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/sing3postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; ! #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(-0.7) $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 # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(2.0) # 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=(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(1.0)/c(x)/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-30 y[1] (closed_form) 0.25e0+/-0.137e-30 y[1] (numeric) 0.25e0+/-0.161e-30 absolute error 0.0e0+/-0.298e-30 relative error 0.0e0+/-0.1192000000000000000000000000001306e-27% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1999999999999999999999999999999974e1+/-0.503e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.2770083102493074792243767313019389e0+/-0.159e-30 y[1] (numeric) 0.2770083099645016478265917205289917e0+/-0.249e-30 absolute error 0.2848058313977850107729472e-9+/-0.408e-30 relative error 0.1028149051346003888890339392e-6+/-0.147e-27% Desired digits 8 Estimated correct digits 14 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.190000000000000000000000000000063e1+/-0.503e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.3086419753086419753086419753086416e0+/-0.186e-30 y[1] (numeric) 0.308641974590852639622007144006154e0+/-0.376e-30 absolute error 0.7177893356866348313024876e-9+/-0.562e-30 relative error 0.2325637447624696853420059824000002e-6+/-0.182e-27% Desired digits 8 Estimated correct digits 14 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1800000000000000000000000000000723e1+/-0.504e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.3460207612456747404844290657439441e0+/-0.22e-30 y[1] (numeric) 0.3460207598541849888390608837076014e0+/-0.542e-30 absolute error 0.13914897516453681820363427e-8+/-0.762e-30 relative error 0.4021405382255114046085030403000006e-6+/-0.22e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.170000000000000000000000000000078e1+/-0.503e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.390625e0+/-0.263e-30 y[1] (numeric) 0.390624997532741695381517753901617e0+/-0.728e-30 absolute error 0.2467258304618482246098383e-8+/-0.991e-30 relative error 0.631618125982331455001186048e-6+/-0.253e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1600000000000000000000000000000853e1+/-0.504e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.444444444444444444444444444444444e0+/-0.318e-30 y[1] (numeric) 0.4444444402085715673361461553873818e0+/-0.953e-30 absolute error 0.42358728771082982890570622e-8+/-0.127e-29 relative error 0.9530713973493671150378389950000009e-6+/-0.285e-27% Desired digits 8 Estimated correct digits 13 Correct digits 9 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.15000000000000000000000000000009e1+/-0.502e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.5102040816326530612244897959183671e0+/-0.389e-30 y[1] (numeric) 0.5102040743914145557463944992356075e0+/-0.111e-29 absolute error 0.72412385054780952966827596e-8+/-0.149e-29 relative error 0.14192827470737066781498208816e-5+/-0.292e-27% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1400000000000000000000000000000957e1+/-0.502e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.5917159763313609467455621301775146e0+/-0.484e-30 y[1] (numeric) 0.5917159637866391970922866205275852e0+/-0.125e-29 absolute error 0.125447217496532755096499294e-7+/-0.173e-29 relative error 0.21200579756914035611308380686e-5+/-0.292e-27% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1300000000000000000000000000001151e1+/-0.503e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.6944444444444444444444444444444441e0+/-0.612e-30 y[1] (numeric) 0.6944444221239808295019522913508158e0+/-0.144e-29 absolute error 0.223204636149424921530936283e-7+/-0.205e-29 relative error 0.3214146760551718870045482475200001e-5+/-0.295e-27% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1200000000000000000000000000001352e1+/-0.502e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.826446280991735537190082644628099e0+/-0.792e-30 y[1] (numeric) 0.8264462397119756912460322091001355e0+/-0.17e-29 absolute error 0.412797598459440504355279635e-7+/-0.249e-29 relative error 0.4994850941359230102698883583500001e-5+/-0.301e-27% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1100000000000000000000000000001404e1+/-0.502e-28 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.1e1+/-0.105e-29 y[1] (numeric) 0.9999999196716305318914746417835598e0+/-0.208e-29 absolute error 0.803283694681085253582164402e-7+/-0.313e-29 relative error 0.803283694681085253582164402e-5+/-0.313e-27% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1e1+/-0.1e-31 Order of pole (given) 0.2e1+/-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-30 y[1] (closed_form) 0.1234567901234567901234567901234566e1+/-0.143e-29 y[1] (numeric) 0.1234567734459981149321167749918097e1+/-0.274e-29 absolute error 0.166774586751913400151316469e-6+/-0.417e-29 relative error 0.1350874152690498541225663398900002e-4+/-0.337e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.9000000000000000000000000000000154e0+/-0.499e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.900000000000003861000000000016421e0+/-0.435e-27 Order of pole (three term test) 0.530400000000002256205906288328297e-13+/-0.813e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] -0.8e0+/-0.5e-30 y[1] (closed_form) 0.15625e1+/-0.203e-29 y[1] (numeric) 0.1562499624170607101578402091452959e1+/-0.341e-29 absolute error 0.375829392898421597908547041e-6+/-0.544e-29 relative error 0.24053081145498982266147010624e-4+/-0.348e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.8000000000000000000000000000000211e0+/-0.5e-29 Order of pole (given) 0.2e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8000000000000034320000000000146467e0+/-0.502e-27 Order of pole (three term test) 0.530400000000002260564359328487831e-13+/-0.106e-25 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / x / x / x ; Iterations 26 Total Elapsed Time 33 Seconds Elapsed Time(since restart) 33 Seconds Time to Timeout 19 Minutes 27 Seconds Percent Done 0.1038461538461538461538461538461538e3+/-0.161e-27%