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_sin_cospostode.ode################# diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(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_y (x) x = c(x) return(c(-0.5)*cos(c(2.0)*c(x) + c(3.0)) + c(2.0)/c(3.0)*sin(c(1.5)*c(x)-c(2.0))) 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) -0.14170274741949007767747575128229454e0+/-0.316e-31 y[1] (numeric) -0.14170274741949007767747575128229454e0+/-0.316e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.632e-31 relative error 0.0e0+/-0.446004055326504885516547346654765973e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-32 y[1] (closed_form) -0.14506998092304834169597241580392887e0+/-0.934e-31 y[1] (numeric) -0.14506998092304834169597256161723746e0+/-0.33e-31 absolute error 0.14581330859e-24+/-0.126e-30 relative error 0.100512392475839610685005348215235175e-21+/-0.868e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.105e-31 y[1] (closed_form) -0.14849180092505574930206495712746658e0+/-0.156e-30 y[1] (numeric) -0.1484918009250557493020652566184379e0+/-0.35e-31 absolute error 0.29949097132e-24+/-0.191e-30 relative error 0.201688557519181801947586673823560104e-21+/-0.128e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.155e-31 y[1] (closed_form) -0.15196728302967060681000425470326505e0+/-0.224e-30 y[1] (numeric) -0.15196728302967060681000471569149258e0+/-0.37e-31 absolute error 0.46098822753e-24+/-0.261e-30 relative error 0.303347022029731950806609633906251716e-21+/-0.171e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.205e-31 y[1] (closed_form) -0.155495455939612917227261080673221e0+/-0.296e-30 y[1] (numeric) -0.15549545593961291722726171092945602e0+/-0.394e-31 absolute error 0.63025623502e-24+/-0.335e-30 relative error 0.405321320299393006818638282788404268e-21+/-0.215e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.255e-31 y[1] (closed_form) -0.15907530175043103369378437754138285e0+/-0.371e-30 y[1] (numeric) -0.15907530175043103369378518478346898e0+/-0.424e-31 absolute error 0.80724208613e-24+/-0.413e-30 relative error 0.507459094684893583940496873080178321e-21+/-0.259e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.305e-31 y[1] (closed_form) -0.1627057562691550516621672739383741e0+/-0.447e-30 y[1] (numeric) -0.16270575626915505166216826582720009e0+/-0.454e-31 absolute error 0.99188882599e-24+/-0.492e-30 relative error 0.609621225907443418575359559496058777e-21+/-0.302e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.355e-31 y[1] (closed_form) -0.16638570935722939367090435220730793e0+/-0.525e-30 y[1] (numeric) -0.16638570935722939367090553634277904e0+/-0.486e-31 absolute error 0.118413547111e-23+/-0.573e-30 relative error 0.711680994530405431855911801418807244e-21+/-0.344e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.405e-31 y[1] (closed_form) -0.17011400529760603224336913025888259e0+/-0.6e-30 y[1] (numeric) -0.17011400529760603224337051417591451e0+/-0.526e-31 absolute error 0.138391703192e-23+/-0.652e-30 relative error 0.813523277815313119879604157152273389e-21+/-0.383e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.455e-31 y[1] (closed_form) -0.17388944318586883135772225224931093e0+/-0.69e-30 y[1] (numeric) -0.17388944318586883135772384341384682e0+/-0.566e-31 absolute error 0.159116453589e-23+/-0.746e-30 relative error 0.915043781116268695867682663918488512e-21+/-0.429e-27% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.505e-31 y[1] (closed_form) -0.17771077734524856975632149588240347e0+/-0.76e-30 y[1] (numeric) -0.17771077734524856975632330168745543e0+/-0.606e-31 absolute error 0.180580505196e-23+/-0.82e-30 relative error 0.101614830509224688723628473607558004e-20+/-0.461e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.555e-31 y[1] (closed_form) -0.18157671776537734475770015310276326e0+/-0.855e-30 y[1] (numeric) -0.18157671776537734475770218086448155e0+/-0.653e-31 absolute error 0.202776171829e-23+/-0.92e-30 relative error 0.111675205017757470018785474687952599e-20+/-0.506e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.605e-31 y[1] (closed_form) -0.18548593056462024783994899120324772e0+/-0.955e-30 y[1] (numeric) -0.18548593056462024783995124815701855e0+/-0.703e-31 absolute error 0.225695377083e-23+/-0.102e-29 relative error 0.121677895674341425183623831883599969e-20+/-0.549e-27% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.655e-31 y[1] (closed_form) -0.18943703847581145769937758801889096e0+/-0.104e-29 y[1] (numeric) -0.18943703847581145769938008131546421e0+/-0.753e-31 absolute error 0.249329657325e-23+/-0.111e-29 relative error 0.131616108091151360550888818835555226e-20+/-0.585e-27% Desired digits 8 Estimated correct digits 12 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.705e-31 y[1] (closed_form) -0.19342862135521121734658890922081694e0+/-0.114e-29 y[1] (numeric) -0.19342862135521121734659164592246703e0+/-0.803e-31 absolute error 0.273670165009e-23+/-0.122e-29 relative error 0.141483800634877952946078820223283967e-20+/-0.63e-27% Desired digits 8 Estimated correct digits 12 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.755e-31 y[1] (closed_form) -0.19745921671448955365156484039438026e0+/-0.125e-29 y[1] (numeric) -0.1974592167144895536515678274710999e0+/-0.861e-31 absolute error 0.298707671964e-23+/-0.133e-29 relative error 0.151275628929445072889588705315694029e-20+/-0.673e-27% Desired digits 8 Estimated correct digits 12 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.805e-31 y[1] (closed_form) -0.20152732027553206513016717576008331e0+/-0.135e-29 y[1] (numeric) -0.20152732027553206513017042008581449e0+/-0.935e-31 absolute error 0.324432573118e-23+/-0.144e-29 relative error 0.16098689382383960986444178765349722e-20+/-0.714e-27% Desired digits 8 Estimated correct digits 12 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.855e-31 y[1] (closed_form) -0.20563138654785265118701154256296476e0+/-0.146e-29 y[1] (numeric) -0.20563138654785265118701505091186609e0+/-0.1e-30 absolute error 0.350834890133e-23+/-0.156e-29 relative error 0.170613492435580557925588519906074207e-20+/-0.758e-27% Desired digits 8 Estimated correct digits 12 Correct digits 21 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ; Iterations 172 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 1 Hours 22 Minutes 25 Seconds Optimized Time Remaining 1 Hours 22 Minutes 25 Seconds Expected Total Time 1 Hours 25 Minutes 26 Seconds Time to Timeout 0.0 Seconds Percent Done 0.353061224489795918367346938775510204e1+/-0.178e-29%