Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/expt_c_cpostode.ode################# diff ( y , x , 1 ) = expt ( 2.0 , 3.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=3 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(expt(c(2.0) , c(3.0)) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.5e1+/-0.50e-30 y[1] (closed_form) -0.400000000000000000000000000001889e2+/-0.729e-27 y[1] (numeric) -0.400000000000000000000000000001889e2+/-0.733e-27 absolute error 0.0e0+/-0.1462e-26 relative error 0.0e0+/-0.3655000000000000000000000000115964e-26% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.49e1+/-0.5e-30 y[1] (closed_form) -0.392000000000000000000000000001851e2+/-0.714e-27 y[1] (numeric) -0.392000000000000000000000000001851e2+/-0.757e-27 absolute error 0.0e0+/-0.1471e-26 relative error 0.0e0+/-0.3752551020408163265306122449098572e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.5e-30 y[1] (closed_form) -0.384000000000000000000000000001814e2+/-0.7e-27 y[1] (numeric) -0.384000000000000000000000000001813e2+/-0.779e-27 absolute error 0.1e-30+/-0.147e-26 relative error 0.2604166666666666666666666666654364e-30+/-0.382e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.47e1+/-0.5e-30 y[1] (closed_form) -0.376000000000000000000000000001776e2+/-0.685e-27 y[1] (numeric) -0.376000000000000000000000000001775e2+/-0.799e-27 absolute error 0.1e-30+/-0.148e-26 relative error 0.2659574468085106382978723404242756e-30+/-0.393e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.46e1+/-0.5e-30 y[1] (closed_form) -0.368000000000000000000000000001738e2+/-0.671e-27 y[1] (numeric) -0.368000000000000000000000000001737e2+/-0.819e-27 absolute error 0.1e-30+/-0.149e-26 relative error 0.2717391304347826086956521739117601e-30+/-0.404e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.45e1+/-0.5e-30 y[1] (closed_form) -0.3600000000000000000000000000017e2+/-0.656e-27 y[1] (numeric) -0.360000000000000000000000000001699e2+/-0.839e-27 absolute error 0.1e-30+/-0.149e-26 relative error 0.277777777777777777777777777776466e-30+/-0.413e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.44e1+/-0.5e-30 y[1] (closed_form) -0.352000000000000000000000000001662e2+/-0.642e-27 y[1] (numeric) -0.352000000000000000000000000001661e2+/-0.86e-27 absolute error 0.1e-30+/-0.15e-26 relative error 0.2840909090909090909090909090895677e-30+/-0.426e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.43e1+/-0.5e-30 y[1] (closed_form) -0.344000000000000000000000000001625e2+/-0.627e-27 y[1] (numeric) -0.344000000000000000000000000001623e2+/-0.879e-27 absolute error 0.2e-30+/-0.15e-26 relative error 0.5813953488372093023255813953460907e-30+/-0.436e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.42e1+/-0.5e-30 y[1] (closed_form) -0.336000000000000000000000000001587e2+/-0.613e-27 y[1] (numeric) -0.336000000000000000000000000001585e2+/-0.899e-27 absolute error 0.2e-30+/-0.151e-26 relative error 0.5952380952380952380952380952352838e-30+/-0.449e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.41e1+/-0.5e-30 y[1] (closed_form) -0.328000000000000000000000000001549e2+/-0.598e-27 y[1] (numeric) -0.328000000000000000000000000001547e2+/-0.919e-27 absolute error 0.2e-30+/-0.151e-26 relative error 0.6097560975609756097560975609727301e-30+/-0.46e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4e1+/-0.5e-30 y[1] (closed_form) -0.320000000000000000000000000001511e2+/-0.584e-27 y[1] (numeric) -0.320000000000000000000000000001509e2+/-0.939e-27 absolute error 0.2e-30+/-0.152e-26 relative error 0.6249999999999999999999999999970488e-30+/-0.475e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.39e1+/-0.5e-30 y[1] (closed_form) -0.312000000000000000000000000001473e2+/-0.569e-27 y[1] (numeric) -0.312000000000000000000000000001471e2+/-0.959e-27 absolute error 0.2e-30+/-0.152e-26 relative error 0.6410256410256410256410256410226146e-30+/-0.487e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.38e1+/-0.5e-30 y[1] (closed_form) -0.304000000000000000000000000001436e2+/-0.555e-27 y[1] (numeric) -0.304000000000000000000000000001433e2+/-0.979e-27 absolute error 0.3e-30+/-0.153e-26 relative error 0.9868421052631578947368421052584963e-30+/-0.503e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.37e1+/-0.5e-30 y[1] (closed_form) -0.296000000000000000000000000001398e2+/-0.54e-27 y[1] (numeric) -0.296000000000000000000000000001395e2+/-0.999e-27 absolute error 0.3e-30+/-0.153e-26 relative error 0.1013513513513513513513513513508726e-29+/-0.516e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.36e1+/-0.5e-30 y[1] (closed_form) -0.28800000000000000000000000000136e2+/-0.526e-27 y[1] (numeric) -0.288000000000000000000000000001357e2+/-0.1e-26 absolute error 0.3e-30+/-0.152e-26 relative error 0.1041666666666666666666666666661747e-29+/-0.527e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.35e1+/-0.5e-30 y[1] (closed_form) -0.280000000000000000000000000001322e2+/-0.511e-27 y[1] (numeric) -0.280000000000000000000000000001319e2+/-0.1e-26 absolute error 0.3e-30+/-0.151e-26 relative error 0.1071428571428571428571428571423512e-29+/-0.539e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.34e1+/-0.5e-30 y[1] (closed_form) -0.272000000000000000000000000001284e2+/-0.497e-27 y[1] (numeric) -0.272000000000000000000000000001281e2+/-0.1e-26 absolute error 0.3e-30+/-0.149e-26 relative error 0.1102941176470588235294117647053616e-29+/-0.547e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.33e1+/-0.5e-30 y[1] (closed_form) -0.264000000000000000000000000001247e2+/-0.482e-27 y[1] (numeric) -0.264000000000000000000000000001243e2+/-0.1e-26 absolute error 0.4e-30+/-0.148e-26 relative error 0.1515151515151515151515151515144358e-29+/-0.56e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.32e1+/-0.5e-30 y[1] (closed_form) -0.256000000000000000000000000001209e2+/-0.468e-27 y[1] (numeric) -0.256000000000000000000000000001205e2+/-0.1e-26 absolute error 0.4e-30+/-0.146e-26 relative error 0.156249999999999999999999999999262e-29+/-0.57e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.31e1+/-0.5e-30 y[1] (closed_form) -0.248000000000000000000000000001171e2+/-0.453e-27 y[1] (numeric) -0.248000000000000000000000000001167e2+/-0.1e-26 absolute error 0.4e-30+/-0.145e-26 relative error 0.1612903225806451612903225806443997e-29+/-0.584e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3e1+/-0.5e-30 y[1] (closed_form) -0.240000000000000000000000000001133e2+/-0.439e-27 y[1] (numeric) -0.240000000000000000000000000001129e2+/-0.1e-26 absolute error 0.4e-30+/-0.143e-26 relative error 0.1666666666666666666666666666658798e-29+/-0.595e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.29e1+/-0.5e-30 y[1] (closed_form) -0.232000000000000000000000000001096e2+/-0.424e-27 y[1] (numeric) -0.232000000000000000000000000001091e2+/-0.1e-26 absolute error 0.5e-30+/-0.142e-26 relative error 0.2155172413793103448275862068955335e-29+/-0.612e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.28e1+/-0.5e-30 y[1] (closed_form) -0.224000000000000000000000000001058e2+/-0.41e-27 y[1] (numeric) -0.224000000000000000000000000001053e2+/-0.1e-26 absolute error 0.5e-30+/-0.141e-26 relative error 0.2232142857142857142857142857132314e-29+/-0.629e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.27e1+/-0.5e-30 y[1] (closed_form) -0.21600000000000000000000000000102e2+/-0.395e-27 y[1] (numeric) -0.216000000000000000000000000001015e2+/-0.1e-26 absolute error 0.5e-30+/-0.139e-26 relative error 0.2314814814814814814814814814803883e-29+/-0.643e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.26e1+/-0.5e-30 y[1] (closed_form) -0.208000000000000000000000000000982e2+/-0.381e-27 y[1] (numeric) -0.208000000000000000000000000000977e2+/-0.1e-26 absolute error 0.5e-30+/-0.138e-26 relative error 0.2403846153846153846153846153834804e-29+/-0.663e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.25e1+/-0.5e-30 y[1] (closed_form) -0.200000000000000000000000000000944e2+/-0.366e-27 y[1] (numeric) -0.200000000000000000000000000000939e2+/-0.1e-26 absolute error 0.5e-30+/-0.136e-26 relative error 0.24999999999999999999999999999882e-29+/-0.68e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.24e1+/-0.5e-30 y[1] (closed_form) -0.192000000000000000000000000000907e2+/-0.352e-27 y[1] (numeric) -0.192000000000000000000000000000901e2+/-0.1e-26 absolute error 0.6e-30+/-0.135e-26 relative error 0.3124999999999999999999999999985237e-29+/-0.703e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.23e1+/-0.5e-30 y[1] (closed_form) -0.184000000000000000000000000000869e2+/-0.337e-27 y[1] (numeric) -0.184000000000000000000000000000863e2+/-0.1e-26 absolute error 0.6e-30+/-0.133e-26 relative error 0.3260869565217391304347826086941121e-29+/-0.722e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.22e1+/-0.5e-30 y[1] (closed_form) -0.176000000000000000000000000000831e2+/-0.323e-27 y[1] (numeric) -0.176000000000000000000000000000825e2+/-0.1e-26 absolute error 0.6e-30+/-0.132e-26 relative error 0.3409090909090909090909090909074812e-29+/-0.75e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.21e1+/-0.5e-30 y[1] (closed_form) -0.168000000000000000000000000000793e2+/-0.308e-27 y[1] (numeric) -0.168000000000000000000000000000787e2+/-0.1e-26 absolute error 0.6e-30+/-0.13e-26 relative error 0.3571428571428571428571428571411713e-29+/-0.773e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2e1+/-0.5e-30 y[1] (closed_form) -0.160000000000000000000000000000755e2+/-0.294e-27 y[1] (numeric) -0.160000000000000000000000000000749e2+/-0.1e-26 absolute error 0.6e-30+/-0.129e-26 relative error 0.3749999999999999999999999999982304e-29+/-0.806e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.19e1+/-0.5e-30 y[1] (closed_form) -0.152000000000000000000000000000718e2+/-0.279e-27 y[1] (numeric) -0.152000000000000000000000000000711e2+/-0.1e-26 absolute error 0.7e-30+/-0.127e-26 relative error 0.4605263157894736842105263157872983e-29+/-0.835e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.18e1+/-0.5e-30 y[1] (closed_form) -0.14400000000000000000000000000068e2+/-0.265e-27 y[1] (numeric) -0.144000000000000000000000000000673e2+/-0.1e-26 absolute error 0.7e-30+/-0.126e-26 relative error 0.4861111111111111111111111111088155e-29+/-0.875e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.17e1+/-0.5e-30 y[1] (closed_form) -0.136000000000000000000000000000642e2+/-0.25e-27 y[1] (numeric) -0.136000000000000000000000000000635e2+/-0.1e-26 absolute error 0.7e-30+/-0.125e-26 relative error 0.5147058823529411764705882352916879e-29+/-0.919e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.16e1+/-0.5e-30 y[1] (closed_form) -0.128000000000000000000000000000604e2+/-0.236e-27 y[1] (numeric) -0.128000000000000000000000000000597e2+/-0.1e-26 absolute error 0.7e-30+/-0.123e-26 relative error 0.5468749999999999999999999999974194e-29+/-0.96e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.15e1+/-0.5e-30 y[1] (closed_form) -0.120000000000000000000000000000566e2+/-0.221e-27 y[1] (numeric) -0.120000000000000000000000000000559e2+/-0.1e-26 absolute error 0.7e-30+/-0.122e-26 relative error 0.5833333333333333333333333333305819e-29+/-0.101e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.14e1+/-0.5e-30 y[1] (closed_form) -0.112000000000000000000000000000529e2+/-0.207e-27 y[1] (numeric) -0.112000000000000000000000000000521e2+/-0.1e-26 absolute error 0.8e-30+/-0.12e-26 relative error 0.7142857142857142857142857142823405e-29+/-0.107e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.13e1+/-0.5e-30 y[1] (closed_form) -0.104000000000000000000000000000491e2+/-0.192e-27 y[1] (numeric) -0.104000000000000000000000000000483e2+/-0.1e-26 absolute error 0.8e-30+/-0.119e-26 relative error 0.7692307692307692307692307692271375e-29+/-0.114e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.12e1+/-0.5e-30 y[1] (closed_form) -0.960000000000000000000000000004535e1+/-0.178e-27 y[1] (numeric) -0.960000000000000000000000000004451e1+/-0.1e-26 absolute error 0.84e-30+/-0.117e-26 relative error 0.8749999999999999999999999999958665e-29+/-0.121e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.11e1+/-0.5e-30 y[1] (closed_form) -0.880000000000000000000000000004157e1+/-0.163e-27 y[1] (numeric) -0.880000000000000000000000000004073e1+/-0.1e-26 absolute error 0.84e-30+/-0.116e-26 relative error 0.9545454545454545454545454545409454e-29+/-0.131e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.5e-30 y[1] (closed_form) -0.800000000000000000000000000003779e1+/-0.149e-27 y[1] (numeric) -0.800000000000000000000000000003695e1+/-0.1e-26 absolute error 0.84e-30+/-0.114e-26 relative error 0.104999999999999999999999999999504e-28+/-0.142e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.9e0+/-0.5e-30 y[1] (closed_form) -0.720000000000000000000000000003401e1+/-0.134e-27 y[1] (numeric) -0.720000000000000000000000000003317e1+/-0.1e-26 absolute error 0.84e-30+/-0.113e-26 relative error 0.1166666666666666666666666666661155e-28+/-0.156e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.5e-30 y[1] (closed_form) -0.640000000000000000000000000003023e1+/-0.12e-27 y[1] (numeric) -0.640000000000000000000000000002939e1+/-0.1e-26 absolute error 0.84e-30+/-0.112e-26 relative error 0.13124999999999999999999999999938e-28+/-0.175e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.7e0+/-0.5e-30 y[1] (closed_form) -0.560000000000000000000000000002645e1+/-0.105e-27 y[1] (numeric) -0.560000000000000000000000000002561e1+/-0.1e-26 absolute error 0.84e-30+/-0.11e-26 relative error 0.1499999999999999999999999999992915e-28+/-0.196e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.6e0+/-0.5e-30 y[1] (closed_form) -0.480000000000000000000000000002267e1+/-0.91e-28 y[1] (numeric) -0.480000000000000000000000000002183e1+/-0.1e-26 absolute error 0.84e-30+/-0.109e-26 relative error 0.1749999999999999999999999999991734e-28+/-0.227e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.5e0+/-0.5e-30 y[1] (closed_form) -0.400000000000000000000000000001889e1+/-0.765e-28 y[1] (numeric) -0.400000000000000000000000000001805e1+/-0.1e-26 absolute error 0.84e-30+/-0.107e-26 relative error 0.2099999999999999999999999999990082e-28+/-0.267e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.4e0+/-0.5e-30 y[1] (closed_form) -0.320000000000000000000000000001511e1+/-0.62e-28 y[1] (numeric) -0.320000000000000000000000000001427e1+/-0.1e-26 absolute error 0.84e-30+/-0.106e-26 relative error 0.2624999999999999999999999999987605e-28+/-0.331e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.3e0+/-0.5e-30 y[1] (closed_form) -0.240000000000000000000000000001133e1+/-0.475e-28 y[1] (numeric) -0.240000000000000000000000000001049e1+/-0.1e-26 absolute error 0.84e-30+/-0.104e-26 relative error 0.3499999999999999999999999999983477e-28+/-0.433e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.2e0+/-0.5e-30 y[1] (closed_form) -0.160000000000000000000000000000755e1+/-0.33e-28 y[1] (numeric) -0.160000000000000000000000000000671e1+/-0.1e-26 absolute error 0.84e-30+/-0.103e-26 relative error 0.5249999999999999999999999999975226e-28+/-0.643e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.1e0+/-0.5e-30 y[1] (closed_form) -0.800000000000000000000000000003779e0+/-0.185e-28 y[1] (numeric) -0.80000000000000000000000000000293e0+/-0.1e-26 absolute error 0.849e-30+/-0.101e-26 relative error 0.1061249999999999999999999999994986e-27+/-0.126e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 y[1] (closed_form) 0.0e0+/-0.400000000000000000000000000001889700000000000000000000000000000000000008000000000000000000000000000037794e-29 y[1] (numeric) 0.8497e-30+/-0.1e-26 absolute error 0.8497e-30+/-0.1e-26 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.2e-100 y[1] (closed_form) 0.8000000000000000000000000000037794e0+/-0.145e-28 y[1] (numeric) 0.8000000000000000000000000000046291e0+/-0.1e-26 absolute error 0.8497e-30+/-0.101e-26 relative error 0.1062124999999999999999999999994982e-27+/-0.126e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.4e-100 y[1] (closed_form) 0.1600000000000000000000000000007558e1+/-0.29e-28 y[1] (numeric) 0.1600000000000000000000000000008407e1+/-0.1e-26 absolute error 0.849e-30+/-0.102e-26 relative error 0.5306249999999999999999999999974934e-28+/-0.637e-25% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.6e-100 y[1] (closed_form) 0.2400000000000000000000000000011338e1+/-0.435e-28 y[1] (numeric) 0.2400000000000000000000000000012185e1+/-0.1e-26 absolute error 0.847e-30+/-0.104e-26 relative error 0.3529166666666666666666666666649994e-28+/-0.433e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e0+/-0.8e-100 y[1] (closed_form) 0.3200000000000000000000000000015117e1+/-0.58e-28 y[1] (numeric) 0.3200000000000000000000000000015963e1+/-0.1e-26 absolute error 0.846e-30+/-0.105e-26 relative error 0.264374999999999999999999999998751e-28+/-0.328e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5e0+/-0.10e-99 y[1] (closed_form) 0.4000000000000000000000000000018897e1+/-0.725e-28 y[1] (numeric) 0.4000000000000000000000000000019741e1+/-0.1e-26 absolute error 0.844e-30+/-0.107e-26 relative error 0.2109999999999999999999999999990031e-28+/-0.267e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6e0+/-0.12e-99 y[1] (closed_form) 0.4800000000000000000000000000022676e1+/-0.87e-28 y[1] (numeric) 0.4800000000000000000000000000023519e1+/-0.1e-26 absolute error 0.843e-30+/-0.108e-26 relative error 0.1756249999999999999999999999991703e-28+/-0.225e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7e0+/-0.14e-99 y[1] (closed_form) 0.5600000000000000000000000000026455e1+/-0.101e-27 y[1] (numeric) 0.5600000000000000000000000000027297e1+/-0.1e-26 absolute error 0.842e-30+/-0.11e-26 relative error 0.1503571428571428571428571428564325e-28+/-0.196e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e0+/-0.16e-99 y[1] (closed_form) 0.6400000000000000000000000000030235e1+/-0.116e-27 y[1] (numeric) 0.6400000000000000000000000000031075e1+/-0.1e-26 absolute error 0.84e-30+/-0.111e-26 relative error 0.1312499999999999999999999999993799e-28+/-0.173e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9e0+/-0.18e-99 y[1] (closed_form) 0.7200000000000000000000000000034014e1+/-0.13e-27 y[1] (numeric) 0.7200000000000000000000000000034853e1+/-0.1e-26 absolute error 0.839e-30+/-0.113e-26 relative error 0.1165277777777777777777777777772272e-28+/-0.156e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.20e-99 y[1] (closed_form) 0.8000000000000000000000000000037794e1+/-0.145e-27 y[1] (numeric) 0.8000000000000000000000000000038631e1+/-0.1e-26 absolute error 0.837e-30+/-0.114e-26 relative error 0.1046249999999999999999999999995057e-28+/-0.142e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.22e-99 y[1] (closed_form) 0.8800000000000000000000000000041573e1+/-0.159e-27 y[1] (numeric) 0.8800000000000000000000000000042409e1+/-0.1e-26 absolute error 0.836e-30+/-0.115e-26 relative error 0.949999999999999999999999999995512e-29+/-0.13e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.24e-99 y[1] (closed_form) 0.9600000000000000000000000000045352e1+/-0.174e-27 y[1] (numeric) 0.9600000000000000000000000000046187e1+/-0.1e-26 absolute error 0.835e-30+/-0.117e-26 relative error 0.8697916666666666666666666666625576e-29+/-0.121e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e1+/-0.26e-99 y[1] (closed_form) 0.1040000000000000000000000000004913e2+/-0.188e-27 y[1] (numeric) 0.1040000000000000000000000000004995e2+/-0.1e-26 absolute error 0.82e-30+/-0.118e-26 relative error 0.7884615384615384615384615384578137e-29+/-0.113e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e1+/-0.28e-99 y[1] (closed_form) 0.1120000000000000000000000000005291e2+/-0.203e-27 y[1] (numeric) 0.1120000000000000000000000000005371e2+/-0.1e-26 absolute error 0.8e-30+/-0.12e-26 relative error 0.7142857142857142857142857142823399e-29+/-0.107e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e1+/-0.30e-99 y[1] (closed_form) 0.1200000000000000000000000000005669e2+/-0.217e-27 y[1] (numeric) 0.1200000000000000000000000000005747e2+/-0.1e-26 absolute error 0.78e-30+/-0.121e-26 relative error 0.6499999999999999999999999999969292e-29+/-0.1e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e1+/-0.32e-99 y[1] (closed_form) 0.1280000000000000000000000000006047e2+/-0.232e-27 y[1] (numeric) 0.1280000000000000000000000000006123e2+/-0.1e-26 absolute error 0.76e-30+/-0.123e-26 relative error 0.5937499999999999999999999999971949e-29+/-0.96e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e1+/-0.34e-99 y[1] (closed_form) 0.1360000000000000000000000000006424e2+/-0.246e-27 y[1] (numeric) 0.1360000000000000000000000000006499e2+/-0.1e-26 absolute error 0.75e-30+/-0.124e-26 relative error 0.5514705882352941176470588235268068e-29+/-0.911e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e1+/-0.36e-99 y[1] (closed_form) 0.1440000000000000000000000000006802e2+/-0.261e-27 y[1] (numeric) 0.1440000000000000000000000000006875e2+/-0.1e-26 absolute error 0.73e-30+/-0.126e-26 relative error 0.5069444444444444444444444444420498e-29+/-0.875e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e1+/-0.38e-99 y[1] (closed_form) 0.152000000000000000000000000000718e2+/-0.275e-27 y[1] (numeric) 0.1520000000000000000000000000007251e2+/-0.1e-26 absolute error 0.71e-30+/-0.127e-26 relative error 0.4671052631578947368421052631556882e-29+/-0.835e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.40e-99 y[1] (closed_form) 0.1600000000000000000000000000007558e2+/-0.29e-27 y[1] (numeric) 0.1600000000000000000000000000007627e2+/-0.1e-26 absolute error 0.69e-30+/-0.129e-26 relative error 0.4312499999999999999999999999979628e-29+/-0.806e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.42e-99 y[1] (closed_form) 0.1680000000000000000000000000007936e2+/-0.304e-27 y[1] (numeric) 0.1680000000000000000000000000008003e2+/-0.1e-26 absolute error 0.67e-30+/-0.13e-26 relative error 0.3988095238095238095238095238076399e-29+/-0.773e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e1+/-0.44e-99 y[1] (closed_form) 0.1760000000000000000000000000008314e2+/-0.319e-27 y[1] (numeric) 0.1760000000000000000000000000008379e2+/-0.1e-26 absolute error 0.65e-30+/-0.131e-26 relative error 0.3693181818181818181818181818164372e-29+/-0.744e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e1+/-0.46e-99 y[1] (closed_form) 0.1840000000000000000000000000008692e2+/-0.333e-27 y[1] (numeric) 0.1840000000000000000000000000008755e2+/-0.1e-26 absolute error 0.63e-30+/-0.133e-26 relative error 0.3423913043478260869565217391288173e-29+/-0.722e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e1+/-0.48e-99 y[1] (closed_form) 0.192000000000000000000000000000907e2+/-0.348e-27 y[1] (numeric) 0.1920000000000000000000000000009131e2+/-0.1e-26 absolute error 0.61e-30+/-0.134e-26 relative error 0.3177083333333333333333333333318324e-29+/-0.697e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e1+/-0.50e-99 y[1] (closed_form) 0.2000000000000000000000000000009448e2+/-0.362e-27 y[1] (numeric) 0.2000000000000000000000000000009507e2+/-0.1e-26 absolute error 0.59e-30+/-0.136e-26 relative error 0.2949999999999999999999999999986064e-29+/-0.68e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e1+/-0.52e-99 y[1] (closed_form) 0.2080000000000000000000000000009826e2+/-0.377e-27 y[1] (numeric) 0.2080000000000000000000000000009883e2+/-0.1e-26 absolute error 0.57e-30+/-0.137e-26 relative error 0.2740384615384615384615384615371669e-29+/-0.658e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e1+/-0.54e-99 y[1] (closed_form) 0.2160000000000000000000000000010204e2+/-0.391e-27 y[1] (numeric) 0.2160000000000000000000000000010259e2+/-0.1e-26 absolute error 0.55e-30+/-0.139e-26 relative error 0.2546296296296296296296296296284267e-29+/-0.643e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e1+/-0.56e-99 y[1] (closed_form) 0.2240000000000000000000000000010582e2+/-0.406e-27 y[1] (numeric) 0.2240000000000000000000000000010635e2+/-0.1e-26 absolute error 0.53e-30+/-0.14e-26 relative error 0.236607142857142857142857142856025e-29+/-0.625e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e1+/-0.58e-99 y[1] (closed_form) 0.232000000000000000000000000001096e2+/-0.42e-27 y[1] (numeric) 0.2320000000000000000000000000011011e2+/-0.1e-26 absolute error 0.51e-30+/-0.142e-26 relative error 0.2198275862068965517241379310334442e-29+/-0.612e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e1+/-0.60e-99 y[1] (closed_form) 0.2400000000000000000000000000011338e2+/-0.435e-27 y[1] (numeric) 0.2400000000000000000000000000011387e2+/-0.1e-26 absolute error 0.49e-30+/-0.143e-26 relative error 0.2041666666666666666666666666657021e-29+/-0.595e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31e1+/-0.62e-99 y[1] (closed_form) 0.2480000000000000000000000000011716e2+/-0.449e-27 y[1] (numeric) 0.2480000000000000000000000000011763e2+/-0.1e-26 absolute error 0.47e-30+/-0.144e-26 relative error 0.1895161290322580645161290322571692e-29+/-0.58e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32e1+/-0.64e-99 y[1] (closed_form) 0.2560000000000000000000000000012094e2+/-0.464e-27 y[1] (numeric) 0.2560000000000000000000000000012139e2+/-0.1e-26 absolute error 0.45e-30+/-0.146e-26 relative error 0.1757812499999999999999999999991695e-29+/-0.57e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e1+/-0.66e-99 y[1] (closed_form) 0.2640000000000000000000000000012472e2+/-0.478e-27 y[1] (numeric) 0.2640000000000000000000000000012515e2+/-0.1e-26 absolute error 0.43e-30+/-0.147e-26 relative error 0.1628787878787878787878787878780183e-29+/-0.556e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e1+/-0.68e-99 y[1] (closed_form) 0.2720000000000000000000000000012849e2+/-0.493e-27 y[1] (numeric) 0.2720000000000000000000000000012891e2+/-0.1e-26 absolute error 0.42e-30+/-0.149e-26 relative error 0.1544117647058823529411764705875058e-29+/-0.547e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e1+/-0.70e-99 y[1] (closed_form) 0.2800000000000000000000000000013227e2+/-0.507e-27 y[1] (numeric) 0.2800000000000000000000000000013267e2+/-0.1e-26 absolute error 0.4e-30+/-0.15e-26 relative error 0.142857142857142857142857142856468e-29+/-0.535e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36e1+/-0.72e-99 y[1] (closed_form) 0.2880000000000000000000000000013605e2+/-0.522e-27 y[1] (numeric) 0.2880000000000000000000000000013643e2+/-0.1e-26 absolute error 0.38e-30+/-0.152e-26 relative error 0.1319444444444444444444444444438211e-29+/-0.527e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37e1+/-0.74e-99 y[1] (closed_form) 0.2960000000000000000000000000013983e2+/-0.536e-27 y[1] (numeric) 0.2960000000000000000000000000014019e2+/-0.1e-26 absolute error 0.36e-30+/-0.153e-26 relative error 0.121621621621621621621621621621047e-29+/-0.516e-26% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38e1+/-0.76e-99 y[1] (closed_form) 0.3040000000000000000000000000014361e2+/-0.551e-27 y[1] (numeric) 0.3040000000000000000000000000014395e2+/-0.1e-26 absolute error 0.34e-30+/-0.155e-26 relative error 0.1118421052631578947368421052626295e-29+/-0.509e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39e1+/-0.78e-99 y[1] (closed_form) 0.3120000000000000000000000000014739e2+/-0.565e-27 y[1] (numeric) 0.3120000000000000000000000000014771e2+/-0.1e-26 absolute error 0.32e-30+/-0.156e-26 relative error 0.102564102564102564102564102563618e-29+/-0.5e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e1+/-0.80e-99 y[1] (closed_form) 0.3200000000000000000000000000015117e2+/-0.58e-27 y[1] (numeric) 0.3200000000000000000000000000015147e2+/-0.1e-26 absolute error 0.3e-30+/-0.158e-26 relative error 0.9374999999999999999999999999955711e-30+/-0.493e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41e1+/-0.82e-99 y[1] (closed_form) 0.3280000000000000000000000000015495e2+/-0.594e-27 y[1] (numeric) 0.3280000000000000000000000000015523e2+/-0.1e-26 absolute error 0.28e-30+/-0.159e-26 relative error 0.8536585365853658536585365853618209e-30+/-0.484e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42e1+/-0.84e-99 y[1] (closed_form) 0.3360000000000000000000000000015873e2+/-0.609e-27 y[1] (numeric) 0.3360000000000000000000000000015899e2+/-0.1e-26 absolute error 0.26e-30+/-0.16e-26 relative error 0.7738095238095238095238095238058682e-30+/-0.476e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43e1+/-0.86e-99 y[1] (closed_form) 0.3440000000000000000000000000016251e2+/-0.623e-27 y[1] (numeric) 0.3440000000000000000000000000016275e2+/-0.1e-26 absolute error 0.24e-30+/-0.162e-26 relative error 0.6976744186046511627906976744153087e-30+/-0.47e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44e1+/-0.88e-99 y[1] (closed_form) 0.3520000000000000000000000000016629e2+/-0.638e-27 y[1] (numeric) 0.3520000000000000000000000000016651e2+/-0.1e-26 absolute error 0.22e-30+/-0.163e-26 relative error 0.6249999999999999999999999999970474e-30+/-0.463e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45e1+/-0.90e-99 y[1] (closed_form) 0.3600000000000000000000000000017007e2+/-0.652e-27 y[1] (numeric) 0.3600000000000000000000000000017027e2+/-0.1e-26 absolute error 0.2e-30+/-0.165e-26 relative error 0.555555555555555555555555555552931e-30+/-0.458e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46e1+/-0.92e-99 y[1] (closed_form) 0.3680000000000000000000000000017385e2+/-0.667e-27 y[1] (numeric) 0.3680000000000000000000000000017403e2+/-0.1e-26 absolute error 0.18e-30+/-0.166e-26 relative error 0.4891304347826086956521739130411675e-30+/-0.451e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47e1+/-0.94e-99 y[1] (closed_form) 0.3760000000000000000000000000017763e2+/-0.681e-27 y[1] (numeric) 0.3760000000000000000000000000017779e2+/-0.1e-26 absolute error 0.16e-30+/-0.168e-26 relative error 0.4255319148936170212765957446788407e-30+/-0.446e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48e1+/-0.96e-99 y[1] (closed_form) 0.3840000000000000000000000000018141e2+/-0.696e-27 y[1] (numeric) 0.3840000000000000000000000000018155e2+/-0.1e-26 absolute error 0.14e-30+/-0.169e-26 relative error 0.3645833333333333333333333333316109e-30+/-0.44e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49e1+/-0.98e-99 y[1] (closed_form) 0.3920000000000000000000000000018519e2+/-0.71e-27 y[1] (numeric) 0.3920000000000000000000000000018531e2+/-0.1e-26 absolute error 0.12e-30+/-0.171e-26 relative error 0.3061224489795918367346938775495742e-30+/-0.436e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 NO 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 ) = expt ( 2.0 , 3.0 ) ; Iterations 200 Total Elapsed Time 4 Minutes 51 Seconds Elapsed Time(since restart) 4 Minutes 51 Seconds Time to Timeout 15 Minutes 9 Seconds Percent Done 0.1005e3+/-0.155e-28%