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/h3sinpostode.ode################# diff ( y , x , 3 ) = sin ( x ) ; ! #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(1.5) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $array_y_init[0 + 1] = exact_soln_y(x_start) $array_y_init[1 + 1] = exact_soln_yp(x_start) $array_y_init[2 + 1] = exact_soln_ypp(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=3 #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) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0) + cos(c(x))) end def exact_soln_yp (x) x = c(x) return($glob__m1 * sin(c(x))) end def exact_soln_ypp (x) x = c(x) return($glob__m1 * cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.1995004165278025766095561987803869e1+/-0.606e-31 y[1] (numeric) 0.1995004165278025766095561987803869e1+/-0.16e-30 absolute error 0.0e0+/-0.2206e-30 relative error 0.0e0+/-0.110576210235258814328038380553607637112e-28% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.2e0+/-0.5e-31 y[1] (closed_form) 0.1980066577841241631124196516748168e1+/-0.682e-31 y[1] (numeric) 0.198006657784124163112422662086061e1+/-0.784e-30 absolute error 0.30104112442e-22+/-0.852e-30 relative error 0.152035859697308099857324667912565e-20+/-0.43e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.3e0+/-0.5e-31 y[1] (closed_form) 0.1955336489125606019642310227568049e1+/-0.778e-31 y[1] (numeric) 0.1955336489125606019643739078488136e1+/-0.166e-29 absolute error 0.1428850920087e-20+/-0.173e-29 relative error 0.7307442621939502515208067544422429e-19+/-0.884e-28% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.4e0+/-0.5e-31 y[1] (closed_form) 0.19210609940028850827985267320518e1+/-0.89e-31 y[1] (numeric) 0.1921060994002885082803616772946354e1+/-0.248e-29 absolute error 0.5090040894554e-20+/-0.256e-29 relative error 0.2649598794855524346820382719822199e-18+/-0.133e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.5e0+/-0.5e-31 y[1] (closed_form) 0.1877582561890372716116281582603829e1+/-0.102e-30 y[1] (numeric) 0.1877582561890372716128172607577815e1+/-0.381e-29 absolute error 0.11891024973986e-19+/-0.391e-29 relative error 0.6333156908963818332660414402499272e-18+/-0.208e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.6e0+/-0.5e-31 y[1] (closed_form) 0.1825335614909678297240952498955375e1+/-0.118e-30 y[1] (numeric) 0.182533561490967829726363643731787e1+/-0.532e-29 absolute error 0.22683938362495e-19+/-0.543e-29 relative error 0.1242726990982283122706805499149021e-17+/-0.297e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.7e0+/-0.5e-31 y[1] (closed_form) 0.1764842187284488426255859990191864e1+/-0.137e-30 y[1] (numeric) 0.176484218728448842629414717646874e1+/-0.766e-29 absolute error 0.38287186276876e-19+/-0.779e-29 relative error 0.2169439656006148909225817617756865e-17+/-0.441e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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] 0.8e0+/-0.5e-31 y[1] (closed_form) 0.1696706709347165420920749981642324e1+/-0.158e-30 y[1] (numeric) 0.1696706709347165420980227248354535e1+/-0.102e-28 absolute error 0.59477266712211e-19+/-0.103e-28 relative error 0.3505453616971657603993047572925514e-17+/-0.607e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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-31 y[1] (closed_form) 0.1621609968270664456484716151407133e1+/-0.182e-30 y[1] (numeric) 0.1621609968270664456571697163337713e1+/-0.131e-28 absolute error 0.8698101193058e-19+/-0.132e-28 relative error 0.5363867615055380374496479904492565e-17+/-0.814e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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-31 y[1] (closed_form) 0.1540302305868139717400936607442976e1+/-0.211e-30 y[1] (numeric) 0.1540302305868139717522404933636331e1+/-0.167e-28 absolute error 0.121468326193355e-18+/-0.169e-28 relative error 0.7886005606210753103821392401319035e-17+/-0.109e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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-31 y[1] (closed_form) 0.1453596121425577387771370051784716e1+/-0.244e-30 y[1] (numeric) 0.1453596121425577387934915544083979e1+/-0.213e-28 absolute error 0.163545492299263e-18+/-0.215e-28 relative error 0.1125109580912130683650107588143455e-16+/-0.147e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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-31 y[1] (closed_form) 0.1362357754476673577638373355623075e1+/-0.282e-30 y[1] (numeric) 0.1362357754476673577852122469430147e1+/-0.267e-28 absolute error 0.213749113807072e-18+/-0.269e-28 relative error 0.1568964635791867055992844067232461e-16+/-0.197e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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-31 y[1] (closed_form) 0.1267498828624587406997984109292871e1+/-0.324e-30 y[1] (numeric) 0.1267498828624587407270524862763075e1+/-0.331e-28 absolute error 0.272540753470204e-18+/-0.334e-28 relative error 0.2150224894219023774006381384444557e-16+/-0.263e-26% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 NO POLE (given) for Equation 1 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 , 3 ) = sin ( x ) ; Iterations 25 Total Elapsed Time 21 Minutes 26 Seconds Elapsed Time(since restart) 21 Minutes 24 Seconds Expected Time Remaining 1 Minutes 38 Seconds Optimized Time Remaining 1 Minutes 38 Seconds Expected Total Time 23 Minutes 4 Seconds Time to Timeout 0.0 Seconds Percent Done 0.9285714285714285714285714285714285e2+/-0.184e-28%