##############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_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(2.0/(1.0 - 2.0*x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y[1] (analytic) = 2 y[1] (numeric) = 2 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1e-05 y[1] (analytic) = 2.000040000800016 y[1] (numeric) = 2.000040000800016 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 2e-05 y[1] (analytic) = 2.000080003200128 y[1] (numeric) = 2.000080003200128 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 3e-05 y[1] (analytic) = 2.000120007200432 y[1] (numeric) = 2.000120007200432 absolute error = 4.440892098500626e-16 relative error = 2.220312822487358e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 4e-05 y[1] (analytic) = 2.000160012801024 y[1] (numeric) = 2.000160012801024 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 5e-05 y[1] (analytic) = 2.000200020002 y[1] (numeric) = 2.000200020002 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 6e-05 y[1] (analytic) = 2.000240028803456 y[1] (numeric) = 2.000240028803456 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 7.000000000000001e-05 y[1] (analytic) = 2.000280039205489 y[1] (numeric) = 2.000280039205489 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 8.000000000000001e-05 y[1] (analytic) = 2.000320051208193 y[1] (numeric) = 2.000320051208193 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000001e-05 y[1] (analytic) = 2.000360064811666 y[1] (numeric) = 2.000360064811666 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0001 y[1] (analytic) = 2.000400080016003 y[1] (numeric) = 2.000400080016003 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00011 y[1] (analytic) = 2.000440096821301 y[1] (numeric) = 2.000440096821301 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00012 y[1] (analytic) = 2.000480115227655 y[1] (numeric) = 2.000480115227655 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00013 y[1] (analytic) = 2.000520135235161 y[1] (numeric) = 2.000520135235161 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00014 y[1] (analytic) = 2.000560156843916 y[1] (numeric) = 2.000560156843916 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00015 y[1] (analytic) = 2.000600180054016 y[1] (numeric) = 2.000600180054016 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00016 y[1] (analytic) = 2.000640204865557 y[1] (numeric) = 2.000640204865557 absolute error = 4.440892098500626e-16 relative error = 2.219735506514553e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00017 y[1] (analytic) = 2.000680231278635 y[1] (numeric) = 2.000680231278634 absolute error = 4.440892098500626e-16 relative error = 2.219691097593568e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00018 y[1] (analytic) = 2.000720259293346 y[1] (numeric) = 2.000720259293345 absolute error = 4.440892098500626e-16 relative error = 2.219646688672583e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00019 y[1] (analytic) = 2.000760288909786 y[1] (numeric) = 2.000760288909786 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002 y[1] (analytic) = 2.000800320128051 y[1] (numeric) = 2.000800320128051 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00021 y[1] (analytic) = 2.000840352948238 y[1] (numeric) = 2.000840352948238 absolute error = 4.440892098500626e-16 relative error = 2.219513461909628e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00022 y[1] (analytic) = 2.000880387370443 y[1] (numeric) = 2.000880387370443 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00023 y[1] (analytic) = 2.000920423394762 y[1] (numeric) = 2.000920423394761 absolute error = 4.440892098500626e-16 relative error = 2.219424644067658e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00024 y[1] (analytic) = 2.00096046102129 y[1] (numeric) = 2.00096046102129 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00025 y[1] (analytic) = 2.001000500250125 y[1] (numeric) = 2.001000500250125 absolute error = 4.440892098500626e-16 relative error = 2.219335826225688e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00026 y[1] (analytic) = 2.001040541081362 y[1] (numeric) = 2.001040541081362 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002700000000000001 y[1] (analytic) = 2.001080583515098 y[1] (numeric) = 2.001080583515098 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002800000000000001 y[1] (analytic) = 2.001120627551429 y[1] (numeric) = 2.001120627551429 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002900000000000001 y[1] (analytic) = 2.001160673190451 y[1] (numeric) = 2.001160673190451 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003000000000000001 y[1] (analytic) = 2.001200720432259 y[1] (numeric) = 2.001200720432259 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003100000000000002 y[1] (analytic) = 2.001240769276952 y[1] (numeric) = 2.001240769276952 absolute error = 4.440892098500626e-16 relative error = 2.219069372699778e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003200000000000002 y[1] (analytic) = 2.001280819724624 y[1] (numeric) = 2.001280819724624 absolute error = 4.440892098500626e-16 relative error = 2.219024963778793e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003300000000000002 y[1] (analytic) = 2.001320871775372 y[1] (numeric) = 2.001320871775372 absolute error = 4.440892098500626e-16 relative error = 2.218980554857808e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003400000000000002 y[1] (analytic) = 2.001360925429292 y[1] (numeric) = 2.001360925429292 absolute error = 4.440892098500626e-16 relative error = 2.218936145936823e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003500000000000003 y[1] (analytic) = 2.001400980686481 y[1] (numeric) = 2.001400980686481 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003600000000000003 y[1] (analytic) = 2.001441037547034 y[1] (numeric) = 2.001441037547034 absolute error = 4.440892098500626e-16 relative error = 2.218847328094853e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003700000000000003 y[1] (analytic) = 2.001481096011048 y[1] (numeric) = 2.001481096011049 absolute error = 4.440892098500626e-16 relative error = 2.218802919173868e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003800000000000003 y[1] (analytic) = 2.00152115607862 y[1] (numeric) = 2.00152115607862 absolute error = 4.440892098500626e-16 relative error = 2.218758510252883e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003900000000000004 y[1] (analytic) = 2.001561217749845 y[1] (numeric) = 2.001561217749845 absolute error = 4.440892098500626e-16 relative error = 2.218714101331898e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004000000000000004 y[1] (analytic) = 2.00160128102482 y[1] (numeric) = 2.00160128102482 absolute error = 4.440892098500626e-16 relative error = 2.218669692410913e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004100000000000004 y[1] (analytic) = 2.001641345903641 y[1] (numeric) = 2.001641345903642 absolute error = 4.440892098500626e-16 relative error = 2.218625283489928e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004200000000000005 y[1] (analytic) = 2.001681412386405 y[1] (numeric) = 2.001681412386405 absolute error = 4.440892098500626e-16 relative error = 2.218580874568943e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004300000000000005 y[1] (analytic) = 2.001721480473207 y[1] (numeric) = 2.001721480473207 absolute error = 4.440892098500626e-16 relative error = 2.218536465647958e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004400000000000005 y[1] (analytic) = 2.001761550164145 y[1] (numeric) = 2.001761550164145 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004500000000000005 y[1] (analytic) = 2.001801621459313 y[1] (numeric) = 2.001801621459314 absolute error = 4.440892098500626e-16 relative error = 2.218447647805988e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004600000000000006 y[1] (analytic) = 2.00184169435881 y[1] (numeric) = 2.001841694358811 absolute error = 4.440892098500626e-16 relative error = 2.218403238885003e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004700000000000006 y[1] (analytic) = 2.001881768862731 y[1] (numeric) = 2.001881768862732 absolute error = 8.881784197001252e-16 relative error = 4.436717659928036e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004800000000000006 y[1] (analytic) = 2.001921844971172 y[1] (numeric) = 2.001921844971173 absolute error = 4.440892098500626e-16 relative error = 2.218314421043033e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004900000000000006 y[1] (analytic) = 2.00196192268423 y[1] (numeric) = 2.001961922684231 absolute error = 4.440892098500626e-16 relative error = 2.218270012122048e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005000000000000007 y[1] (analytic) = 2.002002002002002 y[1] (numeric) = 2.002002002002002 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005100000000000007 y[1] (analytic) = 2.002042082924583 y[1] (numeric) = 2.002042082924583 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005200000000000007 y[1] (analytic) = 2.00208216545207 y[1] (numeric) = 2.00208216545207 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005300000000000007 y[1] (analytic) = 2.00212224958456 y[1] (numeric) = 2.00212224958456 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005400000000000008 y[1] (analytic) = 2.002162335322148 y[1] (numeric) = 2.002162335322148 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005500000000000008 y[1] (analytic) = 2.002202422664932 y[1] (numeric) = 2.002202422664932 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005600000000000008 y[1] (analytic) = 2.002242511613006 y[1] (numeric) = 2.002242511613006 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005700000000000008 y[1] (analytic) = 2.00228260216647 y[1] (numeric) = 2.00228260216647 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005800000000000009 y[1] (analytic) = 2.002322694325418 y[1] (numeric) = 2.002322694325418 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005900000000000009 y[1] (analytic) = 2.002362788089946 y[1] (numeric) = 2.002362788089946 absolute error = 4.440892098500626e-16 relative error = 2.217825922912198e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006000000000000009 y[1] (analytic) = 2.002402883460152 y[1] (numeric) = 2.002402883460153 absolute error = 4.440892098500626e-16 relative error = 2.217781513991213e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006100000000000009 y[1] (analytic) = 2.002442980436132 y[1] (numeric) = 2.002442980436133 absolute error = 4.440892098500626e-16 relative error = 2.217737105070228e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000620000000000001 y[1] (analytic) = 2.002483079017982 y[1] (numeric) = 2.002483079017983 absolute error = 4.440892098500626e-16 relative error = 2.217692696149243e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000630000000000001 y[1] (analytic) = 2.002523179205799 y[1] (numeric) = 2.0025231792058 absolute error = 4.440892098500626e-16 relative error = 2.217648287228258e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000640000000000001 y[1] (analytic) = 2.002563280999679 y[1] (numeric) = 2.00256328099968 absolute error = 4.440892098500626e-16 relative error = 2.217603878307273e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006500000000000011 y[1] (analytic) = 2.00260338439972 y[1] (numeric) = 2.00260338439972 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006600000000000011 y[1] (analytic) = 2.002643489406016 y[1] (numeric) = 2.002643489406016 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006700000000000011 y[1] (analytic) = 2.002683596018665 y[1] (numeric) = 2.002683596018665 absolute error = 4.440892098500626e-16 relative error = 2.217470651544318e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006800000000000011 y[1] (analytic) = 2.002723704237763 y[1] (numeric) = 2.002723704237764 absolute error = 4.440892098500626e-16 relative error = 2.217426242623333e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006900000000000012 y[1] (analytic) = 2.002763814063408 y[1] (numeric) = 2.002763814063408 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007000000000000012 y[1] (analytic) = 2.002803925495694 y[1] (numeric) = 2.002803925495694 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007100000000000012 y[1] (analytic) = 2.002844038534719 y[1] (numeric) = 2.002844038534719 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007200000000000012 y[1] (analytic) = 2.00288415318058 y[1] (numeric) = 2.00288415318058 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007300000000000013 y[1] (analytic) = 2.002924269433373 y[1] (numeric) = 2.002924269433373 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007400000000000013 y[1] (analytic) = 2.002964387293194 y[1] (numeric) = 2.002964387293194 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007500000000000013 y[1] (analytic) = 2.00300450676014 y[1] (numeric) = 2.00300450676014 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007600000000000013 y[1] (analytic) = 2.003044627834308 y[1] (numeric) = 2.003044627834308 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007700000000000014 y[1] (analytic) = 2.003084750515794 y[1] (numeric) = 2.003084750515794 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007800000000000014 y[1] (analytic) = 2.003124874804695 y[1] (numeric) = 2.003124874804695 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007900000000000014 y[1] (analytic) = 2.003165000701108 y[1] (numeric) = 2.003165000701108 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008000000000000014 y[1] (analytic) = 2.003205128205128 y[1] (numeric) = 2.003205128205128 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008100000000000015 y[1] (analytic) = 2.003245257316853 y[1] (numeric) = 2.003245257316853 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008200000000000015 y[1] (analytic) = 2.003285388036379 y[1] (numeric) = 2.00328538803638 absolute error = 4.440892098500626e-16 relative error = 2.216804517729543e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008300000000000015 y[1] (analytic) = 2.003325520363804 y[1] (numeric) = 2.003325520363804 absolute error = 4.440892098500626e-16 relative error = 2.216760108808558e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008400000000000016 y[1] (analytic) = 2.003365654299223 y[1] (numeric) = 2.003365654299223 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008500000000000016 y[1] (analytic) = 2.003405789842732 y[1] (numeric) = 2.003405789842733 absolute error = 4.440892098500626e-16 relative error = 2.216671290966588e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008600000000000016 y[1] (analytic) = 2.00344592699443 y[1] (numeric) = 2.003445926994431 absolute error = 4.440892098500626e-16 relative error = 2.216626882045603e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008700000000000016 y[1] (analytic) = 2.003486065754413 y[1] (numeric) = 2.003486065754413 absolute error = 4.440892098500626e-16 relative error = 2.216582473124617e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008800000000000017 y[1] (analytic) = 2.003526206122776 y[1] (numeric) = 2.003526206122777 absolute error = 4.440892098500626e-16 relative error = 2.216538064203632e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008900000000000017 y[1] (analytic) = 2.003566348099617 y[1] (numeric) = 2.003566348099618 absolute error = 4.440892098500626e-16 relative error = 2.216493655282648e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009000000000000017 y[1] (analytic) = 2.003606491685033 y[1] (numeric) = 2.003606491685034 absolute error = 4.440892098500626e-16 relative error = 2.216449246361662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009100000000000017 y[1] (analytic) = 2.00364663687912 y[1] (numeric) = 2.00364663687912 absolute error = 4.440892098500626e-16 relative error = 2.216404837440677e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009200000000000018 y[1] (analytic) = 2.003686783681975 y[1] (numeric) = 2.003686783681975 absolute error = 4.440892098500626e-16 relative error = 2.216360428519692e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009300000000000018 y[1] (analytic) = 2.003726932093694 y[1] (numeric) = 2.003726932093695 absolute error = 8.881784197001252e-16 relative error = 4.432632039197415e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009400000000000018 y[1] (analytic) = 2.003767082114375 y[1] (numeric) = 2.003767082114376 absolute error = 4.440892098500626e-16 relative error = 2.216271610677722e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009500000000000018 y[1] (analytic) = 2.003807233744114 y[1] (numeric) = 2.003807233744114 absolute error = 4.440892098500626e-16 relative error = 2.216227201756737e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009600000000000019 y[1] (analytic) = 2.003847386983007 y[1] (numeric) = 2.003847386983008 absolute error = 4.440892098500626e-16 relative error = 2.216182792835753e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009700000000000019 y[1] (analytic) = 2.003887541831153 y[1] (numeric) = 2.003887541831153 absolute error = 4.440892098500626e-16 relative error = 2.216138383914767e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009800000000000019 y[1] (analytic) = 2.003927698288646 y[1] (numeric) = 2.003927698288646 absolute error = 8.881784197001252e-16 relative error = 4.432187949987565e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009900000000000019 y[1] (analytic) = 2.003967856355584 y[1] (numeric) = 2.003967856355585 absolute error = 8.881784197001252e-16 relative error = 4.432099132145595e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.001000000000000002 y[1] (analytic) = 2.004008016032064 y[1] (numeric) = 2.004008016032065 absolute error = 4.440892098500626e-16 relative error = 2.216005157151812e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = y * y; Iterations = 100 Total Elapsed Time = 13 Seconds Elapsed Time(since restart) = 13 Seconds Expected Time Remaining = 42 Minutes 41 Seconds Optimized Time Remaining = 39 Minutes 24 Seconds Time to Timeout = 47 Seconds Percent Done = 0.505 %