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/arcsin_sin_0d2_0d5postode.ode################# diff ( y , x , 1 ) = arcsin ( sin ( x ) ) ; ! #BEGIN FIRST INPUT BLOCK max_terms=30 # Digits:=32; ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.2) x_end=c(0.5) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_display_interval=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=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=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(x)*c(x)/c(2.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.50e-33 y[1] (closed_form) 0.2e-1+/-0.105e-33 y[1] (numeric) 0.2e-1+/-0.125e-33 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.230e-33 relative error 0.0e0+/-0.115000000000000000000000000000001207e-29% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.550e-32 y[1] (closed_form) 0.2205e-1+/-0.116e-32 y[1] (numeric) 0.220499996539149521727842202332519429e-1+/-0.143e-32 absolute error 0.3460850478272157797667480571e-9+/-0.259e-32 relative error 0.156954670216424389916892542902494331e-5+/-0.117e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.105e-31 y[1] (closed_form) 0.242e-1+/-0.231e-32 y[1] (numeric) 0.241999992904094579485305874469605953e-1+/-0.26e-32 absolute error 0.7095905420514694125530394047e-9+/-0.491e-32 relative error 0.293219232252673310972330332520661157e-5+/-0.202e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.155e-31 y[1] (closed_form) 0.2645e-1+/-0.357e-32 y[1] (numeric) 0.264499989094074457502962874436132439e-1+/-0.38e-32 absolute error 0.10905925542497037125563867561e-8+/-0.737e-32 relative error 0.412322326748470212686724671493383742e-5+/-0.278e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.205e-31 y[1] (closed_form) 0.288e-1+/-0.492e-32 y[1] (numeric) 0.287999985108288216355055140432863283e-1+/-0.504e-32 absolute error 0.14891711783644944859567136717e-8+/-0.996e-32 relative error 0.517073325821005029846081136006944444e-5+/-0.345e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.255e-31 y[1] (closed_form) 0.3125e-1+/-0.635e-32 y[1] (numeric) 0.312499980945894001896455741016202279e-1+/-0.637e-32 absolute error 0.19054105998103544258983797721e-8+/-0.127e-31 relative error 0.609731391939313416287481527072e-5+/-0.406e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.305e-31 y[1] (closed_form) 0.338e-1+/-0.79e-32 y[1] (numeric) 0.337999976606008313916493835285409742e-1+/-0.77e-32 absolute error 0.23393991686083506164714590258e-8+/-0.156e-31 relative error 0.692129931540932135050727522426035502e-5+/-0.461e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.355e-31 y[1] (closed_form) 0.3645e-1+/-0.955e-32 y[1] (numeric) 0.364499972087705233123040155619481755e-1+/-0.914e-32 absolute error 0.27912294766876959844380518245e-8+/-0.186e-31 relative error 0.76576940375519780094322409451303155e-5+/-0.51e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.405e-31 y[1] (closed_form) 0.392e-1+/-0.113e-31 y[1] (numeric) 0.391999967390015604977709330848228674e-1+/-0.104e-31 absolute error 0.32609984395022290669151771326e-8+/-0.217e-31 relative error 0.831887357015874761968157431785714285e-5+/-0.553e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.455e-31 y[1] (closed_form) 0.4205e-1+/-0.131e-31 y[1] (numeric) 0.42049996251192617880550732756644571e-1+/-0.114e-31 absolute error 0.3748807382119449267243355429e-8+/-0.245e-31 relative error 0.891511862572996258559656463495838287e-5+/-0.582e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.505e-31 y[1] (closed_form) 0.45e-1+/-0.151e-31 y[1] (numeric) 0.449999957452378700499347443061864697e-1+/-0.124e-31 absolute error 0.42547621299500652556938135303e-8+/-0.275e-31 relative error 0.945502695544458945709736340066666666e-5+/-0.611e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.31e0+/-0.555e-31 y[1] (closed_form) 0.4805e-1+/-0.172e-31 y[1] (numeric) 0.480499952210268957031158856986328661e-1+/-0.134e-31 absolute error 0.47789731042968841143013671339e-8+/-0.306e-31 relative error 0.994583372382285975921200235983350676e-5+/-0.636e-28% Desired digits 8 Estimated correct digits 13 Correct digits 6 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.32e0+/-0.605e-31 y[1] (closed_form) 0.512e-1+/-0.193e-31 y[1] (numeric) 0.511999946784445770866368610138692768e-1+/-0.144e-31 absolute error 0.53215554229133631389861307232e-8+/-0.337e-31 relative error 0.1039366293537766238083228656875e-4+/-0.658e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.33e0+/-0.655e-31 y[1] (closed_form) 0.5445e-1+/-0.216e-31 y[1] (numeric) 0.544499941173709942256867666190258343e-1+/-0.154e-31 absolute error 0.58826290057743132333809741657e-8+/-0.370e-31 relative error 0.108037263650584265075867294135904499e-4+/-0.679e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.34e0+/-0.705e-31 y[1] (closed_form) 0.578e-1+/-0.239e-31 y[1] (numeric) 0.577999935376813137258653682337632066e-1+/-0.164e-31 absolute error 0.64623186862741346317662367934e-8+/-0.403e-31 relative error 0.111804821561836239303914131373702422e-4+/-0.697e-28% Desired digits 8 Estimated correct digits 13 Correct digits 5 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = arcsin ( sin ( x ) ) ; Iterations 145 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 3 Minutes 10 Seconds Optimized Time Remaining 3 Minutes 10 Seconds Expected Total Time 6 Minutes 11 Seconds Time to Timeout 0.0 Seconds Percent Done 0.486666666666666666666666666666666666e2+/-0.248e-28%