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_arctan_2_3postode.ode################# diff ( y , x , 1 ) = arctan ( x ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(2.0) x_end=c(3.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $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=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)*arctan(c(x))-c(0.5)*ln(c(x)*c(x)+c(1.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.50e-33 y[1] (closed_form) 0.140957847937113081873375125374398031e1+/-0.3e-31 y[1] (numeric) 0.140957847937113081873375125374398031e1+/-0.307e-31 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.607e-31 relative error 0.0e0+/-0.430625189645919474058125856527262648e-29% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.201e1+/-0.550e-32 y[1] (closed_form) 0.142065993995554682709279473947267726e1+/-0.236e-30 y[1] (numeric) 0.142065994048607760027979571668396298e1+/-0.581e-31 absolute error 0.53053077318700097721128572e-9+/-0.294e-30 relative error 0.373439665796166220640621177258348535e-7+/-0.206e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.202e1+/-0.105e-31 y[1] (closed_form) 0.143176124156089653214282952325495721e1+/-0.441e-30 y[1] (numeric) 0.143176124261616632262795838655546519e1+/-0.827e-31 absolute error 0.105526979048512886330050798e-8+/-0.523e-30 relative error 0.737043132509077277247288298005674066e-7+/-0.365e-28% Desired digits 8 Estimated correct digits 13 Correct digits 8 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.203e1+/-0.155e-31 y[1] (closed_form) 0.14428822267986148793749983088195e1+/-0.639e-30 y[1] (numeric) 0.144288222837290718180194190178590732e1+/-0.1e-30 absolute error 0.157429230242694359296640732e-8+/-0.739e-30 relative error 0.10910747067138625198332745601977385e-6+/-0.512e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.204e1+/-0.205e-31 y[1] (closed_form) 0.145402273999473339739294723524743339e1+/-0.842e-30 y[1] (numeric) 0.145402274208240593014327460193644539e1+/-0.1e-30 absolute error 0.2087672532750327366689012e-8+/-0.942e-30 relative error 0.143579084104137814686146036745725059e-6+/-0.647e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.205e1+/-0.255e-31 y[1] (closed_form) 0.146518262716761606001812957519606547e1+/-0.103e-29 y[1] (numeric) 0.146518262976309974984566923867916665e1+/-0.1e-30 absolute error 0.259548368982753966348310118e-8+/-0.113e-29 relative error 0.177144039364221713785296488631292293e-6+/-0.771e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.206e1+/-0.305e-31 y[1] (closed_form) 0.147636173600599978552003284523144847e1+/-0.123e-29 y[1] (numeric) 0.147636173910379776366434794850700414e1+/-0.1e-30 absolute error 0.309779797814431510327555567e-8+/-0.133e-29 relative error 0.209826487817598515980658138123873301e-6+/-0.9e-28% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.207e1+/-0.355e-31 y[1] (closed_form) 0.148755991584733612611554286875450067e1+/-0.143e-29 y[1] (numeric) 0.148755991944202273593272515715050197e1+/-0.1e-30 absolute error 0.35946866098171822883960013e-8+/-0.153e-29 relative error 0.241649870470568282097562494187438012e-6+/-0.102e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.208e1+/-0.405e-31 y[1] (closed_form) 0.149877701765643068956613292650519012e1+/-0.163e-29 y[1] (numeric) 0.149877702174265050570399894436510141e1+/-0.1e-30 absolute error 0.408621981613786601785991129e-8+/-0.173e-29 relative error 0.272636941186041249845264237058003352e-6+/-0.115e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.209e1+/-0.455e-31 y[1] (closed_form) 0.151001289400437682672121739739657005e1+/-0.182e-29 y[1] (numeric) 0.151001289857684368585550494831410989e1+/-0.1e-30 absolute error 0.457246685913428755091753984e-8+/-0.192e-29 relative error 0.302809789061379636878480809870744797e-6+/-0.127e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.505e-31 y[1] (closed_form) 0.152126739904778011401537576117009103e1+/-0.202e-29 y[1] (numeric) 0.152126740410127615715367499739320977e1+/-0.1e-30 absolute error 0.505349604313829923622311874e-8+/-0.212e-29 relative error 0.332189860001041049218402675175689561e-6+/-0.139e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.211e1+/-0.555e-31 y[1] (closed_form) 0.153254038850827015803995880600201185e1+/-0.222e-29 y[1] (numeric) 0.153254039403764488439084091527227861e1+/-0.1e-30 absolute error 0.552937472635088210927026676e-8+/-0.232e-29 relative error 0.360797977515816937722730278332553124e-6+/-0.151e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.212e1+/-0.605e-31 y[1] (closed_form) 0.154383171965229625019835779077767412e1+/-0.241e-29 y[1] (numeric) 0.154383172565246558259445702570963937e1+/-0.1e-30 absolute error 0.600016933239609923493196525e-8+/-0.251e-29 relative error 0.388654362779090005229490893365533779e-6+/-0.162e-27% Desired digits 8 Estimated correct digits 13 Correct digits 7 h 0.1e-2+/-0.5e-33 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = arctan ( x ) ; Iterations 121 Total Elapsed Time 3 Minutes 3 Seconds Elapsed Time(since restart) 3 Minutes 3 Seconds Expected Time Remaining 21 Minutes 56 Seconds Optimized Time Remaining 21 Minutes 56 Seconds Expected Total Time 24 Minutes 59 Seconds Time to Timeout 0.0 Seconds Percent Done 0.122e2+/-0.621e-29%