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/sing1postode.ode#################
diff  (  y  ,  x  ,  1  )   =  m1  *  2.0  *  x  /   ( x  *   x  +  0.000001 )   /  (  x  *  x  +  0.000001 )  ; 
!
#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(-1.5) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$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
$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(0.001) 
#  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) 
#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(0.000001)))  
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)               0.2499999375000156249960937509765622e0+/-0.137e-30 
y[1] (numeric)                   0.2499999375000156249960937509765622e0+/-0.161e-30 
absolute error                   0.0e0+/-0.298e-30 
relative error                   0.0e0+/-0.1192000298000000000000000000001306e-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           0.2000000249999984375001953124694794e1+/-0.504e-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)               0.2770082335157247878878703911716367e0+/-0.159e-30 
y[1] (numeric)                   0.2770082335157247878845344959007577e0+/-0.302e-30 
absolute error                   0.3335895270879e-20+/-0.461e-30 
relative error                   0.12042585263768460879e-17+/-0.166e-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           0.1900000263157876512613691939990842e1+/-0.503e-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    0.1900000659104016953755395913259557e1+/-0.366e-8 
Order of pole (six term test)                     0.99999999985346711241214372068712e0+/-0.755e-17 
 
TOP MAIN SOLVE Loop
x[1]                             -0.18e1+/-0.5e-30 
y[1] (closed_form)               0.3086418800488024540733166440380728e0+/-0.186e-30 
y[1] (numeric)                   0.3086418800488024540656540509545395e0+/-0.463e-30 
absolute error                   0.76625930835333e-20+/-0.649e-30 
relative error                   0.248268092532409755333e-17+/-0.21e-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           0.1800000277777756344310577866896444e1+/-0.504e-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    0.1800000614436112272496228994212047e1+/-0.359e-8 
Order of pole (six term test)                     0.9999999998534675563933396916136e0+/-0.881e-17 
 
TOP MAIN SOLVE Loop
x[1]                             -0.17e1+/-0.5e-30 
y[1] (closed_form)               0.3460206415153489566266586066925236e0+/-0.22e-30 
y[1] (numeric)                   0.346020641515348956613303472411508e0+/-0.64e-30 
absolute error                   0.133551342810156e-19+/-0.86e-30 
relative error                   0.385963514272693650156e-17+/-0.248e-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           0.1700000294117621616124898492347825e1+/-0.503e-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    0.1700000577723087296924815849720853e1+/-0.329e-8 
Order of pole (six term test)                     0.9999999998534680805548213625531e0+/-0.956e-17 
 
TOP MAIN SOLVE Loop
x[1]                             -0.16e1+/-0.5e-30 
y[1] (closed_form)               0.3906248474121689796214923353545565e0+/-0.263e-30 
y[1] (numeric)                   0.3906248474121689796005272139862725e0+/-0.862e-30 
absolute error                   0.20965121368284e-19+/-0.112e-29 
relative error                   0.53670731667928408284e-17+/-0.286e-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           0.1600000312499969482427835463023206e1+/-0.502e-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    0.160000054894105614083684010767411e1+/-0.29e-8 
Order of pole (six term test)                     0.99999999985346870558264329420594e0+/-0.1e-16 
Finished!
diff  (  y  ,  x  ,  1  )   =  m1  *  2.0  *  x  /   ( x  *   x  +  0.000001 )   /  (  x  *  x  +  0.000001 )  ; 
Iterations                      10 
Total Elapsed Time              45 Seconds
Elapsed Time(since restart)     45 Seconds
Time to Timeout                 19 Minutes 15 Seconds
Percent Done                    0.11e3+/-0.424e-27%