##############ECHO OF PROBLEM################# ##############R:Temp/subpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.0) x_end=c(10.0) $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 # 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)) - sin(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0 y[1] (closed_form) 1.0 y[1] (numeric) 1.0 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 14 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5 Order of pole (three term test) 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.010000000000000002 y[1] (closed_form) 0.9900501662491681 y[1] (numeric) 0.9900501662491682 absolute error 1.1102230246251565e-16 relative error 1.121380574916993e-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 0.49990000333328893 Order of pole (three term test) 32.490000666653344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.02000000000000001 y[1] (closed_form) 0.9802013266400892 y[1] (numeric) 0.9802013266400893 absolute error 1.1102230246251565e-16 relative error 1.1326479514476406e-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 0.4996000533304889 Order of pole (three term test) 32.48000533290668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.03000000000000002 y[1] (closed_form) 0.9704544660485168 y[1] (numeric) 0.9704544660485172 absolute error 3.3306690738754696e-16 relative error 3.432071457651426e-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 0.4991002699676022 Order of pole (three term test) 32.47001799676028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.04000000000000003 y[1] (closed_form) 0.9608105591523879 y[1] (numeric) 0.9608105591523882 absolute error 3.3306690738754696e-16 relative error 3.466520056579867e-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 0.4984008531513096 Order of pole (three term test) 32.460042653015414 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.05000000000000004 y[1] (closed_form) 0.9512705703343554 y[1] (numeric) 0.9512705703343556 absolute error 2.220446049250313e-16 relative error 2.33418978626645e-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 0.4975020826390129 Order of pole (three term test) 32.450083291676584 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.060000000000000046 y[1] (closed_form) 0.941835453585351 y[1] (numeric) 0.9418354535853514 absolute error 3.3306690738754696e-16 relative error 3.536359839923607e-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 0.49640431792693307 Order of pole (three term test) 32.440143896355536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.07000000000000005 y[1] (closed_form) 0.9325061524091875 y[1] (numeric) 0.9325061524091878 absolute error 2.220446049250313e-16 relative error 2.381159677621057e-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 0.4951079981063186 Order of pole (three term test) 32.43022844267789 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.08000000000000006 y[1] (closed_form) 0.923283599728208 y[1] (numeric) 0.923283599728208 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 0.49361364168781346 Order of pole (three term test) 32.42034089669288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.09000000000000007 y[1] (closed_form) 0.9141687177899948 y[1] (numeric) 0.9141687177899948 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 0.4919218463940607 Order of pole (three term test) 32.41048521328709 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.10000000000000007 y[1] (closed_form) 0.9051624180751461 y[1] (numeric) 0.905162418075146 absolute error 1.1102230246251565e-16 relative error 1.2265456480021318e-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 0.4900332889206208 Order of pole (three term test) 32.40066533460247 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000008 y[1] (closed_form) 0.8962656012061283 y[1] (numeric) 0.8962656012061281 absolute error 2.220446049250313e-16 relative error 2.4774420063229026e-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 0.48794872466530265 Order of pole (three term test) 32.39088518845956 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000009 y[1] (closed_form) 0.8874791568572145 y[1] (numeric) 0.8874791568572141 absolute error 3.3306690738754696e-16 relative error 3.7529547011224486e-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 0.4856689874260147 Order of pole (three term test) 32.38114868678644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1300000000000001 y[1] (closed_form) 0.8788039636655172 y[1] (numeric) 0.8788039636655168 absolute error 3.3306690738754696e-16 relative error 3.7900023345174177e-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 0.4831949890672565 Order of pole (three term test) 32.37145972405392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1400000000000001 y[1] (closed_form) 0.8702408891431264 y[1] (numeric) 0.870240889143126 absolute error 3.3306690738754696e-16 relative error 3.827295540152082e-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 0.48052771915538545 Order of pole (three term test) 32.36182217571794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1500000000000001 y[1] (closed_form) 0.8617907895903583 y[1] (numeric) 0.8617907895903583 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 0.47766824456280293 Order of pole (three term test) 32.352239896669325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000011 y[1] (closed_form) 0.8534545100101271 y[1] (numeric) 0.8534545100101268 absolute error 2.220446049250313e-16 relative error 2.601715760133443e-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 0.47461770904122047 Order of pole (three term test) 32.34271671969194 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000012 y[1] (closed_form) 0.8452328840234433 y[1] (numeric) 0.8452328840234431 absolute error 2.220446049250313e-16 relative error 2.627022790074891e-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 0.4713773327641731 Order of pole (three term test) 32.33325645392959 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000013 y[1] (closed_form) 0.8371267337860544 y[1] (numeric) 0.8371267337860543 absolute error 1.1102230246251565e-16 relative error 1.326230521397848e-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 0.46794841183896746 Order of pole (three term test) 32.32386288336246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000014 y[1] (closed_form) 0.8291368699062289 y[1] (numeric) 0.8291368699062291 absolute error 2.220446049250313e-16 relative error 2.678021120326532e-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 0.46433231778825507 Order of pole (three term test) 32.31453976529351 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000015 y[1] (closed_form) 0.821264091363697 y[1] (numeric) 0.8212640913636972 absolute error 1.1102230246251565e-16 relative error 1.3518465452223138e-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 0.4605304970014424 Order of pole (three term test) 32.30529082884567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000016 y[1] (closed_form) 0.8135091854297521 y[1] (numeric) 0.8135091854297521 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 0.456544470156154 Order of pole (three term test) 32.29611977347021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000017 y[1] (closed_form) 0.8058729275885251 y[1] (numeric) 0.8058729275885254 absolute error 2.220446049250313e-16 relative error 2.755330242814736e-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 0.4523758316099816 Order of pole (three term test) 32.287030267467 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000018 y[1] (closed_form) 0.7983560814594366 y[1] (numeric) 0.7983560814594368 absolute error 2.220446049250313e-16 relative error 2.781272793953322e-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 0.44802624876276254 Order of pole (three term test) 32.27802594651724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000019 y[1] (closed_form) 0.7909593987208358 y[1] (numeric) 0.7909593987208358 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 0.443497461389642 Order of pole (three term test) 32.26911041222925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25000000000000017 y[1] (closed_form) 0.7836836190348323 y[1] (numeric) 0.7836836190348324 absolute error 1.1102230246251565e-16 relative error 1.4166724908611501e-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 0.4387912809451863 Order of pole (three term test) 32.2602872306979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000002 y[1] (closed_form) 0.7765294699733314 y[1] (numeric) 0.7765294699733317 absolute error 3.3306690738754696e-16 relative error 4.289172790814824e-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 0.433909589838825 Order of pole (three term test) 32.25155993107813 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2700000000000002 y[1] (closed_form) 0.7694976669452782 y[1] (numeric) 0.7694976669452784 absolute error 2.220446049250313e-16 relative error 2.8855786633700306e-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 0.4288543406819119 Order of pole (three term test) 32.24293200417345 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2800000000000002 y[1] (closed_form) 0.7625889131251153 y[1] (numeric) 0.7625889131251153 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 0.423627555506708 Order of pole (three term test) 32.234406901039556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2900000000000002 y[1] (closed_form) 0.7558038993824674 y[1] (numeric) 0.7558038993824673 absolute error 1.1102230246251565e-16 relative error 1.4689300035793262e-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 0.4182313249575934 Order of pole (three term test) 32.22598803160407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3000000000000002 y[1] (closed_form) 0.7491433042130542 y[1] (numeric) 0.7491433042130543 absolute error 1.1102230246251565e-16 relative error 1.481990185831538e-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 0.41266780745483905 Order of pole (three term test) 32.21767876330248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3100000000000002 y[1] (closed_form) 0.7426077936708428 y[1] (numeric) 0.7426077936708431 absolute error 2.220446049250313e-16 relative error 2.990065641883789e-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 0.40693922833126683 Order of pole (three term test) 32.209482419731344 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32000000000000023 y[1] (closed_form) 0.7361980213014411 y[1] (numeric) 0.7361980213014414 absolute error 3.3306690738754696e-16 relative error 4.524148364304969e-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 0.4010478789421463 Order of pole (three term test) 32.201402279318806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33000000000000024 y[1] (closed_form) 0.7299146280767446 y[1] (numeric) 0.7299146280767447 absolute error 1.1102230246251565e-16 relative error 1.5210313397204936e-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 0.39499611574868243 Order of pole (three term test) 32.193441574013285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34000000000000025 y[1] (closed_form) 0.7237582423308393 y[1] (numeric) 0.7237582423308393 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 0.3887863593754637 Order of pole (three term test) 32.18560348799076 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35000000000000026 y[1] (closed_form) 0.7177294796971694 y[1] (numeric) 0.7177294796971696 absolute error 2.220446049250313e-16 relative error 3.093708858367059e-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 0.3824210936422441 Order of pole (three term test) 32.17789115638116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36000000000000026 y[1] (closed_form) 0.711828943046975 y[1] (numeric) 0.711828943046975 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 0.3759028645704473 Order of pole (three term test) 32.17030766401426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000003 y[1] (closed_form) 0.7060572224290034 y[1] (numeric) 0.7060572224290034 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 0.36923427936479375 Order of pole (three term test) 32.16285604418593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000003 y[1] (closed_form) 0.700414895010507 y[1] (numeric) 0.7004148950105068 absolute error 2.220446049250313e-16 relative error 3.170186792239768e-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 0.3624180053704523 Order of pole (three term test) 32.155539277444724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3900000000000003 y[1] (closed_form) 0.6949025250195254 y[1] (numeric) 0.6949025250195252 absolute error 2.220446049250313e-16 relative error 3.195334553127322e-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 0.35545676900613854 Order of pole (three term test) 32.14836029039979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4000000000000003 y[1] (closed_form) 0.6895206636884641 y[1] (numeric) 0.689520663688464 absolute error 1.1102230246251565e-16 relative error 1.6101374231284416e-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 0.3483533546735825 Order of pole (three term test) 32.14132195455024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4100000000000003 y[1] (closed_form) 0.6842698491989718 y[1] (numeric) 0.6842698491989716 absolute error 2.220446049250313e-16 relative error 3.244985953786563e-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 0.3411106036438065 Order of pole (three term test) 32.13442708513656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4200000000000003 y[1] (closed_form) 0.6791506066281214 y[1] (numeric) 0.679150606628121 absolute error 4.440892098500626e-16 relative error 6.538891455238439e-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 0.33373141292065395 Order of pole (three term test) 32.12767844001457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4300000000000003 y[1] (closed_form) 0.6741634478959039 y[1] (numeric) 0.6741634478959037 absolute error 2.220446049250313e-16 relative error 3.293631620314674e-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 0.3262187340820257 Order of pole (three term test) 32.12107871855236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44000000000000034 y[1] (closed_form) 0.6693088717140369 y[1] (numeric) 0.6693088717140366 absolute error 2.220446049250313e-16 relative error 3.3175207188931476e-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 0.31857557209929016 Order of pole (three term test) 32.114630560550516 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45000000000000034 y[1] (closed_form) 0.6645873635360927 y[1] (numeric) 0.6645873635360927 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 0.31080498413533203 Order of pole (three term test) 32.10833654518626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46000000000000035 y[1] (closed_form) 0.6599993955089549 y[1] (numeric) 0.6599993955089548 absolute error 1.1102230246251565e-16 relative error 1.6821576385975537e-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 0.3029100783217311 Order of pole (three term test) 32.10219918998182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47000000000000036 y[1] (closed_form) 0.6555454264256025 y[1] (numeric) 0.6555454264256027 absolute error 1.1102230246251565e-16 relative error 1.693586714011123e-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 0.2948940125155488 Order of pole (three term test) 32.096220949797434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48000000000000037 y[1] (closed_form) 0.6512259016792326 y[1] (numeric) 0.6512259016792328 absolute error 2.220446049250313e-16 relative error 3.4096402546715884e-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 0.28675999303622784 Order of pole (three term test) 32.090404215849496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000004 y[1] (closed_form) 0.6470412532187203 y[1] (numeric) 0.6470412532187204 absolute error 1.1102230246251565e-16 relative error 1.715845812152361e-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 0.27851127338310855 Order of pole (three term test) 32.084751314754016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.6429918995054242 y[1] (numeric) 0.6429918995054242 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 0.27015115293406927 Order of pole (three term test) 32.07926450759605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.6390782454713411 y[1] (numeric) 0.6390782454713412 absolute error 1.1102230246251565e-16 relative error 1.7372255001519113e-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 0.2616829756258247 Order of pole (three term test) 32.07394598902532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.6353006824786132 y[1] (numeric) 0.6353006824786132 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 0.25311012861638893 Order of pole (three term test) 32.06879788637833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.6316595882803919 y[1] (numeric) 0.6316595882803918 absolute error 1.1102230246251565e-16 relative error 1.7576287057520792e-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 0.2444360409302633 Order of pole (three term test) 32.06382225882751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.6281553269830626 y[1] (numeric) 0.6281553269830625 absolute error 1.1102230246251565e-16 relative error 1.767433908357339e-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 0.23566418208686943 Order of pole (three term test) 32.05902109655753 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.6247882490098349 y[1] (numeric) 0.6247882490098349 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 0.22679806071278813 Order of pole (three term test) 32.054396319969285 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.6215586910657004 y[1] (numeric) 0.6215586910657003 absolute error 1.1102230246251565e-16 relative error 1.7861917797683937e-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 0.21784122313835608 Order of pole (three term test) 32.049949778911746 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.6184669761037619 y[1] (numeric) 0.618466976103762 absolute error 1.1102230246251565e-16 relative error 1.7951209482830842e-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 0.20879725197917864 Order of pole (three term test) 32.045683251942066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.6155134132929395 y[1] (numeric) 0.6155134132929396 absolute error 1.1102230246251565e-16 relative error 1.803734899432275e-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 0.1996697647031358 Order of pole (three term test) 32.04159844561411 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.6126982979870527 y[1] (numeric) 0.6126982979870529 absolute error 2.220446049250313e-16 relative error 3.624044748525211e-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 0.19046241218344084 Order of pole (three term test) 32.03769699379599 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.6100219116952861 y[1] (numeric) 0.6100219116952864 absolute error 3.3306690738754696e-16 relative error 5.459917111205642e-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 0.18117887723833695 Order of pole (three term test) 32.03398045701638 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.6074845220540391 y[1] (numeric) 0.6074845220540392 absolute error 1.1102230246251565e-16 relative error 1.8275741756699376e-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 0.17182287315802341 Order of pole (three term test) 32.03045032184047 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.6050863828001609 y[1] (numeric) 0.605086382800161 absolute error 1.1102230246251565e-16 relative error 1.8348174015871464e-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 0.16239814221938806 Order of pole (three term test) 32.027108000275234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.6028277337455786 y[1] (numeric) 0.6028277337455787 absolute error 1.1102230246251565e-16 relative error 1.8416920166014166e-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 0.15290845418914453 Order of pole (three term test) 32.02395482920475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.6007088007533153 y[1] (numeric) 0.6007088007533155 absolute error 1.1102230246251565e-16 relative error 1.8481883788499316e-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 0.1433576048159774 Order of pole (three term test) 32.02099206985538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.5987297957149045 y[1] (numeric) 0.5987297957149047 absolute error 2.220446049250313e-16 relative error 3.7085945365371746e-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 0.1337494143122934 Order of pole (three term test) 32.01822090729141 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.5968909165292012 y[1] (numeric) 0.5968909165292011 absolute error 1.1102230246251565e-16 relative error 1.8600099178604974e-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 0.12408772582618575 Order of pole (three term test) 32.01564244994086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.595192347082591 y[1] (numeric) 0.5951923470825908 absolute error 1.1102230246251565e-16 relative error 1.8653180439349603e-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 0.1143764039042288 Order of pole (three term test) 32.01325772915234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.5936342572306035 y[1] (numeric) 0.5936342572306034 absolute error 1.1102230246251565e-16 relative error 1.8702138751299838e-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 0.10461933294570915 Order of pole (three term test) 32.011067698782334 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.5922168027809254 y[1] (numeric) 0.5922168027809253 absolute error 1.1102230246251565e-16 relative error 1.874690180035053e-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 0.09482041564891651 Order of pole (three term test) 32.00907323481382 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.5909401254778204 y[1] (numeric) 0.5909401254778202 absolute error 2.220446049250313e-16 relative error 3.7574805864721276e-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 0.08498357145011994 Order of pole (three term test) 32.00727513500577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.589804352987955 y[1] (numeric) 0.5898043529879546 absolute error 3.3306690738754696e-16 relative error 5.647074418834424e-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 0.0751127349558426 Order of pole (three term test) 32.00567411857415 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.5888095988876318 y[1] (numeric) 0.5888095988876314 absolute error 4.440892098500626e-16 relative error 7.542153026870277e-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 0.0652118543690725 Order of pole (three term test) 32.00427082590416 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.5879559626514319 y[1] (numeric) 0.5879559626514315 absolute error 4.440892098500626e-16 relative error 7.553103260445029e-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 0.055284889910034433 Order of pole (three term test) 32.003065818294175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.5872435296422669 y[1] (numeric) 0.587243529642267 absolute error 1.1102230246251565e-16 relative error 1.8905666364710307e-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 0.045335812232154285 Order of pole (three term test) 32.002059577731174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.5866723711028449 y[1] (numeric) 0.586672371102845 absolute error 1.1102230246251565e-16 relative error 1.8924072093903536e-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 0.035368600833850836 Order of pole (three term test) 32.00125250669797 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.5862425441485434 y[1] (numeric) 0.5862425441485435 absolute error 1.1102230246251565e-16 relative error 1.8937947027328776e-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 0.02538724246678877 Order of pole (three term test) 32.000644928012214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.5859540917616999 y[1] (numeric) 0.5859540917617 absolute error 1.1102230246251565e-16 relative error 1.8947269764551286e-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 0.015395729541232505 Order of pole (three term test) 32.00023708469726 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 TOP MAIN SOLVE Loop x[1] 0.7804034706280868 y[1] (closed_form) 0.5858040777518915 y[1] (numeric) 0.5858040777518915 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.0005549532025135187 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004994609701522455 Order of pole (three term test) 32.00002494674841 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 TOP MAIN SOLVE Loop x[1] 0.7901003520339157 y[1] (closed_form) 0.5858020721377182 y[1] (numeric) 0.5858020721377183 absolute error 1.1102230246251565e-16 relative error 1.8952186709987438e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000272027631793 y[1] (closed_form) 0.5859377619967442 y[1] (numeric) 0.5859377619967443 absolute error 1.1102230246251565e-16 relative error 1.8947797814596656e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8101282087683949 y[1] (closed_form) 0.5862188645193318 y[1] (numeric) 0.5862188645193314 absolute error 4.440892098500626e-16 relative error 7.575484801469023e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200550594976584 y[1] (closed_form) 0.586635658892969 y[1] (numeric) 0.5866356588929685 absolute error 4.440892098500626e-16 relative error 7.570102552035389e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.830156065502874 y[1] (closed_form) 0.5872027268298529 y[1] (numeric) 0.5872027268298521 absolute error 7.771561172376096e-16 relative error 1.3234886040690977e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400829162321376 y[1] (closed_form) 0.5879004585411954 y[1] (numeric) 0.5879004585411947 absolute error 7.771561172376096e-16 relative error 1.3219178620238355e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500097669614012 y[1] (closed_form) 0.588737340738845 y[1] (numeric) 0.5887373407388441 absolute error 8.881784197001252e-16 relative error 1.5086157412497261e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8601107729666168 y[1] (closed_form) 0.5897316536282137 y[1] (numeric) 0.5897316536282126 absolute error 1.1102230246251565e-15 relative error 1.8825901879180424e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700376236958803 y[1] (closed_form) 0.5908490128534227 y[1] (numeric) 0.5908490128534215 absolute error 1.2212453270876722e-15 relative error 2.066933007452849e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8801386297010959 y[1] (closed_form) 0.5921285096586746 y[1] (numeric) 0.5921285096586729 absolute error 1.6653345369377348e-15 relative error 2.8124545766217153e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900654804303595 y[1] (closed_form) 0.593525897736828 y[1] (numeric) 0.5935258977368258 absolute error 2.1094237467877974e-15 relative error 3.554055104977282e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8999923311596231 y[1] (closed_form) 0.5950618819617556 y[1] (numeric) 0.595061881961753 absolute error 2.55351295663786e-15 relative error 4.2911721184688037e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100933371648386 y[1] (closed_form) 0.5967669216861502 y[1] (numeric) 0.5967669216861476 absolute error 2.55351295663786e-15 relative error 4.2789116887091733e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200201878941022 y[1] (closed_form) 0.5985820548938319 y[1] (numeric) 0.598582054893829 absolute error 2.886579864025407e-15 relative error 4.822362849713876e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9301211938993178 y[1] (closed_form) 0.6005707847213753 y[1] (numeric) 0.6005707847213717 absolute error 3.552713678800501e-15 relative error 5.915561944040822e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400480446285814 y[1] (closed_form) 0.6026643388589085 y[1] (numeric) 0.6026643388589048 absolute error 3.6637359812630166e-15 relative error 6.07923141462124e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.950149050633797 y[1] (closed_form) 0.6049359611068095 y[1] (numeric) 0.6049359611068053 absolute error 4.218847493575595e-15 relative error 6.974039840277741e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600759013630605 y[1] (closed_form) 0.6073070964462011 y[1] (numeric) 0.6073070964461963 absolute error 4.773959005888173e-15 relative error 7.860864847165636e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700027520923241 y[1] (closed_form) 0.6098154699115996 y[1] (numeric) 0.6098154699115946 absolute error 4.9960036108132044e-15 relative error 8.19264819821222e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9801037580975397 y[1] (closed_form) 0.6125084654380374 y[1] (numeric) 0.612508465438032 absolute error 5.440092820663267e-15 relative error 8.881661442463114e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900306088268033 y[1] (closed_form) 0.6152929564880317 y[1] (numeric) 0.615292956488026 absolute error 5.773159728050814e-15 relative error 9.382782083193097e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0001316148320187 y[1] (closed_form) 0.6182663595567964 y[1] (numeric) 0.6182663595567904 absolute error 5.995204332975845e-15 relative error 9.696798540476147e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100584655612823 y[1] (closed_form) 0.6213258513274657 y[1] (numeric) 0.6213258513274593 absolute error 6.328271240363392e-15 relative error 1.0185108549472085e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.019985316290546 y[1] (closed_form) 0.6245211997942202 y[1] (numeric) 0.6245211997942135 absolute error 6.661338147750939e-15 relative error 1.0666312288431284e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300863222957615 y[1] (closed_form) 0.6279117346259009 y[1] (numeric) 0.6279117346258942 absolute error 6.661338147750939e-15 relative error 1.060871740471557e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.040013173025025 y[1] (closed_form) 0.6313802076629814 y[1] (numeric) 0.6313802076629739 absolute error 7.549516567451064e-15 relative error 1.1957163806884569e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0501141790302406 y[1] (closed_form) 0.6350479647747602 y[1] (numeric) 0.6350479647747523 absolute error 7.882583474838611e-15 relative error 1.241257969803024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600410297595042 y[1] (closed_form) 0.6387881711719506 y[1] (numeric) 0.6387881711719428 absolute error 7.882583474838611e-15 relative error 1.2339902068594752e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0701420357647198 y[1] (closed_form) 0.6427316794204434 y[1] (numeric) 0.6427316794204349 absolute error 8.548717289613705e-15 relative error 1.3300600489028573e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800688864939834 y[1] (closed_form) 0.6467421189748325 y[1] (numeric) 0.6467421189748234 absolute error 9.103828801926284e-15 relative error 1.4076443353275021e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.089995737223247 y[1] (closed_form) 0.6508859106667405 y[1] (numeric) 0.650885910666731 absolute error 9.547918011776346e-15 relative error 1.4669111522165008e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000967432284625 y[1] (closed_form) 0.6552388607301359 y[1] (numeric) 0.6552388607301255 absolute error 1.0436096431476471e-14 relative error 1.59271634466971e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.110023593957726 y[1] (closed_form) 0.6596504397032138 y[1] (numeric) 0.6596504397032027 absolute error 1.1102230246251565e-14 relative error 1.683047501832428e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1201245999629417 y[1] (closed_form) 0.6642749883808269 y[1] (numeric) 0.6642749883808159 absolute error 1.099120794378905e-14 relative error 1.6546171594658662e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300514506922053 y[1] (closed_form) 0.6689525851435235 y[1] (numeric) 0.6689525851435117 absolute error 1.176836406102666e-14 relative error 1.7592224504972592e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1401524566974208 y[1] (closed_form) 0.6738468775213061 y[1] (numeric) 0.6738468775212938 absolute error 1.2323475573339238e-14 relative error 1.8288243196540726e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500793074266844 y[1] (closed_form) 0.6787886158818989 y[1] (numeric) 0.6787886158818864 absolute error 1.2434497875801753e-14 relative error 1.831866001412906e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.160006158155948 y[1] (closed_form) 0.6838605484683349 y[1] (numeric) 0.6838605484683221 absolute error 1.27675647831893e-14 relative error 1.8669836725901554e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1701071641611636 y[1] (closed_form) 0.689154586670301 y[1] (numeric) 0.6891545866702873 absolute error 1.3766765505351941e-14 relative error 1.9976309773786802e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800340148904271 y[1] (closed_form) 0.6944876572363907 y[1] (numeric) 0.6944876572363763 absolute error 1.4432899320127035e-14 relative error 2.0782081826422357e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1901350208956427 y[1] (closed_form) 0.70004633970087 y[1] (numeric) 0.7000463397008556 absolute error 1.4432899320127035e-14 relative error 2.0617062759437064e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000618716249063 y[1] (closed_form) 0.7056384091432746 y[1] (numeric) 0.7056384091432598 absolute error 1.4765966227514582e-14 relative error 2.092568380091745e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2099887223541699 y[1] (closed_form) 0.7113580269911113 y[1] (numeric) 0.7113580269910961 absolute error 1.5210055437364645e-14 relative error 2.13817161826371e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200897283593855 y[1] (closed_form) 0.7173083316041343 y[1] (numeric) 0.7173083316041184 absolute error 1.587618925213974e-14 relative error 2.2133005504948513e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.230016579088649 y[1] (closed_form) 0.7232835553677539 y[1] (numeric) 0.7232835553677376 absolute error 1.63202784619898e-14 relative error 2.2564149759621933e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2401175850938646 y[1] (closed_form) 0.7294927437939578 y[1] (numeric) 0.7294927437939408 absolute error 1.6986412276764895e-14 relative error 2.328523816209834e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500444358231282 y[1] (closed_form) 0.7357211768013231 y[1] (numeric) 0.7357211768013052 absolute error 1.787459069646502e-14 relative error 2.4295332607086207e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2601454418283438 y[1] (closed_form) 0.7421867585250604 y[1] (numeric) 0.742186758525042 absolute error 1.84297022087776e-14 relative error 2.483162357329406e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2700722925576073 y[1] (closed_form) 0.7486659025414911 y[1] (numeric) 0.748665902541472 absolute error 1.9095836023552692e-14 relative error 2.5506485548130597e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.279999143286871 y[1] (closed_form) 0.7552683549671954 y[1] (numeric) 0.7552683549671754 absolute error 1.9984014443252818e-14 relative error 2.64594886199367e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2901001492920865 y[1] (closed_form) 0.7621125404375632 y[1] (numeric) 0.7621125404375427 absolute error 2.042810365310288e-14 relative error 2.6804576186837425e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.30002700002135 y[1] (closed_form) 0.7689617800244326 y[1] (numeric) 0.7689617800244108 absolute error 2.1760371282653068e-14 relative error 2.8298378213234035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3101280060265657 y[1] (closed_form) 0.7760556970210567 y[1] (numeric) 0.7760556970210343 absolute error 2.2426505097428162e-14 relative error 2.8898061290592733e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3200548567558292 y[1] (closed_form) 0.7831489765278755 y[1] (numeric) 0.783148976527852 absolute error 2.353672812205332e-14 relative error 3.005396013719434e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3301558627610448 y[1] (closed_form) 0.7904897796690298 y[1] (numeric) 0.7904897796690057 absolute error 2.4091839634365897e-14 relative error 3.0477104516712296e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3400827134903084 y[1] (closed_form) 0.7978242539697704 y[1] (numeric) 0.7978242539697457 absolute error 2.475797344914099e-14 relative error 3.1031863629053162e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350009564219572 y[1] (closed_form) 0.8052771925393354 y[1] (numeric) 0.8052771925393096 absolute error 2.5757174171303632e-14 relative error 3.198547582116635e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3601105702247875 y[1] (closed_form) 0.812981726072301 y[1] (numeric) 0.8129817260722744 absolute error 2.6645352591003757e-14 relative error 3.2774848113417624e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3700374209540511 y[1] (closed_form) 0.8206714239252447 y[1] (numeric) 0.8206714239252173 absolute error 2.7422508708241367e-14 relative error 3.3414723491991963e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3801384269592667 y[1] (closed_form) 0.828615313148582 y[1] (numeric) 0.828615313148554 absolute error 2.7977620220553945e-14 relative error 3.3764305072089803e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3900652776885303 y[1] (closed_form) 0.8365386859345016 y[1] (numeric) 0.8365386859344728 absolute error 2.886579864025407e-14 relative error 3.4506232796643398e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999921284177939 y[1] (closed_form) 0.844576708008873 y[1] (numeric) 0.8445767080088431 absolute error 2.986499936241671e-14 relative error 3.536090810842365e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4100931344230094 y[1] (closed_form) 0.8528726141823271 y[1] (numeric) 0.8528726141822961 absolute error 3.097522238704187e-14 relative error 3.6318697390393623e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420019985152273 y[1] (closed_form) 0.8611395235411649 y[1] (numeric) 0.8611395235411328 absolute error 3.2085445411667024e-14 relative error 3.7259287879071835e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4301209911574886 y[1] (closed_form) 0.8696666571033494 y[1] (numeric) 0.8696666571033168 absolute error 3.26405569239796e-14 relative error 3.753226211143641e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4400478418867522 y[1] (closed_form) 0.8781591378757706 y[1] (numeric) 0.8781591378757367 absolute error 3.3861802251067274e-14 relative error 3.855998393750992e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4501488478919677 y[1] (closed_form) 0.8869140785794483 y[1] (numeric) 0.8869140785794132 absolute error 3.5083047578154947e-14 relative error 3.955630925866769e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4600756986212313 y[1] (closed_form) 0.8956287244175059 y[1] (numeric) 0.8956287244174701 absolute error 3.574918139293004e-14 relative error 3.991517960322276e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470002549350495 y[1] (closed_form) 0.9044521967196678 y[1] (numeric) 0.9044521967196311 absolute error 3.674838211509268e-14 relative error 4.063054105941072e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4801035553557105 y[1] (closed_form) 0.9135412760865976 y[1] (numeric) 0.9135412760865592 absolute error 3.8413716652030416e-14 relative error 4.204924031083304e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490030406084974 y[1] (closed_form) 0.9225816528649611 y[1] (numeric) 0.9225816528649214 absolute error 3.963496197911809e-14 relative error 4.296092584980062e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5001314120901896 y[1] (closed_form) 0.9318896081292343 y[1] (numeric) 0.9318896081291936 absolute error 4.063416270128073e-14 relative error 4.360405175335488e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100582628194532 y[1] (closed_form) 0.9411432632738673 y[1] (numeric) 0.9411432632738257 absolute error 4.163336342344337e-14 relative error 4.423700944170526e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5199851135487168 y[1] (closed_form) 0.9505012598091166 y[1] (numeric) 0.9505012598090737 absolute error 4.285460875053104e-14 relative error 4.5086325039839795e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300861195539324 y[1] (closed_form) 0.9601295828540517 y[1] (numeric) 0.9601295828540083 absolute error 4.340972026284362e-14 relative error 4.521235574661206e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.540012970283196 y[1] (closed_form) 0.9696952751578589 y[1] (numeric) 0.9696952751578144 absolute error 4.451994328746878e-14 relative error 4.591127174484919e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5501139762884115 y[1] (closed_form) 0.9795329961616354 y[1] (numeric) 0.9795329961615897 absolute error 4.5630166312093934e-14 relative error 4.658359288650688e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.560040827017675 y[1] (closed_form) 0.9893025474191507 y[1] (numeric) 0.9893025474191036 absolute error 4.707345624410664e-14 relative error 4.7582467433152594e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5701418330228907 y[1] (closed_form) 0.9993457204557619 y[1] (numeric) 0.9993457204557133 absolute error 4.851674617611934e-14 relative error 4.854851047342533e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800686837521543 y[1] (closed_form) 1.0093152120839757 y[1] (numeric) 1.0093152120839262 absolute error 4.951594689828198e-14 relative error 4.905895235250078e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899955344814178 y[1] (closed_form) 1.019382327332882 y[1] (numeric) 1.0193823273328306 absolute error 5.129230373768223e-14 relative error 5.031704235238581e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000965404866334 y[1] (closed_form) 1.0297252420397602 y[1] (numeric) 1.0297252420397083 absolute error 5.1958437552457326e-14 relative error 5.045854508677867e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.610023391215897 y[1] (closed_form) 1.039986287643831 y[1] (numeric) 1.0399862876437782 absolute error 5.284661597215745e-14 relative error 5.081472380937399e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6201243972211126 y[1] (closed_form) 1.050524450790062 y[1] (numeric) 1.0505244507900082 absolute error 5.3734794391857577e-14 relative error 5.115044619041999e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300512479503761 y[1] (closed_form) 1.0609753110271007 y[1] (numeric) 1.0609753110270457 absolute error 5.5067062021407764e-14 relative error 5.190230295566338e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6401522539555917 y[1] (closed_form) 1.0717044957381865 y[1] (numeric) 1.0717044957381312 absolute error 5.5289106626332796e-14 relative error 5.158988027595223e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500791046848553 y[1] (closed_form) 1.0823409787510354 y[1] (numeric) 1.0823409787509795 absolute error 5.595524044110789e-14 relative error 5.169834787709627e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600059554141189 y[1] (closed_form) 1.0930678893118877 y[1] (numeric) 1.0930678893118306 absolute error 5.706546346573305e-14 relative error 5.220669642180882e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6701069614193345 y[1] (closed_form) 1.1040747210113193 y[1] (numeric) 1.1040747210112618 absolute error 5.750955267558311e-14 relative error 5.20884606640618e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.680033812148598 y[1] (closed_form) 1.114980846360441 y[1] (numeric) 1.114980846360382 absolute error 5.88418203051333e-14 relative error 5.277383956612959e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6901348181538136 y[1] (closed_form) 1.1261678203683367 y[1] (numeric) 1.1261678203682766 absolute error 6.017408793468348e-14 relative error 5.343261177095461e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000616688830772 y[1] (closed_form) 1.1372487860409886 y[1] (numeric) 1.1372487860409275 absolute error 6.106226635438361e-14 relative error 5.369297123363367e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7099885196123408 y[1] (closed_form) 1.1484147685608663 y[1] (numeric) 1.1484147685608035 absolute error 6.283862319378386e-14 relative error 5.4717707324967575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200895256175563 y[1] (closed_form) 1.1598627766464542 y[1] (numeric) 1.159862776646391 absolute error 6.328271240363392e-14 relative error 5.456051670750665e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.73001637634682 y[1] (closed_form) 1.1711969264785569 y[1] (numeric) 1.1711969264784927 absolute error 6.417089082333405e-14 relative error 5.479086340866429e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7401173823520355 y[1] (closed_form) 1.1828137476681693 y[1] (numeric) 1.1828137476681044 absolute error 6.483702463810914e-14 relative error 5.4815920736405536e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.750044233081299 y[1] (closed_form) 1.194311518666436 y[1] (numeric) 1.1943115186663704 absolute error 6.550315845288424e-14 relative error 5.4845957213930945e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7601452390865147 y[1] (closed_form) 1.2060924934340678 y[1] (numeric) 1.2060924934340012 absolute error 6.661338147750939e-14 relative error 5.523074046157379e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700720898157782 y[1] (closed_form) 1.2177492738237208 y[1] (numeric) 1.217749273823653 absolute error 6.772360450213455e-14 relative error 5.561375067749628e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7799989405450418 y[1] (closed_form) 1.2294831384172595 y[1] (numeric) 1.22948313841719 absolute error 6.94999613415348e-14 relative error 5.652778730337336e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900999465502574 y[1] (closed_form) 1.2415007910284315 y[1] (numeric) 1.2415007910283615 absolute error 6.994405055138486e-14 relative error 5.633830526474717e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.800026797279521 y[1] (closed_form) 1.2533866489481837 y[1] (numeric) 1.253386648948112 absolute error 7.172040739078511e-14 relative error 5.722129516137052e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8101278032847365 y[1] (closed_form) 1.2655565435081177 y[1] (numeric) 1.2655565435080451 absolute error 7.260858581048524e-14 relative error 5.737285005789985e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200546540140001 y[1] (closed_form) 1.2775896273170049 y[1] (numeric) 1.277589627316932 absolute error 7.283063041541027e-14 relative error 5.700627874410489e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8301556600192157 y[1] (closed_form) 1.2899068824610618 y[1] (numeric) 1.289906882460988 absolute error 7.37188088351104e-14 relative error 5.715048879688083e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400825107484793 y[1] (closed_form) 1.302082365669461 y[1] (numeric) 1.3020823656693858 absolute error 7.505107646466058e-14 relative error 5.763926956039632e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500093614777429 y[1] (closed_form) 1.3143266227676378 y[1] (numeric) 1.314326622767562 absolute error 7.571721027943568e-14 relative error 5.760912772199233e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8601103674829584 y[1] (closed_form) 1.3268550399280843 y[1] (numeric) 1.326855039928008 absolute error 7.638334409421077e-14 relative error 5.756721103335505e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.870037218212222 y[1] (closed_form) 1.339234371681645 y[1] (numeric) 1.3392343716815671 absolute error 7.793765632868599e-14 relative error 5.819568103738369e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8801382242174376 y[1] (closed_form) 1.351897713732658 y[1] (numeric) 1.3518977137325787 absolute error 7.926992395823618e-14 relative error 5.863603670085949e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900650749467012 y[1] (closed_form) 1.3644071547713614 y[1] (numeric) 1.3644071547712813 absolute error 8.01581023779363e-14 relative error 5.874940049795376e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8999919256759648 y[1] (closed_form) 1.376979228118135 y[1] (numeric) 1.3769792281180542 absolute error 8.08242361927114e-14 relative error 5.869677228404584e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100929316811803 y[1] (closed_form) 1.389834875192262 y[1] (numeric) 1.38983487519218 absolute error 8.193445921733655e-14 relative error 5.895265738385087e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.920019782410444 y[1] (closed_form) 1.4025295345797493 y[1] (numeric) 1.4025295345796656 absolute error 8.37108160567368e-14 relative error 5.9685599477817566e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9301207884156595 y[1] (closed_form) 1.4155073338440407 y[1] (numeric) 1.4155073338439557 absolute error 8.504308368628699e-14 relative error 6.007957829179072e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.940047639144923 y[1] (closed_form) 1.4283194874235705 y[1] (numeric) 1.428319487423484 absolute error 8.659739592076221e-14 relative error 6.062886957943017e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9501486451501386 y[1] (closed_form) 1.441414233461487 y[1] (numeric) 1.4414142334613982 absolute error 8.881784197001252e-14 relative error 6.161854094968991e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600754958794022 y[1] (closed_form) 1.454338742257275 y[1] (numeric) 1.4543387422571843 absolute error 9.08162434143378e-14 relative error 6.244504170560853e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700023466086658 y[1] (closed_form) 1.4673170213625522 y[1] (numeric) 1.46731702136246 absolute error 9.214851104388799e-14 relative error 6.2800682948746e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9801033526138814 y[1] (closed_form) 1.4805768627151341 y[1] (numeric) 1.4805768627150409 absolute error 9.325873406851315e-14 relative error 6.298810714729933e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.990030203343145 y[1] (closed_form) 1.493659727449803 y[1] (numeric) 1.493659727449708 absolute error 9.481304630298837e-14 relative error 6.347700521113148e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0001312093483605 y[1] (closed_form) 1.5070233246440607 y[1] (numeric) 1.5070233246439653 absolute error 9.547918011776346e-14 relative error 6.335613958749736e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010058060077624 y[1] (closed_form) 1.5202055274496487 y[1] (numeric) 1.520205527449552 absolute error 9.658940314238862e-14 relative error 6.353706877018825e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0199849108068877 y[1] (closed_form) 1.5334350099492116 y[1] (numeric) 1.5334350099491136 absolute error 9.792167077193881e-14 relative error 6.385772473994972e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300859168121033 y[1] (closed_form) 1.5469437737982341 y[1] (numeric) 1.5469437737981337 absolute error 1.0036416142611415e-13 relative error 6.487899762490303e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.040012767541367 y[1] (closed_form) 1.5602646721371762 y[1] (numeric) 1.5602646721370748 absolute error 1.0147438445073931e-13 relative error 6.503664811672274e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0501137735465824 y[1] (closed_form) 1.573863741741156 y[1] (numeric) 1.5738637417410533 absolute error 1.028066520802895e-13 relative error 6.532118972799711e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.060040624275846 y[1] (closed_form) 1.587270712885338 y[1] (numeric) 1.5872707128852337 absolute error 1.0436096431476471e-13 relative error 6.574868638825795e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0701416302810616 y[1] (closed_form) 1.600954633635185 y[1] (numeric) 1.6009546336350793 absolute error 1.056932319443149e-13 relative error 6.601888006303092e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.080068481010325 y[1] (closed_form) 1.6144423000265218 y[1] (numeric) 1.6144423000264152 absolute error 1.0658141036401503e-13 relative error 6.601747882984987e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899953317395887 y[1] (closed_form) 1.6279679598736143 y[1] (numeric) 1.627967959873506 absolute error 1.0835776720341528e-13 relative error 6.6560135011396364e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1000963377448043 y[1] (closed_form) 1.641768534992625 y[1] (numeric) 1.6417685349925157 absolute error 1.092459456231154e-13 relative error 6.65416246533231e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.110023188474068 y[1] (closed_form) 1.655366787392075 y[1] (numeric) 1.6553667873919646 absolute error 1.1035616864774056e-13 relative error 6.666568973610959e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1201241944792835 y[1] (closed_form) 1.6692384571860481 y[1] (numeric) 1.6692384571859362 absolute error 1.1191048088221578e-13 relative error 6.7042836450623774e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.130051045208547 y[1] (closed_form) 1.682903847856547 y[1] (numeric) 1.6829038478564338 absolute error 1.1324274851176597e-13 relative error 6.729008829351666e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1401520512137626 y[1] (closed_form) 1.6968410483760086 y[1] (numeric) 1.6968410483758936 absolute error 1.1501910535116622e-13 relative error 6.7784254430459035e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.150078901943026 y[1] (closed_form) 1.7105680961069785 y[1] (numeric) 1.7105680961068621 absolute error 1.163513729807164e-13 relative error 6.801914126980176e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.16000575267229 y[1] (closed_form) 1.7243236649081681 y[1] (numeric) 1.7243236649080493 absolute error 1.1879386363489175e-13 relative error 6.889301936317061e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1701067586775054 y[1] (closed_form) 1.738348435968088 y[1] (numeric) 1.7383484359679686 absolute error 1.1945999744966684e-13 relative error 6.872039861395189e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.180033609406769 y[1] (closed_form) 1.7521574183705 y[1] (numeric) 1.7521574183703785 absolute error 1.2145839889399213e-13 relative error 6.931934175580411e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1901346154119845 y[1] (closed_form) 1.7662337247000592 y[1] (numeric) 1.7662337246999373 absolute error 1.219024881038422e-13 relative error 6.901832209355169e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.200061466141248 y[1] (closed_form) 1.7800905818982355 y[1] (numeric) 1.7800905818981125 absolute error 1.2301271112846734e-13 relative error 6.910474802764827e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2099883168705117 y[1] (closed_form) 1.7939691093126922 y[1] (numeric) 1.7939691093125674 absolute error 1.247890679678676e-13 relative error 6.956032147937985e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2200893228757272 y[1] (closed_form) 1.8081119514537356 y[1] (numeric) 1.80811195145361 absolute error 1.2567724638756772e-13 relative error 6.950744741580977e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.230016173604991 y[1] (closed_form) 1.8220300343864775 y[1] (numeric) 1.8220300343863511 absolute error 1.2634338020234281e-13 relative error 6.934209525524411e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2401171796102064 y[1] (closed_form) 1.8362102876197792 y[1] (numeric) 1.8362102876196513 absolute error 1.2789769243681803e-13 relative error 6.965307475899601e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.25004403033947 y[1] (closed_form) 1.8501623435049468 y[1] (numeric) 1.8501623435048182 absolute error 1.2856382625159313e-13 relative error 6.948786235052319e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2601450363446856 y[1] (closed_form) 1.8643743201077099 y[1] (numeric) 1.8643743201075798 absolute error 1.3011813848606835e-13 relative error 6.9791853000073004e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.270071887073949 y[1] (closed_form) 1.8783547527528377 y[1] (numeric) 1.8783547527527078 absolute error 1.2989609388114332e-13 relative error 6.91541859655494e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799987378032127 y[1] (closed_form) 1.8923471725099323 y[1] (numeric) 1.8923471725098007 absolute error 1.3167245072054357e-13 relative error 6.958155069711578e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2900997438084283 y[1] (closed_form) 1.9065959541086284 y[1] (numeric) 1.906595954108495 absolute error 1.3344880755994382e-13 relative error 6.999322917494273e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.300026594537692 y[1] (closed_form) 1.9206083601193218 y[1] (numeric) 1.920608360119187 absolute error 1.34781075189494e-13 relative error 7.01762410224646e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3101276005429074 y[1] (closed_form) 1.9348746199802012 y[1] (numeric) 1.9348746199800646 absolute error 1.3655743202889425e-13 relative error 7.0576889385365754e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.320054451272171 y[1] (closed_form) 1.9489013918454936 y[1] (numeric) 1.9489013918453553 absolute error 1.383337888682945e-13 relative error 7.098039410670267e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3301554572773866 y[1] (closed_form) 1.963179407748361 y[1] (numeric) 1.9631794077482214 absolute error 1.396660564978447e-13 relative error 7.114278804402934e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.34008230800665 y[1] (closed_form) 1.977214919307085 y[1] (numeric) 1.9772149193069437 absolute error 1.412203687323199e-13 relative error 7.14238838445598e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500091587359138 y[1] (closed_form) 1.991252676143118 y[1] (numeric) 1.991252676142975 absolute error 1.4299672557172016e-13 relative error 7.181244614756391e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3601101647411293 y[1] (closed_form) 2.005537585901859 y[1] (numeric) 2.005537585901713 absolute error 1.461053500406706e-13 relative error 7.285096577981575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.370037015470393 y[1] (closed_form) 2.019575661805008 y[1] (numeric) 2.0195756618048604 absolute error 1.474376176702208e-13 relative error 7.30042555268504e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3801380214756085 y[1] (closed_form) 2.0338580313618584 y[1] (numeric) 2.033858031361708 absolute error 1.5054624213917123e-13 relative error 7.402003474075642e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.390064872204872 y[1] (closed_form) 2.0478907956368877 y[1] (numeric) 2.0478907956367363 absolute error 1.5143442055887135e-13 relative error 7.394653117319945e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3999917229341357 y[1] (closed_form) 2.0619188406783873 y[1] (numeric) 2.0619188406782327 absolute error 1.545430450278218e-13 relative error 7.495108050759938e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4100927289393512 y[1] (closed_form) 2.076186720392202 y[1] (numeric) 2.076186720392047 absolute error 1.5498713423767185e-13 relative error 7.464990153120428e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.420019579668615 y[1] (closed_form) 2.0902010369163895 y[1] (numeric) 2.0902010369162345 absolute error 1.5498713423767185e-13 relative error 7.414939113527553e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4301205856738304 y[1] (closed_form) 2.1044520865291902 y[1] (numeric) 2.1044520865290335 absolute error 1.567634910770721e-13 relative error 7.449135671965687e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.440047436403094 y[1] (closed_form) 2.118447053370755 y[1] (numeric) 2.1184470533705975 absolute error 1.5765166949677223e-13 relative error 7.441850823976254e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4501484424083095 y[1] (closed_form) 2.1326755567632016 y[1] (numeric) 2.1326755567630418 absolute error 1.5987211554602254e-13 relative error 7.496316776315625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.460075293137573 y[1] (closed_form) 2.1466455605180226 y[1] (numeric) 2.1466455605178605 absolute error 1.6209256159527285e-13 relative error 7.550969968053652e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4700021438668367 y[1] (closed_form) 2.1606011135911025 y[1] (numeric) 2.160601113590938 absolute error 1.6431300764452317e-13 relative error 7.604967275584756e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4801031498720523 y[1] (closed_form) 2.174785247890793 y[1] (numeric) 2.174785247890627 absolute error 1.6608936448392342e-13 relative error 7.637046675988102e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.490030000601316 y[1] (closed_form) 2.1887074615571596 y[1] (numeric) 2.188707461556992 absolute error 1.674216321134736e-13 relative error 7.649338025026023e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5001310066065314 y[1] (closed_form) 2.2028548286143748 y[1] (numeric) 2.2028548286142042 absolute error 1.7053025658242404e-13 relative error 7.74132976750401e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510057857335795 y[1] (closed_form) 2.2167381186513233 y[1] (numeric) 2.2167381186511523 absolute error 1.709743457922741e-13 relative error 7.712879764809381e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199847080650586 y[1] (closed_form) 2.2306000509767756 y[1] (numeric) 2.2306000509766024 absolute error 1.7319479184152442e-13 relative error 7.764493314957235e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530085714070274 y[1] (closed_form) 2.244681841731127 y[1] (numeric) 2.2446818417309538 absolute error 1.7319479184152442e-13 relative error 7.715783529836658e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5400125647995377 y[1] (closed_form) 2.258496528198832 y[1] (numeric) 2.2584965281986573 absolute error 1.745270594710746e-13 relative error 7.727577053672129e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5501135708047533 y[1] (closed_form) 2.272527422523476 y[1] (numeric) 2.2725274225232996 absolute error 1.7630341631047486e-13 relative error 7.758032513187575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.560040421534017 y[1] (closed_form) 2.286289322040067 y[1] (numeric) 2.286289322039888 absolute error 1.7896795156957523e-13 relative error 7.827878556064866e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5701414275392325 y[1] (closed_form) 2.3002636921203106 y[1] (numeric) 2.3002636921201294 absolute error 1.8118839761882555e-13 relative error 7.87685334683572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.580068278268496 y[1] (closed_form) 2.313967284765352 y[1] (numeric) 2.3139672847651718 absolute error 1.8030021919912542e-13 relative error 7.791822312535796e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899951289977596 y[1] (closed_form) 2.3276399385855617 y[1] (numeric) 2.3276399385853783 absolute error 1.8340884366807586e-13 relative error 7.879605459061165e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.600096135002975 y[1] (closed_form) 2.3415193146985076 y[1] (numeric) 2.3415193146983224 absolute error 1.851852005074761e-13 relative error 7.908762457990676e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.610022985732239 y[1] (closed_form) 2.3551254500938077 y[1] (numeric) 2.3551254500936216 absolute error 1.8607337892717624e-13 relative error 7.900784177750052e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6201239917374544 y[1] (closed_form) 2.368934360675203 y[1] (numeric) 2.3689343606750155 absolute error 1.8740564655672642e-13 relative error 7.91096830995821e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.630050842466718 y[1] (closed_form) 2.382468520202404 y[1] (numeric) 2.3824685202022162 absolute error 1.8784973576657649e-13 relative error 7.884668115179024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6401518484719335 y[1] (closed_form) 2.396201426475597 y[1] (numeric) 2.3962014264754075 absolute error 1.8962609260597674e-13 relative error 7.913612374602595e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.650078699201197 y[1] (closed_form) 2.4096581815611464 y[1] (numeric) 2.4096581815609572 absolute error 1.8918200339612667e-13 relative error 7.85098919190112e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6600055499304607 y[1] (closed_form) 2.42307456829198 y[1] (numeric) 2.4230745682917885 absolute error 1.91402449445377e-13 relative error 7.899156383796153e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6701065559356763 y[1] (closed_form) 2.436683528352334 y[1] (numeric) 2.4366835283521415 absolute error 1.9229062786507711e-13 relative error 7.891489626275042e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.68003340666494 y[1] (closed_form) 2.4500144499952823 y[1] (numeric) 2.4500144499950887 absolute error 1.936228954946273e-13 relative error 7.902928715175543e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6901344126701554 y[1] (closed_form) 2.4635337206651053 y[1] (numeric) 2.4635337206649113 absolute error 1.9406698470447736e-13 relative error 7.877585887157377e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.700061263399419 y[1] (closed_form) 2.476773830165665 y[1] (numeric) 2.476773830165468 absolute error 1.971756091734278e-13 relative error 7.96098564882847e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7099881141286826 y[1] (closed_form) 2.48996695763105 y[1] (numeric) 2.4899669576308514 absolute error 1.98507876802978e-13 relative error 7.972309680440017e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.720089120133898 y[1] (closed_form) 2.5033419755719164 y[1] (numeric) 2.5033419755717157 absolute error 2.007283228522283e-13 relative error 8.018413976634961e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300159708631617 y[1] (closed_form) 2.5164363621989136 y[1] (numeric) 2.5164363621987116 absolute error 2.020605904817785e-13 relative error 8.02963244042515e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7401169768683773 y[1] (closed_form) 2.529708229687401 y[1] (numeric) 2.529708229687198 absolute error 2.0294876890147862e-13 relative error 8.02261567242311e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.750043827597641 y[1] (closed_form) 2.542698623296089 y[1] (numeric) 2.5426986232958853 absolute error 2.0383694732117874e-13 relative error 8.016559471642998e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7601448336028565 y[1] (closed_form) 2.555862016964411 y[1] (numeric) 2.5558620169642055 absolute error 2.05613304160579e-13 relative error 8.044773262243055e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.77007168433212 y[1] (closed_form) 2.5687432070866376 y[1] (numeric) 2.5687432070864302 absolute error 2.0738966099997924e-13 relative error 8.073584795390739e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799985350613836 y[1] (closed_form) 2.581568352368167 y[1] (numeric) 2.5815683523679596 absolute error 2.0738966099997924e-13 relative error 8.033475495999675e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790099541066599 y[1] (closed_form) 2.594559667045346 y[1] (numeric) 2.5945596670451385 absolute error 2.0738966099997924e-13 relative error 7.993250786795439e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000263917958628 y[1] (closed_form) 2.6072678981798196 y[1] (numeric) 2.60726789817961 absolute error 2.0961010704922955e-13 relative error 8.039454142612736e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8101273978010783 y[1] (closed_form) 2.6201376481478427 y[1] (numeric) 2.6201376481476317 absolute error 2.1094237467877974e-13 relative error 8.050812705503984e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820054248530342 y[1] (closed_form) 2.632723867842939 y[1] (numeric) 2.6327238678427256 absolute error 2.1360690993788012e-13 relative error 8.113532624782787e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8301552545355575 y[1] (closed_form) 2.6454668910240167 y[1] (numeric) 2.6454668910238017 absolute error 2.149391775674303e-13 relative error 8.124810720433205e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840082105264821 y[1] (closed_form) 2.657926050926403 y[1] (numeric) 2.657926050926188 absolute error 2.149391775674303e-13 relative error 8.086725268090685e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500089559940847 y[1] (closed_form) 2.670320377771875 y[1] (numeric) 2.670320377771657 absolute error 2.1804780203638074e-13 relative error 8.165604541366703e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8601099619993002 y[1] (closed_form) 2.6828643387933 y[1] (numeric) 2.6828643387930815 absolute error 2.184918912462308e-13 relative error 8.143978362487915e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.870036812728564 y[1] (closed_form) 2.6951241509989248 y[1] (numeric) 2.695124150998704 absolute error 2.2071233729548112e-13 relative error 8.18931985799897e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8801378187337794 y[1] (closed_form) 2.707528728655524 y[1] (numeric) 2.707528728655303 absolute error 2.2071233729548112e-13 relative error 8.151800383853364e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890064669463043 y[1] (closed_form) 2.7196491087905463 y[1] (numeric) 2.719649108790324 absolute error 2.2248869413488137e-13 relative error 8.180786757223404e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8999915201923065 y[1] (closed_form) 2.7316985735824795 y[1] (numeric) 2.7316985735822565 absolute error 2.2293278334473143e-13 relative error 8.160958368564317e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.910092526197522 y[1] (closed_form) 2.743885414146003 y[1] (numeric) 2.7438854141457805 absolute error 2.2248869413488137e-13 relative error 8.108527163264503e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9200193769267857 y[1] (closed_form) 2.7557881970797657 y[1] (numeric) 2.7557881970795424 absolute error 2.233768725545815e-13 relative error 8.10573442441215e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9301203829320013 y[1] (closed_form) 2.7678233458435235 y[1] (numeric) 2.767823345843299 absolute error 2.2470914018413168e-13 relative error 8.118622907115093e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.940047233661265 y[1] (closed_form) 2.779574672693386 y[1] (numeric) 2.7795746726931623 absolute error 2.2382096176443156e-13 relative error 8.052345704659584e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9501482396664804 y[1] (closed_form) 2.791453302339497 y[1] (numeric) 2.7914533023392734 absolute error 2.2382096176443156e-13 relative error 8.018080101030126e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.960075090395744 y[1] (closed_form) 2.8030484596290153 y[1] (numeric) 2.80304845962879 absolute error 2.2515322939398175e-13 relative error 8.032441559136686e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9700019411250076 y[1] (closed_form) 2.814564483273627 y[1] (numeric) 2.8145644832734 absolute error 2.2737367544323206e-13 relative error 8.07846744299044e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.980102947130223 y[1] (closed_form) 2.8262001425122683 y[1] (numeric) 2.826200142512039 absolute error 2.291500322826323e-13 relative error 8.108061026383506e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9900297978594867 y[1] (closed_form) 2.8375530643570954 y[1] (numeric) 2.8375530643568663 absolute error 2.291500322826323e-13 relative error 8.075621039867702e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0001308038647023 y[1] (closed_form) 2.849020435165223 y[1] (numeric) 2.8490204351649924 absolute error 2.304822999121825e-13 relative error 8.089878790174989e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.010057654593966 y[1] (closed_form) 2.860205701534721 y[1] (numeric) 2.8602057015344893 absolute error 2.318145675417327e-13 relative error 8.104821531449513e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199845053232295 y[1] (closed_form) 2.8713062018957487 y[1] (numeric) 2.871306201895515 absolute error 2.3359092438113294e-13 relative error 8.13535401507882e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.030085511328445 y[1] (closed_form) 2.882513308796631 y[1] (numeric) 2.882513308796396 absolute error 2.349231920106831e-13 relative error 8.149943013056098e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0400123620577086 y[1] (closed_form) 2.8934394690273346 y[1] (numeric) 2.8934394690270997 absolute error 2.349231920106831e-13 relative error 8.119167327514733e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.050113368062924 y[1] (closed_form) 2.904466938525017 y[1] (numeric) 2.9044669385247817 absolute error 2.353672812205332e-13 relative error 8.103630931328844e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.060040218792188 y[1] (closed_form) 2.9152143761246334 y[1] (numeric) 2.9152143761243985 absolute error 2.349231920106831e-13 relative error 8.058522005609083e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0701412247974034 y[1] (closed_form) 2.92605778508304 y[1] (numeric) 2.9260577850828056 absolute error 2.3447910280083306e-13 relative error 8.013481620089695e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.080068075526667 y[1] (closed_form) 2.9366221892367466 y[1] (numeric) 2.93662218923651 absolute error 2.3669954885008337e-13 relative error 8.06026562482672e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0899949262559305 y[1] (closed_form) 2.9470942971823657 y[1] (numeric) 2.9470942971821277 absolute error 2.3803181647963356e-13 relative error 8.076830683945509e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.100095932261146 y[1] (closed_form) 2.9576543216547724 y[1] (numeric) 2.9576543216545343 absolute error 2.3803181647963356e-13 relative error 8.047993125391935e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1100227829904097 y[1] (closed_form) 2.967937086215615 y[1] (numeric) 2.9679370862153753 absolute error 2.398081733190338e-13 relative error 8.079961480073376e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1201237889956253 y[1] (closed_form) 2.978302337355954 y[1] (numeric) 2.9783023373557116 absolute error 2.424727085781342e-13 relative error 8.141306056704575e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130050639724889 y[1] (closed_form) 2.988391634098313 y[1] (numeric) 2.9883916340980683 absolute error 2.446931546273845e-13 relative error 8.18812205988576e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1401516457301044 y[1] (closed_form) 2.9985579543873744 y[1] (numeric) 2.9985579543871284 absolute error 2.460254222569347e-13 relative error 8.204791302998155e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.150078496459368 y[1] (closed_form) 3.008449736477803 y[1] (numeric) 3.008449736477554 absolute error 2.4868995751603507e-13 relative error 8.266382333088048e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1600053471886316 y[1] (closed_form) 3.0182421443618623 y[1] (numeric) 3.0182421443616114 absolute error 2.509104035652854e-13 relative error 8.313130344230038e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.170106353193847 y[1] (closed_form) 3.02810334801637 y[1] (numeric) 3.0281033480161192 absolute error 2.509104035652854e-13 relative error 8.286058127099596e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1800332039231107 y[1] (closed_form) 3.037692336941036 y[1] (numeric) 3.0376923369407844 absolute error 2.5135449277513544e-13 relative error 8.274521080309604e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1901342099283263 y[1] (closed_form) 3.0473445856182377 y[1] (numeric) 3.047344585617987 absolute error 2.509104035652854e-13 relative error 8.233739129780144e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.20006106065759 y[1] (closed_form) 3.0567263094243478 y[1] (numeric) 3.056726309424097 absolute error 2.509104035652854e-13 relative error 8.208468085339889e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099879113868535 y[1] (closed_form) 3.066003901775463 y[1] (numeric) 3.066003901775211 absolute error 2.517985819849855e-13 relative error 8.212598224000102e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.220088917392069 y[1] (closed_form) 3.0753364272542614 y[1] (numeric) 3.0753364272540087 absolute error 2.5268676040468563e-13 relative error 8.216556672152153e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2300157681213326 y[1] (closed_form) 3.084401157592065 y[1] (numeric) 3.0844011575918118 absolute error 2.531308496145357e-13 relative error 8.206806983957633e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.240116774126548 y[1] (closed_form) 3.0935152258820358 y[1] (numeric) 3.0935152258817817 absolute error 2.540190280342358e-13 relative error 8.21133918814991e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2500436248558118 y[1] (closed_form) 3.1023634583283437 y[1] (numeric) 3.102363458328089 absolute error 2.5490720645393594e-13 relative error 8.216548766058778e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2601446308610273 y[1] (closed_form) 3.111255413761769 y[1] (numeric) 3.1112554137615134 absolute error 2.5579538487363607e-13 relative error 8.221613170754051e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.270071481590291 y[1] (closed_form) 3.1198835992760547 y[1] (numeric) 3.119883599275797 absolute error 2.575717417130363e-13 relative error 8.255812549314463e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2799983323195545 y[1] (closed_form) 3.1284014297177194 y[1] (numeric) 3.12840142971746 absolute error 2.5934809855243657e-13 relative error 8.290115714971974e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.29009933832477 y[1] (closed_form) 3.13695455307797 y[1] (numeric) 3.1369545530777105 absolute error 2.5934809855243657e-13 relative error 8.267512141607696e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3000261890540337 y[1] (closed_form) 3.1452471936099187 y[1] (numeric) 3.145247193609657 absolute error 2.615685446016869e-13 relative error 8.31631119910403e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3101271950592492 y[1] (closed_form) 3.153569472546561 y[1] (numeric) 3.1535694725462995 absolute error 2.615685446016869e-13 relative error 8.294364429855601e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.320054045788513 y[1] (closed_form) 3.161633596977095 y[1] (numeric) 3.1616335969768348 absolute error 2.602362769721367e-13 relative error 8.231070077853237e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3301550517937284 y[1] (closed_form) 3.169721693410418 y[1] (numeric) 3.1697216934101564 absolute error 2.615685446016869e-13 relative error 8.252098130427844e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.340081902522992 y[1] (closed_form) 3.1775540672060205 y[1] (numeric) 3.1775540672057576 absolute error 2.6290081223123707e-13 relative error 8.273684937244895e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3500087532522556 y[1] (closed_form) 3.185270402991346 y[1] (numeric) 3.1852704029910828 absolute error 2.6334490144108713e-13 relative error 8.267583850770568e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.360109759257471 y[1] (closed_form) 3.1930022185700118 y[1] (numeric) 3.193002218569748 absolute error 2.637889906509372e-13 relative error 8.261472200576024e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3700366099867347 y[1] (closed_form) 3.2004821398575736 y[1] (numeric) 3.200482139857311 absolute error 2.62456723021387e-13 relative error 8.200537030119678e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3801376159919503 y[1] (closed_form) 3.207971854790256 y[1] (numeric) 3.2079718547899914 absolute error 2.646771690706373e-13 relative error 8.250607581715908e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.390064466721214 y[1] (closed_form) 3.2152123613713752 y[1] (numeric) 3.2152123613711097 absolute error 2.6556534749033744e-13 relative error 8.259651856310561e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999913174504774 y[1] (closed_form) 3.2223331190353064 y[1] (numeric) 3.222333119035041 absolute error 2.6556534749033744e-13 relative error 8.24139955988913e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.410092323455693 y[1] (closed_form) 3.229455159216777 y[1] (numeric) 3.229455159216512 absolute error 2.646771690706373e-13 relative error 8.195722065229979e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4200191741849566 y[1] (closed_form) 3.236332194487753 y[1] (numeric) 3.2363321944874888 absolute error 2.6423307986078726e-13 relative error 8.16458459705834e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.430120180190172 y[1] (closed_form) 3.243204820584236 y[1] (numeric) 3.243204820583971 absolute error 2.651212582804874e-13 relative error 8.174668975508245e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4400470309194358 y[1] (closed_form) 3.249835375072147 y[1] (numeric) 3.249835375071883 absolute error 2.6423307986078726e-13 relative error 8.130660460144729e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4501480369246513 y[1] (closed_form) 3.25645583046206 y[1] (numeric) 3.2564558304617943 absolute error 2.6556534749033744e-13 relative error 8.155042208960539e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.460074887653915 y[1] (closed_form) 3.2628372446406404 y[1] (numeric) 3.2628372446403753 absolute error 2.651212582804874e-13 relative error 8.125482161758489e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4700017383831785 y[1] (closed_form) 3.2690942168719235 y[1] (numeric) 3.2690942168716575 absolute error 2.660094367001875e-13 relative error 8.137099118382774e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.480102744388394 y[1] (closed_form) 3.2753325881220556 y[1] (numeric) 3.2753325881217887 absolute error 2.6689761511988763e-13 relative error 8.148717967994696e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4900295951176576 y[1] (closed_form) 3.2813366291377384 y[1] (numeric) 3.28133662913747 absolute error 2.682298827494378e-13 relative error 8.17440918336753e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.500130601122873 y[1] (closed_form) 3.2873163936136574 y[1] (numeric) 3.287316393613389 absolute error 2.682298827494378e-13 relative error 8.159539594987996e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.510057451852137 y[1] (closed_form) 3.2930650951830556 y[1] (numeric) 3.293065095182786 absolute error 2.69562150378988e-13 relative error 8.185752257776233e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5199843025814004 y[1] (closed_form) 3.298686376105723 y[1] (numeric) 3.2986863761054517 absolute error 2.7133850721838826e-13 relative error 8.225653374744827e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.530085308586616 y[1] (closed_form) 3.304274910700935 y[1] (numeric) 3.304274910700663 absolute error 2.722266856380884e-13 relative error 8.238620968142781e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5400121593158795 y[1] (closed_form) 3.309637441731037 y[1] (numeric) 3.309637441730764 absolute error 2.731148640577885e-13 relative error 8.252108240440423e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.550113165321095 y[1] (closed_form) 3.3149615794160128 y[1] (numeric) 3.314961579415739 absolute error 2.7355895326763857e-13 relative error 8.25225109594877e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5600400160503587 y[1] (closed_form) 3.320063209633571 y[1] (numeric) 3.320063209633297 absolute error 2.7400304247748863e-13 relative error 8.25294656084966e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5701410220555743 y[1] (closed_form) 3.325120814887966 y[1] (numeric) 3.3251208148876907 absolute error 2.753353101070388e-13 relative error 8.28046033317787e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.580067872784838 y[1] (closed_form) 3.329959498020745 y[1] (numeric) 3.32995949802047 absolute error 2.753353101070388e-13 relative error 8.268428197721087e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899947235141014 y[1] (closed_form) 3.3346671248749233 y[1] (numeric) 3.334667124874647 absolute error 2.7622348852673895e-13 relative error 8.283390161082406e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.600095729519317 y[1] (closed_form) 3.3393223374750773 y[1] (numeric) 3.3393223374747993 absolute error 2.779998453661392e-13 relative error 8.325037755305167e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6100225802485806 y[1] (closed_form) 3.343764153811977 y[1] (numeric) 3.3437641538116982 absolute error 2.788880237858393e-13 relative error 8.340541107479121e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.620123586253796 y[1] (closed_form) 3.3481479725463297 y[1] (numeric) 3.3481479725460495 absolute error 2.802202914153895e-13 relative error 8.369411797599755e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6300504369830597 y[1] (closed_form) 3.3523221967461425 y[1] (numeric) 3.352322196745862 absolute error 2.8066438062523957e-13 relative error 8.372237635680134e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6401514429882753 y[1] (closed_form) 3.3564328632578198 y[1] (numeric) 3.3564328632575395 absolute error 2.802202914153895e-13 relative error 8.348753061111497e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.650078293717539 y[1] (closed_form) 3.3603378210323838 y[1] (numeric) 3.360337821032103 absolute error 2.8066438062523957e-13 relative error 8.352266812835268e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6600051444468025 y[1] (closed_form) 3.3641087290011225 y[1] (numeric) 3.3641087290008396 absolute error 2.828848266744899e-13 relative error 8.408908553870806e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.670106150452018 y[1] (closed_form) 3.36780781159067 y[1] (numeric) 3.367807811590387 absolute error 2.8332891588433995e-13 relative error 8.412858801183168e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6800330011812816 y[1] (closed_form) 3.3713071507447063 y[1] (numeric) 3.3713071507444217 absolute error 2.8466118351389014e-13 relative error 8.443644283523968e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.690134007186497 y[1] (closed_form) 3.3747291721955563 y[1] (numeric) 3.3747291721952735 absolute error 2.828848266744899e-13 relative error 8.38244529383816e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.700060857915761 y[1] (closed_form) 3.377955538944224 y[1] (numeric) 3.37795553894394 absolute error 2.8377300509419e-13 relative error 8.400732390423437e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7099877086450244 y[1] (closed_form) 3.3810461198097275 y[1] (numeric) 3.3810461198094446 absolute error 2.828848266744899e-13 relative error 8.366784026312235e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.72008871465024 y[1] (closed_form) 3.384051226920279 y[1] (numeric) 3.3840512269199965 absolute error 2.824407374646398e-13 relative error 8.346231145019648e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7300155653795035 y[1] (closed_form) 3.386866940600848 y[1] (numeric) 3.3868669406005645 absolute error 2.8332891588433995e-13 relative error 8.365516592573192e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.740116571384719 y[1] (closed_form) 3.389591769682441 y[1] (numeric) 3.3895917696821574 absolute error 2.8377300509419e-13 relative error 8.371893265506001e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7500434221139827 y[1] (closed_form) 3.3921314867907064 y[1] (numeric) 3.392131486790423 absolute error 2.8332891588433995e-13 relative error 8.352533414098204e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7601444281191982 y[1] (closed_form) 3.3945749449099343 y[1] (numeric) 3.39457494490965 absolute error 2.8421709430404007e-13 relative error 8.37268579767889e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.770071278848462 y[1] (closed_form) 3.396837646761205 y[1] (numeric) 3.39683764676092 absolute error 2.851052727237402e-13 relative error 8.393255797655816e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799981295777254 y[1] (closed_form) 3.3989627020570223 y[1] (numeric) 3.398962702056737 absolute error 2.8554936193359026e-13 relative error 8.401073708775277e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.790099135582941 y[1] (closed_form) 3.4009835328638705 y[1] (numeric) 3.400983532863584 absolute error 2.864375403532904e-13 relative error 8.422197213995022e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8000259863122046 y[1] (closed_form) 3.402830256787206 y[1] (numeric) 3.4028302567869186 absolute error 2.873257187729905e-13 relative error 8.44372763525002e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.81012699231742 y[1] (closed_form) 3.404567482176997 y[1] (numeric) 3.4045674821767093 absolute error 2.877698079828406e-13 relative error 8.45246303647448e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8200538430466837 y[1] (closed_form) 3.4061351340038613 y[1] (numeric) 3.406135134003572 absolute error 2.8910207561239076e-13 relative error 8.48768660779925e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8301548490518993 y[1] (closed_form) 3.4075880571726462 y[1] (numeric) 3.4075880571723562 absolute error 2.899902540320909e-13 relative error 8.510132362440031e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.840081699781163 y[1] (closed_form) 3.4088760081153233 y[1] (numeric) 3.4088760081150324 absolute error 2.90878432451791e-13 relative error 8.53297191682281e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8500085505104265 y[1] (closed_form) 3.410025126223686 y[1] (numeric) 3.4100251262233945 absolute error 2.913225216616411e-13 relative error 8.543119504349697e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.860109556515642 y[1] (closed_form) 3.4110517797524977 y[1] (numeric) 3.411051779752206 absolute error 2.9176661087149114e-13 relative error 8.553567336719274e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8700364072449056 y[1] (closed_form) 3.411920465973517 y[1] (numeric) 3.4119204659732265 absolute error 2.9043434324194095e-13 relative error 8.512342129260971e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.880137413250121 y[1] (closed_form) 3.412661576209817 y[1] (numeric) 3.412661576209525 absolute error 2.922107000813412e-13 relative error 8.562545495820226e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8900642639793848 y[1] (closed_form) 3.413249482112028 y[1] (numeric) 3.4132494821117363 absolute error 2.9176661087149114e-13 relative error 8.548059917699122e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8999911147086483 y[1] (closed_form) 3.4136981242109914 y[1] (numeric) 3.4136981242106983 absolute error 2.9309887850104133e-13 relative error 8.585963604171511e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.910092120713864 y[1] (closed_form) 3.4140116415686683 y[1] (numeric) 3.414011641568376 absolute error 2.922107000813412e-13 relative error 8.559159451110611e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9200189714431275 y[1] (closed_form) 3.414179192434423 y[1] (numeric) 3.4141791924341325 absolute error 2.9043434324194095e-13 relative error 8.506710599300785e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.930119977448343 y[1] (closed_form) 3.414206638640031 y[1] (numeric) 3.4142066386397394 absolute error 2.9176661087149114e-13 relative error 8.54566350991894e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9400468281776067 y[1] (closed_form) 3.414093031067652 y[1] (numeric) 3.414093031067361 absolute error 2.90878432451791e-13 relative error 8.519932813922994e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9501478341828222 y[1] (closed_form) 3.413834395112472 y[1] (numeric) 3.413834395112182 absolute error 2.899902540320909e-13 relative error 8.494561260712146e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.960074684912086 y[1] (closed_form) 3.4134396746701414 y[1] (numeric) 3.4134396746698514 absolute error 2.899902540320909e-13 relative error 8.495543547583396e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9700015356413494 y[1] (closed_form) 3.4129056716826924 y[1] (numeric) 3.4129056716824024 absolute error 2.899902540320909e-13 relative error 8.496872809529325e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.980102541646565 y[1] (closed_form) 3.4122193853042138 y[1] (numeric) 3.412219385303924 absolute error 2.8954616482224083e-13 relative error 8.48556707898858e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9900293923758285 y[1] (closed_form) 3.411404548019043 y[1] (numeric) 3.4114045480187527 absolute error 2.9043434324194095e-13 relative error 8.513629478819575e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.000130398381044 y[1] (closed_form) 3.410432652429933 y[1] (numeric) 3.410432652429643 absolute error 2.899902540320909e-13 relative error 8.503034177363768e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010057249110282 y[1] (closed_form) 3.4093373076796114 y[1] (numeric) 3.4093373076793205 absolute error 2.90878432451791e-13 relative error 8.53181736511024e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019984099839521 y[1] (closed_form) 3.4081030846378 y[1] (numeric) 3.408103084637507 absolute error 2.9309887850104133e-13 relative error 8.600059071634295e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0300851058447105 y[1] (closed_form) 3.406704779837887 y[1] (numeric) 3.4067047798375913 absolute error 2.957634137601417e-13 relative error 8.681803469164006e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.040011956573949 y[1] (closed_form) 3.405190748088888 y[1] (numeric) 3.4051907480885895 absolute error 2.984279490192421e-13 relative error 8.763912834742966e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0501129625791386 y[1] (closed_form) 3.403508020405096 y[1] (numeric) 3.403508020404793 absolute error 3.028688411177427e-13 relative error 8.898725647242468e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.060039813308377 y[1] (closed_form) 3.4017147872295235 y[1] (numeric) 3.401714787229216 absolute error 3.0730973321624333e-13 relative error 9.033965292149822e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.070140819313567 y[1] (closed_form) 3.3997483116066816 y[1] (numeric) 3.3997483116063694 absolute error 3.12194714524594e-13 relative error 9.182877257671301e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080067670042805 y[1] (closed_form) 3.3976765962732993 y[1] (numeric) 3.397676596272981 absolute error 3.184119634624949e-13 relative error 9.371461775136021e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089994520772043 y[1] (closed_form) 3.395467151713075 y[1] (numeric) 3.3954671517127513 absolute error 3.2374103398069565e-13 relative error 9.534506432122674e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100095526777233 y[1] (closed_form) 3.393077794945222 y[1] (numeric) 3.3930777949448934 absolute error 3.2862601528904634e-13 relative error 9.685189528475036e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.110022377506471 y[1] (closed_form) 3.3905911523686405 y[1] (numeric) 3.3905911523683057 absolute error 3.348432642269472e-13 relative error 9.875660295787308e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120123383511661 y[1] (closed_form) 3.3879202278320366 y[1] (numeric) 3.387920227831693 absolute error 3.4372504842394846e-13 relative error 1.014560631033221e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.130050234240899 y[1] (closed_form) 3.3851573846355074 y[1] (numeric) 3.385157384635158 absolute error 3.494982081519993e-13 relative error 1.0324430105917543e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.140151240246089 y[1] (closed_form) 3.3822059636423583 y[1] (numeric) 3.3822059636420017 absolute error 3.566036355096003e-13 relative error 1.054352216698144e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.150078090975327 y[1] (closed_form) 3.379168028006814 y[1] (numeric) 3.379168028006452 absolute error 3.6193270602780103e-13 relative error 1.0710704618062016e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.160004941704566 y[1] (closed_form) 3.3759941870075467 y[1] (numeric) 3.3759941870071786 absolute error 3.681499549657019e-13 relative error 1.0904934504405263e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1701059477097555 y[1] (closed_form) 3.3726254848233115 y[1] (numeric) 3.372625484822936 absolute error 3.7569947153315297e-13 relative error 1.1139673622932239e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.180032798438994 y[1] (closed_form) 3.369178414618374 y[1] (numeric) 3.369178414617989 absolute error 3.850253449400043e-13 relative error 1.1427870464485805e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.190133804444184 y[1] (closed_form) 3.365532379309787 y[1] (numeric) 3.365532379309393 absolute error 3.9390712913700554e-13 relative error 1.1704155085793264e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200060655173422 y[1] (closed_form) 3.361813462524684 y[1] (numeric) 3.361813462524283 absolute error 4.0101255649460654e-13 relative error 1.1928459474769627e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.20998750590266 y[1] (closed_form) 3.3579603505217475 y[1] (numeric) 3.357960350521338 absolute error 4.0945025148175773e-13 relative error 1.21934212659223e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.22008851190785 y[1] (closed_form) 3.353902284820823 y[1] (numeric) 3.353902284820404 absolute error 4.192202140984591e-13 relative error 1.249947608777324e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.230015362637088 y[1] (closed_form) 3.3497795974810964 y[1] (numeric) 3.3497795974806657 absolute error 4.3076653355456074e-13 relative error 1.285954854696949e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.240116368642278 y[1] (closed_form) 3.345448054693126 y[1] (numeric) 3.345448054692684 absolute error 4.418687638008123e-13 relative error 1.3208059326491155e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250043219371516 y[1] (closed_form) 3.341057445633253 y[1] (numeric) 3.3410574456328 absolute error 4.5297099404706387e-13 relative error 1.3557713431090355e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.260144225376706 y[1] (closed_form) 3.3364541631471423 y[1] (numeric) 3.3364541631466773 absolute error 4.649614027130156e-13 relative error 1.3935794708309023e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.270071076105944 y[1] (closed_form) 3.331797393447608 y[1] (numeric) 3.331797393447133 absolute error 4.75175454539567e-13 relative error 1.4261835232660255e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279997926835183 y[1] (closed_form) 3.3270093863603987 y[1] (numeric) 3.327009386359912 absolute error 4.867217739956686e-13 relative error 1.462940789981121e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2900989328403725 y[1] (closed_form) 3.3220031551462594 y[1] (numeric) 3.3220031551457616 absolute error 4.978240042419202e-13 relative error 1.4985657177077615e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.300025783569611 y[1] (closed_form) 3.3169518203968256 y[1] (numeric) 3.316951820396316 absolute error 5.093703236980218e-13 relative error 1.5356578909761883e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3101267895748006 y[1] (closed_form) 3.31167865921423 y[1] (numeric) 3.311678659213706 absolute error 5.240252676230739e-13 relative error 1.58235542015846e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320053640304039 y[1] (closed_form) 3.306366022901213 y[1] (numeric) 3.306366022900676 absolute error 5.369038547087257e-13 relative error 1.6238488146500265e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330154646309229 y[1] (closed_form) 3.3008280468237476 y[1] (numeric) 3.3008280468231965 absolute error 5.511147094239277e-13 relative error 1.6696256260735635e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.340081497038467 y[1] (closed_form) 3.2952562398542735 y[1] (numeric) 3.2952562398537095 absolute error 5.639932965095795e-13 relative error 1.7115309264523876e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.350008347767705 y[1] (closed_form) 3.289556796319264 y[1] (numeric) 3.2895567963186862 absolute error 5.777600620149315e-13 relative error 1.7563462125396226e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360109353772895 y[1] (closed_form) 3.283626927408183 y[1] (numeric) 3.2836269274075915 absolute error 5.915268275202834e-13 relative error 1.801443466621784e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370036204502133 y[1] (closed_form) 3.2776716940481627 y[1] (numeric) 3.277671694047557 absolute error 6.057376822354854e-13 relative error 1.84807307984942e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.380137210507323 y[1] (closed_form) 3.2714827500992096 y[1] (numeric) 3.271482750098586 absolute error 6.235012506294879e-13 relative error 1.905867456004712e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390064061236561 y[1] (closed_form) 3.265274115568033 y[1] (numeric) 3.2652741155673946 absolute error 6.3860028376439e-13 relative error 1.9557325393286255e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3999909119658 y[1] (closed_form) 3.258940798956506 y[1] (numeric) 3.2589407989558494 absolute error 6.563638521583925e-13 relative error 2.0140404280082552e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.410091917970989 y[1] (closed_form) 3.2523690335679074 y[1] (numeric) 3.252369033567235 absolute error 6.723510637129948e-13 relative error 2.0672656047749094e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.420018768700228 y[1] (closed_form) 3.245786077765566 y[1] (numeric) 3.245786077764877 absolute error 6.887823644774471e-13 relative error 2.1220818254036394e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4301197747054175 y[1] (closed_form) 3.238961624297312 y[1] (numeric) 3.238961624296606 absolute error 7.056577544517495e-13 relative error 2.1786542611626063e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440046625434656 y[1] (closed_form) 3.2321316697385094 y[1] (numeric) 3.2321316697377878 absolute error 7.216449660063518e-13 relative error 2.2327214350915826e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450147631439846 y[1] (closed_form) 3.2250572654900624 y[1] (numeric) 3.2250572654893244 absolute error 7.380762667708041e-13 relative error 2.2885679416258366e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.460074482169084 y[1] (closed_form) 3.217983051680759 y[1] (numeric) 3.217983051680003 absolute error 7.558398351648066e-13 relative error 2.3487999253757098e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.470001332898322 y[1] (closed_form) 3.2107888159261333 y[1] (numeric) 3.210788815925361 absolute error 7.722711359292589e-13 relative error 2.405238027797545e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.480102338903512 y[1] (closed_form) 3.2033458986261905 y[1] (numeric) 3.2033458986253986 absolute error 7.918110611626616e-13 relative error 2.4718250423791053e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.49002918963275 y[1] (closed_form) 3.195911683467649 y[1] (numeric) 3.1959116834668384 absolute error 8.104628079763643e-13 relative error 2.53593618424709e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.50013019563794 y[1] (closed_form) 3.1882260815608663 y[1] (numeric) 3.188226081560039 absolute error 8.273381979506667e-13 relative error 2.594979705911022e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510057046367178 y[1] (closed_form) 3.1805548688742844 y[1] (numeric) 3.1805548688734384 absolute error 8.459899447643693e-13 relative error 2.659881623308691e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519983897096417 y[1] (closed_form) 3.1727673224737596 y[1] (numeric) 3.1727673224728945 absolute error 8.65085780787922e-13 relative error 2.7265969825780586e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530084903101606 y[1] (closed_form) 3.164724531789524 y[1] (numeric) 3.16472453178864 absolute error 8.841816168114747e-13 relative error 2.7938659682064195e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.540011753830845 y[1] (closed_form) 3.1567046247429826 y[1] (numeric) 3.156704624742079 absolute error 9.037215420448774e-13 relative error 2.8628638072795866e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5501127598360345 y[1] (closed_form) 3.1484270217875 y[1] (numeric) 3.1484270217865764 absolute error 9.237055564881302e-13 relative error 2.933863640783079e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.560039610565273 y[1] (closed_form) 3.140177970892793 y[1] (numeric) 3.1401779708918505 absolute error 9.423573033018329e-13 relative error 3.00096781786514e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5701406165704626 y[1] (closed_form) 3.1316688758261653 y[1] (numeric) 3.131668875825204 absolute error 9.614531393253856e-13 relative error 3.070098332384342e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.580067467299701 y[1] (closed_form) 3.1231939897911163 y[1] (numeric) 3.1231939897901344 absolute error 9.818812429784884e-13 relative error 3.1438368740078105e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589994318028939 y[1] (closed_form) 3.114608422472414 y[1] (numeric) 3.114608422471411 absolute error 1.0031975250512914e-12 relative error 3.2209426964014344e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.600095324034129 y[1] (closed_form) 3.1057594937405892 y[1] (numeric) 3.1057594937395634 absolute error 1.0258460747536446e-12 relative error 3.303044156577982e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.610022174763367 y[1] (closed_form) 3.0969532085945857 y[1] (numeric) 3.096953208593538 absolute error 1.0476064460362977e-12 relative error 3.382700271767126e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620123180768557 y[1] (closed_form) 3.0878814757461313 y[1] (numeric) 3.0878814757450606 absolute error 1.070699084948501e-12 relative error 3.4674228702051644e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.630050031497795 y[1] (closed_form) 3.0788580049882217 y[1] (numeric) 3.0788580049871292 absolute error 1.092459456231154e-12 relative error 3.54826190250152e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640151037502985 y[1] (closed_form) 3.0695671067100396 y[1] (numeric) 3.0695671067089254 absolute error 1.1142198275138071e-12 relative error 3.629892388011765e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650077888232223 y[1] (closed_form) 3.060330069669124 y[1] (numeric) 3.060330069667986 absolute error 1.1377565556358604e-12 relative error 3.717757659254291e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660004738961462 y[1] (closed_form) 3.050988546053072 y[1] (numeric) 3.0509885460519106 absolute error 1.1612932837579137e-12 relative error 3.806285294843952e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.670105744966651 y[1] (closed_form) 3.041376834222494 y[1] (numeric) 3.0413768342213094 absolute error 1.184385922670117e-12 relative error 3.894242598756746e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.68003259569589 y[1] (closed_form) 3.031827316995436 y[1] (numeric) 3.0318273169942263 absolute error 1.2096990076315706e-12 relative error 3.9899996970486814e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6901336017010795 y[1] (closed_form) 3.0220059008221103 y[1] (numeric) 3.0220059008208766 absolute error 1.233679824963474e-12 relative error 4.082321032622279e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700060452430318 y[1] (closed_form) 3.012252220311047 y[1] (numeric) 3.0122522203097892 absolute error 1.2576606422953773e-12 relative error 4.175150519651739e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709987303159556 y[1] (closed_form) 3.0023987908909398 y[1] (numeric) 3.002398790889659 absolute error 1.2807532812075806e-12 relative error 4.265766709916395e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720088309164746 y[1] (closed_form) 2.9922711076032433 y[1] (numeric) 2.9922711076019395 absolute error 1.3038459201197838e-12 relative error 4.357378971466732e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.730015159893984 y[1] (closed_form) 2.982219396086299 y[1] (numeric) 2.9822193960849703 absolute error 1.3287149158713873e-12 relative error 4.455456622725745e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740116165899174 y[1] (closed_form) 2.9718919933290575 y[1] (numeric) 2.9718919933277026 absolute error 1.354916179252541e-12 relative error 4.5591030303049115e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.750043016628412 y[1] (closed_form) 2.9616460314732276 y[1] (numeric) 2.9616460314718474 absolute error 1.3802292642139946e-12 relative error 4.66034512411809e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.760144022633602 y[1] (closed_form) 2.951123051584602 y[1] (numeric) 2.9511230515831968 absolute error 1.4050982599655981e-12 relative error 4.7612323695249926e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.77007087336284 y[1] (closed_form) 2.940686949061967 y[1] (numeric) 2.9406869490605363 absolute error 1.4308554341369017e-12 relative error 4.865718313176186e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.779997724092079 y[1] (closed_form) 2.9301581497834874 y[1] (numeric) 2.93015814978203 absolute error 1.4575007867279055e-12 relative error 4.974136931262914e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790098730097268 y[1] (closed_form) 2.9193505555747987 y[1] (numeric) 2.9193505555733146 absolute error 1.4841461393189093e-12 relative error 5.083822963586131e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.800025580826507 y[1] (closed_form) 2.908637904088746 y[1] (numeric) 2.9086379040872345 absolute error 1.511235581119763e-12 relative error 5.195681384043648e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8101265868316965 y[1] (closed_form) 2.8976454090740953 y[1] (numeric) 2.897645409072555 absolute error 1.5401013797600172e-12 relative error 5.3150098177545346e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.820053437560935 y[1] (closed_form) 2.8867532022425246 y[1] (numeric) 2.8867532022409588 absolute error 1.5658585539313208e-12 relative error 5.4242896577196495e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8301544435661246 y[1] (closed_form) 2.875580215529665 y[1] (numeric) 2.875580215528071 absolute error 1.5938361741518747e-12 relative error 5.542659410244619e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840081294295363 y[1] (closed_form) 2.864512822234577 y[1] (numeric) 2.864512822232956 absolute error 1.6209256159527285e-12 relative error 5.6586432546957894e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.850008145024601 y[1] (closed_form) 2.853360238500642 y[1] (numeric) 2.853360238498993 absolute error 1.6489032361732825e-12 relative error 5.778811991295335e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.860109151029791 y[1] (closed_form) 2.841925684717748 y[1] (numeric) 2.841925684716071 absolute error 1.6768808563938364e-12 relative error 5.900509170282471e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.870036001759029 y[1] (closed_form) 2.8306045794415526 y[1] (numeric) 2.8306045794398482 absolute error 1.7044143874045403e-12 relative error 6.021379318692415e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.880137007764219 y[1] (closed_form) 2.819000849429889 y[1] (numeric) 2.8190008494281567 absolute error 1.7323920076250943e-12 relative error 6.145411442410353e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890063858493457 y[1] (closed_form) 2.807515763525301 y[1] (numeric) 2.8075157635235395 absolute error 1.7617018954751984e-12 relative error 6.274949257143583e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8999907092226955 y[1] (closed_form) 2.79595110376073 y[1] (numeric) 2.7959511037589406 absolute error 1.7892354264859023e-12 relative error 6.399380246955206e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910091715227885 y[1] (closed_form) 2.7841030517137657 y[1] (numeric) 2.7841030517119485 absolute error 1.8172130467064562e-12 relative error 6.527104108405268e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.920018565957124 y[1] (closed_form) 2.772381325132624 y[1] (numeric) 2.772381325130779 absolute error 1.84519066692701e-12 relative error 6.655616419717229e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.930119571962313 y[1] (closed_form) 2.760375834883999 y[1] (numeric) 2.760375834882124 absolute error 1.8749446439869644e-12 relative error 6.792352766940362e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940046422691552 y[1] (closed_form) 2.748501743090017 y[1] (numeric) 2.748501743088114 absolute error 1.9033663534173684e-12 relative error 6.925105134834293e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9501474286967415 y[1] (closed_form) 2.7363436300615316 y[1] (numeric) 2.7363436300595985 absolute error 1.9331203304773226e-12 relative error 7.064610998560341e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.96007427942598 y[1] (closed_form) 2.7243219357723745 y[1] (numeric) 2.724321935770413 absolute error 1.9615420399077266e-12 relative error 7.200111022677679e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.970001130155218 y[1] (closed_form) 2.712228865672486 y[1] (numeric) 2.712228865670496 absolute error 1.9899637493381306e-12 relative error 7.337005274607337e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980102136160408 y[1] (closed_form) 2.699851601740013 y[1] (numeric) 2.699851601737993 absolute error 2.020161815607935e-12 relative error 7.482492053659435e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.990028986889646 y[1] (closed_form) 2.687618162411014 y[1] (numeric) 2.6876181624089672 absolute error 2.0468071681989386e-12 relative error 7.61569183013254e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.000129992894836 y[1] (closed_form) 2.6751005560839904 y[1] (numeric) 2.675100556081914 absolute error 2.0765611452588928e-12 relative error 7.762553600223224e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.010056843624074 y[1] (closed_form) 2.662731654378431 y[1] (numeric) 2.662731654376324 absolute error 2.106759211528697e-12 relative error 7.912022257535688e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.0199836943533125 y[1] (closed_form) 2.6502974460643145 y[1] (numeric) 2.6502974460621767 absolute error 2.1378454562182014e-12 relative error 8.066435936814929e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.030084700358502 y[1] (closed_form) 2.637579323593868 y[1] (numeric) 2.6375793235916998 absolute error 2.1680435224880057e-12 relative error 8.219823013830386e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.040011551087741 y[1] (closed_form) 2.62501709263974 y[1] (numeric) 2.6250170926375422 absolute error 2.19779749954796e-12 relative error 8.372507385610337e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.05011255709293 y[1] (closed_form) 2.612171258698396 y[1] (numeric) 2.6121712586961676 absolute error 2.2284396550276142e-12 relative error 8.530986043150979e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.060039407822169 y[1] (closed_form) 2.5994860438356664 y[1] (numeric) 2.599486043833407 absolute error 2.2595258997171186e-12 relative error 8.692202464695981e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.0701404138273585 y[1] (closed_form) 2.5865176509084575 y[1] (numeric) 2.5865176509061683 absolute error 2.2892798767770728e-12 relative error 8.850818690423448e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.080067264556597 y[1] (closed_form) 2.5737145401975843 y[1] (numeric) 2.573714540195264 absolute error 2.320366121466577e-12 relative error 9.015631241250408e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.089994115285835 y[1] (closed_form) 2.5608548947631125 y[1] (numeric) 2.56085489476076 absolute error 2.3523405445757817e-12 relative error 9.185762728635123e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.100095121291025 y[1] (closed_form) 2.54771291871781 y[1] (numeric) 2.5477129187154257 absolute error 2.384314967684986e-12 relative error 9.358648496726792e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.110021972020263 y[1] (closed_form) 2.534743075024113 y[1] (numeric) 2.5347430750216975 absolute error 2.4154012123744906e-12 relative error 9.529175702951719e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.120122978025453 y[1] (closed_form) 2.521491608689304 y[1] (numeric) 2.5214916086868566 absolute error 2.447375635483695e-12 relative error 9.706062978951831e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.130049828754691 y[1] (closed_form) 2.5084167689619283 y[1] (numeric) 2.5084167689594503 absolute error 2.4780177909633494e-12 relative error 9.878812092253876e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.140150834759881 y[1] (closed_form) 2.495061127522464 y[1] (numeric) 2.4950611275199526 absolute error 2.511324481702104e-12 relative error 1.0065182187322958e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.150077685489119 y[1] (closed_form) 2.4818865361010385 y[1] (numeric) 2.4818865360984907 absolute error 2.5477397969098092e-12 relative error 1.0265335501244243e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.1600045362183575 y[1] (closed_form) 2.4686644588304403 y[1] (numeric) 2.468664458827861 absolute error 2.5792701308091637e-12 relative error 1.0448038499452955e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.170105542223547 y[1] (closed_form) 2.455163017761294 y[1] (numeric) 2.455163017758682 absolute error 2.6121327323380683e-12 relative error 1.0639345385382616e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.180032392952786 y[1] (closed_form) 2.441849106523926 y[1] (numeric) 2.4418491065212806 absolute error 2.645439423076823e-12 relative error 1.0833754698474043e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.190133398957975 y[1] (closed_form) 2.4282569327896684 y[1] (numeric) 2.428256932786989 absolute error 2.6791902030254278e-12 relative error 1.1033388464158437e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.200060249687214 y[1] (closed_form) 2.4148565278171334 y[1] (numeric) 2.414856527814421 absolute error 2.7124968937641825e-12 relative error 1.1232538507023007e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.209987100416452 y[1] (closed_form) 2.4014152422367525 y[1] (numeric) 2.401415242234006 absolute error 2.7466917629226373e-12 relative error 1.1437804318941041e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.220088106421642 y[1] (closed_form) 2.3876975494775885 y[1] (numeric) 2.38769754947481 absolute error 2.7786661860318418e-12 relative error 1.1637429483645426e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.23001495715088 y[1] (closed_form) 2.3741778213744125 y[1] (numeric) 2.3741778213716 absolute error 2.8124169659804465e-12 relative error 1.1845856450433594e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.24011596315607 y[1] (closed_form) 2.360383065015985 y[1] (numeric) 2.3603830650131377 absolute error 2.8475000135586015e-12 relative error 1.2063719892598522e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.250042813885308 y[1] (closed_form) 2.3467903171750977 y[1] (numeric) 2.3467903171722164 absolute error 2.8812507935072063e-12 relative error 1.2277410437654502e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.260143819890498 y[1] (closed_form) 2.332924030316775 y[1] (numeric) 2.3329240303138605 absolute error 2.914557484245961e-12 relative error 1.249315214027869e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.270070670619736 y[1] (closed_form) 2.3192637148115978 y[1] (numeric) 2.319263714808649 absolute error 2.9487523534044158e-12 relative error 1.2714174479481103e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.2799975213489745 y[1] (closed_form) 2.3055719385631286 y[1] (numeric) 2.3055719385601465 absolute error 2.9820590441431705e-12 relative error 1.2934140090209634e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.290098527354164 y[1] (closed_form) 2.2916090552492028 y[1] (numeric) 2.2916090552461847 absolute error 3.0180302701410255e-12 relative error 1.316991771885291e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.300025378083403 y[1] (closed_form) 2.277857915644554 y[1] (numeric) 2.2778579156415044 absolute error 3.04956060404038e-12 relative error 1.338784382948425e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.310126384088592 y[1] (closed_form) 2.2638374308171554 y[1] (numeric) 2.2638374308140707 absolute error 3.084643651618535e-12 relative error 1.362572952292383e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.320053234817831 y[1] (closed_form) 2.2500324434609444 y[1] (numeric) 2.2500324434578243 absolute error 3.12017078840654e-12 relative error 1.3867225770341206e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.3301542408230205 y[1] (closed_form) 2.2359599807594996 y[1] (numeric) 2.2359599807563457 absolute error 3.1539215683551447e-12 relative error 1.4105447304489935e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.340081091552259 y[1] (closed_form) 2.222106682854764 y[1] (numeric) 2.2221066828515776 absolute error 3.1863400806741993e-12 relative error 1.4339275900924227e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.350007942281497 y[1] (closed_form) 2.20823149821186 y[1] (numeric) 2.2082314982086397 absolute error 3.220090860622804e-12 relative error 1.4582215964360207e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.360108948286687 y[1] (closed_form) 2.194091834894328 y[1] (numeric) 2.1940918348910734 absolute error 3.254729818991109e-12 relative error 1.4834063767198072e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.370035799015925 y[1] (closed_form) 2.180176656910093 y[1] (numeric) 2.180176656906805 absolute error 3.2880365097298636e-12 relative error 1.5081514148444792e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.380136805021115 y[1] (closed_form) 2.165999136381037 y[1] (numeric) 2.1659991363777134 absolute error 3.3235636465178686e-12 relative error 1.5344251946798542e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.390063655750353 y[1] (closed_form) 2.1520495464561487 y[1] (numeric) 2.152049546452791 absolute error 3.3577585156763234e-12 relative error 1.560260785447833e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.3999905064795914 y[1] (closed_form) 2.1380849733323357 y[1] (numeric) 2.138084973328942 absolute error 3.3937297416741785e-12 relative error 1.587275428246822e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.410091512484781 y[1] (closed_form) 2.1238614486800973 y[1] (numeric) 2.123861448676668 absolute error 3.4292568784621835e-12 relative error 1.614633045198566e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.4200183632140195 y[1] (closed_form) 2.1098708365180174 y[1] (numeric) 2.1098708365145535 absolute error 3.4638958368304884e-12 relative error 1.641757294748459e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.430119369219209 y[1] (closed_form) 2.0956236698741226 y[1] (numeric) 2.0956236698706237 absolute error 3.4989788844086434e-12 relative error 1.6696599369002238e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.440046219948448 y[1] (closed_form) 2.0816126303312283 y[1] (numeric) 2.0816126303276947 absolute error 3.5336178427769482e-12 relative error 1.697538625241083e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.450147225953637 y[1] (closed_form) 2.067347536257551 y[1] (numeric) 2.0673475362539846 absolute error 3.566480444305853e-12 relative error 1.7251479887905693e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.460074076682876 y[1] (closed_form) 2.053321689184749 y[1] (numeric) 2.0533216891811494 absolute error 3.5997871350446076e-12 relative error 1.7531530271196165e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.470000927412114 y[1] (closed_form) 2.039290587709717 y[1] (numeric) 2.039290587706082 absolute error 3.6353142718326126e-12 relative error 1.7826367138365282e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.480101933417304 y[1] (closed_form) 2.025009360621409 y[1] (numeric) 2.0250093606177386 absolute error 3.6703973194107675e-12 relative error 1.8125335076399069e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.490028784146542 y[1] (closed_form) 2.0109718673476182 y[1] (numeric) 2.0109718673439114 absolute error 3.706812634618473e-12 relative error 1.843294127981806e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.500129790151732 y[1] (closed_form) 1.996687000762564 y[1] (numeric) 1.996687000758823 absolute error 3.7407854591720024e-12 relative error 1.8734961752860324e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.51005664088097 y[1] (closed_form) 1.9826487461515563 y[1] (numeric) 1.9826487461477813 absolute error 3.774980328330457e-12 relative error 1.904008632723233e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.519983491610208 y[1] (closed_form) 1.9686122013601048 y[1] (numeric) 1.9686122013562959 absolute error 3.808953152883987e-12 relative error 1.934841788673462e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.530084497615398 y[1] (closed_form) 1.954332584571831 y[1] (numeric) 1.9543325845679873 absolute error 3.843592111252292e-12 relative error 1.966703181226635e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.5400113483446365 y[1] (closed_form) 1.9403036995287062 y[1] (numeric) 1.9403036995248286 absolute error 3.877564935805822e-12 relative error 1.998431965443178e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.550112354349826 y[1] (closed_form) 1.9260347402672269 y[1] (numeric) 1.9260347402633147 absolute error 3.912203894174127e-12 relative error 2.0312218738231737e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.560039205079065 y[1] (closed_form) 1.912019141981196 y[1] (numeric) 1.9120191419772496 absolute error 3.9463987633325814e-12 relative error 2.0639954259262289e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.570140211084254 y[1] (closed_form) 1.8977665635494403 y[1] (numeric) 1.8977665635454593 absolute error 3.981037721700886e-12 relative error 2.097748900294171e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.580067061813493 y[1] (closed_form) 1.8837698736999307 y[1] (numeric) 1.8837698736959159 absolute error 4.014788501649491e-12 relative error 2.1312521012792323e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.589993912542731 y[1] (closed_form) 1.869784637347942 y[1] (numeric) 1.8697846373438927 absolute error 4.049427460017796e-12 relative error 2.165718649695083e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.600094918547921 y[1] (closed_form) 1.8555672255126834 y[1] (numeric) 1.8555672255086 absolute error 4.083400284571326e-12 relative error 2.2006210437582523e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.610021769277159 y[1] (closed_form) 1.841609290825279 y[1] (numeric) 1.8416092908211616 absolute error 4.1173731091248555e-12 relative error 2.2357473594628426e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.620122775282349 y[1] (closed_form) 1.8274225095478327 y[1] (numeric) 1.8274225095436805 absolute error 4.1522341120980855e-12 relative error 2.2721806754615773e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.630049626011587 y[1] (closed_form) 1.8134974750754753 y[1] (numeric) 1.8134974750712902 absolute error 4.18509671362699e-12 relative error 2.3077488505754945e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.640150632016777 y[1] (closed_form) 1.799347014697046 y[1] (numeric) 1.7993470146928263 absolute error 4.219735671995295e-12 relative error 2.345148344109581e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.650077482746015 y[1] (closed_form) 1.7854604657938693 y[1] (numeric) 1.785460465789616 absolute error 4.253264407338975e-12 relative error 2.382166667268012e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.6600043334752534 y[1] (closed_form) 1.7715950579502564 y[1] (numeric) 1.7715950579459694 absolute error 4.2870151872875795e-12 relative error 2.419861789548948e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.670105339480443 y[1] (closed_form) 1.7575095086708017 y[1] (numeric) 1.7575095086664798 absolute error 4.321876190260809e-12 relative error 2.4590912134122274e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.6800321902096815 y[1] (closed_form) 1.743690910644689 y[1] (numeric) 1.7436909106403327 absolute error 4.356293104024189e-12 relative error 2.4983172633580755e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.690133196214871 y[1] (closed_form) 1.7296558148809527 y[1] (numeric) 1.7296558148765622 absolute error 4.390487973182644e-12 relative error 2.538359328722766e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.70006004694411 y[1] (closed_form) 1.71588956933464 y[1] (numeric) 1.7158895693302154 absolute error 4.424682842341099e-12 relative error 2.578652450260439e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.709986897673348 y[1] (closed_form) 1.7021513204722947 y[1] (numeric) 1.7021513204678365 absolute error 4.458211577684779e-12 relative error 2.619162893489259e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.720087903678538 y[1] (closed_form) 1.6882021851836422 y[1] (numeric) 1.6882021851791498 absolute error 4.4924064468432334e-12 relative error 2.661059490545885e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.730014754407776 y[1] (closed_form) 1.6745245388226524 y[1] (numeric) 1.6745245388181278 absolute error 4.524602914557363e-12 relative error 2.7020224605000904e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.740115760412966 y[1] (closed_form) 1.6606398636468231 y[1] (numeric) 1.6606398636422648 absolute error 4.558353694505968e-12 relative error 2.7449381375776827e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.750042611142204 y[1] (closed_form) 1.6470283059135458 y[1] (numeric) 1.6470283059089545 absolute error 4.591216296034872e-12 relative error 2.787575829480535e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.760143617147394 y[1] (closed_form) 1.6332136600164926 y[1] (numeric) 1.633213660011868 absolute error 4.624522986773627e-12 relative error 2.8315480699120086e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.770070467876632 y[1] (closed_form) 1.6196736505290277 y[1] (numeric) 1.61967365052437 absolute error 4.657607632907457e-12 relative error 2.8756457397366195e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.77999731860587 y[1] (closed_form) 1.606171118991898 y[1] (numeric) 1.6061711189872059 absolute error 4.6920245466708366e-12 relative error 2.9212482351293637e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.79009832461106 y[1] (closed_form) 1.592471544666173 y[1] (numeric) 1.5924715446614488 absolute error 4.724221014384966e-12 relative error 2.9665968162560146e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.8000251753402985 y[1] (closed_form) 1.5790486728326798 y[1] (numeric) 1.5790486728279227 absolute error 4.757083615913871e-12 relative error 3.0126263349311867e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.810126181345488 y[1] (closed_form) 1.5654328991341955 y[1] (numeric) 1.5654328991294055 absolute error 4.789946217442775e-12 relative error 3.0598221233832403e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.820053032074727 y[1] (closed_form) 1.5520950709402146 y[1] (numeric) 1.5520950709353922 absolute error 4.82236472976183e-12 relative error 3.107003443313933e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.830154038079916 y[1] (closed_form) 1.5385685591781009 y[1] (numeric) 1.5385685591732454 absolute error 4.85544937589566e-12 relative error 3.1558225643772596e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.840080888809155 y[1] (closed_form) 1.5253211244483653 y[1] (numeric) 1.5253211244434781 absolute error 4.887201754399939e-12 relative error 3.20404777463985e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.850007739538393 y[1] (closed_form) 1.5121204653137157 y[1] (numeric) 1.5121204653087967 absolute error 4.9189541329042186e-12 relative error 3.253017365837778e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.860108745543583 y[1] (closed_form) 1.4987375724309195 y[1] (numeric) 1.4987375724259682 absolute error 4.951372645223273e-12 relative error 3.3036955477083654e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.870035596272821 y[1] (closed_form) 1.4856352399128667 y[1] (numeric) 1.4856352399078836 absolute error 4.983125023727553e-12 relative error 3.3542049150771464e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.880136602278011 y[1] (closed_form) 1.4723550775941296 y[1] (numeric) 1.4723550775891145 absolute error 5.015099446836757e-12 relative error 3.40617526516197e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.890063453007249 y[1] (closed_form) 1.4593563270597052 y[1] (numeric) 1.459356327054658 absolute error 5.047295914550887e-12 relative error 3.4585767855066085e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.899990303736487 y[1] (closed_form) 1.4464108523941548 y[1] (numeric) 1.446410852389075 absolute error 5.079714426869941e-12 relative error 3.5119443541659014e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.910091309741677 y[1] (closed_form) 1.433294267269216 y[1] (numeric) 1.433294267264104 absolute error 5.111910894584071e-12 relative error 3.5665466689708735e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.9200181604709154 y[1] (closed_form) 1.420460156603352 y[1] (numeric) 1.4204601565982087 absolute error 5.1432191838785e-12 relative error 3.6208120023423426e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.930119166476105 y[1] (closed_form) 1.407459514076265 y[1] (numeric) 1.4074595140710904 absolute error 5.17452747317293e-12 relative error 3.676501825751658e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.9400460172053435 y[1] (closed_form) 1.3947419151928941 y[1] (numeric) 1.394741915187688 absolute error 5.206057807072284e-12 relative error 3.732631643433675e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.950147023210533 y[1] (closed_form) 1.381862429842669 y[1] (numeric) 1.3818624298374322 absolute error 5.236699962551938e-12 relative error 3.789595729256609e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.960073873939772 y[1] (closed_form) 1.3692664437915327 y[1] (numeric) 1.3692664437862652 absolute error 5.267564162636518e-12 relative error 3.8469971907370363e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.97000072466901 y[1] (closed_form) 1.356732611206564 y[1] (numeric) 1.3567326112012656 absolute error 5.298428362721097e-12 relative error 3.905285624415794e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.9801017306742 y[1] (closed_form) 1.3440439606525698 y[1] (numeric) 1.3440439606472407 absolute error 5.329070518200751e-12 relative error 3.964952541889585e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 5.990028581403438 y[1] (closed_form) 1.3316392786332096 y[1] (numeric) 1.3316392786278497 absolute error 5.359934718285331e-12 relative error 4.025065048987404e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.000129587408628 y[1] (closed_form) 1.3190845825553013 y[1] (numeric) 1.3190845825499113 absolute error 5.38991073995021e-12 relative error 4.086099414117171e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.010056438137866 y[1] (closed_form) 1.3068140266398236 y[1] (numeric) 1.3068140266344042 absolute error 5.419442672405239e-12 relative error 4.147064970170322e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.019983288867104 y[1] (closed_form) 1.2946117783488875 y[1] (numeric) 1.2946117783434383 absolute error 5.449196649465193e-12 relative error 4.209135696583071e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.030084294872294 y[1] (closed_form) 1.282266812675639 y[1] (numeric) 1.2822668126701604 absolute error 5.4785065373152975e-12 relative error 4.2725168296944257e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.040011145601532 y[1] (closed_form) 1.2702060311493237 y[1] (numeric) 1.2702060311438153 absolute error 5.508482558980177e-12 relative error 4.336684304668214e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.050112151606722 y[1] (closed_form) 1.2580074826683798 y[1] (numeric) 1.258007482662842 absolute error 5.537792446830281e-12 relative error 4.4020345849485574e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.0600390023359605 y[1] (closed_form) 1.2460930055059083 y[1] (numeric) 1.2460930055003414 absolute error 5.56688029007546e-12 relative error 4.467467729517775e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.07014000834115 y[1] (closed_form) 1.2340457670750433 y[1] (numeric) 1.2340457670694465 absolute error 5.596856311740339e-12 relative error 4.5353717512488256e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.080066859070389 y[1] (closed_form) 1.222282373192719 y[1] (numeric) 1.2222823731870933 absolute error 5.625722110380593e-12 relative error 4.602637028697114e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.089993709799627 y[1] (closed_form) 1.210595616815614 y[1] (numeric) 1.2105956168099599 absolute error 5.654143819810997e-12 relative error 4.670547077217924e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.100094715804817 y[1] (closed_form) 1.1987836846933728 y[1] (numeric) 1.19878368468769 absolute error 5.682787573846326e-12 relative error 4.740461224495127e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.110021566534055 y[1] (closed_form) 1.1872550455103 y[1] (numeric) 1.1872550455045887 absolute error 5.71120928327673e-12 relative error 4.810431680096139e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.120122572539245 y[1] (closed_form) 1.1756063653703128 y[1] (numeric) 1.1756063653645736 absolute error 5.739186903497284e-12 relative error 4.881895056505121e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.130049423268483 y[1] (closed_form) 1.1642404675373297 y[1] (numeric) 1.1642404675315623 absolute error 5.767386568322763e-12 relative error 4.953776070438679e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.140150429273673 y[1] (closed_form) 1.1527597116842787 y[1] (numeric) 1.1527597116784833 absolute error 5.795364188543317e-12 relative error 5.027382662494166e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.150077280002911 y[1] (closed_form) 1.1415611140816213 y[1] (numeric) 1.1415611140757982 absolute error 5.823119764158946e-12 relative error 5.101014472487187e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.160004130732149 y[1] (closed_form) 1.1304471083826735 y[1] (numeric) 1.1304471083768237 absolute error 5.84976511674995e-12 relative error 5.174735795573123e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.170105136737339 y[1] (closed_form) 1.1192260818689892 y[1] (numeric) 1.1192260818631126 absolute error 5.876632513945879e-12 relative error 5.250621486708497e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.1800319874665774 y[1] (closed_form) 1.108286069105038 y[1] (numeric) 1.1082860690991352 absolute error 5.902833777327032e-12 relative error 5.326092190343674e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.190132993471767 y[1] (closed_form) 1.0972443295174343 y[1] (numeric) 1.0972443295115042 absolute error 5.930145263732811e-12 relative error 5.404580460525939e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.2000598442010055 y[1] (closed_form) 1.0864826977455164 y[1] (numeric) 1.0864826977395607 absolute error 5.95568039329919e-12 relative error 5.481615497105846e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.209986694930244 y[1] (closed_form) 1.075811085390166 y[1] (numeric) 1.0758110853841842 absolute error 5.9816596120754184e-12 relative error 5.560139408589605e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.220087700935434 y[1] (closed_form) 1.06504573967207 y[1] (numeric) 1.0650457396660624 absolute error 6.007638830851647e-12 relative error 5.640733169545763e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.230014551664672 y[1] (closed_form) 1.0545589372480906 y[1] (numeric) 1.054558937242057 absolute error 6.033618049627876e-12 relative error 5.721461206684966e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.240115557669862 y[1] (closed_form) 1.0439837932836913 y[1] (numeric) 1.0439837932776317 absolute error 6.059597268404104e-12 relative error 5.804302047012213e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.2500424083991 y[1] (closed_form) 1.0336860070647103 y[1] (numeric) 1.0336860070586256 absolute error 6.084688308760633e-12 relative error 5.886399029468262e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.26014341440429 y[1] (closed_form) 1.0233053065615716 y[1] (numeric) 1.023305306555461 absolute error 6.110667527536862e-12 relative error 5.9714998919232e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.270070265133528 y[1] (closed_form) 1.0132006670065066 y[1] (numeric) 1.0132006670003713 absolute error 6.13531447868354e-12 relative error 6.055379431214035e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.279997115862766 y[1] (closed_form) 1.0031932681933586 y[1] (numeric) 1.0031932681871993 absolute error 6.1592952960154435e-12 relative error 6.13968962043342e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.290098121867956 y[1] (closed_form) 0.9931111337769275 y[1] (numeric) 0.9931111337707432 absolute error 6.1842753140695095e-12 relative error 6.227173479114997e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.300024972597194 y[1] (closed_form) 0.9833029142690379 y[1] (numeric) 0.9833029142628302 absolute error 6.2077010198891e-12 relative error 6.31311158525727e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.310125978602384 y[1] (closed_form) 0.9734254653206537 y[1] (numeric) 0.9734254653144224 absolute error 6.231237748011154e-12 relative error 6.401350663205156e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.3200528293316225 y[1] (closed_form) 0.9638203592109307 y[1] (numeric) 0.9638203592046759 absolute error 6.254774476133207e-12 relative error 6.489564591947325e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.330153835336812 y[1] (closed_form) 0.9541515575915438 y[1] (numeric) 0.9541515575852654 absolute error 6.278422226557723e-12 relative error 6.580110021939942e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.340080686066051 y[1] (closed_form) 0.9447534175037794 y[1] (numeric) 0.9447534174974778 absolute error 6.3016258877723885e-12 relative error 6.670127644970577e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.350007536795289 y[1] (closed_form) 0.9354592630564147 y[1] (numeric) 0.9354592630500904 absolute error 6.324274437474742e-12 relative error 6.760609133113416e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.360108542800479 y[1] (closed_form) 0.9261097369291293 y[1] (numeric) 0.926109736922782 absolute error 6.347367076386945e-12 relative error 6.853795855158662e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.370035393529717 y[1] (closed_form) 0.9170281552904015 y[1] (numeric) 0.9170281552840318 absolute error 6.369682559181911e-12 relative error 6.946005444254632e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.380136399534907 y[1] (closed_form) 0.9078967954977943 y[1] (numeric) 0.9078967954914022 absolute error 6.392109064279339e-12 relative error 7.040567932365686e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.390063250264145 y[1] (closed_form) 0.8990314293049716 y[1] (numeric) 0.8990314292985581 absolute error 6.413536368654604e-12 relative error 7.133828873605473e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.399990100993383 y[1] (closed_form) 0.8902745542684178 y[1] (numeric) 0.8902745542619833 absolute error 6.43451958382002e-12 relative error 7.227567667715247e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.410091106998573 y[1] (closed_form) 0.8814763036163926 y[1] (numeric) 0.8814763036099367 absolute error 6.455946888195285e-12 relative error 7.324016382186074e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.420017957727811 y[1] (closed_form) 0.8729409298480484 y[1] (numeric) 0.8729409298415712 absolute error 6.477152147965626e-12 relative error 7.419920325070673e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.430118963733001 y[1] (closed_form) 0.8643698196143299 y[1] (numeric) 0.8643698196078319 absolute error 6.498024340828579e-12 relative error 7.517643713807486e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.4400458144622394 y[1] (closed_form) 0.8560593706665925 y[1] (numeric) 0.8560593706600742 absolute error 6.518341422179219e-12 relative error 7.614356720496553e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.450146820467429 y[1] (closed_form) 0.8477188387375328 y[1] (numeric) 0.8477188387309942 absolute error 6.5386585035298594e-12 relative error 7.713239584562696e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.4600736711966675 y[1] (closed_form) 0.8396366479450861 y[1] (numeric) 0.8396366479385275 absolute error 6.55853149567065e-12 relative error 7.81115439841972e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.470000521925906 y[1] (closed_form) 0.8316688011630926 y[1] (numeric) 0.8316688011565145 absolute error 6.5780714209040525e-12 relative error 7.909484414594595e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.480101527931096 y[1] (closed_form) 0.8236793488645094 y[1] (numeric) 0.823679348857912 absolute error 6.59738930153253e-12 relative error 8.009657290336853e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.490028378660334 y[1] (closed_form) 0.8159445744748544 y[1] (numeric) 0.815944574468238 absolute error 6.61637411525362e-12 relative error 8.108852392960575e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.500129384665524 y[1] (closed_form) 0.8081938739236587 y[1] (numeric) 0.8081938739170235 absolute error 6.635247906672248e-12 relative error 8.209970553796858e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.510056235394762 y[1] (closed_form) 0.8006952743570174 y[1] (numeric) 0.8006952743503636 absolute error 6.653788631183488e-12 relative error 8.310013614763348e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.519983086124 y[1] (closed_form) 0.7933148561443826 y[1] (numeric) 0.7933148561377108 absolute error 6.671774244182416e-12 relative error 8.409995341078245e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.53008409212919 y[1] (closed_form) 0.7859270173288339 y[1] (numeric) 0.7859270173221444 absolute error 6.689426790273956e-12 relative error 8.511511428897834e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.540010942858428 y[1] (closed_form) 0.7787872369268098 y[1] (numeric) 0.7787872369201031 absolute error 6.706746269458108e-12 relative error 8.611782463107323e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.550111948863618 y[1] (closed_form) 0.7716457269623851 y[1] (numeric) 0.7716457269556606 absolute error 6.724509837852111e-12 relative error 8.714504082493164e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.560038799592856 y[1] (closed_form) 0.7647494481485846 y[1] (numeric) 0.7647494481418433 absolute error 6.7412742055239505e-12 relative error 8.815010225694437e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.570139805598046 y[1] (closed_form) 0.7578571315066267 y[1] (numeric) 0.7578571314998687 absolute error 6.75803857319579e-12 relative error 8.917298910628116e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.5800666563272845 y[1] (closed_form) 0.7512071203897766 y[1] (numeric) 0.751207120383002 absolute error 6.774580896262705e-12 relative error 9.018259694806406e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.589993507056523 y[1] (closed_form) 0.7446801672666377 y[1] (numeric) 0.7446801672598472 absolute error 6.790457085514845e-12 relative error 9.118622173649854e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.600094513061713 y[1] (closed_form) 0.7381656855002288 y[1] (numeric) 0.7381656854934224 absolute error 6.806333274766985e-12 relative error 9.220603732283455e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.610021363790951 y[1] (closed_form) 0.7318889525276797 y[1] (numeric) 0.7318889525208581 absolute error 6.821654352506812e-12 relative error 9.320613911369047e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.620122369796141 y[1] (closed_form) 0.7256303744208352 y[1] (numeric) 0.7256303744139986 absolute error 6.8366423633392515e-12 relative error 9.42165957261084e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.630049220525379 y[1] (closed_form) 0.7196063792067502 y[1] (numeric) 0.7196063791998989 absolute error 6.8512973072643035e-12 relative error 9.52089573582818e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.640150226530569 y[1] (closed_form) 0.7136062150853992 y[1] (numeric) 0.7136062150785333 absolute error 6.8659522511893556e-12 relative error 9.62148606058271e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.650077077259807 y[1] (closed_form) 0.707837373864125 y[1] (numeric) 0.7078373738572448 absolute error 6.88027412820702e-12 relative error 9.720134005707e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.660003927989045 y[1] (closed_form) 0.7021958643588768 y[1] (numeric) 0.7021958643519827 absolute error 6.8941519160148346e-12 relative error 9.81798991697192e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.670104933994235 y[1] (closed_form) 0.6965866570671221 y[1] (numeric) 0.6965866570602143 absolute error 6.907807659217724e-12 relative error 9.916652277409468e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.680031784723473 y[1] (closed_form) 0.691203724109488 y[1] (numeric) 0.6912037241025675 absolute error 6.920575224000913e-12 relative error 1.0012352339271657e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.690132790728663 y[1] (closed_form) 0.6858587414966748 y[1] (numeric) 0.6858587414897418 absolute error 6.933009721876715e-12 relative error 1.0108509671754804e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.7000596414579014 y[1] (closed_form) 0.6807365441898803 y[1] (numeric) 0.6807365441829352 absolute error 6.945111152845129e-12 relative error 1.0202348048040013e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.70998649218714 y[1] (closed_form) 0.6757443491570415 y[1] (numeric) 0.6757443491500844 absolute error 6.957101561511081e-12 relative error 1.0295463913519559e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.7200874981923295 y[1] (closed_form) 0.6707985230030624 y[1] (numeric) 0.6707985229960928 absolute error 6.969647081689345e-12 relative error 1.0390075175609064e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.730014348921568 y[1] (closed_form) 0.666070097450865 y[1] (numeric) 0.666070097443884 absolute error 6.980971356540522e-12 relative error 1.0480835850847514e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.740115354926758 y[1] (closed_form) 0.6613936467056084 y[1] (numeric) 0.6613936466986156 absolute error 6.992850742904011e-12 relative error 1.0572902805666934e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.750042205655996 y[1] (closed_form) 0.6569308872132855 y[1] (numeric) 0.6569308872062822 absolute error 7.0032868393354875e-12 relative error 1.0660614344141398e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.760143211661186 y[1] (closed_form) 0.6525256876088044 y[1] (numeric) 0.6525256876017905 absolute error 7.0138339580694264e-12 relative error 1.074874766045117e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.770070062390424 y[1] (closed_form) 0.6483303841964976 y[1] (numeric) 0.6483303841894736 absolute error 7.023936987593515e-12 relative error 1.0833885251727894e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.779996913119662 y[1] (closed_form) 0.6442682764115828 y[1] (numeric) 0.6442682764045485 absolute error 7.034262061722529e-12 relative error 1.0918218883757018e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.790097919124852 y[1] (closed_form) 0.6402720380763471 y[1] (numeric) 0.6402720380693037 absolute error 7.043476912826918e-12 relative error 1.1000756700212233e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.80002476985409 y[1] (closed_form) 0.636479863196485 y[1] (numeric) 0.6364798631894323 absolute error 7.052691763931307e-12 relative error 1.1080777526113344e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.81012577585928 y[1] (closed_form) 0.6327590810686605 y[1] (numeric) 0.632759081061599 absolute error 7.061573548128308e-12 relative error 1.115997187460682e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.820052626588518 y[1] (closed_form) 0.6292383601414057 y[1] (numeric) 0.629238360134336 absolute error 7.069678176208072e-12 relative error 1.1235294324108494e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.830153632593708 y[1] (closed_form) 0.6257945266327978 y[1] (numeric) 0.6257945266257192 absolute error 7.078559960405073e-12 relative error 1.1311316509098543e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.8400804833229465 y[1] (closed_form) 0.622546671825081 y[1] (numeric) 0.6225466718179945 absolute error 7.086553566182374e-12 relative error 1.1383168342073324e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.850007334052185 y[1] (closed_form) 0.6194345534118972 y[1] (numeric) 0.6194345534048031 absolute error 7.094103082749825e-12 relative error 1.1452546590555713e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.860108340057375 y[1] (closed_form) 0.6164074822946537 y[1] (numeric) 0.6164074822875524 absolute error 7.101319532409889e-12 relative error 1.1520495348262713e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.870035190786613 y[1] (closed_form) 0.6135701376861803 y[1] (numeric) 0.613570137679072 absolute error 7.108313937465027e-12 relative error 1.1585169324359592e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.880136196791803 y[1] (closed_form) 0.6108232539890992 y[1] (numeric) 0.610823253981984 absolute error 7.115197320217703e-12 relative error 1.1648537074760223e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.890063047521041 y[1] (closed_form) 0.6082618212489058 y[1] (numeric) 0.6082618212417847 absolute error 7.1210815022482166e-12 relative error 1.170726363792971e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.899989898250279 y[1] (closed_form) 0.6058375325546511 y[1] (numeric) 0.6058375325475241 absolute error 7.12696568427873e-12 relative error 1.1763823304618098e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.910090904255469 y[1] (closed_form) 0.6035117332744904 y[1] (numeric) 0.6035117332673579 absolute error 7.132516799401856e-12 relative error 1.1818356472877107e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.920017754984707 y[1] (closed_form) 0.6013648519244438 y[1] (numeric) 0.6013648519173065 absolute error 7.137290758407744e-12 relative error 1.1868486719114874e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.930118760989897 y[1] (closed_form) 0.5993217790309998 y[1] (numeric) 0.5993217790238579 absolute error 7.1419536951111695e-12 relative error 1.191672644811687e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.940045611719135 y[1] (closed_form) 0.597453166142787 y[1] (numeric) 0.5974531661356401 absolute error 7.14683867641952e-12 relative error 1.1962173909898533e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.950146617724325 y[1] (closed_form) 0.5956936391159441 y[1] (numeric) 0.595693639108793 absolute error 7.151057523913096e-12 relative error 1.2004589363293898e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.9600734684535634 y[1] (closed_form) 0.5941040441932547 y[1] (numeric) 0.5941040441860996 absolute error 7.155054326801746e-12 relative error 1.2043436493548419e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.970000319182802 y[1] (closed_form) 0.5926529884458872 y[1] (numeric) 0.592652988438729 absolute error 7.158162951270697e-12 relative error 1.2078168997412016e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.9801013251879915 y[1] (closed_form) 0.5913188294141457 y[1] (numeric) 0.5913188294069843 absolute error 7.16138259804211e-12 relative error 1.2110865140447686e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 6.99002817591723 y[1] (closed_form) 0.5901477036808275 y[1] (numeric) 0.5901477036736632 absolute error 7.164269177906135e-12 relative error 1.2139789976681537e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.00012918192242 y[1] (closed_form) 0.5890986389596696 y[1] (numeric) 0.5890986389525027 absolute error 7.1669337131652355e-12 relative error 1.2165931542163846e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.010056032651658 y[1] (closed_form) 0.58820791298085 y[1] (numeric) 0.5882079129736808 absolute error 7.169154159214486e-12 relative error 1.2188129402890044e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.019982883380896 y[1] (closed_form) 0.5874563071912976 y[1] (numeric) 0.5874563071841261 absolute error 7.171485627566199e-12 relative error 1.2207691941982839e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.030083889386086 y[1] (closed_form) 0.5868343943991821 y[1] (numeric) 0.5868343943920092 absolute error 7.172817895195749e-12 relative error 1.2222899618110294e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.040010740115324 y[1] (closed_form) 0.5863636809844357 y[1] (numeric) 0.5863636809772617 absolute error 7.1740391405228365e-12 relative error 1.223479450241268e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.050111746120514 y[1] (closed_form) 0.5860276988563758 y[1] (numeric) 0.5860276988492015 absolute error 7.174372207430224e-12 relative error 1.2242377316688105e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.060038596849752 y[1] (closed_form) 0.5858380666203573 y[1] (numeric) 0.5858380666131823 absolute error 7.175038341244999e-12 relative error 1.2247477161457082e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.070139602854942 y[1] (closed_form) 0.5857881499193353 y[1] (numeric) 0.5857881499121601 absolute error 7.175149363547462e-12 relative error 1.2248710330749266e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.08006645358418 y[1] (closed_form) 0.5858796749238449 y[1] (numeric) 0.58587967491667 absolute error 7.174816296640074e-12 relative error 1.2246228370309461e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.089993304313419 y[1] (closed_form) 0.5861105495458226 y[1] (numeric) 0.5861105495386484 absolute error 7.1742611851277616e-12 relative error 1.2240457351752327e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.1000943103186085 y[1] (closed_form) 0.5864884892057394 y[1] (numeric) 0.5864884891985663 absolute error 7.173039939800674e-12 relative error 1.223048716525514e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.110021161047847 y[1] (closed_form) 0.5870004243639094 y[1] (numeric) 0.5870004243567376 absolute error 7.171818694473586e-12 relative error 1.2217740220963513e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.120122167053037 y[1] (closed_form) 0.5876642652696352 y[1] (numeric) 0.5876642652624652 absolute error 7.170042337634186e-12 relative error 1.2200916001493454e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.130049017782275 y[1] (closed_form) 0.5884570556259673 y[1] (numeric) 0.5884570556187995 absolute error 7.167821891584936e-12 relative error 1.218070515606311e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.140150023787465 y[1] (closed_form) 0.589406531509828 y[1] (numeric) 0.5894065315026625 absolute error 7.165490423233223e-12 relative error 1.2157127619332704e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.150076874516703 y[1] (closed_form) 0.5904798590748115 y[1] (numeric) 0.590479859067649 absolute error 7.162492821066735e-12 relative error 1.2129952801928296e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.160003725245941 y[1] (closed_form) 0.5916920829479582 y[1] (numeric) 0.5916920829407988 absolute error 7.1593841965977845e-12 relative error 1.209984788190496e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.170104731251131 y[1] (closed_form) 0.5930680233606657 y[1] (numeric) 0.5930680233535094 absolute error 7.156275572128834e-12 relative error 1.206653417524898e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.180031581980369 y[1] (closed_form) 0.5945600988872836 y[1] (numeric) 0.5945600988801311 absolute error 7.1525008138451085e-12 relative error 1.2029903835173232e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.190132587985559 y[1] (closed_form) 0.5962205103665961 y[1] (numeric) 0.5962205103594476 absolute error 7.148504010956458e-12 relative error 1.1989698252012634e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.200059438714797 y[1] (closed_form) 0.5979918390727472 y[1] (numeric) 0.5979918390656033 absolute error 7.143952096555495e-12 relative error 1.1946571223501958e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.209986289444036 y[1] (closed_form) 0.599901323844863 y[1] (numeric) 0.5999013238377239 absolute error 7.139178137549607e-12 relative error 1.1900587402930667e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.2200872954492255 y[1] (closed_form) 0.601985927027741 y[1] (numeric) 0.6019859270206074 absolute error 7.133627022426481e-12 relative error 1.185015579624629e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.230014146178464 y[1] (closed_form) 0.6041735609129023 y[1] (numeric) 0.6041735609057738 absolute error 7.128519996513205e-12 relative error 1.1798795011390533e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.2401151521836535 y[1] (closed_form) 0.6065407607170444 y[1] (numeric) 0.6065407607099218 absolute error 7.122635814482692e-12 relative error 1.1743045605150107e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.250042002912892 y[1] (closed_form) 0.6090056662517175 y[1] (numeric) 0.6090056662446005 absolute error 7.1169736770571035e-12 relative error 1.1686219146137596e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.260143008918082 y[1] (closed_form) 0.6116545131894051 y[1] (numeric) 0.6116545131822946 absolute error 7.1105343835142776e-12 relative error 1.1625082837102237e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.27006985964732 y[1] (closed_form) 0.6143957016959425 y[1] (numeric) 0.6143957016888385 absolute error 7.103984067668989e-12 relative error 1.1562554959384581e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.279996710376558 y[1] (closed_form) 0.6172734298062942 y[1] (numeric) 0.6172734297991974 absolute error 7.096767618008926e-12 relative error 1.1496959492061651e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.290097716381748 y[1] (closed_form) 0.6203415052935335 y[1] (numeric) 0.6203415052864442 absolute error 7.089329123743937e-12 relative error 1.142810703983027e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.300024567110986 y[1] (closed_form) 0.6234938309718111 y[1] (numeric) 0.6234938309647292 absolute error 7.0818906294789485e-12 relative error 1.135839727305839e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.310125573116176 y[1] (closed_form) 0.6268406921729295 y[1] (numeric) 0.6268406921658559 absolute error 7.07356395679426e-12 relative error 1.128446835873706e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.320052423845414 y[1] (closed_form) 0.6302663510161404 y[1] (numeric) 0.6302663510090751 absolute error 7.065237284109571e-12 relative error 1.1209923031300522e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.330153429850604 y[1] (closed_form) 0.6338906554996288 y[1] (numeric) 0.6338906554925721 absolute error 7.0566885668199575e-12 relative error 1.113234357628749e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.340080280579842 y[1] (closed_form) 0.6375882734704008 y[1] (numeric) 0.637588273463353 absolute error 7.047806782622956e-12 relative error 1.105385258148124e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.350007131309081 y[1] (closed_form) 0.641420145612872 y[1] (numeric) 0.6414201456058342 absolute error 7.03781477540133e-12 relative error 1.0972238436129494e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.3601081373142705 y[1] (closed_form) 0.6454566614995038 y[1] (numeric) 0.6454566614924758 absolute error 7.027933790482166e-12 relative error 1.0888312430078731e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.370034988043509 y[1] (closed_form) 0.6495582342857111 y[1] (numeric) 0.6495582342786932 absolute error 7.0179417832605395e-12 relative error 1.0804176458447706e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.380135994048699 y[1] (closed_form) 0.6538683590801242 y[1] (numeric) 0.6538683590731166 absolute error 7.0076167091315256e-12 relative error 1.07171674723487e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.390062844777937 y[1] (closed_form) 0.6582379873625056 y[1] (numeric) 0.6582379873555085 absolute error 6.9970695903975866e-12 relative error 1.0629999672966538e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.399989695507175 y[1] (closed_form) 0.6627398349616447 y[1] (numeric) 0.6627398349546585 absolute error 6.98618940475626e-12 relative error 1.0541375417942967e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.410090701512365 y[1] (closed_form) 0.667455923380081 y[1] (numeric) 0.6674559233731064 absolute error 6.974532062997696e-12 relative error 1.044942717367431e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.420017552241603 y[1] (closed_form) 0.6722231654605736 y[1] (numeric) 0.672223165453611 absolute error 6.962541654331744e-12 relative error 1.0357485448394745e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.430118558246793 y[1] (closed_form) 0.6772083450092038 y[1] (numeric) 0.6772083450022531 absolute error 6.950662267968255e-12 relative error 1.0263698489825594e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.440045408976031 y[1] (closed_form) 0.6822390694224436 y[1] (numeric) 0.6822390694155054 absolute error 6.938227770092453e-12 relative error 1.0169789566531392e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.450146414981221 y[1] (closed_form) 0.6874913405375859 y[1] (numeric) 0.6874913405306603 absolute error 6.9255712276117265e-12 relative error 1.0073685033176208e-09% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.460073265710459 y[1] (closed_form) 0.6927835294517716 y[1] (numeric) 0.6927835294448584 absolute error 6.913136729735925e-12 relative error 9.978783322413247e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.470000116439698 y[1] (closed_form) 0.6982045335112381 y[1] (numeric) 0.698204533504338 absolute error 6.9001471203478104e-12 relative error 9.882701685775786e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.4801011224448875 y[1] (closed_form) 0.7038523161483704 y[1] (numeric) 0.7038523161414837 absolute error 6.886713421749846e-12 relative error 9.784315919332919e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.490027973174126 y[1] (closed_form) 0.7095315712676756 y[1] (numeric) 0.7095315712608029 absolute error 6.872724611639569e-12 relative error 9.686284430389055e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.5001289791793155 y[1] (closed_form) 0.7154409898037679 y[1] (numeric) 0.7154409897969098 absolute error 6.858069667714517e-12 relative error 9.58579360905161e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.510055829908554 y[1] (closed_form) 0.7213762180243822 y[1] (numeric) 0.7213762180175392 absolute error 6.843081656882077e-12 relative error 9.486148123406507e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.519982680637792 y[1] (closed_form) 0.72743744382225 y[1] (numeric) 0.7274374438154213 absolute error 6.82864875756195e-12 relative error 9.387265964316428e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.530083686642982 y[1] (closed_form) 0.7337337228741446 y[1] (numeric) 0.7337337228673319 absolute error 6.8127725683098106e-12 relative error 9.285074892868714e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.54001053737222 y[1] (closed_form) 0.7400473234158028 y[1] (numeric) 0.7400473234090056 absolute error 6.797229445965058e-12 relative error 9.18485782043153e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.55011154337741 y[1] (closed_form) 0.7465991292015288 y[1] (numeric) 0.7465991291947476 absolute error 6.781242234410456e-12 relative error 9.082842410575598e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.560038394106648 y[1] (closed_form) 0.7531625720914601 y[1] (numeric) 0.7531625720846954 absolute error 6.764699911343541e-12 relative error 8.981726073507105e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.570139400111838 y[1] (closed_form) 0.759967276670986 y[1] (numeric) 0.7599672766642377 absolute error 6.748268610579089e-12 relative error 8.879683136015643e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.580066250841076 y[1] (closed_form) 0.766777929301498 y[1] (numeric) 0.7667779292947663 absolute error 6.731726287512174e-12 relative error 8.779238460403379e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.589993101570315 y[1] (closed_form) 0.7737101055539801 y[1] (numeric) 0.7737101055472659 absolute error 6.714184763723097e-12 relative error 8.677907546413277e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.600094107575504 y[1] (closed_form) 0.7808879339038401 y[1] (numeric) 0.7808879338971432 absolute error 6.696976306841407e-12 relative error 8.576104221974166e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.610020958304743 y[1] (closed_form) 0.7880631977111672 y[1] (numeric) 0.7880631977044877 absolute error 6.679434783052329e-12 relative error 8.475760322842036e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.6201219643099325 y[1] (closed_form) 0.7954869263525317 y[1] (numeric) 0.7954869263458704 absolute error 6.661338147750939e-12 relative error 8.373912791118418e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.630048815039171 y[1] (closed_form) 0.802902399704639 y[1] (numeric) 0.8029023996979957 absolute error 6.643241512449549e-12 relative error 8.27403369935546e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.640149821044361 y[1] (closed_form) 0.8105690509677919 y[1] (numeric) 0.8105690509611676 absolute error 6.624256698728459e-12 relative error 8.172353349562658e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.650076671773599 y[1] (closed_form) 0.8182217595061727 y[1] (numeric) 0.8182217594995672 absolute error 6.605493929612294e-12 relative error 8.072987369095336e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.660003522502837 y[1] (closed_form) 0.8259909223114394 y[1] (numeric) 0.8259909223048535 absolute error 6.585954004378891e-12 relative error 7.973397559804731e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.670104528508027 y[1] (closed_form) 0.834015132495462 y[1] (numeric) 0.8340151324888959 absolute error 6.566081012238101e-12 relative error 7.872855966763683e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.680031379237265 y[1] (closed_form) 0.8420169046695224 y[1] (numeric) 0.842016904662976 absolute error 6.5464300647022355e-12 relative error 7.774701467866136e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.690132385242455 y[1] (closed_form) 0.850276183924735 y[1] (numeric) 0.850276183918209 absolute error 6.526001961049133e-12 relative error 7.675155537023489e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.700059235971693 y[1] (closed_form) 0.8585073559436649 y[1] (numeric) 0.8585073559371592 absolute error 6.505684879698492e-12 relative error 7.577902314590527e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.7099860867009316 y[1] (closed_form) 0.8668510124241159 y[1] (numeric) 0.8668510124176303 absolute error 6.485589842952777e-12 relative error 7.481781471092791e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.720087092706121 y[1] (closed_form) 0.875455661786853 y[1] (numeric) 0.8754556617803887 absolute error 6.464273560879974e-12 relative error 7.38389600186723e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.73001394343536 y[1] (closed_form) 0.8840237464631633 y[1] (numeric) 0.88402374645672 absolute error 6.4432903457145585e-12 relative error 7.288594193869933e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.7401149494405495 y[1] (closed_form) 0.8928550242058555 y[1] (numeric) 0.892855024199434 absolute error 6.4215299744319054e-12 relative error 7.192130637494589e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.750041800169788 y[1] (closed_form) 0.9016441004052288 y[1] (numeric) 0.9016441003988288 absolute error 6.399991647754177e-12 relative error 7.09813511215546e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.7601428061749775 y[1] (closed_form) 0.9106984642879097 y[1] (numeric) 0.9106984642815319 absolute error 6.377787187261674e-12 relative error 7.003182104022293e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.770069656904216 y[1] (closed_form) 0.9197050066974879 y[1] (numeric) 0.919705006691132 absolute error 6.355915793676559e-12 relative error 6.91082004272177e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.779996507633454 y[1] (closed_form) 0.9288180030568468 y[1] (numeric) 0.9288180030505133 absolute error 6.3334892885791305e-12 relative error 6.818870077598506e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.790097513638644 y[1] (closed_form) 0.9381992210808469 y[1] (numeric) 0.9381992210745366 absolute error 6.310285627364465e-12 relative error 6.725954877786765e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.800024364367882 y[1] (closed_form) 0.9475242486628338 y[1] (numeric) 0.9475242486565463 absolute error 6.287526055359649e-12 relative error 6.635741580474313e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.810125370373072 y[1] (closed_form) 0.9571193254956274 y[1] (numeric) 0.9571193254893633 absolute error 6.264100349540058e-12 relative error 6.544743359242386e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.82005222110231 y[1] (closed_form) 0.9666526440164065 y[1] (numeric) 0.9666526440101659 absolute error 6.240563621418005e-12 relative error 6.455849120205879e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.8301532271075 y[1] (closed_form) 0.9764577310569614 y[1] (numeric) 0.9764577310507445 absolute error 6.216915870993489e-12 relative error 6.366804904359784e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.840080077836738 y[1] (closed_form) 0.9861955166868609 y[1] (numeric) 0.9861955166806674 absolute error 6.193490165173898e-12 relative error 6.28018487244905e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.850006928565977 y[1] (closed_form) 0.9960332041882151 y[1] (numeric) 0.9960332041820459 absolute error 6.169176280934607e-12 relative error 6.193745605060021e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.860107934571166 y[1] (closed_form) 1.0061450279959614 y[1] (numeric) 1.0061450279898165 absolute error 6.1448623966953164e-12 relative error 6.107332666479152e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.870034785300405 y[1] (closed_form) 1.0161813109087814 y[1] (numeric) 1.016181310902661 absolute error 6.120437490153563e-12 relative error 6.022977813555725e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.8801357913055945 y[1] (closed_form) 1.0264931761620493 y[1] (numeric) 1.0264931761559541 absolute error 6.0951244051921094e-12 relative error 5.9378128824793e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.890062642034833 y[1] (closed_form) 1.0367240289168218 y[1] (numeric) 1.0367240289107529 absolute error 6.068923141810956e-12 relative error 5.853942777955884e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.899989492764071 y[1] (closed_form) 1.0470498043848226 y[1] (numeric) 1.0470498043787788 absolute error 6.043832101454427e-12 relative error 5.772248918956996e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.910090498769261 y[1] (closed_form) 1.0576531184944988 y[1] (numeric) 1.0576531184884812 absolute error 6.0176308380732735e-12 relative error 5.689607237804947e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.920017349498499 y[1] (closed_form) 1.0681672978075993 y[1] (numeric) 1.0681672978016072 absolute error 5.992095708506895e-12 relative error 5.609697770008126e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.930118355503689 y[1] (closed_form) 1.0789601849497048 y[1] (numeric) 1.0789601849437391 absolute error 5.965672400520816e-12 relative error 5.529094107211104e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.940045206232927 y[1] (closed_form) 1.0896585508533634 y[1] (numeric) 1.089658550847424 absolute error 5.9394711371396625e-12 relative error 5.450763574046366e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.950146212238117 y[1] (closed_form) 1.1006366819831888 y[1] (numeric) 1.100636681977277 absolute error 5.9117155615240335e-12 relative error 5.371178026587279e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.960073062967355 y[1] (closed_form) 1.1115149433453198 y[1] (numeric) 1.111514943339435 absolute error 5.884848164328105e-12 relative error 5.294439089245632e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.9699999136965936 y[1] (closed_form) 1.1224807574075821 y[1] (numeric) 1.1224807574017241 absolute error 5.857980767132176e-12 relative error 5.218780570155551e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.980100919701783 y[1] (closed_form) 1.1337277086486441 y[1] (numeric) 1.1337277086428146 absolute error 5.829559057701772e-12 relative error 5.141939297444147e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 7.990027770431022 y[1] (closed_form) 1.14486686600047 y[1] (numeric) 1.144866865994668 absolute error 5.802025526691068e-12 relative error 5.067860463950824e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.000128776436211 y[1] (closed_form) 1.1562879371867938 y[1] (numeric) 1.1562879371810202 absolute error 5.773603817260664e-12 relative error 4.99322325484743e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.01005562716545 y[1] (closed_form) 1.1675959698939253 y[1] (numeric) 1.1675959698881793 absolute error 5.74607028624996e-12 relative error 4.921283076004436e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.02015663317064 y[1] (closed_form) 1.1791865800151529 y[1] (numeric) 1.179186580009435 absolute error 5.717870621424481e-12 relative error 4.848995670685978e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.030083483899878 y[1] (closed_form) 1.1906589524071518 y[1] (numeric) 1.1906589524014615 absolute error 5.690337090413777e-12 relative error 4.779149460817172e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.040010334629116 y[1] (closed_form) 1.2022110785254667 y[1] (numeric) 1.202211078519805 absolute error 5.661693336378448e-12 relative error 4.709400401901649e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.050111340634306 y[1] (closed_form) 1.214046562940091 y[1] (numeric) 1.2140465629344588 absolute error 5.632161403923419e-12 relative error 4.6391642428308963e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.060038191363544 y[1] (closed_form) 1.22575612250438 y[1] (numeric) 1.2257561224987763 absolute error 5.603739694493015e-12 relative error 4.571659559035155e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.070139197368734 y[1] (closed_form) 1.237749420683854 y[1] (numeric) 1.237749420678279 absolute error 5.574873895852761e-12 relative error 4.5040408039719827e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.080066048097972 y[1] (closed_form) 1.2496117169705983 y[1] (numeric) 1.249611716965052 absolute error 5.546230141817432e-12 relative error 4.438362786212517e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.08999289882721 y[1] (closed_form) 1.2615479576864965 y[1] (numeric) 1.2615479576809794 absolute error 5.517142298572253e-12 relative error 4.3733115851496634e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.1000939048324 y[1] (closed_form) 1.2737682934061114 y[1] (numeric) 1.2737682934006238 absolute error 5.487610366117224e-12 relative error 4.3081700137496096e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.110020755561639 y[1] (closed_form) 1.2858501324313623 y[1] (numeric) 1.285850132425904 absolute error 5.45830047826712e-12 relative error 4.244896306808507e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.120121761566828 y[1] (closed_form) 1.298216162568547 y[1] (numeric) 1.2982161625631192 absolute error 5.42788036739239e-12 relative error 4.1810297267083926e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.130048612296067 y[1] (closed_form) 1.3104387538577305 y[1] (numeric) 1.3104387538523314 absolute error 5.399014568752136e-12 relative error 4.120005267593214e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.140149618301256 y[1] (closed_form) 1.3229455183775451 y[1] (numeric) 1.3229455183721766 absolute error 5.368594457877407e-12 relative error 4.058061638442548e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.150076469030495 y[1] (closed_form) 1.335303959429277 y[1] (numeric) 1.3353039594239384 absolute error 5.338618436212528e-12 relative error 3.998054823782825e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.160003319759733 y[1] (closed_form) 1.3477279006632372 y[1] (numeric) 1.3477279006579304 absolute error 5.306866057708248e-12 relative error 3.937639085082872e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.170104325764923 y[1] (closed_form) 1.3604357756713223 y[1] (numeric) 1.3604357756660461 absolute error 5.276223902228594e-12 relative error 3.8783336902655195e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.180031176494161 y[1] (closed_form) 1.3729881331486027 y[1] (numeric) 1.3729881331433569 absolute error 5.245803791353865e-12 relative error 3.82072041607813e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.190132182499351 y[1] (closed_form) 1.3858241221712118 y[1] (numeric) 1.3858241221659977 absolute error 5.214051412849585e-12 relative error 3.7624192921974664e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.20005903322859 y[1] (closed_form) 1.3984998611206694 y[1] (numeric) 1.3984998611154862 absolute error 5.183187212765006e-12 relative error 3.7062479281274485e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.209985883957827 y[1] (closed_form) 1.411234872829859 y[1] (numeric) 1.411234872824707 absolute error 5.1518789234705764e-12 relative error 3.6506176417961125e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.220086889963017 y[1] (closed_form) 1.4242528517835664 y[1] (numeric) 1.4242528517784456 absolute error 5.120792678781072e-12 relative error 3.5954238549485047e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.230013740692256 y[1] (closed_form) 1.4371036229655043 y[1] (numeric) 1.4371036229604142 absolute error 5.090150523301418e-12 relative error 3.541950936563466e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.240114746697445 y[1] (closed_form) 1.450236775570561 y[1] (numeric) 1.4502367755655037 absolute error 5.057287921772513e-12 relative error 3.487215334049741e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.250041597426684 y[1] (closed_form) 1.4631981517598796 y[1] (numeric) 1.4631981517548545 absolute error 5.0250914540583835e-12 relative error 3.434320531374642e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.260142603431873 y[1] (closed_form) 1.4764412102872653 y[1] (numeric) 1.4764412102822724 absolute error 4.992894986344254e-12 relative error 3.3817093098971456e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.270069454161112 y[1] (closed_form) 1.489507992654747 y[1] (numeric) 1.4895079926497863 absolute error 4.9606985186301245e-12 relative error 3.3304275929320003e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.27999630489035 y[1] (closed_form) 1.5026250796990537 y[1] (numeric) 1.5026250796941247 absolute error 4.928946140125845e-12 relative error 3.280223527956166e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.29009731089554 y[1] (closed_form) 1.5160225927298348 y[1] (numeric) 1.516022592724939 absolute error 4.89563944938709e-12 relative error 3.229265495688774e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.300024161624778 y[1] (closed_form) 1.5292372320545435 y[1] (numeric) 1.5292372320496799 absolute error 4.863665026277886e-12 relative error 3.180451616224063e-10% Desired digits 12 Estimated correct digits 11 Correct digits 11 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.310125167629968 y[1] (closed_form) 1.5427313169356278 y[1] (numeric) 1.5427313169307966 absolute error 4.831246513958831e-12 relative error 3.1316188768082294e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.320052018359206 y[1] (closed_form) 1.5560382081272626 y[1] (numeric) 1.5560382081224633 absolute error 4.799272090849627e-12 relative error 3.084289361137019e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.330153024364396 y[1] (closed_form) 1.5696234523591035 y[1] (numeric) 1.5696234523543378 absolute error 4.765743355505947e-12 relative error 3.036233529986544e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.340079875093634 y[1] (closed_form) 1.5830172580018138 y[1] (numeric) 1.5830172579970803 absolute error 4.7335468877918174e-12 relative error 2.990205485041145e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.350006725822873 y[1] (closed_form) 1.5964521537728236 y[1] (numeric) 1.5964521537681238 absolute error 4.699796107843213e-12 relative error 2.9439003835701533e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.360107731828062 y[1] (closed_form) 1.610163560337107 y[1] (numeric) 1.6101635603324402 absolute error 4.666711461709383e-12 relative error 2.898284110175957e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.3700345825573 y[1] (closed_form) 1.6236773232429353 y[1] (numeric) 1.6236773232383017 absolute error 4.633626815575553e-12 relative error 2.853785508515271e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.38013558856249 y[1] (closed_form) 1.6374662267068154 y[1] (numeric) 1.637466226702215 absolute error 4.600320124836799e-12 relative error 2.809413745337952e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.390062439291729 y[1] (closed_form) 1.651053436355029 y[1] (numeric) 1.651053436350463 absolute error 4.566125255678344e-12 relative error 2.7655829636615597e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.399989290020967 y[1] (closed_form) 1.6646750317406505 y[1] (numeric) 1.6646750317361179 absolute error 4.532596520334664e-12 relative error 2.7228116202326895e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.410090296026157 y[1] (closed_form) 1.6785695125052986 y[1] (numeric) 1.6785695125007996 absolute error 4.499067784990984e-12 relative error 2.680298761220818e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.420017146755395 y[1] (closed_form) 1.6922563933042984 y[1] (numeric) 1.6922563932998327 absolute error 4.46576109425223e-12 relative error 2.6389388226995485e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.430118152760585 y[1] (closed_form) 1.706214514950535 y[1] (numeric) 1.706214514946103 absolute error 4.432010314303625e-12 relative error 2.597569224425519e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.440045003489823 y[1] (closed_form) 1.7199611913326085 y[1] (numeric) 1.7199611913282118 absolute error 4.396705222120545e-12 relative error 2.55628164418874e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.450146009495013 y[1] (closed_form) 1.7339773552349809 y[1] (numeric) 1.733977355230619 absolute error 4.361844219147315e-12 relative error 2.515513946003186e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.460072860224251 y[1] (closed_form) 1.7477783133857172 y[1] (numeric) 1.7477783133813887 absolute error 4.32853752840856e-12 relative error 2.476594139690126e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.46999971095349 y[1] (closed_form) 1.7616041258539563 y[1] (numeric) 1.7616041258496618 absolute error 4.2945647038550305e-12 relative error 2.4378716198641934e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.48010071695868 y[1] (closed_form) 1.7756966019704103 y[1] (numeric) 1.7756966019661502 absolute error 4.260147790091651e-12 relative error 2.399141714504807e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.490027567687918 y[1] (closed_form) 1.7895684095087925 y[1] (numeric) 1.789568409504566 absolute error 4.226397010143046e-12 relative error 2.3616850787521015e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.500128573693107 y[1] (closed_form) 1.8037048590154137 y[1] (numeric) 1.8037048590112226 absolute error 4.191091917959966e-12 relative error 2.323601833754416e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.510055424422346 y[1] (closed_form) 1.8176170976192152 y[1] (numeric) 1.8176170976150585 absolute error 4.156675004196586e-12 relative error 2.2868815492774351e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.520156430427535 y[1] (closed_form) 1.8317918503629538 y[1] (numeric) 1.8317918503588315 absolute error 4.122258090433206e-12 relative error 2.2503965664092328e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.530083281156774 y[1] (closed_form) 1.8457389398104862 y[1] (numeric) 1.8457389398063984 absolute error 4.087841176669826e-12 relative error 2.2147450479045268e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.540010131886012 y[1] (closed_form) 1.859701230382949 y[1] (numeric) 1.8597012303788953 absolute error 4.0536463075113716e-12 relative error 2.1797298626708153e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.550111137891202 y[1] (closed_form) 1.873922656365645 y[1] (numeric) 1.8739226563616262 absolute error 4.018785304538142e-12 relative error 2.1445844047439623e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.56003798862044 y[1] (closed_form) 1.8879114263141301 y[1] (numeric) 1.8879114263101462 absolute error 3.983924301564912e-12 relative error 2.1102283963305094e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.57013899462563 y[1] (closed_form) 1.9021569427498224 y[1] (numeric) 1.9021569427458729 absolute error 3.949507387801532e-12 relative error 2.0763309793417943e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.580065845354868 y[1] (closed_form) 1.9161665811557929 y[1] (numeric) 1.916166581151877 absolute error 3.915756607852927e-12 relative error 2.043536635260084e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.589992696084106 y[1] (closed_form) 1.930184480637317 y[1] (numeric) 1.9301844806334356 absolute error 3.881339694089547e-12 relative error 2.010864626166712e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.600093702089296 y[1] (closed_form) 1.9444553617190552 y[1] (numeric) 1.9444553617152092 absolute error 3.846034601906467e-12 relative error 1.9779495470167353e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.610020552818535 y[1] (closed_form) 1.9584857227486965 y[1] (numeric) 1.958485722744885 absolute error 3.811395643538162e-12 relative error 1.9460931469997866e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.620121558823724 y[1] (closed_form) 1.972766421327702 y[1] (numeric) 1.9727664213239255 absolute error 3.7765346405649325e-12 relative error 1.9143344086439115e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.630048409552963 y[1] (closed_form) 1.9868036163046723 y[1] (numeric) 1.98680361630093 absolute error 3.742339771406478e-12 relative error 1.8835982281766684e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.640149415558152 y[1] (closed_form) 2.001088404369357 y[1] (numeric) 2.0010884043656496 absolute error 3.707256723828323e-12 relative error 1.8526201619746356e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.65007626628739 y[1] (closed_form) 2.015126802951761 y[1] (numeric) 2.0151268029480893 absolute error 3.671729587040318e-12 relative error 1.8220836434024707e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.660003117016629 y[1] (closed_form) 2.029163710915463 y[1] (numeric) 2.029163710911825 absolute error 3.637978807091713e-12 relative error 1.792846376821133e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.670104123021819 y[1] (closed_form) 2.043443922213412 y[1] (numeric) 2.04344392220981 absolute error 3.602007581093858e-12 relative error 1.7627141816508696e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.680030973751057 y[1] (closed_form) 2.057473612544885 y[1] (numeric) 2.0574736125413184 absolute error 3.566480444305853e-12 relative error 1.7334270644154122e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.690131979756247 y[1] (closed_form) 2.071743616046711 y[1] (numeric) 2.0717436160431797 absolute error 3.531397396727698e-12 relative error 1.7045532899801036e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.700058830485485 y[1] (closed_form) 2.0857604614141874 y[1] (numeric) 2.0857604614106915 absolute error 3.495870259939693e-12 relative error 1.6760650729611697e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.709985681214723 y[1] (closed_form) 2.0997688558123366 y[1] (numeric) 2.099768855808875 absolute error 3.461675390781238e-12 relative error 1.6485983117613301e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.720086687219913 y[1] (closed_form) 2.114012911621959 y[1] (numeric) 2.114012911618531 absolute error 3.4279246108326333e-12 relative error 1.6215249168949428e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.730013537949151 y[1] (closed_form) 2.128000054836068 y[1] (numeric) 2.1280000548326754 absolute error 3.3923974740446283e-12 relative error 1.5941717042417862e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.740114543954341 y[1] (closed_form) 2.1422196310641515 y[1] (numeric) 2.1422196310607924 absolute error 3.3590907833058736e-12 relative error 1.5680422000601494e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.75004139468358 y[1] (closed_form) 2.156179912828169 y[1] (numeric) 2.156179912824843 absolute error 3.325784092567119e-12 relative error 1.5424427585009966e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.76014240068877 y[1] (closed_form) 2.170369305979399 y[1] (numeric) 2.1703693059761076 absolute error 3.291589223408664e-12 relative error 1.5166032869799106e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.770069251418008 y[1] (closed_form) 2.1842971268014457 y[1] (numeric) 2.184297126798188 absolute error 3.2578384434600594e-12 relative error 1.491481357314535e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.779996102147246 y[1] (closed_form) 2.1982067866978166 y[1] (numeric) 2.198206786694593 absolute error 3.2236435743016045e-12 relative error 1.466487863566383e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.790097108152436 y[1] (closed_form) 2.212340418895324 y[1] (numeric) 2.212340418892134 absolute error 3.1898927943529998e-12 relative error 1.4418634524363984e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.800023958881674 y[1] (closed_form) 2.2262092679483385 y[1] (numeric) 2.226209267945182 absolute error 3.156586103614245e-12 relative error 1.4179197567187098e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.810124964886864 y[1] (closed_form) 2.240298540899417 y[1] (numeric) 2.240298540896295 absolute error 3.12194714524594e-12 relative error 1.3935406769459244e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.820051815616102 y[1] (closed_form) 2.254121016291005 y[1] (numeric) 2.2541210162879164 absolute error 3.0886404545071855e-12 relative error 1.370219447928897e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.830152821621292 y[1] (closed_form) 2.2681602787651984 y[1] (numeric) 2.2681602787621458 absolute error 3.0526692285093304e-12 relative error 1.3458789738488956e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.84007967235053 y[1] (closed_form) 2.2819308362778425 y[1] (numeric) 2.281930836274825 absolute error 3.0175861809311755e-12 relative error 1.3223828404253008e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.850006523079768 y[1] (closed_form) 2.2956736118871435 y[1] (numeric) 2.2956736118841587 absolute error 2.984723579402271e-12 relative error 1.300151538941417e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.860107529084958 y[1] (closed_form) 2.3096275733445086 y[1] (numeric) 2.3096275733415585 absolute error 2.950084621033966e-12 relative error 1.2772988403329585e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.870034379814197 y[1] (closed_form) 2.3233101784021226 y[1] (numeric) 2.3233101783992054 absolute error 2.9172220195050613e-12 relative error 1.2556317475918806e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.880135385819386 y[1] (closed_form) 2.337200118284404 y[1] (numeric) 2.337200118281523 absolute error 2.8812507935072063e-12 relative error 1.2327788155436843e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.890062236548625 y[1] (closed_form) 2.3508170646750326 y[1] (numeric) 2.3508170646721838 absolute error 2.8488322811881517e-12 relative error 1.2118477120132538e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.899989087277863 y[1] (closed_form) 2.364399441006171 y[1] (numeric) 2.364399441003357 absolute error 2.8137492336099967e-12 relative error 1.190048172407199e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.910090093283053 y[1] (closed_form) 2.37818323764874 y[1] (numeric) 2.378183237645959 absolute error 2.781330721290942e-12 relative error 1.169519100656342e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.920016944012291 y[1] (closed_form) 2.3916917968281233 y[1] (numeric) 2.3916917968253766 absolute error 2.7466917629226373e-12 relative error 1.1484304819564616e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.93011795001748 y[1] (closed_form) 2.405397720706446 y[1] (numeric) 2.405397720703731 absolute error 2.7147173398134328e-12 relative error 1.1285939603435486e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.940044800746719 y[1] (closed_form) 2.418827044428863 y[1] (numeric) 2.418827044426182 absolute error 2.680966559864828e-12 relative error 1.1083746421802811e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.950145806751909 y[1] (closed_form) 2.432449598074424 y[1] (numeric) 2.4324495980717744 absolute error 2.6494362259654736e-12 relative error 1.0892049841702047e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.960072657481147 y[1] (closed_form) 2.445794299816135 y[1] (numeric) 2.4457942998135187 absolute error 2.616129535226719e-12 relative error 1.0696441378669453e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.969999508210385 y[1] (closed_form) 2.4590950722938034 y[1] (numeric) 2.459095072291221 absolute error 2.582378755278114e-12 relative error 1.0501337603305081e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.980100514215575 y[1] (closed_form) 2.4725827463796377 y[1] (numeric) 2.4725827463770877 absolute error 2.5499602429590595e-12 relative error 1.0312941990284119e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 8.990027364944813 y[1] (closed_form) 2.485790904519664 y[1] (numeric) 2.485790904517146 absolute error 2.517985819849855e-12 relative error 1.0129515782166772e-10% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.000128370950003 y[1] (closed_form) 2.4991816392295805 y[1] (numeric) 2.499181639227096 absolute error 2.4846791291111003e-12 relative error 9.941970964051452e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.010055221679242 y[1] (closed_form) 2.512291885218102 y[1] (numeric) 2.51229188521565 absolute error 2.4522606167920458e-12 relative error 9.761049785738392e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.020156227684431 y[1] (closed_form) 2.5255803095064784 y[1] (numeric) 2.525580309504058 absolute error 2.4202861936828413e-12 relative error 9.583089417401213e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.03008307841367 y[1] (closed_form) 2.538587384802358 y[1] (numeric) 2.53858738479997 absolute error 2.3883117705736367e-12 relative error 9.408034503250235e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.040009929142908 y[1] (closed_form) 2.551541386859197 y[1] (numeric) 2.551541386856842 absolute error 2.355005079834882e-12 relative error 9.229734982797045e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.050110935148098 y[1] (closed_form) 2.5646668561044814 y[1] (numeric) 2.5646668561021593 absolute error 2.3221424783059774e-12 relative error 9.054363036582152e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.060037785877336 y[1] (closed_form) 2.5775099003977884 y[1] (numeric) 2.577509900395498 absolute error 2.290168055196773e-12 relative error 8.885195959260254e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.070138791882526 y[1] (closed_form) 2.5905198386058212 y[1] (numeric) 2.590519838603563 absolute error 2.2581936320875684e-12 relative error 8.71714471525875e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.080065642611764 y[1] (closed_form) 2.6032467737694955 y[1] (numeric) 2.6032467737672698 absolute error 2.225775119768514e-12 relative error 8.549996651088119e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.089992493341002 y[1] (closed_form) 2.6159142640573174 y[1] (numeric) 2.615914264055122 absolute error 2.1955770534987096e-12 relative error 8.393153719393467e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.100093499346192 y[1] (closed_form) 2.6287416838722573 y[1] (numeric) 2.628741683870093 absolute error 2.164046719599355e-12 relative error 8.232253221669217e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.11002035007543 y[1] (closed_form) 2.6412854479277925 y[1] (numeric) 2.6412854479256587 absolute error 2.133848653329551e-12 relative error 8.078826372225884e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.12012135608062 y[1] (closed_form) 2.653984404655877 y[1] (numeric) 2.653984404653775 absolute error 2.1023183194301964e-12 relative error 7.92136651497313e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.130048206809859 y[1] (closed_form) 2.666399411154819 y[1] (numeric) 2.6663994111527485 absolute error 2.070343896320992e-12 relative error 7.764567782530094e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.140149212815048 y[1] (closed_form) 2.678964811223707 y[1] (numeric) 2.6789648112216664 absolute error 2.0405899192610377e-12 relative error 7.617083698568365e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.150076063544287 y[1] (closed_form) 2.691246080486615 y[1] (numeric) 2.6912460804846043 absolute error 2.0108359422010835e-12 relative error 7.471765427847816e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.160002914273525 y[1] (closed_form) 2.703459233285044 y[1] (numeric) 2.703459233283064 absolute error 1.979749697511579e-12 relative error 7.32302404688357e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.170103920278715 y[1] (closed_form) 2.715815489883418 y[1] (numeric) 2.715815489881468 absolute error 1.949995720451625e-12 relative error 7.180148017107496e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.180030771007953 y[1] (closed_form) 2.7278875583007616 y[1] (numeric) 2.727887558298839 absolute error 1.922462189440921e-12 relative error 7.047439267029206e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.190131777013143 y[1] (closed_form) 2.7400977845148806 y[1] (numeric) 2.7400977845129892 absolute error 1.8913759447514167e-12 relative error 6.902585577201489e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.200058627742381 y[1] (closed_form) 2.7520239264247253 y[1] (numeric) 2.7520239264228645 absolute error 1.8607337892717624e-12 relative error 6.76132853135882e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.20998547847162 y[1] (closed_form) 2.76387596272657 y[1] (numeric) 2.763875962724739 absolute error 1.830979812211808e-12 relative error 6.624681559173669e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.22008648447681 y[1] (closed_form) 2.775858656520149 y[1] (numeric) 2.775858656518347 absolute error 1.801669924361704e-12 relative error 6.490495905221269e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.230013335206047 y[1] (closed_form) 2.787557634008048 y[1] (numeric) 2.7875576340062755 absolute error 1.7723600365116e-12 relative error 6.358110823930261e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.240114341211237 y[1] (closed_form) 2.7993821884377565 y[1] (numeric) 2.7993821884360113 absolute error 1.745270594710746e-12 relative error 6.234484887126914e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.250041191940475 y[1] (closed_form) 2.8109234146326783 y[1] (numeric) 2.8109234146309623 absolute error 1.715960706860642e-12 relative error 6.104615650244878e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.260142197945665 y[1] (closed_form) 2.822585086850369 y[1] (numeric) 2.8225850868486826 absolute error 1.6862067298006878e-12 relative error 5.973980156191752e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.270069048674904 y[1] (closed_form) 2.8339639325475847 y[1] (numeric) 2.8339639325459265 absolute error 1.6582291095801338e-12 relative error 5.851271043133824e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.279995899404142 y[1] (closed_form) 2.845260598141084 y[1] (numeric) 2.845260598139454 absolute error 1.6298074001497298e-12 relative error 5.728148069159445e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.290096905409332 y[1] (closed_form) 2.8566699461632963 y[1] (numeric) 2.856669946161694 absolute error 1.602273869139026e-12 relative error 5.60888691845899e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.30002375613857 y[1] (closed_form) 2.867797429699528 y[1] (numeric) 2.867797429697953 absolute error 1.574740338128322e-12 relative error 5.4911142670677214e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.31012476214376 y[1] (closed_form) 2.8790323480605644 y[1] (numeric) 2.8790323480590154 absolute error 1.5489831639570184e-12 relative error 5.380221465731283e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.320051612872998 y[1] (closed_form) 2.8899861862876572 y[1] (numeric) 2.889986186286136 absolute error 1.5214496329463145e-12 relative error 5.2645567655833626e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.330152618878188 y[1] (closed_form) 2.9010421686433627 y[1] (numeric) 2.901042168641868 absolute error 1.4948042803553108e-12 relative error 5.152645819879061e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.340079469607426 y[1] (closed_form) 2.9118179679588647 y[1] (numeric) 2.9118179679573957 absolute error 1.4690471061840071e-12 relative error 5.0451199983966873e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.350006320336664 y[1] (closed_form) 2.922503915312846 y[1] (numeric) 2.9225039153114016 absolute error 1.4441781104324036e-12 relative error 4.9415780176219484e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.360107326341854 y[1] (closed_form) 2.933284017949766 y[1] (numeric) 2.9332840179483473 absolute error 1.41886502547095e-12 relative error 4.837121181544067e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.370034177071092 y[1] (closed_form) 2.9437854889034307 y[1] (numeric) 2.943785488902036 absolute error 1.3948842081390467e-12 relative error 4.7384030303738106e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.380135183076282 y[1] (closed_form) 2.954375726192553 y[1] (numeric) 2.9543757261911834 absolute error 1.3695711231775931e-12 relative error 4.635737800833564e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.39006203380552 y[1] (closed_form) 2.9646885085887025 y[1] (numeric) 2.9646885085873578 absolute error 1.3447021274259896e-12 relative error 4.5357282005525625e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.399988884534759 y[1] (closed_form) 2.97490622907798 y[1] (numeric) 2.974906229076662 absolute error 1.3180567748349858e-12 relative error 4.430582590979664e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.410089890539949 y[1] (closed_form) 2.9852045901332316 y[1] (numeric) 2.985204590131939 absolute error 1.2927436898735323e-12 relative error 4.330502820966908e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.420016741269187 y[1] (closed_form) 2.995227463904483 y[1] (numeric) 2.9952274639032153 absolute error 1.2678746941219288e-12 relative error 4.2329830017956885e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.430117747274377 y[1] (closed_form) 3.005325504503109 y[1] (numeric) 3.005325504501864 absolute error 1.2452261444195756e-12 relative error 4.14339858545691e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.440044598003615 y[1] (closed_form) 3.015149511365249 y[1] (numeric) 3.0151495113640285 absolute error 1.220357148667972e-12 relative error 4.0474183587513e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.450145604008805 y[1] (closed_form) 3.0250431811666276 y[1] (numeric) 3.0250431811654312 absolute error 1.1963763313360687e-12 relative error 3.954906623431003e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.460072454738043 y[1] (closed_form) 3.034664380694414 y[1] (numeric) 3.0346643806932407 absolute error 1.1732836924238654e-12 relative error 3.866271670396006e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.469999305467281 y[1] (closed_form) 3.0441836227839962 y[1] (numeric) 3.044183622782847 absolute error 1.149302875091962e-12 relative error 3.775405880545703e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.480100311472471 y[1] (closed_form) 3.0537642444459294 y[1] (numeric) 3.053764244444803 absolute error 1.1262102361797588e-12 relative error 3.687941000121628e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.49002716220171 y[1] (closed_form) 3.0630749379919733 y[1] (numeric) 3.06307493799087 absolute error 1.1031175972675555e-12 relative error 3.6013405469952824e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.5001281682069 y[1] (closed_form) 3.0724414416331625 y[1] (numeric) 3.072441441632083 absolute error 1.0795808691455022e-12 relative error 3.513755720504957e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.510055018936137 y[1] (closed_form) 3.081539852101238 y[1] (numeric) 3.0815398521001827 absolute error 1.0551559626037488e-12 relative error 3.4241191522616846e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.520156024941327 y[1] (closed_form) 3.0906884808017328 y[1] (numeric) 3.0906884808007002 absolute error 1.0325074129013956e-12 relative error 3.340703598291991e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.530082875670566 y[1] (closed_form) 3.0995709588044997 y[1] (numeric) 3.0995709588034877 absolute error 1.0120793092482927e-12 relative error 3.2652238735603917e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.540009726399804 y[1] (closed_form) 3.1083450833738486 y[1] (numeric) 3.1083450833728574 absolute error 9.912071163853398e-13 relative error 3.1888580250860286e-11% Desired digits 12 Estimated correct digits 11 Correct digits 12 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.550110732404994 y[1] (closed_form) 3.1171610257953293 y[1] (numeric) 3.1171610257943594 absolute error 9.698908343125368e-13 relative error 3.111455668431737e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.560037583134232 y[1] (closed_form) 3.1257139217703203 y[1] (numeric) 3.1257139217693712 absolute error 9.490186414495838e-13 relative error 3.036166025431033e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.570138589139422 y[1] (closed_form) 3.134302997669047 y[1] (numeric) 3.134302997668119 absolute error 9.277023593767808e-13 relative error 2.9598362381260034e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.58006543986866 y[1] (closed_form) 3.1426312344690976 y[1] (numeric) 3.142631234468188 absolute error 9.094947017729282e-13 relative error 2.8940548028587716e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.589992290597898 y[1] (closed_form) 3.1508468746091554 y[1] (numeric) 3.1508468746082667 absolute error 8.886225089099753e-13 relative error 2.8202656119879007e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.600093296603088 y[1] (closed_form) 3.1590902359083493 y[1] (numeric) 3.1590902359074793 absolute error 8.699707620962727e-13 relative error 2.7538648697260954e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.610020147332326 y[1] (closed_form) 3.1670762545084314 y[1] (numeric) 3.1670762545075806 absolute error 8.5087492607272e-13 relative error 2.6866259530741427e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.620121153337516 y[1] (closed_form) 3.175084324355643 y[1] (numeric) 3.1750843243548124 absolute error 8.304468224196171e-13 relative error 2.6155110780818378e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.630048004066754 y[1] (closed_form) 3.182837518210609 y[1] (numeric) 3.182837518209798 absolute error 8.109068971862143e-13 relative error 2.547748330056465e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.640149010071944 y[1] (closed_form) 3.190607084555907 y[1] (numeric) 3.1906070845551158 absolute error 7.913669719528116e-13 relative error 2.4803021838176606e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.650075860801183 y[1] (closed_form) 3.198124343847003 y[1] (numeric) 3.1981243438462292 absolute error 7.736034035588091e-13 relative error 2.418928473019428e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.66000271153042 y[1] (closed_form) 3.205523538100751 y[1] (numeric) 3.2055235380999942 absolute error 7.567280135845067e-13 relative error 2.3607002244409112e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.67010371753561 y[1] (closed_form) 3.2129305998468154 y[1] (numeric) 3.2129305998460764 absolute error 7.389644451905042e-13 relative error 2.299970143226051e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.680030568264849 y[1] (closed_form) 3.2200893853201737 y[1] (numeric) 3.220089385319453 absolute error 7.207567875866516e-13 relative error 2.238312982467059e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.690131574270039 y[1] (closed_form) 3.2272503473965157 y[1] (numeric) 3.2272503473958123 absolute error 7.034373084024992e-13 relative error 2.1796800145051513e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.700058424999277 y[1] (closed_form) 3.234165852688905 y[1] (numeric) 3.234165852688218 absolute error 6.870060076380469e-13 relative error 2.1242139053161602e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.709985275728515 y[1] (closed_form) 3.240959741357579 y[1] (numeric) 3.240959741356907 absolute error 6.719069745031447e-13 relative error 2.073172850402934e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.720086281733705 y[1] (closed_form) 3.24774729411283 y[1] (numeric) 3.247747294112175 absolute error 6.550315845288424e-13 relative error 2.0168797791509635e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.730013132462943 y[1] (closed_form) 3.254293790443663 y[1] (numeric) 3.2542937904430245 absolute error 6.3860028376439e-13 relative error 1.9623313839692655e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.740114138468133 y[1] (closed_form) 3.2608282620535496 y[1] (numeric) 3.260828262052926 absolute error 6.235012506294879e-13 relative error 1.912094721102637e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.750040989197371 y[1] (closed_form) 3.2671247402361434 y[1] (numeric) 3.267124740235534 absolute error 6.092903959142859e-13 relative error 1.8649131709315977e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.760141995202561 y[1] (closed_form) 3.2734035097133996 y[1] (numeric) 3.273403509712807 absolute error 5.924150059399835e-13 relative error 1.8097830108083802e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.7700688459318 y[1] (closed_form) 3.2794474442200414 y[1] (numeric) 3.2794474442194623 absolute error 5.790923296444817e-13 relative error 1.765822869535903e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.779995696661038 y[1] (closed_form) 3.2853652999844707 y[1] (numeric) 3.2853652999839063 absolute error 5.644373857194296e-13 relative error 1.7180353908349173e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.790096702666228 y[1] (closed_form) 3.291256959738609 y[1] (numeric) 3.291256959738061 absolute error 5.480060849549773e-13 relative error 1.6650358560836884e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.800023553395466 y[1] (closed_form) 3.29691868386702 y[1] (numeric) 3.2969186838664863 absolute error 5.337952302397753e-13 relative error 1.6190730843676025e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.810124559400656 y[1] (closed_form) 3.302548549975829 y[1] (numeric) 3.3025485499753096 absolute error 5.195843755245733e-13 relative error 1.573283080208998e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.820051410129894 y[1] (closed_form) 3.3079518715414022 y[1] (numeric) 3.3079518715408973 absolute error 5.049294315995212e-13 relative error 1.526411057982654e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.830152416135084 y[1] (closed_form) 3.3133176858563655 y[1] (numeric) 3.3133176858558744 absolute error 4.911626660941693e-13 relative error 1.4823892927346102e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.840079266864322 y[1] (closed_form) 3.3184604375779707 y[1] (numeric) 3.318460437577493 absolute error 4.778399897986674e-13 relative error 1.4399448141302121e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.85000611759356 y[1] (closed_form) 3.3234732661562867 y[1] (numeric) 3.3234732661558217 absolute error 4.649614027130156e-13 relative error 1.3990225450218822e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.86010712359875 y[1] (closed_form) 3.328440166973678 y[1] (numeric) 3.328440166973224 absolute error 4.53859172466764e-13 relative error 1.3635791833368811e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.870033974327988 y[1] (closed_form) 3.3331893795238225 y[1] (numeric) 3.33318937952338 absolute error 4.4275694222051243e-13 relative error 1.3283281920325945e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.880134980333178 y[1] (closed_form) 3.3378870568427175 y[1] (numeric) 3.337887056842287 absolute error 4.303224443447107e-13 relative error 1.2892061265600445e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.890061831062416 y[1] (closed_form) 3.3423707484477596 y[1] (numeric) 3.342370748447339 absolute error 4.205524817280093e-13 relative error 1.258246057602435e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.899988681791655 y[1] (closed_form) 3.34672216075027 y[1] (numeric) 3.3467221607498603 absolute error 4.098943406916078e-13 relative error 1.2247635776246134e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.910089687796845 y[1] (closed_form) 3.3510136902659853 y[1] (numeric) 3.351013690265587 absolute error 3.9834802123550617e-13 relative error 1.188738865474129e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.920016538526083 y[1] (closed_form) 3.35509693151841 y[1] (numeric) 3.355096931518021 absolute error 3.8902214782865485e-13 relative error 1.1594960019608012e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.930117544531273 y[1] (closed_form) 3.359114738280381 y[1] (numeric) 3.3591147382800015 absolute error 3.7969627442180354e-13 relative error 1.1303462489530203e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.94004439526051 y[1] (closed_form) 3.362928170687966 y[1] (numeric) 3.3629281706875966 absolute error 3.694822225952521e-13 relative error 1.0986919846095488e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.9501454012657 y[1] (closed_form) 3.3666706431473212 y[1] (numeric) 3.3666706431469593 absolute error 3.6193270602780103e-13 relative error 1.0750463718941316e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.960072251994939 y[1] (closed_form) 3.370212737136082 y[1] (numeric) 3.370212737135729 absolute error 3.530509218307998e-13 relative error 1.0475627189362922e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.969999102724177 y[1] (closed_form) 3.3736198082294186 y[1] (numeric) 3.373619808229073 absolute error 3.455014052633487e-13 relative error 1.0241266796588994e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.980100108729367 y[1] (closed_form) 3.3769477090112243 y[1] (numeric) 3.376947709010886 absolute error 3.383959779057477e-13 relative error 1.0020764520657343e-11% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 9.990026959458605 y[1] (closed_form) 3.3800813572714277 y[1] (numeric) 3.3800813572710964 absolute error 3.312905505481467e-13 relative error 9.801259660080523e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00017415527595197452 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; Iterations 53713 Total Elapsed Time 7 Seconds Elapsed Time(since restart) 7 Seconds Time to Timeout 2 Minutes 53.0 Seconds Percent Done 100.00302120739747%