411903364 absolute error = 4e-63 relative error = 2.7892741009011386468404679918167e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1041.4MB, alloc=4.5MB, time=62.87 x[1] = 0.45 y1[1] (analytic) = 1.9004471023526769216688406114864 y1[1] (numeric) = 1.9004471023526769216688406114864 absolute error = 4e-63 relative error = 2.1047678701754767109108574991337e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4349655341112302104208442462319 y2[1] (numeric) = 1.4349655341112302104208442462319 absolute error = 4e-63 relative error = 2.7875233968441385478015250708177e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1045.2MB, alloc=4.5MB, time=63.10 x[1] = 0.451 y1[1] (analytic) = 1.9000116866675462858084653438511 y1[1] (numeric) = 1.9000116866675462858084653438511 absolute error = 3e-63 relative error = 1.5789376565687007210514817912273e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4358657635807594457356712462275 y2[1] (numeric) = 1.4358657635807594457356712462275 absolute error = 4e-63 relative error = 2.7857757329799460016588495388166e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1049.0MB, alloc=4.5MB, time=63.33 x[1] = 0.452 y1[1] (analytic) = 1.8995753709708039833731931975225 y1[1] (numeric) = 1.8995753709708039833731931975225 absolute error = 4e-63 relative error = 2.1057337661499292191276477866641e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4367655571845614224368068356284 y2[1] (numeric) = 1.4367655571845614224368068356284 absolute error = 4e-63 relative error = 2.7840311037510312890827437301936e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1052.8MB, alloc=4.5MB, time=63.56 x[1] = 0.453 y1[1] (analytic) = 1.899138155698765674745686424569 y1[1] (numeric) = 1.899138155698765674745686424569 absolute error = 4e-63 relative error = 2.1062185433940938216595143959415e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4376649140228426117050721307038 y2[1] (numeric) = 1.4376649140228426117050721307038 absolute error = 4e-63 relative error = 2.7822895036140843326011958228266e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.454 y1[1] (analytic) = 1.898700041288646595529648863792 y1[1] (numeric) = 1.898700041288646595529648863792 absolute error = 4e-63 relative error = 2.1067045415373785765343994859517e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4385638331962462502056785550742 y2[1] (numeric) = 1.4385638331962462502056785550742 absolute error = 4e-63 relative error = 2.7805509270399732808119901805960e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1056.6MB, alloc=4.5MB, time=63.79 x[1] = 0.455 y1[1] (analytic) = 1.8982610281785611193346267716233 y1[1] (numeric) = 1.8982610281785611193346267716233 absolute error = 4e-63 relative error = 2.1071917616293903497821544168950e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4394623138058532394449162281053 y2[1] (numeric) = 1.4394623138058532394449162281053 absolute error = 4e-63 relative error = 2.7788153685137032368168110410031e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1060.5MB, alloc=4.5MB, time=64.02 x[1] = 0.456 y1[1] (analytic) = 1.8978211168075223196616717221096 y1[1] (numeric) = 1.8978211168075223196616717221096 absolute error = 4e-63 relative error = 2.1076802047227306706694443724871e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4403603549531830446891775486958 y2[1] (numeric) = 1.4403603549531830446891775486958 absolute error = 5e-63 relative error = 3.4713535281679689128879874272884e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1064.3MB, alloc=4.5MB, time=64.25 x[1] = 0.457 y1[1] (analytic) = 1.8973803076154415308903036902821 y1[1] (numeric) = 1.8973803076154415308903036902821 absolute error = 4e-63 relative error = 2.1081698718730006860336118558789e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4412579557401945934454170555095 y2[1] (numeric) = 1.4412579557401945934454170555095 absolute error = 5e-63 relative error = 3.4691916045189309159503344149036e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.458 y1[1] (analytic) = 1.8969386010431279083672133319129 y1[1] (numeric) = 1.8969386010431279083672133319129 absolute error = 5e-63 relative error = 2.6358259551735076636428014815348e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.442155115269287173502149083267 y2[1] (numeric) = 1.442155115269287173502149083267 absolute error = 5e-63 relative error = 3.4670334328539772688940603171453e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1068.1MB, alloc=4.5MB, time=64.48 x[1] = 0.459 y1[1] (analytic) = 1.8964959975322879875971433709198 y1[1] (numeric) = 1.8964959975322879875971433709198 absolute error = 4e-63 relative error = 2.1091528825817623155235374388546e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.443051832643301330530085174175 y2[1] (numeric) = 1.443051832643301330530085174175 absolute error = 5e-63 relative error = 3.4648790063495368093539023580149e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1071.9MB, alloc=4.5MB, time=64.71 x[1] = 0.46 y1[1] (analytic) = 1.8960524975255252425363899035004 y1[1] (numeric) = 1.8960524975255252425363899035004 absolute error = 4e-63 relative error = 2.1096462282664991285967900434940e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4439481069655197652415136439289 y2[1] (numeric) = 1.4439481069655197652415136439289 absolute error = 5e-63 relative error = 3.4627283181994543002758864568262e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1075.7MB, alloc=4.5MB, time=64.94 x[1] = 0.461 y1[1] (analytic) = 1.895608101466339642989365325457 y1[1] (numeric) = 1.895608101466339642989365325457 absolute error = 4e-63 relative error = 2.1101408022606660571643484755458e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4448439373396682301075241429856 y2[1] (numeric) = 1.4448439373396682301075241429856 absolute error = 5e-63 relative error = 3.4605813616149399073521996410425e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.462 y1[1] (analytic) = 1.8951628097991272111086654861145 memory used=1079.5MB, alloc=4.5MB, time=65.17 y1[1] (numeric) = 1.8951628097991272111086654861145 absolute error = 4e-63 relative error = 2.1106366056349372227866953568061e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4457393228699164256321804959556 y2[1] (numeric) = 1.4457393228699164256321804959556 absolute error = 5e-63 relative error = 3.4584381298245188518383617367774e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.463 y1[1] (analytic) = 1.8947166229691795769990845687246 y1[1] (numeric) = 1.8947166229691795769990845687246 absolute error = 4e-63 relative error = 2.1111336394630164342943605752706e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.446634262660878896182745545017 y2[1] (numeric) = 1.446634262660878896182745545017 absolute error = 5e-63 relative error = 3.4562986160739812380657387269363e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1083.3MB, alloc=4.5MB, time=65.40 x[1] = 0.464 y1[1] (analytic) = 1.8942695414226835334260220933066 y1[1] (numeric) = 1.8942695414226835334260220933066 absolute error = 4e-63 relative error = 2.1116319048216422570745789506059e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4475287558176159253750621672001 y2[1] (numeric) = 1.4475287558176159253750621672001 absolute error = 5e-63 relative error = 3.4541628136263320549654836540926e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1087.2MB, alloc=4.5MB, time=65.63 x[1] = 0.465 y1[1] (analytic) = 1.8938215656067205896287273334791 y1[1] (numeric) = 1.8938215656067205896287273334791 absolute error = 3e-63 relative error = 1.5840985520929448242100650463790e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4484228014456344310131950802375 y2[1] (numeric) = 1.4484228014456344310131950802375 absolute error = 4e-63 relative error = 2.7616245726093930807384155998165e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1091.0MB, alloc=4.5MB, time=65.86 x[1] = 0.466 y1[1] (analytic) = 1.8933726959692665242388273340021 y1[1] (numeric) = 1.8933726959692665242388273340021 absolute error = 3e-63 relative error = 1.5844741008395192345017091230654e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4493163986508888595824384974118 y2[1] (numeric) = 1.4493163986508888595824384974118 absolute error = 4e-63 relative error = 2.7599218526219956650281537396031e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.467 y1[1] (analytic) = 1.8929229329591909373045856104637 y1[1] (numeric) = 1.8929229329591909373045856104637 absolute error = 3e-63 relative error = 1.5848505756703599863383319831282e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4502095465397820802947951384674 y2[1] (numeric) = 1.4502095465397820802947951384674 absolute error = 3e-63 relative error = 2.0686665641927658767071324104247e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1094.8MB, alloc=4.5MB, time=66.09 x[1] = 0.468 y1[1] (analytic) = 1.892472277026256801421339506815 y1[1] (numeric) = 1.892472277026256801421339506815 absolute error = 3e-63 relative error = 1.5852279774021635423882089030518e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4511022442191662786860325511832 y2[1] (numeric) = 1.4511022442191662786860325511832 absolute error = 4e-63 relative error = 2.7565252661795639917068446208789e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1098.6MB, alloc=4.5MB, time=66.32 x[1] = 0.469 y1[1] (analytic) = 1.8920207286211200119685650802794 y1[1] (numeric) = 1.8920207286211200119685650802794 absolute error = 3e-63 relative error = 1.5856063068539216298213091891680e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4519944907963438497634231466225 y2[1] (numeric) = 1.4519944907963438497634231466225 absolute error = 4e-63 relative error = 2.7548313890682925154765823986773e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1102.4MB, alloc=4.5MB, time=66.56 x[1] = 0.47 y1[1] (analytic) = 1.8915682881953289364540192765334 y1[1] (numeric) = 1.8915682881953289364540192765334 absolute error = 3e-63 relative error = 1.5859855648469251174013248710174e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4528862853790682907032748003964 y2[1] (numeric) = 1.4528862853790682907032748003964 absolute error = 3e-63 relative error = 2.0648553367115574478447327143951e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.471 y1[1] (analytic) = 1.8911149562013239629654100509787 y1[1] (numeric) = 1.8911149562013239629654100509787 absolute error = 3e-63 relative error = 1.5863657522047679052111163401563e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4537776270755450930973593224828 y2[1] (numeric) = 1.4537776270755450930973593224828 absolute error = 3e-63 relative error = 2.0635893303949613966102088428079e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1106.2MB, alloc=4.5MB, time=66.78 TOP MAIN SOLVE Loop x[1] = 0.472 y1[1] (analytic) = 1.8906607330924370477300459843989 y1[1] (numeric) = 1.8906607330924370477300459843989 absolute error = 3e-63 relative error = 1.5867468697533508270439699509388e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4546685149944326347473465492483 y2[1] (numeric) = 1.4546685149944326347473465492483 absolute error = 4e-63 relative error = 2.7497673585210641334632246688272e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1110.1MB, alloc=4.5MB, time=67.01 x[1] = 0.473 y1[1] (analytic) = 1.8902056193228912617829178333128 y1[1] (numeric) = 1.8902056193228912617829178333128 absolute error = 2e-63 relative error = 1.0580859455472570436621236613382e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4555589482448430710063522633121 y2[1] (numeric) = 1.4555589482448430710063522633121 absolute error = 4e-63 relative error = 2.7480851976646639946434413170801e-61 % Correct digits = 64 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=67.24 x[1] = 0.474 y1[1] (analytic) = 1.8897496153478003367436653469044 y1[1] (numeric) = 1.8897496153478003367436653469044 absolute error = 2e-63 relative error = 1.0583412658252657198484231683541e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4564489259363432256667085997792 y2[1] (numeric) = 1.4564489259363432256667085997792 absolute error = 4e-63 relative error = 2.7464059527033681536449884965939e-61 % Correct digits = 64 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=67.47 x[1] = 0.475 y1[1] (analytic) = 1.8892927216231682097028835735269 y1[1] (numeric) = 1.8892927216231682097028835735269 absolute error = 2e-63 relative error = 1.0585972078914900308673707649957e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4573384471789554813930660511461 y2[1] (numeric) = 1.4573384471789554813930660511461 absolute error = 4e-63 relative error = 2.7447296183964709399079300222973e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.476 y1[1] (analytic) = 1.8888349386058885672182237704341 y1[1] (numeric) = 1.8888349386058885672182237704341 absolute error = 2e-63 relative error = 1.0588537723027085413886496889381e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4582275110831586696999366378509 y2[1] (numeric) = 1.4582275110831586696999366378509 absolute error = 4e-63 relative error = 2.7430561895165692676110983202627e-61 % Correct digits = 64 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=67.70 x[1] = 0.477 y1[1] (analytic) = 1.8883762667537443884207449206015 y1[1] (numeric) = 1.8883762667537443884207449206015 absolute error = 3e-63 relative error = 1.5886664394258763609192599416290e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4591161167598889604727882670001 y2[1] (numeric) = 1.4591161167598889604727882670001 absolute error = 3e-63 relative error = 2.0560392456371432984306338850387e-61 % Correct digits = 64 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=67.93 x[1] = 0.478 y1[1] (analytic) = 1.8879167065254074872319727502484 y1[1] (numeric) = 1.8879167065254074872319727502484 absolute error = 3e-63 relative error = 1.5890531555925007924804639828128e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4600042633205407510318007582506 y2[1] (numeric) = 1.4600042633205407510318007582506 absolute error = 4e-63 relative error = 2.7397180271944238329581753083646e-61 % Correct digits = 64 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=68.17 x[1] = 0.479 y1[1] (analytic) = 1.8874562583804380536921240299613 y1[1] (numeric) = 1.8874562583804380536921240299613 absolute error = 3e-63 relative error = 1.5894408077960958142761981348860e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4608919498769675547373944731655 y2[1] (numeric) = 1.4608919498769675547373944731655 absolute error = 4e-63 relative error = 2.7380532833635433412522551624139e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.48 y1[1] (analytic) = 1.8869949227792841943999548311587 y1[1] (numeric) = 1.8869949227792841943999548311587 absolute error = 3e-63 relative error = 1.5898293968811597465539440201634e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4617791755414828891366429425886 y2[1] (numeric) = 1.4617791755414828891366429425886 absolute error = 4e-63 relative error = 2.7363914241823091137038740630205e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1132.9MB, alloc=4.6MB, time=68.40 TOP MAIN SOLVE Loop x[1] = 0.481 y1[1] (analytic) = 1.8865327001832814720646922980094 y1[1] (numeric) = 1.8865327001832814720646922980094 absolute error = 3e-63 relative error = 1.5902189236945335401608121067258e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4626659394268611636496813457004 y2[1] (numeric) = 1.4626659394268611636496813457004 absolute error = 4e-63 relative error = 2.7347324444892600500180081511924e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1136.8MB, alloc=4.6MB, time=68.62 x[1] = 0.482 y1[1] (analytic) = 1.8860695910546524441705103828338 y1[1] (numeric) = 1.8860695910546524441705103828338 absolute error = 3e-63 relative error = 1.5906093890854048074018920369064e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4635522406463385667952231544191 y2[1] (numeric) = 1.4635522406463385667952231544191 absolute error = 4e-63 relative error = 2.7330763391360101748202004166038e-61 % Correct digits = 64 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=68.86 x[1] = 0.483 y1[1] (analytic) = 1.8856055958565062007540108804759 y1[1] (numeric) = 1.8856055958565062007540108804759 absolute error = 3e-63 relative error = 1.5910007939053118659289649935770e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4644380783136139529542977177052 y2[1] (numeric) = 1.4644380783136139529542977177052 absolute error = 4e-63 relative error = 2.7314231029872111830470218503551e-61 % Correct digits = 64 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=69.09 x[1] = 0.484 y1[1] (analytic) = 1.8851407150528379012951719841238 y1[1] (numeric) = 1.8851407150528379012951719841238 absolute error = 3e-63 relative error = 1.5913931390081477956934761648368e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4653234515428497286713220221064 y2[1] (numeric) = 1.4653234515428497286713220221064 absolute error = 3e-63 relative error = 2.0473295481903863355723148617720e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.485 y1[1] (analytic) = 1.8846749491085283107222274715935 y1[1] (numeric) = 1.8846749491085283107222274715935 absolute error = 3e-63 relative error = 1.5917864252501645089977934616200e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4662083594486727384916203275428 y2[1] (numeric) = 1.4662083594486727384916203275428 absolute error = 3e-63 relative error = 2.0460939133699028656794675350691e-61 % Correct digits = 64 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=69.32 x[1] = 0.486 y1[1] (analytic) = 1.884208298489343334530940517158 y1[1] (numeric) = 1.884208298489343334530940517158 absolute error = 4e-63 relative error = 2.1229075379866357782385429101512e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4670928011461751503345058408895 y2[1] (numeric) = 1.4670928011461751503345058408895 absolute error = 4e-63 relative error = 2.7264805586088185667957950008028e-61 % Correct digits = 64 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=69.55 x[1] = 0.487 y1[1] (analytic) = 1.8837407636619335530187370096079 y1[1] (numeric) = 1.8837407636619335530187370096079 absolute error = 4e-63 relative error = 2.1234344327847554792784724115439e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4679767757509153404010390543462 y2[1] (numeric) = 1.4679767757509153404010390543462 absolute error = 4e-63 relative error = 2.7248387481837897495821269944047e-61 % Correct digits = 64 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=69.78 x[1] = 0.488 y1[1] (analytic) = 1.8832723450938337546341641423728 y1[1] (numeric) = 1.8832723450938337546341641423728 absolute error = 4e-63 relative error = 2.1239625858790490633283740619745e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4688602823789187776155778409105 y2[1] (numeric) = 1.4688602823789187776155778409105 absolute error = 4e-63 relative error = 2.7231997814807334191355797051269e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.489 y1[1] (analytic) = 1.882803043253462468442140926205 y1[1] (numeric) = 1.882803043253462468442140926205 absolute error = 4e-63 relative error = 2.1244919984238208042315775081693e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4697433201466789076002348654785 y2[1] (numeric) = 1.4697433201466789076002348654785 absolute error = 3e-63 relative error = 2.0411727400813109409209597053977e-61 % Correct digits = 64 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=70.01 x[1] = 0.49 y1[1] (analytic) = 1.8823328586101214957054681591367 y1[1] (numeric) = 1.8823328586101214957054681591367 absolute error = 4e-63 relative error = 2.1250226715765474828733436531075e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.470625888171158036181358337188 y2[1] (numeric) = 1.470625888171158036181358337188 absolute error = 3e-63 relative error = 2.0399477692662830003845548414891e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1163.5MB, alloc=4.6MB, time=70.24 x[1] = 0.491 y1[1] (analytic) = 1.8818617916339954405830662721614 y1[1] (numeric) = 1.8818617916339954405830662721614 absolute error = 4e-63 relative error = 2.1255546064978839196645382256965e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4715079855697882124271525965983 y2[1] (numeric) = 1.4715079855697882124271525965983 absolute error = 3e-63 relative error = 2.0387249198911812716153993179978e-61 % Correct digits = 64 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=70.47 x[1] = 0.492 y1[1] (analytic) = 1.8813898427961512399454103523624 y1[1] (numeric) = 1.8813898427961512399454103523624 absolute error = 5e-63 relative error = 2.6576097554395856560151211420143e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4723896114604721112155555001594 y2[1] (numeric) = 1.4723896114604721112155555001594 absolute error = 2e-63 relative error = 1.3583361254608336791427498363658e-61 % Correct digits = 64 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=70.70 x[1] = 0.493 y1[1] (analytic) = 1.8809170125685376923076325280146 y1[1] (numeric) = 1.8809170125685376923076325280146 absolute error = 5e-63 relative error = 2.6582778328811610830287977839186e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4732707649615839153314900341658 y2[1] (numeric) = 1.4732707649615839153314900341658 absolute error = 2e-63 relative error = 1.3575237136074920660775179976116e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.494 y1[1] (analytic) = 1.8804433014239849858807627825173 y1[1] (numeric) = 1.8804433014239849858807627825173 absolute error = 4e-63 relative error = 2.1271579935278872564889565001791e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4741514451919701970926080610182 y2[1] (numeric) = 1.4741514451919701970926080610182 absolute error = 2e-63 relative error = 1.3567127085369112764015389390344e-61 % Correct digits = 64 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=70.93 x[1] = 0.495 y1[1] (analytic) = 1.8799687098362042257415801458792 y1[1] (numeric) = 1.8799687098362042257415801458792 absolute error = 4e-63 relative error = 2.1276949871939663547981042915434e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4750316512709507995026445721214 y2[1] (numeric) = 1.4750316512709507995026445721214 absolute error = 3e-63 relative error = 2.0338546616373084548523973468230e-61 % Correct digits = 64 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=71.17 x[1] = 0.496 y1[1] (analytic) = 1.8794932382797869601215470938628 y1[1] (numeric) = 1.8794932382797869601215470938628 absolute error = 4e-63 relative error = 2.1282332484797947908223509275734e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4759113823183197169315012941389 y2[1] (numeric) = 1.4759113823183197169315012941389 absolute error = 2e-63 relative error = 1.3550949087867706221264689791461e-61 % Correct digits = 64 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=71.40 x[1] = 0.497 y1[1] (analytic) = 1.8790168872302047058153008658165 y1[1] (numeric) = 1.8790168872302047058153008658165 absolute error = 4e-63 relative error = 2.1287727785652128036264820294764e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4767906374543459753211789685932 y2[1] (numeric) = 1.4767906374543459753211789685932 absolute error = 2e-63 relative error = 1.3542881091442650094381480294796e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.498 y1[1] (analytic) = 1.8785396571638084727091762926628 y1[1] (numeric) = 1.8785396571638084727091762926628 absolute error = 4e-63 relative error = 2.1293135786332778998474835973414e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4776694157997745119166780989527 y2[1] (numeric) = 1.4776694157997745119166780989527 absolute error = 1e-63 relative error = 6.7674135317929654419164914090753e-62 % Correct digits = 64 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=71.63 x[1] = 0.499 y1[1] (analytic) = 1.8780615485578282874302356064793 y1[1] (numeric) = 1.8780615485578282874302356064793 absolute error = 4e-63 relative error = 2.1298556498702705297916335811719e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4785477164758270545209884343787 y2[1] (numeric) = 1.4785477164758270545209884343787 absolute error = 2e-63 relative error = 1.3526786979638869358170635623040e-61 % Correct digits = 64 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=71.87 x[1] = 0.5 y1[1] (analytic) = 1.8775825618903727161162815826038 y1[1] (numeric) = 1.8775825618903727161162815826038 absolute error = 4e-63 relative error = 2.1303989934656997816974038597239e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4794255386042030002732879352156 y2[1] (numeric) = 1.4794255386042030002732879352156 absolute error = 2e-63 relative error = 1.3518760815004887495457772563323e-61 % Correct digits = 64 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=72.10 x[1] = 0.501 y1[1] (analytic) = 1.8771026976404283863073312442114 y1[1] (numeric) = 1.8771026976404283863073312442114 absolute error = 4e-63 relative error = 2.1309436106123090942123561734281e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4803028813070802939494724420977 y2[1] (numeric) = 1.4803028813070802939494724420977 absolute error = 2e-63 relative error = 1.3510748545149332425894357125264e-61 % Correct digits = 64 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=72.33 x[1] = 0.502 y1[1] (analytic) = 1.8766219562878595079590282378478 y1[1] (numeric) = 1.8766219562878595079590282378478 absolute error = 4e-63 relative error = 2.1314895025060819871323968209519e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4811797437071163057841377482187 y2[1] (numeric) = 1.4811797437071163057841377482187 absolute error = 2e-63 relative error = 1.3502750145599300974991523489969e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.503 y1[1] (analytic) = 1.8761403383134073935784728664688 y1[1] (numeric) = 1.8761403383134073935784728664688 absolute error = 4e-63 relative error = 2.1320366703462478104519368328205e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4820561249274487088131362528522 y2[1] (numeric) = 1.4820561249274487088131362528522 absolute error = 2e-63 relative error = 1.3494765591943464804991484405496e-61 % Correct digits = 64 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=72.56 x[1] = 0.504 y1[1] (analytic) = 1.8756578441986899774829496441145 y1[1] (numeric) = 1.8756578441986899774829496441145 absolute error = 4e-63 relative error = 2.1325851153352875117736868827886e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4829320240916963557358308536409 y2[1] (numeric) = 1.4829320240916963557358308536409 absolute error = 2e-63 relative error = 1.3486794859831896152238384350591e-61 % Correct digits = 64 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=72.79 x[1] = 0.505 y1[1] (analytic) = 1.8751744744262013341820331134515 y1[1] (numeric) = 1.8751744744262013341820331134515 absolute error = 4e-63 relative error = 2.1331348386789394221269993911445e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4838074403239601552961692154743 y2[1] (numeric) = 1.4838074403239601552961692154743 absolute error = 2e-63 relative error = 1.3478837924975894158215646973367e-61 % Correct digits = 64 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=73.02 x[1] = 0.506 y1[1] (analytic) = 1.8746902294793111958835535440367 y1[1] (numeric) = 1.8746902294793111958835535440367 absolute error = 4e-63 relative error = 2.1336858415862050602438541166927e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4846823727488239481817020349524 y2[1] (numeric) = 1.4846823727488239481817020349524 absolute error = 2e-63 relative error = 1.3470894763147811791975288351628e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.507 y1[1] (analytic) = 1.8742051098422644691239050052961 y1[1] (numeric) = 1.8742051098422644691239050052961 absolute error = 4e-63 relative error = 2.1342381252693549553417680286304e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4855568204913553824396694014905 y2[1] (numeric) = 1.4855568204913553824396694014905 absolute error = 2e-63 relative error = 1.3462965350180883361694542500849e-61 % Correct digits = 64 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=73.24 x[1] = 0.508 y1[1] (analytic) = 1.8737191160001807505231791838722 y1[1] (numeric) = 1.8737191160001807505231791838722 absolute error = 4e-63 relative error = 2.1347916909439344884630953987854e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4864307826771067884092798390526 y2[1] (numeric) = 1.4864307826771067884092798390526 absolute error = 1e-63 relative error = 6.7275248309845263065524865017367e-62 % Correct digits = 64 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=73.48 x[1] = 0.509 y1[1] (analytic) = 1.873232248439053841665609190164 y1[1] (numeric) = 1.873232248439053841665609190164 absolute error = 4e-63 relative error = 2.1353465398287697524203698615807e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4873042584321160531693070963062 y2[1] (numeric) = 1.4873042584321160531693070963062 absolute error = 1e-63 relative error = 6.7235738372334007062745124500644e-62 % Correct digits = 64 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=73.71 x[1] = 0.51 y1[1] (analytic) = 1.8727445076457512631058084735755 y1[1] (numeric) = 1.8727445076457512631058084735755 absolute error = 4e-63 relative error = 2.1359026731459734303975266565312e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4881772468829074945001302376746 y2[1] (numeric) = 1.4881772468829074945001302376746 absolute error = 1e-63 relative error = 6.7196296818444895062143521595632e-62 % Correct digits = 64 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=73.94 x[1] = 0.511 y1[1] (analytic) = 1.8722558941080137675012908401947 y1[1] (numeric) = 1.8722558941080137675012908401947 absolute error = 5e-63 relative error = 2.6705751151511883665712879986921e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4890497471564927343593430733201 y2[1] (numeric) = 1.4890497471564927343593430733201 absolute error = 1e-63 relative error = 6.7156923528553159484103799866211e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.512 y1[1] (analytic) = 1.8717664083144548518717584403411 y1[1] (numeric) = 1.8717664083144548518717584403411 absolute error = 4e-63 relative error = 2.1370187979824051156031215217976e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4899217583803715718700594525215 y2[1] (numeric) = 1.4899217583803715718700594525215 absolute error = 1e-63 relative error = 6.7117618383334171025211904344851e-62 % Correct digits = 64 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=74.17 x[1] = 0.513 y1[1] (analytic) = 1.8712760507545602689856454666536 y1[1] (numeric) = 1.8712760507545602689856454666536 absolute error = 4e-63 relative error = 2.1375787919623446106515829980114e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4907932796825328558210414322121 y2[1] (numeric) = 1.4907932796825328558210414322121 absolute error = 1e-63 relative error = 6.7078381263762593654805092991913e-62 % Correct digits = 64 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=74.40 x[1] = 0.514 y1[1] (analytic) = 1.8707848219186875378744061761341 y1[1] (numeric) = 1.8707848219186875378744061761341 absolute error = 4e-63 relative error = 2.1381400752960873839566180915777e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4916643101914553566777778206244 y2[1] (numeric) = 1.4916643101914553566777778206244 absolute error = 1e-63 relative error = 6.7039212051111542479257453306329e-62 % Correct digits = 64 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=74.63 x[1] = 0.515 y1[1] (analytic) = 1.8702927222980654534750367218189 y1[1] (numeric) = 1.8702927222980654534750367218189 absolute error = 4e-63 relative error = 2.1387026492222679060456196992383e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4925348490361086381036410850348 y2[1] (numeric) = 1.4925348490361086381036410850348 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.516 y1[1] (analytic) = 1.8697997523847935954013211515137 y1[1] (numeric) = 1.8697997523847935954013211515137 absolute error = 4e-63 relative error = 2.1392665149828429040128023369515e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4934048953459539279902511025232 y2[1] (numeric) = 1.4934048953459539279902511025232 absolute error = 1e-63 relative error = 6.6961076873150701995841759700373e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1239.8MB, alloc=4.6MB, time=74.86 x[1] = 0.517 y1[1] (analytic) = 1.8693059126718418358442928023069 y1[1] (numeric) = 1.8693059126718418358442928023069 absolute error = 4e-63 relative error = 2.1398316738230973721228589982505e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4942744482509449889961747234587 y2[1] (numeric) = 1.4942744482509449889961747234587 absolute error = 1e-63 relative error = 6.6922110671871859294381997784126e-62 % Correct digits = 64 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=75.09 x[1] = 0.518 y1[1] (analytic) = 1.8688112036530498466024031903571 y1[1] (numeric) = 1.8688112036530498466024031903571 absolute error = 4e-63 relative error = 2.1403981269916506014759969689063e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4951435068815289885930906090811 y2[1] (numeric) = 1.4951435068815289885930906090811 absolute error = 0 relative error = 0 % Correct digits = 64 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=75.32 x[1] = 0.519 y1[1] (analytic) = 1.8683156258231266052418913657465 y1[1] (numeric) = 1.8683156258231266052418913657465 absolute error = 4e-63 relative error = 2.1409658757404622287858992266305e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4960120703686473686185492970897 y2[1] (numeric) = 1.4960120703686473686185492970897 absolute error = 1e-63 relative error = 6.6844380457009277363374714083910e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.52 y1[1] (analytic) = 1.8678191796776499003878475719885 y1[1] (numeric) = 1.8678191796776499003878475719885 absolute error = 4e-63 relative error = 2.1415349213248383043223512890138e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4968801378437367143344589425478 y2[1] (numeric) = 1.4968801378437367143344589425478 absolute error = 1e-63 relative error = 6.6805616209224672797258116287455e-62 % Correct digits = 64 h = 0.001 memory used=1251.2MB, alloc=4.6MB, time=75.55 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.521 y1[1] (analytic) = 1.8673218657130658361464659190853 y1[1] (numeric) = 1.8673218657130658361464659190853 absolute error = 4e-63 relative error = 2.1421052650034373790704673005065e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4977477084387296229904276756926 y2[1] (numeric) = 1.4977477084387296229904276756926 absolute error = 1e-63 relative error = 6.6766919045558889801291916285338e-62 % Correct digits = 64 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=75.78 x[1] = 0.522 y1[1] (analytic) = 1.8668236844266883356589816478407 y1[1] (numeric) = 1.8668236844266883356589816478407 absolute error = 4e-63 relative error = 2.1426769080382766111586437730592e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4986147812860555718910940133795 y2[1] (numeric) = 1.4986147812860555718910940133795 absolute error = 1e-63 relative error = 6.6728288849642676233420489923157e-62 % Correct digits = 64 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=76.02 x[1] = 0.523 y1[1] (analytic) = 1.8663246363166986437877894314509 y1[1] (numeric) = 1.8663246363166986437877894314509 absolute error = 4e-63 relative error = 2.1432498516947378916075647181047e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.4994813555186417859665772569024 y2[1] (numeric) = 1.4994813555186417859665772569024 absolute error = 1e-63 relative error = 6.6689725505397779126276429596772e-62 % Correct digits = 64 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=76.25 x[1] = 0.524 y1[1] (analytic) = 1.8658247218821448289352400282119 y1[1] (numeric) = 1.8658247218821448289352400282119 absolute error = 4e-63 relative error = 2.1438240972415739894527779329596e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5003474302699141048451803058119 y2[1] (numeric) = 1.5003474302699141048451803058119 absolute error = 1e-63 relative error = 6.6651228897036130635039164576756e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.525 y1[1] (analytic) = 1.8653239416229412839956134665064 y1[1] (numeric) = 1.8653239416229412839956134665064 absolute error = 4e-63 relative error = 2.1443996459509147162935589355245e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5012130046737978494274778151016 y2[1] (numeric) = 1.5012130046737978494274778151016 absolute error = 1e-63 relative error = 6.6612798909059036735289951364092e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1266.5MB, alloc=4.6MB, time=76.48 x[1] = 0.526 y1[1] (analytic) = 1.864822296039868226440767810055 y1[1] (numeric) = 1.864822296039868226440767810055 absolute error = 5e-63 relative error = 2.6812206238728413879012206006069e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5020780778647186879609231217462 y2[1] (numeric) = 1.5020780778647186879609231217462 absolute error = 1e-63 relative error = 6.6574435426256368660434415785880e-62 % Correct digits = 64 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=76.71 x[1] = 0.527 y1[1] (analytic) = 1.8643197856345711975399634177419 y1[1] (numeric) = 1.8643197856345711975399634177419 absolute error = 5e-63 relative error = 2.6819433224531895498478396764444e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5029426489776035016141078660558 y2[1] (numeric) = 1.5029426489776035016141078660558 absolute error = 0 relative error = 0 % Correct digits = 64 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=76.94 x[1] = 0.528 y1[1] (analytic) = 1.8638164109095605607143634781479 y1[1] (numeric) = 1.8638164109095605607143634781479 absolute error = 5e-63 relative error = 2.6826676547825605332585776334859e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5038067171478812495498087336605 y2[1] (numeric) = 1.5038067171478812495498087336605 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.529 y1[1] (analytic) = 1.8633121723682109990267124642498 y1[1] (numeric) = 1.8633121723682109990267124642498 absolute error = 5e-63 relative error = 2.6833936224680793602893501609822e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.504670281511483833495956245149 y2[1] (numeric) = 1.504670281511483833495956245149 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1277.9MB, alloc=4.6MB, time=77.17 TOP MAIN SOLVE Loop x[1] = 0.53 y1[1] (analytic) = 1.8628070705147610118066950185642 y1[1] (numeric) = 1.8628070705147610118066950185642 absolute error = 6e-63 relative error = 3.2209454725453575015572376807506e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5055333412048469618136610224661 y2[1] (numeric) = 1.5055333412048469618136610224661 absolute error = 0 relative error = 0 % Correct digits = 64 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=77.40 x[1] = 0.531 y1[1] (analytic) = 1.8623011058543124104124786433371 y1[1] (numeric) = 1.8623011058543124104124786433371 absolute error = 5e-63 relative error = 2.6848504703573694776237157635875e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5063958953649110130614334641129 y2[1] (numeric) = 1.5063958953649110130614334641129 absolute error = 0 relative error = 0 % Correct digits = 64 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=77.64 x[1] = 0.532 y1[1] (analytic) = 1.861794278892829813128944434192 y1[1] (numeric) = 1.861794278892829813128944434192 absolute error = 5e-63 relative error = 2.6855813537967232391220690937476e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5072579431291218990547332650042 y2[1] (numeric) = 1.5072579431291218990547332650042 absolute error = 0 relative error = 0 % Correct digits = 64 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=77.86 x[1] = 0.533 y1[1] (analytic) = 1.8612865901371401392031109589661 y1[1] (numeric) = 1.8612865901371401392031109589661 absolute error = 5e-63 relative error = 2.6863138790634055665129976478982e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5081194836354319274199857215036 y2[1] (numeric) = 1.5081194836354319274199857215036 absolute error = 1e-63 relative error = 6.6307743574098460670732175881598e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.534 y1[1] (analytic) = 1.8607780400949321020172572462665 y1[1] (numeric) = 1.8607780400949321020172572462665 absolute error = 5e-63 relative error = 2.6870480477859212486204507228446e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.508980516022300663642202267693 y2[1] (numeric) = 1.508980516022300663642202267693 absolute error = 1e-63 relative error = 6.6269908019489720880967078764287e-62 % Correct digits = 64 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=78.09 x[1] = 0.535 y1[1] (analytic) = 1.8602686292747557014002517105828 y1[1] (numeric) = 1.8602686292747557014002517105828 absolute error = 5e-63 relative error = 2.6877838615970747845657610397385e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5098410394286957926053431953273 y2[1] (numeric) = 1.5098410394286957926053431953273 absolute error = 0 relative error = 0 % Correct digits = 64 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=78.33 x[1] = 0.536 y1[1] (analytic) = 1.8597583581860217150775947025839 y1[1] (numeric) = 1.8597583581860217150775947025839 absolute error = 5e-63 relative error = 2.6885213221339783609855162017425e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5107010529940939796245610171836 y2[1] (numeric) = 1.5107010529940939796245610171836 absolute error = 0 relative error = 0 % Correct digits = 64 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=78.56 x[1] = 0.537 y1[1] (analytic) = 1.8592472273390011892606832345142 y1[1] (numeric) = 1.8592472273390011892606832345142 absolute error = 5e-63 relative error = 2.6892604310380598543425446762872e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.511560555858481730969463441633 y2[1] (numeric) = 1.511560555858481730969463441633 absolute error = 1e-63 relative error = 6.6156793793289744286127369165001e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.538 y1[1] (analytic) = 1.8587352372448249283758072913827 y1[1] (numeric) = 1.8587352372448249283758072913827 absolute error = 5e-63 relative error = 2.6900011899550708583991908218418e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5124195471623562538775354352446 y2[1] (numeric) = 1.5124195471623562538775354352446 absolute error = 0 relative error = 0 % Correct digits = 64 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=78.79 x[1] = 0.539 y1[1] (analytic) = 1.8582223884154829839333879989047 y1[1] (numeric) = 1.8582223884154829839333879989047 absolute error = 5e-63 relative error = 2.6907436005350947369223121520408e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5132780260467263160568603600697 y2[1] (numeric) = 1.5132780260467263160568603600697 absolute error = 0 relative error = 0 % Correct digits = 64 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=79.02 x[1] = 0.54 y1[1] (analytic) = 1.8577086813638241425379687789178 y1[1] (numeric) = 1.8577086813638241425379687789178 absolute error = 5e-63 relative error = 2.6914876644325547016896916446517e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5141359916531131046772806829582 y2[1] (numeric) = 1.5141359916531131046772806829582 absolute error = 0 relative error = 0 % Correct digits = 64 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=79.25 x[1] = 0.541 y1[1] (analytic) = 1.8571941166035554130394714822349 y1[1] (numeric) = 1.8571941166035554130394714822349 absolute error = 5e-63 relative error = 2.6922333833062219158678184633756e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.514993443123551084849139265818 y2[1] (numeric) = 1.514993443123551084849139265818 absolute error = 0 relative error = 0 % Correct digits = 64 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=79.48 x[1] = 0.542 y1[1] (analytic) = 1.8566786946492415128262303476392 y1[1] (numeric) = 1.8566786946492415128262303476392 absolute error = 4e-63 relative error = 2.1543846070553788982650015768004e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5158503796005888575887427581458 y2[1] (numeric) = 1.5158503796005888575887427581458 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.543 y1[1] (analytic) = 1.8561624160163043532603174939409 y1[1] (numeric) = 1.8561624160163043532603174939409 absolute error = 4e-63 relative error = 2.1549838341112410403952371017248e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.51670680022729001726968912644 y2[1] (numeric) = 1.51670680022729001726968912644 absolute error = 0 relative error = 0 % Correct digits = 64 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=79.71 x[1] = 0.544 y1[1] (analytic) = 1.8556452812210225242556745097304 y1[1] (numeric) = 1.8556452812210225242556745097304 absolute error = 4e-63 relative error = 2.1555843891500550729791814296391e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5175627041472340085592018692383 y2[1] (numeric) = 1.5175627041472340085592018692383 absolute error = 1e-63 relative error = 6.5895135487131736375143467608159e-62 % Correct digits = 64 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=79.94 x[1] = 0.545 y1[1] (analytic) = 1.8551272907805307779995655626503 y1[1] (numeric) = 1.8551272907805307779995655626503 absolute error = 4e-63 relative error = 2.1561862735128166059284574426445e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5184180905045169828386139815162 y2[1] (numeric) = 1.5184180905045169828386139815162 absolute error = 1e-63 relative error = 6.5858014090686652340412938864678e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1327.5MB, alloc=4.6MB, time=80.17 x[1] = 0.546 y1[1] (analytic) = 1.8546084452128195118178683066931 y1[1] (numeric) = 1.8546084452128195118178683066931 absolute error = 4e-63 relative error = 2.1567894885440323302065785485131e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5192729584437526541071452480364 y2[1] (numeric) = 1.5192729584437526541071452480364 absolute error = 1e-63 relative error = 6.5820956954590760020312419724000e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.547 y1[1] (analytic) = 1.8540887450367342501847197221881 y1[1] (numeric) = 1.8540887450367342501847197221881 absolute error = 4e-63 relative error = 2.1573940355917266235007275174285e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5201273071100731543681169619403 y2[1] (numeric) = 1.5201273071100731543681169619403 absolute error = 2e-63 relative error = 1.3156792793902353282183001672793e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1331.3MB, alloc=4.6MB, time=80.40 x[1] = 0.548 y1[1] (analytic) = 1.8535681907719751258770348787904 y1[1] (numeric) = 1.8535681907719751258770348787904 absolute error = 4e-63 relative error = 2.1579999160074481765882697297378e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5209811356491298884967486824406 y2[1] (numeric) = 1.5209811356491298884967486824406 absolute error = 2e-63 relative error = 1.3149407005277765589686737310604e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1335.1MB, alloc=4.6MB, time=80.63 x[1] = 0.549 y1[1] (analytic) = 1.8530467829390963602744174669085 y1[1] (numeric) = 1.8530467829390963602744174669085 absolute error = 4e-63 relative error = 2.1586071311462766404556587597340e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5218344432070943885886821638876 y2[1] (numeric) = 1.5218344432070943885886821638876 absolute error = 2e-63 relative error = 1.3142034003286360435776876540221e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1338.9MB, alloc=4.6MB, time=80.86 x[1] = 0.55 y1[1] (analytic) = 1.8525245220595057428049817976178 y1[1] (numeric) = 1.8525245220595057428049817976178 absolute error = 5e-63 relative error = 2.6990196029585366177845095383463e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5226872289306591677883781077573 y2[1] (numeric) = 1.5226872289306591677883781077573 absolute error = 2e-63 relative error = 1.3134673766224100386001291625475e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1342.8MB, alloc=4.6MB, time=81.09 x[1] = 0.551 y1[1] (analytic) = 1.8520014086554641095376068251937 y1[1] (numeric) = 1.8520014086554641095376068251937 absolute error = 4e-63 relative error = 2.1598255710312677339646152771187e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5235394919670385735965319092362 y2[1] (numeric) = 1.5235394919670385735965319092362 absolute error = 2e-63 relative error = 1.3127326272440790395214363251943e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.552 y1[1] (analytic) = 1.8514774432500848209211435999679 y1[1] (numeric) = 1.8514774432500848209211435999679 absolute error = 4e-63 relative error = 2.1604367985053045823871547455791e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5243912314639696406556550910571 y2[1] (numeric) = 1.5243912314639696406556550910571 absolute error = 2e-63 relative error = 1.3119991500339929637250736551079e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1346.6MB, alloc=4.6MB, time=81.32 x[1] = 0.553 y1[1] (analytic) = 1.8509526263673332386710984122557 y1[1] (numeric) = 1.8509526263673332386710984122557 absolute error = 4e-63 relative error = 2.1610493661582102195850474572438e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.525242446569712943012969639076 y2[1] (numeric) = 1.525242446569712943012969639076 absolute error = 1e-63 relative error = 6.5563347141892819147265765552922e-62 % Correct digits = 64 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=81.55 x[1] = 0.554 y1[1] (analytic) = 1.8504269585320262018043147406284 y1[1] (numeric) = 1.8504269585320262018043147406284 absolute error = 4e-63 relative error = 2.1616632753628195347707664501167e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5260931364330534458597629767672 y2[1] (numeric) = 1.5260931364330534458597629767672 absolute error = 1e-63 relative error = 6.5526800175335690251021978601290e-62 % Correct digits = 64 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=81.78 x[1] = 0.555 y1[1] (analytic) = 1.849900440269831501822177969805 y1[1] (numeric) = 1.849900440269831501822177969805 absolute error = 4e-63 relative error = 2.1622785274955386991356309165046e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5269433002033013567463518393519 y2[1] (numeric) = 1.5269433002033013567463518393519 absolute error = 1e-63 relative error = 6.5490316494846750238106202429870e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.556 y1[1] (analytic) = 1.8493730721072673570428676949146 y1[1] (numeric) = 1.8493730721072673570428676949146 absolute error = 4e-63 relative error = 2.1628951239363519598680745583701e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5277929370302929762718038326678 y2[1] (numeric) = 1.5277929370302929762718038326678 absolute error = 2e-63 relative error = 1.3090779198702004037576131955716e-61 % Correct digits = 64 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=82.01 x[1] = 0.557 y1[1] (analytic) = 1.8488448545717018860831832798337 y1[1] (numeric) = 1.8488448545717018860831832798337 absolute error = 4e-63 relative error = 2.1635130660688284553933913015302e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5286420460643915482475659871291 y2[1] (numeric) = 1.5286420460643915482475659871291 absolute error = 2e-63 relative error = 1.3083507712934864989220081231567e-61 % Correct digits = 64 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=82.24 x[1] = 0.558 y1[1] (analytic) = 1.8483157881913525804904691877283 y1[1] (numeric) = 1.8483157881913525804904691877283 absolute error = 4e-63 relative error = 2.1641323552801290518945837434768e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5294906264564881093341501432183 y2[1] (numeric) = 1.5294906264564881093341501432183 absolute error = 2e-63 relative error = 1.3076248820390513396188034879884e-61 % Correct digits = 64 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=82.47 x[1] = 0.559 y1[1] (analytic) = 1.8477858734952857765251674518325 y1[1] (numeric) = 1.8477858734952857765251674518325 absolute error = 4e-63 relative error = 2.1647529929610132011741623623454e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.530338677358002338150025531897 y2[1] (numeric) = 1.530338677358002338150025531897 absolute error = 2e-63 relative error = 1.3069002499844200531675673987110e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1369.5MB, alloc=4.6MB, time=82.70 x[1] = 0.56 y1[1] (analytic) = 1.8472551110134161260945255038663 y1[1] (numeric) = 1.8472551110134161260945255038663 absolute error = 4e-63 relative error = 2.1653749805058458199169669898678e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.531186197920883403851869441112 y2[1] (numeric) = 1.531186197920883403851869441112 absolute error = 2e-63 relative error = 1.3061768730123704185584278128487e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.561 y1[1] (analytic) = 1.846723501276506066837988426341 y1[1] (numeric) = 1.846723501276506066837988426341 absolute error = 4e-63 relative error = 2.1659983193126041904143063526408e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5320331872976108141853273882178 y2[1] (numeric) = 1.5320331872976108141853273882178 absolute error = 2e-63 relative error = 1.3054547490109184881937928507617e-61 % Correct digits = 64 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=82.94 x[1] = 0.562 y1[1] (analytic) = 1.8461910448161652913648055433158 y1[1] (numeric) = 1.8461910448161652913648055433158 absolute error = 4e-63 relative error = 2.1666230107828848828099366173682e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5328796446411952630054347476258 y2[1] (numeric) = 1.5328796446411952630054347476258 absolute error = 2e-63 relative error = 1.3047338758733042574784928271987e-61 % Correct digits = 64 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=83.17 x[1] = 0.563 y1[1] (analytic) = 1.8456577421648502156443821119545 y1[1] (numeric) = 1.8456577421648502156443821119545 absolute error = 4e-63 relative error = 2.1672490563219106989286258405469e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5337255691051794772658523133289 y2[1] (numeric) = 1.5337255691051794772658523133289 absolute error = 3e-63 relative error = 1.9560213772469660731204329296349e-61 % Correct digits = 64 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=83.40 x[1] = 0.564 y1[1] (analytic) = 1.8451235938558634465499077244873 y1[1] (numeric) = 1.8451235938558634465499077244873 absolute error = 4e-63 relative error = 2.1678764573385376377482780250437e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5345709598436390634760688071373 y2[1] (numeric) = 1.5345709598436390634760688071373 absolute error = 2e-63 relative error = 1.3032958737885829426834442747690e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.565 y1[1] (analytic) = 1.8445886004233532485557938769029 y1[1] (numeric) = 1.8445886004233532485557938769029 absolute error = 4e-63 relative error = 2.1685052152452618825768181288419e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5354158160111833536257238754924 y2[1] (numeric) = 1.5354158160111833536257238754924 absolute error = 2e-63 relative error = 1.3025787406539472570588115130142e-61 % Correct digits = 64 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=83.63 x[1] = 0.566 y1[1] (analytic) = 1.8440527624023130095894540068917 y1[1] (numeric) = 1.8440527624023130095894540068917 absolute error = 4e-63 relative error = 2.1691353314582268099952678586362e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5362601367629562505752056506075 y2[1] (numeric) = 1.5362601367629562505752056506075 absolute error = 2e-63 relative error = 1.3018628500080637392746200582799e-61 % Correct digits = 64 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=83.86 x[1] = 0.567 y1[1] (analytic) = 1.8435160803285807060379601492125 y1[1] (numeric) = 1.8435160803285807060379601492125 absolute error = 4e-63 relative error = 2.1697668073972300206286714166401e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5371039212546370729116774854067 y2[1] (numeric) = 1.5371039212546370729116774854067 absolute error = 3e-63 relative error = 1.9517222996551182088093657339211e-61 % Correct digits = 64 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=84.09 x[1] = 0.568 y1[1] (analytic) = 1.842978554738838366910111201784 y1[1] (numeric) = 1.842978554738838366910111201784 absolute error = 3e-63 relative error = 1.6277997333642977938550704175231e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5379471686424413992696890063077 y2[1] (numeric) = 1.5379471686424413992696890063077 absolute error = 3e-63 relative error = 1.9506521817964167432559284414347e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.569 y1[1] (analytic) = 1.8424401861706115371544486403868 y1[1] (numeric) = 1.8424401861706115371544486403868 absolute error = 3e-63 relative error = 1.6282753831131413641323595119793e-61 % Correct digits = 64 memory used=1396.2MB, alloc=4.6MB, time=84.32 h = 0.001 y2[1] (analytic) = 1.5387898780831219121155271633056 y2[1] (numeric) = 1.5387898780831219121155271633056 absolute error = 3e-63 relative error = 1.9495839183301067027675885089173e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.57 y1[1] (analytic) = 1.841900975162268740133756363916 y1[1] (numeric) = 1.841900975162268740133756363916 absolute error = 3e-63 relative error = 1.6287520558675552337465407186866e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5396320487339692409944634930788 y2[1] (numeric) = 1.5396320487339692409944634930788 absolute error = 3e-63 relative error = 1.9485175061579700794464170931228e-61 % Correct digits = 64 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=84.55 x[1] = 0.571 y1[1] (analytic) = 1.841360922253020939256582195639 y1[1] (numeric) = 1.841360922253020939256582195639 absolute error = 3e-63 relative error = 1.6292297527034033351263961234980e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.540473679752812805240054347939 y2[1] (numeric) = 1.540473679752812805240054347939 absolute error = 3e-63 relative error = 1.9474529421894345054352430921479e-61 % Correct digits = 64 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=84.78 x[1] = 0.572 y1[1] (analytic) = 1.8408200279829209987663194088936 y1[1] (numeric) = 1.8408200279829209987663194088936 absolute error = 3e-63 relative error = 1.6297084746993168813186822560006e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5413147702980216561446513813949 y2[1] (numeric) = 1.5413147702980216561446513813949 absolute error = 2e-63 relative error = 1.2975934822277016403495537114563e-61 % Correct digits = 64 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=85.01 x[1] = 0.573 y1[1] (analytic) = 1.8402782928928631436883874880982 y1[1] (numeric) = 1.8402782928928631436883874880982 absolute error = 3e-63 relative error = 1.6301882229366997382724940634816e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5421553195285053185902801198912 y2[1] (numeric) = 1.5421553195285053185902801198912 absolute error = 3e-63 relative error = 1.9453293465389805486540585253688e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.574 y1[1] (analytic) = 1.8397357175245824189360521778498 y1[1] (numeric) = 1.8397357175245824189360521778498 absolute error = 3e-63 relative error = 1.6306689984997338138230970683440e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5429953266037146321390449899122 y2[1] (numeric) = 1.5429953266037146321390449899122 absolute error = 3e-63 relative error = 1.9442703087139588430586632239338e-61 % Correct digits = 64 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=85.24 x[1] = 0.575 y1[1] (analytic) = 1.8391923024206541475754257142438 y1[1] (numeric) = 1.8391923024206541475754257142438 absolute error = 2e-63 relative error = 1.0874338683169229756152475618934e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5438347906836425915822197101162 y2[1] (numeric) = 1.5438347906836425915822197101162 absolute error = 3e-63 relative error = 1.9432131068062902997971764793626e-61 % Correct digits = 64 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=85.47 x[1] = 0.576 y1[1] (analytic) = 1.8386480481244933882501889733704 y1[1] (numeric) = 1.8386480481244933882501889733704 absolute error = 2e-63 relative error = 1.0877557573022706084447925270713e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5446737109288251869471824994803 y2[1] (numeric) = 1.5446737109288251869471824994803 absolute error = 3e-63 relative error = 1.9421577377633202394187618006424e-61 % Correct digits = 64 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=85.70 x[1] = 0.577 y1[1] (analytic) = 1.8381029551803543917665781122205 y1[1] (numeric) = 1.8381029551803543917665781122205 absolute error = 2e-63 relative error = 1.0880783333508977977754824966541e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5455120865003422429613560945909 y2[1] (numeric) = 1.5455120865003422429613560945909 absolute error = 2e-63 relative error = 1.2940694656932772643404756923810e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.578 y1[1] (analytic) = 1.837557024133330056839179116969 y1[1] (numeric) = 1.837557024133330056839179116969 absolute error = 2e-63 relative error = 1.0884015971930367441932507215877e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.546349916559818257972313112208 y2[1] (numeric) = 1.546349916559818257972313112208 absolute error = 2e-63 relative error = 1.2933683240656306912522951192206e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1422.9MB, alloc=4.6MB, time=85.93 TOP MAIN SOLVE Loop x[1] = 0.579 y1[1] (analytic) = 1.8370102555293513849980745127954 y1[1] (numeric) = 1.8370102555293513849980745127954 absolute error = 2e-63 relative error = 1.0887255495607898075981106054136e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5471872002694232423232078370701 y2[1] (numeric) = 1.5471872002694232423232078370701 absolute error = 2e-63 relative error = 1.2926683982725070947385509536358e-61 % Correct digits = 64 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=86.16 x[1] = 0.58 y1[1] (analytic) = 1.83646264991518693465788732805 y1[1] (numeric) = 1.83646264991518693465788732805 absolute error = 3e-63 relative error = 1.6335752867821997509936394048180e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5480239367918735561826960595765 y2[1] (numeric) = 1.5480239367918735561826960595765 absolute error = 1e-63 relative error = 6.4598484314939022042044913285793e-62 % Correct digits = 64 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=86.40 x[1] = 0.581 y1[1] (analytic) = 1.8359142078384422743492682436758 y1[1] (numeric) = 1.8359142078384422743492682436758 absolute error = 3e-63 relative error = 1.6340632842163807404705066431118e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.548860125290432746828505133497 y2[1] (numeric) = 1.548860125290432746828505133497 absolute error = 1e-63 relative error = 6.4563609306714260982016396863418e-62 % Correct digits = 64 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=86.63 x[1] = 0.582 y1[1] (analytic) = 1.8353649298475594351133726963536 y1[1] (numeric) = 1.8353649298475594351133726963536 absolute error = 3e-63 relative error = 1.6345523177503299459114140435803e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5496957649289123853838169702094 y2[1] (numeric) = 1.5496957649289123853838169702094 absolute error = 1e-63 relative error = 6.4528794788690151770263865537681e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.583 y1[1] (analytic) = 1.834814816491816362059875540848 y1[1] (numeric) = 1.834814816491816362059875540848 absolute error = 3e-63 relative error = 1.6350423884934769355369367507401e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5505308548716729030056272331506 y2[1] (numeric) = 1.5505308548716729030056272331506 absolute error = 2e-63 relative error = 1.2898808132170492410026143594101e-61 % Correct digits = 64 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=86.86 x[1] = 0.584 y1[1] (analytic) = 1.8342638683213263650890717134926 y1[1] (numeric) = 1.8342638683213263650890717134926 absolute error = 3e-63 relative error = 1.6355334975580841383330594376421e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5513653942836244265242445441924 y2[1] (numeric) = 1.5513653942836244265242445441924 absolute error = 2e-63 relative error = 1.2891869364686596164085433579157e-61 % Correct digits = 64 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=87.09 x[1] = 0.585 y1[1] (analytic) = 1.8337120858870375687786121746697 y1[1] (numeric) = 1.8337120858870375687786121746697 absolute error = 3e-63 relative error = 1.6360256460592524199130980060310e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5521993823302276135330940625129 y2[1] (numeric) = 1.5521993823302276135330940625129 absolute error = 2e-63 relative error = 1.2884942635381770911571630836674e-61 % Correct digits = 64 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=87.32 x[1] = 0.586 y1[1] (analytic) = 1.8331594697407323614354252435015 y1[1] (numeric) = 1.8331594697407323614354252435015 absolute error = 2e-63 relative error = 1.0910125567432844504417995235233e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.553032818177494486927990346228 y2[1] (numeric) = 1.553032818177494486927990346228 absolute error = 2e-63 relative error = 1.2878027924400385105650884703437e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.587 y1[1] (analytic) = 1.8326060204350268433133742727858 y1[1] (numeric) = 1.8326060204350268433133742727858 absolute error = 2e-63 relative error = 1.0913420438972676274784941109847e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5538657009919892688950449575815 y2[1] (numeric) = 1.5538657009919892688950449575815 absolute error = 2e-63 relative error = 1.2871125211935614455712233839517e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1449.6MB, alloc=4.6MB, time=87.55 TOP MAIN SOLVE Loop x[1] = 0.588 y1[1] (analytic) = 1.8320517385233702739972034464729 y1[1] (numeric) = 1.8320517385233702739972034464729 absolute error = 2e-63 relative error = 1.0916722262505510135500944259916e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5546980299408292143463748238537 y2[1] (numeric) = 1.5546980299408292143463748238537 absolute error = 2e-63 relative error = 1.2864234478229310460314458130988e-61 % Correct digits = 64 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=87.78 x[1] = 0.589 y1[1] (analytic) = 1.8314966245600445189533243156914 y1[1] (numeric) = 1.8314966245600445189533243156914 absolute error = 2e-63 relative error = 1.0920031045541417534245146194808e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5555298041916854438027779183523 y2[1] (numeric) = 1.5555298041916854438027779183523 absolute error = 2e-63 relative error = 1.2857355703571869373086372756927e-61 % Correct digits = 64 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=88.01 x[1] = 0.59 y1[1] (analytic) = 1.8309406791001634952479965224907 y1[1] (numeric) = 1.8309406791001634952479965224907 absolute error = 2e-63 relative error = 1.0923346795609580426579042515074e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5563610229127837757225433788758 y2[1] (numeric) = 1.5563610229127837757225433788758 absolute error = 2e-63 relative error = 1.2850488868302101599991556595291e-61 % Correct digits = 64 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=88.24 x[1] = 0.591 y1[1] (analytic) = 1.8303839026996726164334569930729 y1[1] (numeric) = 1.8303839026996726164334569930729 absolute error = 2e-63 relative error = 1.0926669520258329144689532205574e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5571916852729055582755637349123 y2[1] (numeric) = 1.5571916852729055582755637349123 absolute error = 1e-63 relative error = 6.4218169764035507631875752501531e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.592 y1[1] (analytic) = 1.8298262959153482366025527143388 y1[1] (numeric) = 1.8298262959153482366025527143388 absolute error = 3e-63 relative error = 1.6394998840582770575046121899328e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5580217904413885005619174695279 y2[1] (numeric) = 1.5580217904413885005619174695279 absolute error = 1e-63 relative error = 6.4183954687610588861084868521726e-62 % Correct digits = 64 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=88.47 x[1] = 0.593 y1[1] (analytic) = 1.8292678593047970936124330390686 y1[1] (numeric) = 1.8292678593047970936124330390686 absolute error = 3e-63 relative error = 1.6400003885380312955306493028768e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5588513375881275032740906974331 y2[1] (numeric) = 1.5588513375881275032740906974331 absolute error = 1e-63 relative error = 6.4149799014652119370108944178993e-62 % Correct digits = 64 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=88.70 x[1] = 0.594 y1[1] (analytic) = 1.8287085934264557514778582959995 y1[1] (numeric) = 1.8287085934264557514778582959995 absolute error = 3e-63 relative error = 1.6405019426189126630628596989298e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.559680325883575488802007297074 y2[1] (numeric) = 1.559680325883575488802007297074 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1472.5MB, alloc=4.6MB, time=88.94 x[1] = 0.595 y1[1] (analytic) = 1.8281484988395900419346823114442 y1[1] (numeric) = 1.8281484988395900419346823114442 absolute error = 3e-63 relative error = 1.6410045474447168914808176465499e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5605087544987442307800373917875 y2[1] (numeric) = 1.5605087544987442307800373917875 absolute error = 1e-63 relative error = 6.4081665489996757197356868796453e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.596 y1[1] (analytic) = 1.827587576104294505174067278921 y1[1] (numeric) = 1.827587576104294505174067278921 absolute error = 3e-63 relative error = 1.6415082041621406350092947536574e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5613366226052051830751546330814 y2[1] (numeric) = 1.5613366226052051830751546330814 absolute error = 1e-63 relative error = 6.4047687444327433187380608969228e-62 % Correct digits = 64 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=89.17 x[1] = 0.597 y1[1] (analytic) = 1.8270258257814918297479902425356 y1[1] (numeric) = 1.8270258257814918297479902425356 absolute error = 3e-63 relative error = 1.6420129139207872573066747797269e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5621639293750903082154132979511 y2[1] (numeric) = 1.5621639293750903082154132979511 absolute error = 0 relative error = 0 % Correct digits = 64 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=89.40 x[1] = 0.598 y1[1] (analytic) = 1.8264632484329322916466012885597 y1[1] (numeric) = 1.8264632484329322916466012885597 absolute error = 3e-63 relative error = 1.6425186778731726359467495125229e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5629906739810929052579167718239 y2[1] (numeric) = 1.5629906739810929052579167718239 absolute error = 0 relative error = 0 % Correct digits = 64 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=89.63 x[1] = 0.599 y1[1] (analytic) = 1.8258998446211931925479943678021 y1[1] (numeric) = 1.8258998446211931925479943678021 absolute error = 4e-63 relative error = 2.1907006628996413131279966373850e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5638168555964684370954495492333 y2[1] (numeric) = 1.5638168555964684370954495492333 absolute error = 1e-63 relative error = 6.3946107015107063474105302038151e-62 % Correct digits = 64 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=89.87 x[1] = 0.6 y1[1] (analytic) = 1.8253356149096782972409524989554 y1[1] (numeric) = 1.8253356149096782972409524989554 absolute error = 3e-63 relative error = 1.6435333729838206946886419039459e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5646424733950353572009454456587 y2[1] (numeric) = 1.5646424733950353572009454456587 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.601 y1[1] (analytic) = 1.8247705598626172702212299301249 y1[1] (numeric) = 1.8247705598626172702212299301249 absolute error = 3e-63 relative error = 1.6440423064617301914019797478743e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5654675265511759358089652761314 y2[1] (numeric) = 1.5654675265511759358089652761314 absolute error = 1e-63 relative error = 6.3878680524473305799945096314815e-62 % Correct digits = 64 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=90.10 x[1] = 0.602 y1[1] (analytic) = 1.8242046800450651114619346622117 y1[1] (numeric) = 1.8242046800450651114619346622117 absolute error = 3e-63 relative error = 1.6445522987726838127346697354094e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5662920142398370855333578191989 y2[1] (numeric) = 1.5662920142398370855333578191989 absolute error = 1e-63 relative error = 6.3845055130752641411171578160599e-62 % Correct digits = 64 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=90.33 x[1] = 0.603 y1[1] (analytic) = 1.8236379760229015913585755637194 y1[1] (numeric) = 1.8236379760229015913585755637194 absolute error = 3e-63 relative error = 1.6450633510838477029908642321072e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5671159356365311864202784486542 y2[1] (numeric) = 1.5671159356365311864202784486542 absolute error = 1e-63 relative error = 6.3811488177728214934517328677674e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1499.2MB, alloc=4.6MB, time=90.56 x[1] = 0.604 y1[1] (analytic) = 1.8230704483628306848493391318916 y1[1] (numeric) = 1.8230704483628306848493391318916 absolute error = 3e-63 relative error = 1.6455754645653357259732674024012e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5679392899173369104357403800814 y2[1] (numeric) = 1.5679392899173369104357403800814 absolute error = 1e-63 relative error = 6.3777979570415691820221427458147e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.605 y1[1] (analytic) = 1.822502097632380004711161779855 y1[1] (numeric) = 1.822502097632380004711161779855 absolute error = 3e-63 relative error = 1.6460886403902153961884004893403e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5687620762589000453868740447335 y2[1] (numeric) = 1.5687620762589000453868740447335 absolute error = 1e-63 relative error = 6.3744529214063266591430593583494e-62 % Correct digits = 64 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=90.79 x[1] = 0.606 y1[1] (analytic) = 1.8219329243999002340321643536487 y1[1] (numeric) = 1.8219329243999002340321643536487 absolute error = 3e-63 relative error = 1.6466028797345138283675541859942e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.569584293838434318276070669554 y2[1] (numeric) = 1.569584293838434318276070669554 absolute error = 2e-63 relative error = 1.2742227402830208657158999414139e-61 % Correct digits = 64 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=91.02 x[1] = 0.607 y1[1] (analytic) = 1.8213629292345645578610164066595 y1[1] (numeric) = 1.8213629292345645578610164066595 absolute error = 3e-63 relative error = 1.6471181837772237053571079654513e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5704059418337222180871867092646 y2[1] (numeric) = 1.5704059418337222180871867092646 absolute error = 2e-63 relative error = 1.2735560575278083584756018552104e-61 % Correct digits = 64 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=91.25 x[1] = 0.608 y1[1] (analytic) = 1.8207921127063680940337985820488 y1[1] (numeric) = 1.8207921127063680940337985820488 absolute error = 2e-63 relative error = 1.0984230358002061762880645966620e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5712270194231158180029863443854 y2[1] (numeric) = 1.5712270194231158180029863443854 absolute error = 2e-63 relative error = 1.2728905341344692599264905000915e-61 % Correct digits = 64 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=91.48 x[1] = 0.609 y1[1] (analytic) = 1.8202204753861273231789322762638 y1[1] (numeric) = 1.8202204753861273231789322762638 absolute error = 2e-63 relative error = 1.0987679937924748680580719230932e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5720475257855375970529998278124 y2[1] (numeric) = 1.5720475257855375970529998278124 absolute error = 2e-63 relative error = 1.2722261682264462792900945345545e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.61 y1[1] (analytic) = 1.8196480178454795179007465786548 y1[1] (numeric) = 1.8196480178454795179007465786548 absolute error = 3e-63 relative error = 1.6486704959303581973587895142480e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5728674601004812611909760321627 y2[1] (numeric) = 1.5728674601004812611909760321627 absolute error = 2e-63 relative error = 1.2715629579317711552779454373119e-61 % Correct digits = 64 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=91.71 x[1] = 0.611 y1[1] (analytic) = 1.8190747406568821711422533035835 y1[1] (numeric) = 1.8190747406568821711422533035835 absolute error = 2e-63 relative error = 1.0994600470774413024896417000660e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5736868215480125638011081205036 y2[1] (numeric) = 1.5736868215480125638011081205036 absolute error = 2e-63 relative error = 1.2709009013830524661272067301762e-61 % Correct digits = 64 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=91.95 x[1] = 0.612 y1[1] (analytic) = 1.8185006443936124237277017522008 y1[1] (numeric) = 1.8185006443936124237277017522008 absolute error = 3e-63 relative error = 1.6497107159400342597015220049171e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5745056093087701256322118343075 y2[1] (numeric) = 1.5745056093087701256322118343075 absolute error = 2e-63 relative error = 1.2702399967174634794397156405652e-61 % Correct digits = 64 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=92.17 x[1] = 0.613 y1[1] (analytic) = 1.8179257296297664910854856612912 y1[1] (numeric) = 1.8179257296297664910854856612912 absolute error = 3e-63 relative error = 1.6502324330988875679925261179216e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5753238225639662541590364645238 y2[1] (numeric) = 1.5753238225639662541590364645238 absolute error = 2e-63 relative error = 1.2695802420767300416800678741309e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.614 y1[1] (analytic) = 1.8173499969402590891519756162284 y1[1] (numeric) = 1.8173499969402590891519756162284 absolute error = 2e-63 relative error = 1.1005034821950947957207152915628e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.576141460495387762369889144524 y2[1] (numeric) = 1.576141460495387762369889144524 absolute error = 2e-63 relative error = 1.2689216356071185071889738330925e-61 % Correct digits = 64 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=92.40 x[1] = 0.615 y1[1] (analytic) = 1.8167734469008228594568510241632 y1[1] (numeric) = 1.8167734469008228594568510241632 absolute error = 2e-63 relative error = 1.1008527251494882869891808535328e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5769585222853967869797536773647 y2[1] (numeric) = 1.5769585222853967869797536773647 absolute error = 3e-63 relative error = 1.9023962631891355598530643321735e-61 % Correct digits = 64 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=92.64 x[1] = 0.616 y1[1] (analytic) = 1.8161960800880077933905065620621 y1[1] (numeric) = 1.8161960800880077933905065620621 absolute error = 3e-63 relative error = 1.6518040275996126874238197274970e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5777750071169316060680856843173 y2[1] (numeric) = 1.5777750071169316060680856843173 absolute error = 2e-63 relative error = 1.2676078597889569542980778714346e-61 % Correct digits = 64 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=92.86 x[1] = 0.617 y1[1] (analytic) = 1.8156178970791806556541088321442 y1[1] (numeric) = 1.8156178970791806556541088321442 absolute error = 3e-63 relative error = 1.6523300441277636424119149865526e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5785909141735074561404664369381 y2[1] (numeric) = 1.5785909141735074561404664369381 absolute error = 2e-63 relative error = 1.2669526867555340954348848200086e-61 % Correct digits = 64 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=93.10 x[1] = 0.618 y1[1] (analytic) = 1.8150388984525244068928797746095 y1[1] (numeric) = 1.8150388984525244068928797746095 absolute error = 2e-63 relative error = 1.1019047590137989442002796207307e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.579406242639217348613298311092 y2[1] (numeric) = 1.579406242639217348613298311092 absolute error = 2e-63 relative error = 1.2662986545234635912645231734243e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.619 y1[1] (analytic) = 1.8144590847870376255131842043293 y1[1] (numeric) = 1.8144590847870376255131842043293 absolute error = 2e-63 relative error = 1.1022568746623125102446179314007e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5802209916987328857207253783037 y2[1] (numeric) = 1.5802209916987328857207253783037 absolute error = 3e-63 relative error = 1.8984686418923019656307587032542e-61 % Correct digits = 64 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=93.32 x[1] = 0.62 y1[1] (analytic) = 1.8138784566625339286839996543607 y1[1] (numeric) = 1.8138784566625339286839996543607 absolute error = 3e-63 relative error = 1.6539145657641712929835758963719e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5810351605373050758429632275822 y2[1] (numeric) = 1.5810351605373050758429632275822 absolute error = 2e-63 relative error = 1.2649940051430053586700397545788e-61 % Correct digits = 64 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=93.56 x[1] = 0.621 y1[1] (analytic) = 1.8132970146596413925233475247695 y1[1] (numeric) = 1.8132970146596413925233475247695 absolute error = 3e-63 relative error = 1.6544449010539536804286702935608e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.581848748340765148255222689459 y2[1] (numeric) = 1.581848748340765148255222689459 absolute error = 3e-63 relative error = 1.8965150765183864208374662178217e-61 % Correct digits = 64 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=93.79 x[1] = 0.622 y1[1] (analytic) = 1.8127147593598019714702653502798 y1[1] (numeric) = 1.8127147593598019714702653502798 absolute error = 2e-63 relative error = 1.1033175460580139579315861273483e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5826617542955253672964127133811 y2[1] (numeric) = 1.5826617542955253672964127133811 absolute error = 3e-63 relative error = 1.8955408455771779491585867654627e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.623 y1[1] (analytic) = 1.8121316913452709168429008147311 y1[1] (numeric) = 1.8121316913452709168429008147311 absolute error = 2e-63 relative error = 1.1036725473937611125123335192548e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.583474177588579845956808229827 y2[1] (numeric) = 1.583474177588579845956808229827 absolute error = 3e-63 relative error = 1.8945683121707738936293848605674e-61 % Correct digits = 64 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=94.02 x[1] = 0.624 y1[1] (analytic) = 1.8115478111991161945833089542001 y1[1] (numeric) = 1.8115478111991161945833089542001 absolute error = 1e-63 relative error = 5.5201413609838478939482807984083e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.584286017407505358883869409543 y2[1] (numeric) = 1.584286017407505358883869409543 absolute error = 3e-63 relative error = 1.8935974735856984351234550690507e-61 % Correct digits = 64 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=94.25 x[1] = 0.625 y1[1] (analytic) = 1.8109631195052179021895348039411 y1[1] (numeric) = 1.8109631195052179021895348039411 absolute error = 1e-63 relative error = 5.5219236064465790700071064998030e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5850972729404621548053993141501 y2[1] (numeric) = 1.5850972729404621548053993141501 absolute error = 3e-63 relative error = 1.8926283271150911962679872500922e-61 % Correct digits = 64 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=94.48 x[1] = 0.626 y1[1] (analytic) = 1.810377616848267684835564557014 y1[1] (numeric) = 1.810377616848267684835564557014 absolute error = 1e-63 relative error = 5.5237094774786564472386373525763e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5859079433761947683692275150305 y2[1] (numeric) = 1.5859079433761947683692275150305 absolute error = 3e-63 relative error = 1.8916608700586898297382068101448e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.627 y1[1] (analytic) = 1.8097913038137681506797291146007 y1[1] (numeric) = 1.8097913038137681506797291146007 absolute error = 1e-63 relative error = 5.5254989782120336086716516696326e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5867180279040328313986078408783 y2[1] (numeric) = 1.5867180279040328313986078408783 absolute error = 3e-63 relative error = 1.8906950997228126631009231367575e-61 % Correct digits = 64 h = 0.001 memory used=1567.8MB, alloc=4.6MB, time=94.71 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.628 y1[1] (analytic) = 1.8092041809880322853621447195559 y1[1] (numeric) = 1.8092041809880322853621447195559 absolute error = 1e-63 relative error = 5.5272921127889815852276801336128e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5875275257138918835625189985835 y2[1] (numeric) = 1.5875275257138918835625189985835 absolute error = 3e-63 relative error = 1.8897310134203414000036595335171e-61 % Correct digits = 64 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=94.95 x[1] = 0.629 y1[1] (analytic) = 1.8086162489581828656917761757053 y1[1] (numeric) = 1.8086162489581828656917761757053 absolute error = 1e-63 relative error = 5.5290888853621101424270654772052e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5883364359962741824600573972178 y2[1] (numeric) = 1.5883364359962741824600573972178 absolute error = 2e-63 relative error = 1.2591790723138025850044501659218e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1575.5MB, alloc=4.6MB, time=95.18 x[1] = 0.63 y1[1] (analytic) = 1.8080275083121518725237089657771 y1[1] (numeric) = 1.8080275083121518725237089657771 absolute error = 1e-63 relative error = 5.5308893000943891326315984017500e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5891447579422695131181120907946 y2[1] (numeric) = 1.5891447579422695131181120907946 absolute error = 2e-63 relative error = 1.2585385881332379195706824475417e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1579.3MB, alloc=4.6MB, time=95.41 x[1] = 0.631 y1[1] (analytic) = 1.8074379596386799028272173906462 y1[1] (numeric) = 1.8074379596386799028272173906462 absolute error = 1e-63 relative error = 5.5326933611591699130194435559532e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5899524907435559969015123421982 y2[1] (numeric) = 1.5899524907435559969015123421982 absolute error = 2e-63 relative error = 1.2578992212935126699977469799011e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.632 y1[1] (analytic) = 1.8068476035273155809452166617754 y1[1] (numeric) = 1.8068476035273155809452166617754 absolute error = 1e-63 relative error = 5.5345010727402068294888027796888e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5907596335924008998348388981996 y2[1] (numeric) = 1.5907596335924008998348388981996 absolute error = 2e-63 relative error = 1.2572609700206023960834142747431e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1583.1MB, alloc=4.6MB, time=95.65 x[1] = 0.633 y1[1] (analytic) = 1.8062564405684149690456876873498 y1[1] (numeric) = 1.8062564405684149690456876873498 absolute error = 1e-63 relative error = 5.5363124390316787666874990419577e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5915661856816614403350906538176 y2[1] (numeric) = 1.5915661856816614403350906538176 absolute error = 2e-63 relative error = 1.2566238325448011377221545394271e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1586.9MB, alloc=4.6MB, time=95.88 x[1] = 0.634 y1[1] (analytic) = 1.8056644713531409767656641006335 y1[1] (numeric) = 1.8056644713531409767656641006335 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.592372146204785596354398973423 y2[1] (numeric) = 1.592372146204785596354398973423 absolute error = 2e-63 relative error = 1.2559878071007101049285920250395e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1590.7MB, alloc=4.6MB, time=96.11 x[1] = 0.635 y1[1] (analytic) = 1.8050716964734627700483718865097 y1[1] (numeric) = 1.8050716964734627700483718865097 absolute error = 1e-63 relative error = 5.5399461525748957002553706890178e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5931775143558129119319825259412 y2[1] (numeric) = 1.5931775143558129119319825259412 absolute error = 2e-63 relative error = 1.2553528919272264044903775949830e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.636 y1[1] (analytic) = 1.8044781165221551791741127690167 y1[1] (numeric) = 1.8044781165221551791741127690167 absolute error = 1e-63 relative error = 5.5417685082673160396610894411298e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5939822893293753031545360822647 y2[1] (numeric) = 1.5939822893293753031545360822647 absolute error = 2e-63 relative error = 1.2547190852675318031191904319242e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1594.5MB, alloc=4.6MB, time=96.34 TOP MAIN SOLVE Loop x[1] = 0.637 y1[1] (analytic) = 1.8038837320927981059854833289476 y1[1] (numeric) = 1.8038837320927981059854833289476 absolute error = 2e-63 relative error = 1.1087189071103131303974018632018e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5947864703206978635242473145531 y2[1] (numeric) = 1.5947864703206978635242473145531 absolute error = 2e-63 relative error = 1.2540863853690815269691181091352e-61 % Correct digits = 64 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=96.57 x[1] = 0.638 y1[1] (analytic) = 1.8032885437797759303075226262437 y1[1] (numeric) = 1.8032885437797759303075226262437 absolute error = 2e-63 relative error = 1.1090848477348543388752494721453e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5955900565255996687336362294726 y2[1] (numeric) = 1.5955900565255996687336362294726 absolute error = 2e-63 relative error = 1.2534547904835930973922001317980e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1602.2MB, alloc=4.6MB, time=96.80 x[1] = 0.639 y1[1] (analytic) = 1.8026925521782769155633819069852 y1[1] (numeric) = 1.8026925521782769155633819069852 absolute error = 1e-63 relative error = 5.5472576218926165626791380232916e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5963930471404945808464124606007 y2[1] (numeric) = 1.5963930471404945808464124606007 absolute error = 2e-63 relative error = 1.2528242988670352028014535168749e-61 % Correct digits = 64 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=97.03 x[1] = 0.64 y1[1] (analytic) = 1.8020957578842926135861107792603 y1[1] (numeric) = 1.8020957578842926135861107792603 absolute error = 1e-63 relative error = 5.5490946894743599099478432799465e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5971954413623920518835462392079 y2[1] (numeric) = 1.5971954413623920518835462392079 absolute error = 2e-63 relative error = 1.2521949087796166065122300387062e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.641 y1[1] (analytic) = 1.8014981614946172686271550460771 y1[1] (numeric) = 1.8014981614946172686271550460771 absolute error = 1e-63 relative error = 5.5509354456978607326612000886463e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5979972383888979268137494574101 y2[1] (numeric) = 1.5979972383888979268137494574101 absolute error = 2e-63 relative error = 1.2515666184857750904332834335741e-61 % Correct digits = 64 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=97.26 x[1] = 0.642 y1[1] (analytic) = 1.8008997636068472205621621867689 y1[1] (numeric) = 1.8008997636068472205621621867689 absolute error = 2e-63 relative error = 1.1105559789704199049767489145729e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5987984374182152459475638332798 y2[1] (numeric) = 1.5987984374182152459475638332798 absolute error = 2e-63 relative error = 1.2509394262541664344794511419648e-61 % Correct digits = 64 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=97.49 x[1] = 0.643 y1[1] (analytic) = 1.8003005648193803072946912810412 y1[1] (numeric) = 1.8003005648193803072946912810412 absolute error = 2e-63 relative error = 1.1109256082473401001127235364241e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.5995990376491450467342537838931 y2[1] (numeric) = 1.5995990376491450467342537838931 absolute error = 3e-63 relative error = 1.8754699955364801473675686260484e-61 % Correct digits = 64 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=97.73 x[1] = 0.644 y1[1] (analytic) = 1.7997005657314152663584249718963 y1[1] (numeric) = 1.7997005657314152663584249718963 absolute error = 2e-63 relative error = 1.1112959778323907768349650803840e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6003990382810871649607022094871 y2[1] (numeric) = 1.6003990382810871649607022094871 absolute error = 2e-63 relative error = 1.2496883290732949381442395235872e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.645 y1[1] (analytic) = 1.7990997669429511357184818651779 y1[1] (numeric) = 1.7990997669429511357184818651779 absolute error = 2e-63 relative error = 1.1116670885897676539820195819116e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6011984385140410353515079898995 y2[1] (numeric) = 1.6011984385140410353515079898995 absolute error = 3e-63 relative error = 1.8735966310235024398378669357953e-61 % Correct digits = 64 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=97.95 x[1] = 0.646 y1[1] (analytic) = 1.7984981690547866537724285643704 y1[1] (numeric) = 1.7984981690547866537724285643704 absolute error = 2e-63 relative error = 1.1120389413858086099262732813741e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6019972375486064915694845932574 y2[1] (numeric) = 1.6019972375486064915694845932574 absolute error = 3e-63 relative error = 1.8726624052052876592984127690165e-61 % Correct digits = 64 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=98.19 x[1] = 0.647 y1[1] (analytic) = 1.7978957726685196585515913395922 y1[1] (numeric) = 1.7978957726685196585515913395922 absolute error = 3e-63 relative error = 1.6686173056334972729356961160215e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6027954345859845656157597964862 y2[1] (numeric) = 1.6027954345859845656157597964862 absolute error = 3e-63 relative error = 1.8717298135896706193346878504664e-61 % Correct digits = 64 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=98.42 x[1] = 0.648 y1[1] (analytic) = 1.7972925783865464861232682294208 y1[1] (numeric) = 1.7972925783865464861232682294208 absolute error = 3e-63 relative error = 1.6691773148549581192484865461542e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6035930288279782866286771176027 y2[1] (numeric) = 1.6035930288279782866286771176027 absolute error = 3e-63 relative error = 1.8707988536172527999760633130793e-61 % Correct digits = 64 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=98.65 x[1] = 0.649 y1[1] (analytic) = 1.796688586812061368194443173288 y1[1] (numeric) = 1.796688586812061368194443173288 absolute error = 3e-63 relative error = 1.6697384410522825668088408606585e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6043900194769934790807001609604 y2[1] (numeric) = 1.6043900194769934790807001609604 absolute error = 3e-63 relative error = 1.8698695227348484464261281804582e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.65 y1[1] (analytic) = 1.7960837985490558289176045706799 y1[1] (numeric) = 1.7960837985490558289176045706799 absolute error = 3e-63 relative error = 1.6703006855378980889622980697507e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6051864057360395603725216786059 y2[1] (numeric) = 1.6051864057360395603725216786059 absolute error = 3e-63 relative error = 1.8689418183954684600175006748137e-61 % Correct digits = 64 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=98.88 x[1] = 0.651 y1[1] (analytic) = 1.7954782142023180808992714612743 y1[1] (numeric) = 1.7954782142023180808992714612743 absolute error = 3e-63 relative error = 1.6708640496274793518802246557299e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6059821868087303378235797537072 y2[1] (numeric) = 1.6059821868087303378235797537072 absolute error = 2e-63 relative error = 1.2453438253722028940364779625847e-61 % Correct digits = 64 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=99.10 x[1] = 0.652 y1[1] (analytic) = 1.7948718343774324204118313174373 y1[1] (numeric) = 1.7948718343774324204118313174373 absolute error = 3e-63 relative error = 1.6714285346399550680260111065739e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6067773618992848050581841156014 y2[1] (numeric) = 1.6067773618992848050581841156014 absolute error = 2e-63 relative error = 1.2447275194591414555738372148824e-61 % Correct digits = 64 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=99.34 x[1] = 0.653 y1[1] (analytic) = 1.7942646596807786218092942371924 y1[1] (numeric) = 1.7942646596807786218092942371924 absolute error = 3e-63 relative error = 1.6719941418975148706898742296120e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6075719302125279377864562004034 y2[1] (numeric) = 1.6075719302125279377864562004034 absolute error = 2e-63 relative error = 1.2441122928387978135623396960050e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.654 y1[1] (analytic) = 1.7936566907195313311475691218565 y1[1] (numeric) = 1.7936566907195313311475691218565 absolute error = 2e-63 relative error = 1.1150405818170774731041748506255e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6083658909538914889792871763013 y2[1] (numeric) = 1.6083658909538914889792871763013 absolute error = 1e-63 relative error = 6.2174907191479847413308608608062e-62 % Correct digits = 64 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=99.56 x[1] = 0.655 y1[1] (analytic) = 1.7930479281016594590098682180164 y1[1] (numeric) = 1.7930479281016594590098682180164 absolute error = 2e-63 relative error = 1.1154191523019941787120670138586e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.609159243329414783436518758647 y2[1] (numeric) = 1.609159243329414783436518758647 absolute error = 2e-63 relative error = 1.2428850707540417636473005287450e-61 % Correct digits = 64 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=99.79 x[1] = 0.656 y1[1] (analytic) = 1.792438372435925572537847198391 y1[1] (numeric) = 1.792438372435925572537847198391 absolute error = 2e-63 relative error = 1.1157984736077692670349043362395e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6099519865457455117475522467268 y2[1] (numeric) = 1.6099519865457455117475522467268 absolute error = 2e-63 relative error = 1.2422730719387025537198902453276e-61 % Correct digits = 64 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=100.02 x[1] = 0.657 y1[1] (analytic) = 1.7918280243318852866690887503875 y1[1] (numeric) = 1.7918280243318852866690887503875 absolute error = 1e-63 relative error = 5.5808927331230219755721554858331e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6107441198101405236435918216702 y2[1] (numeric) = 1.6107441198101405236435918216702 absolute error = 2e-63 relative error = 1.2416621457142065027664812681893e-61 % Correct digits = 64 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=100.25 x[1] = 0.658 y1[1] (analytic) = 1.7912168843998866545815384348186 y1[1] (numeric) = 1.7912168843998866545815384348186 absolute error = 1e-63 relative error = 5.5827968612244914725561646802796e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6115356423304666207407287533185 y2[1] (numeric) = 1.6115356423304666207407287533185 absolute error = 2e-63 relative error = 1.2410522904152272192959281433162e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.659 y1[1] (analytic) = 1.7906049532510695573455023702928 y1[1] (numeric) = 1.7906049532510695573455023702928 absolute error = 1e-63 relative error = 5.5847047568162571975197819326902e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6123265533152013486730737730358 y2[1] (numeric) = 1.6123265533152013486730737730358 absolute error = 2e-63 relative error = 1.2404435043804743036236038499871e-61 % Correct digits = 64 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=100.49 x[1] = 0.66 y1[1] (analytic) = 1.7899922314973650927838170912302 y1[1] (numeric) = 1.7899922314973650927838170912302 absolute error = 1e-63 relative error = 5.5866164243823536481815457661711e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6131168519734337886151454793963 y2[1] (numeric) = 1.6131168519734337886151454793963 absolute error = 2e-63 relative error = 1.2398357859526829489548511754486e-61 % Correct digits = 64 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=100.72 x[1] = 0.661 y1[1] (analytic) = 1.7893787197514949635408027192822 y1[1] (numeric) = 1.7893787197514949635408027192822 absolute error = 2e-63 relative error = 1.1177063736835741866556420114910e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6139065375148653481927232544241 y2[1] (numeric) = 1.6139065375148653481927232544241 absolute error = 2e-63 relative error = 1.2392291334786035758531487054650e-61 % Correct digits = 64 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=100.95 x[1] = 0.662 y1[1] (analytic) = 1.7887644186269708643606113791516 y1[1] (numeric) = 1.7887644186269708643606113791516 absolute error = 1e-63 relative error = 5.5904510934289783294353904435032e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6146956091498105517813737796007 y2[1] (numeric) = 1.6146956091498105517813737796007 absolute error = 2e-63 relative error = 1.2386235453089914999749395844390e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.663 y1[1] (analytic) = 1.7881493287380938685755835804134 y1[1] (numeric) = 1.7881493287380938685755835804134 absolute error = 1e-63 relative error = 5.5923741039329479104366040700099e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6154840660891978301918608531767 y2[1] (numeric) = 1.6154840660891978301918608531767 absolute error = 2e-63 relative error = 1.2380190197985966329535501329468e-61 % Correct digits = 64 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=101.18 x[1] = 0.664 y1[1] (analytic) = 1.7875334506999538138052260769289 y1[1] (numeric) = 1.7875334506999538138052260769289 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6162719075445703097416488234469 y2[1] (numeric) = 1.6162719075445703097416488234469 absolute error = 2e-63 relative error = 1.2374155553061532163151022105109e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1678.5MB, alloc=4.6MB, time=101.41 x[1] = 0.665 y1[1] (analytic) = 1.7869167851284286868664255048233 y1[1] (numeric) = 1.7869167851284286868664255048233 absolute error = 1e-63 relative error = 5.5962314995442181920704319516449e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6170591327280866007117105665481 y2[1] (numeric) = 1.6170591327280866007117105665481 absolute error = 2e-63 relative error = 1.2368131501943695883097978877529e-61 % Correct digits = 64 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=101.65 x[1] = 0.666 y1[1] (analytic) = 1.786299332640184007895512888763 y1[1] (numeric) = 1.786299332640184007895512888763 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6178457408525215851878515520396 y2[1] (numeric) = 1.6178457408525215851878515520396 absolute error = 2e-63 relative error = 1.2362118028299179835424275552001e-61 % Correct digits = 64 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=101.88 x[1] = 0.667 y1[1] (analytic) = 1.7856810938526722136827948944167 y1[1] (numeric) = 1.7856810938526722136827948944167 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6186317311312672042857621550066 y2[1] (numeric) = 1.6186317311312672042857621550066 absolute error = 1e-63 relative error = 6.1780575579171218264321152818247e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.668 y1[1] (analytic) = 1.7850620693841320402201684925159 y1[1] (numeric) = 1.7850620693841320402201684925159 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6194171027783332447590109897005 y2[1] (numeric) = 1.6194171027783332447590109897005 absolute error = 1e-63 relative error = 6.1750613741472914518312290031811e-62 % Correct digits = 64 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=102.10 x[1] = 0.669 y1[1] (analytic) = 1.7844422598535879044624364868518 y1[1] (numeric) = 1.7844422598535879044624364868518 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6202018550083481249891926567879 y2[1] (numeric) = 1.6202018550083481249891926567879 absolute error = 1e-63 relative error = 6.1720704547326140324668304865098e-62 % Correct digits = 64 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=102.33 x[1] = 0.67 y1[1] (analytic) = 1.7838216658808492853029421448381 y1[1] (numeric) = 1.7838216658808492853029421448381 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6209859870365596803574439141266 y2[1] (numeric) = 1.6209859870365596803574439141266 absolute error = 1e-63 relative error = 6.1690847915852219097077708295877e-62 % Correct digits = 64 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=102.56 x[1] = 0.671 y1[1] (analytic) = 1.7832002880865101037641419549564 y1[1] (numeric) = 1.7832002880865101037641419549564 absolute error = 1e-63 relative error = 5.6078950114631545083397319782897e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6217694980788359479965428996171 y2[1] (numeric) = 1.6217694980788359479965428996171 absolute error = 1e-63 relative error = 6.1661043766368143372383271521027e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.672 y1[1] (analytic) = 1.7825781270919481024037363204577 y1[1] (numeric) = 1.7825781270919481024037363204577 absolute error = 1e-63 relative error = 5.6098522965238789371554916479355e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6225523873516659509228066540965 y2[1] (numeric) = 1.6225523873516659509228066540965 absolute error = 1e-63 relative error = 6.1631292018386074511228140250553e-62 % Correct digits = 64 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=102.79 x[1] = 0.673 y1[1] (analytic) = 1.7819551835193242239369787831393 y1[1] (numeric) = 1.7819551835193242239369787831393 absolute error = 1e-63 relative error = 5.6118134128660907823090795985737e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6233346540721604815470028124424 y2[1] (numeric) = 1.6233346540721604815470028124424 absolute error = 1e-63 relative error = 6.1601592591612843998663836947042e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1705.2MB, alloc=4.6MB, time=103.02 x[1] = 0.674 y1[1] (analytic) = 1.7813314579915819890757851548342 y1[1] (numeric) = 1.7813314579915819890757851548342 absolute error = 1e-63 relative error = 5.6137783651307733474068540274276e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6241162974580528845634919520395 y2[1] (numeric) = 1.6241162974580528845634919520395 absolute error = 1e-63 relative error = 6.1571945405949456339097990750581e-62 % Correct digits = 64 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=103.25 x[1] = 0.675 y1[1] (analytic) = 1.780706951132446873585264717454 y1[1] (numeric) = 1.780706951132446873585264717454 absolute error = 2e-63 relative error = 1.1231494315940604025958561890078e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6248973167276998392168177095343 y2[1] (numeric) = 1.6248973167276998392168177095343 absolute error = 1e-63 relative error = 6.1542350381490593539982335137212e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.676 y1[1] (analytic) = 1.7800816635664256845582964350008 y1[1] (numeric) = 1.7800816635664256845582964350008 absolute error = 1e-63 relative error = 5.6177197960484688273914052516840e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6256777111000821409449623993491 y2[1] (numeric) = 1.6256777111000821409449623993491 absolute error = 1e-63 relative error = 6.1512807438524121178664113088163e-62 % Correct digits = 64 memory used=1712.8MB, alloc=4.6MB, time=103.48 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.677 y1[1] (analytic) = 1.7794555959188059359087739029204 y1[1] (numeric) = 1.7794555959188059359087739029204 absolute error = 1e-63 relative error = 5.6196962840405071733296626058600e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6264574797948054823984864907691 y2[1] (numeric) = 1.6264574797948054823984864907691 absolute error = 1e-63 relative error = 6.1483316497530596046846529190630e-62 % Correct digits = 64 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=103.71 x[1] = 0.678 y1[1] (analytic) = 1.7788287488156552230841435414996 y1[1] (numeric) = 1.7788287488156552230841435414996 absolute error = 1e-63 relative error = 5.6216766266331165100985032164772e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6272366220321012338347709245244 y2[1] (numeric) = 1.6272366220321012338347709245244 absolute error = 2e-63 relative error = 1.2290775495836555073425257627891e-61 % Correct digits = 64 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=103.94 x[1] = 0.679 y1[1] (analytic) = 1.778201122883820596997861320718 y1[1] (numeric) = 1.778201122883820596997861320718 absolute error = 1e-63 relative error = 5.6236608285244871919611803662921e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6280151370328272228865818746926 y2[1] (numeric) = 1.6280151370328272228865818746926 absolute error = 2e-63 relative error = 1.2284898060869025515219712010132e-61 % Correct digits = 64 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=104.17 x[1] = 0.68 y1[1] (analytic) = 1.7775727187509279371823940840443 y1[1] (numeric) = 1.7775727187509279371823940840443 absolute error = 1e-63 relative error = 5.6256488944243253627599416585288e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6287930240184685137041781874202 y2[1] (numeric) = 1.6287930240184685137041781874202 absolute error = 2e-63 relative error = 1.2279030978814668933708383063574e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.681 y1[1] (analytic) = 1.7769435370453813241633923181245 y1[1] (numeric) = 1.7769435370453813241633923181245 absolute error = 1e-63 relative error = 5.6276408290538779270517496874776e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6295702822111381854701823544214 y2[1] (numeric) = 1.6295702822111381854701823544214 absolute error = 2e-63 relative error = 1.2273174233922771219443575184827e-61 % Correct digits = 64 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=104.40 x[1] = 0.682 y1[1] (analytic) = 1.776313578396362411055661994136 y1[1] (numeric) = 1.776313578396362411055661994136 absolute error = 2e-63 relative error = 1.1259273274291915195993102166187e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6303469108335781102864365064475 y2[1] (numeric) = 1.6303469108335781102864365064475 absolute error = 2e-63 relative error = 1.2267327810480668844568347328931e-61 % Correct digits = 64 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=104.63 x[1] = 0.683 y1[1] (analytic) = 1.7756828434338297943815638847851 y1[1] (numeric) = 1.7756828434338297943815638847851 absolute error = 2e-63 relative error = 1.1263272646889936044472017370623e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6311229091091597304320655399362 y2[1] (numeric) = 1.6311229091091597304320655399362 absolute error = 3e-63 relative error = 1.8392237539220478392640965675487e-61 % Correct digits = 64 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=104.86 x[1] = 0.684 y1[1] (analytic) = 1.7750513327885183841124695384931 y1[1] (numeric) = 1.7750513327885183841124695384931 absolute error = 2e-63 relative error = 1.1267279785413857964003021964145e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.631898276261884834991970118843 y2[1] (numeric) = 1.631898276261884834991970118843 absolute error = 3e-63 relative error = 1.8383498797927304416571199840809e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.685 y1[1] (analytic) = 1.7744190470919387729339038692666 y1[1] (numeric) = 1.7744190470919387729339038692666 absolute error = 1e-63 relative error = 5.6356473496995016746911759121298e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6326730115163863358549729232243 y2[1] (numeric) = 1.6326730115163863358549729232243 absolute error = 2e-63 relative error = 1.2249850312295230733413507766394e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1739.5MB, alloc=4.6MB, time=105.09 TOP MAIN SOLVE Loop x[1] = 0.686 y1[1] (analytic) = 1.7737859869763766047350050970526 y1[1] (numeric) = 1.7737859869763766047350050970526 absolute error = 1e-63 relative error = 5.6376586992020140701564727058701e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6334471140979290430808421464934 y2[1] (numeric) = 1.6334471140979290430808421464934 absolute error = 3e-63 relative error = 1.8366067527424967235199476671144e-61 % Correct digits = 64 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=105.31 x[1] = 0.687 y1[1] (analytic) = 1.7731521530748919423229335490696 y1[1] (numeric) = 1.7731521530748919423229335490696 absolute error = 1e-63 relative error = 5.6396739460054863459399956310005e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6342205832324104396354168743885 y2[1] (numeric) = 1.6342205832324104396354168743885 absolute error = 2e-63 relative error = 1.2238249967725258386757723467291e-61 % Correct digits = 64 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=105.55 x[1] = 0.688 y1[1] (analytic) = 1.7725175460213186343628616076503 y1[1] (numeric) = 1.7725175460213186343628616076503 absolute error = 2e-63 relative error = 1.1283386189825312801413674682954e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6349934181463614554930596105924 y2[1] (numeric) = 1.6349934181463614554930596105924 absolute error = 2e-63 relative error = 1.2232465145134693500698830083739e-61 % Correct digits = 64 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=105.78 x[1] = 0.689 y1[1] (analytic) = 1.7718821664502636815441778645549 y1[1] (numeric) = 1.7718821664502636815441778645549 absolute error = 1e-63 relative error = 5.6437161507380054461129270140034e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6357656180669472411056618466169 y2[1] (numeric) = 1.6357656180669472411056618466169 absolute error = 2e-63 relative error = 1.2226690535062619711343541118582e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.69 y1[1] (analytic) = 1.7712460149971066019735393154978 y1[1] (numeric) = 1.7712460149971066019735393154978 absolute error = 2e-63 relative error = 1.1291486236615567354709239226840e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6365371822219679402374292070087 y2[1] (numeric) = 1.6365371822219679402374292070087 absolute error = 2e-63 relative error = 1.2220926122097326231653112064013e-61 % Correct digits = 64 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=106.00 x[1] = 0.691 y1[1] (analytic) = 1.7706090922979987957954062017814 y1[1] (numeric) = 1.7706090922979987957954062017814 absolute error = 2e-63 relative error = 1.1295548004920072045289494946046e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6373081098398594621646733351585 y2[1] (numeric) = 1.6373081098398594621646733351585 absolute error = 2e-63 relative error = 1.2215171890864294440191817227266e-61 % Correct digits = 64 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=106.23 x[1] = 0.692 y1[1] (analytic) = 1.7699713989898629090406948784514 y1[1] (numeric) = 1.7699713989898629090406948784514 absolute error = 2e-63 relative error = 1.1299617616089255943722547850159e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6380784001496942532398383199832 y2[1] (numeric) = 1.6380784001496942532398383199832 absolute error = 2e-63 relative error = 1.2209427826026104012541353175521e-61 % Correct digits = 64 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=106.46 x[1] = 0.693 y1[1] (analytic) = 1.7693329357103921967041848602655 y1[1] (numeric) = 1.7693329357103921967041848602655 absolute error = 2e-63 relative error = 1.1303695079846542969231241974702e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.638848052381182067818990099522 y2[1] (numeric) = 1.638848052381182067818990099522 absolute error = 2e-63 relative error = 1.2203693912282339351059128394907e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.694 y1[1] (analytic) = 1.7686937030980498850513169680168 y1[1] (numeric) = 1.7686937030980498850513169680168 absolute error = 2e-63 relative error = 1.1307780405939101955977358240632e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.639617065764670738551997914018 y2[1] (numeric) = 1.639617065764670738551997914018 absolute error = 2e-63 relative error = 1.2197970134369496311943096311352e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1766.2MB, alloc=4.6MB, time=106.69 TOP MAIN SOLVE Loop x[1] = 0.695 y1[1] (analytic) = 1.7680537017920685331550202683599 y1[1] (numeric) = 1.7680537017920685331550202683599 absolute error = 2e-63 relative error = 1.1311873604137898788366893667801e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6403854395311469460346375183712 y2[1] (numeric) = 1.6403854395311469460346375183712 absolute error = 2e-63 relative error = 1.2192256477060889228569944726564e-61 % Correct digits = 64 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=106.93 x[1] = 0.696 y1[1] (analytic) = 1.7674129324324493936632062702603 y1[1] (numeric) = 1.7674129324324493936632062702603 absolute error = 2e-63 relative error = 1.1315974684237748696688382918167e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.641153172912236987821846501921 y2[1] (numeric) = 1.641153172912236987821846501921 absolute error = 2e-63 relative error = 1.2186552925166558230077592388805e-61 % Correct digits = 64 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=107.16 x[1] = 0.697 y1[1] (analytic) = 1.7667713956599617727975696105186 y1[1] (numeric) = 1.7667713956599617727975696105186 absolute error = 2e-63 relative error = 1.1320083656057368713585939451734e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6419202651402075468013627023692 y2[1] (numeric) = 1.6419202651402075468013627023692 absolute error = 2e-63 relative error = 1.2180859463533176854167062933971e-61 % Correct digits = 64 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=107.39 x[1] = 0.698 y1[1] (analytic) = 1.7661290921161423895843352295162 y1[1] (numeric) = 1.7661290921161423895843352295162 absolute error = 2e-63 relative error = 1.1324200529439430291870595844104e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6426867154479664589269773402679 y2[1] (numeric) = 1.6426867154479664589269773402679 absolute error = 2e-63 relative error = 1.2175176077043959953102907886075e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.699 y1[1] (analytic) = 1.765486022443294734317592806382 y1[1] (numeric) = 1.765486022443294734317592806382 absolute error = 1e-63 relative error = 5.6641626571253060420877163644423e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.643452523069063480310635140883 y2[1] (numeric) = 1.643452523069063480310635140883 absolute error = 2e-63 relative error = 1.2169502750618571891895433885376e-61 % Correct digits = 64 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=107.62 x[1] = 0.7 y1[1] (analytic) = 1.7648421872844884262558599901919 y1[1] (numeric) = 1.7648421872844884262558599901919 absolute error = 1e-63 relative error = 5.6662290101908264424809517128611e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6442176872376910536726143513987 y2[1] (numeric) = 1.6442176872376910536726143513987 absolute error = 2e-63 relative error = 1.2163839469213035037652054904255e-61 % Correct digits = 64 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=107.85 x[1] = 0.701 y1[1] (analytic) = 1.7641975872835585705525167305838 y1[1] (numeric) = 1.7641975872835585705525167305838 absolute error = 1e-63 relative error = 5.6682993288737023676933433153207e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6449822071886850741490202033441 y2[1] (numeric) = 1.6449822071886850741490202033441 absolute error = 2e-63 relative error = 1.2158186217819638539089138002526e-61 % Correct digits = 64 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=108.08 x[1] = 0.702 y1[1] (analytic) = 1.7635522230851051144207537773021 y1[1] (numeric) = 1.7635522230851051144207537773021 absolute error = 1e-63 relative error = 5.6703736181434430957701663073654e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6457460821575256544558260128154 y2[1] (numeric) = 1.6457460821575256544558260128154 absolute error = 2e-63 relative error = 1.2152542981466847395199741251423e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.703 y1[1] (analytic) = 1.7629060953344922025336791836665 y1[1] (numeric) = 1.7629060953344922025336791836665 absolute error = 1e-63 relative error = 5.6724518829816678782854546177416e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6465093113803378894086967545133 y2[1] (numeric) = 1.6465093113803378894086967545133 absolute error = 2e-63 relative error = 1.2146909745219211812076654905059e-61 % Correct digits = 64 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=108.31 x[1] = 0.704 y1[1] (analytic) = 1.7622592046778475316602274138083 y1[1] (numeric) = 1.7622592046778475316602274138083 absolute error = 1e-63 relative error = 5.6745341283821327386039013739062e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6472718940938926197978305898392 y2[1] (numeric) = 1.6472718940938926197978305898392 absolute error = 2e-63 relative error = 1.2141286494177276846894151805094e-61 % Correct digits = 64 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=108.54 x[1] = 0.705 y1[1] (analytic) = 1.7616115517620617045375164177085 y1[1] (numeric) = 1.7616115517620617045375164177085 absolute error = 1e-63 relative error = 5.6766203593507573526013924723276e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6480338295356071956170544742679 y2[1] (numeric) = 1.6480338295356071956170544742679 absolute error = 2e-63 relative error = 1.2135673213477492338055830453800e-61 % Correct digits = 64 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=108.77 x[1] = 0.706 y1[1] (analytic) = 1.7609631372347875829802988016283 y1[1] (numeric) = 1.7609631372347875829802988016283 absolute error = 1e-63 relative error = 5.6787105809056520121037112980118e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6487951169435462386464106149696 y2[1] (numeric) = 1.6487951169435462386464106149696 absolute error = 2e-63 relative error = 1.2130069888292123120519894267133e-61 % Correct digits = 64 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=109.00 x[1] = 0.707 y1[1] (analytic) = 1.7603139617444396402281539844266 y1[1] (numeric) = 1.7603139617444396402281539844266 absolute error = 1e-63 relative error = 5.6808047980771446713039387632485e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6495557555564224043874711961547 y2[1] (numeric) = 1.6495557555564224043874711961547 absolute error = 2e-63 relative error = 1.2124476503829159525317153307095e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.708 y1[1] (analytic) = 1.7596640259401933125310689925183 y1[1] (numeric) = 1.7596640259401933125310689925183 absolute error = 1e-63 relative error = 5.6829030159078080764200630053416e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6503157446135971433506194368912 y2[1] (numeric) = 1.6503157446135971433506194368912 absolute error = 1e-63 relative error = 6.0594465226661140811404801875602e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1808.2MB, alloc=4.6MB, time=109.23 x[1] = 0.709 y1[1] (analytic) = 1.7590133304719843499740563078382 y1[1] (numeric) = 1.7590133304719843499740563078382 absolute error = 1e-63 relative error = 5.6850052394524869788553072552736e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6510750833550814616935356941786 y2[1] (numeric) = 1.6510750833550814616935356941786 absolute error = 1e-63 relative error = 6.0566597490402514925061009044247e-62 % Correct digits = 64 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=109.46 x[1] = 0.71 y1[1] (analytic) = 1.7583618759905081665414579441396 y1[1] (numeric) = 1.7583618759905081665414579441396 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6518337710215366812101279728528 y2[1] (numeric) = 1.6518337710215366812101279728528 absolute error = 2e-63 relative error = 1.2107755847388616637106354746180e-61 % Correct digits = 64 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=109.69 x[1] = 0.711 y1[1] (analytic) = 1.7577096631472191894215856872678 y1[1] (numeric) = 1.7577096631472191894215856872678 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6525918068542751986691468534576 y2[1] (numeric) = 1.6525918068542751986691468534576 absolute error = 2e-63 relative error = 1.2102202078606572078673497085331e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.712 y1[1] (analytic) = 1.7570566925943302075523481947161 y1[1] (numeric) = 1.7570566925943302075523481947161 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6533491900952612445017254995287 y2[1] (numeric) = 1.6533491900952612445017254995287 absolute error = 2e-63 relative error = 1.2096658177119654492186013959750e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1819.6MB, alloc=4.6MB, time=109.92 x[1] = 0.713 y1[1] (analytic) = 1.7564029649848117194085164087805 y1[1] (numeric) = 1.7564029649848117194085164087805 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6541059199871116408370860568158 y2[1] (numeric) = 1.6541059199871116408370860568158 absolute error = 2e-63 relative error = 1.2091124128348343466692585343587e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1823.4MB, alloc=4.6MB, time=110.15 x[1] = 0.714 y1[1] (analytic) = 1.7557484809723912800312794959955 y1[1] (numeric) = 1.7557484809723912800312794959955 absolute error = 1e-63 relative error = 5.6955766206681670937925298835031e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6548619957730965588856544087971 y2[1] (numeric) = 1.6548619957730965588856544087971 absolute error = 2e-63 relative error = 1.2085599917748225459440863488189e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1827.2MB, alloc=4.6MB, time=110.38 x[1] = 0.715 y1[1] (analytic) = 1.7550932412115528473007442832391 y1[1] (numeric) = 1.7550932412115528473007442832391 absolute error = 1e-63 relative error = 5.6977029853393610729411425631622e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.655617416697140275668825905437 y2[1] (numeric) = 1.655617416697140275668825905437 absolute error = 2e-63 relative error = 1.2080085530809906533955056343339e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1831.0MB, alloc=4.6MB, time=110.61 x[1] = 0.716 y1[1] (analytic) = 1.7544372463575361274520319179542 y1[1] (numeric) = 1.7544372463575361274520319179542 absolute error = 1e-63 relative error = 5.6998333914544035176608482975868e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6563721820038219300946253354824 y2[1] (numeric) = 1.6563721820038219300946253354824 absolute error = 2e-63 relative error = 1.2074580953058925373618424019062e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.717 y1[1] (analytic) = 1.7537804970663359198356262363344 y1[1] (numeric) = 1.7537804970663359198356262363344 absolute error = 2e-63 relative error = 1.1403935688334610004713718861242e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6571262909383762783785050667013 y2[1] (numeric) = 1.6571262909383762783785050667013 absolute error = 2e-63 relative error = 1.2069086170055666569814469774412e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1834.9MB, alloc=4.6MB, time=110.84 x[1] = 0.718 y1[1] (analytic) = 1.7531229939947014609226290790717 y1[1] (numeric) = 1.7531229939947014609226290790717 absolute error = 2e-63 relative error = 1.1408212697289193652992236042387e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6578797427466944488085259333295 y2[1] (numeric) = 1.6578797427466944488085259333295 absolute error = 3e-63 relative error = 1.8095401751092911275526547587571e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1838.7MB, alloc=4.6MB, time=111.07 x[1] = 0.719 y1[1] (analytic) = 1.7524647378001357675555785493557 y1[1] (numeric) = 1.7524647378001357675555785493557 absolute error = 2e-63 relative error = 1.1412497820130718154908780230382e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6586325366753246958541661056053 y2[1] (numeric) = 1.6586325366753246958541661056053 absolute error = 3e-63 relative error = 1.8087188896061348370842834780540e-61 % Correct digits = 64 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=111.31 x[1] = 0.72 y1[1] (analytic) = 1.7518057291408949794454869622519 y1[1] (numeric) = 1.7518057291408949794454869622519 absolute error = 2e-63 relative error = 1.1416791067242497559640900767494e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6593846719714731536180038326482 y2[1] (numeric) = 1.6593846719714731536180038326482 absolute error = 3e-63 relative error = 1.8078990668485418304226342598253e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.721 y1[1] (analytic) = 1.7511459686759877009157559883658 y1[1] (numeric) = 1.7511459686759877009157559883658 absolute error = 1e-63 relative error = 5.7105462245165281314321146496836e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6601361478830045886295206070606 y2[1] (numeric) = 1.6601361478830045886295206070606 absolute error = 2e-63 relative error = 1.2047204697942320613514003031986e-61 % Correct digits = 64 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=111.53 x[1] = 0.722 y1[1] (analytic) = 1.750485457065174341893627247823 y1[1] (numeric) = 1.750485457065174341893627247823 absolute error = 1e-63 relative error = 5.7127009879680928264199257266365e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6608869636584431519802719575123 y2[1] (numeric) = 1.6608869636584431519802719575123 absolute error = 3e-63 relative error = 1.8062638009945520714917433235514e-61 % Correct digits = 64 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=111.77 x[1] = 0.723 y1[1] (analytic) = 1.7498241949689664581498273630602 y1[1] (numeric) = 1.7498241949689664581498273630602 absolute error = 1e-63 relative error = 5.7148598292055004655353501651973e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6616371185469731307996737341996 y2[1] (numeric) = 1.6616371185469731307996737341996 absolute error = 3e-63 relative error = 1.8054483536233019209201043380477e-61 % Correct digits = 64 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=112.00 x[1] = 0.724 y1[1] (analytic) = 1.7491621830486260907870672307261 y1[1] (numeric) = 1.7491621830486260907870672307261 absolute error = 1e-63 relative error = 5.7170227534709990540413999569278e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6623866117984396990706524114553 y2[1] (numeric) = 1.6623866117984396990706524114553 absolute error = 3e-63 relative error = 1.8046343604478827725059397777911e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.725 memory used=1857.7MB, alloc=4.6MB, time=112.23 y1[1] (analytic) = 1.7484994219661651049780560241387 y1[1] (numeric) = 1.7484994219661651049780560241387 absolute error = 1e-63 relative error = 5.7191897660195555874446540099683e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6631354426633496677844085919225 y2[1] (numeric) = 1.6631354426633496677844085919225 absolute error = 3e-63 relative error = 1.8038218193437040561823866311390e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.726 y1[1] (analytic) = 1.7478359123843445279536911882302 y1[1] (numeric) = 1.7478359123843445279536911882302 absolute error = 1e-63 relative error = 5.7213608721188847253487192990252e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6638836103928722344335435575901 y2[1] (numeric) = 1.6638836103928722344335435575901 absolute error = 3e-63 relative error = 1.8030107281912868572026132690873e-61 % Correct digits = 64 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=112.46 x[1] = 0.727 y1[1] (analytic) = 1.7471716549666738862420864387327 y1[1] (numeric) = 1.7471716549666738862420864387327 absolute error = 1e-63 relative error = 5.7235360770494775537102410276593e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6646311142388397318427993746266 y2[1] (numeric) = 1.6646311142388397318427993746266 absolute error = 4e-63 relative error = 2.4029347798350017513540672817249e-61 % Correct digits = 64 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=112.69 x[1] = 0.728 y1[1] (analytic) = 1.7465066503774105421591005265237 y1[1] (numeric) = 1.7465066503774105421591005265237 absolute error = 1e-63 relative error = 5.7257153861046304357796449420154e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6653779534537483763366637213347 y2[1] (numeric) = 1.6653779534537483763366637213347 absolute error = 4e-63 relative error = 2.4018571830524054037344507513129e-61 % Correct digits = 64 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=112.92 x[1] = 0.729 y1[1] (analytic) = 1.7458408992815590295510302765453 y1[1] (numeric) = 1.7458408992815590295510302765453 absolute error = 1e-63 relative error = 5.7278988045904739520098731225252e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.666124127290759015243091271684 y2[1] (numeric) = 1.666124127290759015243091271684 absolute error = 4e-63 relative error = 2.4007815111016342253702135106120e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.73 y1[1] (analytic) = 1.7451744023448703887901321585503 y1[1] (numeric) = 1.7451744023448703887901321585503 absolute error = 1e-63 relative error = 5.7300863378260019292174571738852e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6668696350036978737325941307615 y2[1] (numeric) = 1.6668696350036978737325941307615 absolute error = 4e-63 relative error = 2.3997077611838109845369017811264e-61 % Correct digits = 64 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=113.15 x[1] = 0.731 y1[1] (analytic) = 1.7445071602338415010236373940972 y1[1] (numeric) = 1.7445071602338415010236373940972 absolute error = 1e-63 relative error = 5.7322779911431005592813597540480e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6676144758470573009919544831147 y2[1] (numeric) = 1.6676144758470573009919544831147 absolute error = 4e-63 relative error = 2.3986359305067904994303870762819e-61 % Correct digits = 64 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=113.38 x[1] = 0.732 y1[1] (analytic) = 1.7438391736157144216769263507235 y1[1] (numeric) = 1.7438391736157144216769263507235 absolute error = 1e-63 relative error = 5.7344737698865776076661068504712e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6683586490759965157318132803332 y2[1] (numeric) = 1.6683586490759965157318132803332 absolute error = 4e-63 relative error = 2.3975660162851430972653681655344e-61 % Correct digits = 64 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=113.61 x[1] = 0.733 y1[1] (analytic) = 1.7431704431584757132115287200688 y1[1] (numeric) = 1.7431704431584757132115287200688 absolute error = 2e-63 relative error = 1.1473347358828383424113658293888e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6691021539463423510273894603448 y2[1] (numeric) = 1.6691021539463423510273894603448 absolute error = 4e-63 relative error = 2.3964980157401381253577496847286e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.734 y1[1] (analytic) = 1.7425009695308557771386167218896 y1[1] (numeric) = 1.7425009695308557771386167218896 absolute error = 2e-63 relative error = 1.1477755450193363542789862495102e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6698449897145899984915848577685 y2[1] (numeric) = 1.6698449897145899984915848577685 absolute error = 4e-63 relative error = 2.3954319260997275140139978018488e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1884.5MB, alloc=4.6MB, time=113.84 TOP MAIN SOLVE Loop x[1] = 0.735 y1[1] (analytic) = 1.7418307534023281852886593204188 y1[1] (numeric) = 1.7418307534023281852886593204188 absolute error = 2e-63 relative error = 1.1482171824635592851208424912878e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6705871556379037517797306322801 y2[1] (numeric) = 1.6705871556379037517797306322801 absolute error = 3e-63 relative error = 1.7957758084488970432884536800586e-61 % Correct digits = 64 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=114.07 x[1] = 0.736 y1[1] (analytic) = 1.7411597954431090103379061833593 y1[1] (numeric) = 1.7411597954431090103379061833593 absolute error = 1e-63 relative error = 5.7432982464743236262983722738505e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.671328650974117749425231710308 y2[1] (numeric) = 1.671328650974117749425231710308 absolute error = 3e-63 relative error = 1.7949791013583588108296178849220e-61 % Correct digits = 64 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=114.30 x[1] = 0.737 y1[1] (analytic) = 1.7404880963241561555923708569716 y1[1] (numeric) = 1.7404880963241561555923708569716 absolute error = 2e-63 relative error = 1.1491029465952240597523895562478e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.672069474981736717005366404475 y2[1] (numeric) = 1.672069474981736717005366404475 absolute error = 3e-63 relative error = 1.7941838212391071171678933423869e-61 % Correct digits = 64 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=114.53 x[1] = 0.738 y1[1] (analytic) = 1.7398156567171686840299833732174 y1[1] (numeric) = 1.7398156567171686840299833732174 absolute error = 1e-63 relative error = 5.7477353772461420954978486722642e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6728096269199367086364990450493 y2[1] (numeric) = 1.6728096269199367086364990450493 absolute error = 4e-63 relative error = 2.3911866213760415375537143859257e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.739 y1[1] (analytic) = 1.7391424772945861466015832467493 y1[1] (numeric) = 1.7391424772945861466015832467493 absolute error = 1e-63 relative error = 5.7499601847204732416357788631293e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6735491060485658477979641282533 y2[1] (numeric) = 1.6735491060485658477979641282533 absolute error = 3e-63 relative error = 1.7925975336829709859832143797966e-61 % Correct digits = 64 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=114.76 x[1] = 0.74 y1[1] (analytic) = 1.7384685587295879097914245606988 y1[1] (numeric) = 1.7384685587295879097914245606988 absolute error = 1e-63 relative error = 5.7521891608483564724969614063410e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6742879116281450674838811576082 y2[1] (numeric) = 1.6742879116281450674838811576082 absolute error = 3e-63 relative error = 1.7918065221427054616239248950193e-61 % Correct digits = 64 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=114.99 x[1] = 0.741 y1[1] (analytic) = 1.7377939016960924824378655807009 y1[1] (numeric) = 1.7377939016960924824378655807009 absolute error = 1e-63 relative error = 5.7544223110922230636117158578452e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6750260429198688496821600265609 y2[1] (numeric) = 1.6750260429198688496821600265609 absolute error = 3e-63 relative error = 1.7910169293669401454129501311235e-61 % Correct digits = 64 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=115.22 x[1] = 0.742 y1[1] (analytic) = 1.7371185068687568418149160764094 y1[1] (numeric) = 1.7371185068687568418149160764094 absolute error = 1e-63 relative error = 5.7566596409277229534875743300588e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6757634991856059641799574634498 y2[1] (numeric) = 1.6757634991856059641799574634498 absolute error = 4e-63 relative error = 2.3869716710883937337254261226660e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.743 y1[1] (analytic) = 1.7364423749229757589753162689006 y1[1] (numeric) = 1.7364423749229757589753162689006 absolute error = 1e-63 relative error = 5.7589011558437549594267642241214e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.676500279687900206694845733414 y2[1] (numeric) = 1.676500279687900206694845733414 absolute error = 4e-63 relative error = 2.3859226559417252037449687359172e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=1911.2MB, alloc=4.6MB, time=115.45 TOP MAIN SOLVE Loop x[1] = 0.744 y1[1] (analytic) = 1.7357655065348811233558220608284 y1[1] (numeric) = 1.7357655065348811233558220608284 absolute error = 1e-63 relative error = 5.7611468613424970866930320953778e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6772363836899711363309554661397 y2[1] (numeric) = 1.6772363836899711363309554661397 absolute error = 4e-63 relative error = 2.3848755243431329288431524135634e-61 % Correct digits = 64 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=115.68 x[1] = 0.745 y1[1] (analytic) = 1.7350879023813412666453719439904 y1[1] (numeric) = 1.7350879023813412666453719439904 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6779718104557148123593551533613 y2[1] (numeric) = 1.6779718104557148123593551533613 absolute error = 4e-63 relative error = 2.3838302735930070447208600819974e-61 % Correct digits = 64 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=115.91 x[1] = 0.746 y1[1] (analytic) = 1.7344095631399602859168117160826 y1[1] (numeric) = 1.7344095631399602859168117160826 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6787065592497045303219305358001 y2[1] (numeric) = 1.6787065592497045303219305358001 absolute error = 4e-63 relative error = 2.3827869009982270022386856783806e-61 % Correct digits = 64 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=116.15 x[1] = 0.747 y1[1] (analytic) = 1.7337304894890773660228538748591 y1[1] (numeric) = 1.7337304894890773660228538748591 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6794406293371915574580277757215 y2[1] (numeric) = 1.6794406293371915574580277757215 absolute error = 4e-63 relative error = 2.3817454038721457880127608745247e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.748 y1[1] (analytic) = 1.7330506821077661012569492936833 y1[1] (numeric) = 1.7330506821077661012569492936833 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6801740199841058674531249885306 y2[1] (numeric) = 1.6801740199841058674531249885306 absolute error = 4e-63 relative error = 2.3807057795345741944129298709774e-61 % Correct digits = 64 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=116.37 x[1] = 0.749 y1[1] (analytic) = 1.7323701416758338162797495175416 y1[1] (numeric) = 1.7323701416758338162797495175416 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6809067304570568745087973847929 y2[1] (numeric) = 1.6809067304570568745087973847929 absolute error = 4e-63 relative error = 2.3796680253117651387965368443052e-61 % Correct digits = 64 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=116.60 x[1] = 0.75 y1[1] (analytic) = 1.7316888688738208863118387530001 y1[1] (numeric) = 1.7316888688738208863118387530001 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6816387600233341667332419527799 y2[1] (numeric) = 1.6816387600233341667332419527799 absolute error = 4e-63 relative error = 2.3786321385363980318117452389586e-61 % Correct digits = 64 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=116.84 x[1] = 0.751 y1[1] (analytic) = 1.7310068643830000565934153593164 y1[1] (numeric) = 1.7310068643830000565934153593164 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6823701079509082388516282910726 y2[1] (numeric) = 1.6823701079509082388516282910726 absolute error = 5e-63 relative error = 2.9719976456844539932561998815964e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.752 y1[1] (analytic) = 1.7303241288853757611116033809685 y1[1] (numeric) = 1.7303241288853757611116033809685 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6831007735084312242355428809353 y2[1] (numeric) = 1.6831007735084312242355428809353 absolute error = 5e-63 relative error = 2.9707074458634329059594651380785e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1937.9MB, alloc=4.6MB, time=117.07 x[1] = 0.753 y1[1] (analytic) = 1.729640663063683440596075394231 y1[1] (numeric) = 1.729640663063683440596075394231 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6838307559652376262507947690758 y2[1] (numeric) = 1.6838307559652376262507947690758 absolute error = 5e-63 relative error = 2.9694195703972662635723671286742e-61 % Correct digits = 64 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=117.30 x[1] = 0.754 y1[1] (analytic) = 1.7289564676013888597836686721214 y1[1] (numeric) = 1.7289564676013888597836686721214 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6845600545913450489228513130465 y2[1] (numeric) = 1.6845600545913450489228513130465 absolute error = 5e-63 relative error = 2.9681340159837416191684877570085e-61 % Correct digits = 64 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=117.53 x[1] = 0.755 y1[1] (analytic) = 1.7282715431826874239526774030409 y1[1] (numeric) = 1.7282715431826874239526774030409 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6852886686574549269191733239135 y2[1] (numeric) = 1.6852886686574549269191733239135 absolute error = 5e-63 relative error = 2.9668507793285828571752042039840e-61 % Correct digits = 64 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=117.76 x[1] = 0.756 y1[1] (analytic) = 1.7275858904925034947275044287623 y1[1] (numeric) = 1.7275858904925034947275044287623 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6860165974349532548477196239165 y2[1] (numeric) = 1.6860165974349532548477196239165 absolute error = 5e-63 relative error = 2.9655698571454310174600896077215e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.757 y1[1] (analytic) = 1.7268995102164897051543566970552 y1[1] (numeric) = 1.7268995102164897051543566970552 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.686743840195911315870891720679 y2[1] (numeric) = 1.686743840195911315870891720679 absolute error = 5e-63 relative error = 2.9642912461558251793236410397979e-61 % Correct digits = 64 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=117.99 x[1] = 0.758 y1[1] (analytic) = 1.7262124030410262740486693531968 y1[1] (numeric) = 1.7262124030410262740486693531968 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6874703962130864096341899840818 y2[1] (numeric) = 1.6874703962130864096341899840818 absolute error = 4e-63 relative error = 2.3704119544713467241577242540744e-61 % Correct digits = 64 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=118.22 x[1] = 0.759 y1[1] (analytic) = 1.725524569653220319614944122886 y1[1] (numeric) = 1.725524569653220319614944122886 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6881962647599225795088533972068 y2[1] (numeric) = 1.6881962647599225795088533972068 absolute error = 4e-63 relative error = 2.3693927557462269950762884517932e-61 % Correct digits = 64 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=118.45 x[1] = 0.76 y1[1] (analytic) = 1.724836010740905172339688366667 y1[1] (numeric) = 1.724836010740905172339688366667 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6889214451105513391477556387697 y2[1] (numeric) = 1.6889214451105513391477556387697 absolute error = 4e-63 relative error = 2.3683753981453962342993563621979e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.761 y1[1] (analytic) = 1.7241467269926396871581419128634 y1[1] (numeric) = 1.7241467269926396871581419128634 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6896459365397923983538309412086 y2[1] (numeric) = 1.6896459365397923983538309412086 absolute error = 5e-63 relative error = 2.9591998488390093203449087426370e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=1964.6MB, alloc=4.6MB, time=118.68 x[1] = 0.762 y1[1] (analytic) = 1.7234567190977075548954795022417 y1[1] (numeric) = 1.7234567190977075548954795022417 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6903697383231543882603038560603 y2[1] (numeric) = 1.6903697383231543882603038560603 absolute error = 5e-63 relative error = 2.9579327449153204452964291118941e-61 % Correct digits = 64 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=118.91 x[1] = 0.763 y1[1] (analytic) = 1.7227659877461166129831774031417 y1[1] (numeric) = 1.7227659877461166129831774031417 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6910928497368355858219977464571 y2[1] (numeric) = 1.6910928497368355858219977464571 absolute error = 6e-63 relative error = 3.5480015192150494523744751774624e-61 % Correct digits = 64 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=119.14 x[1] = 0.764 y1[1] (analytic) = 1.722074533628598155451233480652 y1[1] (numeric) = 1.722074533628598155451233480652 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6918152700577246376169975154955 y2[1] (numeric) = 1.6918152700577246376169975154955 absolute error = 5e-63 relative error = 2.9554054089069667126006794968616e-61 % Correct digits = 64 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=119.37 x[1] = 0.765 y1[1] (analytic) = 1.7213823574366062421969307275509 y1[1] (numeric) = 1.7213823574366062421969307275509 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6925369985634012829579427688738 y2[1] (numeric) = 1.6925369985634012829579427688738 absolute error = 6e-63 relative error = 3.5449742044591671520759823915308e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.766 y1[1] (analytic) = 1.7206894598623170075308349881932 y1[1] (numeric) = 1.7206894598623170075308349881932 absolute error = 1e-63 relative error = 5.8116239061522244522288037195190e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6932580345321370763122283005656 y2[1] (numeric) = 1.6932580345321370763122283005656 absolute error = 6e-63 relative error = 3.5434646566775959425802850037073e-61 % Correct digits = 64 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=119.59 x[1] = 0.767 y1[1] (analytic) = 1.7199958415986279680007183292872 y1[1] (numeric) = 1.7199958415986279680007183292872 absolute error = 1e-63 relative error = 5.8139675446573341003326614951148e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6939783772428961090303894813906 y2[1] (numeric) = 1.6939783772428961090303894813906 absolute error = 5e-63 relative error = 2.9516315362525198186475268940002e-61 % Correct digits = 64 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=119.82 x[1] = 0.768 y1[1] (analytic) = 1.7193015033391573294941002335805 y1[1] (numeric) = 1.7193015033391573294941002335805 absolute error = 1e-63 relative error = 5.8163155098616545350511481733817e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6946980259753357303819508221551 y2[1] (numeric) = 1.6946980259753357303819508221551 absolute error = 5e-63 relative error = 2.9503781342533816828665039704205e-61 % Correct digits = 64 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=120.06 x[1] = 0.769 y1[1] (analytic) = 1.7186064457782432936200995138551 y1[1] (numeric) = 1.7186064457782432936200995138551 absolute error = 1e-63 relative error = 5.8186678076094732677001918187071e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6954169800098072678980166755753 y2[1] (numeric) = 1.6954169800098072678980166755753 absolute error = 5e-63 relative error = 2.9491270047154282490431824668398e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.77 y1[1] (analytic) = 1.7179106696109433633712905653243 y1[1] (numeric) = 1.7179106696109433633712905653243 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6961352386273567470198837344522 y2[1] (numeric) = 1.6961352386273567470198837344522 absolute error = 5e-63 relative error = 2.9478781444611604470892052110335e-61 % Correct digits = 64 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=120.28 x[1] = 0.771 y1[1] (analytic) = 1.7172141755330336480662582945144 y1[1] (numeric) = 1.7172141755330336480662582945144 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.696852801109725610052955677546 y2[1] (numeric) = 1.696852801109725610052955677546 absolute error = 5e-63 relative error = 2.9466315503207158011697049335597e-61 % Correct digits = 64 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=120.51 x[1] = 0.772 y1[1] (analytic) = 1.7165169642410081675735467820204 y1[1] (numeric) = 1.7165169642410081675735467820204 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6975696667393514344252410092942 y2[1] (numeric) = 1.6975696667393514344252410092942 absolute error = 5e-63 relative error = 2.9453872191318501885843045537614e-61 % Correct digits = 64 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=120.74 x[1] = 0.773 y1[1] (analytic) = 1.7158190364320781558176974551284 y1[1] (numeric) = 1.7158190364320781558176974551284 absolute error = 1e-63 relative error = 5.8281204414157091026641783742145e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6982858347993686502497158349369 y2[1] (numeric) = 1.6982858347993686502497158349369 absolute error = 5e-63 relative error = 2.9441451477399196554282099783379e-61 % Correct digits = 64 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=120.98 x[1] = 0.774 y1[1] (analytic) = 1.7151203928041713635680732642085 y1[1] (numeric) = 1.7151203928041713635680732642085 absolute error = 1e-63 relative error = 5.8304944900400223890920756039304e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6990013045736092571898340087447 y2[1] (numeric) = 1.6990013045736092571898340087447 absolute error = 4e-63 relative error = 2.3543242663982898310755364143915e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.775 y1[1] (analytic) = 1.7144210340559313605111660739955 y1[1] (numeric) = 1.7144210340559313605111660739955 absolute error = 1e-63 relative error = 5.8328729065708368360153783645524e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.6997160753466035406274677899009 y2[1] (numeric) = 1.6997160753466035406274677899009 absolute error = 4e-63 relative error = 2.3533342174129441165430541139559e-61 % Correct digits = 64 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=121.20 x[1] = 0.776 y1[1] (analytic) = 1.7137209608867168366070851973929 y1[1] (numeric) = 1.7137209608867168366070851973929 absolute error = 1e-63 relative error = 5.8352556969518424560818758127057e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7004301464035807871325628381541 y2[1] (numeric) = 1.7004301464035807871325628381541 absolute error = 5e-63 relative error = 2.9404324609129212373506253023945e-61 % Correct digits = 64 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=121.43 x[1] = 0.777 y1[1] (analytic) = 1.7130201739966009027309257152522 y1[1] (numeric) = 1.7130201739966009027309257152522 absolute error = 1e-63 relative error = 5.8376428671410630543616295817741e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7011435170304699992337920796493 y2[1] (numeric) = 1.7011435170304699992337920796493 absolute error = 5e-63 relative error = 2.9391993973136615707514644630956e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2014.2MB, alloc=4.6MB, time=121.66 x[1] = 0.778 y1[1] (analytic) = 1.7123186740863703905997159407019 y1[1] (numeric) = 1.7123186740863703905997159407019 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7018561865139006094894936723398 y2[1] (numeric) = 1.7018561865139006094894936723398 absolute error = 5e-63 relative error = 2.9379685778514872449869508332556e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.779 y1[1] (analytic) = 1.71161646185752515198564410102 y1[1] (numeric) = 1.71161646185752515198564410102 absolute error = 1e-63 relative error = 5.8424303708481154927809067929624e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7025681541412031938581790001042 y2[1] (numeric) = 1.7025681541412031938581790001042 absolute error = 4e-63 relative error = 2.3493919995335812830204064389542e-61 % Correct digits = 64 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=121.89 x[1] = 0.78 y1[1] (analytic) = 1.7109135380122773572162650237646 y1[1] (numeric) = 1.7109135380122773572162650237646 absolute error = 1e-63 relative error = 5.8448307163539674588902131589590e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7032794192004101843678973251179 y2[1] (numeric) = 1.7032794192004101843678973251179 absolute error = 4e-63 relative error = 2.3484109271265459546558310381225e-61 % Correct digits = 64 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=122.12 x[1] = 0.781 y1[1] (analytic) = 1.710209903253550792962388326898 y1[1] (numeric) = 1.710209903253550792962388326898 absolute error = 1e-63 relative error = 5.8472354656441425196496056760478e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7039899809802565810837444291757 y2[1] (numeric) = 1.7039899809802565810837444291757 absolute error = 4e-63 relative error = 2.3474316425844914203734508542730e-61 % Correct digits = 64 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=122.35 x[1] = 0.782 y1[1] (analytic) = 1.7095055582849801593143503249576 y1[1] (numeric) = 1.7095055582849801593143503249576 absolute error = 1e-63 relative error = 5.8496446247488405901437510183742e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7046998387701806633728032765141 y2[1] (numeric) = 1.7046998387701806633728032765141 absolute error = 4e-63 relative error = 2.3464541434377765167789206947749e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.783 y1[1] (analytic) = 1.7088005038109103661473725749424 y1[1] (numeric) = 1.7088005038109103661473725749424 absolute error = 1e-63 relative error = 5.8520581997127989741440052720936e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.705408991860324700465805433254 y2[1] (numeric) = 1.705408991860324700465805433254 absolute error = 4e-63 relative error = 2.3454784272226972061569391584976e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2029.4MB, alloc=4.6MB, time=122.58 TOP MAIN SOLVE Loop x[1] = 0.784 y1[1] (analytic) = 1.7080947405363958287767106964985 y1[1] (numeric) = 1.7080947405363958287767106964985 absolute error = 2e-63 relative error = 1.1708952393190653333987463350231e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.70611743954153566131480268186 y2[1] (numeric) = 1.70611743954153566131480268186 absolute error = 4e-63 relative error = 2.3445044914814725188153097641005e-61 % Correct digits = 64 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=122.81 x[1] = 0.785 y1[1] (analytic) = 1.7073882691671997629032978111966 y1[1] (numeric) = 1.7073882691671997629032978111966 absolute error = 1e-63 relative error = 5.8568986214703387651900913717863e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7068251811053659237461389730047 y2[1] (numeric) = 1.7068251811053659237461389730047 absolute error = 4e-63 relative error = 2.3435323337622305390772165482802e-61 % Correct digits = 64 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=123.04 x[1] = 0.786 y1[1] (analytic) = 1.7066810904097934788505876551979 y1[1] (numeric) = 1.7066810904097934788505876551979 absolute error = 2e-63 relative error = 1.1718650960852781966029960986613e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.707532215844073982908013561925 y2[1] (numeric) = 1.707532215844073982908013561925 absolute error = 4e-63 relative error = 2.3425619516189944347774346376721e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2040.9MB, alloc=4.6MB, time=123.27 x[1] = 0.787 y1[1] (analytic) = 1.7059732049713556750933031284076 y1[1] (numeric) = 1.7059732049713556750933031284076 absolute error = 2e-63 relative error = 1.1723513559133428553138315062131e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7082385430506251590119268817658 y2[1] (numeric) = 1.7082385430506251590119268817658 absolute error = 4e-63 relative error = 2.3415933426116685301187557260652e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.788 y1[1] (analytic) = 1.7052646135597717310787967513083 y1[1] (numeric) = 1.7052646135597717310787967513083 absolute error = 2e-63 relative error = 1.1728385050018499151129962789016e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7089441620186923043673014125252 y2[1] (numeric) = 1.7089441620186923043673014125252 absolute error = 4e-63 relative error = 2.3406265043060244217454654678482e-61 % Correct digits = 64 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=123.50 x[1] = 0.789 y1[1] (analytic) = 1.7045553168836329993417302080539 y1[1] (numeric) = 1.7045553168836329993417302080539 absolute error = 2e-63 relative error = 1.1733265445773365246469125529397e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7096490720426565097085705110381 y2[1] (numeric) = 1.7096490720426565097085705110381 absolute error = 4e-63 relative error = 2.3396614342736871378912645401651e-61 % Correct digits = 64 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=123.73 x[1] = 0.79 y1[1] (analytic) = 1.703845315652236096912780861085 y1[1] (numeric) = 1.703845315652236096912780861085 absolute error = 2e-63 relative error = 1.1738154758692957849423038793525e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7103532724176078098140288749692 y2[1] (numeric) = 1.7103532724176078098140288749692 absolute error = 4e-63 relative error = 2.3386981300921213404595775410760e-61 % Correct digits = 64 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=123.96 x[1] = 0.791 y1[1] (analytic) = 1.7031346105755821960220838285014 y1[1] (numeric) = 1.7031346105755821960220838285014 absolute error = 2e-63 relative error = 1.1743053001101837608491839832384e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7110567624393458884157390220229 y2[1] (numeric) = 1.7110567624393458884157390220229 absolute error = 4e-63 relative error = 2.3377365893446175698947439899909e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.792 y1[1] (analytic) = 1.7024232023643763140981189206891 y1[1] (numeric) = 1.7024232023643763140981189206891 absolute error = 2e-63 relative error = 1.1747960185354265143226800846460e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7117595414043807823997888745235 y2[1] (numeric) = 1.7117595414043807823997888745235 absolute error = 4e-63 relative error = 2.3367768096202785327031334906150e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2056.1MB, alloc=4.6MB, time=124.19 TOP MAIN SOLVE Loop x[1] = 0.793 y1[1] (analytic) = 1.7017110917300266030627524372568 y1[1] (numeric) = 1.7017110917300266030627524372568 absolute error = 2e-63 relative error = 1.1752876323834271596161687787681e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7124616086099335852961962491652 y2[1] (numeric) = 1.7124616086099335852961962491652 absolute error = 4e-63 relative error = 2.3358187885140054314837726163950e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2059.9MB, alloc=4.6MB, time=124.42 x[1] = 0.794 y1[1] (analytic) = 1.7009982793846436379231445291801 y1[1] (numeric) = 1.7009982793846436379231445291801 absolute error = 3e-63 relative error = 1.7636702143433594106877271918897e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7131629633539371500577567620875 y2[1] (numeric) = 1.7131629633539371500577567620875 absolute error = 4e-63 relative error = 2.3348625236264843373286142947291e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2063.7MB, alloc=4.6MB, time=124.65 x[1] = 0.795 y1[1] (analytic) = 1.7002847660410397046612335341874 y1[1] (numeric) = 1.7002847660410397046612335341874 absolute error = 2e-63 relative error = 1.1762735513162423292882464647723e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.713863604935036791127132370486 y2[1] (numeric) = 1.713863604935036791127132370486 absolute error = 3e-63 relative error = 1.7504310094231294533398410572533e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2067.6MB, alloc=4.6MB, time=124.88 x[1] = 0.796 y1[1] (analytic) = 1.6995705524127280874215093958435 y1[1] (numeric) = 1.6995705524127280874215093958435 absolute error = 2e-63 relative error = 1.1767678588928121486186264508779e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7145635326525909857914784837286 y2[1] (numeric) = 1.7145635326525909857914784837286 absolute error = 3e-63 relative error = 1.7497164397044639951887812681125e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.797 y1[1] (analytic) = 1.6988556392139223549977889784976 y1[1] (numeric) = 1.6988556392139223549977889784976 absolute error = 3e-63 relative error = 1.7658946003134970719092732746457e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7152627458066720748239082894086 y2[1] (numeric) = 1.7152627458066720748239082894086 absolute error = 4e-63 relative error = 2.3320042423697818373064540524070e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2071.4MB, alloc=4.6MB, time=125.10 x[1] = 0.798 y1[1] (analytic) = 1.6981400271595356466197067912625 y1[1] (numeric) = 1.6981400271595356466197067912625 absolute error = 3e-63 relative error = 1.7666387647772925043464713961118e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7159612436980669624110936529281 y2[1] (numeric) = 1.7159612436980669624110936529281 absolute error = 3e-63 relative error = 1.7482912338595141854085255514635e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2075.2MB, alloc=4.6MB, time=125.33 x[1] = 0.799 y1[1] (analytic) = 1.6974237169651799570396353344726 y1[1] (numeric) = 1.6974237169651799570396353344726 absolute error = 3e-63 relative error = 1.7673842836152267552433141381927e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7166590256282778153663026630705 y2[1] (numeric) = 1.7166590256282778153663026630705 absolute error = 3e-63 relative error = 1.7475805941730530220562636717257e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2079.0MB, alloc=4.6MB, time=125.56 x[1] = 0.8 y1[1] (analytic) = 1.6967067093471654209207499816423 y1[1] (numeric) = 1.6967067093471654209207499816423 absolute error = 3e-63 relative error = 1.7681311587164626470756212777398e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7173560908995227616271746105814 y2[1] (numeric) = 1.7173560908995227616271746105814 absolute error = 4e-63 relative error = 2.3291616812590486415648763555388e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.801 y1[1] (analytic) = 1.6959890050224995965269540088002 y1[1] (numeric) = 1.6959890050224995965269540088002 absolute error = 3e-63 relative error = 1.7688793919747144394817142085253e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.718052438814736588037533902042 y2[1] (numeric) = 1.718052438814736588037533902042 absolute error = 4e-63 relative error = 2.3282176432050881913572290916198e-61 % Correct digits = 64 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=125.79 x[1] = 0.802 y1[1] (analytic) = 1.6952706047088867487153800812132 y1[1] (numeric) = 1.6952706047088867487153800812132 absolute error = 4e-63 relative error = 2.3595053137176782837567636773386e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7187480686775714374125451272789 y2[1] (numeric) = 1.7187480686775714374125451272789 absolute error = 4e-63 relative error = 2.3272753423820021428570726997270e-61 % Correct digits = 64 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=126.02 x[1] = 0.803 y1[1] (analytic) = 1.6945515091247271312321852049411 y1[1] (numeric) = 1.6945515091247271312321852049411 absolute error = 4e-63 relative error = 2.3605065874132603809196269262350e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7194429797923975048865122152131 y2[1] (numeric) = 1.7194429797923975048865122152131 absolute error = 3e-63 relative error = 1.7447510823314505480396724095384e-61 % Correct digits = 64 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=126.25 x[1] = 0.804 y1[1] (analytic) = 1.6938317189891162683123568473649 y1[1] (numeric) = 1.6938317189891162683123568473649 absolute error = 4e-63 relative error = 2.3615096795962775554390819827188e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7201371714643037335426253304078 y2[1] (numeric) = 1.7201371714643037335426253304078 absolute error = 4e-63 relative error = 2.3253959430426784153717996083592e-61 % Correct digits = 64 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=126.48 x[1] = 0.805 y1[1] (analytic) = 1.6931112350218442355842486268248 y1[1] (numeric) = 1.6931112350218442355842486268248 absolute error = 4e-63 relative error = 2.3625145928161020528951246657259e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7208306429990985093239598806256 y2[1] (numeric) = 1.7208306429990985093239598806256 absolute error = 4e-63 relative error = 2.3244588398476673790675644687698e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.806 y1[1] (analytic) = 1.6923900579433949402795646667706 y1[1] (numeric) = 1.6923900579433949402795646667706 absolute error = 4e-63 relative error = 2.3635213296282477133378017555015e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7215233937033103552250327244533 y2[1] (numeric) = 1.7215233937033103552250327244533 absolute error = 3e-63 relative error = 1.7426425983944682970061229137949e-61 % Correct digits = 64 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=126.71 x[1] = 0.807 y1[1] (analytic) = 1.6916681884749454007495124043812 y1[1] (numeric) = 1.6916681884749454007495124043812 absolute error = 4e-63 relative error = 2.3645298925943847107312030571672e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7222154228841886247632213874979 y2[1] (numeric) = 1.7222154228841886247632213874979 absolute error = 4e-63 relative error = 2.3225898147522177430630228509294e-61 % Correct digits = 64 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=126.94 x[1] = 0.808 y1[1] (analytic) = 1.6909456273383650252878443374403 y1[1] (numeric) = 1.6909456273383650252878443374403 absolute error = 5e-63 relative error = 2.9569253553529429230794145246852e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7229067298497041947293528157898 y2[1] (numeric) = 1.7229067298497041947293528157898 absolute error = 4e-63 relative error = 2.3216578882067141509575380670000e-61 % Correct digits = 64 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=127.17 x[1] = 0.809 y1[1] (analytic) = 1.6902223752562148902615098863655 y1[1] (numeric) = 1.6902223752562148902615098863655 absolute error = 5e-63 relative error = 2.9581906340827298013469186481938e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7235973139085501572167689158648 y2[1] (numeric) = 1.7235973139085501572167689158648 absolute error = 4e-63 relative error = 2.3207276825752991291295336268247e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.81 y1[1] (analytic) = 1.6894984329517470175496392406801 y1[1] (numeric) = 1.6894984329517470175496392406801 absolute error = 5e-63 relative error = 2.9594582051576266154702299796032e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7242871743701425109281768525145 y2[1] (numeric) = 1.7242871743701425109281768525145 absolute error = 4e-63 relative error = 2.3197991955493973307895064857703e-61 % Correct digits = 64 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=127.40 x[1] = 0.811 y1[1] (analytic) = 1.688773801148903651291581750883 y1[1] (numeric) = 1.688773801148903651291581750883 absolute error = 5e-63 relative error = 2.9607280718106881500738677545156e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7249763105446208517595927974149 y2[1] (numeric) = 1.7249763105446208517595927974149 absolute error = 4e-63 relative error = 2.3188724248259929580536879351363e-61 % Correct digits = 64 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=127.62 x[1] = 0.812 y1[1] (analytic) = 1.6880484805723165339447221176171 y1[1] (numeric) = 1.6880484805723165339447221176171 absolute error = 5e-63 relative error = 2.9620002372827575963072385783931e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7256647217428490626606885447446 y2[1] (numeric) = 1.7256647217428490626606885447446 absolute error = 4e-63 relative error = 2.3179473681076168736861178591003e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2117.2MB, alloc=4.6MB, time=127.85 x[1] = 0.813 y1[1] (analytic) = 1.6873224719473061816527983202618 y1[1] (numeric) = 1.6873224719473061816527983202618 absolute error = 4e-63 relative error = 2.3706197638579882596425343970835e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7263524072764160027708511335054 y2[1] (numeric) = 1.7263524072764160027708511335054 absolute error = 4e-63 relative error = 2.3170240231023337526530970177830e-61 % Correct digits = 64 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=128.08 x[1] = 0.814 y1[1] (analytic) = 1.6865957759998811589254459165685 y1[1] (numeric) = 1.6865957759998811589254459165685 absolute error = 4e-63 relative error = 2.3716411821490781727100348869619e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7270393664576361958302663405423 y2[1] (numeric) = 1.7270393664576361958302663405423 absolute error = 4e-63 relative error = 2.3161023875237292733605489856093e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.815 y1[1] (analytic) = 1.6858683934567373526296940337378 y1[1] (numeric) = 1.6858683934567373526296940337378 absolute error = 4e-63 relative error = 2.3726644473109328419900024583746e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7277255985995505178653376332361 y2[1] (numeric) = 1.7277255985995505178653376332361 absolute error = 4e-63 relative error = 2.3151824590908973484453210231861e-61 % Correct digits = 64 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=128.31 x[1] = 0.816 y1[1] (analytic) = 1.685140325045257245294139059378 y1[1] (numeric) = 1.685140325045257245294139059378 absolute error = 4e-63 relative error = 2.3736895619613003737491000540005e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7284111030159268841477528965088 y2[1] (numeric) = 1.7284111030159268841477528965088 absolute error = 4e-63 relative error = 2.3142642355284273949919487494125e-61 % Correct digits = 64 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=128.54 x[1] = 0.817 y1[1] (analytic) = 1.684411571493509187726522728114 y1[1] (numeric) = 1.684411571493509187726522728114 absolute error = 4e-63 relative error = 2.3747165287242351618994874662423e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.72909587902126093542651197513 y2[1] (numeric) = 1.72909587902126093542651197513 absolute error = 4e-63 relative error = 2.3133477145663916440469030180189e-61 % Correct digits = 64 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=128.77 x[1] = 0.818 y1[1] (analytic) = 1.683682133530246670945441986206 y1[1] (numeric) = 1.683682133530246670945441986206 absolute error = 3e-63 relative error = 1.7818090126725848570668279623936e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7297799259307767234322287993561 y2[1] (numeric) = 1.7297799259307767234322287993561 absolute error = 4e-63 relative error = 2.3124328939403324893028288987322e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.819 y1[1] (analytic) = 1.6829520118849075974269187024083 y1[1] (numeric) = 1.6829520118849075974269187024083 absolute error = 3e-63 relative error = 1.7825820218367353231915983700207e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7304632430604273956530225896556 y2[1] (numeric) = 1.7304632430604273956530225896556 absolute error = 4e-63 relative error = 2.3115197713912498748257761272286e-61 % Correct digits = 64 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=129.00 x[1] = 0.82 y1[1] (analytic) = 1.6822212072876135516665579784369 y1[1] (numeric) = 1.6822212072876135516665579784369 absolute error = 3e-63 relative error = 1.7833564260179265023530314552991e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7311458297268958793813133646877 y2[1] (numeric) = 1.7311458297268958793813133646877 absolute error = 4e-63 relative error = 2.3106083446655887216989078293925e-61 % Correct digits = 64 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=129.23 x[1] = 0.821 y1[1] (analytic) = 1.6814897204691690700580244968283 y1[1] (numeric) = 1.6814897204691690700580244968283 absolute error = 3e-63 relative error = 1.7841322272032328226797052204585e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7318276852475955650308377057945 y2[1] (numeric) = 1.7318276852475955650308377057945 absolute error = 4e-63 relative error = 2.3096986115152263934566597535096e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2143.9MB, alloc=4.6MB, time=129.46 x[1] = 0.822 y1[1] (analytic) = 1.6807575521610609100885670276502 y1[1] (numeric) = 1.6807575521610609100885670276502 absolute error = 3e-63 relative error = 1.7849094273845159930596502901449e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7325088089406709887232014610491 y2[1] (numeric) = 1.7325088089406709887232014610491 absolute error = 4e-63 relative error = 2.3087905696974602001838056682139e-61 % Correct digits = 64 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=129.70 x[1] = 0.823 y1[1] (analytic) = 1.6800247030954573188523218984808 y1[1] (numeric) = 1.6800247030954573188523218984808 absolute error = 3e-63 relative error = 1.7856880285584366246590382563807e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7331892001249985141432868023628 y2[1] (numeric) = 1.7331892001249985141432868023628 absolute error = 4e-63 relative error = 2.3078842169749949411543660135456e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.824 y1[1] (analytic) = 1.6792911740052073008821269142913 y1[1] (numeric) = 1.6792911740052073008821269142913 absolute error = 3e-63 relative error = 1.7864680327264658888972949136620e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7338688581201870136628317803018 y2[1] (numeric) = 1.7338688581201870136628317803018 absolute error = 5e-63 relative error = 2.8837244388949131073572204207612e-61 % Correct digits = 64 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=129.92 x[1] = 0.825 y1[1] (analytic) = 1.6785569656238398853005778953559 y1[1] (numeric) = 1.6785569656238398853005778953559 absolute error = 3e-63 relative error = 1.7872494418948972120018372241881e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7345477822465785487315012530908 y2[1] (numeric) = 1.7345477822465785487315012530908 absolute error = 4e-63 relative error = 2.3060765698937493934842095112017e-61 % Correct digits = 64 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=130.16 x[1] = 0.826 y1[1] (analytic) = 1.6778220786855633922910606820732 y1[1] (numeric) = 1.6778220786855633922910606820732 absolute error = 3e-63 relative error = 1.7880322580748580062661179659967e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7352259718252490495347687987877 y2[1] (numeric) = 1.7352259718252490495347687987877 absolute error = 5e-63 relative error = 2.8814690888591307126967765519844e-61 % Correct digits = 64 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=130.39 x[1] = 0.827 y1[1] (analytic) = 1.6770865139252646988894921356054 y1[1] (numeric) = 1.6770865139252646988894921356054 absolute error = 3e-63 relative error = 1.7888164832823214381351492103282e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.735903426178008993917929952807 y2[1] (numeric) = 1.735903426178008993917929952807 absolute error = 5e-63 relative error = 2.8803445656010087059649523667091e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.828 y1[1] (analytic) = 1.6763502720785085040975043425319 y1[1] (numeric) = 1.6763502720785085040975043425319 absolute error = 3e-63 relative error = 1.7896021195381182332431650588080e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7365801446274040855755678468317 y2[1] (numeric) = 1.7365801446274040855755678468317 absolute error = 4e-63 relative error = 2.3033777118638133023320692882354e-61 % Correct digits = 64 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=130.62 x[1] = 0.829 y1[1] (analytic) = 1.6756133538815365933178069102739 y1[1] (numeric) = 1.6756133538815365933178069102739 absolute error = 3e-63 relative error = 1.7903891688679485185285754559937e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7372561264967159315057930597084 y2[1] (numeric) = 1.7372561264967159315057930597084 absolute error = 5e-63 relative error = 2.8781018087890173190725334416016e-61 % Correct digits = 64 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=130.85 x[1] = 0.83 y1[1] (analytic) = 1.6748757600712671021124629178645 y1[1] (numeric) = 1.6748757600712671021124629178645 absolute error = 3e-63 relative error = 1.7911776333023937015518563885435e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7379313711099627187285802261381 y2[1] (numeric) = 1.7379313711099627187285802261381 absolute error = 5e-63 relative error = 2.8769835697290253154277980479564e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2170.6MB, alloc=4.6MB, time=131.08 x[1] = 0.831 y1[1] (analytic) = 1.6741374913852937792848147637283 y1[1] (numeric) = 1.6741374913852937792848147637283 absolute error = 4e-63 relative error = 2.3892900198359045161900231983969e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7386058777918998902675246848865 y2[1] (numeric) = 1.7386058777918998902675246848865 absolute error = 5e-63 relative error = 2.8758674199066916565771746448586e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.832 y1[1] (analytic) = 1.6733985485618852492857968284831 y1[1] (numeric) = 1.6733985485618852492857968284831 absolute error = 4e-63 relative error = 2.3903450875092431086690467841219e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7392796458680208203943431848106 y2[1] (numeric) = 1.7392796458680208203943431848106 absolute error = 4e-63 relative error = 2.2998026852684309925263243648258e-61 % Correct digits = 64 h = 0.001 memory used=2174.4MB, alloc=4.6MB, time=131.31 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.833 y1[1] (analytic) = 1.6726589323399842739453725463881 y1[1] (numeric) = 1.6726589323399842739453725463881 absolute error = 3e-63 relative error = 1.7935515376127024338881411738146e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.739952674664557489135443404258 y2[1] (numeric) = 1.739952674664557489135443404258 absolute error = 5e-63 relative error = 2.8736413770356952259274152801273e-61 % Correct digits = 64 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=131.54 x[1] = 0.834 y1[1] (analytic) = 1.6719186434592070135298341539424 y1[1] (numeric) = 1.6719186434592070135298341539424 absolute error = 3e-63 relative error = 1.7943456828694647660133557043701e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7406249635084811560398877773265 y2[1] (numeric) = 1.7406249635084811560398877773265 absolute error = 4e-63 relative error = 2.2980251828271047830694010878599e-61 % Correct digits = 64 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=131.77 x[1] = 0.835 y1[1] (analytic) = 1.6711776826598422871257040582708 y1[1] (numeric) = 1.6711776826598422871257040582708 absolute error = 3e-63 relative error = 1.7951412534573866392771602380501e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.741296511727503033208077859075 y2[1] (numeric) = 1.741296511727503033208077859075 absolute error = 5e-63 relative error = 2.8714236583633920684489310199425e-61 % Correct digits = 64 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=132.00 x[1] = 0.836 y1[1] (analytic) = 1.6704360506828508323509774413339 y1[1] (numeric) = 1.6704360506828508323509774413339 absolute error = 3e-63 relative error = 1.7959382514365887099692121658132e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7419673186500749575804862010582 y2[1] (numeric) = 1.7419673186500749575804862010582 absolute error = 4e-63 relative error = 2.2962543310512686456427759553942e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.837 y1[1] (analytic) = 1.6696937482698645643944463886591 y1[1] (numeric) = 1.6696937482698645643944463886591 absolute error = 3e-63 relative error = 1.7967366788721571225675099144148e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7426373836053900624857634485088 y2[1] (numeric) = 1.7426373836053900624857634485088 absolute error = 4e-63 relative error = 2.2953713937458926694631456214743e-61 % Correct digits = 64 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=132.23 x[1] = 0.838 y1[1] (analytic) = 1.6689507761631858343838465032063 y1[1] (numeric) = 1.6689507761631858343838465032063 absolute error = 3e-63 relative error = 1.7975365378341556912629295157847e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.743306705923383448447549111117 y2[1] (numeric) = 1.743306705923383448447549111117 absolute error = 4e-63 relative error = 2.2944901126169338099247259793196e-61 % Correct digits = 64 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=132.46 x[1] = 0.839 y1[1] (analytic) = 1.6682071351057866870835676361593 y1[1] (numeric) = 1.6682071351057866870835676361593 absolute error = 3e-63 relative error = 1.7983378303976381198400659814796e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7439752849347328532493152006504 y2[1] (numeric) = 1.7439752849347328532493152006504 absolute error = 4e-63 relative error = 2.2936104855119534633467114062572e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2197.3MB, alloc=4.6MB, time=132.70 x[1] = 0.84 y1[1] (analytic) = 1.6674628258413081179226710368709 y1[1] (numeric) = 1.6674628258413081179226710368709 absolute error = 3e-63 relative error = 1.7991405586426602600450780880416e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7446431199708593212565726706296 y2[1] (numeric) = 1.7446431199708593212565726706296 absolute error = 3e-63 relative error = 1.7195493827127858883512474834200e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.841 y1[1] (analytic) = 1.6667178491140593293539558938825 y1[1] (numeric) = 1.6667178491140593293539558938825 absolute error = 2e-63 relative error = 1.1999631497695282723811683805295e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7453102103639278719957713359055 y2[1] (numeric) = 1.7453102103639278719957713359055 absolute error = 3e-63 relative error = 1.7188921385926271764672279859336e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2201.1MB, alloc=4.6MB, time=132.92 TOP MAIN SOLVE Loop x[1] = 0.842 y1[1] (analytic) = 1.6659722056690169865448189078902 y1[1] (numeric) = 1.6659722056690169865448189078902 absolute error = 2e-63 relative error = 1.2005002203484210951983489004605e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7459765554468481679892246932965 y2[1] (numeric) = 1.7459765554468481679892246932965 absolute error = 3e-63 relative error = 1.7182361301708368776236325438509e-61 % Correct digits = 64 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=133.15 x[1] = 0.843 y1[1] (analytic) = 1.665225896251824472400651205734 y1[1] (numeric) = 1.665225896251824472400651205734 absolute error = 2e-63 relative error = 1.2010382522285427969344688613614e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7466421545532751818453918084153 y2[1] (numeric) = 1.7466421545532751818453918084153 absolute error = 2e-63 relative error = 1.1450542372324250618494998332032e-61 % Correct digits = 64 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=133.38 x[1] = 0.844 y1[1] (analytic) = 1.6644789216087911419215175719538 y1[1] (numeric) = 1.6644789216087911419215175719538 absolute error = 2e-63 relative error = 1.2015772468100185786658067460546e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7473070070176098626038491784596 y2[1] (numeric) = 1.7473070070176098626038491784596 absolute error = 2e-63 relative error = 1.1446185426874119006663244043413e-61 % Correct digits = 64 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=133.61 x[1] = 0.845 y1[1] (analytic) = 1.6637312824868915758928636411686 y1[1] (numeric) = 1.6637312824868915758928636411686 absolute error = 2e-63 relative error = 1.2021172054963496559463963448243e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7479711121749998013342862260498 y2[1] (numeric) = 1.7479711121749998013342862260498 absolute error = 2e-63 relative error = 1.1441836687514822529164062333485e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.846 y1[1] (analytic) = 1.6629829796337648339109973605104 y1[1] (numeric) = 1.6629829796337648339109973605104 absolute error = 2e-63 relative error = 1.2026581296944215868504714143741e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7486344693613398959888588251738 y2[1] (numeric) = 1.7486344693613398959888588251738 absolute error = 2e-63 relative error = 1.1437496143664989331212319159842e-61 % Correct digits = 64 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=133.84 x[1] = 0.847 y1[1] (analytic) = 1.6622340137977137067440916965694 y1[1] (numeric) = 1.6622340137977137067440916965694 absolute error = 2e-63 relative error = 1.2032000208145126262925813740380e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7492970779132730155072360069414 y2[1] (numeric) = 1.7492970779132730155072360069414 absolute error = 2e-63 relative error = 1.1433163784768846345872006664732e-61 % Correct digits = 64 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=134.07 x[1] = 0.848 y1[1] (analytic) = 1.6614843857277039680294562257845 y1[1] (numeric) = 1.6614843857277039680294562257845 absolute error = 3e-63 relative error = 1.8056143204054531600729679945052e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7499589371681906631736757401562 y2[1] (numeric) = 1.7499589371681906631736757401562 absolute error = 2e-63 relative error = 1.1428839600296161628346037814866e-61 % Correct digits = 64 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=134.30 x[1] = 0.849 y1[1] (analytic) = 1.6607340961733636253078259109465 y1[1] (numeric) = 1.6607340961733636253078259109465 absolute error = 3e-63 relative error = 1.8064300642183182678523531521462e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7506200464642336392254664296844 y2[1] (numeric) = 1.7506200464642336392254664296844 absolute error = 2e-63 relative error = 1.1424523579742186867520384469711e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.85 y1[1] (analytic) = 1.6599831458849821703954160294615 y1[1] (numeric) = 1.6599831458849821703954160294615 absolute error = 3e-63 relative error = 1.8072472647911243660031087991173e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7512804051402927027120715242355 y2[1] (numeric) = 1.7512804051402927027120715242355 absolute error = 2e-63 relative error = 1.1420215712627600074198630719120e-61 % Correct digits = 64 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=134.53 x[1] = 0.851 y1[1] (analytic) = 1.6592315356135098290944928812577 y1[1] (numeric) = 1.6592315356135098290944928812577 absolute error = 3e-63 relative error = 1.8080659242597711258036157722509e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7519400125360092326043153744632 y2[1] (numeric) = 1.7519400125360092326043153744632 absolute error = 3e-63 relative error = 1.7123873982747672668197738727819e-61 % Correct digits = 64 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=134.76 x[1] = 0.852 y1[1] (analytic) = 1.6584792661105568102432105657027 y1[1] (numeric) = 1.6584792661105568102432105657027 absolute error = 3e-63 relative error = 1.8088860447653105171815213228730e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7525988679917758881529492322585 y2[1] (numeric) = 1.7525988679917758881529492322585 absolute error = 2e-63 relative error = 1.1411624396926091404617324813371e-61 % Correct digits = 64 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=135.00 x[1] = 0.853 y1[1] (analytic) = 1.6577263381283925541054647776315 y1[1] (numeric) = 1.6577263381283925541054647776315 absolute error = 3e-63 relative error = 1.8097076284539595795446984359589e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7532569708487372684959370327215 y2[1] (numeric) = 1.7532569708487372684959370327215 absolute error = 2e-63 relative error = 1.1407340927507143816109100023257e-61 % Correct digits = 64 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=135.23 x[1] = 0.854 y1[1] (analytic) = 1.6569727524199449801015152325685 y1[1] (numeric) = 1.6569727524199449801015152325685 absolute error = 3e-63 relative error = 1.8105306774771132329843471017562e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7539143204487905715138013515826 y2[1] (numeric) = 1.7539143204487905715138013515826 absolute error = 2e-63 relative error = 1.1403065569863419374950792992398e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.855 y1[1] (analytic) = 1.6562185097387997338801289904588 y1[1] (numeric) = 1.6562185097387997338801289904588 absolute error = 3e-63 relative error = 1.8113551939913571299889367012300e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7545709161345862519323706827818 y2[1] (numeric) = 1.7545709161345862519323706827818 absolute error = 2e-63 relative error = 1.1398798313641874170011554341906e-61 % Correct digits = 64 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=135.45 x[1] = 0.856 y1[1] (analytic) = 1.6554636108391994337329976057035 y1[1] (numeric) = 1.6554636108391994337329976057035 absolute error = 3e-63 relative error = 1.8121811801584805478082407428942e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7552267572495286786722699335127 y2[1] (numeric) = 1.7552267572495286786722699335127 absolute error = 1e-63 relative error = 5.6972695742572752103367441127681e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2246.9MB, alloc=4.6MB, time=135.68 x[1] = 0.857 y1[1] (analytic) = 1.6547080564760429163521816890169 y1[1] (numeric) = 1.6547080564760429163521816890169 absolute error = 3e-63 relative error = 1.8130086381454893216072696673394e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7558818431377767914444967872976 y2[1] (numeric) = 1.7558818431377767914444967872976 absolute error = 1e-63 relative error = 5.6951440320892601931441394143763e-62 % Correct digits = 64 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=135.92 x[1] = 0.858 y1[1] (analytic) = 1.6539518474048844819313371236005 y1[1] (numeric) = 1.6539518474048844819313371236005 absolute error = 3e-63 relative error = 1.8138375701246188185504643286570e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7565361731442447565914273395693 y2[1] (numeric) = 1.7565361731442447565914273395693 absolute error = 1e-63 relative error = 5.6930225251779152239446643014050e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.859 y1[1] (analytic) = 1.6531949843819331386114778343436 y1[1] (numeric) = 1.6531949843819331386114778343436 absolute error = 3e-63 relative error = 1.8146679782733469529570720806682e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.757189746614602622172595164811 y2[1] (numeric) = 1.757189746614602622172595164811 absolute error = 1e-63 relative error = 5.6909050483967226808072408643666e-62 % Correct digits = 64 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=136.15 x[1] = 0.86 y1[1] (analytic) = 1.6524374681640518462720306642239 y1[1] (numeric) = 1.6524374681640518462720306642239 absolute error = 3e-63 relative error = 1.8154998647744072426691891521377e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7578425628952769722945887295286 y2[1] (numeric) = 1.7578425628952769722945887295286 absolute error = 1e-63 relative error = 5.6887915966315963416482375164597e-62 % Correct digits = 64 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=136.38 x[1] = 0.861 y1[1] (analytic) = 1.6516792995087567596679385667926 y1[1] (numeric) = 1.6516792995087567596679385667926 absolute error = 3e-63 relative error = 1.8163332318158019067745172007793e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7584946213334515806844128212126 y2[1] (numeric) = 1.7584946213334515806844128212126 absolute error = 1e-63 relative error = 5.6866821647808536818401594657506e-62 % Correct digits = 64 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=136.61 x[1] = 0.862 y1[1] (analytic) = 1.6509204791742164709135689775753 y1[1] (numeric) = 1.6509204791742164709135689775753 absolute error = 3e-63 relative error = 1.8171680815908150048264486027099e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7591459212770680635056604199826 y2[1] (numeric) = 1.7591459212770680635056604199826 absolute error = 1e-63 relative error = 5.6845767477551882568644315014597e-62 % Correct digits = 64 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=136.84 x[1] = 0.863 y1[1] (analytic) = 1.6501610079192512513141848804184 y1[1] (numeric) = 1.6501610079192512513141848804184 absolute error = 3e-63 relative error = 1.8180044162980256177046641739973e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7597964620748265314168421967984 y2[1] (numeric) = 1.7597964620748265314168421967984 absolute error = 1e-63 relative error = 5.6824753404776421697399222576695e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.864 y1[1] (analytic) = 1.6494008865033322925457367372467 y1[1] (numeric) = 1.6494008865033322925457367372467 absolute error = 3e-63 relative error = 1.8188422381413210702599986460710e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7604462430761862408712215799592 y2[1] (numeric) = 1.7604462430761862408712215799592 absolute error = 1e-63 relative error = 5.6803779378835786229598768527486e-62 % Correct digits = 64 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=137.07 x[1] = 0.865 y1[1] (analytic) = 1.6486401156865809471837341013768 y1[1] (numeric) = 1.6486401156865809471837341013768 absolute error = 3e-63 relative error = 1.8196815493299101958879033390645e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7610952636313662446575040901144 y2[1] (numeric) = 1.7610952636313662446575040901144 absolute error = 1e-63 relative error = 5.6782845349206545546709384279642e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2273.6MB, alloc=4.6MB, time=137.30 x[1] = 0.866 y1[1] (analytic) = 1.6478786962297679685819563854515 y1[1] (numeric) = 1.6478786962297679685819563854515 absolute error = 3e-63 relative error = 1.8205223520783366431754121087493e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7617435230913460416807304031469 y2[1] (numeric) = 1.7617435230913460416807304031469 absolute error = 1e-63 relative error = 5.6761951265487933588289486428883e-62 % Correct digits = 64 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=137.53 x[1] = 0.867 y1[1] (analytic) = 1.6471166288943127501017629052209 y1[1] (numeric) = 1.6471166288943127501017629052209 absolute error = 3e-63 relative error = 1.8213646486064922247670957957849e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7623910208078662259827233600927 y2[1] (numeric) = 1.7623910208078662259827233600927 absolute error = 1e-63 relative error = 5.6741097077401576890672226469376e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.868 y1[1] (analytic) = 1.6463539144422825636927629697972 y1[1] (numeric) = 1.6463539144422825636927629697972 absolute error = 2e-63 relative error = 1.2148056274264202057307147285174e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.763037756133429135001439903703 y2[1] (numeric) = 1.763037756133429135001439903703 absolute error = 1e-63 relative error = 5.6720282734791223460139954542743e-62 % Correct digits = 64 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=137.76 x[1] = 0.869 y1[1] (analytic) = 1.6455905536363917978256074376495 y1[1] (numeric) = 1.6455905536363917978256074376495 absolute error = 3e-63 relative error = 1.8230537319083792516267219774210e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7636837284212994970685796823498 y2[1] (numeric) = 1.7636837284212994970685796823498 absolute error = 1e-63 relative error = 5.6699508187622472477967340218178e-62 % Correct digits = 64 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=137.99 x[1] = 0.87 y1[1] (analytic) = 1.6448265472400011947776638054828 y1[1] (numeric) = 1.6448265472400011947776638054828 absolute error = 3e-63 relative error = 1.8239005231487558762563506511972e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7643289370255050781448028237229 y2[1] (numeric) = 1.7643289370255050781448028237229 absolute error = 1e-63 relative error = 5.6678773385982504834720026856374e-62 % Correct digits = 64 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=138.22 x[1] = 0.871 y1[1] (analytic) = 1.6440618960171170872723375442637 y1[1] (numeric) = 1.6440618960171170872723375442637 absolute error = 2e-63 relative error = 1.2164992114014526596824135233568e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7649733813008373277919101431513 y2[1] (numeric) = 1.7649733813008373277919101431513 absolute error = 1e-63 relative error = 5.6658078280079814491205589678155e-62 % Correct digits = 64 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=138.46 x[1] = 0.872 y1[1] (analytic) = 1.6432966007323906344728030430074 y1[1] (numeric) = 1.6432966007323906344728030430074 absolute error = 3e-63 relative error = 1.8255986160154829452721738187335e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7656170606028520243813398144258 y2[1] (numeric) = 1.7656170606028520243813398144258 absolute error = 1e-63 relative error = 5.6637422820243940663483421421776e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.873 y1[1] (analytic) = 1.6425306621511170573309081665308 y1[1] (numeric) = 1.6425306621511170573309081665308 absolute error = 2e-63 relative error = 1.2176332814272874996123090680555e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7662599742878699195383352946765 y2[1] (numeric) = 1.7662599742878699195383352946765 absolute error = 1e-63 relative error = 5.6616806956925200829349983611981e-62 % Correct digits = 64 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=138.69 x[1] = 0.874 y1[1] (analytic) = 1.6417640810392348732920170782044 y1[1] (numeric) = 1.6417640810392348732920170782044 absolute error = 2e-63 relative error = 1.2182018251574868056489305435934e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7669021217129773818211400591947 y2[1] (numeric) = 1.7669021217129773818211400591947 absolute error = 1e-63 relative error = 5.6596230640694424553725636159270e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2300.3MB, alloc=4.6MB, time=138.91 x[1] = 0.875 y1[1] (analytic) = 1.640996858163325130356556622796 y1[1] (numeric) = 1.640996858163325130356556622796 absolute error = 3e-63 relative error = 1.8281570650645426214680013780368e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7675435022360270396345754670545 y2[1] (numeric) = 1.7675435022360270396345754670545 absolute error = 1e-63 relative error = 5.6575693822242688130378993438772e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2304.1MB, alloc=4.6MB, time=139.15 x[1] = 0.876 y1[1] (analytic) = 1.6402289942906106404990322077955 y1[1] (numeric) = 1.6402289942906106404990322077955 absolute error = 3e-63 relative error = 1.8290129063945015154339464586701e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.768184115215638423377358844013 y2[1] (numeric) = 1.768184115215638423377358844013 absolute error = 2e-63 relative error = 1.1311039290476210007486890268624e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.877 y1[1] (analytic) = 1.6394604901889552124452797641414 y1[1] (numeric) = 1.6394604901889552124452797641414 absolute error = 2e-63 relative error = 1.2199135093334826163935338349094e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7688239600111986068225196354215 y2[1] (numeric) = 1.7688239600111986068225196354215 absolute error = 2e-63 relative error = 1.1306947696408057440823637448079e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2307.9MB, alloc=4.6MB, time=139.37 x[1] = 0.878 y1[1] (analytic) = 1.6386913466268628838087210090343 y1[1] (numeric) = 1.6386913466268628838087210090343 absolute error = 2e-63 relative error = 1.2204860934408831422590596010736e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7694630359828628477302722487879 y2[1] (numeric) = 1.7694630359828628477302722487879 absolute error = 2e-63 relative error = 1.1302863972454126417241510694652e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2311.7MB, alloc=4.6MB, time=139.61 x[1] = 0.879 y1[1] (analytic) = 1.6379215643734771525863898745154 y1[1] (numeric) = 1.6379215643734771525863898745154 absolute error = 2e-63 relative error = 1.2210596914419536290458432147899e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7701013424915552276927049731688 y2[1] (numeric) = 1.7701013424915552276927049731688 absolute error = 2e-63 relative error = 1.1298788108848302109531673036947e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2315.5MB, alloc=4.6MB, time=139.84 x[1] = 0.88 y1[1] (analytic) = 1.6371511441985802080154986057221 y1[1] (numeric) = 1.6371511441985802080154986057221 absolute error = 2e-63 relative error = 1.2216343048637955235862318432519e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.770738878898969291209645130756 y2[1] (numeric) = 1.770738878898969291209645130756 absolute error = 2e-63 relative error = 1.1294720095848256109178825004936e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.881 y1[1] (analytic) = 1.6363800868725921607913126721897 y1[1] (numeric) = 1.6363800868725921607913126721897 absolute error = 2e-63 relative error = 1.2222099352372033154104018085793e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.771375644567568683995061384847 y2[1] (numeric) = 1.771375644567568683995061384847 absolute error = 1e-63 relative error = 5.6453299618676971618250730853144e-62 % Correct digits = 64 h = 0.001 memory used=2319.3MB, alloc=4.6MB, time=140.07 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.882 y1[1] (analytic) = 1.6356083931665702726471042742594 y1[1] (numeric) = 1.6356083931665702726471042742594 absolute error = 2e-63 relative error = 1.2227865840966738700868207968950e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.772011638860587790513364897848 y2[1] (numeric) = 1.772011638860587790513364897848 absolute error = 1e-63 relative error = 5.6433037914074025167079678085639e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2323.1MB, alloc=4.6MB, time=140.30 x[1] = 0.883 y1[1] (analytic) = 1.6348360638522081852969548645758 y1[1] (numeric) = 1.6348360638522081852969548645758 absolute error = 2e-63 relative error = 1.2233642529804157923144585360273e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7726468611420323707449718030637 y2[1] (numeric) = 1.7726468611420323707449718030637 absolute error = 1e-63 relative error = 5.6412815317076035541022195993520e-62 % Correct digits = 64 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=140.53 x[1] = 0.884 y1[1] (analytic) = 1.6340630997018351487421777418069 y1[1] (numeric) = 1.6340630997018351487421777418069 absolute error = 2e-63 relative error = 1.2239429434303588188705650960968e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7732813107766801961804902247626 y2[1] (numeric) = 1.7732813107766801961804902247626 absolute error = 0 relative error = 0 % Correct digits = 64 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=140.76 x[1] = 0.885 y1[1] (analytic) = 1.6332895014884152489421324100994 y1[1] (numeric) = 1.6332895014884152489421324100994 absolute error = 2e-63 relative error = 1.2245226569921632415182537650341e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7739149871300816850428958523849 y2[1] (numeric) = 1.7739149871300816850428958523849 absolute error = 1e-63 relative error = 5.6372487253058520931286872487466e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.886 y1[1] (analytic) = 1.6325152699855466348502030333909 y1[1] (numeric) = 1.6325152699855466348502030333909 absolute error = 2e-63 relative error = 1.2251033952152293599785450924966e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7745478895685605367370608467703 y2[1] (numeric) = 1.7745478895685605367370608467703 absolute error = 1e-63 relative error = 5.6352381689914630204702476694153e-62 % Correct digits = 64 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=140.99 x[1] = 0.887 y1[1] (analytic) = 1.6317404059674607448157139485358 y1[1] (numeric) = 1.6317404059674607448157139485358 absolute error = 2e-63 relative error = 1.2256851596527069650719501897211e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7751800174592143655260016289293 y2[1] (numeric) = 1.7751800174592143655260016289293 absolute error = 1e-63 relative error = 5.6332315042126452513643332312100e-62 % Correct digits = 64 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=141.22 x[1] = 0.888 y1[1] (analytic) = 1.6309649102090215323525558352659 y1[1] (numeric) = 1.6309649102090215323525558352659 absolute error = 1e-63 relative error = 6.1313397593075242606754736432464e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7758113701699153334332118751625 y2[1] (numeric) = 1.7758113701699153334332118751625 absolute error = 1e-63 relative error = 5.6312287261924490850344814695538e-62 % Correct digits = 64 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=141.45 x[1] = 0.889 y1[1] (analytic) = 1.630188783485724691275296774293 y1[1] (numeric) = 1.630188783485724691275296774293 absolute error = 1e-63 relative error = 6.1342588670115018240915515514750e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7764419470693107823704478162497 y2[1] (numeric) = 1.7764419470693107823704478162497 absolute error = 1e-63 relative error = 5.6292298301655864222441489768723e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.89 y1[1] (analytic) = 1.6294120265736968802035530573803 y1[1] (numeric) = 1.6294120265736968802035530573803 absolute error = 1e-63 relative error = 6.1371831291977448468527348948594e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7770717475268238654903337129732 y2[1] (numeric) = 1.7770717475268238654903337129732 absolute error = 1e-63 relative error = 5.6272348113784054238570141075073e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2346.0MB, alloc=4.6MB, time=141.68 TOP MAIN SOLVE Loop x[1] = 0.891 y1[1] (analytic) = 1.6286346402496949464353952449452 y1[1] (numeric) = 1.6286346402496949464353952449452 absolute error = 2e-63 relative error = 1.2280225107414938595183896548619e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7777007709126541777631561554249 y2[1] (numeric) = 1.7777007709126541777631561554249 absolute error = 1e-63 relative error = 5.6252436650888652470578154316179e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2349.9MB, alloc=4.6MB, time=141.91 x[1] = 0.892 y1[1] (analytic) = 1.6278566252911051491905655977243 y1[1] (numeric) = 1.6278566252911051491905655977243 absolute error = 1e-63 relative error = 6.1430471484008779602319607588121e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7783290165977783857772166093547 y2[1] (numeric) = 1.7783290165977783857772166093547 absolute error = 1e-63 relative error = 5.6232563865665108589932872024435e-62 % Correct digits = 64 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=142.15 x[1] = 0.893 y1[1] (analytic) = 1.6270779824759423822242836392167 y1[1] (numeric) = 1.6270779824759423822242836392167 absolute error = 2e-63 relative error = 1.2291973842314417531863752490034e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7789564839539508567621124092591 y2[1] (numeric) = 1.7789564839539508567621124092591 absolute error = 1e-63 relative error = 5.6212729710924479275936589378809e-62 % Correct digits = 64 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=142.38 x[1] = 0.894 y1[1] (analytic) = 1.626298712582849395812417235037 y1[1] (numeric) = 1.626298712582849395812417235037 absolute error = 2e-63 relative error = 1.2297863759749566559237700058437e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7795831723537042868343171749836 y2[1] (numeric) = 1.7795831723537042868343171749836 absolute error = 1e-63 relative error = 5.6192934139593177893360884521431e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.895 y1[1] (analytic) = 1.6255188163910960181087972039415 y1[1] (numeric) = 1.6255188163910960181087972039415 absolute error = 2e-63 relative error = 1.2303764064942110683295241525538e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.780209081170350328464432406308 y2[1] (numeric) = 1.780209081170350328464432406308 absolute error = 1e-63 relative error = 5.6173177104712724937122963225958e-62 % Correct digits = 64 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=142.61 x[1] = 0.896 y1[1] (analytic) = 1.6247382946805783758754541031468 y1[1] (numeric) = 1.6247382946805783758754541031468 absolute error = 2e-63 relative error = 1.2309674773765319730265279743277e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7808342097779802171654827883184 y2[1] (numeric) = 1.7808342097779802171654827883184 absolute error = 1e-63 relative error = 5.6153458559439499241635648568948e-62 % Correct digits = 64 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=142.84 x[1] = 0.897 y1[1] (analytic) = 1.6239571482318181145865564576418 y1[1] (numeric) = 1.6239571482318181145865564576418 absolute error = 2e-63 relative error = 1.2315595902130923578999566316596e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7814585575514653974016285193201 y2[1] (numeric) = 1.7814585575514653974016285193201 absolute error = 1e-63 relative error = 5.6133778457044489952471561524040e-62 % Correct digits = 64 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=143.07 x[1] = 0.898 y1[1] (analytic) = 1.6231753778259616179068303294869 y1[1] (numeric) = 1.6231753778259616179068303294869 absolute error = 2e-63 relative error = 1.2321527465989210381613683434334e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7820821238664581477166687526331 y2[1] (numeric) = 1.7820821238664581477166687526331 absolute error = 1e-63 relative error = 5.6114136750913049257990918295881e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.899 y1[1] (analytic) = 1.6223929842447792265452407486178 y1[1] (numeric) = 1.6223929842447792265452407486178 absolute error = 2e-63 relative error = 1.2327469481329125098768423063214e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7827049080993922050817110238177 y2[1] (numeric) = 1.7827049080993922050817110238177 absolute error = 1e-63 relative error = 5.6094533394544645878591214896089e-62 % Correct digits = 64 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=143.30 x[1] = 0.9 y1[1] (analytic) = 1.6216099682706644564847161514071 y1[1] (numeric) = 1.6216099682706644564847161514071 absolute error = 2e-63 relative error = 1.2333421964178368350698866458395e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7833269096274833884613823157135 y2[1] (numeric) = 1.7833269096274833884613823157135 absolute error = 2e-63 relative error = 1.1214993668310523862249175819207e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2376.6MB, alloc=4.6MB, time=143.54 x[1] = 0.901 y1[1] (analytic) = 1.6208263306866332165886975971928 y1[1] (numeric) = 1.6208263306866332165886975971928 absolute error = 1e-63 relative error = 6.1696924653017477925514755014114e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7839481278287302215979581951327 y2[1] (numeric) = 1.7839481278287302215979581951327 absolute error = 2e-63 relative error = 1.1211088309132786965401548925763e-61 % Correct digits = 64 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=143.77 x[1] = 0.902 y1[1] (analytic) = 1.6200420722763230255852951561612 y1[1] (numeric) = 1.6200420722763230255852951561612 absolute error = 1e-63 relative error = 6.1726791983550082815029076926472e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7845685620819145550127872371293 y2[1] (numeric) = 1.7845685620819145550127872371293 absolute error = 1e-63 relative error = 5.6035952960718939219161942512981e-62 % Correct digits = 64 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=143.99 x[1] = 0.903 y1[1] (analytic) = 1.619257193823992228429834484361 y1[1] (numeric) = 1.619257193823992228429834484361 absolute error = 1e-63 relative error = 6.1756711893212475818603690809965e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7851882117666021872243887354735 y2[1] (numeric) = 1.7851882117666021872243887354735 absolute error = 1e-63 relative error = 5.6016502540671117299721509789619e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.904 y1[1] (analytic) = 1.6184716961145192120465772232376 y1[1] (numeric) = 1.6184716961145192120465772232376 absolute error = 1e-63 relative error = 6.1786684462923247550160144585396e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7858070762631434851826024812843 y2[1] (numeric) = 1.7858070762631434851826024812843 absolute error = 0 relative error = 0 % Correct digits = 64 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=144.22 x[1] = 0.905 y1[1] (analytic) = 1.6176855799334016204503994819018 y1[1] (numeric) = 1.6176855799334016204503994819018 absolute error = 1e-63 relative error = 6.1816709773797262073648978219581e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7864251549526740039181701757212 y2[1] (numeric) = 1.7864251549526740039181701757212 absolute error = 0 relative error = 0 % Correct digits = 64 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=144.45 x[1] = 0.906 y1[1] (analytic) = 1.6168988460667555692492132803878 y1[1] (numeric) = 1.6168988460667555692492132803878 absolute error = 2e-63 relative error = 1.2369357581429232149631096709596e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.787042447217115105407128827208 y2[1] (numeric) = 1.787042447217115105407128827208 absolute error = 1e-63 relative error = 5.5958379811137519370233922466826e-62 % Correct digits = 64 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=144.68 x[1] = 0.907 y1[1] (analytic) = 1.6161114953013148595279164514162 y1[1] (numeric) = 1.6161114953013148595279164514162 absolute error = 2e-63 relative error = 1.2375383788895773538226590941911e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7876589524391745766493972688437 y2[1] (numeric) = 1.7876589524391745766493972688437 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.908 y1[1] (analytic) = 1.6153235284244301911146571166434 y1[1] (numeric) = 1.6153235284244301911146571166434 absolute error = 2e-63 relative error = 1.2381420593500419373096425090699e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7882746700023472469609377174681 y2[1] (numeric) = 1.7882746700023472469609377174681 absolute error = 0 relative error = 0 % Correct digits = 64 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=144.91 x[1] = 0.909 y1[1] (analytic) = 1.6145349462240683752301994710699 y1[1] (numeric) = 1.6145349462240683752301994710699 absolute error = 3e-63 relative error = 1.8581202017436258238865616399040e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7888895992909156044788750822699 y2[1] (numeric) = 1.7888895992909156044788750822699 absolute error = 1e-63 relative error = 5.5900598918814354107495691971297e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2403.3MB, alloc=4.6MB, time=145.14 x[1] = 0.91 y1[1] (analytic) = 1.6137457494888115465211782261747 y1[1] (numeric) = 1.6137457494888115465211782261747 absolute error = 3e-63 relative error = 1.8590289089531694276748317068891e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7895037396899504118789575178715 y2[1] (numeric) = 1.7895037396899504118789575178715 absolute error = 1e-63 relative error = 5.5881414373197124198260167760832e-62 % Correct digits = 64 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=145.37 x[1] = 0.911 y1[1] (analytic) = 1.6129559390078563744780296784564 y1[1] (numeric) = 1.6129559390078563744780296784564 absolute error = 2e-63 relative error = 1.2399594754151919918151942878948e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7901170905853113213047425044789 y2[1] (numeric) = 1.7901170905853113213047425044789 absolute error = 0 relative error = 0 % Correct digits = 64 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=145.60 x[1] = 0.912 y1[1] (analytic) = 1.612165515571013274238387985384 y1[1] (numeric) = 1.612165515571013274238387985384 absolute error = 2e-63 relative error = 1.2405674111517138738976310284599e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7907296513636474885078935259636 y2[1] (numeric) = 1.7907296513636474885078935259636 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.913 y1[1] (analytic) = 1.6113744799687056167767358452946 y1[1] (numeric) = 1.6113744799687056167767358452946 absolute error = 2e-63 relative error = 1.2411764148324117993810120281670e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7913414214123981861989732056309 y2[1] (numeric) = 1.7913414214123981861989732056309 absolute error = 0 relative error = 0 % Correct digits = 64 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=145.83 x[1] = 0.914 y1[1] (analytic) = 1.6105828329919689384810993915234 y1[1] (numeric) = 1.6105828329919689384810993915234 absolute error = 2e-63 relative error = 1.2417864881153696387867770554386e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7919524001197934166081195489314 y2[1] (numeric) = 1.7919524001197934166081195489314 absolute error = 0 relative error = 0 % Correct digits = 64 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=146.06 x[1] = 0.915 y1[1] (analytic) = 1.609790575432450150117577724003 y1[1] (numeric) = 1.609790575432450150117577724003 absolute error = 2e-63 relative error = 1.2423976326626989707958084204334e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7925625868748545232549927324916 y2[1] (numeric) = 1.7925625868748545232549927324916 absolute error = 0 relative error = 0 % Correct digits = 64 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=146.29 x[1] = 0.916 y1[1] (analytic) = 1.6089977080824067451834981137382 y1[1] (numeric) = 1.6089977080824067451834981137382 absolute error = 1e-63 relative error = 6.2150492507027474398953263186546e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7931719810673948019273806695674 y2[1] (numeric) = 1.7931719810673948019273806695674 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.917 y1[1] (analytic) = 1.6082042317347060076499885269339 y1[1] (numeric) = 1.6082042317347060076499885269339 absolute error = 1e-63 relative error = 6.2181157110955971802783326522896e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7937805820880201108678523733656 y2[1] (numeric) = 1.7937805820880201108678523733656 absolute error = 0 relative error = 0 % Correct digits = 64 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=146.51 x[1] = 0.918 y1[1] (analytic) = 1.6074101471828242190947597261393 y1[1] (numeric) = 1.6074101471828242190947597261393 absolute error = 1e-63 relative error = 6.2211875528633304339876873820036e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7943883893281294801678489316321 y2[1] (numeric) = 1.7943883893281294801678489316321 absolute error = 0 relative error = 0 % Correct digits = 64 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=146.75 x[1] = 0.919 y1[1] (analytic) = 1.6066154552208458652258898155579 y1[1] (numeric) = 1.6066154552208458652258898155579 absolute error = 2e-63 relative error = 1.2448529568795162447002203955093e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7949954021799157203686026984643 y2[1] (numeric) = 1.7949954021799157203686026984643 absolute error = 0 relative error = 0 % Correct digits = 64 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=146.98 x[1] = 0.92 y1[1] (analytic) = 1.6058201566434628417974047066744 y1[1] (numeric) = 1.6058201566434628417974047066744 absolute error = 2e-63 relative error = 1.2454694828220767875399382800796e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7956016200363660302682761024816 y2[1] (numeric) = 1.7956016200363660302682761024816 absolute error = 0 relative error = 0 % Correct digits = 64 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=147.21 x[1] = 0.921 y1[1] (analytic) = 1.6050242522459736599174485885512 y1[1] (numeric) = 1.6050242522459736599174485885512 absolute error = 2e-63 relative error = 1.2460870900868452409374903366306e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7962070422912626039347122642647 y2[1] (numeric) = 1.7962070422912626039347122642647 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.922 y1[1] (analytic) = 1.6042277428242826507498390945582 y1[1] (numeric) = 1.6042277428242826507498390945582 absolute error = 1e-63 relative error = 6.2335289018221019352502534646961e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7968116683391832369231904103635 y2[1] (numeric) = 1.7968116683391832369231904103635 absolute error = 0 relative error = 0 % Correct digits = 64 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=147.44 x[1] = 0.923 y1[1] (analytic) = 1.6034306291748991696098024639136 y1[1] (numeric) = 1.6034306291748991696098024639136 absolute error = 2e-63 relative error = 1.2473255553495129075124362558044e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.797415497575501931698579866169 y2[1] (numeric) = 1.797415497575501931698579866169 absolute error = 0 relative error = 0 % Correct digits = 64 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=147.67 x[1] = 0.924 y1[1] (analytic) = 1.6026329120949367994546846022351 y1[1] (numeric) = 1.6026329120949367994546846022351 absolute error = 1e-63 relative error = 6.2397320837047803037495326293605e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7980185293963895022612872055464 y2[1] (numeric) = 1.7980185293963895022612872055464 absolute error = 0 relative error = 0 % Correct digits = 64 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=147.91 x[1] = 0.925 y1[1] (analytic) = 1.6018345923821125537704345503238 y1[1] (numeric) = 1.6018345923821125537704345503238 absolute error = 1e-63 relative error = 6.2428418312085819689252862816029e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7986207631988141779763919313308 y2[1] (numeric) = 1.7986207631988141779763919313308 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.926 y1[1] (analytic) = 1.6010356708347460788546574746306 y1[1] (numeric) = 1.6010356708347460788546574746306 absolute error = 1e-63 relative error = 6.2459570277945224433093558374862e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7992221983805422066053668576022 y2[1] (numeric) = 1.7992221983805422066053668576022 absolute error = 1e-63 relative error = 5.5579572156239941504702492032832e-62 % Correct digits = 64 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=148.13 x[1] = 0.927 y1[1] (analytic) = 1.6002361482517588554970348962863 y1[1] (numeric) = 1.6002361482517588554970348962863 absolute error = 1e-63 relative error = 6.2490776820189287180524625544511e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.7998228343401384565397801620681 y2[1] (numeric) = 1.7998228343401384565397801620681 absolute error = 0 relative error = 0 % Correct digits = 64 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=148.36 x[1] = 0.928 y1[1] (analytic) = 1.5994360254326734000579104782075 y1[1] (numeric) = 1.5994360254326734000579104782075 absolute error = 1e-63 relative error = 6.2522038024589559453839906217002e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8004226704769670182363768749028 y2[1] (numeric) = 1.8004226704769670182363768749028 absolute error = 1e-63 relative error = 5.5542513233022139783371493071277e-62 % Correct digits = 64 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=148.59 x[1] = 0.929 y1[1] (analytic) = 1.5986353031776124649458402916272 y1[1] (numeric) = 1.5986353031776124649458402916272 absolute error = 1e-63 relative error = 6.2553353977126416937067287372628e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8010217061911918048529383690117 y2[1] (numeric) = 1.8010217061911918048529383690117 absolute error = 1e-63 relative error = 5.5524039302935674176125805356798e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.93 y1[1] (analytic) = 1.597833982287298238494907084433 y1[1] (numeric) = 1.597833982287298238494907084433 absolute error = 1e-63 relative error = 6.2584724763989603782639539155791e-62 % Correct digits = 64 memory used=2464.3MB, alloc=4.6MB, time=148.83 h = 0.001 y2[1] (analytic) = 1.8016199408837771520843192159107 y2[1] (numeric) = 1.8016199408837771520843192159107 absolute error = 1e-63 relative error = 5.5505602336387005598096986734646e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.931 y1[1] (analytic) = 1.5970320635630515442425986739304 y1[1] (numeric) = 1.5970320635630515442425986739304 absolute error = 1e-63 relative error = 6.2616150471578778680068770463704e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8022173739564884171980615712348 y2[1] (numeric) = 1.8022173739564884171980615712348 absolute error = 1e-63 relative error = 5.5487202290401588369609578709240e-62 % Correct digits = 64 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=149.05 x[1] = 0.932 y1[1] (analytic) = 1.5962295478067910396090511860886 y1[1] (numeric) = 1.5962295478067910396090511860886 absolute error = 1e-63 relative error = 6.2647631186504062692930448807478e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.802814004811892577268988054311 y2[1] (numeric) = 1.802814004811892577268988054311 absolute error = 1e-63 relative error = 5.5468839122111268693600745553819e-62 % Correct digits = 64 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=149.29 x[1] = 0.933 y1[1] (analytic) = 1.5954264358210324139784584619569 y1[1] (numeric) = 1.5954264358210324139784584619569 absolute error = 1e-63 relative error = 6.2679166995586588870488798973664e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8034098328533588266121748872515 y2[1] (numeric) = 1.8034098328533588266121748872515 absolute error = 1e-63 relative error = 5.5450512788754062571588239930748e-62 % Correct digits = 64 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=149.51 x[1] = 0.934 y1[1] (analytic) = 1.5946227284088875861834495497756 y1[1] (numeric) = 1.5946227284088875861834495497756 absolute error = 1e-63 relative error = 6.2710757985859053640321379579742e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8040048574850591734137078606457 y2[1] (numeric) = 1.8040048574850591734137078606457 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.935 y1[1] (analytic) = 1.5938184263740639013932367983387 y1[1] (numeric) = 1.5938184263740639013932367983387 absolute error = 1e-63 relative error = 6.2742404244566269988326738562842e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8045990781119690355586244951433 y2[1] (numeric) = 1.8045990781119690355586244951433 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2479.6MB, alloc=4.6MB, time=149.74 x[1] = 0.936 y1[1] (analytic) = 1.5930135305208633274063376633907 y1[1] (numeric) = 1.5930135305208633274063376633907 absolute error = 2e-63 relative error = 1.2554821171833144486505053710772e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8051924941398678356554465710368 y2[1] (numeric) = 1.8051924941398678356554465710368 absolute error = 0 relative error = 0 % Correct digits = 64 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=149.97 x[1] = 0.937 y1[1] (analytic) = 1.5922080416541816503486739342715 y1[1] (numeric) = 1.5922080416541816503486739342715 absolute error = 1e-63 relative error = 6.2805862917328123797089721558765e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8057851049753395952567080013595 y2[1] (numeric) = 1.8057851049753395952567080013595 absolute error = 1e-63 relative error = 5.5377574953120257026400677374965e-62 % Correct digits = 64 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=150.20 x[1] = 0.938 y1[1] (analytic) = 1.5914019605795076697778526826406 y1[1] (numeric) = 1.5914019605795076697778526826406 absolute error = 2e-63 relative error = 1.2567535101387594758613659997707e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8063769100257735282748838280223 y2[1] (numeric) = 1.8063769100257735282748838280223 absolute error = 1e-63 relative error = 5.5359432156699341396047736520600e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.939 y1[1] (analytic) = 1.590595288102922393194433828935 y1[1] (numeric) = 1.590595288102922393194433828935 absolute error = 1e-63 relative error = 6.2869543716094119412289818444843e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8069679086993646335931269251073 y2[1] (numeric) = 1.8069679086993646335931269251073 absolute error = 1e-63 relative error = 5.5341325940856849938485370682395e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2491.0MB, alloc=4.6MB, time=150.43 TOP MAIN SOLVE Loop x[1] = 0.94 y1[1] (analytic) = 1.589788025031098229960989815224 y1[1] (numeric) = 1.589788025031098229960989815224 absolute error = 1e-63 relative error = 6.2901467633110317140967128380040e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8075581004051142868702197986341 y2[1] (numeric) = 1.8075581004051142868702197986341 absolute error = 1e-63 relative error = 5.5323256263567825837214471555806e-62 % Correct digits = 64 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=150.66 x[1] = 0.941 y1[1] (analytic) = 1.5889801721712981846297634653354 y1[1] (numeric) = 1.5889801721712981846297634653354 absolute error = 1e-63 relative error = 6.2933447346515796999541816409914e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8081474845528308315391496778929 y2[1] (numeric) = 1.8081474845528308315391496778929 absolute error = 1e-63 relative error = 5.5305223082911729746164740029489e-62 % Correct digits = 64 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=150.90 x[1] = 0.942 y1[1] (analytic) = 1.5881717303313750496797307045275 y1[1] (numeric) = 1.5881717303313750496797307045275 absolute error = 1e-63 relative error = 6.2965482945055828415340127271987e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8087360605531301689987158998209 y2[1] (numeric) = 1.8087360605531301689987158998209 absolute error = 2e-63 relative error = 1.1057445271414444752281035505304e-61 % Correct digits = 64 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=151.13 x[1] = 0.943 y1[1] (analytic) = 1.5873627003197705976638754015769 y1[1] (numeric) = 1.5873627003197705976638754015769 absolute error = 1e-63 relative error = 6.2997574517692287934637124800490e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8093238278174363479975793948635 y2[1] (numeric) = 1.8093238278174363479975793948635 absolute error = 2e-63 relative error = 1.1053853208867391211137858699042e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.944 y1[1] (analytic) = 1.58655308294551477276748418594 y1[1] (numeric) = 1.58655308294551477276748418594 absolute error = 1e-63 relative error = 6.3029722153604228780753289444020e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8099107857579821532101648903185 y2[1] (numeric) = 1.8099107857579821532101648903185 absolute error = 2e-63 relative error = 1.1050268420619469234771462321056e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2506.3MB, alloc=4.6MB, time=151.36 x[1] = 0.945 y1[1] (analytic) = 1.5857428790182248817782696816264 y1[1] (numeric) = 1.5857428790182248817782696816264 absolute error = 1e-63 relative error = 6.3061925942188452264835059399389e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8104969337878096930038272553123 y2[1] (numeric) = 1.8104969337878096930038272553123 absolute error = 1e-63 relative error = 5.5233454491848370987125042159883e-62 % Correct digits = 64 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=151.59 x[1] = 0.946 y1[1] (analytic) = 1.5849320893481047844691311875929 y1[1] (numeric) = 1.5849320893481047844691311875929 absolute error = 1e-63 relative error = 6.3094185973060081055998254994779e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8110822713207709863966942202884 y2[1] (numeric) = 1.8110822713207709863966942202884 absolute error = 2e-63 relative error = 1.1043120633837670260859288935687e-61 % Correct digits = 64 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=151.82 x[1] = 0.947 y1[1] (analytic) = 1.5841207147459440833943624218299 y1[1] (numeric) = 1.5841207147459440833943624218299 absolute error = 1e-63 relative error = 6.3126502336053134317540883149721e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8116667977715285492055985132169 y2[1] (numeric) = 1.8116667977715285492055985132169 absolute error = 2e-63 relative error = 1.1039557618763747827588846533234e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.948 y1[1] (analytic) = 1.5833087560231173131001165328662 y1[1] (numeric) = 1.5833087560231173131001165328662 absolute error = 2e-63 relative error = 1.2631775024244220943191900238972e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8122505125555559793835132646391 y2[1] (numeric) = 1.8122505125555559793835132646391 absolute error = 2e-63 relative error = 1.1036001844908781124722034478009e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2517.7MB, alloc=4.6MB, time=152.05 TOP MAIN SOLVE Loop x[1] = 0.949 y1[1] (analytic) = 1.5824962139915831287499391681575 y1[1] (numeric) = 1.5824962139915831287499391681575 absolute error = 2e-63 relative error = 1.2638260883767507461906225536117e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8128334150891385415459053441629 y2[1] (numeric) = 1.8128334150891385415459053441629 absolute error = 2e-63 relative error = 1.1032453304054185918016799830675e-61 % Correct digits = 64 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=152.28 x[1] = 0.95 y1[1] (analytic) = 1.5816830894638834941661809737605 y1[1] (numeric) = 1.5816830894638834941661809737605 absolute error = 1e-63 relative error = 6.3223790319396610323250622673497e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8134155047893737506854221021026 y2[1] (numeric) = 1.8134155047893737506854221021026 absolute error = 1e-63 relative error = 5.5144559940009386778827118227613e-62 % Correct digits = 64 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=152.51 x[1] = 0.951 y1[1] (analytic) = 1.5808693832531428692881014838095 y1[1] (numeric) = 1.5808693832531428692881014838095 absolute error = 2e-63 relative error = 1.2651266582722743563388304413927e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8139967810741719550743278016264 y2[1] (numeric) = 1.8139967810741719550743278016264 absolute error = 1e-63 relative error = 5.5126889442871139710614473384666e-62 % Correct digits = 64 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=152.74 x[1] = 0.952 y1[1] (analytic) = 1.580055096173067397047476941627 y1[1] (numeric) = 1.580055096173067397047476941627 absolute error = 2e-63 relative error = 1.2657786458485210850677300056795e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8145772433622569183541068390228 y2[1] (numeric) = 1.8145772433622569183541068390228 absolute error = 1e-63 relative error = 5.5109254988070128197475154000149e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.953 y1[1] (analytic) = 1.5792402290379440896625251767901 y1[1] (numeric) = 1.5792402290379440896625251767901 absolute error = 1e-63 relative error = 6.3321588546993200973351953949714e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8151568910731664008116516625311 y2[1] (numeric) = 1.8151568910731664008116516625311 absolute error = 1e-63 relative error = 5.5091656534922160498019472090900e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2533.0MB, alloc=4.6MB, time=152.97 x[1] = 0.954 y1[1] (analytic) = 1.5784247826626400143509612441614 y1[1] (numeric) = 1.5784247826626400143509612441614 absolute error = 1e-63 relative error = 6.3354301768697714584409646625975e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8157357236272527398414541135974 y2[1] (numeric) = 1.8157357236272527398414541135974 absolute error = 1e-63 relative error = 5.5074094042844705114247373531704e-62 % Correct digits = 64 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=153.19 x[1] = 0.955 y1[1] (analytic) = 1.5776087578626014784629981117605 y1[1] (numeric) = 1.5776087578626014784629981117605 absolute error = 1e-63 relative error = 6.3387072049145717270486931619083e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8163137404456834295932197284127 y2[1] (numeric) = 1.8163137404456834295932197284127 absolute error = 1e-63 relative error = 5.5056567471356683227940153188627e-62 % Correct digits = 64 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=153.43 x[1] = 0.956 y1[1] (analytic) = 1.5767921554538532140351072644082 y1[1] (numeric) = 1.5767921554538532140351072644082 absolute error = 1e-63 relative error = 6.3419899480167489029105777524645e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8168909409504416998043253521668 y2[1] (numeric) = 1.8168909409504416998043253521668 absolute error = 1e-63 relative error = 5.5039076780078261774744521931390e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.957 y1[1] (analytic) = 1.5759749762529975617653546693133 y1[1] (numeric) = 1.5759749762529975617653546693133 absolute error = 1e-63 relative error = 6.3452784153818061843299659653252e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8174673245643270938165412336083 y2[1] (numeric) = 1.8174673245643270938165412336083 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2544.4MB, alloc=4.6MB, time=153.66 x[1] = 0.958 y1[1] (analytic) = 1.5751572210772136544111281281996 y1[1] (numeric) = 1.5751572210772136544111281281996 absolute error = 1e-63 relative error = 6.3485726162377815795226350772882e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8180428907109560457764395832387 y2[1] (numeric) = 1.8180428907109560457764395832387 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2548.2MB, alloc=4.6MB, time=153.89 x[1] = 0.959 y1[1] (analytic) = 1.5743388907442565996100726181766 y1[1] (numeric) = 1.5743388907442565996100726181766 absolute error = 1e-63 relative error = 6.3518725598353077128523747251211e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8186176388147624570189123947776 y2[1] (numeric) = 1.8186176388147624570189123947776 absolute error = 1e-63 relative error = 5.4986819585216628021669526354968e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2552.0MB, alloc=4.6MB, time=154.12 x[1] = 0.96 y1[1] (analytic) = 1.5735199860724566621250508003519 y1[1] (numeric) = 1.5735199860724566621250508003519 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8191915683009982716332221464304 y2[1] (numeric) = 1.8191915683009982716332221464304 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2555.8MB, alloc=4.6MB, time=154.35 x[1] = 0.961 y1[1] (analytic) = 1.5727005078807184455139464511542 y1[1] (numeric) = 1.5727005078807184455139464511542 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8197646785957340512110098159569 y2[1] (numeric) = 1.8197646785957340512110098159569 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.962 y1[1] (analytic) = 1.5718804569885200732251291464982 y1[1] (numeric) = 1.5718804569885200732251291464982 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.820336969125859548775685461578 y2[1] (numeric) = 1.820336969125859548775685461578 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2559.7MB, alloc=4.6MB, time=154.58 x[1] = 0.963 y1[1] (analytic) = 1.5710598342159123691193991032558 y1[1] (numeric) = 1.5710598342159123691193991032558 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8209084393190842818926274393802 y2[1] (numeric) = 1.8209084393190842818926274393802 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2563.5MB, alloc=4.6MB, time=154.81 x[1] = 0.964 y1[1] (analytic) = 1.5702386403835180374192316560228 y1[1] (numeric) = 1.5702386403835180374192316560228 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8214790886039381049596171470655 y2[1] (numeric) = 1.8214790886039381049596171470655 absolute error = 1e-63 relative error = 5.4900438125064839304537557373885e-62 % Correct digits = 64 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=155.04 x[1] = 0.965 y1[1] (analytic) = 1.5694168763125308420861414198663 y1[1] (numeric) = 1.5694168763125308420861414198663 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8220489164097717806769370036593 y2[1] (numeric) = 1.8220489164097717806769370036593 absolute error = 1e-63 relative error = 5.4883268555184269989583308251640e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.966 y1[1] (analytic) = 1.5685945428247147856269867616215 y1[1] (numeric) = 1.5685945428247147856269867616215 absolute error = 1e-63 relative error = 6.3751337436072329144299619281237e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8226179221667575506965601951263 y2[1] (numeric) = 1.8226179221667575506965601951263 absolute error = 1e-63 relative error = 5.4866134467238415424763501940128e-62 % Correct digits = 64 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=155.27 x[1] = 0.967 y1[1] (analytic) = 1.5677716407424032873300357733647 y1[1] (numeric) = 1.5677716407424032873300357733647 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8231861053058897054498615367527 y2[1] (numeric) = 1.8231861053058897054498615367527 absolute error = 1e-63 relative error = 5.4849035821947669236002390105807e-62 % Correct digits = 64 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=155.50 x[1] = 0.968 y1[1] (analytic) = 1.5669481708884983609316155119276 y1[1] (numeric) = 1.5669481708884983609316155119276 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8237534652589851531532796246302 y2[1] (numeric) = 1.8237534652589851531532796246302 absolute error = 1e-63 relative error = 5.4831972580131236753339510565120e-62 % Correct digits = 64 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=155.73 x[1] = 0.969 y1[1] (analytic) = 1.5661241340864697917141668377364 y1[1] (numeric) = 1.5661241340864697917141668377364 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8243200014586839879913612706282 y2[1] (numeric) = 1.8243200014586839879913612706282 absolute error = 1e-63 relative error = 5.4814944702706936206109401515319e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2582.6MB, alloc=4.6MB, time=155.96 x[1] = 0.97 y1[1] (analytic) = 1.5652995311603543130365277548499 y1[1] (numeric) = 1.5652995311603543130365277548499 absolute error = 1e-63 relative error = 6.3885536288297577414606582940403e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8248857133384500574766200378563 y2[1] (numeric) = 1.8248857133384500574766200378563 absolute error = 2e-63 relative error = 1.0959590430138200106013713556066e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.971 y1[1] (analytic) = 1.5644743629347547822972687218476 y1[1] (numeric) = 1.5644743629347547822972687218476 absolute error = 1e-63 relative error = 6.3919232151821732483792084734718e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8254506003325715289856415168064 y2[1] (numeric) = 1.8254506003325715289856415168064 absolute error = 1e-63 relative error = 5.4780994885197879784681729347722e-62 % Correct digits = 64 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=156.19 x[1] = 0.972 y1[1] (analytic) = 1.5636486302348393563319039701617 y1[1] (numeric) = 1.5636486302348393563319039701617 absolute error = 1e-63 relative error = 6.3952986666180446035252399955791e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8260146618761614554708688061158 y2[1] (numeric) = 1.8260146618761614554708688061158 absolute error = 1e-63 relative error = 5.4764072867440044178786040512476e-62 % Correct digits = 64 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=156.42 x[1] = 0.973 y1[1] (analytic) = 1.5628223338863406662448034325732 y1[1] (numeric) = 1.5628223338863406662448034325732 absolute error = 1e-63 relative error = 6.3986799927107195441988138441213e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8265778974051583403475024862134 y2[1] (numeric) = 1.8265778974051583403475024862134 absolute error = 1e-63 relative error = 5.4747186058727787702858600699384e-62 % Correct digits = 64 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=156.65 x[1] = 0.974 y1[1] (analytic) = 1.5619954747155549916766304498929 y1[1] (numeric) = 1.5619954747155549916766304498929 absolute error = 1e-63 relative error = 6.4020672030570613905653837075961e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8271403063563267015549501989961 y2[1] (numeric) = 1.8271403063563267015549501989961 absolute error = 1e-63 relative error = 5.4730334420469032366119185620195e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.975 y1[1] (analytic) = 1.5611680535493414345081309883184 y1[1] (numeric) = 1.5611680535493414345081309883184 absolute error = 1e-63 relative error = 6.4054603072775120681484237417711e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8277018881672576347922617721328 y2[1] (numeric) = 1.8277018881672576347922617721328 absolute error = 1e-63 relative error = 5.4713517914169133036706709945770e-62 % Correct digits = 64 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=156.88 x[1] = 0.976 y1[1] (analytic) = 1.5603400712151210920011006636115 y1[1] (numeric) = 1.5603400712151210920011006636115 absolute error = 1e-63 relative error = 6.4088593150161553376349191175049e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8282626422763693759269866526067 y2[1] (numeric) = 1.8282626422763693759269866526067 absolute error = 1e-63 relative error = 5.4696736501430682883174490247984e-62 % Correct digits = 64 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=157.11 x[1] = 0.977 y1[1] (analytic) = 1.5595115285408762293773564310583 y1[1] (numeric) = 1.5595115285408762293773564310583 absolute error = 1e-63 relative error = 6.4122642359407802327531594709142e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8288225681229078625768912406878 y2[1] (numeric) = 1.8288225681229078625768912406878 absolute error = 1e-63 relative error = 5.4679990143953319415555909701508e-62 % Correct digits = 64 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=157.35 x[1] = 0.978 y1[1] (analytic) = 1.5586824263551494518365403621718 y1[1] (numeric) = 1.5586824263551494518365403621718 absolute error = 1e-63 relative error = 6.4156750797429447069854502942896e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8293816651469472948639745426626 y2[1] (numeric) = 1.8293816651469472948639745426626 absolute error = 1e-63 relative error = 5.4663278803533531124258594041559e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2609.3MB, alloc=4.6MB, time=157.58 x[1] = 0.979 y1[1] (analytic) = 1.5578527654870428760135834902649 y1[1] (numeric) = 1.5578527654870428760135834902649 absolute error = 1e-63 relative error = 6.4190918561380394898815468752652e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8299399327893906953402213883531 y2[1] (numeric) = 1.8299399327893906953402213883531 absolute error = 2e-63 relative error = 1.0929320488412892943010338331932e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.98 y1[1] (analytic) = 1.5570225467662173008766582673599 y1[1] (numeric) = 1.5570225467662173008766582673599 absolute error = 1e-63 relative error = 6.4225145748653521537418196832683e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8304973704919704680845332877191 y2[1] (numeric) = 1.8304973704919704680845332877191 absolute error = 1e-63 relative error = 5.4629961021535732938417309594083e-62 % Correct digits = 64 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=157.81 x[1] = 0.981 y1[1] (analytic) = 1.5561917710228913780664487344139 y1[1] (numeric) = 1.5561917710228913780664487344139 absolute error = 1e-63 relative error = 6.4259432456881313914423791912681e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8310539776972489569702778296585 y2[1] (numeric) = 1.8310539776972489569702778296585 absolute error = 1e-63 relative error = 5.4613354504033223011543591643307e-62 % Correct digits = 64 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=158.04 x[1] = 0.982 y1[1] (analytic) = 1.5553604390878407816775680655199 y1[1] (numeric) = 1.5553604390878407816775680655199 absolute error = 1e-63 relative error = 6.4293778783936515061776220828103e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.831609753848619003102898355503 y2[1] (numeric) = 1.831609753848619003102898355503 absolute error = 0 relative error = 0 % Correct digits = 64 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=158.28 x[1] = 0.983 y1[1] (analytic) = 1.5545285517923973774829537045974 y1[1] (numeric) = 1.5545285517923973774829537045974 absolute error = 1e-63 relative error = 6.4328184827932771138989097051615e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8321646983903045014270264696466 y2[1] (numeric) = 1.8321646983903045014270264696466 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.984 y1[1] (analytic) = 1.5536961099684483916020708701086 y1[1] (numeric) = 1.5536961099684483916020708701086 absolute error = 1e-63 relative error = 6.4362650687225280592313535654286e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8327188107673609565025407802402 y2[1] (numeric) = 1.8327188107673609565025407802402 absolute error = 1e-63 relative error = 5.4563743991982006896056752085656e-62 % Correct digits = 64 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=158.51 x[1] = 0.985 y1[1] (analytic) = 1.5528631144484355786137557595258 y1[1] (numeric) = 1.5528631144484355786137557595258 absolute error = 2e-63 relative error = 1.2879435292082289091307923409031e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8332720904256760374490160939396 y2[1] (numeric) = 1.8332720904256760374490160939396 absolute error = 1e-63 relative error = 5.4547276709362073687994533616291e-62 % Correct digits = 64 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=158.74 x[1] = 0.986 y1[1] (analytic) = 1.5520295660653543891145303406393 y1[1] (numeric) = 1.5520295660653543891145303406393 absolute error = 2e-63 relative error = 1.2886352449266304961463388001813e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8338245368119701320580081203051 y2[1] (numeric) = 1.8338245368119701320580081203051 absolute error = 1e-63 relative error = 5.4530844141635251455203436329614e-62 % Correct digits = 64 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=158.97 x[1] = 0.987 y1[1] (analytic) = 1.5511954656527531367232211713211 y1[1] (numeric) = 1.5511954656527531367232211713211 absolute error = 1e-63 relative error = 6.4466408144069290371912839301412e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8343761493737969000726195736126 y2[1] (numeric) = 1.8343761493737969000726195736126 absolute error = 1e-63 relative error = 5.4514446251461084049467986442492e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.988 y1[1] (analytic) = 1.5503608140447321645327152430547 y1[1] (numeric) = 1.5503608140447321645327152430547 absolute error = 1e-63 relative error = 6.4501114252952684306360091145086e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8349269275595438256337943925575 y2[1] (numeric) = 1.8349269275595438256337943925575 absolute error = 1e-63 relative error = 5.4498083001594065193845180436764e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2636.0MB, alloc=4.6MB, time=159.20 TOP MAIN SOLVE Loop x[1] = 0.989 y1[1] (analytic) = 1.5495256120759430110096863964084 y1[1] (numeric) = 1.5495256120759430110096863964084 absolute error = 1e-63 relative error = 6.4535880672554479146979332194017e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8354768708184327688927876316028 y2[1] (numeric) = 1.8354768708184327688927876316028 absolute error = 0 relative error = 0 % Correct digits = 64 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=159.44 x[1] = 0.99 y1[1] (analytic) = 1.5486898605815875753431264086536 y1[1] (numeric) = 1.5486898605815875753431264086536 absolute error = 1e-63 relative error = 6.4570707502692939944294974668818e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8360259786005205167892594115471 y2[1] (numeric) = 1.8360259786005205167892594115471 absolute error = 0 relative error = 0 % Correct digits = 64 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=159.67 x[1] = 0.991 y1[1] (analytic) = 1.5478535603974172822425154049293 y1[1] (numeric) = 1.5478535603974172822425154049293 absolute error = 1e-63 relative error = 6.4605594843432488587397113226231e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8365742503566993329944421512648 y2[1] (numeric) = 1.8365742503566993329944421512648 absolute error = 0 relative error = 0 % Correct digits = 64 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=159.90 x[1] = 0.992 y1[1] (analytic) = 1.5470167123597322461864667947115 y1[1] (numeric) = 1.5470167123597322461864667947115 absolute error = 2e-63 relative error = 1.2928108559016874065367157698736e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8371216855386975070188311374975 y2[1] (numeric) = 1.8371216855386975070188311374975 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.993 y1[1] (analytic) = 1.5461793173053804351226824848735 y1[1] (numeric) = 1.5461793173053804351226824848735 absolute error = 1e-63 relative error = 6.4675551458207322504167998885499e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8376682835990799024838493250509 y2[1] (numeric) = 1.8376682835990799024838493250509 absolute error = 0 relative error = 0 % Correct digits = 64 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=160.12 x[1] = 0.994 y1[1] (analytic) = 1.5453413760717568336200546693127 y1[1] (numeric) = 1.5453413760717568336200546693127 absolute error = 1e-63 relative error = 6.4710620933608245496312037125245e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8382140439912485045569380957783 y2[1] (numeric) = 1.8382140439912485045569380957783 absolute error = 0 relative error = 0 % Correct digits = 64 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=160.36 x[1] = 0.995 y1[1] (analytic) = 1.5445028894968026054737510429714 y1[1] (numeric) = 1.5445028894968026054737510429714 absolute error = 2e-63 relative error = 1.2949150264468575176579614328097e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8387589661694429665495265413068 y2[1] (numeric) = 1.8387589661694429665495265413068 absolute error = 1e-63 relative error = 5.4384507072355957603703834156430e-62 % Correct digits = 64 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=160.59 x[1] = 0.996 y1[1] (analytic) = 1.5436638584190042557641208350967 y1[1] (numeric) = 1.5436638584190042557641208350967 absolute error = 1e-63 relative error = 6.4780942725716461844838396488220e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8393030495887411556773326715804 y2[1] (numeric) = 1.8393030495887411556773326715804 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 0.997 y1[1] (analytic) = 1.5428242836773927923702596027651 y1[1] (numeric) = 1.5428242836773927923702596027651 absolute error = 2e-63 relative error = 1.2963239049056888160475087506314e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.839846293705059697982450788966 y2[1] (numeric) = 1.839846293705059697982450788966 absolute error = 1e-63 relative error = 5.4352366467864680972855509336699e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2662.7MB, alloc=4.6MB, time=160.82 TOP MAIN SOLVE Loop x[1] = 0.998 y1[1] (analytic) = 1.5419841661115428869390712710343 y1[1] (numeric) = 1.5419841661115428869390712710343 absolute error = 2e-63 relative error = 1.2970301796570623860180085609265e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8403886979751545224166801058793 y2[1] (numeric) = 1.8403886979751545224166801058793 absolute error = 1e-63 relative error = 5.4336347593322382218894374630662e-62 % Correct digits = 64 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=161.05 x[1] = 0.999 y1[1] (analytic) = 1.5411435065615720353106664505939 y1[1] (numeric) = 1.5411435065615720353106664505939 absolute error = 2e-63 relative error = 1.2977376808096071030574130923837e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8409302618566214040855505226477 y2[1] (numeric) = 1.8409302618566214040855505226477 absolute error = 1e-63 relative error = 5.4320362955600312343682493975827e-62 % Correct digits = 64 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=161.28 x[1] = 1 y1[1] (analytic) = 1.540302305868139717400936607443 y1[1] (numeric) = 1.540302305868139717400936607443 absolute error = 2e-63 relative error = 1.2984464104095248368837664988544e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8414709848078965066525023216303 y2[1] (numeric) = 1.8414709848078965066525023216303 absolute error = 1e-63 relative error = 5.4304412518577949436983612725811e-62 % Correct digits = 64 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=161.51 x[1] = 1.001 y1[1] (analytic) = 1.5394605648724465565421442019535 y1[1] (numeric) = 1.5394605648724465565421442019535 absolute error = 2e-63 relative error = 1.2991563705080759042687884750727e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8420108662882569239026773734589 y2[1] (numeric) = 1.8420108662882569239026773734589 absolute error = 1e-63 relative error = 5.4288496246227336353161589039058e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.002 y1[1] (analytic) = 1.5386182844162334782823694566573 y1[1] (numeric) = 1.5386182844162334782823694566573 absolute error = 2e-63 relative error = 1.2998675631615928482485280509101e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.842549905757821220465780291656 y2[1] (numeric) = 1.842549905757821220465780291656 absolute error = 1e-63 relative error = 5.4272614102612901191889058769009e-62 % Correct digits = 64 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=161.74 x[1] = 1.003 y1[1] (analytic) = 1.5377754653417808686446549532403 y1[1] (numeric) = 1.5377754653417808686446549532403 absolute error = 2e-63 relative error = 1.3005799904314942631292838732433e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8430881026775499716974688128113 y2[1] (numeric) = 1.8430881026775499716974688128113 absolute error = 1e-63 relative error = 5.4256766051891278335182306799815e-62 % Correct digits = 64 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=161.97 x[1] = 1.004 y1[1] (analytic) = 1.5369321084919077318466897995304 y1[1] (numeric) = 1.5369321084919077318466897995304 absolute error = 2e-63 relative error = 1.3012936543842986654588970159552e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8436254565092463027187335209743 y2[1] (numeric) = 1.8436254565092463027187335209743 absolute error = 0 relative error = 0 % Correct digits = 64 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=162.20 x[1] = 1.005 y1[1] (analytic) = 1.5360882147099708474818756467225 y1[1] (numeric) = 1.5360882147099708474818756467225 absolute error = 3e-63 relative error = 1.9530128356374576167013628995357e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8441619667155564266127278769249 y2[1] (numeric) = 1.8441619667155564266127278769249 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.006 y1[1] (analytic) = 1.5352437848398639271626173757064 y1[1] (numeric) = 1.5352437848398639271626173757064 absolute error = 2e-63 relative error = 1.3027247006302736588164641073950e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8446976327599701817785103555399 y2[1] (numeric) = 1.8446976327599701817785103555399 absolute error = 1e-63 relative error = 5.4209426100028978945776764123145e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2689.4MB, alloc=4.6MB, time=162.43 TOP MAIN SOLVE Loop x[1] = 1.007 y1[1] (analytic) = 1.5343988197260167706266818091356 y1[1] (numeric) = 1.5343988197260167706266818091356 absolute error = 2e-63 relative error = 1.3034420870821063798262392667327e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8452324541068215684411613375549 y2[1] (numeric) = 1.8452324541068215684411613375549 absolute error = 0 relative error = 0 % Correct digits = 64 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=162.66 x[1] = 1.008 y1[1] (analytic) = 1.5335533202133944213074683428077 y1[1] (numeric) = 1.5335533202133944213074683428077 absolute error = 1e-63 relative error = 6.5208035926709720734602937682424e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8457664302212892843177382456532 y2[1] (numeric) = 1.8457664302212892843177382456532 absolute error = 0 relative error = 0 % Correct digits = 64 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=162.89 x[1] = 1.009 y1[1] (analytic) = 1.532707287147496321369035926017 y1[1] (numeric) = 1.532707287147496321369035926017 absolute error = 1e-63 relative error = 6.5244029853938278826263938508845e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8462995605693972594385332589671 y2[1] (numeric) = 1.8462995605693972594385332589671 absolute error = 0 relative error = 0 % Correct digits = 64 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=163.13 x[1] = 1.01 y1[1] (analytic) = 1.5318607213743554662067313557792 y1[1] (numeric) = 1.5318607213743554662067313557792 absolute error = 1e-63 relative error = 6.5280086240661590069820389086925e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.846831844618015190123098784782 y2[1] (numeric) = 1.846831844618015190123098784782 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.011 y1[1] (analytic) = 1.5310136237405375584142643842326 y1[1] (numeric) = 1.5310136237405375584142643842326 absolute error = 1e-63 relative error = 6.5316205192010167294392319118093e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8473632818348590721105067114598 y2[1] (numeric) = 1.8473632818348590721105067114598 absolute error = 0 relative error = 0 % Correct digits = 64 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=163.35 x[1] = 1.012 y1[1] (analytic) = 1.5301659950931401612180756720674 y1[1] (numeric) = 1.5301659950931401612180756720674 absolute error = 2e-63 relative error = 1.3070477362675030319990374083702e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8478938716884917328433083123683 y2[1] (numeric) = 1.8478938716884917328433083123683 absolute error = 0 relative error = 0 % Correct digits = 64 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=163.59 x[1] = 1.013 y1[1] (analytic) = 1.5293178362797918513798441535465 y1[1] (numeric) = 1.5293178362797918513798441535465 absolute error = 1e-63 relative error = 6.5388631210409026979036553001231e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8484236136483233629046625169003 y2[1] (numeric) = 1.8484236136483233629046625169003 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2712.3MB, alloc=4.6MB, time=163.82 x[1] = 1.014 y1[1] (analytic) = 1.5284691481486513715679809105391 y1[1] (numeric) = 1.5284691481486513715679809105391 absolute error = 1e-63 relative error = 6.5424938489026337323791013390313e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8489525071846120466081011114986 y2[1] (numeric) = 1.8489525071846120466081011114986 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.015 y1[1] (analytic) = 1.527619931548406782198957184002 y1[1] (numeric) = 1.527619931548406782198957184002 absolute error = 1e-63 relative error = 6.5461308755404405827247777013063e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8494805517684642917394002809662 y2[1] (numeric) = 1.8494805517684642917394002809662 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 memory used=2716.1MB, alloc=4.6MB, time=164.05 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.016 y1[1] (analytic) = 1.5267701873282746127493146815114 y1[1] (numeric) = 1.5267701873282746127493146815114 absolute error = 1e-63 relative error = 6.5497742115984056787795303594338e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.850007746871835558450028748234 y2[1] (numeric) = 1.850007746871835558450028748234 absolute error = 0 relative error = 0 % Correct digits = 64 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=164.28 x[1] = 1.017 y1[1] (analytic) = 1.5259199163379990125392068687629 y1[1] (numeric) = 1.5259199163379990125392068687629 absolute error = 2e-63 relative error = 1.3106847735494067965163949907517e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8505340919675307873016436191816 y2[1] (numeric) = 1.8505340919675307873016436191816 absolute error = 0 relative error = 0 % Correct digits = 64 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=164.51 x[1] = 1.018 y1[1] (analytic) = 1.5250691194278509009883204614282 y1[1] (numeric) = 1.5250691194278509009883204614282 absolute error = 1e-63 relative error = 6.5570798546833256521545065244550e-62 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8510595865292049264611058880601 y2[1] (numeric) = 1.8510595865292049264611058880601 absolute error = 1e-63 relative error = 5.4023112344807414970144634924221e-62 % Correct digits = 64 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=164.74 x[1] = 1.019 y1[1] (analytic) = 1.5242177974486271173450268613758 y1[1] (numeric) = 1.5242177974486271173450268613758 absolute error = 2e-63 relative error = 1.3121484366261697896626893825482e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8515842300313634580454884085451 y2[1] (numeric) = 1.8515842300313634580454884085451 absolute error = 1e-63 relative error = 5.4007804980228271048935046661625e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.02 y1[1] (analytic) = 1.5233659512516495698896138080338 y1[1] (numeric) = 1.5233659512516495698896138080338 absolute error = 2e-63 relative error = 1.3128821727679626770830986927370e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8521080219493629236165499854554 y2[1] (numeric) = 1.8521080219493629236165499854554 absolute error = 1e-63 relative error = 5.3992531113141533556897443897639e-62 % Correct digits = 64 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=164.97 x[1] = 1.021 y1[1] (analytic) = 1.5225135816887643846124480415924 y1[1] (numeric) = 1.5225135816887643846124480415924 absolute error = 2e-63 relative error = 1.3136171815174286253909020581315e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8526309617594114488241500927072 y2[1] (numeric) = 1.8526309617594114488241500927072 absolute error = 0 relative error = 0 % Correct digits = 64 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=165.20 x[1] = 1.022 y1[1] (analytic) = 1.5216606896123410533679202998119 y1[1] (numeric) = 1.5216606896123410533679202998119 absolute error = 3e-63 relative error = 1.9715301975529651880779797762707e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8531530489385692671980795741338 y2[1] (numeric) = 1.8531530489385692671980795741338 absolute error = 1e-63 relative error = 5.3962083734679666140915683670384e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2739.0MB, alloc=4.6MB, time=165.44 x[1] = 1.023 y1[1] (analytic) = 1.5208072758752715815050244944202 y1[1] (numeric) = 1.5208072758752715815050244944202 absolute error = 3e-63 relative error = 1.9726365382315831553655906183609e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8536742829647492430877835353817 y2[1] (numeric) = 1.8536742829647492430877835353817 absolute error = 1e-63 relative error = 5.3946910155143836246469713349977e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.024 y1[1] (analytic) = 1.5199533413309696349754234364508 y1[1] (numeric) = 1.5199533413309696349754234364508 memory used=2742.8MB, alloc=4.6MB, time=165.66 absolute error = 3e-63 relative error = 1.9737447975692501239838152792933e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.854194663316717393749453487206 y2[1] (numeric) = 1.854194663316717393749453487206 absolute error = 1e-63 relative error = 5.3931769936778677042998440309201e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.025 y1[1] (analytic) = 1.5190988868333696869198540023831 y1[1] (numeric) = 1.5190988868333696869198540023831 absolute error = 3e-63 relative error = 1.9748549788313225875008809610078e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8547141894740934105799666531149 y2[1] (numeric) = 1.8547141894740934105799666531149 absolute error = 1e-63 relative error = 5.3916663045725189806892285670543e-62 % Correct digits = 64 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=165.89 x[1] = 1.026 y1[1] (analytic) = 1.5182439132369261637337251546087 y1[1] (numeric) = 1.5182439132369261637337251546087 absolute error = 3e-63 relative error = 1.9759670852912826391274495508588e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8552328609173511794971512074687 y2[1] (numeric) = 1.8552328609173511794971512074687 absolute error = 1e-63 relative error = 5.3901589448212615931625400950364e-62 % Correct digits = 64 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=166.12 x[1] = 1.027 y1[1] (analytic) = 1.5173884213966125906127627505561 y1[1] (numeric) = 1.5173884213966125906127627505561 absolute error = 4e-63 relative error = 2.6361081603076805826007596245974e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8557506771278193004658570638093 y2[1] (numeric) = 1.8557506771278193004658570638093 absolute error = 1e-63 relative error = 5.3886549110558270855567840734550e-62 % Correct digits = 64 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=166.35 x[1] = 1.028 y1[1] (analytic) = 1.5165324121679207365795555947563 y1[1] (numeric) = 1.5165324121679207365795555947563 absolute error = 4e-63 relative error = 2.6375961159194089927670058525337e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8562676375876816061693126873962 y2[1] (numeric) = 1.8562676375876816061693126873962 absolute error = 1e-63 relative error = 5.3871541999167378508313523318388e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.029 y1[1] (analytic) = 1.5156758864068597589918577072318 y1[1] (numeric) = 1.5156758864068597589918577072318 absolute error = 4e-63 relative error = 2.6390866516208873966098692755789e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8567837417799776798252492606312 y2[1] (numeric) = 1.8567837417799776798252492606312 absolute error = 1e-63 relative error = 5.3856568080532906274083625602269e-62 % Correct digits = 64 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=166.58 x[1] = 1.03 y1[1] (analytic) = 1.5148188449699553475335022998374 y1[1] (numeric) = 1.5148188449699553475335022998374 absolute error = 4e-63 relative error = 2.6405797718203956602839909776576e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8572989891886033721462743852944 y2[1] (numeric) = 1.8572989891886033721462743852944 absolute error = 1e-63 relative error = 5.3841627321235400470770420112352e-62 % Correct digits = 64 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=166.82 x[1] = 1.031 y1[1] (analytic) = 1.5139612887142488676887834695646 y1[1] (numeric) = 1.5139612887142488676887834695646 absolute error = 4e-63 relative error = 2.6420754809371985602529540461895e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8578133792983113174439783612591 y2[1] (numeric) = 1.8578133792983113174439783612591 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2765.7MB, alloc=4.6MB, time=167.05 x[1] = 1.032 y1[1] (analytic) = 1.5131032184972965037011621343598 y1[1] (numeric) = 1.5131032184972965037011621343598 absolute error = 4e-63 relative error = 2.6435737834015762434511872494983e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8583269115947114488762569376219 y2[1] (numeric) = 1.8583269115947114488762569376219 absolute error = 1e-63 relative error = 5.3811845147410384569132892520439e-62 % Correct digits = 64 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=167.28 x[1] = 1.033 y1[1] (analytic) = 1.5122446351771684010171532526755 y1[1] (numeric) = 1.5122446351771684010171532526755 absolute error = 4e-63 relative error = 2.6450746836548547898970836200668e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.85883958556427151283733528897 y2[1] (numeric) = 1.85883958556427151283733528897 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.034 y1[1] (analytic) = 1.5113855396124478082162518827991 y1[1] (numeric) = 1.5113855396124478082162518827991 absolute error = 4e-63 relative error = 2.6465781861494368781437930033130e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8593514006943175824899788268026 y2[1] (numeric) = 1.8593514006943175824899788268026 absolute error = 1e-63 relative error = 5.3782195212082060571951633029248e-62 % Correct digits = 64 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=167.51 x[1] = 1.035 y1[1] (analytic) = 1.5105259326622302184277561519591 y1[1] (numeric) = 1.5105259326622302184277561519591 absolute error = 4e-63 relative error = 2.6480842953488325539558045028695e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8598623564730345704393773139402 y2[1] (numeric) = 1.8598623564730345704393773139402 absolute error = 0 relative error = 0 % Correct digits = 64 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=167.74 x[1] = 1.036 y1[1] (analytic) = 1.5096658151861225102353457183157 y1[1] (numeric) = 1.5096658151861225102353457183157 absolute error = 4e-63 relative error = 2.6495930157276901026010994824515e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8603724523894667405481896080782 y2[1] (numeric) = 1.8603724523894667405481896080782 absolute error = 0 relative error = 0 % Correct digits = 64 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=167.97 x[1] = 1.037 y1[1] (analytic) = 1.5088051880442420880702748211855 y1[1] (numeric) = 1.5088051880442420880702748211855 absolute error = 5e-63 relative error = 3.3138804397147837814379105155288e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8608816879335182188922372194854 y2[1] (numeric) = 1.8608816879335182188922372194854 absolute error = 1e-63 relative error = 5.3737967678669852010704164814660e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.038 y1[1] (analytic) = 1.5079440520972160220940395262352 y1[1] (numeric) = 1.5079440520972160220940395262352 absolute error = 5e-63 relative error = 3.3157728849728263989701817718296e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8613900625959535038563357271943 y2[1] (numeric) = 1.8613900625959535038563357271943 absolute error = 1e-63 relative error = 5.3723291001423331166903057387323e-62 % Correct digits = 64 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=168.20 x[1] = 1.039 y1[1] (analytic) = 1.5070824082061801875713792829054 y1[1] (numeric) = 1.5070824082061801875713792829054 absolute error = 5e-63 relative error = 3.3176686110690520803094036648450e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.861897575868397975369753957895 y2[1] (numeric) = 1.861897575868397975369753957895 absolute error = 1e-63 relative error = 5.3708647186652853083640882062882e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2788.6MB, alloc=4.6MB, time=168.42 x[1] = 1.04 y1[1] (analytic) = 1.5062202572327784037344734209922 y1[1] (numeric) = 1.5062202572327784037344734209922 absolute error = 6e-63 relative error = 3.9834811483834210689233481643372e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8624042272433384032807916921162 y2[1] (numeric) = 1.8624042272433384032807916921162 absolute error = 1e-63 relative error = 5.3694036201805817188446247790653e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2792.4MB, alloc=4.6MB, time=168.65 x[1] = 1.041 y1[1] (analytic) = 1.5053576000391615721391937221164 y1[1] (numeric) = 1.5053576000391615721391937221164 absolute error = 5e-63 relative error = 3.3214699283877306068613074273467e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8629100162141234548699675231574 y2[1] (numeric) = 1.8629100162141234548699675231574 absolute error = 1e-63 relative error = 5.3679458014415425739171076589785e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2796.2MB, alloc=4.6MB, time=168.89 x[1] = 1.042 y1[1] (analytic) = 1.5044944374879868145142747097584 y1[1] (numeric) = 1.5044944374879868145142747097584 absolute error = 5e-63 relative error = 3.3233755309513560941245018136618e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.863414942274964201501309355628 y2[1] (numeric) = 1.863414942274964201501309355628 absolute error = 1e-63 relative error = 5.3664912592100525380715508599605e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.043 y1[1] (analytic) = 1.5036307704424166101042638086145 y1[1] (numeric) = 1.5036307704424166101042638086145 absolute error = 5e-63 relative error = 3.3252844370355888179478061131177e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8639190049209346244112408923424 y2[1] (numeric) = 1.8639190049209346244112408923424 absolute error = 1e-63 relative error = 5.3650399902565449199217463998703e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2800.0MB, alloc=4.6MB, time=169.12 x[1] = 1.044 y1[1] (analytic) = 1.5027665997661179325071140302535 y1[1] (numeric) = 1.5027665997661179325071140302535 absolute error = 5e-63 relative error = 3.3271966523465264878832245564849e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8644222036479721196345583207306 y2[1] (numeric) = 1.8644222036479721196345583207306 absolute error = 1e-63 relative error = 5.3635919913599859272344914784295e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2803.8MB, alloc=4.6MB, time=169.35 x[1] = 1.045 y1[1] (analytic) = 1.5019019263232613860072823474097 y1[1] (numeric) = 1.5019019263232613860072823474097 absolute error = 5e-63 relative error = 3.3291121826045428359598006411184e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8649245379528780020669922728253 y2[1] (numeric) = 1.8649245379528780020669922728253 absolute error = 1e-63 relative error = 5.3621472593078589714333996176477e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2807.6MB, alloc=4.6MB, time=169.58 x[1] = 1.046 y1[1] (analytic) = 1.5010367509785203414051974237396 y1[1] (numeric) = 1.5010367509785203414051974237396 absolute error = 5e-63 relative error = 3.3310310335443275295057879122703e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8654260073333180086638509963099 y2[1] (numeric) = 1.8654260073333180086638509963099 absolute error = 1e-63 relative error = 5.3607057908961490214421145856208e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.047 y1[1] (analytic) = 1.500171074597070071343960869506 y1[1] (numeric) = 1.500171074597070071343960869506 absolute error = 4e-63 relative error = 2.6663625687319409751919754949327e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8659266112878228007742415380223 y2[1] (numeric) = 1.8659266112878228007742415380223 absolute error = 1e-63 relative error = 5.3592675829293270067322499441680e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2811.4MB, alloc=4.6MB, time=169.81 x[1] = 1.048 y1[1] (analytic) = 1.4993048980445868851341466964129 y1[1] (numeric) = 1.4993048980445868851341466964129 absolute error = 5e-63 relative error = 3.3348787204797807213951073938663e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8664263493157884656103666057382 y2[1] (numeric) = 1.8664263493157884656103666057382 absolute error = 2e-63 relative error = 1.0715665264440668538883758526948e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2815.3MB, alloc=4.6MB, time=170.04 x[1] = 1.049 y1[1] (analytic) = 1.4984382221872472630775641467215 y1[1] (numeric) = 1.4984382221872472630775641467215 absolute error = 5e-63 relative error = 3.3368075680167693396387195008852e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8669252209174770168513956389767 y2[1] (numeric) = 1.8669252209174770168513956389767 absolute error = 1e-63 relative error = 5.3564009355905670654309024406924e-62 % Correct digits = 64 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=170.27 x[1] = 1.05 y1[1] (analytic) = 1.4975710478917269902908495728121 y1[1] (numeric) = 1.4975710478917269902908495728121 absolute error = 5e-63 relative error = 3.3387397593182473185585991325710e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8674232255940168943814094850003 y2[1] (numeric) = 1.8674232255940168943814094850003 absolute error = 2e-63 relative error = 1.0709944979739722228280224304499e-61 % Correct digits = 64 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=170.50 x[1] = 1.051 y1[1] (analytic) = 1.4967033760252002900297535435273 y1[1] (numeric) = 1.4967033760252002900297535435273 absolute error = 5e-63 relative error = 3.3406753001910874379827353400670e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8679203628474034631609189421053 y2[1] (numeric) = 1.8679203628474034631609189421053 absolute error = 1e-63 relative error = 5.3535472918964761971212812692384e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.052 y1[1] (analytic) = 1.4958352074553389565149898529376 y1[1] (numeric) = 1.4958352074553389565149898529376 absolute error = 5e-63 relative error = 3.3426141964567207434055304222116e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8684166321804995112314582987262 y2[1] (numeric) = 1.8684166321804995112314582987262 absolute error = 1e-63 relative error = 5.3521253385170808051060870796766e-62 % Correct digits = 64 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=170.73 x[1] = 1.053 y1[1] (analytic) = 1.4949665430503114872605136056084 y1[1] (numeric) = 1.4949665430503114872605136056084 absolute error = 5e-63 relative error = 3.3445564539511774147944706063440e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8689120330970357468527558638018 y2[1] (numeric) = 1.8689120330970357468527558638018 absolute error = 1e-63 relative error = 5.3507066265867368334821813982896e-62 % Correct digits = 64 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=170.96 x[1] = 1.054 y1[1] (analytic) = 1.4940973836787822149050960500167 y1[1] (numeric) = 1.4940973836787822149050960500167 absolute error = 5e-63 relative error = 3.3465020785251277740536716422648e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8694065651016112947719843512738 y2[1] (numeric) = 1.8694065651016112947719843512738 absolute error = 1e-63 relative error = 5.3492911529688843260452071116989e-62 % Correct digits = 64 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=171.19 x[1] = 1.055 y1[1] (analytic) = 1.4932277302099104385480643284723 y1[1] (numeric) = 1.4932277302099104385480643284723 absolute error = 6e-63 relative error = 4.0181412912527081180075985876352e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8699002276996941916245948495095 y2[1] (numeric) = 1.8699002276996941916245948495095 absolute error = 1e-63 relative error = 5.3478789145353262668960514121292e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.056 y1[1] (analytic) = 1.4923575835133495545900748077295 y1[1] (numeric) = 1.4923575835133495545900748077295 absolute error = 5e-63 relative error = 3.3504034523876385730937494960987e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8703930203976218804662389748547 y2[1] (numeric) = 1.8703930203976218804662389748547 absolute error = 1e-63 relative error = 5.3464699081662134203531139237481e-62 % Correct digits = 64 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=171.42 x[1] = 1.057 y1[1] (analytic) = 1.491486944459246187079789149445 y1[1] (numeric) = 1.491486944459246187079789149445 absolute error = 5e-63 relative error = 3.3523592134511113853241856437613e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8708849427026017044352846774374 y2[1] (numeric) = 1.8708849427026017044352846774374 absolute error = 1e-63 relative error = 5.3450641307500292187498541301642e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2842.0MB, alloc=4.6MB, time=171.65 x[1] = 1.058 y1[1] (analytic) = 1.4906158139182393175673227737323 y1[1] (numeric) = 1.4906158139182393175673227737323 absolute error = 5e-63 relative error = 3.3543183651439856243405146506071e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8713759941227113995454320367466 y2[1] (numeric) = 1.8713759941227113995454320367466 absolute error = 1e-63 relative error = 5.3436615791835746979883669770803e-62 % Correct digits = 64 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=171.88 x[1] = 1.059 y1[1] (analytic) = 1.4897441927614594144653358622922 y1[1] (numeric) = 1.4897441927614594144653358622922 absolute error = 5e-63 relative error = 3.3562809133907523238112379964653e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8718661741668995866079362544109 y2[1] (numeric) = 1.8718661741668995866079362544109 absolute error = 1e-63 relative error = 5.3422622503719534807202182582335e-62 % Correct digits = 64 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=172.11 x[1] = 1.06 y1[1] (analytic) = 1.4888720818605275619186375399564 y1[1] (numeric) = 1.4888720818605275619186375399564 absolute error = 4e-63 relative error = 2.6865974913046333165480962993801e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8723554823449862622829459219974 y2[1] (numeric) = 1.8723554823449862622829459219974 absolute error = 1e-63 relative error = 5.3408661412285568070262524031185e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.061 y1[1] (analytic) = 1.4879994820875545881831743649656 y1[1] (numeric) = 1.4879994820875545881831743649656 absolute error = 4e-63 relative error = 2.6881729786547318985483005538367e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8728439181676632892594655125299 y2[1] (numeric) = 1.8728439181676632892594655125299 absolute error = 1e-63 relative error = 5.3394732486750486124675645791277e-62 % Correct digits = 64 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=172.34 x[1] = 1.062 y1[1] (analytic) = 1.4871263943151401935152747489234 y1[1] (numeric) = 1.4871263943151401935152747489234 absolute error = 4e-63 relative error = 2.6897511975383252374040173123373e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8733314811464948855634519158083 y2[1] (numeric) = 1.8733314811464948855634519158083 absolute error = 1e-63 relative error = 5.3380835696413506533803066061480e-62 % Correct digits = 64 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=172.57 x[1] = 1.063 y1[1] (analytic) = 1.486252819416372077572021417107 y1[1] (numeric) = 1.486252819416372077572021417107 absolute error = 4e-63 relative error = 2.6913321527428533948005768278262e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8738181707939181129935557094709 y2[1] (numeric) = 1.8738181707939181129935557094709 absolute error = 1e-63 relative error = 5.3366971010656276792874720658113e-62 % Correct digits = 64 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=172.81 x[1] = 1.064 y1[1] (analytic) = 1.4853787582648250663236245086903 y1[1] (numeric) = 1.4853787582648250663236245086903 absolute error = 4e-63 relative error = 2.6929158490678028005478448590222e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8743039866232433646840187301006 y2[1] (numeric) = 1.8743039866232433646840187301006 absolute error = 1e-63 relative error = 5.3353138398942726523012801779285e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.065 y1[1] (analytic) = 1.4845042117345602384786684044334 y1[1] (numeric) = 1.4845042117345602384786684044334 absolute error = 4e-63 relative error = 2.6945022913247403070540567919154e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8747889281486548517942403815169 y2[1] (numeric) = 1.8747889281486548517942403815169 absolute error = 1e-63 relative error = 5.3339337830818920133902505205593e-62 % Correct digits = 64 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=173.04 x[1] = 1.066 y1[1] (analytic) = 1.4836291807001240514231058565195 y1[1] (numeric) = 1.4836291807001240514231058565195 absolute error = 4e-63 relative error = 2.6960914843373473599234555490751e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.875272994885211089324525990729 y2[1] (numeric) = 1.875272994885211089324525990729 absolute error = 1e-63 relative error = 5.3325569275912909953855314950553e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2868.7MB, alloc=4.6MB, time=173.26 x[1] = 1.067 y1[1] (analytic) = 1.4827536660365474666738734814705 y1[1] (numeric) = 1.4827536660365474666738734814705 absolute error = 4e-63 relative error = 2.6976834329414542851232522885311e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8757561863488453810575313958413 y2[1] (numeric) = 1.8757561863488453810575313958413 absolute error = 2e-63 relative error = 1.0662366540786917965203029181187e-61 % Correct digits = 64 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=173.50 x[1] = 1.068 y1[1] (analytic) = 1.4818776686193450748480031624552 y1[1] (numeric) = 1.4818776686193450748480031624552 absolute error = 4e-63 relative error = 2.6992781419850746931673681221270e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8762385020563663036249188245075 y2[1] (numeric) = 1.8762385020563663036249188245075 absolute error = 2e-63 relative error = 1.0659625616935109833892467983017e-61 % Correct digits = 64 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=173.73 x[1] = 1.069 y1[1] (analytic) = 1.4810011893245142201481043918041 y1[1] (numeric) = 1.4810011893245142201481043918041 absolute error = 4e-63 relative error = 2.7008756163284400007663636580914e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.876719941525458189698739996318 y2[1] (numeric) = 1.876719941525458189698739996318 absolute error = 2e-63 relative error = 1.0656891077601785500795033804813e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.07 y1[1] (analytic) = 1.4801242290285341243650930681759 y1[1] (numeric) = 1.4801242290285341243650930681759 absolute error = 4e-63 relative error = 2.7024758608440340703949211437902e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8772005042746816103070632577768 y2[1] (numeric) = 1.8772005042746816103070632577768 absolute error = 2e-63 relative error = 1.0654162916777853887442628295683e-61 % Correct digits = 64 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=173.96 x[1] = 1.071 y1[1] (analytic) = 1.4792467886083650103990427455749 y1[1] (numeric) = 1.4792467886083650103990427455749 absolute error = 5e-63 relative error = 3.3800986005207849602877642527360e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8776801898234738562733624342827 y2[1] (numeric) = 1.8776801898234738562733624342827 absolute error = 2e-63 relative error = 1.0651441128470476022618206284969e-61 % Correct digits = 64 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=174.19 x[1] = 1.072 y1[1] (analytic) = 1.478368868941447225299034813293 y1[1] (numeric) = 1.478368868941447225299034813293 absolute error = 5e-63 relative error = 3.3821058499291435511455683371280e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8781589976921494187791859597637 y2[1] (numeric) = 1.8781589976921494187791859597637 absolute error = 2e-63 relative error = 1.0648725706703036224023432462716e-61 % Correct digits = 64 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=174.42 x[1] = 1.073 y1[1] (analytic) = 1.4774904709057003628228845668551 y1[1] (numeric) = 1.4774904709057003628228845668551 absolute error = 5e-63 relative error = 3.3841165804169311395162136304998e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8786369274019004690496257213381 y2[1] (numeric) = 1.8786369274019004690496257213381 absolute error = 2e-63 relative error = 1.0646016645515113371694813350124e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.074 y1[1] (analytic) = 1.4766115953795223855176206101673 y1[1] (numeric) = 1.4766115953795223855176206101673 absolute error = 5e-63 relative error = 3.3861307981364507447312639909798e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8791139784747973371611059335712 y2[1] (numeric) = 1.8791139784747973371611059335712 absolute error = 2e-63 relative error = 1.0643313938962452272924844418031e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2891.5MB, alloc=4.6MB, time=174.65 TOP MAIN SOLVE Loop x[1] = 1.075 y1[1] (analytic) = 1.4757322432417887463215955083164 y1[1] (numeric) = 1.4757322432417887463215955083164 absolute error = 6e-63 relative error = 4.0657782111066476057980013875914e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8795901504337889899710132345797 y2[1] (numeric) = 1.8795901504337889899710132345797 absolute error = 2e-63 relative error = 1.0640617581116935118445624291458e-61 % Correct digits = 64 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=174.88 x[1] = 1.076 y1[1] (analytic) = 1.4748524153718515096891060888357 y1[1] (numeric) = 1.4748524153718515096891060888357 absolute error = 5e-63 relative error = 3.3901697199576137057289676887950e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8800654428027035081686900743944 y2[1] (numeric) = 1.8800654428027035081686900743944 absolute error = 2e-63 relative error = 1.0637927566066553029633296844102e-61 % Correct digits = 64 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=175.11 x[1] = 1.077 y1[1] (analytic) = 1.4739721126495384722384022667445 y1[1] (numeric) = 1.4739721126495384722384022667445 absolute error = 5e-63 relative error = 3.3921944364417114617824212790556e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8805398551062485624473143446251 y2[1] (numeric) = 1.8805398551062485624473143446251 absolute error = 2e-63 relative error = 1.0635243887915377696492587652395e-61 % Correct digits = 64 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=175.34 x[1] = 1.078 y1[1] (analytic) = 1.4730913359551522829239637452787 y1[1] (numeric) = 1.4730913359551522829239637452787 absolute error = 6e-63 relative error = 4.0730671979070466580514997990479e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8810133868700118887961890775899 y2[1] (numeric) = 1.8810133868700118887961890775899 absolute error = 2e-63 relative error = 1.0632566540783533106181603758380e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.079 y1[1] (analytic) = 1.472210086169469562733924419963 y1[1] (numeric) = 1.472210086169469562733924419963 absolute error = 6e-63 relative error = 4.0755052939566166645005433470057e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8814860376204617629129669226588 y2[1] (numeric) = 1.8814860376204617629129669226588 absolute error = 2e-63 relative error = 1.0629895518807167361837964998118e-61 % Correct digits = 64 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=175.57 x[1] = 1.08 y1[1] (analytic) = 1.471328364173740023913524788526 y1[1] (numeric) = 1.471328364173740023913524788526 absolute error = 6e-63 relative error = 4.0779476193741734208094350498456e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8819578068849474737353349876248 y2[1] (numeric) = 1.8819578068849474737353349876248 absolute error = 2e-63 relative error = 1.0627230816138424591468231301520e-61 % Correct digits = 64 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=175.80 x[1] = 1.081 y1[1] (analytic) = 1.4704461708496855887154731431336 y1[1] (numeric) = 1.4704461708496855887154731431336 absolute error = 6e-63 relative error = 4.0803941816740886662672328201256e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8824286941916997960916865134587 y2[1] (numeric) = 1.8824286941916997960916865134587 absolute error = 2e-63 relative error = 1.0624572426945416946663483374087e-61 % Correct digits = 64 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=176.03 x[1] = 1.082 y1[1] (analytic) = 1.4695635070794995076780967945048 y1[1] (numeric) = 1.4695635070794995076780967945048 absolute error = 6e-63 relative error = 4.0828449883897503678941246482737e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8828986990698314624703067318156 y2[1] (numeric) = 1.8828986990698314624703067318156 absolute error = 2e-63 relative error = 1.0621920345412196690904804045003e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.083 y1[1] (analytic) = 1.4686803737458454774321650496862 y1[1] (numeric) = 1.4686803737458454774321650496862 absolute error = 6e-63 relative error = 4.0853000470736170421586560857849e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8833678210493376339066011361452 y2[1] (numeric) = 1.8833678210493376339066011361452 absolute error = 2e-63 relative error = 1.0619274565738728377223294322761e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 memory used=2918.3MB, alloc=4.6MB, time=176.26 TOP MAIN SOLVE Loop x[1] = 1.084 y1[1] (analytic) = 1.4677967717318567580372661365885 y1[1] (numeric) = 1.4677967717318567580372661365885 absolute error = 6e-63 relative error = 4.0877593652972722633664014350398e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8838360596610963699878952792174 y2[1] (numeric) = 1.8838360596610963699878952792174 absolute error = 2e-63 relative error = 1.0616635082140861114980141852955e-61 % Correct digits = 64 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=176.49 x[1] = 1.085 y1[1] (analytic) = 1.466912701921135289848620738834 y1[1] (numeric) = 1.466912701921135289848620738834 absolute error = 6e-63 relative error = 4.0902229506514793594429235224027e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8843034144368690979753360923033 y2[1] (numeric) = 1.8843034144368690979753360923033 absolute error = 2e-63 relative error = 1.0614001888850300925533140036286e-61 % Correct digits = 64 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=176.73 x[1] = 1.086 y1[1] (analytic) = 1.4660281651977508099152152740286 y1[1] (numeric) = 1.4660281651977508099152152740286 absolute error = 6e-63 relative error = 4.0926908107462362958370398954250e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8847698849093010810424256041483 y2[1] (numeric) = 1.8847698849093010810424256041483 absolute error = 2e-63 relative error = 1.0611374980114583186556933552013e-61 % Correct digits = 64 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=176.96 x[1] = 1.087 y1[1] (analytic) = 1.4651431624462399679101385172507 y1[1] (numeric) = 1.4651431624462399679101385172507 absolute error = 6e-63 relative error = 4.0951629532108307482736016787365e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8852354706119218856297188212437 y2[1] (numeric) = 1.8852354706119218856297188212437 absolute error = 2e-63 relative error = 1.0608754350197045164785140456255e-61 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.088 y1[1] (analytic) = 1.4642576945516054415940056393479 y1[1] (numeric) = 1.4642576945516054415940056393479 absolute error = 6e-63 relative error = 4.0976393856938953650881952292589e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8857001710791458479152184147362 y2[1] (numeric) = 1.8857001710791458479152184147362 absolute error = 2e-63 relative error = 1.0606139993376798636943372399218e-61 % Correct digits = 64 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=177.19 x[1] = 1.089 y1[1] (analytic) = 1.4633717623993150518123541965422 y1[1] (numeric) = 1.4633717623993150518123541965422 absolute error = 6e-63 relative error = 4.1001201158634632198793962329229e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8861639858462725393999997436219 y2[1] (numeric) = 1.8861639858462725393999997436219 absolute error = 1e-63 relative error = 5.3017659519743512993215214219628e-62 % Correct digits = 64 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=177.42 x[1] = 1.09 y1[1] (analytic) = 1.4624853668753008770278970738751 y1[1] (numeric) = 1.4624853668753008770278970738751 absolute error = 6e-63 relative error = 4.1026051514070234552174410657995e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.886626914449487231608600628636 y2[1] (numeric) = 1.886626914449487231608600628636 absolute error = 1e-63 relative error = 5.3004650381116680305033592422925e-62 % Correct digits = 64 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=177.65 x[1] = 1.091 y1[1] (analytic) = 1.4615985088659583673885178501657 y1[1] (numeric) = 1.4615985088659583673885178501657 absolute error = 6e-63 relative error = 4.1050945000315771181514311866358e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8870889564258613599037111764894 y2[1] (numeric) = 1.8870889564258613599037111764894 absolute error = 1e-63 relative error = 5.2991672522634854673983156842871e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.092 y1[1] (analytic) = 1.4607111892581454583318945164118 y1[1] (numeric) = 1.4607111892581454583318945164118 absolute error = 6e-63 relative error = 4.1075881694636931882604531198823e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8875501113133529864146998397988 y2[1] (numeric) = 1.8875501113133529864146998397988 absolute error = 1e-63 relative error = 5.2978725916007725009094142676893e-62 % Correct digits = 64 h = 0.001 memory used=2945.0MB, alloc=4.6MB, time=177.89 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.093 y1[1] (analytic) = 1.4598234089391816837276379429376 y1[1] (numeric) = 1.4598234089391816837276379429376 absolute error = 6e-63 relative error = 4.1100861674495647989972793135819e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8880103786508072620795127842255 y2[1] (numeric) = 1.8880103786508072620795127842255 absolute error = 1e-63 relative error = 5.2965810533023174866881461558417e-62 % Correct digits = 64 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=178.11 x[1] = 1.094 y1[1] (analytic) = 1.4589351687968472885578319530748 y1[1] (numeric) = 1.4589351687968472885578319530748 absolute error = 7e-63 relative error = 4.7980199187142432619227162173778e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8884697579779568877994845209589 y2[1] (numeric) = 1.8884697579779568877994845209589 absolute error = 1e-63 relative error = 5.2952926345547148177726088786732e-62 % Correct digits = 64 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=178.35 x[1] = 1.095 y1[1] (analytic) = 1.4580464697193823411368623227636 y1[1] (numeric) = 1.4580464697193823411368623227636 absolute error = 7e-63 relative error = 4.8009443768601077381070226143613e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.888928248835422574706598649776 y2[1] (numeric) = 1.888928248835422574706598649776 absolute error = 0 relative error = 0 % Correct digits = 64 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=178.58 x[1] = 1.096 y1[1] (analytic) = 1.4571573125954858448714224861697 y1[1] (numeric) = 1.4571573125954858448714224861697 absolute error = 7e-63 relative error = 4.8038739122350580393044898567754e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8893858507647135035427384454507 y2[1] (numeric) = 1.8893858507647135035427384454507 absolute error = 1e-63 relative error = 5.2927251444973940137546024451533e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.097 y1[1] (analytic) = 1.4562676983143148495615841872392 y1[1] (numeric) = 1.4562676983143148495615841872392 absolute error = 6e-63 relative error = 4.1201216005444794250661381430697e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8898425633082277831504679083043 y2[1] (numeric) = 1.8898425633082277831504679083043 absolute error = 0 relative error = 0 % Correct digits = 64 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=178.80 x[1] = 1.098 y1[1] (analytic) = 1.4553776277654835622438217760449 y1[1] (numeric) = 1.4553776277654835622438217760449 absolute error = 7e-63 relative error = 4.8097482512133029891390852369815e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8902983860092529080748847881513 y2[1] (numeric) = 1.8902983860092529080748847881513 absolute error = 0 relative error = 0 % Correct digits = 64 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=179.04 x[1] = 1.099 y1[1] (analytic) = 1.4544871018390624575768793068267 y1[1] (numeric) = 1.4544871018390624575768793068267 absolute error = 7e-63 relative error = 4.8126930731452735808645050247833e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8907533184119662152760879798278 y2[1] (numeric) = 1.8907533184119662152760879798278 absolute error = 0 relative error = 0 % Correct digits = 64 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=179.27 x[1] = 1.1 y1[1] (analytic) = 1.4535961214255773877713700517847 y1[1] (numeric) = 1.4535961214255773877713700517847 absolute error = 7e-63 relative error = 4.8156430089638160418603090054306e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8912073600614353399518025778717 y2[1] (numeric) = 1.8912073600614353399518025778717 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop memory used=2971.7MB, alloc=4.6MB, time=179.50 x[1] = 1.101 y1[1] (analytic) = 1.4527046874160086920639985009513 y1[1] (numeric) = 1.4527046874160086920639985009513 absolute error = 7e-63 relative error = 4.8185980678917031126741744569122e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8916605105036186704697067677687 y2[1] (numeric) = 1.8916605105036186704697067677687 absolute error = 1e-63 relative error = 5.2863608160523951489564787989367e-62 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 TOP MAIN SOLVE Loop x[1] = 1.102 y1[1] (analytic) = 1.4518128007017903057372953738456 y1[1] (numeric) = 1.4518128007017903057372953738456 absolute error = 7e-63 relative error = 4.8215582591752029980471674036394e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8921127692853658024090056214744 y2[1] (numeric) = 1.8921127692853658024090056214744 absolute error = 0 relative error = 0 % Correct digits = 64 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=179.73 x[1] = 1.103 y1[1] (analytic) = 1.4509204621748088686857566231016 y1[1] (numeric) = 1.4509204621748088686857566231016 absolute error = 8e-63 relative error = 5.5137412480961682999507640036285e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8925641359544179917107977556764 y2[1] (numeric) = 1.8925641359544179917107977556764 absolute error = 0 relative error = 0 % Correct digits = 64 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=179.96 x[1] = 1.104 y1[1] (analytic) = 1.4500276727274028335292778638564 y1[1] (numeric) = 1.4500276727274028335292778638564 absolute error = 8e-63 relative error = 5.5171360867565702411827069067113e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8930146100594086069367817024688 y2[1] (numeric) = 1.8930146100594086069367817024688 absolute error = 0 relative error = 0 % Correct digits = 64 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=180.19 x[1] = 1.105 y1[1] (analytic) = 1.4491344332523615732747761153897 y1[1] (numeric) = 1.4491344332523615732747761153897 absolute error = 8e-63 relative error = 5.5205368228296240077468244875827e-61 % Correct digits = 64 h = 0.001 y2[1] (analytic) = 1.8934641911498635806358497337686 y2[1] (numeric) = 1.8934641911498635806358497337686 absolute error = 0 relative error = 0 % Correct digits = 64 h = 0.001 NO POLE for equation 1 NO POLE for equation 2 Finished! Maximum Time Reached before Solution Completed! diff ( y1 , x , 1 ) = m1 * y2 + 1.0; diff ( y2 , x , 1 ) = y1 - 1.0; Iterations = 1006 Total Elapsed Time = 3 Minutes 0 Seconds Elapsed Time(since restart) = 3 Minutes 0 Seconds Expected Time Remaining = 26 Minutes 31 Seconds Optimized Time Remaining = 26 Minutes 29 Seconds Expected Total Time = 29 Minutes 29 Seconds Time to Timeout Unknown Percent Done = 10.17 % > quit memory used=2983.8MB, alloc=4.6MB, time=180.23