##############ECHO OF PROBLEM################# ##############temp/h5h3postode.ode################# diff ( y , x , 5 ) = m1 * diff ( y , x , 3 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=64; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=1.5; array_y_init[0 + 1] = exact_soln_y(x_start); array_y_init[1 + 1] = exact_soln_yp(x_start); array_y_init[2 + 1] = exact_soln_ypp(x_start); array_y_init[3 + 1] = exact_soln_yppp(x_start); array_y_init[4 + 1] = exact_soln_ypppp(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(cos(x)); } double exact_soln_yp (double x) { return(-sin(x)); } double exact_soln_ypp (double x) { return(-cos(x)); } double exact_soln_yppp (double x) { return(sin(x)); } double exact_soln_ypppp (double x) { return(cos(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 1400000 step_error = 2.112885636821292e-15 est_needed_step_err = 2.112885636821292e-15 opt_iter = 1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 1400000 step_error = 2.112885636821292e-15 est_needed_step_err = 2.112885636821292e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790358513321e-258 estimated_step_error = 2.674790358513321e-258 Double H and LOOP opt_iter = 2 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 700000 step_error = 2.988071523335984e-15 est_needed_step_err = 2.988071523335984e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663097e-247 estimated_step_error = 1.838101935663097e-247 Double H and LOOP opt_iter = 3 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 350000 step_error = 4.225771273642583e-15 est_needed_step_err = 4.225771273642583e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134028636664e-236 estimated_step_error = 1.263134028636664e-236 Double H and LOOP opt_iter = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 175000 step_error = 5.976143046671968e-15 est_needed_step_err = 5.976143046671968e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.680190902457664e-226 estimated_step_error = 8.680190902457664e-226 Double H and LOOP opt_iter = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 87500 step_error = 8.451542547285166e-15 est_needed_step_err = 8.451542547285166e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152473e-215 estimated_step_error = 5.964981703152473e-215 Double H and LOOP opt_iter = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 43750 step_error = 1.195228609334394e-14 est_needed_step_err = 1.195228609334394e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.09910412487806e-204 estimated_step_error = 4.09910412487806e-204 Double H and LOOP opt_iter = 7 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 21875 step_error = 1.690308509457033e-14 est_needed_step_err = 1.690308509457033e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816882783259631e-193 estimated_step_error = 2.816882783259631e-193 Double H and LOOP opt_iter = 8 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.9950041652780258 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.4 estimated_steps = 10937.5 step_error = 2.390457218668787e-14 est_needed_step_err = 2.390457218668787e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935746940941986e-182 estimated_step_error = 1.935746940941986e-182 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE ACCURACY START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.9950041652780258 y[1] (numeric) = 0.9950041652780258 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1101120000000003 y[1] (analytic) = 0.9939437965529361 y[1] (numeric) = 0.9939437965529364 absolute error = 3.33066907387547e-16 relative error = 3.350963188689797e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200960000000005 y[1] (analytic) = 0.992797138907122 y[1] (numeric) = 0.9927971389071221 absolute error = 1.110223024625157e-16 relative error = 1.118277824457973e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300800000000002 y[1] (analytic) = 0.9915515198103915 y[1] (numeric) = 0.9915515198103914 absolute error = 1.110223024625157e-16 relative error = 1.119682641238307e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400639999999994 y[1] (analytic) = 0.9902070634253438 y[1] (numeric) = 0.9902070634253437 absolute error = 1.110223024625157e-16 relative error = 1.121202893448014e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500479999999985 y[1] (analytic) = 0.9887639037666223 y[1] (numeric) = 0.9887639037666219 absolute error = 3.33066907387547e-16 relative error = 3.36851806704061e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600319999999977 y[1] (analytic) = 0.9872221846875562 y[1] (numeric) = 0.9872221846875561 absolute error = 1.110223024625157e-16 relative error = 1.124592864550069e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700159999999968 y[1] (analytic) = 0.9855820598658215 y[1] (numeric) = 0.9855820598658206 absolute error = 8.881784197001252e-16 relative error = 9.011714558004872e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.180127999999996 y[1] (analytic) = 0.9838207689431386 y[1] (numeric) = 0.9838207689431379 absolute error = 7.771561172376096e-16 relative error = 7.899366853908392e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1901119999999951 y[1] (analytic) = 0.9819830767619475 y[1] (numeric) = 0.9819830767619468 absolute error = 6.661338147750939e-16 relative error = 6.783556973014701e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000959999999943 y[1] (analytic) = 0.980047501069369 y[1] (numeric) = 0.9800475010693684 absolute error = 5.551115123125783e-16 relative error = 5.664128643834854e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100799999999935 y[1] (analytic) = 0.9780142348024807 y[1] (numeric) = 0.97801423480248 absolute error = 7.771561172376096e-16 relative error = 7.946265908845014e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200639999999926 y[1] (analytic) = 0.9758834806361015 y[1] (numeric) = 0.9758834806361013 absolute error = 2.220446049250313e-16 relative error = 2.275318819622789e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300479999999918 y[1] (analytic) = 0.9736554509625875 y[1] (numeric) = 0.9736554509625871 absolute error = 4.440892098500626e-16 relative error = 4.561050928344534e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400319999999909 y[1] (analytic) = 0.9713303678706623 y[1] (numeric) = 0.9713303678706618 absolute error = 4.440892098500626e-16 relative error = 4.571968760984887e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500159999999901 y[1] (analytic) = 0.9689084631232785 y[1] (numeric) = 0.9689084631232778 absolute error = 6.661338147750939e-16 relative error = 6.87509543087084e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2601279999999915 y[1] (analytic) = 0.9663570639072964 y[1] (numeric) = 0.9663570639072961 absolute error = 2.220446049250313e-16 relative error = 2.297749074521509e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2701119999999928 y[1] (analytic) = 0.9637410164002747 y[1] (numeric) = 0.9637410164002738 absolute error = 8.881784197001252e-16 relative error = 9.215944995447141e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800959999999941 y[1] (analytic) = 0.9610289037400077 y[1] (numeric) = 0.9610289037400073 absolute error = 4.440892098500626e-16 relative error = 4.620976623302523e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900799999999955 y[1] (analytic) = 0.9582209962683341 y[1] (numeric) = 0.9582209962683342 absolute error = 1.110223024625157e-16 relative error = 1.158629406941378e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000639999999968 y[1] (analytic) = 0.9553175738758645 y[1] (numeric) = 0.955317573875865 absolute error = 5.551115123125783e-16 relative error = 5.810753695866903e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100479999999981 y[1] (analytic) = 0.9523189259740821 y[1] (numeric) = 0.9523189259740829 absolute error = 7.771561172376096e-16 relative error = 8.160670716931234e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200319999999994 y[1] (analytic) = 0.9492253514664946 y[1] (numeric) = 0.9492253514664958 absolute error = 1.221245327087672e-15 relative error = 1.286570491612896e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300160000000008 y[1] (analytic) = 0.9460371587188392 y[1] (numeric) = 0.9460371587188406 absolute error = 1.443289932012704e-15 relative error = 1.52561653494379e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000021 y[1] (analytic) = 0.9427546655283455 y[1] (numeric) = 0.9427546655283474 absolute error = 1.887379141862766e-15 relative error = 2.001983348239414e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3501120000000034 y[1] (analytic) = 0.9393343024012774 y[1] (numeric) = 0.9393343024012799 absolute error = 2.55351295663786e-15 relative error = 2.718428306205958e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600960000000047 y[1] (analytic) = 0.9358630010389781 y[1] (numeric) = 0.9358630010389816 absolute error = 3.441691376337985e-15 relative error = 3.677558972325097e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700800000000061 y[1] (analytic) = 0.9322984133880584 y[1] (numeric) = 0.9322984133880623 absolute error = 3.885780586188048e-15 relative error = 4.16795795250446e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800640000000074 y[1] (analytic) = 0.9286408947645761 y[1] (numeric) = 0.9286408947645803 absolute error = 4.218847493575595e-15 relative error = 4.543034360601935e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900480000000087 y[1] (analytic) = 0.9248908097478956 y[1] (numeric) = 0.9248908097479011 absolute error = 5.440092820663267e-15 relative error = 5.881875745036447e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.40003200000001 y[1] (analytic) = 0.9210485321443462 y[1] (numeric) = 0.921048532144352 absolute error = 5.773159728050814e-15 relative error = 6.268029888294798e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100160000000114 y[1] (analytic) = 0.9171144449499616 y[1] (numeric) = 0.9171144449499679 absolute error = 6.217248937900877e-15 relative error = 6.779141874970788e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000127 y[1] (analytic) = 0.9130889403123031 y[1] (numeric) = 0.9130889403123101 absolute error = 6.994405055138486e-15 relative error = 7.66015745711058e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.430112000000014 y[1] (analytic) = 0.9089190544440716 y[1] (numeric) = 0.9089190544440798 absolute error = 8.215650382226158e-15 relative error = 9.03892413967617e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400960000000154 y[1] (analytic) = 0.9047107688622776 y[1] (numeric) = 0.9047107688622867 absolute error = 9.103828801926284e-15 relative error = 1.006269530026136e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500800000000167 y[1] (analytic) = 0.9004123022285472 y[1] (numeric) = 0.9004123022285574 absolute error = 1.021405182655144e-14 relative error = 1.134374974805582e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.460064000000018 y[1] (analytic) = 0.8960240830115753 y[1] (numeric) = 0.8960240830115859 absolute error = 1.054711873393899e-14 relative error = 1.177102148693333e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700480000000193 y[1] (analytic) = 0.8915465486265437 y[1] (numeric) = 0.8915465486265555 absolute error = 1.176836406102666e-14 relative error = 1.31999434905067e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800320000000207 y[1] (analytic) = 0.8869801453915185 y[1] (numeric) = 0.8869801453915309 absolute error = 1.243449787580175e-14 relative error = 1.40189134338662e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.490016000000022 y[1] (analytic) = 0.8823253284829621 y[1] (numeric) = 0.8823253284829751 absolute error = 1.298960938811433e-14 relative error = 1.472201802304394e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000233 y[1] (analytic) = 0.8775825618903615 y[1] (numeric) = 0.8775825618903756 absolute error = 1.409983241273949e-14 relative error = 1.60666734106107e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5101120000000247 y[1] (analytic) = 0.8726898263203491 y[1] (numeric) = 0.8726898263203637 absolute error = 1.465494392505207e-14 relative error = 1.679284378373456e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.520096000000026 y[1] (analytic) = 0.8677714751855665 y[1] (numeric) = 0.8677714751855814 absolute error = 1.48769885299771e-14 relative error = 1.714390130972646e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300800000000273 y[1] (analytic) = 0.8627666250865114 y[1] (numeric) = 0.8627666250865268 absolute error = 1.543210004228968e-14 relative error = 1.788676056024104e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400640000000286 y[1] (analytic) = 0.8576757749037787 y[1] (numeric) = 0.8576757749037951 absolute error = 1.643130076445232e-14 relative error = 1.915793968448709e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.55004800000003 y[1] (analytic) = 0.8524994320904028 y[1] (numeric) = 0.8524994320904199 absolute error = 1.709743457922741e-14 relative error = 2.005565509563216e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600320000000313 y[1] (analytic) = 0.8472381126212744 y[1] (numeric) = 0.847238112621292 absolute error = 1.765254609153999e-14 relative error = 2.083540132174258e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700160000000326 y[1] (analytic) = 0.8418923409417084 y[1] (numeric) = 0.841892340941727 absolute error = 1.865174681370263e-14 relative error = 2.215455101164064e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000339 y[1] (analytic) = 0.8364626499151684 y[1] (numeric) = 0.8364626499151875 absolute error = 1.909583602355269e-14 relative error = 2.282927519296807e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5901120000000353 y[1] (analytic) = 0.8308783614540479 y[1] (numeric) = 0.8308783614540682 absolute error = 2.031708135064036e-14 relative error = 2.44525339606693e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000960000000366 y[1] (analytic) = 0.8252814054291484 y[1] (numeric) = 0.8252814054291699 absolute error = 2.153832667772804e-14 relative error = 2.609816062259158e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100800000000379 y[1] (analytic) = 0.819602185825825 y[1] (numeric) = 0.8196021858258475 absolute error = 2.253752739989068e-14 relative error = 2.74981299338313e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200640000000393 y[1] (analytic) = 0.8138412687454391 y[1] (numeric) = 0.8138412687454627 absolute error = 2.364775042451583e-14 relative error = 2.905695659912842e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300480000000406 y[1] (analytic) = 0.8079992284329099 y[1] (numeric) = 0.807999228432935 absolute error = 2.509104035652854e-14 relative error = 3.10532974210778e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400320000000419 y[1] (analytic) = 0.8020766472194742 y[1] (numeric) = 0.8020766472195004 absolute error = 2.620126338115369e-14 relative error = 3.266678249763851e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500160000000432 y[1] (analytic) = 0.7960741154646396 y[1] (numeric) = 0.7960741154646668 absolute error = 2.720046410331634e-14 relative error = 3.416825591350927e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000446 y[1] (analytic) = 0.7899922314973378 y[1] (numeric) = 0.789992231497366 absolute error = 2.819966482547898e-14 relative error = 3.569612927968901e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6701120000000459 y[1] (analytic) = 0.7837521105342886 y[1] (numeric) = 0.7837521105343183 absolute error = 2.964295475749168e-14 relative error = 3.782184999448856e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800960000000472 y[1] (analytic) = 0.7775123510376301 y[1] (numeric) = 0.7775123510376615 absolute error = 3.141931159689193e-14 relative error = 4.0410048219763e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900800000000485 y[1] (analytic) = 0.7711950895545651 y[1] (numeric) = 0.7711950895545976 absolute error = 3.252953462151709e-14 relative error = 4.218068172646929e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000640000000499 y[1] (analytic) = 0.7648009557861044 y[1] (numeric) = 0.7648009557861384 absolute error = 3.397282455352979e-14 relative error = 4.442047868338587e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100480000000512 y[1] (analytic) = 0.7583305870958449 y[1] (numeric) = 0.7583305870958804 absolute error = 3.552713678800501e-14 relative error = 4.684914124862375e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200320000000525 y[1] (analytic) = 0.7517846284464363 y[1] (numeric) = 0.7517846284464731 absolute error = 3.674838211509268e-14 relative error = 4.888152899725184e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300160000000538 y[1] (analytic) = 0.7451637323352925 y[1] (numeric) = 0.7451637323353304 absolute error = 3.785860513971784e-14 relative error = 5.080575381879032e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000552 y[1] (analytic) = 0.7384685587295508 y[1] (numeric) = 0.7384685587295899 absolute error = 3.919087276926803e-14 relative error = 5.307046902130994e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7501120000000565 y[1] (analytic) = 0.7316125207436668 y[1] (numeric) = 0.731612520743708 absolute error = 4.118927421359331e-14 relative error = 5.629930194705442e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600960000000578 y[1] (analytic) = 0.7247698709421919 y[1] (numeric) = 0.7247698709422343 absolute error = 4.241051954068098e-14 relative error = 5.85158423949768e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700800000000592 y[1] (analytic) = 0.7178549764945572 y[1] (numeric) = 0.7178549764946016 absolute error = 4.440892098500626e-14 relative error = 6.186336020384609e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800640000000605 y[1] (analytic) = 0.7108685266734858 y[1] (numeric) = 0.7108685266735312 absolute error = 4.54081217071689e-14 relative error = 6.387696177752661e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900480000000618 y[1] (analytic) = 0.7038112178842995 y[1] (numeric) = 0.7038112178843465 absolute error = 4.707345624410664e-14 relative error = 6.688364016932323e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000320000000631 y[1] (analytic) = 0.6966837535955014 y[1] (numeric) = 0.6966837535955501 absolute error = 4.873879078104437e-14 relative error = 6.995827092207808e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100160000000645 y[1] (analytic) = 0.6894868442686551 y[1] (numeric) = 0.6894868442687054 absolute error = 5.029310301551959e-14 relative error = 7.294280294624902e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000658 y[1] (analytic) = 0.6822212072875654 y[1] (numeric) = 0.6822212072876174 absolute error = 5.195843755245733e-14 relative error = 7.616068952039502e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8301120000000671 y[1] (analytic) = 0.6747931075250053 y[1] (numeric) = 0.6747931075250593 absolute error = 5.395683899678261e-14 relative error = 7.99605662759132e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400960000000685 y[1] (analytic) = 0.667391337026181 y[1] (numeric) = 0.6673913370262363 absolute error = 5.52891066263328e-14 relative error = 8.284360847819015e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500800000000698 y[1] (analytic) = 0.6599230413406366 y[1] (numeric) = 0.6599230413406934 absolute error = 5.67323965583455e-14 relative error = 8.596820084216695e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600640000000711 y[1] (analytic) = 0.6523889649038138 y[1] (numeric) = 0.6523889649038719 absolute error = 5.806466418789569e-14 relative error = 8.90031366432701e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700480000000724 y[1] (analytic) = 0.6447898587081425 y[1] (numeric) = 0.6447898587082023 absolute error = 5.972999872483342e-14 relative error = 9.263482965520645e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800320000000738 y[1] (analytic) = 0.6371264802281814 y[1] (numeric) = 0.6371264802282428 absolute error = 6.139533326177116e-14 relative error = 9.636286540748226e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900160000000751 y[1] (analytic) = 0.6293995933451139 y[1] (numeric) = 0.6293995933451774 absolute error = 6.350475700855895e-14 relative error = 1.008973594518004e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000764 y[1] (analytic) = 0.6216099682706046 y[1] (numeric) = 0.6216099682706696 absolute error = 6.505906924303417e-14 relative error = 1.046622038961771e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9101120000000777 y[1] (analytic) = 0.6136573212206764 y[1] (numeric) = 0.6136573212207432 absolute error = 6.683542608243442e-14 relative error = 1.089132709269834e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200960000000791 y[1] (analytic) = 0.6057437760963744 y[1] (numeric) = 0.6057437760964426 absolute error = 6.816769371198461e-14 relative error = 1.125355247581431e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300800000000804 y[1] (analytic) = 0.5977698507789627 y[1] (numeric) = 0.5977698507790321 absolute error = 6.938893903907228e-14 relative error = 1.160796901159376e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400640000000817 y[1] (analytic) = 0.5897363401047557 y[1] (numeric) = 0.5897363401048273 absolute error = 7.16093850883226e-14 relative error = 1.214261021723751e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.950048000000083 y[1] (analytic) = 0.5816440448495022 y[1] (numeric) = 0.5816440448495752 absolute error = 7.30526750203353e-14 relative error = 1.255968760743306e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600320000000844 y[1] (analytic) = 0.5734937716485642 y[1] (numeric) = 0.5734937716486386 absolute error = 7.438494264988549e-14 relative error = 1.297048831691034e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700160000000857 y[1] (analytic) = 0.5652863329165124 y[1] (numeric) = 0.5652863329165889 absolute error = 7.649436639667329e-14 relative error = 1.353196812702188e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.980000000000087 y[1] (analytic) = 0.557022546766145 y[1] (numeric) = 0.557022546766224 absolute error = 7.893685705084863e-14 relative error = 1.417121398570401e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9901120000000884 y[1] (analytic) = 0.5485962222307234 y[1] (numeric) = 0.5485962222308047 absolute error = 8.137934770502397e-14 relative error = 1.483410647162609e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.00009600000009 y[1] (analytic) = 0.5402215221639338 y[1] (numeric) = 0.5402215221640169 absolute error = 8.304468224196171e-14 relative error = 1.537233872306947e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010080000000082 y[1] (analytic) = 0.5317929731248343 y[1] (numeric) = 0.5317929731249115 absolute error = 7.716050021144838e-14 relative error = 1.450949976981654e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020064000000075 y[1] (analytic) = 0.5233114152663647 y[1] (numeric) = 0.5233114152664364 absolute error = 7.172040739078511e-14 relative error = 1.370511043682843e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030048000000068 y[1] (analytic) = 0.5147776940253609 y[1] (numeric) = 0.5147776940254269 absolute error = 6.605826996519681e-14 relative error = 1.283238779222287e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.04003200000006 y[1] (analytic) = 0.5061926600382746 y[1] (numeric) = 0.5061926600383349 absolute error = 6.0285110237146e-14 relative error = 1.190951884458137e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050016000000053 y[1] (analytic) = 0.4975571690563831 y[1] (numeric) = 0.4975571690564377 absolute error = 5.46229728115577e-14 relative error = 1.097823048457932e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000046 y[1] (analytic) = 0.4888720818604878 y[1] (numeric) = 0.4888720818605365 absolute error = 4.868327962981311e-14 relative error = 9.958285906722351e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070112000000038 y[1] (analytic) = 0.4800259795608882 y[1] (numeric) = 0.4800259795609309 absolute error = 4.274358644806853e-14 relative error = 8.90443189911699e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080096000000031 y[1] (analytic) = 0.4712436940525008 y[1] (numeric) = 0.4712436940525376 absolute error = 3.674838211509268e-14 relative error = 7.79816952012064e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090080000000023 y[1] (analytic) = 0.4624144352422466 y[1] (numeric) = 0.4624144352422772 absolute error = 3.058664432842306e-14 relative error = 6.614552227894775e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100064000000016 y[1] (analytic) = 0.4535390832255932 y[1] (numeric) = 0.4535390832256175 absolute error = 2.436939539052219e-14 relative error = 5.373163260199275e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110048000000009 y[1] (analytic) = 0.4446185226925528 y[1] (numeric) = 0.4446185226925709 absolute error = 1.809663530139005e-14 relative error = 4.070148762988809e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120032000000001 y[1] (analytic) = 0.4356536428394967 y[1] (numeric) = 0.4356536428395084 absolute error = 1.17128529097954e-14 relative error = 2.688569945944569e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130015999999994 y[1] (analytic) = 0.4266453372805207 y[1] (numeric) = 0.4266453372805264 absolute error = 5.717648576819556e-15 relative error = 1.340140879838137e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140127999999987 y[1] (analytic) = 0.4174781954502508 y[1] (numeric) = 0.4174781954502503 absolute error = 4.996003610813204e-16 relative error = 1.196710071390677e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150111999999979 y[1] (analytic) = 0.4083852087610474 y[1] (numeric) = 0.4083852087610406 absolute error = 6.883382752675971e-15 relative error = 1.685512257791772e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160095999999972 y[1] (analytic) = 0.3992515144678354 y[1] (numeric) = 0.3992515144678219 absolute error = 1.343369859796439e-14 relative error = 3.36472076151552e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170079999999965 y[1] (analytic) = 0.390078023012037 y[1] (numeric) = 0.3900780230120169 absolute error = 2.009503674571533e-14 relative error = 5.151542911992057e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180063999999957 y[1] (analytic) = 0.3808656488020334 y[1] (numeric) = 0.3808656488020068 absolute error = 2.664535259100376e-14 relative error = 6.995997847223416e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19004799999995 y[1] (analytic) = 0.3716153101220163 y[1] (numeric) = 0.3716153101219831 absolute error = 3.325117958752344e-14 relative error = 8.947742109065887e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200031999999943 y[1] (analytic) = 0.362327929040454 y[1] (numeric) = 0.3623279290404141 absolute error = 3.991251773527438e-14 relative error = 1.101557857849212e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210015999999935 y[1] (analytic) = 0.3530044313181801 y[1] (numeric) = 0.3530044313181335 absolute error = 4.657385588302532e-14 relative error = 1.319356125618889e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220127999999928 y[1] (analytic) = 0.3435255387836881 y[1] (numeric) = 0.3435255387836351 absolute error = 5.306866057708248e-14 relative error = 1.544824316846465e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230111999999921 y[1] (analytic) = 0.3341321662826428 y[1] (numeric) = 0.3341321662825831 absolute error = 5.967448757360216e-14 relative error = 1.785954589092852e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240095999999913 y[1] (analytic) = 0.3247054876783893 y[1] (numeric) = 0.3247054876783231 absolute error = 6.622480341889059e-14 relative error = 2.039534468369817e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250079999999906 y[1] (analytic) = 0.3152464426168589 y[1] (numeric) = 0.3152464426167862 absolute error = 7.26640969617165e-14 relative error = 2.304993400037515e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260063999999899 y[1] (analytic) = 0.3057559739702527 y[1] (numeric) = 0.3057559739701733 absolute error = 7.938094626069869e-14 relative error = 2.596218979139938e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270047999999891 y[1] (analytic) = 0.2962350277430565 y[1] (numeric) = 0.2962350277429703 absolute error = 8.626432901337466e-14 relative error = 2.912023256351616e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280031999999884 y[1] (analytic) = 0.2866845529777445 y[1] (numeric) = 0.2866845529776512 absolute error = 9.325873406851315e-14 relative error = 3.253008684976232e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290015999999877 y[1] (analytic) = 0.2771055016601781 y[1] (numeric) = 0.2771055016600779 absolute error = 1.001976279724204e-13 relative error = 3.615865703572187e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300127999999869 y[1] (analytic) = 0.2673754909859665 y[1] (numeric) = 0.2673754909858594 absolute error = 1.070810107250963e-13 relative error = 4.004892532603769e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310111999999862 y[1] (analytic) = 0.2577418182012134 y[1] (numeric) = 0.2577418182010995 absolute error = 1.138533711753098e-13 relative error = 4.417341817866241e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320095999999854 y[1] (analytic) = 0.2480824538594529 y[1] (numeric) = 0.2480824538593321 absolute error = 1.20792265079217e-13 relative error = 4.869037015719375e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330079999999847 y[1] (analytic) = 0.2383983608005975 y[1] (numeric) = 0.23839836080047 absolute error = 1.27453603226968e-13 relative error = 5.346244948956401e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.34006399999984 y[1] (analytic) = 0.2286905043295037 y[1] (numeric) = 0.2286905043293694 absolute error = 1.342537192527971e-13 relative error = 5.870541920680736e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350047999999832 y[1] (analytic) = 0.2189598521197516 y[1] (numeric) = 0.2189598521196107 absolute error = 1.409705685517793e-13 relative error = 6.438192535619765e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360031999999825 y[1] (analytic) = 0.2092073741171875 y[1] (numeric) = 0.2092073741170398 absolute error = 1.477706845776083e-13 relative error = 7.06335927216574e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370015999999818 y[1] (analytic) = 0.1994340424432402 y[1] (numeric) = 0.1994340424430857 absolute error = 1.545152894522062e-13 relative error = 7.747688787694402e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.38012799999981 y[1] (analytic) = 0.1895151524929384 y[1] (numeric) = 0.1895151524927769 absolute error = 1.614541833561134e-13 relative error = 8.519328467001044e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390111999999803 y[1] (analytic) = 0.1797028020543777 y[1] (numeric) = 0.1797028020542095 absolute error = 1.681710326550956e-13 relative error = 9.358286611702771e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400095999999796 y[1] (analytic) = 0.1698725389433001 y[1] (numeric) = 0.1698725389431252 absolute error = 1.749156375296934e-13 relative error = 1.029687544660038e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410079999999788 y[1] (analytic) = 0.1600253430347094 y[1] (numeric) = 0.1600253430345277 absolute error = 1.816602424042912e-13 relative error = 1.135196706717193e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420063999999781 y[1] (analytic) = 0.1501621958914612 y[1] (numeric) = 0.1501621958912728 absolute error = 1.883770917032734e-13 relative error = 1.254490789675415e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430047999999774 y[1] (analytic) = 0.1402840806664208 y[1] (numeric) = 0.1402840806662258 absolute error = 1.949829186997931e-13 relative error = 1.389914791282981e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440031999999766 y[1] (analytic) = 0.1303919820044634 y[1] (numeric) = 0.1303919820042618 absolute error = 2.016442568475441e-13 relative error = 1.546446750388698e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450015999999759 y[1] (analytic) = 0.1204868859443255 y[1] (numeric) = 0.1204868859441173 absolute error = 2.082223282684481e-13 relative error = 1.728174204491129e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460127999999752 y[1] (analytic) = 0.1104425637643595 y[1] (numeric) = 0.1104425637641446 absolute error = 2.14883666416199e-13 relative error = 1.945659889557394e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470111999999744 y[1] (analytic) = 0.1005143012291194 y[1] (numeric) = 0.1005143012288979 absolute error = 2.214617378371031e-13 relative error = 2.203285852152398e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480095999999737 y[1] (analytic) = 0.09057601948582801 y[1] (numeric) = 0.09057601948560004 absolute error = 2.279704203189681e-13 relative error = 2.516895990937618e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.49007999999973 y[1] (analytic) = 0.08062870917672468 y[1] (numeric) = 0.0806287091764903 absolute error = 2.343819582861784e-13 relative error = 2.906929314376746e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 5 ) = m1 * diff ( y , x , 3 ) ; Iterations = 10938 Total Elapsed Time = 2.0 Seconds Elapsed Time(since restart) = 2.0 Seconds Time to Timeout = 9 Minutes 58.0 Seconds Percent Done = 100 %