##############ECHO OF PROBLEM################# ##############temp/sinpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(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(2.0 - 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 = 0.9 estimated_steps = 900000.0000000001 step_error = 2.635231383473649e-15 est_needed_step_err = 2.635231383473649e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 900000.0000000001 step_error = 2.648396563919644e-15 est_needed_step_err = 2.648396563919644e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790358513323e-258 estimated_step_error = 2.674790358513323e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 450000.0000000001 step_error = 3.745398339237463e-15 est_needed_step_err = 3.745398339237463e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663098e-247 estimated_step_error = 1.838101935663098e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 225000 step_error = 5.296793127839287e-15 est_needed_step_err = 5.296793127839287e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134028636665e-236 estimated_step_error = 1.263134028636665e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 112500 step_error = 7.490796678474927e-15 est_needed_step_err = 7.490796678474927e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.68019090245767e-226 estimated_step_error = 8.68019090245767e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 56250.00000000001 step_error = 1.059358625567857e-14 est_needed_step_err = 1.059358625567857e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152477e-215 estimated_step_error = 5.964981703152477e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 28125 step_error = 1.498159335694985e-14 est_needed_step_err = 1.498159335694985e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104124878063e-204 estimated_step_error = 4.099104124878063e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 14062.5 step_error = 2.118717251135715e-14 est_needed_step_err = 2.118717251135715e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816882783259633e-193 estimated_step_error = 2.816882783259633e-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 = 1.004995834721974 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.004995834721974 desired_abs_gbl_error = 1.004995834721974e-10 range = 0.9 estimated_steps = 7031.250000000001 step_error = 2.996318671389971e-14 est_needed_step_err = 2.996318671389971e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935746940941988e-182 estimated_step_error = 1.935746940941988e-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) = 1.004995834721974 y[1] (numeric) = 1.004995834721974 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) = 1.006056203447064 y[1] (numeric) = 1.006056203447065 absolute error = 1.110223024625157e-15 relative error = 1.103539763306647e-13 % Desired digits = 10 Estimated correct digits = 12 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] = 0.1200960000000005 y[1] (analytic) = 1.007202861092878 y[1] (numeric) = 1.007202861092879 absolute error = 8.881784197001252e-16 relative error = 8.818267441539991e-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] = 0.1300800000000002 y[1] (analytic) = 1.008448480189609 y[1] (numeric) = 1.008448480189609 absolute error = 8.881784197001252e-16 relative error = 8.807375261581334e-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) = 1.009792936574656 y[1] (numeric) = 1.009792936574657 absolute error = 8.881784197001252e-16 relative error = 8.795648964558393e-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) = 1.011236096233378 y[1] (numeric) = 1.011236096233379 absolute error = 1.332267629550188e-15 relative error = 1.317464471959198e-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] = 0.1600319999999977 y[1] (analytic) = 1.012777815312444 y[1] (numeric) = 1.012777815312445 absolute error = 8.881784197001252e-16 relative error = 8.769726254579545e-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) = 1.014417940134178 y[1] (numeric) = 1.014417940134179 absolute error = 8.881784197001252e-16 relative error = 8.755547241037996e-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) = 1.016179231056861 y[1] (numeric) = 1.016179231056862 absolute error = 6.661338147750939e-16 relative error = 6.555278777763367e-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) = 1.018016923238052 y[1] (numeric) = 1.018016923238053 absolute error = 6.661338147750939e-16 relative error = 6.54344539436822e-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) = 1.019952498930631 y[1] (numeric) = 1.019952498930631 absolute error = 2.220446049250313e-16 relative error = 2.177009274038094e-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) = 1.021985765197519 y[1] (numeric) = 1.021985765197519 absolute error = 2.220446049250313e-16 relative error = 2.17267805958253e-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) = 1.024116519363898 y[1] (numeric) = 1.024116519363899 absolute error = 2.220446049250313e-16 relative error = 2.168157633693363e-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) = 1.026344549037412 y[1] (numeric) = 1.026344549037412 absolute error = 0 relative error = 0 % 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) = 1.028669632129338 y[1] (numeric) = 1.028669632129338 absolute error = 4.440892098500626e-16 relative error = 4.317121804507844e-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) = 1.031091536876722 y[1] (numeric) = 1.031091536876723 absolute error = 1.332267629550188e-15 relative error = 1.292094427994006e-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] = 0.2601279999999915 y[1] (analytic) = 1.033642936092704 y[1] (numeric) = 1.033642936092705 absolute error = 1.332267629550188e-15 relative error = 1.288905078369056e-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] = 0.2701119999999928 y[1] (analytic) = 1.036258983599725 y[1] (numeric) = 1.036258983599726 absolute error = 6.661338147750939e-16 relative error = 6.428256114712736e-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) = 1.038971096259992 y[1] (numeric) = 1.038971096259992 absolute error = 0 relative error = 0 % 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) = 1.041779003731666 y[1] (numeric) = 1.041779003731666 absolute error = 2.220446049250313e-16 relative error = 2.131398349646755e-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) = 1.044682426124135 y[1] (numeric) = 1.044682426124135 absolute error = 0 relative error = 0 % 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) = 1.047681074025918 y[1] (numeric) = 1.047681074025918 absolute error = 0 relative error = 0 % 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) = 1.050774648533505 y[1] (numeric) = 1.050774648533505 absolute error = 0 relative error = 0 % 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] = 0.3300160000000008 y[1] (analytic) = 1.053962841281161 y[1] (numeric) = 1.053962841281161 absolute error = 2.220446049250313e-16 relative error = 2.106759329912633e-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] = 0.3400000000000021 y[1] (analytic) = 1.057245334471654 y[1] (numeric) = 1.057245334471655 absolute error = 2.220446049250313e-16 relative error = 2.100218347485028e-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] = 0.3501120000000034 y[1] (analytic) = 1.060665697598723 y[1] (numeric) = 1.060665697598722 absolute error = 6.661338147750939e-16 relative error = 6.280337115484899e-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] = 0.3600960000000047 y[1] (analytic) = 1.064136998961022 y[1] (numeric) = 1.06413699896102 absolute error = 1.77635683940025e-15 relative error = 1.669293372126531e-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) = 1.067701586611942 y[1] (numeric) = 1.06770158661194 absolute error = 1.554312234475219e-15 relative error = 1.455755291520548e-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) = 1.071359105235424 y[1] (numeric) = 1.071359105235422 absolute error = 2.220446049250313e-15 relative error = 2.072550686692848e-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) = 1.075109190252104 y[1] (numeric) = 1.075109190252102 absolute error = 2.442490654175344e-15 relative error = 2.2718535720103e-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) = 1.078951467855654 y[1] (numeric) = 1.078951467855651 absolute error = 2.886579864025407e-15 relative error = 2.675356538290177e-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) = 1.082885555050038 y[1] (numeric) = 1.082885555050036 absolute error = 2.220446049250313e-15 relative error = 2.050490043841899e-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) = 1.086911059687697 y[1] (numeric) = 1.086911059687694 absolute error = 2.664535259100376e-15 relative error = 2.45147497152709e-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) = 1.091080945555928 y[1] (numeric) = 1.091080945555926 absolute error = 2.442490654175344e-15 relative error = 2.238597112454241e-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) = 1.095289231137722 y[1] (numeric) = 1.095289231137719 absolute error = 3.108624468950438e-15 relative error = 2.838176785250943e-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] = 0.4500800000000167 y[1] (analytic) = 1.099587697771453 y[1] (numeric) = 1.09958769777145 absolute error = 3.108624468950438e-15 relative error = 2.827081891922513e-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] = 0.460064000000018 y[1] (analytic) = 1.103975916988425 y[1] (numeric) = 1.103975916988421 absolute error = 3.996802888650564e-15 relative error = 3.620371447552574e-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] = 0.4700480000000193 y[1] (analytic) = 1.108453451373456 y[1] (numeric) = 1.108453451373452 absolute error = 4.218847493575595e-15 relative error = 3.806066450826716e-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] = 0.4800320000000207 y[1] (analytic) = 1.113019854608482 y[1] (numeric) = 1.113019854608476 absolute error = 5.551115123125783e-15 relative error = 4.98743584864302e-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] = 0.490016000000022 y[1] (analytic) = 1.117674671517038 y[1] (numeric) = 1.117674671517032 absolute error = 5.995204332975845e-15 relative error = 5.363997669230938e-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] = 0.5000000000000233 y[1] (analytic) = 1.122417438109638 y[1] (numeric) = 1.122417438109632 absolute error = 6.661338147750939e-15 relative error = 5.934813485230489e-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] = 0.5101120000000247 y[1] (analytic) = 1.127310173679651 y[1] (numeric) = 1.127310173679644 absolute error = 7.327471962526033e-15 relative error = 6.499960821437853e-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] = 0.520096000000026 y[1] (analytic) = 1.132228524814433 y[1] (numeric) = 1.132228524814425 absolute error = 8.43769498715119e-15 relative error = 7.452289712038553e-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] = 0.5300800000000273 y[1] (analytic) = 1.137233374913489 y[1] (numeric) = 1.13723337491348 absolute error = 8.881784197001252e-15 relative error = 7.809992559950068e-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] = 0.5400640000000286 y[1] (analytic) = 1.142324225096221 y[1] (numeric) = 1.142324225096212 absolute error = 9.769962616701378e-15 relative error = 8.552705442168509e-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] = 0.55004800000003 y[1] (analytic) = 1.147500567909597 y[1] (numeric) = 1.147500567909587 absolute error = 1.021405182655144e-14 relative error = 8.90113008410827e-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] = 0.5600320000000313 y[1] (analytic) = 1.152761887378726 y[1] (numeric) = 1.152761887378714 absolute error = 1.110223024625157e-14 relative error = 9.630983091830886e-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] = 0.5700160000000326 y[1] (analytic) = 1.158107659058292 y[1] (numeric) = 1.15810765905828 absolute error = 1.154631945610163e-14 relative error = 9.969987993595041e-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] = 0.5800000000000339 y[1] (analytic) = 1.163537350084832 y[1] (numeric) = 1.163537350084819 absolute error = 1.243449787580175e-14 relative error = 1.06868059498865e-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) = 1.169121638545952 y[1] (numeric) = 1.169121638545939 absolute error = 1.332267629550188e-14 relative error = 1.139545780032899e-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) = 1.174718594570852 y[1] (numeric) = 1.174718594570838 absolute error = 1.376676550535194e-14 relative error = 1.171920285332779e-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) = 1.180397814174175 y[1] (numeric) = 1.180397814174161 absolute error = 1.398881011027697e-14 relative error = 1.185092851096456e-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) = 1.186158731254561 y[1] (numeric) = 1.186158731254546 absolute error = 1.509903313490213e-14 relative error = 1.272935294160199e-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) = 1.19200077156709 y[1] (numeric) = 1.192000771567074 absolute error = 1.598721155460225e-14 relative error = 1.34120815488939e-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) = 1.197923352780526 y[1] (numeric) = 1.197923352780509 absolute error = 1.665334536937735e-14 relative error = 1.390184549848111e-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) = 1.20392588453536 y[1] (numeric) = 1.203925884535343 absolute error = 1.709743457922741e-14 relative error = 1.420140126468495e-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) = 1.210007768502662 y[1] (numeric) = 1.210007768502644 absolute error = 1.77635683940025e-14 relative error = 1.468054078362177e-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) = 1.216247889465711 y[1] (numeric) = 1.216247889465692 absolute error = 1.953992523340276e-14 relative error = 1.606574235617913e-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) = 1.22248764896237 y[1] (numeric) = 1.22248764896235 absolute error = 1.998401444325282e-14 relative error = 1.634700723579086e-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) = 1.228804910445435 y[1] (numeric) = 1.228804910445414 absolute error = 2.109423746787797e-14 relative error = 1.716646579824574e-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) = 1.235199044213896 y[1] (numeric) = 1.235199044213874 absolute error = 2.176037128265307e-14 relative error = 1.761689452771702e-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) = 1.241669412904155 y[1] (numeric) = 1.241669412904133 absolute error = 2.264854970235319e-14 relative error = 1.824040237037025e-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) = 1.248215371553564 y[1] (numeric) = 1.24821537155354 absolute error = 2.309263891220326e-14 relative error = 1.850052437942782e-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) = 1.254836267664707 y[1] (numeric) = 1.254836267664682 absolute error = 2.486899575160351e-14 relative error = 1.981851847323918e-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) = 1.261531441270449 y[1] (numeric) = 1.261531441270423 absolute error = 2.620126338115369e-14 relative error = 2.076940972217641e-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) = 1.268387479256333 y[1] (numeric) = 1.268387479256306 absolute error = 2.686739719592879e-14 relative error = 2.118232609145699e-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) = 1.275230129057808 y[1] (numeric) = 1.27523012905778 absolute error = 2.775557561562891e-14 relative error = 2.176515044867695e-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) = 1.282145023505443 y[1] (numeric) = 1.282145023505415 absolute error = 2.797762022055394e-14 relative error = 2.182094826064361e-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) = 1.289131473326514 y[1] (numeric) = 1.289131473326485 absolute error = 2.886579864025407e-14 relative error = 2.239166387410268e-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) = 1.296188782115701 y[1] (numeric) = 1.29618878211567 absolute error = 3.042011087472929e-14 relative error = 2.346888917297691e-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) = 1.303316246404499 y[1] (numeric) = 1.303316246404468 absolute error = 3.108624468950438e-14 relative error = 2.385165133578518e-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) = 1.310513155731345 y[1] (numeric) = 1.310513155731312 absolute error = 3.26405569239796e-14 relative error = 2.490669916683455e-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) = 1.317778792712434 y[1] (numeric) = 1.317778792712402 absolute error = 3.286260152890463e-14 relative error = 2.493787402759934e-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] = 0.8301120000000671 y[1] (analytic) = 1.325206892474995 y[1] (numeric) = 1.325206892474962 absolute error = 3.286260152890463e-14 relative error = 2.479809131352274e-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] = 0.8400960000000685 y[1] (analytic) = 1.332608662973819 y[1] (numeric) = 1.332608662973785 absolute error = 3.441691376337985e-14 relative error = 2.582672221759076e-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] = 0.8500800000000698 y[1] (analytic) = 1.340076958659363 y[1] (numeric) = 1.340076958659328 absolute error = 3.574918139293004e-14 relative error = 2.66769614699548e-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] = 0.8600640000000711 y[1] (analytic) = 1.347611035096186 y[1] (numeric) = 1.347611035096149 absolute error = 3.708144902248023e-14 relative error = 2.751643319678926e-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] = 0.8700480000000724 y[1] (analytic) = 1.355210141291857 y[1] (numeric) = 1.35521014129182 absolute error = 3.774758283725532e-14 relative error = 2.785367500369526e-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] = 0.8800320000000738 y[1] (analytic) = 1.362873519771818 y[1] (numeric) = 1.362873519771779 absolute error = 3.907985046680551e-14 relative error = 2.867459811923598e-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] = 0.8900160000000751 y[1] (analytic) = 1.370600406654886 y[1] (numeric) = 1.370600406654847 absolute error = 3.952393967665557e-14 relative error = 2.88369531226964e-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] = 0.9000000000000764 y[1] (analytic) = 1.378390031729396 y[1] (numeric) = 1.378390031729355 absolute error = 4.04121180963557e-14 relative error = 2.931834761286882e-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] = 0.9101120000000777 y[1] (analytic) = 1.386342678779324 y[1] (numeric) = 1.386342678779283 absolute error = 4.107825191113079e-14 relative error = 2.963066241840022e-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] = 0.9200960000000791 y[1] (analytic) = 1.394256223903626 y[1] (numeric) = 1.394256223903584 absolute error = 4.196643033083092e-14 relative error = 3.00995108440927e-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] = 0.9300800000000804 y[1] (analytic) = 1.402230149221037 y[1] (numeric) = 1.402230149220994 absolute error = 4.329869796038111e-14 relative error = 3.087845314439593e-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] = 0.9400640000000817 y[1] (analytic) = 1.410263659895244 y[1] (numeric) = 1.410263659895201 absolute error = 4.352074256530614e-14 relative error = 3.086000426937109e-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] = 0.950048000000083 y[1] (analytic) = 1.418355955150498 y[1] (numeric) = 1.418355955150453 absolute error = 4.529709940470639e-14 relative error = 3.193634097295417e-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] = 0.9600320000000844 y[1] (analytic) = 1.426506228351436 y[1] (numeric) = 1.426506228351389 absolute error = 4.707345624410664e-14 relative error = 3.299912422990807e-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] = 0.9700160000000857 y[1] (analytic) = 1.434713667083487 y[1] (numeric) = 1.43471366708344 absolute error = 4.796163466380676e-14 relative error = 3.342941226823612e-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] = 0.980000000000087 y[1] (analytic) = 1.442977453233855 y[1] (numeric) = 1.442977453233807 absolute error = 4.75175454539567e-14 relative error = 3.293020646127574e-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] = 0.9901120000000884 y[1] (analytic) = 1.451403777769277 y[1] (numeric) = 1.451403777769227 absolute error = 4.907185768843192e-14 relative error = 3.380992831908741e-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 Finished! diff ( y , x , 1 ) = sin ( x ) ; Iterations = 7032 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100 %