##############ECHO OF PROBLEM################# ##############temp/nonlinear2postode.ode################# diff ( y , x , 1 ) = y * y; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=0.0; x_end=0.2; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h=0.01; glob_look_poles=true; glob_max_iter=1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.001; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(2.0/(1.0 - 2.0*x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 0.2 estimated_steps = 200 step_error = 5e-13 est_needed_step_err = 5e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.34352079945728e-70 max_value3 = 1.34352079945728e-70 value3 = 1.34352079945728e-70 best_h = 0.001 START of Soultion x[1] = 0 y[1] (analytic) = 2 y[1] (numeric) = 2 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop x[1] = 0 y[1] (analytic) = 2 y[1] (numeric) = 2 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.5 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.001 y[1] (analytic) = 2.004008016032064 y[1] (numeric) = 2.004008016032064 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.499 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.002 y[1] (analytic) = 2.008032128514056 y[1] (numeric) = 2.008032128514056 absolute error = 4.440892098500626e-16 relative error = 2.211564265053312e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.498 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.003 y[1] (analytic) = 2.012072434607646 y[1] (numeric) = 2.012072434607646 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.497 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.004 y[1] (analytic) = 2.016129032258065 y[1] (numeric) = 2.016129032258065 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.496 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.005 y[1] (analytic) = 2.02020202020202 y[1] (numeric) = 2.02020202020202 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.495 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.006 y[1] (analytic) = 2.024291497975709 y[1] (numeric) = 2.024291497975709 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.494 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.007 y[1] (analytic) = 2.028397565922921 y[1] (numeric) = 2.028397565922921 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.493 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.008 y[1] (analytic) = 2.032520325203252 y[1] (numeric) = 2.032520325203252 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.492 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.009000000000000001 y[1] (analytic) = 2.036659877800407 y[1] (numeric) = 2.036659877800408 absolute error = 4.440892098500626e-16 relative error = 2.180478020363808e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.491 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01 y[1] (analytic) = 2.040816326530612 y[1] (numeric) = 2.040816326530613 absolute error = 4.440892098500626e-16 relative error = 2.176037128265307e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.49 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.011 y[1] (analytic) = 2.044989775051125 y[1] (numeric) = 2.044989775051125 absolute error = 4.440892098500626e-16 relative error = 2.171596236166806e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.489 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.012 y[1] (analytic) = 2.049180327868852 y[1] (numeric) = 2.049180327868853 absolute error = 4.440892098500626e-16 relative error = 2.167155344068306e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.488 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.013 y[1] (analytic) = 2.053388090349076 y[1] (numeric) = 2.053388090349076 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.487 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01400000000000001 y[1] (analytic) = 2.05761316872428 y[1] (numeric) = 2.05761316872428 absolute error = 4.440892098500626e-16 relative error = 2.158273559871304e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.486 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01500000000000001 y[1] (analytic) = 2.061855670103093 y[1] (numeric) = 2.061855670103093 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.485 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01600000000000001 y[1] (analytic) = 2.066115702479339 y[1] (numeric) = 2.066115702479339 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.484 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01700000000000001 y[1] (analytic) = 2.070393374741201 y[1] (numeric) = 2.070393374741201 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.483 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01800000000000001 y[1] (analytic) = 2.074688796680498 y[1] (numeric) = 2.074688796680498 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.482 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.01900000000000001 y[1] (analytic) = 2.079002079002079 y[1] (numeric) = 2.079002079002079 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.481 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000001 y[1] (analytic) = 2.083333333333333 y[1] (numeric) = 2.083333333333333 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.48 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02100000000000001 y[1] (analytic) = 2.087682672233821 y[1] (numeric) = 2.087682672233821 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 Real estimate of pole used Radius of convergence = 0.479 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02200000000000001 y[1] (analytic) = 2.092050209205021 y[1] (numeric) = 2.092050209205021 absolute error = 4.440892098500626e-16 relative error = 2.122746423083299e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.478 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02300000000000001 y[1] (analytic) = 2.09643605870021 y[1] (numeric) = 2.09643605870021 absolute error = 4.440892098500626e-16 relative error = 2.118305530984798e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.477 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02400000000000001 y[1] (analytic) = 2.100840336134454 y[1] (numeric) = 2.100840336134454 absolute error = 4.440892098500626e-16 relative error = 2.113864638886298e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.476 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02500000000000002 y[1] (analytic) = 2.105263157894737 y[1] (numeric) = 2.105263157894737 absolute error = 4.440892098500626e-16 relative error = 2.109423746787797e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.475 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02600000000000002 y[1] (analytic) = 2.109704641350211 y[1] (numeric) = 2.109704641350211 absolute error = 4.440892098500626e-16 relative error = 2.104982854689297e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.474 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02700000000000002 y[1] (analytic) = 2.114164904862579 y[1] (numeric) = 2.11416490486258 absolute error = 4.440892098500626e-16 relative error = 2.100541962590796e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.473 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02800000000000002 y[1] (analytic) = 2.11864406779661 y[1] (numeric) = 2.118644067796611 absolute error = 4.440892098500626e-16 relative error = 2.096101070492295e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.472 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.02900000000000002 y[1] (analytic) = 2.123142250530786 y[1] (numeric) = 2.123142250530786 absolute error = 4.440892098500626e-16 relative error = 2.091660178393795e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.471 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03000000000000002 y[1] (analytic) = 2.127659574468085 y[1] (numeric) = 2.127659574468086 absolute error = 4.440892098500626e-16 relative error = 2.087219286295294e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.47 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03100000000000002 y[1] (analytic) = 2.132196162046908 y[1] (numeric) = 2.132196162046909 absolute error = 4.440892098500626e-16 relative error = 2.082778394196794e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.469 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03200000000000002 y[1] (analytic) = 2.136752136752137 y[1] (numeric) = 2.136752136752137 absolute error = 4.440892098500626e-16 relative error = 2.078337502098293e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.468 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03300000000000002 y[1] (analytic) = 2.141327623126339 y[1] (numeric) = 2.141327623126339 absolute error = 4.440892098500626e-16 relative error = 2.073896609999792e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.467 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03400000000000002 y[1] (analytic) = 2.145922746781116 y[1] (numeric) = 2.145922746781117 absolute error = 4.440892098500626e-16 relative error = 2.069455717901292e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.466 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03500000000000002 y[1] (analytic) = 2.150537634408602 y[1] (numeric) = 2.150537634408603 absolute error = 4.440892098500626e-16 relative error = 2.065014825802791e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.465 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03600000000000003 y[1] (analytic) = 2.155172413793104 y[1] (numeric) = 2.155172413793104 absolute error = 4.440892098500626e-16 relative error = 2.06057393370429e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.464 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03700000000000003 y[1] (analytic) = 2.159827213822894 y[1] (numeric) = 2.159827213822895 absolute error = 4.440892098500626e-16 relative error = 2.05613304160579e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.463 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03800000000000003 y[1] (analytic) = 2.164502164502164 y[1] (numeric) = 2.164502164502165 absolute error = 8.881784197001252e-16 relative error = 4.103384299014579e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.462 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.03900000000000003 y[1] (analytic) = 2.169197396963124 y[1] (numeric) = 2.169197396963125 absolute error = 8.881784197001252e-16 relative error = 4.094502514817577e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.461 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000003 y[1] (analytic) = 2.173913043478261 y[1] (numeric) = 2.173913043478262 absolute error = 8.881784197001252e-16 relative error = 4.085620730620575e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.46 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04100000000000003 y[1] (analytic) = 2.178649237472767 y[1] (numeric) = 2.178649237472768 absolute error = 1.332267629550188e-15 relative error = 6.115108419635362e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.459 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04200000000000003 y[1] (analytic) = 2.183406113537118 y[1] (numeric) = 2.183406113537119 absolute error = 8.881784197001252e-16 relative error = 4.067857162226573e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.458 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04300000000000003 y[1] (analytic) = 2.188183807439825 y[1] (numeric) = 2.188183807439826 absolute error = 8.881784197001252e-16 relative error = 4.058975378029572e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.457 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04400000000000003 y[1] (analytic) = 2.192982456140351 y[1] (numeric) = 2.192982456140352 absolute error = 8.881784197001252e-16 relative error = 4.050093593832571e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.456 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04500000000000003 y[1] (analytic) = 2.197802197802198 y[1] (numeric) = 2.197802197802199 absolute error = 8.881784197001252e-16 relative error = 4.041211809635569e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.455 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04600000000000003 y[1] (analytic) = 2.202643171806168 y[1] (numeric) = 2.202643171806169 absolute error = 8.881784197001252e-16 relative error = 4.032330025438568e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.454 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04700000000000003 y[1] (analytic) = 2.207505518763797 y[1] (numeric) = 2.207505518763798 absolute error = 8.881784197001252e-16 relative error = 4.023448241241567e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.453 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04800000000000004 y[1] (analytic) = 2.212389380530974 y[1] (numeric) = 2.212389380530975 absolute error = 8.881784197001252e-16 relative error = 4.014566457044566e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.452 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.04900000000000004 y[1] (analytic) = 2.217294900221729 y[1] (numeric) = 2.217294900221731 absolute error = 1.332267629550188e-15 relative error = 6.008527009271348e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.451 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000004 y[1] (analytic) = 2.222222222222222 y[1] (numeric) = 2.222222222222224 absolute error = 1.332267629550188e-15 relative error = 5.995204332975845e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.45 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05100000000000004 y[1] (analytic) = 2.2271714922049 y[1] (numeric) = 2.227171492204901 absolute error = 8.881784197001252e-16 relative error = 3.987921104453562e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.449 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05200000000000004 y[1] (analytic) = 2.232142857142857 y[1] (numeric) = 2.232142857142859 absolute error = 1.332267629550188e-15 relative error = 5.968558980384842e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.448 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05300000000000004 y[1] (analytic) = 2.237136465324385 y[1] (numeric) = 2.237136465324386 absolute error = 1.332267629550188e-15 relative error = 5.955236304089339e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.447 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05400000000000004 y[1] (analytic) = 2.242152466367713 y[1] (numeric) = 2.242152466367715 absolute error = 1.332267629550188e-15 relative error = 5.941913627793837e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.446 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05500000000000004 y[1] (analytic) = 2.247191011235955 y[1] (numeric) = 2.247191011235957 absolute error = 1.332267629550188e-15 relative error = 5.928590951498336e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.445 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05600000000000004 y[1] (analytic) = 2.252252252252252 y[1] (numeric) = 2.252252252252254 absolute error = 1.332267629550188e-15 relative error = 5.915268275202834e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.444 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05700000000000004 y[1] (analytic) = 2.257336343115124 y[1] (numeric) = 2.257336343115126 absolute error = 1.332267629550188e-15 relative error = 5.901945598907331e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.443 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05800000000000004 y[1] (analytic) = 2.262443438914028 y[1] (numeric) = 2.262443438914028 absolute error = 8.881784197001252e-16 relative error = 3.925748615074553e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.442 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.05900000000000005 y[1] (analytic) = 2.267573696145125 y[1] (numeric) = 2.267573696145126 absolute error = 8.881784197001252e-16 relative error = 3.916866830877552e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.441 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000005 y[1] (analytic) = 2.272727272727273 y[1] (numeric) = 2.272727272727274 absolute error = 1.332267629550188e-15 relative error = 5.861977570020827e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.44 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06100000000000005 y[1] (analytic) = 2.277904328018224 y[1] (numeric) = 2.277904328018225 absolute error = 1.332267629550188e-15 relative error = 5.848654893725324e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.439 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06200000000000005 y[1] (analytic) = 2.28310502283105 y[1] (numeric) = 2.283105022831052 absolute error = 1.77635683940025e-15 relative error = 7.780442956573097e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.438 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06300000000000004 y[1] (analytic) = 2.288329519450801 y[1] (numeric) = 2.288329519450803 absolute error = 1.77635683940025e-15 relative error = 7.762679388179094e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.437 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06400000000000004 y[1] (analytic) = 2.293577981651376 y[1] (numeric) = 2.293577981651378 absolute error = 1.77635683940025e-15 relative error = 7.744915819785092e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.436 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06500000000000004 y[1] (analytic) = 2.298850574712644 y[1] (numeric) = 2.298850574712645 absolute error = 1.332267629550188e-15 relative error = 5.795364188543316e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.435 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06600000000000004 y[1] (analytic) = 2.304147465437788 y[1] (numeric) = 2.30414746543779 absolute error = 1.332267629550188e-15 relative error = 5.782041512247815e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.434 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06700000000000005 y[1] (analytic) = 2.309468822170901 y[1] (numeric) = 2.309468822170902 absolute error = 1.332267629550188e-15 relative error = 5.768718835952312e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.433 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06800000000000005 y[1] (analytic) = 2.314814814814815 y[1] (numeric) = 2.314814814814817 absolute error = 1.77635683940025e-15 relative error = 7.673861546209081e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.432 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.06900000000000005 y[1] (analytic) = 2.320185614849188 y[1] (numeric) = 2.32018561484919 absolute error = 1.332267629550188e-15 relative error = 5.742073483361309e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.431 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000005 y[1] (analytic) = 2.325581395348837 y[1] (numeric) = 2.325581395348839 absolute error = 1.77635683940025e-15 relative error = 7.638334409421077e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.43 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07100000000000005 y[1] (analytic) = 2.331002331002331 y[1] (numeric) = 2.331002331002333 absolute error = 1.77635683940025e-15 relative error = 7.620570841027074e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.429 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07200000000000005 y[1] (analytic) = 2.336448598130842 y[1] (numeric) = 2.336448598130843 absolute error = 1.332267629550188e-15 relative error = 5.702105454474803e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.428 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07300000000000005 y[1] (analytic) = 2.34192037470726 y[1] (numeric) = 2.341920374707262 absolute error = 1.332267629550188e-15 relative error = 5.688782778179301e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.427 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07400000000000005 y[1] (analytic) = 2.347417840375587 y[1] (numeric) = 2.347417840375589 absolute error = 1.77635683940025e-15 relative error = 7.567280135845066e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.426 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07500000000000005 y[1] (analytic) = 2.352941176470588 y[1] (numeric) = 2.35294117647059 absolute error = 1.77635683940025e-15 relative error = 7.549516567451064e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.425 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07600000000000005 y[1] (analytic) = 2.358490566037736 y[1] (numeric) = 2.358490566037738 absolute error = 1.77635683940025e-15 relative error = 7.531752999057062e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.424 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07700000000000005 y[1] (analytic) = 2.364066193853428 y[1] (numeric) = 2.36406619385343 absolute error = 1.77635683940025e-15 relative error = 7.513989430663059e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.423 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07800000000000006 y[1] (analytic) = 2.369668246445498 y[1] (numeric) = 2.3696682464455 absolute error = 1.77635683940025e-15 relative error = 7.496225862269055e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.422 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.07900000000000006 y[1] (analytic) = 2.375296912114015 y[1] (numeric) = 2.375296912114016 absolute error = 1.77635683940025e-15 relative error = 7.478462293875053e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.421 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08000000000000006 y[1] (analytic) = 2.380952380952381 y[1] (numeric) = 2.380952380952383 absolute error = 1.77635683940025e-15 relative error = 7.460698725481051e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.42 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08100000000000006 y[1] (analytic) = 2.386634844868735 y[1] (numeric) = 2.386634844868737 absolute error = 1.77635683940025e-15 relative error = 7.442935157087049e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.419 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08200000000000006 y[1] (analytic) = 2.392344497607656 y[1] (numeric) = 2.392344497607657 absolute error = 1.332267629550188e-15 relative error = 5.568878691519784e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.418 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08300000000000006 y[1] (analytic) = 2.398081534772182 y[1] (numeric) = 2.398081534772184 absolute error = 1.77635683940025e-15 relative error = 7.407408020299044e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.417 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08400000000000006 y[1] (analytic) = 2.403846153846154 y[1] (numeric) = 2.403846153846156 absolute error = 1.77635683940025e-15 relative error = 7.389644451905041e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.416 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08500000000000006 y[1] (analytic) = 2.409638554216868 y[1] (numeric) = 2.409638554216869 absolute error = 1.77635683940025e-15 relative error = 7.371880883511038e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.415 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08600000000000006 y[1] (analytic) = 2.415458937198068 y[1] (numeric) = 2.415458937198069 absolute error = 1.332267629550188e-15 relative error = 5.515587986337777e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.414 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08700000000000006 y[1] (analytic) = 2.421307506053269 y[1] (numeric) = 2.42130750605327 absolute error = 1.332267629550188e-15 relative error = 5.502265310042275e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.413 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08800000000000006 y[1] (analytic) = 2.427184466019418 y[1] (numeric) = 2.427184466019419 absolute error = 1.332267629550188e-15 relative error = 5.488942633746773e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.412 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.08900000000000007 y[1] (analytic) = 2.433090024330901 y[1] (numeric) = 2.433090024330902 absolute error = 8.881784197001252e-16 relative error = 3.650413304967514e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.411 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09000000000000007 y[1] (analytic) = 2.439024390243903 y[1] (numeric) = 2.439024390243904 absolute error = 8.881784197001252e-16 relative error = 3.641531520770513e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.41 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09100000000000007 y[1] (analytic) = 2.444987775061125 y[1] (numeric) = 2.444987775061126 absolute error = 8.881784197001252e-16 relative error = 3.632649736573511e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.409 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09200000000000007 y[1] (analytic) = 2.450980392156863 y[1] (numeric) = 2.450980392156864 absolute error = 8.881784197001252e-16 relative error = 3.62376795237651e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.408 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09300000000000007 y[1] (analytic) = 2.457002457002457 y[1] (numeric) = 2.457002457002459 absolute error = 1.332267629550188e-15 relative error = 5.422329252269264e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.407 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09400000000000007 y[1] (analytic) = 2.463054187192119 y[1] (numeric) = 2.46305418719212 absolute error = 1.332267629550188e-15 relative error = 5.409006575973761e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.406 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09500000000000007 y[1] (analytic) = 2.469135802469136 y[1] (numeric) = 2.469135802469138 absolute error = 1.77635683940025e-15 relative error = 7.194245199571013e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.405 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09600000000000007 y[1] (analytic) = 2.475247524752476 y[1] (numeric) = 2.475247524752477 absolute error = 1.77635683940025e-15 relative error = 7.17648163117701e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.404 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09700000000000007 y[1] (analytic) = 2.481389578163772 y[1] (numeric) = 2.481389578163774 absolute error = 1.77635683940025e-15 relative error = 7.158718062783009e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.403 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09800000000000007 y[1] (analytic) = 2.487562189054727 y[1] (numeric) = 2.487562189054728 absolute error = 1.332267629550188e-15 relative error = 5.355715870791754e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.402 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.09900000000000007 y[1] (analytic) = 2.493765586034913 y[1] (numeric) = 2.493765586034915 absolute error = 1.332267629550188e-15 relative error = 5.342393194496252e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.401 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1000000000000001 y[1] (analytic) = 2.5 y[1] (numeric) = 2.500000000000002 absolute error = 1.332267629550188e-15 relative error = 5.32907051820075e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.4 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1010000000000001 y[1] (analytic) = 2.506265664160401 y[1] (numeric) = 2.506265664160403 absolute error = 1.332267629550188e-15 relative error = 5.315747841905249e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.399 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1020000000000001 y[1] (analytic) = 2.512562814070352 y[1] (numeric) = 2.512562814070353 absolute error = 8.881784197001252e-16 relative error = 3.534950110406498e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.398 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1030000000000001 y[1] (analytic) = 2.518891687657431 y[1] (numeric) = 2.518891687657432 absolute error = 8.881784197001252e-16 relative error = 3.526068326209496e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.397 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1040000000000001 y[1] (analytic) = 2.525252525252526 y[1] (numeric) = 2.525252525252527 absolute error = 8.881784197001252e-16 relative error = 3.517186542012495e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.396 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1050000000000001 y[1] (analytic) = 2.531645569620254 y[1] (numeric) = 2.531645569620255 absolute error = 8.881784197001252e-16 relative error = 3.508304757815494e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.395 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1060000000000001 y[1] (analytic) = 2.538071065989848 y[1] (numeric) = 2.538071065989849 absolute error = 8.881784197001252e-16 relative error = 3.499422973618493e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.394 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1070000000000001 y[1] (analytic) = 2.544529262086515 y[1] (numeric) = 2.544529262086515 absolute error = 8.881784197001252e-16 relative error = 3.490541189421491e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.393 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1080000000000001 y[1] (analytic) = 2.551020408163266 y[1] (numeric) = 2.551020408163267 absolute error = 8.881784197001252e-16 relative error = 3.481659405224491e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.392 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1090000000000001 y[1] (analytic) = 2.557544757033249 y[1] (numeric) = 2.557544757033249 absolute error = 8.881784197001252e-16 relative error = 3.472777621027489e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.391 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1100000000000001 y[1] (analytic) = 2.564102564102565 y[1] (numeric) = 2.564102564102566 absolute error = 8.881784197001252e-16 relative error = 3.463895836830488e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.39 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1110000000000001 y[1] (analytic) = 2.5706940874036 y[1] (numeric) = 2.5706940874036 absolute error = 8.881784197001252e-16 relative error = 3.455014052633486e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.389 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1120000000000001 y[1] (analytic) = 2.577319587628867 y[1] (numeric) = 2.577319587628867 absolute error = 8.881784197001252e-16 relative error = 3.446132268436485e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.388 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1130000000000001 y[1] (analytic) = 2.583979328165375 y[1] (numeric) = 2.583979328165376 absolute error = 8.881784197001252e-16 relative error = 3.437250484239484e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.387 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1140000000000001 y[1] (analytic) = 2.590673575129534 y[1] (numeric) = 2.590673575129535 absolute error = 4.440892098500626e-16 relative error = 1.714184350021241e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.386 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1150000000000001 y[1] (analytic) = 2.597402597402598 y[1] (numeric) = 2.597402597402599 absolute error = 8.881784197001252e-16 relative error = 3.419486915845482e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.385 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1160000000000001 y[1] (analytic) = 2.604166666666667 y[1] (numeric) = 2.604166666666668 absolute error = 4.440892098500626e-16 relative error = 1.70530256582424e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.384 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1170000000000001 y[1] (analytic) = 2.610966057441254 y[1] (numeric) = 2.610966057441254 absolute error = 4.440892098500626e-16 relative error = 1.700861673725739e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.383 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1180000000000001 y[1] (analytic) = 2.61780104712042 y[1] (numeric) = 2.61780104712042 absolute error = 4.440892098500626e-16 relative error = 1.696420781627239e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.382 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1190000000000001 y[1] (analytic) = 2.624671916010499 y[1] (numeric) = 2.6246719160105 absolute error = 8.881784197001252e-16 relative error = 3.383959779057477e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.381 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000001 y[1] (analytic) = 2.631578947368422 y[1] (numeric) = 2.631578947368423 absolute error = 8.881784197001252e-16 relative error = 3.375077994860475e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.38 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1210000000000001 y[1] (analytic) = 2.638522427440634 y[1] (numeric) = 2.638522427440635 absolute error = 8.881784197001252e-16 relative error = 3.366196210663474e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.379 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1220000000000001 y[1] (analytic) = 2.645502645502646 y[1] (numeric) = 2.645502645502647 absolute error = 1.332267629550188e-15 relative error = 5.035971639699709e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.378 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1230000000000001 y[1] (analytic) = 2.652519893899205 y[1] (numeric) = 2.652519893899206 absolute error = 1.332267629550188e-15 relative error = 5.022648963404207e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.377 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1240000000000001 y[1] (analytic) = 2.659574468085107 y[1] (numeric) = 2.659574468085108 absolute error = 8.881784197001252e-16 relative error = 3.33955085807247e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.376 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1250000000000001 y[1] (analytic) = 2.666666666666667 y[1] (numeric) = 2.666666666666668 absolute error = 8.881784197001252e-16 relative error = 3.330669073875469e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.375 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1260000000000001 y[1] (analytic) = 2.673796791443851 y[1] (numeric) = 2.673796791443852 absolute error = 1.332267629550188e-15 relative error = 4.982680934517701e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.374 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1270000000000001 y[1] (analytic) = 2.680965147453084 y[1] (numeric) = 2.680965147453085 absolute error = 1.332267629550188e-15 relative error = 4.9693582582222e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.373 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1280000000000001 y[1] (analytic) = 2.688172043010753 y[1] (numeric) = 2.688172043010754 absolute error = 8.881784197001252e-16 relative error = 3.304023721284465e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.372 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1290000000000001 y[1] (analytic) = 2.695417789757413 y[1] (numeric) = 2.695417789757414 absolute error = 8.881784197001252e-16 relative error = 3.295141937087463e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.371 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000001 y[1] (analytic) = 2.702702702702704 y[1] (numeric) = 2.702702702702704 absolute error = 8.881784197001252e-16 relative error = 3.286260152890462e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.37 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1310000000000001 y[1] (analytic) = 2.710027100271003 y[1] (numeric) = 2.710027100271005 absolute error = 1.332267629550188e-15 relative error = 4.916067553040192e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.369 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1320000000000001 y[1] (analytic) = 2.717391304347827 y[1] (numeric) = 2.717391304347828 absolute error = 1.332267629550188e-15 relative error = 4.90274487674469e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.368 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1330000000000001 y[1] (analytic) = 2.724795640326976 y[1] (numeric) = 2.724795640326978 absolute error = 1.332267629550188e-15 relative error = 4.889422200449188e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.367 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1340000000000001 y[1] (analytic) = 2.732240437158471 y[1] (numeric) = 2.732240437158472 absolute error = 1.332267629550188e-15 relative error = 4.876099524153686e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.366 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1350000000000001 y[1] (analytic) = 2.739726027397261 y[1] (numeric) = 2.739726027397262 absolute error = 1.332267629550188e-15 relative error = 4.862776847858184e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.365 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1360000000000001 y[1] (analytic) = 2.747252747252748 y[1] (numeric) = 2.747252747252749 absolute error = 1.332267629550188e-15 relative error = 4.849454171562682e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.364 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1370000000000001 y[1] (analytic) = 2.754820936639119 y[1] (numeric) = 2.754820936639121 absolute error = 1.332267629550188e-15 relative error = 4.836131495267181e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.363 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1380000000000001 y[1] (analytic) = 2.76243093922652 y[1] (numeric) = 2.762430939226522 absolute error = 1.332267629550188e-15 relative error = 4.822808818971678e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.362 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1390000000000001 y[1] (analytic) = 2.770083102493075 y[1] (numeric) = 2.770083102493077 absolute error = 1.77635683940025e-15 relative error = 6.412648190234903e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.361 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000001 y[1] (analytic) = 2.777777777777779 y[1] (numeric) = 2.77777777777778 absolute error = 1.77635683940025e-15 relative error = 6.3948846218409e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.36 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1410000000000001 y[1] (analytic) = 2.785515320334262 y[1] (numeric) = 2.785515320334265 absolute error = 2.220446049250313e-15 relative error = 7.971401316808623e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.359 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1420000000000001 y[1] (analytic) = 2.793296089385476 y[1] (numeric) = 2.793296089385477 absolute error = 1.77635683940025e-15 relative error = 6.359357485052895e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.358 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1430000000000001 y[1] (analytic) = 2.801120448179272 y[1] (numeric) = 2.801120448179274 absolute error = 1.77635683940025e-15 relative error = 6.341593916658892e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.357 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1440000000000001 y[1] (analytic) = 2.808988764044944 y[1] (numeric) = 2.808988764044946 absolute error = 1.77635683940025e-15 relative error = 6.323830348264891e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.356 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1450000000000001 y[1] (analytic) = 2.816901408450705 y[1] (numeric) = 2.816901408450707 absolute error = 1.77635683940025e-15 relative error = 6.306066779870888e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.355 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1460000000000001 y[1] (analytic) = 2.824858757062148 y[1] (numeric) = 2.824858757062149 absolute error = 1.77635683940025e-15 relative error = 6.288303211476885e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.354 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1470000000000001 y[1] (analytic) = 2.8328611898017 y[1] (numeric) = 2.832861189801702 absolute error = 1.77635683940025e-15 relative error = 6.270539643082882e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.353 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1480000000000001 y[1] (analytic) = 2.840909090909092 y[1] (numeric) = 2.840909090909093 absolute error = 1.77635683940025e-15 relative error = 6.25277607468888e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.352 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1490000000000001 y[1] (analytic) = 2.84900284900285 y[1] (numeric) = 2.849002849002852 absolute error = 1.77635683940025e-15 relative error = 6.235012506294877e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.351 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000001 y[1] (analytic) = 2.857142857142858 y[1] (numeric) = 2.85714285714286 absolute error = 1.77635683940025e-15 relative error = 6.217248937900874e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.35 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1510000000000001 y[1] (analytic) = 2.865329512893984 y[1] (numeric) = 2.865329512893986 absolute error = 1.77635683940025e-15 relative error = 6.199485369506873e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.349 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1520000000000001 y[1] (analytic) = 2.873563218390805 y[1] (numeric) = 2.873563218390808 absolute error = 2.220446049250313e-15 relative error = 7.727152251391087e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.348 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1530000000000001 y[1] (analytic) = 2.881844380403459 y[1] (numeric) = 2.881844380403461 absolute error = 2.220446049250313e-15 relative error = 7.704947790898584e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.347 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1540000000000001 y[1] (analytic) = 2.890173410404625 y[1] (numeric) = 2.890173410404627 absolute error = 2.220446049250313e-15 relative error = 7.682743330406081e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.346 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1550000000000001 y[1] (analytic) = 2.898550724637682 y[1] (numeric) = 2.898550724637684 absolute error = 2.220446049250313e-15 relative error = 7.660538869913578e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.345 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1560000000000001 y[1] (analytic) = 2.906976744186047 y[1] (numeric) = 2.906976744186049 absolute error = 2.220446049250313e-15 relative error = 7.638334409421074e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.344 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1570000000000001 y[1] (analytic) = 2.915451895043733 y[1] (numeric) = 2.915451895043735 absolute error = 1.77635683940025e-15 relative error = 6.092903959142857e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.343 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1580000000000001 y[1] (analytic) = 2.923976608187135 y[1] (numeric) = 2.923976608187137 absolute error = 1.77635683940025e-15 relative error = 6.075140390748855e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.342 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1590000000000001 y[1] (analytic) = 2.932551319648095 y[1] (numeric) = 2.932551319648097 absolute error = 1.77635683940025e-15 relative error = 6.057376822354852e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.341 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (analytic) = 2.941176470588236 y[1] (numeric) = 2.941176470588238 absolute error = 1.77635683940025e-15 relative error = 6.039613253960849e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.34 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1610000000000001 y[1] (analytic) = 2.949852507374632 y[1] (numeric) = 2.949852507374634 absolute error = 1.77635683940025e-15 relative error = 6.021849685566846e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.339 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1620000000000001 y[1] (analytic) = 2.958579881656806 y[1] (numeric) = 2.958579881656808 absolute error = 2.220446049250313e-15 relative error = 7.505107646466056e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.338 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1630000000000001 y[1] (analytic) = 2.967359050445105 y[1] (numeric) = 2.967359050445107 absolute error = 1.77635683940025e-15 relative error = 5.986322548778842e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.337 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1640000000000001 y[1] (analytic) = 2.976190476190477 y[1] (numeric) = 2.976190476190479 absolute error = 2.220446049250313e-15 relative error = 7.460698725481049e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.336 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1650000000000001 y[1] (analytic) = 2.985074626865673 y[1] (numeric) = 2.985074626865675 absolute error = 2.220446049250313e-15 relative error = 7.438494264988546e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.335 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1660000000000001 y[1] (analytic) = 2.994011976047905 y[1] (numeric) = 2.994011976047907 absolute error = 2.220446049250313e-15 relative error = 7.416289804496043e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.334 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1670000000000001 y[1] (analytic) = 3.003003003003004 y[1] (numeric) = 3.003003003003006 absolute error = 2.220446049250313e-15 relative error = 7.39408534400354e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.333 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1680000000000001 y[1] (analytic) = 3.012048192771085 y[1] (numeric) = 3.012048192771088 absolute error = 2.220446049250313e-15 relative error = 7.371880883511037e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.332 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1690000000000001 y[1] (analytic) = 3.021148036253777 y[1] (numeric) = 3.02114803625378 absolute error = 2.220446049250313e-15 relative error = 7.349676423018534e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.331 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (analytic) = 3.030303030303032 y[1] (numeric) = 3.030303030303033 absolute error = 1.77635683940025e-15 relative error = 5.861977570020824e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.33 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1710000000000001 y[1] (analytic) = 3.039513677811551 y[1] (numeric) = 3.039513677811553 absolute error = 2.220446049250313e-15 relative error = 7.305267502033528e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.329 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1720000000000001 y[1] (analytic) = 3.048780487804879 y[1] (numeric) = 3.048780487804881 absolute error = 1.77635683940025e-15 relative error = 5.826450433232818e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.328 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1730000000000001 y[1] (analytic) = 3.05810397553517 y[1] (numeric) = 3.058103975535171 absolute error = 1.77635683940025e-15 relative error = 5.808686864838817e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.327 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1740000000000001 y[1] (analytic) = 3.067484662576689 y[1] (numeric) = 3.06748466257669 absolute error = 1.77635683940025e-15 relative error = 5.790923296444814e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.326 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1750000000000001 y[1] (analytic) = 3.076923076923078 y[1] (numeric) = 3.07692307692308 absolute error = 2.220446049250313e-15 relative error = 7.216449660063515e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.325 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1760000000000001 y[1] (analytic) = 3.086419753086421 y[1] (numeric) = 3.086419753086423 absolute error = 2.220446049250313e-15 relative error = 7.194245199571012e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.324 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1770000000000001 y[1] (analytic) = 3.095975232198144 y[1] (numeric) = 3.095975232198146 absolute error = 2.220446049250313e-15 relative error = 7.172040739078509e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.323 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1780000000000001 y[1] (analytic) = 3.105590062111803 y[1] (numeric) = 3.105590062111804 absolute error = 1.77635683940025e-15 relative error = 5.719869022868804e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.322 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1790000000000001 y[1] (analytic) = 3.115264797507789 y[1] (numeric) = 3.115264797507791 absolute error = 1.77635683940025e-15 relative error = 5.702105454474802e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.321 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (analytic) = 3.125000000000001 y[1] (numeric) = 3.125000000000003 absolute error = 1.77635683940025e-15 relative error = 5.684341886080799e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.32 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1810000000000001 y[1] (analytic) = 3.134796238244515 y[1] (numeric) = 3.134796238244517 absolute error = 1.77635683940025e-15 relative error = 5.666578317686797e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.319 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1820000000000001 y[1] (analytic) = 3.144654088050316 y[1] (numeric) = 3.144654088050317 absolute error = 1.332267629550188e-15 relative error = 4.236611061969595e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.318 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1830000000000001 y[1] (analytic) = 3.154574132492115 y[1] (numeric) = 3.154574132492117 absolute error = 1.77635683940025e-15 relative error = 5.631051180898792e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.317 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1840000000000001 y[1] (analytic) = 3.164556962025318 y[1] (numeric) = 3.16455696202532 absolute error = 1.77635683940025e-15 relative error = 5.613287612504789e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.316 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1850000000000001 y[1] (analytic) = 3.174603174603176 y[1] (numeric) = 3.174603174603178 absolute error = 1.77635683940025e-15 relative error = 5.595524044110787e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.315 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1860000000000001 y[1] (analytic) = 3.18471337579618 y[1] (numeric) = 3.184713375796181 absolute error = 1.332267629550188e-15 relative error = 4.183320356787588e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.314 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1870000000000001 y[1] (analytic) = 3.19488817891374 y[1] (numeric) = 3.194888178913741 absolute error = 1.332267629550188e-15 relative error = 4.169997680492086e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.313 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1880000000000001 y[1] (analytic) = 3.205128205128207 y[1] (numeric) = 3.205128205128208 absolute error = 1.332267629550188e-15 relative error = 4.156675004196584e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.312 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1890000000000001 y[1] (analytic) = 3.215434083601288 y[1] (numeric) = 3.215434083601289 absolute error = 1.332267629550188e-15 relative error = 4.143352327901082e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.311 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 3.225806451612905 y[1] (numeric) = 3.225806451612906 absolute error = 1.332267629550188e-15 relative error = 4.13002965160558e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.31 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1910000000000001 y[1] (analytic) = 3.236245954692558 y[1] (numeric) = 3.236245954692559 absolute error = 1.332267629550188e-15 relative error = 4.116706975310079e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.309 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1920000000000001 y[1] (analytic) = 3.246753246753248 y[1] (numeric) = 3.24675324675325 absolute error = 1.77635683940025e-15 relative error = 5.471179065352769e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.308 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1930000000000001 y[1] (analytic) = 3.257328990228014 y[1] (numeric) = 3.257328990228016 absolute error = 1.77635683940025e-15 relative error = 5.453415496958766e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.307 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1940000000000001 y[1] (analytic) = 3.267973856209152 y[1] (numeric) = 3.267973856209153 absolute error = 1.332267629550188e-15 relative error = 4.076738946423573e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.306 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1950000000000001 y[1] (analytic) = 3.278688524590165 y[1] (numeric) = 3.278688524590167 absolute error = 1.77635683940025e-15 relative error = 5.417888360170761e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.305 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1960000000000001 y[1] (analytic) = 3.289473684210528 y[1] (numeric) = 3.28947368421053 absolute error = 1.77635683940025e-15 relative error = 5.400124791776759e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.304 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1970000000000001 y[1] (analytic) = 3.300330033003302 y[1] (numeric) = 3.300330033003304 absolute error = 1.77635683940025e-15 relative error = 5.382361223382756e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.303 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1980000000000001 y[1] (analytic) = 3.311258278145697 y[1] (numeric) = 3.311258278145699 absolute error = 1.77635683940025e-15 relative error = 5.364597654988754e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.302 Order of pole = 1 TOP MAIN SOLVE Loop x[1] = 0.1990000000000001 y[1] (analytic) = 3.322259136212626 y[1] (numeric) = 3.322259136212628 absolute error = 1.77635683940025e-15 relative error = 5.346834086594751e-14 % Correct digits = 15 h = 0.001 Real estimate of pole used Radius of convergence = 0.301 Order of pole = 1 Finished! diff ( y , x , 1 ) = y * y; Iterations = 200 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.5 %