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/exp_sqrtpostode.ode#################
diff  (  y  ,  x  ,  1  )   =  exp ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=16; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(2.0) 
x_end=c(3.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
#  ELIMINATED in preodein.rb
$glob_max_h=c(0.01) 
#  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(-2.0) 
#  ELIMINATED in preodein.rb
$array_given_rad_poles[1][2]=c(0.0) 
#  ELIMINATED in preodein.rb
$array_given_ord_poles[1][1]=c(0.5) 
#  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=(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=true 
$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(20.0) * exp(sqrt(c(0.1) * x + c(0.2))) * sqrt( c(0.1) * x + c(0.2)) - c(20.0) * exp(sqrt(c(0.1) * x + c(0.2)))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.2e1+/-0.50e-33 
y[1] (closed_form)               -0.13836040790419253776457328343713077e2+/-0.121e-29 
y[1] (numeric)                   -0.13836040790419253776457328343713077e2+/-0.121e-29 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.242e-29 
relative error                   0.0e0+/-0.174905526563330563689749436136767544e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.400000000000000000000000000000003662e1+/-0.11e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.201e1+/-0.550e-32 
y[1] (closed_form)               -0.13817211083627796285283675582438588e2+/-0.161e-29 
y[1] (numeric)                   -0.13817211827509275526283083848042449e2+/-0.121e-29 
absolute error                   0.743881479240999408265603861e-6+/-0.282e-29 
relative error                   0.538373102023775853255441132379468688e-5+/-0.204e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.401000000000000000000000000000003796e1+/-0.21e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.202e1+/-0.105e-31 
y[1] (closed_form)               -0.13798366503343259072923319938145202e2+/-0.2e-29 
y[1] (numeric)                   -0.13798367990766014319672354632346558e2+/-0.121e-29 
absolute error                   0.1487422755246749034694201356e-5+/-0.321e-29 
relative error                   0.107797017486552171081135729835395828e-4+/-0.232e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.402000000000000000000000000000003736e1+/-0.307e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.203e1+/-0.155e-31 
y[1] (closed_form)               -0.1377950705634998269825517104675749e2+/-0.239e-29 
y[1] (numeric)                   -0.13779509286975541696333137523220861e2+/-0.121e-29 
absolute error                   0.2230625558998077966476463371e-5+/-0.360e-29 
relative error                   0.161879924287287421363693209493884049e-4+/-0.261e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.403000000000000000000000000000003685e1+/-0.405e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.204e1+/-0.205e-31 
y[1] (closed_form)               -0.13760632749397811793871657262935818e2+/-0.279e-29 
y[1] (numeric)                   -0.1376063572288942232688265534316843e2+/-0.121e-29 
absolute error                   0.2973491610533010998080232612e-5+/-0.400e-29 
relative error                   0.216086837334070698385754364724622261e-4+/-0.29e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.404000000000000000000000000000003883e1+/-0.508e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.205e1+/-0.255e-31 
y[1] (closed_form)               -0.13741743589202312843615293218743277e2+/-0.316e-29 
y[1] (numeric)                   -0.13741747305224931886203813985660297e2+/-0.121e-29 
absolute error                   0.371602261904258852076691702e-5+/-0.437e-29 
relative error                   0.270418567696349946161835183602425481e-4+/-0.318e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.405000000000000000000000000000003846e1+/-0.606e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.206e1+/-0.305e-31 
y[1] (closed_form)               -0.13722839582444990055741157005216023e2+/-0.355e-29 
y[1] (numeric)                   -0.13722844040665273021356721322386437e2+/-0.121e-29 
absolute error                   0.4458220282965615564317170414e-5+/-0.476e-29 
relative error                   0.324875930829127796602159286848092233e-4+/-0.346e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.406000000000000000000000000000003656e1+/-0.704e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.207e1+/-0.355e-31 
y[1] (closed_form)               -0.13703920735773499352959036042040393e2+/-0.395e-29 
y[1] (numeric)                   -0.13703925935859789435313584947032842e2+/-0.121e-29 
absolute error                   0.5200086290082354548904992449e-5+/-0.516e-29 
relative error                   0.37945974661891844928430690197119604e-4+/-0.376e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.407000000000000000000000000000003623e1+/-0.804e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.208e1+/-0.405e-31 
y[1] (closed_form)               -0.13684987055801860500320451392893352e2+/-0.435e-29 
y[1] (numeric)                   -0.13684992997424178107496523416808662e2+/-0.121e-29 
absolute error                   0.594162231760717607202391531e-5+/-0.556e-29 
relative error                   0.434170839430072930053931034940350339e-4+/-0.406e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.408000000000000000000000000000003461e1+/-0.905e-28 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.209e1+/-0.455e-31 
y[1] (closed_form)               -0.13666038549110667391631833679614195e2+/-0.470e-29 
y[1] (numeric)                   -0.1366604523194069967181366030357112e2+/-0.121e-29 
absolute error                   0.6682830032280181826623956925e-5+/-0.591e-29 
relative error                   0.489010038151478388693073584652664452e-4+/-0.432e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.40900000000000000000000000000000361e1+/-0.1e-27 
Order of pole (given)                             0.5e0+/-0.50e-33 
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+/-0.505e-31 
y[1] (closed_form)               -0.13647075222247296514795715035913572e2+/-0.509e-29 
y[1] (numeric)                   -0.13647082645958386972609237110159333e2+/-0.121e-29 
absolute error                   0.7423711090457813522074245761e-5+/-0.630e-29 
relative error                   0.543978176243637152201245854943807338e-4+/-0.461e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.410000000000000000000000000000003551e1+/-0.11e-27 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.211e1+/-0.555e-31 
y[1] (closed_form)               -0.13628097081726113616206837671599288e2+/-0.550e-29 
y[1] (numeric)                   -0.13628105245993251818668296808066029e2+/-0.121e-29 
absolute error                   0.8164267138202461459136466741e-5+/-0.671e-29 
relative error                   0.599076091786131307773194130104696776e-4+/-0.492e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.411000000000000000000000000000003423e1+/-0.12e-27 
Order of pole (given)                             0.5e0+/-0.50e-33 
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]                             0.212e1+/-0.605e-31 
y[1] (closed_form)               -0.13609104134028678584059479263449184e2+/-0.588e-29 
y[1] (numeric)                   -0.13609113038528489955145672996813382e2+/-0.121e-29 
absolute error                   0.8904499811371086193733364198e-5+/-0.709e-29 
relative error                   0.654304627525478648341450665038075686e-4+/-0.52e-28%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.1e-2+/-0.5e-33 
Radius of convergence (given) for eq  1           0.412000000000000000000000000000003543e1+/-0.129e-27 
Order of pole (given)                             0.5e0+/-0.50e-33 
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!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =  exp ( sqrt ( 0.1  *  x  +  0.2 )  )  ; 
Iterations                      121 
Total Elapsed Time              3 Minutes 5 Seconds
Elapsed Time(since restart)     3 Minutes 4 Seconds
Expected Time Remaining         22 Minutes 11 Seconds
Optimized Time Remaining        22 Minutes 4 Seconds
Expected Total Time             25 Minutes 9 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.122e2+/-0.621e-29%