##############ECHO OF PROBLEM################# ##############temp/lin_sinhpostode.ode################# diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.0; 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 = 10; // 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(cosh(2.0*x+3.0)/2.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0 y[1] (analytic) = 5.033830997888883 y[1] (numeric) = 5.033830997888883 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 1e-05 y[1] (analytic) = 5.033931177644931 y[1] (numeric) = 5.03393117764493 absolute error = 8.881784197001252e-16 relative error = 1.764383318636569e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 2e-05 y[1] (analytic) = 5.034031359414548 y[1] (numeric) = 5.034031359414549 absolute error = 8.881784197001252e-16 relative error = 1.764348205815347e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 3e-05 y[1] (analytic) = 5.034131543197781 y[1] (numeric) = 5.034131543197781 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 4e-05 y[1] (analytic) = 5.034231728994667 y[1] (numeric) = 5.034231728994666 absolute error = 8.881784197001252e-16 relative error = 1.764277982248334e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 5e-05 y[1] (analytic) = 5.034331916805244 y[1] (numeric) = 5.034331916805243 absolute error = 8.881784197001252e-16 relative error = 1.764242871502516e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 6e-05 y[1] (analytic) = 5.034432106629553 y[1] (numeric) = 5.034432106629553 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 7.000000000000001e-05 y[1] (analytic) = 5.034532298467636 y[1] (numeric) = 5.034532298467636 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 8.000000000000001e-05 y[1] (analytic) = 5.034632492319533 y[1] (numeric) = 5.034632492319532 absolute error = 8.881784197001252e-16 relative error = 1.764137543415662e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000001e-05 y[1] (analytic) = 5.03473268818528 y[1] (numeric) = 5.034732688185281 absolute error = 8.881784197001252e-16 relative error = 1.764102435436866e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0001 y[1] (analytic) = 5.034832886064923 y[1] (numeric) = 5.034832886064923 absolute error = 8.881784197001252e-16 relative error = 1.764067328149792e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00011 y[1] (analytic) = 5.034933085958499 y[1] (numeric) = 5.034933085958499 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00012 y[1] (analytic) = 5.035033287866045 y[1] (numeric) = 5.035033287866047 absolute error = 1.77635683940025e-15 relative error = 3.527994231301514e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00013 y[1] (analytic) = 5.035133491787607 y[1] (numeric) = 5.035133491787608 absolute error = 8.881784197001252e-16 relative error = 1.76396201043877e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00014 y[1] (analytic) = 5.035233697723223 y[1] (numeric) = 5.035233697723223 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00015 y[1] (analytic) = 5.035333905672932 y[1] (numeric) = 5.035333905672932 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00016 y[1] (analytic) = 5.035434115636773 y[1] (numeric) = 5.035434115636773 absolute error = 8.881784197001252e-16 relative error = 1.763856698952773e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00017 y[1] (analytic) = 5.035534327614789 y[1] (numeric) = 5.035534327614789 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00018 y[1] (analytic) = 5.035634541607019 y[1] (numeric) = 5.035634541607018 absolute error = 8.881784197001252e-16 relative error = 1.763786494753611e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00019 y[1] (analytic) = 5.035734757613501 y[1] (numeric) = 5.035734757613501 absolute error = 8.881784197001252e-16 relative error = 1.763751393691443e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002 y[1] (analytic) = 5.035834975634279 y[1] (numeric) = 5.035834975634279 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00021 y[1] (analytic) = 5.03593519566939 y[1] (numeric) = 5.035935195669389 absolute error = 8.881784197001252e-16 relative error = 1.763681193641862e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00022 y[1] (analytic) = 5.036035417718876 y[1] (numeric) = 5.036035417718875 absolute error = 1.77635683940025e-15 relative error = 3.527292189308846e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00023 y[1] (analytic) = 5.036135641782774 y[1] (numeric) = 5.036135641782774 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00024 y[1] (analytic) = 5.036235867861128 y[1] (numeric) = 5.036235867861128 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00025 y[1] (analytic) = 5.036336095953977 y[1] (numeric) = 5.036336095953977 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.00026 y[1] (analytic) = 5.036436326061358 y[1] (numeric) = 5.036436326061359 absolute error = 1.77635683940025e-15 relative error = 3.527011411240086e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002700000000000001 y[1] (analytic) = 5.036536558183315 y[1] (numeric) = 5.036536558183316 absolute error = 8.881784197001252e-16 relative error = 1.763470610090225e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002800000000000001 y[1] (analytic) = 5.036636792319888 y[1] (numeric) = 5.036636792319888 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0002900000000000001 y[1] (analytic) = 5.036737028471112 y[1] (numeric) = 5.036737028471114 absolute error = 1.77635683940025e-15 relative error = 3.526800842210058e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003000000000000001 y[1] (analytic) = 5.036837266637034 y[1] (numeric) = 5.036837266637035 absolute error = 8.881784197001252e-16 relative error = 1.763365327649624e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003100000000000002 y[1] (analytic) = 5.036937506817691 y[1] (numeric) = 5.036937506817691 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003200000000000002 y[1] (analytic) = 5.037037749013122 y[1] (numeric) = 5.037037749013122 absolute error = 8.881784197001252e-16 relative error = 1.763295142813136e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003300000000000002 y[1] (analytic) = 5.037137993223367 y[1] (numeric) = 5.037137993223368 absolute error = 8.881784197001252e-16 relative error = 1.763260051432027e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003400000000000002 y[1] (analytic) = 5.037238239448469 y[1] (numeric) = 5.037238239448469 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003500000000000003 y[1] (analytic) = 5.037338487688467 y[1] (numeric) = 5.037338487688466 absolute error = 8.881784197001252e-16 relative error = 1.76318987074401e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003600000000000003 y[1] (analytic) = 5.037438737943397 y[1] (numeric) = 5.037438737943398 absolute error = 8.881784197001252e-16 relative error = 1.763154781437077e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003700000000000003 y[1] (analytic) = 5.037538990213305 y[1] (numeric) = 5.037538990213306 absolute error = 8.881784197001252e-16 relative error = 1.763119692821508e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003800000000000003 y[1] (analytic) = 5.037639244498228 y[1] (numeric) = 5.037639244498228 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0003900000000000004 y[1] (analytic) = 5.037739500798206 y[1] (numeric) = 5.037739500798208 absolute error = 1.77635683940025e-15 relative error = 3.526099035328832e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004000000000000004 y[1] (analytic) = 5.037839759113281 y[1] (numeric) = 5.037839759113282 absolute error = 1.77635683940025e-15 relative error = 3.52602886224573e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004100000000000004 y[1] (analytic) = 5.037940019443492 y[1] (numeric) = 5.037940019443493 absolute error = 8.881784197001252e-16 relative error = 1.762979345272627e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004200000000000005 y[1] (analytic) = 5.038040281788879 y[1] (numeric) = 5.038040281788879 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004300000000000005 y[1] (analytic) = 5.038140546149481 y[1] (numeric) = 5.038140546149481 absolute error = 8.881784197001252e-16 relative error = 1.762909175646036e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004400000000000005 y[1] (analytic) = 5.03824081252534 y[1] (numeric) = 5.03824081252534 absolute error = 8.881784197001252e-16 relative error = 1.762874091869657e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004500000000000005 y[1] (analytic) = 5.038341080916496 y[1] (numeric) = 5.038341080916496 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004600000000000006 y[1] (analytic) = 5.038441351322986 y[1] (numeric) = 5.038441351322987 absolute error = 1.77635683940025e-15 relative error = 3.525607852781332e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004700000000000006 y[1] (analytic) = 5.038541623744854 y[1] (numeric) = 5.038541623744855 absolute error = 8.881784197001252e-16 relative error = 1.762768844688027e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004800000000000006 y[1] (analytic) = 5.03864189818214 y[1] (numeric) = 5.03864189818214 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0004900000000000006 y[1] (analytic) = 5.038742174634882 y[1] (numeric) = 5.038742174634882 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005000000000000007 y[1] (analytic) = 5.038842453103119 y[1] (numeric) = 5.03884245310312 absolute error = 8.881784197001252e-16 relative error = 1.762663603727379e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005100000000000007 y[1] (analytic) = 5.038942733586895 y[1] (numeric) = 5.038942733586896 absolute error = 8.881784197001252e-16 relative error = 1.762628524789542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005200000000000007 y[1] (analytic) = 5.039043016086248 y[1] (numeric) = 5.039043016086248 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005300000000000007 y[1] (analytic) = 5.039143300601216 y[1] (numeric) = 5.039143300601218 absolute error = 1.77635683940025e-15 relative error = 3.525116737974716e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005400000000000008 y[1] (analytic) = 5.039243587131844 y[1] (numeric) = 5.039243587131845 absolute error = 1.77635683940025e-15 relative error = 3.525046584245968e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005500000000000008 y[1] (analytic) = 5.039343875678169 y[1] (numeric) = 5.03934387567817 absolute error = 8.881784197001252e-16 relative error = 1.762488215949738e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005600000000000008 y[1] (analytic) = 5.039444166240229 y[1] (numeric) = 5.039444166240232 absolute error = 2.664535259100376e-15 relative error = 5.28735942140282e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005700000000000008 y[1] (analytic) = 5.03954445881807 y[1] (numeric) = 5.039544458818072 absolute error = 1.77635683940025e-15 relative error = 3.524836131353153e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005800000000000009 y[1] (analytic) = 5.039644753411728 y[1] (numeric) = 5.039644753411729 absolute error = 1.77635683940025e-15 relative error = 3.524765983153269e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0005900000000000009 y[1] (analytic) = 5.039745050021244 y[1] (numeric) = 5.039745050021245 absolute error = 8.881784197001252e-16 relative error = 1.762347918167768e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006000000000000009 y[1] (analytic) = 5.039845348646656 y[1] (numeric) = 5.039845348646658 absolute error = 1.77635683940025e-15 relative error = 3.524625690899927e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006100000000000009 y[1] (analytic) = 5.039945649288008 y[1] (numeric) = 5.039945649288009 absolute error = 1.77635683940025e-15 relative error = 3.524555546846415e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000620000000000001 y[1] (analytic) = 5.040045951945339 y[1] (numeric) = 5.04004595194534 absolute error = 8.881784197001252e-16 relative error = 1.762242702087487e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000630000000000001 y[1] (analytic) = 5.040146256618685 y[1] (numeric) = 5.040146256618688 absolute error = 3.552713678800501e-15 relative error = 7.048830525771156e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.000640000000000001 y[1] (analytic) = 5.040246563308092 y[1] (numeric) = 5.040246563308095 absolute error = 2.664535259100376e-15 relative error = 5.286517684467299e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006500000000000011 y[1] (analytic) = 5.040346872013598 y[1] (numeric) = 5.0403468720136 absolute error = 2.664535259100376e-15 relative error = 5.286412476679219e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006600000000000011 y[1] (analytic) = 5.040447182735242 y[1] (numeric) = 5.040447182735244 absolute error = 1.77635683940025e-15 relative error = 3.524204847309391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006700000000000011 y[1] (analytic) = 5.040547495473064 y[1] (numeric) = 5.040547495473067 absolute error = 2.664535259100376e-15 relative error = 5.286202067321864e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006800000000000011 y[1] (analytic) = 5.040647810227107 y[1] (numeric) = 5.040647810227109 absolute error = 2.664535259100376e-15 relative error = 5.286096865752509e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0006900000000000012 y[1] (analytic) = 5.040748126997408 y[1] (numeric) = 5.040748126997411 absolute error = 2.664535259100376e-15 relative error = 5.285991666255984e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007000000000000012 y[1] (analytic) = 5.040848445784007 y[1] (numeric) = 5.040848445784011 absolute error = 3.552713678800501e-15 relative error = 7.047848625109665e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007100000000000012 y[1] (analytic) = 5.040948766586947 y[1] (numeric) = 5.040948766586951 absolute error = 3.552713678800501e-15 relative error = 7.047708364641684e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007200000000000012 y[1] (analytic) = 5.041049089406267 y[1] (numeric) = 5.04104908940627 absolute error = 2.664535259100376e-15 relative error = 5.285676080202987e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007300000000000013 y[1] (analytic) = 5.041149414242004 y[1] (numeric) = 5.041149414242009 absolute error = 4.440892098500626e-15 relative error = 8.809284814995642e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007400000000000013 y[1] (analytic) = 5.041249741094203 y[1] (numeric) = 5.041249741094207 absolute error = 3.552713678800501e-15 relative error = 7.047287599819215e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007500000000000013 y[1] (analytic) = 5.041350069962903 y[1] (numeric) = 5.041350069962905 absolute error = 2.664535259100376e-15 relative error = 5.28536051280403e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007600000000000013 y[1] (analytic) = 5.041450400848142 y[1] (numeric) = 5.041450400848143 absolute error = 1.77635683940025e-15 relative error = 3.523503551877467e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007700000000000014 y[1] (analytic) = 5.041550733749959 y[1] (numeric) = 5.041550733749962 absolute error = 3.552713678800501e-15 relative error = 7.046866859867847e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007800000000000014 y[1] (analytic) = 5.041651068668399 y[1] (numeric) = 5.041651068668401 absolute error = 1.77635683940025e-15 relative error = 3.523363309372027e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0007900000000000014 y[1] (analytic) = 5.041751405603499 y[1] (numeric) = 5.0417514056035 absolute error = 8.881784197001252e-16 relative error = 1.761646595095876e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008000000000000014 y[1] (analytic) = 5.041851744555297 y[1] (numeric) = 5.041851744555299 absolute error = 2.664535259100376e-15 relative error = 5.284834608589615e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008100000000000015 y[1] (analytic) = 5.041952085523838 y[1] (numeric) = 5.04195208552384 absolute error = 1.77635683940025e-15 relative error = 3.523152955975968e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008200000000000015 y[1] (analytic) = 5.042052428509161 y[1] (numeric) = 5.042052428509161 absolute error = 8.881784197001252e-16 relative error = 1.761541420470201e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008300000000000015 y[1] (analytic) = 5.042152773511304 y[1] (numeric) = 5.042152773511304 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008400000000000016 y[1] (analytic) = 5.042253120530305 y[1] (numeric) = 5.042253120530307 absolute error = 1.77635683940025e-15 relative error = 3.522942615013795e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008500000000000016 y[1] (analytic) = 5.042353469566211 y[1] (numeric) = 5.042353469566212 absolute error = 8.881784197001252e-16 relative error = 1.76143625206135e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008600000000000016 y[1] (analytic) = 5.042453820619057 y[1] (numeric) = 5.042453820619058 absolute error = 8.881784197001252e-16 relative error = 1.761401197306522e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008700000000000016 y[1] (analytic) = 5.042554173688884 y[1] (numeric) = 5.042554173688885 absolute error = 1.77635683940025e-15 relative error = 3.522732286484798e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008800000000000017 y[1] (analytic) = 5.042654528775734 y[1] (numeric) = 5.042654528775735 absolute error = 8.881784197001252e-16 relative error = 1.761331089868968e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0008900000000000017 y[1] (analytic) = 5.042754885879646 y[1] (numeric) = 5.042754885879646 absolute error = 8.881784197001252e-16 relative error = 1.761296037186217e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009000000000000017 y[1] (analytic) = 5.042855245000657 y[1] (numeric) = 5.04285524500066 absolute error = 2.664535259100376e-15 relative error = 5.283782955582395e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009100000000000017 y[1] (analytic) = 5.042955606138813 y[1] (numeric) = 5.042955606138816 absolute error = 2.664535259100376e-15 relative error = 5.283677801678097e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009200000000000018 y[1] (analytic) = 5.043055969294151 y[1] (numeric) = 5.043055969294153 absolute error = 1.77635683940025e-15 relative error = 3.522381766563811e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009300000000000018 y[1] (analytic) = 5.043156334466712 y[1] (numeric) = 5.043156334466713 absolute error = 8.881784197001252e-16 relative error = 1.761155833361738e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009400000000000018 y[1] (analytic) = 5.043256701656532 y[1] (numeric) = 5.043256701656535 absolute error = 2.664535259100376e-15 relative error = 5.283362352396557e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009500000000000018 y[1] (analytic) = 5.043357070863658 y[1] (numeric) = 5.04335707086366 absolute error = 1.77635683940025e-15 relative error = 3.522171471186464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009600000000000019 y[1] (analytic) = 5.043457442088127 y[1] (numeric) = 5.043457442088128 absolute error = 8.881784197001252e-16 relative error = 1.761050687744865e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009700000000000019 y[1] (analytic) = 5.043557815329976 y[1] (numeric) = 5.043557815329978 absolute error = 2.664535259100376e-15 relative error = 5.283046921761217e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009800000000000019 y[1] (analytic) = 5.043658190589251 y[1] (numeric) = 5.043658190589253 absolute error = 1.77635683940025e-15 relative error = 3.521961188239679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.0009900000000000019 y[1] (analytic) = 5.043758567865988 y[1] (numeric) = 5.04375856786599 absolute error = 1.77635683940025e-15 relative error = 3.521891096686307e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.001000000000000002 y[1] (analytic) = 5.04385894716023 y[1] (numeric) = 5.043858947160231 absolute error = 8.881784197001252e-16 relative error = 1.760910503257002e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ; Iterations = 100 Total Elapsed Time = 12 Seconds Elapsed Time(since restart) = 11 Seconds Expected Time Remaining = 1 Days 8 Hours 59 Minutes 59 Seconds Optimized Time Remaining = 1 Days 6 Hours 14 Minutes 59 Seconds Time to Timeout = 48 Seconds Percent Done = 0.0101 %