##############ECHO OF PROBLEM################# ##############temp/addpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; ! // BEGIN FIRST INPUT BLOCK max_terms = 30; Digits = 32; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 10.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; // 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) - cos(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.009991669443948525 y[1] (numeric) = 0.009991669443948525 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.009993666211781835 y[1] (numeric) = 0.009993666211781846 absolute error = 1.040834085586084e-17 relative error = 1.041493745667645e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.009995663178615648 y[1] (numeric) = 0.009995663178615799 absolute error = 1.509209424099822e-16 relative error = 1.509864225245773e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.009997660344450085 y[1] (numeric) = 0.009997660344450186 absolute error = 1.006139616066548e-16 relative error = 1.006375073169072e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.009999657709284826 y[1] (numeric) = 0.009999657709284807 absolute error = 1.908195823574488e-17 relative error = 1.908261141581577e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.01000165527311932 y[1] (numeric) = 0.01000165527311946 absolute error = 1.370431546021678e-16 relative error = 1.370204739714316e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.01000365303595393 y[1] (numeric) = 0.01000365303595395 absolute error = 2.42861286636753e-17 relative error = 2.427726009327694e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.01000565099778809 y[1] (numeric) = 0.01000565099778808 absolute error = 1.214306433183765e-17 relative error = 1.213620616441856e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.01000764915862149 y[1] (numeric) = 0.01000764915862164 absolute error = 1.491862189340054e-16 relative error = 1.490721912503128e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.01000964751845447 y[1] (numeric) = 0.01000964751845443 absolute error = 3.816391647148976e-17 relative error = 3.812713324932588e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.01001164607728626 y[1] (numeric) = 0.01001164607728626 absolute error = 3.469446951953614e-18 relative error = 3.465411107395075e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.01001364483511677 y[1] (numeric) = 0.01001364483511692 absolute error = 1.509209424099822e-16 relative error = 1.507152938765301e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.01001564379194612 y[1] (numeric) = 0.01001564379194622 absolute error = 1.040834085586084e-16 relative error = 1.039208369633763e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.01001764294777398 y[1] (numeric) = 0.01001764294777396 absolute error = 2.42861286636753e-17 relative error = 2.424335623687997e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.01001964230259982 y[1] (numeric) = 0.01001964230259993 absolute error = 1.110223024625157e-16 relative error = 1.10804656603069e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.01002164185642397 y[1] (numeric) = 0.01002164185642394 absolute error = 3.122502256758253e-17 relative error = 3.1157591754855e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.01002364160924567 y[1] (numeric) = 0.01002364160924578 absolute error = 1.127570259384925e-16 relative error = 1.124910789253348e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.01002564156106526 y[1] (numeric) = 0.01002564156106526 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.01002764171188221 y[1] (numeric) = 0.01002764171188218 absolute error = 2.949029909160572e-17 relative error = 2.940900756023356e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.01002964206169618 y[1] (numeric) = 0.01002964206169633 absolute error = 1.509209424099822e-16 relative error = 1.504749037718491e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.01003164261050752 y[1] (numeric) = 0.01003164261050751 absolute error = 5.204170427930421e-18 relative error = 5.18775501678995e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.01003364335831547 y[1] (numeric) = 0.01003364335831554 absolute error = 6.938893903907228e-17 relative error = 6.915627410811409e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.01003564430512014 y[1] (numeric) = 0.01003564430512019 absolute error = 5.204170427930421e-17 relative error = 5.185686409068202e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.01003764545092122 y[1] (numeric) = 0.01003764545092129 absolute error = 6.591949208711867e-17 relative error = 6.567226588090816e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.0100396467957186 y[1] (numeric) = 0.01003964679571862 absolute error = 1.040834085586084e-17 relative error = 1.036723807883308e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.01004164833951197 y[1] (numeric) = 0.01004164833951198 absolute error = 5.204170427930421e-18 relative error = 5.182585818558295e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.010043650082301 y[1] (numeric) = 0.01004365008230118 absolute error = 1.769417945496343e-16 relative error = 1.761727988328093e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.01004565202408604 y[1] (numeric) = 0.01004565202408601 absolute error = 2.42861286636753e-17 relative error = 2.417576141941356e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.01004765416486631 y[1] (numeric) = 0.01004765416486628 absolute error = 2.775557561562891e-17 relative error = 2.762393605532523e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.01004965650464172 y[1] (numeric) = 0.01004965650464179 absolute error = 6.418476861114186e-17 relative error = 6.38676243128273e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.01005165904341217 y[1] (numeric) = 0.01005165904341232 absolute error = 1.52655665885959e-16 relative error = 1.518711142376135e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.01005366178117756 y[1] (numeric) = 0.0100536617811777 absolute error = 1.35308431126191e-16 relative error = 1.345862175108328e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.01005566471793756 y[1] (numeric) = 0.0100556647179377 absolute error = 1.370431546021678e-16 relative error = 1.362845306066207e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.01005766785369209 y[1] (numeric) = 0.01005766785369214 absolute error = 5.551115123125783e-17 relative error = 5.519286582016143e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.0100596711884408 y[1] (numeric) = 0.01005967118844081 absolute error = 1.387778780781446e-17 relative error = 1.379546860712596e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.01006167472218339 y[1] (numeric) = 0.01006167472218352 absolute error = 1.335737076502141e-16 relative error = 1.327549452137612e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.01006367845491997 y[1] (numeric) = 0.01006367845492006 absolute error = 9.194034422677078e-17 relative error = 9.135858686127106e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.01006568238665022 y[1] (numeric) = 0.01006568238665023 absolute error = 1.214306433183765e-17 relative error = 1.206382624186771e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.01006768651737382 y[1] (numeric) = 0.01006768651737383 absolute error = 1.387778780781446e-17 relative error = 1.37844854265829e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.01006969084709066 y[1] (numeric) = 0.01006969084709066 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.01007169537580044 y[1] (numeric) = 0.01007169537580053 absolute error = 8.847089727481716e-17 relative error = 8.784111708480461e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.01007370010350304 y[1] (numeric) = 0.01007370010350322 absolute error = 1.804112415015879e-16 relative error = 1.790913364979482e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.01007570503019837 y[1] (numeric) = 0.01007570503019855 absolute error = 1.786765180256111e-16 relative error = 1.773340103646259e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.01007771015588632 y[1] (numeric) = 0.0100777101558863 absolute error = 2.081668171172169e-17 relative error = 2.065616235208233e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.01007971548056614 y[1] (numeric) = 0.01007971548056629 absolute error = 1.491862189340054e-16 relative error = 1.480063789713499e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.01008172100423815 y[1] (numeric) = 0.0100817210042383 absolute error = 1.43982048506075e-16 relative error = 1.4281495038947e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.01008372672690205 y[1] (numeric) = 0.01008372672690214 absolute error = 8.673617379884035e-17 relative error = 8.601599006787808e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.01008573264855751 y[1] (numeric) = 0.0100857326485576 absolute error = 9.71445146547012e-17 relative error = 9.631874851312375e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.01008773876920442 y[1] (numeric) = 0.0100877387692045 absolute error = 7.632783294297951e-17 relative error = 7.566396661260805e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.01008974508884247 y[1] (numeric) = 0.01008974508884262 absolute error = 1.474514954580286e-16 relative error = 1.461399610789818e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.01009175160747178 y[1] (numeric) = 0.01009175160747176 absolute error = 1.561251128379126e-17 relative error = 1.547056635067395e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.01009375832509158 y[1] (numeric) = 0.01009375832509173 absolute error = 1.561251128379126e-16 relative error = 1.546749068182155e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.01009576524170221 y[1] (numeric) = 0.01009576524170233 absolute error = 1.144917494144693e-16 relative error = 1.134057168262415e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.01009777235730336 y[1] (numeric) = 0.01009777235730335 absolute error = 1.387778780781446e-17 relative error = 1.374341519768679e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.01009977967189448 y[1] (numeric) = 0.01009977967189459 absolute error = 1.110223024625157e-16 relative error = 1.099254697322427e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.01010178718547568 y[1] (numeric) = 0.01010178718547585 absolute error = 1.700029006457271e-16 relative error = 1.682899248661235e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.01010379489804687 y[1] (numeric) = 0.01010379489804693 absolute error = 5.898059818321144e-17 relative error = 5.83746985943002e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.01010580280960751 y[1] (numeric) = 0.01010580280960764 absolute error = 1.231653667943533e-16 relative error = 1.218758856815026e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.01010781092015772 y[1] (numeric) = 0.01010781092015776 absolute error = 4.163336342344337e-17 relative error = 4.118929781364938e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.01010981922969695 y[1] (numeric) = 0.0101098192296971 absolute error = 1.561251128379126e-16 relative error = 1.544291834410897e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.01011182773822532 y[1] (numeric) = 0.01011182773822547 absolute error = 1.457167719820518e-16 relative error = 1.441052752819401e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.01011383644574251 y[1] (numeric) = 0.01011383644574264 absolute error = 1.301042606982605e-16 relative error = 1.286398701385257e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.01011584535224843 y[1] (numeric) = 0.01011584535224844 absolute error = 1.040834085586084e-17 relative error = 1.02891458829463e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.01011785445774252 y[1] (numeric) = 0.01011785445774265 absolute error = 1.301042606982605e-16 relative error = 1.285887845507606e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.01011986376222491 y[1] (numeric) = 0.01011986376222507 absolute error = 1.647987302177967e-16 relative error = 1.628467873579009e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.01012187326569549 y[1] (numeric) = 0.01012187326569551 absolute error = 1.734723475976807e-17 relative error = 1.713836392178549e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.01012388296815373 y[1] (numeric) = 0.01012388296815376 absolute error = 2.949029909160572e-17 relative error = 2.912943500470333e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.01012589286959952 y[1] (numeric) = 0.01012589286959962 absolute error = 1.006139616066548e-16 relative error = 9.936305163638775e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.01012790297003277 y[1] (numeric) = 0.0101279029700329 absolute error = 1.301042606982605e-16 relative error = 1.284612037489135e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.01012991326945336 y[1] (numeric) = 0.01012991326945338 absolute error = 1.908195823574488e-17 relative error = 1.883723752431949e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.01013192376786076 y[1] (numeric) = 0.01013192376786087 absolute error = 1.092875789865388e-16 relative error = 1.078645886906565e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.01013393446525509 y[1] (numeric) = 0.01013393446525517 absolute error = 7.806255641895632e-17 relative error = 7.703084787709974e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.01013594536163603 y[1] (numeric) = 0.01013594536163608 absolute error = 4.85722573273506e-17 relative error = 4.792079632867182e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.01013795645700325 y[1] (numeric) = 0.01013795645700339 absolute error = 1.405126015541214e-16 relative error = 1.386005179150834e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.01013996775135687 y[1] (numeric) = 0.0101399677513569 absolute error = 3.295974604355933e-17 relative error = 3.250478389258078e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.01014197924469635 y[1] (numeric) = 0.01014197924469642 absolute error = 6.765421556309548e-17 relative error = 6.670711301097818e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.0101439909370216 y[1] (numeric) = 0.01014399093702174 absolute error = 1.457167719820518e-16 relative error = 1.436483657041161e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.0101460028283325 y[1] (numeric) = 0.01014600282833267 absolute error = 1.665334536937735e-16 relative error = 1.641370069686284e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.01014801491862896 y[1] (numeric) = 0.01014801491862899 absolute error = 2.775557561562891e-17 relative error = 2.735074380377321e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.01015002720791043 y[1] (numeric) = 0.01015002720791051 absolute error = 7.459310946700271e-17 relative error = 7.34905512458809e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.01015203969617682 y[1] (numeric) = 0.01015203969617702 absolute error = 2.046973701652632e-16 relative error = 2.01631766907246e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.01015405238342824 y[1] (numeric) = 0.01015405238342834 absolute error = 9.71445146547012e-17 relative error = 9.567068495061573e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.01015606526966415 y[1] (numeric) = 0.01015606526966425 absolute error = 9.540979117872439e-17 relative error = 9.394365696300757e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.01015807835488445 y[1] (numeric) = 0.01015807835488455 absolute error = 9.71445146547012e-17 relative error = 9.563276759721964e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.01016009163908882 y[1] (numeric) = 0.01016009163908904 absolute error = 2.255140518769849e-16 relative error = 2.219606474899961e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.01016210512227737 y[1] (numeric) = 0.01016210512227753 absolute error = 1.561251128379126e-16 relative error = 1.536346170004236e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.01016411880444979 y[1] (numeric) = 0.0101641188044498 absolute error = 1.040834085586084e-17 relative error = 1.024027862730622e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.01016613268560553 y[1] (numeric) = 0.01016613268560566 absolute error = 1.35308431126191e-16 relative error = 1.330972507547314e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.01016814676574471 y[1] (numeric) = 0.01016814676574491 absolute error = 2.029626466892864e-16 relative error = 1.996063307947558e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.01017016104486723 y[1] (numeric) = 0.01017016104486735 absolute error = 1.179611963664229e-16 relative error = 1.159875402621639e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.01017217552297255 y[1] (numeric) = 0.01017217552297276 absolute error = 2.185751579730777e-16 relative error = 2.148755273436385e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.01017419020006078 y[1] (numeric) = 0.01017419020006097 absolute error = 1.856154119295184e-16 relative error = 1.824375289626584e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.01017620507613161 y[1] (numeric) = 0.01017620507613175 absolute error = 1.387778780781446e-16 relative error = 1.363748834068306e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.01017822015118471 y[1] (numeric) = 0.01017822015118491 absolute error = 1.97758476261356e-16 relative error = 1.942957347393764e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.0101802354252202 y[1] (numeric) = 0.01018023542522025 absolute error = 4.336808689942018e-17 relative error = 4.26002789601323e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.01018225089823755 y[1] (numeric) = 0.01018225089823756 absolute error = 1.561251128379126e-17 relative error = 1.533306480052819e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.01018426657023664 y[1] (numeric) = 0.01018426657023665 absolute error = 1.734723475976807e-17 relative error = 1.703336675265856e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.01018628244121715 y[1] (numeric) = 0.01018628244121732 absolute error = 1.682681771697503e-16 relative error = 1.651909596467503e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.01018829851117921 y[1] (numeric) = 0.01018829851117935 absolute error = 1.422473250300982e-16 relative error = 1.396183326136508e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.01019031478012249 y[1] (numeric) = 0.01019031478012256 absolute error = 6.418476861114186e-17 relative error = 6.29860509670834e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.01019233124804668 y[1] (numeric) = 0.01019233124804673 absolute error = 5.551115123125783e-17 relative error = 5.446364514683168e-13 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) + 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 = 0.0102 %