##############ECHO OF PROBLEM################# ##############temp/expt_c_sin_newpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; ! // BEGIN FIRST INPUT BLOCK // # Comment 1 Digits=32; max_terms=30; // # Comment 2 ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK // # Comment 3 x_start=1.4; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; // # Comment 4 glob_max_h=0.0001; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=1000000000; glob_max_minutes=30.0; glob_subiter_method=3; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK // # Comment 5 double exact_soln_y (double x) { // # Comment 6 return(expt(2.0,sin(x))); // # Comment 7 } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = -1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = -0.3999999999999999 estimated_steps = 399999.9999999999 step_error = 2.500000000000001e-16 est_needed_step_err = 2.500000000000001e-16 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.305604892242639e-167 estimated_step_error = 1.305604892242639e-167 best_h = -0.0001 START of Soultion TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 1.979930418515512 y[1] (numeric) = 1.979930418515512 absolute error = 0 relative error = 0 % Correct digits = 16 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.134 Order of pole (six term test) = 9.69 TOP MAIN SOLVE Loop x[1] = 1.389900000000001 y[1] (analytic) = 1.977507037037649 y[1] (numeric) = 1.977507022343582 absolute error = 1.469406663012762e-08 relative error = 7.430601436513558e-07 % Correct digits = 9 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.136 Order of pole (six term test) = 9.702 TOP MAIN SOLVE Loop x[1] = 1.379900000000002 y[1] (analytic) = 1.974975232951737 y[1] (numeric) = 1.974975202039042 absolute error = 3.091269462629498e-08 relative error = 1.565219356198904e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.138 Order of pole (six term test) = 9.714 TOP MAIN SOLVE Loop x[1] = 1.369900000000003 y[1] (analytic) = 1.972312440009531 y[1] (numeric) = 1.97231239113323 absolute error = 4.8876301006473e-08 relative error = 2.478121620844049e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.139 Order of pole (six term test) = 9.725 TOP MAIN SOLVE Loop x[1] = 1.359900000000004 y[1] (analytic) = 1.969519462715765 y[1] (numeric) = 1.969519394049318 absolute error = 6.866644697289814e-08 relative error = 3.486456888230704e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.141 Order of pole (six term test) = 9.735 TOP MAIN SOLVE Loop x[1] = 1.349900000000005 y[1] (analytic) = 1.966597143224068 y[1] (numeric) = 1.966597052860836 absolute error = 9.036323178612804e-08 relative error = 4.594903033266145e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.142 Order of pole (six term test) = 9.745 TOP MAIN SOLVE Loop x[1] = 1.339900000000007 y[1] (analytic) = 1.963546360841401 y[1] (numeric) = 1.963546246796171 absolute error = 1.140452305925521e-07 relative error = 5.808125179365893e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.144 Order of pole (six term test) = 9.754 TOP MAIN SOLVE Loop x[1] = 1.329900000000008 y[1] (analytic) = 1.960368031511996 y[1] (numeric) = 1.96036789172256 absolute error = 1.397894362487051e-07 relative error = 7.13077514026221e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.145 Order of pole (six term test) = 9.762 TOP MAIN SOLVE Loop x[1] = 1.319900000000009 y[1] (analytic) = 1.957063107281273 y[1] (numeric) = 1.95706293961007 absolute error = 1.676712035880712e-07 relative error = 8.56749089818559e-06 % Correct digits = 8 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.147 Order of pole (six term test) = 9.768 TOP MAIN SOLVE Loop x[1] = 1.30990000000001 y[1] (analytic) = 1.953632575740252 y[1] (numeric) = 1.953632377976061 absolute error = 1.97764191023353e-07 relative error = 1.012289585458095e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.148 Order of pole (six term test) = 9.774 TOP MAIN SOLVE Loop x[1] = 1.299900000000011 y[1] (analytic) = 1.950077459450965 y[1] (numeric) = 1.95007722931066 absolute error = 2.301403043691863e-07 relative error = 1.180159809826125e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.149 Order of pole (six term test) = 9.778 TOP MAIN SOLVE Loop x[1] = 1.289900000000012 y[1] (analytic) = 1.946398815353409 y[1] (numeric) = 1.946398550483758 absolute error = 2.648696511009518e-07 relative error = 1.360819011045582e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.15 Order of pole (six term test) = 9.78 TOP MAIN SOLVE Loop x[1] = 1.279900000000013 y[1] (analytic) = 1.942597734154588 y[1] (numeric) = 1.942597432134107 absolute error = 3.020204808468208e-07 relative error = 1.554724766413151e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.151 Order of pole (six term test) = 9.781 TOP MAIN SOLVE Loop x[1] = 1.269900000000014 y[1] (analytic) = 1.9386753397002 y[1] (numeric) = 1.938674998041056 absolute error = 3.416591438654137e-07 relative error = 1.762332954202886e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.151 Order of pole (six term test) = 9.781 TOP MAIN SOLVE Loop x[1] = 1.259900000000015 y[1] (analytic) = 1.934632788329559 y[1] (numeric) = 1.934632404479518 absolute error = 3.838500413078094e-07 relative error = 1.984097672815941e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.152 Order of pole (six term test) = 9.779 TOP MAIN SOLVE Loop x[1] = 1.249900000000016 y[1] (analytic) = 1.930471268214333 y[1] (numeric) = 1.930470839558751 absolute error = 4.286555819188465e-07 relative error = 2.220471182227688e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.152 Order of pole (six term test) = 9.775 TOP MAIN SOLVE Loop x[1] = 1.239900000000018 y[1] (analytic) = 1.926191998681697 y[1] (numeric) = 1.926191522545555 absolute error = 4.761361411809162e-07 relative error = 2.471903847107599e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.152 Order of pole (six term test) = 9.769 TOP MAIN SOLVE Loop x[1] = 1.229900000000019 y[1] (analytic) = 1.921796229522525 y[1] (numeric) = 1.921795703172511 absolute error = 5.263500137964172e-07 relative error = 2.738844034089869e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.152 Order of pole (six term test) = 9.762 TOP MAIN SOLVE Loop x[1] = 1.21990000000002 y[1] (analytic) = 1.917285240285239 y[1] (numeric) = 1.917284660931855 absolute error = 5.793533841558229e-07 relative error = 3.021738090831134e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.152 Order of pole (six term test) = 9.753 TOP MAIN SOLVE Loop x[1] = 1.209900000000021 y[1] (analytic) = 1.912660339555944 y[1] (numeric) = 1.912659704355659 absolute error = 6.35200285037385e-07 relative error = 3.321030252474714e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.152 Order of pole (six term test) = 9.742 TOP MAIN SOLVE Loop x[1] = 1.199900000000022 y[1] (analytic) = 1.907922864225502 y[1] (numeric) = 1.907922170282937 absolute error = 6.939425649665765e-07 relative error = 3.637162581246565e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.151 Order of pole (six term test) = 9.73 TOP MAIN SOLVE Loop x[1] = 1.189900000000023 y[1] (analytic) = 1.903074178744183 y[1] (numeric) = 1.903073423114324 absolute error = 7.556298591282484e-07 relative error = 3.970574912780752e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.15 Order of pole (six term test) = 9.716 TOP MAIN SOLVE Loop x[1] = 1.179900000000024 y[1] (analytic) = 1.898115674364571 y[1] (numeric) = 1.898114854055019 absolute error = 8.203095516190473e-07 relative error = 4.321704744857877e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.149 Order of pole (six term test) = 9.701 TOP MAIN SOLVE Loop x[1] = 1.169900000000025 y[1] (analytic) = 1.893048768373361 y[1] (numeric) = 1.893047880346604 absolute error = 8.880267574618017e-07 relative error = 4.690987217539334e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.148 Order of pole (six term test) = 9.684 TOP MAIN SOLVE Loop x[1] = 1.159900000000026 y[1] (analytic) = 1.887874903312751 y[1] (numeric) = 1.887873944488458 absolute error = 9.588242930735902e-07 relative error = 5.078855020484102e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.147 Order of pole (six term test) = 9.665 TOP MAIN SOLVE Loop x[1] = 1.149900000000027 y[1] (analytic) = 1.882595546192068 y[1] (numeric) = 1.882594513449412 absolute error = 1.032742655615593e-06 relative error = 5.485738334527162e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.146 Order of pole (six term test) = 9.645 TOP MAIN SOLVE Loop x[1] = 1.139900000000029 y[1] (analytic) = 1.877212187690346 y[1] (numeric) = 1.877211077870347 absolute error = 1.10981999834614e-06 relative error = 5.91206473953071e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.145 Order of pole (six term test) = 9.624 TOP MAIN SOLVE Loop x[1] = 1.12990000000003 y[1] (analytic) = 1.871726341350502 y[1] (numeric) = 1.871725151258388 absolute error = 1.190092114633501e-06 relative error = 6.35825915542128e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.143 Order of pole (six term test) = 9.602 TOP MAIN SOLVE Loop x[1] = 1.119900000000031 y[1] (analytic) = 1.866139542765825 y[1] (numeric) = 1.8661382691734 absolute error = 1.273592425299341e-06 relative error = 6.824743788515066e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.141 Order of pole (six term test) = 9.579 TOP MAIN SOLVE Loop x[1] = 1.109900000000032 y[1] (analytic) = 1.860453348759443 y[1] (numeric) = 1.860451988407483 absolute error = 1.360351960189021e-06 relative error = 7.311938034329691e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.14 Order of pole (six term test) = 9.555 TOP MAIN SOLVE Loop x[1] = 1.099900000000033 y[1] (analytic) = 1.854669336557465 y[1] (numeric) = 1.854667886158115 absolute error = 1.450399349955944e-06 relative error = 7.820258422172953e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.138 Order of pole (six term test) = 9.53 TOP MAIN SOLVE Loop x[1] = 1.089900000000034 y[1] (analytic) = 1.848789102956494 y[1] (numeric) = 1.84878755919568 absolute error = 1.543760813849104e-06 relative error = 8.350118525581942e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.136 Order of pole (six term test) = 9.505 TOP MAIN SOLVE Loop x[1] = 1.079900000000035 y[1] (analytic) = 1.842814263486175 y[1] (numeric) = 1.842812623026019 absolute error = 1.640460155938328e-06 relative error = 8.901928905384963e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.134 Order of pole (six term test) = 9.479 TOP MAIN SOLVE Loop x[1] = 1.069900000000036 y[1] (analytic) = 1.836746451567484 y[1] (numeric) = 1.836744711048726 absolute error = 1.740518758008847e-06 relative error = 9.476097022120193e-05 % Correct digits = 7 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.132 Order of pole (six term test) = 9.452 TOP MAIN SOLVE Loop x[1] = 1.059900000000037 y[1] (analytic) = 1.830587317667437 y[1] (numeric) = 1.830585473711859 absolute error = 1.843955577784939e-06 relative error = 0.0001007302716449787 % Correct digits = 6 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.131 Order of pole (six term test) = 9.426 TOP MAIN SOLVE Loop x[1] = 1.049900000000038 y[1] (analytic) = 1.824338528450885 y[1] (numeric) = 1.824336577663735 absolute error = 1.950787150262201e-06 relative error = 0.0001069312038220608 % Correct digits = 6 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.129 Order of pole (six term test) = 9.4 TOP MAIN SOLVE Loop x[1] = 1.03990000000004 y[1] (analytic) = 1.818001765930091 y[1] (numeric) = 1.817999704902501 absolute error = 2.061027589705944e-06 relative error = 0.0001133677440985059 % Correct digits = 6 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.127 Order of pole (six term test) = 9.373 TOP MAIN SOLVE Loop x[1] = 1.029900000000041 y[1] (analytic) = 1.811578726612742 y[1] (numeric) = 1.811576551924154 absolute error = 2.174688588540974e-06 relative error = 0.0001200438356111174 % Correct digits = 6 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.125 Order of pole (six term test) = 9.347 TOP MAIN SOLVE Loop x[1] = 1.019900000000042 y[1] (analytic) = 1.80507112064908 y[1] (numeric) = 1.805068828869648 absolute error = 2.291779432006535e-06 relative error = 0.0001269633869707273 % Correct digits = 6 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.124 Order of pole (six term test) = 9.322 TOP MAIN SOLVE Loop x[1] = 1.009900000000043 y[1] (analytic) = 1.798480670978793 y[1] (numeric) = 1.798478258671789 absolute error = 2.41230700392947e-06 relative error = 0.0001341302713371177 % Correct digits = 6 h = -0.0001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 4.122 Order of pole (six term test) = 9.297 Finished! diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) * cos ( x ) * ln ( 2.0 ) ; Iterations = 4001 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 30 Minutes 0.0 Seconds Percent Done = 0 %