##############ECHO OF PROBLEM################# ##############R:Temp/sub_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 - sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) 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) 3.095004165278026 y[1] (numeric) 3.095004165278026 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) 3.1039560979566967 y[1] (numeric) 3.1039560979566967 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) 3.1128086358538662 y[1] (numeric) 3.1128086358538662 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) 3.121561893714788 y[1] (numeric) 3.121561893714788 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 0.12854027594607761 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) 3.130215996212637 y[1] (numeric) 3.130215996212637 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) 3.1387710779360423 y[1] (numeric) 3.1387710779360427 absolute error 4.440892098500626e-16 relative error 1.4148505858607625e-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 0.14776010333066983 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) 3.147227283375627 y[1] (numeric) 3.1472272833756265 absolute error 4.440892098500626e-16 relative error 1.4110490595828372e-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) 3.1555847669095605 y[1] (numeric) 3.155584766909561 absolute error 4.440892098500626e-16 relative error 1.4073119331380974e-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 0.1667435460704072 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) 3.1638436927881215 y[1] (numeric) 3.1638436927881224 absolute error 8.881784197001252e-16 relative error 2.8072765469567887e-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) 3.1720042351172704 y[1] (numeric) 3.1720042351172717 absolute error 1.3322676295501878e-15 relative error 4.200081496741549e-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) 3.1800665778412416 y[1] (numeric) 3.180066577841243 absolute error 1.3322676295501878e-15 relative error 4.189433135876624e-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) 3.1880309147241483 y[1] (numeric) 3.1880309147241492 absolute error 8.881784197001252e-16 relative error 2.7859780643845384e-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 0.2038802265297852 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) 3.1958974493306056 y[1] (numeric) 3.195897449330606 absolute error 4.440892098500626e-16 relative error 1.3895602624642384e-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 0.21296973253299986 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) 3.2036663950053748 y[1] (numeric) 3.2036663950053756 absolute error 8.881784197001252e-16 relative error 2.7723811102330307e-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 0.22197405348275995 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) 3.2113379748520297 y[1] (numeric) 3.2113379748520297 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 0.2308895877707416 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) 3.2189124217106446 y[1] (numeric) 3.218912421710645 absolute error 4.440892098500626e-16 relative error 1.3796250151287367e-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 0.23971276930210164 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) 3.2263899781345136 y[1] (numeric) 3.2263899781345136 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 0.2484400689218684 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) 3.2337708963658907 y[1] (numeric) 3.233770896365891 absolute error 4.440892098500626e-16 relative error 1.3732859379405319e-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 0.25706799582655676 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) 3.241055438310771 y[1] (numeric) 3.241055438310771 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) 3.248243875512697 y[1] (numeric) 3.2482438755126966 absolute error 4.440892098500626e-16 relative error 1.3671670812585412e-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) 3.255336489125606 y[1] (numeric) 3.2553364891256056 absolute error 4.440892098500626e-16 relative error 1.3641883453017369e-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) 3.262333569885713 y[1] (numeric) 3.262333569885713 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 0.2905175802686528 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) 3.2692354180824412 y[1] (numeric) 3.2692354180824412 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) 3.276042343528387 y[1] (numeric) 3.2760423435283874 absolute error 4.440892098500626e-16 relative error 1.3555661474502385e-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) 3.2827546655283464 y[1] (numeric) 3.2827546655283464 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 0.3143965120092345 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) 3.289372712847379 y[1] (numeric) 3.2893727128473786 absolute error 4.440892098500626e-16 relative error 1.350072638821296e-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 0.3221088436188458 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) 3.295896823677935 y[1] (numeric) 3.295896823677935 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) 3.3023273456060345 y[1] (numeric) 3.3023273456060345 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 0.33714395581407286 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) 3.3086646355765104 y[1] (numeric) 3.3086646355765104 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 0.34446072255527593 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) 3.314909059857313 y[1] (numeric) 3.3149090598573134 absolute error 4.440892098500626e-16 relative error 1.339672376620727e-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 0.3516397096002052 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) 3.3210609940028855 y[1] (numeric) 3.3210609940028855 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 0.3586780454497616 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) 3.327120822816605 y[1] (numeric) 3.327120822816606 absolute error 8.881784197001252e-16 relative error 2.6695105678435493e-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 0.3655729148634483 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) 3.3330889403123085 y[1] (numeric) 3.333088940312309 absolute error 4.440892098500626e-16 relative error 1.3323653157855779e-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) 3.3389657496748852 y[1] (numeric) 3.3389657496748866 absolute error 1.3322676295501878e-15 relative error 3.990060783582194e-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 0.3789212814476387 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) 3.344751663219964 y[1] (numeric) 3.3447516632199648 absolute error 8.881784197001252e-16 relative error 2.6554390553619857e-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) 3.350447102352677 y[1] (numeric) 3.3504471023526787 absolute error 1.7763568394002505e-15 relative error 5.3018501266678597e-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 0.39166345481374193 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) 3.3560524975255253 y[1] (numeric) 3.356052497525526 absolute error 8.881784197001252e-16 relative error 2.6464973964352293e-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) 3.361568288195329 y[1] (numeric) 3.3615682881953295 absolute error 4.440892098500626e-16 relative error 1.3210774608076567e-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 0.4037790502025573 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) 3.3669949227792846 y[1] (numeric) 3.3669949227792846 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 0.4095957841504994 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) 3.3723328586101218 y[1] (numeric) 3.3723328586101213 absolute error 4.440892098500626e-16 relative error 1.316860548673983e-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) 3.377582561890373 y[1] (numeric) 3.3775825618903723 absolute error 8.881784197001252e-16 relative error 2.6296275617997846e-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) 3.3827445076457514 y[1] (numeric) 3.3827445076457505 absolute error 8.881784197001252e-16 relative error 2.6256148452614305e-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) 3.38781917967765 y[1] (numeric) 3.387819179677649 absolute error 8.881784197001252e-16 relative error 2.621681892079716e-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 0.4312021136216694 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) 3.392807070514761 y[1] (numeric) 3.392807070514759 absolute error 2.220446049250313e-15 relative error 6.544569152036765e-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 0.43617774117249347 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) 3.397708681363824 y[1] (numeric) 3.397708681363822 absolute error 2.220446049250313e-15 relative error 6.5351278096009e-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 0.4409789034424741 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) 3.402524522059506 y[1] (numeric) 3.4025245220595037 absolute error 2.220446049250313e-15 relative error 6.525878167385857e-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) 3.4072551110134164 y[1] (numeric) 3.4072551110134146 absolute error 1.7763568394002505e-15 relative error 5.213454177993471e-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 0.45005022108825254 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) 3.411900975162269 y[1] (numeric) 3.411900975162267 absolute error 1.7763568394002505e-15 relative error 5.206355202954762e-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 0.45431674805794175 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) 3.416462649915187 y[1] (numeric) 3.416462649915186 absolute error 1.3322676295501878e-15 relative error 3.8995527423174406e-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 0.4584015543858839 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) 3.4209406791001635 y[1] (numeric) 3.420940679100162 absolute error 1.3322676295501878e-15 relative error 3.894448207446335e-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 0.4623030062040102 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) 3.4253356149096787 y[1] (numeric) 3.4253356149096774 absolute error 1.3322676295501878e-15 relative error 3.8894513686517045e-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) 3.4296480178454796 y[1] (numeric) 3.429648017845479 absolute error 4.440892098500626e-16 relative error 1.2948536046245396e-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) 3.433878456662534 y[1] (numeric) 3.4338784566625336 absolute error 4.440892098500626e-16 relative error 1.2932583824812577e-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) 3.438027508312152 y[1] (numeric) 3.4380275083121523 absolute error 4.440892098500626e-16 relative error 1.2916976631989823e-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) 3.442095757884293 y[1] (numeric) 3.4420957578842937 absolute error 8.881784197001252e-16 relative error 2.5803419839953843e-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 0.47900793014461257 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) 3.446083798549056 y[1] (numeric) 3.4460837985490564 absolute error 4.440892098500626e-16 relative error 1.2886779190832288e-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 0.48177909270859665 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) 3.4499922314973652 y[1] (numeric) 3.4499922314973657 absolute error 4.440892098500626e-16 relative error 1.2872179994947961e-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 0.48435755005913284 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) 3.453821665880849 y[1] (numeric) 3.4538216658808496 absolute error 4.440892098500626e-16 relative error 1.2857907929557325e-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 0.48674227084766 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) 3.457572718750928 y[1] (numeric) 3.4575727187509284 absolute error 4.440892098500626e-16 relative error 1.2843958637274676e-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 0.48893230121765824 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) 3.4612460149971067 y[1] (numeric) 3.4612460149971076 absolute error 8.881784197001252e-16 relative error 2.5660655609331707e-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 0.49092676518617995 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) 3.464842187284489 y[1] (numeric) 3.464842187284489 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 0.4927248649942302 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) 3.4683618759905084 y[1] (numeric) 3.468361875990509 absolute error 4.440892098500626e-16 relative error 1.280400447612572e-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 0.49432588142586004 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) 3.471805729140895 y[1] (numeric) 3.471805729140896 absolute error 8.881784197001252e-16 relative error 2.5582607121277684e-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 0.4957291740958432 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) 3.4751744023448703 y[1] (numeric) 3.4751744023448707 absolute error 4.440892098500626e-16 relative error 1.2778904263061268e-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 0.4969341817058225 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) 3.4784685587295883 y[1] (numeric) 3.4784685587295874 absolute error 8.881784197001252e-16 relative error 2.5533604938620087e-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) 3.481688868873821 y[1] (numeric) 3.481688868873821 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 0.49874749330202717 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) 3.4848360107409055 y[1] (numeric) 3.484836010740905 absolute error 4.440892098500626e-16 relative error 1.2743475115652443e-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) 3.4879106696109434 y[1] (numeric) 3.4879106696109434 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) 3.4909135380122778 y[1] (numeric) 3.490913538012277 absolute error 8.881784197001252e-16 relative error 2.544257856944383e-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 0.4999708601149831 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) 3.493845315652236 y[1] (numeric) 3.493845315652236 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 0.49997882324937 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) 3.4967067093471655 y[1] (numeric) 3.496706709347165 absolute error 4.440892098500626e-16 relative error 1.2700213279625444e-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) 3.4994984329517473 y[1] (numeric) 3.499498432951747 absolute error 4.440892098500626e-16 relative error 1.2690081689091756e-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 0.499394871735262 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) 3.5022212072876138 y[1] (numeric) 3.5022212072876133 absolute error 4.440892098500626e-16 relative error 1.268021588487836e-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 0.4988031906595869 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) 3.504875760071267 y[1] (numeric) 3.5048757600712674 absolute error 4.440892098500626e-16 relative error 1.2670612034505686e-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 0.49801199495826826 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) 3.5074628258413085 y[1] (numeric) 3.507462825841309 absolute error 4.440892098500626e-16 relative error 1.2661266331270163e-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 0.49702160109903787 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) 3.5099831458849824 y[1] (numeric) 3.5099831458849833 absolute error 8.881784197001252e-16 relative error 2.5304349986449474e-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 0.49583240522623423 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) 3.5124374681640522 y[1] (numeric) 3.512437468164053 absolute error 8.881784197001252e-16 relative error 2.5286668524361668e-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 0.4944448830023506 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) 3.514826547240001 y[1] (numeric) 3.514826547240003 absolute error 1.7763568394002505e-15 relative error 5.053896161092573e-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) 3.5171511441985803 y[1] (numeric) 3.517151144198582 absolute error 1.7763568394002505e-15 relative error 5.0505558805179297e-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) 3.519412026573697 y[1] (numeric) 3.5194120265736983 absolute error 1.3322676295501878e-15 relative error 3.7854835395536484e-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) 3.5216099682706647 y[1] (numeric) 3.521609968270665 absolute error 4.440892098500626e-16 relative error 1.2610403021665081e-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 0.48692381543909746 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) 3.523745749488812 y[1] (numeric) 3.5237457494888127 absolute error 8.881784197001252e-16 relative error 2.520551943422629e-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 0.48455456444022815 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) 3.525820156643463 y[1] (numeric) 3.525820156643464 absolute error 8.881784197001252e-16 relative error 2.51906898321683e-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 0.4819914980762238 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) 3.5278339822872984 y[1] (numeric) 3.527833982287299 absolute error 4.440892098500626e-16 relative error 1.2588155000483722e-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 0.4792356415394569 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) 3.5297880250310985 y[1] (numeric) 3.5297880250310993 absolute error 8.881784197001252e-16 relative error 2.5162372737447883e-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 0.47628809713579734 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) 3.5316830894638835 y[1] (numeric) 3.531683089463885 absolute error 1.3322676295501878e-15 relative error 3.772330630471232e-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) 3.5335199860724567 y[1] (numeric) 3.533519986072458 absolute error 1.3322676295501878e-15 relative error 3.770369588403027e-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 0.46982273684266196 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) 3.535299531160354 y[1] (numeric) 3.535299531160356 absolute error 1.7763568394002505e-15 relative error 5.024628956452851e-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) 3.5370225467662175 y[1] (numeric) 3.5370225467662184 absolute error 8.881784197001252e-16 relative error 2.5110906361401548e-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) 3.5386898605815875 y[1] (numeric) 3.5386898605815893 absolute error 1.7763568394002505e-15 relative error 5.019814986296381e-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 0.4587189776409047 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) 3.54030230586814 y[1] (numeric) 3.5403023058681415 absolute error 1.3322676295501878e-15 relative error 3.763146518143156e-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) 3.5418607213743556 y[1] (numeric) 3.541860721374357 absolute error 1.3322676295501878e-15 relative error 3.761490737086989e-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 0.45039659576131386 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) 3.5433659512516495 y[1] (numeric) 3.5433659512516518 absolute error 2.220446049250313e-15 relative error 6.26648807884483e-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) 3.5448188449699547 y[1] (numeric) 3.544818844969958 absolute error 3.1086244689504383e-15 relative error 8.769487539148948e-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) 3.546220257232778 y[1] (numeric) 3.5462202572327812 absolute error 3.1086244689504383e-15 relative error 8.76602197116823e-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) 3.5475710478917266 y[1] (numeric) 3.5475710478917297 absolute error 3.1086244689504383e-15 relative error 8.762684177383429e-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 0.43160468332443946 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) 3.5488720818605266 y[1] (numeric) 3.5488720818605297 absolute error 3.1086244689504383e-15 relative error 8.759471734243842e-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 0.42647024077644125 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) 3.5501242290285333 y[1] (numeric) 3.5501242290285364 absolute error 3.1086244689504383e-15 relative error 8.756382223280935e-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 0.4211652158183267 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) 3.551328364173739 y[1] (numeric) 3.551328364173742 absolute error 3.1086244689504383e-15 relative error 8.753413230695997e-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 0.41569173038934604 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) 3.5524853668753 y[1] (numeric) 3.5524853668753034 absolute error 3.552713678800501e-15 relative error 1.000064268223968e-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) 3.553596121425576 y[1] (numeric) 3.5535961214255796 absolute error 3.552713678800501e-15 relative error 9.997516761627033e-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 0.40424820190980126 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) 3.5546615167417057 y[1] (numeric) 3.554661516741709 absolute error 3.1086244689504383e-15 relative error 8.74520528694356e-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 0.39828273611805015 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) 3.5556824462767107 y[1] (numeric) 3.5556824462767147 absolute error 3.9968028886505635e-15 relative error 1.1240606969375925e-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) 3.5566598079301563 y[1] (numeric) 3.5566598079301595 absolute error 3.1086244689504383e-15 relative error 8.740291837918403e-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 0.3858763310100716 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) 3.5575945039583567 y[1] (numeric) 3.55759450395836 absolute error 3.1086244689504383e-15 relative error 8.73799547838189e-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 0.37944035409047056 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) 3.5584874408841562 y[1] (numeric) 3.558487440884159 absolute error 2.6645352591003757e-15 relative error 7.487831005069767e-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 0.3728526060883704 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) 3.559339529406272 y[1] (numeric) 3.5593395294062757 absolute error 3.552713678800501e-15 relative error 9.98138460646693e-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 0.3661157220151374 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) 3.560151684308229 y[1] (numeric) 3.5601516843082335 absolute error 4.440892098500626e-15 relative error 1.2473884520354455e-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 0.3592323965345755 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) 3.5609248243668805 y[1] (numeric) 3.5609248243668863 absolute error 5.773159728050814e-15 relative error 1.6212529083865905e-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 0.35220538288510167 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) 3.561659872260532 y[1] (numeric) 3.5616598722605377 absolute error 5.773159728050814e-15 relative error 1.6209183176120286e-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 0.3450374917784829 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) 3.562357754476672 y[1] (numeric) 3.562357754476679 absolute error 7.105427357601002e-15 relative error 1.9945855658859353e-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 0.337731590275591 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) 3.5630194012193286 y[1] (numeric) 3.5630194012193357 absolute error 7.105427357601002e-15 relative error 1.9942151746828542e-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 0.3302906006396172 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) 3.5636457463160456 y[1] (numeric) 3.5636457463160527 absolute error 7.105427357601002e-15 relative error 1.9938646721398468e-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 0.3227174991672033 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) 3.5642377271245014 y[1] (numeric) 3.564237727124509 absolute error 7.549516567451064e-15 relative error 2.1181293576457771e-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 0.3150153149979655 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) 3.564796284438775 y[1] (numeric) 3.564796284438783 absolute error 7.993605777301127e-15 relative error 2.2423737962798072e-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 0.30718712890287625 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) 3.5653223623952677 y[1] (numeric) 3.5653223623952757 absolute error 7.993605777301127e-15 relative error 2.2420429248172765e-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 0.2992360720520001 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) 3.565816908378288 y[1] (numeric) 3.5658169083782965 absolute error 8.43769498715119e-15 relative error 2.366272639328698e-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 0.29116532476206347 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) 3.5662808729253177 y[1] (numeric) 3.566280872925326 absolute error 8.43769498715119e-15 relative error 2.3659647929609065e-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 0.2829781152243754 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) 3.566715209631954 y[1] (numeric) 3.5667152096319628 absolute error 8.881784197001252e-15 relative error 2.490185976445749e-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 0.27467771821358883 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) 3.567120875056556 y[1] (numeric) 3.567120875056565 absolute error 8.881784197001252e-15 relative error 2.4899027838131314e-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 0.2662674537778372 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) 3.5674988286245863 y[1] (numeric) 3.567498828624595 absolute error 8.881784197001252e-15 relative error 2.4896389946189656e-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 0.2577506859107598 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) 3.567850032532669 y[1] (numeric) 3.567850032532678 absolute error 8.881784197001252e-15 relative error 2.4893939251971424e-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 0.24913082120594834 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) 3.5681754516523716 y[1] (numeric) 3.568175451652381 absolute error 9.325873406851315e-15 relative error 2.613625235982338e-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 0.24041130749435452 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) 3.568476053433722 y[1] (numeric) 3.568476053433731 absolute error 9.325873406851315e-15 relative error 2.61340506905675e-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 0.23159563246520415 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) 3.5687528078084583 y[1] (numeric) 3.568752807808468 absolute error 9.769962616701378e-15 relative error 2.737640610838785e-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 0.22268732227096869 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) 3.569006687093041 y[1] (numeric) 3.56900668709305 absolute error 8.881784197001252e-15 relative error 2.4885871548297583e-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 0.21368994011694933 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) 3.569238665891419 y[1] (numeric) 3.5692386658914277 absolute error 8.881784197001252e-15 relative error 2.4884254118050195e-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 0.20460708483604442 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) 3.5694497209975724 y[1] (numeric) 3.5694497209975817 absolute error 9.325873406851315e-15 relative error 2.612692189496639e-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 0.19544238944926298 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) 3.569640831297834 y[1] (numeric) 3.5696408312978436 absolute error 9.769962616701378e-15 relative error 2.7369595649625226e-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 0.18619951971256596 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) 3.569812977672999 y[1] (numeric) 3.5698129776730085 absolute error 9.325873406851315e-15 relative error 2.612426327423582e-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 0.17688217265061104 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) 3.56996714290024 y[1] (numeric) 3.5699671429002495 absolute error 9.325873406851315e-15 relative error 2.612313512576191e-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 0.16749407507799338 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) 3.5701043115548305 y[1] (numeric) 3.5701043115548403 absolute error 9.769962616701378e-15 relative error 2.7366042457304057e-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 0.15803898210856912 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) 3.5702254699116853 y[1] (numeric) 3.570225469911695 absolute error 9.769962616701378e-15 relative error 2.7365113769531903e-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 0.14852067565345978 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) 3.570331605846736 y[1] (numeric) 3.570331605846746 absolute error 1.021405182655144e-14 relative error 2.8608132112504676e-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 0.1389429629083382 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) 3.5704237087381454 y[1] (numeric) 3.570423708738155 absolute error 9.769962616701378e-15 relative error 2.736359439018588e-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 0.12930967483060143 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) 3.5705027693673665 y[1] (numeric) 3.5705027693673763 absolute error 9.769962616701378e-15 relative error 2.7362988485883326e-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 0.11962466460703847 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) 3.570569779820069 y[1] (numeric) 3.57056977982008 absolute error 1.1102230246251565e-14 relative error 3.109372153710167e-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 0.10989180611260721 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) 3.5706257333869313 y[1] (numeric) 3.5706257333869424 absolute error 1.1102230246251565e-14 relative error 3.1093234282273827e-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 0.1001149923609353 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) 3.5706716244643095 y[1] (numeric) 3.57067162446432 absolute error 1.0658141036401503e-14 relative error 2.9849121278410727e-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 0.09029813394716771 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) 3.5707084484548 y[1] (numeric) 3.5707084484548117 absolute error 1.1546319456101628e-14 relative error 3.2336214571363895e-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) 3.5707372016677024 y[1] (numeric) 3.5707372016677144 absolute error 1.199040866595169e-14 relative error 3.357964473093009e-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) 3.570758881219386 y[1] (numeric) 3.570758881219397 absolute error 1.1102230246251565e-14 relative error 3.1092074865778226e-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 0.06064662751536994 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) 3.5707744849335787 y[1] (numeric) 3.5707744849335903 absolute error 1.1546319456101628e-14 relative error 3.233561655831201e-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) 3.5707850112415906 y[1] (numeric) 3.570785011241602 absolute error 1.1546319456101628e-14 relative error 3.2335521236230574e-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) 3.570791459082466 y[1] (numeric) 3.570791459082477 absolute error 1.1102230246251565e-14 relative error 3.1091791199434375e-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 0.030776858715015305 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) 3.570794827803092 y[1] (numeric) 3.570794827803103 absolute error 1.1102230246251565e-14 relative error 3.1091761867153087e-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 0.020790331216705142 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) 3.5707961170582676 y[1] (numeric) 3.570796117058278 absolute error 1.021405182655144e-14 relative error 2.860441059000056e-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 0.010795487863109021 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) 3.570796326707362 y[1] (numeric) 3.5707963267073723 absolute error 1.021405182655144e-14 relative error 2.8604408910574397e-13% Desired digits 12 Estimated correct digits 12 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] 1.5799940607570198 y[1] (closed_form) 3.5707964564798065 y[1] (numeric) 3.570796456479818 absolute error 1.1546319456101628e-14 relative error 3.233541759331844e-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) 3.5707975068431557 y[1] (numeric) 3.570797506843167 absolute error 1.1546319456101628e-14 relative error 3.233540808173526e-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) 3.570800479051151 y[1] (numeric) 3.5708004790511616 absolute error 1.0658141036401503e-14 relative error 2.9848044154048144e-13% Desired digits 12 Estimated correct digits 12 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] 1.610007726783255 y[1] (closed_form) 3.5708063741651768 y[1] (numeric) 3.5708063741651883 absolute error 1.1546319456101628e-14 relative error 3.2335327783772806e-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) 3.5708161929540623 y[1] (numeric) 3.5708161929540734 absolute error 1.1102230246251565e-14 relative error 3.109157583680307e-13% Desired digits 12 Estimated correct digits 12 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] 1.630016837467412 y[1] (closed_form) 3.5708309357939143 y[1] (numeric) 3.570830935793926 absolute error 1.1546319456101628e-14 relative error 3.2335105368225723e-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) 3.5708516025679913 y[1] (numeric) 3.5708516025680033 absolute error 1.199040866595169e-14 relative error 3.357856892548753e-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) 3.570879192566622 y[1] (numeric) 3.5708791925666326 absolute error 1.0658141036401503e-14 relative error 2.9847386208383056e-13% Desired digits 12 Estimated correct digits 12 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] 1.6600305034936473 y[1] (closed_form) 3.5709147043871896 y[1] (numeric) 3.570914704387199 absolute error 9.325873406851315e-15 relative error 2.611620321088499e-13% Desired digits 12 Estimated correct digits 12 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] 1.6700350588357258 y[1] (closed_form) 3.570959135834177 y[1] (numeric) 3.5709591358341863 absolute error 9.325873406851315e-15 relative error 2.611587826157744e-13% Desired digits 12 Estimated correct digits 12 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] 1.6800396141778042 y[1] (closed_form) 3.5710134838193017 y[1] (numeric) 3.5710134838193115 absolute error 9.769962616701378e-15 relative error 2.735907512242749e-13% Desired digits 12 Estimated correct digits 12 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] 1.6900441695198827 y[1] (closed_form) 3.571078744261731 y[1] (numeric) 3.5710787442617415 absolute error 1.0658141036401503e-14 relative error 2.9845718337988987e-13% Desired digits 12 Estimated correct digits 12 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] 1.7000487248619611 y[1] (closed_form) 3.5711559119884004 y[1] (numeric) 3.571155911988412 absolute error 1.1546319456101628e-14 relative error 3.2332162864523886e-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) 3.5712459806344423 y[1] (numeric) 3.5712459806344543 absolute error 1.199040866595169e-14 relative error 3.3574860793603356e-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) 3.5713499425437334 y[1] (numeric) 3.571349942543747 absolute error 1.3766765505351941e-14 relative error 3.8547792086558757e-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) 3.571468788669568 y[1] (numeric) 3.571468788669582 absolute error 1.3766765505351941e-14 relative error 3.8546509349393733e-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) 3.571603508475476 y[1] (numeric) 3.5716035084754907 absolute error 1.4654943925052066e-14 relative error 4.1031833153583913e-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) 3.571755089836185 y[1] (numeric) 3.5717550898362 absolute error 1.4654943925052066e-14 relative error 4.1030091807678227e-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) 3.5719245189387463 y[1] (numeric) 3.57192451893876 absolute error 1.3766765505351941e-14 relative error 3.854159132523378e-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) 3.572112780183823 y[1] (numeric) 3.572112780183837 absolute error 1.3766765505351941e-14 relative error 3.853956006574769e-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) 3.572320856087165 y[1] (numeric) 3.572320856087178 absolute error 1.2878587085651816e-14 relative error 3.6051036859432587e-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) 3.5725497271812685 y[1] (numeric) 3.572549727181281 absolute error 1.2434497875801753e-14 relative error 3.480566773135594e-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) 3.5728003719172303 y[1] (numeric) 3.5728003719172428 absolute error 1.2434497875801753e-14 relative error 3.480322598916763e-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) 3.573073766566819 y[1] (numeric) 3.5730737665668313 absolute error 1.2434497875801753e-14 relative error 3.4800563011463983e-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) 3.573370885124757 y[1] (numeric) 3.573370885124769 absolute error 1.199040866595169e-14 relative error 3.3554895507391666e-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) 3.5736926992112337 y[1] (numeric) 3.5736926992112465 absolute error 1.2878587085651816e-14 relative error 3.6037197849983877e-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) 3.5740401779746556 y[1] (numeric) 3.5740401779746684 absolute error 1.2878587085651816e-14 relative error 3.603369420695735e-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] 1.8501170549931378 y[1] (closed_form) 3.574414287994645 y[1] (numeric) 3.574414287994658 absolute error 1.2878587085651816e-14 relative error 3.6029922801358017e-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] 1.8601216103352163 y[1] (closed_form) 3.574815993185293 y[1] (numeric) 3.574815993185307 absolute error 1.3766765505351941e-14 relative error 3.8510417128030256e-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] 1.8701261656772947 y[1] (closed_form) 3.5752462546986834 y[1] (numeric) 3.5752462546986967 absolute error 1.3322676295501878e-14 relative error 3.7263660588394055e-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] 1.8801307210193732 y[1] (closed_form) 3.5757060308286874 y[1] (numeric) 3.5757060308287016 absolute error 1.4210854715202004e-14 relative error 3.974279371033353e-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] 1.8901352763614516 y[1] (closed_form) 3.5761962769150504 y[1] (numeric) 3.576196276915064 absolute error 1.3766765505351941e-14 relative error 3.84955534857489e-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] 1.90013983170353 y[1] (closed_form) 3.576717945247771 y[1] (numeric) 3.5767179452477853 absolute error 1.4210854715202004e-14 relative error 3.973154979716347e-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] 1.9101443870456085 y[1] (closed_form) 3.5772719849717864 y[1] (numeric) 3.5772719849718 absolute error 1.3766765505351941e-14 relative error 3.848397763207966e-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] 1.919987578591847 y[1] (closed_form) 3.5778495991872914 y[1] (numeric) 3.577849599187305 absolute error 1.3766765505351941e-14 relative error 3.8477764712298314e-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] 1.9299921339339254 y[1] (closed_form) 3.578470656034392 y[1] (numeric) 3.578470656034404 absolute error 1.199040866595169e-14 relative error 3.3507075559589147e-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] 1.9399966892760039 y[1] (closed_form) 3.5791268967691208 y[1] (numeric) 3.579126896769133 absolute error 1.2434497875801753e-14 relative error 3.474170722202216e-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] 1.9500012446180823 y[1] (closed_form) 3.5798192570670233 y[1] (numeric) 3.5798192570670353 absolute error 1.199040866595169e-14 relative error 3.34944526662375e-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] 1.9600057999601608 y[1] (closed_form) 3.5805486689884276 y[1] (numeric) 3.5805486689884396 absolute error 1.199040866595169e-14 relative error 3.348762933960958e-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] 1.9700103553022392 y[1] (closed_form) 3.581316060885155 y[1] (numeric) 3.5813160608851655 absolute error 1.0658141036401503e-14 relative error 2.976040331320896e-13% Desired digits 12 Estimated correct digits 12 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) 3.582122357307597 y[1] (numeric) 3.5821223573076066 absolute error 9.769962616701378e-15 relative error 2.727422919200532e-13% Desired digits 12 Estimated correct digits 12 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] 1.9900194659863961 y[1] (closed_form) 3.582968478912183 y[1] (numeric) 3.582968478912193 absolute error 1.021405182655144e-14 relative error 2.85072332806358e-13% Desired digits 12 Estimated correct digits 12 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] 2.0000240213284743 y[1] (closed_form) 3.583855342369227 y[1] (numeric) 3.583855342369237 absolute error 1.021405182655144e-14 relative error 2.8500178859895334e-13% Desired digits 12 Estimated correct digits 12 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) 3.5847838602711777 y[1] (numeric) 3.5847838602711883 absolute error 1.0658141036401503e-14 relative error 2.9731614099588275e-13% Desired digits 12 Estimated correct digits 12 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) 3.58575494104128 y[1] (numeric) 3.58575494104129 absolute error 9.769962616701378e-15 relative error 2.7246598770255737e-13% Desired digits 12 Estimated correct digits 12 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) 3.5867694888426493 y[1] (numeric) 3.5867694888426565 absolute error 7.105427357601002e-15 relative error 1.9810103157461967e-13% Desired digits 12 Estimated correct digits 12 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) 3.5878284034877703 y[1] (numeric) 3.5878284034877774 absolute error 7.105427357601002e-15 relative error 1.9804256387216657e-13% Desired digits 12 Estimated correct digits 12 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) 3.58893258034844 y[1] (numeric) 3.5889325803484478 absolute error 7.549516567451064e-15 relative error 2.1035548588427655e-13% Desired digits 12 Estimated correct digits 12 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] 2.060051353380945 y[1] (closed_form) 3.5900829102661467 y[1] (numeric) 3.5900829102661547 absolute error 7.993605777301127e-15 relative error 2.2265797133661548e-13% Desired digits 12 Estimated correct digits 12 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] 2.0700559087230235 y[1] (closed_form) 3.5912802794629046 y[1] (numeric) 3.5912802794629117 absolute error 7.105427357601002e-15 relative error 1.9785220881350027e-13% Desired digits 12 Estimated correct digits 12 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] 2.080060464065102 y[1] (closed_form) 3.592525569452553 y[1] (numeric) 3.592525569452559 absolute error 6.217248937900877e-15 relative error 1.730606732702613e-13% Desired digits 12 Estimated correct digits 12 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] 2.0900650194071804 y[1] (closed_form) 3.593819656952525 y[1] (numeric) 3.5938196569525305 absolute error 5.329070518200751e-15 relative error 1.482843054712344e-13% Desired digits 12 Estimated correct digits 12 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] 2.100069574749259 y[1] (closed_form) 3.595163413796098 y[1] (numeric) 3.5951634137961035 absolute error 5.329070518200751e-15 relative error 1.4822888155100125e-13% Desired digits 12 Estimated correct digits 12 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] 2.1100741300913373 y[1] (closed_form) 3.596557706845128 y[1] (numeric) 3.5965577068451338 absolute error 5.773159728050814e-15 relative error 1.6051903510579242e-13% Desired digits 12 Estimated correct digits 12 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] 2.1200786854334157 y[1] (closed_form) 3.598003397903289 y[1] (numeric) 3.598003397903296 absolute error 7.105427357601002e-15 relative error 1.974825082639344e-13% Desired digits 12 Estimated correct digits 12 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] 2.130083240775494 y[1] (closed_form) 3.5995013436298127 y[1] (numeric) 3.599501343629817 absolute error 4.440892098500626e-15 relative error 1.233752032447455e-13% Desired digits 12 Estimated correct digits 12 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] 2.1400877961175726 y[1] (closed_form) 3.6010523954537454 y[1] (numeric) 3.6010523954537503 absolute error 4.884981308350689e-15 relative error 1.3565426913859619e-13% Desired digits 12 Estimated correct digits 12 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] 2.150092351459651 y[1] (closed_form) 3.602657399488729 y[1] (numeric) 3.6026573994887343 absolute error 5.329070518200751e-15 relative error 1.4792054662086454e-13% Desired digits 12 Estimated correct digits 12 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] 2.1600969068017295 y[1] (closed_form) 3.6043171964483136 y[1] (numeric) 3.604317196448317 absolute error 3.552713678800501e-15 relative error 9.856828589618408e-14% Desired digits 12 Estimated correct digits 12 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] 2.170101462143808 y[1] (closed_form) 3.6060326215618073 y[1] (numeric) 3.606032621561811 absolute error 3.552713678800501e-15 relative error 9.852139599507523e-14% Desired digits 12 Estimated correct digits 12 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] 2.1801060174858864 y[1] (closed_form) 3.6078045044906824 y[1] (numeric) 3.6078045044906846 absolute error 2.220446049250313e-15 relative error 6.154563104753859e-14% Desired digits 12 Estimated correct digits 12 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] 2.190110572827965 y[1] (closed_form) 3.6096336692455298 y[1] (numeric) 3.609633669245531 absolute error 1.3322676295501878e-15 relative error 3.6908665854412114e-14% Desired digits 12 Estimated correct digits 12 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] 2.2001151281700433 y[1] (closed_form) 3.6115209341035874 y[1] (numeric) 3.611520934103586 absolute error 1.3322676295501878e-15 relative error 3.688937857093908e-14% Desired digits 12 Estimated correct digits 12 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] 2.2101196835121217 y[1] (closed_form) 3.6134671115268358 y[1] (numeric) 3.613467111526835 absolute error 8.881784197001252e-16 relative error 2.45796735458548e-14% Desired digits 12 Estimated correct digits 12 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] 2.2201242388542 y[1] (closed_form) 3.61547300808068 y[1] (numeric) 3.6154730080806785 absolute error 1.3322676295501878e-15 relative error 3.684905478681582e-14% Desired digits 12 Estimated correct digits 12 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] 2.2301287941962786 y[1] (closed_form) 3.617539424353219 y[1] (numeric) 3.6175394243532164 absolute error 2.6645352591003757e-15 relative error 7.365601162941766e-14% Desired digits 12 Estimated correct digits 12 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] 2.240133349538357 y[1] (closed_form) 3.6196671548751174 y[1] (numeric) 3.619667154875114 absolute error 3.552713678800501e-15 relative error 9.815028638795031e-14% Desired digits 12 Estimated correct digits 12 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] 2.2501379048804355 y[1] (closed_form) 3.6218569880400757 y[1] (numeric) 3.6218569880400704 absolute error 5.329070518200751e-15 relative error 1.471364147120705e-13% Desired digits 12 Estimated correct digits 12 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] 2.260142460222514 y[1] (closed_form) 3.624109706025926 y[1] (numeric) 3.624109706025918 absolute error 7.993605777301127e-15 relative error 2.2056743381719092e-13% Desired digits 12 Estimated correct digits 12 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] 2.2699856517687524 y[1] (closed_form) 3.6263882146113073 y[1] (numeric) 3.626388214611297 absolute error 1.021405182655144e-14 relative error 2.81659083972239e-13% Desired digits 12 Estimated correct digits 12 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] 2.279990207110831 y[1] (closed_form) 3.6287679782491793 y[1] (numeric) 3.6287679782491686 absolute error 1.0658141036401503e-14 relative error 2.937123866911954e-13% Desired digits 12 Estimated correct digits 12 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] 2.2899947624529093 y[1] (closed_form) 3.631212922910579 y[1] (numeric) 3.6312129229105685 absolute error 1.0658141036401503e-14 relative error 2.935146261778152e-13% Desired digits 12 Estimated correct digits 12 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] 2.299999317794988 y[1] (closed_form) 3.633723805239152 y[1] (numeric) 3.63372380523914 absolute error 1.199040866595169e-14 relative error 3.299757854095503e-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] 2.3100038731370662 y[1] (closed_form) 3.636301375278824 y[1] (numeric) 3.6363013752788125 absolute error 1.1546319456101628e-14 relative error 3.175292217140907e-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] 2.3200084284791447 y[1] (closed_form) 3.638946376398728 y[1] (numeric) 3.638946376398715 absolute error 1.2878587085651816e-14 relative error 3.539097791926538e-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] 2.330012983821223 y[1] (closed_form) 3.6416595452188005 y[1] (numeric) 3.6416595452187863 absolute error 1.4210854715202004e-14 relative error 3.9023018321028083e-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] 2.3400175391633016 y[1] (closed_form) 3.6444416115360534 y[1] (numeric) 3.6444416115360374 absolute error 1.5987211554602254e-14 relative error 4.386738287697245e-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] 2.35002209450538 y[1] (closed_form) 3.647293298251527 y[1] (numeric) 3.64729329825151 absolute error 1.687538997430238e-14 relative error 4.626825592115737e-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] 2.3600266498474585 y[1] (closed_form) 3.650215321297937 y[1] (numeric) 3.6502153212979183 absolute error 1.865174681370263e-14 relative error 5.109766184168685e-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] 2.370031205189537 y[1] (closed_form) 3.6532083895680127 y[1] (numeric) 3.6532083895679928 absolute error 1.9984014443252818e-14 relative error 5.470264028824236e-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] 2.3800357605316154 y[1] (closed_form) 3.656273204843549 y[1] (numeric) 3.656273204843529 absolute error 1.9984014443252818e-14 relative error 5.465678663394063e-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] 2.390040315873694 y[1] (closed_form) 3.6594104617251606 y[1] (numeric) 3.659410461725139 absolute error 2.1760371282653068e-14 relative error 5.946414459446713e-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] 2.4000448712157723 y[1] (closed_form) 3.66262084756276 y[1] (numeric) 3.6626208475627373 absolute error 2.2648549702353193e-14 relative error 6.18370031870057e-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] 2.4100494265578507 y[1] (closed_form) 3.6659050423867625 y[1] (numeric) 3.6659050423867394 absolute error 2.3092638912203256e-14 relative error 6.299300894375683e-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] 2.420053981899929 y[1] (closed_form) 3.6692637188400195 y[1] (numeric) 3.6692637188399955 absolute error 2.398081733190338e-14 relative error 6.535593832836998e-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] 2.4300585372420076 y[1] (closed_form) 3.6726975421104946 y[1] (numeric) 3.6726975421104697 absolute error 2.4868995751603507e-14 relative error 6.771316033095576e-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] 2.440063092584086 y[1] (closed_form) 3.6762071698646843 y[1] (numeric) 3.6762071698646586 absolute error 2.5757174171303632e-14 relative error 7.006453385555993e-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] 2.4500676479261645 y[1] (closed_form) 3.679793252181792 y[1] (numeric) 3.679793252181766 absolute error 2.6201263381153694e-14 relative error 7.120308556905652e-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] 2.460072203268243 y[1] (closed_form) 3.683456431488662 y[1] (numeric) 3.6834564314886364 absolute error 2.5757174171303632e-14 relative error 6.992664268026625e-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] 2.4700767586103214 y[1] (closed_form) 3.687197342495478 y[1] (numeric) 3.6871973424954527 absolute error 2.531308496145357e-14 relative error 6.865128879790793e-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] 2.4800813139524 y[1] (closed_form) 3.6910166121322354 y[1] (numeric) 3.6910166121322074 absolute error 2.7977620220553945e-14 relative error 7.57992259601123e-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] 2.4900858692944783 y[1] (closed_form) 3.6949148594859906 y[1] (numeric) 3.6949148594859613 absolute error 2.930988785010413e-14 relative error 7.93249343076379e-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] 2.5000904246365567 y[1] (closed_form) 3.6988926957388983 y[1] (numeric) 3.6988926957388673 absolute error 3.108624468950438e-14 relative error 8.404202891669592e-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] 2.510094979978635 y[1] (closed_form) 3.702950724107036 y[1] (numeric) 3.7029507241070054 absolute error 3.064215547965432e-14 relative error 8.275064337250573e-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] 2.5200995353207136 y[1] (closed_form) 3.7070895397800294 y[1] (numeric) 3.7070895397799974 absolute error 3.197442310920451e-14 relative error 8.625209282401579e-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] 2.530104090662792 y[1] (closed_form) 3.7113097298614792 y[1] (numeric) 3.7113097298614477 absolute error 3.1530333899354446e-14 relative error 8.495743064950627e-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] 2.5401086460048705 y[1] (closed_form) 3.7156118733101975 y[1] (numeric) 3.7156118733101673 absolute error 3.019806626980426e-14 relative error 8.127346800326896e-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] 2.550113201346949 y[1] (closed_form) 3.7199965408822604 y[1] (numeric) 3.7199965408822306 absolute error 2.9753977059954195e-14 relative error 7.998388367559486e-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] 2.5601177566890274 y[1] (closed_form) 3.7244642950738798 y[1] (numeric) 3.724464295073849 absolute error 3.064215547965432e-14 relative error 8.227265198966417e-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] 2.570122312031106 y[1] (closed_form) 3.7290156900651037 y[1] (numeric) 3.7290156900650726 absolute error 3.108624468950438e-14 relative error 8.33631372813067e-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] 2.5801268673731843 y[1] (closed_form) 3.733651271664348 y[1] (numeric) 3.733651271664315 absolute error 3.2862601528904634e-14 relative error 8.801732978735179e-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] 2.5901314227152628 y[1] (closed_form) 3.7383715772537665 y[1] (numeric) 3.7383715772537327 absolute error 3.375077994860476e-14 relative error 9.028203657967653e-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] 2.600135978057341 y[1] (closed_form) 3.743177135735463 y[1] (numeric) 3.7431771357354293 absolute error 3.375077994860476e-14 relative error 9.016613086885981e-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] 2.6101405333994196 y[1] (closed_form) 3.7480684674785567 y[1] (numeric) 3.7480684674785185 absolute error 3.8191672047105385e-14 relative error 1.018969433949485e-12% 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] 2.620145088741498 y[1] (closed_form) 3.753046084267093 y[1] (numeric) 3.7530460842670528 absolute error 4.04121180963557e-14 relative error 1.0767818243896546e-12% 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] 2.6299882802877366 y[1] (closed_form) 3.7580281140754686 y[1] (numeric) 3.7580281140754264 absolute error 4.218847493575595e-14 relative error 1.1226226535597631e-12% 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] 2.639992835629815 y[1] (closed_form) 3.7631783900492435 y[1] (numeric) 3.7631783900492004 absolute error 4.3076653355456074e-14 relative error 1.1446880506478566e-12% 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] 2.6499973909718935 y[1] (closed_form) 3.7684164266375575 y[1] (numeric) 3.768416426637513 absolute error 4.440892098500626e-14 relative error 1.1784504671802151e-12% 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] 2.660001946313972 y[1] (closed_form) 3.773742700922668 y[1] (numeric) 3.773742700922624 absolute error 4.39648317751562e-14 relative error 1.1650193258911621e-12% 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] 2.6700065016560504 y[1] (closed_form) 3.7791576811550955 y[1] (numeric) 3.7791576811550476 absolute error 4.796163466380676e-14 relative error 1.269109116641763e-12% 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] 2.680011056998129 y[1] (closed_form) 3.7846618267067567 y[1] (numeric) 3.7846618267067065 absolute error 5.0182080713057076e-14 relative error 1.3259330162326094e-12% 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] 2.6900156123402073 y[1] (closed_form) 3.7902555880249844 y[1] (numeric) 3.790255588024933 absolute error 5.1514348342607263e-14 relative error 1.3591259783472865e-12% 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] 2.7000201676822857 y[1] (closed_form) 3.7959394065874443 y[1] (numeric) 3.7959394065873906 absolute error 5.3734794391857577e-14 relative error 1.4155861997851342e-12% 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] 2.710024723024364 y[1] (closed_form) 3.801713714857945 y[1] (numeric) 3.801713714857891 absolute error 5.417888360170764e-14 relative error 1.4251173987658374e-12% 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] 2.7200292783664426 y[1] (closed_form) 3.8075789362431545 y[1] (numeric) 3.8075789362430985 absolute error 5.595524044110789e-14 relative error 1.4695753227461009e-12% 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] 2.730033833708521 y[1] (closed_form) 3.8135354850502203 y[1] (numeric) 3.8135354850501644 absolute error 5.595524044110789e-14 relative error 1.4672799207051568e-12% 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] 2.7400383890505995 y[1] (closed_form) 3.8195837664453016 y[1] (numeric) 3.8195837664452426 absolute error 5.906386491005833e-14 relative error 1.546342966187286e-12% 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] 2.750042944392678 y[1] (closed_form) 3.825724176413016 y[1] (numeric) 3.825724176412953 absolute error 6.306066779870889e-14 relative error 1.6483328355844599e-12% 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] 2.7600474997347564 y[1] (closed_form) 3.8319571017168044 y[1] (numeric) 3.8319571017167386 absolute error 6.572520305780927e-14 relative error 1.7151862954927881e-12% 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] 2.770052055076835 y[1] (closed_form) 3.8382829198602226 y[1] (numeric) 3.8382829198601556 absolute error 6.705747068735946e-14 relative error 1.7470695122651735e-12% 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] 2.7800566104189133 y[1] (closed_form) 3.844701999049153 y[1] (numeric) 3.844701999049083 absolute error 6.972200594645983e-14 relative error 1.8134566986909006e-12% 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] 2.7900611657609917 y[1] (closed_form) 3.8512146981549535 y[1] (numeric) 3.8512146981548807 absolute error 7.283063041541027e-14 relative error 1.8911080301573965e-12% 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] 2.80006572110307 y[1] (closed_form) 3.8578213666785373 y[1] (numeric) 3.857821366678463 absolute error 7.416289804496046e-14 relative error 1.922403631374264e-12% 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] 2.8100702764451486 y[1] (closed_form) 3.8645223447153905 y[1] (numeric) 3.864522344715316 absolute error 7.460698725481052e-14 relative error 1.9305616736007016e-12% 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] 2.820074831787227 y[1] (closed_form) 3.871317962921533 y[1] (numeric) 3.8713179629214554 absolute error 7.771561172376096e-14 relative error 2.00747167936348e-12% 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] 2.8300793871293055 y[1] (closed_form) 3.878208542480422 y[1] (numeric) 3.878208542480342 absolute error 7.993605777301127e-14 relative error 2.0611593445123458e-12% 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] 2.840083942471384 y[1] (closed_form) 3.8851943950708048 y[1] (numeric) 3.8851943950707213 absolute error 8.348877145181177e-14 relative error 2.148895601150229e-12% 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] 2.8500884978134624 y[1] (closed_form) 3.892275822835524 y[1] (numeric) 3.8922758228354377 absolute error 8.615330671091215e-14 relative error 2.213442999220683e-12% 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] 2.860093053155541 y[1] (closed_form) 3.899453118351274 y[1] (numeric) 3.899453118351187 absolute error 8.704148513061227e-14 relative error 2.23214595710832e-12% 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] 2.8700976084976193 y[1] (closed_form) 3.906726564599319 y[1] (numeric) 3.9067265645992313 absolute error 8.79296635503124e-14 relative error 2.2507247972531354e-12% 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] 2.8801021638396977 y[1] (closed_form) 3.914096434937168 y[1] (numeric) 3.914096434937079 absolute error 8.881784197001252e-14 relative error 2.269178683928831e-12% 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] 2.890106719181776 y[1] (closed_form) 3.9215629930712135 y[1] (numeric) 3.921562993071122 absolute error 9.14823772291129e-14 relative error 2.3328039710377703e-12% 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] 2.9001112745238546 y[1] (closed_form) 3.92912649303034 y[1] (numeric) 3.929126493030245 absolute error 9.459100169806334e-14 relative error 2.407430808497845e-12% 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] 2.910115829865933 y[1] (closed_form) 3.9367871791404943 y[1] (numeric) 3.936787179140399 absolute error 9.50350909079134e-14 relative error 2.4140266309407688e-12% 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] 2.9201203852080115 y[1] (closed_form) 3.944545286000235 y[1] (numeric) 3.9445452860001375 absolute error 9.725553695716371e-14 relative error 2.465570297857595e-12% 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] 2.93012494055009 y[1] (closed_form) 3.9524010384572477 y[1] (numeric) 3.952401038457148 absolute error 9.947598300641403e-14 relative error 2.5168494299668227e-12% 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] 2.9401294958921684 y[1] (closed_form) 3.9603546515858423 y[1] (numeric) 3.9603546515857406 absolute error 1.0169642905566434e-13 relative error 2.5678616690286083e-12% 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] 2.950134051234247 y[1] (closed_form) 3.9684063306654256 y[1] (numeric) 3.9684063306653212 absolute error 1.0436096431476471e-13 relative error 2.629795328878668e-12% 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] 2.9601386065763253 y[1] (closed_form) 3.976556271159954 y[1] (numeric) 3.976556271159848 absolute error 1.0613732115416497e-13 relative error 2.6690763041360134e-12% 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] 2.9701431619184038 y[1] (closed_form) 3.984804658698371 y[1] (numeric) 3.9848046586982617 absolute error 1.092459456231154e-13 relative error 2.741563388424676e-12% 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] 2.9799863534646422 y[1] (closed_form) 3.9930162564558773 y[1] (numeric) 3.9930162564557663 absolute error 1.1102230246251565e-13 relative error 2.7804119826212995e-12% 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] 2.9899909088067207 y[1] (closed_form) 4.001460460905928 y[1] (numeric) 4.001460460905815 absolute error 1.1368683772161603e-13 relative error 2.8411336019018765e-12% 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] 2.999995464148799 y[1] (closed_form) 4.010003607657896 y[1] (numeric) 4.010003607657778 absolute error 1.1812772982011666e-13 relative error 2.9458260235608858e-12% 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] 3.0100000194908776 y[1] (closed_form) 4.018645842984592 y[1] (numeric) 4.018645842984468 absolute error 1.234568003383174e-13 relative error 3.0720995370576817e-12% 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] 3.020004574832956 y[1] (closed_form) 4.027387303241026 y[1] (numeric) 4.027387303240903 absolute error 1.234568003383174e-13 relative error 3.0654315327201327e-12% 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] 3.0300091301750345 y[1] (closed_form) 4.036228114850755 y[1] (numeric) 4.0362281148506325 absolute error 1.2256862191861728e-13 relative error 3.0367119605465962e-12% 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] 3.040013685517113 y[1] (closed_form) 4.0451683942932295 y[1] (numeric) 4.045168394293105 absolute error 1.2434497875801753e-13 relative error 3.0739135343151283e-12% 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] 3.0500182408591914 y[1] (closed_form) 4.054208248092138 y[1] (numeric) 4.054208248092011 absolute error 1.270095140171179e-13 relative error 3.1327821918592135e-12% 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] 3.06002279620127 y[1] (closed_form) 4.063347772804737 y[1] (numeric) 4.0633477728046055 absolute error 1.3145040611561853e-13 relative error 3.2350272107003165e-12% Desired digits 12 Estimated correct digits 12 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] 3.0700273515433483 y[1] (closed_form) 4.072587055012198 y[1] (numeric) 4.072587055012061 absolute error 1.3677947663381929e-13 relative error 3.358540278850089e-12% Desired digits 12 Estimated correct digits 12 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] 3.0800319068854267 y[1] (closed_form) 4.081926171310931 y[1] (numeric) 4.08192617131079 absolute error 1.412203687323199e-13 relative error 3.459650243673228e-12% Desired digits 12 Estimated correct digits 12 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] 3.090036462227505 y[1] (closed_form) 4.091365188304927 y[1] (numeric) 4.0913651883047875 absolute error 1.3944401189291966e-13 relative error 3.4082514142594056e-12% Desired digits 12 Estimated correct digits 12 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] 3.1000410175695836 y[1] (closed_form) 4.1009041625990825 y[1] (numeric) 4.100904162598939 absolute error 1.438849039914203e-13 relative error 3.508614156450525e-12% Desired digits 12 Estimated correct digits 12 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] 3.110045572911662 y[1] (closed_form) 4.110543140793543 y[1] (numeric) 4.110543140793399 absolute error 1.438849039914203e-13 relative error 3.500386665778752e-12% Desired digits 12 Estimated correct digits 12 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] 3.1200501282537405 y[1] (closed_form) 4.12028215947903 y[1] (numeric) 4.120282159478883 absolute error 1.474376176702208e-13 relative error 3.5783378895794564e-12% Desired digits 12 Estimated correct digits 12 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] 3.130054683595819 y[1] (closed_form) 4.130121245233188 y[1] (numeric) 4.130121245233038 absolute error 1.5010215292932116e-13 relative error 3.6343280019336655e-12% Desired digits 12 Estimated correct digits 12 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] 3.1400592389378974 y[1] (closed_form) 4.140060414617914 y[1] (numeric) 4.140060414617765 absolute error 1.4921397450962104e-13 relative error 3.604149687834736e-12% Desired digits 12 Estimated correct digits 12 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] 3.150063794279976 y[1] (closed_form) 4.150099674177709 y[1] (numeric) 4.150099674177557 absolute error 1.5187850976872141e-13 relative error 3.659635230298758e-12% Desired digits 12 Estimated correct digits 12 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] 3.1600683496220543 y[1] (closed_form) 4.1602390204390165 y[1] (numeric) 4.160239020438858 absolute error 1.580957587066223e-13 relative error 3.800160469864997e-12% Desired digits 12 Estimated correct digits 12 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] 3.1700729049641327 y[1] (closed_form) 4.170478439910576 y[1] (numeric) 4.170478439910417 absolute error 1.5898393712632242e-13 relative error 3.812127059688897e-12% Desired digits 12 Estimated correct digits 12 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] 3.180077460306211 y[1] (closed_form) 4.180817909084765 y[1] (numeric) 4.180817909084604 absolute error 1.6076029396572267e-13 relative error 3.845187651353971e-12% Desired digits 12 Estimated correct digits 12 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] 3.1900820156482896 y[1] (closed_form) 4.191257394439963 y[1] (numeric) 4.191257394439799 absolute error 1.6342482922482304e-13 relative error 3.899183797244691e-12% Desired digits 12 Estimated correct digits 12 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] 3.200086570990368 y[1] (closed_form) 4.201796852443895 y[1] (numeric) 4.20179685244373 absolute error 1.652011860642233e-13 relative error 3.9316795139236014e-12% Desired digits 12 Estimated correct digits 12 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] 3.2100911263324465 y[1] (closed_form) 4.212436229558 y[1] (numeric) 4.212436229557832 absolute error 1.6786572132332367e-13 relative error 3.985003265935195e-12% Desired digits 12 Estimated correct digits 12 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] 3.220095681674525 y[1] (closed_form) 4.223175462242778 y[1] (numeric) 4.223175462242611 absolute error 1.6697754290362354e-13 relative error 3.953838631534095e-12% Desired digits 12 Estimated correct digits 12 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] 3.2301002370166034 y[1] (closed_form) 4.23401447696416 y[1] (numeric) 4.234014476963995 absolute error 1.652011860642233e-13 relative error 3.901762428140646e-12% Desired digits 12 Estimated correct digits 12 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] 3.240104792358682 y[1] (closed_form) 4.244953190200863 y[1] (numeric) 4.244953190200694 absolute error 1.687538997430238e-13 relative error 3.97540072132194e-12% Desired digits 12 Estimated correct digits 12 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] 3.2501093477007603 y[1] (closed_form) 4.255991508452749 y[1] (numeric) 4.255991508452579 absolute error 1.7053025658242404e-13 relative error 4.0068279328973504e-12% Desired digits 12 Estimated correct digits 12 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] 3.2601139030428388 y[1] (closed_form) 4.267129328250187 y[1] (numeric) 4.267129328250014 absolute error 1.7319479184152442e-13 relative error 4.058812811107041e-12% Desired digits 12 Estimated correct digits 12 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] 3.270118458384917 y[1] (closed_form) 4.278366536164404 y[1] (numeric) 4.2783665361642305 absolute error 1.7319479184152442e-13 relative error 4.04815226506505e-12% Desired digits 12 Estimated correct digits 12 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] 3.2801230137269957 y[1] (closed_form) 4.289703008818844 y[1] (numeric) 4.289703008818668 absolute error 1.758593271006248e-13 relative error 4.0995688218762516e-12% Desired digits 12 Estimated correct digits 12 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] 3.290127569069074 y[1] (closed_form) 4.3011386129015134 y[1] (numeric) 4.301138612901334 absolute error 1.794120407794253e-13 relative error 4.171268515766233e-12% Desired digits 12 Estimated correct digits 12 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] 3.3001321244111526 y[1] (closed_form) 4.312673205178326 y[1] (numeric) 4.312673205178144 absolute error 1.8207657603852567e-13 relative error 4.221895965126737e-12% Desired digits 12 Estimated correct digits 12 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] 3.310136679753231 y[1] (closed_form) 4.324306632507435 y[1] (numeric) 4.324306632507249 absolute error 1.8562928971732617e-13 relative error 4.292694887126671e-12% Desired digits 12 Estimated correct digits 12 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] 3.3201412350953095 y[1] (closed_form) 4.3360387318545675 y[1] (numeric) 4.336038731854376 absolute error 1.9184653865522705e-13 relative error 4.424465520702864e-12% Desired digits 12 Estimated correct digits 12 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] 3.329984426641548 y[1] (closed_form) 4.3476777336155035 y[1] (numeric) 4.347677733615305 absolute error 1.9806378759312793e-13 relative error 4.5556225582621374e-12% Desired digits 12 Estimated correct digits 12 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] 3.3399889819836264 y[1] (closed_form) 4.3596050641631585 y[1] (numeric) 4.359605064162954 absolute error 2.042810365310288e-13 relative error 4.685769319112424e-12% Desired digits 12 Estimated correct digits 12 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] 3.349993537325705 y[1] (closed_form) 4.371630521624148 y[1] (numeric) 4.371630521623942 absolute error 2.0605739337042905e-13 relative error 4.7135134671416515e-12% Desired digits 12 Estimated correct digits 12 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] 3.3599980926677833 y[1] (closed_form) 4.383753903725788 y[1] (numeric) 4.383753903725575 absolute error 2.1316282072803006e-13 relative error 4.86256357928444e-12% Desired digits 12 Estimated correct digits 12 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] 3.3700026480098617 y[1] (closed_form) 4.395974998394087 y[1] (numeric) 4.395974998393871 absolute error 2.1582735598713043e-13 relative error 4.909658404926672e-12% Desired digits 12 Estimated correct digits 12 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] 3.38000720335194 y[1] (closed_form) 4.4082935837749755 y[1] (numeric) 4.408293583774753 absolute error 2.220446049250313e-13 relative error 5.036974074101634e-12% Desired digits 12 Estimated correct digits 12 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] 3.3900117586940186 y[1] (closed_form) 4.42070942825651 y[1] (numeric) 4.420709428256283 absolute error 2.2648549702353193e-13 relative error 5.123283959263884e-12% Desired digits 12 Estimated correct digits 12 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] 3.400016314036097 y[1] (closed_form) 4.433222290492054 y[1] (numeric) 4.4332222904918215 absolute error 2.327027459614328e-13 relative error 5.249065594128026e-12% Desired digits 12 Estimated correct digits 12 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] 3.4100208693781755 y[1] (closed_form) 4.445831919424437 y[1] (numeric) 4.445831919424201 absolute error 2.362554596402333e-13 relative error 5.31408887969879e-12% Desired digits 12 Estimated correct digits 12 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] 3.420025424720254 y[1] (closed_form) 4.458538054311079 y[1] (numeric) 4.458538054310842 absolute error 2.3714363805993344e-13 relative error 5.3188654032151405e-12% Desired digits 12 Estimated correct digits 12 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] 3.4300299800623324 y[1] (closed_form) 4.471340424750094 y[1] (numeric) 4.471340424749854 absolute error 2.4069635173873394e-13 relative error 5.383091620723255e-12% Desired digits 12 Estimated correct digits 12 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] 3.440034535404411 y[1] (closed_form) 4.48423875070735 y[1] (numeric) 4.484238750707108 absolute error 2.4158453015843406e-13 relative error 5.387414533187516e-12% Desired digits 12 Estimated correct digits 12 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] 3.4500390907464893 y[1] (closed_form) 4.497232742544498 y[1] (numeric) 4.497232742544254 absolute error 2.4424906541753444e-13 relative error 5.431096841106344e-12% Desired digits 12 Estimated correct digits 12 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] 3.4600436460885677 y[1] (closed_form) 4.510322101047965 y[1] (numeric) 4.510322101047717 absolute error 2.4780177909633494e-13 relative error 5.494103825506357e-12% Desired digits 12 Estimated correct digits 12 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] 3.470048201430646 y[1] (closed_form) 4.523506517458899 y[1] (numeric) 4.523506517458646 absolute error 2.531308496145357e-13 relative error 5.595898859381618e-12% Desired digits 12 Estimated correct digits 12 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] 3.4800527567727246 y[1] (closed_form) 4.536785673504075 y[1] (numeric) 4.53678567350382 absolute error 2.5490720645393594e-13 relative error 5.618674206777182e-12% Desired digits 12 Estimated correct digits 12 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] 3.490057312114803 y[1] (closed_form) 4.55015924142775 y[1] (numeric) 4.55015924142749 absolute error 2.5934809855243657e-13 relative error 5.6997587291265504e-12% Desired digits 12 Estimated correct digits 12 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] 3.5000618674568815 y[1] (closed_form) 4.563626884024467 y[1] (numeric) 4.563626884024205 absolute error 2.6201263381153694e-13 relative error 5.741324618994251e-12% Desired digits 12 Estimated correct digits 12 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] 3.51006642279896 y[1] (closed_form) 4.577188254672812 y[1] (numeric) 4.577188254672548 absolute error 2.637889906509372e-13 relative error 5.763123034794063e-12% Desired digits 12 Estimated correct digits 12 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] 3.5200709781410384 y[1] (closed_form) 4.590842997370098 y[1] (numeric) 4.59084299736983 absolute error 2.682298827494378e-13 relative error 5.842715224700463e-12% Desired digits 12 Estimated correct digits 12 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] 3.530075533483117 y[1] (closed_form) 4.604590746768003 y[1] (numeric) 4.604590746767729 absolute error 2.7355895326763857e-13 relative error 5.941004712734822e-12% Desired digits 12 Estimated correct digits 12 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] 3.5400800888251953 y[1] (closed_form) 4.6184311282091395 y[1] (numeric) 4.618431128208867 absolute error 2.7267077484793845e-13 relative error 5.903969709161178e-12% Desired digits 12 Estimated correct digits 12 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] 3.5500846441672738 y[1] (closed_form) 4.63236375776455 y[1] (numeric) 4.632363757764268 absolute error 2.815525590449397e-13 relative error 6.077945812718498e-12% Desired digits 12 Estimated correct digits 12 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] 3.560089199509352 y[1] (closed_form) 4.6463882422721365 y[1] (numeric) 4.646388242271849 absolute error 2.877698079828406e-13 relative error 6.1934085784040695e-12% Desired digits 12 Estimated correct digits 12 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] 3.5700937548514307 y[1] (closed_form) 4.660504179376012 y[1] (numeric) 4.660504179375722 absolute error 2.9043434324194095e-13 relative error 6.231822396537938e-12% Desired digits 12 Estimated correct digits 12 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] 3.580098310193509 y[1] (closed_form) 4.674711157566774 y[1] (numeric) 4.674711157566479 absolute error 2.948752353404416e-13 relative error 6.307881394193488e-12% Desired digits 12 Estimated correct digits 12 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] 3.5901028655355876 y[1] (closed_form) 4.6890087562226865 y[1] (numeric) 4.689008756222389 absolute error 2.9753977059954195e-13 relative error 6.345472701553032e-12% Desired digits 12 Estimated correct digits 12 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] 3.600107420877666 y[1] (closed_form) 4.703396545651789 y[1] (numeric) 4.703396545651489 absolute error 3.0020430585864233e-13 relative error 6.382713065862502e-12% Desired digits 12 Estimated correct digits 12 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] 3.6101119762197444 y[1] (closed_form) 4.7178740871348985 y[1] (numeric) 4.717874087134594 absolute error 3.0464519795714295e-13 relative error 6.457255796373952e-12% Desired digits 12 Estimated correct digits 12 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] 3.620116531561823 y[1] (closed_form) 4.7324409329695225 y[1] (numeric) 4.732440932969211 absolute error 3.1175062531474396e-13 relative error 6.587522797017267e-12% Desired digits 12 Estimated correct digits 12 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] 3.6301210869039013 y[1] (closed_form) 4.74709662651467 y[1] (numeric) 4.747096626514358 absolute error 3.126388037344441e-13 relative error 6.585895091922411e-12% Desired digits 12 Estimated correct digits 12 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] 3.64012564224598 y[1] (closed_form) 4.761840702236557 y[1] (numeric) 4.761840702236244 absolute error 3.135269821541442e-13 relative error 6.584155198784491e-12% Desired digits 12 Estimated correct digits 12 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] 3.6501301975880582 y[1] (closed_form) 4.7766726857552015 y[1] (numeric) 4.776672685754883 absolute error 3.1885605267234496e-13 relative error 6.675275315037274e-12% Desired digits 12 Estimated correct digits 12 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] 3.6601347529301367 y[1] (closed_form) 4.791592093891904 y[1] (numeric) 4.791592093891583 absolute error 3.206324095117452e-13 relative error 6.69156312200432e-12% Desired digits 12 Estimated correct digits 12 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] 3.670139308272215 y[1] (closed_form) 4.806598434717608 y[1] (numeric) 4.806598434717281 absolute error 3.268496584496461e-13 relative error 6.800020074255461e-12% Desired digits 12 Estimated correct digits 12 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] 3.6801438636142936 y[1] (closed_form) 4.821691207602141 y[1] (numeric) 4.821691207601809 absolute error 3.3217872896784684e-13 relative error 6.889257620730995e-12% Desired digits 12 Estimated correct digits 12 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] 3.689987055160532 y[1] (closed_form) 4.83662440654883 y[1] (numeric) 4.836624406548495 absolute error 3.348432642269472e-13 relative error 6.923077669077769e-12% Desired digits 12 Estimated correct digits 12 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] 3.6999916105026105 y[1] (closed_form) 4.851887133763127 y[1] (numeric) 4.85188713376279 absolute error 3.375077994860476e-13 relative error 6.9562170384675924e-12% Desired digits 12 Estimated correct digits 12 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] 3.709996165844689 y[1] (closed_form) 4.867234748002779 y[1] (numeric) 4.86723474800244 absolute error 3.383959779057477e-13 relative error 6.952530449545405e-12% Desired digits 12 Estimated correct digits 12 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] 3.7200007211867674 y[1] (closed_form) 4.882666714479454 y[1] (numeric) 4.882666714479111 absolute error 3.4283687000424834e-13 relative error 7.0215087379929545e-12% Desired digits 12 Estimated correct digits 12 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] 3.730005276528846 y[1] (closed_form) 4.898182489961984 y[1] (numeric) 4.89818248996164 absolute error 3.4372504842394846e-13 relative error 7.017399803464983e-12% Desired digits 12 Estimated correct digits 12 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] 3.7400098318709243 y[1] (closed_form) 4.913781522830732 y[1] (numeric) 4.913781522830383 absolute error 3.490541189421492e-13 relative error 7.103574249696517e-12% Desired digits 12 Estimated correct digits 12 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] 3.7500143872130027 y[1] (closed_form) 4.929463253132804 y[1] (numeric) 4.929463253132449 absolute error 3.5438318946034997e-13 relative error 7.189082690394945e-12% Desired digits 12 Estimated correct digits 12 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] 3.760018942555081 y[1] (closed_form) 4.945227112638095 y[1] (numeric) 4.9452271126377365 absolute error 3.588240815588506e-13 relative error 7.25596769138943e-12% Desired digits 12 Estimated correct digits 12 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] 3.7700234978971596 y[1] (closed_form) 4.961072524896168 y[1] (numeric) 4.961072524895801 absolute error 3.668176873361517e-13 relative error 7.393919066801567e-12% Desired digits 12 Estimated correct digits 12 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] 3.780028053239238 y[1] (closed_form) 4.976998905293943 y[1] (numeric) 4.9769989052935735 absolute error 3.694822225952521e-13 relative error 7.423795536748874e-12% Desired digits 12 Estimated correct digits 12 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] 3.7900326085813165 y[1] (closed_form) 4.993005661114216 y[1] (numeric) 4.99300566111384 absolute error 3.7569947153315297e-13 relative error 7.524515232560613e-12% Desired digits 12 Estimated correct digits 12 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] 3.800037163923395 y[1] (closed_form) 5.009092191594986 y[1] (numeric) 5.009092191594607 absolute error 3.7925218521195347e-13 relative error 7.571275806189399e-12% Desired digits 12 Estimated correct digits 12 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] 3.8100417192654734 y[1] (closed_form) 5.025257887989579 y[1] (numeric) 5.025257887989197 absolute error 3.8191672047105385e-13 relative error 7.599942709086413e-12% Desired digits 12 Estimated correct digits 12 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] 3.820046274607552 y[1] (closed_form) 5.041502133627585 y[1] (numeric) 5.041502133627195 absolute error 3.89910326248355e-13 relative error 7.734010933915785e-12% Desired digits 12 Estimated correct digits 12 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] 3.8300508299496303 y[1] (closed_form) 5.057824303976574 y[1] (numeric) 5.057824303976177 absolute error 3.97015753605956e-13 relative error 7.849536277759063e-12% Desired digits 12 Estimated correct digits 12 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] 3.8400553852917088 y[1] (closed_form) 5.074223766704611 y[1] (numeric) 5.07422376670421 absolute error 4.005684672847565e-13 relative error 7.894182158720613e-12% Desired digits 12 Estimated correct digits 12 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] 3.850059940633787 y[1] (closed_form) 5.090699881743545 y[1] (numeric) 5.090699881743141 absolute error 4.04121180963557e-13 relative error 7.938420852756048e-12% Desired digits 12 Estimated correct digits 12 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] 3.8600644959758657 y[1] (closed_form) 5.107252001353069 y[1] (numeric) 5.107252001352665 absolute error 4.0323300254385686e-13 relative error 7.895302648802683e-12% Desired digits 12 Estimated correct digits 12 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] 3.870069051317944 y[1] (closed_form) 5.12387947018556 y[1] (numeric) 5.123879470185155 absolute error 4.050093593832571e-13 relative error 7.904349853268304e-12% Desired digits 12 Estimated correct digits 12 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] 3.8800736066600225 y[1] (closed_form) 5.14058162535167 y[1] (numeric) 5.140581625351259 absolute error 4.11226608321158e-13 relative error 7.999612462004739e-12% Desired digits 12 Estimated correct digits 12 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] 3.890078162002101 y[1] (closed_form) 5.157357796486669 y[1] (numeric) 5.157357796486251 absolute error 4.1744385725905886e-13 relative error 8.094141879072902e-12% Desired digits 12 Estimated correct digits 12 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] 3.9000827173441794 y[1] (closed_form) 5.174207305817551 y[1] (numeric) 5.174207305817127 absolute error 4.2366110619695974e-13 relative error 8.187942251958519e-12% Desired digits 12 Estimated correct digits 12 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] 3.910087272686258 y[1] (closed_form) 5.1911294682308675 y[1] (numeric) 5.191129468230439 absolute error 4.2810199829546036e-13 relative error 8.24679871529687e-12% Desired digits 12 Estimated correct digits 12 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] 3.9200918280283363 y[1] (closed_form) 5.208123591341301 y[1] (numeric) 5.208123591340871 absolute error 4.298783551348606e-13 relative error 8.253996810858124e-12% Desired digits 12 Estimated correct digits 12 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] 3.930096383370415 y[1] (closed_form) 5.225188975560968 y[1] (numeric) 5.225188975560535 absolute error 4.334310688136611e-13 relative error 8.295031449405686e-12% Desired digits 12 Estimated correct digits 12 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] 3.9401009387124932 y[1] (closed_form) 5.242324914169441 y[1] (numeric) 5.242324914169002 absolute error 4.3876013933186186e-13 relative error 8.369571640741695e-12% Desired digits 12 Estimated correct digits 12 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] 3.9501054940545717 y[1] (closed_form) 5.259530693384477 y[1] (numeric) 5.259530693384035 absolute error 4.4142467459096224e-13 relative error 8.392852905035679e-12% Desired digits 12 Estimated correct digits 12 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] 3.96011004939665 y[1] (closed_form) 5.276805592433473 y[1] (numeric) 5.27680559243303 absolute error 4.432010314303625e-13 relative error 8.399040360059466e-12% Desired digits 12 Estimated correct digits 12 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] 3.9701146047387286 y[1] (closed_form) 5.2941488836256 y[1] (numeric) 5.2941488836251525 absolute error 4.476419235288631e-13 relative error 8.455408666601453e-12% Desired digits 12 Estimated correct digits 12 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] 3.980119160080807 y[1] (closed_form) 5.311559832424637 y[1] (numeric) 5.311559832424184 absolute error 4.5297099404706387e-13 relative error 8.528022056381323e-12% Desired digits 12 Estimated correct digits 12 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] 3.9901237154228855 y[1] (closed_form) 5.3290376975224945 y[1] (numeric) 5.329037697522032 absolute error 4.627409566637652e-13 relative error 8.683386812573996e-12% Desired digits 12 Estimated correct digits 12 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] 4.0001282707649635 y[1] (closed_form) 5.346581730913411 y[1] (numeric) 5.346581730912944 absolute error 4.671818487622659e-13 relative error 8.737953935335287e-12% Desired digits 12 Estimated correct digits 12 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] 4.010132826107042 y[1] (closed_form) 5.364191177968824 y[1] (numeric) 5.364191177968354 absolute error 4.698463840213662e-13 relative error 8.758941813093168e-12% Desired digits 12 Estimated correct digits 12 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] 4.02013738144912 y[1] (closed_form) 5.381865277512892 y[1] (numeric) 5.381865277512412 absolute error 4.805045250577678e-13 relative error 8.928215410100755e-12% Desired digits 12 Estimated correct digits 12 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] 4.030141936791199 y[1] (closed_form) 5.399603261898694 y[1] (numeric) 5.399603261898208 absolute error 4.858335955759685e-13 relative error 8.99757948892586e-12% Desired digits 12 Estimated correct digits 12 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] 4.039985128337437 y[1] (closed_form) 5.417116745983651 y[1] (numeric) 5.417116745983162 absolute error 4.884981308350689e-13 relative error 9.017677737834435e-12% Desired digits 12 Estimated correct digits 12 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] 4.049989683679516 y[1] (closed_form) 5.4349791725074335 y[1] (numeric) 5.434979172506943 absolute error 4.902744876744691e-13 relative error 9.020724313986294e-12% Desired digits 12 Estimated correct digits 12 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] 4.059994239021594 y[1] (closed_form) 5.452903155613319 y[1] (numeric) 5.452903155612822 absolute error 4.9649173661237e-13 relative error 9.10508993913219e-12% Desired digits 12 Estimated correct digits 12 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] 4.069998794363673 y[1] (closed_form) 5.470887902643464 y[1] (numeric) 5.470887902642959 absolute error 5.053735208093713e-13 relative error 9.237504584314023e-12% Desired digits 12 Estimated correct digits 12 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] 4.080003349705751 y[1] (closed_form) 5.488932614858147 y[1] (numeric) 5.488932614857634 absolute error 5.124789481669723e-13 relative error 9.336586621226292e-12% Desired digits 12 Estimated correct digits 12 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] 4.0900079050478295 y[1] (closed_form) 5.5070364875157125 y[1] (numeric) 5.507036487515195 absolute error 5.17808018685173e-13 relative error 9.4026618465127e-12% Desired digits 12 Estimated correct digits 12 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] 4.100012460389908 y[1] (closed_form) 5.52519870995312 y[1] (numeric) 5.5251987099525985 absolute error 5.213607323639735e-13 relative error 9.436053972589107e-12% Desired digits 12 Estimated correct digits 12 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] 4.110017015731986 y[1] (closed_form) 5.54341846566708 y[1] (numeric) 5.543418465666555 absolute error 5.24913446042774e-13 relative error 9.469129009361326e-12% Desired digits 12 Estimated correct digits 12 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] 4.120021571074065 y[1] (closed_form) 5.561694932395785 y[1] (numeric) 5.561694932395256 absolute error 5.284661597215745e-13 relative error 9.501890451476626e-12% Desired digits 12 Estimated correct digits 12 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] 4.130026126416143 y[1] (closed_form) 5.5800272822012 y[1] (numeric) 5.580027282200668 absolute error 5.32018873400375e-13 relative error 9.53434179609432e-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] 4.140030681758222 y[1] (closed_form) 5.59841468155194 y[1] (numeric) 5.598414681551408 absolute error 5.32018873400375e-13 relative error 9.50302726151207e-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] 4.1500352371003 y[1] (closed_form) 5.616856291406696 y[1] (numeric) 5.61685629140616 absolute error 5.364597654988756e-13 relative error 9.550889993742809e-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] 4.160039792442379 y[1] (closed_form) 5.635351267298211 y[1] (numeric) 5.635351267297672 absolute error 5.39124300757976e-13 relative error 9.566826896603581e-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] 4.170044347784457 y[1] (closed_form) 5.653898759417807 y[1] (numeric) 5.653898759417263 absolute error 5.435651928564766e-13 relative error 9.613988788728305e-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] 4.1800489031265355 y[1] (closed_form) 5.672497912700439 y[1] (numeric) 5.672497912699891 absolute error 5.480060849549773e-13 relative error 9.660754281249167e-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] 4.190053458468614 y[1] (closed_form) 5.691147866910285 y[1] (numeric) 5.691147866909731 absolute error 5.542233338928781e-13 relative error 9.738340082767259e-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] 4.200058013810692 y[1] (closed_form) 5.709847756726841 y[1] (numeric) 5.709847756726278 absolute error 5.631051180898794e-13 relative error 9.86199881470532e-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] 4.210062569152771 y[1] (closed_form) 5.728596711831534 y[1] (numeric) 5.728596711830962 absolute error 5.719869022868806e-13 relative error 9.98476469997495e-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] 4.220067124494849 y[1] (closed_form) 5.747393856994831 y[1] (numeric) 5.747393856994254 absolute error 5.773159728050814e-13 relative error 1.0044830529622785e-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] 4.230071679836928 y[1] (closed_form) 5.766238312163845 y[1] (numeric) 5.766238312163263 absolute error 5.826450433232822e-13 relative error 1.0104421839350551e-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] 4.240076235179006 y[1] (closed_form) 5.785129192550413 y[1] (numeric) 5.785129192549825 absolute error 5.879741138414829e-13 relative error 1.0163543358696724e-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] 4.250080790521085 y[1] (closed_form) 5.804065608719661 y[1] (numeric) 5.804065608719067 absolute error 5.941913627793838e-13 relative error 1.023750251697204e-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] 4.260085345863163 y[1] (closed_form) 5.823046666679021 y[1] (numeric) 5.823046666678422 absolute error 5.986322548778844e-13 relative error 1.0280395970436112e-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] 4.270089901205242 y[1] (closed_form) 5.842071467967722 y[1] (numeric) 5.842071467967119 absolute error 6.03073146976385e-13 relative error 1.0322933402698953e-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] 4.28009445654732 y[1] (closed_form) 5.861139109746705 y[1] (numeric) 5.861139109746097 absolute error 6.075140390748857e-13 relative error 1.036511892482859e-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] 4.2900990118893985 y[1] (closed_form) 5.880248684888995 y[1] (numeric) 5.880248684888385 absolute error 6.10178574333986e-13 relative error 1.0376747770923649e-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] 4.300103567231477 y[1] (closed_form) 5.899399282070495 y[1] (numeric) 5.8993992820698775 absolute error 6.17284001691587e-13 relative error 1.0463506065230096e-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] 4.310108122573555 y[1] (closed_form) 5.9185899858612 y[1] (numeric) 5.918589985860578 absolute error 6.217248937900877e-13 relative error 1.0504611660468351e-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] 4.320112677915634 y[1] (closed_form) 5.937819876816823 y[1] (numeric) 5.937819876816195 absolute error 6.279421427279885e-13 relative error 1.0575297933500452e-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] 4.330117233257712 y[1] (closed_form) 5.957088031570821 y[1] (numeric) 5.957088031570188 absolute error 6.332712132461893e-13 relative error 1.0630549857414183e-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] 4.340121788599791 y[1] (closed_form) 5.976393522926817 y[1] (numeric) 5.976393522926179 absolute error 6.3860028376439e-13 relative error 1.0685378754169596e-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] 4.350126343941869 y[1] (closed_form) 5.995735419951404 y[1] (numeric) 5.9957354199507575 absolute error 6.465938895416912e-13 relative error 1.0784229860945596e-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] 4.360130899283948 y[1] (closed_form) 6.015112788067318 y[1] (numeric) 6.015112788066667 absolute error 6.510347816401918e-13 relative error 1.0823317942295345e-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] 4.370135454626026 y[1] (closed_form) 6.034524689146986 y[1] (numeric) 6.034524689146332 absolute error 6.536993168992922e-13 relative error 1.08326562666147e-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] 4.3801400099681045 y[1] (closed_form) 6.053970181606417 y[1] (numeric) 6.053970181605757 absolute error 6.59916565837193e-13 relative error 1.0900558576290918e-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] 4.390144565310183 y[1] (closed_form) 6.073448320499454 y[1] (numeric) 6.073448320498787 absolute error 6.67021993194794e-13 relative error 1.098259107504748e-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] 4.399987756856421 y[1] (closed_form) 6.092643236300216 y[1] (numeric) 6.092643236299542 absolute error 6.732392421326949e-13 relative error 1.1050035526805642e-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] 4.4099923121985 y[1] (closed_form) 6.112183331894852 y[1] (numeric) 6.112183331894173 absolute error 6.785683126508957e-13 relative error 1.1101897240384822e-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] 4.419996867540578 y[1] (closed_form) 6.131753235277508 y[1] (numeric) 6.131753235276826 absolute error 6.821210263296962e-13 relative error 1.11244043939225e-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] 4.430001422882657 y[1] (closed_form) 6.1513519890497 y[1] (numeric) 6.151351989049013 absolute error 6.865619184281968e-13 relative error 1.1161154810363262e-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] 4.440005978224735 y[1] (closed_form) 6.170978632925296 y[1] (numeric) 6.170978632924605 absolute error 6.910028105266974e-13 relative error 1.1197621181830828e-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] 4.450010533566814 y[1] (closed_form) 6.190632203826638 y[1] (numeric) 6.190632203825944 absolute error 6.945555242054979e-13 relative error 1.1219460328723289e-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] 4.460015088908892 y[1] (closed_form) 6.210311735980936 y[1] (numeric) 6.210311735980237 absolute error 6.989964163039986e-13 relative error 1.1255415927902533e-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) 6.230016261016927 y[1] (numeric) 6.230016261016221 absolute error 7.061018436615996e-13 relative error 1.1333868389395541e-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) 6.249744808061805 y[1] (numeric) 6.249744808061095 absolute error 7.096545573404001e-13 relative error 1.1354936547568906e-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) 6.269496403838394 y[1] (numeric) 6.269496403837679 absolute error 7.149836278586008e-13 relative error 1.1404163617046882e-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) 6.289270072762563 y[1] (numeric) 6.289270072761843 absolute error 7.203126983768016e-13 relative error 1.1453041291648716e-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) 6.309064837040875 y[1] (numeric) 6.309064837040148 absolute error 7.274181257344026e-13 relative error 1.1529729754300347e-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) 6.328879716768451 y[1] (numeric) 6.3288797167677195 absolute error 7.318590178329032e-13 relative error 1.1563800397309385e-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) 6.34871373002705 y[1] (numeric) 6.348713730026314 absolute error 7.362999099314038e-13 relative error 1.159762341226664e-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) 6.368565892983354 y[1] (numeric) 6.368565892982611 absolute error 7.434053372890048e-13 relative error 1.1673041463040538e-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) 6.388435219987432 y[1] (numeric) 6.388435219986688 absolute error 7.442935157087049e-13 relative error 1.1650638850966844e-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) 6.408320723671402 y[1] (numeric) 6.408320723670646 absolute error 7.558398351648066e-13 relative error 1.1794663028846924e-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) 6.428221415048251 y[1] (numeric) 6.4282214150474895 absolute error 7.611689056830073e-13 relative error 1.1841049903805997e-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) 6.448136303610827 y[1] (numeric) 6.448136303610062 absolute error 7.647216193618078e-13 relative error 1.1859575904646727e-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) 6.468064397430975 y[1] (numeric) 6.4680643974302034 absolute error 7.718270467194088e-13 relative error 1.1932890572734058e-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) 6.488004703258826 y[1] (numeric) 6.48800470325805 absolute error 7.762679388179095e-13 relative error 1.1964663626522988e-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) 6.507956226622204 y[1] (numeric) 6.507956226621421 absolute error 7.824851877558103e-13 relative error 1.2023516454442107e-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) 6.527917971926168 y[1] (numeric) 6.527917971925378 absolute error 7.904787935331115e-13 relative error 1.2109202305124368e-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) 6.54788894255266 y[1] (numeric) 6.547888942551864 absolute error 7.966960424710123e-13 relative error 1.2167219839260507e-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) 6.5678681409602575 y[1] (numeric) 6.567868140959456 absolute error 8.01136934569513e-13 relative error 1.2197823058798231e-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) 6.587854568784014 y[1] (numeric) 6.587854568783207 absolute error 8.064660050877137e-13 relative error 1.2241709294996946e-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) 6.607847226935391 y[1] (numeric) 6.607847226934576 absolute error 8.15347789284715e-13 relative error 1.2339083536331387e-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) 6.627845115702256 y[1] (numeric) 6.627845115701438 absolute error 8.180123245438153e-13 relative error 1.234205552881485e-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) 6.647847234848941 y[1] (numeric) 6.647847234848116 absolute error 8.251177519014163e-13 relative error 1.2411803742661746e-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) 6.667852583716356 y[1] (numeric) 6.667852583715521 absolute error 8.348877145181177e-13 relative error 1.2521088371944622e-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) 6.687860161322151 y[1] (numeric) 6.68786016132131 absolute error 8.411049634560186e-13 relative error 1.2576593157858984e-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) 6.707868966460899 y[1] (numeric) 6.707868966460054 absolute error 8.455458555545192e-13 relative error 1.260528283695191e-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) 6.72787799780431 y[1] (numeric) 6.7278779978034615 absolute error 8.482103908136196e-13 relative error 1.2607398515407667e-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) 6.74788625400145 y[1] (numeric) 6.747886254000595 absolute error 8.553158181712206e-13 relative error 1.2675314698199368e-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) 6.767892733778973 y[1] (numeric) 6.7678927337781145 absolute error 8.588685318500211e-13 relative error 1.2690339011482182e-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) 6.787573822972012 y[1] (numeric) 6.7875738229711455 absolute error 8.668621376273222e-13 relative error 1.2771310636703429e-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) 6.8075738157816 y[1] (numeric) 6.807573815780726 absolute error 8.739675649849232e-13 relative error 1.2838165088402792e-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) 6.8275690459517095 y[1] (numeric) 6.8275690459508285 absolute error 8.810729923425242e-13 relative error 1.2904636868739415e-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) 6.847558513512771 y[1] (numeric) 6.847558513511888 absolute error 8.828493491819245e-13 relative error 1.289290697464995e-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) 6.867541219071999 y[1] (numeric) 6.867541219071106 absolute error 8.926193117986259e-13 relative error 1.2997654958658468e-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) 6.887516163913416 y[1] (numeric) 6.887516163912519 absolute error 8.970602038971265e-13 relative error 1.302443700382441e-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) 6.907482350097818 y[1] (numeric) 6.9074823500969105 absolute error 9.07718344933528e-13 relative error 1.3141088155233196e-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) 6.9274387805626585 y[1] (numeric) 6.927438780561746 absolute error 9.121592370320286e-13 relative error 1.3167337394469785e-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) 6.947384459221844 y[1] (numeric) 6.947384459220921 absolute error 9.228173780684301e-13 relative error 1.3282946747584947e-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) 6.96731839106543 y[1] (numeric) 6.967318391064503 absolute error 9.272582701669307e-13 relative error 1.3308682309624376e-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) 6.987239582259217 y[1] (numeric) 6.987239582258284 absolute error 9.325873406851315e-13 relative error 1.3347006778656839e-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) 7.007147040244218 y[1] (numeric) 7.007147040243282 absolute error 9.36140054363932e-13 relative error 1.3359788926754204e-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) 7.02703977383601 y[1] (numeric) 7.027039773835067 absolute error 9.423573033018329e-13 relative error 1.3410444990087297e-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) 7.046916793323936 y[1] (numeric) 7.046916793322991 absolute error 9.450218385609332e-13 relative error 1.3410429926691092e-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) 7.066777110570171 y[1] (numeric) 7.06677711056922 absolute error 9.512390874988341e-13 relative error 1.3460720107841139e-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) 7.086619739108619 y[1] (numeric) 7.086619739107665 absolute error 9.547918011776346e-13 relative error 1.3473162612471878e-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) 7.106443694243656 y[1] (numeric) 7.106443694242698 absolute error 9.583445148564351e-13 relative error 1.3485571068869664e-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) 7.126247993148681 y[1] (numeric) 7.12624799314772 absolute error 9.610090501155355e-13 relative error 1.3485484241349291e-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) 7.14603165496449 y[1] (numeric) 7.146031654963526 absolute error 9.64561763794336e-13 relative error 1.3497865813737834e-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) 7.165793700897457 y[1] (numeric) 7.165793700896488 absolute error 9.690026558928366e-13 relative error 1.3522614470068779e-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) 7.18553315431749 y[1] (numeric) 7.185533154316518 absolute error 9.71667191151937e-13 relative error 1.3522548296476821e-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) 7.205249040855792 y[1] (numeric) 7.205249040854816 absolute error 9.761080832504376e-13 relative error 1.3547180364143277e-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) 7.224940388502379 y[1] (numeric) 7.224940388501397 absolute error 9.814371537686384e-13 relative error 1.3584017320481663e-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) 7.244606227703374 y[1] (numeric) 7.244606227702384 absolute error 9.894307595459395e-13 relative error 1.3657481558657479e-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) 7.264245591458047 y[1] (numeric) 7.264245591457053 absolute error 9.938716516444401e-13 relative error 1.3681691224937712e-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 ) = 1.0 - sin ( x ) ; 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%