##############ECHO OF PROBLEM################# ##############temp/add_lin_cpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 0.2) + 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(0.05 * x * x + 0.5 * x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.0505 y[1] (numeric) = 0.0505 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) = 0.050505100005 y[1] (numeric) = 0.050505100005 absolute error = 6.938893903907228e-18 relative error = 1.373899646415962e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.05051020002 y[1] (numeric) = 0.05051020002000001 absolute error = 6.938893903907228e-18 relative error = 1.373760923765835e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.050515300045 y[1] (numeric) = 0.05051530004500001 absolute error = 1.387778780781446e-17 relative error = 2.74724445770922e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.05052040007999999 y[1] (numeric) = 0.05052040008000001 absolute error = 1.387778780781446e-17 relative error = 2.746967123347939e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.05052550012499999 y[1] (numeric) = 0.050525500125 absolute error = 1.387778780781446e-17 relative error = 2.746689844431195e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.05053060017999999 y[1] (numeric) = 0.05053060018 absolute error = 1.387778780781446e-17 relative error = 2.746412620942366e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.05053570024499999 y[1] (numeric) = 0.050535700245 absolute error = 1.387778780781446e-17 relative error = 2.746135452864834e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.05054080031999999 y[1] (numeric) = 0.05054080032 absolute error = 1.387778780781446e-17 relative error = 2.74585834018199e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.05054590040499998 y[1] (numeric) = 0.050545900405 absolute error = 2.081668171172169e-17 relative error = 4.118371924315845e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.05055100049999998 y[1] (numeric) = 0.05055100050000001 absolute error = 2.081668171172169e-17 relative error = 4.117956421400936e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.05055610060499998 y[1] (numeric) = 0.05055610060500001 absolute error = 2.775557561562891e-17 relative error = 5.490054668671163e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.05056120071999998 y[1] (numeric) = 0.05056120072 absolute error = 2.775557561562891e-17 relative error = 5.489500886131038e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.05056630084499997 y[1] (numeric) = 0.050566300845 absolute error = 2.775557561562891e-17 relative error = 5.488947214214386e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.05057140097999997 y[1] (numeric) = 0.05057140098 absolute error = 2.775557561562891e-17 relative error = 5.488393652888066e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.05057650112499997 y[1] (numeric) = 0.050576501125 absolute error = 2.775557561562891e-17 relative error = 5.48784020211895e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.05058160127999997 y[1] (numeric) = 0.05058160128 absolute error = 2.775557561562891e-17 relative error = 5.487286861873924e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.05058670144499997 y[1] (numeric) = 0.050586701445 absolute error = 2.775557561562891e-17 relative error = 5.486733632119889e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.05059180161999997 y[1] (numeric) = 0.05059180162 absolute error = 3.469446951953614e-17 relative error = 6.857725641029694e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.05059690180499996 y[1] (numeric) = 0.050596901805 absolute error = 4.163336342344337e-17 relative error = 8.228441255928675e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.05060200199999997 y[1] (numeric) = 0.05060200200000001 absolute error = 4.163336342344337e-17 relative error = 8.227611908209363e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.05060710220499996 y[1] (numeric) = 0.050607102205 absolute error = 4.163336342344337e-17 relative error = 8.226782726028128e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.05061220241999996 y[1] (numeric) = 0.05061220242 absolute error = 4.163336342344337e-17 relative error = 8.225953709335419e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.05061730264499996 y[1] (numeric) = 0.050617302645 absolute error = 4.163336342344337e-17 relative error = 8.2251248580817e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.05062240287999996 y[1] (numeric) = 0.05062240288 absolute error = 4.163336342344337e-17 relative error = 8.224296172217458e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.05062750312499995 y[1] (numeric) = 0.050627503125 absolute error = 4.85722573273506e-17 relative error = 9.594045593642071e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.05063260337999995 y[1] (numeric) = 0.05063260338 absolute error = 4.85722573273506e-17 relative error = 9.593079179202703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.05063770364499995 y[1] (numeric) = 0.050637703645 absolute error = 5.551115123125783e-17 relative error = 1.096241480862237e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.05064280391999994 y[1] (numeric) = 0.05064280392000001 absolute error = 6.245004513516506e-17 relative error = 1.233147462249857e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.05064790420499995 y[1] (numeric) = 0.050647904205 absolute error = 5.551115123125783e-17 relative error = 1.096020696267582e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.05065300449999995 y[1] (numeric) = 0.0506530045 absolute error = 5.551115123125783e-17 relative error = 1.09591033699211e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.05065810480499994 y[1] (numeric) = 0.050658104805 absolute error = 5.551115123125783e-17 relative error = 1.095799999722431e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.05066320511999994 y[1] (numeric) = 0.05066320512 absolute error = 6.245004513516506e-17 relative error = 1.232650895008459e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.05066830544499994 y[1] (numeric) = 0.050668305445 absolute error = 6.245004513516506e-17 relative error = 1.232526815070895e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.05067340577999994 y[1] (numeric) = 0.05067340578 absolute error = 6.245004513516506e-17 relative error = 1.232402759867646e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.05067850612499993 y[1] (numeric) = 0.050678506125 absolute error = 6.938893903907228e-17 relative error = 1.369198588212576e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.05068360647999993 y[1] (numeric) = 0.05068360648 absolute error = 6.938893903907228e-17 relative error = 1.369060804038355e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.05068870684499993 y[1] (numeric) = 0.05068870684500001 absolute error = 7.632783294297951e-17 relative error = 1.505815352054275e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.05069380721999993 y[1] (numeric) = 0.05069380722 absolute error = 7.632783294297951e-17 relative error = 1.50566384986106e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.05069890760499993 y[1] (numeric) = 0.050698907605 absolute error = 7.632783294297951e-17 relative error = 1.505512377853523e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.05070400799999993 y[1] (numeric) = 0.050704008 absolute error = 7.632783294297951e-17 relative error = 1.505360936022644e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.05070910840499993 y[1] (numeric) = 0.050709108405 absolute error = 7.632783294297951e-17 relative error = 1.505209524359406e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.05071420881999992 y[1] (numeric) = 0.05071420882 absolute error = 8.326672684688674e-17 relative error = 1.641881610387053e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.05071930924499992 y[1] (numeric) = 0.050719309245 absolute error = 8.326672684688674e-17 relative error = 1.641716499817975e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.05072440967999992 y[1] (numeric) = 0.05072440968000001 absolute error = 9.020562075079397e-17 relative error = 1.7783473739737e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.05072951012499991 y[1] (numeric) = 0.05072951012500001 absolute error = 9.71445146547012e-17 relative error = 1.914950773530683e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.05073461057999991 y[1] (numeric) = 0.05073461058000001 absolute error = 9.71445146547012e-17 relative error = 1.91475825958141e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.05073971104499991 y[1] (numeric) = 0.050739711045 absolute error = 9.020562075079397e-17 relative error = 1.77781108510438e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.05074481151999991 y[1] (numeric) = 0.05074481152 absolute error = 9.71445146547012e-17 relative error = 1.9143733466507e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.0507499120049999 y[1] (numeric) = 0.050749912005 absolute error = 9.71445146547012e-17 relative error = 1.914180947646382e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.0507550124999999 y[1] (numeric) = 0.0507550125 absolute error = 9.71445146547012e-17 relative error = 1.913988586934175e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.0507601130049999 y[1] (numeric) = 0.050760113005 absolute error = 1.040834085586084e-16 relative error = 2.050495997681411e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.0507652135199999 y[1] (numeric) = 0.05076521352 absolute error = 1.040834085586084e-16 relative error = 2.050289978936124e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.0507703140449999 y[1] (numeric) = 0.05077031404500001 absolute error = 1.110223024625157e-16 relative error = 2.186756267926802e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.05077541457999989 y[1] (numeric) = 0.05077541458 absolute error = 1.110223024625157e-16 relative error = 2.186536602031933e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.05078051512499989 y[1] (numeric) = 0.050780515125 absolute error = 1.110223024625157e-16 relative error = 2.186316979834219e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.05078561567999989 y[1] (numeric) = 0.05078561568 absolute error = 1.110223024625157e-16 relative error = 2.186097401320623e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.05079071624499989 y[1] (numeric) = 0.050790716245 absolute error = 1.110223024625157e-16 relative error = 2.185877866478114e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.05079581681999989 y[1] (numeric) = 0.05079581682 absolute error = 1.110223024625157e-16 relative error = 2.185658375293666e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.05080091740499989 y[1] (numeric) = 0.050800917405 absolute error = 1.110223024625157e-16 relative error = 2.185438927754259e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.05080601799999988 y[1] (numeric) = 0.050806018 absolute error = 1.179611963664229e-16 relative error = 2.321795744087308e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.05081111860499988 y[1] (numeric) = 0.050811118605 absolute error = 1.249000902703301e-16 relative error = 2.458125184003325e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.05081621921999988 y[1] (numeric) = 0.05081621922000001 absolute error = 1.249000902703301e-16 relative error = 2.457878452735674e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.05082131984499988 y[1] (numeric) = 0.050821319845 absolute error = 1.249000902703301e-16 relative error = 2.457631770510159e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.05082642047999988 y[1] (numeric) = 0.05082642048 absolute error = 1.249000902703301e-16 relative error = 2.457385137312161e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.05083152112499988 y[1] (numeric) = 0.050831521125 absolute error = 1.249000902703301e-16 relative error = 2.457138553127066e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.05083662177999988 y[1] (numeric) = 0.05083662178 absolute error = 1.249000902703301e-16 relative error = 2.456892017940269e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.05084172244499987 y[1] (numeric) = 0.050841722445 absolute error = 1.318389841742373e-16 relative error = 2.593125839055898e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.05084682311999987 y[1] (numeric) = 0.05084682312 absolute error = 1.318389841742373e-16 relative error = 2.592865710864448e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.05085192380499987 y[1] (numeric) = 0.050851923805 absolute error = 1.387778780781446e-16 relative error = 2.72905856247074e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.05085702449999986 y[1] (numeric) = 0.05085702450000001 absolute error = 1.457167719820518e-16 relative error = 2.865224094698112e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.05086212520499987 y[1] (numeric) = 0.050862125205 absolute error = 1.387778780781446e-16 relative error = 2.728511196077634e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.05086722591999986 y[1] (numeric) = 0.05086722592 absolute error = 1.387778780781446e-16 relative error = 2.728237594407132e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.05087232664499986 y[1] (numeric) = 0.050872326645 absolute error = 1.387778780781446e-16 relative error = 2.727964047065749e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.05087742737999985 y[1] (numeric) = 0.05087742738 absolute error = 1.457167719820518e-16 relative error = 2.864075081739171e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.05088252812499985 y[1] (numeric) = 0.050882528125 absolute error = 1.457167719820518e-16 relative error = 2.863787971070909e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.05088762887999985 y[1] (numeric) = 0.05088762888 absolute error = 1.457167719820518e-16 relative error = 2.863500917397278e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.05089272964499985 y[1] (numeric) = 0.050892729645 absolute error = 1.52655665885959e-16 relative error = 2.999557440734706e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.05089783041999985 y[1] (numeric) = 0.05089783042000001 absolute error = 1.595945597898663e-16 relative error = 3.135586693439e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.05090293120499985 y[1] (numeric) = 0.05090293120500001 absolute error = 1.595945597898663e-16 relative error = 3.135272488476859e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.05090803199999985 y[1] (numeric) = 0.05090803200000001 absolute error = 1.595945597898663e-16 relative error = 3.134958345863119e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.05091313280499984 y[1] (numeric) = 0.050913132805 absolute error = 1.595945597898663e-16 relative error = 3.134644265579224e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.05091823361999984 y[1] (numeric) = 0.05091823362 absolute error = 1.595945597898663e-16 relative error = 3.134330247606628e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.05092333444499984 y[1] (numeric) = 0.050923334445 absolute error = 1.665334536937735e-16 relative error = 3.270277869836652e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.05092843527999984 y[1] (numeric) = 0.05092843528 absolute error = 1.665334536937735e-16 relative error = 3.269950328891668e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.05093353612499983 y[1] (numeric) = 0.050933536125 absolute error = 1.734723475976807e-16 relative error = 3.405857138447037e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.05093863697999983 y[1] (numeric) = 0.05093863698000001 absolute error = 1.734723475976807e-16 relative error = 3.405516085281033e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.05094373784499983 y[1] (numeric) = 0.05094373784500001 absolute error = 1.804112415015879e-16 relative error = 3.541382103733785e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.05094883871999983 y[1] (numeric) = 0.05094883872000001 absolute error = 1.804112415015879e-16 relative error = 3.541027549088533e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.05095393960499982 y[1] (numeric) = 0.05095393960500001 absolute error = 1.804112415015879e-16 relative error = 3.54067306473561e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.05095904049999982 y[1] (numeric) = 0.0509590405 absolute error = 1.804112415015879e-16 relative error = 3.540318650654118e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.05096414140499982 y[1] (numeric) = 0.050964141405 absolute error = 1.804112415015879e-16 relative error = 3.539964306823165e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.05096924231999982 y[1] (numeric) = 0.05096924232 absolute error = 1.804112415015879e-16 relative error = 3.539610033221867e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.05097434324499982 y[1] (numeric) = 0.050974343245 absolute error = 1.873501354054952e-16 relative error = 3.675381054053555e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.05097944417999982 y[1] (numeric) = 0.05097944418000001 absolute error = 1.873501354054952e-16 relative error = 3.675013300341083e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.05098454512499982 y[1] (numeric) = 0.05098454512500001 absolute error = 1.942890293094024e-16 relative error = 3.810743605401601e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.05098964607999981 y[1] (numeric) = 0.05098964608000001 absolute error = 1.942890293094024e-16 relative error = 3.81036238228785e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.05099474704499981 y[1] (numeric) = 0.050994747045 absolute error = 1.942890293094024e-16 relative error = 3.809981234693722e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.05099984801999981 y[1] (numeric) = 0.05099984802 absolute error = 1.942890293094024e-16 relative error = 3.809600162596781e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.05100494900499981 y[1] (numeric) = 0.051004949005 absolute error = 1.942890293094024e-16 relative error = 3.809219165974601e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.05101004999999981 y[1] (numeric) = 0.05101005 absolute error = 1.942890293094024e-16 relative error = 3.808838244804762e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = (0.1 * x + 0.2) + 0.3 ; Iterations = 100 Total Elapsed Time = 4 Seconds Elapsed Time(since restart) = 4 Seconds Expected Time Remaining = 5 Hours 23 Minutes 21 Seconds Optimized Time Remaining = 5 Hours 23 Minutes 21 Seconds Time to Timeout = 56 Seconds Percent Done = 0.02061 %