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/nonlinear2postode.ode################# diff ( y , x , 1 ) = y * y ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb x_start=c(0.0) x_end=c(0.2) $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=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.5) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=true $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(2.0)/(c(1.0) - c(2.0)*c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50e-33 y[1] (closed_form) 0.2e1+/-0.15e-32 y[1] (numeric) 0.2e1+/-0.35e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.50e-32 relative error 0.0e0+/-0.250000000000000000000000000000000375e-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 0.50000000000000000000000000000000317e0+/-0.5e-32 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.49999999999999993004492729492729727e0+/-0.358e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.500000000000002195330641580651113171e0+/-0.625e-29 Order of pole (three term test) 0.10000000000000585000000000002541305e1+/-0.715e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e-1+/-0.50e-32 y[1] (closed_form) 0.204081632653061224489795918367346938e1+/-0.223e-31 y[1] (numeric) 0.20408163265306122448979422695877407e1+/-0.616e-31 absolute error 0.1691408572868e-22+/-0.839e-31 relative error 0.828790200705320000000000000000000003e-21+/-0.411e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.490000000000000000000000000000003514e0+/-0.547e-31 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.489999999999999931444032810100734787e0+/-0.376e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.4900000000000021514240328101100745e0+/-0.647e-29 Order of pole (three term test) 0.10000000000000585000000000002541334e1+/-0.761e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e-1+/-0.100e-31 y[1] (closed_form) 0.208333333333333333333333333333333333e1+/-0.45e-31 y[1] (numeric) 0.208333333333333333333329734845993071e1+/-0.111e-30 absolute error 0.3598487340262e-22+/-0.156e-30 relative error 0.172727392332576e-20+/-0.748e-29% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.480000000000000000000000000000003364e0+/-0.104e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.479999999999999932843138494045037358e0+/-0.388e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.480000000000002107517424208339900766e0+/-0.673e-29 Order of pole (three term test) 0.10000000000000585000000000002541331e1+/-0.806e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e-1+/-0.150e-31 y[1] (closed_form) 0.212765957446808510638297872340425531e1+/-0.695e-31 y[1] (numeric) 0.212765957446808510638292123009282291e1+/-0.147e-30 absolute error 0.574933114324e-22+/-0.216e-30 relative error 0.270218563732280000000000000000000001e-20+/-0.101e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.47000000000000000000000000000000349e0+/-0.153e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.469999999999999934242244357504154854e0+/-0.388e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.470000000000002063610815786084542025e0+/-0.665e-29 Order of pole (three term test) 0.10000000000000585000000000002541368e1+/-0.816e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e-1+/-0.200e-31 y[1] (closed_form) 0.217391304347826086956521739130434782e1+/-0.962e-31 y[1] (numeric) 0.217391304347826086956513562939206532e1+/-0.182e-30 absolute error 0.817619122825e-22+/-0.278e-30 relative error 0.376104796499500000000000000000000001e-20+/-0.127e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.460000000000000000000000000000003469e0+/-0.204e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.459999999999999935641350412153752469e0+/-0.387e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.460000000000002019704207555019663338e0+/-0.674e-29 Order of pole (three term test) 0.1000000000000058500000000000254137e1+/-0.847e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5e-1+/-0.250e-31 y[1] (closed_form) 0.222222222222222222222222222222222222e1+/-0.125e-30 y[1] (numeric) 0.222222222222222222222211306039565974e1+/-0.222e-30 absolute error 0.10916182656248e-21+/-0.347e-30 relative error 0.49122821953116e-20+/-0.156e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.450000000000000000000000000000003655e0+/-0.253e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.449999999999999937040456670704446446e0+/-0.387e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.450000000000001975797599527855881067e0+/-0.678e-29 Order of pole (three term test) 0.10000000000000585000000000002541376e1+/-0.873e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6e-1+/-0.300e-31 y[1] (closed_form) 0.227272727272727272727272727272727272e1+/-0.156e-30 y[1] (numeric) 0.227272727272727272727258715143049624e1+/-0.268e-30 absolute error 0.14012129677648e-21+/-0.424e-30 relative error 0.616533705816512000000000000000000001e-20+/-0.186e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.440000000000000000000000000000003689e0+/-0.302e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.439999999999999938439563147019077524e0+/-0.39e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.440000000000001931890991718456035697e0+/-0.684e-29 Order of pole (three term test) 0.10000000000000585000000000002541339e1+/-0.897e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7e-1+/-0.350e-31 y[1] (closed_form) 0.232558139534883720930232558139534883e1+/-0.191e-30 y[1] (numeric) 0.232558139534883720930215044559856845e1+/-0.312e-30 absolute error 0.17513579678038e-21+/-0.503e-30 relative error 0.753083926155634000000000000000000002e-20+/-0.216e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.430000000000000000000000000000004058e0+/-0.351e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.429999999999999939838669856246300348e0+/-0.394e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.430000000000001887984384141968781977e0+/-0.682e-29 Order of pole (three term test) 0.10000000000000585000000000002541288e1+/-0.917e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e-1+/-0.400e-31 y[1] (closed_form) 0.238095238095238095238095238095238095e1+/-0.228e-30 y[1] (numeric) 0.238095238095238095238073760071275278e1+/-0.362e-30 absolute error 0.21478023962817e-21+/-0.590e-30 relative error 0.902077006438314e-20+/-0.247e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.420000000000000000000000000000003995e0+/-0.402e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.419999999999999941237776814973200121e0+/-0.396e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.42000000000000184407777681498120555e0+/-0.686e-29 Order of pole (three term test) 0.1000000000000058500000000000254133e1+/-0.949e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9e-1+/-0.450e-31 y[1] (closed_form) 0.243902439024390243902439024390243902e1+/-0.269e-30 y[1] (numeric) 0.243902439024390243902413052016780838e1+/-0.415e-30 absolute error 0.25972373463064e-21+/-0.684e-30 relative error 0.1064867311985624e-19+/-0.28e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.41000000000000000000000000000000403e0+/-0.45e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.409999999999999942636884041400175182e0+/-0.401e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.410000000000001800171169755693704339e0+/-0.696e-29 Order of pole (three term test) 0.10000000000000585000000000002541342e1+/-0.985e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.500e-31 y[1] (closed_form) 0.25e1+/-0.313e-30 y[1] (numeric) 0.249999999999999999999968925249917571e1+/-0.487e-30 absolute error 0.31074750082429e-21+/-0.800e-30 relative error 0.124299000329716e-19+/-0.32e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.400000000000000000000000000000004136e0+/-0.502e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.399999999999999944035991555541969705e0+/-0.397e-29 Order of pole (ratio test) 0.999999999999999999999999999999999999e0+/-0.5e-33 Radius of convergence (three term test) for eq 1 0.40000000000000175626456298412102263e0+/-0.695e-29 Order of pole (three term test) 0.10000000000000585000000000002541369e1+/-0.1e-25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-31 y[1] (closed_form) 0.25641025641025641025641025641025641e1+/-0.362e-30 y[1] (numeric) 0.256410256410256410256373379739484987e1+/-0.548e-30 absolute error 0.36876670771423e-21+/-0.910e-30 relative error 0.1438190160085497e-19+/-0.354e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.390000000000000000000000000000004412e0+/-0.553e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.389999999999999945435099379459535202e0+/-0.389e-29 Order of pole (ratio test) 0.999999999999999999999999999999999999e0+/-0.5e-33 Radius of convergence (three term test) for eq 1 0.390000000000001712357956522324111908e0+/-0.702e-29 Order of pole (three term test) 0.10000000000000585000000000002541393e1+/-0.103e-25 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = y * y ; Iterations 111 Total Elapsed Time 3 Minutes 4 Seconds Elapsed Time(since restart) 3 Minutes 4 Seconds Expected Time Remaining 2 Minutes 24 Seconds Optimized Time Remaining 2 Minutes 24 Seconds Expected Total Time 5 Minutes 28 Seconds Time to Timeout 0.0 Seconds Percent Done 0.56e2+/-0.281e-28%