##############ECHO OF PROBLEM################# ##############temp/lin_arctanpostode.ode################# diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = -1.0; x_end = 5.00 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(10.0 * (0.1 * x + 0.2) * arctan(0.1 * x + 0.2) - 5.0 * ln(1.0 + expt((0.1 * x + 0.2) , 2))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -1 y[1] (analytic) = 0.04991699822532158 y[1] (numeric) = 0.04991699822532158 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.99999 y[1] (analytic) = 0.04991799491679708 y[1] (numeric) = 0.04991799491679699 absolute error = 9.020562075079397e-17 relative error = 1.807076203704656e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999800000000001 y[1] (analytic) = 0.04991899161817373 y[1] (numeric) = 0.04991899161817338 absolute error = 3.469446951953614e-16 relative error = 6.950154319003736e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999700000000001 y[1] (analytic) = 0.04991998832945055 y[1] (numeric) = 0.04991998832945076 absolute error = 2.151057110211241e-16 relative error = 4.309009641619275e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999600000000002 y[1] (analytic) = 0.04992098505062961 y[1] (numeric) = 0.04992098505062913 absolute error = 4.85722573273506e-16 relative error = 9.729827502019213e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999500000000002 y[1] (analytic) = 0.04992198178170883 y[1] (numeric) = 0.04992198178170847 absolute error = 3.538835890992686e-16 relative error = 7.088732788026655e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999400000000003 y[1] (analytic) = 0.04992297852268923 y[1] (numeric) = 0.0499229785226888 absolute error = 4.302114220422482e-16 relative error = 8.617503097230539e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999300000000003 y[1] (analytic) = 0.04992397527356972 y[1] (numeric) = 0.04992397527357011 absolute error = 3.885780586188048e-16 relative error = 7.783395783078238e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999200000000004 y[1] (analytic) = 0.0499249720343525 y[1] (numeric) = 0.04992497203435239 absolute error = 1.110223024625157e-16 relative error = 2.223782967492163e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999100000000004 y[1] (analytic) = 0.04992596880503538 y[1] (numeric) = 0.04992596880503564 absolute error = 2.636779683484747e-16 relative error = 5.281379103090753e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9999000000000005 y[1] (analytic) = 0.04992696558561945 y[1] (numeric) = 0.04992696558561988 absolute error = 4.232725281383409e-16 relative error = 8.477834035646998e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998900000000005 y[1] (analytic) = 0.04992796237610472 y[1] (numeric) = 0.04992796237610508 absolute error = 3.538835890992686e-16 relative error = 7.087883667943069e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998800000000005 y[1] (analytic) = 0.04992895917649116 y[1] (numeric) = 0.04992895917649125 absolute error = 8.326672684688674e-17 relative error = 1.667704038302736e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998700000000006 y[1] (analytic) = 0.04992995598677882 y[1] (numeric) = 0.04992995598677838 absolute error = 4.440892098500626e-16 relative error = 8.894243967842771e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998600000000006 y[1] (analytic) = 0.04993095280696652 y[1] (numeric) = 0.04993095280696648 absolute error = 4.163336342344337e-17 relative error = 8.338187253185073e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998500000000007 y[1] (analytic) = 0.04993194963705543 y[1] (numeric) = 0.04993194963705554 absolute error = 1.179611963664229e-16 relative error = 2.362439224261368e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998400000000007 y[1] (analytic) = 0.04993294647704551 y[1] (numeric) = 0.04993294647704557 absolute error = 5.551115123125783e-17 relative error = 1.111713911310574e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998300000000008 y[1] (analytic) = 0.04993394332693678 y[1] (numeric) = 0.04993394332693655 absolute error = 2.289834988289385e-16 relative error = 4.585728335727368e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998200000000008 y[1] (analytic) = 0.04993494018672811 y[1] (numeric) = 0.04993494018672848 absolute error = 3.747002708109903e-16 relative error = 7.503769292800305e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8775 x[1] = -0.9998100000000009 y[1] (analytic) = 0.04993593705642173 y[1] (numeric) = 0.04993593705642137 absolute error = 3.538835890992686e-16 relative error = 7.086751745529915e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9998000000000009 y[1] (analytic) = 0.04993693393601541 y[1] (numeric) = 0.04993693393601522 absolute error = 1.873501354054952e-16 relative error = 3.751734851113374e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999790000000001 y[1] (analytic) = 0.04993793082551026 y[1] (numeric) = 0.04993793082551002 absolute error = 2.42861286636753e-16 relative error = 4.863262907014358e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999780000000001 y[1] (analytic) = 0.04993892772490517 y[1] (numeric) = 0.04993892772490577 absolute error = 5.967448757360216e-16 relative error = 1.194949316940214e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999770000000001 y[1] (analytic) = 0.04993992463420237 y[1] (numeric) = 0.04993992463420246 absolute error = 9.020562075079397e-17 relative error = 1.806282676866813e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997600000000011 y[1] (analytic) = 0.0499409215533996 y[1] (numeric) = 0.0499409215534001 absolute error = 4.926614671774132e-16 relative error = 9.864885385637752e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997500000000011 y[1] (analytic) = 0.04994191848249913 y[1] (numeric) = 0.04994191848249867 absolute error = 4.510281037539698e-16 relative error = 9.031052820127868e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997400000000012 y[1] (analytic) = 0.0499429154214976 y[1] (numeric) = 0.04994291542149819 absolute error = 5.967448757360216e-16 relative error = 1.194853906104081e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997300000000012 y[1] (analytic) = 0.04994391237039833 y[1] (numeric) = 0.04994391237039866 absolute error = 3.261280134836397e-16 relative error = 6.529885185305091e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997200000000013 y[1] (analytic) = 0.04994490932920022 y[1] (numeric) = 0.04994490932920005 absolute error = 1.665334536937735e-16 relative error = 3.33434289761359e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997100000000013 y[1] (analytic) = 0.04994590629790216 y[1] (numeric) = 0.04994590629790239 absolute error = 2.289834988289385e-16 relative error = 4.584629968733921e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9997000000000014 y[1] (analytic) = 0.04994690327650526 y[1] (numeric) = 0.04994690327650565 absolute error = 3.95516952522712e-16 relative error = 7.918748242171021e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996900000000014 y[1] (analytic) = 0.0499479002650095 y[1] (numeric) = 0.04994790026500985 absolute error = 3.469446951953614e-16 relative error = 6.946131736360698e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996800000000015 y[1] (analytic) = 0.04994889726341489 y[1] (numeric) = 0.04994889726341498 absolute error = 9.020562075079397e-17 relative error = 1.805958203142658e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996700000000015 y[1] (analytic) = 0.04994989427172144 y[1] (numeric) = 0.04994989427172103 absolute error = 4.093947403305265e-16 relative error = 8.19610824606491e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996600000000015 y[1] (analytic) = 0.049950891289928 y[1] (numeric) = 0.04995089128992801 absolute error = 6.938893903907228e-18 relative error = 1.389143161356637e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996500000000016 y[1] (analytic) = 0.04995188831803574 y[1] (numeric) = 0.04995188831803591 absolute error = 1.665334536937735e-16 relative error = 3.333877042515018e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996400000000016 y[1] (analytic) = 0.04995288535604461 y[1] (numeric) = 0.04995288535604474 absolute error = 1.249000902703301e-16 relative error = 2.500357874827273e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996300000000017 y[1] (analytic) = 0.04995388240395462 y[1] (numeric) = 0.04995388240395448 absolute error = 1.457167719820518e-16 relative error = 2.9170259641424e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996200000000017 y[1] (analytic) = 0.04995487946176466 y[1] (numeric) = 0.04995487946176514 absolute error = 4.787836793695988e-16 relative error = 9.584322583263535e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996100000000018 y[1] (analytic) = 0.04995587652947694 y[1] (numeric) = 0.04995587652947672 absolute error = 2.220446049250313e-16 relative error = 4.44481451134206e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9996000000000018 y[1] (analytic) = 0.04995687360708924 y[1] (numeric) = 0.0499568736070892 absolute error = 3.469446951953614e-17 relative error = 6.944884059880951e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995900000000019 y[1] (analytic) = 0.0499578706946027 y[1] (numeric) = 0.04995787069460261 absolute error = 9.020562075079397e-17 relative error = 1.80563381698611e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995800000000019 y[1] (analytic) = 0.04995886779201726 y[1] (numeric) = 0.04995886779201692 absolute error = 3.400058012914542e-16 relative error = 6.805714707285308e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999570000000002 y[1] (analytic) = 0.04995986489933187 y[1] (numeric) = 0.04995986489933214 absolute error = 2.775557561562891e-16 relative error = 5.555574594037803e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999560000000002 y[1] (analytic) = 0.04996086201654758 y[1] (numeric) = 0.04996086201654827 absolute error = 6.938893903907228e-16 relative error = 1.388865929016395e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999550000000002 y[1] (analytic) = 0.04996185914366554 y[1] (numeric) = 0.0499618591436653 absolute error = 2.42861286636753e-16 relative error = 4.860933736240766e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995400000000021 y[1] (analytic) = 0.04996285628068349 y[1] (numeric) = 0.04996285628068323 absolute error = 2.567390744445674e-16 relative error = 5.138598822338091e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995300000000021 y[1] (analytic) = 0.04996385342760148 y[1] (numeric) = 0.04996385342760207 absolute error = 5.898059818321144e-16 relative error = 1.180465359195631e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995200000000022 y[1] (analytic) = 0.04996485058442168 y[1] (numeric) = 0.04996485058442179 absolute error = 1.110223024625157e-16 relative error = 2.222008094969282e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995100000000022 y[1] (analytic) = 0.0499658477511419 y[1] (numeric) = 0.04996584775114242 absolute error = 5.204170427930421e-16 relative error = 1.041545508013819e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9995000000000023 y[1] (analytic) = 0.04996684492776322 y[1] (numeric) = 0.04996684492776394 absolute error = 7.147060721024445e-16 relative error = 1.430360618397441e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994900000000023 y[1] (analytic) = 0.0499678421142857 y[1] (numeric) = 0.04996784211428635 absolute error = 6.522560269672795e-16 relative error = 1.305351600886525e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994800000000024 y[1] (analytic) = 0.04996883931070921 y[1] (numeric) = 0.04996883931070965 absolute error = 4.440892098500626e-16 relative error = 8.887322899151e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994700000000024 y[1] (analytic) = 0.04996983651703389 y[1] (numeric) = 0.04996983651703384 absolute error = 4.85722573273506e-17 relative error = 9.720315436852213e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994600000000025 y[1] (analytic) = 0.04997083373325854 y[1] (numeric) = 0.04997083373325892 absolute error = 3.816391647148976e-16 relative error = 7.637238288879983e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994500000000025 y[1] (analytic) = 0.04997183095938432 y[1] (numeric) = 0.04997183095938488 absolute error = 5.620504062164855e-16 relative error = 1.124734466250204e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994400000000025 y[1] (analytic) = 0.04997282819541118 y[1] (numeric) = 0.04997282819541172 absolute error = 5.342948306008566e-16 relative error = 1.069170687141375e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994300000000026 y[1] (analytic) = 0.04997382544133916 y[1] (numeric) = 0.04997382544133944 absolute error = 2.844946500601964e-16 relative error = 5.692873170058695e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994200000000026 y[1] (analytic) = 0.04997482269716822 y[1] (numeric) = 0.04997482269716805 absolute error = 1.734723475976807e-16 relative error = 3.471194858436393e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994100000000027 y[1] (analytic) = 0.04997581996289728 y[1] (numeric) = 0.04997581996289752 absolute error = 2.42861286636753e-16 relative error = 4.859575827211169e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9994000000000027 y[1] (analytic) = 0.04997681723852743 y[1] (numeric) = 0.04997681723852788 absolute error = 4.510281037539698e-16 relative error = 9.024746445963541e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993900000000028 y[1] (analytic) = 0.04997781452405869 y[1] (numeric) = 0.0499778145240591 absolute error = 4.093947403305265e-16 relative error = 8.191529466208431e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993800000000028 y[1] (analytic) = 0.04997881181949101 y[1] (numeric) = 0.0499788118194912 absolute error = 1.804112415015879e-16 relative error = 3.609754512635896e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993700000000029 y[1] (analytic) = 0.04997980912482444 y[1] (numeric) = 0.04997980912482416 absolute error = 2.844946500601964e-16 relative error = 5.6921916078085e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993600000000029 y[1] (analytic) = 0.04998080644005784 y[1] (numeric) = 0.04998080644005799 absolute error = 1.457167719820518e-16 relative error = 2.915454598693009e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999350000000003 y[1] (analytic) = 0.04998180376519236 y[1] (numeric) = 0.04998180376519268 absolute error = 3.191891195797325e-16 relative error = 6.38610645344532e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999340000000003 y[1] (analytic) = 0.04998280110022792 y[1] (numeric) = 0.04998280110022824 absolute error = 3.191891195797325e-16 relative error = 6.385979027859586e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999330000000003 y[1] (analytic) = 0.04998379844516458 y[1] (numeric) = 0.04998379844516465 absolute error = 6.938893903907228e-17 relative error = 1.388228610020433e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993200000000031 y[1] (analytic) = 0.04998479580000121 y[1] (numeric) = 0.04998479580000192 absolute error = 7.147060721024445e-16 relative error = 1.429846937781083e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993100000000031 y[1] (analytic) = 0.04998579316474003 y[1] (numeric) = 0.04998579316474006 absolute error = 2.775557561562891e-17 relative error = 5.552692846976307e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9993000000000032 y[1] (analytic) = 0.04998679053937879 y[1] (numeric) = 0.04998679053937904 absolute error = 2.498001805406602e-16 relative error = 4.997323849865328e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992900000000032 y[1] (analytic) = 0.04998778792391867 y[1] (numeric) = 0.04998778792391888 absolute error = 2.151057110211241e-16 relative error = 4.303165232046567e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992800000000033 y[1] (analytic) = 0.04998878531835957 y[1] (numeric) = 0.04998878531835958 absolute error = 6.938893903907228e-18 relative error = 1.388090120557251e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992700000000033 y[1] (analytic) = 0.04998978272270047 y[1] (numeric) = 0.04998978272270112 absolute error = 6.453171330633722e-16 relative error = 1.290898055394692e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992600000000034 y[1] (analytic) = 0.04999078013694352 y[1] (numeric) = 0.0499907801369435 absolute error = 2.081668171172169e-17 relative error = 4.164104191752354e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992500000000034 y[1] (analytic) = 0.04999177756108655 y[1] (numeric) = 0.04999177756108673 absolute error = 1.804112415015879e-16 relative error = 3.608818295791496e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992400000000035 y[1] (analytic) = 0.04999277499513063 y[1] (numeric) = 0.04999277499513081 absolute error = 1.734723475976807e-16 relative error = 3.469948359829539e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992300000000035 y[1] (analytic) = 0.04999377243907578 y[1] (numeric) = 0.04999377243907573 absolute error = 5.551115123125783e-17 relative error = 1.110361321480705e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992200000000035 y[1] (analytic) = 0.04999476989292088 y[1] (numeric) = 0.04999476989292148 absolute error = 6.036837696399289e-16 relative error = 1.207493845722068e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992100000000036 y[1] (analytic) = 0.04999576735666815 y[1] (numeric) = 0.04999576735666807 absolute error = 7.632783294297951e-17 relative error = 1.526685897197242e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9992000000000036 y[1] (analytic) = 0.04999676483031536 y[1] (numeric) = 0.0499967648303155 absolute error = 1.457167719820518e-16 relative error = 2.91452401923608e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991900000000037 y[1] (analytic) = 0.04999776231386364 y[1] (numeric) = 0.04999776231386376 absolute error = 1.179611963664229e-16 relative error = 2.359329516107443e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991800000000037 y[1] (analytic) = 0.04999875980731294 y[1] (numeric) = 0.04999875980731285 absolute error = 9.020562075079397e-17 relative error = 1.804157165066328e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991700000000038 y[1] (analytic) = 0.04999975731066222 y[1] (numeric) = 0.04999975731066277 absolute error = 5.48172618408671e-16 relative error = 1.096350558269161e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991600000000038 y[1] (analytic) = 0.05000075482391361 y[1] (numeric) = 0.05000075482391352 absolute error = 9.020562075079397e-17 relative error = 1.804085179683163e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991500000000039 y[1] (analytic) = 0.050001752347065 y[1] (numeric) = 0.0500017523470651 absolute error = 9.71445146547012e-17 relative error = 1.942822203118315e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991400000000039 y[1] (analytic) = 0.05000274988011739 y[1] (numeric) = 0.05000274988011749 absolute error = 1.040834085586084e-16 relative error = 2.081553690710021e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999130000000004 y[1] (analytic) = 0.05000374742307083 y[1] (numeric) = 0.05000374742307071 absolute error = 1.179611963664229e-16 relative error = 2.359047120376376e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.999120000000004 y[1] (analytic) = 0.0500047449759242 y[1] (numeric) = 0.05000474497592475 absolute error = 5.48172618408671e-16 relative error = 1.096241204054935e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991100000000041 y[1] (analytic) = 0.05000574253867972 y[1] (numeric) = 0.0500057425386796 absolute error = 1.179611963664229e-16 relative error = 2.358952999751564e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9991000000000041 y[1] (analytic) = 0.05000674011133516 y[1] (numeric) = 0.05000674011133527 absolute error = 1.110223024625157e-16 relative error = 2.220146768522308e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990900000000041 y[1] (analytic) = 0.05000773769389166 y[1] (numeric) = 0.05000773769389175 absolute error = 9.71445146547012e-17 relative error = 1.942589669809582e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990800000000042 y[1] (analytic) = 0.05000873528634915 y[1] (numeric) = 0.05000873528634905 absolute error = 1.040834085586084e-16 relative error = 2.081304555346753e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990700000000042 y[1] (analytic) = 0.05000973288870662 y[1] (numeric) = 0.05000973288870715 absolute error = 5.342948306008566e-16 relative error = 1.068381692399547e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990600000000043 y[1] (analytic) = 0.05001073050096616 y[1] (numeric) = 0.05001073050096606 absolute error = 9.71445146547012e-17 relative error = 1.942473418836073e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990500000000043 y[1] (analytic) = 0.05001172812312568 y[1] (numeric) = 0.05001172812312579 absolute error = 1.040834085586084e-16 relative error = 2.081180004465387e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990400000000044 y[1] (analytic) = 0.05001272575518618 y[1] (numeric) = 0.05001272575518631 absolute error = 1.318389841742373e-16 relative error = 2.636108753991798e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990300000000044 y[1] (analytic) = 0.05001372339714772 y[1] (numeric) = 0.05001372339714764 absolute error = 8.326672684688674e-17 relative error = 1.664877581412694e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990200000000045 y[1] (analytic) = 0.05001472104900917 y[1] (numeric) = 0.05001472104900976 absolute error = 5.898059818321144e-16 relative error = 1.1792647633767e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990100000000045 y[1] (analytic) = 0.05001571871077275 y[1] (numeric) = 0.05001571871077268 absolute error = 6.245004513516506e-17 relative error = 1.248608372425809e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop WARNING: arctan of linear function has low precision in testing. Complex estimate of poles used Radius of convergence = 10.04 Order of pole = 0.8774 x[1] = -0.9990000000000046 y[1] (analytic) = 0.05001671638243623 y[1] (numeric) = 0.0500167163824364 absolute error = 1.734723475976807e-16 relative error = 3.468287407579537e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = arctan (0.1 * x + 0.2 ) ; Iterations = 100 Total Elapsed Time = 21 Seconds Elapsed Time(since restart) = 20 Seconds Expected Time Remaining = 1 Days 10 Hours 38 Minutes 51 Seconds Optimized Time Remaining = 1 Days 7 Hours 20 Minutes 52 Seconds Time to Timeout = 39 Seconds Percent Done = 0.01683 %