##############ECHO OF PROBLEM################# ##############temp/h3sinpostode.ode################# diff ( y , x , 3 ) = 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=1.5; 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); 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(1.0 + cos(x)); } double exact_soln_yp (double x) { return(-sin(x)); } double exact_soln_ypp (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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 1400000 step_error = 4.215215646214591e-15 est_needed_step_err = 4.215215646214591e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 700000 step_error = 5.961215135203944e-15 est_needed_step_err = 5.961215135203944e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663099e-247 estimated_step_error = 1.838101935663099e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 350000 step_error = 8.430431292429182e-15 est_needed_step_err = 8.430431292429182e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 175000 step_error = 1.192243027040789e-14 est_needed_step_err = 1.192243027040789e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.680190902457671e-226 estimated_step_error = 8.680190902457671e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 87500 step_error = 1.686086258485836e-14 est_needed_step_err = 1.686086258485836e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152478e-215 estimated_step_error = 5.964981703152478e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 43750 step_error = 2.384486054081578e-14 est_needed_step_err = 2.384486054081578e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104124878064e-204 estimated_step_error = 4.099104124878064e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 21875 step_error = 3.372172516971673e-14 est_needed_step_err = 3.372172516971673e-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 = 1.995004165278026 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1.995004165278026 desired_abs_gbl_error = 1.995004165278026e-10 range = 1.4 estimated_steps = 10937.5 step_error = 4.768972108163155e-14 est_needed_step_err = 4.768972108163155e-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) = 1.995004165278026 y[1] (numeric) = 1.995004165278026 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) = 1.993943796552936 y[1] (numeric) = 1.993943796552935 absolute error = 1.110223024625157e-15 relative error = 5.567975519392639e-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) = 1.992797138907122 y[1] (numeric) = 1.992797138907121 absolute error = 8.881784197001252e-16 relative error = 4.456943470860335e-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) = 1.991551519810391 y[1] (numeric) = 1.991551519810391 absolute error = 8.881784197001252e-16 relative error = 4.459731073312558e-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) = 1.990207063425344 y[1] (numeric) = 1.990207063425343 absolute error = 8.881784197001252e-16 relative error = 4.462743781903185e-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) = 1.988763903766622 y[1] (numeric) = 1.988763903766621 absolute error = 1.332267629550188e-15 relative error = 6.698973302094521e-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) = 1.987222184687556 y[1] (numeric) = 1.987222184687555 absolute error = 8.881784197001252e-16 relative error = 4.469446982546495e-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) = 1.985582059865822 y[1] (numeric) = 1.985582059865821 absolute error = 8.881784197001252e-16 relative error = 4.473138822377077e-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) = 1.983820768943139 y[1] (numeric) = 1.983820768943138 absolute error = 6.661338147750939e-16 relative error = 3.357832649014811e-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) = 1.981983076761948 y[1] (numeric) = 1.981983076761947 absolute error = 8.881784197001252e-16 relative error = 4.48126136955307e-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) = 1.980047501069369 y[1] (numeric) = 1.980047501069369 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] = 0.2100799999999935 y[1] (analytic) = 1.978014234802481 y[1] (numeric) = 1.978014234802481 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] = 0.2200639999999926 y[1] (analytic) = 1.975883480636102 y[1] (numeric) = 1.975883480636101 absolute error = 4.440892098500626e-16 relative error = 2.247547561393123e-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) = 1.973655450962588 y[1] (numeric) = 1.973655450962587 absolute error = 2.220446049250313e-16 relative error = 1.125042391855864e-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) = 1.971330367870662 y[1] (numeric) = 1.971330367870662 absolute error = 8.881784197001252e-16 relative error = 4.505477286688854e-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) = 1.968908463123278 y[1] (numeric) = 1.968908463123277 absolute error = 1.77635683940025e-15 relative error = 9.022038721812473e-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) = 1.966357063907296 y[1] (numeric) = 1.966357063907294 absolute error = 1.998401444325282e-15 relative error = 1.01629631820495e-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) = 1.963741016400275 y[1] (numeric) = 1.963741016400273 absolute error = 1.332267629550188e-15 relative error = 6.78433468784169e-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) = 1.961028903740008 y[1] (numeric) = 1.961028903740007 absolute error = 8.881784197001252e-16 relative error = 4.529144970817215e-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) = 1.958220996268334 y[1] (numeric) = 1.958220996268333 absolute error = 1.332267629550188e-15 relative error = 6.803459017593068e-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) = 1.955317573875865 y[1] (numeric) = 1.955317573875863 absolute error = 1.110223024625157e-15 relative error = 5.677967811768055e-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) = 1.952318925974082 y[1] (numeric) = 1.952318925974081 absolute error = 1.332267629550188e-15 relative error = 6.824026606644054e-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) = 1.949225351466495 y[1] (numeric) = 1.949225351466493 absolute error = 1.332267629550188e-15 relative error = 6.834856875567823e-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] = 0.3300160000000008 y[1] (analytic) = 1.946037158718839 y[1] (numeric) = 1.946037158718838 absolute error = 1.110223024625157e-15 relative error = 5.705045351528974e-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) = 1.942754665528346 y[1] (numeric) = 1.942754665528344 absolute error = 1.554312234475219e-15 relative error = 8.000558495905159e-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) = 1.939334302401277 y[1] (numeric) = 1.939334302401277 absolute error = 6.661338147750939e-16 relative error = 3.434858105434887e-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) = 1.935863001038978 y[1] (numeric) = 1.935863001038979 absolute error = 4.440892098500626e-16 relative error = 2.294011557696592e-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] = 0.3700800000000061 y[1] (analytic) = 1.932298413388058 y[1] (numeric) = 1.932298413388059 absolute error = 2.220446049250313e-16 relative error = 1.149121705977609e-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] = 0.3800640000000074 y[1] (analytic) = 1.928640894764576 y[1] (numeric) = 1.928640894764577 absolute error = 8.881784197001252e-16 relative error = 4.605203706460568e-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] = 0.3900480000000087 y[1] (analytic) = 1.924890809747896 y[1] (numeric) = 1.924890809747897 absolute error = 1.110223024625157e-15 relative error = 5.767719493505002e-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] = 0.40003200000001 y[1] (analytic) = 1.921048532144346 y[1] (numeric) = 1.921048532144348 absolute error = 1.77635683940025e-15 relative error = 9.246808759263435e-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] = 0.4100160000000114 y[1] (analytic) = 1.917114444949962 y[1] (numeric) = 1.917114444949963 absolute error = 1.110223024625157e-15 relative error = 5.791115014284577e-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] = 0.4200000000000127 y[1] (analytic) = 1.913088940312303 y[1] (numeric) = 1.913088940312305 absolute error = 1.554312234475219e-15 relative error = 8.124620877383174e-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] = 0.430112000000014 y[1] (analytic) = 1.908919054444072 y[1] (numeric) = 1.908919054444073 absolute error = 1.332267629550188e-15 relative error = 6.979172985091188e-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] = 0.4400960000000154 y[1] (analytic) = 1.904710768862278 y[1] (numeric) = 1.90471076886228 absolute error = 1.998401444325282e-15 relative error = 1.049188925161046e-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) = 1.900412302228547 y[1] (numeric) = 1.900412302228549 absolute error = 1.998401444325282e-15 relative error = 1.05156204365854e-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) = 1.896024083011575 y[1] (numeric) = 1.896024083011578 absolute error = 2.886579864025407e-15 relative error = 1.522438396162389e-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) = 1.891546548626544 y[1] (numeric) = 1.891546548626547 absolute error = 3.108624468950438e-15 relative error = 1.643430065840895e-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) = 1.886980145391518 y[1] (numeric) = 1.886980145391523 absolute error = 4.662936703425657e-15 relative error = 2.471110634000959e-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) = 1.882325328482962 y[1] (numeric) = 1.882325328482967 absolute error = 5.329070518200751e-15 relative error = 2.831110243039471e-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) = 1.877582561890362 y[1] (numeric) = 1.877582561890368 absolute error = 6.217248937900877e-15 relative error = 3.311305219857449e-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) = 1.872689826320349 y[1] (numeric) = 1.872689826320356 absolute error = 7.105427357601002e-15 relative error = 3.794236107728778e-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) = 1.867771475185567 y[1] (numeric) = 1.867771475185575 absolute error = 8.659739592076221e-15 relative error = 4.636402101180959e-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) = 1.862766625086511 y[1] (numeric) = 1.862766625086521 absolute error = 9.325873406851315e-15 relative error = 5.006463655326764e-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) = 1.857675774903779 y[1] (numeric) = 1.857675774903789 absolute error = 1.06581410364015e-14 relative error = 5.73735265345405e-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) = 1.852499432090403 y[1] (numeric) = 1.852499432090414 absolute error = 1.13242748511766e-14 relative error = 6.112970754543242e-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) = 1.847238112621274 y[1] (numeric) = 1.847238112621287 absolute error = 1.265654248072678e-14 relative error = 6.851603155137835e-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) = 1.841892340941708 y[1] (numeric) = 1.841892340941721 absolute error = 1.310063169057685e-14 relative error = 7.112593607875506e-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) = 1.836462649915168 y[1] (numeric) = 1.836462649915183 absolute error = 1.4210854715202e-14 relative error = 7.738167022268842e-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] = 0.5901120000000353 y[1] (analytic) = 1.830878361454048 y[1] (numeric) = 1.830878361454063 absolute error = 1.532107773982716e-14 relative error = 8.368157089179568e-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] = 0.6000960000000366 y[1] (analytic) = 1.825281405429148 y[1] (numeric) = 1.825281405429165 absolute error = 1.620925615952729e-14 relative error = 8.880414883597781e-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] = 0.6100800000000379 y[1] (analytic) = 1.819602185825825 y[1] (numeric) = 1.819602185825842 absolute error = 1.665334536937735e-14 relative error = 9.152190241967225e-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] = 0.6200640000000393 y[1] (analytic) = 1.813841268745439 y[1] (numeric) = 1.813841268745457 absolute error = 1.77635683940025e-14 relative error = 9.793342284183914e-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] = 0.6300480000000406 y[1] (analytic) = 1.80799922843291 y[1] (numeric) = 1.807999228432929 absolute error = 1.865174681370263e-14 relative error = 1.031623604721839e-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) = 1.802076647219474 y[1] (numeric) = 1.802076647219494 absolute error = 1.976196983832779e-14 relative error = 1.096622048169796e-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) = 1.79607411546464 y[1] (numeric) = 1.79607411546466 absolute error = 2.065014825802791e-14 relative error = 1.149738091553409e-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) = 1.789992231497338 y[1] (numeric) = 1.789992231497359 absolute error = 2.153832667772804e-14 relative error = 1.203263695715099e-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) = 1.783752110534289 y[1] (numeric) = 1.783752110534313 absolute error = 2.420286193682841e-14 relative error = 1.356851201122274e-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) = 1.77751235103763 y[1] (numeric) = 1.777512351037655 absolute error = 2.464695114667848e-14 relative error = 1.386598024609546e-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) = 1.771195089554565 y[1] (numeric) = 1.771195089554592 absolute error = 2.642330798607873e-14 relative error = 1.491834984294355e-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) = 1.764800955786104 y[1] (numeric) = 1.764800955786132 absolute error = 2.797762022055394e-14 relative error = 1.585313070509514e-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) = 1.758330587095845 y[1] (numeric) = 1.758330587095874 absolute error = 2.90878432451791e-14 relative error = 1.65428750763087e-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) = 1.751784628446436 y[1] (numeric) = 1.751784628446466 absolute error = 2.997602166487923e-14 relative error = 1.711170493113834e-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) = 1.745163732335293 y[1] (numeric) = 1.745163732335325 absolute error = 3.197442310920451e-14 relative error = 1.832173252100415e-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) = 1.738468558729551 y[1] (numeric) = 1.738468558729584 absolute error = 3.352873534367973e-14 relative error = 1.928636280208718e-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) = 1.731612520743667 y[1] (numeric) = 1.731612520743701 absolute error = 3.463895836830488e-14 relative error = 2.000387381897e-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) = 1.724769870942192 y[1] (numeric) = 1.724769870942228 absolute error = 3.574918139293004e-14 relative error = 2.072692826748029e-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) = 1.717854976494557 y[1] (numeric) = 1.717854976494593 absolute error = 3.61932706027801e-14 relative error = 2.106887432176367e-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) = 1.710868526673486 y[1] (numeric) = 1.710868526673523 absolute error = 3.752553823233029e-14 relative error = 2.193361888846759e-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) = 1.703811217884299 y[1] (numeric) = 1.703811217884339 absolute error = 3.907985046680551e-14 relative error = 2.293672565164394e-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) = 1.696683753595501 y[1] (numeric) = 1.696683753595541 absolute error = 4.019007349143067e-14 relative error = 2.368742755169459e-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) = 1.689486844268655 y[1] (numeric) = 1.689486844268697 absolute error = 4.196643033083092e-14 relative error = 2.483974969867098e-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) = 1.682221207287566 y[1] (numeric) = 1.682221207287608 absolute error = 4.263256414560601e-14 relative error = 2.534301907556337e-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) = 1.674793107525005 y[1] (numeric) = 1.674793107525048 absolute error = 4.263256414560601e-14 relative error = 2.545542130192311e-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) = 1.667391337026181 y[1] (numeric) = 1.667391337026226 absolute error = 4.463096558993129e-14 relative error = 2.676694102869176e-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) = 1.659923041340637 y[1] (numeric) = 1.659923041340683 absolute error = 4.662936703425657e-14 relative error = 2.80912824709008e-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) = 1.652388964903814 y[1] (numeric) = 1.652388964903862 absolute error = 4.818367926873179e-14 relative error = 2.916001031968679e-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) = 1.644789858708143 y[1] (numeric) = 1.644789858708192 absolute error = 4.907185768843192e-14 relative error = 2.983472777913048e-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) = 1.637126480228182 y[1] (numeric) = 1.637126480228233 absolute error = 5.10702591327572e-14 relative error = 3.119506021650756e-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) = 1.629399593345114 y[1] (numeric) = 1.629399593345166 absolute error = 5.218048215738236e-14 relative error = 3.202436183886435e-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) = 1.621609968270604 y[1] (numeric) = 1.621609968270658 absolute error = 5.373479439185758e-14 relative error = 3.313669466965847e-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) = 1.613657321220676 y[1] (numeric) = 1.613657321220731 absolute error = 5.46229728115577e-14 relative error = 3.38504167478615e-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) = 1.605743776096374 y[1] (numeric) = 1.605743776096431 absolute error = 5.639932965095795e-14 relative error = 3.512349260855733e-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) = 1.597769850778963 y[1] (numeric) = 1.597769850779021 absolute error = 5.81756864903582e-14 relative error = 3.641055466279811e-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) = 1.589736340104756 y[1] (numeric) = 1.589736340104814 absolute error = 5.839773109528323e-14 relative error = 3.673422417420181e-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) = 1.581644044849502 y[1] (numeric) = 1.581644044849563 absolute error = 6.061817714453355e-14 relative error = 3.832605531056866e-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) = 1.573493771648564 y[1] (numeric) = 1.573493771648627 absolute error = 6.261657858885883e-14 relative error = 3.979461483552925e-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) = 1.565286332916513 y[1] (numeric) = 1.565286332916577 absolute error = 6.417089082333405e-14 relative error = 4.099626341448208e-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) = 1.557022546766145 y[1] (numeric) = 1.55702254676621 absolute error = 6.483702463810914e-14 relative error = 4.164167357291792e-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) = 1.548596222230723 y[1] (numeric) = 1.54859622223079 absolute error = 6.683542608243442e-14 relative error = 4.315871698702665e-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] = 1.00009600000009 y[1] (analytic) = 1.540221522163934 y[1] (numeric) = 1.540221522164003 absolute error = 6.94999613415348e-14 relative error = 4.512335423276702e-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] = 1.010080000000082 y[1] (analytic) = 1.531792973124834 y[1] (numeric) = 1.531792973124898 absolute error = 6.417089082333405e-14 relative error = 4.189266562075057e-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] = 1.020064000000075 y[1] (analytic) = 1.523311415266365 y[1] (numeric) = 1.523311415266423 absolute error = 5.861977570020827e-14 relative error = 3.848180687988744e-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] = 1.030048000000068 y[1] (analytic) = 1.514777694025361 y[1] (numeric) = 1.514777694025413 absolute error = 5.240252676230739e-14 relative error = 3.459420281206627e-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] = 1.04003200000006 y[1] (analytic) = 1.506192660038275 y[1] (numeric) = 1.506192660038321 absolute error = 4.662936703425657e-14 relative error = 3.095843464877305e-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] = 1.050016000000053 y[1] (analytic) = 1.497557169056383 y[1] (numeric) = 1.497557169056424 absolute error = 4.130029651605582e-14 relative error = 2.757844399494899e-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] = 1.060000000000046 y[1] (analytic) = 1.488872081860488 y[1] (numeric) = 1.488872081860523 absolute error = 3.552713678800501e-14 relative error = 2.386177914197334e-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] = 1.070112000000038 y[1] (analytic) = 1.480025979560888 y[1] (numeric) = 1.480025979560918 absolute error = 2.953193245502916e-14 relative error = 1.995365815388663e-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] = 1.080096000000031 y[1] (analytic) = 1.471243694052501 y[1] (numeric) = 1.471243694052524 absolute error = 2.331468351712829e-14 relative error = 1.584692162921604e-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] = 1.090080000000023 y[1] (analytic) = 1.462414435242247 y[1] (numeric) = 1.462414435242264 absolute error = 1.731947918415244e-14 relative error = 1.184307181793067e-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] = 1.100064000000016 y[1] (analytic) = 1.453539083225593 y[1] (numeric) = 1.453539083225604 absolute error = 1.088018564132653e-14 relative error = 7.485306564431677e-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] = 1.110048000000009 y[1] (analytic) = 1.444618522692553 y[1] (numeric) = 1.444618522692558 absolute error = 5.329070518200751e-15 relative error = 3.688911940758008e-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] = 1.120032000000001 y[1] (analytic) = 1.435653642839497 y[1] (numeric) = 1.435653642839496 absolute error = 6.661338147750939e-16 relative error = 4.639933998687777e-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] = 1.130015999999994 y[1] (analytic) = 1.426645337280521 y[1] (numeric) = 1.426645337280513 absolute error = 8.215650382226158e-15 relative error = 5.758719541246934e-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] = 1.140127999999987 y[1] (analytic) = 1.417478195450251 y[1] (numeric) = 1.417478195450235 absolute error = 1.576516694967722e-14 relative error = 1.112198198200117e-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] = 1.150111999999979 y[1] (analytic) = 1.408385208761048 y[1] (numeric) = 1.408385208761025 absolute error = 2.287059430727822e-14 relative error = 1.623887709485207e-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] = 1.160095999999972 y[1] (analytic) = 1.399251514467835 y[1] (numeric) = 1.399251514467807 absolute error = 2.864375403532904e-14 relative error = 2.04707686496397e-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] = 1.170079999999965 y[1] (analytic) = 1.390078023012037 y[1] (numeric) = 1.390078023012001 absolute error = 3.61932706027801e-14 relative error = 2.603686268225154e-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] = 1.180063999999957 y[1] (analytic) = 1.380865648802033 y[1] (numeric) = 1.380865648801991 absolute error = 4.218847493575595e-14 relative error = 3.055219381578248e-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] = 1.19004799999995 y[1] (analytic) = 1.371615310122016 y[1] (numeric) = 1.371615310121967 absolute error = 4.951594689828198e-14 relative error = 3.610046237663907e-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] = 1.200031999999943 y[1] (analytic) = 1.362327929040454 y[1] (numeric) = 1.362327929040397 absolute error = 5.684341886080801e-14 relative error = 4.172520995062127e-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] = 1.210015999999935 y[1] (analytic) = 1.35300443131818 y[1] (numeric) = 1.353004431318117 absolute error = 6.328271240363392e-14 relative error = 4.677199197491172e-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] = 1.220127999999928 y[1] (analytic) = 1.343525538783688 y[1] (numeric) = 1.343525538783618 absolute error = 7.016609515630989e-14 relative error = 5.222535272372433e-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] = 1.230111999999921 y[1] (analytic) = 1.334132166282643 y[1] (numeric) = 1.334132166282565 absolute error = 7.72715225139109e-14 relative error = 5.791894121645856e-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] = 1.240095999999913 y[1] (analytic) = 1.324705487678389 y[1] (numeric) = 1.324705487678304 absolute error = 8.482103908136196e-14 relative error = 6.403011074560803e-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] = 1.250079999999906 y[1] (analytic) = 1.315246442616859 y[1] (numeric) = 1.315246442616766 absolute error = 9.237055564881302e-14 relative error = 7.023060671810634e-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] = 1.260063999999899 y[1] (analytic) = 1.305755973970253 y[1] (numeric) = 1.305755973970153 absolute error = 1.001421168211891e-13 relative error = 7.669282685086955e-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] = 1.270047999999891 y[1] (analytic) = 1.296235027743057 y[1] (numeric) = 1.29623502774295 absolute error = 1.068034549689401e-13 relative error = 8.239513103954706e-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] = 1.280031999999884 y[1] (analytic) = 1.286684552977744 y[1] (numeric) = 1.286684552977631 absolute error = 1.139088823265411e-13 relative error = 8.852898875868554e-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] = 1.290015999999877 y[1] (analytic) = 1.277105501660178 y[1] (numeric) = 1.277105501660057 absolute error = 1.20792265079217e-13 relative error = 9.458283980625929e-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] = 1.300127999999869 y[1] (analytic) = 1.267375490985966 y[1] (numeric) = 1.267375490985839 absolute error = 1.27675647831893e-13 relative error = 1.007401900541461e-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) = 1.257741818201213 y[1] (numeric) = 1.257741818201078 absolute error = 1.35003119794419e-13 relative error = 1.073377046391736e-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) = 1.248082453859453 y[1] (numeric) = 1.248082453859309 absolute error = 1.434408147815702e-13 relative error = 1.149289570877367e-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) = 1.238398360800598 y[1] (numeric) = 1.238398360800448 absolute error = 1.498801083243961e-13 relative error = 1.210273794512308e-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) = 1.228690504329504 y[1] (numeric) = 1.228690504329347 absolute error = 1.565414464721471e-13 relative error = 1.274051080565416e-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) = 1.218959852119752 y[1] (numeric) = 1.218959852119588 absolute error = 1.636468738297481e-13 relative error = 1.342512417822201e-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) = 1.209207374117188 y[1] (numeric) = 1.209207374117016 absolute error = 1.711963903971991e-13 relative error = 1.415773622139754e-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) = 1.19943404244324 y[1] (numeric) = 1.199434042443062 absolute error = 1.780797731498751e-13 relative error = 1.484698339786385e-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) = 1.189515152492938 y[1] (numeric) = 1.189515152492752 absolute error = 1.860733789271762e-13 relative error = 1.56427918162464e-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) = 1.179702802054378 y[1] (numeric) = 1.179702802054185 absolute error = 1.927347170749272e-13 relative error = 1.633756542234976e-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) = 1.1698725389433 y[1] (numeric) = 1.1698725389431 absolute error = 2.002842336423782e-13 relative error = 1.712017565804965e-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] = 1.410079999999788 y[1] (analytic) = 1.160025343034709 y[1] (numeric) = 1.160025343034502 absolute error = 2.071676163950542e-13 relative error = 1.785888710440488e-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] = 1.420063999999781 y[1] (analytic) = 1.150162195891461 y[1] (numeric) = 1.150162195891246 absolute error = 2.149391775674303e-13 relative error = 1.8687727551403e-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] = 1.430047999999774 y[1] (analytic) = 1.140284080666421 y[1] (numeric) = 1.140284080666198 absolute error = 2.224886941348814e-13 relative error = 1.951168992948243e-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] = 1.440031999999766 y[1] (analytic) = 1.130391982004463 y[1] (numeric) = 1.130391982004233 absolute error = 2.304822999121825e-13 relative error = 2.038959083056132e-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] = 1.450015999999759 y[1] (analytic) = 1.120486885944326 y[1] (numeric) = 1.120486885944087 absolute error = 2.384759056894836e-13 relative error = 2.128323933827218e-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] = 1.460127999999752 y[1] (analytic) = 1.11044256376436 y[1] (numeric) = 1.110442563764114 absolute error = 2.455813330470846e-13 relative error = 2.211562678348468e-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] = 1.470111999999744 y[1] (analytic) = 1.100514301229119 y[1] (numeric) = 1.100514301228867 absolute error = 2.529088050096107e-13 relative error = 2.298096487498138e-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] = 1.480095999999737 y[1] (analytic) = 1.090576019485828 y[1] (numeric) = 1.090576019485568 absolute error = 2.600142323672117e-13 relative error = 2.384191727320395e-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] = 1.49007999999973 y[1] (analytic) = 1.080628709176725 y[1] (numeric) = 1.080628709176457 absolute error = 2.677857935395878e-13 relative error = 2.47805551773282e-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 Finished! diff ( y , x , 3 ) = sin ( x ) ; Iterations = 10938 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 9 Minutes 59.0 Seconds Percent Done = 100 %