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/add_sub_sin_c_cos_c_tan_cpostode.ode################# diff ( y , x , 1 ) = sin ( 0.1 ) + cos ( 0.05 ) - tan ( 0.02 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-5.0) 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=true $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(sin(0.1)) + c(cos(0.05)) - c(tan(0.02))) *c( x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.5e1+/-0.50e-32 y[1] (closed_form) -0.5392905049741959874861393478458078e1+/-0.111e-31 y[1] (numeric) -0.5392905049741959874861393478458078e1+/-0.163e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.274e-31 relative error 0.0e0+/-0.508074956767707921248146479123066991e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 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] -0.499e1+/-0.100e-31 y[1] (closed_form) -0.53821192396424759551116706915011618e1+/-0.165e-31 y[1] (numeric) -0.5382119239642475955111670691501161e1+/-0.11e-30 absolute error 0.8e-33+/-0.126e-30 relative error 0.148640333738340307256307206858407297e-31+/-0.234e-29% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 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] -0.498e1+/-0.150e-31 y[1] (closed_form) -0.53713334295429920353619479045442457e1+/-0.219e-31 y[1] (numeric) -0.5371333429542992035361947904544244e1+/-0.162e-30 absolute error 0.17e-32+/-0.183e-30 relative error 0.316494967646169886158447298137517342e-31+/-0.34e-29% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 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] -0.497e1+/-0.200e-31 y[1] (closed_form) -0.53605476194435081156122251175873295e1+/-0.272e-31 y[1] (numeric) -0.5360547619443508115612225117587327e1+/-0.214e-30 absolute error 0.25e-32+/-0.241e-30 relative error 0.46637026242097468134367012212239211e-31+/-0.449e-29% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 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] -0.496e1+/-0.250e-31 y[1] (closed_form) -0.53497618093440241958625023306304134e1+/-0.326e-31 y[1] (numeric) -0.534976180934402419586250233063041e1+/-0.264e-30 absolute error 0.34e-32+/-0.296e-30 relative error 0.6355423140636798520439788486793695e-31+/-0.553e-29% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 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] -0.495e1+/-0.300e-31 y[1] (closed_form) -0.53389759992445402761127795436734972e1+/-0.38e-31 y[1] (numeric) -0.5338975999244540276112779543673493e1+/-0.314e-30 absolute error 0.42e-32+/-0.352e-30 relative error 0.786667705678822262494365262964267709e-31+/-0.659e-29% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 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] -0.494e1+/-0.350e-31 y[1] (closed_form) -0.53281901891450563563630567567165811e1+/-0.434e-31 y[1] (numeric) -0.5328190189145056356363056756716576e1+/-0.364e-30 absolute error 0.51e-32+/-0.407e-30 relative error 0.957173039804408522106721181006985642e-31+/-0.763e-29% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.1e-2+/-0.5e-33 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] -0.493e1+/-0.400e-31 y[1] (closed_form) -0.53174043790455724366133339697596649e1+/-0.488e-31 y[1] (numeric) -0.5317404379045572436613333969759659e1+/-0.414e-30 absolute error 0.59e-32+/-0.462e-30 relative error 0.110956391115377205525683074977646278e-30+/-0.868e-29% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.492e1+/-0.450e-31 y[1] (closed_form) -0.53066185689460885168636111828027488e1+/-0.541e-31 y[1] (numeric) -0.5306618568946088516863611182802742e1+/-0.464e-30 absolute error 0.68e-32+/-0.518e-30 relative error 0.128141864949424880737322564611775313e-30+/-0.976e-29% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.491e1+/-0.500e-31 y[1] (closed_form) -0.52958327588466045971138883958458326e1+/-0.595e-31 y[1] (numeric) -0.5295832758846604597113888395845825e1+/-0.52e-30 absolute error 0.76e-32+/-0.579e-30 relative error 0.143509063561426115386664829758101789e-30+/-0.109e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.49e1+/-0.550e-31 y[1] (closed_form) -0.52850469487471206773641656088889164e1+/-0.649e-31 y[1] (numeric) -0.5285046948747120677364165608888908e1+/-0.572e-30 absolute error 0.84e-32+/-0.636e-30 relative error 0.158938985433068171401922777619311231e-30+/-0.12e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.489e1+/-0.600e-31 y[1] (closed_form) -0.52742611386476367576144428219320003e1+/-0.703e-31 y[1] (numeric) -0.5274261138647636757614442821931991e1+/-0.63e-30 absolute error 0.93e-32+/-0.7e-30 relative error 0.176328015536686059275139277829194973e-30+/-0.132e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.488e1+/-0.650e-31 y[1] (closed_form) -0.52634753285481528378647200349750841e1+/-0.757e-31 y[1] (numeric) -0.5263475328548152837864720034975074e1+/-0.682e-30 absolute error 0.101e-31+/-0.757e-30 relative error 0.191888426743816935077116468198178006e-30+/-0.143e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.487e1+/-0.700e-31 y[1] (closed_form) -0.5252689518448668918114997248018168e1+/-0.811e-31 y[1] (numeric) -0.5252689518448668918114997248018157e1+/-0.74e-30 absolute error 0.11e-31+/-0.821e-30 relative error 0.209416527692440951368036513974794056e-30+/-0.156e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.486e1+/-0.750e-31 y[1] (closed_form) -0.52419037083491849983652744610612518e1+/-0.864e-31 y[1] (numeric) -0.524190370834918499836527446106124e1+/-0.792e-30 absolute error 0.118e-31+/-0.878e-30 relative error 0.225109056871938116560336444296212408e-30+/-0.167e-28% Desired digits 8 Estimated correct digits 13 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.485e1+/-0.800e-31 y[1] (closed_form) -0.52311178982497010786155516741043357e1+/-0.918e-31 y[1] (numeric) -0.5231117898249701078615551674104323e1+/-0.85e-30 absolute error 0.127e-31+/-0.941e-30 relative error 0.2427779347938103167977823871195321e-30+/-0.179e-28% Desired digits 8 Estimated correct digits 12 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.484e1+/-0.850e-31 y[1] (closed_form) -0.52203320881502171588658288871474195e1+/-0.972e-31 y[1] (numeric) -0.5220332088150217158865828887147406e1+/-0.9e-30 absolute error 0.135e-31+/-0.997e-30 relative error 0.258604237662275175576475593750428913e-30+/-0.19e-28% Desired digits 8 Estimated correct digits 12 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.483e1+/-0.900e-31 y[1] (closed_form) -0.52095462780507332391161061001905033e1+/-0.102e-30 y[1] (numeric) -0.5209546278050733239116106100190489e1+/-0.95e-30 absolute error 0.143e-31+/-0.105e-29 relative error 0.274496073875951068967088855067167948e-30+/-0.201e-28% Desired digits 8 Estimated correct digits 12 Correct digits 31 h 0.1e-2+/-0.5e-33 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] -0.482e1+/-0.950e-31 y[1] (closed_form) -0.51987604679512493193663833132335872e1+/-0.108e-30 y[1] (numeric) -0.5198760467951249319366383313233572e1+/-0.1e-29 absolute error 0.152e-31+/-0.11e-29 relative error 0.292377386757926235082375234071485388e-30+/-0.211e-28% Desired digits 8 Estimated correct digits 12 Correct digits 31 h 0.1e-2+/-0.5e-33 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 , 1 ) = sin ( 0.1 ) + cos ( 0.05 ) - tan ( 0.02 ) ; Iterations 186 Total Elapsed Time 3 Minutes 0 Seconds Elapsed Time(since restart) 2 Minutes 59 Seconds Expected Time Remaining 2 Hours 37 Minutes 25 Seconds Optimized Time Remaining 2 Hours 36 Minutes 33 Seconds Expected Total Time 2 Hours 39 Minutes 33 Seconds Time to Timeout 0 Seconds Percent Done 0.187e1+/-0.103e-29%