##############ECHO OF PROBLEM################# ##############temp/lin_arcsinpostode.ode################# diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms = 30; Digits = 32; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = -0.8; x_end = 0.8 ; 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) * arcsin(0.1 * x + 0.2 ) + 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = -0.8 y[1] (analytic) = 10.07208677566643 y[1] (numeric) = 10.07208677566643 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.26 Order of pole = 10.62 x[1] = -0.7999900000000001 y[1] (analytic) = 10.07208797857029 y[1] (numeric) = 10.07208797857029 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999800000000001 y[1] (analytic) = 10.07208918148423 y[1] (numeric) = 10.07208918148423 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999700000000002 y[1] (analytic) = 10.07209038440823 y[1] (numeric) = 10.07209038440823 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999600000000002 y[1] (analytic) = 10.07209158734231 y[1] (numeric) = 10.07209158734231 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999500000000003 y[1] (analytic) = 10.07209279028646 y[1] (numeric) = 10.07209279028646 absolute error = 1.77635683940025e-15 relative error = 1.763642250311049e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999400000000003 y[1] (analytic) = 10.07209399324068 y[1] (numeric) = 10.07209399324069 absolute error = 1.77635683940025e-15 relative error = 1.763642039671544e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999300000000004 y[1] (analytic) = 10.07209519620498 y[1] (numeric) = 10.07209519620498 absolute error = 1.77635683940025e-15 relative error = 1.763641829030325e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999200000000004 y[1] (analytic) = 10.07209639917935 y[1] (numeric) = 10.07209639917935 absolute error = 1.77635683940025e-15 relative error = 1.763641618387393e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999100000000005 y[1] (analytic) = 10.0720976021638 y[1] (numeric) = 10.0720976021638 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7999000000000005 y[1] (analytic) = 10.07209880515831 y[1] (numeric) = 10.07209880515831 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7998900000000005 y[1] (analytic) = 10.0721000081629 y[1] (numeric) = 10.0721000081629 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7998800000000006 y[1] (analytic) = 10.07210121117756 y[1] (numeric) = 10.07210121117756 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.62 x[1] = -0.7998700000000006 y[1] (analytic) = 10.07210241420229 y[1] (numeric) = 10.07210241420229 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7998600000000007 y[1] (analytic) = 10.0721036172371 y[1] (numeric) = 10.0721036172371 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7998500000000007 y[1] (analytic) = 10.07210482028198 y[1] (numeric) = 10.07210482028198 absolute error = 1.77635683940025e-15 relative error = 1.763640143838891e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7998400000000008 y[1] (analytic) = 10.07210602333693 y[1] (numeric) = 10.07210602333693 absolute error = 1.77635683940025e-15 relative error = 1.763639933182252e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7998300000000008 y[1] (analytic) = 10.07210722640196 y[1] (numeric) = 10.07210722640196 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7998200000000009 y[1] (analytic) = 10.07210842947705 y[1] (numeric) = 10.07210842947705 absolute error = 1.77635683940025e-15 relative error = 1.763639511863833e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7998100000000009 y[1] (analytic) = 10.07210963256222 y[1] (numeric) = 10.07210963256222 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.799800000000001 y[1] (analytic) = 10.07211083565747 y[1] (numeric) = 10.07211083565747 absolute error = 1.77635683940025e-15 relative error = 1.763639090538559e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.799790000000001 y[1] (analytic) = 10.07211203876279 y[1] (numeric) = 10.07211203876278 absolute error = 1.77635683940025e-15 relative error = 1.763638879873352e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.799780000000001 y[1] (analytic) = 10.07211324187817 y[1] (numeric) = 10.07211324187817 absolute error = 1.77635683940025e-15 relative error = 1.763638669206432e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7997700000000011 y[1] (analytic) = 10.07211444500364 y[1] (numeric) = 10.07211444500363 absolute error = 1.77635683940025e-15 relative error = 1.763638458537798e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7997600000000011 y[1] (analytic) = 10.07211564813917 y[1] (numeric) = 10.07211564813917 absolute error = 1.77635683940025e-15 relative error = 1.763638247867451e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7997500000000012 y[1] (analytic) = 10.07211685128478 y[1] (numeric) = 10.07211685128478 absolute error = 1.77635683940025e-15 relative error = 1.763638037195391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7997400000000012 y[1] (analytic) = 10.07211805444046 y[1] (numeric) = 10.07211805444046 absolute error = 1.77635683940025e-15 relative error = 1.763637826521617e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.61 x[1] = -0.7997300000000013 y[1] (analytic) = 10.07211925760621 y[1] (numeric) = 10.07211925760621 absolute error = 1.77635683940025e-15 relative error = 1.763637615846129e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7997200000000013 y[1] (analytic) = 10.07212046078204 y[1] (numeric) = 10.07212046078204 absolute error = 1.77635683940025e-15 relative error = 1.763637405168928e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7997100000000014 y[1] (analytic) = 10.07212166396794 y[1] (numeric) = 10.07212166396794 absolute error = 1.77635683940025e-15 relative error = 1.763637194490014e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7997000000000014 y[1] (analytic) = 10.07212286716391 y[1] (numeric) = 10.07212286716391 absolute error = 1.77635683940025e-15 relative error = 1.763636983809386e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996900000000015 y[1] (analytic) = 10.07212407036995 y[1] (numeric) = 10.07212407036995 absolute error = 1.77635683940025e-15 relative error = 1.763636773127045e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996800000000015 y[1] (analytic) = 10.07212527358607 y[1] (numeric) = 10.07212527358607 absolute error = 1.77635683940025e-15 relative error = 1.763636562442991e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996700000000015 y[1] (analytic) = 10.07212647681226 y[1] (numeric) = 10.07212647681226 absolute error = 1.77635683940025e-15 relative error = 1.763636351757223e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996600000000016 y[1] (analytic) = 10.07212768004852 y[1] (numeric) = 10.07212768004852 absolute error = 1.77635683940025e-15 relative error = 1.763636141069741e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996500000000016 y[1] (analytic) = 10.07212888329486 y[1] (numeric) = 10.07212888329486 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996400000000017 y[1] (analytic) = 10.07213008655127 y[1] (numeric) = 10.07213008655127 absolute error = 1.77635683940025e-15 relative error = 1.763635719689638e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996300000000017 y[1] (analytic) = 10.07213128981775 y[1] (numeric) = 10.07213128981775 absolute error = 1.77635683940025e-15 relative error = 1.763635508997016e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996200000000018 y[1] (analytic) = 10.0721324930943 y[1] (numeric) = 10.0721324930943 absolute error = 1.77635683940025e-15 relative error = 1.763635298302681e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996100000000018 y[1] (analytic) = 10.07213369638093 y[1] (numeric) = 10.07213369638093 absolute error = 1.77635683940025e-15 relative error = 1.763635087606633e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7996000000000019 y[1] (analytic) = 10.07213489967763 y[1] (numeric) = 10.07213489967763 absolute error = 1.77635683940025e-15 relative error = 1.763634876908871e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.25 Order of pole = 10.6 x[1] = -0.7995900000000019 y[1] (analytic) = 10.07213610298441 y[1] (numeric) = 10.0721361029844 absolute error = 1.77635683940025e-15 relative error = 1.763634666209395e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.799580000000002 y[1] (analytic) = 10.07213730630125 y[1] (numeric) = 10.07213730630125 absolute error = 1.77635683940025e-15 relative error = 1.763634455508207e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.799570000000002 y[1] (analytic) = 10.07213850962817 y[1] (numeric) = 10.07213850962817 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.799560000000002 y[1] (analytic) = 10.07213971296516 y[1] (numeric) = 10.07213971296516 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7995500000000021 y[1] (analytic) = 10.07214091631222 y[1] (numeric) = 10.07214091631222 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7995400000000021 y[1] (analytic) = 10.07214211966936 y[1] (numeric) = 10.07214211966936 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7995300000000022 y[1] (analytic) = 10.07214332303657 y[1] (numeric) = 10.07214332303657 absolute error = 1.77635683940025e-15 relative error = 1.763633401976562e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7995200000000022 y[1] (analytic) = 10.07214452641385 y[1] (numeric) = 10.07214452641385 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7995100000000023 y[1] (analytic) = 10.07214572980121 y[1] (numeric) = 10.07214572980121 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7995000000000023 y[1] (analytic) = 10.07214693319864 y[1] (numeric) = 10.07214693319864 absolute error = 1.77635683940025e-15 relative error = 1.763632769837014e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7994900000000024 y[1] (analytic) = 10.07214813660614 y[1] (numeric) = 10.07214813660614 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7994800000000024 y[1] (analytic) = 10.07214934002371 y[1] (numeric) = 10.07214934002371 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7994700000000025 y[1] (analytic) = 10.07215054345136 y[1] (numeric) = 10.07215054345136 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7994600000000025 y[1] (analytic) = 10.07215174688908 y[1] (numeric) = 10.07215174688908 absolute error = 1.77635683940025e-15 relative error = 1.763631926960297e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.59 x[1] = -0.7994500000000025 y[1] (analytic) = 10.07215295033687 y[1] (numeric) = 10.07215295033687 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7994400000000026 y[1] (analytic) = 10.07215415379474 y[1] (numeric) = 10.07215415379474 absolute error = 1.77635683940025e-15 relative error = 1.763631505511657e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7994300000000026 y[1] (analytic) = 10.07215535726268 y[1] (numeric) = 10.07215535726267 absolute error = 1.77635683940025e-15 relative error = 1.763631294784767e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7994200000000027 y[1] (analytic) = 10.07215656074069 y[1] (numeric) = 10.07215656074069 absolute error = 1.77635683940025e-15 relative error = 1.763631084056164e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7994100000000027 y[1] (analytic) = 10.07215776422877 y[1] (numeric) = 10.07215776422877 absolute error = 1.77635683940025e-15 relative error = 1.763630873325848e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7994000000000028 y[1] (analytic) = 10.07215896772693 y[1] (numeric) = 10.07215896772693 absolute error = 1.77635683940025e-15 relative error = 1.763630662593818e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7993900000000028 y[1] (analytic) = 10.07216017123516 y[1] (numeric) = 10.07216017123516 absolute error = 1.77635683940025e-15 relative error = 1.763630451860074e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7993800000000029 y[1] (analytic) = 10.07216137475346 y[1] (numeric) = 10.07216137475346 absolute error = 3.552713678800501e-15 relative error = 3.527260482249234e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7993700000000029 y[1] (analytic) = 10.07216257828184 y[1] (numeric) = 10.07216257828183 absolute error = 3.552713678800501e-15 relative error = 3.527260060774895e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.799360000000003 y[1] (analytic) = 10.07216378182028 y[1] (numeric) = 10.07216378182028 absolute error = 3.552713678800501e-15 relative error = 3.527259639297128e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.799350000000003 y[1] (analytic) = 10.07216498536881 y[1] (numeric) = 10.0721649853688 absolute error = 3.552713678800501e-15 relative error = 3.527259217815934e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.799340000000003 y[1] (analytic) = 10.0721661889274 y[1] (numeric) = 10.0721661889274 absolute error = 1.77635683940025e-15 relative error = 1.763629398165657e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7993300000000031 y[1] (analytic) = 10.07216739249607 y[1] (numeric) = 10.07216739249606 absolute error = 1.77635683940025e-15 relative error = 1.763629187421633e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7993200000000031 y[1] (analytic) = 10.07216859607481 y[1] (numeric) = 10.07216859607481 absolute error = 1.77635683940025e-15 relative error = 1.763628976675896e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.58 x[1] = -0.7993100000000032 y[1] (analytic) = 10.07216979966362 y[1] (numeric) = 10.07216979966362 absolute error = 1.77635683940025e-15 relative error = 1.763628765928445e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7993000000000032 y[1] (analytic) = 10.0721710032625 y[1] (numeric) = 10.0721710032625 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992900000000033 y[1] (analytic) = 10.07217220687146 y[1] (numeric) = 10.07217220687146 absolute error = 1.77635683940025e-15 relative error = 1.763628344428404e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992800000000033 y[1] (analytic) = 10.0721734104905 y[1] (numeric) = 10.07217341049049 absolute error = 1.77635683940025e-15 relative error = 1.763628133675813e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992700000000034 y[1] (analytic) = 10.0721746141196 y[1] (numeric) = 10.0721746141196 absolute error = 1.77635683940025e-15 relative error = 1.763627922921509e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992600000000034 y[1] (analytic) = 10.07217581775878 y[1] (numeric) = 10.07217581775878 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992500000000035 y[1] (analytic) = 10.07217702140803 y[1] (numeric) = 10.07217702140803 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992400000000035 y[1] (analytic) = 10.07217822506735 y[1] (numeric) = 10.07217822506735 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992300000000035 y[1] (analytic) = 10.07217942873674 y[1] (numeric) = 10.07217942873674 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992200000000036 y[1] (analytic) = 10.07218063241621 y[1] (numeric) = 10.07218063241621 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992100000000036 y[1] (analytic) = 10.07218183610575 y[1] (numeric) = 10.07218183610575 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.24 Order of pole = 10.57 x[1] = -0.7992000000000037 y[1] (analytic) = 10.07218303980537 y[1] (numeric) = 10.07218303980537 absolute error = 1.77635683940025e-15 relative error = 1.763626447593407e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.57 x[1] = -0.7991900000000037 y[1] (analytic) = 10.07218424351506 y[1] (numeric) = 10.07218424351506 absolute error = 1.77635683940025e-15 relative error = 1.763626236825396e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.57 x[1] = -0.7991800000000038 y[1] (analytic) = 10.07218544723482 y[1] (numeric) = 10.07218544723482 absolute error = 1.77635683940025e-15 relative error = 1.763626026055671e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.57 x[1] = -0.7991700000000038 y[1] (analytic) = 10.07218665096465 y[1] (numeric) = 10.07218665096465 absolute error = 1.77635683940025e-15 relative error = 1.763625815284234e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7991600000000039 y[1] (analytic) = 10.07218785470456 y[1] (numeric) = 10.07218785470455 absolute error = 1.77635683940025e-15 relative error = 1.763625604511082e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7991500000000039 y[1] (analytic) = 10.07218905845454 y[1] (numeric) = 10.07218905845453 absolute error = 1.77635683940025e-15 relative error = 1.763625393736218e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.799140000000004 y[1] (analytic) = 10.07219026221459 y[1] (numeric) = 10.07219026221459 absolute error = 1.77635683940025e-15 relative error = 1.76362518295964e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.799130000000004 y[1] (analytic) = 10.07219146598471 y[1] (numeric) = 10.07219146598471 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.799120000000004 y[1] (analytic) = 10.07219266976491 y[1] (numeric) = 10.07219266976491 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7991100000000041 y[1] (analytic) = 10.07219387355518 y[1] (numeric) = 10.07219387355518 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7991000000000041 y[1] (analytic) = 10.07219507735552 y[1] (numeric) = 10.07219507735552 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990900000000042 y[1] (analytic) = 10.07219628116594 y[1] (numeric) = 10.07219628116594 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990800000000042 y[1] (analytic) = 10.07219748498643 y[1] (numeric) = 10.07219748498643 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990700000000043 y[1] (analytic) = 10.07219868881699 y[1] (numeric) = 10.07219868881699 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990600000000043 y[1] (analytic) = 10.07219989265763 y[1] (numeric) = 10.07219989265762 absolute error = 1.77635683940025e-15 relative error = 1.763623496685336e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990500000000044 y[1] (analytic) = 10.07220109650833 y[1] (numeric) = 10.07220109650833 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990400000000044 y[1] (analytic) = 10.07220230036911 y[1] (numeric) = 10.07220230036911 absolute error = 1.77635683940025e-15 relative error = 1.763623075099626e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.56 x[1] = -0.7990300000000045 y[1] (analytic) = 10.07220350423997 y[1] (numeric) = 10.07220350423997 absolute error = 1.77635683940025e-15 relative error = 1.763622864304201e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.55 x[1] = -0.7990200000000045 y[1] (analytic) = 10.07220470812089 y[1] (numeric) = 10.07220470812089 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.55 x[1] = -0.7990100000000045 y[1] (analytic) = 10.07220591201189 y[1] (numeric) = 10.07220591201189 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Real estimate of pole used Radius of convergence = 12.23 Order of pole = 10.55 x[1] = -0.7990000000000046 y[1] (analytic) = 10.07220711591296 y[1] (numeric) = 10.07220711591297 absolute error = 1.77635683940025e-15 relative error = 1.763622231907647e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = arcsin (0.1 * x + 0.2) ; Iterations = 100 Total Elapsed Time = 15 Seconds Elapsed Time(since restart) = 14 Seconds Expected Time Remaining = 6 Hours 35 Minutes 47 Seconds Optimized Time Remaining = 6 Hours 9 Minutes 24 Seconds Time to Timeout = 45 Seconds Percent Done = 0.06312 %