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/tan_sqrt_linpostode.ode################# diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=40 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.001) # 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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-1.5) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.5) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #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(c(0.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) 0.0e0+/-0.50000000000000000000000000000005e-31 absolute error 0.0e0+/-0.50e-31 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1600000000000000000000000000000853e1+/-0.553e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.425095153663888241142379708741856e0+/-0.27e-28 absolute error 0.425095153663888241142379708741856e0+/-0.27e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.170000000000000000000000000000078e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.765294306436882894540032711042709e0+/-0.457e-28 absolute error 0.765294306436882894540032711042709e0+/-0.457e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1800000000000000000000000000000723e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.104879064905835231968391294753824e1+/-0.599e-28 absolute error 0.104879064905835231968391294753824e1+/-0.599e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.190000000000000000000000000000063e1+/-0.552e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.129147638265086782492291779237602e1+/-0.713e-28 absolute error 0.129147638265086782492291779237602e1+/-0.713e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1999999999999999999999999999999974e1+/-0.553e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.150320281329988530106543136109964e1+/-0.807e-28 absolute error 0.150320281329988530106543136109964e1+/-0.807e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.209999999999999999999999999999996e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.169050383865656206657969621831417e1+/-0.888e-28 absolute error 0.169050383865656206657969621831417e1+/-0.888e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2199999999999999999999999999999949e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.185793845091781763838432597462727e1+/-0.958e-28 absolute error 0.185793845091781763838432597462727e1+/-0.958e-28 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2299999999999999999999999999999943e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.200881565986194212636863201130863e1+/-0.102e-27 absolute error 0.200881565986194212636863201130863e1+/-0.102e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2399999999999999999999999999999937e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.214561422557671506972835098220617e1+/-0.106e-27 absolute error 0.214561422557671506972835098220617e1+/-0.106e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.249999999999999999999999999999992e1+/-0.554e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.227023949934055727686493691915442e1+/-0.11e-27 absolute error 0.227023949934055727686493691915442e1+/-0.11e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2599999999999999999999999999999914e1+/-0.556e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.238418781604695531443454778005192e1+/-0.114e-27 absolute error 0.238418781604695531443454778005192e1+/-0.114e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2699999999999999999999999999999907e1+/-0.556e-28 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.248865571572414478446961788104026e1+/-0.118e-27 absolute error 0.248865571572414478446961788104026e1+/-0.118e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2799999999999999999999999999999878e1+/-0.11e-27 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.258461483186549941831414745675726e1+/-0.122e-27 absolute error 0.258461483186549941831414745675726e1+/-0.122e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2899999999999999999999999999999864e1+/-0.111e-27 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.267286464153998126013879204741524e1+/-0.125e-27 absolute error 0.267286464153998126013879204741524e1+/-0.125e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2999999999999999999999999999999852e1+/-0.111e-27 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.275407049829333738033644479001308e1+/-0.127e-27 absolute error 0.275407049829333738033644479001308e1+/-0.127e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3099999999999999999999999999999825e1+/-0.111e-27 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.282879161823316548088461255224223e1+/-0.129e-27 absolute error 0.282879161823316548088461255224223e1+/-0.129e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3200000000000000000000000000004673e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.2897502046004886754647846740664e1+/-0.131e-27 absolute error 0.2897502046004886754647846740664e1+/-0.131e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3300000000000000000000000000004697e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.296060661335669864783885019617176e1+/-0.133e-27 absolute error 0.296060661335669864783885019617176e1+/-0.133e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3400000000000000000000000000004536e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.301845325962170071722617163401193e1+/-0.135e-27 absolute error 0.301845325962170071722617163401193e1+/-0.135e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3500000000000000000000000000004443e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.307134266492409075550999400194474e1+/-0.137e-27 absolute error 0.307134266492409075550999400194474e1+/-0.137e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3600000000000000000000000000004026e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.311953586851366613978401604392091e1+/-0.139e-27 absolute error 0.311953586851366613978401604392091e1+/-0.139e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3700000000000000000000000000003928e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.316326035567560689254073833089586e1+/-0.143e-27 absolute error 0.316326035567560689254073833089586e1+/-0.143e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3800000000000000000000000000003889e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.320271496605618216097555039893122e1+/-0.147e-27 absolute error 0.320271496605618216097555039893122e1+/-0.147e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3900000000000000000000000000003747e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.323807388446108342876077910107142e1+/-0.151e-27 absolute error 0.323807388446108342876077910107142e1+/-0.151e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4000000000000000000000000000003566e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.326948990969565362120183663097426e1+/-0.155e-27 absolute error 0.326948990969565362120183663097426e1+/-0.155e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4100000000000000000000000000003566e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.329709714963509067754703448682893e1+/-0.158e-27 absolute error 0.329709714963509067754703448682893e1+/-0.158e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4200000000000000000000000000003443e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.332101325598724221776663803795621e1+/-0.16e-27 absolute error 0.332101325598724221776663803795621e1+/-0.16e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4300000000000000000000000000003059e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.334134128645435755272867967740652e1+/-0.162e-27 absolute error 0.334134128645435755272867967740652e1+/-0.162e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4400000000000000000000000000003145e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.335817126268210014365475413911333e1+/-0.164e-27 absolute error 0.335817126268210014365475413911333e1+/-0.164e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4500000000000000000000000000002758e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.33715814777422533630989766827781e1+/-0.166e-27 absolute error 0.33715814777422533630989766827781e1+/-0.166e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4600000000000000000000000000002972e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.338163959568729454753215416389987e1+/-0.168e-27 absolute error 0.338163959568729454753215416389987e1+/-0.168e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4700000000000000000000000000002708e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.338840357705343118408801141191943e1+/-0.168e-27 absolute error 0.338840357705343118408801141191943e1+/-0.168e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4800000000000000000000000000002791e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.339192245743347517098719784380318e1+/-0.168e-27 absolute error 0.339192245743347517098719784380318e1+/-0.168e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4900000000000000000000000000002424e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.339223700092481331045487416822575e1+/-0.168e-27 absolute error 0.339223700092481331045487416822575e1+/-0.168e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5000000000000000000000000000002586e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.3389380246036215305031815905618e1+/-0.181e-27 absolute error 0.3389380246036215305031815905618e1+/-0.181e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5100000000000000000000000000002517e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.338337795825378221343949333696296e1+/-0.198e-27 absolute error 0.338337795825378221343949333696296e1+/-0.198e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5200000000000000000000000000002329e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.337424900072809193374999940202374e1+/-0.219e-27 absolute error 0.337424900072809193374999940202374e1+/-0.219e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5300000000000000000000000000002233e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.336200563230507327513036732574035e1+/-0.246e-27 absolute error 0.336200563230507327513036732574035e1+/-0.246e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.540000000000000000000000000000205e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.334665374026997018803608526542253e1+/-0.278e-27 absolute error 0.334665374026997018803608526542253e1+/-0.278e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.550000000000000000000000000000202e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.332819301361978384462211350437745e1+/-0.315e-27 absolute error 0.332819301361978384462211350437745e1+/-0.315e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5600000000000000000000000000001962e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.330661706135635181432759926950301e1+/-0.358e-27 absolute error 0.330661706135635181432759926950301e1+/-0.358e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5700000000000000000000000000002075e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.328191347914519429350997707960935e1+/-0.408e-27 absolute error 0.328191347914519429350997707960935e1+/-0.408e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5800000000000000000000000000001868e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.325406386667018702700818840358693e1+/-0.465e-27 absolute error 0.325406386667018702700818840358693e1+/-0.465e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5900000000000000000000000000001753e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.322304379709433589925900633994286e1+/-0.531e-27 absolute error 0.322304379709433589925900633994286e1+/-0.531e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6000000000000000000000000000001725e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.31888227391811943147218044313554e1+/-0.605e-27 absolute error 0.31888227391811943147218044313554e1+/-0.605e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6099999999999999999999999999999623e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.315136393181228579185985400592983e1+/-0.688e-27 absolute error 0.315136393181228579185985400592983e1+/-0.688e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6199999999999999999999999999999609e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.311062420982810822324182778051453e1+/-0.78e-27 absolute error 0.311062420982810822324182778051453e1+/-0.78e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 12 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6299999999999999999999999999999603e1+/-0.11e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO 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-31 y[1] (closed_form) 0.0e0+/-0.50e-31 y[1] (numeric) -0.306655377929985539394215321299617e1+/-0.883e-27 absolute error 0.306655377929985539394215321299617e1+/-0.883e-27 relative error -0.1e1+/-0.50e-31% Desired digits 8 Estimated correct digits 12 Correct digits -16 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6399999999999999999999999999999583e1+/-0.109e-26 Order of pole (given) 0.5e0+/-0.50e-31 NO 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 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; Iterations 98 Total Elapsed Time 5 Minutes 0 Seconds Elapsed Time(since restart) 5 Minutes 0 Seconds Time to Timeout 15 Minutes 0 Seconds Percent Done 0.1010204081632653061224489795918367e3+/-0.914e-29%