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/expt_lin_cpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   expt (  ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(0.1) 
x_end=c(5.0) 
$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=3 
#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=false 
$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(5.0)/c(3.0) * expt((c(0.2) * c(x) + c(0.3)),c(3.0)))  
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e0+/-0.50e-33 
y[1] (closed_form)               0.546133333333333333333333333333348834e-1+/-0.681e-32 
y[1] (numeric)                   0.546133333333333333333333333333348834e-1+/-0.683e-32 
$glob_prec                        0.1e-15+/-0.50e-49%
absolute error                   0.0e0+/-0.1364e-31 
relative error                   0.0e0+/-0.249755859375000000000000000000055197e-28%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   34 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.11e0+/-0.550e-32 
y[1] (closed_form)               0.556437466666666666666666666666683177e-1+/-0.171e-31 
y[1] (numeric)                   0.556437466666666666666666533333349025e-1+/-0.764e-32 
absolute error                   0.133333334152e-25+/-0.247e-31 
relative error                   0.239619619704496294402413832186227174e-22+/-0.443e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.12e0+/-0.105e-31 
y[1] (closed_form)               0.566870400000000000000000000000015906e-1+/-0.28e-31 
y[1] (numeric)                   0.566870399999999999999999733333349221e-1+/-0.861e-32 
absolute error                   0.266666666685e-25+/-0.366e-31 
relative error                   0.470419105822071499940727192670480796e-22+/-0.645e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.13e0+/-0.155e-31 
y[1] (closed_form)               0.577432933333333333333333333333350071e-1+/-0.388e-31 
y[1] (numeric)                   0.577432933333333333333332933333349419e-1+/-0.1e-31 
absolute error                   0.400000000652e-25+/-0.488e-31 
relative error                   0.692721141385077447378015848074226695e-22+/-0.845e-28%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.14e0+/-0.205e-31 
y[1] (closed_form)               0.58812586666666666666666666666668328e-1+/-0.501e-31 
y[1] (numeric)                   0.588125866666666666666666133333349615e-1+/-0.11e-31 
absolute error                   0.533333333665e-25+/-0.611e-31 
relative error                   0.906835362790255328564588441839181592e-22+/-0.103e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   23 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.15e0+/-0.255e-31 
y[1] (closed_form)               0.598950000000000000000000000000017245e-1+/-0.61e-31 
y[1] (numeric)                   0.598949999999999999999999333333349812e-1+/-0.12e-31 
absolute error                   0.666666667433e-25+/-0.73e-31 
relative error                   0.11130589655780949995826028883879803e-21+/-0.121e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.16e0+/-0.305e-31 
y[1] (closed_form)               0.609906133333333333333333333333350572e-1+/-0.731e-31 
y[1] (numeric)                   0.609906133333333333333332533333350011e-1+/-0.13e-31 
absolute error                   0.800000000561e-25+/-0.861e-31 
relative error                   0.131167725136447225977505609606370694e-21+/-0.141e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.17e0+/-0.355e-31 
y[1] (closed_form)               0.620995066666666666666666666666683022e-1+/-0.851e-31 
y[1] (numeric)                   0.62099506666666666666666573333335021e-1+/-0.14e-31 
absolute error                   0.933333332812e-25+/-0.991e-31 
relative error                   0.150296416656235379647675139877650464e-21+/-0.159e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.18e0+/-0.405e-31 
y[1] (closed_form)               0.632217600000000000000000000000017075e-1+/-0.973e-31 
y[1] (numeric)                   0.632217599999999999999998933333350411e-1+/-0.15e-31 
absolute error                   0.1066666666664e-24+/-0.112e-30 
relative error                   0.168718280962757126660187884677676039e-21+/-0.177e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.19e0+/-0.455e-31 
y[1] (closed_form)               0.643574533333333333333333333333352122e-1+/-0.109e-30 
y[1] (numeric)                   0.643574533333333333333332133333350613e-1+/-0.16e-31 
absolute error                   0.1200000001509e-24+/-0.125e-30 
relative error                   0.186458590164174716670993196540400443e-21+/-0.194e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.2e0+/-0.505e-31 
y[1] (closed_form)               0.655066666666666666666666666666684152e-1+/-0.123e-30 
y[1] (numeric)                   0.65506666666666666666666533333335082e-1+/-0.17e-31 
absolute error                   0.1333333333332e-24+/-0.140e-30 
relative error                   0.203541624261958070425401994707912336e-21+/-0.213e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.21e0+/-0.555e-31 
y[1] (closed_form)               0.666694800000000000000000000000016385e-1+/-0.135e-30 
y[1] (numeric)                   0.666694799999999999999998533333351023e-1+/-0.19e-31 
absolute error                   0.1466666665362e-24+/-0.154e-30 
relative error                   0.219990716196076525570620919797179152e-21+/-0.23e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.22e0+/-0.605e-31 
y[1] (closed_form)               0.678459733333333333333333333333353007e-1+/-0.149e-30 
y[1] (numeric)                   0.678459733333333333333331733333351226e-1+/-0.21e-31 
absolute error                   0.1600000001781e-24+/-0.170e-30 
relative error                   0.235828292111022850189291508923735725e-21+/-0.25e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.23e0+/-0.655e-31 
y[1] (closed_form)               0.690362266666666666666666666666684023e-1+/-0.162e-30 
y[1] (numeric)                   0.69036226666666666666666493333335144e-1+/-0.23e-31 
absolute error                   0.1733333332583e-24+/-0.185e-30 
relative error                   0.251075908443286877208623028257428383e-21+/-0.267e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.24e0+/-0.705e-31 
y[1] (closed_form)               0.702403200000000000000000000000018058e-1+/-0.176e-30 
y[1] (numeric)                   0.702403199999999999999998133333351648e-1+/-0.25e-31 
absolute error                   0.186666666641e-24+/-0.201e-30 
relative error                   0.265754294173204222304226404435508267e-21+/-0.286e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.25e0+/-0.755e-31 
y[1] (closed_form)               0.714583333333333333333333333333350983e-1+/-0.19e-30 
y[1] (numeric)                   0.714583333333333333333331333333351855e-1+/-0.27e-31 
absolute error                   0.1999999999128e-24+/-0.217e-30 
relative error                   0.279883381802169096209912536443141775e-21+/-0.303e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.26e0+/-0.805e-31 
y[1] (closed_form)               0.726903466666666666666666666666686663e-1+/-0.205e-30 
y[1] (numeric)                   0.726903466666666666666664533333352058e-1+/-0.29e-31 
absolute error                   0.2133333334605e-24+/-0.234e-30 
relative error                   0.293482344277121803977272727272719199e-21+/-0.321e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.27e0+/-0.855e-31 
y[1] (closed_form)               0.739364400000000000000000000000018228e-1+/-0.22e-30 
y[1] (numeric)                   0.739364399999999999999997733333352264e-1+/-0.317e-31 
absolute error                   0.2266666665964e-24+/-0.251e-30 
relative error                   0.306569624661939363052914097568119876e-21+/-0.339e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.28e0+/-0.905e-31 
y[1] (closed_form)               0.75196693333333333333333333333335331e-1+/-0.235e-30 
y[1] (numeric)                   0.751966933333333333333330933333352465e-1+/-0.347e-31 
absolute error                   0.2400000000845e-24+/-0.269e-30 
relative error                   0.319162970399008679814289706355873836e-21+/-0.357e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.29e0+/-0.955e-31 
y[1] (closed_form)               0.764711866666666666666666666666686311e-1+/-0.251e-30 
y[1] (numeric)                   0.764711866666666666666664133333352675e-1+/-0.377e-31 
absolute error                   0.2533333333636e-24+/-0.288e-30 
relative error                   0.331279458847506660024804113584210312e-21+/-0.376e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.3e0+/-0.1e-30 
y[1] (closed_form)               0.777600000000000000000000000000018798e-1+/-0.265e-30 
y[1] (numeric)                   0.777599999999999999999997333333352884e-1+/-0.407e-31 
absolute error                   0.2666666665914e-24+/-0.305e-30 
relative error                   0.342935528023919753086419753086411462e-21+/-0.392e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.31e0+/-0.1e-30 
y[1] (closed_form)               0.790632133333333333333333333333353051e-1+/-0.268e-30 
y[1] (numeric)                   0.790632133333333333333330533333353094e-1+/-0.437e-31 
absolute error                   0.2799999999957e-24+/-0.311e-30 
relative error                   0.354147002367852154082277792571369917e-21+/-0.393e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.32e0+/-0.1e-30 
y[1] (closed_form)               0.803809066666666666666666666666685075e-1+/-0.27e-30 
y[1] (numeric)                   0.803809066666666666666663733333353301e-1+/-0.467e-31 
absolute error                   0.2933333331774e-24+/-0.316e-30 
relative error                   0.3649291173012396973875056232259385e-21+/-0.393e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.33e0+/-0.1e-30 
y[1] (closed_form)               0.817131600000000000000000000000018595e-1+/-0.273e-30 
y[1] (numeric)                   0.817131599999999999999996933333353512e-1+/-0.497e-31 
absolute error                   0.3066666665083e-24+/-0.322e-30 
relative error                   0.375296545266759968651316385267676615e-21+/-0.394e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.34e0+/-0.1e-30 
y[1] (closed_form)               0.830600533333333333333333333333335553e-1+/-0.276e-30 
y[1] (numeric)                   0.830600533333333333333330133333353712e-1+/-0.527e-31 
absolute error                   0.3199999981841e-24+/-0.328e-30 
relative error                   0.385263415254368566100928741678309153e-21+/-0.394e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.35e0+/-0.1e-30 
y[1] (closed_form)               0.844216666666666666666666666666668886e-1+/-0.28e-30 
y[1] (numeric)                   0.844216666666666666666663333333353732e-1+/-0.557e-31 
absolute error                   0.3333333315154e-24+/-0.335e-30 
relative error                   0.394843343749116538013543126764455164e-21+/-0.396e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.36e0+/-0.1e-30 
y[1] (closed_form)               0.857980800000000000000000000000002311e-1+/-0.281e-30 
y[1] (numeric)                   0.857980799999999999999996533333353752e-1+/-0.587e-31 
absolute error                   0.3466666648559e-24+/-0.339e-30 
relative error                   0.404049443595824055736445384325615522e-21+/-0.395e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.37e0+/-0.1e-30 
y[1] (closed_form)               0.871893733333333333333333333333335719e-1+/-0.286e-30 
y[1] (numeric)                   0.871893733333333333333329733333353772e-1+/-0.617e-31 
absolute error                   0.3599999981947e-24+/-0.347e-30 
relative error                   0.412894352180265699046198749297122694e-21+/-0.397e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
 
TOP MAIN SOLVE Loop
x[1]                             0.38e0+/-0.1e-30 
y[1] (closed_form)               0.885956266666666666666666666666669251e-1+/-0.29e-30 
y[1] (numeric)                   0.885956266666666666666662933333353792e-1+/-0.647e-31 
absolute error                   0.3733333315459e-24+/-0.354e-30 
relative error                   0.421390248697640756383460312262214272e-21+/-0.399e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   22 
h                                0.1e-2+/-0.5e-33 
Finished!
Maximum Time Reached before Solution Completed!
diff  (  y  ,  x  ,  1  )   =   expt (  ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
Iterations                      282 
Total Elapsed Time              3 Minutes 1 Seconds
Elapsed Time(since restart)     3 Minutes 1 Seconds
Expected Time Remaining         49 Minutes 12 Seconds
Optimized Time Remaining        49 Minutes 12 Seconds
Expected Total Time             52 Minutes 13 Seconds
Time to Timeout                  0.0 Seconds
Percent Done                    0.577551020408163265306122448979591836e1+/-0.204e-29%