##############ECHO OF PROBLEM################# ##############temp/mult_c_linpostode.ode################# diff ( y , x , 1 ) = 2.0 * (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(0.2 * x * x + 0.6 * x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.062 y[1] (numeric) = 0.062 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) = 0.06200640002 y[1] (numeric) = 0.06200640002 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) = 0.06201280008 y[1] (numeric) = 0.06201280008 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) = 0.06201920017999999 y[1] (numeric) = 0.06201920018 absolute error = 6.938893903907228e-18 relative error = 1.11882995649223e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.06202560031999999 y[1] (numeric) = 0.06202560032 absolute error = 6.938893903907228e-18 relative error = 1.118714509510326e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.06203200049999999 y[1] (numeric) = 0.0620320005 absolute error = 6.938893903907228e-18 relative error = 1.118599085629558e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.06203840071999998 y[1] (numeric) = 0.06203840072 absolute error = 1.387778780781446e-17 relative error = 2.236967369686003e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.06204480097999998 y[1] (numeric) = 0.06204480097999999 absolute error = 1.387778780781446e-17 relative error = 2.236736614287462e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.06205120127999998 y[1] (numeric) = 0.06205120128 absolute error = 1.387778780781446e-17 relative error = 2.236505905049653e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.06205760161999998 y[1] (numeric) = 0.06205760161999999 absolute error = 1.387778780781446e-17 relative error = 2.23627524195874e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.06206400199999998 y[1] (numeric) = 0.06206400199999999 absolute error = 1.387778780781446e-17 relative error = 2.236044625000892e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.06207040241999998 y[1] (numeric) = 0.06207040241999999 absolute error = 1.387778780781446e-17 relative error = 2.235814054162284e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.06207680287999997 y[1] (numeric) = 0.06207680287999999 absolute error = 2.081668171172169e-17 relative error = 3.353375294143643e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.06208320337999997 y[1] (numeric) = 0.06208320337999999 absolute error = 2.081668171172169e-17 relative error = 3.35302957618127e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.06208960391999997 y[1] (numeric) = 0.06208960391999999 absolute error = 2.775557561562891e-17 relative error = 4.470245236447456e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.06209600449999996 y[1] (numeric) = 0.0620960045 absolute error = 3.469446951953614e-17 relative error = 5.587230579309843e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.06210240511999996 y[1] (numeric) = 0.06210240512 absolute error = 3.469446951953614e-17 relative error = 5.586654728185858e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.06210880577999996 y[1] (numeric) = 0.06210880578 absolute error = 4.163336342344337e-17 relative error = 6.703294790583461e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.06211520647999996 y[1] (numeric) = 0.06211520648 absolute error = 4.163336342344337e-17 relative error = 6.702604045411747e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.06212160721999995 y[1] (numeric) = 0.06212160722 absolute error = 4.85722573273506e-17 relative error = 7.818899011310969e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.06212800799999995 y[1] (numeric) = 0.062128008 absolute error = 4.85722573273506e-17 relative error = 7.818093463957615e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.06213440881999995 y[1] (numeric) = 0.06213440882 absolute error = 4.85722573273506e-17 relative error = 7.817288077538779e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.06214080967999994 y[1] (numeric) = 0.06214080968 absolute error = 5.551115123125783e-17 relative error = 8.93312325943576e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.06214721057999995 y[1] (numeric) = 0.06214721058 absolute error = 5.551115123125783e-17 relative error = 8.932203185499412e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.06215361151999994 y[1] (numeric) = 0.06215361152 absolute error = 5.551115123125783e-17 relative error = 8.931283295323123e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.06216001249999994 y[1] (numeric) = 0.0621600125 absolute error = 6.245004513516506e-17 relative error = 1.004665903745838e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.06216641351999994 y[1] (numeric) = 0.06216641352 absolute error = 6.245004513516506e-17 relative error = 1.004562457428461e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.06217281457999994 y[1] (numeric) = 0.06217281458 absolute error = 6.245004513516506e-17 relative error = 1.004459031765538e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.06217921567999993 y[1] (numeric) = 0.06217921568 absolute error = 6.245004513516506e-17 relative error = 1.004355626750889e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.06218561681999993 y[1] (numeric) = 0.06218561682 absolute error = 6.938893903907228e-17 relative error = 1.115835824864821e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.06219201799999993 y[1] (numeric) = 0.06219201799999999 absolute error = 6.938893903907228e-17 relative error = 1.115720976268568e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.06219841921999993 y[1] (numeric) = 0.06219841922 absolute error = 6.938893903907228e-17 relative error = 1.115606150594262e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.06220482047999992 y[1] (numeric) = 0.06220482047999999 absolute error = 6.938893903907228e-17 relative error = 1.115491347835048e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.06221122177999992 y[1] (numeric) = 0.06221122177999999 absolute error = 6.938893903907228e-17 relative error = 1.115376567984072e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.06221762311999992 y[1] (numeric) = 0.06221762311999999 absolute error = 6.938893903907228e-17 relative error = 1.115261811034487e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.06222402449999991 y[1] (numeric) = 0.06222402449999999 absolute error = 7.632783294297951e-17 relative error = 1.22666178467739e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.06223042591999992 y[1] (numeric) = 0.06223042591999999 absolute error = 7.632783294297951e-17 relative error = 1.226535602393313e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.06223682737999991 y[1] (numeric) = 0.06223682737999999 absolute error = 8.326672684688674e-17 relative error = 1.337901213030742e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.0622432288799999 y[1] (numeric) = 0.06224322887999999 absolute error = 9.020562075079397e-17 relative error = 1.449243915747099e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.0622496304199999 y[1] (numeric) = 0.06224963041999999 absolute error = 9.020562075079397e-17 relative error = 1.449094880438233e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.0622560319999999 y[1] (numeric) = 0.062256032 absolute error = 9.71445146547012e-17 relative error = 1.560403249836118e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.0622624336199999 y[1] (numeric) = 0.06226243361999999 absolute error = 9.71445146547012e-17 relative error = 1.560242814272144e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.0622688352799999 y[1] (numeric) = 0.06226883528 absolute error = 9.71445146547012e-17 relative error = 1.56008241069354e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.06227523697999989 y[1] (numeric) = 0.06227523698 absolute error = 1.040834085586084e-16 relative error = 1.671345041882948e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.06228163871999989 y[1] (numeric) = 0.06228163872 absolute error = 1.040834085586084e-16 relative error = 1.671173249415243e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.06228804049999989 y[1] (numeric) = 0.0622880405 absolute error = 1.040834085586084e-16 relative error = 1.671001491186877e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.06229444231999989 y[1] (numeric) = 0.06229444232 absolute error = 1.110223024625157e-16 relative error = 1.782218418333468e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.06230084417999988 y[1] (numeric) = 0.06230084418 absolute error = 1.110223024625157e-16 relative error = 1.782035282567753e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.06230724607999989 y[1] (numeric) = 0.06230724608 absolute error = 1.110223024625157e-16 relative error = 1.781852183291293e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.06231364801999988 y[1] (numeric) = 0.06231364801999999 absolute error = 1.110223024625157e-16 relative error = 1.781669120493194e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.06232004999999988 y[1] (numeric) = 0.06232004999999999 absolute error = 1.179611963664229e-16 relative error = 1.892828975047727e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.06232645201999987 y[1] (numeric) = 0.06232645201999999 absolute error = 1.179611963664229e-16 relative error = 1.892634548306559e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.06233285407999987 y[1] (numeric) = 0.06233285407999999 absolute error = 1.179611963664229e-16 relative error = 1.892440160288953e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.06233925617999987 y[1] (numeric) = 0.06233925617999999 absolute error = 1.179611963664229e-16 relative error = 1.892245810983353e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.06234565831999987 y[1] (numeric) = 0.06234565831999999 absolute error = 1.249000902703301e-16 relative error = 2.00334864745928e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.06235206049999986 y[1] (numeric) = 0.06235206049999999 absolute error = 1.249000902703301e-16 relative error = 2.003142947783263e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.06235846271999986 y[1] (numeric) = 0.06235846271999999 absolute error = 1.249000902703301e-16 relative error = 2.002937289059752e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.06236486497999986 y[1] (numeric) = 0.06236486497999999 absolute error = 1.318389841742373e-16 relative error = 2.113994541903002e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.06237126727999986 y[1] (numeric) = 0.06237126727999999 absolute error = 1.318389841742373e-16 relative error = 2.113777544111456e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.06237766961999985 y[1] (numeric) = 0.06237766961999999 absolute error = 1.387778780781446e-16 relative error = 2.224800620535668e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.06238407199999985 y[1] (numeric) = 0.06238407199999999 absolute error = 1.387778780781446e-16 relative error = 2.224572292718322e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.06239047441999985 y[1] (numeric) = 0.06239047441999999 absolute error = 1.457167719820518e-16 relative error = 2.335561210852741e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.06239687687999985 y[1] (numeric) = 0.06239687687999999 absolute error = 1.457167719820518e-16 relative error = 2.335321562043734e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.06240327937999984 y[1] (numeric) = 0.06240327938 absolute error = 1.52655665885959e-16 relative error = 2.446276340004095e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.06240968191999984 y[1] (numeric) = 0.06240968191999999 absolute error = 1.52655665885959e-16 relative error = 2.446025379229483e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.06241608449999984 y[1] (numeric) = 0.0624160845 absolute error = 1.595945597898663e-16 relative error = 2.556946035118026e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.06242248711999984 y[1] (numeric) = 0.06242248711999999 absolute error = 1.595945597898663e-16 relative error = 2.556683771395789e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.06242888977999984 y[1] (numeric) = 0.06242888978 absolute error = 1.595945597898663e-16 relative error = 2.556421559830383e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.06243529247999983 y[1] (numeric) = 0.06243529247999999 absolute error = 1.595945597898663e-16 relative error = 2.556159400406266e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.06244169521999983 y[1] (numeric) = 0.06244169522 absolute error = 1.665334536937735e-16 relative error = 2.667023262373464e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.06244809799999983 y[1] (numeric) = 0.06244809799999999 absolute error = 1.665334536937735e-16 relative error = 2.666749813481492e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.06245450081999983 y[1] (numeric) = 0.06245450081999999 absolute error = 1.665334536937735e-16 relative error = 2.666476418949207e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.06246090367999983 y[1] (numeric) = 0.06246090367999999 absolute error = 1.665334536937735e-16 relative error = 2.666203078760419e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.06246730657999982 y[1] (numeric) = 0.06246730657999999 absolute error = 1.734723475976807e-16 relative error = 2.777010200936395e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.06247370951999982 y[1] (numeric) = 0.06247370951999999 absolute error = 1.734723475976807e-16 relative error = 2.776725584738116e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.06248011249999982 y[1] (numeric) = 0.06248011249999999 absolute error = 1.734723475976807e-16 relative error = 2.776441025097085e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.06248651551999981 y[1] (numeric) = 0.06248651551999999 absolute error = 1.734723475976807e-16 relative error = 2.776156521996463e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.06249291857999981 y[1] (numeric) = 0.06249291857999999 absolute error = 1.734723475976807e-16 relative error = 2.775872075419416e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.06249932167999981 y[1] (numeric) = 0.06249932167999999 absolute error = 1.804112415015879e-16 relative error = 2.886611192763084e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.0625057248199998 y[1] (numeric) = 0.06250572482 absolute error = 1.942890293094024e-16 relative error = 3.108339753981002e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.06251212799999981 y[1] (numeric) = 0.062512128 absolute error = 1.942890293094024e-16 relative error = 3.10802136362088e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.0625185312199998 y[1] (numeric) = 0.06251853122000001 absolute error = 2.081668171172169e-16 relative error = 3.329681824812671e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.06252493447999979 y[1] (numeric) = 0.06252493448 absolute error = 2.081668171172169e-16 relative error = 3.329340827758953e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.06253133777999979 y[1] (numeric) = 0.06253133778 absolute error = 2.081668171172169e-16 relative error = 3.328999898412497e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.0625377411199998 y[1] (numeric) = 0.06253774112 absolute error = 2.081668171172169e-16 relative error = 3.328659036753158e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.06254414449999979 y[1] (numeric) = 0.06254414450000001 absolute error = 2.220446049250313e-16 relative error = 3.55020612561152e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.06255054791999978 y[1] (numeric) = 0.06255054792 absolute error = 2.220446049250313e-16 relative error = 3.549842684176316e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.06255695137999978 y[1] (numeric) = 0.06255695138 absolute error = 2.220446049250313e-16 relative error = 3.549479314876295e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.06256335487999978 y[1] (numeric) = 0.06256335488 absolute error = 2.220446049250313e-16 relative error = 3.549116017690004e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.06256975841999977 y[1] (numeric) = 0.06256975842000001 absolute error = 2.359223927328458e-16 relative error = 3.770549842133251e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.06257616199999978 y[1] (numeric) = 0.062576162 absolute error = 2.220446049250313e-16 relative error = 3.548389639572847e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.06258256561999978 y[1] (numeric) = 0.06258256562 absolute error = 2.220446049250313e-16 relative error = 3.548026558599118e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.06258896927999977 y[1] (numeric) = 0.06258896928 absolute error = 2.359223927328458e-16 relative error = 3.769392521506733e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.06259537297999977 y[1] (numeric) = 0.06259537298000001 absolute error = 2.359223927328458e-16 relative error = 3.769006901008909e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.06260177671999977 y[1] (numeric) = 0.06260177672 absolute error = 2.359223927328458e-16 relative error = 3.768621356995355e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.06260818049999976 y[1] (numeric) = 0.0626081805 absolute error = 2.359223927328458e-16 relative error = 3.76823588944334e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.06261458431999976 y[1] (numeric) = 0.06261458432 absolute error = 2.359223927328458e-16 relative error = 3.767850498330141e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.06262098817999977 y[1] (numeric) = 0.06262098818 absolute error = 2.359223927328458e-16 relative error = 3.767465183633048e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.06262739207999976 y[1] (numeric) = 0.06262739208 absolute error = 2.359223927328458e-16 relative error = 3.767079945329358e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.06263379601999976 y[1] (numeric) = 0.06263379601999999 absolute error = 2.359223927328458e-16 relative error = 3.766694783396376e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.06264019999999976 y[1] (numeric) = 0.06264019999999999 absolute error = 2.359223927328458e-16 relative error = 3.766309697811416e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = 2.0 * (0.2 * x + 0.3); Iterations = 100 Total Elapsed Time = 11 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 14 Hours 49 Minutes 15 Seconds Optimized Time Remaining = 13 Hours 28 Minutes 24 Seconds Time to Timeout = 49 Seconds Percent Done = 0.02061 %