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/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=(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(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-31 
y[1] (closed_form)               0.5461333333333333333333333333348282e-1+/-0.681e-30 
y[1] (numeric)                   0.5461333333333333333333333333348282e-1+/-0.683e-30 
absolute error                   0.0e0+/-0.1364e-29 
relative error                   0.0e0+/-0.249755859375000000000000000005545e-26%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.2e0+/-0.5e-31 
y[1] (closed_form)               0.6550666666666666666666666666682834e-1+/-0.831e-30 
y[1] (numeric)                   0.6550666666666666666633333333350247e-1+/-0.779e-30 
absolute error                   0.33333333332587e-21+/-0.161e-29 
relative error                   0.5088540606440107877060858945641827e-18+/-0.245e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.3e0+/-0.5e-31 
y[1] (closed_form)               0.7776000000000000000000000000018213e-1+/-0.992e-30 
y[1] (numeric)                   0.7775999999999999999933333333352247e-1+/-0.889e-30 
absolute error                   0.66666666665966e-21+/-0.188e-29 
relative error                   0.8573388202927726337448559670761812e-18+/-0.241e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.4e0+/-0.5e-31 
y[1] (closed_form)               0.9145333333333333333333333333335533e-1+/-0.116e-29 
y[1] (numeric)                   0.9145333333333333333233333333353402e-1+/-0.1e-29 
absolute error                   0.99999999982131e-21+/-0.216e-29 
relative error                   0.109345385605187709578655780726027e-17+/-0.236e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.5e0+/-0.5e-31 
y[1] (closed_form)               0.1066666666666666666666666666666931e0+/-0.138e-29 
y[1] (numeric)                   0.1066666666666666666653333333335364e0+/-0.112e-29 
absolute error                   0.13333333331567e-20+/-0.250e-29 
relative error                   0.124999999983440624999999999999969e-17+/-0.234e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.6e0+/-0.5e-31 
y[1] (closed_form)               0.1234800000000000000000000000000264e0+/-0.161e-29 
y[1] (numeric)                   0.1234799999999999999983333333335391e0+/-0.126e-29 
absolute error                   0.16666666664873e-20+/-0.287e-29 
relative error                   0.1349746247560171687722708130871107e-17+/-0.232e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.7e0+/-0.5e-31 
y[1] (closed_form)               0.1419733333333333333333333333333637e0+/-0.185e-29 
y[1] (numeric)                   0.1419733333333333333313333333335417e0+/-0.141e-29 
absolute error                   0.1999999999822e-20+/-0.326e-29 
relative error                   0.1408715251565082644628099173553417e-17+/-0.229e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.8e0+/-0.5e-31 
y[1] (closed_form)               0.1622266666666666666666666666666997e0+/-0.212e-29 
y[1] (numeric)                   0.1622266666666666666643333333335445e0+/-0.158e-29 
absolute error                   0.23333333331552e-20+/-0.370e-29 
relative error                   0.1438316758335168899482205966959516e-17+/-0.228e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.9e0+/-0.5e-31 
y[1] (closed_form)               0.184320000000000000000000000000034e0+/-0.243e-29 
y[1] (numeric)                   0.1843199999999999999973333333335472e0+/-0.177e-29 
absolute error                   0.26666666664868e-20+/-0.420e-29 
relative error                   0.1446759259161675347222222222221955e-17+/-0.227e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.1e1+/-0.5e-31 
y[1] (closed_form)               0.2083333333333333333333333333333717e0+/-0.277e-29 
y[1] (numeric)                   0.20833333333333333333033333333355e0+/-0.199e-29 
absolute error                   0.29999999998217e-20+/-0.476e-29 
relative error                   0.1439999999914415999999999999999734e-17+/-0.228e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               0.2343466666666666666666666666667065e0+/-0.312e-29 
y[1] (numeric)                   0.2343466666666666666633333333335531e0+/-0.224e-29 
absolute error                   0.33333333331534e-20+/-0.536e-29 
relative error                   0.1422394173796682976786527082384828e-17+/-0.228e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               0.2624400000000000000000000000000407e0+/-0.35e-29 
y[1] (numeric)                   0.2624399999999999999963333333335564e0+/-0.25e-29 
absolute error                   0.36666666664843e-20+/-0.60e-29 
relative error                   0.1397144744126009754610577655844928e-17+/-0.228e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               0.2926933333333333333333333333333793e0+/-0.394e-29 
y[1] (numeric)                   0.2926933333333333333293333333335595e0+/-0.281e-29 
absolute error                   0.39999999998198e-20+/-0.675e-29 
relative error                   0.1366618075740183126822157434402117e-17+/-0.23e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               0.3251866666666666666666666666667092e0+/-0.437e-29 
y[1] (numeric)                   0.3251866666666666666623333333335628e0+/-0.311e-29 
absolute error                   0.43333333331464e-20+/-0.748e-29 
relative error                   0.1332567960908524334741071794661353e-17+/-0.23e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               0.3600000000000000000000000000000498e0+/-0.487e-29 
y[1] (numeric)                   0.3599999999999999999953333333335659e0+/-0.343e-29 
absolute error                   0.46666666664839e-20+/-0.830e-29 
relative error                   0.1296296296245527777777777777777598e-17+/-0.23e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               0.3972133333333333333333333333333868e0+/-0.539e-29 
y[1] (numeric)                   0.397213333333333333328333333333569e0+/-0.369e-29 
absolute error                   0.49999999998178e-20+/-0.908e-29 
relative error                   0.1258769426962287267966835621496255e-17+/-0.228e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               0.4369066666666666666666666666667238e0+/-0.596e-29 
y[1] (numeric)                   0.4369066666666666666613333333335721e0+/-0.393e-29 
absolute error                   0.53333333331517e-20+/-0.989e-29 
relative error                   0.122070312495842742919921874999984e-17+/-0.226e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               0.4791600000000000000000000000000588e0+/-0.656e-29 
y[1] (numeric)                   0.4791599999999999999943333333335753e0+/-0.42e-29 
absolute error                   0.56666666664835e-20+/-0.107e-28 
relative error                   0.1182625149529071708823774939477273e-17+/-0.223e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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-31 
y[1] (closed_form)               0.5240533333333333333333333333333952e0+/-0.718e-29 
y[1] (numeric)                   0.5240533333333333333273333333335787e0+/-0.444e-29 
absolute error                   0.59999999998165e-20+/-0.116e-28 
relative error                   0.1144921636439643547730510889476762e-17+/-0.221e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               0.5716666666666666666666666666667327e0+/-0.784e-29 
y[1] (numeric)                   0.571666666666666666660333333333582e0+/-0.471e-29 
absolute error                   0.63333333331507e-20+/-0.125e-28 
relative error                   0.1107871720084670553935860058308909e-17+/-0.218e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.6220800000000000000000000000000627e0+/-0.428e-29 
y[1] (numeric)                   0.6220799999999999999933333333335854e0+/-0.502e-29 
absolute error                   0.66666666664773e-20+/-0.930e-29 
relative error                   0.1071673525346788194444444444444336e-17+/-0.149e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.6753733333333333333333333333333988e0+/-0.463e-29 
y[1] (numeric)                   0.6753733333333333333263333333335889e0+/-0.532e-29 
absolute error                   0.69999999998099e-20+/-0.995e-29 
relative error                   0.1036463782965949696957732019821035e-17+/-0.147e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.731626666666666666666666666666723e0+/-0.505e-29 
y[1] (numeric)                   0.7316266666666666666593333333335925e0+/-0.563e-29 
absolute error                   0.73333333331305e-20+/-0.106e-28 
relative error                   0.1002332701532270556932497448607591e-17+/-0.144e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.7909200000000000000000000000000661e0+/-0.545e-29 
y[1] (numeric)                   0.7909199999999999999923333333335958e0+/-0.604e-29 
absolute error                   0.76666666664703e-20+/-0.114e-28 
relative error                   0.9693352888370884539523592778029837e-18+/-0.144e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.8533333333333333333333333333334054e0+/-0.592e-29 
y[1] (numeric)                   0.8533333333333333333253333333335991e0+/-0.64e-29 
absolute error                   0.79999999998063e-20+/-0.123e-28 
relative error                   0.9374999999773007812499999999999208e-18+/-0.144e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.9189466666666666666666666666667331e0+/-0.635e-29 
y[1] (numeric)                   0.9189466666666666666583333333336025e0+/-0.678e-29 
absolute error                   0.83333333331306e-20+/-0.131e-28 
relative error                   0.9068353622042555969878556608289996e-18+/-0.142e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.9878400000000000000000000000000649e0+/-0.687e-29 
y[1] (numeric)                   0.9878399999999999999913333333336059e0+/-0.717e-29 
absolute error                   0.8666666666459e-20+/-0.14e-28 
relative error                   0.8773350609875080984774862325882157e-18+/-0.141e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.1060093333333333333333333333333402e1+/-0.737e-29 
y[1] (numeric)                   0.1060093333333333333324333333333608e1+/-0.76e-29 
absolute error                   0.8999999999794e-20+/-0.149e-28 
relative error                   0.8489818506352270869231639981384736e-18+/-0.14e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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)               0.113578666666666666666666666666673e1+/-0.793e-29 
y[1] (numeric)                   0.113578666666666666665733333333361e1+/-0.809e-29 
absolute error                   0.933333333312e-20+/-0.16e-28 
relative error                   0.8217505634673178061607813673928918e-18+/-0.14e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.3e1+/-0.5e-31 
y[1] (closed_form)               0.121500000000000000000000000000007e1+/-0.851e-29 
y[1] (numeric)                   0.1214999999999999999990333333333612e1+/-0.872e-29 
absolute error                   0.9666666666458e-20+/-0.172e-28 
relative error                   0.7956104252228806584362139917695014e-18+/-0.141e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.31e1+/-0.5e-31 
y[1] (closed_form)               0.1297813333333333333333333333333347e1+/-0.91e-29 
y[1] (numeric)                   0.1297813333333333333323333333333613e1+/-0.934e-29 
absolute error                   0.9999999999734e-20+/-0.184e-28 
relative error                   0.7705268348607401167091312566778911e-18+/-0.141e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.32e1+/-0.5e-31 
y[1] (closed_form)               0.1384306666666666666666666666666684e1+/-0.975e-29 
y[1] (numeric)                   0.1384306666666666666656333333333613e1+/-0.986e-29 
absolute error                   0.10333333333071e-19+/-0.196e-28 
relative error                   0.7464627298193319399362376352060625e-18+/-0.141e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.33e1+/-0.5e-31 
y[1] (closed_form)               0.1474560000000000000000000000000012e1+/-0.103e-28 
y[1] (numeric)                   0.1474559999999999999989333333333613e1+/-0.102e-28 
absolute error                   0.10666666666399e-19+/-0.205e-28 
relative error                   0.7233796296114773220486111111111052e-18+/-0.139e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.34e1+/-0.5e-31 
y[1] (closed_form)               0.156865333333333333333333333333335e1+/-0.11e-28 
y[1] (numeric)                   0.1568653333333333333322333333333613e1+/-0.106e-28 
absolute error                   0.10999999999737e-19+/-0.216e-28 
relative error                   0.7012384295491461890878800499791678e-18+/-0.137e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               0.1666666666666666666666666666666666e1+/-0.61e-31 
y[1] (numeric)                   0.1666666666666666666655333333333613e1+/-0.11e-28 
absolute error                   0.11333333333053e-19+/-0.11e-28 
relative error                   0.6799999999831800000000000000000002e-18+/-0.66e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.176868000000000000000000000001652e1+/-0.127e-27 
y[1] (numeric)                   0.1768679999999999999988333333333941e1+/-0.134e-28 
absolute error                   0.11666666682579e-19+/-0.14e-27 
relative error                   0.6596256350826039758463939208839942e-18+/-0.791e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.1874773333333333333333333333349614e1+/-0.134e-27 
y[1] (numeric)                   0.1874773333333333333321333333334586e1+/-0.184e-28 
absolute error                   0.12000000015028e-19+/-0.152e-27 
relative error                   0.6400773790446489531178880291250742e-18+/-0.81e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.38e1+/-0.5e-31 
y[1] (closed_form)               0.198502666666666666666666666668464e1+/-0.142e-27 
y[1] (numeric)                   0.1985026666666666666654333333335234e1+/-0.236e-28 
absolute error                   0.12333333349406e-19+/-0.165e-27 
relative error                   0.6213182702535986082470764456508558e-18+/-0.831e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.39e1+/-0.5e-31 
y[1] (closed_form)               0.2099520000000000000000000000017779e1+/-0.151e-27 
y[1] (numeric)                   0.2099519999999999999987333333335933e1+/-0.292e-28 
absolute error                   0.12666666681846e-19+/-0.18e-27 
relative error                   0.6033125038983196159122085047959884e-18+/-0.857e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.4e1+/-0.5e-31 
y[1] (closed_form)               0.2218333333333333333333333333352694e1+/-0.16e-27 
y[1] (numeric)                   0.2218333333333333333320333333336615e1+/-0.35e-28 
absolute error                   0.13000000016079e-19+/-0.195e-27 
relative error                   0.5860255454280540946656649135936833e-18+/-0.879e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.41e1+/-0.5e-31 
y[1] (closed_form)               0.234154666666666666666666666668652e1+/-0.168e-27 
y[1] (numeric)                   0.2341546666666666666653333333337322e1+/-0.41e-28 
absolute error                   0.13333333349198e-19+/-0.209e-27 
relative error                   0.5694241989282582452623906705491078e-18+/-0.892e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.2469240000000000000000000000019834e1+/-0.178e-27 
y[1] (numeric)                   0.2469239999999999999986333333338059e1+/-0.472e-28 
absolute error                   0.13666666681775e-19+/-0.225e-27 
relative error                   0.5534766438975150248659506568778338e-18+/-0.911e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.2601493333333333333333333333354385e1+/-0.188e-27 
y[1] (numeric)                   0.2601493333333333333319333333338763e1+/-0.537e-28 
absolute error                   0.14000000015622e-19+/-0.241e-27 
relative error                   0.5381524463752357620238632170197134e-18+/-0.926e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.2738386666666666666666666666686783e1+/-0.198e-27 
y[1] (numeric)                   0.27383866666666666666523333333395e1+/-0.605e-28 
absolute error                   0.14333333347283e-19+/-0.258e-27 
relative error                   0.5234225510136016827426367836984808e-18+/-0.942e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.2880000000000000000000000000022117e1+/-0.208e-27 
y[1] (numeric)                   0.2879999999999999999985333333340222e1+/-0.676e-28 
absolute error                   0.14666666681895e-19+/-0.275e-27 
relative error                   0.5092592597880208333333333333294224e-18+/-0.954e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               0.3026413333333333333333333333356227e1+/-0.218e-27 
y[1] (numeric)                   0.3026413333333333333318333333340971e1+/-0.748e-28 
absolute error                   0.15000000015256e-19+/-0.292e-27 
relative error                   0.4956361991286495345425388028035341e-18+/-0.964e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               0.3177706666666666666666666666690237e1+/-0.23e-27 
y[1] (numeric)                   0.3177706666666666666651333333341751e1+/-0.822e-28 
absolute error                   0.15333333348486e-19+/-0.312e-27 
relative error                   0.4825282808299696216978282031450228e-18+/-0.981e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               0.3333960000000000000000000000026055e1+/-0.241e-27 
y[1] (numeric)                   0.3333959999999999999984333333342544e1+/-0.899e-28 
absolute error                   0.15666666683511e-19+/-0.33e-27 
relative error                   0.4699116571137926069898859014468549e-18+/-0.989e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               0.3495253333333333333333333333359415e1+/-0.253e-27 
y[1] (numeric)                   0.349525333333333333331733333334335e1+/-0.98e-28 
absolute error                   0.16000000016065e-19+/-0.351e-27 
relative error                   0.4577636723346233367919921874965841e-18+/-0.1e-25%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO POLE (given) for Equation 1
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  )   =   expt (  ( 0.2  *  x  +  0.3 )   ,  2.0 )  ; 
Iterations                      98 
Total Elapsed Time              2 Minutes 2 Seconds
Elapsed Time(since restart)     2 Minutes 2 Seconds
Time to Timeout                 17 Minutes 58 Seconds
Percent Done                    0.1010204081632653061224489795918367e3+/-0.914e-29%