##############ECHO OF PROBLEM################# ##############temp/mult_lin_linpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 0.2) * (0.2 * x + 0.3); ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; 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(0.06 * x + 2.0/300.0 * x * x * x + 0.035 * x * x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.006356666666666667 y[1] (numeric) = 0.006356666666666667 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.006357338670366673 y[1] (numeric) = 0.006357338670366673 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.00635801068146672 y[1] (numeric) = 0.00635801068146672 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.006358682699966846 y[1] (numeric) = 0.006358682699966847 absolute error = 8.673617379884035e-19 relative error = 1.364058845070105e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.006359354725867092 y[1] (numeric) = 0.006359354725867093 absolute error = 8.673617379884035e-19 relative error = 1.363914697917939e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.006360026759167499 y[1] (numeric) = 0.0063600267591675 absolute error = 8.673617379884035e-19 relative error = 1.363770579641299e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.006360698799868105 y[1] (numeric) = 0.006360698799868106 absolute error = 8.673617379884035e-19 relative error = 1.363626490231528e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.006361370847968952 y[1] (numeric) = 0.006361370847968953 absolute error = 8.673617379884035e-19 relative error = 1.36348242967997e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.006362042903470078 y[1] (numeric) = 0.006362042903470079 absolute error = 8.673617379884035e-19 relative error = 1.363338397977974e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.006362714966371525 y[1] (numeric) = 0.006362714966371526 absolute error = 8.673617379884035e-19 relative error = 1.363194395116893e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.006363387036673331 y[1] (numeric) = 0.006363387036673333 absolute error = 1.734723475976807e-18 relative error = 2.726100842176167e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.006364059114375538 y[1] (numeric) = 0.006364059114375539 absolute error = 1.734723475976807e-18 relative error = 2.725812951765807e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.006364731199478183 y[1] (numeric) = 0.006364731199478186 absolute error = 2.602085213965211e-18 relative error = 4.088287678478149e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.00636540329198131 y[1] (numeric) = 0.006365403291981313 absolute error = 2.602085213965211e-18 relative error = 4.087856015726663e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.006366075391884956 y[1] (numeric) = 0.006366075391884959 absolute error = 2.602085213965211e-18 relative error = 4.087424439368364e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.006366747499189163 y[1] (numeric) = 0.006366747499189166 absolute error = 2.602085213965211e-18 relative error = 4.086992949377369e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.00636741961389397 y[1] (numeric) = 0.006367419613893972 absolute error = 2.602085213965211e-18 relative error = 4.086561545727809e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.006368091735999416 y[1] (numeric) = 0.006368091735999419 absolute error = 2.602085213965211e-18 relative error = 4.086130228393822e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.006368763865505542 y[1] (numeric) = 0.006368763865505545 absolute error = 3.469446951953614e-18 relative error = 5.447598663132748e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.006369436002412389 y[1] (numeric) = 0.006369436002412391 absolute error = 2.602085213965211e-18 relative error = 4.085267852569183e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.006370108146719995 y[1] (numeric) = 0.006370108146719998 absolute error = 3.469446951953614e-18 relative error = 5.446449058702484e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.006370780298428401 y[1] (numeric) = 0.006370780298428405 absolute error = 3.469446951953614e-18 relative error = 5.445874428929039e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.006371452457537648 y[1] (numeric) = 0.006371452457537652 absolute error = 3.469446951953614e-18 relative error = 5.445299914070831e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.006372124624047774 y[1] (numeric) = 0.006372124624047779 absolute error = 4.336808689942018e-18 relative error = 6.805906892616831e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.006372796797958821 y[1] (numeric) = 0.006372796797958825 absolute error = 4.336808689942018e-18 relative error = 6.805189036203192e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.006373468979270827 y[1] (numeric) = 0.006373468979270831 absolute error = 4.336808689942018e-18 relative error = 6.804471323304662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.006374141167983833 y[1] (numeric) = 0.006374141167983838 absolute error = 4.336808689942018e-18 relative error = 6.803753753878294e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.006374813364097879 y[1] (numeric) = 0.006374813364097885 absolute error = 5.204170427930421e-18 relative error = 8.163643593457391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.006375485567613006 y[1] (numeric) = 0.006375485567613011 absolute error = 5.204170427930421e-18 relative error = 8.162782854324415e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.006376157778529253 y[1] (numeric) = 0.006376157778529258 absolute error = 5.204170427930421e-18 relative error = 8.161922287203554e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.006376829996846659 y[1] (numeric) = 0.006376829996846665 absolute error = 6.071532165918825e-18 relative error = 9.521238874050581e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.006377502222565266 y[1] (numeric) = 0.006377502222565271 absolute error = 5.204170427930421e-18 relative error = 8.160201668792383e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.006378174455685112 y[1] (numeric) = 0.006378174455685118 absolute error = 6.071532165918825e-18 relative error = 9.519231886965769e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.006378846696206238 y[1] (numeric) = 0.006378846696206244 absolute error = 6.071532165918825e-18 relative error = 9.518228694114587e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.006379518944128685 y[1] (numeric) = 0.006379518944128691 absolute error = 6.071532165918825e-18 relative error = 9.517225701644303e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.006380191199452491 y[1] (numeric) = 0.006380191199452497 absolute error = 6.071532165918825e-18 relative error = 9.51622290949501e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.006380863462177698 y[1] (numeric) = 0.006380863462177704 absolute error = 6.071532165918825e-18 relative error = 9.515220317606823e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.006381535732304344 y[1] (numeric) = 0.006381535732304351 absolute error = 6.938893903907228e-18 relative error = 1.087339191533701e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.00638220800983247 y[1] (numeric) = 0.006382208009832477 absolute error = 6.938893903907228e-18 relative error = 1.087224655357068e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.006382880294762116 y[1] (numeric) = 0.006382880294762124 absolute error = 7.806255641895632e-18 relative error = 1.222998909802767e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.006383552587093323 y[1] (numeric) = 0.00638355258709333 absolute error = 6.938893903907228e-18 relative error = 1.086995651596374e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.00638422488682613 y[1] (numeric) = 0.006384224886826137 absolute error = 6.938893903907228e-18 relative error = 1.08688118399865e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.006384897193960576 y[1] (numeric) = 0.006384897193960583 absolute error = 7.806255641895632e-18 relative error = 1.222612581652765e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.006385569508496702 y[1] (numeric) = 0.00638556950849671 absolute error = 7.806255641895632e-18 relative error = 1.222483857001094e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.006386241830434548 y[1] (numeric) = 0.006386241830434556 absolute error = 7.806255641895632e-18 relative error = 1.222355158035796e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.006386914159774155 y[1] (numeric) = 0.006386914159774163 absolute error = 7.806255641895632e-18 relative error = 1.222226484749196e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.006387586496515562 y[1] (numeric) = 0.00638758649651557 absolute error = 7.806255641895632e-18 relative error = 1.222097837133627e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.006388258840658808 y[1] (numeric) = 0.006388258840658817 absolute error = 8.673617379884035e-18 relative error = 1.357743572423804e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.006388931192203935 y[1] (numeric) = 0.006388931192203943 absolute error = 8.673617379884035e-18 relative error = 1.357600687649912e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.006389603551150981 y[1] (numeric) = 0.00638960355115099 absolute error = 9.540979117872439e-18 relative error = 1.493203614511231e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.006390275917499987 y[1] (numeric) = 0.006390275917499997 absolute error = 9.540979117872439e-18 relative error = 1.493046503945807e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.006390948291250993 y[1] (numeric) = 0.006390948291251004 absolute error = 1.040834085586084e-17 relative error = 1.628606645137394e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.00639162067240404 y[1] (numeric) = 0.006391620672404051 absolute error = 1.040834085586084e-17 relative error = 1.628435320137047e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.006392293060959166 y[1] (numeric) = 0.006392293060959177 absolute error = 1.127570259384925e-17 relative error = 1.763952698401053e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.006392965456916413 y[1] (numeric) = 0.006392965456916424 absolute error = 1.040834085586084e-17 relative error = 1.628092772595898e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.006393637860275819 y[1] (numeric) = 0.00639363786027583 absolute error = 1.127570259384925e-17 relative error = 1.763581679204273e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.006394310271037425 y[1] (numeric) = 0.006394310271037437 absolute error = 1.127570259384925e-17 relative error = 1.763396225066172e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.006394982689201272 y[1] (numeric) = 0.006394982689201283 absolute error = 1.127570259384925e-17 relative error = 1.763210807886889e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.006395655114767399 y[1] (numeric) = 0.00639565511476741 absolute error = 1.127570259384925e-17 relative error = 1.763025427655401e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.006396327547735845 y[1] (numeric) = 0.006396327547735857 absolute error = 1.214306433183765e-17 relative error = 1.898443167773048e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.006396999988106652 y[1] (numeric) = 0.006396999988106664 absolute error = 1.214306433183765e-17 relative error = 1.89824360706802e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.006397672435879857 y[1] (numeric) = 0.00639767243587987 absolute error = 1.301042606982605e-17 relative error = 2.033618663697145e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.006398344891055504 y[1] (numeric) = 0.006398344891055517 absolute error = 1.301042606982605e-17 relative error = 2.033404933831222e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.00639901735363363 y[1] (numeric) = 0.006399017353633644 absolute error = 1.387778780781446e-17 relative error = 2.168737329636099e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.006399689823614277 y[1] (numeric) = 0.006399689823614291 absolute error = 1.387778780781446e-17 relative error = 2.168509441911806e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.006400362300997484 y[1] (numeric) = 0.006400362300997497 absolute error = 1.387778780781446e-17 relative error = 2.168281599566892e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.00640103478578329 y[1] (numeric) = 0.006401034785783304 absolute error = 1.387778780781446e-17 relative error = 2.168053802587833e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.006401707277971736 y[1] (numeric) = 0.00640170727797175 absolute error = 1.387778780781446e-17 relative error = 2.167826050961109e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.006402379777562863 y[1] (numeric) = 0.006402379777562877 absolute error = 1.387778780781446e-17 relative error = 2.167598344673204e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.006403052284556709 y[1] (numeric) = 0.006403052284556723 absolute error = 1.387778780781446e-17 relative error = 2.16737068371061e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.006403724798953315 y[1] (numeric) = 0.00640372479895333 absolute error = 1.474514954580286e-17 relative error = 2.302589509813561e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.006404397320752721 y[1] (numeric) = 0.006404397320752737 absolute error = 1.561251128379126e-17 relative error = 2.437779934920761e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.006405069849954968 y[1] (numeric) = 0.006405069849954983 absolute error = 1.561251128379126e-17 relative error = 2.437523969219638e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.006405742386560095 y[1] (numeric) = 0.00640574238656011 absolute error = 1.561251128379126e-17 relative error = 2.437268054448758e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.006406414930568141 y[1] (numeric) = 0.006406414930568156 absolute error = 1.561251128379126e-17 relative error = 2.437012190592953e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.006407087481979147 y[1] (numeric) = 0.006407087481979163 absolute error = 1.561251128379126e-17 relative error = 2.436756377637061e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.006407760040793154 y[1] (numeric) = 0.006407760040793169 absolute error = 1.561251128379126e-17 relative error = 2.436500615565926e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.0064084326070102 y[1] (numeric) = 0.006408432607010216 absolute error = 1.561251128379126e-17 relative error = 2.436244904364399e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.006409105180630327 y[1] (numeric) = 0.006409105180630342 absolute error = 1.561251128379126e-17 relative error = 2.435989244017336e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.006409777761653573 y[1] (numeric) = 0.006409777761653589 absolute error = 1.647987302177967e-17 relative error = 2.571052169760133e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.00641045035007998 y[1] (numeric) = 0.006410450350079996 absolute error = 1.647987302177967e-17 relative error = 2.570782413371949e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.006411122945909586 y[1] (numeric) = 0.006411122945909602 absolute error = 1.647987302177967e-17 relative error = 2.57051271061556e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.006411795549142433 y[1] (numeric) = 0.006411795549142449 absolute error = 1.647987302177967e-17 relative error = 2.570243061475007e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.006412468159778559 y[1] (numeric) = 0.006412468159778576 absolute error = 1.734723475976807e-17 relative error = 2.7052352272993e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.006413140777818005 y[1] (numeric) = 0.006413140777818023 absolute error = 1.821459649775647e-17 relative error = 2.840199073869976e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.006413813403260811 y[1] (numeric) = 0.00641381340326083 absolute error = 1.908195823574488e-17 relative error = 2.975134609629199e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.006414486036107018 y[1] (numeric) = 0.006414486036107037 absolute error = 1.908195823574488e-17 relative error = 2.97482263244988e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.006415158676356664 y[1] (numeric) = 0.006415158676356684 absolute error = 1.994931997373328e-17 relative error = 3.109715749862484e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.006415831324009791 y[1] (numeric) = 0.006415831324009811 absolute error = 1.994931997373328e-17 relative error = 3.109389721496805e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.006416503979066437 y[1] (numeric) = 0.006416503979066457 absolute error = 1.994931997373328e-17 relative error = 3.109063757899483e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.006417176641526644 y[1] (numeric) = 0.006417176641526664 absolute error = 1.994931997373328e-17 relative error = 3.108737859051258e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.00641784931139045 y[1] (numeric) = 0.00641784931139047 absolute error = 2.081668171172169e-17 relative error = 3.243560373843006e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.006418521988657896 y[1] (numeric) = 0.006418521988657917 absolute error = 2.081668171172169e-17 relative error = 3.243220440547937e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.006419194673329022 y[1] (numeric) = 0.006419194673329043 absolute error = 2.081668171172169e-17 relative error = 3.242880574756905e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.006419867365403869 y[1] (numeric) = 0.00641986736540389 absolute error = 2.081668171172169e-17 relative error = 3.242540776449846e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.006420540064882475 y[1] (numeric) = 0.006420540064882496 absolute error = 2.081668171172169e-17 relative error = 3.242201045606702e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.006421212771764882 y[1] (numeric) = 0.006421212771764903 absolute error = 2.081668171172169e-17 relative error = 3.241861382207427e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.006421885486051129 y[1] (numeric) = 0.006421885486051149 absolute error = 2.081668171172169e-17 relative error = 3.241521786231981e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.006422558207741255 y[1] (numeric) = 0.006422558207741276 absolute error = 2.081668171172169e-17 relative error = 3.24118225766033e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.006423230936835301 y[1] (numeric) = 0.006423230936835322 absolute error = 2.081668171172169e-17 relative error = 3.240842796472452e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.006423903673333307 y[1] (numeric) = 0.006423903673333329 absolute error = 2.168404344971009e-17 relative error = 3.375524377758677e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = (0.1 * x + 0.2) * (0.2 * x + 0.3); Iterations = 100 Total Elapsed Time = 12 Seconds Elapsed Time(since restart) = 11 Seconds Expected Time Remaining = 16 Hours 10 Minutes 5 Seconds Optimized Time Remaining = 14 Hours 49 Minutes 15 Seconds Time to Timeout = 48 Seconds Percent Done = 0.02061 %