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_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + 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(-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=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) - c(cos(x)) + 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) -0.32836621854632262644666391715135575e1+/-0.679e-30 y[1] (numeric) -0.32836621854632262644666391715135575e1+/-0.68e-30 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.1359e-29 relative error 0.0e0+/-0.413867177329109405162664293694477143e-28% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.499e1+/-0.100e-31 y[1] (closed_form) -0.32640589195454272439630915976969477e1+/-0.102e-29 y[1] (numeric) -0.32640589195454272439630914376657671e1+/-0.728e-30 absolute error 0.1600311806e-24+/-0.174e-29 relative error 0.490282756973905723514023484005793067e-23+/-0.533e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.498e1+/-0.150e-31 y[1] (closed_form) -0.32444282479640553524162533206807789e1+/-0.138e-29 y[1] (numeric) -0.32444282479640553524162530001608555e1+/-0.778e-30 absolute error 0.3205199234e-24+/-0.215e-29 relative error 0.987908805198983101027345541971905222e-23+/-0.662e-28% Desired digits 8 Estimated correct digits 13 Correct digits 24 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.497e1+/-0.200e-31 y[1] (closed_form) -0.32247711337782431941159535140125442e1+/-0.172e-29 y[1] (numeric) -0.32247711337782431941159530325623638e1+/-0.828e-30 absolute error 0.4814501804e-24+/-0.254e-29 relative error 0.149297472728217409886667024567217336e-22+/-0.787e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.496e1+/-0.250e-31 y[1] (closed_form) -0.32050885426913617819484480229353229e1+/-0.206e-29 y[1] (numeric) -0.32050885426913617819484473801294653e1+/-0.878e-30 absolute error 0.6428058576e-24+/-0.293e-29 relative error 0.200557909411209622166379047131363694e-22+/-0.914e-28% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.495e1+/-0.300e-31 y[1] (closed_form) -0.31853814429544510050452574116347385e1+/-0.239e-29 y[1] (numeric) -0.31853814429544510050452566070639181e1+/-0.928e-30 absolute error 0.8045708204e-24+/-0.331e-29 relative error 0.252582252646564710884911089690057619e-22+/-0.103e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.494e1+/-0.350e-31 y[1] (closed_form) -0.3165650805269395331667430804039717e1+/-0.273e-29 y[1] (numeric) -0.31656508052693953316674298373108251e1+/-0.978e-30 absolute error 0.9667288919e-24+/-0.37e-29 relative error 0.305380773612436336043646833076611352e-22+/-0.116e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.493e1+/-0.400e-31 y[1] (closed_form) -0.31458976026918544296742604464857659e1+/-0.304e-29 y[1] (numeric) -0.31458976026918544296742593172219087e1+/-0.1e-29 absolute error 0.11292638572e-23+/-0.404e-29 relative error 0.358963958723170543636774759645077794e-22+/-0.128e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.492e1+/-0.450e-31 y[1] (closed_form) -0.31261228105339584114335092408117744e1+/-0.335e-29 y[1] (numeric) -0.31261228105339584114335079486523115e1+/-0.1e-29 absolute error 0.12921594629e-23+/-0.435e-29 relative error 0.413342514422615497828432353459900814e-22+/-0.139e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.491e1+/-0.500e-31 y[1] (closed_form) -0.3106327406266777433567573199519395e1+/-0.365e-29 y[1] (numeric) -0.31063274062667774335675717441199767e1+/-0.1e-29 absolute error 0.14553994183e-23+/-0.465e-29 relative error 0.468527372666462406366150836474935127e-22+/-0.149e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.49e1+/-0.550e-31 y[1] (closed_form) -0.30865123694225754044943291441219197e1+/-0.394e-29 y[1] (numeric) -0.30865123694225754044943275251545189e1+/-0.1e-29 absolute error 0.16189674008e-23+/-0.494e-29 relative error 0.52452969793309992425519809018127797e-22+/-0.16e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.489e1+/-0.600e-31 y[1] (closed_form) -0.306667868149685757431045858971384e1+/-0.423e-29 y[1] (numeric) -0.30666786814968575743104568068667862e1+/-0.1e-29 absolute error 0.17828470538e-23+/-0.523e-29 relative error 0.581360892015522651815181468706060063e-22+/-0.17e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.488e1+/-0.650e-31 y[1] (closed_form) -0.30468273258502218021766327470316229e1+/-0.454e-29 y[1] (numeric) -0.30468273258502218021766308000096351e1+/-0.1e-29 absolute error 0.19470219878e-23+/-0.554e-29 relative error 0.639032600003572749622541568481054816e-22+/-0.181e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.487e1+/-0.700e-31 y[1] (closed_form) -0.30269592876100233159960297856280357e1+/-0.484e-29 y[1] (numeric) -0.3026959287610023315996027674152248e1+/-0.1e-29 absolute error 0.21114757877e-23+/-0.584e-29 relative error 0.69755671850054656433341962115461091e-22+/-0.192e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.486e1+/-0.750e-31 y[1] (closed_form) -0.30070755535718627978282707459854047e1+/-0.512e-29 y[1] (numeric) -0.30070755535718627978282684697933975e1+/-0.1e-29 absolute error 0.22761920072e-23+/-0.612e-29 relative error 0.75694539982418961385281159518015584e-22+/-0.203e-27% Desired digits 8 Estimated correct digits 13 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.485e1+/-0.800e-31 y[1] (closed_form) -0.29871771121009076461481397184652843e1+/-0.539e-29 y[1] (numeric) -0.29871771121009076461481372773111102e1+/-0.1e-29 absolute error 0.24411541741e-23+/-0.639e-29 relative error 0.817211059970633959360671842775718435e-22+/-0.213e-27% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.484e1+/-0.850e-31 y[1] (closed_form) -0.29672649530330562827406304097326813e1+/-0.561e-29 y[1] (numeric) -0.29672649530330562827406278033868878e1+/-0.1e-29 absolute error 0.26063457935e-23+/-0.661e-29 relative error 0.878366386134768758679860071615883186e-22+/-0.222e-27% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.483e1+/-0.900e-31 y[1] (closed_form) -0.29473400675759553877192667889538239e1+/-0.588e-29 y[1] (numeric) -0.29473400675759553877192640172034775e1+/-0.1e-29 absolute error 0.27717503464e-23+/-0.688e-29 relative error 0.940424342915960343084224544197837933e-22+/-0.233e-27% Desired digits 8 Estimated correct digits 12 Correct digits 23 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.482e1+/-0.950e-31 y[1] (closed_form) -0.292740344820987996086171061916977e1+/-0.613e-29 y[1] (numeric) -0.29274034482098799608617076818184791e1+/-0.1e-29 absolute error 0.29373512909e-23+/-0.713e-29 relative error 0.10033981796039091190330591807219193e-21+/-0.243e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.481e1+/-0.1e-30 y[1] (closed_form) -0.29074560885884861211739226395383934e1+/-0.635e-29 y[1] (numeric) -0.29074560885884861211739195364063246e1+/-0.1e-29 absolute error 0.31031320688e-23+/-0.735e-29 relative error 0.106730143955725597727810174547909483e-21+/-0.252e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.48e1+/-0.1e-30 y[1] (closed_form) -0.28874989834394465693202152576494881e1+/-0.63e-29 y[1] (numeric) -0.28874989834394465693202119885733859e1+/-0.1e-29 absolute error 0.32690761022e-23+/-0.73e-29 relative error 0.113214796644050678101480775471868538e-21+/-0.252e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.479e1+/-0.1e-30 y[1] (closed_form) -0.28675331284649786492901502413475933e1+/-0.624e-29 y[1] (numeric) -0.28675331284649786492901468061807984e1+/-0.1e-29 absolute error 0.34351667949e-23+/-0.724e-29 relative error 0.119795191232503101456498834683403654e-21+/-0.252e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.478e1+/-0.1e-30 y[1] (closed_form) -0.2847559520242274956413221714659554e1+/-0.616e-29 y[1] (numeric) -0.28475595202422749564132181132720143e1+/-0.1e-29 absolute error 0.36013875397e-23+/-0.716e-29 relative error 0.126472774812924301576930535849930255e-21+/-0.251e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.477e1+/-0.1e-30 y[1] (closed_form) -0.28275791561238464485775487727872611e1+/-0.609e-29 y[1] (numeric) -0.28275791561238464485775450050655463e1+/-0.1e-29 absolute error 0.37677217148e-23+/-0.709e-29 relative error 0.133249027056944955504044485705450196e-21+/-0.25e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.476e1+/-0.1e-30 y[1] (closed_form) -0.2807593034137788026258408716410526e1+/-0.605e-29 y[1] (numeric) -0.28075930341377880262584047822578409e1+/-0.1e-29 absolute error 0.39341526851e-23+/-0.705e-29 relative error 0.140125461107228402279005506172548067e-21+/-0.251e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.475e1+/-0.1e-30 y[1] (closed_form) -0.27876021528879765547154963123733339e1+/-0.599e-29 y[1] (numeric) -0.27876021528879765547154922117095244e1+/-0.1e-29 absolute error 0.41006638095e-23+/-0.699e-29 relative error 0.14710362471386678357694826334197606e-21+/-0.25e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] -0.474e1+/-0.1e-30 y[1] (closed_form) -0.27676075114542113084735213172189952e1+/-0.591e-29 y[1] (numeric) -0.27676075114542113084735170499805583e1+/-0.1e-29 absolute error 0.42672384369e-23+/-0.691e-29 relative error 0.154185101002917238985027063305443195e-21+/-0.249e-27% Desired digits 8 Estimated correct digits 12 Correct digits 22 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = sin ( x ) + 1.0 ; Iterations 262 Total Elapsed Time 3 Minutes 1 Seconds Elapsed Time(since restart) 3 Minutes 1 Seconds Expected Time Remaining 1 Hours 51 Minutes 41 Seconds Optimized Time Remaining 1 Hours 51 Minutes 41 Seconds Expected Total Time 1 Hours 54 Minutes 42 Seconds Time to Timeout 0.0 Seconds Percent Done 0.263e1+/-0.105e-29%