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/lin_tanpostode.ode################# diff ( y , x , 1 ) = tan ( 2.0 * x + 3.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-1.0) x_end=c(-0.9) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.0001) # 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(-0.714601837) # 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 #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=false $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(ln(c(1.0) + expt(tan(c(2.0) * c(x) + c(3.0)),c(2)))/c(4.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.1e1+/-0.50e-32 y[1] (closed_form) 0.307813235193007131073518758204455335e0+/-0.113e-27 y[1] (numeric) 0.307813235193007131073518758204455335e0+/-0.113e-27 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.226e-27 relative error 0.0e0+/-0.734211444346413355245606234839270794e-25% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.99e0+/-0.100e-31 y[1] (closed_form) 0.323737172008851421836937529918207085e0+/-0.224e-27 y[1] (numeric) 0.32373717200885142183693006076546626e0+/-0.113e-27 absolute error 0.7469152740825e-23+/-0.337e-27 relative error 0.230716562280366835299618924700358491e-20+/-0.104e-24% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.98e0+/-0.150e-31 y[1] (closed_form) 0.340391706716216681084110819511057625e0+/-0.697e-27 y[1] (numeric) 0.340391706716216681084095014041003771e0+/-0.113e-27 absolute error 0.15805470053854e-22+/-0.810e-27 relative error 0.464331819547852923542415949926446355e-20+/-0.237e-24% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.97e0+/-0.200e-31 y[1] (closed_form) 0.357827207507749290429469596767254852e0+/-0.985e-27 y[1] (numeric) 0.357827207507749290429444450071278122e0+/-0.113e-27 absolute error 0.2514669597673e-22+/-0.109e-26 relative error 0.702760870305967725815070224272729432e-20+/-0.304e-24% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.96e0+/-0.250e-31 y[1] (closed_form) 0.37610013201035922981214881254253154e0+/-0.13e-26 y[1] (numeric) 0.376100132010359229812113153389201793e0+/-0.113e-27 absolute error 0.35659153329747e-22+/-0.141e-26 relative error 0.948129242580664957821626880553483954e-20+/-0.374e-24% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.95e0+/-0.300e-31 y[1] (closed_form) 0.395274038627115789161803806421099102e0+/-0.166e-26 y[1] (numeric) 0.39527403862711578916175626125900801e0+/-0.113e-27 absolute error 0.47545162091092e-22+/-0.177e-26 relative error 0.120284049658884941172358939925939299e-19+/-0.447e-24% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.94e0+/-0.350e-31 y[1] (closed_form) 0.415420817612528907327737469034859072e0+/-0.205e-26 y[1] (numeric) 0.415420817612528907327676416229069398e0+/-0.113e-27 absolute error 0.61052805789674e-22+/-0.216e-26 relative error 0.146966168283408324063884148105875545e-19+/-0.519e-24% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.93e0+/-0.400e-31 y[1] (closed_form) 0.436622201759786252188708384833654785e0+/-0.25e-26 y[1] (numeric) 0.436622201759786252188631895898359377e0+/-0.113e-27 absolute error 0.76488935295408e-22+/-0.261e-26 relative error 0.175183339251010983806046345323944877e-19+/-0.597e-24% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.92e0+/-0.450e-31 y[1] (closed_form) 0.458971636526402186531091340124408077e0+/-0.305e-26 y[1] (numeric) 0.458971636526402186530997103427246533e0+/-0.113e-27 absolute error 0.94236697161544e-22+/-0.316e-26 relative error 0.205321396055642898540016501555127392e-19+/-0.688e-24% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.91e0+/-0.500e-31 y[1] (closed_form) 0.482576617348449853402822648297049322e0+/-0.357e-26 y[1] (numeric) 0.482576617348449853402707868817706922e0+/-0.113e-27 absolute error 0.1147794793424e-21+/-0.368e-26 relative error 0.237847162950131483344849703375295073e-19+/-0.762e-24% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Finished! diff ( y , x , 1 ) = tan ( 2.0 * x + 3.0 ) ; Iterations 100 Total Elapsed Time 1 Minutes 23 Seconds Elapsed Time(since restart) 1 Minutes 21 Seconds Time to Timeout 1 Minutes 37 Seconds Percent Done 0.101e3+/-0.706e-28%