##############ECHO OF PROBLEM################# ##############temp/div_lin_linpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; // 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(0.5 * x + 0.25 * ln(2.0 * x + 3.0)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.3407877024514202 y[1] (numeric) = 0.3407877024514202 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.3407942649465374 y[1] (numeric) = 0.3407942649465374 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.3408008274318891 y[1] (numeric) = 0.3408008274318891 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.7591 Order of pole = 0.6125 x[1] = 0.10003 y[1] (analytic) = 0.3408073899074754 y[1] (numeric) = 0.3408073899074754 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.3408139523732965 y[1] (numeric) = 0.3408139523732965 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.3408205148293524 y[1] (numeric) = 0.3408205148293524 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.3408270772756433 y[1] (numeric) = 0.3408270772756434 absolute error = 5.551115123125783e-17 relative error = 1.628718929111471e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.3408336397121693 y[1] (numeric) = 0.3408336397121694 absolute error = 5.551115123125783e-17 relative error = 1.628687569634748e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.3408402021389306 y[1] (numeric) = 0.3408402021389306 absolute error = 5.551115123125783e-17 relative error = 1.628656211412256e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.343 Order of pole = 0.8524 x[1] = 0.10009 y[1] (analytic) = 0.3408467645559272 y[1] (numeric) = 0.3408467645559272 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.3408533269631593 y[1] (numeric) = 0.3408533269631593 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.3408598893606269 y[1] (numeric) = 0.3408598893606269 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.3408664517483304 y[1] (numeric) = 0.3408664517483304 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.3408730141262696 y[1] (numeric) = 0.3408730141262696 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.3408795764944448 y[1] (numeric) = 0.3408795764944448 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.340886138852856 y[1] (numeric) = 0.3408861388528561 absolute error = 5.551115123125783e-17 relative error = 1.628436738966946e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.3408927012015035 y[1] (numeric) = 0.3408927012015036 absolute error = 5.551115123125783e-17 relative error = 1.628405390775583e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.3408992635403873 y[1] (numeric) = 0.3408992635403874 absolute error = 5.551115123125783e-17 relative error = 1.62837404383777e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.3409058258695076 y[1] (numeric) = 0.3409058258695076 absolute error = 5.551115123125783e-17 relative error = 1.628342698153433e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.3409123881888644 y[1] (numeric) = 0.3409123881888644 absolute error = 5.551115123125783e-17 relative error = 1.628311353722494e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 2.7 Order of pole = 1.924 x[1] = 0.1001999999999999 y[1] (analytic) = 0.3409189504984579 y[1] (numeric) = 0.3409189504984579 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 14.35 Order of pole = 40.72 x[1] = 0.1002099999999999 y[1] (analytic) = 0.3409255127982883 y[1] (numeric) = 0.3409255127982883 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.3409320750883555 y[1] (numeric) = 0.3409320750883555 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.3409386373686599 y[1] (numeric) = 0.3409386373686599 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.183 Order of pole = 0.7734 x[1] = 0.1002399999999999 y[1] (analytic) = 0.3409451996392013 y[1] (numeric) = 0.3409451996392014 absolute error = 5.551115123125783e-17 relative error = 1.628154650366142e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.3409517618999802 y[1] (numeric) = 0.3409517618999802 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.3409583241509965 y[1] (numeric) = 0.3409583241509965 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.3409648863922502 y[1] (numeric) = 0.3409648863922503 absolute error = 5.551115123125783e-17 relative error = 1.628060643388279e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.3409714486237417 y[1] (numeric) = 0.3409714486237417 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.340978010845471 y[1] (numeric) = 0.340978010845471 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.3409845730574381 y[1] (numeric) = 0.3409845730574381 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.3409911352596434 y[1] (numeric) = 0.3409911352596433 absolute error = 5.551115123125783e-17 relative error = 1.627935318288834e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.3409976974520867 y[1] (numeric) = 0.3409976974520867 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.3410042596347684 y[1] (numeric) = 0.3410042596347683 absolute error = 5.551115123125783e-17 relative error = 1.62787266325391e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.3410108218076884 y[1] (numeric) = 0.3410108218076884 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.341017383970847 y[1] (numeric) = 0.341017383970847 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.3410239461242442 y[1] (numeric) = 0.3410239461242442 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.3410305082678802 y[1] (numeric) = 0.3410305082678802 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.341037070401755 y[1] (numeric) = 0.3410370704017551 absolute error = 5.551115123125783e-17 relative error = 1.627716047579916e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.3410436325258689 y[1] (numeric) = 0.3410436325258689 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.864 Order of pole = 1.178 x[1] = 0.1003999999999999 y[1] (analytic) = 0.341050194640222 y[1] (numeric) = 0.341050194640222 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.3410567567448143 y[1] (numeric) = 0.3410567567448142 absolute error = 5.551115123125783e-17 relative error = 1.62762209319877e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.3410633188396459 y[1] (numeric) = 0.3410633188396459 absolute error = 5.551115123125783e-17 relative error = 1.627590777575143e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.341069880924717 y[1] (numeric) = 0.3410698809247171 absolute error = 5.551115123125783e-17 relative error = 1.627559463203102e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.3410764430000278 y[1] (numeric) = 0.3410764430000279 absolute error = 5.551115123125783e-17 relative error = 1.62752815008257e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.3410830050655784 y[1] (numeric) = 0.3410830050655784 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.451 Order of pole = 0.9109 x[1] = 0.1004599999999998 y[1] (analytic) = 0.3410895671213687 y[1] (numeric) = 0.3410895671213688 absolute error = 5.551115123125783e-17 relative error = 1.627465527595732e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.3410961291673991 y[1] (numeric) = 0.3410961291673992 absolute error = 5.551115123125783e-17 relative error = 1.627434218229276e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.3411026912036696 y[1] (numeric) = 0.3411026912036697 absolute error = 5.551115123125783e-17 relative error = 1.627402910114027e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.033 Order of pole = 0.7082 x[1] = 0.1004899999999998 y[1] (analytic) = 0.3411092532301803 y[1] (numeric) = 0.3411092532301804 absolute error = 5.551115123125783e-17 relative error = 1.627371603249911e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.3411158152469314 y[1] (numeric) = 0.3411158152469315 absolute error = 1.110223024625157e-16 relative error = 3.254680595273701e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 3.176 Order of pole = 2.468 x[1] = 0.1005099999999998 y[1] (analytic) = 0.3411223772539229 y[1] (numeric) = 0.341122377253923 absolute error = 1.110223024625157e-16 relative error = 3.254617986549544e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.3411289392511551 y[1] (numeric) = 0.3411289392511552 absolute error = 1.110223024625157e-16 relative error = 3.254555380327198e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.3411355012386279 y[1] (numeric) = 0.341135501238628 absolute error = 1.110223024625157e-16 relative error = 3.254492776606512e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.3411420632163417 y[1] (numeric) = 0.3411420632163417 absolute error = 5.551115123125783e-17 relative error = 1.627215087693668e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.3411486251842963 y[1] (numeric) = 0.3411486251842964 absolute error = 1.110223024625157e-16 relative error = 3.25436757666952e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.341155187142492 y[1] (numeric) = 0.3411551871424922 absolute error = 1.110223024625157e-16 relative error = 3.25430498045291e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.3411617490909291 y[1] (numeric) = 0.3411617490909291 absolute error = 5.551115123125783e-17 relative error = 1.627121193368679e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.3411683110296073 y[1] (numeric) = 0.3411683110296074 absolute error = 1.110223024625157e-16 relative error = 3.254179795522712e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.341174872958527 y[1] (numeric) = 0.3411748729585272 absolute error = 1.665334536937735e-16 relative error = 4.881175810213233e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.3411814348776884 y[1] (numeric) = 0.3411814348776885 absolute error = 1.110223024625157e-16 relative error = 3.254054620595535e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.3411879967870914 y[1] (numeric) = 0.3411879967870915 absolute error = 1.110223024625157e-16 relative error = 3.253992036882703e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.3411945586867362 y[1] (numeric) = 0.3411945586867363 absolute error = 1.110223024625157e-16 relative error = 3.253929455670173e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.341201120576623 y[1] (numeric) = 0.3412011205766231 absolute error = 1.110223024625157e-16 relative error = 3.253866876957796e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.3412076824567518 y[1] (numeric) = 0.3412076824567519 absolute error = 1.110223024625157e-16 relative error = 3.25380430074542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.3412142443271228 y[1] (numeric) = 0.3412142443271229 absolute error = 1.110223024625157e-16 relative error = 3.253741727032894e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.3412208061877361 y[1] (numeric) = 0.3412208061877363 absolute error = 1.665334536937735e-16 relative error = 4.880518733730104e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.3412273680385918 y[1] (numeric) = 0.341227368038592 absolute error = 1.665334536937735e-16 relative error = 4.880424880660189e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.3412339298796901 y[1] (numeric) = 0.3412339298796903 absolute error = 1.665334536937735e-16 relative error = 4.880331031339371e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.3412404917110311 y[1] (numeric) = 0.3412404917110313 absolute error = 1.665334536937735e-16 relative error = 4.880237185767425e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.3412470535326149 y[1] (numeric) = 0.341247053532615 absolute error = 1.665334536937735e-16 relative error = 4.880143343944125e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.3412536153444415 y[1] (numeric) = 0.3412536153444417 absolute error = 1.665334536937735e-16 relative error = 4.880049505869243e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.3412601771465112 y[1] (numeric) = 0.3412601771465114 absolute error = 2.220446049250313e-16 relative error = 6.506607562056742e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.3412667389388241 y[1] (numeric) = 0.3412667389388243 absolute error = 1.665334536937735e-16 relative error = 4.879861840963835e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.3412733007213802 y[1] (numeric) = 0.3412733007213804 absolute error = 1.665334536937735e-16 relative error = 4.879768014132856e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.3412798624941797 y[1] (numeric) = 0.34127986249418 absolute error = 2.220446049250313e-16 relative error = 6.506232254732525e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.3412864242572228 y[1] (numeric) = 0.3412864242572231 absolute error = 2.220446049250313e-16 relative error = 6.506107162284292e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 4.342 Order of pole = 4.179 x[1] = 0.1007699999999997 y[1] (analytic) = 0.3412929860105096 y[1] (numeric) = 0.3412929860105098 absolute error = 2.220446049250313e-16 relative error = 6.505982074832144e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.34129954775404 y[1] (numeric) = 0.3412995477540403 absolute error = 2.220446049250313e-16 relative error = 6.505856992375781e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.3413061094878144 y[1] (numeric) = 0.3413061094878146 absolute error = 2.220446049250313e-16 relative error = 6.505731914914898e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.3413126712118328 y[1] (numeric) = 0.341312671211833 absolute error = 2.220446049250313e-16 relative error = 6.505606842449199e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.3413192329260953 y[1] (numeric) = 0.3413192329260955 absolute error = 2.220446049250313e-16 relative error = 6.505481774978379e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.3413257946306021 y[1] (numeric) = 0.3413257946306023 absolute error = 1.665334536937735e-16 relative error = 4.879017534376602e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.3413323563253532 y[1] (numeric) = 0.3413323563253534 absolute error = 2.220446049250313e-16 relative error = 6.505231655020174e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.439 Order of pole = 0.9039 x[1] = 0.1008399999999997 y[1] (analytic) = 0.3413389180103489 y[1] (numeric) = 0.341338918010349 absolute error = 1.665334536937735e-16 relative error = 4.87882995189914e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.3413454796855891 y[1] (numeric) = 0.3413454796855893 absolute error = 2.220446049250313e-16 relative error = 6.504981555037876e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.3413520413510741 y[1] (numeric) = 0.3413520413510743 absolute error = 2.220446049250313e-16 relative error = 6.50485651253694e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.341358603006804 y[1] (numeric) = 0.3413586030068042 absolute error = 2.220446049250313e-16 relative error = 6.504731475029077e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.3413651646527788 y[1] (numeric) = 0.3413651646527791 absolute error = 2.220446049250313e-16 relative error = 6.504606442513987e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.3413717262889989 y[1] (numeric) = 0.341371726288999 absolute error = 1.665334536937735e-16 relative error = 4.878361061243526e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.341378287915464 y[1] (numeric) = 0.3413782879154642 absolute error = 1.665334536937735e-16 relative error = 4.878267294345691e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.3413848495321746 y[1] (numeric) = 0.3413848495321747 absolute error = 1.665334536937735e-16 relative error = 4.878173531191758e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.3413914111391306 y[1] (numeric) = 0.3413914111391307 absolute error = 1.110223024625157e-16 relative error = 3.252053181187667e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.3413979727363322 y[1] (numeric) = 0.3413979727363324 absolute error = 1.665334536937735e-16 relative error = 4.877986016114696e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.3414045343237796 y[1] (numeric) = 0.3414045343237797 absolute error = 1.110223024625157e-16 relative error = 3.25192817612741e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.3414110959014727 y[1] (numeric) = 0.3414110959014729 absolute error = 1.665334536937735e-16 relative error = 4.877798516010537e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.3414176574694119 y[1] (numeric) = 0.3414176574694121 absolute error = 1.665334536937735e-16 relative error = 4.877704771572732e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 0.5941 Order of pole = 0.5689 x[1] = 0.1009699999999996 y[1] (analytic) = 0.3414242190275971 y[1] (numeric) = 0.3414242190275973 absolute error = 1.665334536937735e-16 relative error = 4.877611030877475e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.3414307805760285 y[1] (numeric) = 0.3414307805760287 absolute error = 1.665334536937735e-16 relative error = 4.877517293924542e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.3414373421147063 y[1] (numeric) = 0.3414373421147064 absolute error = 1.665334536937735e-16 relative error = 4.877423560713707e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.3414439036436305 y[1] (numeric) = 0.3414439036436306 absolute error = 1.665334536937735e-16 relative error = 4.877329831244744e-14 % Correct digits = 15 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); Iterations = 100 Total Elapsed Time = 11 Seconds Elapsed Time(since restart) = 10 Seconds Expected Time Remaining = 14 Hours 49 Minutes 15 Seconds Optimized Time Remaining = 13 Hours 28 Minutes 24 Seconds Time to Timeout = 49 Seconds Percent Done = 0.02061 %