##############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 = 0.005 ; 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(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 = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1 y[1] (analytic) = 6.14332310027193 y[1] (numeric) = 6.143323100277304 absolute error = 5.374367617605458e-12 relative error = 8.748306950301157e-11 % Correct digits = 12 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.2000000000000001 y[1] (analytic) = 7.499368329339338 y[1] (numeric) = 7.499368329351276 absolute error = 1.193800613918938e-11 relative error = 1.591868223418901e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.3000000000000002 y[1] (analytic) = 9.156389541531325 y[1] (numeric) = 9.156389541551276 absolute error = 1.995026366330421e-11 relative error = 2.178835180920853e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.4000000000000002 y[1] (analytic) = 11.18088881628925 y[1] (numeric) = 11.18088881631899 absolute error = 2.973443713472079e-11 relative error = 2.659398337939036e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.5000000000000003 y[1] (analytic) = 13.65411641800826 y[1] (numeric) = 13.65411641804993 absolute error = 4.167866052284808e-11 relative error = 3.052461195356338e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.6000000000000004 y[1] (analytic) = 16.67533165443642 y[1] (numeric) = 16.67533165449269 absolute error = 5.627143195852113e-11 relative error = 3.374531501060148e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.7000000000000005 y[1] (analytic) = 20.36578650121782 y[1] (numeric) = 20.36578650129191 absolute error = 7.409184377138445e-11 relative error = 3.638054624944337e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.8000000000000006 y[1] (analytic) = 24.87359186941964 y[1] (numeric) = 24.8735918695155 absolute error = 9.585221505403752e-11 relative error = 3.853573523166196e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 0.9000000000000007 y[1] (analytic) = 30.37966181644602 y[1] (numeric) = 30.37966181656845 absolute error = 1.224300660851441e-10 relative error = 4.030000953429527e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.000000000000001 y[1] (analytic) = 37.10497426239399 y[1] (numeric) = 37.10497426254888 absolute error = 1.548912109683442e-10 relative error = 4.174405562796118e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.104999999999998 y[1] (analytic) = 45.77487996685133 y[1] (numeric) = 45.77487996704825 absolute error = 1.969198137885542e-10 relative error = 4.301918736458884e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.204999999999996 y[1] (analytic) = 55.90901483018895 y[1] (numeric) = 55.90901483043502 absolute error = 2.460680548210803e-10 relative error = 4.401223229714504e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304999999999994 y[1] (analytic) = 68.28697476852786 y[1] (numeric) = 68.28697476883394 absolute error = 3.06087599710736e-10 relative error = 4.482371649180245e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404999999999992 y[1] (analytic) = 83.40553077615874 y[1] (numeric) = 83.40553077653817 absolute error = 3.794298208958935e-10 relative error = 4.549216549130247e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.50499999999999 y[1] (analytic) = 101.8714435905185 y[1] (numeric) = 101.8714435909874 absolute error = 4.689724164563813e-10 relative error = 4.603570931432548e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.604999999999988 y[1] (analytic) = 124.4258151310648 y[1] (numeric) = 124.4258151316431 absolute error = 5.783107326351455e-10 relative error = 4.647835596061621e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.704999999999986 y[1] (analytic) = 151.9738315214897 y[1] (numeric) = 151.9738315222016 absolute error = 7.1193539952219e-10 relative error = 4.684592027420981e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.804999999999984 y[1] (analytic) = 185.621091387187 y[1] (numeric) = 185.6210913880621 absolute error = 8.751044333621394e-10 relative error = 4.714466587941556e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.904999999999981 y[1] (analytic) = 226.7179774101097 y[1] (numeric) = 226.717977411184 absolute error = 1.074340616469271e-09 relative error = 4.73866531777451e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.004999999999979 y[1] (analytic) = 276.9138519273116 y[1] (numeric) = 276.9138519286294 absolute error = 1.317744136031251e-09 relative error = 4.75867901464587e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.104999999999977 y[1] (analytic) = 338.2232516328377 y[1] (numeric) = 338.2232516344526 absolute error = 1.614921529835556e-09 relative error = 4.774720608471511e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.204999999999975 y[1] (analytic) = 413.1067380087739 y[1] (numeric) = 413.1067380107519 absolute error = 1.977980446099536e-09 relative error = 4.788061447832222e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.304999999999973 y[1] (analytic) = 504.5696482971407 y[1] (numeric) = 504.5696482995622 absolute error = 2.421529643470421e-09 relative error = 4.799197993067519e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.404999999999971 y[1] (analytic) = 616.2827102358702 y[1] (numeric) = 616.2827102388333 absolute error = 2.963020051538479e-09 relative error = 4.807890927857509e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.504999999999969 y[1] (analytic) = 752.7293612517285 y[1] (numeric) = 752.7293612553528 absolute error = 3.624336386565119e-09 relative error = 4.814926284445897e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.604999999999967 y[1] (analytic) = 919.3856845466685 y[1] (numeric) = 919.385684551101 absolute error = 4.432536115928087e-09 relative error = 4.82119331465737e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.704999999999965 y[1] (analytic) = 1122.940183544556 y[1] (numeric) = 1122.940183549976 absolute error = 5.419224180513993e-09 relative error = 4.825924176484835e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.804999999999962 y[1] (analytic) = 1371.5622150185 y[1] (numeric) = 1371.562215025125 absolute error = 6.624759407714009e-09 relative error = 4.830083050680026e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.90499999999996 y[1] (analytic) = 1675.229854062711 y[1] (numeric) = 1675.229854070808 absolute error = 8.09723132988438e-09 relative error = 4.833504674147998e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.004999999999958 y[1] (analytic) = 2046.130349281431 y[1] (numeric) = 2046.130349291327 absolute error = 9.895984476315789e-09 relative error = 4.836438929607346e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.104999999999956 y[1] (analytic) = 2499.149239867758 y[1] (numeric) = 2499.149239879851 absolute error = 1.209355104947463e-08 relative error = 4.83906717396139e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.204999999999954 y[1] (analytic) = 3052.467764558131 y[1] (numeric) = 3052.467764572908 absolute error = 1.477656041970477e-08 relative error = 4.840857155405141e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.304999999999952 y[1] (analytic) = 3728.292538581488 y[1] (numeric) = 3728.292538599542 absolute error = 1.805346983019263e-08 relative error = 4.842288968306513e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.40499999999995 y[1] (analytic) = 4553.746783101117 y[1] (numeric) = 4553.746783123171 absolute error = 2.205342752858996e-08 relative error = 4.842919156249506e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.504999999999947 y[1] (analytic) = 5561.958875316023 y[1] (numeric) = 5561.958875342965 absolute error = 2.694196155061945e-08 relative error = 4.843969931203176e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.604999999999945 y[1] (analytic) = 6793.391906559554 y[1] (numeric) = 6793.391906592466 absolute error = 3.291188477305695e-08 relative error = 4.844691021178675e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.704999999999943 y[1] (analytic) = 8297.467608230148 y[1] (numeric) = 8297.467608270352 absolute error = 4.020330379717052e-08 relative error = 4.845249863620244e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.804999999999941 y[1] (analytic) = 10134.54981940383 y[1] (numeric) = 10134.54981945295 absolute error = 4.911271389573812e-08 relative error = 4.846067637035622e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.904999999999939 y[1] (analytic) = 12378.36709964815 y[1] (numeric) = 12378.36709970814 absolute error = 5.999027052894235e-08 relative error = 4.846379982594598e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.004999999999937 y[1] (analytic) = 15118.97171499615 y[1] (numeric) = 15118.97171506942 absolute error = 7.327435014303774e-08 relative error = 4.84651678198185e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.104999999999935 y[1] (analytic) = 18466.35375157721 y[1] (numeric) = 18466.35375166672 absolute error = 8.950519259087741e-08 relative error = 4.846933714958903e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.204999999999933 y[1] (analytic) = 22554.85540397485 y[1] (numeric) = 22554.85540408419 absolute error = 1.093394530471414e-07 relative error = 4.847712436581282e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.30499999999993 y[1] (analytic) = 27548.56259920277 y[1] (numeric) = 27548.56259933632 absolute error = 1.335502020083368e-07 relative error = 4.847810172578718e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.404999999999928 y[1] (analytic) = 33647.89034110066 y[1] (numeric) = 33647.89034126379 absolute error = 1.631269697099924e-07 relative error = 4.848059359927655e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.504999999999926 y[1] (analytic) = 41097.62606814316 y[1] (numeric) = 41097.62606834241 absolute error = 1.992520992644131e-07 relative error = 4.848262985653652e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.604999999999924 y[1] (analytic) = 50196.75383285277 y[1] (numeric) = 50196.75383309613 absolute error = 2.43358954321593e-07 relative error = 4.848101435641432e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.704999999999922 y[1] (analytic) = 61310.45358163182 y[1] (numeric) = 61310.45358192904 absolute error = 2.972228685393929e-07 relative error = 4.847833463565157e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.80499999999992 y[1] (analytic) = 74884.75710824537 y[1] (numeric) = 74884.75710860838 absolute error = 3.630120772868395e-07 relative error = 4.847609731338358e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.904999999999918 y[1] (analytic) = 91464.44887582879 y[1] (numeric) = 91464.44887627217 absolute error = 4.433823050931096e-07 relative error = 4.847591720527841e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.004999999999916 y[1] (analytic) = 111714.9301302615 y[1] (numeric) = 111714.930130803 absolute error = 5.41534973308444e-07 relative error = 4.847471798773942e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.104999999999913 y[1] (analytic) = 136448.9237885462 y[1] (numeric) = 136448.9237892077 absolute error = 6.614718586206436e-07 relative error = 4.847761640434198e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.204999999999911 y[1] (analytic) = 166659.091863132 y[1] (numeric) = 166659.0918639399 absolute error = 8.079223334789276e-07 relative error = 4.84775432559317e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.304999999999909 y[1] (analytic) = 203557.8744739467 y[1] (numeric) = 203557.8744749335 absolute error = 9.868235792964697e-07 relative error = 4.847877203702935e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.404999999999907 y[1] (analytic) = 248626.1493275754 y[1] (numeric) = 248626.1493287807 absolute error = 1.20530603453517e-06 relative error = 4.847865109100525e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.504999999999905 y[1] (analytic) = 303672.6645393403 y[1] (numeric) = 303672.6645408124 absolute error = 1.472071744501591e-06 relative error = 4.847560931223977e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.604999999999903 y[1] (analytic) = 370906.6300461138 y[1] (numeric) = 370906.6300479118 absolute error = 1.798034645617008e-06 relative error = 4.847674589676285e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.704999999999901 y[1] (analytic) = 453026.3809581473 y[1] (numeric) = 453026.3809603436 absolute error = 2.196291461586952e-06 relative error = 4.848043191087045e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.804999999999898 y[1] (analytic) = 553327.6712215431 y[1] (numeric) = 553327.6712242257 absolute error = 2.682558260858059e-06 relative error = 4.848046465733335e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.904999999999896 y[1] (analytic) = 675835.943796288 y[1] (numeric) = 675835.9437995644 absolute error = 3.276392817497253e-06 relative error = 4.847911460721052e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.004999999999894 y[1] (analytic) = 825467.8858165269 y[1] (numeric) = 825467.885820529 absolute error = 4.002009518444538e-06 relative error = 4.848171064203031e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.104999999999892 y[1] (analytic) = 1008228.752508915 y[1] (numeric) = 1008228.752513803 absolute error = 4.888162948191166e-06 relative error = 4.848267752756776e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.20499999999989 y[1] (analytic) = 1231453.379170746 y[1] (numeric) = 1231453.379176717 absolute error = 5.970941856503487e-06 relative error = 4.84869501151906e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.304999999999888 y[1] (analytic) = 1504100.553864784 y[1] (numeric) = 1504100.553872076 absolute error = 7.292255759239197e-06 relative error = 4.848250165523679e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.404999999999886 y[1] (analytic) = 1837112.565040662 y[1] (numeric) = 1837112.565049568 absolute error = 8.906470611691475e-06 relative error = 4.848081049129585e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.504999999999884 y[1] (analytic) = 2243854.353991346 y[1] (numeric) = 2243854.354002224 absolute error = 1.08787789940834e-05 relative error = 4.848255402465111e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.604999999999881 y[1] (analytic) = 2740649.896874712 y[1] (numeric) = 2740649.896888 absolute error = 1.328764483332634e-05 relative error = 4.84835543878802e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.704999999999879 y[1] (analytic) = 3347437.343194135 y[1] (numeric) = 3347437.343210365 absolute error = 1.623015850782394e-05 relative error = 4.848532427596412e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.804999999999877 y[1] (analytic) = 4088569.203745643 y[1] (numeric) = 4088569.203765466 absolute error = 1.982320100069046e-05 relative error = 4.848444532265693e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.904999999999875 y[1] (analytic) = 4993789.70238363 y[1] (numeric) = 4993789.702407842 absolute error = 2.421159297227859e-05 relative error = 4.848340521973111e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.004999999999873 y[1] (analytic) = 6099428.516163188 y[1] (numeric) = 6099428.516192759 absolute error = 2.957135438919067e-05 relative error = 4.848217224093704e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.104999999999871 y[1] (analytic) = 7449858.812842474 y[1] (numeric) = 7449858.812878595 absolute error = 3.612041473388672e-05 relative error = 4.848469701415062e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.204999999999869 y[1] (analytic) = 9099278.101909604 y[1] (numeric) = 9099278.101953721 absolute error = 4.411675035953522e-05 relative error = 4.848379164307192e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.304999999999866 y[1] (analytic) = 11113883.37093878 y[1] (numeric) = 11113883.37099266 absolute error = 5.388073623180389e-05 relative error = 4.848056654318899e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.404999999999864 y[1] (analytic) = 13574527.80313501 y[1] (numeric) = 13574527.80320082 absolute error = 6.581097841262817e-05 relative error = 4.848122849431955e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.504999999999862 y[1] (analytic) = 16579965.69947094 y[1] (numeric) = 16579965.69955132 absolute error = 8.038245141506195e-05 relative error = 4.848167533761964e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.60499999999986 y[1] (analytic) = 20250815.83553472 y[1] (numeric) = 20250815.83563291 absolute error = 9.818375110626221e-05 relative error = 4.848384968963877e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.704999999999858 y[1] (analytic) = 24734402.31651565 y[1] (numeric) = 24734402.31663556 absolute error = 0.000119917094707489 relative error = 4.848190515095568e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.804999999999856 y[1] (analytic) = 30210667.21083537 y[1] (numeric) = 30210667.21098185 absolute error = 0.0001464709639549255 relative error = 4.848319400982716e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.904999999999854 y[1] (analytic) = 36899392.25717317 y[1] (numeric) = 36899392.25735208 absolute error = 0.000178903341293335 relative error = 4.848408885611293e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.004999999999852 y[1] (analytic) = 45069019.47734514 y[1] (numeric) = 45069019.47756366 absolute error = 0.0002185255289077759 relative error = 4.848686113919611e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.104999999999867 y[1] (analytic) = 55047424.69720548 y[1] (numeric) = 55047424.69747059 absolute error = 0.0002651065587997437 relative error = 4.815966600762741e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.204999999999883 y[1] (analytic) = 67235076.35478313 y[1] (numeric) = 67235076.35510515 absolute error = 0.0003220140933990479 relative error = 4.78937648110724e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.304999999999898 y[1] (analytic) = 82121107.70484431 y[1] (numeric) = 82121107.70523578 absolute error = 0.0003914684057235718 relative error = 4.766964507232032e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.404999999999914 y[1] (analytic) = 100302947.4538683 y[1] (numeric) = 100302947.4543447 absolute error = 0.0004763901233673096 relative error = 4.74951270585954e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.50499999999993 y[1] (analytic) = 122510296.6717532 y[1] (numeric) = 122510296.6723333 absolute error = 0.0005801171064376831 relative error = 4.73525182941981e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.604999999999945 y[1] (analytic) = 149634414.2579047 y[1] (numeric) = 149634414.2586115 absolute error = 0.000706791877746582 relative error = 4.723458044406682e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.704999999999961 y[1] (analytic) = 182763886.290292 y[1] (numeric) = 182763886.2911536 absolute error = 0.0008615851402282715 relative error = 4.714197961733958e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.804999999999977 y[1] (analytic) = 223228314.8070413 y[1] (numeric) = 223228314.8080918 absolute error = 0.001050561666488647 relative error = 4.706220478332929e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.899999999999991 y[1] (analytic) = 269938749.8661289 y[1] (numeric) = 269938749.8673975 absolute error = 0.001268625259399414 relative error = 4.699678204883756e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000007 y[1] (analytic) = 329703933.6208084 y[1] (numeric) = 329703933.6223562 absolute error = 0.001547873020172119 relative error = 4.694736284075773e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.100000000000023 y[1] (analytic) = 402701293.9007255 y[1] (numeric) = 402701293.9026142 absolute error = 0.001888692378997803 relative error = 4.690057885593499e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.200000000000038 y[1] (analytic) = 491860471.0850307 y[1] (numeric) = 491860471.0873358 absolute error = 0.002305150032043457 relative error = 4.686593388890063e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.300000000000054 y[1] (analytic) = 600759736.0132357 y[1] (numeric) = 600759736.0160491 absolute error = 0.002813458442687988 relative error = 4.683167452863391e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.40000000000007 y[1] (analytic) = 733769598.5581645 y[1] (numeric) = 733769598.5615993 absolute error = 0.00343477725982666 relative error = 4.681002410805647e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.500000000000085 y[1] (analytic) = 896228211.5330508 y[1] (numeric) = 896228211.5372441 absolute error = 0.004193305969238281 relative error = 4.678837281929997e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.600000000000101 y[1] (analytic) = 1094655609.507458 y[1] (numeric) = 1094655609.512578 absolute error = 0.005120038986206055 relative error = 4.677305758758065e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.700000000000117 y[1] (analytic) = 1337015380.687953 y[1] (numeric) = 1337015380.694205 absolute error = 0.006251811981201172 relative error = 4.675946194414262e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.800000000000132 y[1] (analytic) = 1633034273.674887 y[1] (numeric) = 1633034273.682521 absolute error = 0.00763392448425293 relative error = 4.674687241605764e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.900000000000148 y[1] (analytic) = 1994592566.036659 y[1] (numeric) = 1994592566.045981 absolute error = 0.009322404861450195 relative error = 4.673839169056072e-10 % Correct digits = 11 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 10.00000000000016 y[1] (analytic) = 2436200861.563022 y[1] (numeric) = 2436200861.574407 absolute error = 0.01138496398925781 relative error = 4.673245202759442e-10 % Correct digits = 11 h = 0.005 Finished! diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ; Iterations = 2000 Total Elapsed Time = 41 Seconds Elapsed Time(since restart) = 40 Seconds Time to Timeout = 9 Minutes 19 Seconds Percent Done = 100.1 %