##############ECHO OF PROBLEM################# ##############temp/lin_coshpostode.ode################# diff ( y , x , 1 ) = cosh ( 2.0 * x + 3.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=2.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_min_h=0.000000001; 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(sinh(2.0*x+3.0)/2); } /* 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-09 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.9 estimated_steps = 1900000000 step_error = 7.647191129018726e-17 est_needed_step_err = 7.647191129018726e-17 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 1e-09 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 1900000000 step_error = 4.682330773276402e-16 est_needed_step_err = 4.682330773276402e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.018875234004473e-252 estimated_step_error = 1.018875234004473e-252 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 2e-09 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 949999999.9999999 step_error = 6.621815683084388e-16 est_needed_step_err = 6.621815683084388e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.837555950923353e-245 estimated_step_error = 6.837555950923353e-245 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 4e-09 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 474999999.9999999 step_error = 9.364661546552803e-16 est_needed_step_err = 9.364661546552803e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.588606123688032e-237 estimated_step_error = 4.588606123688032e-237 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 8e-09 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 237500000 step_error = 1.324363136616878e-15 est_needed_step_err = 1.324363136616878e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.079361442583753e-229 estimated_step_error = 3.079361442583753e-229 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 1.6e-08 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 118750000 step_error = 1.872932309310561e-15 est_needed_step_err = 1.872932309310561e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.066524481957627e-221 estimated_step_error = 2.066524481957627e-221 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 3.2e-08 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 59374999.99999999 step_error = 2.648726273233755e-15 est_needed_step_err = 2.648726273233755e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.386821103299093e-213 estimated_step_error = 1.386821103299093e-213 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 6.4e-08 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 29687500 step_error = 3.745864618621121e-15 est_needed_step_err = 3.745864618621121e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.306798870295882e-206 estimated_step_error = 9.306798870295882e-206 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 1.28e-07 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 14843750 step_error = 5.297452546467511e-15 est_needed_step_err = 5.297452546467511e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.245686981766529e-198 estimated_step_error = 6.245686981766529e-198 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO 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 = 6.122941998282746 glob_desired_digits_correct = 10 estimated_h = 2.56e-07 estimated_answer = 6.122941998282746 desired_abs_gbl_error = 6.122941998282747e-10 range = 1.9 estimated_steps = 7421874.999999999 step_error = 7.491729237242243e-15 est_needed_step_err = 7.491729237242243e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.191409562522877e-190 estimated_step_error = 4.191409562522877e-190 Double H and LOOP opt_iter = 10 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 22.5 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) = 6.122941998282746 y[1] (numeric) = 6.122941998282746 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100001280001575 y[1] (analytic) = 6.247042885128282 y[1] (numeric) = 6.247042885126296 absolute error = 1.98596694644948e-12 relative error = 3.179051245473719e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000003149 y[1] (analytic) = 6.373639463067161 y[1] (numeric) = 6.373639463063175 absolute error = 3.986144747614162e-12 relative error = 6.254110811746363e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300001280004724 y[1] (analytic) = 6.502788855758807 y[1] (numeric) = 6.502788855752802 absolute error = 6.004974295592547e-12 relative error = 9.234459904498667e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000006298 y[1] (analytic) = 6.634536110775077 y[1] (numeric) = 6.634536110767034 absolute error = 8.043343768804334e-12 relative error = 1.212344561022319e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500001280007873 y[1] (analytic) = 6.768940675894483 y[1] (numeric) = 6.768940675884301 absolute error = 1.018207740344224e-11 relative error = 1.504234989043795e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000009447 y[1] (analytic) = 6.906049431703759 y[1] (numeric) = 6.906049431691407 absolute error = 1.235278546118934e-11 relative error = 1.788690565184941e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700001280011022 y[1] (analytic) = 7.045924245229628 y[1] (numeric) = 7.045924245215126 absolute error = 1.450217723686364e-11 relative error = 2.058236326722104e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000012596 y[1] (analytic) = 7.188613905092638 y[1] (numeric) = 7.188613905075923 absolute error = 1.671551785875636e-11 relative error = 2.325276900309608e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900001280014171 y[1] (analytic) = 7.334182796568171 y[1] (numeric) = 7.334182796549209 absolute error = 1.896172108217797e-11 relative error = 2.58538975754062e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000015745 y[1] (analytic) = 7.482681694382786 y[1] (numeric) = 7.482681694361508 absolute error = 2.12780904007559e-11 relative error = 2.843645001862001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.210000128001732 y[1] (analytic) = 7.634177605090708 y[1] (numeric) = 7.634177605066984 absolute error = 2.372324559019034e-11 relative error = 3.107505066999089e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000018894 y[1] (analytic) = 7.788723370774893 y[1] (numeric) = 7.788723370748682 absolute error = 2.62101451653507e-11 relative error = 3.365140077216925e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300001280020469 y[1] (analytic) = 7.946388726493189 y[1] (numeric) = 7.946388726464526 absolute error = 2.866329396056244e-11 relative error = 3.607084292893862e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000022043 y[1] (analytic) = 8.10722866624357 y[1] (numeric) = 8.107228666212494 absolute error = 3.107558654846798e-11 relative error = 3.833071426473857e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500001280023618 y[1] (analytic) = 8.271315765178469 y[1] (numeric) = 8.271315765144864 absolute error = 3.360511868777394e-11 relative error = 4.062850414833467e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.260000000001435 y[1] (analytic) = 8.438707257194677 y[1] (numeric) = 8.438707257176539 absolute error = 1.813837968711596e-11 relative error = 2.14942634390493e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700001280005083 y[1] (analytic) = 8.609478673692525 y[1] (numeric) = 8.609478673690143 absolute error = 2.382094521635736e-12 relative error = 2.766827832345484e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800002559995815 y[1] (analytic) = 8.783694084621301 y[1] (numeric) = 8.783694084634901 absolute error = 1.359978796244832e-11 relative error = 1.548299363733437e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900001279986548 y[1] (analytic) = 8.961418584868683 y[1] (numeric) = 8.961418584898752 absolute error = 3.006839222052804e-11 relative error = 3.355316118287164e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.300000255997728 y[1] (analytic) = 9.142732368338711 y[1] (numeric) = 9.142732368385612 absolute error = 4.690114963068481e-11 relative error = 5.129883249465283e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100001279968013 y[1] (analytic) = 9.327698677649231 y[1] (numeric) = 9.327698677713377 absolute error = 6.414602182758244e-11 relative error = 6.876939751633201e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200002559958745 y[1] (analytic) = 9.516400974396353 y[1] (numeric) = 9.516400974477836 absolute error = 8.148326458012889e-11 relative error = 8.562403454768e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300001279949478 y[1] (analytic) = 9.708905078326437 y[1] (numeric) = 9.708905078425637 absolute error = 9.920064769630699e-11 relative error = 1.021749073618573e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.340000255994021 y[1] (analytic) = 9.905297852284022 y[1] (numeric) = 9.905297852401452 absolute error = 1.174296215822324e-10 relative error = 1.185523376817536e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500001279930943 y[1] (analytic) = 10.10564779846963 y[1] (numeric) = 10.10564779860566 absolute error = 1.360298540475924e-10 relative error = 1.346077527738423e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600002559921675 y[1] (analytic) = 10.31004531997533 y[1] (numeric) = 10.31004532013051 absolute error = 1.551807571331665e-10 relative error = 1.505141367637925e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700001279912408 y[1] (analytic) = 10.5185617110739 y[1] (numeric) = 10.51856171124835 absolute error = 1.744471234133016e-10 relative error = 1.658469363065526e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.380000255990314 y[1] (analytic) = 10.73129105976917 y[1] (numeric) = 10.73129105996354 absolute error = 1.943725180808542e-10 relative error = 1.81126871872428e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900001279893873 y[1] (analytic) = 10.94830756649228 y[1] (numeric) = 10.94830756670679 absolute error = 2.145128519259742e-10 relative error = 1.959324312211499e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000002559884605 y[1] (analytic) = 11.16970915471966 y[1] (numeric) = 11.16970915495471 absolute error = 2.350510897031199e-10 relative error = 2.104361773858733e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100001279875338 y[1] (analytic) = 11.39557304977731 y[1] (numeric) = 11.39557305003321 absolute error = 2.558948608566425e-10 relative error = 2.245563779362926e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.420000255986607 y[1] (analytic) = 11.62600116731276 y[1] (numeric) = 11.62600116759009 absolute error = 2.773319351945247e-10 relative error = 2.385445616281727e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300001279856803 y[1] (analytic) = 11.86107388112385 y[1] (numeric) = 11.86107388142309 absolute error = 2.992344150243298e-10 relative error = 2.522827342813726e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400002559847535 y[1] (analytic) = 12.10089726211598 y[1] (numeric) = 12.10089726243735 absolute error = 3.213678212432569e-10 relative error = 2.655735473842557e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500001279838268 y[1] (analytic) = 12.34555496117406 y[1] (numeric) = 12.34555496151814 absolute error = 3.440820961486679e-10 relative error = 2.787092983918365e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600002559829 y[1] (analytic) = 12.59515737419743 y[1] (numeric) = 12.59515737456444 absolute error = 3.670113102316463e-10 relative error = 2.913908094419762e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700001279819733 y[1] (analytic) = 12.84979156301734 y[1] (numeric) = 12.84979156340815 absolute error = 3.908073864522521e-10 relative error = 3.041351951396822e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800002559810465 y[1] (analytic) = 13.10957242518407 y[1] (numeric) = 13.10957242559902 absolute error = 4.149498522565409e-10 relative error = 3.165243219217461e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900001279801198 y[1] (analytic) = 13.37459057279272 y[1] (numeric) = 13.3745905732322 absolute error = 4.394813402086584e-10 relative error = 3.285942383183483e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000002559791931 y[1] (analytic) = 13.64496558890507 y[1] (numeric) = 13.64496558936959 absolute error = 4.645261952873625e-10 relative error = 3.404377916973832e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100001279782663 y[1] (analytic) = 13.92079178087876 y[1] (numeric) = 13.920791781369 absolute error = 4.902407368945205e-10 relative error = 3.521644060274664e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200002559773396 y[1] (analytic) = 14.20219360864551 y[1] (numeric) = 14.20219360916179 absolute error = 5.162874572306464e-10 relative error = 3.635265589650596e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300001279764128 y[1] (analytic) = 14.48926922573738 y[1] (numeric) = 14.4892692262803 absolute error = 5.429203753237744e-10 relative error = 3.747051468678499e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400002559754861 y[1] (analytic) = 14.78214816811848 y[1] (numeric) = 14.7821481686885 absolute error = 5.700240279793434e-10 relative error = 3.856165027548212e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500001279745593 y[1] (analytic) = 15.08093259256184 y[1] (numeric) = 15.08093259315953 absolute error = 5.976907857530023e-10 relative error = 3.963221651476601e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600002559736326 y[1] (analytic) = 15.38575731834917 y[1] (numeric) = 15.38575731897504 absolute error = 6.258709106532478e-10 relative error = 4.06785897959556e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700001279727058 y[1] (analytic) = 15.69672866896714 y[1] (numeric) = 15.696728669622 absolute error = 6.548646069859387e-10 relative error = 4.171981441461901e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800002559717791 y[1] (analytic) = 16.01398696275462 y[1] (numeric) = 16.01398696343897 absolute error = 6.843485778063041e-10 relative error = 4.27344283093251e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900001279708523 y[1] (analytic) = 16.3376428600522 y[1] (numeric) = 16.33764286076656 absolute error = 7.143690083921683e-10 relative error = 4.372534119587714e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000002559699256 y[1] (analytic) = 16.66784240279516 y[1] (numeric) = 16.66784240353997 absolute error = 7.448051064784522e-10 relative error = 4.468515411170134e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100001279689988 y[1] (analytic) = 17.00470076525817 y[1] (numeric) = 17.00470076603436 absolute error = 7.761933318306546e-10 relative error = 4.564580950559704e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200002559680721 y[1] (analytic) = 17.34836994667125 y[1] (numeric) = 17.34836994747939 absolute error = 8.081464386577863e-10 relative error = 4.658342202420298e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300001279671453 y[1] (analytic) = 17.69896981954649 y[1] (numeric) = 17.69896982038713 absolute error = 8.406360052504169e-10 relative error = 4.749632401327846e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400002559662186 y[1] (analytic) = 18.05665858363984 y[1] (numeric) = 18.05665858451357 absolute error = 8.737295331684436e-10 relative error = 4.838821807042874e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500001279652918 y[1] (analytic) = 18.42156100152247 y[1] (numeric) = 18.42156100242997 absolute error = 9.075051821128e-10 relative error = 4.926320750113404e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600002559643651 y[1] (analytic) = 18.79384172662952 y[1] (numeric) = 18.7938417275713 absolute error = 9.417782109721884e-10 relative error = 5.011100043679502e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700001279634383 y[1] (analytic) = 19.17363061123801 y[1] (numeric) = 19.17363061221486 absolute error = 9.768470476956281e-10 relative error = 5.094742187862326e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800002559625116 y[1] (analytic) = 19.56109902594297 y[1] (numeric) = 19.56109902695592 absolute error = 1.012956829526956e-09 relative error = 5.178424935038258e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900001279615848 y[1] (analytic) = 19.95638212051854 y[1] (numeric) = 19.95638212156805 absolute error = 1.049510700568135e-09 relative error = 5.259022874136391e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000002559606581 y[1] (analytic) = 20.35965825694916 y[1] (numeric) = 20.35965825803614 absolute error = 1.086977619024765e-09 relative error = 5.33887949054232e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100001279597313 y[1] (analytic) = 20.77106809877456 y[1] (numeric) = 20.77106809989952 absolute error = 1.124959680964821e-09 relative error = 5.41599341745546e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200002559588046 y[1] (analytic) = 21.19079728478584 y[1] (numeric) = 21.19079728595042 absolute error = 1.164583096624483e-09 relative error = 5.495702124717166e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300001279578778 y[1] (analytic) = 21.61899221737999 y[1] (numeric) = 21.61899221858441 absolute error = 1.204419675104873e-09 relative error = 5.571118500781056e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400002559569511 y[1] (analytic) = 22.05584610921642 y[1] (numeric) = 22.05584611046134 absolute error = 1.244924163756878e-09 relative error = 5.644418072162121e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500001279560243 y[1] (analytic) = 22.50151133582449 y[1] (numeric) = 22.50151133711074 absolute error = 1.286252881982364e-09 relative error = 5.71629550915778e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600002559550976 y[1] (analytic) = 22.95618899291334 y[1] (numeric) = 22.95618899424143 absolute error = 1.328089638263918e-09 relative error = 5.785322810654261e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700001279541708 y[1] (analytic) = 23.42003767297805 y[1] (numeric) = 23.42003767434916 absolute error = 1.371105895486835e-09 relative error = 5.85441370604118e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800002559532441 y[1] (analytic) = 23.89326667657362 y[1] (numeric) = 23.89326667798833 absolute error = 1.414704797753075e-09 relative error = 5.920935035392776e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900001279523173 y[1] (analytic) = 24.37604106694262 y[1] (numeric) = 24.376041068402 absolute error = 1.459380172263991e-09 relative error = 5.986945001676741e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000002559513906 y[1] (analytic) = 24.86857868441141 y[1] (numeric) = 24.86857868591625 absolute error = 1.504844249211601e-09 relative error = 6.051187196133955e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100001279504638 y[1] (analytic) = 25.37105132710653 y[1] (numeric) = 25.37105132865782 absolute error = 1.551292427848239e-09 relative error = 6.114419177382815e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200002559495371 y[1] (analytic) = 25.88368572371662 y[1] (numeric) = 25.88368572531531 absolute error = 1.598692733750795e-09 relative error = 6.176449331116511e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300001279486103 y[1] (analytic) = 26.40666068216589 y[1] (numeric) = 26.40666068381274 absolute error = 1.646853320380615e-09 relative error = 6.236507297164009e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400002559476836 y[1] (analytic) = 26.94021218231956 y[1] (numeric) = 26.94021218401597 absolute error = 1.696406570772524e-09 relative error = 6.296930994054491e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500001279467568 y[1] (analytic) = 27.48452632803028 y[1] (numeric) = 27.48452632977703 absolute error = 1.746752076314806e-09 relative error = 6.355401783051175e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600002559458301 y[1] (analytic) = 28.03984872795804 y[1] (numeric) = 28.03984872975635 absolute error = 1.79830550450788e-09 relative error = 6.413392318749641e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700001279449033 y[1] (analytic) = 28.6063730796897 y[1] (numeric) = 28.60637308154055 absolute error = 1.850850139817339e-09 relative error = 6.470062229354858e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800002559439766 y[1] (analytic) = 29.18435501370635 y[1] (numeric) = 29.18435501561037 absolute error = 1.904023605447946e-09 relative error = 6.52412432809883e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900001279430498 y[1] (analytic) = 29.77399613128655 y[1] (numeric) = 29.77399613324515 absolute error = 1.958596840268001e-09 relative error = 6.578212852690959e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000002559421231 y[1] (analytic) = 30.37556249379572 y[1] (numeric) = 30.37556249580983 absolute error = 2.014107991499259e-09 relative error = 6.630685413350435e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100001279411963 y[1] (analytic) = 30.98926392880927 y[1] (numeric) = 30.98926393088028 absolute error = 2.071008253778928e-09 relative error = 6.682986270782662e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200002559402696 y[1] (analytic) = 31.61537735433181 y[1] (numeric) = 31.6153773564611 absolute error = 2.12929052167965e-09 relative error = 6.734983732173936e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300001279393428 y[1] (analytic) = 32.25412116000444 y[1] (numeric) = 32.25412116219332 absolute error = 2.188883740927849e-09 relative error = 6.786369190062124e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400002559384161 y[1] (analytic) = 32.90578356359897 y[1] (numeric) = 32.90578356584813 absolute error = 2.249159081202379e-09 relative error = 6.83514822509938e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500001279374893 y[1] (analytic) = 33.5705918662922 y[1] (numeric) = 33.57059186860243 absolute error = 2.310223123913602e-09 relative error = 6.88168720144987e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600002559365626 y[1] (analytic) = 34.24884604683303 y[1] (numeric) = 34.24884604920616 absolute error = 2.373127472310443e-09 relative error = 6.92907278997181e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700001279356358 y[1] (analytic) = 34.94078268166436 y[1] (numeric) = 34.94078268410171 absolute error = 2.437346324768441e-09 relative error = 6.975648905676836e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800002559347091 y[1] (analytic) = 35.64671399054205 y[1] (numeric) = 35.64671399304557 absolute error = 2.503512064322422e-09 relative error = 7.023121584184912e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900001279337823 y[1] (analytic) = 36.36688620374797 y[1] (numeric) = 36.36688620631825 absolute error = 2.570281765201798e-09 relative error = 7.067643214768565e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000255932856 y[1] (analytic) = 37.10162428166326 y[1] (numeric) = 37.10162428430125 absolute error = 2.637989382492378e-09 relative error = 7.110172219053363e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000127936266 y[1] (analytic) = 37.85118450275799 y[1] (numeric) = 37.85118450514065 absolute error = 2.382662955824344e-09 relative error = 6.294817420180691e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000255939676 y[1] (analytic) = 38.61590508772942 y[1] (numeric) = 38.61590508985121 absolute error = 2.121794295817381e-09 relative error = 5.494612365026767e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000127943086 y[1] (analytic) = 39.3960527726792 y[1] (numeric) = 39.39605277453465 absolute error = 1.855447351317707e-09 relative error = 4.709729073681318e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000255946496 y[1] (analytic) = 40.19197958047722 y[1] (numeric) = 40.19197958206158 absolute error = 1.584368192197871e-09 relative error = 3.942000888573948e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000127949906 y[1] (analytic) = 41.00396313201922 y[1] (numeric) = 41.00396313332658 absolute error = 1.307363106661796e-09 relative error = 3.188382309418529e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000255953316 y[1] (analytic) = 41.83236981534391 y[1] (numeric) = 41.83236981636953 absolute error = 1.025618701078201e-09 relative error = 2.451734639001995e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000127956726 y[1] (analytic) = 42.67748858039394 y[1] (numeric) = 42.67748858113156 absolute error = 7.3761441399256e-10 relative error = 1.728345407680386e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000255960136 y[1] (analytic) = 43.53970076667567 y[1] (numeric) = 43.53970076711987 absolute error = 4.442028966877842e-10 relative error = 1.020224964494399e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000127963546 y[1] (analytic) = 44.41930711556035 y[1] (numeric) = 44.41930711570482 absolute error = 1.444675490347436e-10 relative error = 3.252359354883672e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000255966956 y[1] (analytic) = 45.31670452824657 y[1] (numeric) = 45.31670452808508 absolute error = 1.614921529835556e-10 relative error = 3.563634087357238e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000127970366 y[1] (analytic) = 46.23220601878438 y[1] (numeric) = 46.2322060183102 absolute error = 4.741806947095029e-10 relative error = 1.025650159364753e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000255973776 y[1] (analytic) = 47.16622468519137 y[1] (numeric) = 47.16622468439849 absolute error = 7.928875334073382e-10 relative error = 1.681049392228076e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000127977186 y[1] (analytic) = 48.11908631508557 y[1] (numeric) = 48.11908631396778 absolute error = 1.117783199333644e-09 relative error = 2.322951836646187e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000255980596 y[1] (analytic) = 49.09122086434854 y[1] (numeric) = 49.09122086289865 absolute error = 1.449883768600557e-09 relative error = 2.953448178864716e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000127984006 y[1] (analytic) = 50.08296741549604 y[1] (numeric) = 50.08296741370834 absolute error = 1.787704206890339e-09 relative error = 3.569485394224485e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000255987417 y[1] (analytic) = 51.09477347029458 y[1] (numeric) = 51.09477346816191 absolute error = 2.13266559967451e-09 relative error = 4.173940806126476e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000127990827 y[1] (analytic) = 52.12699194876221 y[1] (numeric) = 52.12699194627769 absolute error = 2.484519256995554e-09 relative error = 4.766281659677757e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000255994237 y[1] (analytic) = 53.1800886146486 y[1] (numeric) = 53.180088611805 absolute error = 2.843599133939279e-09 relative error = 5.347112440042082e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000127997647 y[1] (analytic) = 54.25443079022131 y[1] (numeric) = 54.25443078701169 absolute error = 3.209621013411379e-09 relative error = 5.915868928422844e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000001057 y[1] (analytic) = 55.3504749059281 y[1] (numeric) = 55.35047490234528 absolute error = 3.582812269087299e-09 relative error = 6.472956691295842e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000128004467 y[1] (analytic) = 56.46868829589985 y[1] (numeric) = 56.46868829193618 absolute error = 3.963677386309428e-09 relative error = 7.019248199178069e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000007877 y[1] (analytic) = 57.60946099525045 y[1] (numeric) = 57.60946099089779 absolute error = 4.352656901573937e-09 relative error = 7.555455000581913e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000128011287 y[1] (analytic) = 58.77330775020953 y[1] (numeric) = 58.77330774546022 absolute error = 4.749317383812013e-09 relative error = 8.080738630530934e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000014697 y[1] (analytic) = 59.96063451290187 y[1] (numeric) = 59.96063450774785 absolute error = 5.154021209818893e-09 relative error = 8.595674898520113e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000128018107 y[1] (analytic) = 61.17197703595809 y[1] (numeric) = 61.1719770303905 absolute error = 5.567585503740702e-09 relative error = 9.101529447818836e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000021517 y[1] (analytic) = 62.40775783812364 y[1] (numeric) = 62.40775783213459 absolute error = 5.989051032884163e-09 relative error = 9.596645097263168e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000128024927 y[1] (analytic) = 63.66853453574868 y[1] (numeric) = 63.66853452933019 absolute error = 6.418488851522852e-09 relative error = 1.008110033994734e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000028337 y[1] (analytic) = 64.95474689031968 y[1] (numeric) = 64.95474688346329 absolute error = 6.856396339571802e-09 relative error = 1.055565092286369e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000128031747 y[1] (analytic) = 66.26697527421109 y[1] (numeric) = 66.26697526690772 absolute error = 7.303370352929051e-09 relative error = 1.102113129912432e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000035157 y[1] (analytic) = 67.60567739536285 y[1] (numeric) = 67.60567738760189 absolute error = 7.760959874758555e-09 relative error = 1.147974574586673e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000128038567 y[1] (analytic) = 68.97145731089334 y[1] (numeric) = 68.97145730266641 absolute error = 8.226933800870029e-09 relative error = 1.192802663830429e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000041977 y[1] (analytic) = 70.36479140762609 y[1] (numeric) = 70.36479139892397 absolute error = 8.702116360836953e-09 relative error = 1.236714582215591e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000128045387 y[1] (analytic) = 71.78630839404396 y[1] (numeric) = 71.78630838485644 absolute error = 9.187516525344108e-09 relative error = 1.279842456156498e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000048797 y[1] (analytic) = 73.23650409817442 y[1] (numeric) = 73.23650408849274 absolute error = 9.681684787210543e-09 relative error = 1.321975278097945e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000128052208 y[1] (analytic) = 74.71603288593261 y[1] (numeric) = 74.71603287574672 absolute error = 1.018588591250591e-08 relative error = 1.36327981011204e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000055618 y[1] (analytic) = 76.22541081998068 y[1] (numeric) = 76.22541080928144 absolute error = 1.069923882823787e-08 relative error = 1.403631507281207e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000128059028 y[1] (analytic) = 77.76531897079076 y[1] (numeric) = 77.76531895956622 absolute error = 1.122454307278531e-08 relative error = 1.443386746346573e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000062438 y[1] (analytic) = 79.3362944614704 y[1] (numeric) = 79.33629444970936 absolute error = 1.176104547084833e-08 relative error = 1.482429391324808e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000128065848 y[1] (analytic) = 80.93904615690667 y[1] (numeric) = 80.9390461446002 absolute error = 1.23064722856725e-08 relative error = 1.520461738802239e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000069258 y[1] (analytic) = 82.57413310016385 y[1] (numeric) = 82.57413308729856 absolute error = 1.286528572563839e-08 relative error = 1.558028554781504e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000128072668 y[1] (analytic) = 84.24229308487942 y[1] (numeric) = 84.24229307144535 absolute error = 1.343407518561435e-08 relative error = 1.594694860938634e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000076078 y[1] (analytic) = 85.94410796866227 y[1] (numeric) = 85.94410795464739 absolute error = 1.401487281782465e-08 relative error = 1.630696175581331e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000128079488 y[1] (analytic) = 87.68034565452757 y[1] (numeric) = 87.68034563991924 absolute error = 1.46083323215862e-08 relative error = 1.666089727696217e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000082898 y[1] (analytic) = 89.45161174572536 y[1] (numeric) = 89.45161173051267 absolute error = 1.521269155091431e-08 relative error = 1.700661536894139e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000128086308 y[1] (analytic) = 91.25870548345669 y[1] (numeric) = 91.25870546762715 absolute error = 1.582954212153709e-08 relative error = 1.734578858825327e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000089718 y[1] (analytic) = 93.10225718570753 y[1] (numeric) = 93.10225716924936 absolute error = 1.645817349071876e-08 relative error = 1.767752360492214e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000128093128 y[1] (analytic) = 94.98309871082124 y[1] (numeric) = 94.98309869372217 absolute error = 1.709906882751966e-08 relative error = 1.800222256338284e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000096538 y[1] (analytic) = 96.90188610016259 y[1] (numeric) = 96.90188608241058 absolute error = 1.775200075826433e-08 relative error = 1.831956164394466e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000128099948 y[1] (analytic) = 98.85948516036856 y[1] (numeric) = 98.8594851419512 absolute error = 1.84173671868848e-08 relative error = 1.862984331448661e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000103358 y[1] (analytic) = 100.8565787059886 y[1] (numeric) = 100.85657868689 absolute error = 1.909859292936744e-08 relative error = 1.893638786324746e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000128106769 y[1] (analytic) = 102.8940678774286 y[1] (numeric) = 102.8940678576358 absolute error = 1.979286423647864e-08 relative error = 1.923615680163083e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000110179 y[1] (analytic) = 104.972663355072 y[1] (numeric) = 104.9726633345714 absolute error = 2.050062164471456e-08 relative error = 1.952948604854467e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000128113589 y[1] (analytic) = 107.0933030551101 y[1] (numeric) = 107.0933030338861 absolute error = 2.122403941484663e-08 relative error = 1.981826949900384e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000116999 y[1] (analytic) = 109.2567266610007 y[1] (numeric) = 109.2567266390393 absolute error = 2.196144066601846e-08 relative error = 2.010076755654589e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000128120409 y[1] (analytic) = 111.4639103655866 y[1] (numeric) = 111.4639103428704 absolute error = 2.271620758165227e-08 relative error = 2.037987677549278e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000123819 y[1] (analytic) = 113.715624039051 y[1] (numeric) = 113.7156240155672 absolute error = 2.348377847738448e-08 relative error = 2.065132093837864e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000128127229 y[1] (analytic) = 116.0128837130055 y[1] (numeric) = 116.0128836887386 absolute error = 2.426682499390154e-08 relative error = 2.091735350181727e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000130639 y[1] (analytic) = 118.3564906763149 y[1] (numeric) = 118.3564906512499 absolute error = 2.506494922727143e-08 relative error = 2.117750288475505e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000128134049 y[1] (analytic) = 120.7475024252269 y[1] (numeric) = 120.7475023993464 absolute error = 2.588043912510329e-08 relative error = 2.143351920767869e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000137459 y[1] (analytic) = 123.1867529495215 y[1] (numeric) = 123.1867529228087 absolute error = 2.671279730748211e-08 relative error = 2.168479699958344e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000128140869 y[1] (analytic) = 125.6753429023015 y[1] (numeric) = 125.6753428747398 absolute error = 2.756166850303998e-08 relative error = 2.193084806179212e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000144279 y[1] (analytic) = 128.2141403088241 y[1] (numeric) = 128.2141402803971 absolute error = 2.842705271177692e-08 relative error = 2.217154257970755e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000128147689 y[1] (analytic) = 130.8042907403268 y[1] (numeric) = 130.8042907110155 absolute error = 2.931130893557565e-08 relative error = 2.240852251075201e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000151099 y[1] (analytic) = 133.4466976465694 y[1] (numeric) = 133.4466976163559 absolute error = 3.021355610144383e-08 relative error = 2.264091703600171e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000128154509 y[1] (analytic) = 136.1425533500832 y[1] (numeric) = 136.1425533189521 absolute error = 3.113112256869499e-08 relative error = 2.286656288033838e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000157919 y[1] (analytic) = 138.8927981708421 y[1] (numeric) = 138.8927981387741 absolute error = 3.206795895493997e-08 relative error = 2.308828058564668e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000128161329 y[1] (analytic) = 141.6986730906419 y[1] (numeric) = 141.6986730576173 absolute error = 3.302454842923908e-08 relative error = 2.330618043834039e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000164739 y[1] (analytic) = 144.5611568043838 y[1] (numeric) = 144.5611567703844 absolute error = 3.399935621928307e-08 relative error = 2.351901227885861e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.69000012816815 y[1] (analytic) = 147.4815409389628 y[1] (numeric) = 147.4815409039702 absolute error = 3.499255285532854e-08 relative error = 2.372673395771656e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.70000000017156 y[1] (analytic) = 150.4608441303286 y[1] (numeric) = 150.4608440943198 absolute error = 3.600871423259377e-08 relative error = 2.393228247570057e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.71000012817497 y[1] (analytic) = 153.5004107173539 y[1] (numeric) = 153.5004106803058 absolute error = 3.704809614646365e-08 relative error = 2.413550294316912e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72000000017838 y[1] (analytic) = 156.6013009070714 y[1] (numeric) = 156.601300868964 absolute error = 3.810731641351595e-08 relative error = 2.433397180789014e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.73000012818179 y[1] (analytic) = 159.7649139015612 y[1] (numeric) = 159.7649138623755 absolute error = 3.91857497561432e-08 relative error = 2.452713101969773e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.7400000001852 y[1] (analytic) = 162.9923531754957 y[1] (numeric) = 162.9923531352085 absolute error = 4.028720468340907e-08 relative error = 2.471723605341864e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.75000012818861 y[1] (analytic) = 166.2850750331847 y[1] (numeric) = 166.2850749917741 absolute error = 4.141060117035522e-08 relative error = 2.4903378226874e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.76000000019202 y[1] (analytic) = 169.6442279827355 y[1] (numeric) = 169.6442279401803 absolute error = 4.255517183082702e-08 relative error = 2.50849512163525e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.77000012819543 y[1] (analytic) = 173.0713277610842 y[1] (numeric) = 173.0713277173603 absolute error = 4.372390094431466e-08 relative error = 2.526351505471386e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.78000000019884 y[1] (analytic) = 176.5675697476317 y[1] (numeric) = 176.5675697027168 absolute error = 4.491488425628631e-08 relative error = 2.543778810598301e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.79000012820225 y[1] (analytic) = 180.1345315374429 y[1] (numeric) = 180.1345314913121 absolute error = 4.613079340742843e-08 relative error = 2.560907840029531e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.80000000020566 y[1] (analytic) = 183.7734572940739 y[1] (numeric) = 183.7734572466986 absolute error = 4.737523795483867e-08 relative error = 2.577915149032045e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81000012820907 y[1] (analytic) = 187.4859889952077 y[1] (numeric) = 187.4859889465652 absolute error = 4.864259040004981e-08 relative error = 2.594465360357842e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.82000000021248 y[1] (analytic) = 191.2734215794824 y[1] (numeric) = 191.2734215295478 absolute error = 4.993461288904655e-08 relative error = 2.610640436956713e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.83000012821589 y[1] (analytic) = 195.1374640347137 y[1] (numeric) = 195.1374639834634 absolute error = 5.125033908370824e-08 relative error = 2.626371073193364e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.8400000002193 y[1] (analytic) = 199.0794641467999 y[1] (numeric) = 199.079464094204 absolute error = 5.259596491669072e-08 relative error = 2.641958332673971e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000128222711 y[1] (analytic) = 203.1012006484341 y[1] (numeric) = 203.1012005944706 absolute error = 5.396353230935347e-08 relative error = 2.656977513528526e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000226121 y[1] (analytic) = 207.2040763295205 y[1] (numeric) = 207.2040762741603 absolute error = 5.536020353247295e-08 relative error = 2.671771931959127e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000128229531 y[1] (analytic) = 211.3899425139809 y[1] (numeric) = 211.3899424571946 absolute error = 5.678634806827176e-08 relative error = 2.686331591415047e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000232941 y[1] (analytic) = 215.6602592404882 y[1] (numeric) = 215.6602591822439 absolute error = 5.824423965350434e-08 relative error = 2.700740500759332e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000128236351 y[1] (analytic) = 220.0169533867071 y[1] (numeric) = 220.0169533269772 absolute error = 5.972992767055985e-08 relative error = 2.714787508468817e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000239761 y[1] (analytic) = 224.4615445764518 y[1] (numeric) = 224.4615445152096 absolute error = 6.124218998593278e-08 relative error = 2.728404551500965e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000128243171 y[1] (analytic) = 228.9960383245455 y[1] (numeric) = 228.9960382617592 absolute error = 6.278625619415834e-08 relative error = 2.741805345347254e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000246581 y[1] (analytic) = 233.6220162716664 y[1] (numeric) = 233.6220162073023 absolute error = 6.436411581489665e-08 relative error = 2.755053519444465e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000128249991 y[1] (analytic) = 238.3415657790467 y[1] (numeric) = 238.3415657130762 absolute error = 6.597045398848422e-08 relative error = 2.767895468541219e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000253401 y[1] (analytic) = 243.1563330351923 y[1] (numeric) = 243.1563329675791 absolute error = 6.761314352843328e-08 relative error = 2.780644973727563e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000128256811 y[1] (analytic) = 248.0684905879674 y[1] (numeric) = 248.0684905186777 absolute error = 6.928971174602339e-08 relative error = 2.793168595567868e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000260221 y[1] (analytic) = 253.0797518079574 y[1] (numeric) = 253.079751736961 absolute error = 7.099632171048142e-08 relative error = 2.80529442609676e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000128263631 y[1] (analytic) = 258.1923779062001 y[1] (numeric) = 258.1923778334595 absolute error = 7.274059043993475e-08 relative error = 2.817302006737046e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000267041 y[1] (analytic) = 263.4081521771181 y[1] (numeric) = 263.4081521026013 absolute error = 7.451683359249728e-08 relative error = 2.828949407093197e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000128270451 y[1] (analytic) = 268.7294281133427 y[1] (numeric) = 268.72942803701 absolute error = 7.633275345142465e-08 relative error = 2.840505931461648e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 2.56e-07 NO POLE (given) for Equation 1 NO 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 ) = cosh ( 2.0 * x + 3.0 ) ; Iterations = 7421875 Total Elapsed Time = 1 Minutes 35.0 Seconds Elapsed Time(since restart) = 1 Minutes 35.0 Seconds Time to Timeout = 8 Minutes 25.0 Seconds Percent Done = 100 %