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/sing5_backpostode.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(-0.7) 
x_end=c(-1.0) 
$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
#  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]                             -0.7e0+/-0.50e-30 
y[1] (closed_form)               -0.291545189504373177842565597667636e1+/-0.638e-29 
y[1] (numeric)                   -0.291545189504373177842565597667636e1+/-0.666e-29 
absolute error                   0.0e0+/-0.1304e-28 
relative error                   0.0e0+/-0.4472720000000000000000000000019613e-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           0.7000000000000000000000000000000247e0+/-0.495e-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  0.700000000000003003000000000012733e0+/-0.33e-27 
Order of pole (three term test)                   0.530400000000002249522506299385891e-13+/-0.802e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.65e0+/-0.5e-30 
y[1] (closed_form)               -0.364132908511606736458807464724622e1+/-0.857e-29 
y[1] (numeric)                   -0.364132436899354881357306639877397e1+/-0.912e-29 
absolute error                   0.471612251855101500824847225e-5+/-0.176e-28 
relative error                   0.1295165146657072496640236691656258e-3+/-0.483e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   6 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.6500000000000000000000000000000263e0+/-0.494e-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  0.6500000000000027885000000000118959e0+/-0.268e-27 
Order of pole (three term test)                   0.530400000000002263685917689662052e-13+/-0.701e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.6e0+/-0.5e-30 
y[1] (closed_form)               -0.462962962962962962962962962962961e1+/-0.117e-28 
y[1] (numeric)                   -0.462961561491501083914334059925726e1+/-0.131e-28 
absolute error                   0.1401471461879048628903037235e-4+/-0.248e-28 
relative error                   0.3027178357658745038430560427600012e-3+/-0.535e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   6 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.6000000000000000000000000000002371e0+/-0.497e-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  0.6000000000000025740000000000109383e0+/-0.405e-27 
Order of pole (three term test)                   0.530400000000002256200409527149421e-13+/-0.114e-25 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.55e0+/-0.5e-30 
y[1] (closed_form)               -0.601051840721262208865514650638614e1+/-0.166e-28 
y[1] (numeric)                   -0.601048501273743660559468983659724e1+/-0.19e-28 
absolute error                   0.333944751854830604566697889e-4+/-0.356e-28 
relative error                   0.5556005808984744183478436128237533e-3+/-0.592e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.5500000000000000000000000000002605e0+/-0.496e-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  0.5500000000000023595000000000099919e0+/-0.32e-27 
Order of pole (three term test)                   0.530400000000002245635783507960778e-13+/-0.989e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.5e0+/-0.5e-30 
y[1] (closed_form)               -0.8e1+/-0.244e-28 
y[1] (numeric)                   -0.799992348549990334178184612020958e1+/-0.271e-28 
absolute error                   0.7651450009665821815387979042e-4+/-0.515e-28 
relative error                   0.95643125120822772692349738025e-3+/-0.643e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   6 
h                                0.5e-1+/-0.1e-100 
Radius of convergence (given) for eq  1           0.500000000000000000000000000000312e0+/-0.497e-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  0.5000000000000021450000000000091102e0+/-0.512e-27 
Order of pole (three term test)                   0.530400000000002253981034013615016e-13+/-0.173e-25 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.45e0+/-0.5e-30 
y[1] (closed_form)               -0.109739368998628257887517146776405e2+/-0.248e-28 
y[1] (numeric)                   -0.109737566380739963644122385805295e2+/-0.419e-28 
absolute error                   0.180261788829424339476097111e-3+/-0.667e-28 
relative error                   0.1642635550708129293475934923987515e-2+/-0.607e-27%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                0.5e-1+/-0.1e-100 
SETTING H FOR POLE
Radius of convergence (given) for eq  1           0.4500000000000000000000000000003236e0+/-0.516e-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  0.4500000000000019305000000000082028e0+/-0.759e-29 
Order of pole (three term test)                   0.530400000000002254577074159259794e-13+/-0.933e-26 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.49500000000000019305000000000082e0+/-0.13e-29 
y[1] (closed_form)               -0.824488121702690679883211257557467e1+/-0.652e-28 
y[1] (numeric)                   -0.8244605697562488184236300126819e1+/-0.144e-27 
absolute error                   0.27551946441861459581244875567e-3+/-0.209e-27 
relative error                   0.3341703260073970456070604476282064e-2+/-0.253e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.4950000000000001930500000000011618e0+/-0.129e-28 
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  0.4950000000000023166000000000107317e0+/-0.772e-26 
Order of pole (three term test)                   0.530400000000002268849073732779639e-13+/-0.262e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.54000000000000038610000000000164e0+/-0.208e-29 
y[1] (closed_form)               -0.635065792816134389447746786563249e1+/-0.735e-28 
y[1] (numeric)                   -0.635034133608416872025805206758357e1+/-0.231e-27 
absolute error                   0.31659207717517421941579804892e-3+/-0.304e-27 
relative error                   0.4985185484031174021831785644412303e-2+/-0.478e-26%
Desired digits                   8 
Estimated correct digits         12 
Correct digits                   5 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.5400000000000003861000000000019124e0+/-0.207e-28 
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  0.5400000000000027027000000000131164e0+/-0.882e-26 
Order of pole (three term test)                   0.530400000000002248200607237963091e-13+/-0.277e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.58500000000000057915000000000246e0+/-0.286e-29 
y[1] (closed_form)               -0.499496445146235466370465274691581e1+/-0.49e-28 
y[1] (numeric)                   -0.499462882708134141841504934725354e1+/-0.3e-27 
absolute error                   0.33562438101324528960339966227e-3+/-0.349e-27 
relative error                   0.6719254646847105306405922927038574e-2+/-0.698e-26%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   5 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.5850000000000005791500000000026988e0+/-0.284e-28 
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  0.5850000000000030888000000000156963e0+/-0.889e-26 
Order of pole (three term test)                   0.530400000000002272132579746531467e-13+/-0.257e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.63000000000000077220000000000328e0+/-0.364e-29 
y[1] (closed_form)               -0.399924814134941160204738651987926e1+/-0.694e-28 
y[1] (numeric)                   -0.399890314622698927963797504123282e1+/-0.348e-27 
absolute error                   0.34499512242232240941147864644e-3+/-0.417e-27 
relative error                   0.8626499537633476871482357065794509e-2+/-0.104e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   5 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.6300000000000007722000000000033066e0+/-0.362e-28 
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  0.630000000000003474900000000018061e0+/-0.118e-25 
Order of pole (three term test)                   0.530400000000002249763602176893817e-13+/-0.321e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.6750000000000009652500000000041e0+/-0.442e-29 
y[1] (closed_form)               -0.325153685921860109942590052327484e1+/-0.639e-28 
y[1] (numeric)                   -0.325118700512824600818633239749929e1+/-0.391e-27 
absolute error                   0.34985409035509123956812577555e-3+/-0.454e-27 
relative error                   0.1075965321946764126581765470398052e-1+/-0.139e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.6750000000000009652500000000041267e0+/-0.438e-28 
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  0.6750000000000038610000000000205739e0+/-0.127e-25 
Order of pole (three term test)                   0.530400000000002258848398867747966e-13+/-0.319e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.72000000000000115830000000000492e0+/-0.52e-29 
y[1] (closed_form)               -0.267918381344305977192108196157789e1+/-0.58e-28 
y[1] (numeric)                   -0.267883132462765827319515019984495e1+/-0.426e-27 
absolute error                   0.35248881540149872593176173294e-3+/-0.484e-27 
relative error                   0.1315657453709792314257567999855594e-1+/-0.18e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.7200000000000011583000000000049447e0+/-0.517e-28 
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  0.7200000000000042471000000000229937e0+/-0.138e-25 
Order of pole (three term test)                   0.530400000000002250684759508652633e-13+/-0.326e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.76500000000000135135000000000574e0+/-0.598e-29 
y[1] (closed_form)               -0.223365294114853808942426265103636e1+/-0.522e-28 
y[1] (numeric)                   -0.223329896684513515818954328005063e1+/-0.454e-27 
absolute error                   0.35397430340293123471937098573e-3+/-0.506e-27 
relative error                   0.1584732779573708701717161709169079e-1+/-0.226e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.765000000000001351350000000005763e0+/-0.591e-28 
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  0.7650000000000046332000000000255264e0+/-0.154e-25 
Order of pole (three term test)                   0.530400000000002259585628694822943e-13+/-0.339e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.81000000000000154440000000000656e0+/-0.676e-29 
y[1] (closed_form)               -0.188167642315890998248159250038576e1+/-0.47e-28 
y[1] (numeric)                   -0.188132158206652360368446994606061e1+/-0.476e-27 
absolute error                   0.35484109238637879712255432515e-3+/-0.523e-27 
relative error                   0.1885771049789106129826478724812172e-1+/-0.277e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.8100000000000015444000000000065802e0+/-0.669e-28 
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  0.8100000000000050193000000000280535e0+/-0.138e-25 
Order of pole (three term test)                   0.5304000000000022687895934632656e-13+/-0.287e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.85500000000000173745000000000738e0+/-0.754e-29 
y[1] (closed_form)               -0.159993248284921400906355436010946e1+/-0.422e-28 
y[1] (numeric)                   -0.159957712034483532423897579444917e1+/-0.491e-27 
absolute error                   0.35536250437868482457856566029e-3+/-0.533e-27 
relative error                   0.2221109379227323572322696705133666e-1+/-0.333e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.8550000000000017374500000000073985e0+/-0.745e-28 
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  0.8550000000000054054000000000304971e0+/-0.177e-25 
Order of pole (three term test)                   0.530400000000002265057742168270777e-13+/-0.352e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.9000000000000019305000000000082e0+/-0.832e-29 
y[1] (closed_form)               -0.137174211248284439643347050754494e1+/-0.38e-28 
y[1] (numeric)                   -0.137138642768149908223572829116604e1+/-0.506e-27 
absolute error                   0.3556848013453141977422163789e-3+/-0.544e-27 
relative error                   0.2592942201807357187123826032523821e-1+/-0.396e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.9000000000000019305000000000082166e0+/-0.818e-28 
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  0.9000000000000057915000000000329197e0+/-0.181e-25 
Order of pole (three term test)                   0.530400000000002255741497988848089e-13+/-0.341e-24 
NO COMPLEX POLE (six term test) for Equation 1
 
TOP MAIN SOLVE Loop
x[1]                             -0.94500000000000212355000000000902e0+/-0.91e-29 
y[1] (closed_form)               -0.118496241225167388065435232568008e1+/-0.341e-28 
y[1] (numeric)                   -0.11846065233051483137313140634031e1+/-0.518e-27 
absolute error                   0.35588894652556692303826227698e-3+/-0.552e-27 
relative error                   0.3003377515150917340721998830091962e-1+/-0.465e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.9450000000000021235500000000090379e0+/-0.902e-28 
Order of pole (given)                             0.4e1+/-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]                             -0.99000000000000231660000000000984e0+/-0.988e-29 
y[1] (closed_form)               -0.103061015212835732078462412102148e1+/-0.307e-28 
y[1] (numeric)                   -0.10302541309901764828629675709319e1+/-0.528e-27 
absolute error                   0.35602113818083792165655008958e-3+/-0.558e-27 
relative error                   0.3454469543557312795830484726019234e-1+/-0.541e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   4 
h                                -0.450000000000001930500000000008202e-1+/-0.783e-30 
Radius of convergence (given) for eq  1           0.9900000000000023166000000000098447e0+/-0.979e-28 
Order of pole (given)                             0.4e1+/-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  *  3.0    /  x  /  x  /  x  /  x  ; 
Iterations                      18 
Total Elapsed Time              36 Seconds
Elapsed Time(since restart)     36 Seconds
Expected Time Remaining         0 Seconds
Optimized Time Remaining        0 Seconds
Expected Total Time             36 Seconds
Time to Timeout                 19 Minutes 24 Seconds
Percent Done                    0.0%