Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/sing2postode.ode################# diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=16; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-2.0) x_end=c(-1.5) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_h=c(0.001) $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 # ELIMINATED in preodein.rb $glob_type_given_pole=2 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # 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=(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(arctan(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.2e1+/-0.50e-32 y[1] (closed_form) -0.11071487177940905030170654601785372e1+/-0.234e-32 y[1] (numeric) -0.11071487177940905030170654601785372e1+/-0.344e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.578e-32 relative error 0.0e0+/-0.522061752599615504293810731606534067e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.223606797749978969640917366873127562e1+/-0.474e-30 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.199e1+/-0.100e-31 y[1] (closed_form) -0.11051406883644943008915050378616926e1+/-0.336e-32 y[1] (numeric) -0.11051406883644943008915050673685752e1+/-0.235e-31 absolute error 0.295068826e-25+/-0.268e-31 relative error 0.266996617812230305332975627033681828e-23+/-0.242e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.222712819568160467398137696074714236e1+/-0.919e-30 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.198e1+/-0.150e-31 y[1] (closed_form) -0.11031164815829970696814015123260034e1+/-0.439e-32 y[1] (numeric) -0.11031164815829970696814015717287842e1+/-0.435e-31 absolute error 0.594027808e-25+/-0.478e-31 relative error 0.538499621678715811459955302431957598e-23+/-0.433e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.221819746641276281122341406138612488e1+/-0.135e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.197e1+/-0.200e-31 y[1] (closed_form) -0.11010759179539863906574241535935467e1+/-0.544e-32 y[1] (numeric) -0.11010759179539863906574242432865702e1+/-0.635e-31 absolute error 0.896930235e-25+/-0.689e-31 relative error 0.814594362091463366970070605682788443e-23+/-0.625e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.220927589947475777011918715085558777e1+/-0.18e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.196e1+/-0.250e-31 y[1] (closed_form) -0.10990188156141465914150865810102613e1+/-0.651e-32 y[1] (numeric) -0.10990188156141465914150867013932568e1+/-0.835e-31 absolute error 0.1203829955e-24+/-0.9e-31 relative error 0.109536792081879282938728208205931829e-22+/-0.818e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.220036360631601067207892577167362564e1+/-0.224e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.195e1+/-0.300e-31 y[1] (closed_form) -0.10969449903001362679863900213251227e1+/-0.759e-32 y[1] (numeric) -0.10969449903001362679863901728032582e1+/-0.1e-30 absolute error 0.1514781355e-24+/-0.107e-30 relative error 0.138090913254049237831969441105200929e-22+/-0.975e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.219146070008111256569497704240974414e1+/-0.267e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.194e1+/-0.350e-31 y[1] (closed_form) -0.10948542553159380994455447450489906e1+/-0.869e-32 y[1] (numeric) -0.10948542553159380994455449280329271e1+/-0.1e-30 absolute error 0.1829839365e-24+/-0.108e-30 relative error 0.167130862954171916516472891500855095e-22+/-0.986e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.218256729564061781302134118564251455e1+/-0.309e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.193e1+/-0.400e-31 y[1] (closed_form) -0.10927464214998853136517488147423823e1+/-0.976e-32 y[1] (numeric) -0.10927464214998853136517490296483271e1+/-0.1e-30 absolute error 0.2149059448e-24+/-0.109e-30 relative error 0.196665887502997926671740006464874621e-22+/-0.997e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.217368350962139840216588403665937828e1+/-0.356e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.192e1+/-0.450e-31 y[1] (closed_form) -0.10906212971913697055492876549512979e1+/-0.109e-31 y[1] (numeric) -0.10906212971913697055492879022010564e1+/-0.1e-30 absolute error 0.2472497585e-24+/-0.11e-30 relative error 0.22670541932083272958325923103793565e-22+/-0.1e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.216480946043756931841210013272585378e1+/-0.398e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.191e1+/-0.500e-31 y[1] (closed_form) -0.10884786881972366827187816331298393e1+/-0.12e-31 y[1] (numeric) -0.10884786881972366827187819131508666e1+/-0.1e-30 absolute error 0.2800210273e-24+/-0.112e-30 relative error 0.257259081263021543158041289059461555e-22+/-0.102e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.215594526832199522791789143721391139e1+/-0.444e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO 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+/-0.550e-31 y[1] (closed_form) -0.10863183977578734180639795819256778e1+/-0.132e-31 y[1] (numeric) -0.10863183977578734180639798951511286e1+/-0.1e-30 absolute error 0.3132254508e-24+/-0.113e-30 relative error 0.288336689727880294199489848718417125e-22+/-0.104e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.21470910553583888469209698781039017e1+/-0.487e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.189e1+/-0.600e-31 y[1] (closed_form) -0.10841402265129968281046114745510166e1+/-0.144e-31 y[1] (numeric) -0.10841402265129968281046118214197941e1+/-0.1e-30 absolute error 0.3468687775e-24+/-0.114e-30 relative error 0.319948258552918557792503357036085456e-22+/-0.105e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.213824694551401148494001290233335519e1+/-0.53e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.188e1+/-0.650e-31 y[1] (closed_form) -0.10819439724671487688656673050120701e1+/-0.156e-31 y[1] (numeric) -0.10819439724671487688656676859688734e1+/-0.1e-30 absolute error 0.3809568033e-24+/-0.115e-30 relative error 0.352104002604965803784169066992215771e-22+/-0.106e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.212941306467298636229910190786718586e1+/-0.574e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.187e1+/-0.700e-31 y[1] (closed_form) -0.1079729430954906551406774541380252e1+/-0.168e-31 y[1] (numeric) -0.10797294309549065514067749568756225e1+/-0.1e-30 absolute error 0.4154953705e-24+/-0.116e-30 relative error 0.384814341989861537587795643113119391e-22+/-0.107e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.212058954067023540999612411914172825e1+/-0.617e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.186e1+/-0.750e-31 y[1] (closed_form) -0.10774963946058176272852082847048821e1+/-0.181e-31 y[1] (numeric) -0.10774963946058176272852087351952478e1+/-0.1e-30 absolute error 0.4504903657e-24+/-0.118e-30 relative error 0.418089905409663733420179176374217969e-22+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.211177650332605036303259103948044862e1+/-0.66e-29 Order of pole (given) 0.1e1+/-0.50e-33 NO 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! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; Iterations 148 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 7 Minutes 6 Seconds Optimized Time Remaining 7 Minutes 6 Seconds Expected Total Time 10 Minutes 7 Seconds Time to Timeout 0.0 Seconds Percent Done 0.298e2+/-0.174e-28%