##############ECHO OF PROBLEM################# ##############temp/lin_arcsin_m0d2_m0d5postode.ode################# diff ( y , x , 1 ) = arcsin ( x + 0.0001 ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=30 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-0.2) x_end=c(-0.5) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_display_interval=0.0001 # 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=0 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $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) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return((c(x) + c(0.0001)) * arcsin(c(x) + c(0.0001)) + sqrt(c(1.0) - (c(x) + c(0.0001)) * (c(x) +c(0.0001)))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.201 y[1] (closed_form) 1.02024911677731 y[1] (numeric) 1.0202491167418417 absolute error 3.5468294967699876e-11 relative error 3.4764347632796382e-09% Desired digits 8 Estimated correct digits 14 Correct digits 11 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.202 y[1] (closed_form) 1.0204519037849704 y[1] (numeric) 1.0204519037138344 absolute error 7.113598599062243e-11 relative error 6.971027809029616e-09% Desired digits 8 Estimated correct digits 14 Correct digits 11 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.203 y[1] (closed_form) 1.020655711819614 y[1] (numeric) 1.0206557117126105 absolute error 1.0700351715797751e-10 relative error 1.0483801336614557e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20400000000000001 y[1] (closed_form) 1.020860541096747 y[1] (numeric) 1.0208605409536755 absolute error 1.430715546035799e-10 relative error 1.401479916638496e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20500000000000002 y[1] (closed_form) 1.021066391833078 y[1] (numeric) 1.021066391653738 absolute error 1.7934009832742959e-10 relative error 1.756399973222777e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20600000000000002 y[1] (closed_form) 1.02127326424652 y[1] (numeric) 1.0212732640307103 absolute error 2.1580981446334135e-10 relative error 2.1131446598923996e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20700000000000002 y[1] (closed_form) 1.0214811585561927 y[1] (numeric) 1.021481158303712 absolute error 2.524807030113152e-10 relative error 2.471711797094552e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20800000000000002 y[1] (closed_form) 1.0216900749824245 y[1] (numeric) 1.021690074693071 absolute error 2.893534301051659e-10 relative error 2.832105715719549e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.20900000000000002 y[1] (closed_form) 1.021900013746755 y[1] (numeric) 1.0219000134203269 absolute error 3.264282177894984e-10 relative error 3.194326386127176e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21000000000000002 y[1] (closed_form) 1.0221109750719375 y[1] (numeric) 1.022110974708232 absolute error 3.637055101535225e-10 relative error 3.558375939832995e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21100000000000002 y[1] (closed_form) 1.0223229591819403 y[1] (numeric) 1.0223229587807545 absolute error 4.0118575128644807e-10 relative error 3.9242564953004256e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21200000000000002 y[1] (closed_form) 1.02253596630195 y[1] (numeric) 1.0225359658630806 absolute error 4.38869385277485e-10 relative error 4.291970157926836e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21300000000000002 y[1] (closed_form) 1.0227499966583729 y[1] (numeric) 1.0227499961816164 absolute error 4.767564121266332e-10 relative error 4.661514677920681e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21400000000000002 y[1] (closed_form) 1.0229650504788381 y[1] (numeric) 1.0229650499639906 absolute error 5.148474979677076e-10 relative error 5.032894307842808e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21500000000000002 y[1] (closed_form) 1.0231811279921996 y[1] (numeric) 1.0231811274390565 absolute error 5.531430868899179e-10 relative error 5.4061111151977274e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21600000000000003 y[1] (closed_form) 1.0233982294285382 y[1] (numeric) 1.0233982288368946 absolute error 5.91643622982474e-10 relative error 5.7811671543817856e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21700000000000003 y[1] (closed_form) 1.023616355019164 y[1] (numeric) 1.0236163543888146 absolute error 6.303493282899808e-10 relative error 6.158062297453028e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21800000000000003 y[1] (closed_form) 1.023835504996619 y[1] (numeric) 1.0238355043273586 absolute error 6.692604248570433e-10 relative error 6.536796405192584e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21900000000000003 y[1] (closed_form) 1.0240556795946796 y[1] (numeric) 1.024055678886302 absolute error 7.083775788174762e-10 relative error 6.917373663684493e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22000000000000003 y[1] (closed_form) 1.0242768790483587 y[1] (numeric) 1.0242768783006575 absolute error 7.477012342604894e-10 relative error 7.299796076185651e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22100000000000003 y[1] (closed_form) 1.0244991035939082 y[1] (numeric) 1.0244991028066763 absolute error 7.872318352752927e-10 relative error 7.684065632792748e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22200000000000003 y[1] (closed_form) 1.0247223534688208 y[1] (numeric) 1.0247223526418514 absolute error 8.269693818618862e-10 relative error 8.070179976678417e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22300000000000003 y[1] (closed_form) 1.0249466289118339 y[1] (numeric) 1.024946628044919 absolute error 8.669147621986895e-10 relative error 8.458145407230386e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22400000000000003 y[1] (closed_form) 1.0251719301629303 y[1] (numeric) 1.0251719292558625 absolute error 9.070677542410976e-10 relative error 8.847957377226839e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22500000000000003 y[1] (closed_form) 1.0253982574633425 y[1] (numeric) 1.025398256515913 absolute error 9.474294682121354e-10 relative error 9.2396243246591e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22600000000000003 y[1] (closed_form) 1.0256256110555535 y[1] (numeric) 1.0256256100675536 absolute error 9.879999041118026e-10 relative error 9.633143843736241e-08% Desired digits 8 Estimated correct digits 13 Correct digits 10 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22700000000000004 y[1] (closed_form) 1.0258539911833002 y[1] (numeric) 1.0258539901545207 absolute error 1.0287795060293092e-09 relative error 1.0028517848262544e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22800000000000004 y[1] (closed_form) 1.0260833980915762 y[1] (numeric) 1.026083397021807 absolute error 1.069769162143075e-09 relative error 1.0425752566825955e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22900000000000004 y[1] (closed_form) 1.0263138320266332 y[1] (numeric) 1.0263138309156645 absolute error 1.1109686504084948e-09 relative error 1.0824843393318554e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23000000000000004 y[1] (closed_form) 1.0265452932359846 y[1] (numeric) 1.0265452920836058 absolute error 1.1523788590039885e-09 relative error 1.1225796529360512e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23100000000000004 y[1] (closed_form) 1.0267777819684074 y[1] (numeric) 1.0267777807744076 absolute error 1.193999787929556e-09 relative error 1.1628609509260826e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23200000000000004 y[1] (closed_form) 1.027011298473946 y[1] (numeric) 1.0270112972381136 absolute error 1.2358323253636172e-09 relative error 1.2033288506172835e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23300000000000004 y[1] (closed_form) 1.0272458430039124 y[1] (numeric) 1.0272458417260357 absolute error 1.2778766933507768e-09 relative error 1.2439833191380554e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23400000000000004 y[1] (closed_form) 1.0274814158108916 y[1] (numeric) 1.0274814144907585 absolute error 1.3201331139356398e-09 relative error 1.2848243224854695e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23500000000000004 y[1] (closed_form) 1.0277180171487426 y[1] (numeric) 1.0277180157861399 absolute error 1.3626026973412309e-09 relative error 1.325852689750033e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23600000000000004 y[1] (closed_form) 1.0279556472726006 y[1] (numeric) 1.0279556458673156 absolute error 1.40528499947834e-09 relative error 1.3670677360515309e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23700000000000004 y[1] (closed_form) 1.0281943064388814 y[1] (numeric) 1.0281943049907003 absolute error 1.448181130569992e-09 relative error 1.408470287669382e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23800000000000004 y[1] (closed_form) 1.028433994905283 y[1] (numeric) 1.0284339934139917 absolute error 1.4912913126607918e-09 relative error 1.450060305326777e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23900000000000005 y[1] (closed_form) 1.0286747129307878 y[1] (numeric) 1.0286747113961718 absolute error 1.5346159898399492e-09 relative error 1.4918379644695345e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24000000000000005 y[1] (closed_form) 1.0289164607756667 y[1] (numeric) 1.0289164591975108 absolute error 1.5781558282412789e-09 relative error 1.5338036550135066e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24100000000000005 y[1] (closed_form) 1.0291592387014803 y[1] (numeric) 1.0291592370795695 absolute error 1.621910827864781e-09 relative error 1.57595711807552e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24200000000000005 y[1] (closed_form) 1.029403046971083 y[1] (numeric) 1.0294030453052012 absolute error 1.665881876888875e-09 relative error 1.6182989566531476e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24300000000000005 y[1] (closed_form) 1.029647885848625 y[1] (numeric) 1.029647884138556 absolute error 1.710069197358166e-09 relative error 1.660829125044767e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24400000000000005 y[1] (closed_form) 1.0298937555995555 y[1] (numeric) 1.0298937538450823 absolute error 1.754473233361864e-09 relative error 1.7035477920151992e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24500000000000005 y[1] (closed_form) 1.0301406564906248 y[1] (numeric) 1.0301406546915302 absolute error 1.7990946510337835e-09 relative error 1.7464553405383984e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24600000000000005 y[1] (closed_form) 1.030388588789888 y[1] (numeric) 1.0303885869459541 absolute error 1.8439338944631345e-09 relative error 1.7895519365453112e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24700000000000005 y[1] (closed_form) 1.030637552766707 y[1] (numeric) 1.030637550877716 absolute error 1.888991185694522e-09 relative error 1.832837529181425e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24800000000000005 y[1] (closed_form) 1.0308875486917548 y[1] (numeric) 1.0308875467574874 absolute error 1.9342674129063653e-09 relative error 1.8763127126339262e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24900000000000005 y[1] (closed_form) 1.0311385768370158 y[1] (numeric) 1.0311385748572532 absolute error 1.979762576098665e-09 relative error 1.9199772179715381e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25000000000000006 y[1] (closed_form) 1.0313906374757915 y[1] (numeric) 1.0313906354503142 absolute error 2.025477341405235e-09 relative error 1.9638314211988148e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25100000000000006 y[1] (closed_form) 1.0316437308827018 y[1] (numeric) 1.0316437288112894 absolute error 2.071412374959891e-09 relative error 2.0078756967655257e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25200000000000006 y[1] (closed_form) 1.0318978573336883 y[1] (numeric) 1.03189785521612 absolute error 2.1175683428964476e-09 relative error 2.052110417564015e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25300000000000006 y[1] (closed_form) 1.032153017106017 y[1] (numeric) 1.0321530149420717 absolute error 2.1639452452149044e-09 relative error 2.0965353095437748e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25400000000000006 y[1] (closed_form) 1.0324092104782816 y[1] (numeric) 1.0324092082677379 absolute error 2.2105437480490764e-09 relative error 2.1411507429549214e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25500000000000006 y[1] (closed_form) 1.0326664377304065 y[1] (numeric) 1.0326664354730422 absolute error 2.2573642954881734e-09 relative error 2.1859568714651045e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25600000000000006 y[1] (closed_form) 1.0329246991436498 y[1] (numeric) 1.032924696839242 absolute error 2.304407775710615e-09 relative error 2.2309542773264045e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25700000000000006 y[1] (closed_form) 1.0331839950006059 y[1] (numeric) 1.0331839926489317 absolute error 2.3516741887164017e-09 relative error 2.2761426813575665e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25800000000000006 y[1] (closed_form) 1.033444325585209 y[1] (numeric) 1.0334443231860446 absolute error 2.3991644226839526e-09 relative error 2.3215226628927267e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25900000000000006 y[1] (closed_form) 1.0337056911827358 y[1] (numeric) 1.0337056887358573 absolute error 2.446878477613268e-09 relative error 2.367093940262263e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26000000000000006 y[1] (closed_form) 1.033968092079809 y[1] (numeric) 1.0339680895849916 absolute error 2.4948174637273723e-09 relative error 2.4128573046283175e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26100000000000007 y[1] (closed_form) 1.0342315285644006 y[1] (numeric) 1.0342315260214188 absolute error 2.5429818251154757e-09 relative error 2.4588129010583793e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26200000000000007 y[1] (closed_form) 1.034496000925833 y[1] (numeric) 1.0344959983344615 absolute error 2.591371561777578e-09 relative error 2.504960443982773e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26300000000000007 y[1] (closed_form) 1.0347615094547855 y[1] (numeric) 1.034761506814798 absolute error 2.6399875618920987e-09 relative error 2.5513005052566214e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26400000000000007 y[1] (closed_form) 1.0350280544432948 y[1] (numeric) 1.0350280517544643 absolute error 2.688830491592853e-09 relative error 2.597833440407642e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26500000000000007 y[1] (closed_form) 1.0352956361847587 y[1] (numeric) 1.0352956334468582 absolute error 2.7379005729244454e-09 relative error 2.644559174434538e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26600000000000007 y[1] (closed_form) 1.0355642549739406 y[1] (numeric) 1.035564252186742 absolute error 2.787198472020691e-09 relative error 2.6914780600367764e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26700000000000007 y[1] (closed_form) 1.035833911106971 y[1] (numeric) 1.035833908270246 absolute error 2.8367250770600094e-09 relative error 2.7385906626946293e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26800000000000007 y[1] (closed_form) 1.0361046048813514 y[1] (numeric) 1.036104601994871 absolute error 2.8864803880424006e-09 relative error 2.785896688851164e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2690000000000001 y[1] (closed_form) 1.0363763365959577 y[1] (numeric) 1.0363763336594927 absolute error 2.9364650711016793e-09 relative error 2.833396486788458e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2700000000000001 y[1] (closed_form) 1.0366491065510441 y[1] (numeric) 1.0366491035643641 absolute error 2.9866800144162653e-09 relative error 2.881090617396102e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2710000000000001 y[1] (closed_form) 1.0369229150482444 y[1] (numeric) 1.0369229120111192 absolute error 3.0371252179861585e-09 relative error 2.9289787831960984e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2720000000000001 y[1] (closed_form) 1.0371977623905777 y[1] (numeric) 1.0371977593027761 absolute error 3.0878015699897787e-09 relative error 2.9770615421237335e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2730000000000001 y[1] (closed_form) 1.03747364888245 y[1] (numeric) 1.0374736457437403 absolute error 3.1387097365609407e-09 relative error 3.025339236270635e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2740000000000001 y[1] (closed_form) 1.037750574829658 y[1] (numeric) 1.037750571639808 absolute error 3.1898499397442492e-09 relative error 3.073811778199061e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2750000000000001 y[1] (closed_form) 1.0380285405393934 y[1] (numeric) 1.0380285372981701 absolute error 3.241223289762729e-09 relative error 3.1224799349721965e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2760000000000001 y[1] (closed_form) 1.0383075463202445 y[1] (numeric) 1.0383075430274147 absolute error 3.2928297866163803e-09 relative error 3.1713434023340665e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2770000000000001 y[1] (closed_form) 1.0385875924822012 y[1] (numeric) 1.0385875891375311 absolute error 3.3446700964390175e-09 relative error 3.2204025165035243e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2780000000000001 y[1] (closed_form) 1.0388686793366582 y[1] (numeric) 1.038868675939913 absolute error 3.3967451074090604e-09 relative error 3.2696578258360445e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2790000000000001 y[1] (closed_form) 1.039150807196417 y[1] (numeric) 1.039150803747362 absolute error 3.449055041571114e-09 relative error 3.3191092358158407e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2800000000000001 y[1] (closed_form) 1.0394339763756917 y[1] (numeric) 1.039433972874091 absolute error 3.501600787103598e-09 relative error 3.368757291649262e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2810000000000001 y[1] (closed_form) 1.0397181871901102 y[1] (numeric) 1.0397181836357277 absolute error 3.5543825660511175e-09 relative error 3.418601896016662e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2820000000000001 y[1] (closed_form) 1.04000343995672 y[1] (numeric) 1.0400034363493185 absolute error 3.6074014886366967e-09 relative error 3.468643804473204e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2830000000000001 y[1] (closed_form) 1.040289734993989 y[1] (numeric) 1.0402897313333315 absolute error 3.660657554860336e-09 relative error 3.5188827032706307e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2840000000000001 y[1] (closed_form) 1.0405770726218122 y[1] (numeric) 1.0405770689076603 absolute error 3.7141518749450597e-09 relative error 3.569319344685324e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2850000000000001 y[1] (closed_form) 1.0408654531615125 y[1] (numeric) 1.0408654493936278 absolute error 3.767884670935473e-09 relative error 3.6199536256016035e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2860000000000001 y[1] (closed_form) 1.0411548769358456 y[1] (numeric) 1.041154873113989 absolute error 3.8218566089653905e-09 relative error 3.6707858682977553e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2870000000000001 y[1] (closed_form) 1.0414453442690044 y[1] (numeric) 1.0414453403929358 absolute error 3.876068577213232e-09 relative error 3.721816606644743e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2880000000000001 y[1] (closed_form) 1.0417368554866206 y[1] (numeric) 1.0417368515560996 absolute error 3.930521019768207e-09 relative error 3.773045946360576e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2890000000000001 y[1] (closed_form) 1.0420294109157702 y[1] (numeric) 1.0420294069305558 absolute error 3.985214380719526e-09 relative error 3.824473991782235e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2900000000000001 y[1] (closed_form) 1.042323010884976 y[1] (numeric) 1.0423230068448266 absolute error 4.0401493262010035e-09 relative error 3.8761010588941596e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2910000000000001 y[1] (closed_form) 1.0426176557242124 y[1] (numeric) 1.0426176516288854 absolute error 4.095326966435664e-09 relative error 3.9279278879955375e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2920000000000001 y[1] (closed_form) 1.042913345764908 y[1] (numeric) 1.0429133416141607 absolute error 4.1507473014235075e-09 relative error 3.9799541527385563e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2930000000000001 y[1] (closed_form) 1.0432100813399503 y[1] (numeric) 1.043210077133539 absolute error 4.206411219342954e-09 relative error 4.032180377264024e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2940000000000001 y[1] (closed_form) 1.0435078627836887 y[1] (numeric) 1.0435078585213695 absolute error 4.2623191642832126e-09 relative error 4.084606658269866e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2950000000000001 y[1] (closed_form) 1.0438066904319392 y[1] (numeric) 1.0438066861134672 absolute error 4.318472024422704e-09 relative error 4.137233516519874e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2960000000000001 y[1] (closed_form) 1.0441065646219871 y[1] (numeric) 1.044106560247117 absolute error 4.374870243850637e-09 relative error 4.1900610455739585e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2970000000000001 y[1] (closed_form) 1.044407485692592 y[1] (numeric) 1.0444074812610773 absolute error 4.431514710745432e-09 relative error 4.243089762811018e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2980000000000001 y[1] (closed_form) 1.044709453983991 y[1] (numeric) 1.0447094494955849 absolute error 4.488406091240904e-09 relative error 4.296319971188548e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2990000000000001 y[1] (closed_form) 1.0450124698379022 y[1] (numeric) 1.0450124652923576 absolute error 4.5455446073816574e-09 relative error 4.3497515470669387e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3000000000000001 y[1] (closed_form) 1.04531653359753 y[1] (numeric) 1.0453165289945987 absolute error 4.602931369390717e-09 relative error 4.4033852153370293e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3010000000000001 y[1] (closed_form) 1.0456216456075675 y[1] (numeric) 1.0456216409470007 absolute error 4.660566821357293e-09 relative error 4.4572210616864475e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3020000000000001 y[1] (closed_form) 1.0459278062142017 y[1] (numeric) 1.04592780149575 absolute error 4.718451629415199e-09 relative error 4.5112593827043546e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3030000000000001 y[1] (closed_form) 1.0462350157651161 y[1] (numeric) 1.04623501098853 absolute error 4.776586237653646e-09 relative error 4.5655002611057786e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3040000000000001 y[1] (closed_form) 1.046543274609497 y[1] (numeric) 1.046543269774525 absolute error 4.834971978340263e-09 relative error 4.619944626890241e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3050000000000001 y[1] (closed_form) 1.0468525830980344 y[1] (numeric) 1.0468525782044256 absolute error 4.893608851475051e-09 relative error 4.6745921350196256e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3060000000000001 y[1] (closed_form) 1.047162941582929 y[1] (numeric) 1.0471629366304311 absolute error 4.952497967281033e-09 relative error 4.729443499781094e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3070000000000001 y[1] (closed_form) 1.047474350417895 y[1] (numeric) 1.047474345406255 absolute error 5.011639991892025e-09 relative error 4.78449900934816e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3080000000000001 y[1] (closed_form) 1.0477868099581633 y[1] (numeric) 1.047786804887128 absolute error 5.0710353693972365e-09 relative error 4.839758738325515e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3090000000000001 y[1] (closed_form) 1.0481003205604877 y[1] (numeric) 1.0481003154298028 absolute error 5.130684987975087e-09 relative error 4.895223183627475e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3100000000000001 y[1] (closed_form) 1.0484148825831472 y[1] (numeric) 1.048414877392558 absolute error 5.190589291714787e-09 relative error 4.950892416679457e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3110000000000001 y[1] (closed_form) 1.0487304963859514 y[1] (numeric) 1.0487304911352022 absolute error 5.250749168794755e-09 relative error 5.006766930960294e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3120000000000001 y[1] (closed_form) 1.0490471623302442 y[1] (numeric) 1.049047157019079 absolute error 5.311165285348807e-09 relative error 5.062847006373991e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3130000000000001 y[1] (closed_form) 1.0493648807789078 y[1] (numeric) 1.0493648754070695 absolute error 5.371838307510757e-09 relative error 5.119132921166015e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3140000000000001 y[1] (closed_form) 1.0496836520963677 y[1] (numeric) 1.0496836466635986 absolute error 5.432769123459025e-09 relative error 5.175625163456639e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3150000000000001 y[1] (closed_form) 1.0500034766485964 y[1] (numeric) 1.050003471154638 absolute error 5.4939583993274255e-09 relative error 5.232324007976674e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3160000000000001 y[1] (closed_form) 1.0503243548031178 y[1] (numeric) 1.050324349247711 absolute error 5.555406801249774e-09 relative error 5.289229727793114e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3170000000000001 y[1] (closed_form) 1.0506462869290116 y[1] (numeric) 1.0506462813118966 absolute error 5.617114995359884e-09 relative error 5.346342594307776e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3180000000000001 y[1] (closed_form) 1.0509692733969178 y[1] (numeric) 1.0509692677178342 absolute error 5.679083647791572e-09 relative error 5.403662877255939e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3190000000000001 y[1] (closed_form) 1.0512933145790408 y[1] (numeric) 1.0512933088377272 absolute error 5.741313646723256e-09 relative error 5.461191055915916e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3200000000000001 y[1] (closed_form) 1.0516184108491546 y[1] (numeric) 1.0516184050453485 absolute error 5.803806102377962e-09 relative error 5.518927818781281e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3210000000000001 y[1] (closed_form) 1.0519445625826056 y[1] (numeric) 1.0519445567160446 absolute error 5.866561014755689e-09 relative error 5.576872796749694e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3220000000000001 y[1] (closed_form) 1.052271770156319 y[1] (numeric) 1.0522717642267394 absolute error 5.929579494079462e-09 relative error 5.635026674904146e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3230000000000001 y[1] (closed_form) 1.0526000339488017 y[1] (numeric) 1.0526000279559395 absolute error 5.992862206483096e-09 relative error 5.693389714230797e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3240000000000001 y[1] (closed_form) 1.0529293543401488 y[1] (numeric) 1.0529293482837385 absolute error 6.0564102621896154e-09 relative error 5.751962595804972e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3250000000000001 y[1] (closed_form) 1.0532597317120453 y[1] (numeric) 1.0532597255918215 absolute error 6.120223883243625e-09 relative error 5.810745155229059e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3260000000000001 y[1] (closed_form) 1.0535911664477733 y[1] (numeric) 1.0535911602634693 absolute error 6.184303957823545e-09 relative error 5.869737859206037e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3270000000000001 y[1] (closed_form) 1.0539236589322156 y[1] (numeric) 1.053923652683564 absolute error 6.248651596152399e-09 relative error 5.928941383176871e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3280000000000001 y[1] (closed_form) 1.05425720955186 y[1] (numeric) 1.0542572032385926 absolute error 6.313267464364003e-09 relative error 5.988355979133047e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3290000000000001 y[1] (closed_form) 1.0545918186948045 y[1] (numeric) 1.0545918123166522 absolute error 6.378152228592171e-09 relative error 6.047981897380894e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3300000000000001 y[1] (closed_form) 1.0549274867507612 y[1] (numeric) 1.0549274803074549 absolute error 6.443306332926113e-09 relative error 6.107819176057186e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3310000000000001 y[1] (closed_form) 1.0552642141110629 y[1] (numeric) 1.0552642076023315 absolute error 6.508731331678064e-09 relative error 6.167868903960618e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33200000000000013 y[1] (closed_form) 1.0556020011686653 y[1] (numeric) 1.0556019945942379 absolute error 6.574427446892628e-09 relative error 6.228130905032415e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33300000000000013 y[1] (closed_form) 1.0559408483181538 y[1] (numeric) 1.0559408416777583 absolute error 6.640395566748225e-09 relative error 6.288605632905189e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33400000000000013 y[1] (closed_form) 1.0562807559557474 y[1] (numeric) 1.0562807492491106 absolute error 6.70663680146788e-09 relative error 6.349293749463e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33500000000000013 y[1] (closed_form) 1.0566217244793037 y[1] (numeric) 1.0566217177061519 absolute error 6.773151817185408e-09 relative error 6.410195494062147e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33600000000000013 y[1] (closed_form) 1.0569637542883235 y[1] (numeric) 1.0569637474483824 absolute error 6.839941057990018e-09 relative error 6.471310894284637e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33700000000000013 y[1] (closed_form) 1.0573068457839563 y[1] (numeric) 1.0573068388769504 absolute error 6.90700585614934e-09 relative error 6.532640816326159e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33800000000000013 y[1] (closed_form) 1.0576509993690049 y[1] (numeric) 1.0576509923946582 absolute error 6.9743466557525835e-09 relative error 6.594185284099842e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33900000000000013 y[1] (closed_form) 1.0579962154479303 y[1] (numeric) 1.0579962084059658 absolute error 7.041964567022774e-09 relative error 6.655944949709838e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34000000000000014 y[1] (closed_form) 1.0583424944268567 y[1] (numeric) 1.0583424873169964 absolute error 7.109860256093725e-09 relative error 6.717920043401504e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34100000000000014 y[1] (closed_form) 1.0586898367135764 y[1] (numeric) 1.0586898295355418 absolute error 7.1780346111438575e-09 relative error 6.780111003451374e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34200000000000014 y[1] (closed_form) 1.0590382427175553 y[1] (numeric) 1.0590382354710668 absolute error 7.2464885203515905e-09 relative error 6.842518266155024e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34300000000000014 y[1] (closed_form) 1.0593877128499378 y[1] (numeric) 1.059387705534715 absolute error 7.315222871895344e-09 relative error 6.905142265824584e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34400000000000014 y[1] (closed_form) 1.0597382475235513 y[1] (numeric) 1.059738240139313 absolute error 7.384238331908932e-09 relative error 6.967983225258487e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34500000000000014 y[1] (closed_form) 1.060089847152912 y[1] (numeric) 1.0600898396993763 absolute error 7.453535788570775e-09 relative error 7.03104157500307e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34600000000000014 y[1] (closed_form) 1.0604425121542305 y[1] (numeric) 1.0604425046311141 absolute error 7.523116352103898e-09 relative error 7.094317953003508e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34700000000000014 y[1] (closed_form) 1.0607962429454156 y[1] (numeric) 1.060796235352435 absolute error 7.592980688642115e-09 relative error 7.157812576295879e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34800000000000014 y[1] (closed_form) 1.0611510399460808 y[1] (numeric) 1.0611510322829512 absolute error 7.663129686363845e-09 relative error 7.221525869449484e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34900000000000014 y[1] (closed_form) 1.061506903577549 y[1] (numeric) 1.0615068958439846 absolute error 7.733564455492115e-09 relative error 7.285458464215381e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35000000000000014 y[1] (closed_form) 1.061863834262858 y[1] (numeric) 1.0618638264585725 absolute error 7.804285440116132e-09 relative error 7.34961036273906e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35100000000000015 y[1] (closed_form) 1.0622218324267656 y[1] (numeric) 1.0622218245514716 absolute error 7.875293972503528e-09 relative error 7.413982401878833e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35200000000000015 y[1] (closed_form) 1.0625808984957552 y[1] (numeric) 1.0625808905491645 absolute error 7.946590718788116e-09 relative error 7.478574789023333e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35300000000000015 y[1] (closed_form) 1.0629410328980409 y[1] (numeric) 1.0629410248798643 absolute error 8.018176567148316e-09 relative error 7.543387938733788e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35400000000000015 y[1] (closed_form) 1.0633022360635735 y[1] (numeric) 1.0633022279735211 absolute error 8.090052405762549e-09 relative error 7.608422263563127e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35500000000000015 y[1] (closed_form) 1.0636645084240457 y[1] (numeric) 1.0636645002618261 absolute error 8.162219566898443e-09 relative error 7.673678591562493e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35600000000000015 y[1] (closed_form) 1.0640278504128966 y[1] (numeric) 1.0640278421782183 absolute error 8.234678272600604e-09 relative error 7.739156704784685e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35700000000000015 y[1] (closed_form) 1.0643922624653193 y[1] (numeric) 1.0643922541578894 absolute error 8.307429855136661e-09 relative error 7.804857427181212e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35800000000000015 y[1] (closed_form) 1.0647577450182646 y[1] (numeric) 1.0647577366377892 absolute error 8.380475424729639e-09 relative error 7.870781371574697e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35900000000000015 y[1] (closed_form) 1.0651242985104472 y[1] (numeric) 1.0651242900566316 absolute error 8.453815647513352e-09 relative error 7.936928731544127e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36000000000000015 y[1] (closed_form) 1.0654919233823517 y[1] (numeric) 1.0654919148549002 absolute error 8.52745141166622e-09 relative error 8.00329990732942e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36100000000000015 y[1] (closed_form) 1.0658606200762382 y[1] (numeric) 1.0658606114748541 absolute error 8.601384049455874e-09 relative error 8.069895713794774e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36200000000000015 y[1] (closed_form) 1.066230389036147 y[1] (numeric) 1.066230380360533 absolute error 8.675614004971521e-09 relative error 8.136716130192199e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36300000000000016 y[1] (closed_form) 1.066601230707906 y[1] (numeric) 1.0666012219577636 absolute error 8.750142388436188e-09 relative error 8.203761758861554e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36400000000000016 y[1] (closed_form) 1.066973145539135 y[1] (numeric) 1.0669731367141646 absolute error 8.8249703100729e-09 relative error 8.271033199822192e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36500000000000016 y[1] (closed_form) 1.0673461339792523 y[1] (numeric) 1.0673461250791536 absolute error 8.900098658060074e-09 relative error 8.338530842735108e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36600000000000016 y[1] (closed_form) 1.0677201964794802 y[1] (numeric) 1.067720187503952 absolute error 8.975528320576132e-09 relative error 8.406255075225249e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36700000000000016 y[1] (closed_form) 1.0680953334928518 y[1] (numeric) 1.068095324441591 absolute error 9.051260851933307e-09 relative error 8.474206906544717e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36800000000000016 y[1] (closed_form) 1.0684715454742146 y[1] (numeric) 1.0684715363469182 absolute error 9.127296474176205e-09 relative error 8.542386096136309e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36900000000000016 y[1] (closed_form) 1.0688488328802395 y[1] (numeric) 1.068848823676603 absolute error 9.203636519572456e-09 relative error 8.610793440987635e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37000000000000016 y[1] (closed_form) 1.069227196169424 y[1] (numeric) 1.0692271868891423 absolute error 9.280281654255873e-09 relative error 8.679429112449708e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37100000000000016 y[1] (closed_form) 1.0696066358021006 y[1] (numeric) 1.0696066264448671 absolute error 9.357233432538692e-09 relative error 8.748294110499493e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37200000000000016 y[1] (closed_form) 1.0699871522404412 y[1] (numeric) 1.0699871428059484 absolute error 9.434492742599332e-09 relative error 8.817388809617471e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37300000000000016 y[1] (closed_form) 1.0703687459484637 y[1] (numeric) 1.0703687364364032 absolute error 9.512060472616213e-09 relative error 8.886713582231409e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37400000000000017 y[1] (closed_form) 1.0707514173920383 y[1] (numeric) 1.0707514078021005 absolute error 9.589937732812359e-09 relative error 8.956269006087301e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37500000000000017 y[1] (closed_form) 1.0711351670388936 y[1] (numeric) 1.0711351573707681 absolute error 9.66812541136619e-09 relative error 9.026055449279386e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37600000000000017 y[1] (closed_form) 1.0715199953586225 y[1] (numeric) 1.071519985611998 absolute error 9.746624618500732e-09 relative error 9.096073485067048e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37700000000000017 y[1] (closed_form) 1.0719059028226892 y[1] (numeric) 1.071905892997253 absolute error 9.825436242394403e-09 relative error 9.166323477201423e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37800000000000017 y[1] (closed_form) 1.0722928899044348 y[1] (numeric) 1.072292879999873 absolute error 9.904561837359438e-09 relative error 9.236806408594349e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37900000000000017 y[1] (closed_form) 1.0726809570790836 y[1] (numeric) 1.0726809470950818 absolute error 9.984001847485047e-09 relative error 9.307522224195665e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38000000000000017 y[1] (closed_form) 1.07307010482375 y[1] (numeric) 1.0730700947599925 absolute error 1.0063757605038859e-08 relative error 9.37847169518511e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38100000000000017 y[1] (closed_form) 1.0734603336174449 y[1] (numeric) 1.0734603234736144 absolute error 1.0143830442288504e-08 relative error 9.449655590071871e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3820000000000002 y[1] (closed_form) 1.073851643941081 y[1] (numeric) 1.0738516337168598 absolute error 1.0224221247412402e-08 relative error 9.521074261141955e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3830000000000002 y[1] (closed_form) 1.0742440362774808 y[1] (numeric) 1.0742440259725499 absolute error 1.0304930908588972e-08 relative error 9.592728058605834e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3840000000000002 y[1] (closed_form) 1.0746375111113824 y[1] (numeric) 1.0746375007254216 absolute error 1.0385960758085844e-08 relative error 9.664617743842533e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3850000000000002 y[1] (closed_form) 1.0750320689294461 y[1] (numeric) 1.0750320584621345 absolute error 1.0467311684081437e-08 relative error 9.736743662451992e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3860000000000002 y[1] (closed_form) 1.075427710220261 y[1] (numeric) 1.0754276996712762 absolute error 1.0548984796798777e-08 relative error 9.809106364423336e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3870000000000002 y[1] (closed_form) 1.0758244354743518 y[1] (numeric) 1.0758244248433702 absolute error 1.0630981650550098e-08 relative error 9.881706810147597e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3880000000000002 y[1] (closed_form) 1.076222245184185 y[1] (numeric) 1.0762222344708825 absolute error 1.0713302467380004e-08 relative error 9.954544719103558e-07% Desired digits 8 Estimated correct digits 13 Correct digits 9 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3890000000000002 y[1] (closed_form) 1.076621139844177 y[1] (numeric) 1.0766211290482275 absolute error 1.0795949467734545e-08 relative error 1.002762166577658e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3900000000000002 y[1] (closed_form) 1.0770211199506992 y[1] (numeric) 1.0770211090717758 absolute error 1.0878923317747535e-08 relative error 1.0100937777567e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3910000000000002 y[1] (closed_form) 1.0774221860020852 y[1] (numeric) 1.0774221750398603 absolute error 1.0962224905597395e-08 relative error 1.01744933861759e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3920000000000002 y[1] (closed_form) 1.0778243384986386 y[1] (numeric) 1.077824327452783 absolute error 1.1045855563551754e-08 relative error 1.02482892332327e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3930000000000002 y[1] (closed_form) 1.0782275779426396 y[1] (numeric) 1.0782275668128227 absolute error 1.1129816845922846e-08 relative error 1.0322326263588612e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3940000000000002 y[1] (closed_form) 1.0786319048383504 y[1] (numeric) 1.0786318936242414 absolute error 1.1214108974755277e-08 relative error 1.0396604183923045e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3950000000000002 y[1] (closed_form) 1.0790373196920249 y[1] (numeric) 1.079037308393291 absolute error 1.129873394845049e-08 relative error 1.0471124345982154e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3960000000000002 y[1] (closed_form) 1.0794438230119132 y[1] (numeric) 1.0794438116282206 absolute error 1.1383692655186906e-08 relative error 1.0545887069346146e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3970000000000002 y[1] (closed_form) 1.0798514153082701 y[1] (numeric) 1.079851403839284 absolute error 1.1468986205187548e-08 relative error 1.0620892877112584e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3980000000000002 y[1] (closed_form) 1.0802600970933622 y[1] (numeric) 1.080260085538746 absolute error 1.1554616152764652e-08 relative error 1.069614270105363e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3990000000000002 y[1] (closed_form) 1.0806698688814744 y[1] (numeric) 1.080669857240891 absolute error 1.1640583386096637e-08 relative error 1.0771636853486984e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4000000000000002 y[1] (closed_form) 1.0810807311889172 y[1] (numeric) 1.0810807194620282 absolute error 1.1726889015406528e-08 relative error 1.084737585000696e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4010000000000002 y[1] (closed_form) 1.081492684534035 y[1] (numeric) 1.0814926727205005 absolute error 1.1813534372961954e-08 relative error 1.0923360409092234e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4020000000000002 y[1] (closed_form) 1.0819057294372119 y[1] (numeric) 1.0819057175366908 absolute error 1.190052101307515e-08 relative error 1.0999591451711407e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4030000000000002 y[1] (closed_form) 1.08231986642088 y[1] (numeric) 1.0823198544330304 absolute error 1.198784960187993e-08 relative error 1.107606907514551e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4040000000000002 y[1] (closed_form) 1.0827350960095268 y[1] (numeric) 1.082735083934005 absolute error 1.2075521693688529e-08 relative error 1.115279419517614e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4050000000000002 y[1] (closed_form) 1.0831514187297022 y[1] (numeric) 1.0831514065661636 absolute error 1.2163538620768577e-08 relative error 1.1229767519516086e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4060000000000002 y[1] (closed_form) 1.0835688351100263 y[1] (numeric) 1.0835688228581248 absolute error 1.2251901493343098e-08 relative error 1.1306989548198875e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4070000000000002 y[1] (closed_form) 1.0839873456811966 y[1] (numeric) 1.0839873333405854 absolute error 1.2340611199590512e-08 relative error 1.1384460573970497e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4080000000000002 y[1] (closed_form) 1.0844069509759966 y[1] (numeric) 1.0844069385463269 absolute error 1.2429669737912263e-08 relative error 1.146218191125132e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4090000000000002 y[1] (closed_form) 1.0848276515293018 y[1] (numeric) 1.0848276390102238 absolute error 1.2519077996486772e-08 relative error 1.1540153847330858e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4100000000000002 y[1] (closed_form) 1.0852494478780887 y[1] (numeric) 1.0852494352692514 absolute error 1.2608837307581666e-08 relative error 1.1618377076565053e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4110000000000002 y[1] (closed_form) 1.0856723405614424 y[1] (numeric) 1.0856723278624931 absolute error 1.2698949225509182e-08 relative error 1.1696852495055804e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4120000000000002 y[1] (closed_form) 1.0860963301205633 y[1] (numeric) 1.0860963173311486 absolute error 1.2789414638447738e-08 relative error 1.1775580382476788e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4130000000000002 y[1] (closed_form) 1.0865214170987763 y[1] (numeric) 1.0865214042185414 absolute error 1.2880234878664965e-08 relative error 1.185456142508235e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4140000000000002 y[1] (closed_form) 1.0869476020415378 y[1] (numeric) 1.0869475890701266 absolute error 1.297141127842849e-08 relative error 1.1933796306340062e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4150000000000002 y[1] (closed_form) 1.087374885496445 y[1] (numeric) 1.0873748724334993 absolute error 1.3062945614095156e-08 relative error 1.2013286115331992e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4160000000000002 y[1] (closed_form) 1.087803268013241 y[1] (numeric) 1.0878032548584022 absolute error 1.315483877384338e-08 relative error 1.2093031121214885e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4170000000000002 y[1] (closed_form) 1.088232750143826 y[1] (numeric) 1.088232736896734 absolute error 1.3247092089940793e-08 relative error 1.2173031999073722e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4180000000000002 y[1] (closed_form) 1.0886633324422639 y[1] (numeric) 1.0886633191025568 absolute error 1.3339707116699628e-08 relative error 1.2253289625153316e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4190000000000002 y[1] (closed_form) 1.0890950154647905 y[1] (numeric) 1.089095002032105 absolute error 1.3432685408432121e-08 relative error 1.2333804872570723e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4200000000000002 y[1] (closed_form) 1.0895277997698214 y[1] (numeric) 1.0895277862437933 absolute error 1.3526028075361296e-08 relative error 1.2414578203712533e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4210000000000002 y[1] (closed_form) 1.089961685917961 y[1] (numeric) 1.0899616722982246 absolute error 1.3619736449754782e-08 relative error 1.2495610282194736e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4220000000000002 y[1] (closed_form) 1.0903966744720106 y[1] (numeric) 1.0903966607581987 absolute error 1.371381186388021e-08 relative error 1.2576901768817922e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4230000000000002 y[1] (closed_form) 1.0908327659969763 y[1] (numeric) 1.0908327521887204 absolute error 1.3808255872049813e-08 relative error 1.2658453525119071e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4240000000000002 y[1] (closed_form) 1.091269961060078 y[1] (numeric) 1.091269947157008 absolute error 1.3903070028575826e-08 relative error 1.2740266409486933e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4250000000000002 y[1] (closed_form) 1.0917082602307573 y[1] (numeric) 1.0917082462325018 absolute error 1.3998255443681273e-08 relative error 1.2822340870373578e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4260000000000002 y[1] (closed_form) 1.0921476640806864 y[1] (numeric) 1.0921476499868725 absolute error 1.4093813893722995e-08 relative error 1.2904677963658367e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4270000000000002 y[1] (closed_form) 1.0925881731837763 y[1] (numeric) 1.09258815899403 absolute error 1.418974626687941e-08 relative error 1.2987277928819989e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4280000000000002 y[1] (closed_form) 1.0930297881161863 y[1] (numeric) 1.0930297738301318 absolute error 1.4286054561551964e-08 relative error 1.307014201888649e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4290000000000002 y[1] (closed_form) 1.0934725094563316 y[1] (numeric) 1.0934724950735917 absolute error 1.438273988796368e-08 relative error 1.3153270670805157e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4300000000000002 y[1] (closed_form) 1.0939163377848926 y[1] (numeric) 1.0939163233050886 absolute error 1.4479804022471399e-08 relative error 1.323666492795238e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4310000000000002 y[1] (closed_form) 1.0943612736848236 y[1] (numeric) 1.0943612591075755 absolute error 1.4577248075298144e-08 relative error 1.3320325221501209e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4320000000000002 y[1] (closed_form) 1.0948073177413618 y[1] (numeric) 1.094807303066288 absolute error 1.4675073822800755e-08 relative error 1.3404252588552397e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4330000000000002 y[1] (closed_form) 1.0952544705420357 y[1] (numeric) 1.0952544557687534 absolute error 1.4773282375202257e-08 relative error 1.3488447454490678e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4340000000000002 y[1] (closed_form) 1.0957027326766755 y[1] (numeric) 1.0957027178047998 absolute error 1.4871875730904094e-08 relative error 1.357291105277598e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4350000000000002 y[1] (closed_form) 1.0961521047374199 y[1] (numeric) 1.0961520897665646 absolute error 1.4970855222173896e-08 relative error 1.3657644005309028e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4360000000000002 y[1] (closed_form) 1.0966025873187266 y[1] (numeric) 1.0966025722485044 absolute error 1.507022218127929e-08 relative error 1.374264693112487e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4370000000000002 y[1] (closed_form) 1.097054181017382 y[1] (numeric) 1.0970541658474036 absolute error 1.516997838457712e-08 relative error 1.3827920851191546e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4380000000000002 y[1] (closed_form) 1.0975068864325086 y[1] (numeric) 1.0975068711623834 absolute error 1.5270125164335013e-08 relative error 1.391346637830327e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4390000000000002 y[1] (closed_form) 1.0979607041655763 y[1] (numeric) 1.097960688794912 absolute error 1.537066429690981e-08 relative error 1.3999284526845742e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4400000000000002 y[1] (closed_form) 1.0984156348204102 y[1] (numeric) 1.098415619348813 absolute error 1.5471597114569136e-08 relative error 1.4085375903356225e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4410000000000002 y[1] (closed_form) 1.0988716790032003 y[1] (numeric) 1.098871663430275 absolute error 1.557292517162523e-08 relative error 1.4171741313555025e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4420000000000002 y[1] (closed_form) 1.0993288373225119 y[1] (numeric) 1.0993288216478616 absolute error 1.567465024443493e-08 relative error 1.4258381761922644e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4430000000000002 y[1] (closed_form) 1.099787110389294 y[1] (numeric) 1.0997870946125199 absolute error 1.5776774109355074e-08 relative error 1.4345298249377133e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44400000000000023 y[1] (closed_form) 1.1002464988168892 y[1] (numeric) 1.1002464829375913 absolute error 1.587929787660869e-08 relative error 1.4432491167828233e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44500000000000023 y[1] (closed_form) 1.100707003221044 y[1] (numeric) 1.1007069872388202 absolute error 1.5982223766641823e-08 relative error 1.4519961915271174e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44600000000000023 y[1] (closed_form) 1.1011686242199172 y[1] (numeric) 1.1011686081343643 absolute error 1.60855528896775e-08 relative error 1.4607710877226206e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44700000000000023 y[1] (closed_form) 1.101631362434091 y[1] (numeric) 1.1016313462448042 absolute error 1.6189286800027958e-08 relative error 1.4695738839766865e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44800000000000023 y[1] (closed_form) 1.10209521848658 y[1] (numeric) 1.1020952021931525 absolute error 1.6293427496094637e-08 relative error 1.4784046988670462e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44900000000000023 y[1] (closed_form) 1.102560193002842 y[1] (numeric) 1.1025601766048652 absolute error 1.6397976754234378e-08 relative error 1.4872636304394595e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45000000000000023 y[1] (closed_form) 1.103026286610786 y[1] (numeric) 1.1030262701078504 absolute error 1.6502935684670206e-08 relative error 1.496150715988642e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45100000000000023 y[1] (closed_form) 1.1034934999407853 y[1] (numeric) 1.1034934833324788 absolute error 1.660830650784817e-08 relative error 1.5050660931613453e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45200000000000023 y[1] (closed_form) 1.1039618336256847 y[1] (numeric) 1.103961816911594 absolute error 1.6714090778080504e-08 relative error 1.5140098388353953e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45300000000000024 y[1] (closed_form) 1.1044312883008125 y[1] (numeric) 1.1044312714805222 absolute error 1.6820290271724048e-08 relative error 1.5229820496666993e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45400000000000024 y[1] (closed_form) 1.1049018646039894 y[1] (numeric) 1.104901847677083 absolute error 1.692690632104643e-08 relative error 1.5319827817571151e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45500000000000024 y[1] (closed_form) 1.1053735631755408 y[1] (numeric) 1.1053735461415997 absolute error 1.7033941146493703e-08 relative error 1.5410121712661764e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45600000000000024 y[1] (closed_form) 1.1058463846583044 y[1] (numeric) 1.1058463675169086 absolute error 1.7141395858288888e-08 relative error 1.5500702535267056e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45700000000000024 y[1] (closed_form) 1.1063203296976436 y[1] (numeric) 1.1063203124483707 absolute error 1.724927289892264e-08 relative error 1.5591571840351929e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45800000000000024 y[1] (closed_form) 1.1067953989414556 y[1] (numeric) 1.106795381583882 absolute error 1.735757360066259e-08 relative error 1.5682730175119498e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45900000000000024 y[1] (closed_form) 1.1072715930401835 y[1] (numeric) 1.1072715755738836 absolute error 1.746629996191018e-08 relative error 1.5774178685424216e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46000000000000024 y[1] (closed_form) 1.107748912646826 y[1] (numeric) 1.1077488950713725 absolute error 1.7575453536977648e-08 relative error 1.5865918112240184e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46100000000000024 y[1] (closed_form) 1.1082273584169495 y[1] (numeric) 1.1082273407319132 absolute error 1.7685036324266434e-08 relative error 1.5957949593961184e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46200000000000024 y[1] (closed_form) 1.1087069310086972 y[1] (numeric) 1.1087069132136471 absolute error 1.779505010013338e-08 relative error 1.6050274064710242e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46300000000000024 y[1] (closed_form) 1.1091876310828008 y[1] (numeric) 1.1091876131773042 absolute error 1.7905496640935326e-08 relative error 1.6142892454954431e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46400000000000025 y[1] (closed_form) 1.1096694593025922 y[1] (numeric) 1.1096694412862143 absolute error 1.8016377945073714e-08 relative error 1.6235805891600092e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46500000000000025 y[1] (closed_form) 1.110152416334013 y[1] (numeric) 1.1101523982063173 absolute error 1.8127695788905385e-08 relative error 1.632901529752765e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46600000000000025 y[1] (closed_form) 1.1106365028456269 y[1] (numeric) 1.1106364846061751 absolute error 1.8239451726742573e-08 relative error 1.6422521392021786e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46700000000000025 y[1] (closed_form) 1.1111217195086298 y[1] (numeric) 1.111121701156982 absolute error 1.8351647756986722e-08 relative error 1.651632529071824e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46800000000000025 y[1] (closed_form) 1.1116080669968627 y[1] (numeric) 1.1116080485325766 absolute error 1.8464286100083882e-08 relative error 1.6610428304975584e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46900000000000025 y[1] (closed_form) 1.1120955459868211 y[1] (numeric) 1.1120955274094526 absolute error 1.8577368532390892e-08 relative error 1.6704831342442084e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47000000000000025 y[1] (closed_form) 1.1125841571576678 y[1] (numeric) 1.112584138466771 absolute error 1.8690896830264592e-08 relative error 1.679953530707686e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47100000000000025 y[1] (closed_form) 1.1130739011912436 y[1] (numeric) 1.1130738823863706 absolute error 1.8804872992106425e-08 relative error 1.689454129863337e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47200000000000025 y[1] (closed_form) 1.1135647787720793 y[1] (numeric) 1.1135647598527807 absolute error 1.8919298572228627e-08 relative error 1.6989850014016083e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47300000000000025 y[1] (closed_form) 1.1140567905874075 y[1] (numeric) 1.1140567715532315 absolute error 1.903417601312185e-08 relative error 1.708546294402615e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47400000000000025 y[1] (closed_form) 1.114549937327174 y[1] (numeric) 1.1145499181776666 absolute error 1.914950731318754e-08 relative error 1.7181381176253426e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47500000000000026 y[1] (closed_form) 1.115044219684049 y[1] (numeric) 1.115044200418755 absolute error 1.9265294026737934e-08 relative error 1.7277605395951748e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47600000000000026 y[1] (closed_form) 1.1155396383534413 y[1] (numeric) 1.1155396189719027 absolute error 1.938153859626368e-08 relative error 1.7374137081198853e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47700000000000026 y[1] (closed_form) 1.1160361940335073 y[1] (numeric) 1.1160361745352645 absolute error 1.9498242798121623e-08 relative error 1.7470977108414655e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47800000000000026 y[1] (closed_form) 1.116533887425165 y[1] (numeric) 1.1165338678097563 absolute error 1.9615408630713205e-08 relative error 1.7568126549162097e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47900000000000026 y[1] (closed_form) 1.1170327192321052 y[1] (numeric) 1.1170326994990671 absolute error 1.973303809243987e-08 relative error 1.76655864709184e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48000000000000026 y[1] (closed_form) 1.1175326901608051 y[1] (numeric) 1.1175326703096717 absolute error 1.9851133403747667e-08 relative error 1.7763358135761762e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48100000000000026 y[1] (closed_form) 1.118033800920539 y[1] (numeric) 1.1180337809508425 absolute error 1.9969696563038042e-08 relative error 1.7861442602715488e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48200000000000026 y[1] (closed_form) 1.1185360522233918 y[1] (numeric) 1.1185360321346618 absolute error 2.0088730012801648e-08 relative error 1.7959841323728354e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48300000000000026 y[1] (closed_form) 1.1190394447842702 y[1] (numeric) 1.1190394245760351 absolute error 2.0208235085306114e-08 relative error 1.805855475380663e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48400000000000026 y[1] (closed_form) 1.1195439793209172 y[1] (numeric) 1.1195439589927028 absolute error 2.03282144450867e-08 relative error 1.8157584534925734e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48500000000000026 y[1] (closed_form) 1.1200496565539235 y[1] (numeric) 1.1200496361052534 absolute error 2.044867009054485e-08 relative error 1.8256931709134784e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48600000000000027 y[1] (closed_form) 1.1205564772067402 y[1] (numeric) 1.1205564566371362 absolute error 2.056960402008201e-08 relative error 1.8356597314360053e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48700000000000027 y[1] (closed_form) 1.1210644420056926 y[1] (numeric) 1.1210644213146739 absolute error 2.0691018676188833e-08 relative error 1.845658278053187e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48800000000000027 y[1] (closed_form) 1.1215735516799916 y[1] (numeric) 1.1215735308670758 absolute error 2.0812915835222157e-08 relative error 1.8556888938800972e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48900000000000027 y[1] (closed_form) 1.1220838069617485 y[1] (numeric) 1.1220837860264505 absolute error 2.0935297939672637e-08 relative error 1.8657517210197398e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49000000000000027 y[1] (closed_form) 1.122595208585987 y[1] (numeric) 1.1225951875278197 absolute error 2.1058167209986323e-08 relative error 1.8758468813091624e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49100000000000027 y[1] (closed_form) 1.1231077572906565 y[1] (numeric) 1.1231077361091308 absolute error 2.1181525644564658e-08 relative error 1.8859744763638874e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49200000000000027 y[1] (closed_form) 1.1236214538166462 y[1] (numeric) 1.1236214325112703 absolute error 2.1305375907942903e-08 relative error 1.8961346666685787e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49300000000000027 y[1] (closed_form) 1.1241362989077972 y[1] (numeric) 1.1241362774780774 absolute error 2.1429719776477896e-08 relative error 1.9063275331735891e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49400000000000027 y[1] (closed_form) 1.1246522933109175 y[1] (numeric) 1.1246522717563576 absolute error 2.1554559914704896e-08 relative error 1.9165532354226032e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4950000000000003 y[1] (closed_form) 1.1251694377757941 y[1] (numeric) 1.125169416095896 absolute error 2.1679898098980743e-08 relative error 1.926811853496217e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4960000000000003 y[1] (closed_form) 1.1256877330552084 y[1] (numeric) 1.1256877112494712 absolute error 2.18057372158853e-08 relative error 1.93710356572002e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4970000000000003 y[1] (closed_form) 1.1262071799049478 y[1] (numeric) 1.126207157972869 absolute error 2.1932078819730805e-08 relative error 1.9474284315592693e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4980000000000003 y[1] (closed_form) 1.1267277790838224 y[1] (numeric) 1.1267277570248964 absolute error 2.2058926019141722e-08 relative error 1.9577866480826916e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4990000000000003 y[1] (closed_form) 1.1272495313536761 y[1] (numeric) 1.1272495091673953 absolute error 2.21862808125195e-08 relative error 1.9681783132681135e-06% Desired digits 8 Estimated correct digits 13 Correct digits 8 h -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = arcsin ( x + 0.0001 ) ; Iterations 300 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 0.0%