##############ECHO OF PROBLEM################# ##############temp/sinpostode.ode################# diff ( y , x , 1 ) = sin(x); ! // BEGIN FIRST INPUT BLOCK Digits = 16; 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(2.0 - cos(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.004995834721974 y[1] (numeric) = 1.004995834721974 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 1.004996833105891 y[1] (numeric) = 1.004996833105891 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.004997831589308 y[1] (numeric) = 1.004997831589308 absolute error = 2.220446049250313e-16 relative error = 2.209403821039982e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.004998830172225 y[1] (numeric) = 1.004998830172225 absolute error = 2.220446049250313e-16 relative error = 2.209401625740996e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.004999828854642 y[1] (numeric) = 1.004999828854642 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.00500082763656 y[1] (numeric) = 1.00500082763656 absolute error = 2.220446049250313e-16 relative error = 2.209397234499888e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.005001826517977 y[1] (numeric) = 1.005001826517977 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.005002825498894 y[1] (numeric) = 1.005002825498894 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.005003824579311 y[1] (numeric) = 1.005003824579311 absolute error = 2.220446049250313e-16 relative error = 2.209390646030407e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.005004823759227 y[1] (numeric) = 1.005004823759227 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.005005823038643 y[1] (numeric) = 1.005005823038643 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.005006822417558 y[1] (numeric) = 1.005006822417559 absolute error = 2.220446049250313e-16 relative error = 2.209384055631581e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.005007821895973 y[1] (numeric) = 1.005007821895973 absolute error = 2.220446049250313e-16 relative error = 2.209381858403236e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.005008821473887 y[1] (numeric) = 1.005008821473887 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.0050098211513 y[1] (numeric) = 1.0050098211513 absolute error = 2.220446049250313e-16 relative error = 2.20937746330345e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.005010820928212 y[1] (numeric) = 1.005010820928212 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.005011820804623 y[1] (numeric) = 1.005011820804623 absolute error = 2.220446049250313e-16 relative error = 2.209373067346214e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.005012820780533 y[1] (numeric) = 1.005012820780533 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.005013820855941 y[1] (numeric) = 1.005013820855941 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.005014821030848 y[1] (numeric) = 1.005014821030848 absolute error = 2.220446049250313e-16 relative error = 2.209366471802666e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.005015821305254 y[1] (numeric) = 1.005015821305254 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.005016821679158 y[1] (numeric) = 1.005016821679158 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.00501782215256 y[1] (numeric) = 1.00501782215256 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.005018822725461 y[1] (numeric) = 1.005018822725461 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.005019823397859 y[1] (numeric) = 1.005019823397859 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.005020824169756 y[1] (numeric) = 1.005020824169756 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.00502182504115 y[1] (numeric) = 1.005021825041151 absolute error = 2.220446049250313e-16 relative error = 2.209351074698698e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.005022826012043 y[1] (numeric) = 1.005022826012043 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.005023827082433 y[1] (numeric) = 1.005023827082433 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.005024828252321 y[1] (numeric) = 1.005024828252321 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.005025829521706 y[1] (numeric) = 1.005025829521706 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.005026830890589 y[1] (numeric) = 1.005026830890589 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.005027832358969 y[1] (numeric) = 1.005027832358969 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.005028833926846 y[1] (numeric) = 1.005028833926846 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.00502983559422 y[1] (numeric) = 1.00502983559422 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.005030837361092 y[1] (numeric) = 1.005030837361092 absolute error = 2.220446049250313e-16 relative error = 2.209331262989438e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.00503183922746 y[1] (numeric) = 1.00503183922746 absolute error = 2.220446049250313e-16 relative error = 2.209329060616734e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.005032841193325 y[1] (numeric) = 1.005032841193325 absolute error = 2.220446049250313e-16 relative error = 2.209326858029701e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.005033843258687 y[1] (numeric) = 1.005033843258687 absolute error = 2.220446049250313e-16 relative error = 2.209324655228341e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.005034845423545 y[1] (numeric) = 1.005034845423546 absolute error = 2.220446049250313e-16 relative error = 2.209322452212654e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.0050358476879 y[1] (numeric) = 1.0050358476879 absolute error = 2.220446049250313e-16 relative error = 2.209320248982643e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.005036850051751 y[1] (numeric) = 1.005036850051752 absolute error = 2.220446049250313e-16 relative error = 2.209318045538308e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.005037852515099 y[1] (numeric) = 1.005037852515099 absolute error = 2.220446049250313e-16 relative error = 2.209315841879651e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.005038855077943 y[1] (numeric) = 1.005038855077943 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.005039857740283 y[1] (numeric) = 1.005039857740283 absolute error = 2.220446049250313e-16 relative error = 2.209311433919379e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.005040860502119 y[1] (numeric) = 1.005040860502119 absolute error = 2.220446049250313e-16 relative error = 2.209309229617766e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.005041863363451 y[1] (numeric) = 1.005041863363451 absolute error = 2.220446049250313e-16 relative error = 2.209307025101837e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.005042866324279 y[1] (numeric) = 1.005042866324279 absolute error = 2.220446049250313e-16 relative error = 2.209304820371595e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.005043869384602 y[1] (numeric) = 1.005043869384602 absolute error = 2.220446049250313e-16 relative error = 2.209302615427039e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.005044872544421 y[1] (numeric) = 1.005044872544421 absolute error = 2.220446049250313e-16 relative error = 2.209300410268173e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.005045875803736 y[1] (numeric) = 1.005045875803736 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.005046879162546 y[1] (numeric) = 1.005046879162546 absolute error = 2.220446049250313e-16 relative error = 2.209295999307512e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.005047882620851 y[1] (numeric) = 1.005047882620851 absolute error = 2.220446049250313e-16 relative error = 2.209293793505721e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.005048886178652 y[1] (numeric) = 1.005048886178652 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.005049889835947 y[1] (numeric) = 1.005049889835947 absolute error = 2.220446049250313e-16 relative error = 2.209289381259226e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.005050893592738 y[1] (numeric) = 1.005050893592738 absolute error = 2.220446049250313e-16 relative error = 2.209287174814525e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.005051897449023 y[1] (numeric) = 1.005051897449024 absolute error = 2.220446049250313e-16 relative error = 2.209284968155522e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.005052901404804 y[1] (numeric) = 1.005052901404804 absolute error = 2.220446049250313e-16 relative error = 2.209282761282221e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.005053905460079 y[1] (numeric) = 1.005053905460079 absolute error = 2.220446049250313e-16 relative error = 2.209280554194623e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.005054909614848 y[1] (numeric) = 1.005054909614849 absolute error = 4.440892098500626e-16 relative error = 4.418556693785457e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.005055913869113 y[1] (numeric) = 1.005055913869113 absolute error = 4.440892098500626e-16 relative error = 4.418552278753079e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.005056918222871 y[1] (numeric) = 1.005056918222872 absolute error = 4.440892098500626e-16 relative error = 4.418547863292115e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.005057922676124 y[1] (numeric) = 1.005057922676124 absolute error = 2.220446049250313e-16 relative error = 2.209271723701284e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.005058927228871 y[1] (numeric) = 1.005058927228872 absolute error = 4.440892098500626e-16 relative error = 4.418539031084443e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.005059931881112 y[1] (numeric) = 1.005059931881113 absolute error = 4.440892098500626e-16 relative error = 4.41853461433774e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.005060936632848 y[1] (numeric) = 1.005060936632848 absolute error = 2.220446049250313e-16 relative error = 2.209265098581231e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.005061941484077 y[1] (numeric) = 1.005061941484077 absolute error = 2.220446049250313e-16 relative error = 2.209262889779308e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.0050629464348 y[1] (numeric) = 1.0050629464348 absolute error = 2.220446049250313e-16 relative error = 2.2092606807631e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.005063951485016 y[1] (numeric) = 1.005063951485017 absolute error = 2.220446049250313e-16 relative error = 2.209258471532611e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.005064956634727 y[1] (numeric) = 1.005064956634727 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.00506596188393 y[1] (numeric) = 1.00506596188393 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.005066967232628 y[1] (numeric) = 1.005066967232628 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.005067972680818 y[1] (numeric) = 1.005067972680818 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.005068978228502 y[1] (numeric) = 1.005068978228502 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.005069983875678 y[1] (numeric) = 1.005069983875678 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.005070989622348 y[1] (numeric) = 1.005070989622348 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.005071995468511 y[1] (numeric) = 1.005071995468511 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.005073001414166 y[1] (numeric) = 1.005073001414166 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.005074007459315 y[1] (numeric) = 1.005074007459314 absolute error = 2.220446049250313e-16 relative error = 2.209236367442521e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.005075013603955 y[1] (numeric) = 1.005075013603955 absolute error = 2.220446049250313e-16 relative error = 2.209234155855026e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.005076019848088 y[1] (numeric) = 1.005076019848088 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.005077026191714 y[1] (numeric) = 1.005077026191714 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.005078032634832 y[1] (numeric) = 1.005078032634832 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.005079039177442 y[1] (numeric) = 1.005079039177442 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.005080045819544 y[1] (numeric) = 1.005080045819545 absolute error = 2.220446049250313e-16 relative error = 2.209223094703623e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.005081052561139 y[1] (numeric) = 1.005081052561139 absolute error = 2.220446049250313e-16 relative error = 2.209220881830567e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.005082059402225 y[1] (numeric) = 1.005082059402225 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.005083066342803 y[1] (numeric) = 1.005083066342803 absolute error = 2.220446049250313e-16 relative error = 2.209216455441691e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.005084073382872 y[1] (numeric) = 1.005084073382873 absolute error = 2.220446049250313e-16 relative error = 2.209214241925875e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.005085080522434 y[1] (numeric) = 1.005085080522434 absolute error = 2.220446049250313e-16 relative error = 2.209212028195809e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.005086087761486 y[1] (numeric) = 1.005086087761486 absolute error = 2.220446049250313e-16 relative error = 2.209209814251493e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.00508709510003 y[1] (numeric) = 1.005087095100031 absolute error = 2.220446049250313e-16 relative error = 2.209207600092931e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.005088102538066 y[1] (numeric) = 1.005088102538066 absolute error = 2.220446049250313e-16 relative error = 2.209205385720122e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.005089110075592 y[1] (numeric) = 1.005089110075593 absolute error = 2.220446049250313e-16 relative error = 2.209203171133069e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.00509011771261 y[1] (numeric) = 1.00509011771261 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.005091125449119 y[1] (numeric) = 1.005091125449119 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.005092133285118 y[1] (numeric) = 1.005092133285118 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.005093141220609 y[1] (numeric) = 1.005093141220609 absolute error = 2.220446049250313e-16 relative error = 2.209194310642446e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.00509414925559 y[1] (numeric) = 1.00509414925559 absolute error = 2.220446049250313e-16 relative error = 2.209192094984195e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.005095157390061 y[1] (numeric) = 1.005095157390061 absolute error = 2.220446049250313e-16 relative error = 2.209189879111708e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 1.005096165624023 y[1] (numeric) = 1.005096165624024 absolute error = 2.220446049250313e-16 relative error = 2.209187663024988e-14 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin(x); 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 %