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_m2_2postode.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(2.0) 
#  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-32 
y[1] (closed_form)               0.140957847937113081873375125374398077e1+/-0.218e-30 
y[1] (numeric)                   0.140957847937113081873375125374398077e1+/-0.218e-30 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.436e-30 
relative error                   0.0e0+/-0.309312327323922389933019560866452283e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.199e1+/-0.100e-31 
y[1] (closed_form)               0.139851701893338235170671525064133979e1+/-0.426e-30 
y[1] (numeric)                   0.139851701839722216145418008096727101e1+/-0.218e-30 
absolute error                   0.53616019025253516967406878e-9+/-0.644e-30 
relative error                   0.383377665765878597560034808154767238e-7+/-0.46e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.198e1+/-0.150e-31 
y[1] (closed_form)               0.138747571952808775031848375857635379e1+/-0.63e-30 
y[1] (numeric)                   0.138747571844982458948308836562850065e1+/-0.218e-30 
absolute error                   0.107826316083539539294785314e-8+/-0.848e-30 
relative error                   0.777140201921614436578846943678137788e-7+/-0.611e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.197e1+/-0.200e-31 
y[1] (closed_form)               0.137645474382428438138643626493473458e1+/-0.842e-30 
y[1] (numeric)                   0.137645474219789709163243378875942021e1+/-0.218e-30 
absolute error                   0.162638728975400247617531437e-8+/-0.106e-29 
relative error                   0.118157701664445279618620246257317585e-6+/-0.77e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.196e1+/-0.250e-31 
y[1] (closed_form)               0.136545425629777745438279722523191143e1+/-0.105e-29 
y[1] (numeric)                   0.136545425411716542729746146389443289e1+/-0.218e-30 
absolute error                   0.218061202708533576133747854e-8+/-0.126e-29 
relative error                   0.159698650982108710330848844062064025e-6+/-0.922e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.195e1+/-0.300e-31 
y[1] (closed_form)               0.135447442325497839159285106198195615e1+/-0.125e-29 
y[1] (numeric)                   0.135447442051396048560918867988004375e1+/-0.218e-30 
absolute error                   0.27410179059836623821019124e-8+/-0.146e-29 
relative error                   0.202367638614883511318784721096126284e-6+/-0.107e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.194e1+/-0.350e-31 
y[1] (closed_form)               0.134351541285706806500340490451606495e1+/-0.146e-29 
y[1] (numeric)                   0.134351540954938151145295962716433475e1+/-0.218e-30 
absolute error                   0.33076865535504452773517302e-8+/-0.167e-29 
relative error                   0.24619639803881718124811203010703166e-6+/-0.124e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.193e1+/-0.400e-31 
y[1] (closed_form)               0.133257739514448815564331534921042246e1+/-0.168e-29 
y[1] (numeric)                   0.133257739126378745409245507007027901e1+/-0.218e-30 
absolute error                   0.388070070155086027914014345e-8+/-0.189e-29 
relative error                   0.291217659528892522897645059360437827e-6+/-0.141e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.192e1+/-0.450e-31 
y[1] (closed_form)               0.132166054206176384482241581432141705e1+/-0.190e-29 
y[1] (numeric)                   0.132166053760161964786405458178669785e1+/-0.218e-30 
absolute error                   0.44601441969583612325347192e-8+/-0.211e-29 
relative error                   0.337465185273718322081267202651358207e-6+/-0.159e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.191e1+/-0.500e-31 
y[1] (closed_form)               0.131076502748266099486060745432958742e1+/-0.212e-29 
y[1] (numeric)                   0.131076502243655898255291409076755812e1+/-0.218e-30 
absolute error                   0.50461020123076933635620293e-8+/-0.233e-29 
relative error                   0.384973805869598850854835927211642712e-6+/-0.177e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.19e1+/-0.550e-31 
y[1] (closed_form)               0.129989102723568091915319006370588893e1+/-0.234e-29 
y[1] (numeric)                   0.129989102159702066331752197142704466e1+/-0.218e-30 
absolute error                   0.563866025583566809227884427e-8+/-0.255e-29 
relative error                   0.43377945825402891083792522786366464e-6+/-0.196e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.189e1+/-0.600e-31 
y[1] (closed_form)               0.128903871912989577745519612289077001e1+/-0.256e-29 
y[1] (numeric)                   0.128903871289198959606732088950292931e1+/-0.218e-30 
absolute error                   0.62379061813878752333878407e-8+/-0.277e-29 
relative error                   0.483919225141543990629739278825132667e-6+/-0.214e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             -0.188e1+/-0.650e-31 
y[1] (closed_form)               0.12782082829811275617449551922587188e1+/-0.278e-29 
y[1] (numeric)                   0.127820827613719936367663617488943329e1+/-0.218e-30 
absolute error                   0.684392819806831901736928551e-8+/-0.299e-29 
relative error                   0.535431376027890125416147523134468175e-6+/-0.233e-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 2 Seconds
Elapsed Time(since restart)     3 Minutes 2 Seconds
Expected Time Remaining         1 Hours 36 Minutes 25 Seconds
Optimized Time Remaining        1 Hours 36 Minutes 25 Seconds
Expected Total Time             1 Hours 39 Minutes 27 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.305e1+/-0.177e-29%