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/sin_lg_hpostode.ode################# diff ( y , x , 1 ) = sin ( x ) ; ! #BEGIN FIRST INPUT BLOCK # ELIMINATED in preodein.rb # Digits:=16; ELIMINATED in preodein.rb max_terms=40 # ELIMINATED in preodein.rb ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb x_start=c(0.0) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=false $glob_max_h=c(1.0) $glob_min_h=c(1.0) $glob_display_interval=c(1.0) # 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 # ELIMINATED in preodein.rb $glob_type_given_pole=3 # ELIMINATED in preodein.rb #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(2.0) - cos(c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50e-33 y[1] (closed_form) 0.1e1+/-0.55e-33 y[1] (numeric) 0.1e1+/-0.155e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.210e-32 relative error 0.0e0+/-0.210000000000000000000000000000000231e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1e-1+/-0.50e-32 y[1] (closed_form) 0.100004999958333472221974206624779333e1+/-0.599e-33 y[1] (numeric) 0.100004999958333472221974206699778766e1+/-0.13e-31 absolute error 0.74999433e-27+/-0.135e-31 relative error 0.749956832470857429053219512635396818e-25+/-0.134e-29% Desired digits 8 Estimated correct digits 13 Correct digits 26 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e-1+/-0.100e-31 y[1] (closed_form) 0.100019999333342222158730440916252474e1+/-0.749e-33 y[1] (numeric) 0.100019999333342222158730441232909104e1+/-0.22e-31 absolute error 0.31665663e-26+/-0.227e-31 relative error 0.316593313447904367352374005807900557e-24+/-0.226e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e-1+/-0.150e-31 y[1] (closed_form) 0.100044996625101248372784129353338617e1+/-0.996e-33 y[1] (numeric) 0.100044996625101248372784130078286041e1+/-0.295e-31 absolute error 0.724947424e-26+/-0.304e-31 relative error 0.724621368839259864041405943959844618e-24+/-0.303e-29% Desired digits 8 Estimated correct digits 13 Correct digits 25 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.4e-1+/-0.200e-31 y[1] (closed_form) 0.100079989333902205968542924187086534e1+/-0.134e-32 y[1] (numeric) 0.100079989333902205968542925486917523e1+/-0.355e-31 absolute error 0.1299830989e-25+/-0.368e-31 relative error 0.129879209385535059128749098910595167e-23+/-0.367e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.5e-1+/-0.250e-31 y[1] (closed_form) 0.100124973960503375343712918884347891e1+/-0.179e-32 y[1] (numeric) 0.100124973960503375343712920925597726e1+/-0.42e-31 absolute error 0.2041249835e-25+/-0.437e-31 relative error 0.20387019883822576295616333951407076e-23+/-0.436e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.6e-1+/-0.300e-31 y[1] (closed_form) 0.100179946006479583445233831281716092e1+/-0.234e-32 y[1] (numeric) 0.100179946006479583445233834230845914e1+/-0.49e-31 absolute error 0.2949129822e-25+/-0.513e-31 relative error 0.294383251295548903154242571781458865e-23+/-0.512e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.7e-1+/-0.350e-31 y[1] (closed_form) 0.100244899974672042537909161006026166e1+/-0.299e-32 y[1] (numeric) 0.100244899974672042537909165029406328e1+/-0.55e-31 absolute error 0.4023380162e-25+/-0.579e-31 relative error 0.401355097667467420695865115790969044e-23+/-0.577e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.8e-1+/-0.400e-31 y[1] (closed_form) 0.100319829369738061502229322536648862e1+/-0.374e-32 y[1] (numeric) 0.100319829369738061502229327800542293e1+/-0.61e-31 absolute error 0.5263893431e-25+/-0.647e-31 relative error 0.524711162695406028417569468516995337e-23+/-0.644e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.9e-1+/-0.450e-31 y[1] (closed_form) 0.100404726698800574690716062817485572e1+/-0.459e-32 y[1] (numeric) 0.10040472669880057469071606948803115e1+/-0.68e-31 absolute error 0.6670545578e-25+/-0.725e-31 relative error 0.664365692464923138186903481004732555e-23+/-0.722e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.500e-31 y[1] (closed_form) 0.100499583472197423390443801219612971e1+/-0.554e-32 y[1] (numeric) 0.100499583472197423390443809462808912e1+/-0.76e-31 absolute error 0.8243195941e-25+/-0.815e-31 relative error 0.820221901047025555490941430012262346e-23+/-0.81e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-31 y[1] (closed_form) 0.100604390204330314964216038858015194e1+/-0.656e-32 y[1] (numeric) 0.10060439020433031496421604883970245e1+/-0.88e-31 absolute error 0.9981687256e-25+/-0.945e-31 relative error 0.992172134409533771611571568073126892e-23+/-0.939e-29% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.600e-31 y[1] (closed_form) 0.100719136414613374775190183214236614e1+/-0.771e-32 y[1] (numeric) 0.100719136414613374775190195100082289e1+/-0.1e-30 absolute error 0.11885845675e-24+/-0.107e-30 relative error 0.118009805267507024499057432714176406e-22+/-0.106e-28% 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+/-0.650e-31 y[1] (closed_form) 0.10084381062852119604054878288481854e1+/-0.897e-32 y[1] (numeric) 0.100843810628521196040548796840299324e1+/-0.1e-30 absolute error 0.13955480784e-24+/-0.108e-30 relative error 0.138387082925771895398748235525525648e-22+/-0.107e-28% 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+/-0.700e-31 y[1] (closed_form) 0.100978400378736282810105177298859972e1+/-0.103e-31 y[1] (numeric) 0.100978400378736282810105193489245592e1+/-0.1e-30 absolute error 0.1619038562e-24+/-0.11e-30 relative error 0.160335136616100733960605658305794684e-22+/-0.108e-28% 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+/-0.750e-31 y[1] (closed_form) 0.101122892206395771326501900134566104e1+/-0.117e-31 y[1] (numeric) 0.101122892206395771326501918724902797e1+/-0.1e-30 absolute error 0.18590336693e-24+/-0.111e-30 relative error 0.183839052536752973320260305281164958e-22+/-0.109e-28% 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+/-0.800e-31 y[1] (closed_form) 0.101277271662437305095904747598166231e1+/-0.132e-31 y[1] (numeric) 0.101277271662437305095904768753260243e1+/-0.1e-30 absolute error 0.21155094012e-24+/-0.113e-30 relative error 0.208882937550994534284035114213948601e-22+/-0.111e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.850e-31 y[1] (closed_form) 0.101441523309043929082807000978749688e1+/-0.149e-31 y[1] (numeric) 0.101441523309043929082807024863150792e1+/-0.1e-30 absolute error 0.23884401104e-24+/-0.114e-30 relative error 0.235449945198827740721348248791132147e-22+/-0.112e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.900e-31 y[1] (closed_form) 0.101615630721187858540728397538846725e1+/-0.166e-31 y[1] (numeric) 0.101615630721187858540728424316831763e1+/-0.1e-30 absolute error 0.26777985038e-24+/-0.116e-30 relative error 0.263522303094031051659031003407196348e-22+/-0.114e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.950e-31 y[1] (closed_form) 0.101799576488272968103212249581008622e1+/-0.186e-31 y[1] (numeric) 0.101799576488272968103212279416565082e1+/-0.1e-30 absolute error 0.2983555646e-24+/-0.118e-30 relative error 0.293081341683547909870492591167166298e-22+/-0.115e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.1e-30 y[1] (closed_form) 0.101993342215875836887580348325183113e1+/-0.205e-31 y[1] (numeric) 0.101993342215875836887580381381992729e1+/-0.1e-30 absolute error 0.33056809616e-24+/-0.12e-30 relative error 0.324107524058119568259581655003375739e-22+/-0.117e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.1e-30 y[1] (closed_form) 0.102196908527585175508386143190065369e1+/-0.215e-31 y[1] (numeric) 0.102196908527585175508386179631487754e1+/-0.1e-30 absolute error 0.36441422385e-24+/-0.121e-30 relative error 0.356580476944306636835567905252626465e-22+/-0.118e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.1e-30 y[1] (closed_form) 0.102410255066939451059397701895530364e1+/-0.225e-31 y[1] (numeric) 0.102410255066939451059397741884586668e1+/-0.1e-30 absolute error 0.39989056304e-24+/-0.122e-30 relative error 0.390479022612154891872227141994069993e-22+/-0.119e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.1e-30 y[1] (closed_form) 0.102633360499462516303226935192840171e1+/-0.236e-31 y[1] (numeric) 0.102633360499462516303226978892196785e1+/-0.1e-30 absolute error 0.43699356614e-24+/-0.123e-30 relative error 0.425781211891905755729241440248237026e-22+/-0.119e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.1e-30 y[1] (closed_form) 0.102866202514797039507382475303662097e1+/-0.246e-31 y[1] (numeric) 0.102866202514797039507382522875614387e1+/-0.1e-30 absolute error 0.4757195229e-24+/-0.124e-30 relative error 0.462464357845395300037496952914279349e-22+/-0.12e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.1e-30 y[1] (closed_form) 0.10310875782893552158554045505058108e1+/-0.256e-31 y[1] (numeric) 0.103108757828935521585540506657037154e1+/-0.1e-30 absolute error 0.51606456074e-24+/-0.125e-30 relative error 0.500505070186362236806523480697313773e-22+/-0.121e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.1e-30 y[1] (closed_form) 0.103361002186548677444178235354993509e1+/-0.266e-31 y[1] (numeric) 0.103361002186548677444178291157458027e1+/-0.1e-30 absolute error 0.55802464518e-24+/-0.126e-30 relative error 0.539879290424121782332167040077260528e-22+/-0.121e-28% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.1e-30 y[1] (closed_form) 0.103622910363410948698376729050779696e1+/-0.277e-31 y[1] (numeric) 0.103622910363410948698376789210337721e1+/-0.1e-30 absolute error 0.60159558025e-24+/-0.127e-30 relative error 0.580562327520210480262932211655129745e-22+/-0.122e-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 ( y , x , 1 ) = sin ( x ) ; Iterations 271 Total Elapsed Time 3 Minutes 2 Seconds Elapsed Time(since restart) 3 Minutes 2 Seconds Expected Time Remaining 52 Minutes 43 Seconds Optimized Time Remaining 52 Minutes 43 Seconds Expected Total Time 55 Minutes 45 Seconds Time to Timeout 0.0 Seconds Percent Done 0.544e1+/-0.2e-29%