##############ECHO OF PROBLEM################# ##############R:Temp/cospostode.ode################# diff ( y , x , 1 ) = cos ( 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(0.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=false # 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=12 $glob_max_minutes=(3.0) $glob_subiter_method=2 $glob_max_iter=1000000 $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) $glob_h_reason=1 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0) + sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0 y[1] (closed_form) 1.0 y[1] (numeric) 1.0 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 0.00999999400000118 y[1] (closed_form) 1.009999827334468 y[1] (numeric) 1.0099998273344666 absolute error 1.3322676295501878e-15 relative error 1.319077086444886e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.019999987333335884 y[1] (closed_form) 1.0199986540292023 y[1] (numeric) 1.0199986540291999 absolute error 2.4424906541753444e-15 relative error 2.394601840430876e-13% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.029999980666670686 y[1] (closed_form) 1.0299954808778657 y[1] (numeric) 1.0299954808778622 absolute error 3.552713678800501e-15 relative error 3.4492517149420123e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.039999974000005184 y[1] (closed_form) 1.0399893082074365 y[1] (numeric) 1.0399893082074334 absolute error 3.1086244689504383e-15 relative error 2.9890927189516755e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04999996733333964 y[1] (closed_form) 1.0499791366448428 y[1] (numeric) 1.0499791366448405 absolute error 2.220446049250313e-15 relative error 2.114752542936844e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.059999960666674096 y[1] (closed_form) 1.0599639672168975 y[1] (numeric) 1.0599639672168941 absolute error 3.3306690738754696e-15 relative error 3.1422474507512427e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.06999995400000855 y[1] (closed_form) 1.0699428014501953 y[1] (numeric) 1.069942801450193 absolute error 2.220446049250313e-15 relative error 2.0752941617446572e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07999994733334301 y[1] (closed_form) 1.079914641470959 y[1] (numeric) 1.0799146414709566 absolute error 2.4424906541753444e-15 relative error 2.2617441790106774e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08999994066667746 y[1] (closed_form) 1.0898784901048262 y[1] (numeric) 1.0898784901048246 absolute error 1.5543122344752192e-15 relative error 1.426133508081e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09999993400001192 y[1] (closed_form) 1.099833350976565 y[1] (numeric) 1.0998333509765639 absolute error 1.1102230246251565e-15 relative error 1.0094465890122049e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10999992733334638 y[1] (closed_form) 1.109778228609711 y[1] (numeric) 1.109778228609711 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11999992066668083 y[1] (closed_form) 1.1197121285261147 y[1] (numeric) 1.1197121285261138 absolute error 8.881784197001252e-16 relative error 7.932203260754539e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1299999140000153 y[1] (closed_form) 1.1296340573453867 y[1] (numeric) 1.1296340573453847 absolute error 1.9984014443252818e-15 relative error 1.769069754342816e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13999990733334974 y[1] (closed_form) 1.1395430228842365 y[1] (numeric) 1.139543022884235 absolute error 1.5543122344752192e-15 relative error 1.3639785451374908e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1499999006666842 y[1] (closed_form) 1.1494380342556887 y[1] (numeric) 1.1494380342556882 absolute error 4.440892098500626e-16 relative error 3.863533279874715e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15999989400001866 y[1] (closed_form) 1.1593181019681715 y[1] (numeric) 1.1593181019681702 absolute error 1.3322676295501878e-15 relative error 1.1491821160114728e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1699998873333531 y[1] (closed_form) 1.169182238024464 y[1] (numeric) 1.1691822380244632 absolute error 8.881784197001252e-16 relative error 7.596578110875654e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17999988066668757 y[1] (closed_form) 1.1790294560204961 y[1] (numeric) 1.1790294560204966 absolute error 4.440892098500626e-16 relative error 3.766565861288733e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18999987400002202 y[1] (closed_form) 1.188858771243987 y[1] (numeric) 1.1888587712439882 absolute error 1.1102230246251565e-15 relative error 9.338561076211361e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19999986733335648 y[1] (closed_form) 1.1986692007729163 y[1] (numeric) 1.1986692007729178 absolute error 1.5543122344752192e-15 relative error 1.2966982329011038e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20999986066669094 y[1] (closed_form) 1.208459763573814 y[1] (numeric) 1.2084597635738157 absolute error 1.7763568394002505e-15 relative error 1.469934616728138e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2199998540000254 y[1] (closed_form) 1.2182294805998641 y[1] (numeric) 1.2182294805998661 absolute error 1.9984014443252818e-15 relative error 1.6404146149387684e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22999984733335985 y[1] (closed_form) 1.2279773748888085 y[1] (numeric) 1.22797737488881 absolute error 1.5543122344752192e-15 relative error 1.2657498959343284e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2399998406666943 y[1] (closed_form) 1.237702471660641 y[1] (numeric) 1.237702471660643 absolute error 1.9984014443252818e-15 relative error 1.6146056827728567e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24999983400002876 y[1] (closed_form) 1.2474037984150854 y[1] (numeric) 1.2474037984150863 absolute error 8.881784197001252e-16 relative error 7.120215769974556e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25999982733336596 y[1] (closed_form) 1.2570803850288466 y[1] (numeric) 1.2570803850288446 absolute error 1.9984014443252818e-15 relative error 1.5897165114698883e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2699998206667032 y[1] (closed_form) 1.2667312638526147 y[1] (numeric) 1.2667312638526103 absolute error 4.440892098500626e-15 relative error 3.505788658751639e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2799998140000404 y[1] (closed_form) 1.2763554698078363 y[1] (numeric) 1.2763554698078303 absolute error 5.995204332975845e-15 relative error 4.697127465500236e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28999980733337766 y[1] (closed_form) 1.2859520404832194 y[1] (numeric) 1.2859520404832105 absolute error 8.881784197001252e-15 relative error 6.906777171615019e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2999998006667149 y[1] (closed_form) 1.295520016230973 y[1] (numeric) 1.2955200162309624 absolute error 1.0658141036401503e-14 relative error 8.226921161287025e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3099997940000521 y[1] (closed_form) 1.3050584402627714 y[1] (numeric) 1.305058440262759 absolute error 1.2434497875801753e-14 relative error 9.527924184987522e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31999978733338935 y[1] (closed_form) 1.3145663587454317 y[1] (numeric) 1.3145663587454177 absolute error 1.3988810110276972e-14 relative error 1.0641387570291482e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3299997806667266 y[1] (closed_form) 1.3240428208962967 y[1] (numeric) 1.3240428208962802 absolute error 1.6431300764452317e-14 relative error 1.2409946646083035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3399997740000638 y[1] (closed_form) 1.3334868790783116 y[1] (numeric) 1.3334868790782932 absolute error 1.84297022087776e-14 relative error 1.3820685076043614e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34999976733340105 y[1] (closed_form) 1.3428975888947878 y[1] (numeric) 1.3428975888947672 absolute error 2.0650148258027912e-14 relative error 1.5377306824285164e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3599997606667383 y[1] (closed_form) 1.3522740092838403 y[1] (numeric) 1.352274009283818 absolute error 2.2426505097428162e-14 relative error 1.6584290567933907e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3699997540000755 y[1] (closed_form) 1.3616152026124944 y[1] (numeric) 1.3616152026124704 absolute error 2.398081733190338e-14 relative error 1.7612037002739124e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37999974733341274 y[1] (closed_form) 1.3709202347704466 y[1] (numeric) 1.3709202347704204 absolute error 2.6201263381153694e-14 relative error 1.9112172040805102e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38999974066674997 y[1] (closed_form) 1.3801881752634761 y[1] (numeric) 1.3801881752634477 absolute error 2.842170943040401e-14 relative error 2.0592633627641636e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3999997340000872 y[1] (closed_form) 1.3894180973064927 y[1] (numeric) 1.3894180973064625 absolute error 3.019806626980426e-14 relative error 2.1734326282596884e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40999972733342444 y[1] (closed_form) 1.398609077916214 y[1] (numeric) 1.3986090779161822 absolute error 3.175237850427948e-14 relative error 2.2702825975924102e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41999972066676167 y[1] (closed_form) 1.4077601980034637 y[1] (numeric) 1.407760198003429 absolute error 3.4638958368304884e-14 relative error 2.46057236292311e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4299997140000989 y[1] (closed_form) 1.4168705424650792 y[1] (numeric) 1.416870542465041 absolute error 3.8191672047105385e-14 relative error 2.695494817801724e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43999970733343613 y[1] (closed_form) 1.425939200275421 y[1] (numeric) 1.4259392002753806 absolute error 4.04121180963557e-14 relative error 2.834070210605759e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44999970066677336 y[1] (closed_form) 1.4349652645774742 y[1] (numeric) 1.4349652645774311 absolute error 4.3076653355456074e-14 relative error 3.001930041013223e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4599996940001106 y[1] (closed_form) 1.4439478327735338 y[1] (numeric) 1.4439478327734874 absolute error 4.6407322429331543e-14 relative error 3.213919601249887e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4699996873334478 y[1] (closed_form) 1.4528860066154634 y[1] (numeric) 1.4528860066154146 absolute error 4.884981308350689e-14 relative error 3.3622605532077375e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47999968066678506 y[1] (closed_form) 1.461778892294519 y[1] (numeric) 1.4617788922944672 absolute error 5.1736392947532295e-14 relative error 3.539276235294582e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4899996740001223 y[1] (closed_form) 1.470625600530729 y[1] (numeric) 1.4706256005306748 absolute error 5.417888360170764e-14 relative error 3.684070478723831e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4999996673334595 y[1] (closed_form) 1.4794252466618216 y[1] (numeric) 1.4794252466617661 absolute error 5.551115123125783e-14 relative error 3.7522106207470305e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5099996606667913 y[1] (closed_form) 1.488176950731685 y[1] (numeric) 1.4881769507316331 absolute error 5.1958437552457326e-14 relative error 3.4914152867984662e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5199996540001229 y[1] (closed_form) 1.4968798375783776 y[1] (numeric) 1.4968798375783277 absolute error 4.9960036108132044e-14 relative error 3.3376116675441624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5299996473334546 y[1] (closed_form) 1.5055330369216267 y[1] (numeric) 1.5055330369215787 absolute error 4.796163466380676e-14 relative error 3.185691279274365e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5399996406667863 y[1] (closed_form) 1.514135683449863 y[1] (numeric) 1.5141356834498174 absolute error 4.551914400963142e-14 relative error 3.006279061194761e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.549999634000118 y[1] (closed_form) 1.5226869169067496 y[1] (numeric) 1.5226869169067065 absolute error 4.3076653355456074e-14 relative error 2.8289895235301426e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5599996273334497 y[1] (closed_form) 1.531185882177207 y[1] (numeric) 1.5311858821771653 absolute error 4.1744385725905886e-14 relative error 2.726278122846141e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5699996206667813 y[1] (closed_form) 1.5396317293729238 y[1] (numeric) 1.539631729372885 absolute error 3.885780586188048e-14 relative error 2.5238376892704635e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.579999614000113 y[1] (closed_form) 1.5480236139173444 y[1] (numeric) 1.5480236139173082 absolute error 3.6193270602780103e-14 relative error 2.338030910987939e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5899996073334447 y[1] (closed_form) 1.5563606966301267 y[1] (numeric) 1.5563606966300925 absolute error 3.419486915845482e-14 relative error 2.1971043879798852e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5999996006667764 y[1] (closed_form) 1.5646421438110587 y[1] (numeric) 1.5646421438110274 absolute error 3.1308289294429414e-14 relative error 2.000987217317988e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6099995940001081 y[1] (closed_form) 1.5728671273234274 y[1] (numeric) 1.5728671273233983 absolute error 2.90878432451791e-14 relative error 1.8493515911085472e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6199995873334397 y[1] (closed_form) 1.5810348246768324 y[1] (numeric) 1.5810348246768062 absolute error 2.6201263381153694e-14 relative error 1.6572224072616046e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6299995806667714 y[1] (closed_form) 1.589144419109434 y[1] (numeric) 1.5891444191094088 absolute error 2.5091040356528538e-14 relative error 1.5789024619039789e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6399995740001031 y[1] (closed_form) 1.5971950996696278 y[1] (numeric) 1.5971950996696058 absolute error 2.19824158875781e-14 relative error 1.3763137572939623e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6499995673334348 y[1] (closed_form) 1.60518606129714 y[1] (numeric) 1.6051860612971207 absolute error 1.9317880628477724e-14 relative error 1.2034667565495227e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6599995606667665 y[1] (closed_form) 1.613116504903533 y[1] (numeric) 1.6131165049035157 absolute error 1.7319479184152442e-14 relative error 1.07366573533312e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6699995540000981 y[1] (closed_form) 1.6209856374521119 y[1] (numeric) 1.6209856374520963 absolute error 1.554312234475219e-14 relative error 9.588686034987387e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6799995473334298 y[1] (closed_form) 1.6287926720372283 y[1] (numeric) 1.6287926720372146 absolute error 1.3766765505351941e-14 relative error 8.452128832414886e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6899995406667615 y[1] (closed_form) 1.636536827962971 y[1] (numeric) 1.6365368279629595 absolute error 1.1546319456101628e-14 relative error 7.055337380017017e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6999995340000932 y[1] (closed_form) 1.6442173308212331 y[1] (numeric) 1.6442173308212236 absolute error 9.547918011776346e-15 relative error 5.806968356797134e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7099995273334249 y[1] (closed_form) 1.6518334125691534 y[1] (numeric) 1.6518334125691452 absolute error 8.215650382226158e-15 relative error 4.973655527071628e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7199995206667565 y[1] (closed_form) 1.6593843116059188 y[1] (numeric) 1.6593843116059142 absolute error 4.6629367034256575e-15 relative error 2.810040248550356e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7299995140000882 y[1] (closed_form) 1.6668692728489254 y[1] (numeric) 1.6668692728489234 absolute error 1.9984014443252818e-15 relative error 1.1988951244567122e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7399995073334199 y[1] (closed_form) 1.6742875478092838 y[1] (numeric) 1.6742875478092833 absolute error 4.440892098500626e-16 relative error 2.652407051770347e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7499995006667516 y[1] (closed_form) 1.6816383946666695 y[1] (numeric) 1.681638394666671 absolute error 1.5543122344752192e-15 relative error 9.242844593729148e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7599994940000833 y[1] (closed_form) 1.688921078343502 y[1] (numeric) 1.6889210783435058 absolute error 3.774758283725532e-15 relative error 2.2350116486365512e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.769999487333415 y[1] (closed_form) 1.696134870578454 y[1] (numeric) 1.69613487057846 absolute error 5.995204332975845e-15 relative error 3.5346271319398236e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7799994806667466 y[1] (closed_form) 1.7032790499992747 y[1] (numeric) 1.7032790499992825 absolute error 7.771561172376096e-15 relative error 4.562705783517625e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7899994740000783 y[1] (closed_form) 1.7103529021949286 y[1] (numeric) 1.7103529021949393 absolute error 1.0658141036401503e-14 relative error 6.231544976901379e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.79999946733341 y[1] (closed_form) 1.717355719787034 y[1] (numeric) 1.717355719787046 absolute error 1.199040866595169e-14 relative error 6.981901610598531e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8099994606667417 y[1] (closed_form) 1.7242868025006008 y[1] (numeric) 1.7242868025006148 absolute error 1.3988810110276972e-14 relative error 8.112809359782883e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8199994540000733 y[1] (closed_form) 1.7311454572340579 y[1] (numeric) 1.7311454572340736 absolute error 1.5765166949677223e-14 relative error 9.106783536760718e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.829999447333405 y[1] (closed_form) 1.7379309981285616 y[1] (numeric) 1.7379309981285798 absolute error 1.8207657603852567e-14 relative error 1.047662860232019e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8399994406667367 y[1] (closed_form) 1.7446427466365824 y[1] (numeric) 1.7446427466366026 absolute error 2.020605904817785e-14 relative error 1.1581774599488746e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8499994340000684 y[1] (closed_form) 1.751280031589757 y[1] (numeric) 1.751280031589779 absolute error 2.19824158875781e-14 relative error 1.2552199243443181e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8599994273334001 y[1] (closed_form) 1.757842189266006 y[1] (numeric) 1.7578421892660305 absolute error 2.4424906541753444e-14 relative error 1.3894823261667283e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8699994206667317 y[1] (closed_form) 1.7643285634559058 y[1] (numeric) 1.764328563455932 absolute error 2.6201263381153694e-14 relative error 1.4850557840446434e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8799994140000634 y[1] (closed_form) 1.770738505528307 y[1] (numeric) 1.770738505528335 absolute error 2.7977620220553945e-14 relative error 1.579997279847185e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8899994073333951 y[1] (closed_form) 1.7770713744951985 y[1] (numeric) 1.7770713744952287 absolute error 3.019806626980426e-14 relative error 1.6993164542072733e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8999994006667268 y[1] (closed_form) 1.7833265370758058 y[1] (numeric) 1.7833265370758373 absolute error 3.1530333899354446e-14 relative error 1.7680628445677725e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9099993940000585 y[1] (closed_form) 1.789503367759917 y[1] (numeric) 1.7895033677599512 absolute error 3.419486915845482e-14 relative error 1.9108580500331566e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9199993873333902 y[1] (closed_form) 1.7956012488704352 y[1] (numeric) 1.7956012488704707 absolute error 3.552713678800501e-14 relative error 1.97856494087171e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9299993806667218 y[1] (closed_form) 1.8016195706251432 y[1] (numeric) 1.8016195706251816 absolute error 3.8413716652030416e-14 relative error 2.1321769189430626e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9399993740000535 y[1] (closed_form) 1.8075577311976838 y[1] (numeric) 1.807557731197724 absolute error 4.0190073491430667e-14 relative error 2.223446189173765e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9499993673333852 y[1] (closed_form) 1.8134151367777398 y[1] (numeric) 1.8134151367777804 absolute error 4.063416270128073e-14 relative error 2.2407534754277854e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9599993606667169 y[1] (closed_form) 1.8191912016304153 y[1] (numeric) 1.8191912016304568 absolute error 4.1522341120980855e-14 relative error 2.282461628209682e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9699993540000486 y[1] (closed_form) 1.8248853481548082 y[1] (numeric) 1.8248853481548513 absolute error 4.3076653355456074e-14 relative error 2.3605128617538666e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9799993473333802 y[1] (closed_form) 1.830497006941771 y[1] (numeric) 1.8304970069418156 absolute error 4.463096558993129e-14 relative error 2.4381883947735417e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9899993406667119 y[1] (closed_form) 1.8360256168308489 y[1] (numeric) 1.8360256168308944 absolute error 4.551914400963142e-14 relative error 2.479221618280125e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9999993340000436 y[1] (closed_form) 1.8414706249663977 y[1] (numeric) 1.841470624966444 absolute error 4.6407322429331543e-14 relative error 2.520122873541812e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0099993273333754 y[1] (closed_form) 1.8468314868528672 y[1] (numeric) 1.8468314868529148 absolute error 4.75175454539567e-14 relative error 2.5729226403287067e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.019999320666707 y[1] (closed_form) 1.852107666409251 y[1] (numeric) 1.8521076664093001 absolute error 4.907185768843192e-14 relative error 2.6495143116366086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299993140000387 y[1] (closed_form) 1.857298636022694 y[1] (numeric) 1.8572986360227444 absolute error 5.040412531798211e-14 relative error 2.7138406468611776e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0399993073333704 y[1] (closed_form) 1.862403876601252 y[1] (numeric) 1.862403876601304 absolute error 5.1958437552457326e-14 relative error 2.7898587521884667e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.049999300666702 y[1] (closed_form) 1.867422877625803 y[1] (numeric) 1.8674228776258563 absolute error 5.3290705182007514e-14 relative error 2.8537031339018427e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0599992940000338 y[1] (closed_form) 1.8723551372010956 y[1] (numeric) 1.8723551372011502 absolute error 5.46229728115577e-14 relative error 2.9173403979979604e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0699992873333655 y[1] (closed_form) 1.8772001621059404 y[1] (numeric) 1.8772001621059964 absolute error 5.595524044110789e-14 relative error 2.980781781860406e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0799992806666971 y[1] (closed_form) 1.8819574678425304 y[1] (numeric) 1.881957467842587 absolute error 5.6621374255882984e-14 relative error 3.0086426087404373e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0899992740000288 y[1] (closed_form) 1.8866265786848906 y[1] (numeric) 1.8866265786849492 absolute error 5.861977570020827e-14 relative error 3.107121269386033e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0999992673333605 y[1] (closed_form) 1.89120702772645 y[1] (numeric) 1.8912070277265103 absolute error 6.017408793468348e-14 relative error 3.1817821662297273e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1099992606666922 y[1] (closed_form) 1.895698356926733 y[1] (numeric) 1.895698356926795 absolute error 6.195044477408373e-14 relative error 3.2679484342918627e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199992540000239 y[1] (closed_form) 1.90010011715716 y[1] (numeric) 1.9001001171572236 absolute error 6.350475700855895e-14 relative error 3.342179521759715e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1299992473333555 y[1] (closed_form) 1.9044118682459636 y[1] (numeric) 1.9044118682460303 absolute error 6.661338147750939e-14 relative error 3.497845323704209e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1399992406666872 y[1] (closed_form) 1.9086331790222033 y[1] (numeric) 1.9086331790222701 absolute error 6.683542608243442e-14 relative error 3.5017428606514295e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.149999234000019 y[1] (closed_form) 1.9127636273588813 y[1] (numeric) 1.9127636273589494 absolute error 6.816769371198461e-14 relative error 3.5638325999595498e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1599992273333506 y[1] (closed_form) 1.9168028002151571 y[1] (numeric) 1.9168028002152264 absolute error 6.927791673660977e-14 relative error 3.614243297684742e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1699992206666823 y[1] (closed_form) 1.9207502936776495 y[1] (numeric) 1.9207502936777199 absolute error 7.038813976123492e-14 relative error 3.664616894394074e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.179999214000014 y[1] (closed_form) 1.924605713000828 y[1] (numeric) 1.924605713000899 absolute error 7.105427357601002e-14 relative error 3.691887283511324e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1899992073333456 y[1] (closed_form) 1.9283686726464875 y[1] (numeric) 1.9283686726465592 absolute error 7.172040739078511e-14 relative error 3.7192269511595125e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1999992006666773 y[1] (closed_form) 1.9320387963223007 y[1] (numeric) 1.9320387963223733 absolute error 7.260858581048524e-14 relative error 3.758132908547078e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.209999194000009 y[1] (closed_form) 1.9356157170194477 y[1] (numeric) 1.9356157170195225 absolute error 7.482903185973555e-14 relative error 3.865903298975109e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2199991873333407 y[1] (closed_form) 1.9390990770493168 y[1] (numeric) 1.9390990770493914 absolute error 7.460698725481052e-14 relative error 3.8475077492346745e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2299991806666724 y[1] (closed_form) 1.9424885280792719 y[1] (numeric) 1.9424885280793482 absolute error 7.638334409421077e-14 relative error 3.932241709027669e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.239999174000004 y[1] (closed_form) 1.9457837311674866 y[1] (numeric) 1.9457837311675634 absolute error 7.682743330406083e-14 relative error 3.948405574239421e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499991673333357 y[1] (closed_form) 1.9489843567968377 y[1] (numeric) 1.9489843567969152 absolute error 7.749356711883593e-14 relative error 3.976100005553501e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2599991606666674 y[1] (closed_form) 1.9520900849078555 y[1] (numeric) 1.952090084907934 absolute error 7.838174553853605e-14 relative error 4.01527297047031e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.269999153999999 y[1] (closed_form) 1.9551006049307316 y[1] (numeric) 1.9551006049308108 absolute error 7.926992395823618e-14 relative error 4.054518921344443e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799991473333308 y[1] (closed_form) 1.958015615816374 y[1] (numeric) 1.9580156158164534 absolute error 7.949196856316121e-14 relative error 4.0598230126994096e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2899991406666624 y[1] (closed_form) 1.9608348260665114 y[1] (numeric) 1.9608348260665922 absolute error 8.08242361927114e-14 relative error 4.121929859581648e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2999991339999941 y[1] (closed_form) 1.9635579537628445 y[1] (numeric) 1.963557953762927 absolute error 8.260059303211165e-14 relative error 4.206679658923274e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099991273333258 y[1] (closed_form) 1.9661847265952357 y[1] (numeric) 1.9661847265953192 absolute error 8.348877145181177e-14 relative error 4.246232326114443e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3199991206666575 y[1] (closed_form) 1.9687148818889413 y[1] (numeric) 1.9687148818890263 absolute error 8.504308368628699e-14 relative error 4.319725749453873e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3299991139999892 y[1] (closed_form) 1.9711481666308774 y[1] (numeric) 1.971148166630963 absolute error 8.548717289613705e-14 relative error 4.3369227307885885e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399991073333208 y[1] (closed_form) 1.9734843374949222 y[1] (numeric) 1.9734843374950086 absolute error 8.637535131583718e-14 relative error 4.376794366935755e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3499991006666525 y[1] (closed_form) 1.9757231608662473 y[1] (numeric) 1.9757231608663357 absolute error 8.837375276016246e-14 relative error 4.472982577246063e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3599990939999842 y[1] (closed_form) 1.9778644128646803 y[1] (numeric) 1.9778644128647695 absolute error 8.926193117986259e-14 relative error 4.513046020711715e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3699990873333159 y[1] (closed_form) 1.9799078793670906 y[1] (numeric) 1.9799078793671805 absolute error 8.992806499463768e-14 relative error 4.542032785049809e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3799990806666476 y[1] (closed_form) 1.9818533560288036 y[1] (numeric) 1.9818533560288942 absolute error 9.059419880941277e-14 relative error 4.5711857809168855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3899990739999792 y[1] (closed_form) 1.9837006483040338 y[1] (numeric) 1.9837006483041262 absolute error 9.237055564881302e-14 relative error 4.656476556973719e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.399999067333311 y[1] (closed_form) 1.985449571465339 y[1] (numeric) 1.9854495714654308 absolute error 9.170442183403793e-14 relative error 4.61882402615527e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099990606666426 y[1] (closed_form) 1.9870999506220943 y[1] (numeric) 1.9870999506221858 absolute error 9.14823772291129e-14 relative error 4.603813572662655e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199990539999743 y[1] (closed_form) 1.988651620737979 y[1] (numeric) 1.9886516207380713 absolute error 9.237055564881302e-14 relative error 4.644883733558861e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.429999047333306 y[1] (closed_form) 1.9901044266474814 y[1] (numeric) 1.9901044266475738 absolute error 9.237055564881302e-14 relative error 4.641492899165092e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4399990406666376 y[1] (closed_form) 1.9914582230714153 y[1] (numeric) 1.991458223071507 absolute error 9.170442183403793e-14 relative error 4.604888054975248e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4499990339999693 y[1] (closed_form) 1.9927128746314464 y[1] (numeric) 1.9927128746315383 absolute error 9.192646643896296e-14 relative error 4.613131555943042e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.459999027333301 y[1] (closed_form) 1.993868255863632 y[1] (numeric) 1.993868255863724 absolute error 9.192646643896296e-14 relative error 4.610458397570784e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4699990206666327 y[1] (closed_form) 1.9949242512309655 y[1] (numeric) 1.9949242512310568 absolute error 9.126033262418787e-14 relative error 4.574626458517199e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799990139999644 y[1] (closed_form) 1.9958807551349311 y[1] (numeric) 1.9958807551350226 absolute error 9.14823772291129e-14 relative error 4.583559262934436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.489999007333296 y[1] (closed_form) 1.9967376719260628 y[1] (numeric) 1.9967376719261538 absolute error 9.103828801926284e-14 relative error 4.559351451082048e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4999990006666277 y[1] (closed_form) 1.99749491591351 y[1] (numeric) 1.997494915913601 absolute error 9.103828801926284e-14 relative error 4.5576230154072004e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5099989939999594 y[1] (closed_form) 1.998152411373606 y[1] (numeric) 1.998152411373697 absolute error 9.103828801926284e-14 relative error 4.5561233217780246e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.519998987333291 y[1] (closed_form) 1.9987100925574404 y[1] (numeric) 1.9987100925575316 absolute error 9.126033262418787e-14 relative error 4.565961465047496e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5299989806666228 y[1] (closed_form) 1.9991679036974337 y[1] (numeric) 1.9991679036975238 absolute error 9.015010959956271e-14 relative error 4.509381599856186e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5399989739999544 y[1] (closed_form) 1.9995257990129145 y[1] (numeric) 1.9995257990130035 absolute error 8.903988657493755e-14 relative error 4.4530501491350086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5499989673332861 y[1] (closed_form) 1.9997837427146974 y[1] (numeric) 1.9997837427147869 absolute error 8.948397578478762e-14 relative error 4.474682630598523e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5599989606666178 y[1] (closed_form) 1.9999417090086613 y[1] (numeric) 1.999941709008751 absolute error 8.970602038971265e-14 relative error 4.485431749617267e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5699989539999495 y[1] (closed_form) 1.9999996820983297 y[1] (numeric) 1.9999996820984198 absolute error 9.015010959956271e-14 relative error 4.50750619645001e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799989473332812 y[1] (closed_form) 1.9999576561864498 y[1] (numeric) 1.999957656186539 absolute error 8.926193117986259e-14 relative error 4.463191053258029e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899989406666128 y[1] (closed_form) 1.9998156354755716 y[1] (numeric) 1.99981563547566 absolute error 8.837375276016246e-14 relative error 4.41909500018218e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5999989339999445 y[1] (closed_form) 1.9995736341676298 y[1] (numeric) 1.999573634167717 absolute error 8.72635297355373e-14 relative error 4.364106839799517e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6099989273332762 y[1] (closed_form) 1.9992316764625202 y[1] (numeric) 1.999231676462608 absolute error 8.770761894538737e-14 relative error 4.387066290415073e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6199989206666079 y[1] (closed_form) 1.9987897965556836 y[1] (numeric) 1.9987897965557717 absolute error 8.815170815523743e-14 relative error 4.410254060088786e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6299989139999396 y[1] (closed_form) 1.9982480386346833 y[1] (numeric) 1.9982480386347712 absolute error 8.79296635503124e-14 relative error 4.400337788415444e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6399989073332712 y[1] (closed_form) 1.9976064568747873 y[1] (numeric) 1.9976064568748741 absolute error 8.681944052568724e-14 relative error 4.3461734030192514e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.649998900666603 y[1] (closed_form) 1.996865115433552 y[1] (numeric) 1.9968651154336396 absolute error 8.770761894538737e-14 relative error 4.392265570043003e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6599988939999346 y[1] (closed_form) 1.9960240884444045 y[1] (numeric) 1.9960240884444909 absolute error 8.637535131583718e-14 relative error 4.327370186356496e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6699988873332663 y[1] (closed_form) 1.9950834600092309 y[1] (numeric) 1.9950834600093175 absolute error 8.659739592076221e-14 relative error 4.340540015321541e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.679998880666598 y[1] (closed_form) 1.9940433241899655 y[1] (numeric) 1.9940433241900508 absolute error 8.526512829121202e-14 relative error 4.2759917629096164e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6899988739999297 y[1] (closed_form) 1.9929037849991844 y[1] (numeric) 1.992903784999269 absolute error 8.459899447643693e-14 relative error 4.245011480896533e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6999988673332613 y[1] (closed_form) 1.9916649563897058 y[1] (numeric) 1.9916649563897897 absolute error 8.393286066166183e-14 relative error 4.2142058277616666e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.709998860666593 y[1] (closed_form) 1.9903269622431923 y[1] (numeric) 1.9903269622432753 absolute error 8.304468224196171e-14 relative error 4.1724140715235274e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7199988539999247 y[1] (closed_form) 1.988889936357766 y[1] (numeric) 1.9888899363578485 absolute error 8.260059303211165e-14 relative error 4.153100255682186e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7299988473332564 y[1] (closed_form) 1.9873540224346256 y[1] (numeric) 1.9873540224347082 absolute error 8.260059303211165e-14 relative error 4.1563099528146e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.739998840666588 y[1] (closed_form) 1.985719374063679 y[1] (numeric) 1.985719374063761 absolute error 8.215650382226158e-14 relative error 4.137367288416604e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7499988339999197 y[1] (closed_form) 1.9839861547081832 y[1] (numeric) 1.983986154708265 absolute error 8.171241461241152e-14 relative error 4.118598026427774e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7599988273332514 y[1] (closed_form) 1.9821545376883982 y[1] (numeric) 1.9821545376884804 absolute error 8.215650382226158e-14 relative error 4.144808200377406e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.769998820666583 y[1] (closed_form) 1.9802247061642557 y[1] (numeric) 1.9802247061643368 absolute error 8.104628079763643e-14 relative error 4.092782023441424e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7799988139999148 y[1] (closed_form) 1.9781968531170424 y[1] (numeric) 1.9781968531171228 absolute error 8.038014698286133e-14 relative error 4.063303753426078e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7899988073332465 y[1] (closed_form) 1.9760711813301026 y[1] (numeric) 1.9760711813301821 absolute error 7.949196856316121e-14 relative error 4.022727992503529e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7999988006665781 y[1] (closed_form) 1.9738479033685605 y[1] (numeric) 1.973847903368639 absolute error 7.838174553853605e-14 relative error 3.971012427288348e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8099987939999098 y[1] (closed_form) 1.971527241558063 y[1] (numeric) 1.971527241558141 absolute error 7.815970093361102e-14 relative error 3.9644240914390205e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8199987873332415 y[1] (closed_form) 1.9691094279625476 y[1] (numeric) 1.9691094279626256 absolute error 7.793765632868599e-14 relative error 3.958015497865381e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8299987806665732 y[1] (closed_form) 1.9665947043610372 y[1] (numeric) 1.9665947043611152 absolute error 7.793765632868599e-14 relative error 3.963076690680329e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8399987739999049 y[1] (closed_form) 1.9639833222234606 y[1] (numeric) 1.9639833222235374 absolute error 7.682743330406083e-14 relative error 3.91181699125037e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8499987673332365 y[1] (closed_form) 1.9612755426855073 y[1] (numeric) 1.9612755426855835 absolute error 7.616129948928574e-14 relative error 3.8832534150199354e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8599987606665682 y[1] (closed_form) 1.9584716365225137 y[1] (numeric) 1.9584716365225878 absolute error 7.416289804496046e-14 relative error 3.786774169303009e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8699987539999 y[1] (closed_form) 1.9555718841223855 y[1] (numeric) 1.9555718841224592 absolute error 7.37188088351104e-14 relative error 3.769680339221775e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8799987473332316 y[1] (closed_form) 1.95257657545756 y[1] (numeric) 1.9525765754576327 absolute error 7.283063041541027e-14 relative error 3.7299756296801525e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8899987406665633 y[1] (closed_form) 1.9494860100560079 y[1] (numeric) 1.9494860100560802 absolute error 7.238654120556021e-14 relative error 3.713109036544488e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.899998733999895 y[1] (closed_form) 1.9463004969712818 y[1] (numeric) 1.9463004969713529 absolute error 7.105427357601002e-14 relative error 3.650735006571723e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9099987273332266 y[1] (closed_form) 1.943020354751611 y[1] (numeric) 1.9430203547516811 absolute error 7.016609515630989e-14 relative error 3.6111868300669286e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9199987206665583 y[1] (closed_form) 1.9396459114080469 y[1] (numeric) 1.9396459114081162 absolute error 6.927791673660977e-14 relative error 3.5716785382915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.92999871399989 y[1] (closed_form) 1.9361775043816614 y[1] (numeric) 1.93617750438173 absolute error 6.861178292183467e-14 relative error 3.543672146100394e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9399987073332217 y[1] (closed_form) 1.9326154805098046 y[1] (numeric) 1.9326154805098719 absolute error 6.727951529228449e-14 relative error 3.481267534633264e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9499987006665533 y[1] (closed_form) 1.9289601959914207 y[1] (numeric) 1.9289601959914868 absolute error 6.616929226765933e-14 relative error 3.4303088474902685e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.959998693999885 y[1] (closed_form) 1.9252120163514277 y[1] (numeric) 1.9252120163514927 absolute error 6.505906924303417e-14 relative error 3.379319715982819e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9699986873332167 y[1] (closed_form) 1.9213713164041666 y[1] (numeric) 1.921371316404231 absolute error 6.439293542825908e-14 relative error 3.3514050552586587e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9799986806665484 y[1] (closed_form) 1.9174384802159192 y[1] (numeric) 1.9174384802159823 absolute error 6.306066779870889e-14 relative error 3.2887974477078264e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.98999867399988 y[1] (closed_form) 1.913413901066503 y[1] (numeric) 1.913413901066565 absolute error 6.195044477408373e-14 relative error 3.237691789505326e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9999986673332117 y[1] (closed_form) 1.9092979814099422 y[1] (numeric) 1.9092979814100024 absolute error 6.017408793468348e-14 relative error 3.1516341880929067e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0099986606665654 y[1] (closed_form) 1.9050911328342148 y[1] (numeric) 1.905091132834283 absolute error 6.816769371198461e-14 relative error 3.5781854493528163e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0199986539999193 y[1] (closed_form) 1.9007937760201203 y[1] (numeric) 1.9007937760201963 absolute error 7.593925488436071e-14 relative error 3.995133814219564e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.029998647333273 y[1] (closed_form) 1.896406340699186 y[1] (numeric) 1.8964063406992706 absolute error 8.459899447643693e-14 relative error 4.461016221093531e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.039998640666627 y[1] (closed_form) 1.8919292656107032 y[1] (numeric) 1.8919292656107953 absolute error 9.214851104388799e-14 relative error 4.870610794962412e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.049998633999981 y[1] (closed_form) 1.8873629984578528 y[1] (numeric) 1.8873629984579543 absolute error 1.0147438445073931e-13 relative error 5.376516575436368e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.059998627333335 y[1] (closed_form) 1.8827079958629358 y[1] (numeric) 1.8827079958630473 absolute error 1.1146639167236572e-13 relative error 5.9205353096338925e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0699986206666887 y[1] (closed_form) 1.8779647233217123 y[1] (numeric) 1.877964723321832 absolute error 1.1968204205459188e-13 relative error 6.372965400697214e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799986140000426 y[1] (closed_form) 1.873133655156851 y[1] (numeric) 1.8731336551569802 absolute error 1.2922996006636822e-13 relative error 6.899131821725068e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899986073333965 y[1] (closed_form) 1.8682152744704983 y[1] (numeric) 1.8682152744706366 absolute error 1.383337888682945e-13 relative error 7.404595752890521e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0999986006667504 y[1] (closed_form) 1.8632100730959689 y[1] (numeric) 1.8632100730961152 absolute error 1.4632739464559563e-13 relative error 7.853510280912844e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1099985940001043 y[1] (closed_form) 1.8581185515485612 y[1] (numeric) 1.8581185515487173 absolute error 1.56097357262297e-13 relative error 8.400828737876012e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.119998587333458 y[1] (closed_form) 1.8529412189755088 y[1] (numeric) 1.8529412189756742 absolute error 1.6542323066914832e-13 relative error 8.927602720209917e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.129998580666812 y[1] (closed_form) 1.8476785931050639 y[1] (numeric) 1.847678593105239 absolute error 1.751931932858497e-13 relative error 9.481800240562064e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.139998574000166 y[1] (closed_form) 1.8423312001947267 y[1] (numeric) 1.8423312001949117 absolute error 1.8496315590255108e-13 relative error 1.0039625659219214e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.14999856733352 y[1] (closed_form) 1.8368995749786188 y[1] (numeric) 1.8368995749788148 absolute error 1.9606538614880265e-13 relative error 1.0673712859402497e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1599985606668737 y[1] (closed_form) 1.8313842606140116 y[1] (numeric) 1.8313842606142183 absolute error 2.0672352718520415e-13 relative error 1.1287829191886555e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699985540002276 y[1] (closed_form) 1.8257858086270096 y[1] (numeric) 1.8257858086272272 absolute error 2.1760371282653068e-13 relative error 1.1918359305803162e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799985473335814 y[1] (closed_form) 1.8201047788574 y[1] (numeric) 1.8201047788576283 absolute error 2.282618538629322e-13 relative error 1.2541138098995996e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899985406669353 y[1] (closed_form) 1.8143417394026686 y[1] (numeric) 1.8143417394029075 absolute error 2.389199948993337e-13 relative error 1.3168411976124893e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199998534000289 y[1] (closed_form) 1.8084972665611891 y[1] (numeric) 1.8084972665614394 absolute error 2.502442697505103e-13 relative error 1.3837138400896966e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209998527333643 y[1] (closed_form) 1.8025719447745965 y[1] (numeric) 1.8025719447748587 absolute error 2.62234678416462e-13 relative error 1.4547806492642005e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.219998520666997 y[1] (closed_form) 1.7965663665693417 y[1] (numeric) 1.7965663665696159 absolute error 2.7422508708241367e-13 relative error 1.5263843973994905e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.229998514000351 y[1] (closed_form) 1.7904811324974397 y[1] (numeric) 1.7904811324977263 absolute error 2.866595849582154e-13 relative error 1.6010198586028683e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2399985073337048 y[1] (closed_form) 1.7843168510764154 y[1] (numeric) 1.7843168510767133 absolute error 2.97983859809392e-13 relative error 1.6700165087250558e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2499985006670586 y[1] (closed_form) 1.778074138728452 y[1] (numeric) 1.778074138728762 absolute error 3.099742684753437e-13 relative error 1.743314644332067e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2599984940004125 y[1] (closed_form) 1.77175361971875 y[1] (numeric) 1.7717536197190729 absolute error 3.228528555609955e-13 relative error 1.822222074038971e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699984873337664 y[1] (closed_form) 1.7653559260931004 y[1] (numeric) 1.7653559260934357 absolute error 3.352873534367973e-13 relative error 1.8992620608741484e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799984806671203 y[1] (closed_form) 1.7588816976146815 y[1] (numeric) 1.758881697615029 absolute error 3.47499806707674e-13 relative error 1.9756860690456787e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289998474000474 y[1] (closed_form) 1.7523315817000826 y[1] (numeric) 1.7523315817004435 absolute error 3.608224830031759e-13 relative error 2.0590993552322555e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299998467333828 y[1] (closed_form) 1.7457062333545634 y[1] (numeric) 1.7457062333549378 absolute error 3.743672039036028e-13 relative error 2.144502876547652e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.309998460667182 y[1] (closed_form) 1.739006315106554 y[1] (numeric) 1.7390063151069424 absolute error 3.8835601401387976e-13 relative error 2.23320646187581e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.319998454000536 y[1] (closed_form) 1.7322324969414025 y[1] (numeric) 1.732232496941804 absolute error 4.014566457044566e-13 relative error 2.3175679154692417e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299984473338897 y[1] (closed_form) 1.725385456234378 y[1] (numeric) 1.725385456234792 absolute error 4.1389114358025836e-13 relative error 2.3988329221434855e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3399984406672436 y[1] (closed_form) 1.7184658776829318 y[1] (numeric) 1.7184658776833595 absolute error 4.276579090856103e-13 relative error 2.488602855834627e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3499984340005975 y[1] (closed_form) 1.7114744532382304 y[1] (numeric) 1.711474453238671 absolute error 4.405364961712621e-13 relative error 2.5740173646047474e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599984273339514 y[1] (closed_form) 1.70441188203596 y[1] (numeric) 1.7044118820364145 absolute error 4.545253062815391e-13 relative error 2.666757437401797e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699984206673053 y[1] (closed_form) 1.6972788703264134 y[1] (numeric) 1.6972788703268826 absolute error 4.691802502065912e-13 relative error 2.7643085553546094e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.379998414000659 y[1] (closed_form) 1.690076131403867 y[1] (numeric) 1.69007613140435 absolute error 4.829470157119431e-13 relative error 2.857545921974424e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389998407334013 y[1] (closed_form) 1.68280438553525 y[1] (numeric) 1.6828043855357466 absolute error 4.96713781217295e-13 relative error 2.951702440799768e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399998400667367 y[1] (closed_form) 1.6754643598881196 y[1] (numeric) 1.6754643598886307 absolute error 5.111466805374221e-13 relative error 3.0507762073289e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.409998394000721 y[1] (closed_form) 1.668056788457946 y[1] (numeric) 1.6680567884584725 absolute error 5.264677582772492e-13 relative error 3.156174069852552e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199983873340747 y[1] (closed_form) 1.660582411994711 y[1] (numeric) 1.6605824119952517 absolute error 5.406786129924512e-13 relative error 3.255957723549425e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4299983806674286 y[1] (closed_form) 1.6530419779288361 y[1] (numeric) 1.6530419779293912 absolute error 5.551115123125783e-13 relative error 3.3581210866048313e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4399983740007825 y[1] (closed_form) 1.6454362402964384 y[1] (numeric) 1.6454362402970084 absolute error 5.699885008425554e-13 relative error 3.464057049939944e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499983673341363 y[1] (closed_form) 1.6377659596639293 y[1] (numeric) 1.637765959664514 absolute error 5.846434447676074e-13 relative error 3.569761853443191e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599983606674902 y[1] (closed_form) 1.6300319030519574 y[1] (numeric) 1.6300319030525567 absolute error 5.992983886926595e-13 relative error 3.676605271164173e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.469998354000844 y[1] (closed_form) 1.622234843858708 y[1] (numeric) 1.6222348438593208 absolute error 6.128431095930864e-13 relative error 3.777770597846086e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479998347334198 y[1] (closed_form) 1.6143755617825626 y[1] (numeric) 1.6143755617831916 absolute error 6.290523657526137e-13 relative error 3.8965676924520966e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489998340667552 y[1] (closed_form) 1.6064548427441323 y[1] (numeric) 1.6064548427447747 absolute error 6.423750420481156e-13 relative error 3.998712101678601e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999983340009058 y[1] (closed_form) 1.5984734788076638 y[1] (numeric) 1.5984734788083212 absolute error 6.574740751830177e-13 relative error 4.11313721434679e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099983273342596 y[1] (closed_form) 1.5904322681018357 y[1] (numeric) 1.590432268102509 absolute error 6.732392421326949e-13 relative error 4.233058242311689e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199983206676135 y[1] (closed_form) 1.5823320147399453 y[1] (numeric) 1.582332014740634 absolute error 6.885603198725221e-13 relative error 4.351553994094509e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5299983140009674 y[1] (closed_form) 1.574173528739499 y[1] (numeric) 1.5741735287402034 absolute error 7.045475314271243e-13 relative error 4.475666237325707e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5399983073343213 y[1] (closed_form) 1.5659576259412096 y[1] (numeric) 1.5659576259419303 absolute error 7.207567875866516e-13 relative error 4.602658307267063e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.549998300667675 y[1] (closed_form) 1.5576851279274155 y[1] (numeric) 1.557685127928152 absolute error 7.365219545363288e-13 relative error 4.7283108847313137e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.559998294001029 y[1] (closed_form) 1.5493568619399212 y[1] (numeric) 1.5493568619406741 absolute error 7.529532553007812e-13 relative error 4.859779394903394e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569998287334383 y[1] (closed_form) 1.5409736607972748 y[1] (numeric) 1.5409736607980449 absolute error 7.700506898800086e-13 relative error 4.997169708154498e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579998280667737 y[1] (closed_form) 1.5325363628114872 y[1] (numeric) 1.5325363628122732 absolute error 7.860379014346108e-13 relative error 5.129000006189733e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899982740010907 y[1] (closed_form) 1.5240458117042004 y[1] (numeric) 1.5240458117050035 absolute error 8.031353360138382e-13 relative error 5.269758493124073e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999982673344446 y[1] (closed_form) 1.515502856522318 y[1] (numeric) 1.5155028565231365 absolute error 8.184564137536654e-13 relative error 5.400560020268179e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099982606677985 y[1] (closed_form) 1.5069083515531003 y[1] (numeric) 1.5069083515539348 absolute error 8.344436253082677e-13 relative error 5.537454381006287e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6199982540011524 y[1] (closed_form) 1.4982631562387356 y[1] (numeric) 1.4982631562395865 absolute error 8.5087492607272e-13 relative error 5.679075284803574e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299982473345063 y[1] (closed_form) 1.4895681350903989 y[1] (numeric) 1.4895681350912668 absolute error 8.679723606519474e-13 relative error 5.827006769309495e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.63999824066786 y[1] (closed_form) 1.4808241576017995 y[1] (numeric) 1.4808241576026835 absolute error 8.839595722065496e-13 relative error 5.969375686294351e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.649998234001214 y[1] (closed_form) 1.4720320981622341 y[1] (numeric) 1.472032098163134 absolute error 8.999467837611519e-13 relative error 6.11363559860342e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.659998227334568 y[1] (closed_form) 1.4631928359691475 y[1] (numeric) 1.4631928359700637 absolute error 9.161560399206792e-13 relative error 6.261348589188943e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669998220667922 y[1] (closed_form) 1.4543072549402147 y[1] (numeric) 1.4543072549411478 absolute error 9.330314298949816e-13 relative error 6.415641720314031e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6799982140012757 y[1] (closed_form) 1.445376243624949 y[1] (numeric) 1.4453762436258997 absolute error 9.50572953684059e-13 relative error 6.576647138602872e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899982073346296 y[1] (closed_form) 1.4364006951158488 y[1] (numeric) 1.4364006951168178 absolute error 9.690026558928366e-13 relative error 6.746046971347953e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999982006679835 y[1] (closed_form) 1.4273815069590885 y[1] (numeric) 1.4273815069600735 absolute error 9.849898674474389e-13 relative error 6.900676957388032e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7099981940013373 y[1] (closed_form) 1.4183195810647655 y[1] (numeric) 1.418319581065768 absolute error 1.0025313912365164e-12 relative error 7.06844497263369e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7199981873346912 y[1] (closed_form) 1.4092158236167092 y[1] (numeric) 1.4092158236177295 absolute error 1.0202949596305189e-12 relative error 7.240161106138896e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.729998180668045 y[1] (closed_form) 1.4000711449818644 y[1] (numeric) 1.4000711449829026 absolute error 1.0382805726294464e-12 relative error 7.41591294378755e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.739998174001399 y[1] (closed_form) 1.3908864596192547 y[1] (numeric) 1.390886459620311 absolute error 1.056266185628374e-12 relative error 7.594194179714132e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.749998167334753 y[1] (closed_form) 1.381662685988538 y[1] (numeric) 1.381662685989613 absolute error 1.0751399770470016e-12 relative error 7.781493905495257e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7599981606681068 y[1] (closed_form) 1.3724007464581607 y[1] (numeric) 1.3724007464592538 absolute error 1.0931255900459291e-12 relative error 7.965061173764484e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7699981540014607 y[1] (closed_form) 1.363101567213123 y[1] (numeric) 1.363101567214234 absolute error 1.1108891584399316e-12 relative error 8.149716684070413e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799981473348145 y[1] (closed_form) 1.3537660781623604 y[1] (numeric) 1.3537660781634886 absolute error 1.128208637624084e-12 relative error 8.333852175964889e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899981406681684 y[1] (closed_form) 1.3443952128457533 y[1] (numeric) 1.344395212846899 absolute error 1.1457501614131615e-12 relative error 8.522420717252414e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999981340015223 y[1] (closed_form) 1.334989908340775 y[1] (numeric) 1.3349899083419388 absolute error 1.163735774412089e-12 relative error 8.717187801505306e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809998127334876 y[1] (closed_form) 1.3255511051687845 y[1] (numeric) 1.3255511051699673 absolute error 1.1828316104356418e-12 relative error 8.923319559867365e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.81999812066823 y[1] (closed_form) 1.3160797472009749 y[1] (numeric) 1.316079747202175 absolute error 1.2001510896197942e-12 relative error 9.119136527799804e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.829998114001584 y[1] (closed_form) 1.306576781563987 y[1] (numeric) 1.306576781565207 absolute error 1.219913059458122e-12 relative error 9.336711601425156e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.839998107334938 y[1] (closed_form) 1.2970431585451987 y[1] (numeric) 1.2970431585464368 absolute error 1.2381207170619746e-12 relative error 9.545717186856655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8499981006682917 y[1] (closed_form) 1.287479831497696 y[1] (numeric) 1.287479831498952 absolute error 1.255884285455977e-12 relative error 9.754593856394903e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8599980940016456 y[1] (closed_form) 1.2778877567449392 y[1] (numeric) 1.277887756746213 absolute error 1.2738698984549046e-12 relative error 9.96855859782029e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8699980873349995 y[1] (closed_form) 1.268267893485131 y[1] (numeric) 1.2682678934864224 absolute error 1.291411422243982e-12 relative error 1.018248138960022e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799980806683534 y[1] (closed_form) 1.2586212036952986 y[1] (numeric) 1.258621203696608 absolute error 1.3093970352429096e-12 relative error 1.0403424250271119e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899980740017073 y[1] (closed_form) 1.2489486520350956 y[1] (numeric) 1.2489486520364235 absolute error 1.3278267374516872e-12 relative error 1.0631555871316758e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899998067335061 y[1] (closed_form) 1.2392512057503384 y[1] (numeric) 1.2392512057516831 absolute error 1.3447021274259896e-12 relative error 1.0850924503331857e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909998060668415 y[1] (closed_form) 1.2295298345762808 y[1] (numeric) 1.2295298345776446 absolute error 1.3637979634495423e-12 relative error 1.1092028229795114e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.919998054001769 y[1] (closed_form) 1.2197855106406432 y[1] (numeric) 1.2197855106420252 absolute error 1.3820056210533949e-12 relative error 1.1329906848356907e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.929998047335123 y[1] (closed_form) 1.2100192083663996 y[1] (numeric) 1.2100192083678003 absolute error 1.4006573678670975e-12 relative error 1.1575496968829703e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399980406684767 y[1] (closed_form) 1.200231904374337 y[1] (numeric) 1.2002319043757554 absolute error 1.4184209362611e-12 relative error 1.1817890618400964e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9499980340018306 y[1] (closed_form) 1.1904245773853932 y[1] (numeric) 1.1904245773868307 absolute error 1.4375167722846527e-12 relative error 1.2075664427577295e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9599980273351845 y[1] (closed_form) 1.180598208122787 y[1] (numeric) 1.1805982081242443 absolute error 1.4572787421229805e-12 relative error 1.234356220513099e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699980206685384 y[1] (closed_form) 1.1707537792139457 y[1] (numeric) 1.1707537792154212 absolute error 1.475486399726833e-12 relative error 1.2602875394666566e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799980140018922 y[1] (closed_form) 1.1608922750922441 y[1] (numeric) 1.1608922750937374 absolute error 1.4932499681208355e-12 relative error 1.286295033707742e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.989998007335246 y[1] (closed_form) 1.1510146818985616 y[1] (numeric) 1.1510146819000746 absolute error 1.5130119379591633e-12 relative error 1.3145027268144824e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9999980006686 y[1] (closed_form) 1.1411219873826695 y[1] (numeric) 1.1411219873842018 absolute error 1.532329818587641e-12 relative error 1.3428273537190044e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.009997994001954 y[1] (closed_form) 1.131215180804456 y[1] (numeric) 1.1312151808060082 absolute error 1.5523138330308939e-12 relative error 1.3722533602554525e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199979873353078 y[1] (closed_form) 1.1212952528350026 y[1] (numeric) 1.1212952528365743 absolute error 1.5716317136593716e-12 relative error 1.4016216600273394e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299979806686617 y[1] (closed_form) 1.1113631954575174 y[1] (numeric) 1.1113631954591086 absolute error 1.5911716388927744e-12 relative error 1.4317296500337436e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0399979740020155 y[1] (closed_form) 1.1014200018681368 y[1] (numeric) 1.1014200018697466 absolute error 1.609823385706477e-12 relative error 1.4615890241470363e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0499979673353694 y[1] (closed_form) 1.0914666663766082 y[1] (numeric) 1.0914666663782369 absolute error 1.6286971771251046e-12 relative error 1.492209727789457e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599979606687233 y[1] (closed_form) 1.0815041843068591 y[1] (numeric) 1.0815041843085056 absolute error 1.6464607455191071e-12 relative error 1.522380374861269e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.069997954002077 y[1] (closed_form) 1.0715335518974665 y[1] (numeric) 1.0715335518991311 absolute error 1.6646684031229597e-12 relative error 1.5535382911483947e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.079997947335431 y[1] (closed_form) 1.0615557662020325 y[1] (numeric) 1.0615557662037163 absolute error 1.6837642391465124e-12 relative error 1.5861288617653863e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089997940668785 y[1] (closed_form) 1.051571824989482 y[1] (numeric) 1.0515718249911856 absolute error 1.7035262089848402e-12 relative error 1.6199808405877355e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099997934002139 y[1] (closed_form) 1.0415827266442852 y[1] (numeric) 1.041582726646008 absolute error 1.722844089613318e-12 relative error 1.6540636144801323e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099979273354927 y[1] (closed_form) 1.0315894700666204 y[1] (numeric) 1.0315894700683632 absolute error 1.7428281040565707e-12 relative error 1.6894589898673728e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199979206688466 y[1] (closed_form) 1.0215930545724852 y[1] (numeric) 1.0215930545742469 absolute error 1.7617018954751984e-12 relative error 1.7244654195622278e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299979140022005 y[1] (closed_form) 1.0115944797937657 y[1] (numeric) 1.011594479795547 absolute error 1.7812418207086012e-12 relative error 1.7608259596985384e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1399979073355544 y[1] (closed_form) 1.001594745578275 y[1] (numeric) 1.001594745580075 absolute error 1.8001156121272288e-12 relative error 1.797249456503413e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1499979006689083 y[1] (closed_form) 0.9915948518897679 y[1] (numeric) 0.9915948518915866 absolute error 1.818656336638469e-12 relative error 1.8340719833029574e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.159997894002262 y[1] (closed_form) 0.981595798707947 y[1] (numeric) 0.9815957987097846 absolute error 1.837641150359559e-12 relative error 1.872095574144068e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.169997887335616 y[1] (closed_form) 0.9715985859284647 y[1] (numeric) 0.9715985859303214 absolute error 1.856736986383112e-12 relative error 1.9110124420455017e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.17999788066897 y[1] (closed_form) 0.9616042132629349 y[1] (numeric) 0.961604213264811 absolute error 1.876165889314052e-12 relative error 1.9510791065981375e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189997874002324 y[1] (closed_form) 0.9516136801389632 y[1] (numeric) 0.9516136801408587 absolute error 1.8954837699425298e-12 relative error 1.9918626744265954e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999978673356777 y[1] (closed_form) 0.9416279856002043 y[1] (numeric) 0.9416279856021188 absolute error 1.91446858366362e-12 relative error 2.0331474987367924e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099978606690316 y[1] (closed_form) 0.9316481282064595 y[1] (numeric) 0.9316481282083935 absolute error 1.9340085088970227e-12 relative error 2.0759001712591148e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199978540023855 y[1] (closed_form) 0.921675105933821 y[1] (numeric) 0.9216751059357742 absolute error 1.953215367223038e-12 relative error 2.119201608731835e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2299978473357394 y[1] (closed_form) 0.9117099160748753 y[1] (numeric) 0.911709916076848 absolute error 1.9727552924564407e-12 relative error 2.1637971219503835e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2399978406690932 y[1] (closed_form) 0.9017535551389757 y[1] (numeric) 0.9017535551409674 absolute error 1.991740106177531e-12 relative error 2.2087410632615356e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.249997834002447 y[1] (closed_form) 0.891807018752591 y[1] (numeric) 0.8918070187546019 absolute error 2.0108359422010835e-12 relative error 2.254788199596956e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.259997827335801 y[1] (closed_form) 0.8818713015597452 y[1] (numeric) 0.8818713015617753 absolute error 2.0300428005270987e-12 relative error 2.3019717241468333e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.269997820669155 y[1] (closed_form) 0.871947397122553 y[1] (numeric) 0.8719473971246022 absolute error 2.049249658853114e-12 relative error 2.350198722555611e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279997814002509 y[1] (closed_form) 0.8620362978218651 y[1] (numeric) 0.8620362978239338 absolute error 2.068678561784054e-12 relative error 2.3997580693655835e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2899978073358627 y[1] (closed_form) 0.8521389947580307 y[1] (numeric) 0.8521389947601183 absolute error 2.0876633755051444e-12 relative error 2.4499094494530756e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999978006692166 y[1] (closed_form) 0.8422564776517891 y[1] (numeric) 0.8422564776538961 absolute error 2.106981256133622e-12 relative error 2.5015910379316824e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099977940025704 y[1] (closed_form) 0.8323897347452978 y[1] (numeric) 0.8323897347474242 absolute error 2.1264101590645623e-12 relative error 2.554584794003041e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3199977873359243 y[1] (closed_form) 0.8225397527033096 y[1] (numeric) 0.8225397527054551 absolute error 2.145505995088115e-12 relative error 2.608391859526332e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329997780669278 y[1] (closed_form) 0.8127075165145071 y[1] (numeric) 0.8127075165166717 absolute error 2.1646018311116677e-12 relative error 2.663445073567286e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.339997774002632 y[1] (closed_form) 0.8028940093930048 y[1] (numeric) 0.8028940093951882 absolute error 2.183364600227833e-12 relative error 2.719368403157568e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.349997767335986 y[1] (closed_form) 0.7931002126800285 y[1] (numeric) 0.7931002126822307 absolute error 2.2022383916464605e-12 relative error 2.7767466915747007e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.35999776066934 y[1] (closed_form) 0.7833271057457821 y[1] (numeric) 0.7833271057480028 absolute error 2.220668093855238e-12 relative error 2.8349179768789016e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3699977540026937 y[1] (closed_form) 0.7735756658915119 y[1] (numeric) 0.7735756658937518 absolute error 2.2398749521812533e-12 relative error 2.8954826928273344e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3799977473360476 y[1] (closed_form) 0.7638468682517771 y[1] (numeric) 0.7638468682540358 absolute error 2.258748743599881e-12 relative error 2.9570701111460977e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899977406694015 y[1] (closed_form) 0.7541416856969368 y[1] (numeric) 0.7541416856992145 absolute error 2.2776225350185086e-12 relative error 3.0201520194625675e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999977340027554 y[1] (closed_form) 0.7444610887358651 y[1] (numeric) 0.7444610887381614 absolute error 2.2962742818322113e-12 relative error 3.0844785799771057e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099977273361093 y[1] (closed_form) 0.7348060454189005 y[1] (numeric) 0.7348060454212155 absolute error 2.3150370509483764e-12 relative error 3.1505416502508674e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419997720669463 y[1] (closed_form) 0.7251775212410412 y[1] (numeric) 0.7251775212433748 absolute error 2.3335777754596165e-12 relative error 3.2179400313815855e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.429997714002817 y[1] (closed_form) 0.7155764790453975 y[1] (numeric) 0.715576479047749 absolute error 2.351563388458544e-12 relative error 3.286250257408694e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.439997707336171 y[1] (closed_form) 0.7060038789269081 y[1] (numeric) 0.7060038789292773 absolute error 2.369215934550084e-12 relative error 3.3558114980206317e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.449997700669525 y[1] (closed_form) 0.6964606781363314 y[1] (numeric) 0.6964606781387186 absolute error 2.3872015475490116e-12 relative error 3.427618561233e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4599976940028787 y[1] (closed_form) 0.6869478309845213 y[1] (numeric) 0.6869478309869272 absolute error 2.4059643166651767e-12 relative error 3.5023974283709317e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4699976873362326 y[1] (closed_form) 0.6774662887469973 y[1] (numeric) 0.6774662887494217 absolute error 2.4243940188739543e-12 relative error 3.5786194223154247e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4799976806695865 y[1] (closed_form) 0.668016999568818 y[1] (numeric) 0.66801699957126 absolute error 2.4420465649654943e-12 relative error 3.6556652997479876e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899976740029404 y[1] (closed_form) 0.6586009083697666 y[1] (numeric) 0.6586009083722266 absolute error 2.460032177964422e-12 relative error 3.735239576352444e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999976673362942 y[1] (closed_form) 0.649218956749861 y[1] (numeric) 0.6492189567523389 absolute error 2.477906768660887e-12 relative error 3.81675048594677e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.509997660669648 y[1] (closed_form) 0.6398720828951939 y[1] (numeric) 0.6398720828976905 absolute error 2.4965585154745895e-12 relative error 3.901652505573534e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.519997654003002 y[1] (closed_form) 0.6305612214841156 y[1] (numeric) 0.6305612214866302 absolute error 2.514544128473517e-12 relative error 3.987787454729898e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.529997647336356 y[1] (closed_form) 0.6212873035937669 y[1] (numeric) 0.6212873035962995 absolute error 2.5325297414724446e-12 relative error 4.07626186278604e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.53999764066971 y[1] (closed_form) 0.6120512566069718 y[1] (numeric) 0.6120512566095226 absolute error 2.5508484213787597e-12 relative error 4.1677039199623516e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499976340030637 y[1] (closed_form) 0.6028540041195011 y[1] (numeric) 0.6028540041220698 absolute error 2.5687230120752247e-12 relative error 4.260937133240038e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5599976273364176 y[1] (closed_form) 0.5936964658477127 y[1] (numeric) 0.5936964658502989 absolute error 2.5861535135618396e-12 relative error 4.3560197210693957e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5699976206697714 y[1] (closed_form) 0.5845795575365818 y[1] (numeric) 0.5845795575391852 absolute error 2.603472992745992e-12 relative error 4.4535819961221824e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799976140031253 y[1] (closed_form) 0.5755041908681263 y[1] (numeric) 0.5755041908707476 absolute error 2.6212365611399946e-12 relative error 4.5546784936282713e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.589997607336479 y[1] (closed_form) 0.5664712733702404 y[1] (numeric) 0.5664712733728784 absolute error 2.6380009288118345e-12 relative error 4.65690151085148e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.599997600669833 y[1] (closed_form) 0.557481708325942 y[1] (numeric) 0.5574817083285976 absolute error 2.655542452600912e-12 relative error 4.763461137720952e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609997594003187 y[1] (closed_form) 0.5485363946830459 y[1] (numeric) 0.5485363946857188 absolute error 2.6728619317850644e-12 relative error 4.872715753581841e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619997587336541 y[1] (closed_form) 0.539636226964269 y[1] (numeric) 0.5396362269669586 absolute error 2.6895152771544417e-12 relative error 4.983941297426132e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299975806698948 y[1] (closed_form) 0.53078209517778 y[1] (numeric) 0.5307820951804862 absolute error 2.7062796448262816e-12 relative error 5.098664158819904e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399975740032486 y[1] (closed_form) 0.5219748847281984 y[1] (numeric) 0.5219748847309215 absolute error 2.7230440124981214e-12 relative error 5.216810410171476e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6499975673366025 y[1] (closed_form) 0.5132154763280556 y[1] (numeric) 0.5132154763307958 absolute error 2.740141447077349e-12 relative error 5.339163710888964e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6599975606699564 y[1] (closed_form) 0.5045047459097243 y[1] (numeric) 0.5045047459124813 absolute error 2.7570168370516512e-12 relative error 5.464798615680396e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699975540033103 y[1] (closed_form) 0.4958435645378261 y[1] (numeric) 0.4958435645405999 absolute error 2.7738367158747224e-12 relative error 5.59417710394246e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.679997547336664 y[1] (closed_form) 0.4872327983221255 y[1] (numeric) 0.48723279832491595 absolute error 2.7904345500928684e-12 relative error 5.727107369828623e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.689997540670018 y[1] (closed_form) 0.4786733083309206 y[1] (numeric) 0.4786733083337272 absolute error 2.8065882951011645e-12 relative error 5.863264665597125e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699997534003372 y[1] (closed_form) 0.47016595050493626 y[1] (numeric) 0.47016595050775917 absolute error 2.8229085735631543e-12 relative error 6.004068500773997e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709997527336726 y[1] (closed_form) 0.46171157557173137 y[1] (numeric) 0.46171157557457065 absolute error 2.8392843631763753e-12 relative error 6.149476238841374e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199975206700797 y[1] (closed_form) 0.4533110289606269 y[1] (numeric) 0.4533110289634823 absolute error 2.85538259703344e-12 relative error 6.298947995111429e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299975140034336 y[1] (closed_form) 0.4449651507181632 y[1] (numeric) 0.4449651507210347 absolute error 2.871480830890505e-12 relative error 6.453271287101929e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399975073367875 y[1] (closed_form) 0.43667477542409716 y[1] (numeric) 0.4366747754269847 absolute error 2.8875235535963384e-12 relative error 6.612526566921537e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7499975006701414 y[1] (closed_form) 0.428440732107944 y[1] (numeric) 0.42844073211084743 absolute error 2.9034552539997094e-12 relative error 6.776795566832789e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7599974940034953 y[1] (closed_form) 0.4202638441660759 y[1] (numeric) 0.4202638441689952 absolute error 2.919331443251849e-12 relative error 6.946425403414469e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.769997487336849 y[1] (closed_form) 0.4121449292793826 y[1] (numeric) 0.41214492928231766 absolute error 2.935041099050295e-12 relative error 7.121381073842365e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.779997480670203 y[1] (closed_form) 0.4040847993315049 y[1] (numeric) 0.4040847993344555 absolute error 2.9506397325462785e-12 relative error 7.30203100296683e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789997474003557 y[1] (closed_form) 0.39608426032764577 y[1] (numeric) 0.39608426033061167 absolute error 2.9659052991348744e-12 relative error 7.488066545945151e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799997467336911 y[1] (closed_form) 0.38814411231397195 y[1] (numeric) 0.3881441123169532 absolute error 2.981281888025933e-12 relative error 7.680863353182482e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099974606702647 y[1] (closed_form) 0.38026514929760946 y[1] (numeric) 0.3802651493006057 absolute error 2.9962143877071412e-12 relative error 7.879276849959746e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199974540036186 y[1] (closed_form) 0.3724481591672435 y[1] (numeric) 0.3724481591702547 absolute error 3.011202398539581e-12 relative error 8.084890002604189e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299974473369724 y[1] (closed_form) 0.36469392361433084 y[1] (numeric) 0.36469392361735703 absolute error 3.0261904093720204e-12 relative error 8.297890952996138e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8399974406703263 y[1] (closed_form) 0.35700321805493107 y[1] (numeric) 0.3570032180579722 absolute error 3.0411229090532288e-12 relative error 8.518474779085325e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.84999743400368 y[1] (closed_form) 0.3493768115521657 y[1] (numeric) 0.34937681155522177 absolute error 3.056055408734437e-12 relative error 8.747161539305924e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.859997427337034 y[1] (closed_form) 0.34181546673931285 y[1] (numeric) 0.3418154667423836 absolute error 3.0707658638107205e-12 relative error 8.983694895680816e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.869997420670388 y[1] (closed_form) 0.3343199397435447 y[1] (numeric) 0.33431993974662993 absolute error 3.0852542742820788e-12 relative error 9.22844828414591e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.879997414003742 y[1] (closed_form) 0.32689098011031503 y[1] (numeric) 0.32689098011341505 absolute error 3.1000202405095933e-12 relative error 9.483345913868402e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8899974073370958 y[1] (closed_form) 0.31952933072840595 y[1] (numeric) 0.31952933073152 absolute error 3.1140645617711016e-12 relative error 9.745786262163204e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8999974006704496 y[1] (closed_form) 0.31223572775563946 y[1] (numeric) 0.3122357277587675 absolute error 3.1280533718813786e-12 relative error 1.001824292935958e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099973940038035 y[1] (closed_form) 0.30501090054526236 y[1] (numeric) 0.3050109005484044 absolute error 3.1420421819916555e-12 relative error 1.0301409478725792e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199973873371574 y[1] (closed_form) 0.2978555715730118 y[1] (numeric) 0.2978555715761675 absolute error 3.155697925194545e-12 relative error 1.0594725183514e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9299973806705113 y[1] (closed_form) 0.2907704563648681 y[1] (numeric) 0.2907704563680373 absolute error 3.1691871349437406e-12 relative error 1.0899274893894114e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.939997374003865 y[1] (closed_form) 0.2837562634255032 y[1] (numeric) 0.28375626342868593 absolute error 3.1827318558441675e-12 relative error 1.1216428555346253e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.949997367337219 y[1] (closed_form) 0.27681369416743073 y[1] (numeric) 0.27681369417062685 absolute error 3.1961100432909006e-12 relative error 1.1546069109419615e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.959997360670573 y[1] (closed_form) 0.26994344284086536 y[1] (numeric) 0.2699434428440746 absolute error 3.2092661861327088e-12 relative error 1.1888661389062179e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.969997354003927 y[1] (closed_form) 0.2631461964642985 y[1] (numeric) 0.26314619646752085 absolute error 3.2223668178232856e-12 relative error 1.2245538263975895e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9799973473372807 y[1] (closed_form) 0.2564226347557973 y[1] (numeric) 0.2564226347590326 absolute error 3.2353009160601687e-12 relative error 1.261706447693781e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9899973406706346 y[1] (closed_form) 0.24977343006503305 y[1] (numeric) 0.24977343006828123 absolute error 3.2481795031458205e-12 relative error 1.3004503730841578e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999973340039885 y[1] (closed_form) 0.24319924730604736 y[1] (numeric) 0.24319924730930823 absolute error 3.260863801202163e-12 relative error 1.3408198575132179e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009997327337298 y[1] (closed_form) 0.23670074389078988 y[1] (numeric) 0.23670074389403425 absolute error 3.2443769892864793e-12 relative error 1.3706661567499702e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019997320670607 y[1] (closed_form) 0.23027856966329086 y[1] (numeric) 0.23027856966651905 absolute error 3.2281954887025677e-12 relative error 1.4018653552620102e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.029997314003917 y[1] (closed_form) 0.22393336683476506 y[1] (numeric) 0.22393336683797727 absolute error 3.2122082771479654e-12 relative error 1.4344482568862439e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039997307337226 y[1] (closed_form) 0.21766576991936148 y[1] (numeric) 0.21766576992255784 absolute error 3.1963598434714413e-12 relative error 1.4684715215697877e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049997300670536 y[1] (closed_form) 0.21147640567071313 y[1] (numeric) 0.21147640567389395 absolute error 3.180816721126689e-12 relative error 1.504100048910181e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059997294003845 y[1] (closed_form) 0.20536589301926178 y[1] (numeric) 0.20536589302242722 absolute error 3.1654401322356307e-12 relative error 1.54136603975361e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069997287337155 y[1] (closed_form) 0.19933484301036586 y[1] (numeric) 0.19933484301351614 absolute error 3.1502855879494973e-12 relative error 1.5803988607178302e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079997280670464 y[1] (closed_form) 0.1933838587431963 y[1] (numeric) 0.19338385874633138 absolute error 3.1350755325121327e-12 relative error 1.6211671195760706e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089997274003774 y[1] (closed_form) 0.18751353531042714 y[1] (numeric) 0.18751353531354745 absolute error 3.120309566284618e-12 relative error 1.664044977403349e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099997267337083 y[1] (closed_form) 0.18172445973872708 y[1] (numeric) 0.1817244597418328 absolute error 3.1057101335107973e-12 relative error 1.7090215252124053e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109997260670393 y[1] (closed_form) 0.17601721093005718 y[1] (numeric) 0.17601721093314845 absolute error 3.0912772341906702e-12 relative error 1.7562357782268411e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119997254003702 y[1] (closed_form) 0.1703923596037813 y[1] (numeric) 0.17039235960685833 absolute error 3.0770386238998526e-12 relative error 1.8058548112456377e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129997247337012 y[1] (closed_form) 0.16485046823959482 y[1] (numeric) 0.16485046824265792 absolute error 3.063105324940807e-12 relative error 1.8581113888550614e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139997240670321 y[1] (closed_form) 0.15939209102127694 y[1] (numeric) 0.1593920910243263 absolute error 3.0493663150110706e-12 relative error 1.913122724893556e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149997234003631 y[1] (closed_form) 0.15401777378127324 y[1] (numeric) 0.15401777378430895 absolute error 3.035710571808181e-12 relative error 1.971013148209319e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.15999722733694 y[1] (closed_form) 0.14872805394611233 y[1] (numeric) 0.14872805394913477 absolute error 3.0224434066639105e-12 relative error 2.0321945500335885e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.16999722067025 y[1] (closed_form) 0.1435234604826645 y[1] (numeric) 0.143523460485674 absolute error 3.009481552851412e-12 relative error 2.096856878123359e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179997214003559 y[1] (closed_form) 0.1384045138452451 y[1] (numeric) 0.13840451384824157 absolute error 2.996464187887682e-12 relative error 2.165004669745188e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1899972073368685 y[1] (closed_form) 0.13337172592356938 y[1] (numeric) 0.13337172592655316 absolute error 2.9837798898313395e-12 relative error 2.2371907307709567e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199997200670178 y[1] (closed_form) 0.12842559999156467 y[1] (numeric) 0.12842559999453587 absolute error 2.9712066140774596e-12 relative error 2.3135625718490834e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2099971940034875 y[1] (closed_form) 0.12356663065704276 y[1] (numeric) 0.12356663066000172 absolute error 2.9589525274431594e-12 relative error 2.3946210329677805e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.219997187336797 y[1] (closed_form) 0.11879530381224024 y[1] (numeric) 0.11879530381518721 absolute error 2.9469759965650155e-12 relative error 2.480717588990559e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229997180670106 y[1] (closed_form) 0.11411209658522936 y[1] (numeric) 0.11411209658816449 absolute error 2.935124365777142e-12 relative error 2.5721413010626113e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239997174003416 y[1] (closed_form) 0.10951747729220573 y[1] (numeric) 0.10951747729512927 absolute error 2.923536412957617e-12 relative error 2.6694701934717433e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249997167336725 y[1] (closed_form) 0.10501190539065708 y[1] (numeric) 0.10501190539356937 absolute error 2.912295404833287e-12 relative error 2.7733002215312574e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259997160670035 y[1] (closed_form) 0.10059583143341833 y[1] (numeric) 0.10059583143631953 absolute error 2.9012070523748434e-12 relative error 2.8840231359835965e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269997154003344 y[1] (closed_form) 0.09626969702361632 y[1] (numeric) 0.09626969702650665 absolute error 2.890326866733517e-12 relative error 3.002322595888589e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279997147336654 y[1] (closed_form) 0.09203393477051014 y[1] (numeric) 0.09203393477338982 absolute error 2.8796826034849232e-12 relative error 3.1289356590756586e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289997140669963 y[1] (closed_form) 0.0878889682462306 y[1] (numeric) 0.08788896824909972 absolute error 2.8691216069631764e-12 relative error 3.2644843422498905e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299997134003273 y[1] (closed_form) 0.08383521194342314 y[1] (numeric) 0.08383521194628206 absolute error 2.8589214329244328e-12 relative error 3.410167835984954e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.309997127336582 y[1] (closed_form) 0.07987307123379961 y[1] (numeric) 0.07987307123664857 absolute error 2.848957181278422e-12 relative error 3.56685568398782e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319997120669892 y[1] (closed_form) 0.07600294232760085 y[1] (numeric) 0.07600294233044014 absolute error 2.8392843631763753e-12 relative error 3.7357558486854465e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329997114003201 y[1] (closed_form) 0.07222521223397638 y[1] (numeric) 0.07222521223680622 absolute error 2.8298474674670615e-12 relative error 3.918088130083524e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339997107336511 y[1] (closed_form) 0.06854025872228386 y[1] (numeric) 0.06854025872510441 absolute error 2.820549349635826e-12 relative error 4.1151717285811855e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.34999710066982 y[1] (closed_form) 0.06494845028431229 y[1] (numeric) 0.06494845028712375 absolute error 2.8114593986217074e-12 relative error 4.32875516862146e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.35999709400313 y[1] (closed_form) 0.06145014609743327 y[1] (numeric) 0.061450146100236 absolute error 2.802730270090592e-12 relative error 4.560982272762505e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369997087336439 y[1] (closed_form) 0.05804569598868403 y[1] (numeric) 0.05804569599147819 absolute error 2.7941607361192666e-12 relative error 4.813725959395829e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379997080669749 y[1] (closed_form) 0.054735440399784396 y[1] (numeric) 0.05473544040257019 absolute error 2.7857924300711545e-12 relative error 5.089558811848215e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389997074003058 y[1] (closed_form) 0.05151971035309333 y[1] (numeric) 0.05151971035587102 absolute error 2.7776947408852948e-12 relative error 5.391518550566768e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3999970673363675 y[1] (closed_form) 0.048398827418506984 y[1] (numeric) 0.04839882742127684 absolute error 2.7698537907738796e-12 relative error 5.722977060627566e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.409997060669677 y[1] (closed_form) 0.045373103681302096 y[1] (numeric) 0.04537310368406425 absolute error 2.7621516185405426e-12 relative error 6.0876409027289095e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4199970540029865 y[1] (closed_form) 0.04244284171092738 y[1] (numeric) 0.042442841713682164 absolute error 2.754782513214593e-12 relative error 6.490570381637155e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.429997047336296 y[1] (closed_form) 0.0396083345307473 y[1] (numeric) 0.039608334533495014 absolute error 2.7477117803265116e-12 relative error 6.937206052411792e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.439997040669605 y[1] (closed_form) 0.03686986558874006 y[1] (numeric) 0.03686986559148079 absolute error 2.740731253059181e-12 relative error 7.433526565109561e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.449997034002915 y[1] (closed_form) 0.03422770872915237 y[1] (numeric) 0.03422770873188652 absolute error 2.734146242744373e-12 relative error 7.988107718164759e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459997027336224 y[1] (closed_form) 0.0316821281651164 y[1] (numeric) 0.03168212816784414 absolute error 2.7277416436710666e-12 relative error 8.609717218032234e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469997020669534 y[1] (closed_form) 0.029233378452227732 y[1] (numeric) 0.029233378454949305 absolute error 2.721572966990493e-12 relative error 9.309813340384185e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479997014002843 y[1] (closed_form) 0.026881704463090572 y[1] (numeric) 0.026881704465806164 absolute error 2.715591640445325e-12 relative error 1.0102006902776267e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489997007336153 y[1] (closed_form) 0.024627341362830513 y[1] (numeric) 0.024627341365540407 absolute error 2.7098948085502172e-12 relative error 1.1003602738215989e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.499997000669462 y[1] (closed_form) 0.02247051458557836 y[1] (numeric) 0.02247051458828282 absolute error 2.704458185176506e-12 relative error 1.2035586345282163e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509996994002772 y[1] (closed_form) 0.020411439811926946 y[1] (numeric) 0.020411439814626224 absolute error 2.699278300877239e-12 relative error 1.3224340496058388e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519996987336081 y[1] (closed_form) 0.01845032294736315 y[1] (numeric) 0.018450322950057555 absolute error 2.6944037279097444e-12 relative error 1.4603558623860392e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529996980669391 y[1] (closed_form) 0.016587360101677828 y[1] (numeric) 0.016587360104367503 absolute error 2.6896748717142316e-12 relative error 1.6215207575087057e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5399969740027 y[1] (closed_form) 0.014822737569354594 y[1] (numeric) 0.014822737572039816 absolute error 2.685221836551399e-12 relative error 1.81155594503878e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.54999696733601 y[1] (closed_form) 0.013156631810940844 y[1] (numeric) 0.013156631813621917 absolute error 2.6810723779968626e-12 relative error 2.0378106011656616e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559996960669319 y[1] (closed_form) 0.011589209435401981 y[1] (numeric) 0.011589209438079092 absolute error 2.6771102695777316e-12 relative error 2.3100024936988928e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569996954002629 y[1] (closed_form) 0.010120627183460296 y[1] (numeric) 0.010120627186133723 absolute error 2.673427451638233e-12 relative error 2.641563020923545e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579996947335938 y[1] (closed_form) 0.008751031911921503 y[1] (numeric) 0.00875103191459139 absolute error 2.669886881023764e-12 relative error 3.05093948678965e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589996940669248 y[1] (closed_form) 0.007480560578988604 y[1] (numeric) 0.0074805605816553 absolute error 2.666695857189705e-12 relative error 3.564834251432866e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599996934002557 y[1] (closed_form) 0.00630934023056684 y[1] (numeric) 0.0063093402332306415 absolute error 2.6638014710700375e-12 relative error 4.221996870868886e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6099969273358665 y[1] (closed_form) 0.005237487987558964 y[1] (numeric) 0.0052374879902200785 absolute error 2.6611143844057494e-12 relative error 5.080898306071371e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619996920669176 y[1] (closed_form) 0.004265111034153168 y[1] (numeric) 0.004265111036811797 absolute error 2.6586285256646747e-12 relative error 6.233433325359e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6299969140024855 y[1] (closed_form) 0.003392306607104767 y[1] (numeric) 0.003392306609761168 absolute error 2.6564011407215204e-12 relative error 7.830663464080802e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.639996907335795 y[1] (closed_form) 0.0026191619860127524 y[1] (numeric) 0.0026191619886671946 absolute error 2.6544422042362736e-12 relative error 1.0134700405747832e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649996900669104 y[1] (closed_form) 0.0019457544845917774 y[1] (numeric) 0.0019457544872446152 absolute error 2.6528378018614296e-12 relative error 1.363398014944316e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659996894002414 y[1] (closed_form) 0.0013721514429412274 y[1] (numeric) 0.0013721514455926188 absolute error 2.651391476163334e-12 relative error 1.9322877877678255e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669996887335723 y[1] (closed_form) 0.0008984102208107192 y[1] (numeric) 0.0008984102234608854 absolute error 2.650166219288208e-12 relative error 2.949839792446614e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679996880669033 y[1] (closed_form) 0.0005245781918644665 y[1] (numeric) 0.0005245781945136825 absolute error 2.6492160245042418e-12 relative error 5.050183300774179e-07% Desired digits 12 Estimated correct digits 8 Correct digits 8 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689996874002342 y[1] (closed_form) 0.0002506927389439584 y[1] (numeric) 0.00025069274159253527 absolute error 2.6485768873235616e-12 relative error 1.0565032311987475e-06% Desired digits 12 Estimated correct digits 7 Correct digits 8 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699996867335652 y[1] (closed_form) 7.678125032983818e-05 y[1] (numeric) 7.678125297798106e-05 absolute error 2.6481428811939156e-12 relative error 3.4489447225956585e-06% Desired digits 12 Estimated correct digits 7 Correct digits 7 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709996860668961 y[1] (closed_form) 2.861117002872504e-06 y[1] (numeric) 2.8611196507678683e-06 absolute error 2.6478953641906843e-12 relative error 9.25476085575057e-05% Desired digits 12 Estimated correct digits 5 Correct digits 6 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719996854002271 y[1] (closed_form) 2.8939730904786742e-05 y[1] (numeric) 2.8939733552772655e-05 absolute error 2.6479859124362622e-12 relative error 9.150001847454205e-06% Desired digits 12 Estimated correct digits 6 Correct digits 7 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.72999684733558 y[1] (closed_form) 0.00015501448419952268 y[1] (numeric) 0.00015501448684781434 absolute error 2.648291660837035e-12 relative error 1.708415619683873e-06% Desired digits 12 Estimated correct digits 7 Correct digits 8 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.73999684066889 y[1] (closed_form) 0.0003810727695335858 y[1] (numeric) 0.00038107277218243555 absolute error 2.6488497268002675e-12 relative error 6.951033866949685e-07% Desired digits 12 Estimated correct digits 8 Correct digits 8 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749996834002199 y[1] (closed_form) 0.0007070919812969256 y[1] (numeric) 0.0007070919839466243 absolute error 2.6496987113114323e-12 relative error 3.747318285877658e-07% Desired digits 12 Estimated correct digits 8 Correct digits 8 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759996827335509 y[1] (closed_form) 0.0011330395178835717 y[1] (numeric) 0.0011330395205343543 absolute error 2.650782588223266e-12 relative error 2.339532334383816e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769996820668818 y[1] (closed_form) 0.0016588727849515816 y[1] (numeric) 0.0016588727876037147 absolute error 2.652133070449314e-12 relative error 1.5987561520739057e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779996814002128 y[1] (closed_form) 0.0022845391996826336 y[1] (numeric) 0.002284539202336302 absolute error 2.653668517565988e-12 relative error 1.1615771434058272e-07% Desired digits 12 Estimated correct digits 8 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789996807335437 y[1] (closed_form) 0.003009976196039932 y[1] (numeric) 0.0030099761986954483 absolute error 2.6555164317487723e-12 relative error 8.8223834967283e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799996800668747 y[1] (closed_form) 0.003835111231025201 y[1] (numeric) 0.003835111233682775 absolute error 2.6575738137912808e-12 relative error 6.92958731494434e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809996794002056 y[1] (closed_form) 0.004759861791932551 y[1] (numeric) 0.004759861794592405 absolute error 2.6598532404387143e-12 relative error 5.588089227605047e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8199967873353655 y[1] (closed_form) 0.005784135404599655 y[1] (numeric) 0.005784135407262173 absolute error 2.6625177756978147e-12 relative error 4.6031387397683145e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.829996780668675 y[1] (closed_form) 0.006907829642655572 y[1] (numeric) 0.0069078296453209355 absolute error 2.6653635895601546e-12 relative error 3.858467460027736e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8399967740019845 y[1] (closed_form) 0.008130832137762667 y[1] (numeric) 0.00813083214043112 absolute error 2.6684522647091313e-12 relative error 3.2818931930913044e-08% Desired digits 12 Estimated correct digits 9 Correct digits 9 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849996767335294 y[1] (closed_form) 0.009453020590853733 y[1] (numeric) 0.00945302059352545 absolute error 2.6717170142909197e-12 relative error 2.826310372026417e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859996760668603 y[1] (closed_form) 0.010874262784361433 y[1] (numeric) 0.01087426278703672 absolute error 2.67528707520448e-12 relative error 2.46020086902064e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869996754001913 y[1] (closed_form) 0.012394416595440272 y[1] (numeric) 0.012394416598119433 absolute error 2.679160712726336e-12 relative error 2.1615867855466153e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.879996747335222 y[1] (closed_form) 0.014013330010178793 y[1] (numeric) 0.014013330012861973 absolute error 2.6831800670201744e-12 relative error 1.9147340889504538e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.889996740668532 y[1] (closed_form) 0.0157308411388003 y[1] (numeric) 0.015730841141487796 absolute error 2.6874960590284047e-12 relative error 1.7084248930590652e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.899996734001841 y[1] (closed_form) 0.017546778231852134 y[1] (numeric) 0.017546778234544286 absolute error 2.6921520568379265e-12 relative error 1.5342714322056824e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.909996727335151 y[1] (closed_form) 0.019460959697380598 y[1] (numeric) 0.019460959700077562 absolute error 2.696964179760286e-12 relative error 1.385833084132686e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.91999672066846 y[1] (closed_form) 0.021473194119089434 y[1] (numeric) 0.021473194121791415 absolute error 2.701981000052811e-12 relative error 1.2583041838432318e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.92999671400177 y[1] (closed_form) 0.02358328027548151 y[1] (numeric) 0.02358328027818883 absolute error 2.7073204789118677e-12 relative error 1.1479829978217866e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939996707335079 y[1] (closed_form) 0.02579100715998095 y[1] (numeric) 0.0257910071626939 absolute error 2.7129513913148884e-12 relative error 1.0518981963311945e-08% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949996700668389 y[1] (closed_form) 0.02809615400203358 y[1] (numeric) 0.028096154004752318 absolute error 2.718738428830747e-12 relative error 9.676550137908437e-09% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959996694001698 y[1] (closed_form) 0.03049849028918339 y[1] (numeric) 0.030498490291908157 absolute error 2.7247683276332424e-12 relative error 8.93410887488949e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.969996687335008 y[1] (closed_form) 0.03299777579012386 y[1] (numeric) 0.032997775792854955 absolute error 2.731093129426654e-12 relative error 8.27659763129872e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979996680668317 y[1] (closed_form) 0.03559376057872099 y[1] (numeric) 0.035593760581458585 absolute error 2.737594873014615e-12 relative error 7.691221237947053e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989996674001627 y[1] (closed_form) 0.03828618505900527 y[1] (numeric) 0.038286185061749654 absolute error 2.744381111252636e-12 relative error 7.168071478062115e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999996667334936 y[1] (closed_form) 0.041074779991131294 y[1] (numeric) 0.04107477999388271 absolute error 2.751417149671198e-12 relative error 6.698556024561235e-09% Desired digits 12 Estimated correct digits 10 Correct digits 10 h 9.999993333334665e-05 NO POLE (given) for Equation 1 NO 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 ) = cos ( x ) ; Iterations 49992 Total Elapsed Time 5 Seconds Elapsed Time(since restart) 5 Seconds Time to Timeout 2 Minutes 55.0 Seconds Percent Done 100.00393334403205%