##############ECHO OF PROBLEM################# ##############temp/add_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 + sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-0.5) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.001) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0) - c(cos(c(x))) + c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.5 y[1] (closed_form) 0.6224174381096272 y[1] (numeric) 0.6224174381096272 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42073549240394836 Order of pole (three term test) 32.22984884706593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49 y[1] (closed_form) 0.6276671413898784 y[1] (numeric) 0.6276671413898784 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4152486852459852 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48 y[1] (closed_form) 0.6330050772207159 y[1] (numeric) 0.6330050772207159 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4095957841504993 Order of pole (three term test) 32.21324000696377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47 y[1] (closed_form) 0.6384317118046712 y[1] (numeric) 0.6384317118046711 absolute error 1.1102230246251565e-16 relative error 1.7389847717414614e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40377905020255705 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45999999999999996 y[1] (closed_form) 0.6439475024744747 y[1] (numeric) 0.6439475024744747 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3978008100181832 Order of pole (three term test) 32.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44999999999999996 y[1] (closed_form) 0.6495528976473233 y[1] (numeric) 0.6495528976473232 absolute error 1.1102230246251565e-16 relative error 1.709211102970024e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3916634548137416 Order of pole (three term test) 32.18919501586466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.43999999999999995 y[1] (closed_form) 0.6552483367800366 y[1] (numeric) 0.6552483367800366 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3853694394494844 Order of pole (three term test) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42999999999999994 y[1] (closed_form) 0.661034250325115 y[1] (numeric) 0.6610342503251148 absolute error 2.220446049250313e-16 relative error 3.359048412632532e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37892128144763854 Order of pole (three term test) 32.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41999999999999993 y[1] (closed_form) 0.6669110596876919 y[1] (numeric) 0.6669110596876917 absolute error 2.220446049250313e-16 relative error 3.329448532897515e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37232155998542943 Order of pole (three term test) 32.166268587079344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4099999999999999 y[1] (closed_form) 0.6728791771833948 y[1] (numeric) 0.672879177183395 absolute error 1.1102230246251565e-16 relative error 1.649958955889287e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36557291486344773 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3999999999999999 y[1] (closed_form) 0.678939005997115 y[1] (numeric) 0.6789390059971151 absolute error 1.1102230246251565e-16 relative error 1.6352323475577042e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35867804544976134 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3899999999999999 y[1] (closed_form) 0.685090940142687 y[1] (numeric) 0.6850909401426871 absolute error 1.1102230246251565e-16 relative error 1.6205483966755205e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3516397096002051 Order of pole (three term test) 32.14454323099386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3799999999999999 y[1] (closed_form) 0.6913353644234899 y[1] (numeric) 0.6913353644234898 absolute error 1.1102230246251565e-16 relative error 1.605910939549549e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3444607225552756 Order of pole (three term test) 32.13758199462955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3699999999999999 y[1] (closed_form) 0.6976726543939658 y[1] (numeric) 0.6976726543939655 absolute error 2.220446049250313e-16 relative error 3.1826473852255345e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3371439558140725 Order of pole (three term test) 32.1307657206352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3599999999999999 y[1] (closed_form) 0.7041031763220653 y[1] (numeric) 0.7041031763220652 absolute error 1.1102230246251565e-16 relative error 1.5767902517135174e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3296923359857363 Order of pole (three term test) 32.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34999999999999987 y[1] (closed_form) 0.7106272871526211 y[1] (numeric) 0.710627287152621 absolute error 1.1102230246251565e-16 relative error 1.562314091643816e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3221088436188455 Order of pole (three term test) 32.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33999999999999986 y[1] (closed_form) 0.7172453344716538 y[1] (numeric) 0.7172453344716536 absolute error 2.220446049250313e-16 relative error 3.095797131794473e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31439651200923424 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.32999999999999985 y[1] (closed_form) 0.7239576564716133 y[1] (numeric) 0.7239576564716129 absolute error 3.3306690738754696e-16 relative error 4.600640719939768e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30655842598671673 Order of pole (three term test) 32.10500388425131 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31999999999999984 y[1] (closed_form) 0.7307645819175592 y[1] (numeric) 0.7307645819175591 absolute error 1.1102230246251565e-16 relative error 1.519262224931429e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2985977206811959 Order of pole (three term test) 32.09895212105785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.30999999999999983 y[1] (closed_form) 0.7376664301142866 y[1] (numeric) 0.7376664301142867 absolute error 1.1102230246251565e-16 relative error 1.50504751104527e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29051758026865243 Order of pole (three term test) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2999999999999998 y[1] (closed_form) 0.744663510874394 y[1] (numeric) 0.744663510874394 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2823212366975175 Order of pole (three term test) 32.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2899999999999998 y[1] (closed_form) 0.751756124487303 y[1] (numeric) 0.751756124487303 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2740119683959364 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2799999999999998 y[1] (closed_form) 0.7589445616892292 y[1] (numeric) 0.7589445616892294 absolute error 2.220446049250313e-16 relative error 2.9257025629225554e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2655930989604416 Order of pole (three term test) 32.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2699999999999998 y[1] (closed_form) 0.7662291036341096 y[1] (numeric) 0.7662291036341098 absolute error 2.220446049250313e-16 relative error 2.897887901567653e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25706799582655654 Order of pole (three term test) 32.07114565931809 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2599999999999998 y[1] (closed_form) 0.7736100218654869 y[1] (numeric) 0.7736100218654871 absolute error 2.220446049250313e-16 relative error 2.870239508914219e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24844006892186804 Order of pole (three term test) 32.06609041016117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24999999999999978 y[1] (closed_form) 0.7810875782893554 y[1] (numeric) 0.7810875782893557 absolute error 3.3306690738754696e-16 relative error 4.2641429289784674e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23971276930210125 Order of pole (three term test) 32.06120871905482 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23999999999999977 y[1] (closed_form) 0.7886620251479706 y[1] (numeric) 0.7886620251479708 absolute error 2.220446049250313e-16 relative error 2.8154595738696913e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2308895877707414 Order of pole (three term test) 32.05650253861036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22999999999999976 y[1] (closed_form) 0.7963336049946255 y[1] (numeric) 0.7963336049946255 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275961 Order of pole (three term test) 32.051973751237234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21999999999999975 y[1] (closed_form) 0.8041025506693948 y[1] (numeric) 0.8041025506693948 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299964 Order of pole (three term test) 32.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20999999999999974 y[1] (closed_form) 0.8119690852758519 y[1] (numeric) 0.8119690852758523 absolute error 4.440892098500626e-16 relative error 5.469287167493468e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20388022652978482 Order of pole (three term test) 32.04345552984385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19999999999999973 y[1] (closed_form) 0.8199334221587584 y[1] (numeric) 0.819933422158759 absolute error 5.551115123125783e-16 relative error 6.770202278753989e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432504 Order of pole (three term test) 32.03946950299856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18999999999999972 y[1] (closed_form) 0.8279957648827299 y[1] (numeric) 0.8279957648827303 absolute error 4.440892098500626e-16 relative error 5.363423687474532e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649095 Order of pole (three term test) 32.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17999999999999972 y[1] (closed_form) 0.836156307211879 y[1] (numeric) 0.8361563072118792 absolute error 2.220446049250313e-16 relative error 2.6555394369436482e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754467 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1699999999999997 y[1] (closed_form) 0.8444152330904395 y[1] (numeric) 0.8444152330904401 absolute error 5.551115123125783e-16 relative error 6.573916369094257e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16674354607040698 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1599999999999997 y[1] (closed_form) 0.8527727166243733 y[1] (numeric) 0.8527727166243737 absolute error 4.440892098500626e-16 relative error 5.207591673522943e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1572832803080585 Order of pole (three term test) 32.025382290958774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1499999999999997 y[1] (closed_form) 0.861228922063958 y[1] (numeric) 0.8612289220639583 absolute error 3.3306690738754696e-16 relative error 3.867344661270122e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1477601033306694 Order of pole (three term test) 32.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13999999999999968 y[1] (closed_form) 0.869784003787363 y[1] (numeric) 0.8697840037873632 absolute error 2.220446049250313e-16 relative error 2.5528706432650696e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13817782428205658 Order of pole (three term test) 32.01947228084462 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12999999999999967 y[1] (closed_form) 0.8784381062852122 y[1] (numeric) 0.8784381062852124 absolute error 1.1102230246251565e-16 relative error 1.2638602727745148e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12854027594607706 Order of pole (three term test) 32.01680501093275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11999999999999966 y[1] (closed_form) 0.8871913641461342 y[1] (numeric) 0.8871913641461342 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1188513132135671 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.10999999999999965 y[1] (closed_form) 0.8960439020433035 y[1] (numeric) 0.8960439020433035 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043438 Order of pole (three term test) 32.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.09999999999999964 y[1] (closed_form) 0.9049958347219746 y[1] (numeric) 0.9049958347219746 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09933466539753022 Order of pole (three term test) 32.00996671107938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.08999999999999964 y[1] (closed_form) 0.9140472669880062 y[1] (numeric) 0.9140472669880062 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08951478671291177 Order of pole (three term test) 32.008078153605936 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.07999999999999963 y[1] (closed_form) 0.9231982936973808 y[1] (numeric) 0.9231982936973812 absolute error 3.3306690738754696e-16 relative error 3.607750465543261e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07965910330712259 Order of pole (three term test) 32.006386358312184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.06999999999999962 y[1] (closed_form) 0.9324489997467207 y[1] (numeric) 0.9324489997467209 absolute error 2.220446049250313e-16 relative error 2.3813056262095284e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0697715573221179 Order of pole (three term test) 32.00489200189368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.05999999999999961 y[1] (closed_form) 0.9417994600647961 y[1] (numeric) 0.9417994600647963 absolute error 2.220446049250313e-16 relative error 2.3576633279207292e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.059856103644459306 Order of pole (three term test) 32.00359568207307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.0499999999999996 y[1] (closed_form) 0.9512497396050341 y[1] (numeric) 0.9512497396050342 absolute error 1.1102230246251565e-16 relative error 1.1671204504992866e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.049916708323413723 Order of pole (three term test) 32.00249791736099 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.03999999999999959 y[1] (closed_form) 0.9607998933390225 y[1] (numeric) 0.9607998933390225 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.039957346984585966 Order of pole (three term test) 32.00159914684869 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.029999999999999583 y[1] (closed_form) 0.9704499662510129 y[1] (numeric) 0.9704499662510129 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.029982003239721878 Order of pole (three term test) 32.000899730032394 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.019999999999999574 y[1] (closed_form) 0.9801999933334227 y[1] (numeric) 0.9801999933334227 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019994667093316657 Order of pole (three term test) 32.00039994666952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.009999999999999565 y[1] (closed_form) 0.9900499995833352 y[1] (numeric) 0.9900499995833352 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009999333346666106 Order of pole (three term test) 32.00009999666671 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] -2.1068160757100295e-09 y[1] (closed_form) 0.999999997893184 y[1] (numeric) 0.9999999978931837 absolute error 2.220446049250313e-16 relative error 2.2204460539283845e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.010047854512194693 y[1] (closed_form) 1.0100983337776455 y[1] (numeric) 1.0100983337776455 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.020095711131205493 y[1] (closed_form) 1.0202976231390308 y[1] (numeric) 1.0202976231390308 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.030143567750216295 y[1] (closed_form) 1.0305978506889069 y[1] (numeric) 1.0305978506889066 absolute error 2.220446049250313e-16 relative error 2.1545222976799805e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.040026705408259707 y[1] (closed_form) 1.0408276670350813 y[1] (numeric) 1.0408276670350805 absolute error 8.881784197001252e-16 relative error 8.533385956487924e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05007456202727051 y[1] (closed_form) 1.051328030956757 y[1] (numeric) 1.0513280309567565 absolute error 4.440892098500626e-16 relative error 4.224078468124939e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06012241864628131 y[1] (closed_form) 1.0619292269032363 y[1] (numeric) 1.0619292269032357 absolute error 6.661338147750939e-16 relative error 6.272864498867328e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07000555630432441 y[1] (closed_form) 1.0724549446901883 y[1] (numeric) 1.072454944690188 absolute error 2.220446049250313e-16 relative error 2.0704329447534577e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08005341292333479 y[1] (closed_form) 1.0832559765200436 y[1] (numeric) 1.083255976520043 absolute error 6.661338147750939e-16 relative error 6.149366624452392e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09010126954234517 y[1] (closed_form) 1.094157643596886 y[1] (numeric) 1.0941576435968856 absolute error 4.440892098500626e-16 relative error 4.058731504083663e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09998440720038816 y[1] (closed_form) 1.1049786853608625 y[1] (numeric) 1.1049786853608616 absolute error 8.881784197001252e-16 relative error 8.037968799462092e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11003226381939854 y[1] (closed_form) 1.1160797082473044 y[1] (numeric) 1.1160797082473037 absolute error 6.661338147750939e-16 relative error 5.968514702423834e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12008012043840892 y[1] (closed_form) 1.127281079165624 y[1] (numeric) 1.1272810791656243 absolute error 2.220446049250313e-16 relative error 1.9697359339108337e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13012797705741974 y[1] (closed_form) 1.1385826816586633 y[1] (numeric) 1.138582681658664 absolute error 6.661338147750939e-16 relative error 5.85055284526798e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14001111471546357 y[1] (closed_form) 1.1497966695460047 y[1] (numeric) 1.149796669546005 absolute error 2.220446049250313e-16 relative error 1.9311640988898086e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1500589713344748 y[1] (closed_form) 1.1612967076838052 y[1] (numeric) 1.1612967076838048 absolute error 4.440892098500626e-16 relative error 3.8240805033865474e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16010682795348602 y[1] (closed_form) 1.1728965698490157 y[1] (numeric) 1.1728965698490144 absolute error 1.3322676295501878e-15 relative error 1.1358781872144853e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16998996561152985 y[1] (closed_form) 1.184403501110175 y[1] (numeric) 1.1844035011101732 absolute error 1.7763568394002505e-15 relative error 1.499790263820751e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18003782223054107 y[1] (closed_form) 1.1962009014439223 y[1] (numeric) 1.1962009014439192 absolute error 3.1086244689504383e-15 relative error 2.598747806658604e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1900856788495523 y[1] (closed_form) 1.208097628549492 y[1] (numeric) 1.2080976285494882 absolute error 3.774758283725532e-15 relative error 3.1245473830270765e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20013353546856352 y[1] (closed_form) 1.220093495767557 y[1] (numeric) 1.2200934957675527 absolute error 4.440892098500626e-15 relative error 3.639796551580561e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21001667312660735 y[1] (closed_form) 1.2319892342167047 y[1] (numeric) 1.2319892342166994 absolute error 5.329070518200751e-15 relative error 4.3255820507140707e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22006452974561858 y[1] (closed_form) 1.2441811647489287 y[1] (numeric) 1.2441811647489232 absolute error 5.551115123125783e-15 relative error 4.4616614367779613e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2301123863646298 y[1] (closed_form) 1.2564716190733298 y[1] (numeric) 1.2564716190733238 absolute error 5.995204332975845e-15 relative error 4.771460208068539e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23999552402267363 y[1] (closed_form) 1.2686564852288078 y[1] (numeric) 1.2686564852288014 absolute error 6.439293542825908e-15 relative error 5.075679364587454e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25004338064168485 y[1] (closed_form) 1.281141692385233 y[1] (numeric) 1.2811416923852268 absolute error 6.217248937900877e-15 relative error 4.852897204778018e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600912372606944 y[1] (closed_form) 1.2937247184737108 y[1] (numeric) 1.2937247184737055 absolute error 5.329070518200751e-15 relative error 4.1191688170631803e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2701390938797039 y[1] (closed_form) 1.3064053075471513 y[1] (numeric) 1.3064053075471471 absolute error 4.218847493575595e-15 relative error 3.2293557513913624e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2800222315377461 y[1] (closed_form) 1.3189729372755037 y[1] (numeric) 1.3189729372755006 absolute error 3.1086244689504383e-15 relative error 2.356852351627224e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2900700881567556 y[1] (closed_form) 1.3318462568620344 y[1] (numeric) 1.3318462568620335 absolute error 8.881784197001252e-16 relative error 6.668775882531398e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30011794477576514 y[1] (closed_form) 1.3448163173594156 y[1] (numeric) 1.3448163173594174 absolute error 1.7763568394002505e-15 relative error 1.3208917950134458e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3100010824338073 y[1] (closed_form) 1.357667842754433 y[1] (numeric) 1.357667842754436 absolute error 2.886579864025407e-15 relative error 2.126131129517748e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32004893905281684 y[1] (closed_form) 1.370828916696618 y[1] (numeric) 1.3708289166966228 absolute error 4.6629367034256575e-15 relative error 3.401545332631486e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33009679567182637 y[1] (closed_form) 1.38408582253795 y[1] (numeric) 1.3840858225379558 absolute error 5.773159728050814e-15 relative error 4.171099533022289e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3401446522908359 y[1] (closed_form) 1.3974382362973978 y[1] (numeric) 1.3974382362974047 absolute error 6.8833827526759706e-15 relative error 4.925715193620245e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35002778994887807 y[1] (closed_form) 1.4106646065767676 y[1] (numeric) 1.4106646065767758 absolute error 8.215650382226158e-15 relative error 5.823957263777191e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600756465678876 y[1] (closed_form) 1.4242054739044192 y[1] (numeric) 1.4242054739044294 absolute error 1.021405182655144e-14 relative error 7.171754366699563e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37012350318689713 y[1] (closed_form) 1.43784082534944 y[1] (numeric) 1.4378408253494515 absolute error 1.1546319456101628e-14 relative error 8.030318274830953e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800066408449393 y[1] (closed_form) 1.4513444685142285 y[1] (numeric) 1.4513444685142423 absolute error 1.3766765505351941e-14 relative error 9.48552587205246e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3900544974639488 y[1] (closed_form) 1.4651661582845503 y[1] (numeric) 1.465166158284565 absolute error 1.4654943925052066e-14 relative error 1.000224025253928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40010235408295836 y[1] (closed_form) 1.4790812234620003 y[1] (numeric) 1.4790812234620172 absolute error 1.687538997430238e-14 relative error 1.1409373404662067e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4099854917410005 y[1] (closed_form) 1.4928588858935479 y[1] (numeric) 1.492858885893566 absolute error 1.8207657603852567e-14 relative error 1.2196502814768328e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42003334836001005 y[1] (closed_form) 1.506958006697815 y[1] (numeric) 1.506958006697834 absolute error 1.9095836023552692e-14 relative error 1.2671777142215957e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4300812049790196 y[1] (closed_form) 1.5211493102858356 y[1] (numeric) 1.521149310285855 absolute error 1.9539925233402755e-14 relative error 1.2845501162361934e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4401290615980291 y[1] (closed_form) 1.5354323783411155 y[1] (numeric) 1.5354323783411357 absolute error 2.020605904817785e-14 relative error 1.3159849520698866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500121992560713 y[1] (closed_form) 1.5495704032263302 y[1] (numeric) 1.5495704032263526 absolute error 2.2426505097428162e-14 relative error 1.447272421487554e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600600558750808 y[1] (closed_form) 1.5640342216574936 y[1] (numeric) 1.5640342216575183 absolute error 2.4646951146678475e-14 relative error 1.5758575359405332e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47010791249409034 y[1] (closed_form) 1.5785885015784649 y[1] (numeric) 1.578588501578491 absolute error 2.6201263381153694e-14 relative error 1.6597905885513852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4799910501521325 y[1] (closed_form) 1.592991994555003 y[1] (numeric) 1.5929919945550313 absolute error 2.8199664825478976e-14 relative error 1.7702326767408807e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49003890677114204 y[1] (closed_form) 1.6077243593625505 y[1] (numeric) 1.6077243593625818 absolute error 3.1308289294429414e-14 relative error 1.9473667306280595e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000867633901516 y[1] (closed_form) 1.622545801387952 y[1] (numeric) 1.6225458013879845 absolute error 3.26405569239796e-14 relative error 2.0116878608947953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5101346200091611 y[1] (closed_form) 1.6374558386968356 y[1] (numeric) 1.6374558386968703 absolute error 3.4638958368304884e-14 relative error 2.1154132862521775e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200177576672033 y[1] (closed_form) 1.6522074015585075 y[1] (numeric) 1.6522074015585444 absolute error 3.68594044175552e-14 relative error 2.230918732284225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300656142862128 y[1] (closed_form) 1.6672917158380614 y[1] (numeric) 1.6672917158381007 absolute error 3.930189507173054e-14 relative error 2.3572296736312583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5401134709052223 y[1] (closed_form) 1.68246313453943 y[1] (numeric) 1.6824631345394714 absolute error 4.1300296516055823e-14 relative error 2.4547519448241388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5499966085632645 y[1] (closed_form) 1.697470313847992 y[1] (numeric) 1.6974703138480358 absolute error 4.374278717023117e-14 relative error 2.5769397445938674e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.560044465182274 y[1] (closed_form) 1.7128129742975382 y[1] (numeric) 1.7128129742975833 absolute error 4.5075054799781356e-14 relative error 2.6316390333432415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700923218012836 y[1] (closed_form) 1.728241170029607 y[1] (numeric) 1.7282411700296534 absolute error 4.6407322429331543e-14 relative error 2.6852341695190914e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5801401784202931 y[1] (closed_form) 1.7437543578528378 y[1] (numeric) 1.7437543578528862 absolute error 4.8405723873656825e-14 relative error 2.7759485535142082e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900233160783352 y[1] (closed_form) 1.7590956093612296 y[1] (numeric) 1.7590956093612808 absolute error 5.129230373768223e-14 relative error 2.9158337650736172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000711726973448 y[1] (closed_form) 1.77477574700589 y[1] (numeric) 1.7747757470059435 absolute error 5.3512749786932545e-14 relative error 3.015183742352264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6101190293163543 y[1] (closed_form) 1.7905392052992286 y[1] (numeric) 1.7905392052992841 absolute error 5.551115123125783e-14 relative error 3.100247739170894e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200021669743965 y[1] (closed_form) 1.8061249694020898 y[1] (numeric) 1.8061249694021473 absolute error 5.750955267558311e-14 relative error 3.1841402809807456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.630050023593406 y[1] (closed_form) 1.8220519874300583 y[1] (numeric) 1.8220519874301184 absolute error 6.017408793468348e-14 relative error 3.302545061821039e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400978802124155 y[1] (closed_form) 1.8380605797869374 y[1] (numeric) 1.8380605797869995 absolute error 6.217248937900877e-14 relative error 3.382504911030496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6501457368314251 y[1] (closed_form) 1.8541501446853514 y[1] (numeric) 1.8541501446854154 absolute error 6.394884621840902e-14 relative error 3.448957270354236e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600288744894672 y[1] (closed_form) 1.8700543467575068 y[1] (numeric) 1.8700543467575714 absolute error 6.461498003318411e-14 relative error 3.455246107965805e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700767311084768 y[1] (closed_form) 1.8863027164781534 y[1] (numeric) 1.8863027164782202 absolute error 6.683542608243442e-14 relative error 3.543197255593227e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6801245877274863 y[1] (closed_form) 1.902630214905059 y[1] (numeric) 1.9026302149051275 absolute error 6.861178292183467e-14 relative error 3.606154384826607e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900077253855285 y[1] (closed_form) 1.9187666279065723 y[1] (numeric) 1.918766627906643 absolute error 7.083222897108499e-14 relative error 3.691549974910962e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.700055582004538 y[1] (closed_form) 1.9352492028118828 y[1] (numeric) 1.9352492028119557 absolute error 7.283063041541027e-14 relative error 3.763372195662897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7101034386235475 y[1] (closed_form) 1.9518089914780403 y[1] (numeric) 1.9518089914781158 absolute error 7.549516567451064e-14 relative error 3.867958699039533e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7199865762815897 y[1] (closed_form) 1.9681719958142705 y[1] (numeric) 1.9681719958143482 absolute error 7.771561172376096e-14 relative error 3.948618915879276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300344329005992 y[1] (closed_form) 1.9848829932533276 y[1] (numeric) 1.9848829932534078 absolute error 8.01581023779363e-14 relative error 4.038429602671589e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400822895196087 y[1] (closed_form) 2.001669220118578 y[1] (numeric) 2.0016692201186603 absolute error 8.215650382226158e-14 relative error 4.104399617904634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7501301461386183 y[1] (closed_form) 2.018529996113776 y[1] (numeric) 2.0185299961138594 absolute error 8.348877145181177e-14 relative error 4.1361174524307576e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600132837966604 y[1] (closed_form) 2.0351864246120988 y[1] (numeric) 2.0351864246121845 absolute error 8.570921750106208e-14 relative error 4.211369359806832e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.77006114041567 y[1] (closed_form) 2.0521930341443815 y[1] (numeric) 2.0521930341444694 absolute error 8.79296635503124e-14 relative error 4.2846682591422404e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7801089970346795 y[1] (closed_form) 2.069272118616446 y[1] (numeric) 2.069272118616536 absolute error 8.970602038971265e-14 relative error 4.335148556956915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7899921346927217 y[1] (closed_form) 2.086141231915493 y[1] (numeric) 2.086141231915584 absolute error 9.103828801926284e-14 relative error 4.36395612274398e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000399913117312 y[1] (closed_form) 2.103361970532735 y[1] (numeric) 2.1033619705328293 absolute error 9.414691248821327e-14 relative error 4.47602047613174e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100878479307407 y[1] (closed_form) 2.1206530447689613 y[1] (numeric) 2.120653044769058 absolute error 9.681144774731365e-14 relative error 4.5651714685775464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8201357045497503 y[1] (closed_form) 2.138013723359256 y[1] (numeric) 2.1380137233593532 absolute error 9.725553695716371e-14 relative error 4.548873372260465e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300188422077924 y[1] (closed_form) 2.1551569865125555 y[1] (numeric) 2.155156986512655 absolute error 9.947598300641403e-14 relative error 4.615718652003382e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.840066698826802 y[1] (closed_form) 2.172653541292627 y[1] (numeric) 2.172653541292729 absolute error 1.0169642905566434e-13 relative error 4.68074762601863e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8501145554458115 y[1] (closed_form) 2.1902174771528444 y[1] (numeric) 2.190217477152948 absolute error 1.0347278589506459e-13 relative error 4.724315597626095e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8599976931038537 y[1] (closed_form) 2.20755847667745 y[1] (numeric) 2.2075584766775562 absolute error 1.0613732115416497e-13 relative error 4.807905306948426e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700455497228632 y[1] (closed_form) 2.2252538181230435 y[1] (numeric) 2.2252538181231536 absolute error 1.1013412404281553e-13 relative error 4.949283679275357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800934063418727 y[1] (closed_form) 2.2430142568218954 y[1] (numeric) 2.2430142568220073 absolute error 1.1191048088221578e-13 relative error 4.989289771201928e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8901412629608823 y[1] (closed_form) 2.260839014122723 y[1] (numeric) 2.2608390141228365 absolute error 1.1368683772161603e-13 relative error 5.028524234209136e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000244006189244 y[1] (closed_form) 2.2784335461947234 y[1] (numeric) 2.2784335461948393 absolute error 1.1590728377086634e-13 relative error 5.087147876858046e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.910072257237934 y[1] (closed_form) 2.296383556710858 y[1] (numeric) 2.2963835567109756 absolute error 1.176836406102666e-13 relative error 5.1247379936314515e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9201201138569435 y[1] (closed_form) 2.3143955243626104 y[1] (numeric) 2.3143955243627317 absolute error 1.212363542890671e-13 relative error 5.238359347521459e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300032515149856 y[1] (closed_form) 2.332171875710098 y[1] (numeric) 2.3321718757102214 absolute error 1.234568003383174e-13 relative error 5.293640731377372e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400511081339952 y[1] (closed_form) 2.3503043566607587 y[1] (numeric) 2.3503043566608848 absolute error 1.2612133559741778e-13 relative error 5.366170353213622e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500989647530047 y[1] (closed_form) 2.3684963776020203 y[1] (numeric) 2.368496377602149 absolute error 1.2878587085651816e-13 relative error 5.437452726311837e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9601468213720142 y[1] (closed_form) 2.386747116310672 y[1] (numeric) 2.386747116310802 absolute error 1.3011813848606835e-13 relative error 5.451693545447714e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700299590300564 y[1] (closed_form) 2.404755140899268 y[1] (numeric) 2.4047551408994003 absolute error 1.3233858453531866e-13 relative error 5.503204142681658e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800778156490659 y[1] (closed_form) 2.423119896261178 y[1] (numeric) 2.423119896261313 absolute error 1.3500311979441904e-13 relative error 5.57145851522766e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9901256722680755 y[1] (closed_form) 2.441540881299984 y[1] (numeric) 2.4415408813001207 absolute error 1.3677947663381929e-13 relative error 5.602178430901057e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000088099261177 y[1] (closed_form) 2.4597139173761517 y[1] (numeric) 2.4597139173762903 absolute error 1.3855583347321954e-13 relative error 5.6330060375891624e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.010056666545134 y[1] (closed_form) 2.478243933059625 y[1] (numeric) 2.4782439330597534 absolute error 1.283417816466681e-13 relative error 5.1787388616026225e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0201045231641503 y[1] (closed_form) 2.4968276397979015 y[1] (numeric) 2.4968276397980187 absolute error 1.1723955140041653e-13 relative error 4.695540434257054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299876608221992 y[1] (closed_form) 2.51515823752678 y[1] (numeric) 2.515158237526888 absolute error 1.0791367799356522e-13 relative error 4.290532356313276e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400355174412155 y[1] (closed_form) 2.5338458909191712 y[1] (numeric) 2.533845890919268 absolute error 9.681144774731365e-14 relative error 3.8207314854572545e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500833740602318 y[1] (closed_form) 2.5525846484940447 y[1] (numeric) 2.552584648494131 absolute error 8.615330671091215e-14 relative error 3.375140047235662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.060131230679248 y[1] (closed_form) 2.571373632830439 y[1] (numeric) 2.571373632830515 absolute error 7.593925488436071e-14 relative error 2.953256341855329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.070014368337297 y[1] (closed_form) 2.589902743271045 y[1] (numeric) 2.5899027432711117 absolute error 6.661338147750939e-14 relative error 2.5720418131754534e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800622249563132 y[1] (closed_form) 2.6087887414810202 y[1] (numeric) 2.6087887414810758 absolute error 5.551115123125783e-14 relative error 2.1278515331120263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0901100815753295 y[1] (closed_form) 2.627722318789492 y[1] (numeric) 2.627722318789537 absolute error 4.4853010194856324e-14 relative error 1.7069159048555282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0999932192333783 y[1] (closed_form) 2.6463910547491087 y[1] (numeric) 2.646391054749144 absolute error 3.5083047578154947e-14 relative error 1.325694005623103e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100410758523946 y[1] (closed_form) 2.6654163510728024 y[1] (numeric) 2.6654163510728277 absolute error 2.531308496145357e-14 relative error 9.49685963743162e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.120088932471411 y[1] (closed_form) 2.6844865360743366 y[1] (numeric) 2.6844865360743513 absolute error 1.4654943925052066e-14 relative error 5.459123645478494e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1301367890904273 y[1] (closed_form) 2.703600698872311 y[1] (numeric) 2.7036006988723154 absolute error 4.440892098500626e-15 relative error 1.6425843137091032e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.140019926748476 y[1] (closed_form) 2.722443528984159 y[1] (numeric) 2.7224435289841535 absolute error 5.329070518200751e-15 relative error 1.957458607117268e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500677833674924 y[1] (closed_form) 2.7416422136352994 y[1] (numeric) 2.741642213635284 absolute error 1.554312234475219e-14 relative error 5.669274520012106e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1601156399865087 y[1] (closed_form) 2.760882132349234 y[1] (numeric) 2.760882132349208 absolute error 2.5757174171303632e-14 relative error 9.329327706354077e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1699987776445575 y[1] (closed_form) 2.779845967852115 y[1] (numeric) 2.7798459678520766 absolute error 3.8191672047105385e-14 relative error 1.3738772755317336e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800466342635738 y[1] (closed_form) 2.7991649286313702 y[1] (numeric) 2.7991649286313205 absolute error 4.973799150320701e-14 relative error 1.7768867777121662e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900944908825901 y[1] (closed_form) 2.818522342684199 y[1] (numeric) 2.818522342684137 absolute error 6.217248937900877e-14 relative error 2.2058540547100737e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2001423475016064 y[1] (closed_form) 2.837917270130965 y[1] (numeric) 2.8379172701308923 absolute error 7.283063041541027e-14 relative error 2.566340857852042e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100254851596552 y[1] (closed_form) 2.8570299283781395 y[1] (numeric) 2.857029928378057 absolute error 8.260059303211165e-14 relative error 2.891135028431495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200733417786715 y[1] (closed_form) 2.876496471603943 y[1] (numeric) 2.8764964716038497 absolute error 9.325873406851315e-14 relative error 3.2420945059081474e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2301211983976879 y[1] (closed_form) 2.895997701860356 y[1] (numeric) 2.895997701860253 absolute error 1.0302869668521453e-13 relative error 3.557623565068096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400043360557367 y[1] (closed_form) 2.91521215259215 y[1] (numeric) 2.915212152592036 absolute error 1.141309269314661e-13 relative error 3.915012731748634e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.250052192674753 y[1] (closed_form) 2.9347793607545265 y[1] (numeric) 2.9347793607544017 absolute error 1.247890679678676e-13 relative error 4.252076651369953e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2601000492937693 y[1] (closed_form) 2.954378398412194 y[1] (numeric) 2.9543783984120604 absolute error 1.3367085216486885e-13 relative error 4.52450005174385e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2701479059127856 y[1] (closed_form) 2.9740083012915433 y[1] (numeric) 2.974008301291399 absolute error 1.4432899320127035e-13 relative error 4.85301245254062e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2800310435708344 y[1] (closed_form) 2.993345574310248 y[1] (numeric) 2.993345574310094 absolute error 1.5409895581797173e-13 relative error 5.148050968137233e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2900789001898507 y[1] (closed_form) 3.0130338360647677 y[1] (numeric) 3.0130338360646025 absolute error 1.652011860642233e-13 relative error 5.4828851932173305e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300126756808867 y[1] (closed_form) 3.0327500678936845 y[1] (numeric) 3.032750067893509 absolute error 1.7541523789077473e-13 relative error 5.784032114872054e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3100098944669158 y[1] (closed_form) 3.0521694218319064 y[1] (numeric) 3.0521694218317212 absolute error 1.851852005074761e-13 relative error 6.0673303121007056e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3200577510859322 y[1] (closed_form) 3.0719382441963745 y[1] (numeric) 3.0719382441961787 absolute error 1.9584334154387761e-13 relative error 6.375236934332013e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3301056077049485 y[1] (closed_form) 3.0917321163522518 y[1] (numeric) 3.0917321163520466 absolute error 2.0516921495072893e-13 relative error 6.63606053919043e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399887453629973 y[1] (closed_form) 3.1112249813538813 y[1] (numeric) 3.111224981353664 absolute error 2.1715962361668062e-13 relative error 6.979875287648963e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3500366019820136 y[1] (closed_form) 3.1310656284444596 y[1] (numeric) 3.1310656284442326 absolute error 2.26929586233382e-13 relative error 7.247679006527965e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3600844586010299 y[1] (closed_form) 3.150928382532107 y[1] (numeric) 3.1509283825318697 absolute error 2.3714363805993344e-13 relative error 7.526151320182125e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3701323152200462 y[1] (closed_form) 3.170812252718779 y[1] (numeric) 3.17081225271853 absolute error 2.4913404672588513e-13 relative error 7.857104958272688e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380015452878095 y[1] (closed_form) 3.1903897940658146 y[1] (numeric) 3.190389794065554 absolute error 2.6068036618198676e-13 relative error 8.17079990247139e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3900633094971113 y[1] (closed_form) 3.2103126097883177 y[1] (numeric) 3.210312609788045 absolute error 2.7267077484793845e-13 relative error 8.493589503295066e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4001111661161276 y[1] (closed_form) 3.230253572885002 y[1] (numeric) 3.230253572884719 absolute error 2.828848266744899e-13 relative error 8.757356668499557e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099943037741764 y[1] (closed_form) 3.249884369476857 y[1] (numeric) 3.249884369476563 absolute error 2.9398705692074145e-13 relative error 9.04607744453583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4200421603931928 y[1] (closed_form) 3.26985837256206 y[1] (numeric) 3.2698583725617545 absolute error 3.055333763768431e-13 relative error 9.34393302598748e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430090017012209 y[1] (closed_form) 3.289847537988206 y[1] (numeric) 3.2898475379878906 absolute error 3.1530333899354446e-13 relative error 9.584132253932882e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4401378736312254 y[1] (closed_form) 3.309850862094942 y[1] (numeric) 3.3098508620946157 absolute error 3.26405569239796e-13 relative error 9.861639778935549e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4500210112892742 y[1] (closed_form) 3.3295391001283265 y[1] (numeric) 3.3295391001279873 absolute error 3.3928415632544784e-13 relative error 1.0190123801590773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4600688679082905 y[1] (closed_form) 3.3495675339856756 y[1] (numeric) 3.3495675339853253 absolute error 3.503863865716994e-13 relative error 1.0460645531597089e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4701167245273068 y[1] (closed_form) 3.369607123900039 y[1] (numeric) 3.369607123899679 absolute error 3.597122599785507e-13 relative error 1.0675198821464201e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799998621853556 y[1] (closed_form) 3.3893281004740823 y[1] (numeric) 3.389328100473712 absolute error 3.703704010149522e-13 relative error 1.0927546405529363e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490047718804372 y[1] (closed_form) 3.409386833575243 y[1] (numeric) 3.4093868335748603 absolute error 3.82804898890754e-13 relative error 1.1227969062382012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5000955754233882 y[1] (closed_form) 3.429453710084293 y[1] (numeric) 3.4294537100838975 absolute error 3.9523939676655573e-13 relative error 1.1524850025074143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5101434320424045 y[1] (closed_form) 3.449527718495278 y[1] (numeric) 3.4495277184948714 absolute error 4.0678571622265736e-13 relative error 1.179250463886986e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200265697004534 y[1] (closed_form) 3.4692786202141583 y[1] (numeric) 3.4692786202137396 absolute error 4.1877612488860905e-13 relative error 1.207098566395218e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300744263194697 y[1] (closed_form) 3.489363779583468 y[1] (numeric) 3.489363779583037 absolute error 4.312106227644108e-13 relative error 1.2357858051013678e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.540122282938486 y[1] (closed_form) 3.5094530490415883 y[1] (numeric) 3.509453049041146 absolute error 4.4231285301066237e-13 relative error 1.2603469738153514e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500054205965348 y[1] (closed_form) 3.5292160122181553 y[1] (numeric) 3.5292160122177023 absolute error 4.5297099404706387e-13 relative error 1.283489002880178e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.560053277215551 y[1] (closed_form) 3.549310434283148 y[1] (numeric) 3.5493104342826833 absolute error 4.645173135031655e-13 relative error 1.3087536920308404e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5701011338345674 y[1] (closed_form) 3.569405940930235 y[1] (numeric) 3.569405940929761 absolute error 4.742872761198669e-13 relative error 1.3287568967183969e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799842714926162 y[1] (closed_form) 3.58917208691906 y[1] (numeric) 3.5891720869185764 absolute error 4.836131495267182e-13 relative error 1.347422574942209e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900321281116325 y[1] (closed_form) 3.609266743191104 y[1] (numeric) 3.6092667431906102 absolute error 4.938272013532696e-13 relative error 1.3682202965044814e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000799847306488 y[1] (closed_form) 3.6293594575638526 y[1] (numeric) 3.629359457563348 absolute error 5.044853423896711e-13 relative error 1.3900120621513157e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6101278413496651 y[1] (closed_form) 3.6494492159227985 y[1] (numeric) 3.649449215922283 absolute error 5.155875726359227e-13 relative error 1.412781880581811e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.620010979007714 y[1] (closed_form) 3.6692057666392177 y[1] (numeric) 3.66920576663869 absolute error 5.275779813018744e-13 relative error 1.4378533526210649e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300588356267303 y[1] (closed_form) 3.6892866617836386 y[1] (numeric) 3.6892866617830986 absolute error 5.400124791776761e-13 relative error 1.4637314166218772e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6401066922457466 y[1] (closed_form) 3.709361577371234 y[1] (numeric) 3.709361577370683 absolute error 5.506706202140776e-13 relative error 1.4845428484874996e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6499898299037954 y[1] (closed_form) 3.7291005804931956 y[1] (numeric) 3.7291005804926334 absolute error 5.622169396701793e-13 relative error 1.507647561482031e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600376865228117 y[1] (closed_form) 3.7491606400768163 y[1] (numeric) 3.7491606400762434 absolute error 5.728750807065808e-13 relative error 1.528008895065225e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.670085543141828 y[1] (closed_form) 3.7692117019342026 y[1] (numeric) 3.7692117019336204 absolute error 5.822009541134321e-13 relative error 1.5446225899560665e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6801333997608443 y[1] (closed_form) 3.789252756156028 y[1] (numeric) 3.789252756155434 absolute error 5.937472735695337e-13 relative error 1.566924435444246e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900165374188931 y[1] (closed_form) 3.8089545267628413 y[1] (numeric) 3.8089545267622382 absolute error 6.03073146976385e-13 relative error 1.583303614519456e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000643940379094 y[1] (closed_form) 3.828972745367655 y[1] (numeric) 3.828972745367038 absolute error 6.16839912481737e-13 relative error 1.6109801596994874e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7101122506569257 y[1] (closed_form) 3.8489779495692398 y[1] (numeric) 3.848977949568611 absolute error 6.288303211476887e-13 relative error 1.6337592196860066e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7199953883149746 y[1] (closed_form) 3.8686415281366315 y[1] (numeric) 3.8686415281359934 absolute error 6.3815619455454e-13 relative error 1.6495614543586676e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300432449339909 y[1] (closed_form) 3.8886179434815613 y[1] (numeric) 3.8886179434809107 absolute error 6.505906924303417e-13 relative error 1.6730640599982786e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400911015530072 y[1] (closed_form) 3.908578349351174 y[1] (numeric) 3.9085783493505106 absolute error 6.634692795159935e-13 relative error 1.6974695662071856e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7501389581720235 y[1] (closed_form) 3.9285217449886405 y[1] (numeric) 3.9285217449879632 absolute error 6.772360450213455e-13 relative error 1.7238953707848287e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600220958300723 y[1] (closed_form) 3.948120636191935 y[1] (numeric) 3.9481206361912484 absolute error 6.865619184281968e-13 relative error 1.738958815327395e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700699524490886 y[1] (closed_form) 3.968027335676501 y[1] (numeric) 3.968027335675803 absolute error 6.981082378842984e-13 relative error 1.7593332374694424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.780117809068105 y[1] (closed_form) 3.9879140496660934 y[1] (numeric) 3.9879140496653855 absolute error 7.078782005009998e-13 relative error 1.7750588194353643e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900009467261537 y[1] (closed_form) 4.0074542914792906 y[1] (numeric) 4.007454291478572 absolute error 7.185363415374013e-13 relative error 1.7929994686780684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.80004880334517 y[1] (closed_form) 4.027298424789739 y[1] (numeric) 4.027298424789013 absolute error 7.265299473147024e-13 relative error 1.8040131886989074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100966599641863 y[1] (closed_form) 4.0471196153026385 y[1] (numeric) 4.047119615301902 absolute error 7.362999099314038e-13 relative error 1.8193183792921925e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8201445165832026 y[1] (closed_form) 4.066916876316142 y[1] (numeric) 4.066916876315398 absolute error 7.442935157087049e-13 relative error 1.830117355097983e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300276542412515 y[1] (closed_form) 4.086365292805267 y[1] (numeric) 4.08636529280451 absolute error 7.567280135845067e-13 relative error 1.8518364349776893e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400755108602678 y[1] (closed_form) 4.106112176896254 y[1] (numeric) 4.106112176895487 absolute error 7.664979762012081e-13 relative error 1.866724393244882e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.850123367479284 y[1] (closed_form) 4.125832202305008 y[1] (numeric) 4.125832202304233 absolute error 7.753797603982093e-13 relative error 1.879329362849566e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.860006505137333 y[1] (closed_form) 4.145201799363646 y[1] (numeric) 4.145201799362858 absolute error 7.878142582740111e-13 relative error 1.9005450069884488e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700543617563492 y[1] (closed_form) 4.164865660864021 y[1] (numeric) 4.164865660863224 absolute error 7.966960424710123e-13 relative error 1.912897335338624e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8801022183753655 y[1] (closed_form) 4.184499758636265 y[1] (numeric) 4.184499758635454 absolute error 8.109068971862143e-13 relative error 1.9378825282821626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8899853560334143 y[1] (closed_form) 4.203782011123032 y[1] (numeric) 4.203782011122212 absolute error 8.197886813832156e-13 relative error 1.9501217694306912e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000332126524306 y[1] (closed_form) 4.223354208473529 y[1] (numeric) 4.223354208472696 absolute error 8.331113576787175e-13 relative error 1.972629612754725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.910081069271447 y[1] (closed_form) 4.242893763797589 y[1] (numeric) 4.242893763796747 absolute error 8.419931418757187e-13 relative error 1.9844784921555408e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9201289258904632 y[1] (closed_form) 4.262399718826854 y[1] (numeric) 4.262399718826003 absolute error 8.5087492607272e-13 relative error 1.9962344740087103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.930012063548512 y[1] (closed_form) 4.28155219908118 y[1] (numeric) 4.281552199080317 absolute error 8.624212455288216e-13 relative error 2.014272407361744e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400599201675284 y[1] (closed_form) 4.300988682107298 y[1] (numeric) 4.300988682106425 absolute error 8.730793865652231e-13 relative error 2.0299504395288297e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9501077767865447 y[1] (closed_form) 4.32038872628057 y[1] (numeric) 4.32038872627969 absolute error 8.801848139228241e-13 relative error 2.0372815264717548e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9599909144445935 y[1] (closed_form) 4.339434273156552 y[1] (numeric) 4.3394342731556605 absolute error 8.917311333789257e-13 relative error 2.054947896999188e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700387710636098 y[1] (closed_form) 4.358759246662354 y[1] (numeric) 4.358759246661451 absolute error 9.023892744153272e-13 relative error 2.0702893262717286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.980086627682626 y[1] (closed_form) 4.37804497550355 y[1] (numeric) 4.378044975502633 absolute error 9.166001291305292e-13 relative error 2.093628855480418e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9901344843016424 y[1] (closed_form) 4.397290527037741 y[1] (numeric) 4.397290527036816 absolute error 9.254819133275305e-13 relative error 2.1046640144356947e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.000017621959691 y[1] (closed_form) 4.416180482044822 y[1] (numeric) 4.416180482043884 absolute error 9.379164112033322e-13 relative error 2.1238181161677733e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0100654785787073 y[1] (closed_form) 4.4353435938089545 y[1] (numeric) 4.435343593808007 absolute error 9.476863738200336e-13 relative error 2.1366695810057546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0201133351977236 y[1] (closed_form) 4.454463770101343 y[1] (numeric) 4.454463770100384 absolute error 9.592326932761353e-13 relative error 2.1534190034602342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0299964728557724 y[1] (closed_form) 4.473227726766389 y[1] (numeric) 4.473227726765419 absolute error 9.698908343125368e-13 relative error 2.1682125157836583e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400443294747888 y[1] (closed_form) 4.492260029900047 y[1] (numeric) 4.49226002989907 absolute error 9.769962616701378e-13 relative error 2.1748435201153662e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.050092186093805 y[1] (closed_form) 4.511246677981795 y[1] (numeric) 4.511246677980804 absolute error 9.912071163853398e-13 relative error 2.197191125067845e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0601400427128214 y[1] (closed_form) 4.530186768563999 y[1] (numeric) 4.530186768562999 absolute error 1.000088900582341e-12 relative error 2.2076107491244873e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07002318037087 y[1] (closed_form) 4.548770075933563 y[1] (numeric) 4.548770075932555 absolute error 1.0080825063596421e-12 relative error 2.2161650062137934e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0800710369898865 y[1] (closed_form) 4.567615162832849 y[1] (numeric) 4.567615162831832 absolute error 1.0169642905566434e-12 relative error 2.2264666665260804e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.090118893608903 y[1] (closed_form) 4.5864110279728 y[1] (numeric) 4.586411027971774 absolute error 1.0258460747536446e-12 relative error 2.2367076751232e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1000020312669516 y[1] (closed_form) 4.604849889274426 y[1] (numeric) 4.604849889273391 absolute error 1.035616037370346e-12 relative error 2.2489680712122524e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.110049887885968 y[1] (closed_form) 4.6235455092354005 y[1] (numeric) 4.623545509234355 absolute error 1.0453859999870474e-12 relative error 2.2610051050625945e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200977445049842 y[1] (closed_form) 4.642189287411079 y[1] (numeric) 4.642189287410023 absolute error 1.056044141023449e-12 relative error 2.2748838438951254e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1301456011240005 y[1] (closed_form) 4.660780355969486 y[1] (numeric) 4.660780355968421 absolute error 1.0649259252204502e-12 relative error 2.2848661466239286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400287387820494 y[1] (closed_form) 4.679014395509677 y[1] (numeric) 4.6790143955086 absolute error 1.077360423096252e-12 relative error 2.3025370986893424e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1500765954010657 y[1] (closed_form) 4.697498361874173 y[1] (numeric) 4.697498361873078 absolute error 1.0951239914902544e-12 relative error 2.3312919071531726e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.160124452020082 y[1] (closed_form) 4.715927061318165 y[1] (numeric) 4.715927061317062 absolute error 1.1031175972675555e-12 relative error 2.3391320156661186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.170007589678131 y[1] (closed_form) 4.733998914673601 y[1] (numeric) 4.733998914672487 absolute error 1.113775738303957e-12 relative error 2.3527165053876012e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.180055446297147 y[1] (closed_form) 4.752315487997155 y[1] (numeric) 4.75231548799603 absolute error 1.1253220577600587e-12 relative error 2.3679447641939305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1901033029161634 y[1] (closed_form) 4.770574286763377 y[1] (numeric) 4.7705742867622405 absolute error 1.1368683772161603e-12 relative error 2.3830849471740957e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199986440574212 y[1] (closed_form) 4.78847659502847 y[1] (numeric) 4.788476595027325 absolute error 1.1448619829934614e-12 relative error 2.390868912635156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2100342971932285 y[1] (closed_form) 4.806618344511458 y[1] (numeric) 4.806618344510301 absolute error 1.1572964808692632e-12 relative error 2.407714525932244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.220082153812245 y[1] (closed_form) 4.824699863720211 y[1] (numeric) 4.824699863719041 absolute error 1.169730978745065e-12 relative error 2.424463721652342e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.230130010431261 y[1] (closed_form) 4.842720341587617 y[1] (numeric) 4.842720341586438 absolute error 1.1786127629420662e-12 relative error 2.4337824193987522e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.24001314808931 y[1] (closed_form) 4.860385072304198 y[1] (numeric) 4.860385072303011 absolute error 1.1874945471390674e-12 relative error 2.4432108350956302e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2500610047083263 y[1] (closed_form) 4.878282092390571 y[1] (numeric) 4.878282092389371 absolute error 1.1999290450148692e-12 relative error 2.4597368956719178e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2601088613273426 y[1] (closed_form) 4.896115688172253 y[1] (numeric) 4.896115688171041 absolute error 1.212363542890671e-12 relative error 2.476174216674306e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699919989853914 y[1] (closed_form) 4.913594294062175 y[1] (numeric) 4.913594294060952 absolute error 1.2230216839270724e-12 relative error 2.4890571152873386e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2800398556044077 y[1] (closed_form) 4.931299761264015 y[1] (numeric) 4.931299761262784 absolute error 1.2310152897043736e-12 relative error 2.496330276602033e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.290087712223424 y[1] (closed_form) 4.94893947819497 y[1] (numeric) 4.948939478193731 absolute error 1.2390088954816747e-12 relative error 2.503584658775377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3001355688424403 y[1] (closed_form) 4.966512678391657 y[1] (numeric) 4.96651267839041 absolute error 1.2470025012589758e-12 relative error 2.510821137504479e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310018706500489 y[1] (closed_form) 4.98373216617977 y[1] (numeric) 4.983732166178516 absolute error 1.2541079286165768e-12 relative error 2.516403142863716e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200665631195054 y[1] (closed_form) 5.001171181726977 y[1] (numeric) 5.001171181725715 absolute error 1.262101534393878e-12 relative error 2.52361194714806e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3301144197385217 y[1] (closed_form) 5.018541433923663 y[1] (numeric) 5.018541433922393 absolute error 1.270095140171179e-12 relative error 2.5308053283883648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3399975573965706 y[1] (closed_form) 5.03555912893283 y[1] (numeric) 5.03555912893155 absolute error 1.2798651027878805e-12 relative error 2.541654402257249e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.350045414015587 y[1] (closed_form) 5.052790800926413 y[1] (numeric) 5.052790800925122 absolute error 1.291411422243982e-12 relative error 2.5558378985474836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.360093270634603 y[1] (closed_form) 5.069951524748385 y[1] (numeric) 5.069951524747083 absolute error 1.3020695632803836e-12 relative error 2.5682090981037606e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3701411272536195 y[1] (closed_form) 5.0870405822938185 y[1] (numeric) 5.0870405822925076 absolute error 1.3109513474773848e-12 relative error 2.5770412605716982e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800242649116683 y[1] (closed_form) 5.103778888009693 y[1] (numeric) 5.103778888008372 absolute error 1.3207213100940862e-12 relative error 2.5877322256198377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3900721215306846 y[1] (closed_form) 5.120723691377881 y[1] (numeric) 5.120723691376553 absolute error 1.3278267374516872e-12 relative error 2.5930450801074103e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.400119978149701 y[1] (closed_form) 5.137594729206044 y[1] (numeric) 5.137594729204704 absolute error 1.340261235327489e-12 relative error 2.60873289149962e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100031158077497 y[1] (closed_form) 5.154116562728525 y[1] (numeric) 5.154116562727177 absolute error 1.3482548411047901e-12 relative error 2.6158796074861e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420050972426766 y[1] (closed_form) 5.170839247603847 y[1] (numeric) 5.17083924760249 absolute error 1.3571366253017914e-12 relative error 2.6245964345743004e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300988290457823 y[1] (closed_form) 5.187486133966102 y[1] (numeric) 5.187486133964733 absolute error 1.368682944757893e-12 relative error 2.6384320062007836e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4401466856647986 y[1] (closed_form) 5.2040565555866625 y[1] (numeric) 5.204056555585287 absolute error 1.375788372115494e-12 relative error 2.6436845130719355e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500298233228475 y[1] (closed_form) 5.220280097290231 y[1] (numeric) 5.220280097288845 absolute error 1.3855583347321954e-12 relative error 2.6541838922616777e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4600776799418638 y[1] (closed_form) 5.236696901874838 y[1] (numeric) 5.236696901873444 absolute error 1.3944401189291966e-12 relative error 2.6628238087065154e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.47012553656088 y[1] (closed_form) 5.25303530009085 y[1] (numeric) 5.253035300089445 absolute error 1.404210081545898e-12 relative error 2.673140387085563e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.480008674218929 y[1] (closed_form) 5.269028750635593 y[1] (numeric) 5.269028750634179 absolute error 1.4139800441625994e-12 relative error 2.6835686633746942e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490056530837945 y[1] (closed_form) 5.285209749897067 y[1] (numeric) 5.285209749895645 absolute error 1.4219736499399005e-12 relative error 2.6904772321809826e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5001043874569615 y[1] (closed_form) 5.30131047162404 y[1] (numeric) 5.301310471622604 absolute error 1.4361845046551025e-12 relative error 2.709112232423414e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099875251150103 y[1] (closed_form) 5.317068339890557 y[1] (numeric) 5.317068339889113 absolute error 1.4441781104324036e-12 relative error 2.7161172625855877e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200353817340266 y[1] (closed_form) 5.333008022193216 y[1] (numeric) 5.333008022191758 absolute error 1.4575007867279055e-12 relative error 2.7329806755634768e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530083238353043 y[1] (closed_form) 5.348865627938009 y[1] (numeric) 5.348865627936541 absolute error 1.468158927764307e-12 relative error 2.7448042816702487e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5401310949720592 y[1] (closed_form) 5.364640570580958 y[1] (numeric) 5.364640570579478 absolute error 1.4797052472204086e-12 relative error 2.758256080258077e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550014232630108 y[1] (closed_form) 5.380075705087326 y[1] (numeric) 5.380075705085836 absolute error 1.4903633882568101e-12 relative error 2.7701531910555514e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5600620892491244 y[1] (closed_form) 5.395684973836431 y[1] (numeric) 5.395684973834931 absolute error 1.5001333508735115e-12 relative error 2.7802463600963143e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5701099458681407 y[1] (closed_form) 5.411209879291343 y[1] (numeric) 5.411209879289835 absolute error 1.5081269566508126e-12 relative error 2.7870420669181626e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5799930835261895 y[1] (closed_form) 5.426397441457979 y[1] (numeric) 5.426397441456462 absolute error 1.5170087408478139e-12 relative error 2.795609347110815e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590040940145206 y[1] (closed_form) 5.441753375369451 y[1] (numeric) 5.441753375367925 absolute error 1.5267787034645153e-12 relative error 2.8056741975390593e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600088796764222 y[1] (closed_form) 5.457023321608653 y[1] (numeric) 5.457023321607118 absolute error 1.5347723092418164e-12 relative error 2.8124715963086397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6101366533832384 y[1] (closed_form) 5.472206752960867 y[1] (numeric) 5.4722067529593215 absolute error 1.545430450278218e-12 relative error 2.8241448469431938e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6200197910412872 y[1] (closed_form) 5.487056373434025 y[1] (numeric) 5.487056373432468 absolute error 1.5569767697343195e-12 relative error 2.837544693859049e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6300676476603035 y[1] (closed_form) 5.502066667552562 y[1] (numeric) 5.502066667550999 absolute error 1.5631940186722204e-12 relative error 2.8411033764655617e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.64011550427932 y[1] (closed_form) 5.516988925894184 y[1] (numeric) 5.516988925892611 absolute error 1.5729639812889218e-12 relative error 2.851127675653216e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499986419373687 y[1] (closed_form) 5.531580196767802 y[1] (numeric) 5.531580196766221 absolute error 1.580957587066223e-12 relative error 2.8580577896891087e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660046498556385 y[1] (closed_form) 5.5463263792007815 y[1] (numeric) 5.5463263791991935 absolute error 1.588063014423824e-12 relative error 2.863270038307161e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700943551754013 y[1] (closed_form) 5.560983084081521 y[1] (numeric) 5.560983084079929 absolute error 1.5916157281026244e-12 relative error 2.862112155418476e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6801422117944176 y[1] (closed_form) 5.575549846107275 y[1] (numeric) 5.575549846105673 absolute error 1.602273869139026e-12 relative error 2.873750416306829e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900253494524664 y[1] (closed_form) 5.589789622855108 y[1] (numeric) 5.5897896228534965 absolute error 1.6111556533360272e-12 relative error 2.88231894586597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7000732060714827 y[1] (closed_form) 5.604176632468059 y[1] (numeric) 5.604176632466442 absolute error 1.617372902273928e-12 relative error 2.886013429526119e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.710121062690499 y[1] (closed_form) 5.618472365089021 y[1] (numeric) 5.618472365087391 absolute error 1.6298074001497298e-12 relative error 2.9008016667959648e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.720004200348548 y[1] (closed_form) 5.6324442805746 y[1] (numeric) 5.6324442805729635 absolute error 1.6360246490876307e-12 relative error 2.9046441786029172e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.730052056967564 y[1] (closed_form) 5.6465576954783385 y[1] (numeric) 5.646557695476694 absolute error 1.644906433284632e-12 relative error 2.913113656133972e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400999135865804 y[1] (closed_form) 5.660578581280448 y[1] (numeric) 5.660578581278797 absolute error 1.6511236822225328e-12 relative error 2.916881478658037e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7501477702055968 y[1] (closed_form) 5.67450653686957 y[1] (numeric) 5.674506536867908 absolute error 1.6617818232589343e-12 relative error 2.928504553588341e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600309078636456 y[1] (closed_form) 5.688115127688416 y[1] (numeric) 5.688115127686747 absolute error 1.6688872506165353e-12 relative error 2.933989930148885e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.770078764482662 y[1] (closed_form) 5.701857596252608 y[1] (numeric) 5.701857596250926 absolute error 1.681321748492337e-12 relative error 2.948726305611948e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.780126621101678 y[1] (closed_form) 5.71550599375537 y[1] (numeric) 5.7155059937536805 absolute error 1.6893153542696382e-12 relative error 2.955670689726063e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790009758759727 y[1] (closed_form) 5.728838523841858 y[1] (numeric) 5.728838523840161 absolute error 1.6973089600469393e-12 relative error 2.962745333077907e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000576153787433 y[1] (closed_form) 5.742299254952668 y[1] (numeric) 5.742299254950964 absolute error 1.7035262089848402e-12 relative error 2.9666273618804665e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8101054719977596 y[1] (closed_form) 5.755664858691901 y[1] (numeric) 5.755664858690191 absolute error 1.709743457922741e-12 relative error 2.970540328352817e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8199886096558084 y[1] (closed_form) 5.768718228200568 y[1] (numeric) 5.7687182281988525 absolute error 1.7150725284409418e-12 relative error 2.973056510295049e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300364662748247 y[1] (closed_form) 5.781894154829895 y[1] (numeric) 5.781894154828171 absolute error 1.723954312637943e-12 relative error 2.98164280852122e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840084322893841 y[1] (closed_form) 5.794973983265059 y[1] (numeric) 5.79497398326333 absolute error 1.7292833831561438e-12 relative error 2.98410896778835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8501321795128574 y[1] (closed_form) 5.807957407402513 y[1] (numeric) 5.807957407400774 absolute error 1.7390533457728452e-12 relative error 2.99425981250541e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860015317170906 y[1] (closed_form) 5.820633654285389 y[1] (numeric) 5.82063365428364 absolute error 1.7497114868092467e-12 relative error 3.006049840503254e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700631737899225 y[1] (closed_form) 5.833424982691979 y[1] (numeric) 5.833424982690221 absolute error 1.758593271006248e-12 relative error 3.0146839570647934e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.880111030408939 y[1] (closed_form) 5.8461190514648305 y[1] (numeric) 5.846119051463066 absolute error 1.7648105199441488e-12 relative error 3.018772803646463e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899941680669876 y[1] (closed_form) 5.85850988043798 y[1] (numeric) 5.85850988043621 absolute error 1.7701395904623496e-12 relative error 3.021484347705862e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.900042024686004 y[1] (closed_form) 5.871010243356136 y[1] (numeric) 5.871010243354358 absolute error 1.7781331962396507e-12 relative error 3.028666485894579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.91008988130502 y[1] (closed_form) 5.883412578708275 y[1] (numeric) 5.883412578706491 absolute error 1.7843504451775516e-12 relative error 3.0328494242185413e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9201377379240365 y[1] (closed_form) 5.895716648789583 y[1] (numeric) 5.895716648787794 absolute error 1.7887913372760522e-12 relative error 3.034052421164608e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9300208755820853 y[1] (closed_form) 5.907722929649433 y[1] (numeric) 5.9077229296476395 absolute error 1.7932322293745528e-12 relative error 3.035403404541459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9400687322011017 y[1] (closed_form) 5.919831415695128 y[1] (numeric) 5.919831415693325 absolute error 1.8030021919912542e-12 relative error 3.0456985433926233e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.950116588820118 y[1] (closed_form) 5.931840986298186 y[1] (numeric) 5.931840986296382 absolute error 1.8038903704109543e-12 relative error 3.041029546438815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999726478167 y[1] (closed_form) 5.943556990115114 y[1] (numeric) 5.943556990113303 absolute error 1.8109957977685553e-12 relative error 3.046989876231472e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.970047583097183 y[1] (closed_form) 5.955369775040484 y[1] (numeric) 5.955369775038669 absolute error 1.815436689867056e-12 relative error 3.048402968151066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9800954397161994 y[1] (closed_form) 5.9670830832431765 y[1] (numeric) 5.967083083241357 absolute error 1.8198775819655566e-12 relative error 3.04986130841073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9901432963352157 y[1] (closed_form) 5.978696746581574 y[1] (numeric) 5.978696746579746 absolute error 1.8278711877428577e-12 relative error 3.0573070774796795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0000264339932645 y[1] (closed_form) 5.990022660613171 y[1] (numeric) 5.990022660611338 absolute error 1.8332002582610585e-12 relative error 3.060422910108661e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.010074290612281 y[1] (closed_form) 6.001438209733793 y[1] (numeric) 6.001438209731951 absolute error 1.8420820424580597e-12 relative error 3.069400997031625e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.020122147231297 y[1] (closed_form) 6.01275367216758 y[1] (numeric) 6.012753672165734 absolute error 1.8465229345565604e-12 relative error 3.071010447515795e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.030005284889346 y[1] (closed_form) 6.023785872025583 y[1] (numeric) 6.023785872023731 absolute error 1.851852005074761e-12 relative error 3.0742327905026445e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0400531415083623 y[1] (closed_form) 6.034902432967858 y[1] (numeric) 6.034902432966001 absolute error 1.857181075592962e-12 relative error 3.0774003328495126e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0501009981273786 y[1] (closed_form) 6.045918555345079 y[1] (numeric) 6.045918555343215 absolute error 1.8633983245308627e-12 relative error 3.082076457817098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599841357854274 y[1] (closed_form) 6.056656008408432 y[1] (numeric) 6.056656008406564 absolute error 1.8687273950490635e-12 relative error 3.0854111451182244e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0700319924044437 y[1] (closed_form) 6.0674726207660505 y[1] (numeric) 6.067472620764177 absolute error 1.873168287147564e-12 relative error 3.0872298965744106e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.08007984902346 y[1] (closed_form) 6.078188532940939 y[1] (numeric) 6.078188532939059 absolute error 1.880273714505165e-12 relative error 3.093477117919197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0901277056424763 y[1] (closed_form) 6.088803677487162 y[1] (numeric) 6.088803677485277 absolute error 1.8847146066036657e-12 relative error 3.0953775264133396e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.100010843300525 y[1] (closed_form) 6.099146444386685 y[1] (numeric) 6.099146444384797 absolute error 1.8882673202824662e-12 relative error 3.095953405120027e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1100586999195414 y[1] (closed_form) 6.109561546001634 y[1] (numeric) 6.109561545999741 absolute error 1.893596390800667e-12 relative error 3.099398175373026e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1201065565385577 y[1] (closed_form) 6.119875739235295 y[1] (numeric) 6.119875739233398 absolute error 1.8971491044794675e-12 relative error 3.0999797795184066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299896941966066 y[1] (closed_form) 6.129922380618467 y[1] (numeric) 6.129922380616564 absolute error 1.9033663534173684e-12 relative error 3.105041524563859e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.140037550815623 y[1] (closed_form) 6.1400363416435475 y[1] (numeric) 6.14003634164164 absolute error 1.907807245515869e-12 relative error 3.107159533530045e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.150085407434639 y[1] (closed_form) 6.150049344217466 y[1] (numeric) 6.150049344215554 absolute error 1.9122481376143696e-12 relative error 3.109321617740101e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1601332640536555 y[1] (closed_form) 6.159961391859037 y[1] (numeric) 6.15996139185712 absolute error 1.9166890297128703e-12 relative error 3.111527666790174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1700164017117043 y[1] (closed_form) 6.169612474178893 y[1] (numeric) 6.169612474176972 absolute error 1.921129921811371e-12 relative error 3.113858333650124e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1800642583307206 y[1] (closed_form) 6.179324317415153 y[1] (numeric) 6.179324317413225 absolute error 1.928235349168972e-12 relative error 3.120463096158649e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.190112114949737 y[1] (closed_form) 6.188935276781552 y[1] (numeric) 6.188935276779619 absolute error 1.9335644196871726e-12 relative error 3.124227889312633e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999952526077857 y[1] (closed_form) 6.1982903055162435 y[1] (numeric) 6.198290305514304 absolute error 1.9397816686250735e-12 relative error 3.129543104650554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.210043109226802 y[1] (closed_form) 6.207701291378038 y[1] (numeric) 6.207701291376095 absolute error 1.943334382303874e-12 relative error 3.130521735965289e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2200909658458183 y[1] (closed_form) 6.217011555093183 y[1] (numeric) 6.217011555091234 absolute error 1.949551631241775e-12 relative error 3.1358340160147156e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2301388224648346 y[1] (closed_form) 6.226221171128007 y[1] (numeric) 6.226221171126052 absolute error 1.9548807017599756e-12 relative error 3.1397546730673064e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2400219601228835 y[1] (closed_form) 6.235181705655565 y[1] (numeric) 6.2351817056536065 absolute error 1.958433415438776e-12 relative error 3.140940405413361e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2500698167418998 y[1] (closed_form) 6.244191936567788 y[1] (numeric) 6.244191936565824 absolute error 1.963762485956977e-12 relative error 3.1449425416547783e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.260117673360916 y[1] (closed_form) 6.2531018023291685 y[1] (numeric) 6.2531018023272 absolute error 1.9682033780554775e-12 relative error 3.147563305817854e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.270000811018965 y[1] (closed_form) 6.261767805503261 y[1] (numeric) 6.261767805501289 absolute error 1.972644270153978e-12 relative error 3.150299294745944e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.280048667637981 y[1] (closed_form) 6.2704789360896305 y[1] (numeric) 6.270478936087655 absolute error 1.9753088054130785e-12 relative error 3.1501721408299826e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2900965242569975 y[1] (closed_form) 6.279090074249204 y[1] (numeric) 6.279090074247223 absolute error 1.9815260543509794e-12 relative error 3.1557535103331225e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.300144380876014 y[1] (closed_form) 6.287601365031029 y[1] (numeric) 6.287601365029044 absolute error 1.98507876802978e-12 relative error 3.157132033003787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3100275185340626 y[1] (closed_form) 6.295875871393347 y[1] (numeric) 6.295875871391357 absolute error 1.9904078385479806e-12 relative error 3.1614470793362086e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.320075375153079 y[1] (closed_form) 6.30418957307855 y[1] (numeric) 6.304189573076554 absolute error 1.9957369090661814e-12 relative error 3.165731115683431e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3301232317720952 y[1] (closed_form) 6.312403919998426 y[1] (numeric) 6.312403919996429 absolute error 1.9966250874858815e-12 relative error 3.163018578643775e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.340006369430144 y[1] (closed_form) 6.320386860082418 y[1] (numeric) 6.3203868600804185 absolute error 1.999289622744982e-12 relative error 3.1632393190547694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3500542260491604 y[1] (closed_form) 6.328404683716194 y[1] (numeric) 6.328404683714193 absolute error 2.001065979584382e-12 relative error 3.162038585701361e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3601020826681767 y[1] (closed_form) 6.336323734483637 y[1] (numeric) 6.3363237344816286 absolute error 2.008171406941983e-12 relative error 3.169300514134217e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3699852203262255 y[1] (closed_form) 6.34401681592882 y[1] (numeric) 6.344016815926805 absolute error 2.015276834299584e-12 relative error 3.176657459733624e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.380033076945242 y[1] (closed_form) 6.351740585829125 y[1] (numeric) 6.351740585827101 absolute error 2.0241586184965854e-12 relative error 3.186777846394622e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.390080933564258 y[1] (closed_form) 6.359366253525726 y[1] (numeric) 6.359366253523701 absolute error 2.0250467969162855e-12 relative error 3.184353151217812e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4001287901832744 y[1] (closed_form) 6.366894063559364 y[1] (numeric) 6.366894063557335 absolute error 2.029487689014786e-12 relative error 3.187563148930762e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4100119278413232 y[1] (closed_form) 6.374203249197552 y[1] (numeric) 6.374203249195518 absolute error 2.0339285811132868e-12 relative error 3.190875002878733e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4200597844603395 y[1] (closed_form) 6.381537710557767 y[1] (numeric) 6.381537710555731 absolute error 2.035704937952687e-12 relative error 3.1899912376679506e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.430107641079356 y[1] (closed_form) 6.3887751024783626 y[1] (numeric) 6.388775102476323 absolute error 2.0392576516314875e-12 relative error 3.191938390256388e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399907787374047 y[1] (closed_form) 6.395799428350076 y[1] (numeric) 6.395799428348035 absolute error 2.0410340084708878e-12 relative error 3.191210154939792e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.450038635356421 y[1] (closed_form) 6.402845121805065 y[1] (numeric) 6.402845121803019 absolute error 2.0454749005693884e-12 relative error 3.194634356535452e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4600864919754373 y[1] (closed_form) 6.40979462127661 y[1] (numeric) 6.409794621274558 absolute error 2.0525803279269894e-12 relative error 3.202255999144924e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4701343485944536 y[1] (closed_form) 6.416648239570428 y[1] (numeric) 6.416648239568371 absolute error 2.05702122002549e-12 relative error 3.205756562032144e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4800174862525024 y[1] (closed_form) 6.423296279979937 y[1] (numeric) 6.423296279977874 absolute error 2.0623502905436908e-12 relative error 3.210735112704676e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4900653428715187 y[1] (closed_form) 6.429960671385057 y[1] (numeric) 6.429960671382988 absolute error 2.0694557179012918e-12 relative error 3.2184578159410686e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.500113199490535 y[1] (closed_form) 6.436530172298817 y[1] (numeric) 6.43653017229674 absolute error 2.077449323678593e-12 relative error 3.227591991441918e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.509996337148584 y[1] (closed_form) 6.442899747278674 y[1] (numeric) 6.442899747276596 absolute error 2.078337502098293e-12 relative error 3.225779670056379e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5200441937676 y[1] (closed_form) 6.449282071216407 y[1] (numeric) 6.449282071214324 absolute error 2.0827783941967937e-12 relative error 3.229473251747474e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5300920503866164 y[1] (closed_form) 6.455570580623832 y[1] (numeric) 6.455570580621744 absolute error 2.0881074647149944e-12 relative error 3.234582348123302e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5401399070056327 y[1] (closed_form) 6.461765655039283 y[1] (numeric) 6.461765655037191 absolute error 2.091660178393795e-12 relative error 3.2369793181258275e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500230446636816 y[1] (closed_form) 6.467768398240322 y[1] (numeric) 6.467768398238229 absolute error 2.093436535233195e-12 relative error 3.236721549588501e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.560070901282698 y[1] (closed_form) 6.473779294532142 y[1] (numeric) 6.473779294530044 absolute error 2.097877427331696e-12 relative error 3.240576071389392e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.570118757901714 y[1] (closed_form) 6.479697944128224 y[1] (numeric) 6.479697944126123 absolute error 2.1014301410104963e-12 relative error 3.243098920860611e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580001895559763 y[1] (closed_form) 6.485429980376495 y[1] (numeric) 6.48542998037439 absolute error 2.105871033108997e-12 relative error 3.247080054030197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5900497521787793 y[1] (closed_form) 6.491166891424406 y[1] (numeric) 6.491166891422297 absolute error 2.1094237467877974e-12 relative error 3.2496834268343865e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6000976087977956 y[1] (closed_form) 6.4968128269716185 y[1] (numeric) 6.496812826969504 absolute error 2.114752817305998e-12 relative error 3.255061941336172e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.610145465416812 y[1] (closed_form) 6.502368231429802 y[1] (numeric) 6.502368231427685 absolute error 2.1174173525650986e-12 relative error 3.2563787180343995e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6200286030748607 y[1] (closed_form) 6.507744686609746 y[1] (numeric) 6.507744686607626 absolute error 2.120081887824199e-12 relative error 3.257782826339904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.630076459693877 y[1] (closed_form) 6.513121863956936 y[1] (numeric) 6.513121863954812 absolute error 2.1245227799226996e-12 relative error 3.26191160598365e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6401243163128933 y[1] (closed_form) 6.518409890300006 y[1] (numeric) 6.51840989029788 absolute error 2.1262991367621e-12 relative error 3.261990535339345e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.650007453970942 y[1] (closed_form) 6.523524723137079 y[1] (numeric) 6.523524723134949 absolute error 2.1298518504409003e-12 relative error 3.264878943260419e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6600553105899585 y[1] (closed_form) 6.528637339656466 y[1] (numeric) 6.528637339654332 absolute error 2.134292742539401e-12 relative error 3.269124369300174e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.670103167208975 y[1] (closed_form) 6.53366226537346 y[1] (numeric) 6.53366226537132 absolute error 2.1396218130576017e-12 relative error 3.274766472697839e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799863048670236 y[1] (closed_form) 6.538519760972465 y[1] (numeric) 6.538519760970323 absolute error 2.141398169897002e-12 relative error 3.275050390883142e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.69003416148604 y[1] (closed_form) 6.543372251787613 y[1] (numeric) 6.543372251785467 absolute error 2.1458390619955026e-12 relative error 3.279408505926392e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.700082018105056 y[1] (closed_form) 6.5481385908066745 y[1] (numeric) 6.548138590804524 absolute error 2.150279954094003e-12 relative error 3.283803365299737e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7101298747240725 y[1] (closed_form) 6.5528193112441295 y[1] (numeric) 6.552819311241978 absolute error 2.1511681325137033e-12 relative error 3.2828131378847355e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7200130123821213 y[1] (closed_form) 6.557340299532305 y[1] (numeric) 6.5573402995301535 absolute error 2.1511681325137033e-12 relative error 3.2805497873385234e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7300608690011376 y[1] (closed_form) 6.561852798164188 y[1] (numeric) 6.561852798162033 absolute error 2.154720846192504e-12 relative error 3.283707989906952e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.740108725620154 y[1] (closed_form) 6.56628132026967 y[1] (numeric) 6.566281320267512 absolute error 2.1582735598713043e-12 relative error 3.28690388760661e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7499918632782028 y[1] (closed_form) 6.570555871226041 y[1] (numeric) 6.57055587122388 absolute error 2.1609380951304047e-12 relative error 3.288820820463066e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.760039719897219 y[1] (closed_form) 6.574819503898764 y[1] (numeric) 6.574819503896599 absolute error 2.1653789872289053e-12 relative error 3.2934424830139745e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7700875765162354 y[1] (closed_form) 6.579000877566992 y[1] (numeric) 6.579000877564821 absolute error 2.170708057747106e-12 relative error 3.299449412066145e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7801354331352517 y[1] (closed_form) 6.583100584502471 y[1] (numeric) 6.5831005845003 absolute error 2.171596236166806e-12 relative error 3.298743818800284e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7900185707933005 y[1] (closed_form) 6.5870539962161105 y[1] (numeric) 6.587053996213936 absolute error 2.1742607714259066e-12 relative error 3.3008090910973195e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.800066427412317 y[1] (closed_form) 6.59099349344525 y[1] (numeric) 6.590993493443073 absolute error 2.176925306685007e-12 relative error 3.3028788586272485e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.810114284031333 y[1] (closed_form) 6.594853139806267 y[1] (numeric) 6.594853139804086 absolute error 2.1804780203638074e-12 relative error 3.306332945009087e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.819997421689382 y[1] (closed_form) 6.598572221335912 y[1] (numeric) 6.598572221333729 absolute error 2.183142555622908e-12 relative error 3.3085074806999996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8300452783083982 y[1] (closed_form) 6.602275331489826 y[1] (numeric) 6.602275331487641 absolute error 2.185807090882008e-12 relative error 3.3106875753222686e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8400931349274146 y[1] (closed_form) 6.605900478399359 y[1] (numeric) 6.605900478397172 absolute error 2.1875834477214084e-12 relative error 3.3115598015358996e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.850140991546431 y[1] (closed_form) 6.60944831049212 y[1] (numeric) 6.609448310489936 absolute error 2.183142555622908e-12 relative error 3.30306321052136e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8600241292044797 y[1] (closed_form) 6.612863194036691 y[1] (numeric) 6.612863194034507 absolute error 2.184030734042608e-12 relative error 3.302700615388672e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.870071985823496 y[1] (closed_form) 6.6162596133539795 y[1] (numeric) 6.616259613351795 absolute error 2.184918912462308e-12 relative error 3.302347610502405e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8801198424425123 y[1] (closed_form) 6.619580698633024 y[1] (numeric) 6.619580698630835 absolute error 2.1893598045608087e-12 relative error 3.307399523073904e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.890002980100561 y[1] (closed_form) 6.622774507072743 y[1] (numeric) 6.622774507070551 absolute error 2.192024339819909e-12 relative error 3.30982783345402e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9000508367195774 y[1] (closed_form) 6.6259481762063235 y[1] (numeric) 6.625948176204131 absolute error 2.192912518239609e-12 relative error 3.3095829606913075e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9100986933385937 y[1] (closed_form) 6.629048559780193 y[1] (numeric) 6.629048559777998 absolute error 2.1946888750790094e-12 relative error 3.310714735738459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92014654995761 y[1] (closed_form) 6.6320763592013146 y[1] (numeric) 6.632076359199115 absolute error 2.19912976717751e-12 relative error 3.315899347459181e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.930029687615659 y[1] (closed_form) 6.634984401111728 y[1] (numeric) 6.634984401109527 absolute error 2.2009061240169103e-12 relative error 3.3171232831355814e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.940077544234675 y[1] (closed_form) 6.637870326425679 y[1] (numeric) 6.637870326423476 absolute error 2.2026824808563106e-12 relative error 3.31835720274216e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9501254008536915 y[1] (closed_form) 6.6406858035759235 y[1] (numeric) 6.640685803573718 absolute error 2.205347016115411e-12 relative error 3.320962745937867e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9600085385117403 y[1] (closed_form) 6.643387108458279 y[1] (numeric) 6.643387108456073 absolute error 2.206235194535111e-12 relative error 3.320949326776637e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9700563951307566 y[1] (closed_form) 6.646065011683532 y[1] (numeric) 6.646065011681327 absolute error 2.204458837695711e-12 relative error 3.316938419681955e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.980104251749773 y[1] (closed_form) 6.648674666043359 y[1] (numeric) 6.648674666041154 absolute error 2.204458837695711e-12 relative error 3.3156364966306724e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9899873894078217 y[1] (closed_form) 6.651175687953617 y[1] (numeric) 6.651175687951409 absolute error 2.2080115513745113e-12 relative error 3.319731209887579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.000035246026838 y[1] (closed_form) 6.65365219220339 y[1] (numeric) 6.653652192201179 absolute error 2.211564265053312e-12 relative error 3.323835092619924e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010083102645827 y[1] (closed_form) 6.656062708218826 y[1] (numeric) 6.656062708216622 absolute error 2.204458837695711e-12 relative error 3.311956233485709e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.020130959264816 y[1] (closed_form) 6.658408007054942 y[1] (numeric) 6.6584080070527385 absolute error 2.2035706592760107e-12 relative error 3.309455739181511e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030014096922838 y[1] (closed_form) 6.660651990577628 y[1] (numeric) 6.660651990575432 absolute error 2.1955770534987096e-12 relative error 3.296339542442157e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.040061953541827 y[1] (closed_form) 6.662870231653211 y[1] (numeric) 6.662870231651022 absolute error 2.1893598045608087e-12 relative error 3.2859109189307714e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.050109810160817 y[1] (closed_form) 6.665025594893636 y[1] (numeric) 6.66502559489145 absolute error 2.185807090882008e-12 relative error 3.2795179249673845e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059992947818839 y[1] (closed_form) 6.667085057257962 y[1] (numeric) 6.66708505725578 absolute error 2.1822543772032077e-12 relative error 3.273176145889348e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.070040804437828 y[1] (closed_form) 6.669118059588828 y[1] (numeric) 6.66911805958665 absolute error 2.177813485104707e-12 relative error 3.2655194669607874e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080088661056817 y[1] (closed_form) 6.671090579934756 y[1] (numeric) 6.6710905799325815 absolute error 2.1742607714259066e-12 relative error 3.2592283755906834e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.090136517675806 y[1] (closed_form) 6.673003433570171 y[1] (numeric) 6.673003433568 absolute error 2.171596236166806e-12 relative error 3.2543010921320103e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100019655333829 y[1] (closed_form) 6.67482751824628 y[1] (numeric) 6.674827518244116 absolute error 2.164490808809205e-12 relative error 3.2427666526099175e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110067511952818 y[1] (closed_form) 6.676624452713266 y[1] (numeric) 6.676624452711106 absolute error 2.1600499167107046e-12 relative error 3.235242497176694e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120115368571807 y[1] (closed_form) 6.678364188399855 y[1] (numeric) 6.678364188397702 absolute error 2.1529444893531036e-12 relative error 3.2237602332210515e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129998506229829 y[1] (closed_form) 6.680020417659361 y[1] (numeric) 6.680020417657211 absolute error 2.150279954094003e-12 relative error 3.2189721283029373e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.140046362848818 y[1] (closed_form) 6.681649181055706 y[1] (numeric) 6.681649181053556 absolute error 2.149391775674303e-12 relative error 3.216858169938664e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.150094219467808 y[1] (closed_form) 6.683223265004262 y[1] (numeric) 6.6832232650021135 absolute error 2.148503597254603e-12 relative error 3.2147715437024727e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160142076086797 y[1] (closed_form) 6.684743525005029 y[1] (numeric) 6.684743525002882 absolute error 2.1467272404152027e-12 relative error 3.211383103009308e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.170025213744819 y[1] (closed_form) 6.686187190338485 y[1] (numeric) 6.686187190336342 absolute error 2.143174526736402e-12 relative error 3.20537619681555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.180073070363808 y[1] (closed_form) 6.687603237625089 y[1] (numeric) 6.68760323762295 absolute error 2.1387336346379016e-12 relative error 3.198056999860853e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1901209269827975 y[1] (closed_form) 6.688968045390132 y[1] (numeric) 6.6889680453879965 absolute error 2.135180920959101e-12 relative error 3.192093169634162e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.20000406464082 y[1] (closed_form) 6.690261343335008 y[1] (numeric) 6.690261343332874 absolute error 2.134292742539401e-12 relative error 3.190148535326848e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.210051921259809 y[1] (closed_form) 6.6915271110576295 y[1] (numeric) 6.691527111055496 absolute error 2.133404564119701e-12 relative error 3.188217769594459e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220099777878798 y[1] (closed_form) 6.692744269732039 y[1] (numeric) 6.69274426972991 absolute error 2.1289636720212e-12 relative error 3.181002569677503e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.230147634497787 y[1] (closed_form) 6.693913710892902 y[1] (numeric) 6.69391371089078 absolute error 2.121858244663599e-12 relative error 3.169832083749051e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2400307721558095 y[1] (closed_form) 6.695018299977183 y[1] (numeric) 6.695018299975065 absolute error 2.1174173525650986e-12 relative error 3.1626759744216305e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250078628774799 y[1] (closed_form) 6.696095745393004 y[1] (numeric) 6.69609574539089 absolute error 2.113864638886298e-12 relative error 3.156861429797599e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.260126485393788 y[1] (closed_form) 6.697128161557092 y[1] (numeric) 6.697128161554981 absolute error 2.1112001036271977e-12 relative error 3.152396150555883e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.27000962305181 y[1] (closed_form) 6.69810060789713 y[1] (numeric) 6.698100607895021 absolute error 2.1094237467877974e-12 relative error 3.1492864474158013e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.280057479670799 y[1] (closed_form) 6.699046401441709 y[1] (numeric) 6.699046401439607 absolute error 2.1023183194301964e-12 relative error 3.138235195650763e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2901053362897885 y[1] (closed_form) 6.699949894462545 y[1] (numeric) 6.699949894460443 absolute error 2.1023183194301964e-12 relative error 3.137812002396833e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299988473947811 y[1] (closed_form) 6.700798205777564 y[1] (numeric) 6.700798205775465 absolute error 2.098765605751396e-12 relative error 3.1321128338737285e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3100363305668 y[1] (closed_form) 6.701620527149071 y[1] (numeric) 6.7016205271469715 absolute error 2.099653784171096e-12 relative error 3.133053827302137e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320084187185789 y[1] (closed_form) 6.702403314738788 y[1] (numeric) 6.702403314736691 absolute error 2.0969892489119957e-12 relative error 3.128712419171572e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330132043804778 y[1] (closed_form) 6.703147503934867 y[1] (numeric) 6.7031475039327715 absolute error 2.0952128920725954e-12 relative error 3.125715032889651e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3400151814628005 y[1] (closed_form) 6.703842750160341 y[1] (numeric) 6.703842750158249 absolute error 2.091660178393795e-12 relative error 3.120091351104211e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.35006303808179 y[1] (closed_form) 6.704513158504724 y[1] (numeric) 6.704513158502634 absolute error 2.0907719999740948e-12 relative error 3.1184546148916644e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360110894700779 y[1] (closed_form) 6.705147782070666 y[1] (numeric) 6.705147782068575 absolute error 2.0907719999740948e-12 relative error 3.1181594618462353e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369994032358801 y[1] (closed_form) 6.705738014363122 y[1] (numeric) 6.705738014361032 absolute error 2.0898838215543947e-12 relative error 3.1165604994976555e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.38004188897779 y[1] (closed_form) 6.706304470639161 y[1] (numeric) 6.706304470637073 absolute error 2.0881074647149944e-12 relative error 3.1136484689249164e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.39008974559678 y[1] (closed_form) 6.706837987910454 y[1] (numeric) 6.706837987908368 absolute error 2.086331107875594e-12 relative error 3.110752207875533e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.400137602215769 y[1] (closed_form) 6.707339526731127 y[1] (numeric) 6.707339526729043 absolute error 2.084554751036194e-12 relative error 3.1078712248403466e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.410020739873791 y[1] (closed_form) 6.707802582273875 y[1] (numeric) 6.707802582271788 absolute error 2.0872192862952943e-12 relative error 3.111628973415238e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42006859649278 y[1] (closed_form) 6.708243543446613 y[1] (numeric) 6.708243543444526 absolute error 2.0872192862952943e-12 relative error 3.111424432904394e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.430116453111769 y[1] (closed_form) 6.708655410887864 y[1] (numeric) 6.708655410885775 absolute error 2.0889956431346945e-12 relative error 3.113881270074392e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.439999590769792 y[1] (closed_form) 6.7090330880294395 y[1] (numeric) 6.709033088027352 absolute error 2.0872192862952943e-12 relative error 3.111058268619073e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450047447388781 y[1] (closed_form) 6.709390126476569 y[1] (numeric) 6.709390126474481 absolute error 2.0881074647149944e-12 relative error 3.112216498597858e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.46009530400777 y[1] (closed_form) 6.709720982056837 y[1] (numeric) 6.709720982054748 absolute error 2.0889956431346945e-12 relative error 3.1133867544136264e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.470143160626759 y[1] (closed_form) 6.710026635784804 y[1] (numeric) 6.710026635782716 absolute error 2.0881074647149944e-12 relative error 3.1119212755118514e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.480026298284781 y[1] (closed_form) 6.710303647527057 y[1] (numeric) 6.710303647524971 absolute error 2.086331107875594e-12 relative error 3.109145602739554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.490074154903771 y[1] (closed_form) 6.7105622235672415 y[1] (numeric) 6.710562223565153 absolute error 2.0881074647149944e-12 relative error 3.111672904815098e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.50012201152276 y[1] (closed_form) 6.710798539446596 y[1] (numeric) 6.71079853944451 absolute error 2.086331107875594e-12 relative error 3.1089163169062186e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510005149180782 y[1] (closed_form) 6.711010226569277 y[1] (numeric) 6.711010226567192 absolute error 2.085442929455894e-12 relative error 3.107494786998692e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.520053005799771 y[1] (closed_form) 6.711205320345311 y[1] (numeric) 6.711205320343224 absolute error 2.0872192862952943e-12 relative error 3.110051304745212e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.53010086241876 y[1] (closed_form) 6.711381115656396 y[1] (numeric) 6.711381115654308 absolute error 2.0881074647149944e-12 relative error 3.111293232690706e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539984000076783 y[1] (closed_form) 6.711536169545797 y[1] (numeric) 6.711536169543711 absolute error 2.085442929455894e-12 relative error 3.107251271204915e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.550031856695772 y[1] (closed_form) 6.711676635382851 y[1] (numeric) 6.711676635380768 absolute error 2.0827783941967937e-12 relative error 3.103216241403422e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560079713314761 y[1] (closed_form) 6.711800781793676 y[1] (numeric) 6.711800781791593 absolute error 2.0836665726164938e-12 relative error 3.104482150704792e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.57012756993375 y[1] (closed_form) 6.711909610661898 y[1] (numeric) 6.711909610659816 absolute error 2.0818902157770935e-12 relative error 3.1017852392857044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.580010707591772 y[1] (closed_form) 6.712002686045766 y[1] (numeric) 6.7120026860436885 absolute error 2.077449323678593e-12 relative error 3.09512588246963e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.590058564210762 y[1] (closed_form) 6.71208410163936 y[1] (numeric) 6.712084101637279 absolute error 2.0810020373573934e-12 relative error 3.100381350777666e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.600106420829751 y[1] (closed_form) 6.712153197708797 y[1] (numeric) 6.712153197706721 absolute error 2.0756729668391927e-12 relative error 3.0924099997415535e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609989558487773 y[1] (closed_form) 6.712210120243855 y[1] (numeric) 6.71221012024178 absolute error 2.0747847884194925e-12 relative error 3.091060546751948e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620037415106762 y[1] (closed_form) 6.712257761503901 y[1] (numeric) 6.712257761501825 absolute error 2.0756729668391927e-12 relative error 3.0923618260663044e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6300852717257515 y[1] (closed_form) 6.71229609232935 y[1] (numeric) 6.712296092327275 absolute error 2.0747847884194925e-12 relative error 3.0910209559892724e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640133128344741 y[1] (closed_form) 6.712326123267647 y[1] (numeric) 6.712326123265571 absolute error 2.0756729668391927e-12 relative error 3.092330331871194e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650016266002763 y[1] (closed_form) 6.712348546245249 y[1] (numeric) 6.712348546243175 absolute error 2.0738966099997924e-12 relative error 3.089673600397119e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660064122621752 y[1] (closed_form) 6.712365107029133 y[1] (numeric) 6.712365107027058 absolute error 2.0756729668391927e-12 relative error 3.0923123723790967e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.670111979240741 y[1] (closed_form) 6.712376387580253 y[1] (numeric) 6.712376387578179 absolute error 2.0738966099997924e-12 relative error 3.0896607851685325e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6799951168987635 y[1] (closed_form) 6.712383315198263 y[1] (numeric) 6.712383315196187 absolute error 2.0756729668391927e-12 relative error 3.0923039840996976e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.690042973517753 y[1] (closed_form) 6.7123871207069605 y[1] (numeric) 6.712387120704886 absolute error 2.0747847884194925e-12 relative error 3.09097903787315e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700090830136742 y[1] (closed_form) 6.712388670382438 y[1] (numeric) 6.712388670380366 absolute error 2.072120253160392e-12 relative error 3.0870087459377303e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710138686755731 y[1] (closed_form) 6.712388978485509 y[1] (numeric) 6.712388978483437 absolute error 2.072120253160392e-12 relative error 3.087008604241998e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720021824413753 y[1] (closed_form) 6.7123890544997815 y[1] (numeric) 6.712389054497706 absolute error 2.0756729668391927e-12 relative error 3.092301340083565e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7300696810327425 y[1] (closed_form) 6.712389901555939 y[1] (numeric) 6.712389901553862 absolute error 2.077449323678593e-12 relative error 3.0949473349231965e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740117537651732 y[1] (closed_form) 6.712392533537409 y[1] (numeric) 6.712392533535329 absolute error 2.0801138589376933e-12 relative error 3.0989156974130055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.750000675309754 y[1] (closed_form) 6.712397847589618 y[1] (numeric) 6.712397847587534 absolute error 2.084554751036194e-12 relative error 3.10552919890579e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.760048531928743 y[1] (closed_form) 6.712407020914201 y[1] (numeric) 6.7124070209121145 absolute error 2.086331107875594e-12 relative error 3.108171333137431e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.770096388547732 y[1] (closed_form) 6.712421004057763 y[1] (numeric) 6.712421004055674 absolute error 2.0889956431346945e-12 relative error 3.112134417480465e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7801442451667215 y[1] (closed_form) 6.7124408100258535 y[1] (numeric) 6.712440810023764 absolute error 2.0898838215543947e-12 relative error 3.1134484172030197e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790027382824744 y[1] (closed_form) 6.7124669539925215 y[1] (numeric) 6.7124669539904325 absolute error 2.0889956431346945e-12 relative error 3.112113113483824e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.800075239443733 y[1] (closed_form) 6.712501305380987 y[1] (numeric) 6.712501305378901 absolute error 2.085442929455894e-12 relative error 3.1068045048782736e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810123096062722 y[1] (closed_form) 6.712544498108888 y[1] (numeric) 6.712544498106806 absolute error 2.0818902157770935e-12 relative error 3.101491865511835e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.820006233720744 y[1] (closed_form) 6.712596587851043 y[1] (numeric) 6.7125965878489655 absolute error 2.077449323678593e-12 relative error 3.094852038983715e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8300540903397335 y[1] (closed_form) 6.71266030626301 y[1] (numeric) 6.712660306260931 absolute error 2.079225680517993e-12 relative error 3.097468940262097e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840101946958723 y[1] (closed_form) 6.712735876583926 y[1] (numeric) 6.712735876581847 absolute error 2.079225680517993e-12 relative error 3.097434069722552e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849985084616745 y[1] (closed_form) 6.712822746912312 y[1] (numeric) 6.712822746910235 absolute error 2.0765611452588928e-12 relative error 3.0934246643322227e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.860032941235734 y[1] (closed_form) 6.712924804735288 y[1] (numeric) 6.712924804733213 absolute error 2.0756729668391927e-12 relative error 3.092054547333847e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.870080797854723 y[1] (closed_form) 6.713041714385838 y[1] (numeric) 6.713041714383763 absolute error 2.0747847884194925e-12 relative error 3.090677634213554e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880128654473713 y[1] (closed_form) 6.713174478478198 y[1] (numeric) 6.713174478476126 absolute error 2.072120253160392e-12 relative error 3.086647397298273e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890011792131735 y[1] (closed_form) 6.713321504022368 y[1] (numeric) 6.713321504020293 absolute error 2.0756729668391927e-12 relative error 3.091871833630384e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.900059648750724 y[1] (closed_form) 6.713488677588998 y[1] (numeric) 6.713488677586921 absolute error 2.077449323678593e-12 relative error 3.094440794416686e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910107505369713 y[1] (closed_form) 6.7136746870946835 y[1] (numeric) 6.71367468709261 absolute error 2.0738966099997924e-12 relative error 3.089063302376456e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.919990643027735 y[1] (closed_form) 6.7138769885446585 y[1] (numeric) 6.713876988542586 absolute error 2.072120253160392e-12 relative error 3.0863244243168025e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.930038499646725 y[1] (closed_form) 6.714103305443431 y[1] (numeric) 6.71410330544136 absolute error 2.071232074740692e-12 relative error 3.08489753659502e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940086356265714 y[1] (closed_form) 6.714351422851323 y[1] (numeric) 6.714351422849252 absolute error 2.070343896320992e-12 relative error 3.0834607334892784e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.950134212884703 y[1] (closed_form) 6.714622330136022 y[1] (numeric) 6.714622330133954 absolute error 2.0676793610618915e-12 relative error 3.0793680707579055e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.960017350542725 y[1] (closed_form) 6.714911986524947 y[1] (numeric) 6.714911986522881 absolute error 2.0659030042224913e-12 relative error 3.076589847146489e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.970065207161714 y[1] (closed_form) 6.715231018509776 y[1] (numeric) 6.715231018507709 absolute error 2.0667911826421914e-12 relative error 3.07776631503118e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980113063780704 y[1] (closed_form) 6.715575778190704 y[1] (numeric) 6.715575778188638 absolute error 2.0659030042224913e-12 relative error 3.0762857459395427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989996201438726 y[1] (closed_form) 6.715940935020668 y[1] (numeric) 6.715940935018603 absolute error 2.065014825802791e-12 relative error 3.0747959902902815e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.00016471896096738957 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 1.0 + sin ( x ) ; Iterations 30872 Total Elapsed Time 6 Seconds Elapsed Time(since restart) 6 Seconds Time to Timeout 2 Minutes 54.0 Seconds Percent Done 100.00379594579422%