##############ECHO OF PROBLEM################# ##############R:Temp/h2sinpostode.ode################# diff ( y , x , 2 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #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) - sin(c(x))) end def exact_soln_yp (x) x = c(x) return(neg( cos(c(x)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 1.9001665833531718 y[1] (numeric) 1.9001665833531718 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 0.09933466539753057 Order of pole (three term test) 32.990033288920614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11000000000000001 y[1] (closed_form) 1.8902216991628251 y[1] (numeric) 1.8902216991628251 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 0.10911481154043463 Order of pole (three term test) 32.9879487246653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 1.8802877927110806 y[1] (numeric) 1.8802877927110808 absolute error 2.220446049250313e-16 relative error 1.1809075492899826e-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 0.11885131321356739 Order of pole (three term test) 32.98566898742601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 1.870365857380305 y[1] (numeric) 1.8703658573803057 absolute error 6.661338147750939e-16 relative error 3.5615161180716937e-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 0.12854027594607764 Order of pole (three term test) 32.98319498906726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 1.8604568853557635 y[1] (numeric) 1.8604568853557641 absolute error 6.661338147750939e-16 relative error 3.5804850949164207e-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 0.13817782428205685 Order of pole (three term test) 32.98052771915538 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 1.8505618675264008 y[1] (numeric) 1.8505618675264015 absolute error 6.661338147750939e-16 relative error 3.599630071625209e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14776010333066983 Order of pole (three term test) 32.97766824456281 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 1.840681793385754 y[1] (numeric) 1.8406817933857549 absolute error 8.881784197001252e-16 relative error 4.825268674312293e-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 0.1572832803080589 Order of pole (three term test) 32.97461770904122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 1.8308176509330039 y[1] (numeric) 1.830817650933005 absolute error 1.1102230246251565e-15 relative error 6.064083029019167e-14% Desired digits 12 Estimated correct digits 13 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1667435460704072 Order of pole (three term test) 32.97137733276417 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 1.8209704265741757 y[1] (numeric) 1.8209704265741766 absolute error 8.881784197001252e-16 relative error 4.877500516969247e-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 0.17613711663754503 Order of pole (three term test) 32.96794841183897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 1.8111411050234993 y[1] (numeric) 1.8111411050235005 absolute error 1.1102230246251565e-15 relative error 6.12996426145798e-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 0.18546023470649134 Order of pole (three term test) 32.96433231778825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 1.8013306692049387 y[1] (numeric) 1.8013306692049398 absolute error 1.1102230246251565e-15 relative error 6.163349370580476e-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 0.19470917115432554 Order of pole (three term test) 32.96053049700145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 1.7915401001539004 y[1] (numeric) 1.7915401001539015 absolute error 1.1102230246251565e-15 relative error 6.197031395109627e-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 0.20388022652978516 Order of pole (three term test) 32.95654447015615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 1.7817703769191306 y[1] (numeric) 1.7817703769191318 absolute error 1.1102230246251565e-15 relative error 6.231010679080037e-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 0.21296973253299986 Order of pole (three term test) 32.952375831609984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 1.7720224764648114 y[1] (numeric) 1.7720224764648127 absolute error 1.3322676295501878e-15 relative error 7.518344982892454e-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 0.22197405348275995 Order of pole (three term test) 32.948026248762766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 1.7622973735728653 y[1] (numeric) 1.7622973735728662 absolute error 8.881784197001252e-16 relative error 5.0398895953606316e-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 0.2308895877707415 Order of pole (three term test) 32.94349746138964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 1.752596040745477 y[1] (numeric) 1.752596040745478 absolute error 8.881784197001252e-16 relative error 5.067787436757722e-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 0.23971276930210159 Order of pole (three term test) 32.93879128094519 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 1.7429194481078447 y[1] (numeric) 1.7429194481078456 absolute error 8.881784197001252e-16 relative error 5.0959235130708595e-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 0.24844006892186837 Order of pole (three term test) 32.93390958983882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 1.7332685633111686 y[1] (numeric) 1.7332685633111697 absolute error 1.1102230246251565e-15 relative error 6.405372185971168e-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 0.2570679958265568 Order of pole (three term test) 32.928854340681916 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 1.7236443514358861 y[1] (numeric) 1.7236443514358872 absolute error 1.1102230246251565e-15 relative error 6.441137486977998e-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 0.2655930989604418 Order of pole (three term test) 32.92362755550671 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 1.7140477748951644 y[1] (numeric) 1.7140477748951652 absolute error 8.881784197001252e-16 relative error 5.181759999393533e-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 0.2740119683959369 Order of pole (three term test) 32.918231324957596 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 1.7044797933386602 y[1] (numeric) 1.7044797933386613 absolute error 1.1102230246251565e-15 relative error 6.513559321524724e-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 0.28232123669751774 Order of pole (three term test) 32.91266780745484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 1.6949413635565564 y[1] (numeric) 1.6949413635565573 absolute error 8.881784197001252e-16 relative error 5.2401719540104236e-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 0.29051758026865265 Order of pole (three term test) 32.90693922833127 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 1.6854334393838821 y[1] (numeric) 1.6854334393838828 absolute error 6.661338147750939e-16 relative error 3.9522997420687355e-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 0.2985977206811961 Order of pole (three term test) 32.901047878942144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 1.6759569716051315 y[1] (numeric) 1.6759569716051324 absolute error 8.881784197001252e-16 relative error 5.2995299685378026e-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 0.306558425986717 Order of pole (three term test) 32.894996115748675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 1.6665129078591854 y[1] (numeric) 1.6665129078591865 absolute error 1.1102230246251565e-15 relative error 6.661952748096966e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3143965120092345 Order of pole (three term test) 32.888786359375466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 1.6571021925445484 y[1] (numeric) 1.6571021925445495 absolute error 1.1102230246251565e-15 relative error 6.69978610625313e-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 0.3221088436188457 Order of pole (three term test) 32.88242109364224 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 1.64772576672491 y[1] (numeric) 1.6477257667249108 absolute error 8.881784197001252e-16 relative error 5.3903291290122054e-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 0.3296923359857368 Order of pole (three term test) 32.87590286457045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 1.6383845680350377 y[1] (numeric) 1.6383845680350388 absolute error 1.1102230246251565e-15 relative error 6.776327403746724e-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 0.3371439558140728 Order of pole (three term test) 32.8692342793648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 1.6290795305870172 y[1] (numeric) 1.629079530587018 absolute error 8.881784197001252e-16 relative error 5.4520261474286774e-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 0.34446072255527577 Order of pole (three term test) 32.86241800537046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 1.6198115848768384 y[1] (numeric) 1.6198115848768393 absolute error 8.881784197001252e-16 relative error 5.4832205670862484e-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 0.35163970960020524 Order of pole (three term test) 32.855456769006146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 1.6105816576913492 y[1] (numeric) 1.6105816576913505 absolute error 1.3322676295501878e-15 relative error 8.271965740997546e-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 0.35867804544976156 Order of pole (three term test) 32.84835335467358 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 1.6013906720155768 y[1] (numeric) 1.6013906720155782 absolute error 1.3322676295501878e-15 relative error 8.319441675486597e-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 0.3655729148634483 Order of pole (three term test) 32.84111060364381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 1.5922395469404296 y[1] (numeric) 1.5922395469404307 absolute error 1.1102230246251565e-15 relative error 6.972713538980408e-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 0.3723215599854297 Order of pole (three term test) 32.833731412920656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 1.583129197570789 y[1] (numeric) 1.5831291975707902 absolute error 1.1102230246251565e-15 relative error 7.012839042629768e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3789212814476387 Order of pole (three term test) 32.826218734082026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 1.5740605349340002 y[1] (numeric) 1.5740605349340013 absolute error 1.1102230246251565e-15 relative error 7.053242235513565e-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 0.3853694394494846 Order of pole (three term test) 32.8185755720993 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 1.5650344658887696 y[1] (numeric) 1.565034465888771 absolute error 1.3322676295501878e-15 relative error 8.512704726880277e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39166345481374193 Order of pole (three term test) 32.81080498413533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 1.55605189303448 y[1] (numeric) 1.556051893034481 absolute error 1.1102230246251565e-15 relative error 7.134871462802529e-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 0.3978008100181831 Order of pole (three term test) 32.80291007832173 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 1.5471137146209315 y[1] (numeric) 1.5471137146209326 absolute error 1.1102230246251565e-15 relative error 7.17609193256476e-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 0.4037790502025573 Order of pole (three term test) 32.794894012515556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 1.538220824458517 y[1] (numeric) 1.5382208244585176 absolute error 6.661338147750939e-16 relative error 4.3305473712435646e-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 0.40959578415049946 Order of pole (three term test) 32.786759993036235 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 1.5293741118288418 y[1] (numeric) 1.5293741118288424 absolute error 6.661338147750939e-16 relative error 4.355597558654396e-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 0.4152486852459852 Order of pole (three term test) 32.7785112733831 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 1.5205744613957968 y[1] (numeric) 1.520574461395798 absolute error 1.3322676295501878e-15 relative error 8.761607296279629e-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 0.4207354924039486 Order of pole (three term test) 32.77015115293407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 1.5118227531170922 y[1] (numeric) 1.5118227531170936 absolute error 1.3322676295501878e-15 relative error 8.812326886887397e-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 0.4260540109746815 Order of pole (three term test) 32.761682975625824 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 1.503119862156263 y[1] (numeric) 1.5031198621562643 absolute error 1.3322676295501878e-15 relative error 8.863349245076283e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4312021136216694 Order of pole (three term test) 32.75311012861639 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 1.4944666587951527 y[1] (numeric) 1.494466658795154 absolute error 1.3322676295501878e-15 relative error 8.914669468934618e-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 0.43617774117249336 Order of pole (three term test) 32.74443604093027 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 1.4858640083468866 y[1] (numeric) 1.485864008346888 absolute error 1.3322676295501878e-15 relative error 8.966282392373283e-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 0.44097890344247404 Order of pole (three term test) 32.73566418208687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 1.4773127710693406 y[1] (numeric) 1.4773127710693421 absolute error 1.5543122344752192e-15 relative error 1.0521213008604421e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44560368003071793 Order of pole (three term test) 32.72679806071279 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 1.4688138020791164 y[1] (numeric) 1.468813802079118 absolute error 1.5543122344752192e-15 relative error 1.0582091700629985e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4500502210882524 Order of pole (three term test) 32.71784122313835 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 1.4603679512660306 y[1] (numeric) 1.4603679512660321 absolute error 1.5543122344752192e-15 relative error 1.0643291871255775e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4543167480579418 Order of pole (three term test) 32.708797251979185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 1.451976063208126 y[1] (numeric) 1.451976063208128 absolute error 1.9984014443252818e-15 relative error 1.3763322240380702e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584015543858837 Order of pole (three term test) 32.69966976470313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 1.443638977087216 y[1] (numeric) 1.4436389770872178 absolute error 1.7763568394002505e-15 relative error 1.2304716536431767e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46230300620401016 Order of pole (three term test) 32.690462412183436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 1.4353575266049643 y[1] (numeric) 1.4353575266049663 absolute error 1.9984014443252818e-15 relative error 1.3922673670385657e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46601954298361303 Order of pole (three term test) 32.68117887723833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 1.4271325398995183 y[1] (numeric) 1.4271325398995203 absolute error 1.9984014443252818e-15 relative error 1.4002914154462385e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46954967815953375 Order of pole (three term test) 32.67182287315802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 1.4189648394626946 y[1] (numeric) 1.4189648394626964 absolute error 1.7763568394002505e-15 relative error 1.2518681154022716e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47289199972476953 Order of pole (three term test) 32.66239814221938 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 1.41085524205773 y[1] (numeric) 1.4108552420577323 absolute error 2.220446049250313e-15 relative error 1.5738298182964513e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4760451707952579 Order of pole (three term test) 32.652908454189145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 1.4028045586376074 y[1] (numeric) 1.4028045586376092 absolute error 1.7763568394002505e-15 relative error 1.2662896113806716e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47900793014461246 Order of pole (three term test) 32.643357604815975 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 1.3948135942639601 y[1] (numeric) 1.3948135942639615 absolute error 1.3322676295501878e-15 relative error 9.551581910507706e-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 0.4817790927085966 Order of pole (three term test) 32.6337494143123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 1.3868831480265658 y[1] (numeric) 1.386883148026567 absolute error 1.3322676295501878e-15 relative error 9.606199566603058e-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 0.48435755005913267 Order of pole (three term test) 32.62408772582618 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 1.3790140129634398 y[1] (numeric) 1.379014012963441 absolute error 1.1102230246251565e-15 relative error 8.050846577253676e-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 0.48674227084765986 Order of pole (three term test) 32.61437640390423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 1.371206975981531 y[1] (numeric) 1.371206975981532 absolute error 8.881784197001252e-16 relative error 6.477347586890399e-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 0.48893230121765807 Order of pole (three term test) 32.60461933294571 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 1.3634628177780317 y[1] (numeric) 1.3634628177780321 absolute error 4.440892098500626e-16 relative error 3.257068722811033e-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 0.49092676518617995 Order of pole (three term test) 32.59482041564891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 1.3557823127623085 y[1] (numeric) 1.355782312762309 absolute error 4.440892098500626e-16 relative error 3.275520012834973e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4927248649942302 Order of pole (three term test) 32.584983571450124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 1.3481662289784628 y[1] (numeric) 1.3481662289784635 absolute error 6.661338147750939e-16 relative error 4.941036205007443e-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 0.4943258814258599 Order of pole (three term test) 32.575112734955844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 1.3406153280285265 y[1] (numeric) 1.340615328028527 absolute error 4.440892098500626e-16 relative error 3.3125774453371985e-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 0.4957291740958433 Order of pole (three term test) 32.56521185436907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 1.3331303649963018 y[1] (numeric) 1.3331303649963022 absolute error 4.440892098500626e-16 relative error 3.3311761663406005e-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 0.4969341817058225 Order of pole (three term test) 32.555284889910034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 1.3257120883718545 y[1] (numeric) 1.325712088371855 absolute error 4.440892098500626e-16 relative error 3.349816402409526e-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 0.4979404222688201 Order of pole (three term test) 32.54533581223215 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 1.3183612399766655 y[1] (numeric) 1.3183612399766655 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 0.4987474933020272 Order of pole (three term test) 32.53536860083385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 1.3110785548894484 y[1] (numeric) 1.3110785548894484 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 0.4993550719877915 Order of pole (three term test) 32.52538724246679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 1.3038647613726428 y[1] (numeric) 1.303864761372643 absolute error 2.220446049250313e-16 relative error 1.7029726663620695e-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 0.49976291530273953 Order of pole (three term test) 32.51539572954123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 1.2967205807995894 y[1] (numeric) 1.2967205807995899 absolute error 4.440892098500626e-16 relative error 3.4247101220235624e-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 0.4999708601149832 Order of pole (three term test) 32.50539805852914 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 1.2896467275823917 y[1] (numeric) 1.289646727582392 absolute error 2.220446049250313e-16 relative error 1.7217475156261003e-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 0.49997882324937 Order of pole (three term test) 32.495398228365595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 1.2826439091004769 y[1] (numeric) 1.282643909100477 absolute error 2.220446049250313e-16 relative error 1.7311476969531787e-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 0.4997868015207526 Order of pole (three term test) 32.48540023884935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 1.275712825629857 y[1] (numeric) 1.275712825629857 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 0.4993948717352619 Order of pole (three term test) 32.47540808904291 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 1.2688541702731038 y[1] (numeric) 1.2688541702731038 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 0.49880319065958684 Order of pole (three term test) 32.46542577567297 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 1.262068628890037 y[1] (numeric) 1.262068628890037 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 0.4980119949582683 Order of pole (three term test) 32.45545729153177 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 1.2553568800291401 y[1] (numeric) 1.2553568800291406 absolute error 4.440892098500626e-16 relative error 3.5375534791329944e-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 0.4970216010990379 Order of pole (three term test) 32.445506623880064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 1.2487195948597067 y[1] (numeric) 1.2487195948597072 absolute error 4.440892098500626e-16 relative error 3.5563565405566964e-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 0.4958324052262341 Order of pole (three term test) 32.43557775285223 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 1.2421574371047226 y[1] (numeric) 1.2421574371047228 absolute error 2.220446049250313e-16 relative error 1.7875721570575068e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4944448830023506 Order of pole (three term test) 32.42567464986432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 1.2356710629744945 y[1] (numeric) 1.235671062974495 absolute error 4.440892098500626e-16 relative error 3.593911220847527e-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 0.4928595894177767 Order of pole (three term test) 32.41580127602546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 1.2292611211010303 y[1] (numeric) 1.2292611211010307 absolute error 4.440892098500626e-16 relative error 3.612651553254192e-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 0.4910771585688091 Order of pole (three term test) 32.40596158055356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 1.2229282524731757 y[1] (numeric) 1.2229282524731762 absolute error 4.440892098500626e-16 relative error 3.6313594763385635e-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 0.48909830340402216 Order of pole (three term test) 32.396159499195605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 1.2166730903725163 y[1] (numeric) 1.2166730903725167 absolute error 4.440892098500626e-16 relative error 3.650029028866687e-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 0.4869238154390974 Order of pole (three term test) 32.38639895265346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 1.210496260310049 y[1] (numeric) 1.2104962603100498 absolute error 6.661338147750939e-16 relative error 5.502981187273346e-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 0.48455456444022804 Order of pole (three term test) 32.37668384501558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 1.2043983799636335 y[1] (numeric) 1.204398379963634 absolute error 4.440892098500626e-16 relative error 3.687228555251559e-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 0.4819914980762237 Order of pole (three term test) 32.367018062195505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 1.1983800591162224 y[1] (numeric) 1.198380059116223 absolute error 6.661338147750939e-16 relative error 5.5586189849182926e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4792356415394569 Order of pole (three term test) 32.35740547037749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 1.1924418995948853 y[1] (numeric) 1.1924418995948862 absolute error 8.881784197001252e-16 relative error 7.4483999597957e-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 0.47628809713579723 Order of pole (three term test) 32.34784991447008 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 1.1865844952106257 y[1] (numeric) 1.186584495210627 absolute error 1.3322676295501878e-15 relative error 1.1227751878838621e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.473150043843707 Order of pole (three term test) 32.338355216568246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 1.1808084316990013 y[1] (numeric) 1.1808084316990028 absolute error 1.5543122344752192e-15 relative error 1.316311937440016e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46982273684266207 Order of pole (three term test) 32.328925174424555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 1.1751142866615494 y[1] (numeric) 1.1751142866615507 absolute error 1.3322676295501878e-15 relative error 1.1337345181421499e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4663075070111 Order of pole (three term test) 32.31956355993012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 1.169502629508029 y[1] (numeric) 1.16950262950803 absolute error 8.881784197001252e-16 relative error 7.594496987781484e-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 0.46260576039408385 Order of pole (three term test) 32.31027411760592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 1.1639740213994791 y[1] (numeric) 1.1639740213994798 absolute error 6.661338147750939e-16 relative error 5.722926822491985e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4587189776409047 Order of pole (three term test) 32.30106056310504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 1.1585290151921033 y[1] (numeric) 1.158529015192104 absolute error 6.661338147750939e-16 relative error 5.749824182561694e-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 0.45464871341284074 Order of pole (three term test) 32.29192658172643 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 1.153168155381985 y[1] (numeric) 1.153168155381985 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 0.45039659576131374 Order of pole (three term test) 32.28287582694085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 1.1478919780506378 y[1] (numeric) 1.1478919780506374 absolute error 4.440892098500626e-16 relative error 3.8687369399010835e-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 0.44596432547669035 Order of pole (three term test) 32.27391191892955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 1.142701010811398 y[1] (numeric) 1.1427010108113969 absolute error 1.1102230246251565e-15 relative error 9.715778791836547e-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 0.44135367540798826 Order of pole (three term test) 32.265038443136206 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 1.1375957727566635 y[1] (numeric) 1.137595772756662 absolute error 1.5543122344752192e-15 relative error 1.366313300117803e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4365664897537599 Order of pole (three term test) 32.25625894883283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 1.1325767744059854 y[1] (numeric) 1.1325767744059834 absolute error 1.9984014443252818e-15 relative error 1.764473269702537e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4316046833244394 Order of pole (three term test) 32.247576947700075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 1.1276445176550167 y[1] (numeric) 1.127644517655014 absolute error 2.6645352591003757e-15 relative error 2.362921308429173e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42647024077644125 Order of pole (three term test) 32.23899591242265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 1.1227994957253218 y[1] (numeric) 1.1227994957253185 absolute error 3.3306690738754696e-15 relative error 2.966397016168837e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42116521581832655 Order of pole (three term test) 32.230519275300246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 1.1180421931150564 y[1] (numeric) 1.1180421931150528 absolute error 3.552713678800501e-15 relative error 3.177620398119354e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4156917303893461 Order of pole (three term test) 32.2221504268747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 1.113373085550517 y[1] (numeric) 1.113373085550513 absolute error 3.9968028886505635e-15 relative error 3.5898145379311993e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41005197381069236 Order of pole (three term test) 32.21389271457379 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 1.1087926399385695 y[1] (numeric) 1.108792639938565 absolute error 4.440892098500626e-15 relative error 4.0051601521693593e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4042482019098012 Order of pole (three term test) 32.20574944137233 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 1.1043013143199576 y[1] (numeric) 1.1043013143199523 absolute error 5.329070518200751e-15 relative error 4.82573954146062e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3982827361180502 Order of pole (three term test) 32.197723864471044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 1.0998995578235005 y[1] (numeric) 1.0998995578234947 absolute error 5.773159728050814e-15 relative error 5.248806299617793e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39215796254221763 Order of pole (three term test) 32.18981919399367 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 1.09558781062118 y[1] (numeric) 1.095587810621174 absolute error 5.995204332975845e-15 relative error 5.472134935105443e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38587633101007174 Order of pole (three term test) 32.18203859170301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 1.091366503884123 y[1] (numeric) 1.0913665038841165 absolute error 6.439293542825908e-15 relative error 5.900211816936621e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3794403540904706 Order of pole (three term test) 32.17438516973624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 1.0872360597394854 y[1] (numeric) 1.0872360597394788 absolute error 6.661338147750939e-15 relative error 6.12685542213075e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37285260608837045 Order of pole (three term test) 32.1668619893601 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 1.0831968912282397 y[1] (numeric) 1.083196891228233 absolute error 6.661338147750939e-15 relative error 6.149702054810766e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36611572201513737 Order of pole (three term test) 32.15947205974644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 1.0792494022638714 y[1] (numeric) 1.0792494022638646 absolute error 6.8833827526759706e-15 relative error 6.377935200369021e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35923239653457556 Order of pole (three term test) 32.15221833676856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 1.075393987591987 y[1] (numeric) 1.0753939875919798 absolute error 7.105427357601002e-15 relative error 6.607278299473679e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35220538288510156 Order of pole (three term test) 32.14510372181895 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 1.0716310327508407 y[1] (numeric) 1.0716310327508336 absolute error 7.105427357601002e-15 relative error 6.630479279198932e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34503749177848286 Order of pole (three term test) 32.13813106064873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 1.0679609140327813 y[1] (numeric) 1.067960914032774 absolute error 7.327471962526033e-15 relative error 6.861179904849135e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.337731590275591 Order of pole (three term test) 32.13130314222939 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 1.0643839984466221 y[1] (numeric) 1.0643839984466148 absolute error 7.327471962526033e-15 relative error 6.884237242592763e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3302906006396172 Order of pole (three term test) 32.124622697637264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 1.0609006436809405 y[1] (numeric) 1.0609006436809332 absolute error 7.327471962526033e-15 relative error 6.906840905574685e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3227174991672033 Order of pole (three term test) 32.11809239896113 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 1.0575111980683107 y[1] (numeric) 1.057511198068303 absolute error 7.771561172376096e-15 relative error 7.348916197362182e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3150153149979654 Order of pole (three term test) 32.11171485823337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 1.0542160005504693 y[1] (numeric) 1.054216000550461 absolute error 8.215650382226158e-15 relative error 7.793137628281372e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3071871289028762 Order of pole (three term test) 32.10549262638525 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 1.0510153806444222 y[1] (numeric) 1.0510153806444138 absolute error 8.43769498715119e-15 relative error 8.028136545421133e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29923607205200004 Order of pole (three term test) 32.09942819222655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 1.047909658409493 y[1] (numeric) 1.047909658409484 absolute error 8.881784197001252e-15 relative error 8.475715559757259e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29116532476206347 Order of pole (three term test) 32.09352398145007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 1.0448991444153164 y[1] (numeric) 1.0448991444153075 absolute error 8.881784197001252e-15 relative error 8.500135390551155e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2829781152243754 Order of pole (three term test) 32.0877823556614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 1.0419841397107836 y[1] (numeric) 1.0419841397107747 absolute error 8.881784197001252e-15 relative error 8.523914960420135e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27467771821358883 Order of pole (three term test) 32.08220561143431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 1.039164935793936 y[1] (numeric) 1.039164935793927 absolute error 9.103828801926284e-15 relative error 8.760715925206651e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2662674537778372 Order of pole (three term test) 32.07679597939213 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 1.0364418145828158 y[1] (numeric) 1.0364418145828067 absolute error 9.103828801926284e-15 relative error 8.783733610352953e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2577506859107598 Order of pole (three term test) 32.07155562331554 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 1.0338150483872746 y[1] (numeric) 1.0338150483872655 absolute error 9.103828801926284e-15 relative error 8.806051736360413e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24913082120594832 Order of pole (three term test) 32.06648663927711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 1.0312848998817432 y[1] (numeric) 1.031284899881734 absolute error 9.103828801926284e-15 relative error 8.827656453585439e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24041130749435455 Order of pole (three term test) 32.061591054802875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 1.0288516220789639 y[1] (numeric) 1.028851622078955 absolute error 8.881784197001252e-15 relative error 8.632716327991152e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23159563246520418 Order of pole (three term test) 32.05687082806134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 1.0265154583046892 y[1] (numeric) 1.0265154583046798 absolute error 9.325873406851315e-15 relative error 9.084980972671548e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22268732227096869 Order of pole (three term test) 32.05232784708028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 1.0242766421733491 y[1] (numeric) 1.02427664217334 absolute error 9.103828801926284e-15 relative error 8.88805663146768e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21368994011694933 Order of pole (three term test) 32.047963928991486 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 1.0221353975646918 y[1] (numeric) 1.022135397564683 absolute error 8.881784197001252e-15 relative error 8.689439988246876e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20460708483604442 Order of pole (three term test) 32.04378081930403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 1.0200919386013938 y[1] (numeric) 1.0200919386013851 absolute error 8.659739592076221e-15 relative error 8.489175597200811e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.195442389449263 Order of pole (three term test) 32.03978019120603 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 1.018146469627648 y[1] (numeric) 1.0181464696276397 absolute error 8.43769498715119e-15 relative error 8.287309575641887e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18619951971256596 Order of pole (three term test) 32.035963644895354 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 1.016299185188731 y[1] (numeric) 1.016299185188723 absolute error 7.993605777301127e-15 relative error 7.865406067226828e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1768821726506111 Order of pole (three term test) 32.03233270693965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 1.0145502700115472 y[1] (numeric) 1.0145502700115396 absolute error 7.549516567451064e-15 relative error 7.441244451460389e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16749407507799338 Order of pole (three term test) 32.02888882966568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 1.0128998989861566 y[1] (numeric) 1.0128998989861495 absolute error 7.105427357601002e-15 relative error 7.014935399552362e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15803898210856915 Order of pole (three term test) 32.02563339057846 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 1.0113482371482871 y[1] (numeric) 1.01134823714828 absolute error 7.105427357601002e-15 relative error 7.025698069772955e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14852067565345975 Order of pole (three term test) 32.022567691810195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 1.0098954396628288 y[1] (numeric) 1.0098954396628221 absolute error 6.661338147750939e-15 relative error 6.596067163126257e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13894296290833819 Order of pole (three term test) 32.01969295959954 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 1.00854165180832 y[1] (numeric) 1.0085416518083135 absolute error 6.439293542825908e-15 relative error 6.384757170197408e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12930967483060143 Order of pole (three term test) 32.017010343801026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 1.0072870089624173 y[1] (numeric) 1.0072870089624113 absolute error 5.995204332975845e-15 relative error 5.95183327059024e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11962466460703851 Order of pole (three term test) 32.01452091742522 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 1.0061316365883606 y[1] (numeric) 1.0061316365883546 absolute error 5.995204332975845e-15 relative error 5.958667946576723e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1098918061126072 Order of pole (three term test) 32.012225676209475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 1.0050756502224243 y[1] (numeric) 1.0050756502224187 absolute error 5.551115123125783e-15 relative error 5.52308189129576e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1001149923609353 Order of pole (three term test) 32.01012553821967 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 1.0041191554623645 y[1] (numeric) 1.0041191554623594 absolute error 5.10702591327572e-15 relative error 5.08607557727957e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09029813394716772 Order of pole (three term test) 32.00822134348301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 1.003262247956861 y[1] (numeric) 1.0032622479568563 absolute error 4.6629367034256575e-15 relative error 4.647774510524749e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08044515748378045 Order of pole (three term test) 32.006513853651995 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 1.0025050133959494 y[1] (numeric) 1.0025050133959452 absolute error 4.218847493575595e-15 relative error 4.2083056315942017e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07056000402998744 Order of pole (three term test) 32.00500375169979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 1.0018475275024552 y[1] (numeric) 1.0018475275024517 absolute error 3.552713678800501e-15 relative error 3.5461620468907074e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06064662751536995 Order of pole (three term test) 32.003691641647045 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 1.0012898560244199 y[1] (numeric) 1.0012898560244166 absolute error 3.3306690738754696e-15 relative error 3.326378524496147e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.050708993158357266 Order of pole (three term test) 32.00257804832028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 1.0008320547285263 y[1] (numeric) 1.0008320547285237 absolute error 2.6645352591003757e-15 relative error 2.6623200631030206e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0407510758801921 Order of pole (three term test) 32.001663417141984 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 1.0004741693945227 y[1] (numeric) 1.0004741693945205 absolute error 2.220446049250313e-15 relative error 2.2193936806925315e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030776858715015308 Order of pole (three term test) 32.00094811395243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 1.0002162358106443 y[1] (numeric) 1.0002162358106423 absolute error 1.9984014443252818e-15 relative error 1.997969411789881e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02079033121670514 Order of pole (three term test) 32.00043242486336 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 1.0000582797700344 y[1] (numeric) 1.0000582797700333 absolute error 1.1102230246251565e-15 relative error 1.1101583248532823e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010795487863109021 Order of pole (three term test) 32.00011655614354 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] 1.5699895045693064 y[1] (closed_form) 1.0000003254810341 y[1] (numeric) 1.0000003254810341 absolute error 0.0 relative error 0.0% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5799940494205038 y[1] (closed_form) 1.0000422987525481 y[1] (numeric) 1.000042298752548 absolute error 2.220446049250313e-16 relative error 2.2203521311249488e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5899985942717012 y[1] (closed_form) 1.0001843578732093 y[1] (numeric) 1.0001843578732095 absolute error 2.220446049250313e-16 relative error 2.2200367679933196e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000031391228986 y[1] (closed_form) 1.0004264886243088 y[1] (numeric) 1.000426488624309 absolute error 2.220446049250313e-16 relative error 2.2194994579798252e-14% Desired digits 12 Estimated correct digits 12 Correct digits 16 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.610007683974096 y[1] (closed_form) 1.0007686667709597 y[1] (numeric) 1.0007686667709592 absolute error 4.440892098500626e-16 relative error 4.4374811541906405e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200122288252934 y[1] (closed_form) 1.001210858064523 y[1] (numeric) 1.0012108580645234 absolute error 4.440892098500626e-16 relative error 4.43552131174993e-14% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300167736764908 y[1] (closed_form) 1.0017530182460352 y[1] (numeric) 1.001753018246037 absolute error 1.7763568394002505e-15 relative error 1.7732483027707423e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400213185276882 y[1] (closed_form) 1.0023950930506393 y[1] (numeric) 1.0023950930506418 absolute error 2.4424906541753444e-15 relative error 2.4366546395812754e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500258633788856 y[1] (closed_form) 1.0031370182130146 y[1] (numeric) 1.003137018213017 absolute error 2.4424906541753444e-15 relative error 2.4348524776070873e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.660030408230083 y[1] (closed_form) 1.0039787194738101 y[1] (numeric) 1.0039787194738128 absolute error 2.6645352591003757e-15 relative error 2.6539758337675434e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700349530812804 y[1] (closed_form) 1.004920112587077 y[1] (numeric) 1.0049201125870801 absolute error 3.1086244689504383e-15 relative error 3.093404570187736e-13% Desired digits 12 Estimated correct digits 12 Correct digits 15 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800394979324778 y[1] (closed_form) 1.0059611033287006 y[1] (numeric) 1.0059611033287048 absolute error 4.218847493575595e-15 relative error 4.1938475350742017e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900440427836751 y[1] (closed_form) 1.0071015875058313 y[1] (numeric) 1.0071015875058353 absolute error 3.9968028886505635e-15 relative error 3.968619390769674e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000485876348725 y[1] (closed_form) 1.0083414509673134 y[1] (numeric) 1.0083414509673179 absolute error 4.440892098500626e-15 relative error 4.4041550550564275e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.71005313248607 y[1] (closed_form) 1.0096805696151105 y[1] (numeric) 1.009680569615116 absolute error 5.551115123125783e-15 relative error 5.497892393078203e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200576773372673 y[1] (closed_form) 1.0111188094167258 y[1] (numeric) 1.0111188094167314 absolute error 5.551115123125783e-15 relative error 5.490072058226273e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300622221884647 y[1] (closed_form) 1.0126560264186188 y[1] (numeric) 1.0126560264186255 absolute error 6.661338147750939e-15 relative error 6.578085721080998e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400667670396621 y[1] (closed_form) 1.0142920667606123 y[1] (numeric) 1.0142920667606194 absolute error 7.105427357601002e-15 relative error 7.005307041682686e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500713118908595 y[1] (closed_form) 1.016026766691293 y[1] (numeric) 1.016026766691301 absolute error 7.993605777301127e-15 relative error 7.867514950745273e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.760075856742057 y[1] (closed_form) 1.0178599525844012 y[1] (numeric) 1.0178599525844094 absolute error 8.215650382226158e-15 relative error 8.071493884169605e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700804015932543 y[1] (closed_form) 1.0197914409562086 y[1] (numeric) 1.0197914409562172 absolute error 8.659739592076221e-15 relative error 8.491677066789662e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800849464444517 y[1] (closed_form) 1.0218210384838846 y[1] (numeric) 1.0218210384838933 absolute error 8.659739592076221e-15 relative error 8.474810427592107e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.790089491295649 y[1] (closed_form) 1.0239485420248444 y[1] (numeric) 1.0239485420248537 absolute error 9.325873406851315e-15 relative error 9.107755931181392e-13% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000940361468465 y[1] (closed_form) 1.0261737386370822 y[1] (numeric) 1.0261737386370926 absolute error 1.0436096431476471e-14 relative error 1.0169911817600424e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100985809980439 y[1] (closed_form) 1.0284964056004848 y[1] (numeric) 1.0284964056004953 absolute error 1.0436096431476471e-14 relative error 1.0146944971949984e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8201031258492413 y[1] (closed_form) 1.0309163104391235 y[1] (numeric) 1.0309163104391346 absolute error 1.1102230246251565e-14 relative error 1.0769283727330419e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8301076707004387 y[1] (closed_form) 1.0334332109445226 y[1] (numeric) 1.0334332109445339 absolute error 1.1324274851176597e-14 relative error 1.0957916516759314e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.840112215551636 y[1] (closed_form) 1.0360468551999018 y[1] (numeric) 1.036046855199913 absolute error 1.1102230246251565e-14 relative error 1.0715953810901174e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8501167604028335 y[1] (closed_form) 1.0387569816053914 y[1] (numeric) 1.0387569816054034 absolute error 1.199040866595169e-14 relative error 1.1543035453220829e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8601213052540309 y[1] (closed_form) 1.041563318904215 y[1] (numeric) 1.0415633189042273 absolute error 1.2212453270876722e-14 relative error 1.1725118434206121e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8701258501052282 y[1] (closed_form) 1.0444655862098395 y[1] (numeric) 1.044465586209852 absolute error 1.2434497875801753e-14 relative error 1.1905129321612314e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8801303949564256 y[1] (closed_form) 1.0474634930340905 y[1] (numeric) 1.0474634930341027 absolute error 1.2212453270876722e-14 relative error 1.1659072943441724e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.890134939807623 y[1] (closed_form) 1.050556739316225 y[1] (numeric) 1.0505567393162385 absolute error 1.354472090042691e-14 relative error 1.289289801638201e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9001394846588204 y[1] (closed_form) 1.0537450154529666 y[1] (numeric) 1.0537450154529806 absolute error 1.3988810110276972e-14 relative error 1.3275327432285592e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9101440295100178 y[1] (closed_form) 1.0570280023294927 y[1] (numeric) 1.0570280023295076 absolute error 1.4876988529977098e-14 relative error 1.4074356116574951e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.919987210734583 y[1] (closed_form) 1.060350150548821 y[1] (numeric) 1.0603501505488369 absolute error 1.5765166949677223e-14 relative error 1.4867887689285857e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9299917555857804 y[1] (closed_form) 1.063820049566127 y[1] (numeric) 1.063820049566144 absolute error 1.709743457922741e-14 relative error 1.6071735615624561e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9399963004369778 y[1] (closed_form) 1.0673836509122188 y[1] (numeric) 1.0673836509122365 absolute error 1.7763568394002505e-14 relative error 1.6642158963950043e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500008452881752 y[1] (closed_form) 1.071040597905942 y[1] (numeric) 1.07104059790596 absolute error 1.7985612998927536e-14 relative error 1.6792652896717757e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600053901393726 y[1] (closed_form) 1.0747905245231695 y[1] (numeric) 1.0747905245231884 absolute error 1.887379141862766e-14 relative error 1.756043711587522e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.97000993499057 y[1] (closed_form) 1.0786330554334356 y[1] (numeric) 1.0786330554334547 absolute error 1.9095836023552692e-14 relative error 1.7703737084044084e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800144798417674 y[1] (closed_form) 1.0825678060375026 y[1] (numeric) 1.0825678060375217 absolute error 1.9095836023552692e-14 relative error 1.7639390269186677e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900190246929648 y[1] (closed_form) 1.0865943825058575 y[1] (numeric) 1.0865943825058766 absolute error 1.9095836023552692e-14 relative error 1.7574024245841113e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.000023569544162 y[1] (closed_form) 1.0907123818181272 y[1] (numeric) 1.0907123818181481 absolute error 2.0872192862952943e-14 relative error 1.9136294050463355e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0100281143953596 y[1] (closed_form) 1.0949213918034202 y[1] (numeric) 1.094921391803443 absolute error 2.2870594307278225e-14 relative error 2.08878870012838e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020032659246557 y[1] (closed_form) 1.099220991181578 y[1] (numeric) 1.0992209911816013 absolute error 2.3314683517128287e-14 relative error 2.121018767305999e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300372040977543 y[1] (closed_form) 1.1036107496053424 y[1] (numeric) 1.1036107496053653 absolute error 2.2870594307278225e-14 relative error 2.072342473599218e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400417489489517 y[1] (closed_form) 1.1080902277034297 y[1] (numeric) 1.1080902277034534 absolute error 2.375877272697835e-14 relative error 2.1441189654943124e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.050046293800149 y[1] (closed_form) 1.112658977124506 y[1] (numeric) 1.11265897712453 absolute error 2.4202861936828413e-14 relative error 2.1752273099325496e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0600508386513465 y[1] (closed_form) 1.1173165405820629 y[1] (numeric) 1.1173165405820877 absolute error 2.4868995751603507e-14 relative error 2.225778895088054e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.070055383502544 y[1] (closed_form) 1.1220624519001885 y[1] (numeric) 1.1220624519002136 absolute error 2.5091040356528538e-14 relative error 2.236153639580168e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0800599283537413 y[1] (closed_form) 1.1268962360602255 y[1] (numeric) 1.126896236060251 absolute error 2.55351295663786e-14 relative error 2.2659699047050423e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0900644732049387 y[1] (closed_form) 1.1318174092483173 y[1] (numeric) 1.1318174092483424 absolute error 2.5091040356528538e-14 relative error 2.2168805808697044e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.100069018056136 y[1] (closed_form) 1.1368254789038315 y[1] (numeric) 1.1368254789038568 absolute error 2.531308496145357e-14 relative error 2.2266465197332987e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1100735629073335 y[1] (closed_form) 1.1419199437686616 y[1] (numeric) 1.1419199437686878 absolute error 2.6201263381153694e-14 relative error 2.2944921423022046e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.120078107758531 y[1] (closed_form) 1.1471002939373975 y[1] (numeric) 1.147100293937424 absolute error 2.6423307986078726e-14 relative error 2.3034871602535534e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1300826526097283 y[1] (closed_form) 1.1523660109083613 y[1] (numeric) 1.1523660109083893 absolute error 2.7977620220553945e-14 relative error 2.427841497902248e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1400871974609257 y[1] (closed_form) 1.1577165676355055 y[1] (numeric) 1.1577165676355343 absolute error 2.886579864025407e-14 relative error 2.4933389956756805e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.150091742312123 y[1] (closed_form) 1.1631514285811642 y[1] (numeric) 1.163151428581194 absolute error 2.9753977059954195e-14 relative error 2.558048447419155e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1600962871633205 y[1] (closed_form) 1.1686700497696547 y[1] (numeric) 1.168670049769685 absolute error 3.019806626980426e-14 relative error 2.5839685269384896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.170100832014518 y[1] (closed_form) 1.1742718788417257 y[1] (numeric) 1.1742718788417557 absolute error 2.9976021664879227e-14 relative error 2.5527326511852497e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1801053768657153 y[1] (closed_form) 1.1799563551098409 y[1] (numeric) 1.179956355109873 absolute error 3.219646771412954e-14 relative error 2.72861513688211e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1901099217169127 y[1] (closed_form) 1.1857229096142996 y[1] (numeric) 1.1857229096143331 absolute error 3.352873534367973e-14 relative error 2.827704101170331e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.20011446656811 y[1] (closed_form) 1.1915709651801845 y[1] (numeric) 1.1915709651802187 absolute error 3.419486915845482e-14 relative error 2.869729974771919e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2101190114193074 y[1] (closed_form) 1.197499936475129 y[1] (numeric) 1.1974999364751644 absolute error 3.530509218307998e-14 relative error 2.948233324086964e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.220123556270505 y[1] (closed_form) 1.2035092300679051 y[1] (numeric) 1.2035092300679415 absolute error 3.6415315207705135e-14 relative error 3.0257611905187037e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2301281011217022 y[1] (closed_form) 1.20959824448782 y[1] (numeric) 1.2095982444878564 absolute error 3.6415315207705135e-14 relative error 3.010529766693276e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2401326459728996 y[1] (closed_form) 1.215766370284915 y[1] (numeric) 1.2157663702849524 absolute error 3.730349362740526e-14 relative error 3.068311029088852e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.250137190824097 y[1] (closed_form) 1.222012990090969 y[1] (numeric) 1.2220129900910064 absolute error 3.730349362740526e-14 relative error 3.05262660298139e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2601417356752944 y[1] (closed_form) 1.2283374786812877 y[1] (numeric) 1.2283374786813253 absolute error 3.752553823233029e-14 relative error 3.0549860183877777e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699849168998596 y[1] (closed_form) 1.2346353399475753 y[1] (numeric) 1.234635339947613 absolute error 3.774758283725532e-14 relative error 3.0573871989488123e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.279989461751057 y[1] (closed_form) 1.241112429040935 y[1] (numeric) 1.2411124290409732 absolute error 3.8191672047105385e-14 relative error 3.077212922331127e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2899940066022544 y[1] (closed_form) 1.2476654752541334 y[1] (numeric) 1.2476654752541718 absolute error 3.8413716652030416e-14 relative error 3.0788474486084533e-12% Desired digits 12 Estimated correct digits 12 Correct digits 14 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299998551453452 y[1] (closed_form) 1.2542938226922313 y[1] (numeric) 1.2542938226922717 absolute error 4.04121180963557e-14 relative error 3.2219020268803235e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.310003096304649 y[1] (closed_form) 1.2609968079233855 y[1] (numeric) 1.2609968079234262 absolute error 4.063416270128073e-14 relative error 3.2223842634619536e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3200076411558466 y[1] (closed_form) 1.2677737600452483 y[1] (numeric) 1.2677737600452899 absolute error 4.1522341120980855e-14 relative error 3.2752169534964085e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.330012186007044 y[1] (closed_form) 1.2746240007521208 y[1] (numeric) 1.2746240007521625 absolute error 4.1744385725905886e-14 relative error 3.275035281092594e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3400167308582414 y[1] (closed_form) 1.2815468444028433 y[1] (numeric) 1.2815468444028848 absolute error 4.1522341120980855e-14 relative error 3.2400174291193262e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3500212757094388 y[1] (closed_form) 1.288541598089421 y[1] (numeric) 1.2885415980894634 absolute error 4.241051954068098e-14 relative error 3.2913581993445127e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.360025820560636 y[1] (closed_form) 1.2956075617063783 y[1] (numeric) 1.2956075617064216 absolute error 4.3298697960381105e-14 relative error 3.3419608869335874e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3700303654118335 y[1] (closed_form) 1.3027440280208316 y[1] (numeric) 1.3027440280208749 absolute error 4.3298697960381105e-14 relative error 3.3236535366169983e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.380034910263031 y[1] (closed_form) 1.3099502827432756 y[1] (numeric) 1.3099502827433198 absolute error 4.418687638008123e-14 relative error 3.3731720174559466e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3900394551142283 y[1] (closed_form) 1.3172256045990793 y[1] (numeric) 1.3172256045991237 absolute error 4.440892098500626e-14 relative error 3.371398250227826e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4000439999654257 y[1] (closed_form) 1.3245692654006749 y[1] (numeric) 1.3245692654007204 absolute error 4.551914400963142e-14 relative error 3.436524249704837e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.410048544816623 y[1] (closed_form) 1.3319805301204446 y[1] (numeric) 1.3319805301204906 absolute error 4.596323321948148e-14 relative error 3.450743624257424e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4200530896678205 y[1] (closed_form) 1.3394586569642883 y[1] (numeric) 1.339458656964335 absolute error 4.6629367034256575e-14 relative error 3.4812098747367144e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.430057634519018 y[1] (closed_form) 1.3470028974458716 y[1] (numeric) 1.3470028974459185 absolute error 4.6851411639181606e-14 relative error 3.4781967973505636e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4400621793702153 y[1] (closed_form) 1.354612496461539 y[1] (numeric) 1.3546124964615869 absolute error 4.796163466380676e-14 relative error 3.540616581427538e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4500667242214127 y[1] (closed_form) 1.3622866923658952 y[1] (numeric) 1.362286692365943 absolute error 4.773959005888173e-14 relative error 3.504371754228324e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.46007126907261 y[1] (closed_form) 1.3700247170480362 y[1] (numeric) 1.3700247170480846 absolute error 4.8405723873656825e-14 relative error 3.5332007715857587e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4700758139238075 y[1] (closed_form) 1.3778257960084306 y[1] (numeric) 1.37782579600848 absolute error 4.951594689828198e-14 relative error 3.5937741216436774e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.480080358775005 y[1] (closed_form) 1.385689148436439 y[1] (numeric) 1.3856891484364886 absolute error 4.951594689828198e-14 relative error 3.5733805777546833e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4900849036262023 y[1] (closed_form) 1.3936139872884659 y[1] (numeric) 1.3936139872885154 absolute error 4.951594689828198e-14 relative error 3.553060413423693e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5000894484773997 y[1] (closed_form) 1.4015995193667339 y[1] (numeric) 1.4015995193667827 absolute error 4.884981308350689e-14 relative error 3.4852903706458212e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.510093993328597 y[1] (closed_form) 1.409644945398676 y[1] (numeric) 1.4096449453987245 absolute error 4.8627768478581856e-14 relative error 3.4496465679042997e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5200985381797945 y[1] (closed_form) 1.4177494601169336 y[1] (numeric) 1.417749460116984 absolute error 5.040412531798211e-14 relative error 3.555220914266817e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.530103083030992 y[1] (closed_form) 1.425912252339958 y[1] (numeric) 1.4259122523400092 absolute error 5.10702591327572e-14 relative error 3.5815849852576558e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5401076278821892 y[1] (closed_form) 1.4341325050531992 y[1] (numeric) 1.4341325050532525 absolute error 5.3290705182007514e-14 relative error 3.715884340828792e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5501121727333866 y[1] (closed_form) 1.442409395490882 y[1] (numeric) 1.4424093954909347 absolute error 5.262457136723242e-14 relative error 3.648379685527712e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.560116717584584 y[1] (closed_form) 1.4507420952183572 y[1] (numeric) 1.4507420952184107 absolute error 5.3512749786932545e-14 relative error 3.688646656308551e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5701212624357814 y[1] (closed_form) 1.4591297702150188 y[1] (numeric) 1.459129770215074 absolute error 5.5289106626332796e-14 relative error 3.789183645960793e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.580125807286979 y[1] (closed_form) 1.4675715809577814 y[1] (numeric) 1.4675715809578371 absolute error 5.573319583618286e-14 relative error 3.797647525976873e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.590130352138176 y[1] (closed_form) 1.4760666825051088 y[1] (numeric) 1.4760666825051658 absolute error 5.706546346573305e-14 relative error 3.866049152256747e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6001348969893736 y[1] (closed_form) 1.484614224581583 y[1] (numeric) 1.4846142245816407 absolute error 5.773159728050814e-14 relative error 3.888659850122273e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.610139441840571 y[1] (closed_form) 1.49321335166301 y[1] (numeric) 1.4932133516630686 absolute error 5.861977570020827e-14 relative error 3.925746822108354e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6201439866917684 y[1] (closed_form) 1.5018632030620476 y[1] (numeric) 1.5018632030621066 absolute error 5.906386491005833e-14 relative error 3.93270604071243e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6299871679163336 y[1] (closed_form) 1.510422204074275 y[1] (numeric) 1.5104222040743345 absolute error 5.950795411990839e-14 relative error 3.93982251845803e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.639991712767531 y[1] (closed_form) 1.5191701186341722 y[1] (numeric) 1.5191701186342321 absolute error 5.995204332975845e-14 relative error 3.946367993576588e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499962576187284 y[1] (closed_form) 1.5279661594967235 y[1] (numeric) 1.5279661594967846 absolute error 6.106226635438361e-14 relative error 3.996310126036829e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6600008024699258 y[1] (closed_form) 1.5368094462654713 y[1] (numeric) 1.5368094462655324 absolute error 6.106226635438361e-14 relative error 3.973314095821584e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.670005347321123 y[1] (closed_form) 1.5456990938151096 y[1] (numeric) 1.545699093815171 absolute error 6.128431095930864e-14 relative error 3.9648280318290224e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6800098921723206 y[1] (closed_form) 1.5546342123800794 y[1] (numeric) 1.5546342123801418 absolute error 6.23945339839338e-14 relative error 4.013454321734654e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.690014437023518 y[1] (closed_form) 1.5636139076436226 y[1] (numeric) 1.5636139076436866 absolute error 6.394884621840902e-14 relative error 4.0898105284047e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7000189818747153 y[1] (closed_form) 1.5726372808272973 y[1] (numeric) 1.5726372808273612 absolute error 6.394884621840902e-14 relative error 4.066344286634758e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7100235267259127 y[1] (closed_form) 1.5817034287809337 y[1] (numeric) 1.581703428780998 absolute error 6.417089082333405e-14 relative error 4.0570747749337865e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.72002807157711 y[1] (closed_form) 1.5908114440730323 y[1] (numeric) 1.5908114440730976 absolute error 6.52811138479592e-14 relative error 4.103636172041658e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7300326164283075 y[1] (closed_form) 1.599960415081588 y[1] (numeric) 1.5999604150816533 absolute error 6.52811138479592e-14 relative error 4.0801705612591845e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.740037161279505 y[1] (closed_form) 1.6091494260853345 y[1] (numeric) 1.6091494260854 absolute error 6.550315845288424e-14 relative error 4.070669720974101e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7500417061307023 y[1] (closed_form) 1.6183775573553998 y[1] (numeric) 1.618377557355466 absolute error 6.616929226765933e-14 relative error 4.088618997892368e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7600462509818997 y[1] (closed_form) 1.62764388524736 y[1] (numeric) 1.6276438852474266 absolute error 6.661338147750939e-14 relative error 4.092626285226136e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.770050795833097 y[1] (closed_form) 1.6369474822936894 y[1] (numeric) 1.636947482293757 absolute error 6.772360450213455e-14 relative error 4.137188592467261e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7800553406842945 y[1] (closed_form) 1.6462874172965887 y[1] (numeric) 1.6462874172966562 absolute error 6.750155989720952e-14 relative error 4.10022935169216e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.790059885535492 y[1] (closed_form) 1.65566275542119 y[1] (numeric) 1.6556627554212584 absolute error 6.838973831690964e-14 relative error 4.1306563243618855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8000644303866893 y[1] (closed_form) 1.6650725582891235 y[1] (numeric) 1.6650725582891923 absolute error 6.88338275267597e-14 relative error 4.133983662398896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8100689752378867 y[1] (closed_form) 1.674515884072441 y[1] (numeric) 1.6745158840725107 absolute error 6.972200594645983e-14 relative error 4.163711231982771e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.820073520089084 y[1] (closed_form) 1.6839917875878827 y[1] (numeric) 1.6839917875879535 absolute error 7.083222897108499e-14 relative error 4.206209881376186e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8300780649402815 y[1] (closed_form) 1.6934993203914805 y[1] (numeric) 1.6934993203915525 absolute error 7.194245199571014e-14 relative error 4.248153579363672e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.840082609791479 y[1] (closed_form) 1.7030375308734889 y[1] (numeric) 1.7030375308735612 absolute error 7.238654120556021e-14 relative error 4.250437227207383e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8500871546426763 y[1] (closed_form) 1.7126054643536304 y[1] (numeric) 1.7126054643537034 absolute error 7.30526750203353e-14 relative error 4.2655869399498126e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8600916994938737 y[1] (closed_form) 1.7222021631766504 y[1] (numeric) 1.7222021631767241 absolute error 7.37188088351104e-14 relative error 4.28049682036945e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.870096244345071 y[1] (closed_form) 1.731826666808169 y[1] (numeric) 1.731826666808243 absolute error 7.394085344003543e-14 relative error 4.2695296739085094e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8801007891962684 y[1] (closed_form) 1.7414780119308204 y[1] (numeric) 1.7414780119308944 absolute error 7.394085344003543e-14 relative error 4.245867759079849e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.890105334047466 y[1] (closed_form) 1.7511552325406718 y[1] (numeric) 1.751155232540746 absolute error 7.416289804496046e-14 relative error 4.2350841699716625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9001098788986632 y[1] (closed_form) 1.7608573600439108 y[1] (numeric) 1.7608573600439856 absolute error 7.482903185973555e-14 relative error 4.249579412716856e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9101144237498606 y[1] (closed_form) 1.7705834233537918 y[1] (numeric) 1.7705834233538669 absolute error 7.505107646466058e-14 relative error 4.238776635697901e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.920118968601058 y[1] (closed_form) 1.780332448987833 y[1] (numeric) 1.7803324489879093 absolute error 7.638334409421077e-14 relative error 4.290397792706455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9301235134522554 y[1] (closed_form) 1.7901034611652504 y[1] (numeric) 1.7901034611653277 absolute error 7.72715225139109e-14 relative error 4.316595335981963e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.940128058303453 y[1] (closed_form) 1.7998954819046262 y[1] (numeric) 1.799895481904705 absolute error 7.882583474838611e-14 relative error 4.3794673380130735e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.95013260315465 y[1] (closed_form) 1.8097075311217934 y[1] (numeric) 1.8097075311218722 absolute error 7.882583474838611e-14 relative error 4.355722313843934e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9601371480058476 y[1] (closed_form) 1.8195386267279332 y[1] (numeric) 1.8195386267280125 absolute error 7.926992395823618e-14 relative error 4.356594731972625e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.970141692857045 y[1] (closed_form) 1.8293877847278721 y[1] (numeric) 1.8293877847279523 absolute error 8.01581023779363e-14 relative error 4.38169004117736e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.97998487408161 y[1] (closed_form) 1.8390947561885977 y[1] (numeric) 1.8390947561886786 absolute error 8.08242361927114e-14 relative error 4.394783679347457e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899894189328076 y[1] (closed_form) 1.8489768282004917 y[1] (numeric) 1.8489768282005725 absolute error 8.08242361927114e-14 relative error 4.3712952461050156e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.999993963784005 y[1] (closed_form) 1.8588740161341608 y[1] (numeric) 1.858874016134243 absolute error 8.215650382226158e-14 relative error 4.419691873100672e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0099985086352024 y[1] (closed_form) 1.868785329379245 y[1] (numeric) 1.8687853293793282 absolute error 8.326672684688674e-14 relative error 4.455660344601779e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0200030534863997 y[1] (closed_form) 1.8787097759115803 y[1] (numeric) 1.8787097759116638 absolute error 8.348877145181177e-14 relative error 4.443941928779376e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.030007598337597 y[1] (closed_form) 1.8886463623924916 y[1] (numeric) 1.8886463623925753 absolute error 8.37108160567368e-14 relative error 4.4323181789678166e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0400121431887945 y[1] (closed_form) 1.8985940942682147 y[1] (numeric) 1.8985940942682986 absolute error 8.393286066166183e-14 relative error 4.420790147565087e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.050016688039992 y[1] (closed_form) 1.9085519758694425 y[1] (numeric) 1.9085519758695273 absolute error 8.482103908136196e-14 relative error 4.444261416706855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0600212328911893 y[1] (closed_form) 1.9185190105109802 y[1] (numeric) 1.9185190105110659 absolute error 8.570921750106208e-14 relative error 4.467467720230419e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0700257777423867 y[1] (closed_form) 1.9284942005915053 y[1] (numeric) 1.9284942005915908 absolute error 8.548717289613705e-14 relative error 4.4328457337292766e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.080030322593584 y[1] (closed_form) 1.9384765476934163 y[1] (numeric) 1.938476547693502 absolute error 8.570921750106208e-14 relative error 4.421473017202455e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0900348674447815 y[1] (closed_form) 1.9484650526827647 y[1] (numeric) 1.948465052682851 absolute error 8.637535131583718e-14 relative error 4.432994638364715e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.100039412295979 y[1] (closed_form) 1.958458715809259 y[1] (numeric) 1.9584587158093452 absolute error 8.615330671091215e-14 relative error 4.3990361407905685e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1100439571471763 y[1] (closed_form) 1.968456536806329 y[1] (numeric) 1.9684565368064155 absolute error 8.659739592076221e-14 relative error 4.3992536437334755e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1200485019983737 y[1] (closed_form) 1.9784575149912427 y[1] (numeric) 1.9784575149913297 absolute error 8.704148513061227e-14 relative error 4.399461927844205e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.130053046849571 y[1] (closed_form) 1.9884606493652655 y[1] (numeric) 1.988460649365353 absolute error 8.748557434046234e-14 relative error 4.399663346035463e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1400575917007685 y[1] (closed_form) 1.998464938713849 y[1] (numeric) 1.998464938713937 absolute error 8.815170815523743e-14 relative error 4.410970963141799e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.150062136551966 y[1] (closed_form) 2.0084693817068437 y[1] (numeric) 2.0084693817069343 absolute error 9.059419880941277e-14 relative error 4.510608906192223e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1600666814031633 y[1] (closed_form) 2.0184729769987224 y[1] (numeric) 2.018472976998812 absolute error 8.970602038971265e-14 relative error 4.44425173940634e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1700712262543607 y[1] (closed_form) 2.0284747233288027 y[1] (numeric) 2.028474723328894 absolute error 9.103828801926284e-14 relative error 4.488016881465775e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.180075771105558 y[1] (closed_form) 2.0384736196214663 y[1] (numeric) 2.038473619621556 absolute error 8.970602038971265e-14 relative error 4.4006466174612834e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1900803159567555 y[1] (closed_form) 2.048468665086355 y[1] (numeric) 2.0484686650864457 absolute error 9.059419880941277e-14 relative error 4.4225328096777936e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.200084860807953 y[1] (closed_form) 2.0584588593185407 y[1] (numeric) 2.058458859318633 absolute error 9.237055564881302e-14 relative error 4.487364672393433e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2100894056591502 y[1] (closed_form) 2.068443202398655 y[1] (numeric) 2.068443202398747 absolute error 9.192646643896296e-14 relative error 4.444234501211399e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2200939505103476 y[1] (closed_form) 2.0784206949929716 y[1] (numeric) 2.078420694993063 absolute error 9.14823772291129e-14 relative error 4.401533214594087e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.230098495361545 y[1] (closed_form) 2.0883903384534306 y[1] (numeric) 2.0883903384535225 absolute error 9.192646643896296e-14 relative error 4.401785659812984e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2401030402127424 y[1] (closed_form) 2.098351134917592 y[1] (numeric) 2.0983511349176833 absolute error 9.14823772291129e-14 relative error 4.3597268210644675e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.25010758506394 y[1] (closed_form) 2.108302087408513 y[1] (numeric) 2.1083020874086045 absolute error 9.14823772291129e-14 relative error 4.339149393034154e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.260112129915137 y[1] (closed_form) 2.118242199934534 y[1] (numeric) 2.1182421999346253 absolute error 9.103828801926284e-14 relative error 4.297822412473722e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2701166747663346 y[1] (closed_form) 2.1281704775889696 y[1] (numeric) 2.1281704775890606 absolute error 9.103828801926284e-14 relative error 4.2777723391032675e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.280121219617532 y[1] (closed_form) 2.138085926649686 y[1] (numeric) 2.1380859266497767 absolute error 9.059419880941277e-14 relative error 4.237163608825163e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2901257644687294 y[1] (closed_form) 2.1479875546785663 y[1] (numeric) 2.1479875546786564 absolute error 9.015010959956271e-14 relative error 4.1969567934974905e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.300130309319927 y[1] (closed_form) 2.1578743706208408 y[1] (numeric) 2.157874370620929 absolute error 8.837375276016246e-14 relative error 4.095407682827082e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.310134854171124 y[1] (closed_form) 2.1677453849042823 y[1] (numeric) 2.167745384904372 absolute error 8.970602038971265e-14 relative error 4.138217569941853e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3201393990223216 y[1] (closed_form) 2.177599609538254 y[1] (numeric) 2.177599609538345 absolute error 9.103828801926284e-14 relative error 4.180671580785548e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.330143943873519 y[1] (closed_form) 2.1874360582125956 y[1] (numeric) 2.1874360582126857 absolute error 9.015010959956271e-14 relative error 4.121268334271971e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.339987125098084 y[1] (closed_form) 2.1970955505995122 y[1] (numeric) 2.197095550599602 absolute error 8.970602038971265e-14 relative error 4.082936691817293e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499916699492815 y[1] (closed_form) 2.206893821863818 y[1] (numeric) 2.2068938218639076 absolute error 8.970602038971265e-14 relative error 4.064809076947436e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.359996214800479 y[1] (closed_form) 2.2166713851083553 y[1] (numeric) 2.2166713851084467 absolute error 9.14823772291129e-14 relative error 4.127015751802158e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3700007596516763 y[1] (closed_form) 2.22642726169601 y[1] (numeric) 2.226427261696101 absolute error 9.103828801926284e-14 relative error 4.088985505410729e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3800053045028737 y[1] (closed_form) 2.2361604751602857 y[1] (numeric) 2.236160475160378 absolute error 9.237055564881302e-14 relative error 4.1307659568659536e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.390009849354071 y[1] (closed_form) 2.245870051303041 y[1] (numeric) 2.2458700513031347 absolute error 9.370282327836321e-14 relative error 4.172228184974343e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4000143942052685 y[1] (closed_form) 2.255555018291995 y[1] (numeric) 2.2555550182920885 absolute error 9.370282327836321e-14 relative error 4.154313351634362e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.410018939056466 y[1] (closed_form) 2.2652144067579996 y[1] (numeric) 2.2652144067580933 absolute error 9.370282327836321e-14 relative error 4.1365984164153256e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4200234839076633 y[1] (closed_form) 2.2748472498920633 y[1] (numeric) 2.274847249892159 absolute error 9.547918011776346e-14 relative error 4.197168848250964e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4300280287588607 y[1] (closed_form) 2.284452583542119 y[1] (numeric) 2.284452583542216 absolute error 9.681144774731365e-14 relative error 4.237840104223319e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.440032573610058 y[1] (closed_form) 2.294029446309526 y[1] (numeric) 2.294029446309623 absolute error 9.725553695716371e-14 relative error 4.239506912765292e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4500371184612555 y[1] (closed_form) 2.3035768796452962 y[1] (numeric) 2.303576879645395 absolute error 9.85878045867139e-14 relative error 4.279770536761699e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.460041663312453 y[1] (closed_form) 2.3130939279460367 y[1] (numeric) 2.313093927946135 absolute error 9.814371537686384e-14 relative error 4.2429628209699526e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4700462081636503 y[1] (closed_form) 2.3225796386495947 y[1] (numeric) 2.3225796386496946 absolute error 9.992007221626409e-14 relative error 4.3021160847840765e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4800507530148477 y[1] (closed_form) 2.3320330623303995 y[1] (numeric) 2.3320330623305012 absolute error 1.0169642905566434e-13 relative error 4.360848510185321e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.490055297866045 y[1] (closed_form) 2.3414532527944925 y[1] (numeric) 2.341453252794595 absolute error 1.0258460747536446e-13 relative error 4.3812366252852215e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5000598427172425 y[1] (closed_form) 2.35083926717423 y[1] (numeric) 2.3508392671743334 absolute error 1.0347278589506459e-13 relative error 4.401525333522337e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.51006438756844 y[1] (closed_form) 2.3601901660226545 y[1] (numeric) 2.360190166022758 absolute error 1.0347278589506459e-13 relative error 4.384086815743109e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5200689324196373 y[1] (closed_form) 2.3695050134075264 y[1] (numeric) 2.3695050134076294 absolute error 1.0302869668521453e-13 relative error 4.348110516848053e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5300734772708346 y[1] (closed_form) 2.378782877004999 y[1] (numeric) 2.3787828770051034 absolute error 1.0436096431476471e-13 relative error 4.387158043030819e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.540078022122032 y[1] (closed_form) 2.3880228281929368 y[1] (numeric) 2.388022828193038 absolute error 1.0125233984581428e-13 relative error 4.240007199698082e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5500825669732294 y[1] (closed_form) 2.3972239421438593 y[1] (numeric) 2.3972239421439627 absolute error 1.0347278589506459e-13 relative error 4.3163587713264676e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.560087111824427 y[1] (closed_form) 2.406385297917509 y[1] (numeric) 2.4063852979176135 absolute error 1.0436096431476471e-13 relative error 4.336835186164033e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5700916566756242 y[1] (closed_form) 2.4155059785530284 y[1] (numeric) 2.4155059785531363 absolute error 1.0791367799356522e-13 relative error 4.467539263066086e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5800962015268216 y[1] (closed_form) 2.424585071160737 y[1] (numeric) 2.424585071160846 absolute error 1.092459456231154e-13 relative error 4.5057584047077965e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.590100746378019 y[1] (closed_form) 2.4336216670135027 y[1] (numeric) 2.4336216670136124 absolute error 1.0969003483296547e-13 relative error 4.507275568744222e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6001052912292164 y[1] (closed_form) 2.4426148616376993 y[1] (numeric) 2.442614861637809 absolute error 1.0969003483296547e-13 relative error 4.490680727268712e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.610109836080414 y[1] (closed_form) 2.4515637549037312 y[1] (numeric) 2.451563754903841 absolute error 1.0969003483296547e-13 relative error 4.4742884868304315e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.620114380931611 y[1] (closed_form) 2.4604674511161306 y[1] (numeric) 2.4604674511162408 absolute error 1.1013412404281553e-13 relative error 4.476146351493326e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6301189257828086 y[1] (closed_form) 2.469325059103206 y[1] (numeric) 2.4693250591033173 absolute error 1.1146639167236572e-13 relative error 4.514042866144459e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.640123470634006 y[1] (closed_form) 2.47813569230624 y[1] (numeric) 2.478135692306351 absolute error 1.1102230246251565e-13 relative error 4.480073581410484e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6501280154852034 y[1] (closed_form) 2.486898468868225 y[1] (numeric) 2.486898468868336 absolute error 1.1102230246251565e-13 relative error 4.464287700214852e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6601325603364008 y[1] (closed_form) 2.4956125117221304 y[1] (numeric) 2.49561251172224 absolute error 1.0969003483296547e-13 relative error 4.395315150799288e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.670137105187598 y[1] (closed_form) 2.504276948678684 y[1] (numeric) 2.504276948678794 absolute error 1.1013412404281553e-13 relative error 4.397841225225704e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6801416500387956 y[1] (closed_form) 2.512890912513674 y[1] (numeric) 2.5128909125137864 absolute error 1.1235457009206584e-13 relative error 4.471128035545175e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899848312633607 y[1] (closed_form) 2.5213158459635214 y[1] (numeric) 2.521315845963634 absolute error 1.1235457009206584e-13 relative error 4.456187838264647e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699989376114558 y[1] (closed_form) 2.5298271307610127 y[1] (numeric) 2.5298271307611246 absolute error 1.1191048088221578e-13 relative error 4.4236414228252545e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7099939209657555 y[1] (closed_form) 2.5382853851170992 y[1] (numeric) 2.5382853851172102 absolute error 1.1102230246251565e-13 relative error 4.373909376521657e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.719998465816953 y[1] (closed_form) 2.5466897624444007 y[1] (numeric) 2.5466897624445126 absolute error 1.1191048088221578e-13 relative error 4.3943507580915645e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7300030106681503 y[1] (closed_form) 2.555039421548096 y[1] (numeric) 2.5550394215482077 absolute error 1.1191048088221578e-13 relative error 4.379990380516686e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7400075555193477 y[1] (closed_form) 2.5633335267101125 y[1] (numeric) 2.563333526710223 absolute error 1.1057821325266559e-13 relative error 4.313844144760444e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.750012100370545 y[1] (closed_form) 2.571571247772778 y[1] (numeric) 2.57157124777289 absolute error 1.1191048088221578e-13 relative error 4.351832794021972e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7600166452217425 y[1] (closed_form) 2.579751760221909 y[1] (numeric) 2.5797517602220204 absolute error 1.1146639167236572e-13 relative error 4.320818514056462e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.77002119007294 y[1] (closed_form) 2.5878742452693366 y[1] (numeric) 2.58787424526945 absolute error 1.1324274851176597e-13 relative error 4.3758984316480985e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7800257349241373 y[1] (closed_form) 2.5959378899348597 y[1] (numeric) 2.5959378899349734 absolute error 1.1368683772161603e-13 relative error 4.379412857388078e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7900302797753347 y[1] (closed_form) 2.6039418871276157 y[1] (numeric) 2.6039418871277302 absolute error 1.1457501614131615e-13 relative error 4.400060412550251e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.800034824626532 y[1] (closed_form) 2.611885435726863 y[1] (numeric) 2.611885435726978 absolute error 1.1501910535116622e-13 relative error 4.403681102466024e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8100393694777295 y[1] (closed_form) 2.619767740662164 y[1] (numeric) 2.6197677406622817 absolute error 1.176836406102666e-13 relative error 4.49214022997784e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.820043914328927 y[1] (closed_form) 2.627588012992965 y[1] (numeric) 2.6275880129930833 absolute error 1.1812772982011666e-13 relative error 4.495671666790821e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8300484591801243 y[1] (closed_form) 2.6353454699875605 y[1] (numeric) 2.635345469987679 absolute error 1.1857181902996672e-13 relative error 4.499289386545834e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8400530040313217 y[1] (closed_form) 2.643039335201437 y[1] (numeric) 2.643039335201556 absolute error 1.1901590823981678e-13 relative error 4.5029942102903316e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.850057548882519 y[1] (closed_form) 2.6506688385549886 y[1] (numeric) 2.650668838555108 absolute error 1.1945999744966684e-13 relative error 4.50678695550631e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8600620937337164 y[1] (closed_form) 2.6582332164105917 y[1] (numeric) 2.658233216410712 absolute error 1.2034817586936697e-13 relative error 4.5273746158312225e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.870066638584914 y[1] (closed_form) 2.6657317116490415 y[1] (numeric) 2.6657317116491615 absolute error 1.199040866595169e-13 relative error 4.497980278193237e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8800711834361112 y[1] (closed_form) 2.6731635737453274 y[1] (numeric) 2.673163573745447 absolute error 1.1945999744966684e-13 relative error 4.46886223585238e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8900757282873086 y[1] (closed_form) 2.6805280588437568 y[1] (numeric) 2.6805280588438776 absolute error 1.2079226507921703e-13 relative error 4.506286165544586e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.900080273138506 y[1] (closed_form) 2.6878244298324065 y[1] (numeric) 2.687824429832529 absolute error 1.2256862191861728e-13 relative error 4.560142416975493e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9100848179897034 y[1] (closed_form) 2.6950519564168998 y[1] (numeric) 2.6950519564170237 absolute error 1.2390088954816747e-13 relative error 4.597346973336091e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.920089362840901 y[1] (closed_form) 2.7022099151935017 y[1] (numeric) 2.7022099151936283 absolute error 1.2656542480726785e-13 relative error 4.683774716969191e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.930093907692098 y[1] (closed_form) 2.7092975897215257 y[1] (numeric) 2.7092975897216514 absolute error 1.2567724638756772e-13 relative error 4.63873909106033e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9400984525432956 y[1] (closed_form) 2.716314270595041 y[1] (numeric) 2.7163142705951673 absolute error 1.2612133559741778e-13 relative error 4.643105437493777e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.950102997394493 y[1] (closed_form) 2.723259255513878 y[1] (numeric) 2.7232592555140047 absolute error 1.2656542480726785e-13 relative error 4.647571638690162e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9601075422456904 y[1] (closed_form) 2.7301318493539215 y[1] (numeric) 2.730131849354047 absolute error 1.2567724638756772e-13 relative error 4.603339813691009e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.970112087096888 y[1] (closed_form) 2.7369313642366837 y[1] (numeric) 2.7369313642368103 absolute error 1.2656542480726785e-13 relative error 4.624355088369792e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.980116631948085 y[1] (closed_form) 2.743657119598157 y[1] (numeric) 2.7436571195982835 absolute error 1.2656542480726785e-13 relative error 4.613019021334741e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9901211767992826 y[1] (closed_form) 2.75030844225693 y[1] (numeric) 2.750308442257059 absolute error 1.2878587085651816e-13 relative error 4.6825973726363285e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.00012572165048 y[1] (closed_form) 2.756884666481568 y[1] (numeric) 2.7568846664816964 absolute error 1.283417816466681e-13 relative error 4.655319216181151e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.010130266501678 y[1] (closed_form) 2.763385134057242 y[1] (numeric) 2.763385134057372 absolute error 1.2967404927621828e-13 relative error 4.6925796798301855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.020134811352875 y[1] (closed_form) 2.769809194351615 y[1] (numeric) 2.7698091943517453 absolute error 1.3011813848606835e-13 relative error 4.69772931476342e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.030139356204073 y[1] (closed_form) 2.7761562043799595 y[1] (numeric) 2.7761562043800923 absolute error 1.3278267374516872e-13 relative error 4.782968391176139e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.04014390105527 y[1] (closed_form) 2.782425528869516 y[1] (numeric) 2.7824255288696493 absolute error 1.3322676295501878e-13 relative error 4.7881519764932604e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049987082279835 y[1] (closed_form) 2.7885173099318052 y[1] (numeric) 2.78851730993194 absolute error 1.3455903058456897e-13 relative error 4.825468721507047e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059991627131033 y[1] (closed_form) 2.7946306666737804 y[1] (numeric) 2.7946306666739154 absolute error 1.3500311979441904e-13 relative error 4.830803633708857e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.06999617198223 y[1] (closed_form) 2.8006644887665066 y[1] (numeric) 2.8006644887666434 absolute error 1.3677947663381929e-13 relative error 4.88382229226111e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.080000716833427 y[1] (closed_form) 2.8066181722842307 y[1] (numeric) 2.8066181722843684 absolute error 1.376676550535194e-13 relative error 4.905108091047363e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.090005261684625 y[1] (closed_form) 2.8124911213222763 y[1] (numeric) 2.8124911213224153 absolute error 1.389999226830696e-13 relative error 4.942235075135796e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.100009806535822 y[1] (closed_form) 2.8182827480566877 y[1] (numeric) 2.8182827480568267 absolute error 1.389999226830696e-13 relative error 4.932078684401531e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1100143513870195 y[1] (closed_form) 2.8239924728030648 y[1] (numeric) 2.8239924728032055 absolute error 1.4077627952246985e-13 relative error 4.985009021031023e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.120018896238217 y[1] (closed_form) 2.8296197240745853 y[1] (numeric) 2.829619724074725 absolute error 1.3988810110276972e-13 relative error 4.943706743086105e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.130023441089414 y[1] (closed_form) 2.8351639386392034 y[1] (numeric) 2.8351639386393437 absolute error 1.4033219031261979e-13 relative error 4.9497028513975526e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.140027985940612 y[1] (closed_form) 2.840624561576024 y[1] (numeric) 2.840624561576165 absolute error 1.412203687323199e-13 relative error 4.971454892087836e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.150032530791809 y[1] (closed_form) 2.8460010463308443 y[1] (numeric) 2.846001046330986 absolute error 1.4166445794216997e-13 relative error 4.977667106792119e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1600370756430065 y[1] (closed_form) 2.851292854770861 y[1] (numeric) 2.8512928547710037 absolute error 1.425526363618701e-13 relative error 4.99957891464383e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.170041620494204 y[1] (closed_form) 2.8564994572385283 y[1] (numeric) 2.856499457238671 absolute error 1.425526363618701e-13 relative error 4.990466075553902e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.180046165345401 y[1] (closed_form) 2.8616203326045744 y[1] (numeric) 2.8616203326047183 absolute error 1.438849039914203e-13 relative error 5.028092034153947e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.190050710196599 y[1] (closed_form) 2.866654968320159 y[1] (numeric) 2.8666549683203053 absolute error 1.461053500406706e-13 relative error 5.0967190560183585e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.200055255047796 y[1] (closed_form) 2.871602860468177 y[1] (numeric) 2.871602860468322 absolute error 1.4521717162097048e-13 relative error 5.057007485961855e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2100597998989935 y[1] (closed_form) 2.876463513813693 y[1] (numeric) 2.876463513813839 absolute error 1.4566126083082054e-13 relative error 5.0639008675517285e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.220064344750191 y[1] (closed_form) 2.8812364418535115 y[1] (numeric) 2.8812364418536576 absolute error 1.461053500406706e-13 relative error 5.0709253818364315e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.230068889601388 y[1] (closed_form) 2.885921166864869 y[1] (numeric) 2.885921166865014 absolute error 1.4477308241112041e-13 relative error 5.0165293519918e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.240073434452586 y[1] (closed_form) 2.890517219953252 y[1] (numeric) 2.8905172199533986 absolute error 1.4654943925052066e-13 relative error 5.070007479591863e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.250077979303783 y[1] (closed_form) 2.895024141099325 y[1] (numeric) 2.8950241410994737 absolute error 1.4876988529977098e-13 relative error 5.138813289594149e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2600825241549805 y[1] (closed_form) 2.899441479204978 y[1] (numeric) 2.899441479205127 absolute error 1.4921397450962104e-13 relative error 5.1463006092654535e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.270087069006178 y[1] (closed_form) 2.903768792138474 y[1] (numeric) 2.9037687921386226 absolute error 1.4876988529977098e-13 relative error 5.1233378395188876e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.280091613857375 y[1] (closed_form) 2.9080056467787023 y[1] (numeric) 2.9080056467788524 absolute error 1.5010215292932116e-13 relative error 5.161687120366993e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.290096158708573 y[1] (closed_form) 2.912151619058532 y[1] (numeric) 2.9121516190586805 absolute error 1.4832579608992091e-13 relative error 5.093340440078909e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.30010070355977 y[1] (closed_form) 2.916206294007254 y[1] (numeric) 2.9162062940074045 absolute error 1.5054624213917123e-13 relative error 5.1624002886401e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.310105248410967 y[1] (closed_form) 2.9201692657921163 y[1] (numeric) 2.920169265792269 absolute error 1.5276668818842154e-13 relative error 5.2314326425520585e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.320109793262165 y[1] (closed_form) 2.9240401377589453 y[1] (numeric) 2.924040137759098 absolute error 1.5276668818842154e-13 relative error 5.2245072225823004e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.330114338113362 y[1] (closed_form) 2.9278185224718447 y[1] (numeric) 2.927818522471999 absolute error 1.5409895581797173e-13 relative error 5.263268697674332e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.34011888296456 y[1] (closed_form) 2.9315040417519755 y[1] (numeric) 2.931504041752131 absolute error 1.5543122344752192e-13 relative error 5.302098214220113e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.350123427815757 y[1] (closed_form) 2.9350963267154087 y[1] (numeric) 2.9350963267155645 absolute error 1.5587531265737198e-13 relative error 5.310739250313057e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.360127972666954 y[1] (closed_form) 2.9385950178100435 y[1] (numeric) 2.9385950178101994 absolute error 1.5587531265737198e-13 relative error 5.304416284403027e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.370132517518152 y[1] (closed_form) 2.941999764851599 y[1] (numeric) 2.9419997648517535 absolute error 1.545430450278218e-13 relative error 5.252993112853538e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.380137062369349 y[1] (closed_form) 2.9453102270586617 y[1] (numeric) 2.9453102270588163 absolute error 1.545430450278218e-13 relative error 5.247088867177038e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.390141607220547 y[1] (closed_form) 2.9485260730867955 y[1] (numeric) 2.9485260730869496 absolute error 1.5409895581797173e-13 relative error 5.226304668781388e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399984788445112 y[1] (closed_form) 2.951597398768599 y[1] (numeric) 2.9515973987687545 absolute error 1.5543122344752192e-13 relative error 5.266003538028849e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.409989333296309 y[1] (closed_form) 2.9546245950440415 y[1] (numeric) 2.9546245950441965 absolute error 1.5498713423767185e-13 relative error 5.245577881455415e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4199938781475065 y[1] (closed_form) 2.9575562428646918 y[1] (numeric) 2.9575562428648485 absolute error 1.567634910770721e-13 relative error 5.3004398971372005e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.429998422998704 y[1] (closed_form) 2.960392048801676 y[1] (numeric) 2.9603920488018334 absolute error 1.5720758028692217e-13 relative error 5.3103635496709805e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.440002967849901 y[1] (closed_form) 2.9631317290189436 y[1] (numeric) 2.9631317290191017 absolute error 1.580957587066223e-13 relative error 5.335427958140958e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.450007512701099 y[1] (closed_form) 2.9657750093016744 y[1] (numeric) 2.9657750093018342 absolute error 1.5987211554602254e-13 relative error 5.390567896910907e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.460012057552296 y[1] (closed_form) 2.9683216250837257 y[1] (numeric) 2.968321625083886 absolute error 1.603162047558726e-13 relative error 5.400904113662234e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4700166024034935 y[1] (closed_form) 2.970771321474114 y[1] (numeric) 2.970771321474274 absolute error 1.5987211554602254e-13 relative error 5.3815019146843335e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.480021147254691 y[1] (closed_form) 2.9731238532825235 y[1] (numeric) 2.9731238532826842 absolute error 1.6076029396572267e-13 relative error 5.4071172914048896e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.490025692105888 y[1] (closed_form) 2.9753789850438515 y[1] (numeric) 2.975378985044012 absolute error 1.6076029396572267e-13 relative error 5.40301906996743e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.500030236957086 y[1] (closed_form) 2.9775364910417723 y[1] (numeric) 2.9775364910419335 absolute error 1.6120438317557273e-13 relative error 5.4140187252305e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.510034781808283 y[1] (closed_form) 2.9795961553313326 y[1] (numeric) 2.979596155331494 absolute error 1.6120438317557273e-13 relative error 5.410276251267572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5200393266594805 y[1] (closed_form) 2.981557771760563 y[1] (numeric) 2.9815577717607247 absolute error 1.616484723854228e-13 relative error 5.421611277046358e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.530043871510678 y[1] (closed_form) 2.9834211439911122 y[1] (numeric) 2.983421143991273 absolute error 1.6076029396572267e-13 relative error 5.388454603182955e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.540048416361875 y[1] (closed_form) 2.9851860855178995 y[1] (numeric) 2.985186085518061 absolute error 1.616484723854228e-13 relative error 5.415021635322222e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.550052961213073 y[1] (closed_form) 2.9868524196877813 y[1] (numeric) 2.9868524196879447 absolute error 1.6342482922482304e-13 relative error 5.47147318520364e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.56005750606427 y[1] (closed_form) 2.9884199797172326 y[1] (numeric) 2.988419979717397 absolute error 1.6431300764452317e-13 relative error 5.498323821943883e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.5700620509154675 y[1] (closed_form) 2.98988860870904 y[1] (numeric) 2.989888608709205 absolute error 1.6475709685437323e-13 relative error 5.510476088455726e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.580066595766665 y[1] (closed_form) 2.9912581596680066 y[1] (numeric) 2.991258159668172 absolute error 1.6564527527407336e-13 relative error 5.537645580295148e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.590071140617862 y[1] (closed_form) 2.992528495515663 y[1] (numeric) 2.9925284955158276 absolute error 1.6475709685437323e-13 relative error 5.505614970793547e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.60007568546906 y[1] (closed_form) 2.9936994891039883 y[1] (numeric) 2.9936994891041535 absolute error 1.652011860642233e-13 relative error 5.518295562580594e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.610080230320257 y[1] (closed_form) 2.9947710232281386 y[1] (numeric) 2.994771023228305 absolute error 1.6653345369377348e-13 relative error 5.560807567660479e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.620084775171454 y[1] (closed_form) 2.995742990638174 y[1] (numeric) 2.9957429906383397 absolute error 1.6564527527407336e-13 relative error 5.529355348296632e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.630089320022652 y[1] (closed_form) 2.996615294049796 y[1] (numeric) 2.996615294049961 absolute error 1.652011860642233e-13 relative error 5.512926080042828e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.640093864873849 y[1] (closed_form) 2.9973878461540835 y[1] (numeric) 2.997387846154249 absolute error 1.6564527527407336e-13 relative error 5.526321042724286e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.650098409725047 y[1] (closed_form) 2.998060569626233 y[1] (numeric) 2.998060569626398 absolute error 1.652011860642233e-13 relative error 5.510268462815575e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.660102954576244 y[1] (closed_form) 2.998633397133296 y[1] (numeric) 2.998633397133462 absolute error 1.6608936448392342e-13 relative error 5.5388352788542084e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.670107499427441 y[1] (closed_form) 2.9991062713409202 y[1] (numeric) 2.999106271341086 absolute error 1.6564527527407336e-13 relative error 5.523154576313572e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.680112044278639 y[1] (closed_form) 2.9994791449190865 y[1] (numeric) 2.9994791449192517 absolute error 1.652011860642233e-13 relative error 5.507662433461585e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.690116589129836 y[1] (closed_form) 2.9997519805468484 y[1] (numeric) 2.999751980547014 absolute error 1.6564527527407336e-13 relative error 5.52196569410637e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.700121133981034 y[1] (closed_form) 2.9999247509160645 y[1] (numeric) 2.9999247509162315 absolute error 1.6697754290362354e-13 relative error 5.5660577103687305e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.710125678832231 y[1] (closed_form) 2.999997438734135 y[1] (numeric) 2.999997438734302 absolute error 1.6697754290362354e-13 relative error 5.565922848723518e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.720130223683428 y[1] (closed_form) 2.999970036725729 y[1] (numeric) 2.9999700367258955 absolute error 1.6653345369377348e-13 relative error 5.551170566874523e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.730134768534626 y[1] (closed_form) 2.999842547633517 y[1] (numeric) 2.9998425476336834 absolute error 1.6653345369377348e-13 relative error 5.551406483821845e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.740139313385823 y[1] (closed_form) 2.9996149842178923 y[1] (numeric) 2.999614984218059 absolute error 1.6653345369377348e-13 relative error 5.55182763687903e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.750143858237021 y[1] (closed_form) 2.9992873692556956 y[1] (numeric) 2.9992873692558644 absolute error 1.687538997430238e-13 relative error 5.62646652244269e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759987039461586 y[1] (closed_form) 2.9988674262378687 y[1] (numeric) 2.998867426238038 absolute error 1.6919798895287386e-13 relative error 5.642062982595255e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769991584312783 y[1] (closed_form) 2.9983414286897023 y[1] (numeric) 2.998341428689871 absolute error 1.687538997430238e-13 relative error 5.628241604785167e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799961291639805 y[1] (closed_form) 2.997715507065243 y[1] (numeric) 2.9977155070654127 absolute error 1.6964207816272392e-13 relative error 5.659045288417084e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.790000674015178 y[1] (closed_form) 2.9969897240130376 y[1] (numeric) 2.9969897240132055 absolute error 1.6786572132332367e-13 relative error 5.601144374247224e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.800005218866375 y[1] (closed_form) 2.996164152176772 y[1] (numeric) 2.9961641521769407 absolute error 1.687538997430238e-13 relative error 5.6323315803782235e-12% Desired digits 12 Estimated correct digits 12 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.810009763717573 y[1] (closed_form) 2.995238874188 y[1] (numeric) 2.99523887418817 absolute error 1.7008616737257398e-13 relative error 5.678551011016904e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.82001430856877 y[1] (closed_form) 2.9942139826578713 y[1] (numeric) 2.994213982658042 absolute error 1.7053025658242404e-13 relative error 5.6953263050040804e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8300188534199675 y[1] (closed_form) 2.9930895801678643 y[1] (numeric) 2.993089580168038 absolute error 1.7363888105137448e-13 relative error 5.801325900898567e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.840023398271165 y[1] (closed_form) 2.991865779259518 y[1] (numeric) 2.99186577925969 absolute error 1.7186252421197423e-13 relative error 5.744326012329e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.850027943122362 y[1] (closed_form) 2.9905427024231668 y[1] (numeric) 2.990542702423338 absolute error 1.7141843500212417e-13 relative error 5.7320176322253426e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.86003248797356 y[1] (closed_form) 2.9891204820856796 y[1] (numeric) 2.9891204820858532 absolute error 1.7363888105137448e-13 relative error 5.80902918072465e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.870037032824757 y[1] (closed_form) 2.987599260597209 y[1] (numeric) 2.987599260597383 absolute error 1.7408297026122455e-13 relative error 5.826851430751327e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8800415776759545 y[1] (closed_form) 2.985979190216939 y[1] (numeric) 2.9859791902171122 absolute error 1.7319479184152442e-13 relative error 5.800267878924547e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.890046122527152 y[1] (closed_form) 2.9842604330978486 y[1] (numeric) 2.984260433098023 absolute error 1.745270594710746e-13 relative error 5.848251631641432e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.900050667378349 y[1] (closed_form) 2.9824431612704805 y[1] (numeric) 2.9824431612706546 absolute error 1.7408297026122455e-13 relative error 5.836924992296166e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.910055212229547 y[1] (closed_form) 2.9805275566257214 y[1] (numeric) 2.980527556625895 absolute error 1.7363888105137448e-13 relative error 5.8257767375904555e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.920059757080744 y[1] (closed_form) 2.9785138108966 y[1] (numeric) 2.9785138108967733 absolute error 1.7319479184152442e-13 relative error 5.814805733245496e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9300643019319415 y[1] (closed_form) 2.9764021256390922 y[1] (numeric) 2.9764021256392654 absolute error 1.7319479184152442e-13 relative error 5.818931197152538e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.940068846783139 y[1] (closed_form) 2.974192712211951 y[1] (numeric) 2.974192712212124 absolute error 1.7275070263167436e-13 relative error 5.808322437290793e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.950073391634336 y[1] (closed_form) 2.971885791755549 y[1] (numeric) 2.971885791755722 absolute error 1.7319479184152442e-13 relative error 5.827774146704843e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.960077936485534 y[1] (closed_form) 2.9694815951697464 y[1] (numeric) 2.9694815951699227 absolute error 1.7630341631047486e-13 relative error 5.937178280453249e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.970082481336731 y[1] (closed_form) 2.9669803630907774 y[1] (numeric) 2.966980363090955 absolute error 1.7763568394002505e-13 relative error 5.9870866066325266e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.980087026187928 y[1] (closed_form) 2.964382345867169 y[1] (numeric) 2.964382345867347 absolute error 1.7763568394002505e-13 relative error 5.992333755046074e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.990091571039126 y[1] (closed_form) 2.96168780353468 y[1] (numeric) 2.961687803534859 absolute error 1.7896795156957523e-13 relative error 6.042768969638957e-12% Desired digits 12 Estimated correct digits 11 Correct digits 13 h 0.00016136362663221634 NO POLE (given) for Equation 1 NO 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 , 2 ) = sin ( x ) ; Iterations 22740 Total Elapsed Time 4 Seconds Elapsed Time(since restart) 4 Seconds Time to Timeout 2 Minutes 56.0 Seconds Percent Done 100.00525468401949%