Initializing...
Initialized
Initializing(2)...
PI = 0.3141592653589793238462643383279486e1+/-0.313e-31
E = 0.2718281828459045235360287471352649e1+/-0.256e-30
LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30
Initialized(2)
##############ECHO OF PROBLEM#################
##############temp/sing4postode.ode#################
diff  (  y  ,  x  ,  1  )   =  m1  *  2.0  *  x  /   ( x  *   x  +  1.0 )   /  (  x  *  x  +  1.0 )  ; 
!
#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(-1.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_h=c(0.1) 
$glob_max_h=c(0.001) 
$glob_min_h=c(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
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
$glob_type_given_pole=2 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][1]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(1.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(1.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=8 
$glob_max_minutes=(20.0) 
$glob_subiter_method=3 
$glob_max_iter=1000 
$glob_upper_ratio_limit=c(1.11) 
$glob_lower_ratio_limit=c(0.99) 
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
x = c(x)
return(c(1.0) / (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-30 
y[1] (closed_form)               0.2e0+/-0.92e-31 
y[1] (numeric)                   0.2e0+/-0.112e-30 
absolute error                   0.0e0+/-0.204e-30 
relative error                   0.0e0+/-0.1020000000000000000000000000000938e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.223606797749978969640917366873123e1+/-0.474e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.19e1+/-0.5e-30 
y[1] (closed_form)               0.2169197396963123644251626898047722e0+/-0.102e-30 
y[1] (numeric)                   0.2169197396963123644241690246558114e0+/-0.213e-30 
absolute error                   0.9936651489608e-21+/-0.315e-30 
relative error                   0.4580796336709288e-18+/-0.145e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.2147091055358388846920969878103863e1+/-0.47e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.18e1+/-0.5e-30 
y[1] (closed_form)               0.2358490566037735849056603773584905e0+/-0.114e-30 
y[1] (numeric)                   0.2358490566037735849035319497891636e0+/-0.322e-30 
absolute error                   0.21284275693269e-20+/-0.436e-30 
relative error                   0.9024532893946056000000000000000002e-18+/-0.184e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.2059126028197400063159473892839475e1+/-0.465e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.17e1+/-0.5e-30 
y[1] (closed_form)               0.2570694087403598971722365038560411e0+/-0.128e-30 
y[1] (numeric)                   0.2570694087403598971688217414751541e0+/-0.409e-30 
absolute error                   0.3414762380887e-20+/-0.537e-30 
relative error                   0.1328342566165043e-17+/-0.208e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1972308292331601996806399908324762e1+/-0.459e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.16e1+/-0.5e-30 
y[1] (closed_form)               0.2808988764044943820224719101123595e0+/-0.144e-30 
y[1] (numeric)                   0.2808988764044943820176154940137788e0+/-0.53e-30 
absolute error                   0.48564160985807e-20+/-0.674e-30 
relative error                   0.17288841310947292e-17+/-0.239e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1886796226411320762264132075525196e1+/-0.454e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.15e1+/-0.5e-30 
y[1] (closed_form)               0.3076923076923076923076923076923076e0+/-0.162e-30 
y[1] (numeric)                   0.3076923076923076923012479317534795e0+/-0.64e-30 
absolute error                   0.64443759388281e-20+/-0.802e-30 
relative error                   0.20944221801191325e-17+/-0.26e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.180277563773199464655961063373592e1+/-0.447e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.14e1+/-0.5e-30 
y[1] (closed_form)               0.3378378378378378378378378378378378e0+/-0.182e-30 
y[1] (numeric)                   0.337837837837837837829690455656098e0+/-0.779e-30 
absolute error                   0.81473821817398e-20+/-0.961e-30 
relative error                   0.24116251257949808e-17+/-0.284e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1720465053408525354345894707010696e1+/-0.438e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.13e1+/-0.5e-30 
y[1] (closed_form)               0.3717472118959107806691449814126394e0+/-0.205e-30 
y[1] (numeric)                   0.3717472118959107806592474475382405e0+/-0.965e-30 
absolute error                   0.98975338743989e-20+/-0.117e-29 
relative error                   0.26624366122133041e-17+/-0.314e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1640121946685672516307471322740154e1+/-0.429e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1    0.1640121946685666179147757160685948e1+/-0.675e-15 
Order of pole (six term test)                     0.99999999999992583300581960467068e0+/-0.396e-19 
 
TOP MAIN SOLVE Loop
x[1]                             -0.12e1+/-0.5e-30 
y[1] (closed_form)               0.4098360655737704918032786885245901e0+/-0.23e-30 
y[1] (numeric)                   0.4098360655737704917917092918459994e0+/-0.108e-29 
absolute error                   0.115693966785907e-19+/-0.131e-29 
relative error                   0.28229327895761308e-17+/-0.319e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1562049935181330878825944547152681e1+/-0.418e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1    0.1562049935181333817029591880277654e1+/-0.414e-17 
Order of pole (six term test)                     0.100000000000003355696660063408799e1+/-0.237e-20 
 
TOP MAIN SOLVE Loop
x[1]                             -0.11e1+/-0.5e-30 
y[1] (closed_form)               0.4524886877828054298642533936651583e0+/-0.258e-30 
y[1] (numeric)                   0.4524886877828054298513019033232791e0+/-0.124e-29 
absolute error                   0.129514903418792e-19+/-0.149e-29 
relative error                   0.28622793655553032e-17+/-0.329e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1486606874731850552261200821394065e1+/-0.405e-28 
Order of pole (given)                             0.1e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
NO REAL POLE (three term test) for Equation 1
Radius of convergence (six term test) for eq 1    0.1486606874731846699535549900103088e1+/-0.9e-18 
Order of pole (six term test)                     0.99999999999994233025331608789446e0+/-0.789e-21 
Finished!
diff  (  y  ,  x  ,  1  )   =  m1  *  2.0  *  x  /   ( x  *   x  +  1.0 )   /  (  x  *  x  +  1.0 )  ; 
Iterations                      20 
Total Elapsed Time              1 Minutes 4 Seconds
Elapsed Time(since restart)     1 Minutes 4 Seconds
Time to Timeout                 18 Minutes 56 Seconds
Percent Done                    0.105e3+/-0.21e-27%