##############ECHO OF PROBLEM################# ##############R:Temp/sub_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # 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 # ELIMINATED in preodein.rb #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(2.0) - cos(c(x)) - c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.9049958347219743 y[1] (numeric) 0.9049958347219743 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 Radius of convergence (three term test) for eq 1 0.0993346653975306 Order of pole (three term test) 32.009966711079386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 0.8960439020433032 y[1] (numeric) 0.8960439020433032 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10911481154043468 Order of pole (three term test) 32.0120512753347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.8871913641461339 y[1] (numeric) 0.8871913641461339 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11885131321356741 Order of pole (three term test) 32.01433101257399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.8784381062852119 y[1] (numeric) 0.878438106285212 absolute error 1.1102230246251565e-16 relative error 1.2638602727745154e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12854027594607761 Order of pole (three term test) 32.01680501093275 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.8697840037873629 y[1] (numeric) 0.8697840037873629 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13817782428205685 Order of pole (three term test) 32.019472280844624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.8612289220639576 y[1] (numeric) 0.861228922063958 absolute error 3.3306690738754696e-16 relative error 3.8673446612701234e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066983 Order of pole (three term test) 32.0223317554372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.8527727166243732 y[1] (numeric) 0.8527727166243734 absolute error 2.220446049250313e-16 relative error 2.6037958367614717e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15728328030805888 Order of pole (three term test) 32.025382290958774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.8444152330904394 y[1] (numeric) 0.8444152330904398 absolute error 3.3306690738754696e-16 relative error 3.944349821456554e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1667435460704072 Order of pole (three term test) 32.02862266723583 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.8361563072118786 y[1] (numeric) 0.8361563072118788 absolute error 2.220446049250313e-16 relative error 2.6555394369436492e-14% Desired digits 12 Estimated correct digits 13 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17613711663754514 Order of pole (three term test) 32.03205158816103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.8279957648827295 y[1] (numeric) 0.82799576488273 absolute error 4.440892098500626e-16 relative error 5.3634236874745336e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18546023470649145 Order of pole (three term test) 32.035667682211745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.8199334221587583 y[1] (numeric) 0.8199334221587586 absolute error 3.3306690738754696e-16 relative error 4.062121367252394e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19470917115432546 Order of pole (three term test) 32.03946950299856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 0.8119690852758515 y[1] (numeric) 0.811969085275852 absolute error 4.440892098500626e-16 relative error 5.46928716749347e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2038802265297852 Order of pole (three term test) 32.04345552984385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.8041025506693945 y[1] (numeric) 0.8041025506693945 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21296973253299986 Order of pole (three term test) 32.047624168390016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.7963336049946251 y[1] (numeric) 0.7963336049946251 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22197405348275995 Order of pole (three term test) 32.051973751237234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.7886620251479705 y[1] (numeric) 0.7886620251479705 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2308895877707416 Order of pole (three term test) 32.05650253861036 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.7810875782893553 y[1] (numeric) 0.7810875782893554 absolute error 1.1102230246251565e-16 relative error 1.421380976326156e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23971276930210164 Order of pole (three term test) 32.06120871905482 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.7736100218654866 y[1] (numeric) 0.7736100218654868 absolute error 2.220446049250313e-16 relative error 2.87023950891422e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2484400689218684 Order of pole (three term test) 32.06609041016117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.7662291036341092 y[1] (numeric) 0.7662291036341095 absolute error 2.220446049250313e-16 relative error 2.897887901567654e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25706799582655676 Order of pole (three term test) 32.071145659318084 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.7589445616892291 y[1] (numeric) 0.7589445616892291 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2655930989604418 Order of pole (three term test) 32.076372444493295 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 0.7517561244873029 y[1] (numeric) 0.7517561244873027 absolute error 2.220446049250313e-16 relative error 2.953678695686923e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.274011968395937 Order of pole (three term test) 32.081768675042404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.7446635108743939 y[1] (numeric) 0.7446635108743936 absolute error 2.220446049250313e-16 relative error 2.9818112702246356e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28232123669751774 Order of pole (three term test) 32.08733219254516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 0.7376664301142865 y[1] (numeric) 0.7376664301142863 absolute error 1.1102230246251565e-16 relative error 1.50504751104527e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2905175802686528 Order of pole (three term test) 32.09306077166873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.7307645819175589 y[1] (numeric) 0.7307645819175589 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29859772068119605 Order of pole (three term test) 32.098952121057856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.7239576564716129 y[1] (numeric) 0.7239576564716127 absolute error 2.220446049250313e-16 relative error 3.0670938132931795e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30655842598671706 Order of pole (three term test) 32.10500388425132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.7172453344716537 y[1] (numeric) 0.7172453344716534 absolute error 3.3306690738754696e-16 relative error 4.64369569769171e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3143965120092345 Order of pole (three term test) 32.111213640624534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.7106272871526208 y[1] (numeric) 0.7106272871526208 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3221088436188458 Order of pole (three term test) 32.11757890635776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 0.704103176322065 y[1] (numeric) 0.704103176322065 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3296923359857368 Order of pole (three term test) 32.12409713542955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.6976726543939654 y[1] (numeric) 0.6976726543939653 absolute error 1.1102230246251565e-16 relative error 1.5913236926127682e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33714395581407286 Order of pole (three term test) 32.1307657206352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.6913353644234898 y[1] (numeric) 0.6913353644234895 absolute error 2.220446049250313e-16 relative error 3.2118218790990986e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34446072255527593 Order of pole (three term test) 32.13758199462955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.6850909401426869 y[1] (numeric) 0.6850909401426869 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3516397096002052 Order of pole (three term test) 32.14454323099387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.6789390059971147 y[1] (numeric) 0.6789390059971149 absolute error 2.220446049250313e-16 relative error 3.27046469511541e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3586780454497616 Order of pole (three term test) 32.151646645326416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.6728791771833947 y[1] (numeric) 0.6728791771833947 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3655729148634483 Order of pole (three term test) 32.158889396356194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.6669110596876916 y[1] (numeric) 0.6669110596876915 absolute error 1.1102230246251565e-16 relative error 1.6647242664487585e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3723215599854298 Order of pole (three term test) 32.166268587079344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.6610342503251146 y[1] (numeric) 0.6610342503251145 absolute error 1.1102230246251565e-16 relative error 1.6795242063162666e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3789212814476387 Order of pole (three term test) 32.173781265917974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.6552483367800365 y[1] (numeric) 0.6552483367800364 absolute error 1.1102230246251565e-16 relative error 1.694354586355635e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3853694394494846 Order of pole (three term test) 32.18142442790071 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.6495528976473229 y[1] (numeric) 0.6495528976473229 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39166345481374193 Order of pole (three term test) 32.18919501586466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 0.6439475024744746 y[1] (numeric) 0.6439475024744745 absolute error 1.1102230246251565e-16 relative error 1.7240893401386623e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39780081001818324 Order of pole (three term test) 32.19708992167827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 0.6384317118046708 y[1] (numeric) 0.6384317118046708 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4037790502025573 Order of pole (three term test) 32.20510598748445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.6330050772207155 y[1] (numeric) 0.6330050772207156 absolute error 1.1102230246251565e-16 relative error 1.7538927641776957e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4095957841504994 Order of pole (three term test) 32.21324000696377 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.6276671413898783 y[1] (numeric) 0.6276671413898782 absolute error 1.1102230246251565e-16 relative error 1.7688085792841216e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4152486852459853 Order of pole (three term test) 32.22148872661689 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.6224174381096271 y[1] (numeric) 0.622417438109627 absolute error 1.1102230246251565e-16 relative error 1.7837273775572008e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4207354924039487 Order of pole (three term test) 32.22984884706593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.6172554923542485 y[1] (numeric) 0.6172554923542486 absolute error 1.1102230246251565e-16 relative error 1.7986442216831494e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42605401097468154 Order of pole (three term test) 32.238317024374176 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.6121808203223499 y[1] (numeric) 0.6121808203223501 absolute error 2.220446049250313e-16 relative error 3.627108160757332e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4312021136216694 Order of pole (three term test) 32.246889871383615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.6071929294852388 y[1] (numeric) 0.6071929294852388 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43617774117249347 Order of pole (three term test) 32.25556395906974 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.6022913186361757 y[1] (numeric) 0.6022913186361758 absolute error 1.1102230246251565e-16 relative error 1.843332271730461e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4409789034424741 Order of pole (three term test) 32.264335817913135 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.5974754779404939 y[1] (numeric) 0.5974754779404942 absolute error 2.220446049250313e-16 relative error 3.716380221836418e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4456036800307179 Order of pole (three term test) 32.27320193928721 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.5927448889865837 y[1] (numeric) 0.5927448889865838 absolute error 1.1102230246251565e-16 relative error 1.87301998760935e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45005022108825254 Order of pole (three term test) 32.28215877686164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.588099024837731 y[1] (numeric) 0.5880990248377311 absolute error 1.1102230246251565e-16 relative error 1.887816469227254e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45431674805794175 Order of pole (three term test) 32.29120274802082 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.583537350084813 y[1] (numeric) 0.583537350084813 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584015543858839 Order of pole (three term test) 32.30033023529687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.5790593208998364 y[1] (numeric) 0.5790593208998364 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4623030062040102 Order of pole (three term test) 32.30953758781656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.5746643850903214 y[1] (numeric) 0.5746643850903216 absolute error 2.220446049250313e-16 relative error 3.863900577206155e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4660195429836131 Order of pole (three term test) 32.31882112276166 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.5703519821545203 y[1] (numeric) 0.5703519821545204 absolute error 1.1102230246251565e-16 relative error 1.9465576685317348e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46954967815953375 Order of pole (three term test) 32.32817712684198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.5661215433374659 y[1] (numeric) 0.566121543337466 absolute error 1.1102230246251565e-16 relative error 1.961103649368367e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47289199972476953 Order of pole (three term test) 32.33760185778062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.561972491687848 y[1] (numeric) 0.5619724916878481 absolute error 1.1102230246251565e-16 relative error 1.9755825081236154e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47604517079525793 Order of pole (three term test) 32.347091545810855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.5579042421157073 y[1] (numeric) 0.5579042421157075 absolute error 2.220446049250313e-16 relative error 3.979976995388754e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461257 Order of pole (three term test) 32.35664239518402 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.5539162014509439 y[1] (numeric) 0.5539162014509444 absolute error 5.551115123125783e-16 relative error 1.0021579272433327e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48177909270859665 Order of pole (three term test) 32.36625058568771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.5500077685026349 y[1] (numeric) 0.5500077685026351 absolute error 2.220446049250313e-16 relative error 4.037117612530005e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48435755005913284 Order of pole (three term test) 32.375912274173814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.5461783341191505 y[1] (numeric) 0.546178334119151 absolute error 4.440892098500626e-16 relative error 8.130846320849907e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48674227084766 Order of pole (three term test) 32.38562359609577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.5424272812490719 y[1] (numeric) 0.5424272812490724 absolute error 4.440892098500626e-16 relative error 8.187073644737009e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48893230121765824 Order of pole (three term test) 32.39538066705429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.5387539850028932 y[1] (numeric) 0.5387539850028937 absolute error 5.551115123125783e-16 relative error 1.0303617750680717e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49092676518617995 Order of pole (three term test) 32.40517958435108 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.5351578127155113 y[1] (numeric) 0.5351578127155118 absolute error 4.440892098500626e-16 relative error 8.298285090834307e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927248649942302 Order of pole (three term test) 32.415016428549876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.5316381240094915 y[1] (numeric) 0.531638124009492 absolute error 4.440892098500626e-16 relative error 8.353223551780762e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49432588142586004 Order of pole (three term test) 32.42488726504416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.5281942708591049 y[1] (numeric) 0.5281942708591051 absolute error 2.220446049250313e-16 relative error 4.2038434942483774e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4957291740958432 Order of pole (three term test) 32.434788145630925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.5248255976551296 y[1] (numeric) 0.5248255976551296 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4969341817058225 Order of pole (three term test) 32.444715110089966 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.5215314412704118 y[1] (numeric) 0.521531441270412 absolute error 1.1102230246251565e-16 relative error 2.128774867188708e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49794042226882 Order of pole (three term test) 32.45466418776785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.5183111311261789 y[1] (numeric) 0.5183111311261791 absolute error 2.220446049250313e-16 relative error 4.284002244801805e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49874749330202717 Order of pole (three term test) 32.46463139916615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.5151639892590946 y[1] (numeric) 0.5151639892590947 absolute error 1.1102230246251565e-16 relative error 2.1550866282829122e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49935507198779155 Order of pole (three term test) 32.474612757533215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.5120893303890565 y[1] (numeric) 0.5120893303890565 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4997629153027396 Order of pole (three term test) 32.48460427045877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.5090864619877223 y[1] (numeric) 0.5090864619877226 absolute error 2.220446049250313e-16 relative error 4.361628554372879e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4999708601149831 Order of pole (three term test) 32.49460194147087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.5061546843477637 y[1] (numeric) 0.5061546843477639 absolute error 2.220446049250313e-16 relative error 4.386892224679504e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49997882324937 Order of pole (three term test) 32.504601771634405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.5032932906528346 y[1] (numeric) 0.5032932906528347 absolute error 1.1102230246251565e-16 relative error 2.205916600209508e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49978680152075255 Order of pole (three term test) 32.51459976115064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.5005015670482528 y[1] (numeric) 0.5005015670482531 absolute error 3.3306690738754696e-16 relative error 6.654662628767281e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.499394871735262 Order of pole (three term test) 32.524591910957085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.49777879271238634 y[1] (numeric) 0.49777879271238656 absolute error 2.220446049250313e-16 relative error 4.4607084145773834e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4988031906595869 Order of pole (three term test) 32.53457422432704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.4951242399287329 y[1] (numeric) 0.49512423992873306 absolute error 1.6653345369377348e-16 relative error 3.363467999824528e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49801199495826826 Order of pole (three term test) 32.54454270846823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 0.4925371741586916 y[1] (numeric) 0.4925371741586921 absolute error 4.996003610813204e-16 relative error 1.0143404138676305e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49702160109903787 Order of pole (three term test) 32.55449337611993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 0.4900168541150177 y[1] (numeric) 0.490016854115018 absolute error 2.7755575615628914e-16 relative error 5.664208359885121e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49583240522623423 Order of pole (three term test) 32.56442224714776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 0.4875625318359479 y[1] (numeric) 0.48756253183594833 absolute error 4.440892098500626e-16 relative error 9.108353920835884e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4944448830023506 Order of pole (three term test) 32.57432535013568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 0.4851734527599988 y[1] (numeric) 0.485173452759999 absolute error 2.220446049250313e-16 relative error 4.576602525589345e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4928595894177766 Order of pole (three term test) 32.58419872397454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.4828488558014198 y[1] (numeric) 0.48284885580141995 absolute error 1.6653345369377348e-16 relative error 3.4489768732570704e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.491077158568809 Order of pole (three term test) 32.59403841944644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 0.4805879734263029 y[1] (numeric) 0.48058797342630327 absolute error 3.885780586188048e-16 relative error 8.085471965693965e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4890983034040221 Order of pole (three term test) 32.60384050080439 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 0.47839003172933536 y[1] (numeric) 0.4783900317293357 absolute error 3.3306690738754696e-16 relative error 6.962245977064805e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48692381543909746 Order of pole (three term test) 32.61360104734654 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.4762542505111883 y[1] (numeric) 0.4762542505111886 absolute error 2.7755575615628914e-16 relative error 5.82789037280768e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48455456444022815 Order of pole (three term test) 32.62331615498442 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.47417984335653707 y[1] (numeric) 0.47417984335653723 absolute error 1.6653345369377348e-16 relative error 3.51203147976403e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4819914980762238 Order of pole (three term test) 32.632981937804495 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.4721660177127015 y[1] (numeric) 0.47216601771270184 absolute error 3.3306690738754696e-16 relative error 7.054021147074755e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792356415394569 Order of pole (three term test) 32.642594529622514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 0.47021197496890166 y[1] (numeric) 0.4702119749689018 absolute error 1.6653345369377348e-16 relative error 3.5416676426581325e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47628809713579734 Order of pole (three term test) 32.652150085529925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 0.46831691053611635 y[1] (numeric) 0.4683169105361165 absolute error 1.6653345369377348e-16 relative error 3.555999152435699e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47315004384370707 Order of pole (three term test) 32.66164478343175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.46648001392754324 y[1] (numeric) 0.46648001392754335 absolute error 1.1102230246251565e-16 relative error 2.3800012679591535e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46982273684266196 Order of pole (three term test) 32.67107482557545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 0.46470046883964555 y[1] (numeric) 0.4647004688396457 absolute error 1.6653345369377348e-16 relative error 3.5836730294162726e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46630750701109996 Order of pole (three term test) 32.680436440069876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 0.4629774532337826 y[1] (numeric) 0.4629774532337827 absolute error 1.1102230246251565e-16 relative error 2.398006678015364e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626057603940838 Order of pole (three term test) 32.68972588239408 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.46131013941841237 y[1] (numeric) 0.4613101394184124 absolute error 5.551115123125783e-17 relative error 1.2033368982793749e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4587189776409047 Order of pole (three term test) 32.69893943689496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.45969769413186 y[1] (numeric) 0.4596976941318603 absolute error 2.7755575615628914e-16 relative error 6.037788740281887e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4546487134128407 Order of pole (three term test) 32.70807341827358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.45813927862564463 y[1] (numeric) 0.4581392786256446 absolute error 5.551115123125783e-17 relative error 1.2116654000456742e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45039659576131386 Order of pole (three term test) 32.71712417305915 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.4566340487483507 y[1] (numeric) 0.45663404874835045 absolute error 2.220446049250313e-16 relative error 4.86263793805265e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44596432547669046 Order of pole (three term test) 32.72608808107046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.4551811550300451 y[1] (numeric) 0.4551811550300447 absolute error 3.885780586188048e-16 relative error 8.536778254652392e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44135367540798814 Order of pole (three term test) 32.734961556863794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.4537797427672221 y[1] (numeric) 0.45377974276722166 absolute error 4.440892098500626e-16 relative error 9.786448534302896e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43656648975375995 Order of pole (three term test) 32.74374105116718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 0.4524289521082736 y[1] (numeric) 0.45242895210827305 absolute error 5.551115123125783e-16 relative error 1.226958420158158e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43160468332443946 Order of pole (three term test) 32.75242305229993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 0.45112791813947317 y[1] (numeric) 0.45112791813947245 absolute error 7.216449660063518e-16 relative error 1.5996459917234472e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42647024077644125 Order of pole (three term test) 32.76100408757735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 0.4498757709714667 y[1] (numeric) 0.44987577097146597 absolute error 7.216449660063518e-16 relative error 1.6040983146258882e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4211652158183267 Order of pole (three term test) 32.769480724699754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.448671635826261 y[1] (numeric) 0.44867163582626013 absolute error 8.881784197001252e-16 relative error 1.9795733645263334e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41569173038934604 Order of pole (three term test) 32.7778495731253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 0.4475146331247002 y[1] (numeric) 0.4475146331246992 absolute error 9.992007221626409e-16 relative error 2.2327777645747127e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41005197381069236 Order of pole (three term test) 32.78610728542621 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.44640387857442376 y[1] (numeric) 0.4464038785744226 absolute error 1.1657341758564144e-15 relative error 2.611388995048942e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40424820190980126 Order of pole (three term test) 32.79425055862767 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.4453384832582943 y[1] (numeric) 0.4453384832582931 absolute error 1.1657341758564144e-15 relative error 2.617636291675009e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39828273611805015 Order of pole (three term test) 32.802276135528956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.44431755372328907 y[1] (numeric) 0.44431755372328774 absolute error 1.3322676295501878e-15 relative error 2.9984582386765077e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3921579625422178 Order of pole (three term test) 32.810180806006336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.4433401920698439 y[1] (numeric) 0.4433401920698426 absolute error 1.27675647831893e-15 relative error 2.879857277000028e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3858763310100716 Order of pole (three term test) 32.81796140829699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.44240549604164325 y[1] (numeric) 0.44240549604164175 absolute error 1.4988010832439613e-15 relative error 3.3878446281844575e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37944035409047056 Order of pole (three term test) 32.82561483026376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.44151255911584397 y[1] (numeric) 0.4415125591158425 absolute error 1.4988010832439613e-15 relative error 3.394696373406461e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3728526060883704 Order of pole (three term test) 32.8331380106399 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.44066047059372826 y[1] (numeric) 0.4406604705937265 absolute error 1.7763568394002505e-15 relative error 4.031123638130868e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3661157220151374 Order of pole (three term test) 32.84052794025356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 0.4398483156917712 y[1] (numeric) 0.43984831569176935 absolute error 1.8318679906315083e-15 relative error 4.164772093648782e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3592323965345755 Order of pole (three term test) 32.84778166323144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 0.4390751756331197 y[1] (numeric) 0.4390751756331177 absolute error 1.9984014443252818e-15 relative error 4.551387906282126e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35220538288510167 Order of pole (three term test) 32.85489627818105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 0.4383401277394685 y[1] (numeric) 0.4383401277394665 absolute error 1.9984014443252818e-15 relative error 4.55902008020824e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3450374917784829 Order of pole (three term test) 32.86186893935126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 0.437642245523328 y[1] (numeric) 0.43764224552332576 absolute error 2.220446049250313e-15 relative error 5.07365564445253e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.337731590275591 Order of pole (three term test) 32.86869685777061 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 0.4369805987806712 y[1] (numeric) 0.4369805987806689 absolute error 2.275957200481571e-15 relative error 5.208371279714221e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3302906006396172 Order of pole (three term test) 32.875377302362736 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 0.4363542536839544 y[1] (numeric) 0.4363542536839521 absolute error 2.3314683517128287e-15 relative error 5.343063192415858e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3227174991672033 Order of pole (three term test) 32.88190760103887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 0.43576227287549885 y[1] (numeric) 0.4357622728754964 absolute error 2.4424906541753444e-15 relative error 5.605098940892448e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3150153149979655 Order of pole (three term test) 32.88828514176663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 0.43520371556122517 y[1] (numeric) 0.43520371556122267 absolute error 2.4980018054066022e-15 relative error 5.7398448498659e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30718712890287625 Order of pole (three term test) 32.89450737361475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 0.43467763760473277 y[1] (numeric) 0.43467763760473016 absolute error 2.609024107869118e-15 relative error 6.002204581413486e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2992360720520001 Order of pole (three term test) 32.90057180777345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 0.434183091621712 y[1] (numeric) 0.4341830916217094 absolute error 2.55351295663786e-15 relative error 5.881189309100603e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29116532476206347 Order of pole (three term test) 32.906476018549924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 0.4337191270746825 y[1] (numeric) 0.43371912707467997 absolute error 2.55351295663786e-15 relative error 5.887480623371651e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2829781152243754 Order of pole (three term test) 32.9122176443386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 0.4332847903680457 y[1] (numeric) 0.43328479036804307 absolute error 2.609024107869118e-15 relative error 6.021499406090232e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27467771821358883 Order of pole (three term test) 32.91779438856569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 0.4328791249434436 y[1] (numeric) 0.4328791249434409 absolute error 2.7200464103316335e-15 relative error 6.28361649614546e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2662674537778372 Order of pole (three term test) 32.92320402060787 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 0.4325011713754139 y[1] (numeric) 0.432501171375411 absolute error 2.886579864025407e-15 relative error 6.674155019848111e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2577506859107598 Order of pole (three term test) 32.92844437668445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 0.4321499674673315 y[1] (numeric) 0.43214996746732864 absolute error 2.831068712794149e-15 relative error 6.55112559509371e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24913082120594834 Order of pole (three term test) 32.933513360722884 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 0.4318245483476282 y[1] (numeric) 0.43182454834762524 absolute error 2.942091015256665e-15 relative error 6.813162953598963e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24041130749435452 Order of pole (three term test) 32.938408945197125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 0.4315239465662779 y[1] (numeric) 0.43152394656627485 absolute error 3.0531133177191805e-15 relative error 7.075188623976518e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23159563246520415 Order of pole (three term test) 32.94312917193866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 0.4312471921915415 y[1] (numeric) 0.43124719219153856 absolute error 2.942091015256665e-15 relative error 6.822284454318056e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22268732227096869 Order of pole (three term test) 32.94767215291973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 0.4309933129069594 y[1] (numeric) 0.43099331290695636 absolute error 3.0531133177191805e-15 relative error 7.083899509081875e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21368994011694933 Order of pole (three term test) 32.95203607100851 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 0.4307613341085814 y[1] (numeric) 0.4307613341085785 absolute error 2.942091015256665e-15 relative error 6.829979346556337e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20460708483604442 Order of pole (three term test) 32.95621918069596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 0.4305502790024278 y[1] (numeric) 0.43055027900242476 absolute error 3.0531133177191805e-15 relative error 7.091188803298777e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19544238944926298 Order of pole (three term test) 32.96021980879398 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 0.4303591687021664 y[1] (numeric) 0.4303591687021632 absolute error 3.219646771412954e-15 relative error 7.481301679065973e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18619951971256596 Order of pole (three term test) 32.964036355104646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 0.43018702232700123 y[1] (numeric) 0.43018702232699796 absolute error 3.2751579226442118e-15 relative error 7.613335020958958e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17688217265061104 Order of pole (three term test) 32.96766729306035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 0.4300328570997596 y[1] (numeric) 0.4300328570997564 absolute error 3.164135620181696e-15 relative error 7.357892700388882e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16749407507799338 Order of pole (three term test) 32.97111117033432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 0.42989568844516945 y[1] (numeric) 0.4298956884451661 absolute error 3.3306690738754696e-15 relative error 7.747621489114506e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15803898210856912 Order of pole (three term test) 32.97436660942154 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 0.4297745300883147 y[1] (numeric) 0.4297745300883115 absolute error 3.164135620181696e-15 relative error 7.362315350636286e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14852067565345978 Order of pole (three term test) 32.977432308189805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 0.42966839415326374 y[1] (numeric) 0.42966839415326047 absolute error 3.2751579226442118e-15 relative error 7.622524642750324e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1389429629083382 Order of pole (three term test) 32.98030704040046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 0.4295762912618548 y[1] (numeric) 0.42957629126185154 absolute error 3.2751579226442118e-15 relative error 7.6241589428123e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12930967483060143 Order of pole (three term test) 32.98298965619897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 0.4294972306326337 y[1] (numeric) 0.4294972306326304 absolute error 3.2751579226442118e-15 relative error 7.625562376316196e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460703847 Order of pole (three term test) 32.985479082574784 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 0.4294302201799307 y[1] (numeric) 0.42943022017992744 absolute error 3.2751579226442118e-15 relative error 7.626752307445725e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10989180611260721 Order of pole (three term test) 32.98777432379053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 0.42937426661306866 y[1] (numeric) 0.4293742666130652 absolute error 3.4416913763379853e-15 relative error 8.015597682381537e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1001149923609353 Order of pole (three term test) 32.989874461780325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 0.4293283755356905 y[1] (numeric) 0.4293283755356872 absolute error 3.2751579226442118e-15 relative error 7.628561514383167e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09029813394716771 Order of pole (three term test) 32.991778656517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 0.4292915515451996 y[1] (numeric) 0.4292915515451961 absolute error 3.497202527569243e-15 relative error 8.146450856023955e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08044515748378046 Order of pole (three term test) 32.99348614634801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 0.4292627983322972 y[1] (numeric) 0.42926279833229386 absolute error 3.3306690738754696e-15 relative error 7.759044312284339e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07056000402998741 Order of pole (three term test) 32.99499624830021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 0.4292411187806142 y[1] (numeric) 0.42924111878061083 absolute error 3.3861802251067274e-15 relative error 7.888760132594401e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06064662751536994 Order of pole (three term test) 32.99630835835296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 0.4292255150664208 y[1] (numeric) 0.42922551506641754 absolute error 3.2751579226442118e-15 relative error 7.630389638270677e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05070899315835727 Order of pole (three term test) 32.99742195167972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 0.4292149887584089 y[1] (numeric) 0.42921498875840564 absolute error 3.2751579226442118e-15 relative error 7.630576770206156e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.040751075880192084 Order of pole (three term test) 32.998336582858016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 0.4292085409175339 y[1] (numeric) 0.4292085409175306 absolute error 3.3306690738754696e-15 relative error 7.760025154101975e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030776858715015305 Order of pole (three term test) 32.99905188604757 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 0.42920517219690746 y[1] (numeric) 0.42920517219690424 absolute error 3.219646771412954e-15 relative error 7.501416525185464e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020790331216705142 Order of pole (three term test) 32.99956757513663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 0.4292038829417326 y[1] (numeric) 0.42920388294172934 absolute error 3.2751579226442118e-15 relative error 7.630774214334955e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010795487863109021 Order of pole (three term test) 32.999883443856454 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.5699895054149413 y[1] (closed_form) 0.4292036732926383 y[1] (numeric) 0.4292036732926349 absolute error 3.3861802251067274e-15 relative error 7.889448380368293e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799940607570198 y[1] (closed_form) 0.42920354352019374 y[1] (numeric) 0.4292035435201904 absolute error 3.3306690738754696e-15 relative error 7.760115507337985e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899986160990982 y[1] (closed_form) 0.42920249315684456 y[1] (numeric) 0.42920249315684156 absolute error 2.9976021664879227e-15 relative error 6.984121048412693e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000031714411767 y[1] (closed_form) 0.42919952094884883 y[1] (numeric) 0.429199520948846 absolute error 2.831068712794149e-15 relative error 6.596160001612748e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.610007726783255 y[1] (closed_form) 0.42919362583482346 y[1] (numeric) 0.42919362583482024 absolute error 3.219646771412954e-15 relative error 7.501618331703848e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200122821253335 y[1] (closed_form) 0.42918380704593795 y[1] (numeric) 0.42918380704593534 absolute error 2.609024107869118e-15 relative error 6.079036685533337e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.630016837467412 y[1] (closed_form) 0.4291690642060859 y[1] (numeric) 0.4291690642060831 absolute error 2.831068712794149e-15 relative error 6.596628109790031e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400213928094904 y[1] (closed_form) 0.42914839743200894 y[1] (numeric) 0.4291483974320063 absolute error 2.6645352591003757e-15 relative error 6.208890153254096e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500259481515689 y[1] (closed_form) 0.4291208074333779 y[1] (numeric) 0.4291208074333752 absolute error 2.6645352591003757e-15 relative error 6.209289349163176e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600305034936473 y[1] (closed_form) 0.4290852956128106 y[1] (numeric) 0.42908529561280784 absolute error 2.7755575615628914e-15 relative error 6.468545042073508e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700350588357258 y[1] (closed_form) 0.42904086416582277 y[1] (numeric) 0.4290408641658201 absolute error 2.6645352591003757e-15 relative error 6.210446327253672e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800396141778042 y[1] (closed_form) 0.42898651618069805 y[1] (numeric) 0.4289865161806955 absolute error 2.55351295663786e-15 relative error 5.952431743943829e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900441695198827 y[1] (closed_form) 0.4289212557382689 y[1] (numeric) 0.42892125573826656 absolute error 2.3314683517128287e-15 relative error 5.43565589376039e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000487248619611 y[1] (closed_form) 0.4288440880115998 y[1] (numeric) 0.4288440880115973 absolute error 2.4980018054066022e-15 relative error 5.824965005321547e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100532802040396 y[1] (closed_form) 0.42875401936555746 y[1] (numeric) 0.4287540193655549 absolute error 2.55351295663786e-15 relative error 5.955659518752463e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.720057835546118 y[1] (closed_form) 0.4286500574562664 y[1] (numeric) 0.4286500574562643 absolute error 2.1094237467877974e-15 relative error 4.921085883682669e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300623908881965 y[1] (closed_form) 0.42853121133043204 y[1] (numeric) 0.4285312113304294 absolute error 2.6645352591003757e-15 relative error 6.217832420719071e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.740066946230275 y[1] (closed_form) 0.42839649152452375 y[1] (numeric) 0.42839649152452164 absolute error 2.1094237467877974e-15 relative error 4.923998651998863e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500715015723534 y[1] (closed_form) 0.4282449101638146 y[1] (numeric) 0.42824491016381266 absolute error 1.942890293094024e-15 relative error 4.5368672154231066e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600760569144318 y[1] (closed_form) 0.4280754810612539 y[1] (numeric) 0.42807548106125193 absolute error 1.9984014443252818e-15 relative error 4.668338955949985e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700806122565103 y[1] (closed_form) 0.42788721981617717 y[1] (numeric) 0.42788721981617545 absolute error 1.7208456881689926e-15 relative error 4.0217272413704665e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800851675985887 y[1] (closed_form) 0.4276791439128347 y[1] (numeric) 0.427679143912833 absolute error 1.6653345369377348e-15 relative error 3.893887650685035e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900897229406671 y[1] (closed_form) 0.4274502728187317 y[1] (numeric) 0.4274502728187296 absolute error 2.1094237467877974e-15 relative error 4.934898585694289e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000942782827456 y[1] (closed_form) 0.42719962808276946 y[1] (numeric) 0.4271996280827678 absolute error 1.6653345369377348e-15 relative error 3.8982583959906404e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.810098833624824 y[1] (closed_form) 0.4269262334331809 y[1] (numeric) 0.42692623343317904 absolute error 1.887379141862766e-15 relative error 4.420855393881912e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8201033889669025 y[1] (closed_form) 0.426629114875243 y[1] (numeric) 0.42662911487524113 absolute error 1.887379141862766e-15 relative error 4.423934223089024e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.830107944308981 y[1] (closed_form) 0.42630730078876655 y[1] (numeric) 0.4263073007887646 absolute error 1.942890293094024e-15 relative error 4.557487731266226e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8401124996510594 y[1] (closed_form) 0.4259598220253442 y[1] (numeric) 0.42595982202534244 absolute error 1.7763568394002505e-15 relative error 4.170245050235181e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8501170549931378 y[1] (closed_form) 0.4255857120053548 y[1] (numeric) 0.4255857120053532 absolute error 1.5543122344752192e-15 relative error 3.65217203169561e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8601216103352163 y[1] (closed_form) 0.4251840068147066 y[1] (numeric) 0.42518400681470503 absolute error 1.5543122344752192e-15 relative error 3.655622529453658e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8701261656772947 y[1] (closed_form) 0.4247537453013168 y[1] (numeric) 0.4247537453013152 absolute error 1.609823385706477e-15 relative error 3.7900157526909654e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8801307210193732 y[1] (closed_form) 0.4242939691713128 y[1] (numeric) 0.4242939691713117 absolute error 1.1102230246251565e-15 relative error 2.616636354255823e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8901352763614516 y[1] (closed_form) 0.42380372308494985 y[1] (numeric) 0.42380372308494885 absolute error 9.992007221626409e-16 relative error 2.357696895367658e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.90013983170353 y[1] (closed_form) 0.42328205475222913 y[1] (numeric) 0.42328205475222785 absolute error 1.27675647831893e-15 relative error 3.016325554047614e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9101443870456085 y[1] (closed_form) 0.42272801502821333 y[1] (numeric) 0.4227280150282124 absolute error 9.43689570931383e-16 relative error 2.2323800112192712e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.919987578591847 y[1] (closed_form) 0.4221504008127084 y[1] (numeric) 0.42215040081270766 absolute error 7.216449660063518e-16 relative error 1.7094499131519655e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299921339339254 y[1] (closed_form) 0.42152934396560826 y[1] (numeric) 0.42152934396560743 absolute error 8.326672684688674e-16 relative error 1.9753482892446108e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9399966892760039 y[1] (closed_form) 0.42087310323087945 y[1] (numeric) 0.420873103230879 absolute error 4.440892098500626e-16 relative error 1.0551617730878075e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500012446180823 y[1] (closed_form) 0.4201807429329769 y[1] (numeric) 0.4201807429329764 absolute error 4.996003610813204e-16 relative error 1.189012989015091e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600057999601608 y[1] (closed_form) 0.41945133101157217 y[1] (numeric) 0.41945133101157195 absolute error 2.220446049250313e-16 relative error 5.293691747014753e-14% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700103553022392 y[1] (closed_form) 0.41868393911484536 y[1] (numeric) 0.4186839391148451 absolute error 2.7755575615628914e-16 relative error 6.62924297366361e-14% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800149106443177 y[1] (closed_form) 0.4178776426924029 y[1] (numeric) 0.4178776426924028 absolute error 1.1102230246251565e-16 relative error 2.6568136487799245e-14% Desired digits 12 Estimated correct digits 11 Correct digits 16 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900194659863961 y[1] (closed_form) 0.4170315210878168 y[1] (numeric) 0.41703152108781677 absolute error 5.551115123125783e-17 relative error 1.3311020492277971e-14% Desired digits 12 Estimated correct digits 11 Correct digits 16 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000240213284743 y[1] (closed_form) 0.416144657630773 y[1] (numeric) 0.4161446576307732 absolute error 1.6653345369377348e-16 relative error 4.001816451084453e-14% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010028576670553 y[1] (closed_form) 0.4152161397288223 y[1] (numeric) 0.41521613972882254 absolute error 2.220446049250313e-16 relative error 5.347687232727722e-14% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0200331320126312 y[1] (closed_form) 0.41424505895871944 y[1] (numeric) 0.41424505895872016 absolute error 7.216449660063518e-16 relative error 1.742072597849056e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300376873547097 y[1] (closed_form) 0.4132305111573511 y[1] (numeric) 0.4132305111573519 absolute error 7.771561172376096e-16 relative error 1.8806842579484209e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.040042242696788 y[1] (closed_form) 0.4121715965122297 y[1] (numeric) 0.41217159651223073 absolute error 1.0547118733938987e-15 relative error 2.558914496580562e-13% Desired digits 12 Estimated correct digits 11 Correct digits 15 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500467980388666 y[1] (closed_form) 0.41106741965155935 y[1] (numeric) 0.4110674196515611 absolute error 1.7208456881689926e-15 relative error 4.1862857670103477e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060051353380945 y[1] (closed_form) 0.4099170897338533 y[1] (numeric) 0.40991708973385504 absolute error 1.7208456881689926e-15 relative error 4.1980335323084126e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0700559087230235 y[1] (closed_form) 0.4087197205370954 y[1] (numeric) 0.40871972053709765 absolute error 2.275957200481571e-15 relative error 5.568503515051228e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080060464065102 y[1] (closed_form) 0.40747443054744714 y[1] (numeric) 0.40747443054744964 absolute error 2.4980018054066022e-15 relative error 6.130450448266176e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900650194071804 y[1] (closed_form) 0.40618034304747486 y[1] (numeric) 0.40618034304747763 absolute error 2.7755575615628914e-15 relative error 6.833313352237927e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100069574749259 y[1] (closed_form) 0.4048365862039023 y[1] (numeric) 0.40483658620390534 absolute error 3.0531133177191805e-15 relative error 7.541594366131307e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100741300913373 y[1] (closed_form) 0.403442293154872 y[1] (numeric) 0.4034422931548757 absolute error 3.6637359812630166e-15 relative error 9.08118966064025e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1200786854334157 y[1] (closed_form) 0.4019966020967112 y[1] (numeric) 0.4019966020967151 absolute error 3.941291737419306e-15 relative error 9.804291172767477e-13% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130083240775494 y[1] (closed_form) 0.4004986563701878 y[1] (numeric) 0.40049865637019194 absolute error 4.163336342344337e-15 relative error 1.03953815477875e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400877961175726 y[1] (closed_form) 0.39894760454625455 y[1] (numeric) 0.3989476045462593 absolute error 4.773959005888173e-15 relative error 1.1966380926933662e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.150092351459651 y[1] (closed_form) 0.39734260051127057 y[1] (numeric) 0.3973426005112759 absolute error 5.329070518200751e-15 relative error 1.341177742166006e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600969068017295 y[1] (closed_form) 0.3956828035516864 y[1] (numeric) 0.395682803551692 absolute error 5.6066262743570405e-15 relative error 1.416949694055802e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.170101462143808 y[1] (closed_form) 0.3939673784381923 y[1] (numeric) 0.3939673784381983 absolute error 5.995204332975845e-15 relative error 1.5217514599159648e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1801060174858864 y[1] (closed_form) 0.39219549550931765 y[1] (numeric) 0.39219549550932387 absolute error 6.217248937900877e-15 relative error 1.5852423113189912e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.190110572827965 y[1] (closed_form) 0.3903663307544698 y[1] (numeric) 0.39036633075447663 absolute error 6.827871601444713e-15 relative error 1.7490933678240978e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2001151281700433 y[1] (closed_form) 0.38847906589641257 y[1] (numeric) 0.3884790658964194 absolute error 6.827871601444713e-15 relative error 1.7575906144876685e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2101196835121217 y[1] (closed_form) 0.38653288847316425 y[1] (numeric) 0.3865328884731717 absolute error 7.438494264988549e-15 relative error 1.924414321992417e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2201242388542 y[1] (closed_form) 0.38452699191932016 y[1] (numeric) 0.3845269919193283 absolute error 8.1601392309949e-15 relative error 2.1221239087182277e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2301287941962786 y[1] (closed_form) 0.38246057564678093 y[1] (numeric) 0.3824605756467895 absolute error 8.548717289613705e-15 relative error 2.2351891499292258e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.240133349538357 y[1] (closed_form) 0.38033284512488263 y[1] (numeric) 0.380332845124892 absolute error 9.381384558082573e-15 relative error 2.466624873011477e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2501379048804355 y[1] (closed_form) 0.37814301195992384 y[1] (numeric) 0.37814301195993366 absolute error 9.825473767932635e-15 relative error 2.5983486292677953e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.260142460222514 y[1] (closed_form) 0.37589029397407403 y[1] (numeric) 0.3758902939740843 absolute error 1.0269562977782698e-14 relative error 2.7320638873668314e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699856517687524 y[1] (closed_form) 0.37361178538869266 y[1] (numeric) 0.37361178538870365 absolute error 1.099120794378905e-14 relative error 2.941879344719862e-12% Desired digits 12 Estimated correct digits 11 Correct digits 14 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.279990207110831 y[1] (closed_form) 0.37123202175082026 y[1] (numeric) 0.3712320217508323 absolute error 1.2045919817182948e-14 relative error 3.244849342567882e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2899947624529093 y[1] (closed_form) 0.3687870770894208 y[1] (numeric) 0.3687870770894334 absolute error 1.2601031329495527e-14 relative error 3.416885274003275e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999317794988 y[1] (closed_form) 0.36627619476084794 y[1] (numeric) 0.366276194760861 absolute error 1.304512053934559e-14 relative error 3.561552928074705e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3100038731370662 y[1] (closed_form) 0.363698624721176 y[1] (numeric) 0.36369862472118974 absolute error 1.3766765505351941e-14 relative error 3.785212417535541e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200084284791447 y[1] (closed_form) 0.361053623601272 y[1] (numeric) 0.3610536236012864 absolute error 1.4377388168895777e-14 relative error 3.982064499309217e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330012983821223 y[1] (closed_form) 0.35834045478119947 y[1] (numeric) 0.3583404547812143 absolute error 1.482147737874584e-14 relative error 4.136144044298806e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400175391633016 y[1] (closed_form) 0.3555583884639466 y[1] (numeric) 0.3555583884639625 absolute error 1.587618925213974e-14 relative error 4.465142650895318e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.35002209450538 y[1] (closed_form) 0.35270670174847263 y[1] (numeric) 0.3527067017484895 absolute error 1.687538997430238e-14 relative error 4.784539077552545e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3600266498474585 y[1] (closed_form) 0.34978467870206353 y[1] (numeric) 0.34978467870208096 absolute error 1.7430501486614958e-14 relative error 4.983208970528339e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370031205189537 y[1] (closed_form) 0.34679161043198725 y[1] (numeric) 0.3467916104320056 absolute error 1.837419105754634e-14 relative error 5.298337821569039e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3800357605316154 y[1] (closed_form) 0.34372679515645066 y[1] (numeric) 0.34372679515647 absolute error 1.9317880628477724e-14 relative error 5.620126478555446e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390040315873694 y[1] (closed_form) 0.3405895382748394 y[1] (numeric) 0.34058953827485955 absolute error 2.015054789694659e-14 relative error 5.9163731214451064e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4000448712157723 y[1] (closed_form) 0.33737915243724004 y[1] (numeric) 0.3373791524372608 absolute error 2.0761170560490427e-14 relative error 6.153661366006444e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100494265578507 y[1] (closed_form) 0.3340949576132375 y[1] (numeric) 0.33409495761325936 absolute error 2.1871393585115584e-14 relative error 6.546460246321598e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420053981899929 y[1] (closed_form) 0.33073628115998055 y[1] (numeric) 0.3307362811600033 absolute error 2.275957200481571e-14 relative error 6.881486338599383e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4300585372420076 y[1] (closed_form) 0.3273024578895054 y[1] (numeric) 0.32730245788952905 absolute error 2.3647750424515834e-14 relative error 7.225045169840771e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.440063092584086 y[1] (closed_form) 0.3237928301353157 y[1] (numeric) 0.3237928301353406 absolute error 2.4924506902834764e-14 relative error 7.697671036266803e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500676479261645 y[1] (closed_form) 0.320206747818208 y[1] (numeric) 0.3202067478182337 absolute error 2.5701663020072374e-14 relative error 8.026583822856869e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.460072203268243 y[1] (closed_form) 0.3165435685113378 y[1] (numeric) 0.3165435685113647 absolute error 2.6922908347160046e-14 relative error 8.505277322099732e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4700767586103214 y[1] (closed_form) 0.31280265750452196 y[1] (numeric) 0.31280265750454955 absolute error 2.758904216193514e-14 relative error 8.819951333545273e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4800813139524 y[1] (closed_form) 0.3089833878677646 y[1] (numeric) 0.30898338786779345 absolute error 2.886579864025407e-14 relative error 9.342184652531465e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4900858692944783 y[1] (closed_form) 0.30508514051400937 y[1] (numeric) 0.305085140514039 absolute error 2.964295475749168e-14 relative error 9.716289265202836e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000904246365567 y[1] (closed_form) 0.30110730426110166 y[1] (numeric) 0.3011073042611327 absolute error 3.1030733538273125e-14 relative error 1.0305539951752612e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510094979978635 y[1] (closed_form) 0.2970492758929639 y[1] (numeric) 0.2970492758929962 absolute error 3.22519788653608e-14 relative error 1.0857450760789664e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200995353207136 y[1] (closed_form) 0.2929104602199706 y[1] (numeric) 0.29291046022000394 absolute error 3.3362201889985954e-14 relative error 1.138989774039873e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530104090662792 y[1] (closed_form) 0.2886902701385208 y[1] (numeric) 0.2886902701385554 absolute error 3.4638958368304884e-14 relative error 1.1998658060655889e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5401086460048705 y[1] (closed_form) 0.2843881266898025 y[1] (numeric) 0.2843881266898379 absolute error 3.5360603334311236e-14 relative error 1.243392392850527e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.550113201346949 y[1] (closed_form) 0.2800034591177396 y[1] (numeric) 0.2800034591177761 absolute error 3.647082635893639e-14 relative error 1.3025134215788616e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5601177566890274 y[1] (closed_form) 0.27553570492612023 y[1] (numeric) 0.2755357049261581 absolute error 3.785860513971784e-14 relative error 1.3739999739732069e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.570122312031106 y[1] (closed_form) 0.2709843099348963 y[1] (numeric) 0.27098430993493544 absolute error 3.913536161803677e-14 relative error 1.444192899117997e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5801268673731843 y[1] (closed_form) 0.26634872833565204 y[1] (numeric) 0.2663487283356925 absolute error 4.0467629247586956e-14 relative error 1.519347567396295e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5901314227152628 y[1] (closed_form) 0.261628422746234 y[1] (numeric) 0.2616284227462754 absolute error 4.141131881851834e-14 relative error 1.5828295100293888e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600135978057341 y[1] (closed_form) 0.25682286426453693 y[1] (numeric) 0.25682286426457984 absolute error 4.29101199017623e-14 relative error 1.670806064119093e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6101405333994196 y[1] (closed_form) 0.2519315325214433 y[1] (numeric) 0.2519315325214878 absolute error 4.451994328746878e-14 relative error 1.7671445428800955e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.620145088741498 y[1] (closed_form) 0.24695391573290681 y[1] (numeric) 0.2469539157329522 absolute error 4.5380366131553274e-14 relative error 1.8376046395892926e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299882802877366 y[1] (closed_form) 0.24197188592453145 y[1] (numeric) 0.24197188592457822 absolute error 4.676814491233472e-14 relative error 1.932792511561497e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.639992835629815 y[1] (closed_form) 0.23682160995075652 y[1] (numeric) 0.23682160995080476 absolute error 4.823919041996305e-14 relative error 2.0369420860703407e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499973909718935 y[1] (closed_form) 0.2315835733624425 y[1] (numeric) 0.2315835733624921 absolute error 4.959921362512887e-14 relative error 2.1417414415444337e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.660001946313972 y[1] (closed_form) 0.22625729907733216 y[1] (numeric) 0.22625729907738304 absolute error 5.08759701034478e-14 relative error 2.2485891200380223e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6700065016560504 y[1] (closed_form) 0.22084231884490446 y[1] (numeric) 0.2208423188449568 absolute error 5.234701561107613e-14 relative error 2.3703344487991436e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.680011056998129 y[1] (closed_form) 0.21533817329324334 y[1] (numeric) 0.21533817329329713 absolute error 5.3790305543088834e-14 relative error 2.497945660096143e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6900156123402073 y[1] (closed_form) 0.20974441197501514 y[1] (numeric) 0.2097444119750707 absolute error 5.5566662382489085e-14 relative error 2.6492559138647382e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7000201676822857 y[1] (closed_form) 0.20406059341255567 y[1] (numeric) 0.2040605934126125 absolute error 5.684341886080802e-14 relative error 2.7856146995459283e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.710024723024364 y[1] (closed_form) 0.19828628514205482 y[1] (numeric) 0.19828628514211322 absolute error 5.839773109528323e-14 relative error 2.9451220518578156e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7200292783664426 y[1] (closed_form) 0.1924210637568451 y[1] (numeric) 0.19242106375690526 absolute error 6.017408793468348e-14 relative error 3.1272089842889086e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.730033833708521 y[1] (closed_form) 0.18646451494977967 y[1] (numeric) 0.1864645149498411 absolute error 6.142308883738679e-14 relative error 3.294089969554251e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7400383890505995 y[1] (closed_form) 0.18041623355469838 y[1] (numeric) 0.18041623355476147 absolute error 6.308842337432452e-14 relative error 3.496826318303416e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.750042944392678 y[1] (closed_form) 0.17427582358698412 y[1] (numeric) 0.17427582358704896 absolute error 6.483702463810914e-14 relative error 3.720368281934863e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600474997347564 y[1] (closed_form) 0.16804289828319563 y[1] (numeric) 0.16804289828326185 absolute error 6.622480341889059e-14 relative error 3.940946275949414e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.770052055076835 y[1] (closed_form) 0.16171708013977737 y[1] (numeric) 0.16171708013984554 absolute error 6.816769371198461e-14 relative error 4.215243909490886e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800566104189133 y[1] (closed_form) 0.15529800095084711 y[1] (numeric) 0.15529800095091673 absolute error 6.961098364399732e-14 relative error 4.48241337414444e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7900611657609917 y[1] (closed_form) 0.14878530184504646 y[1] (numeric) 0.1487853018451177 absolute error 7.124856260531942e-14 relative error 4.7886828686560555e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.80006572110307 y[1] (closed_form) 0.14217863332146274 y[1] (numeric) 0.14217863332153569 absolute error 7.294165271787278e-14 relative error 5.13028230852053e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100702764451486 y[1] (closed_form) 0.1354776552846091 y[1] (numeric) 0.1354776552846842 absolute error 7.510658761589184e-14 relative error 5.543835805108174e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820074831787227 y[1] (closed_form) 0.12868203707846693 y[1] (numeric) 0.12868203707854373 absolute error 7.67996777284452e-14 relative error 5.968173917049105e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300793871293055 y[1] (closed_form) 0.1217914575195782 y[1] (numeric) 0.12179145751965686 absolute error 7.865930129469234e-14 relative error 6.458523684392865e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840083942471384 y[1] (closed_form) 0.11480560492919567 y[1] (numeric) 0.11480560492927587 absolute error 8.019973574135975e-14 relative error 6.985698632991092e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500884978134624 y[1] (closed_form) 0.10772417716447658 y[1] (numeric) 0.10772417716455868 absolute error 8.210099267103033e-14 relative error 7.621408195643585e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.860093053155541 y[1] (closed_form) 0.10054688164872605 y[1] (numeric) 0.10054688164881027 absolute error 8.422429420562594e-14 relative error 8.376619227225241e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8700976084976193 y[1] (closed_form) 0.09327343540068078 y[1] (numeric) 0.09327343540076706 absolute error 8.627820680118248e-14 relative error 9.250029918009511e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8801021638396977 y[1] (closed_form) 0.08590356506283214 y[1] (numeric) 0.08590356506292024 absolute error 8.809619700400617e-14 relative error 1.0255243416215646e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890106719181776 y[1] (closed_form) 0.07843700692878652 y[1] (numeric) 0.07843700692887655 absolute error 9.002520950929238e-14 relative error 1.1477389695788221e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9001112745238546 y[1] (closed_form) 0.07087350696966022 y[1] (numeric) 0.07087350696975243 absolute error 9.221789998292707e-14 relative error 1.3011618011565878e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.910115829865933 y[1] (closed_form) 0.06321282085950575 y[1] (numeric) 0.06321282085959992 absolute error 9.41746680638289e-14 relative error 1.489803283310797e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9201203852080115 y[1] (closed_form) 0.055454713999765204 y[1] (numeric) 0.05545471399986149 absolute error 9.62840918106167e-14 relative error 1.736265230959885e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.93012494055009 y[1] (closed_form) 0.04759896154275234 y[1] (numeric) 0.047598961542850905 absolute error 9.856698790500218e-14 relative error 2.0707802168429975e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9401294958921684 y[1] (closed_form) 0.03964534841415768 y[1] (numeric) 0.03964534841425837 absolute error 1.0069028943959779e-13 relative error 2.5397756222931935e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.950134051234247 y[1] (closed_form) 0.03159366933457486 y[1] (numeric) 0.031593669334677325 absolute error 1.0246664627899804e-13 relative error 3.243265136248755e-10% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9601386065763253 y[1] (closed_form) 0.023443728840045974 y[1] (numeric) 0.023443728840150946 absolute error 1.0497158697830855e-13 relative error 4.4775977274996797e-10% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9701431619184038 y[1] (closed_form) 0.015195341301629028 y[1] (numeric) 0.01519534130173625 absolute error 1.0722152332665047e-13 relative error 7.056210268548275e-10% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799863534646422 y[1] (closed_form) 0.006983743544122678 y[1] (numeric) 0.0069837435442318425 absolute error 1.0916441361974449e-13 relative error 1.563121740225043e-09% Desired digits 12 Estimated correct digits 9 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899909088067207 y[1] (closed_form) -0.0014604609059287732 y[1] (numeric) -0.0014604609058173417 absolute error 1.1143148036241168e-13 relative error 7.629884504956836e-09% Desired digits 12 Estimated correct digits 9 Correct digits 10 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.999995464148799 y[1] (closed_form) -0.010003607657895763 y[1] (numeric) -0.01000360765778194 absolute error 1.138238808762182e-13 relative error 1.1378283192301926e-09% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0100000194908776 y[1] (closed_form) -0.01864584298459171 y[1] (numeric) -0.018645842984475546 absolute error 1.161640228453109e-13 relative error 6.230022581510791e-10% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.020004574832956 y[1] (closed_form) -0.027387303241025673 y[1] (numeric) -0.02738730324090732 absolute error 1.1835324387199364e-13 relative error 4.321463958331708e-10% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0300091301750345 y[1] (closed_form) -0.036228114850755055 y[1] (numeric) -0.03622811485063412 absolute error 1.2093798185119908e-13 relative error 3.338235576137866e-10% Desired digits 12 Estimated correct digits 10 Correct digits 11 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.040013685517113 y[1] (closed_form) -0.04516839429322994 y[1] (numeric) -0.04516839429310686 absolute error 1.2308210006750642e-13 relative error 2.724960716302341e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0500182408591914 y[1] (closed_form) -0.054208248092137534 y[1] (numeric) -0.05420824809201183 absolute error 1.2570500196318335e-13 relative error 2.3189275873576117e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.06002279620127 y[1] (closed_form) -0.06334777280473691 y[1] (numeric) -0.06334777280460889 absolute error 1.2802259252708836e-13 relative error 2.0209485962782783e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0700273515433483 y[1] (closed_form) -0.07258705501219742 y[1] (numeric) -0.072587055012067 absolute error 1.3042344981784026e-13 relative error 1.796786628082984e-10% Desired digits 12 Estimated correct digits 10 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0800319068854267 y[1] (closed_form) -0.08192617131093138 y[1] (numeric) -0.08192617131079825 absolute error 1.3312961844036408e-13 relative error 1.6249949962277884e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.090036462227505 y[1] (closed_form) -0.0913651883049269 y[1] (numeric) -0.09136518830479129 absolute error 1.3561374245796287e-13 relative error 1.4843043064209376e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1000410175695836 y[1] (closed_form) -0.10090416259908297 y[1] (numeric) -0.10090416259894487 absolute error 1.3809786647556166e-13 relative error 1.3686042569349534e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.110045572911662 y[1] (closed_form) -0.11054314079354333 y[1] (numeric) -0.1105431407934025 absolute error 1.408317906737011e-13 relative error 1.2739984558311637e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1200501282537405 y[1] (closed_form) -0.12028215947903087 y[1] (numeric) -0.12028215947888775 absolute error 1.431216256619905e-13 relative error 1.1898824088450233e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130054683595819 y[1] (closed_form) -0.1301212452331879 y[1] (numeric) -0.13012124523304242 absolute error 1.4549472737712676e-13 relative error 1.118147364147863e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1400592389378974 y[1] (closed_form) -0.1400604146179143 y[1] (numeric) -0.14006041461776592 absolute error 1.4838130724115217e-13 relative error 1.0594093102318548e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.150063794279976 y[1] (closed_form) -0.1500996741777092 y[1] (numeric) -0.1500996741775579 absolute error 1.512956426807932e-13 relative error 1.0079678287753515e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1600683496220543 y[1] (closed_form) -0.16023902043901694 y[1] (numeric) -0.1602390204388632 absolute error 1.5373813333496855e-13 relative error 9.594300621269558e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1700729049641327 y[1] (closed_form) -0.17047843991057565 y[1] (numeric) -0.17047843991041914 absolute error 1.5651369089653144e-13 relative error 9.180849553681427e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.180077460306211 y[1] (closed_form) -0.18081790908476547 y[1] (numeric) -0.180817909084606 absolute error 1.5948353748740374e-13 relative error 8.82011844372338e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1900820156482896 y[1] (closed_form) -0.1912573944399627 y[1] (numeric) -0.19125739443980053 absolute error 1.6217582832211974e-13 relative error 8.479454025660069e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.200086570990368 y[1] (closed_form) -0.20179685244389534 y[1] (numeric) -0.20179685244373044 absolute error 1.6489587473245138e-13 relative error 8.171379916755472e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2100911263324465 y[1] (closed_form) -0.21243622955799957 y[1] (numeric) -0.21243622955783176 absolute error 1.678102101720924e-13 relative error 7.899321623305157e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.220095681674525 y[1] (closed_form) -0.22317546224277773 y[1] (numeric) -0.22317546224260726 absolute error 1.7047474543119279e-13 relative error 7.63859717004841e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2301002370166034 y[1] (closed_form) -0.23401447696416033 y[1] (numeric) -0.2340144769639867 absolute error 1.7363888105137448e-13 relative error 7.420005945955538e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.240104792358682 y[1] (closed_form) -0.24495319020086326 y[1] (numeric) -0.24495319020068665 absolute error 1.7660872764224678e-13 relative error 7.209897021444237e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2501093477007603 y[1] (closed_form) -0.2559915084527491 y[1] (numeric) -0.2559915084525698 absolute error 1.7930101847696278e-13 relative error 7.004178363598266e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2601139030428388 y[1] (closed_form) -0.2671293282501863 y[1] (numeric) -0.26712932825000396 absolute error 1.8235413179468196e-13 relative error 6.826436205608015e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.270118458384917 y[1] (closed_form) -0.27836653616440366 y[1] (numeric) -0.278366536164218 absolute error 1.8562928971732617e-13 relative error 6.668520299713513e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2801230137269957 y[1] (closed_form) -0.28970300881884414 y[1] (numeric) -0.28970300881865524 absolute error 1.8890444763997039e-13 relative error 6.520624290723032e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.290127569069074 y[1] (closed_form) -0.3011386129015139 y[1] (numeric) -0.3011386129013217 absolute error 1.921796055626146e-13 relative error 6.381765649743034e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3001321244111526 y[1] (closed_form) -0.31267320517832564 y[1] (numeric) -0.3126732051781306 absolute error 1.9506618542664e-13 relative error 6.238660115291577e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.310136679753231 y[1] (closed_form) -0.32430663250743486 y[1] (numeric) -0.3243066325072368 absolute error 1.9806378759312793e-13 relative error 6.10729993592059e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3201412350953095 y[1] (closed_form) -0.33603873185456745 y[1] (numeric) -0.3360387318543664 absolute error 2.0106138975961585e-13 relative error 5.98328022040722e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329984426641548 y[1] (closed_form) -0.3476777336155039 y[1] (numeric) -0.3476777336152997 absolute error 2.0422552537979755e-13 relative error 5.873989204199373e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399889819836264 y[1] (closed_form) -0.3596050641631585 y[1] (numeric) -0.3596050641629512 absolute error 2.0733414984874798e-13 relative error 5.7656070648292424e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.349993537325705 y[1] (closed_form) -0.371630521624148 y[1] (numeric) -0.37163052162393756 absolute error 2.1044277431769842e-13 relative error 5.662688129004961e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599980926677833 y[1] (closed_form) -0.38375390372578755 y[1] (numeric) -0.383753903725574 absolute error 2.1355139878664886e-13 relative error 5.564800689017685e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3700026480098617 y[1] (closed_form) -0.39597499839408723 y[1] (numeric) -0.3959749983938701 absolute error 2.1710411246544936e-13 relative error 5.482773239369529e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.38000720335194 y[1] (closed_form) -0.40829358377497593 y[1] (numeric) -0.4082935837747557 absolute error 2.202127369343998e-13 relative error 5.393490020057878e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3900117586940186 y[1] (closed_form) -0.42070942825651025 y[1] (numeric) -0.42070942825628665 absolute error 2.2359891715950653e-13 relative error 5.314806423191836e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.400016314036097 y[1] (closed_form) -0.4332222904920542 y[1] (numeric) -0.4332222904918273 absolute error 2.2687407508215074e-13 relative error 5.236897548010907e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4100208693781755 y[1] (closed_form) -0.4458319194244367 y[1] (numeric) -0.4458319194242063 absolute error 2.3037127760972e-13 relative error 5.167222614009476e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.420025424720254 y[1] (closed_form) -0.4585380543110791 y[1] (numeric) -0.4585380543108453 absolute error 2.337574578348267e-13 relative error 5.09788567463677e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4300299800623324 y[1] (closed_form) -0.4713404247500943 y[1] (numeric) -0.47134042474985693 absolute error 2.3736568266485847e-13 relative error 5.03597124712378e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.440034535404411 y[1] (closed_form) -0.48423875070735 y[1] (numeric) -0.48423875070710926 absolute error 2.407518628899652e-13 relative error 4.971759540893573e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4500390907464893 y[1] (closed_form) -0.49723274254449823 y[1] (numeric) -0.49723274254425404 absolute error 2.441935542663032e-13 relative error 4.911051372375178e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4600436460885677 y[1] (closed_form) -0.510322101047965 y[1] (numeric) -0.5103221010477176 absolute error 2.474687121889474e-13 relative error 4.849265036351774e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.470048201430646 y[1] (closed_form) -0.5235065174588991 y[1] (numeric) -0.5235065174586482 absolute error 2.509104035652854e-13 relative error 4.792880225889156e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4800527567727246 y[1] (closed_form) -0.5367856735040748 y[1] (numeric) -0.5367856735038209 absolute error 2.539080057317733e-13 relative error 4.7301561547701374e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.490057312114803 y[1] (closed_form) -0.5501592414277496 y[1] (numeric) -0.5501592414274922 absolute error 2.574607194105738e-13 relative error 4.679749062151947e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5000618674568815 y[1] (closed_form) -0.5636268840244676 y[1] (numeric) -0.5636268840242069 absolute error 2.6068036618198676e-13 relative error 4.625052025919161e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.51006642279896 y[1] (closed_form) -0.5771882546728118 y[1] (numeric) -0.5771882546725476 absolute error 2.6412205755832474e-13 relative error 4.576012339475731e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5200709781410384 y[1] (closed_form) -0.5908429973700975 y[1] (numeric) -0.5908429973698291 absolute error 2.6834090505190034e-13 relative error 4.541661765415061e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.530075533483117 y[1] (closed_form) -0.6045907467680025 y[1] (numeric) -0.6045907467677308 absolute error 2.716715741257758e-13 relative error 4.493478862818643e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5400800888251953 y[1] (closed_form) -0.6184311282091395 y[1] (numeric) -0.6184311282088634 absolute error 2.7611246622427643e-13 relative error 4.4647245849969795e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500846441672738 y[1] (closed_form) -0.63236375776455 y[1] (numeric) -0.6323637577642705 absolute error 2.795541576006144e-13 relative error 4.420780826985687e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.560089199509352 y[1] (closed_form) -0.646388242272137 y[1] (numeric) -0.6463882422718534 absolute error 2.83550960489265e-13 relative error 4.386697373896333e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5700937548514307 y[1] (closed_form) -0.6605041793760127 y[1] (numeric) -0.6605041793757255 absolute error 2.87214696470528e-13 relative error 4.348416034882075e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580098310193509 y[1] (closed_form) -0.6747111575667737 y[1] (numeric) -0.6747111575664825 absolute error 2.9121149935917856e-13 relative error 4.3160913539562805e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5901028655355876 y[1] (closed_form) -0.6890087562226861 y[1] (numeric) -0.6890087562223913 absolute error 2.9476421303797906e-13 relative error 4.278090958581547e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.600107420877666 y[1] (closed_form) -0.7033965456517888 y[1] (numeric) -0.7033965456514901 absolute error 2.986499936241671e-13 relative error 4.245826845046969e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6101119762197444 y[1] (closed_form) -0.7178740871348985 y[1] (numeric) -0.7178740871345961 absolute error 3.0242475190789264e-13 relative error 4.212782677738064e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.620116531561823 y[1] (closed_form) -0.7324409329695225 y[1] (numeric) -0.7324409329692162 absolute error 3.063105324940807e-13 relative error 4.1820509846740985e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6301210869039013 y[1] (closed_form) -0.7470966265146703 y[1] (numeric) -0.7470966265143599 absolute error 3.1041835768519377e-13 relative error 4.154996109851906e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.64012564224598 y[1] (closed_form) -0.7618407022365576 y[1] (numeric) -0.7618407022362423 absolute error 3.1530333899354446e-13 relative error 4.138704299572068e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6501301975880582 y[1] (closed_form) -0.7766726857552015 y[1] (numeric) -0.7766726857548826 absolute error 3.1896707497480747e-13 relative error 4.106840382376242e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6601347529301367 y[1] (closed_form) -0.7915920938919032 y[1] (numeric) -0.7915920938915808 absolute error 3.2240876635114546e-13 relative error 4.0729154426746e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.670139308272215 y[1] (closed_form) -0.8065984347176074 y[1] (numeric) -0.8065984347172814 absolute error 3.2596148002994596e-13 relative error 4.041186617775499e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6801438636142936 y[1] (closed_form) -0.8216912076021416 y[1] (numeric) -0.8216912076018107 absolute error 3.3095748364075916e-13 relative error 4.027759827278169e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.689987055160532 y[1] (closed_form) -0.8366244065488293 y[1] (numeric) -0.8366244065484947 absolute error 3.346212196220222e-13 relative error 3.999658831402884e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6999916105026105 y[1] (closed_form) -0.8518871337631277 y[1] (numeric) -0.8518871337627884 absolute error 3.3939517862791035e-13 relative error 3.984039260326253e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709996165844689 y[1] (closed_form) -0.8672347480027787 y[1] (numeric) -0.8672347480024356 absolute error 3.4305891460917337e-13 relative error 3.955779163591289e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7200007211867674 y[1] (closed_form) -0.8826667144794542 y[1] (numeric) -0.8826667144791069 absolute error 3.4727776210274897e-13 relative error 3.9344155206708265e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.730005276528846 y[1] (closed_form) -0.8981824899619841 y[1] (numeric) -0.8981824899616331 absolute error 3.510525203864745e-13 relative error 3.9084765547069715e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7400098318709243 y[1] (closed_form) -0.9137815228307313 y[1] (numeric) -0.9137815228303762 absolute error 3.551603455775876e-13 relative error 3.886709642337312e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7500143872130027 y[1] (closed_form) -0.9294632531328033 y[1] (numeric) -0.9294632531324439 absolute error 3.5937919307116317e-13 relative error 3.866523951967518e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.760018942555081 y[1] (closed_form) -0.9452271126380953 y[1] (numeric) -0.945227112637732 absolute error 3.6337599595981374e-13 relative error 3.844324724728264e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7700234978971596 y[1] (closed_form) -0.961072524896168 y[1] (numeric) -0.961072524895801 absolute error 3.6703973194107675e-13 relative error 3.819063831636752e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.780028053239238 y[1] (closed_form) -0.976998905293943 y[1] (numeric) -0.9769989052935716 absolute error 3.7136960173711486e-13 relative error 3.8011260782875026e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7900326085813165 y[1] (closed_form) -0.9930056611142164 y[1] (numeric) -0.9930056611138405 absolute error 3.75921516138078e-13 relative error 3.7856935852336416e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.800037163923395 y[1] (closed_form) -1.009092191594986 y[1] (numeric) -1.0090921915946056 absolute error 3.8036240823657863e-13 relative error 3.769352408082479e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8100417192654734 y[1] (closed_form) -1.025257887989579 y[1] (numeric) -1.0252578879891943 absolute error 3.8480330033507926e-13 relative error 3.7532342334828294e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.820046274607552 y[1] (closed_form) -1.0415021336275845 y[1] (numeric) -1.0415021336271952 absolute error 3.892441924335799e-13 relative error 3.7373345657759736e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8300508299496303 y[1] (closed_form) -1.0578243039765733 y[1] (numeric) -1.0578243039761803 absolute error 3.930189507173054e-13 relative error 3.7153518711932456e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8400553852917088 y[1] (closed_form) -1.0742237667046108 y[1] (numeric) -1.0742237667042134 absolute error 3.9745984281580604e-13 relative error 3.699972530258672e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.850059940633787 y[1] (closed_form) -1.0906998817435443 y[1] (numeric) -1.0906998817431424 absolute error 4.0190073491430667e-13 relative error 3.684796722191315e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8600644959758657 y[1] (closed_form) -1.1072520013530691 y[1] (numeric) -1.107252001352662 absolute error 4.070077608275824e-13 relative error 3.6758367592040137e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.870069051317944 y[1] (closed_form) -1.1238794701855608 y[1] (numeric) -1.1238794701851489 absolute error 4.118927421359331e-13 relative error 3.6649191756116565e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8800736066600225 y[1] (closed_form) -1.1405816253516696 y[1] (numeric) -1.140581625351254 absolute error 4.156675004196586e-13 relative error 3.644346806757456e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.890078162002101 y[1] (closed_form) -1.1573577964866688 y[1] (numeric) -1.157357796486248 absolute error 4.2077452633293433e-13 relative error 3.63564774532351e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9000827173441794 y[1] (closed_form) -1.1742073058175508 y[1] (numeric) -1.1742073058171252 absolute error 4.25659507641285e-13 relative error 3.625079707240591e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.910087272686258 y[1] (closed_form) -1.191129468230867 y[1] (numeric) -1.1911294682304372 absolute error 4.298783551348606e-13 relative error 3.60899773366652e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9200918280283363 y[1] (closed_form) -1.2081235913413013 y[1] (numeric) -1.2081235913408666 absolute error 4.347633364432113e-13 relative error 3.598666059989125e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.930096383370415 y[1] (closed_form) -1.2251889755609686 y[1] (numeric) -1.2251889755605292 absolute error 4.3942627314663696e-13 relative error 3.5865999605933437e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9401009387124932 y[1] (closed_form) -1.2423249141694401 y[1] (numeric) -1.2423249141689967 absolute error 4.434230760352875e-13 relative error 3.569300357561768e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9501054940545717 y[1] (closed_form) -1.2595306933844772 y[1] (numeric) -1.2595306933840296 absolute error 4.476419235288631e-13 relative error 3.554037435372117e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.96011004939665 y[1] (closed_form) -1.2768055924334738 y[1] (numeric) -1.2768055924330215 absolute error 4.5230486023228877e-13 relative error 3.5424724242493126e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9701146047387286 y[1] (closed_form) -1.2941488836256 y[1] (numeric) -1.294148883625142 absolute error 4.580780199603396e-13 relative error 3.53960835384735e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.980119160080807 y[1] (closed_form) -1.3115598324246367 y[1] (numeric) -1.311559832424174 absolute error 4.627409566637652e-13 relative error 3.5281726782400125e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9901237154228855 y[1] (closed_form) -1.3290376975224945 y[1] (numeric) -1.3290376975220268 absolute error 4.676259379721159e-13 relative error 3.518530278289576e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0001282707649635 y[1] (closed_form) -1.3465817309134112 y[1] (numeric) -1.3465817309129395 absolute error 4.716227408607665e-13 relative error 3.502369964137685e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010132826107042 y[1] (closed_form) -1.3641911779688232 y[1] (numeric) -1.3641911779683478 absolute error 4.75397499144492e-13 relative error 3.484830475537327e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.02013738144912 y[1] (closed_form) -1.3818652775128921 y[1] (numeric) -1.3818652775124125 absolute error 4.796163466380676e-13 relative error 3.470789478850575e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030141936791199 y[1] (closed_form) -1.3996032618986938 y[1] (numeric) -1.3996032618982088 absolute error 4.849454171562684e-13 relative error 3.4648777289815274e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039985128337437 y[1] (closed_form) -1.417116745983651 y[1] (numeric) -1.4171167459831613 absolute error 4.89608353859694e-13 relative error 3.454961316682815e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049989683679516 y[1] (closed_form) -1.4349791725074335 y[1] (numeric) -1.4349791725069387 absolute error 4.947153797729698e-13 relative error 3.447543973119283e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059994239021594 y[1] (closed_form) -1.4529031556133187 y[1] (numeric) -1.4529031556128194 absolute error 4.993783164763954e-13 relative error 3.43710669597652e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069998794363673 y[1] (closed_form) -1.4708879026434643 y[1] (numeric) -1.4708879026429604 absolute error 5.03819208574896e-13 relative error 3.4252726374962866e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080003349705751 y[1] (closed_form) -1.4889326148581472 y[1] (numeric) -1.4889326148576385 absolute error 5.087041898832467e-13 relative error 3.416569593592466e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0900079050478295 y[1] (closed_form) -1.5070364875157125 y[1] (numeric) -1.5070364875151996 absolute error 5.129230373768223e-13 relative error 3.403521027034686e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100012460389908 y[1] (closed_form) -1.5251987099531195 y[1] (numeric) -1.5251987099526014 absolute error 5.18030063290098e-13 relative error 3.396475881532977e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110017015731986 y[1] (closed_form) -1.54341846566708 y[1] (numeric) -1.5434184656665564 absolute error 5.235811784132238e-13 relative error 3.3923475069149643e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120021571074065 y[1] (closed_form) -1.5616949323957843 y[1] (numeric) -1.5616949323952556 absolute error 5.286882043264995e-13 relative error 3.385348785856934e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.130026126416143 y[1] (closed_form) -1.5800272822011996 y[1] (numeric) -1.580027282200666 absolute error 5.335731856348502e-13 relative error 3.3769871675349046e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.140030681758222 y[1] (closed_form) -1.5984146815519407 y[1] (numeric) -1.5984146815514024 absolute error 5.382361223382759e-13 relative error 3.3673121784372565e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1500352371003 y[1] (closed_form) -1.6168562914066968 y[1] (numeric) -1.6168562914061537 absolute error 5.431211036466266e-13 relative error 3.359117978098725e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160039792442379 y[1] (closed_form) -1.6353512672982111 y[1] (numeric) -1.6353512672976633 absolute error 5.477840403500522e-13 relative error 3.34964145810126e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.170044347784457 y[1] (closed_form) -1.6538987594178063 y[1] (numeric) -1.653898759417253 absolute error 5.53335155473178e-13 relative error 3.3456410334811494e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1800489031265355 y[1] (closed_form) -1.6724979127004387 y[1] (numeric) -1.6724979126998807 absolute error 5.579980921766037e-13 relative error 3.3363156267002574e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.190053458468614 y[1] (closed_form) -1.6911478669102848 y[1] (numeric) -1.6911478669097224 absolute error 5.624389842751043e-13 relative error 3.325782418439118e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200058013810692 y[1] (closed_form) -1.709847756726841 y[1] (numeric) -1.709847756726273 absolute error 5.679900993982301e-13 relative error 3.321875279033805e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.210062569152771 y[1] (closed_form) -1.7285967118315337 y[1] (numeric) -1.728596711830961 absolute error 5.726530361016557e-13 relative error 3.312820348332733e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220067124494849 y[1] (closed_form) -1.7473938569948317 y[1] (numeric) -1.7473938569942538 absolute error 5.779821066198565e-13 relative error 3.307680774464151e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.230071679836928 y[1] (closed_form) -1.7662383121638454 y[1] (numeric) -1.7662383121632623 absolute error 5.830891325331322e-13 relative error 3.3013049740653675e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.240076235179006 y[1] (closed_form) -1.7851291925504134 y[1] (numeric) -1.7851291925498267 absolute error 5.866418462119327e-13 relative error 3.286271092647349e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250080790521085 y[1] (closed_form) -1.8040656087196605 y[1] (numeric) -1.8040656087190687 absolute error 5.917488721252084e-13 relative error 3.280085099261832e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.260085345863163 y[1] (closed_form) -1.8230466666790215 y[1] (numeric) -1.8230466666784255 absolute error 5.95967719618784e-13 relative error 3.2690755015308356e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.270089901205242 y[1] (closed_form) -1.8420714679677221 y[1] (numeric) -1.8420714679671208 absolute error 6.012967901369848e-13 relative error 3.264242460692199e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.28009445654732 y[1] (closed_form) -1.8611391097467047 y[1] (numeric) -1.861139109746098 absolute error 6.066258606551855e-13 relative error 3.2594332013029665e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2900990118893985 y[1] (closed_form) -1.8802486848889948 y[1] (numeric) -1.8802486848883833 absolute error 6.115108419635362e-13 relative error 3.25228703457191e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.300103567231477 y[1] (closed_form) -1.8993992820704948 y[1] (numeric) -1.8993992820698786 absolute error 6.161737786669619e-13 relative error 3.2440455489447374e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.310108122573555 y[1] (closed_form) -1.9185899858612 y[1] (numeric) -1.9185899858605782 absolute error 6.219469383950127e-13 relative error 3.241687609016882e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320112677915634 y[1] (closed_form) -1.9378198768168229 y[1] (numeric) -1.9378198768161958 absolute error 6.270539643082884e-13 relative error 3.235873322438638e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330117233257712 y[1] (closed_form) -1.9570880315708208 y[1] (numeric) -1.9570880315701888 absolute error 6.319389456166391e-13 relative error 3.2289755770946335e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.340121788599791 y[1] (closed_form) -1.9763935229268172 y[1] (numeric) -1.9763935229261802 absolute error 6.370459715299148e-13 relative error 3.223274940643001e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.350126343941869 y[1] (closed_form) -1.9957354199514041 y[1] (numeric) -1.995735419950761 absolute error 6.430411758628907e-13 relative error 3.22207628042473e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360130899283948 y[1] (closed_form) -2.0151127880673183 y[1] (numeric) -2.0151127880666704 absolute error 6.479261571712414e-13 relative error 3.215334451788493e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370135454626026 y[1] (closed_form) -2.0345246891469855 y[1] (numeric) -2.034524689146332 absolute error 6.532552276894421e-13 relative error 3.210849350583857e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3801400099681045 y[1] (closed_form) -2.053970181606417 y[1] (numeric) -2.0539701816057585 absolute error 6.585842982076429e-13 relative error 3.206396587960989e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390144565310183 y[1] (closed_form) -2.073448320499453 y[1] (numeric) -2.0734483204987915 absolute error 6.616929226765933e-13 relative error 3.1912679768030315e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399987756856421 y[1] (closed_form) -2.0926432363002156 y[1] (numeric) -2.0926432362995495 absolute error 6.661338147750939e-13 relative error 3.183217297721592e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4099923121985 y[1] (closed_form) -2.112183331894852 y[1] (numeric) -2.1121833318941814 absolute error 6.705747068735946e-13 relative error 3.1747940472194625e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.419996867540578 y[1] (closed_form) -2.131753235277509 y[1] (numeric) -2.1317532352768316 absolute error 6.772360450213455e-13 relative error 3.1768969963973516e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.430001422882657 y[1] (closed_form) -2.1513519890497 y[1] (numeric) -2.1513519890490165 absolute error 6.834532939592464e-13 relative error 3.176854821702807e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440005978224735 y[1] (closed_form) -2.1709786329252956 y[1] (numeric) -2.1709786329246077 absolute error 6.87894186057747e-13 relative error 3.1685903104944e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450010533566814 y[1] (closed_form) -2.190632203826638 y[1] (numeric) -2.1906322038259454 absolute error 6.927791673660977e-13 relative error 3.1624622616062053e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.460015088908892 y[1] (closed_form) -2.210311735980936 y[1] (numeric) -2.2103117359802384 absolute error 6.976641486744484e-13 relative error 3.1564061182746477e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4700196442509705 y[1] (closed_form) -2.2300162610169267 y[1] (numeric) -2.230016261016225 absolute error 7.016609515630989e-13 relative error 3.146438722572943e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.480024199593049 y[1] (closed_form) -2.2497448080618048 y[1] (numeric) -2.2497448080610982 absolute error 7.065459328714496e-13 relative error 3.140560344175887e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.490028754935127 y[1] (closed_form) -2.269496403838394 y[1] (numeric) -2.269496403837682 absolute error 7.118750033896504e-13 relative error 3.1367091050933496e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.500033310277206 y[1] (closed_form) -2.2892700727625637 y[1] (numeric) -2.2892700727618456 absolute error 7.180922523275513e-13 relative error 3.136773860241826e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510037865619284 y[1] (closed_form) -2.309064837040875 y[1] (numeric) -2.3090648370401516 absolute error 7.23421322845752e-13 relative error 3.13296236312201e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.520042420961363 y[1] (closed_form) -2.328879716768451 y[1] (numeric) -2.3288797167677218 absolute error 7.291944825738028e-13 relative error 3.13109551052998e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530046976303441 y[1] (closed_form) -2.3487137300270504 y[1] (numeric) -2.348713730026317 absolute error 7.336353746723034e-13 relative error 3.123562336666096e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.54005153164552 y[1] (closed_form) -2.368565892983354 y[1] (numeric) -2.3685658929826134 absolute error 7.407408020299044e-13 relative error 3.127381020829004e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.550056086987598 y[1] (closed_form) -2.3884352199874326 y[1] (numeric) -2.388435219986687 absolute error 7.456257833382551e-13 relative error 3.121817067084526e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560060642329677 y[1] (closed_form) -2.408320723671402 y[1] (numeric) -2.4083207236706516 absolute error 7.505107646466058e-13 relative error 3.1163239898649296e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.570065197671755 y[1] (closed_form) -2.428221415048251 y[1] (numeric) -2.428221415047494 absolute error 7.571721027943568e-13 relative error 3.118216889538927e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5800697530138335 y[1] (closed_form) -2.4481363036108266 y[1] (numeric) -2.4481363036100645 absolute error 7.620570841027074e-13 relative error 3.112804965061494e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.590074308355912 y[1] (closed_form) -2.4680643974309753 y[1] (numeric) -2.468064397430209 absolute error 7.664979762012081e-13 relative error 3.1056644105358875e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.60007886369799 y[1] (closed_form) -2.4880047032588264 y[1] (numeric) -2.4880047032580532 absolute error 7.73159314348959e-13 relative error 3.107547639826658e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.610083419040069 y[1] (closed_form) -2.507956226622204 y[1] (numeric) -2.5079562266214266 absolute error 7.776002064474596e-13 relative error 3.100533407214832e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620087974382147 y[1] (closed_form) -2.5279179719261684 y[1] (numeric) -2.527917971925384 absolute error 7.842615445952106e-13 relative error 3.10240107988012e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.630092529724226 y[1] (closed_form) -2.5478889425526603 y[1] (numeric) -2.547888942551872 absolute error 7.882583474838611e-13 relative error 3.0937704321371505e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640097085066304 y[1] (closed_form) -2.567868140960257 y[1] (numeric) -2.567868140959463 absolute error 7.94031507211912e-13 relative error 3.0921817773516324e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650101640408383 y[1] (closed_form) -2.5878545687840138 y[1] (numeric) -2.587854568783213 absolute error 8.006928453596629e-13 relative error 3.094041122009009e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660106195750461 y[1] (closed_form) -2.6078472269353914 y[1] (numeric) -2.607847226934585 absolute error 8.064660050877137e-13 relative error 3.092458778865782e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6701107510925395 y[1] (closed_form) -2.6278451157022564 y[1] (numeric) -2.627845115701444 absolute error 8.122391648157645e-13 relative error 3.0908943604109805e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.680115306434618 y[1] (closed_form) -2.647847234848941 y[1] (numeric) -2.6478472348481232 absolute error 8.175682353339653e-13 relative error 3.08767146598851e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.690119861776696 y[1] (closed_form) -2.667852583716356 y[1] (numeric) -2.6678525837155336 absolute error 8.22453216642316e-13 relative error 3.0828285702976403e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700124417118775 y[1] (closed_form) -2.687860161322151 y[1] (numeric) -2.6878601613213235 absolute error 8.273381979506667e-13 relative error 3.078055212305767e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710128972460853 y[1] (closed_form) -2.7078689664608993 y[1] (numeric) -2.707868966460066 absolute error 8.331113576787175e-13 relative error 3.076630989155905e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720133527802932 y[1] (closed_form) -2.7278779978043093 y[1] (numeric) -2.7278779978034713 absolute error 8.379963389870682e-13 relative error 3.0719714725569767e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.73013808314501 y[1] (closed_form) -2.74788625400145 y[1] (numeric) -2.747886254000607 absolute error 8.428813202954188e-13 relative error 3.067380678759981e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740142638487089 y[1] (closed_form) -2.767892733778974 y[1] (numeric) -2.767892733778126 absolute error 8.477663016037695e-13 relative error 3.062858221555152e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749985830033327 y[1] (closed_form) -2.787573822972013 y[1] (numeric) -2.78757382297116 absolute error 8.526512829121202e-13 relative error 3.05875767624713e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7599903853754055 y[1] (closed_form) -2.807573815781601 y[1] (numeric) -2.807573815780743 absolute error 8.57980353430321e-13 relative error 3.0559494058804206e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769994940717484 y[1] (closed_form) -2.8275690459517095 y[1] (numeric) -2.8275690459508485 absolute error 8.610889778992714e-13 relative error 3.045333160412513e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779999496059562 y[1] (closed_form) -2.8475585135127712 y[1] (numeric) -2.847558513511905 absolute error 8.664180484174722e-13 relative error 3.0426698672072304e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790004051401641 y[1] (closed_form) -2.867541219071999 y[1] (numeric) -2.867541219071127 absolute error 8.717471189356729e-13 relative error 3.040050874029947e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.800008606743719 y[1] (closed_form) -2.8875161639134155 y[1] (numeric) -2.887516163912537 absolute error 8.784084570834239e-13 relative error 3.042090181385955e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810013162085798 y[1] (closed_form) -2.907482350097818 y[1] (numeric) -2.907482350096935 absolute error 8.832934383917745e-13 relative error 3.038001033306556e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.820017717427876 y[1] (closed_form) -2.927438780562659 y[1] (numeric) -2.9274387805617708 absolute error 8.881784197001252e-13 relative error 3.03397777469292e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.830022272769955 y[1] (closed_form) -2.947384459221844 y[1] (numeric) -2.9473844592209506 absolute error 8.93507490218326e-13 relative error 3.0315267742648887e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840026828112033 y[1] (closed_form) -2.9673183910654304 y[1] (numeric) -2.967318391064531 absolute error 8.992806499463768e-13 relative error 3.0306173164770686e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8500313834541116 y[1] (closed_form) -2.9872395822592166 y[1] (numeric) -2.987239582258312 absolute error 9.046097204645775e-13 relative error 3.02824629747451e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.86003593879619 y[1] (closed_form) -3.007147040244218 y[1] (numeric) -3.0071470402433076 absolute error 9.103828801926284e-13 relative error 3.027397290551824e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8700404941382684 y[1] (closed_form) -3.0270397738360098 y[1] (numeric) -3.0270397738350923 absolute error 9.174883075502294e-13 relative error 3.0309753954357334e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880045049480347 y[1] (closed_form) -3.0469167933239363 y[1] (numeric) -3.046916793323014 absolute error 9.2237328885858e-13 relative error 3.027234911303063e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890049604822425 y[1] (closed_form) -3.066777110570171 y[1] (numeric) -3.0667771105692427 absolute error 9.281464485866309e-13 relative error 3.026455510534547e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.900054160164504 y[1] (closed_form) -3.0866197391086194 y[1] (numeric) -3.0866197391076864 absolute error 9.330314298949816e-13 relative error 3.022825967426847e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910058715506582 y[1] (closed_form) -3.106443694243656 y[1] (numeric) -3.1064436942427154 absolute error 9.405809464624326e-13 relative error 3.02783838704484e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.920063270848661 y[1] (closed_form) -3.1262479931486804 y[1] (numeric) -3.126247993147735 absolute error 9.454659277707833e-13 relative error 3.024283197759155e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.930067826190739 y[1] (closed_form) -3.1460316549644904 y[1] (numeric) -3.1460316549635396 absolute error 9.50794998288984e-13 relative error 3.022204168825236e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940072381532818 y[1] (closed_form) -3.1657937008974573 y[1] (numeric) -3.1657937008965 absolute error 9.57456336436735e-13 relative error 3.024380066728005e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.950076936874896 y[1] (closed_form) -3.1855331543174903 y[1] (numeric) -3.1855331543165275 absolute error 9.627854069549358e-13 relative error 3.022368188665785e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9600814922169745 y[1] (closed_form) -3.2052490408557914 y[1] (numeric) -3.2052490408548233 absolute error 9.681144774731365e-13 relative error 3.020403298255579e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.970086047559053 y[1] (closed_form) -3.224940388502378 y[1] (numeric) -3.2249403885014063 absolute error 9.71667191151937e-13 relative error 3.012977215380924e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980090602901131 y[1] (closed_form) -3.2446062277033736 y[1] (numeric) -3.2446062277023975 absolute error 9.761080832504376e-13 relative error 3.0084022983009416e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.99009515824321 y[1] (closed_form) -3.264245591458047 y[1] (numeric) -3.2642455914570654 absolute error 9.814371537686384e-13 relative error 3.006627798891376e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136379583993194 NO POLE (given) for Equation 1 NO 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 ) = sin ( x ) - 1 , 0 ; Iterations 22740 Total Elapsed Time 2 Seconds Elapsed Time(since restart) 2 Seconds Time to Timeout 2 Minutes 58.0 Seconds Percent Done 100.00532810981893%