##############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; // 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 = 6.264916691384787e-39 max_value3 = 6.264916691384787e-39 value3 = 6.264916691384787e-39 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 NO POLE x[1] = 0.001 y[1] (analytic) = 2.004008016032064 y[1] (numeric) = 2.004008016032069 absolute error = 4.884981308350689e-15 relative error = 2.437605672866994e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.002 y[1] (analytic) = 2.008032128514056 y[1] (numeric) = 2.008032128514066 absolute error = 9.325873406851315e-15 relative error = 4.644284956611955e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.003 y[1] (analytic) = 2.012072434607646 y[1] (numeric) = 2.01207243460766 absolute error = 1.4210854715202e-14 relative error = 7.062794793455396e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.004 y[1] (analytic) = 2.016129032258065 y[1] (numeric) = 2.016129032258084 absolute error = 1.909583602355269e-14 relative error = 9.471534667682136e-13 % Correct digits = 14 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.005 y[1] (analytic) = 2.02020202020202 y[1] (numeric) = 2.020202020202044 absolute error = 2.398081733190338e-14 relative error = 1.187050457929217e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.006 y[1] (analytic) = 2.024291497975709 y[1] (numeric) = 2.024291497975738 absolute error = 2.930988785010413e-14 relative error = 1.447908459795144e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.007 y[1] (analytic) = 2.028397565922921 y[1] (numeric) = 2.028397565922955 absolute error = 3.419486915845482e-14 relative error = 1.685807049511823e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.008 y[1] (analytic) = 2.032520325203252 y[1] (numeric) = 2.032520325203292 absolute error = 3.952393967665557e-14 relative error = 1.944577832091454e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.009000000000000001 y[1] (analytic) = 2.036659877800407 y[1] (numeric) = 2.036659877800453 absolute error = 4.529709940470639e-14 relative error = 2.224087580771084e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01 y[1] (analytic) = 2.040816326530612 y[1] (numeric) = 2.040816326530663 absolute error = 5.062616992290714e-14 relative error = 2.48068232622245e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.011 y[1] (analytic) = 2.044989775051125 y[1] (numeric) = 2.044989775051181 absolute error = 5.595524044110789e-14 relative error = 2.736211257570176e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.012 y[1] (analytic) = 2.049180327868852 y[1] (numeric) = 2.049180327868914 absolute error = 6.17284001691587e-14 relative error = 3.012345928254945e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.013 y[1] (analytic) = 2.053388090349076 y[1] (numeric) = 2.053388090349143 absolute error = 6.705747068735946e-14 relative error = 3.265698822474405e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01400000000000001 y[1] (analytic) = 2.05761316872428 y[1] (numeric) = 2.057613168724353 absolute error = 7.327471962526033e-14 relative error = 3.561151373787652e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01500000000000001 y[1] (analytic) = 2.061855670103093 y[1] (numeric) = 2.061855670103172 absolute error = 7.904787935331115e-14 relative error = 3.83382214863559e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01600000000000001 y[1] (analytic) = 2.066115702479339 y[1] (numeric) = 2.066115702479424 absolute error = 8.526512829121202e-14 relative error = 4.126832209294662e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01700000000000001 y[1] (analytic) = 2.070393374741201 y[1] (numeric) = 2.070393374741292 absolute error = 9.14823772291129e-14 relative error = 4.418598820166153e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01800000000000001 y[1] (analytic) = 2.074688796680498 y[1] (numeric) = 2.074688796680596 absolute error = 9.769962616701378e-14 relative error = 4.709121981250063e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.01900000000000001 y[1] (analytic) = 2.079002079002079 y[1] (numeric) = 2.079002079002183 absolute error = 1.043609643147647e-13 relative error = 5.019762383540183e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02000000000000001 y[1] (analytic) = 2.083333333333333 y[1] (numeric) = 2.083333333333445 absolute error = 1.110223024625157e-13 relative error = 5.329070518200751e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02100000000000001 y[1] (analytic) = 2.087682672233821 y[1] (numeric) = 2.087682672233938 absolute error = 1.176836406102666e-13 relative error = 5.637046385231769e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02200000000000001 y[1] (analytic) = 2.092050209205021 y[1] (numeric) = 2.092050209205146 absolute error = 1.247890679678676e-13 relative error = 5.964917448864072e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02300000000000001 y[1] (analytic) = 2.09643605870021 y[1] (numeric) = 2.096436058700341 absolute error = 1.314504061156185e-13 relative error = 6.270184371715004e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02400000000000001 y[1] (analytic) = 2.100840336134454 y[1] (numeric) = 2.100840336134592 absolute error = 1.385558334732195e-13 relative error = 6.595257673325249e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02500000000000002 y[1] (analytic) = 2.105263157894737 y[1] (numeric) = 2.105263157894882 absolute error = 1.456612608308205e-13 relative error = 6.918909889463976e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02600000000000002 y[1] (analytic) = 2.109704641350211 y[1] (numeric) = 2.109704641350364 absolute error = 1.527666881884215e-13 relative error = 7.241141020131181e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02700000000000002 y[1] (analytic) = 2.114164904862579 y[1] (numeric) = 2.11416490486274 absolute error = 1.603162047558726e-13 relative error = 7.582956484952774e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02800000000000002 y[1] (analytic) = 2.11864406779661 y[1] (numeric) = 2.118644067796778 absolute error = 1.678657213233237e-13 relative error = 7.923262046460877e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.02900000000000002 y[1] (analytic) = 2.123142250530786 y[1] (numeric) = 2.123142250530961 absolute error = 1.758593271006248e-13 relative error = 8.282974306439427e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03000000000000002 y[1] (analytic) = 2.127659574468085 y[1] (numeric) = 2.127659574468269 absolute error = 1.838529328779259e-13 relative error = 8.641087845262518e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03100000000000002 y[1] (analytic) = 2.132196162046908 y[1] (numeric) = 2.1321961620471 absolute error = 1.918465386552271e-13 relative error = 8.997602662930148e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03200000000000002 y[1] (analytic) = 2.136752136752137 y[1] (numeric) = 2.136752136752337 absolute error = 1.998401444325282e-13 relative error = 9.352518759442319e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03300000000000002 y[1] (analytic) = 2.141327623126339 y[1] (numeric) = 2.141327623126546 absolute error = 2.078337502098293e-13 relative error = 9.705836134799028e-12 % Correct digits = 13 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03400000000000002 y[1] (analytic) = 2.145922746781116 y[1] (numeric) = 2.145922746781332 absolute error = 2.162714451969805e-13 relative error = 1.007824934617929e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03500000000000002 y[1] (analytic) = 2.150537634408602 y[1] (numeric) = 2.150537634408827 absolute error = 2.247091401841317e-13 relative error = 1.044897501856212e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03600000000000003 y[1] (analytic) = 2.155172413793104 y[1] (numeric) = 2.155172413793337 absolute error = 2.335909243811329e-13 relative error = 1.083861889128457e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03700000000000003 y[1] (analytic) = 2.159827213822894 y[1] (numeric) = 2.159827213823137 absolute error = 2.424727085781342e-13 relative error = 1.122648640716761e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03800000000000003 y[1] (analytic) = 2.164502164502164 y[1] (numeric) = 2.164502164502416 absolute error = 2.517985819849855e-13 relative error = 1.163309448770633e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.03900000000000003 y[1] (analytic) = 2.169197396963124 y[1] (numeric) = 2.169197396963384 absolute error = 2.606803661819868e-13 relative error = 1.201736488098959e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04000000000000003 y[1] (analytic) = 2.173913043478261 y[1] (numeric) = 2.173913043478531 absolute error = 2.69562150378988e-13 relative error = 1.239985891743345e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04100000000000003 y[1] (analytic) = 2.178649237472767 y[1] (numeric) = 2.178649237473046 absolute error = 2.793321129956894e-13 relative error = 1.282134398650214e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04200000000000003 y[1] (analytic) = 2.183406113537118 y[1] (numeric) = 2.183406113537407 absolute error = 2.886579864025407e-13 relative error = 1.322053577723636e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04300000000000003 y[1] (analytic) = 2.188183807439825 y[1] (numeric) = 2.188183807440124 absolute error = 2.984279490192421e-13 relative error = 1.363815727017936e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04400000000000003 y[1] (analytic) = 2.192982456140351 y[1] (numeric) = 2.19298245614066 absolute error = 3.086420008457935e-13 relative error = 1.407407523856818e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04500000000000003 y[1] (analytic) = 2.197802197802198 y[1] (numeric) = 2.197802197802517 absolute error = 3.18856052672345e-13 relative error = 1.450795039659169e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04600000000000003 y[1] (analytic) = 2.202643171806168 y[1] (numeric) = 2.202643171806497 absolute error = 3.290701044988964e-13 relative error = 1.493978274424989e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04700000000000003 y[1] (analytic) = 2.207505518763797 y[1] (numeric) = 2.207505518764137 absolute error = 3.397282455352979e-13 relative error = 1.538968952274899e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04800000000000004 y[1] (analytic) = 2.212389380530974 y[1] (numeric) = 2.212389380531324 absolute error = 3.503863865716994e-13 relative error = 1.583746467304081e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.04900000000000004 y[1] (analytic) = 2.217294900221729 y[1] (numeric) = 2.217294900222091 absolute error = 3.61488616817951e-13 relative error = 1.630313661848959e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05000000000000004 y[1] (analytic) = 2.222222222222222 y[1] (numeric) = 2.222222222222595 absolute error = 3.725908470642025e-13 relative error = 1.676658811788911e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05100000000000004 y[1] (analytic) = 2.2271714922049 y[1] (numeric) = 2.227171492205284 absolute error = 3.836930773104541e-13 relative error = 1.722781917123939e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05200000000000004 y[1] (analytic) = 2.232142857142857 y[1] (numeric) = 2.232142857143253 absolute error = 3.956834859764058e-13 relative error = 1.772662017174298e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05300000000000004 y[1] (analytic) = 2.237136465324385 y[1] (numeric) = 2.237136465324792 absolute error = 4.076738946423575e-13 relative error = 1.822302309051338e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05400000000000004 y[1] (analytic) = 2.242152466367713 y[1] (numeric) = 2.242152466368133 absolute error = 4.196643033083092e-13 relative error = 1.871702792755059e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05500000000000004 y[1] (analytic) = 2.247191011235955 y[1] (numeric) = 2.247191011236387 absolute error = 4.320988011841109e-13 relative error = 1.922839665269294e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05600000000000004 y[1] (analytic) = 2.252252252252252 y[1] (numeric) = 2.252252252252697 absolute error = 4.445332990599127e-13 relative error = 1.973727847826012e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05700000000000004 y[1] (analytic) = 2.257336343115124 y[1] (numeric) = 2.257336343115581 absolute error = 4.569677969357144e-13 relative error = 2.024367340425215e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05800000000000004 y[1] (analytic) = 2.262443438914028 y[1] (numeric) = 2.262443438914497 absolute error = 4.698463840213662e-13 relative error = 2.076721017374438e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.05900000000000005 y[1] (analytic) = 2.267573696145125 y[1] (numeric) = 2.267573696145608 absolute error = 4.827249711070181e-13 relative error = 2.128817122581949e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06000000000000005 y[1] (analytic) = 2.272727272727273 y[1] (numeric) = 2.272727272727769 absolute error = 4.9649173661237e-13 relative error = 2.184563641094428e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06100000000000005 y[1] (analytic) = 2.277904328018224 y[1] (numeric) = 2.277904328018733 absolute error = 5.098144129078719e-13 relative error = 2.238085272665557e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06200000000000005 y[1] (analytic) = 2.28310502283105 y[1] (numeric) = 2.283105022831574 absolute error = 5.240252676230739e-13 relative error = 2.295230672189064e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06300000000000004 y[1] (analytic) = 2.288329519450801 y[1] (numeric) = 2.288329519451339 absolute error = 5.382361223382759e-13 relative error = 2.352091854618265e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06400000000000004 y[1] (analytic) = 2.293577981651376 y[1] (numeric) = 2.293577981651929 absolute error = 5.52891066263328e-13 relative error = 2.41060504890811e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06500000000000004 y[1] (analytic) = 2.298850574712644 y[1] (numeric) = 2.298850574713211 absolute error = 5.6710192097853e-13 relative error = 2.466893356256605e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06600000000000004 y[1] (analytic) = 2.304147465437788 y[1] (numeric) = 2.30414746543837 absolute error = 5.822009541134321e-13 relative error = 2.526752140852295e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06700000000000005 y[1] (analytic) = 2.309468822170901 y[1] (numeric) = 2.309468822171498 absolute error = 5.972999872483342e-13 relative error = 2.586308944785287e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06800000000000005 y[1] (analytic) = 2.314814814814815 y[1] (numeric) = 2.314814814815428 absolute error = 6.128431095930864e-13 relative error = 2.647482233442133e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.06900000000000005 y[1] (analytic) = 2.320185614849188 y[1] (numeric) = 2.320185614849817 absolute error = 6.283862319378386e-13 relative error = 2.708344659652084e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07000000000000005 y[1] (analytic) = 2.325581395348837 y[1] (numeric) = 2.325581395349482 absolute error = 6.448175327022909e-13 relative error = 2.772715390619851e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07100000000000005 y[1] (analytic) = 2.331002331002331 y[1] (numeric) = 2.331002331002992 absolute error = 6.612488334667432e-13 relative error = 2.836757495572328e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07200000000000005 y[1] (analytic) = 2.336448598130842 y[1] (numeric) = 2.336448598131519 absolute error = 6.776801342311956e-13 relative error = 2.900470974509516e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07300000000000005 y[1] (analytic) = 2.34192037470726 y[1] (numeric) = 2.341920374707955 absolute error = 6.945555242054979e-13 relative error = 2.965752088357476e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07400000000000005 y[1] (analytic) = 2.347417840375587 y[1] (numeric) = 2.347417840376299 absolute error = 7.123190925995004e-13 relative error = 3.034479334473872e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07500000000000005 y[1] (analytic) = 2.352941176470588 y[1] (numeric) = 2.352941176471318 absolute error = 7.300826609935029e-13 relative error = 3.102851309222387e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07600000000000005 y[1] (analytic) = 2.358490566037736 y[1] (numeric) = 2.358490566038484 absolute error = 7.478462293875054e-13 relative error = 3.170868012603023e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07700000000000005 y[1] (analytic) = 2.364066193853428 y[1] (numeric) = 2.364066193854194 absolute error = 7.66053886991358e-13 relative error = 3.240407941973444e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07800000000000006 y[1] (analytic) = 2.369668246445498 y[1] (numeric) = 2.369668246446283 absolute error = 7.847056338050606e-13 relative error = 3.311457774657355e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.07900000000000006 y[1] (analytic) = 2.375296912114015 y[1] (numeric) = 2.375296912114818 absolute error = 8.038014698286133e-13 relative error = 3.384004187978461e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08000000000000006 y[1] (analytic) = 2.380952380952381 y[1] (numeric) = 2.380952380953204 absolute error = 8.22897305852166e-13 relative error = 3.456168684579097e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08100000000000006 y[1] (analytic) = 2.386634844868735 y[1] (numeric) = 2.386634844869578 absolute error = 8.428813202954188e-13 relative error = 3.531672732037805e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08200000000000006 y[1] (analytic) = 2.392344497607656 y[1] (numeric) = 2.392344497608519 absolute error = 8.628653347386717e-13 relative error = 3.606777099207647e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08300000000000006 y[1] (analytic) = 2.398081534772182 y[1] (numeric) = 2.398081534773066 absolute error = 8.837375276016246e-13 relative error = 3.685185490098775e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08400000000000006 y[1] (analytic) = 2.403846153846154 y[1] (numeric) = 2.403846153847059 absolute error = 9.046097204645775e-13 relative error = 3.763176437132642e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08500000000000006 y[1] (analytic) = 2.409638554216868 y[1] (numeric) = 2.409638554217794 absolute error = 9.259260025373806e-13 relative error = 3.842592910530129e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08600000000000006 y[1] (analytic) = 2.415458937198068 y[1] (numeric) = 2.415458937199015 absolute error = 9.472422846101836e-13 relative error = 3.921583058286159e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08700000000000006 y[1] (analytic) = 2.421307506053269 y[1] (numeric) = 2.421307506054239 absolute error = 9.694467451026867e-13 relative error = 4.003815057274095e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08800000000000006 y[1] (analytic) = 2.427184466019418 y[1] (numeric) = 2.42718446602041 absolute error = 9.920952948050399e-13 relative error = 4.087432614596764e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.08900000000000007 y[1] (analytic) = 2.433090024330901 y[1] (numeric) = 2.433090024331916 absolute error = 1.014743844507393e-12 relative error = 4.170597200925384e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09000000000000007 y[1] (analytic) = 2.439024390243903 y[1] (numeric) = 2.439024390244941 absolute error = 1.038280572629446e-12 relative error = 4.25695034778073e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09100000000000007 y[1] (analytic) = 2.444987775061125 y[1] (numeric) = 2.444987775062187 absolute error = 1.0618173007515e-12 relative error = 4.342832760073633e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09200000000000007 y[1] (analytic) = 2.450980392156863 y[1] (numeric) = 2.450980392157949 absolute error = 1.085798118083403e-12 relative error = 4.430056321780283e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09300000000000007 y[1] (analytic) = 2.457002457002457 y[1] (numeric) = 2.457002457003568 absolute error = 1.110667113835007e-12 relative error = 4.520415153308476e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09400000000000007 y[1] (analytic) = 2.463054187192119 y[1] (numeric) = 2.463054187193254 absolute error = 1.13553610958661e-12 relative error = 4.610276604921636e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09500000000000007 y[1] (analytic) = 2.469135802469136 y[1] (numeric) = 2.469135802470297 absolute error = 1.161293283757914e-12 relative error = 4.70323779921955e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09600000000000007 y[1] (analytic) = 2.475247524752476 y[1] (numeric) = 2.475247524753663 absolute error = 1.187494547139067e-12 relative error = 4.797477970441831e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09700000000000007 y[1] (analytic) = 2.481389578163772 y[1] (numeric) = 2.481389578164986 absolute error = 1.214139899730071e-12 relative error = 4.892983795912186e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09800000000000007 y[1] (analytic) = 2.487562189054727 y[1] (numeric) = 2.487562189055968 absolute error = 1.240785252321075e-12 relative error = 4.98795671433072e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.09900000000000007 y[1] (analytic) = 2.493765586034913 y[1] (numeric) = 2.493765586036182 absolute error = 1.268762872541629e-12 relative error = 5.08773911889193e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1000000000000001 y[1] (analytic) = 2.5 y[1] (numeric) = 2.500000000001298 absolute error = 1.297184581972033e-12 relative error = 5.188738327888131e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1010000000000001 y[1] (analytic) = 2.506265664160401 y[1] (numeric) = 2.506265664161727 absolute error = 1.326050380612287e-12 relative error = 5.290941018643024e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1020000000000001 y[1] (analytic) = 2.512562814070352 y[1] (numeric) = 2.512562814071707 absolute error = 1.354916179252541e-12 relative error = 5.392566393425112e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1030000000000001 y[1] (analytic) = 2.518891687657431 y[1] (numeric) = 2.518891687658816 absolute error = 1.384670156312495e-12 relative error = 5.497140520560604e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1040000000000001 y[1] (analytic) = 2.525252525252526 y[1] (numeric) = 2.525252525253941 absolute error = 1.414868222582299e-12 relative error = 5.602878161425904e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1050000000000001 y[1] (analytic) = 2.531645569620254 y[1] (numeric) = 2.5316455696217 absolute error = 1.445954467271804e-12 relative error = 5.711520145723624e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1060000000000001 y[1] (analytic) = 2.538071065989848 y[1] (numeric) = 2.538071065991326 absolute error = 1.477484801171158e-12 relative error = 5.821290116614363e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1070000000000001 y[1] (analytic) = 2.544529262086515 y[1] (numeric) = 2.544529262088024 absolute error = 1.509903313490213e-12 relative error = 5.933920022016535e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1080000000000001 y[1] (analytic) = 2.551020408163266 y[1] (numeric) = 2.551020408164808 absolute error = 1.542765915019118e-12 relative error = 6.04764238687494e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1090000000000001 y[1] (analytic) = 2.557544757033249 y[1] (numeric) = 2.557544757034825 absolute error = 1.576072605757872e-12 relative error = 6.162443888513279e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1100000000000001 y[1] (analytic) = 2.564102564102565 y[1] (numeric) = 2.564102564104175 absolute error = 1.610267474916327e-12 relative error = 6.280043152173674e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1110000000000001 y[1] (analytic) = 2.5706940874036 y[1] (numeric) = 2.570694087405245 absolute error = 1.645350522494482e-12 relative error = 6.400413532503534e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1120000000000001 y[1] (analytic) = 2.577319587628867 y[1] (numeric) = 2.577319587630547 absolute error = 1.680877659282487e-12 relative error = 6.521805318016048e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1130000000000001 y[1] (analytic) = 2.583979328165375 y[1] (numeric) = 2.583979328167092 absolute error = 1.717292974490192e-12 relative error = 6.645923811277042e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1140000000000001 y[1] (analytic) = 2.590673575129534 y[1] (numeric) = 2.590673575131288 absolute error = 1.753708289697897e-12 relative error = 6.769313998233882e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1150000000000001 y[1] (analytic) = 2.597402597402598 y[1] (numeric) = 2.59740259740439 absolute error = 1.791899961745003e-12 relative error = 6.898814852718259e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1160000000000001 y[1] (analytic) = 2.604166666666667 y[1] (numeric) = 2.604166666668497 absolute error = 1.830091633792108e-12 relative error = 7.027551873761693e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1170000000000001 y[1] (analytic) = 2.610966057441254 y[1] (numeric) = 2.610966057443123 absolute error = 1.869615573468764e-12 relative error = 7.160627646385363e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1180000000000001 y[1] (analytic) = 2.61780104712042 y[1] (numeric) = 2.617801047122329 absolute error = 1.909583602355269e-12 relative error = 7.294609360997126e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1190000000000001 y[1] (analytic) = 2.624671916010499 y[1] (numeric) = 2.62467191601245 absolute error = 1.950439809661475e-12 relative error = 7.431175674810218e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1200000000000001 y[1] (analytic) = 2.631578947368422 y[1] (numeric) = 2.631578947370413 absolute error = 1.991740106177531e-12 relative error = 7.568612403474616e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1210000000000001 y[1] (analytic) = 2.638522427440634 y[1] (numeric) = 2.638522427442668 absolute error = 2.033928581113287e-12 relative error = 7.708589322419354e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1220000000000001 y[1] (analytic) = 2.645502645502646 y[1] (numeric) = 2.645502645504723 absolute error = 2.077449323678593e-12 relative error = 7.85275844350508e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1230000000000001 y[1] (analytic) = 2.652519893899205 y[1] (numeric) = 2.652519893901326 absolute error = 2.121414155453749e-12 relative error = 7.997731366060633e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1240000000000001 y[1] (analytic) = 2.659574468085107 y[1] (numeric) = 2.659574468087273 absolute error = 2.166267165648605e-12 relative error = 8.145164542838753e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1250000000000001 y[1] (analytic) = 2.666666666666667 y[1] (numeric) = 2.66666666666888 absolute error = 2.212452443473012e-12 relative error = 8.296696663023792e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1260000000000001 y[1] (analytic) = 2.673796791443851 y[1] (numeric) = 2.67379679144611 absolute error = 2.259525899717119e-12 relative error = 8.450626864942021e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1270000000000001 y[1] (analytic) = 2.680965147453084 y[1] (numeric) = 2.680965147455391 absolute error = 2.307487534380925e-12 relative error = 8.60692850324085e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1280000000000001 y[1] (analytic) = 2.688172043010753 y[1] (numeric) = 2.688172043013109 absolute error = 2.355893258254582e-12 relative error = 8.763922920707043e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1290000000000001 y[1] (analytic) = 2.695417789757413 y[1] (numeric) = 2.695417789759819 absolute error = 2.405631249757789e-12 relative error = 8.924891936601396e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1300000000000001 y[1] (analytic) = 2.702702702702704 y[1] (numeric) = 2.70270270270516 absolute error = 2.456257419680696e-12 relative error = 9.088152452818574e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1310000000000001 y[1] (analytic) = 2.710027100271003 y[1] (numeric) = 2.710027100273511 absolute error = 2.508215857233154e-12 relative error = 9.255316513190335e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1320000000000001 y[1] (analytic) = 2.717391304347827 y[1] (numeric) = 2.717391304350388 absolute error = 2.561062473205311e-12 relative error = 9.424709901395543e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1330000000000001 y[1] (analytic) = 2.724795640326976 y[1] (numeric) = 2.724795640329591 absolute error = 2.614797267597169e-12 relative error = 9.596305972081607e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1340000000000001 y[1] (analytic) = 2.732240437158471 y[1] (numeric) = 2.732240437161141 absolute error = 2.669864329618576e-12 relative error = 9.771703446403986e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1350000000000001 y[1] (analytic) = 2.739726027397261 y[1] (numeric) = 2.739726027399987 absolute error = 2.726263659269534e-12 relative error = 9.950862356333798e-11 % Correct digits = 12 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1360000000000001 y[1] (analytic) = 2.747252747252748 y[1] (numeric) = 2.747252747255532 absolute error = 2.783551167340192e-12 relative error = 1.01321262491183e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1370000000000001 y[1] (analytic) = 2.754820936639119 y[1] (numeric) = 2.754820936641961 absolute error = 2.842170943040401e-12 relative error = 1.031708052323665e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1380000000000001 y[1] (analytic) = 2.76243093922652 y[1] (numeric) = 2.762430939229422 absolute error = 2.901678897160309e-12 relative error = 1.050407760772032e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1390000000000001 y[1] (analytic) = 2.770083102493075 y[1] (numeric) = 2.770083102496038 absolute error = 2.962963208119618e-12 relative error = 1.069629718131182e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1400000000000001 y[1] (analytic) = 2.777777777777779 y[1] (numeric) = 2.777777777780804 absolute error = 3.025135697498627e-12 relative error = 1.089048851099505e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1410000000000001 y[1] (analytic) = 2.785515320334262 y[1] (numeric) = 2.785515320337351 absolute error = 3.089084543717036e-12 relative error = 1.108981351194415e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1420000000000001 y[1] (analytic) = 2.793296089385476 y[1] (numeric) = 2.79329608938863 absolute error = 3.153921568355145e-12 relative error = 1.129103921471141e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1430000000000001 y[1] (analytic) = 2.801120448179272 y[1] (numeric) = 2.801120448182493 absolute error = 3.220090860622804e-12 relative error = 1.149572437242341e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1440000000000001 y[1] (analytic) = 2.808988764044944 y[1] (numeric) = 2.808988764048232 absolute error = 3.287592420520014e-12 relative error = 1.170382901705125e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1450000000000001 y[1] (analytic) = 2.816901408450705 y[1] (numeric) = 2.816901408454061 absolute error = 3.356426248046773e-12 relative error = 1.191531318056604e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1460000000000001 y[1] (analytic) = 2.824858757062148 y[1] (numeric) = 2.824858757065575 absolute error = 3.427036432412933e-12 relative error = 1.213170897074178e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1470000000000001 y[1] (analytic) = 2.8328611898017 y[1] (numeric) = 2.832861189805199 absolute error = 3.498978884408643e-12 relative error = 1.235139546196251e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1480000000000001 y[1] (analytic) = 2.840909090909092 y[1] (numeric) = 2.840909090912664 absolute error = 3.572253604033904e-12 relative error = 1.257433268619934e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1490000000000001 y[1] (analytic) = 2.84900284900285 y[1] (numeric) = 2.849002849006497 absolute error = 3.647304680498564e-12 relative error = 1.280203942854996e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1500000000000001 y[1] (analytic) = 2.857142857142858 y[1] (numeric) = 2.857142857146582 absolute error = 3.723688024592775e-12 relative error = 1.303290808607471e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1510000000000001 y[1] (analytic) = 2.865329512893984 y[1] (numeric) = 2.865329512897786 absolute error = 3.801847725526386e-12 relative error = 1.326844856208708e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1520000000000001 y[1] (analytic) = 2.873563218390805 y[1] (numeric) = 2.873563218394688 absolute error = 3.882227872509247e-12 relative error = 1.351015299633218e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1530000000000001 y[1] (analytic) = 2.881844380403459 y[1] (numeric) = 2.881844380407423 absolute error = 3.963940287121659e-12 relative error = 1.375487279631215e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1540000000000001 y[1] (analytic) = 2.890173410404625 y[1] (numeric) = 2.890173410408672 absolute error = 4.046984969363621e-12 relative error = 1.400256799399812e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1550000000000001 y[1] (analytic) = 2.898550724637682 y[1] (numeric) = 2.898550724641814 absolute error = 4.132250097654833e-12 relative error = 1.425626283690917e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1560000000000001 y[1] (analytic) = 2.906976744186047 y[1] (numeric) = 2.906976744190267 absolute error = 4.219291582785445e-12 relative error = 1.451436304478193e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1570000000000001 y[1] (analytic) = 2.915451895043733 y[1] (numeric) = 2.915451895048041 absolute error = 4.307665335545607e-12 relative error = 1.477529210092143e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1580000000000001 y[1] (analytic) = 2.923976608187135 y[1] (numeric) = 2.923976608191534 absolute error = 4.39870362356487e-12 relative error = 1.504356639259185e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1590000000000001 y[1] (analytic) = 2.932551319648095 y[1] (numeric) = 2.932551319652586 absolute error = 4.491518268423533e-12 relative error = 1.531607729532424e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1600000000000001 y[1] (analytic) = 2.941176470588236 y[1] (numeric) = 2.941176470592823 absolute error = 4.586109270121597e-12 relative error = 1.559277151841342e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1610000000000001 y[1] (analytic) = 2.949852507374632 y[1] (numeric) = 2.949852507379315 absolute error = 4.68292071786891e-12 relative error = 1.58751012335756e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1620000000000001 y[1] (analytic) = 2.958579881656806 y[1] (numeric) = 2.958579881661588 absolute error = 4.782396700875324e-12 relative error = 1.616450084895859e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1630000000000001 y[1] (analytic) = 2.967359050445105 y[1] (numeric) = 2.967359050449988 absolute error = 4.883204951511289e-12 relative error = 1.645640068659304e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1640000000000001 y[1] (analytic) = 2.976190476190477 y[1] (numeric) = 2.976190476195464 absolute error = 4.986677737406353e-12 relative error = 1.675523719768534e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1650000000000001 y[1] (analytic) = 2.985074626865673 y[1] (numeric) = 2.985074626870765 absolute error = 5.092370969350668e-12 relative error = 1.705944274732473e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1660000000000001 y[1] (analytic) = 2.994011976047905 y[1] (numeric) = 2.994011976053106 absolute error = 5.200728736554083e-12 relative error = 1.737043398009063e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1670000000000001 y[1] (analytic) = 3.003003003003004 y[1] (numeric) = 3.003003003008315 absolute error = 5.310862860596899e-12 relative error = 1.768517332578767e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1680000000000001 y[1] (analytic) = 3.012048192771085 y[1] (numeric) = 3.012048192776509 absolute error = 5.423661519898815e-12 relative error = 1.800655624606406e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1690000000000001 y[1] (analytic) = 3.021148036253777 y[1] (numeric) = 3.021148036259317 absolute error = 5.539124714459831e-12 relative error = 1.833450280486203e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1700000000000001 y[1] (analytic) = 3.030303030303032 y[1] (numeric) = 3.030303030308688 absolute error = 5.656808355070098e-12 relative error = 1.866746757173131e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1710000000000001 y[1] (analytic) = 3.039513677811551 y[1] (numeric) = 3.039513677817329 absolute error = 5.777600620149315e-12 relative error = 1.900830604029124e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1720000000000001 y[1] (analytic) = 3.048780487804879 y[1] (numeric) = 3.04878048781078 absolute error = 5.900613331277782e-12 relative error = 1.935401172659112e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1730000000000001 y[1] (analytic) = 3.05810397553517 y[1] (numeric) = 3.058103975541196 absolute error = 6.0267346668752e-12 relative error = 1.970742236068189e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1740000000000001 y[1] (analytic) = 3.067484662576689 y[1] (numeric) = 3.067484662582844 absolute error = 6.155520537731718e-12 relative error = 2.006699695300539e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1750000000000001 y[1] (analytic) = 3.076923076923078 y[1] (numeric) = 3.076923076929366 absolute error = 6.287859122267037e-12 relative error = 2.043554214736786e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1760000000000001 y[1] (analytic) = 3.086419753086421 y[1] (numeric) = 3.086419753092843 absolute error = 6.422418152851606e-12 relative error = 2.080863481523919e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1770000000000001 y[1] (analytic) = 3.095975232198144 y[1] (numeric) = 3.095975232204704 absolute error = 6.560529897114975e-12 relative error = 2.119051156768136e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1780000000000001 y[1] (analytic) = 3.105590062111803 y[1] (numeric) = 3.105590062118504 absolute error = 6.701306176637445e-12 relative error = 2.157820588877256e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1790000000000001 y[1] (analytic) = 3.115264797507789 y[1] (numeric) = 3.115264797514635 absolute error = 6.845635169838715e-12 relative error = 2.197448889518227e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1800000000000001 y[1] (analytic) = 3.125000000000001 y[1] (numeric) = 3.125000000006994 absolute error = 6.993072787508936e-12 relative error = 2.237783292002858e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1810000000000001 y[1] (analytic) = 3.134796238244515 y[1] (numeric) = 3.134796238251659 absolute error = 7.144063118857957e-12 relative error = 2.278956134915688e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1820000000000001 y[1] (analytic) = 3.144654088050316 y[1] (numeric) = 3.144654088057614 absolute error = 7.298162074675929e-12 relative error = 2.320815539746944e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1830000000000001 y[1] (analytic) = 3.154574132492115 y[1] (numeric) = 3.154574132499571 absolute error = 7.456257833382551e-12 relative error = 2.363633733182268e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1840000000000001 y[1] (analytic) = 3.164556962025318 y[1] (numeric) = 3.164556962032936 absolute error = 7.617906305767974e-12 relative error = 2.407258392622679e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1850000000000001 y[1] (analytic) = 3.174603174603176 y[1] (numeric) = 3.174603174610959 absolute error = 7.783551581042047e-12 relative error = 2.451818748028244e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1860000000000001 y[1] (analytic) = 3.18471337579618 y[1] (numeric) = 3.184713375804132 absolute error = 7.952305480785071e-12 relative error = 2.497023920966511e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1870000000000001 y[1] (analytic) = 3.19488817891374 y[1] (numeric) = 3.194888178921865 absolute error = 8.125500272626596e-12 relative error = 2.543281585332123e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1880000000000001 y[1] (analytic) = 3.205128205128207 y[1] (numeric) = 3.205128205136509 absolute error = 8.302691867356771e-12 relative error = 2.590439862615311e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1890000000000001 y[1] (analytic) = 3.215434083601288 y[1] (numeric) = 3.215434083609772 absolute error = 8.483880264975596e-12 relative error = 2.638486762407409e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1900000000000001 y[1] (analytic) = 3.225806451612905 y[1] (numeric) = 3.225806451621574 absolute error = 8.669509554692922e-12 relative error = 2.687547961954804e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1910000000000001 y[1] (analytic) = 3.236245954692558 y[1] (numeric) = 3.236245954701418 absolute error = 8.859579736508749e-12 relative error = 2.737610138581202e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1920000000000001 y[1] (analytic) = 3.246753246753248 y[1] (numeric) = 3.246753246762303 absolute error = 9.054534899632927e-12 relative error = 2.78879674908694e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1930000000000001 y[1] (analytic) = 3.257328990228014 y[1] (numeric) = 3.257328990237268 absolute error = 9.253486865645755e-12 relative error = 2.840820467753245e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1940000000000001 y[1] (analytic) = 3.267973856209152 y[1] (numeric) = 3.267973856218609 absolute error = 9.457323812966933e-12 relative error = 2.89394108676788e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1950000000000001 y[1] (analytic) = 3.278688524590165 y[1] (numeric) = 3.278688524599832 absolute error = 9.666489830806313e-12 relative error = 2.948279398395924e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1960000000000001 y[1] (analytic) = 3.289473684210528 y[1] (numeric) = 3.289473684220408 absolute error = 9.880096740744193e-12 relative error = 3.003549409186233e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1970000000000001 y[1] (analytic) = 3.300330033003302 y[1] (numeric) = 3.300330033013401 absolute error = 1.009903272120027e-11 relative error = 3.060006914523681e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1980000000000001 y[1] (analytic) = 3.311258278145697 y[1] (numeric) = 3.31125827815602 absolute error = 1.032329777217456e-11 relative error = 3.117635927196714e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1990000000000001 y[1] (analytic) = 3.322259136212626 y[1] (numeric) = 3.322259136223179 absolute error = 1.055289189366704e-11 relative error = 3.176420459993777e-10 % Correct digits = 11 h = 0.001 TOP MAIN SOLVE Loop NO POLE x[1] = 0.2000000000000001 y[1] (analytic) = 3.333333333333335 y[1] (numeric) = 3.333333333344124 absolute error = 1.078870326409742e-11 relative error = 3.236610979229225e-10 % Correct digits = 11 h = 0.001 Finished! diff ( y , x , 1 ) = y * y; Iterations = 200 Total Elapsed Time = 23 Seconds Elapsed Time(since restart) = 21 Seconds Time to Timeout = 2 Minutes 37 Seconds Percent Done = 100.5 %