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/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=(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(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-33 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) 0.0e0+/-0.5000000000000000000000000000000005e-33 absolute error 0.0e0+/-0.50e-33 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits -16 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.160000000000000000000000000000000931e1+/-0.553e-30 Order of pole (given) 0.5e0+/-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] 0.11e0+/-0.550e-32 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.44601613960418243968667504885966992e-1+/-0.124e-30 absolute error 0.44601613960418243968667504885966992e-1+/-0.124e-30 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.161000000000000000000000000000000821e1+/-0.104e-29 Order of pole (given) 0.5e0+/-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] 0.12e0+/-0.105e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.88066884075519907980801460935512854e-1+/-0.395e-30 absolute error 0.88066884075519907980801460935512854e-1+/-0.395e-30 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.16200000000000000000000000000000091e1+/-0.154e-29 Order of pole (given) 0.5e0+/-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] 0.13e0+/-0.155e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.13045284233220728109182147157252144e0+/-0.808e-30 absolute error 0.13045284233220728109182147157252144e0+/-0.808e-30 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.163000000000000000000000000000000836e1+/-0.203e-29 Order of pole (given) 0.5e0+/-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] 0.14e0+/-0.205e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.17181225586825382034833326199507659e0+/-0.13e-29 absolute error 0.17181225586825382034833326199507659e0+/-0.13e-29 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.164000000000000000000000000000000833e1+/-0.254e-29 Order of pole (given) 0.5e0+/-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] 0.15e0+/-0.255e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.21219404226654027677010155490031287e0+/-0.191e-29 absolute error 0.21219404226654027677010155490031287e0+/-0.191e-29 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.165000000000000000000000000000000826e1+/-0.301e-29 Order of pole (given) 0.5e0+/-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] 0.16e0+/-0.305e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.25164363549036244560739106716819839e0+/-0.262e-29 absolute error 0.25164363549036244560739106716819839e0+/-0.262e-29 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.166000000000000000000000000000000888e1+/-0.351e-29 Order of pole (given) 0.5e0+/-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] 0.17e0+/-0.355e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.29020330933658473378989496934354299e0+/-0.343e-29 absolute error 0.29020330933658473378989496934354299e0+/-0.343e-29 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.167000000000000000000000000000000776e1+/-0.404e-29 Order of pole (given) 0.5e0+/-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] 0.18e0+/-0.405e-31 y[1] (closed_form) 0.0e0+/-0.50e-33 y[1] (numeric) -0.32791246419096267736376791567669025e0+/-0.433e-29 absolute error 0.32791246419096267736376791567669025e0+/-0.433e-29 relative error -0.1e1+/-0.50e-33% Desired digits 8 Estimated correct digits 13 Correct digits -16 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.168000000000000000000000000000000869e1+/-0.451e-29 Order of pole (given) 0.5e0+/-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 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; Iterations 83 Total Elapsed Time 3 Minutes 3 Seconds Elapsed Time(since restart) 3 Minutes 3 Seconds Expected Time Remaining 2 Hours 54 Minutes 51 Seconds Optimized Time Remaining 2 Hours 54 Minutes 51 Seconds Expected Total Time 2 Hours 57 Minutes 54 Seconds Time to Timeout 0.0 Seconds Percent Done 0.171428571428571428571428571428571428e1+/-0.877e-30%