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/sing6postode.ode#################
diff  (  y  ,  x  ,  1  )   =  m1  *  2.0  /   (  x  -  6.0  )   /   (  x  -  6.0  )   /   (  x  -  6.0 )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=30; ELIMINATED in preodein.rb
max_terms=20 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(2.0) 
x_end=c(3.0) 
#  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=1 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][1]=c(6.0) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(3.0) 
#  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(6.0) ) / ( c(x) - c(6.0) )) 
end


#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.2e1+/-0.50e-31 
y[1] (closed_form)               0.625e-1+/-0.623e-32 
y[1] (numeric)                   0.625e-1+/-0.124e-31 
absolute error                   0.0e0+/-0.1863e-31 
relative error                   0.0e0+/-0.2980800000000000000000000000000594e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.4000000000000000000000000000003566e1+/-0.204e-27 
Order of pole (given)                             0.3e1+/-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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               0.6574621959237343852728468113083487e-1+/-0.663e-32 
y[1] (numeric)                   0.6574621959134539270744974288201705e-1+/-0.386e-31 
absolute error                   0.102804581983493824881782e-11+/-0.452e-31 
relative error                   0.1563657691968941076451904220000002e-8+/-0.687e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   11 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3900000000000000000000000000003747e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               0.6925207756232686980609418282548473e-1+/-0.526e-32 
y[1] (numeric)                   0.6925207756003747991671606804698812e-1+/-0.66e-31 
absolute error                   0.228938988937811477849661e-11+/-0.712e-31 
relative error                   0.3305879000261997740149104840000001e-8+/-0.102e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   11 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3800000000000000000000000000003889e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               0.730460189919649379108838568298027e-1+/-0.759e-32 
y[1] (numeric)                   0.7304601898811963242802158170519603e-1+/-0.777e-31 
absolute error                   0.384530548286227512460667e-11+/-0.852e-31 
relative error                   0.5264223206038454645586531230000005e-8+/-0.116e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   11 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3700000000000000000000000000003928e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.24e1+/-0.5e-31 
y[1] (closed_form)               0.7716049382716049382716049382716027e-1+/-0.814e-32 
y[1] (numeric)                   0.7716049382138501812302701472377486e-1+/-0.103e-30 
absolute error                   0.577547570413347910338541e-11+/-0.111e-30 
relative error                   0.7485016512556988917987491360000021e-8+/-0.143e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   11 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3600000000000000000000000000004026e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.25e1+/-0.5e-31 
y[1] (closed_form)               0.8163265306122448979591836734693857e-1+/-0.873e-32 
y[1] (numeric)                   0.8163265305304022646169232350550985e-1+/-0.11e-30 
absolute error                   0.818426333422604384142872e-11+/-0.118e-30 
relative error                   0.1002572258442690370575018200000002e-7+/-0.144e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   10 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3500000000000000000000000000004443e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.26e1+/-0.5e-31 
y[1] (closed_form)               0.8650519031141868512110726643598588e-1+/-0.939e-32 
y[1] (numeric)                   0.8650519030020930181986531724853216e-1+/-0.118e-30 
absolute error                   0.1120938330124194918745372e-10+/-0.127e-30 
relative error                   0.1295804709623569326069650032000004e-7+/-0.146e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   10 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3400000000000000000000000000004536e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.27e1+/-0.5e-31 
y[1] (closed_form)               0.9182736455463728191000918273645545e-1+/-0.101e-31 
y[1] (numeric)                   0.9182736453960327439051182959922802e-1+/-0.126e-30 
absolute error                   0.1503400751949735313722743e-10+/-0.136e-30 
relative error                   0.1637203418873261756644067127e-7+/-0.148e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   10 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3300000000000000000000000000004697e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.28e1+/-0.5e-31 
y[1] (closed_form)               0.9765625e-1+/-0.109e-31 
y[1] (numeric)                   0.9765624998009617694943892787190582e-1+/-0.134e-30 
absolute error                   0.1990382305056107212809418e-10+/-0.144e-30 
relative error                   0.2038151480377453785916844032e-7+/-0.147e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   10 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3200000000000000000000000000004673e1+/-0.203e-27 
Order of pole (given)                             0.3e1+/-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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               0.1040582726326742976066597294484909e0+/-0.119e-31 
y[1] (numeric)                   0.1040582726065229821208061289958329e0+/-0.16e-30 
absolute error                   0.26151315485853600452658e-10+/-0.171e-30 
relative error                   0.2513141418190531003500433800000006e-7+/-0.164e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   10 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.3099999999999999999999999999999825e1+/-0.219e-28 
Order of pole (given)                             0.3e1+/-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
Finished!
diff  (  y  ,  x  ,  1  )   =  m1  *  2.0  /   (  x  -  6.0  )   /   (  x  -  6.0  )   /   (  x  -  6.0 )   ; 
Iterations                      20 
Total Elapsed Time              28 Seconds
Elapsed Time(since restart)     28 Seconds
Time to Timeout                 19 Minutes 32 Seconds
Percent Done                    0.105e3+/-0.257e-28%