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/arctan_tan_0d2_0d5postode.ode#################
diff  (  y  ,  x  ,  1  )   =   arctan  ( tan ( x )  )   ; 
!
#BEGIN FIRST INPUT BLOCK
max_terms=30 
# Digits:=32; ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.2) 
x_end=c(0.5) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_display_interval=0.001 
#  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)*c(x)/c(2.0)) 

end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.2e0+/-0.50e-33 
y[1] (closed_form)               0.2e-1+/-0.105e-33 
y[1] (numeric)                   0.2e-1+/-0.125e-33 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.230e-33 
relative error                   0.0e0+/-0.115000000000000000000000000000001207e-29%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.21e0+/-0.550e-32 
y[1] (closed_form)               0.2205e-1+/-0.116e-32 
y[1] (numeric)                   0.220500006921702731877583968666967071e-1+/-0.142e-32 
absolute error                   0.6921702731877583968666967071e-9+/-0.258e-32 
relative error                   0.313909420946829204928207123401360544e-5+/-0.117e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.22e0+/-0.105e-31 
y[1] (closed_form)               0.242e-1+/-0.231e-32 
y[1] (numeric)                   0.242000014191814485874676922507627698e-1+/-0.262e-32 
absolute error                   0.14191814485874676922507627698e-8+/-0.493e-32 
relative error                   0.586438615118788302582959822231404958e-5+/-0.203e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.23e0+/-0.155e-31 
y[1] (closed_form)               0.2645e-1+/-0.357e-32 
y[1] (numeric)                   0.264500021811856694659447981291700701e-1+/-0.393e-32 
absolute error                   0.21811856694659447981291700701e-8+/-0.750e-32 
relative error                   0.824644865582587825379648419697542533e-5+/-0.283e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.24e0+/-0.205e-31 
y[1] (closed_form)               0.288e-1+/-0.492e-32 
y[1] (numeric)                   0.288000029783431238279223726860790914e-1+/-0.535e-32 
absolute error                   0.29783431238279223726860790914e-8+/-0.102e-31 
relative error                   0.103414691799580637940488857340277777e-4+/-0.354e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.25e0+/-0.255e-31 
y[1] (closed_form)               0.3125e-1+/-0.635e-32 
y[1] (numeric)                   0.312500038108221826288651024037346989e-1+/-0.685e-32 
absolute error                   0.38108221826288651024037346989e-8+/-0.132e-31 
relative error                   0.1219463098441236832769195103648e-4+/-0.422e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.26e0+/-0.305e-31 
y[1] (closed_form)               0.338e-1+/-0.79e-32 
y[1] (numeric)                   0.338000046787995460444271882287002644e-1+/-0.848e-32 
absolute error                   0.46787995460444271882287002644e-8+/-0.163e-31 
relative error                   0.138426022072320331012683439775147928e-4+/-0.482e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.27e0+/-0.355e-31 
y[1] (closed_form)               0.3645e-1+/-0.955e-32 
y[1] (numeric)                   0.364500055824603980738724343073451399e-1+/-0.101e-31 
absolute error                   0.55824603980738724343073451399e-8+/-0.196e-31 
relative error                   0.153153920386114470077019071053497942e-4+/-0.537e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.28e0+/-0.405e-31 
y[1] (closed_form)               0.392e-1+/-0.113e-31 
y[1] (numeric)                   0.392000065219985697732864529422743749e-1+/-0.111e-31 
absolute error                   0.65219985697732864529422743749e-8+/-0.224e-31 
relative error                   0.166377514535032817677098836094387755e-4+/-0.571e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   arctan  ( tan ( x )  )   ; 
Iterations                      89 
Total Elapsed Time              3 Minutes 3 Seconds
Elapsed Time(since restart)     3 Minutes 3 Seconds
Expected Time Remaining         7 Minutes 6 Seconds
Optimized Time Remaining        7 Minutes 6 Seconds
Expected Total Time             10 Minutes 9 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.3e2+/-0.154e-28%