##############ECHO OF PROBLEM################# ##############temp/ln_c_exp_c_sqrt_cpostode.ode################# diff ( y , x , 1 ) = ln(0.1) + exp(0.1) + sqrt(0.1); ! // 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((ln(0.1) + exp(0.1) + sqrt(0.1)) * x); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = -0.08811864089015599 y[1] (numeric) = -0.08811864089015599 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = -0.08812745275424499 y[1] (numeric) = -0.08812745275424501 absolute error = 1.387778780781446e-17 relative error = 1.57474060285329e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = -0.08813626461833401 y[1] (numeric) = -0.08813626461833403 absolute error = 1.387778780781446e-17 relative error = 1.574583160281519e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = -0.08814507648242302 y[1] (numeric) = -0.08814507648242305 absolute error = 2.775557561562891e-17 relative error = 3.148851498377637e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = -0.08815388834651203 y[1] (numeric) = -0.08815388834651207 absolute error = 4.163336342344337e-17 relative error = 4.722805108697247e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = -0.08816270021060105 y[1] (numeric) = -0.08816270021060109 absolute error = 4.163336342344337e-17 relative error = 4.722333064208621e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = -0.08817151207469005 y[1] (numeric) = -0.08817151207469011 absolute error = 5.551115123125783e-17 relative error = 6.295814818763044e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = -0.08818032393877907 y[1] (numeric) = -0.08818032393877913 absolute error = 5.551115123125783e-17 relative error = 6.295185677679925e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = -0.08818913580286808 y[1] (numeric) = -0.08818913580286815 absolute error = 6.938893903907228e-17 relative error = 7.868195827905553e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = -0.0881979476669571 y[1] (numeric) = -0.08819794766695717 absolute error = 6.938893903907228e-17 relative error = 7.867409715823635e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = -0.08820675953104611 y[1] (numeric) = -0.08820675953104619 absolute error = 8.326672684688674e-17 relative error = 9.439948512968485e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = -0.08821557139513513 y[1] (numeric) = -0.08821557139513521 absolute error = 8.326672684688674e-17 relative error = 9.439005555370546e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = -0.08822438325922413 y[1] (numeric) = -0.08822438325922423 absolute error = 9.71445146547012e-17 relative error = 1.101107325049444e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = -0.08823319512331314 y[1] (numeric) = -0.08823319512331325 absolute error = 1.110223024625157e-16 relative error = 1.258282694028623e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = -0.08824200698740216 y[1] (numeric) = -0.08824200698740227 absolute error = 1.110223024625157e-16 relative error = 1.258157041672519e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = -0.08825081885149116 y[1] (numeric) = -0.08825081885149129 absolute error = 1.249000902703301e-16 relative error = 1.415285341210403e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = -0.08825963071558018 y[1] (numeric) = -0.08825963071558031 absolute error = 1.249000902703301e-16 relative error = 1.415144038760202e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = -0.08826844257966919 y[1] (numeric) = -0.08826844257966933 absolute error = 1.387778780781446e-16 relative error = 1.572225293913922e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = -0.08827725444375821 y[1] (numeric) = -0.08827725444375835 absolute error = 1.387778780781446e-16 relative error = 1.572068353876598e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = -0.08828606630784722 y[1] (numeric) = -0.08828606630784737 absolute error = 1.52655665885959e-16 relative error = 1.729102589684533e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = -0.08829487817193622 y[1] (numeric) = -0.08829487817193639 absolute error = 1.665334536937735e-16 relative error = 1.886105481333624e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = -0.08830369003602524 y[1] (numeric) = -0.08830369003602541 absolute error = 1.665334536937735e-16 relative error = 1.885917266037612e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = -0.08831250190011425 y[1] (numeric) = -0.08831250190011443 absolute error = 1.804112415015879e-16 relative error = 2.042873178993863e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = -0.08832131376420327 y[1] (numeric) = -0.08832131376420345 absolute error = 1.804112415015879e-16 relative error = 2.042669360458594e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = -0.08833012562829227 y[1] (numeric) = -0.08833012562829247 absolute error = 1.942890293094024e-16 relative error = 2.199578319711699e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = -0.08833893749238129 y[1] (numeric) = -0.08833893749238149 absolute error = 1.942890293094024e-16 relative error = 2.199358910402999e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = -0.0883477493564703 y[1] (numeric) = -0.08834774935647051 absolute error = 2.081668171172169e-16 relative error = 2.356220940923962e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = -0.08835656122055932 y[1] (numeric) = -0.08835656122055953 absolute error = 2.081668171172169e-16 relative error = 2.355985953296464e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = -0.08836537308464833 y[1] (numeric) = -0.08836537308464855 absolute error = 2.220446049250313e-16 relative error = 2.512801080037617e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = -0.08837418494873733 y[1] (numeric) = -0.08837418494873757 absolute error = 2.359223927328458e-16 relative error = 2.669584934443195e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = -0.08838299681282635 y[1] (numeric) = -0.08838299681282659 absolute error = 2.359223927328458e-16 relative error = 2.669318774429791e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = -0.08839180867691536 y[1] (numeric) = -0.08839180867691561 absolute error = 2.498001805406602e-16 relative error = 2.826055765571168e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = -0.08840062054100438 y[1] (numeric) = -0.08840062054100463 absolute error = 2.498001805406602e-16 relative error = 2.825774061447805e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = -0.08840943240509339 y[1] (numeric) = -0.08840943240509365 absolute error = 2.636779683484747e-16 relative error = 2.982464214228841e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = -0.08841824426918241 y[1] (numeric) = -0.08841824426918267 absolute error = 2.636779683484747e-16 relative error = 2.982166978409205e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = -0.08842705613327141 y[1] (numeric) = -0.08842705613327169 absolute error = 2.775557561562891e-16 relative error = 3.138810317715151e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = -0.08843586799736042 y[1] (numeric) = -0.08843586799736071 absolute error = 2.914335439641036e-16 relative error = 3.295422440731877e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = -0.08844467986144944 y[1] (numeric) = -0.08844467986144973 absolute error = 2.914335439641036e-16 relative error = 3.295094113299304e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = -0.08845349172553844 y[1] (numeric) = -0.08845349172553875 absolute error = 3.05311331771918e-16 relative error = 3.451659463249522e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = -0.08846230358962746 y[1] (numeric) = -0.08846230358962777 absolute error = 3.05311331771918e-16 relative error = 3.451315638220809e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = -0.08847111545371647 y[1] (numeric) = -0.08847111545371679 absolute error = 3.191891195797325e-16 relative error = 3.607834239941462e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = -0.08847992731780549 y[1] (numeric) = -0.08847992731780581 absolute error = 3.191891195797325e-16 relative error = 3.607474929689501e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = -0.0884887391818945 y[1] (numeric) = -0.08848873918189483 absolute error = 3.33066907387547e-16 relative error = 3.76394680799899e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = -0.0884975510459835 y[1] (numeric) = -0.08849755104598385 absolute error = 3.469446951953614e-16 relative error = 3.920387525922477e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = -0.08850636291007252 y[1] (numeric) = -0.08850636291007287 absolute error = 3.469446951953614e-16 relative error = 3.919997204583775e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = -0.08851517477416153 y[1] (numeric) = -0.08851517477416189 absolute error = 3.608224830031759e-16 relative error = 4.076391239398011e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = -0.08852398663825055 y[1] (numeric) = -0.08852398663825091 absolute error = 3.608224830031759e-16 relative error = 4.075985466827894e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = -0.08853279850233955 y[1] (numeric) = -0.08853279850233993 absolute error = 3.747002708109903e-16 relative error = 4.232332843303135e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = -0.08854161036642857 y[1] (numeric) = -0.08854161036642895 absolute error = 3.747002708109903e-16 relative error = 4.231911631833857e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = -0.08855042223051758 y[1] (numeric) = -0.08855042223051797 absolute error = 3.885780586188048e-16 relative error = 4.388212374721881e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = -0.0885592340946066 y[1] (numeric) = -0.08855923409460699 absolute error = 3.885780586188048e-16 relative error = 4.387775736674645e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = -0.08856804595869561 y[1] (numeric) = -0.08856804595869601 absolute error = 4.024558464266192e-16 relative error = 4.544029870708761e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = -0.08857685782278461 y[1] (numeric) = -0.08857685782278503 absolute error = 4.163336342344337e-16 relative error = 4.70025291557972e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = -0.08858566968687363 y[1] (numeric) = -0.08858566968687405 absolute error = 4.163336342344337e-16 relative error = 4.699785368288804e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = -0.08859448155096264 y[1] (numeric) = -0.08859448155096307 absolute error = 4.302114220422482e-16 relative error = 4.855961844471944e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = -0.08860329341505166 y[1] (numeric) = -0.08860329341505209 absolute error = 4.302114220422482e-16 relative error = 4.855478904457576e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = -0.08861210527914067 y[1] (numeric) = -0.08861210527914111 absolute error = 4.440892098500626e-16 relative error = 5.011608836638276e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = -0.08862091714322969 y[1] (numeric) = -0.08862091714323013 absolute error = 4.440892098500626e-16 relative error = 5.011110516181218e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = -0.08862972900731869 y[1] (numeric) = -0.08862972900731915 absolute error = 4.579669976578771e-16 relative error = 5.167193929026455e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = -0.0886385408714077 y[1] (numeric) = -0.08863854087140817 absolute error = 4.718447854656915e-16 relative error = 5.323246308287272e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = -0.08864735273549672 y[1] (numeric) = -0.08864735273549719 absolute error = 4.718447854656915e-16 relative error = 5.322717158554838e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = -0.08865616459958572 y[1] (numeric) = -0.08865616459958621 absolute error = 4.85722573273506e-16 relative error = 5.478723058540429e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = -0.08866497646367474 y[1] (numeric) = -0.08866497646367523 absolute error = 4.85722573273506e-16 relative error = 5.478178562112428e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = -0.08867378832776375 y[1] (numeric) = -0.08867378832776425 absolute error = 4.996003610813204e-16 relative error = 5.634138007441999e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = -0.08868260019185277 y[1] (numeric) = -0.08868260019185327 absolute error = 4.996003610813204e-16 relative error = 5.633578176558907e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = -0.08869141205594178 y[1] (numeric) = -0.08869141205594229 absolute error = 5.134781488891349e-16 relative error = 5.789491191833325e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = -0.08870022392003078 y[1] (numeric) = -0.08870022392003131 absolute error = 5.273559366969494e-16 relative error = 5.945373228960461e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = -0.0887090357841198 y[1] (numeric) = -0.08870903578412033 absolute error = 5.273559366969494e-16 relative error = 5.944782648526473e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = -0.08871784764820881 y[1] (numeric) = -0.08871784764820935 absolute error = 5.412337245047638e-16 relative error = 6.100618295553197e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = -0.08872665951229783 y[1] (numeric) = -0.08872665951229837 absolute error = 5.412337245047638e-16 relative error = 6.100012414304259e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = -0.08873547137638683 y[1] (numeric) = -0.08873547137638739 absolute error = 5.551115123125783e-16 relative error = 6.25580169578383e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = -0.08874428324047585 y[1] (numeric) = -0.08874428324047641 absolute error = 5.551115123125783e-16 relative error = 6.255180525920282e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = -0.08875309510456486 y[1] (numeric) = -0.08875309510456543 absolute error = 5.689893001203927e-16 relative error = 6.410923466387683e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = -0.08876190696865388 y[1] (numeric) = -0.08876190696865445 absolute error = 5.689893001203927e-16 relative error = 6.410287020098952e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = -0.08877071883274289 y[1] (numeric) = -0.08877071883274347 absolute error = 5.828670879282072e-16 relative error = 6.565983644070909e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = -0.08877953069683189 y[1] (numeric) = -0.08877953069683249 absolute error = 5.967448757360216e-16 relative error = 6.721649360524459e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = -0.08878834256092091 y[1] (numeric) = -0.08878834256092151 absolute error = 5.967448757360216e-16 relative error = 6.720982265510512e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = -0.08879715442500992 y[1] (numeric) = -0.08879715442501053 absolute error = 6.106226635438361e-16 relative error = 6.876601705289025e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = -0.08880596628909894 y[1] (numeric) = -0.08880596628909955 absolute error = 6.106226635438361e-16 relative error = 6.875919367354385e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = -0.08881477815318795 y[1] (numeric) = -0.08881477815318857 absolute error = 6.245004513516506e-16 relative error = 7.031492554927184e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = -0.08882359001727697 y[1] (numeric) = -0.08882359001727759 absolute error = 6.245004513516506e-16 relative error = 7.030794986221338e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = -0.08883240188136597 y[1] (numeric) = -0.08883240188136661 absolute error = 6.38378239159465e-16 relative error = 7.186321946039547e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = -0.08884121374545498 y[1] (numeric) = -0.08884121374545563 absolute error = 6.522560269672795e-16 relative error = 7.341818053455491e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = -0.088850025609544 y[1] (numeric) = -0.08885002560954465 absolute error = 6.522560269672795e-16 relative error = 7.341089915197685e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = -0.088858837473633 y[1] (numeric) = -0.08885883747363367 absolute error = 6.661338147750939e-16 relative error = 7.496539834574757e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = -0.08886764933772202 y[1] (numeric) = -0.08886764933772269 absolute error = 6.661338147750939e-16 relative error = 7.495796498944159e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = -0.08887646120181103 y[1] (numeric) = -0.08887646120181171 absolute error = 6.800116025829084e-16 relative error = 7.651200254686242e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = -0.08888527306590005 y[1] (numeric) = -0.08888527306590073 absolute error = 6.800116025829084e-16 relative error = 7.650441733792547e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = -0.08889408492998906 y[1] (numeric) = -0.08889408492998975 absolute error = 6.938893903907228e-16 relative error = 7.80579935028539e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = -0.08890289679407808 y[1] (numeric) = -0.08890289679407877 absolute error = 6.938893903907228e-16 relative error = 7.805025656227476e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = -0.08891170865816708 y[1] (numeric) = -0.08891170865816779 absolute error = 7.077671781985373e-16 relative error = 7.960337157838711e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = -0.08892052052225609 y[1] (numeric) = -0.08892052052225681 absolute error = 7.216449660063518e-16 relative error = 8.115617877267484e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = -0.08892933238634511 y[1] (numeric) = -0.08892933238634583 absolute error = 7.216449660063518e-16 relative error = 8.114813713783807e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = -0.08893814425043411 y[1] (numeric) = -0.08893814425043485 absolute error = 7.355227538141662e-16 relative error = 8.270048357913383e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = -0.08894695611452313 y[1] (numeric) = -0.08894695611452387 absolute error = 7.355227538141662e-16 relative error = 8.2692290545294e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = -0.08895576797861214 y[1] (numeric) = -0.08895576797861289 absolute error = 7.494005416219807e-16 relative error = 8.424417647680373e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = -0.08896457984270116 y[1] (numeric) = -0.08896457984270191 absolute error = 7.494005416219807e-16 relative error = 8.423583216455363e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = -0.08897339170679017 y[1] (numeric) = -0.08897339170679093 absolute error = 7.632783294297951e-16 relative error = 8.578725782930271e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = -0.08898220357087917 y[1] (numeric) = -0.08898220357087995 absolute error = 7.771561172376096e-16 relative error = 8.733837622020255e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = -0.08899101543496819 y[1] (numeric) = -0.08899101543496897 absolute error = 7.771561172376096e-16 relative error = 8.732972799996091e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = -0.0889998272990572 y[1] (numeric) = -0.08899982729905799 absolute error = 7.91033905045424e-16 relative error = 8.888038651888527e-13 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = ln(0.1) + exp(0.1) + sqrt(0.1); Iterations = 100 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Time to Timeout = 1 Minutes 0 Seconds Percent Done = 0.02061 %