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/sing5postode.ode#################
diff  (  y  ,  x  ,  1  )   =  m1  *  3.0    /  x  /  x  /  x  /  x  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=20 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(-1.0) 
x_end=c(-0.7) 
$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
#  ELIMINATED in preodein.rb
#  ELIMINATED in preodein.rb
$glob_type_given_pole=1 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][1]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(4.0) 
#  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(x)) 
end


#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             -0.1e1+/-0.50e-30 
y[1] (closed_form)               -0.1e1+/-0.155e-29 
y[1] (numeric)                   -0.1e1+/-0.165e-29 
absolute error                   0.0e0+/-0.320e-29 
relative error                   0.0e0+/-0.320000000000000000000000000000992e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.1e1+/-0.1e-31 
Order of pole (given)                             0.4e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.1000000000000004290000000000018223e1+/-0.553e-27 
Order of pole (three term test)                   0.530400000000002253139380210077595e-13+/-0.939e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.9e0+/-0.5e-30 
y[1] (closed_form)               -0.137174211248285322359396433470507e1+/-0.235e-29 
y[1] (numeric)                   -0.137174164060658904766435016479489e1+/-0.291e-29 
absolute error                   0.47187626417592961416991018e-6+/-0.526e-29 
relative error                   0.3439977965842526887298645212200013e-4+/-0.383e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   7 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.9000000000000000000000000000000154e0+/-0.499e-29 
Order of pole (given)                             0.4e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.9000000000000038610000000000164529e0+/-0.478e-27 
Order of pole (three term test)                   0.530400000000002262107035729195166e-13+/-0.906e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.8e0+/-0.5e-30 
y[1] (closed_form)               -0.1953125e1+/-0.375e-29 
y[1] (numeric)                   -0.195312325355389037499363750504986e1+/-0.498e-29 
absolute error                   0.174644610962500636249495014e-5+/-0.873e-29 
relative error                   0.89418040812800325759741447168e-4+/-0.446e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.8000000000000000000000000000000211e0+/-0.5e-29 
Order of pole (given)                             0.4e1+/-0.50e-31 
NO POLE (ratio test) for Equation 1
Radius of convergence (three term test) for eq 1  0.8000000000000034320000000000146081e0+/-0.509e-27 
Order of pole (three term test)                   0.530400000000002258842240472724302e-13+/-0.107e-25 
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff  (  y  ,  x  ,  1  )   =  m1  *  3.0    /  x  /  x  /  x  /  x  ; 
Iterations                      6 
Total Elapsed Time              7 Seconds
Elapsed Time(since restart)     7 Seconds
Time to Timeout                 19 Minutes 53 Seconds
Percent Done                    0.1166666666666666666666666666666666e3+/-0.725e-27%