##############ECHO OF PROBLEM################# ##############temp/add_sub_sin_c_cos_c_tan_cpostode.ode################# diff ( y , x , 1 ) = sin(0.1) + cos(0.05) - tan(0.02); ! // 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((sin(0.1) + cos(0.05) - tan(0.02)) * x) ; } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.1078581009948392 y[1] (numeric) = 0.1078581009948392 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.1078688868049387 y[1] (numeric) = 0.1078688868049387 absolute error = 1.387778780781446e-17 relative error = 1.286542229077595e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.1078796726150382 y[1] (numeric) = 0.1078796726150382 absolute error = 1.387778780781446e-17 relative error = 1.286413600580386e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.1078904584251377 y[1] (numeric) = 0.1078904584251377 absolute error = 2.775557561562891e-17 relative error = 2.572569995602324e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.1079012442352371 y[1] (numeric) = 0.1079012442352372 absolute error = 2.775557561562891e-17 relative error = 2.572312841464419e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.1079120300453366 y[1] (numeric) = 0.1079120300453367 absolute error = 4.163336342344337e-17 relative error = 3.858083608097459e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.1079228158554361 y[1] (numeric) = 0.1079228158554361 absolute error = 4.163336342344337e-17 relative error = 3.857698031082858e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.1079336016655356 y[1] (numeric) = 0.1079336016655356 absolute error = 5.551115123125783e-17 relative error = 5.143083374839623e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.1079443874756351 y[1] (numeric) = 0.1079443874756351 absolute error = 5.551115123125783e-17 relative error = 5.142569477619915e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.1079551732857345 y[1] (numeric) = 0.1079551732857346 absolute error = 6.938893903907228e-17 relative error = 6.42756960385904e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.107965959095834 y[1] (numeric) = 0.1079659590958341 absolute error = 6.938893903907228e-17 relative error = 6.4269274890135e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.1079767449059335 y[1] (numeric) = 0.1079767449059336 absolute error = 8.326672684688674e-17 relative error = 7.711542602939784e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.107987530716033 y[1] (numeric) = 0.1079875307160331 absolute error = 8.326672684688674e-17 relative error = 7.710772372955471e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.1079983165261325 y[1] (numeric) = 0.1079983165261326 absolute error = 9.71445146547012e-17 relative error = 8.995002679620014e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.1080091023362319 y[1] (numeric) = 0.108009102336232 absolute error = 9.71445146547012e-17 relative error = 8.994104436891872e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.1080198881463314 y[1] (numeric) = 0.1080198881463315 absolute error = 1.110223024625157e-16 relative error = 1.027795014119224e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.1080306739564309 y[1] (numeric) = 0.108030673956431 absolute error = 1.110223024625157e-16 relative error = 1.027692398802319e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.1080414597665304 y[1] (numeric) = 0.1080414597665305 absolute error = 1.249000902703301e-16 relative error = 1.156038529470353e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.1080522455766299 y[1] (numeric) = 0.10805224557663 absolute error = 1.249000902703301e-16 relative error = 1.155923133330458e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.1080630313867293 y[1] (numeric) = 0.1080630313867295 absolute error = 1.387778780781446e-16 relative error = 1.284230844695582e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.1080738171968288 y[1] (numeric) = 0.108073817196829 absolute error = 1.387778780781446e-16 relative error = 1.284102677944614e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.1080846030069283 y[1] (numeric) = 0.1080846030069284 absolute error = 1.52655665885959e-16 relative error = 1.412371990450607e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.1080953888170278 y[1] (numeric) = 0.1080953888170279 absolute error = 1.52655665885959e-16 relative error = 1.412231063291313e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.1081061746271273 y[1] (numeric) = 0.1081061746271274 absolute error = 1.665334536937735e-16 relative error = 1.540461997366661e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.1081169604372267 y[1] (numeric) = 0.1081169604372269 absolute error = 1.804112415015879e-16 relative error = 1.668667346658674e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.1081277462473262 y[1] (numeric) = 0.1081277462473264 absolute error = 1.804112415015879e-16 relative error = 1.668500896050528e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.1081385320574257 y[1] (numeric) = 0.1081385320574259 absolute error = 1.942890293094024e-16 relative error = 1.796667900080496e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.1081493178675252 y[1] (numeric) = 0.1081493178675254 absolute error = 1.942890293094024e-16 relative error = 1.796488717084577e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.1081601036776246 y[1] (numeric) = 0.1081601036776249 absolute error = 2.081668171172169e-16 relative error = 1.92461739624128e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.1081708894877241 y[1] (numeric) = 0.1081708894877243 absolute error = 2.081668171172169e-16 relative error = 1.924425491026778e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.1081816752978236 y[1] (numeric) = 0.1081816752978238 absolute error = 2.220446049250313e-16 relative error = 2.052515865683755e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.1081924611079231 y[1] (numeric) = 0.1081924611079233 absolute error = 2.220446049250313e-16 relative error = 2.052311248410733e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.1082032469180226 y[1] (numeric) = 0.1082032469180228 absolute error = 2.359223927328458e-16 relative error = 2.180363338926293e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.1082140327281221 y[1] (numeric) = 0.1082140327281223 absolute error = 2.359223927328458e-16 relative error = 2.180146019745696e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.1082248185382215 y[1] (numeric) = 0.1082248185382218 absolute error = 2.498001805406602e-16 relative error = 2.308159846462934e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.108235604348321 y[1] (numeric) = 0.1082356043483213 absolute error = 2.498001805406602e-16 relative error = 2.307929835516599e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.1082463901584205 y[1] (numeric) = 0.1082463901584207 absolute error = 2.636779683484747e-16 relative error = 2.43590541876341e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.10825717596852 y[1] (numeric) = 0.1082571759685202 absolute error = 2.636779683484747e-16 relative error = 2.435662726184077e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.1082679617786194 y[1] (numeric) = 0.1082679617786197 absolute error = 2.775557561562891e-16 relative error = 2.563600086273171e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.1082787475887189 y[1] (numeric) = 0.1082787475887192 absolute error = 2.775557561562891e-16 relative error = 2.563344722184489e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.1082895333988184 y[1] (numeric) = 0.1082895333988187 absolute error = 2.914335439641036e-16 relative error = 2.691243879413406e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.1083003192089179 y[1] (numeric) = 0.1083003192089182 absolute error = 2.914335439641036e-16 relative error = 2.690975853929946e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.1083111050190174 y[1] (numeric) = 0.1083111050190177 absolute error = 3.05311331771918e-16 relative error = 2.818836828581069e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.1083218908291168 y[1] (numeric) = 0.1083218908291172 absolute error = 3.05311331771918e-16 relative error = 2.818556151808334e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.1083326766392163 y[1] (numeric) = 0.1083326766392166 absolute error = 3.191891195797325e-16 relative error = 2.946378964148905e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.1083434624493158 y[1] (numeric) = 0.1083434624493161 absolute error = 3.191891195797325e-16 relative error = 2.946085646183335e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.1083542482594153 y[1] (numeric) = 0.1083542482594156 absolute error = 3.33066907387547e-16 relative error = 3.07387031646547e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.1083650340695148 y[1] (numeric) = 0.1083650340695151 absolute error = 3.33066907387547e-16 relative error = 3.073564367394457e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.1083758198796142 y[1] (numeric) = 0.1083758198796146 absolute error = 3.469446951953614e-16 relative error = 3.201310915855157e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.1083866056897137 y[1] (numeric) = 0.1083866056897141 absolute error = 3.469446951953614e-16 relative error = 3.200992345757052e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.1083973914998132 y[1] (numeric) = 0.1083973914998136 absolute error = 3.608224830031759e-16 relative error = 3.328700792618221e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.1084081773099127 y[1] (numeric) = 0.108408177309913 absolute error = 3.608224830031759e-16 relative error = 3.328369611562345e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.1084189631200122 y[1] (numeric) = 0.1084189631200125 absolute error = 3.747002708109903e-16 relative error = 3.456039977030803e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.1084297489301116 y[1] (numeric) = 0.108429748930112 absolute error = 3.747002708109903e-16 relative error = 3.455696195077453e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.1084405347402111 y[1] (numeric) = 0.1084405347402115 absolute error = 3.885780586188048e-16 relative error = 3.583328499344951e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.1084513205503106 y[1] (numeric) = 0.108451320550311 absolute error = 3.885780586188048e-16 relative error = 3.582972126545414e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.1084621063604101 y[1] (numeric) = 0.1084621063604105 absolute error = 4.024558464266192e-16 relative error = 3.710566389788649e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.1084728921705096 y[1] (numeric) = 0.10847289217051 absolute error = 4.024558464266192e-16 relative error = 3.710197436185209e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.108483677980609 y[1] (numeric) = 0.1084836779806095 absolute error = 4.163336342344337e-16 relative error = 3.837753678565834e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.1084944637907085 y[1] (numeric) = 0.1084944637907089 absolute error = 4.163336342344337e-16 relative error = 3.837372154191784e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.108505249600808 y[1] (numeric) = 0.1085052496008084 absolute error = 4.302114220422482e-16 relative error = 3.964890395856428e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.1085160354109075 y[1] (numeric) = 0.1085160354109079 absolute error = 4.302114220422482e-16 relative error = 3.964496310736077e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.108526821221007 y[1] (numeric) = 0.1085268212210074 absolute error = 4.440892098500626e-16 relative error = 4.091976571816356e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.1085376070311064 y[1] (numeric) = 0.1085376070311069 absolute error = 4.440892098500626e-16 relative error = 4.091569935965037e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.1085483928412059 y[1] (numeric) = 0.1085483928412064 absolute error = 4.579669976578771e-16 relative error = 4.219012236577572e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.1085591786513054 y[1] (numeric) = 0.1085591786513059 absolute error = 4.579669976578771e-16 relative error = 4.218593060001657e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.1085699644614049 y[1] (numeric) = 0.1085699644614053 absolute error = 4.718447854656915e-16 relative error = 4.345997420248082e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.1085807502715044 y[1] (numeric) = 0.1085807502715048 absolute error = 4.718447854656915e-16 relative error = 4.345565712944988e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.1085915360816038 y[1] (numeric) = 0.1085915360816043 absolute error = 4.85722573273506e-16 relative error = 4.472932152911969e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.1086023218917033 y[1] (numeric) = 0.1086023218917038 absolute error = 4.85722573273506e-16 relative error = 4.472487924870166e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.1086131077018028 y[1] (numeric) = 0.1086131077018033 absolute error = 4.996003610813204e-16 relative error = 4.599816464629415e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.1086238935119023 y[1] (numeric) = 0.1086238935119028 absolute error = 4.996003610813204e-16 relative error = 4.599359725828439e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.1086346793220018 y[1] (numeric) = 0.1086346793220023 absolute error = 5.134781488891349e-16 relative error = 4.726650385436727e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.1086454651321012 y[1] (numeric) = 0.1086454651321018 absolute error = 5.134781488891349e-16 relative error = 4.726181145847188e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.1086562509422007 y[1] (numeric) = 0.1086562509422012 absolute error = 5.273559366969494e-16 relative error = 4.85343394534636e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.1086670367523002 y[1] (numeric) = 0.1086670367523007 absolute error = 5.273559366969494e-16 relative error = 4.852952214929949e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.1086778225623997 y[1] (numeric) = 0.1086778225624002 absolute error = 5.412337245047638e-16 relative error = 4.980167174346937e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.1086886083724992 y[1] (numeric) = 0.1086886083724997 absolute error = 5.412337245047638e-16 relative error = 4.97967296305644e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.1086993941825986 y[1] (numeric) = 0.1086993941825992 absolute error = 5.551115123125783e-16 relative error = 5.106850102403279e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.1087101799926981 y[1] (numeric) = 0.1087101799926987 absolute error = 5.551115123125783e-16 relative error = 5.106343420182582e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.1087209658027976 y[1] (numeric) = 0.1087209658027982 absolute error = 5.689893001203927e-16 relative error = 5.233482759456424e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.1087317516128971 y[1] (numeric) = 0.1087317516128977 absolute error = 5.689893001203927e-16 relative error = 5.232963616240527e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.1087425374229966 y[1] (numeric) = 0.1087425374229971 absolute error = 5.828670879282072e-16 relative error = 5.360065175423653e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.108753323233096 y[1] (numeric) = 0.1087533232330966 absolute error = 5.828670879282072e-16 relative error = 5.359533581138676e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.1087641090431955 y[1] (numeric) = 0.1087641090431961 absolute error = 5.967448757360216e-16 relative error = 5.486597380198511e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.108774894853295 y[1] (numeric) = 0.1087748948532956 absolute error = 5.967448757360216e-16 relative error = 5.486053344761703e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.1087856806633945 y[1] (numeric) = 0.1087856806633951 absolute error = 6.106226635438361e-16 relative error = 5.613079403650832e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.108796466473494 y[1] (numeric) = 0.1087964664734946 absolute error = 6.106226635438361e-16 relative error = 5.612522936970585e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.1088072522835934 y[1] (numeric) = 0.1088072522835941 absolute error = 6.245004513516506e-16 relative error = 5.739511275626765e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.1088180380936929 y[1] (numeric) = 0.1088180380936935 absolute error = 6.245004513516506e-16 relative error = 5.738942387602617e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.1088288239037924 y[1] (numeric) = 0.108828823903793 absolute error = 6.38378239159465e-16 relative error = 5.865893025948792e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.1088396097138919 y[1] (numeric) = 0.1088396097138925 absolute error = 6.38378239159465e-16 relative error = 5.865311726471441e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.1088503955239914 y[1] (numeric) = 0.108850395523992 absolute error = 6.522560269672795e-16 relative error = 5.992224684415758e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.1088611813340908 y[1] (numeric) = 0.1088611813340915 absolute error = 6.522560269672795e-16 relative error = 5.991630983367068e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.1088719671441903 y[1] (numeric) = 0.108871967144191 absolute error = 6.661338147750939e-16 relative error = 6.118506280802886e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.1088827529542898 y[1] (numeric) = 0.1088827529542905 absolute error = 6.661338147750939e-16 relative error = 6.117900188055902e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.1088935387643893 y[1] (numeric) = 0.10889353876439 absolute error = 6.800116025829084e-16 relative error = 6.244737844861811e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.1089043245744888 y[1] (numeric) = 0.1089043245744894 absolute error = 6.800116025829084e-16 relative error = 6.244119370280762e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.1089151103845882 y[1] (numeric) = 0.1089151103845889 absolute error = 6.938893903907228e-16 relative error = 6.370919406320594e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.1089258961946877 y[1] (numeric) = 0.1089258961946884 absolute error = 6.938893903907228e-16 relative error = 6.370288559760903e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.1089366820047872 y[1] (numeric) = 0.1089366820047879 absolute error = 7.077671781985373e-16 relative error = 6.497050994883749e-13 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(0.1) + cos(0.05) - tan(0.02); 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 %