##############ECHO OF PROBLEM################# ##############temp/multpostode.ode################# diff ( y , x , 1 ) = x * x ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // 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 = 20; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.005 ; glob_display_interval = 0.1; glob_look_poles = true; glob_max_iter = 10000; glob_max_minutes = 10; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(1.0 + x * x * x / 3.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 1.000333333333333 y[1] (numeric) = 1.000333333333333 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.2000000000000001 y[1] (analytic) = 1.002666666666667 y[1] (numeric) = 1.002666666666666 absolute error = 2.220446049250313e-16 relative error = 2.214540607629967e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.3000000000000002 y[1] (analytic) = 1.009 y[1] (numeric) = 1.009 absolute error = 4.440892098500626e-16 relative error = 4.401280573340561e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.4000000000000002 y[1] (analytic) = 1.021333333333333 y[1] (numeric) = 1.021333333333333 absolute error = 6.661338147750939e-16 relative error = 6.522197925343608e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.5000000000000003 y[1] (analytic) = 1.041666666666667 y[1] (numeric) = 1.041666666666666 absolute error = 4.440892098500626e-16 relative error = 4.263256414560601e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.6000000000000004 y[1] (analytic) = 1.072 y[1] (numeric) = 1.072 absolute error = 2.220446049250313e-16 relative error = 2.071311613106635e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.7000000000000005 y[1] (analytic) = 1.114333333333334 y[1] (numeric) = 1.114333333333333 absolute error = 2.220446049250313e-16 relative error = 1.992622838094806e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.8000000000000006 y[1] (analytic) = 1.170666666666667 y[1] (numeric) = 1.170666666666667 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.9000000000000007 y[1] (analytic) = 1.243000000000001 y[1] (numeric) = 1.243 absolute error = 6.661338147750939e-16 relative error = 5.359081373894559e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.000000000000001 y[1] (analytic) = 1.333333333333334 y[1] (numeric) = 1.333333333333334 absolute error = 2.220446049250313e-16 relative error = 1.665334536937734e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.104999999999998 y[1] (analytic) = 1.449744208333331 y[1] (numeric) = 1.449744208333334 absolute error = 2.442490654175344e-15 relative error = 1.684773520829101e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.204999999999996 y[1] (analytic) = 1.583230041666661 y[1] (numeric) = 1.583230041666667 absolute error = 5.551115123125783e-15 relative error = 3.506196179351259e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304999999999994 y[1] (analytic) = 1.74081587499999 y[1] (numeric) = 1.740815874999999 absolute error = 9.103828801926284e-15 relative error = 5.229633376319213e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404999999999992 y[1] (analytic) = 1.924501708333318 y[1] (numeric) = 1.924501708333331 absolute error = 1.310063169057685e-14 relative error = 6.807285041031441e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.50499999999999 y[1] (analytic) = 2.136287541666644 y[1] (numeric) = 2.136287541666661 absolute error = 1.731947918415244e-14 relative error = 8.107279027916109e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.604999999999988 y[1] (analytic) = 2.378173374999968 y[1] (numeric) = 2.378173374999991 absolute error = 2.309263891220326e-14 relative error = 9.71024196762087e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.704999999999986 y[1] (analytic) = 2.652159208333292 y[1] (numeric) = 2.652159208333321 absolute error = 2.886579864025407e-14 relative error = 1.088388606142326e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.804999999999984 y[1] (analytic) = 2.960245041666613 y[1] (numeric) = 2.960245041666649 absolute error = 3.597122599785507e-14 relative error = 1.215143526685998e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.904999999999981 y[1] (analytic) = 3.304430874999932 y[1] (numeric) = 3.304430874999975 absolute error = 4.218847493575595e-14 relative error = 1.276724390119276e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.004999999999979 y[1] (analytic) = 3.686716708333251 y[1] (numeric) = 3.686716708333301 absolute error = 5.018208071305708e-14 relative error = 1.361159120244533e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.104999999999977 y[1] (analytic) = 4.109102541666566 y[1] (numeric) = 4.109102541666625 absolute error = 5.950795411990839e-14 relative error = 1.448198323514536e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.204999999999975 y[1] (analytic) = 4.573588374999879 y[1] (numeric) = 4.573588374999948 absolute error = 6.927791673660977e-14 relative error = 1.514738779626437e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.304999999999973 y[1] (analytic) = 5.08217420833319 y[1] (numeric) = 5.082174208333269 absolute error = 7.904787935331115e-14 relative error = 1.555394917862066e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.404999999999971 y[1] (analytic) = 5.636860041666498 y[1] (numeric) = 5.636860041666586 absolute error = 8.79296635503124e-14 relative error = 1.559905034014586e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.504999999999969 y[1] (analytic) = 6.239645874999804 y[1] (numeric) = 6.239645874999906 absolute error = 1.012523398458143e-13 relative error = 1.62272574236142e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.604999999999967 y[1] (analytic) = 6.892531708333107 y[1] (numeric) = 6.892531708333222 absolute error = 1.154631945610163e-13 relative error = 1.675192794853895e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.704999999999965 y[1] (analytic) = 7.597517541666408 y[1] (numeric) = 7.597517541666536 absolute error = 1.287858708565182e-13 relative error = 1.695104620031858e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.804999999999962 y[1] (analytic) = 8.356603374999704 y[1] (numeric) = 8.35660337499985 absolute error = 1.456612608308205e-13 relative error = 1.743067778789079e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.90499999999996 y[1] (analytic) = 9.171789208332997 y[1] (numeric) = 9.171789208333161 absolute error = 1.63424829224823e-13 relative error = 1.781820596970807e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.004999999999958 y[1] (analytic) = 10.04507504166629 y[1] (numeric) = 10.04507504166647 absolute error = 1.794120407794253e-13 relative error = 1.786069691219193e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.104999999999956 y[1] (analytic) = 10.97846087499958 y[1] (numeric) = 10.97846087499977 absolute error = 1.989519660128281e-13 relative error = 1.812202714734689e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.204999999999954 y[1] (analytic) = 11.97394670833286 y[1] (numeric) = 11.97394670833308 absolute error = 2.238209617644316e-13 relative error = 1.869232987388118e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.304999999999952 y[1] (analytic) = 13.03353254166614 y[1] (numeric) = 13.03353254166638 absolute error = 2.433608869978343e-13 relative error = 1.867190542700899e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.40499999999995 y[1] (analytic) = 14.15921837499942 y[1] (numeric) = 14.15921837499968 absolute error = 2.682298827494378e-13 relative error = 1.894383402003636e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.504999999999947 y[1] (analytic) = 15.35300420833269 y[1] (numeric) = 15.35300420833298 absolute error = 2.948752353404416e-13 relative error = 1.920635410106909e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.604999999999945 y[1] (analytic) = 16.61689004166596 y[1] (numeric) = 16.61689004166628 absolute error = 3.197442310920451e-13 relative error = 1.924212233999886e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.704999999999943 y[1] (analytic) = 17.95287587499922 y[1] (numeric) = 17.95287587499957 absolute error = 3.481659405224491e-13 relative error = 1.939332410843977e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.804999999999941 y[1] (analytic) = 19.36296170833248 y[1] (numeric) = 19.36296170833286 absolute error = 3.765876499528531e-13 relative error = 1.944886612004174e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.904999999999939 y[1] (analytic) = 20.84914754166574 y[1] (numeric) = 20.84914754166613 absolute error = 3.979039320256561e-13 relative error = 1.908490173185592e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.004999999999937 y[1] (analytic) = 22.41343337499899 y[1] (numeric) = 22.41343337499942 absolute error = 4.369837824924616e-13 relative error = 1.949651243436421e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.104999999999935 y[1] (analytic) = 24.05781920833223 y[1] (numeric) = 24.0578192083327 absolute error = 4.689582056016661e-13 relative error = 1.949296407711162e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.204999999999933 y[1] (analytic) = 25.78430504166547 y[1] (numeric) = 25.78430504166599 absolute error = 5.151434834260726e-13 relative error = 1.997895551552156e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.30499999999993 y[1] (analytic) = 27.59489087499871 y[1] (numeric) = 27.59489087499927 absolute error = 5.542233338928781e-13 relative error = 2.008427344045092e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.404999999999928 y[1] (analytic) = 29.49157670833194 y[1] (numeric) = 29.49157670833253 absolute error = 5.897504706808832e-13 relative error = 1.999725130037782e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.504999999999926 y[1] (analytic) = 31.47636254166517 y[1] (numeric) = 31.47636254166579 absolute error = 6.252776074688882e-13 relative error = 1.986498937547851e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.604999999999924 y[1] (analytic) = 33.55124837499839 y[1] (numeric) = 33.55124837499906 absolute error = 6.750155989720952e-13 relative error = 2.011894137075094e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.704999999999922 y[1] (analytic) = 35.7182342083316 y[1] (numeric) = 35.71823420833234 absolute error = 7.389644451905042e-13 relative error = 2.068871716559085e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.80499999999992 y[1] (analytic) = 37.97932004166481 y[1] (numeric) = 37.97932004166559 absolute error = 7.744915819785092e-13 relative error = 2.039245518689806e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.904999999999918 y[1] (analytic) = 40.33650587499802 y[1] (numeric) = 40.33650587499883 absolute error = 8.171241461241152e-13 relative error = 2.02576829201906e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.004999999999916 y[1] (analytic) = 42.79179170833122 y[1] (numeric) = 42.7917917083321 absolute error = 8.810729923425242e-13 relative error = 2.058976633528029e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.104999999999913 y[1] (analytic) = 45.34717754166441 y[1] (numeric) = 45.34717754166535 absolute error = 9.450218385609332e-13 relative error = 2.083970579409621e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.204999999999911 y[1] (analytic) = 48.0046633749976 y[1] (numeric) = 48.0046633749986 absolute error = 1.001865257421741e-12 relative error = 2.087016525031078e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.304999999999909 y[1] (analytic) = 50.76624920833078 y[1] (numeric) = 50.76624920833183 absolute error = 1.051603248924948e-12 relative error = 2.071461384924178e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.404999999999907 y[1] (analytic) = 53.63393504166395 y[1] (numeric) = 53.63393504166506 absolute error = 1.115552095143357e-12 relative error = 2.079937066479969e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.504999999999905 y[1] (analytic) = 56.60972087499712 y[1] (numeric) = 56.60972087499829 absolute error = 1.172395514004165e-12 relative error = 2.071014475752306e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.604999999999903 y[1] (analytic) = 59.69560670833027 y[1] (numeric) = 59.69560670833151 absolute error = 1.236344360222574e-12 relative error = 2.071080986350119e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.704999999999901 y[1] (analytic) = 62.89359254166343 y[1] (numeric) = 62.89359254166472 absolute error = 1.293187779083382e-12 relative error = 2.056151869885186e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.804999999999898 y[1] (analytic) = 66.20567837499658 y[1] (numeric) = 66.20567837499793 absolute error = 1.35003119794419e-12 relative error = 2.039147141273077e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.904999999999896 y[1] (analytic) = 69.63386420832971 y[1] (numeric) = 69.63386420833113 absolute error = 1.4210854715202e-12 relative error = 2.040796511405162e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.004999999999894 y[1] (analytic) = 73.18015004166286 y[1] (numeric) = 73.18015004166438 absolute error = 1.520561454526614e-12 relative error = 2.077833201573008e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.104999999999892 y[1] (analytic) = 76.84653587499598 y[1] (numeric) = 76.8465358749976 absolute error = 1.620037437533028e-12 relative error = 2.108146345293035e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.20499999999989 y[1] (analytic) = 80.63502170832909 y[1] (numeric) = 80.6350217083308 absolute error = 1.70530256582424e-12 relative error = 2.114841082318569e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.304999999999888 y[1] (analytic) = 84.5476075416622 y[1] (numeric) = 84.54760754166398 absolute error = 1.77635683940025e-12 relative error = 2.101013725935322e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.404999999999886 y[1] (analytic) = 88.58629337499531 y[1] (numeric) = 88.58629337499717 absolute error = 1.861621967691462e-12 relative error = 2.101478566002323e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.504999999999884 y[1] (analytic) = 92.7530792083284 y[1] (numeric) = 92.75307920833033 absolute error = 1.932676241267473e-12 relative error = 2.08367879294506e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.604999999999881 y[1] (analytic) = 97.04996504166149 y[1] (numeric) = 97.0499650416635 absolute error = 2.003730514843483e-12 relative error = 2.064638059357696e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.704999999999879 y[1] (analytic) = 101.4789508749946 y[1] (numeric) = 101.4789508749967 absolute error = 2.117417352565099e-12 relative error = 2.086558182074044e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.804999999999877 y[1] (analytic) = 106.0420367083276 y[1] (numeric) = 106.0420367083299 absolute error = 2.216893335571513e-12 relative error = 2.090579740248818e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.904999999999875 y[1] (analytic) = 110.7412225416607 y[1] (numeric) = 110.741222541663 absolute error = 2.316369318577927e-12 relative error = 2.091695635477125e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.004999999999873 y[1] (analytic) = 115.5785083749938 y[1] (numeric) = 115.5785083749962 absolute error = 2.444267011014745e-12 relative error = 2.114811001959236e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.104999999999871 y[1] (analytic) = 120.5558942083268 y[1] (numeric) = 120.5558942083293 absolute error = 2.543742994021159e-12 relative error = 2.11001130282808e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.204999999999869 y[1] (analytic) = 125.6753800416598 y[1] (numeric) = 125.6753800416625 absolute error = 2.629008122312371e-12 relative error = 2.091903856937522e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.304999999999866 y[1] (analytic) = 130.9389658749929 y[1] (numeric) = 130.9389658749956 absolute error = 2.728484105318785e-12 relative error = 2.083783148191091e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.404999999999864 y[1] (analytic) = 136.3486517083259 y[1] (numeric) = 136.3486517083287 absolute error = 2.842170943040401e-12 relative error = 2.084487750652872e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.504999999999862 y[1] (analytic) = 141.9064375416589 y[1] (numeric) = 141.9064375416619 absolute error = 2.955857780762017e-12 relative error = 2.082962430717266e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.60499999999986 y[1] (analytic) = 147.6143233749919 y[1] (numeric) = 147.614323374995 absolute error = 3.069544618483633e-12 relative error = 2.07943548315831e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.704999999999858 y[1] (analytic) = 153.4743092083249 y[1] (numeric) = 153.4743092083281 absolute error = 3.154809746774845e-12 relative error = 2.055594687507294e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.804999999999856 y[1] (analytic) = 159.4883950416579 y[1] (numeric) = 159.4883950416612 absolute error = 3.268496584496461e-12 relative error = 2.049363267868323e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.904999999999854 y[1] (analytic) = 165.6585808749909 y[1] (numeric) = 165.6585808749943 absolute error = 3.410605131648481e-12 relative error = 2.058815857068212e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.004999999999852 y[1] (analytic) = 171.9868667083238 y[1] (numeric) = 171.9868667083274 absolute error = 3.552713678800501e-12 relative error = 2.065688937066121e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.104999999999867 y[1] (analytic) = 178.4752525416579 y[1] (numeric) = 178.4752525416605 absolute error = 2.529532139305957e-12 relative error = 1.417301336338235e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.204999999999883 y[1] (analytic) = 185.1257383749921 y[1] (numeric) = 185.1257383749936 absolute error = 1.449507180950604e-12 relative error = 7.829852259735335e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.304999999999898 y[1] (analytic) = 191.9403242083263 y[1] (numeric) = 191.9403242083268 absolute error = 4.263256414560601e-13 relative error = 2.221136403798813e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.404999999999914 y[1] (analytic) = 198.9210100416606 y[1] (numeric) = 198.92101004166 absolute error = 5.968558980384842e-13 relative error = 3.0004668582443e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.50499999999993 y[1] (analytic) = 206.0697958749949 y[1] (numeric) = 206.0697958749932 absolute error = 1.676880856393836e-12 relative error = 8.137441245446072e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.604999999999945 y[1] (analytic) = 213.3886817083293 y[1] (numeric) = 213.3886817083266 absolute error = 2.700062395888381e-12 relative error = 1.265325964935181e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.704999999999961 y[1] (analytic) = 220.8796675416637 y[1] (numeric) = 220.8796675416599 absolute error = 3.808509063674137e-12 relative error = 1.724246104705745e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.804999999999977 y[1] (analytic) = 228.5447533749982 y[1] (numeric) = 228.5447533749933 absolute error = 4.888534022029489e-12 relative error = 2.138983262507164e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.899999999999991 y[1] (analytic) = 235.989666666666 y[1] (numeric) = 235.98966666666 absolute error = 6.02540239924565e-12 relative error = 2.553248404624638e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000007 y[1] (analytic) = 244.0000000000006 y[1] (numeric) = 243.9999999999933 absolute error = 7.247535904753022e-12 relative error = 2.970301600308609e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.100000000000023 y[1] (analytic) = 252.1903333333352 y[1] (numeric) = 252.1903333333266 absolute error = 8.58335624798201e-12 relative error = 3.403523098816349e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.200000000000038 y[1] (analytic) = 260.5626666666699 y[1] (numeric) = 260.5626666666601 absolute error = 9.833911462919787e-12 relative error = 3.774106086924577e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.300000000000054 y[1] (analytic) = 269.1190000000047 y[1] (numeric) = 269.1189999999935 absolute error = 1.119815351557918e-11 relative error = 4.161041589623544e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.40000000000007 y[1] (analytic) = 277.8613333333395 y[1] (numeric) = 277.8613333333271 absolute error = 1.233502189279534e-11 relative error = 4.439272548223718e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.500000000000085 y[1] (analytic) = 286.7916666666744 y[1] (numeric) = 286.7916666666606 absolute error = 1.375610736431554e-11 relative error = 4.796550584680577e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.600000000000101 y[1] (analytic) = 295.9120000000093 y[1] (numeric) = 295.911999999994 absolute error = 1.529087967355736e-11 relative error = 5.167373973869555e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.700000000000117 y[1] (analytic) = 305.2243333333443 y[1] (numeric) = 305.2243333333276 absolute error = 1.671196514507756e-11 relative error = 5.475305642432492e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.800000000000132 y[1] (analytic) = 314.7306666666794 y[1] (numeric) = 314.7306666666612 absolute error = 1.818989403545856e-11 relative error = 5.77951117001346e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.900000000000148 y[1] (analytic) = 324.4330000000145 y[1] (numeric) = 324.4329999999948 absolute error = 1.966782292583957e-11 relative error = 6.062214055240587e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 10.00000000000016 y[1] (analytic) = 334.3333333333497 y[1] (numeric) = 334.3333333333285 absolute error = 2.120259523508139e-11 relative error = 6.341753310592329e-12 % Correct digits = 13 h = 0.005 Finished! diff ( y , x , 1 ) = x * x ; Iterations = 1980 Total Elapsed Time = 1 Minutes 21 Seconds Elapsed Time(since restart) = 1 Minutes 20 Seconds Time to Timeout = 8 Minutes 39 Seconds Percent Done = 100.1 %