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/mtest1postode.ode################# diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; ! #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(10.0) $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(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=(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_y1 (x) x = c(x) return(c(1.0) + cos(c(x))) end def exact_soln_y2 (x) x = c(x) return(c(1.0) + sin(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-33 y1[1] (closed_form) 0.199500416527802576609556198780387028e1+/-0.606e-33 y1[1] (numeric) 0.199500416527802576609556198780387028e1+/-0.259e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.3196e-32 relative error 0.0e0+/-0.16020016677782736654234390945118725466319e-30% Desired digits 8 Estimated correct digits 13 Correct digits 34 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.109983341664682815230681419841062202e1+/-0.106e-32 y2[1] (numeric) 0.109983341664682815230681419841062202e1+/-0.214e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.320e-32 relative error 0.0e0+/-0.290953152683445389917053237752706198e-30% Desired digits 8 Estimated correct digits 13 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y1[1] (closed_form) 0.199395609795669685035783961141984805e1+/-0.116e-32 y1[1] (numeric) 0.199395609795669685035783959324771452e1+/-0.214e-31 absolute error 0.1817213353e-25+/-0.225e-31 relative error 0.911360764092141406588519398517211463e-24+/-0.112e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.11097783008371748086649494900834547e1+/-0.603e-32 y2[1] (numeric) 0.110977830083717480866494965575647689e1+/-0.197e-31 absolute error 0.16567302219e-24+/-0.257e-31 relative error 0.149284791444401582988193422180622374e-22+/-0.231e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y1[1] (closed_form) 0.199280863585386625224809816785763385e1+/-0.180e-32 y1[1] (numeric) 0.199280863585386625224809812820177876e1+/-0.385e-31 absolute error 0.3965585509e-25+/-0.403e-31 relative error 0.198994797475917730586493982377183211e-23+/-0.202e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.11197122072889193599673506142709697e1+/-0.109e-31 y2[1] (numeric) 0.111971220728891935996735094523701033e1+/-0.372e-31 absolute error 0.33096604063e-24+/-0.481e-31 relative error 0.295581345345287306387784304811817995e-22+/-0.429e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y1[1] (closed_form) 0.199156189371478803959451217115181459e1+/-0.256e-32 y1[1] (numeric) 0.199156189371478803959451210670659825e1+/-0.51e-31 absolute error 0.6444521634e-25+/-0.535e-31 relative error 0.323591330720797632315563500937396704e-23+/-0.268e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.112963414261969485954120581070831148e1+/-0.158e-31 y2[1] (numeric) 0.112963414261969485954120630653772226e1+/-0.552e-31 absolute error 0.49582941078e-24+/-0.710e-31 relative error 0.438929200236582288879559500949727674e-22+/-0.628e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y1[1] (closed_form) 0.199021599621263717189894822701140027e1+/-0.341e-32 y1[1] (numeric) 0.199021599621263717189894813447779284e1+/-0.61e-31 absolute error 0.9253360743e-25+/-0.644e-31 relative error 0.464942536921070919708144663166255026e-23+/-0.323e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.113954311464423648171798835170537161e1+/-0.207e-31 y2[1] (numeric) 0.113954311464423648171798901191894241e1+/-0.692e-31 absolute error 0.6602135708e-24+/-0.899e-31 relative error 0.579366907943731123807660535361560858e-22+/-0.788e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y1[1] (closed_form) 0.198877107793604228673498099865433895e1+/-0.438e-32 y1[1] (numeric) 0.198877107793604228673498087474058086e1+/-0.71e-31 absolute error 0.12391375809e-24+/-0.753e-31 relative error 0.623066975705410946737968015417526354e-23+/-0.378e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.11494381324735992214977254386876418e1+/-0.257e-31 y2[1] (numeric) 0.114943813247359922149772626275669147e1+/-0.852e-31 absolute error 0.82406904967e-24+/-0.11e-30 relative error 0.716932061316425453243777844418355977e-22+/-0.956e-29% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y1[1] (closed_form) 0.198722728337562694904095252401833768e1+/-0.544e-32 y1[1] (numeric) 0.198722728337562694904095236544059894e1+/-0.81e-31 absolute error 0.15857773874e-24+/-0.864e-31 relative error 0.797984911271095588314003213103606687e-23+/-0.434e-29% Desired digits 8 Estimated correct digits 12 Correct digits 24 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.115931820661424596331146315968598962e1+/-0.306e-31 y2[1] (numeric) 0.115931820661424596331146414703246518e1+/-0.957e-31 absolute error 0.98734647556e-24+/-0.126e-30 relative error 0.851661321220440207019260114738396804e-22+/-0.108e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y1[1] (closed_form) 0.198558476690956070917192999021250311e1+/-0.657e-32 y1[1] (numeric) 0.198558476690956070917192979369554129e1+/-0.91e-31 absolute error 0.19651696182e-24+/-0.975e-31 relative error 0.989718319232809375652792104107313206e-23+/-0.491e-29% Desired digits 8 Estimated correct digits 12 Correct digits 24 h 0.1e-2+/-0.5e-33 y2[1] (closed_form) 0.116918234906699601015762437667085151e1+/-0.354e-31 y2[1] (numeric) 0.116918234906699601015762552666743549e1+/-0.1e-30 absolute error 0.114999658398e-23+/-0.135e-30 relative error 0.983590442412762908319592055081454797e-22+/-0.115e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ; diff ( y2 , x , 1 ) = y1 - 1.0 ; Iterations 72 Total Elapsed Time 3 Minutes 4 Seconds Elapsed Time(since restart) 3 Minutes 4 Seconds Expected Time Remaining 6 Hours 52 Minutes 49 Seconds Optimized Time Remaining 6 Hours 52 Minutes 49 Seconds Expected Total Time 6 Hours 55 Minutes 53 Seconds Time to Timeout 0.0 Seconds Percent Done 0.737373737373737373737373737373737373e0+/-0.379e-30%