##############ECHO OF PROBLEM################# ##############temp/sub_lin_sinpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 1.0) - sin(x); ! /* 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(cos(x) + (0.05 * x * x) + x) ; } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.095504165278026 y[1] (numeric) = 1.095504165278026 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) = 1.095513266899109 y[1] (numeric) = 1.095513266899109 absolute error = 2.220446049250313e-16 relative error = 2.026854549680961e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 1.095522368430692 y[1] (numeric) = 1.095522368430692 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 1.095531469872775 y[1] (numeric) = 1.095531469872775 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 1.095540571225358 y[1] (numeric) = 1.095540571225358 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 1.09554967248844 y[1] (numeric) = 1.09554967248844 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 1.095558773662023 y[1] (numeric) = 1.095558773662023 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 1.095567874746106 y[1] (numeric) = 1.095567874746106 absolute error = 2.220446049250313e-16 relative error = 2.026753522473351e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 1.095576975740689 y[1] (numeric) = 1.095576975740689 absolute error = 2.220446049250313e-16 relative error = 2.026736686164047e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 1.095586076645773 y[1] (numeric) = 1.095586076645773 absolute error = 2.220446049250313e-16 relative error = 2.026719850300026e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 1.095595177461357 y[1] (numeric) = 1.095595177461357 absolute error = 2.220446049250313e-16 relative error = 2.026703014881271e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 1.095604278187442 y[1] (numeric) = 1.095604278187442 absolute error = 2.220446049250313e-16 relative error = 2.026686179907768e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 1.095613378824027 y[1] (numeric) = 1.095613378824027 absolute error = 2.220446049250313e-16 relative error = 2.0266693453795e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 1.095622479371113 y[1] (numeric) = 1.095622479371113 absolute error = 4.440892098500626e-16 relative error = 4.053305022592907e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 1.0956315798287 y[1] (numeric) = 1.0956315798287 absolute error = 4.440892098500626e-16 relative error = 4.053271355317224e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 1.095640680196788 y[1] (numeric) = 1.095640680196788 absolute error = 4.440892098500626e-16 relative error = 4.053237688931921e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 1.095649780475377 y[1] (numeric) = 1.095649780475378 absolute error = 4.440892098500626e-16 relative error = 4.053204023436965e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 1.095658880664467 y[1] (numeric) = 1.095658880664468 absolute error = 4.440892098500626e-16 relative error = 4.053170358832328e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 1.095667980764059 y[1] (numeric) = 1.095667980764059 absolute error = 6.661338147750939e-16 relative error = 6.079705042676968e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 1.095677080774152 y[1] (numeric) = 1.095677080774152 absolute error = 6.661338147750939e-16 relative error = 6.079654548440827e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 1.095686180694746 y[1] (numeric) = 1.095686180694747 absolute error = 6.661338147750939e-16 relative error = 6.079604055540024e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 1.095695280525842 y[1] (numeric) = 1.095695280525843 absolute error = 6.661338147750939e-16 relative error = 6.079553563974515e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 1.09570438026744 y[1] (numeric) = 1.09570438026744 absolute error = 6.661338147750939e-16 relative error = 6.079503073744251e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 1.095713479919539 y[1] (numeric) = 1.09571347991954 absolute error = 4.440892098500626e-16 relative error = 4.052968389899456e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 1.095722579482141 y[1] (numeric) = 1.095722579482141 absolute error = 6.661338147750939e-16 relative error = 6.079402097289275e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 1.095731678955244 y[1] (numeric) = 1.095731678955244 absolute error = 4.440892098500626e-16 relative error = 4.05290107404298e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 1.095740778338849 y[1] (numeric) = 1.09574077833885 absolute error = 6.661338147750939e-16 relative error = 6.079301126174727e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 1.095749877632957 y[1] (numeric) = 1.095749877632958 absolute error = 6.661338147750939e-16 relative error = 6.07925064262e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 1.095758976837567 y[1] (numeric) = 1.095758976837567 absolute error = 4.440892098500626e-16 relative error = 4.052800106933493e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 1.095768075952679 y[1] (numeric) = 1.09576807595268 absolute error = 4.440892098500626e-16 relative error = 4.052766453010269e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 1.095777174978294 y[1] (numeric) = 1.095777174978294 absolute error = 4.440892098500626e-16 relative error = 4.052732799976962e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 1.095786273914411 y[1] (numeric) = 1.095786273914412 absolute error = 4.440892098500626e-16 relative error = 4.052699147833542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 1.095795372761031 y[1] (numeric) = 1.095795372761031 absolute error = 4.440892098500626e-16 relative error = 4.052665496579978e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 1.095804471518154 y[1] (numeric) = 1.095804471518154 absolute error = 4.440892098500626e-16 relative error = 4.052631846216239e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 1.095813570185779 y[1] (numeric) = 1.09581357018578 absolute error = 6.661338147750939e-16 relative error = 6.078897295113442e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 1.095822668763908 y[1] (numeric) = 1.095822668763909 absolute error = 6.661338147750939e-16 relative error = 6.078846822237172e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 1.09583176725254 y[1] (numeric) = 1.09583176725254 absolute error = 4.440892098500626e-16 relative error = 4.052530900463666e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 1.095840865651675 y[1] (numeric) = 1.095840865651675 absolute error = 6.661338147750939e-16 relative error = 6.078745880488381e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 1.095849963961313 y[1] (numeric) = 1.095849963961314 absolute error = 4.440892098500626e-16 relative error = 4.052463607743846e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 1.095859062181455 y[1] (numeric) = 1.095859062181455 absolute error = 4.440892098500626e-16 relative error = 4.052429962718412e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 1.0958681603121 y[1] (numeric) = 1.0958681603121 absolute error = 4.440892098500626e-16 relative error = 4.052396318582588e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 1.095877258353248 y[1] (numeric) = 1.095877258353249 absolute error = 4.440892098500626e-16 relative error = 4.052362675336343e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 1.095886356304901 y[1] (numeric) = 1.095886356304901 absolute error = 4.440892098500626e-16 relative error = 4.052329032979647e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 1.095895454167057 y[1] (numeric) = 1.095895454167057 absolute error = 4.440892098500626e-16 relative error = 4.052295391512467e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 1.095904551939717 y[1] (numeric) = 1.095904551939717 absolute error = 4.440892098500626e-16 relative error = 4.052261750934774e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 1.095913649622881 y[1] (numeric) = 1.095913649622881 absolute error = 4.440892098500626e-16 relative error = 4.052228111246538e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 1.095922747216549 y[1] (numeric) = 1.095922747216549 absolute error = 6.661338147750939e-16 relative error = 6.07829170867159e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 1.095931844720721 y[1] (numeric) = 1.095931844720722 absolute error = 4.440892098500626e-16 relative error = 4.052160834538309e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 1.095940942135398 y[1] (numeric) = 1.095940942135398 absolute error = 4.440892098500626e-16 relative error = 4.052127197518256e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 1.095950039460579 y[1] (numeric) = 1.095950039460579 absolute error = 4.440892098500626e-16 relative error = 4.052093561387536e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 1.095959136696264 y[1] (numeric) = 1.095959136696264 absolute error = 4.440892098500626e-16 relative error = 4.052059926146118e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 1.095968233842454 y[1] (numeric) = 1.095968233842454 absolute error = 4.440892098500626e-16 relative error = 4.052026291793971e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 1.095977330899149 y[1] (numeric) = 1.095977330899149 absolute error = 2.220446049250313e-16 relative error = 2.025996329165532e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 1.095986427866348 y[1] (numeric) = 1.095986427866348 absolute error = 2.220446049250313e-16 relative error = 2.025979512878684e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 1.095995524744052 y[1] (numeric) = 1.095995524744053 absolute error = 4.440892098500626e-16 relative error = 4.051925394072851e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 1.096004621532262 y[1] (numeric) = 1.096004621532262 absolute error = 4.440892098500626e-16 relative error = 4.051891763277482e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 1.096013718230976 y[1] (numeric) = 1.096013718230977 absolute error = 4.440892098500626e-16 relative error = 4.051858133371231e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 1.096022814840196 y[1] (numeric) = 1.096022814840196 absolute error = 4.440892098500626e-16 relative error = 4.051824504354067e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 1.096031911359921 y[1] (numeric) = 1.096031911359922 absolute error = 6.661338147750939e-16 relative error = 6.077686314338939e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 1.096041007790151 y[1] (numeric) = 1.096041007790152 absolute error = 6.661338147750939e-16 relative error = 6.077635873480314e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 1.096050104130887 y[1] (numeric) = 1.096050104130888 absolute error = 6.661338147750939e-16 relative error = 6.077585433955182e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 1.096059200382129 y[1] (numeric) = 1.096059200382129 absolute error = 4.440892098500626e-16 relative error = 4.051689997175663e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 1.096068296543875 y[1] (numeric) = 1.096068296543876 absolute error = 6.661338147750939e-16 relative error = 6.077484558905209e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 1.096077392616128 y[1] (numeric) = 1.096077392616129 absolute error = 6.661338147750939e-16 relative error = 6.077434123380276e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 1.096086488598887 y[1] (numeric) = 1.096086488598888 absolute error = 6.661338147750939e-16 relative error = 6.077383689188651e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 1.096095584492152 y[1] (numeric) = 1.096095584492153 absolute error = 6.661338147750939e-16 relative error = 6.077333256330286e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 1.096104680295923 y[1] (numeric) = 1.096104680295924 absolute error = 6.661338147750939e-16 relative error = 6.077282824805138e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 1.0961137760102 y[1] (numeric) = 1.096113776010201 absolute error = 6.661338147750939e-16 relative error = 6.077232394613159e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 1.096122871634983 y[1] (numeric) = 1.096122871634984 absolute error = 6.661338147750939e-16 relative error = 6.077181965754303e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 1.096131967170273 y[1] (numeric) = 1.096131967170274 absolute error = 6.661338147750939e-16 relative error = 6.077131538228524e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 1.096141062616069 y[1] (numeric) = 1.09614106261607 absolute error = 8.881784197001252e-16 relative error = 8.102774816047701e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 1.096150157972372 y[1] (numeric) = 1.096150157972373 absolute error = 6.661338147750939e-16 relative error = 6.077030687176011e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 1.096159253239182 y[1] (numeric) = 1.096159253239182 absolute error = 6.661338147750939e-16 relative error = 6.076980263649188e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 1.096168348416498 y[1] (numeric) = 1.096168348416499 absolute error = 6.661338147750939e-16 relative error = 6.076929841455256e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 1.096177443504321 y[1] (numeric) = 1.096177443504322 absolute error = 8.881784197001252e-16 relative error = 8.102505894125562e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 1.096186538502651 y[1] (numeric) = 1.096186538502652 absolute error = 8.881784197001252e-16 relative error = 8.102438668087848e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 1.096195633411489 y[1] (numeric) = 1.09619563341149 absolute error = 8.881784197001252e-16 relative error = 8.102371443827141e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 1.096204728230833 y[1] (numeric) = 1.096204728230834 absolute error = 8.881784197001252e-16 relative error = 8.102304221343379e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 1.096213822960685 y[1] (numeric) = 1.096213822960686 absolute error = 8.881784197001252e-16 relative error = 8.102237000636499e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 1.096222917601045 y[1] (numeric) = 1.096222917601045 absolute error = 8.881784197001252e-16 relative error = 8.102169781706441e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 1.096232012151911 y[1] (numeric) = 1.096232012151912 absolute error = 1.110223024625157e-15 relative error = 1.012762820569143e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 1.096241106613286 y[1] (numeric) = 1.096241106613287 absolute error = 1.110223024625157e-15 relative error = 1.012754418647068e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 1.096250200985168 y[1] (numeric) = 1.096250200985169 absolute error = 1.110223024625157e-15 relative error = 1.012746016947073e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 1.096259295267557 y[1] (numeric) = 1.096259295267558 absolute error = 1.110223024625157e-15 relative error = 1.01273761546915e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 1.096268389460455 y[1] (numeric) = 1.096268389460456 absolute error = 1.110223024625157e-15 relative error = 1.012729214213291e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 1.096277483563861 y[1] (numeric) = 1.096277483563862 absolute error = 1.110223024625157e-15 relative error = 1.012720813179489e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 1.096286577577775 y[1] (numeric) = 1.096286577577776 absolute error = 1.110223024625157e-15 relative error = 1.012712412367735e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 1.096295671502197 y[1] (numeric) = 1.096295671502198 absolute error = 1.110223024625157e-15 relative error = 1.012704011778023e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 1.096304765337127 y[1] (numeric) = 1.096304765337129 absolute error = 1.332267629550188e-15 relative error = 1.215234733692414e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 1.096313859082566 y[1] (numeric) = 1.096313859082567 absolute error = 1.332267629550188e-15 relative error = 1.21522465351763e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 1.096322952738513 y[1] (numeric) = 1.096322952738515 absolute error = 1.332267629550188e-15 relative error = 1.215214573609269e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 1.096332046304969 y[1] (numeric) = 1.096332046304971 absolute error = 1.332267629550188e-15 relative error = 1.215204493967321e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 1.096341139781934 y[1] (numeric) = 1.096341139781935 absolute error = 1.332267629550188e-15 relative error = 1.215194414591776e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 1.096350233169407 y[1] (numeric) = 1.096350233169409 absolute error = 1.332267629550188e-15 relative error = 1.215184335482626e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 1.09635932646739 y[1] (numeric) = 1.096359326467391 absolute error = 1.332267629550188e-15 relative error = 1.21517425663986e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 1.096368419675881 y[1] (numeric) = 1.096368419675882 absolute error = 1.332267629550188e-15 relative error = 1.21516417806347e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 1.096377512794881 y[1] (numeric) = 1.096377512794883 absolute error = 1.332267629550188e-15 relative error = 1.215154099753447e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 1.096386605824391 y[1] (numeric) = 1.096386605824392 absolute error = 1.332267629550188e-15 relative error = 1.215144021709782e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 1.09639569876441 y[1] (numeric) = 1.096395698764411 absolute error = 1.332267629550188e-15 relative error = 1.215133943932465e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 1.096404791614938 y[1] (numeric) = 1.09640479161494 absolute error = 1.110223024625157e-15 relative error = 1.012603222017905e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 1.096413884375976 y[1] (numeric) = 1.096413884375977 absolute error = 1.110223024625157e-15 relative error = 1.012594824314031e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = (0.1 * x + 1.0) - sin(x); Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 13 Hours 28 Minutes 24 Seconds Optimized Time Remaining = 12 Hours 7 Minutes 34 Seconds Time to Timeout = 50 Seconds Percent Done = 0.02061 %