##############ECHO OF PROBLEM################# ##############temp/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits = 32; max_terms = 30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 20.0; x_end = 30.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 20; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 20 y[1] (analytic) = -4.653938071986054 y[1] (numeric) = -4.653938071986054 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00001 y[1] (analytic) = -4.653930187410182 y[1] (numeric) = -4.653930187410177 absolute error = 5.329070518200751e-15 relative error = 1.145068856558476e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00002 y[1] (analytic) = -4.653922302829757 y[1] (numeric) = -4.653922302829756 absolute error = 1.77635683940025e-15 relative error = 3.816902655036075e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00003 y[1] (analytic) = -4.65391441824479 y[1] (numeric) = -4.653914418244788 absolute error = 1.77635683940025e-15 relative error = 3.816909121569532e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00004 y[1] (analytic) = -4.65390653365528 y[1] (numeric) = -4.653906533655276 absolute error = 4.440892098500626e-15 relative error = 9.542288970321568e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00005 y[1] (analytic) = -4.653898649061219 y[1] (numeric) = -4.653898649061217 absolute error = 1.77635683940025e-15 relative error = 3.816922054713366e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00006 y[1] (analytic) = -4.653890764462618 y[1] (numeric) = -4.653890764462614 absolute error = 4.440892098500626e-15 relative error = 9.542321303309347e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00007 y[1] (analytic) = -4.653882879859469 y[1] (numeric) = -4.653882879859465 absolute error = 4.440892098500626e-15 relative error = 9.542337469899383e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00008 y[1] (analytic) = -4.653874995251772 y[1] (numeric) = -4.65387499525177 absolute error = 1.77635683940025e-15 relative error = 3.81694145462141e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00009 y[1] (analytic) = -4.653867110639534 y[1] (numeric) = -4.65386711063953 absolute error = 3.552713678800501e-15 relative error = 7.633895842617404e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.0001 y[1] (analytic) = -4.653859226022749 y[1] (numeric) = -4.653859226022745 absolute error = 3.552713678800501e-15 relative error = 7.633908776043272e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00011 y[1] (analytic) = -4.653851341401421 y[1] (numeric) = -4.653851341401414 absolute error = 7.105427357601002e-15 relative error = 1.526784341904083e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00012 y[1] (analytic) = -4.653843456775543 y[1] (numeric) = -4.653843456775538 absolute error = 5.329070518200751e-15 relative error = 1.145090196457327e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00013 y[1] (analytic) = -4.653835572145119 y[1] (numeric) = -4.653835572145116 absolute error = 2.664535259100376e-15 relative error = 5.725460682471419e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00013999999999 y[1] (analytic) = -4.653827687510157 y[1] (numeric) = -4.653827687510149 absolute error = 7.993605777301127e-15 relative error = 1.717641114808396e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00014999999999 y[1] (analytic) = -4.653819802870642 y[1] (numeric) = -4.653819802870636 absolute error = 6.217248937900877e-15 relative error = 1.335945352689817e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00015999999999 y[1] (analytic) = -4.653811918226587 y[1] (numeric) = -4.653811918226578 absolute error = 8.881784197001252e-15 relative error = 1.90849659441884e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00016999999999 y[1] (analytic) = -4.653804033577982 y[1] (numeric) = -4.653804033577975 absolute error = 7.105427357601002e-15 relative error = 1.52679986229204e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00017999999999 y[1] (analytic) = -4.653796148924832 y[1] (numeric) = -4.653796148924826 absolute error = 6.217248937900877e-15 relative error = 1.335952142926855e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00018999999999 y[1] (analytic) = -4.653788264267141 y[1] (numeric) = -4.653788264267132 absolute error = 8.881784197001252e-15 relative error = 1.908506294795927e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00019999999999 y[1] (analytic) = -4.6537803796049 y[1] (numeric) = -4.653780379604893 absolute error = 7.105427357601002e-15 relative error = 1.526807622624479e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00020999999999 y[1] (analytic) = -4.653772494938118 y[1] (numeric) = -4.653772494938107 absolute error = 1.06581410364015e-14 relative error = 2.290215314133706e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00021999999999 y[1] (analytic) = -4.653764610266786 y[1] (numeric) = -4.653764610266777 absolute error = 8.881784197001252e-15 relative error = 1.908515995288401e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00022999999999 y[1] (analytic) = -4.653756725590907 y[1] (numeric) = -4.653756725590902 absolute error = 5.329070518200751e-15 relative error = 1.145111537286921e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00023999999999 y[1] (analytic) = -4.65374884091049 y[1] (numeric) = -4.65374884091048 absolute error = 9.769962616701378e-15 relative error = 2.099374708582236e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00024999999999 y[1] (analytic) = -4.653740956225522 y[1] (numeric) = -4.653740956225514 absolute error = 7.993605777301127e-15 relative error = 1.717673126306636e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00025999999999 y[1] (analytic) = -4.653733071536012 y[1] (numeric) = -4.653733071536002 absolute error = 9.769962616701378e-15 relative error = 2.099381822403644e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00026999999999 y[1] (analytic) = -4.653725186841953 y[1] (numeric) = -4.653725186841944 absolute error = 8.881784197001252e-15 relative error = 1.908532163032275e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00027999999999 y[1] (analytic) = -4.65371730214335 y[1] (numeric) = -4.653717302143342 absolute error = 7.993605777301127e-15 relative error = 1.717681856957563e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00028999999999 y[1] (analytic) = -4.653709417440203 y[1] (numeric) = -4.653709417440194 absolute error = 9.769962616701378e-15 relative error = 2.09939249324153e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00029999999999 y[1] (analytic) = -4.65370153273251 y[1] (numeric) = -4.6537015327325 absolute error = 9.769962616701378e-15 relative error = 2.0993960502157e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00030999999999 y[1] (analytic) = -4.653693648020273 y[1] (numeric) = -4.653693648020261 absolute error = 1.154631945610163e-14 relative error = 2.481108626695602e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00031999999999 y[1] (analytic) = -4.653685763303486 y[1] (numeric) = -4.653685763303477 absolute error = 9.769962616701378e-15 relative error = 2.099403164206349e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00032999999999 y[1] (analytic) = -4.653677878582156 y[1] (numeric) = -4.653677878582147 absolute error = 9.769962616701378e-15 relative error = 2.099406721222829e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00033999999999 y[1] (analytic) = -4.653669993856284 y[1] (numeric) = -4.653669993856272 absolute error = 1.243449787580175e-14 relative error = 2.671976717777071e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00034999999999 y[1] (analytic) = -4.653662109125862 y[1] (numeric) = -4.653662109125851 absolute error = 1.06581410364015e-14 relative error = 2.29026963850702e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00035999999999 y[1] (analytic) = -4.653654224390898 y[1] (numeric) = -4.653654224390885 absolute error = 1.332267629550188e-14 relative error = 2.86284189866849e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00036999999999 y[1] (analytic) = -4.653646339651385 y[1] (numeric) = -4.653646339651374 absolute error = 1.154631945610163e-14 relative error = 2.481133849326115e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00037999999999 y[1] (analytic) = -4.653638454907328 y[1] (numeric) = -4.653638454907317 absolute error = 1.06581410364015e-14 relative error = 2.290281279836499e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00038999999999 y[1] (analytic) = -4.653630570158729 y[1] (numeric) = -4.653630570158715 absolute error = 1.4210854715202e-14 relative error = 3.053713547080574e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00039999999998 y[1] (analytic) = -4.653622685405581 y[1] (numeric) = -4.653622685405567 absolute error = 1.332267629550188e-14 relative error = 2.862861300999687e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00040999999998 y[1] (analytic) = -4.653614800647889 y[1] (numeric) = -4.653614800647874 absolute error = 1.4210854715202e-14 relative error = 3.053723895072607e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00041999999998 y[1] (analytic) = -4.65360691588565 y[1] (numeric) = -4.653606915885637 absolute error = 1.332267629550188e-14 relative error = 2.862871002280685e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00042999999998 y[1] (analytic) = -4.653599031118864 y[1] (numeric) = -4.653599031118853 absolute error = 1.06581410364015e-14 relative error = 2.290300682360029e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00043999999998 y[1] (analytic) = -4.653591146347539 y[1] (numeric) = -4.653591146347524 absolute error = 1.509903313490213e-14 relative error = 3.244598130790432e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00044999999998 y[1] (analytic) = -4.653583261571662 y[1] (numeric) = -4.65358326157165 absolute error = 1.243449787580175e-14 relative error = 2.672026517390006e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00045999999998 y[1] (analytic) = -4.653575376791244 y[1] (numeric) = -4.65357537679123 absolute error = 1.4210854715202e-14 relative error = 3.053749765411717e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00046999999998 y[1] (analytic) = -4.65356749200628 y[1] (numeric) = -4.653567492006265 absolute error = 1.509903313490213e-14 relative error = 3.244614623262405e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00047999999998 y[1] (analytic) = -4.653559607216768 y[1] (numeric) = -4.653559607216755 absolute error = 1.332267629550188e-14 relative error = 2.862900106585288e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00048999999998 y[1] (analytic) = -4.653551722422715 y[1] (numeric) = -4.653551722422699 absolute error = 1.598721155460225e-14 relative error = 3.435485948844048e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00049999999998 y[1] (analytic) = -4.653543837624112 y[1] (numeric) = -4.653543837624098 absolute error = 1.4210854715202e-14 relative error = 3.053770462052297e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00050999999998 y[1] (analytic) = -4.653535952820969 y[1] (numeric) = -4.653535952820952 absolute error = 1.77635683940025e-14 relative error = 3.817219545329664e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00051999999998 y[1] (analytic) = -4.653528068013275 y[1] (numeric) = -4.65352806801326 absolute error = 1.509903313490213e-14 relative error = 3.244642111151667e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00052999999998 y[1] (analytic) = -4.653520183201036 y[1] (numeric) = -4.653520183201023 absolute error = 1.332267629550188e-14 relative error = 2.862924360701398e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00053999999998 y[1] (analytic) = -4.653512298384258 y[1] (numeric) = -4.65351229838424 absolute error = 1.77635683940025e-14 relative error = 3.817238948776428e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00054999999998 y[1] (analytic) = -4.653504413562928 y[1] (numeric) = -4.653504413562913 absolute error = 1.509903313490213e-14 relative error = 3.244658604146814e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00055999999998 y[1] (analytic) = -4.653496528737056 y[1] (numeric) = -4.65349652873704 absolute error = 1.687538997430238e-14 relative error = 3.626389290309045e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00056999999998 y[1] (analytic) = -4.653488643906639 y[1] (numeric) = -4.653488643906621 absolute error = 1.77635683940025e-14 relative error = 3.817258352454011e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00057999999998 y[1] (analytic) = -4.653480759071672 y[1] (numeric) = -4.653480759071657 absolute error = 1.509903313490213e-14 relative error = 3.244675097338159e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00058999999998 y[1] (analytic) = -4.653472874232166 y[1] (numeric) = -4.653472874232148 absolute error = 1.865174681370263e-14 relative error = 4.008134852785665e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00059999999998 y[1] (analytic) = -4.653464989388111 y[1] (numeric) = -4.653464989388094 absolute error = 1.687538997430238e-14 relative error = 3.626413868544296e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00060999999998 y[1] (analytic) = -4.653457104539514 y[1] (numeric) = -4.653457104539494 absolute error = 2.042810365310288e-14 relative error = 4.389876858040653e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00061999999998 y[1] (analytic) = -4.653449219686365 y[1] (numeric) = -4.653449219686348 absolute error = 1.687538997430238e-14 relative error = 3.626426157808111e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00062999999998 y[1] (analytic) = -4.653441334828675 y[1] (numeric) = -4.653441334828658 absolute error = 1.687538997430238e-14 relative error = 3.626432302476567e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00063999999998 y[1] (analytic) = -4.653433449966441 y[1] (numeric) = -4.653433449966422 absolute error = 1.865174681370263e-14 relative error = 4.008168810029322e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00064999999998 y[1] (analytic) = -4.65342556509966 y[1] (numeric) = -4.653425565099641 absolute error = 1.865174681370263e-14 relative error = 4.008175601558844e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00065999999998 y[1] (analytic) = -4.653417680228336 y[1] (numeric) = -4.653417680228315 absolute error = 2.131628207280301e-14 relative error = 4.58077987784605e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00066999999997 y[1] (analytic) = -4.653409795352462 y[1] (numeric) = -4.653409795352442 absolute error = 1.953992523340276e-14 relative error = 4.199055336350997e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00067999999997 y[1] (analytic) = -4.653401910472043 y[1] (numeric) = -4.653401910472025 absolute error = 1.77635683940025e-14 relative error = 3.817329501246661e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00068999999997 y[1] (analytic) = -4.653394025587084 y[1] (numeric) = -4.653394025587063 absolute error = 2.131628207280301e-14 relative error = 4.580803163367128e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00069999999997 y[1] (analytic) = -4.653386140697576 y[1] (numeric) = -4.653386140697555 absolute error = 2.042810365310288e-14 relative error = 4.389943803382834e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00070999999997 y[1] (analytic) = -4.653378255803524 y[1] (numeric) = -4.653378255803502 absolute error = 2.220446049250313e-14 relative error = 4.771686132501809e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00071999999997 y[1] (analytic) = -4.653370370904925 y[1] (numeric) = -4.653370370904904 absolute error = 2.131628207280301e-14 relative error = 4.58082644916521e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00072999999997 y[1] (analytic) = -4.653362486001779 y[1] (numeric) = -4.65336248600176 absolute error = 1.865174681370263e-14 relative error = 4.008229934764532e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00073999999997 y[1] (analytic) = -4.653354601094093 y[1] (numeric) = -4.653354601094072 absolute error = 2.131628207280301e-14 relative error = 4.580841973184493e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00074999999997 y[1] (analytic) = -4.653346716181859 y[1] (numeric) = -4.653346716181837 absolute error = 2.131628207280301e-14 relative error = 4.580849735240304e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00075999999997 y[1] (analytic) = -4.653338831265082 y[1] (numeric) = -4.653338831265057 absolute error = 2.486899575160351e-14 relative error = 5.344333746881373e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00076999999997 y[1] (analytic) = -4.653330946343754 y[1] (numeric) = -4.653330946343733 absolute error = 2.131628207280301e-14 relative error = 4.580865259444264e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00077999999997 y[1] (analytic) = -4.653323061417883 y[1] (numeric) = -4.653323061417862 absolute error = 2.042810365310288e-14 relative error = 4.390003312359398e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00078999999997 y[1] (analytic) = -4.653315176487472 y[1] (numeric) = -4.653315176487447 absolute error = 2.486899575160351e-14 relative error = 5.344360914399898e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00079999999997 y[1] (analytic) = -4.653307291552508 y[1] (numeric) = -4.653307291552486 absolute error = 2.220446049250313e-14 relative error = 4.771758902063598e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00080999999997 y[1] (analytic) = -4.653299406613005 y[1] (numeric) = -4.65329940661298 absolute error = 2.486899575160351e-14 relative error = 5.344379026258465e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00081999999997 y[1] (analytic) = -4.653291521668952 y[1] (numeric) = -4.653291521668929 absolute error = 2.309263891220326e-14 relative error = 4.962646076367216e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00082999999997 y[1] (analytic) = -4.653283636720356 y[1] (numeric) = -4.653283636720333 absolute error = 2.309263891220326e-14 relative error = 4.962654485527772e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00083999999997 y[1] (analytic) = -4.653275751767215 y[1] (numeric) = -4.653275751767191 absolute error = 2.486899575160351e-14 relative error = 5.344406194315648e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00084999999997 y[1] (analytic) = -4.653267866809527 y[1] (numeric) = -4.653267866809504 absolute error = 2.309263891220326e-14 relative error = 4.962671303948923e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00085999999997 y[1] (analytic) = -4.653259981847297 y[1] (numeric) = -4.653259981847271 absolute error = 2.575717417130363e-14 relative error = 5.535296603195228e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00086999999997 y[1] (analytic) = -4.653252096880519 y[1] (numeric) = -4.653252096880493 absolute error = 2.575717417130363e-14 relative error = 5.535305982792317e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00087999999997 y[1] (analytic) = -4.653244211909193 y[1] (numeric) = -4.65324421190917 absolute error = 2.309263891220326e-14 relative error = 4.962696531830748e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00088999999997 y[1] (analytic) = -4.653236326933328 y[1] (numeric) = -4.653236326933301 absolute error = 2.664535259100376e-14 relative error = 5.726198009066977e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00089999999997 y[1] (analytic) = -4.653228441952914 y[1] (numeric) = -4.653228441952888 absolute error = 2.575717417130363e-14 relative error = 5.535334121806752e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00090999999997 y[1] (analytic) = -4.653220556967959 y[1] (numeric) = -4.653220556967929 absolute error = 3.019806626980426e-14 relative error = 6.489713070785825e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00091999999997 y[1] (analytic) = -4.653212671978451 y[1] (numeric) = -4.653212671978425 absolute error = 2.664535259100376e-14 relative error = 5.72622711862312e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00092999999996 y[1] (analytic) = -4.653204786984402 y[1] (numeric) = -4.653204786984375 absolute error = 2.664535259100376e-14 relative error = 5.726236821885457e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00093999999996 y[1] (analytic) = -4.65319690198581 y[1] (numeric) = -4.653196901985781 absolute error = 2.930988785010413e-14 relative error = 6.298871177704896e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00094999999996 y[1] (analytic) = -4.653189016982668 y[1] (numeric) = -4.65318901698264 absolute error = 2.753353101070388e-14 relative error = 5.917131436143085e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00095999999996 y[1] (analytic) = -4.653181131974987 y[1] (numeric) = -4.653181131974955 absolute error = 3.108624468950438e-14 relative error = 6.680643587220557e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00096999999996 y[1] (analytic) = -4.653173246962755 y[1] (numeric) = -4.653173246962725 absolute error = 3.019806626980426e-14 relative error = 6.489779053362199e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00097999999996 y[1] (analytic) = -4.653165361945977 y[1] (numeric) = -4.653165361945949 absolute error = 2.753353101070388e-14 relative error = 5.917161516733466e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00098999999996 y[1] (analytic) = -4.65315747692466 y[1] (numeric) = -4.653157476924628 absolute error = 3.197442310920451e-14 relative error = 6.871554050721033e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 20.00099999999996 y[1] (analytic) = -4.653149591898792 y[1] (numeric) = -4.653149591898762 absolute error = 3.019806626980426e-14 relative error = 6.489812045239116e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ; Iterations = 100 Total Elapsed Time = 11 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 1 Days 6 Hours 14 Minutes 59 Seconds Optimized Time Remaining = 1 Days 3 Hours 29 Minutes 59 Seconds Time to Timeout = 49 Seconds Percent Done = 0.0101 %