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/div_c_exppostode.ode#################
diff  (  y  ,  x  ,  1  )   =   2.0  /  exp ( x )  ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(1.0) 
#  ELIMINATED in preodein.rb
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(-2.0)/exp(c(x))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             0.1e1+/-0.50e-31 
y[1] (closed_form)               -0.735758882342884643191047540322925e0+/-0.33e-30 
y[1] (numeric)                   -0.735758882342884643191047540322925e0+/-0.402e-30 
absolute error                   0.0e0+/-0.732e-30 
relative error                   0.0e0+/-0.9948911492160105561418652145159625e-28%
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]                             0.11e1+/-0.5e-31 
y[1] (closed_form)               -0.665742167396159106577693812862639e0+/-0.304e-30 
y[1] (numeric)                   -0.665742167396159106580684716587061e0+/-0.7e-30 
absolute error                   0.2990903724422e-20+/-0.1e-29 
relative error                   0.449258567490170901673889821359406e-18+/-0.15e-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]                             0.12e1+/-0.5e-31 
y[1] (closed_form)               -0.602388423824404193289955214166452e0+/-0.278e-30 
y[1] (numeric)                   -0.602388423824404193295652399494478e0+/-0.973e-30 
absolute error                   0.5697185328026e-20+/-0.125e-29 
relative error                   0.9457660709772745503360536019617169e-18+/-0.207e-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]                             0.13e1+/-0.5e-31 
y[1] (closed_form)               -0.545063586068025206244666335126705e0+/-0.253e-30 
y[1] (numeric)                   -0.545063586068025206252812265313415e0+/-0.114e-29 
absolute error                   0.814593018671e-20+/-0.139e-29 
relative error                   0.1494491724437700544197018461657653e-17+/-0.255e-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]                             0.14e1+/-0.5e-31 
y[1] (closed_form)               -0.49319392788321295387972247966754e0+/-0.232e-30 
y[1] (numeric)                   -0.493193927883212953890084125829611e0+/-0.13e-29 
absolute error                   0.10361646162071e-19+/-0.153e-29 
relative error                   0.210092735864432844422477970319041e-17+/-0.31e-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]                             0.15e1+/-0.5e-31 
y[1] (closed_form)               -0.44626032029685965786656094152803e0+/-0.211e-30 
y[1] (numeric)                   -0.446260320296859657878927450412346e0+/-0.143e-29 
absolute error                   0.12366508884316e-19+/-0.164e-29 
relative error                   0.2771142385253879662915151566408368e-17+/-0.367e-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]                             0.16e1+/-0.5e-31 
y[1] (closed_form)               -0.403793035989310816970358535286703e0+/-0.193e-30 
y[1] (numeric)                   -0.403793035989310816984539118980133e0+/-0.159e-29 
absolute error                   0.1418058369343e-19+/-0.178e-29 
relative error                   0.3511844541520371215802638464051439e-17+/-0.44e-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]                             0.17e1+/-0.5e-31 
y[1] (closed_form)               -0.365367048105469300447801675517883e0+/-0.176e-30 
y[1] (numeric)                   -0.365367048105469300463623701977715e0+/-0.169e-29 
absolute error                   0.15822026459832e-19+/-0.186e-29 
relative error                   0.4330447023581805827756426501027118e-17+/-0.509e-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]                             0.18e1+/-0.5e-31 
y[1] (closed_form)               -0.330597776443173076593609440864431e0+/-0.16e-30 
y[1] (numeric)                   -0.330597776443173076610916706158868e0+/-0.176e-29 
absolute error                   0.17307265294437e-19+/-0.192e-29 
relative error                   0.5235142680220648889059981316595448e-17+/-0.58e-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]                             0.19e1+/-0.5e-31 
y[1] (closed_form)               -0.299137238445270105282024138207472e0+/-0.146e-30 
y[1] (numeric)                   -0.29913723844527010530067530317418e0+/-0.182e-29 
absolute error                   0.18651164966708e-19+/-0.196e-29 
relative error                   0.62349860096473416093130492584941e-17+/-0.655e-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]                             0.2e1+/-0.5e-31 
y[1] (closed_form)               -0.270670566473225383787998989944971e0+/-0.146e-30 
y[1] (numeric)                   -0.270670566473225383807866165621235e0+/-0.19e-29 
absolute error                   0.19867175676264e-19+/-0.204e-29 
relative error                   0.7339983779961258730770695647590294e-17+/-0.753e-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]                             0.21e1+/-0.5e-31 
y[1] (closed_form)               -0.244912856505963820437294752145256e0+/-0.134e-30 
y[1] (numeric)                   -0.244912856505963820458262219812258e0+/-0.196e-29 
absolute error                   0.20967467667002e-19+/-0.209e-29 
relative error                   0.8561195180250337610252623496465942e-17+/-0.853e-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]                             0.22e1+/-0.5e-31 
y[1] (closed_form)               -0.221606316724667766668288851699882e0+/-0.123e-30 
y[1] (numeric)                   -0.22160631672466776669025190473087e0+/-0.202e-29 
absolute error                   0.21963053030988e-19+/-0.214e-29 
relative error                   0.9910842504672709311848664209503504e-17+/-0.965e-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]                             0.23e1+/-0.5e-31 
y[1] (closed_form)               -0.200517687445607467459881387595977e0+/-0.112e-30 
y[1] (numeric)                   -0.200517687445607467482745283517149e0+/-0.21e-29 
absolute error                   0.22863895921172e-19+/-0.221e-29 
relative error                   0.1140243347728318098596495754331029e-16+/-0.11e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.181435906578825006750344440159385e0+/-0.102e-30 
y[1] (numeric)                   -0.181435906578825006774023452435367e0+/-0.21e-29 
absolute error                   0.23679012275982e-19+/-0.22e-29 
relative error                   0.1305089644187636585523962549245846e-16+/-0.121e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.164169997247797590339057348934322e0+/-0.931e-31 
y[1] (numeric)                   -0.164169997247797590363473908988188e0+/-0.21e-29 
absolute error                   0.24416560053866e-19+/-0.219e-29 
relative error                   0.1487272976986881105481500177686667e-16+/-0.133e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.148547156428667760856421140339953e0+/-0.849e-31 
y[1] (numeric)                   -0.148547156428667760881505061220839e0+/-0.21e-29 
absolute error                   0.25083920880886e-19+/-0.218e-29 
relative error                   0.1688616698154789722512244651448212e-16+/-0.146e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.134411025479499530253103401711933e0+/-0.772e-31 
y[1] (numeric)                   -0.134411025479499530278791175640437e0+/-0.21e-29 
absolute error                   0.25687773928504e-19+/-0.217e-29 
relative error                   0.1911135923326611210018366313147457e-16+/-0.161e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.121620125250435929991242776367883e0+/-0.704e-31 
y[1] (numeric)                   -0.121620125250435930017476939128867e0+/-0.21e-29 
absolute error                   0.26234162760984e-19+/-0.217e-29 
relative error                   0.2157057699699250012537377670606212e-16+/-0.178e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.110046440112814458059893061668352e0+/-0.64e-31 
y[1] (numeric)                   -0.110046440112814458086621617489761e0+/-0.21e-29 
absolute error                   0.26728555821409e-19+/-0.216e-29 
relative error                   0.242884329506780373771764708449224e-16+/-0.196e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.99574136735727885958684831300125e-1+/-0.633e-31 
y[1] (numeric)                   -0.995741367357278859858607324618244e-1+/-0.21e-29 
absolute error                   0.271759011616994e-19+/-0.216e-29 
relative error                   0.2729212831021059660528296655379838e-16+/-0.216e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.900984047871156121366701843566725e-1+/-0.58e-31 
y[1] (numeric)                   -0.9009840478711561216425086032105e-1+/-0.21e-29 
absolute error                   0.275806759643775e-19+/-0.215e-29 
relative error                   0.3061172506832399921630913055911294e-16+/-0.238e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.81524407956732430332158524288852e-1+/-0.529e-31 
y[1] (numeric)                   -0.815244079567324303601054556405713e-1+/-0.21e-29 
absolute error                   0.279469313517193e-19+/-0.215e-29 
relative error                   0.3428044686512978570763422065580839e-16+/-0.263e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.737663348024800108912074094830326e-1+/-0.48e-31 
y[1] (numeric)                   -0.737663348024800109194857424137762e-1+/-0.21e-29 
absolute error                   0.282783329307436e-19+/-0.214e-29 
relative error                   0.3833501150147002767937160711321552e-16+/-0.29e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.667465399206521589648002629418973e-1+/-0.438e-31 
y[1] (numeric)                   -0.667465399206521589933784604217383e-1+/-0.21e-29 
absolute error                   0.28578197479841e-19+/-0.214e-29 
relative error                   0.4281599842301124577592275131280176e-16+/-0.32e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.60394766844637001479572584727241e-1+/-0.399e-31 
y[1] (numeric)                   -0.603947668446370015084221108714476e-1+/-0.21e-29 
absolute error                   0.288495261442066e-19+/-0.213e-29 
relative error                   0.4776825485297557829879937231167258e-16+/-0.352e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.546474448945851216031261248711071e-1+/-0.363e-31 
y[1] (numeric)                   -0.546474448945851216322211593434176e-1+/-0.21e-29 
absolute error                   0.290950344723105e-19+/-0.213e-29 
relative error                   0.5324134463822562739620502682403394e-16+/-0.389e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.494470529406787824055147659668063e-1+/-0.33e-31 
y[1] (numeric)                   -0.494470529406787824348319455608244e-1+/-0.21e-29 
absolute error                   0.293171795940181e-19+/-0.213e-29 
relative error                   0.5929004430090035131437214059562402e-16+/-0.43e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.447415437123311915571666450816461e-1+/-0.301e-31 
y[1] (numeric)                   -0.447415437123311915866848298940196e-1+/-0.21e-29 
absolute error                   0.295181848123735e-19+/-0.213e-29 
relative error                   0.6597489126026290813712935314832476e-16+/-0.476e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.40483822891608776944055087487308e-1+/-0.273e-31 
y[1] (numeric)                   -0.404838228916087769737551493424699e-1+/-0.21e-29 
absolute error                   0.297000618551619e-19+/-0.212e-29 
relative error                   0.7336278971153669216540034090360493e-16+/-0.523e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.366312777774683605874360425464832e-1+/-0.266e-31 
y[1] (numeric)                   -0.366312777774683606173006735554417e-1+/-0.21e-29 
absolute error                   0.298646310089585e-19+/-0.212e-29 
relative error                   0.8152768022558039984577328969591376e-16+/-0.578e-26%
Desired digits                   8 
Estimated correct digits         12 
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)               -0.331453508035224950839673961669028e-1+/-0.244e-31 
y[1] (numeric)                   -0.331453508035224951139809355040708e-1+/-0.21e-29 
absolute error                   0.30013539337168e-19+/-0.212e-29 
relative error                   0.905512797709726928628491801120042e-16+/-0.639e-26%
Desired digits                   8 
Estimated correct digits         11 
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)               -0.299911536409554124239687204574582e-1+/-0.222e-31 
y[1] (numeric)                   -0.299911536409554124541169976218475e-1+/-0.21e-29 
absolute error                   0.301482771643893e-19+/-0.212e-29 
relative error                   0.1005238995649014392982153157397486e-15+/-0.706e-26%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.271371180244018635144611490515356e-1+/-0.202e-31 
y[1] (numeric)                   -0.271371180244018635447313420436195e-1+/-0.21e-29 
absolute error                   0.302701929920839e-19+/-0.212e-29 
relative error                   0.1115453489381766928801233972029485e-15+/-0.781e-26%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.245546798061368823578787724730838e-1+/-0.184e-31 
y[1] (numeric)                   -0.245546798061368823882592794679167e-1+/-0.21e-29 
absolute error                   0.303805069948329e-19+/-0.211e-29 
relative error                   0.1237259342605639881658842105902952e-15+/-0.859e-26%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.222179930764846129922862685738616e-1+/-0.167e-31 
y[1] (numeric)                   -0.22217993076484613022766591806115e-1+/-0.21e-29 
absolute error                   0.304803232322534e-19+/-0.211e-29 
relative error                   0.1371875629240049874172954390038976e-15+/-0.949e-26%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.201036714892671632842661886631003e-1+/-0.152e-31 
y[1] (numeric)                   -0.201036714892671633148368293618994e-1+/-0.21e-29 
absolute error                   0.305706406987991e-19+/-0.211e-29 
relative error                   0.1520649634327738802689844454808256e-15+/-0.104e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.181905542033916341841081485827764e-1+/-0.138e-31 
y[1] (numeric)                   -0.181905542033916342147605119048081e-1+/-0.21e-29 
absolute error                   0.306523633220317e-19+/-0.211e-29 
relative error                   0.16850703381162822317210182110316e-15+/-0.115e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.164594940980400576827240535321489e-1+/-0.126e-31 
y[1] (numeric)                   -0.164594940980400577134503625415817e-1+/-0.21e-29 
absolute error                   0.307263090094328e-19+/-0.211e-29 
relative error                   0.1866783318272922350794968366220863e-15+/-0.128e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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)               -0.148931661418486810364720928402568e-1+/-0.114e-31 
y[1] (numeric)                   -0.148931661418486810672653106745524e-1+/-0.21e-29 
absolute error                   0.307932178342956e-19+/-0.211e-29 
relative error                   0.2067607219378891165895598451852685e-15+/-0.141e-25%
Desired digits                   8 
Estimated correct digits         11 
Correct digits                   18 
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  )   =   2.0  /  exp ( x )  ; 
Iterations                      80 
Total Elapsed Time              1 Minutes 23 Seconds
Elapsed Time(since restart)     1 Minutes 23 Seconds
Time to Timeout                 18 Minutes 37 Seconds
Percent Done                    0.10125e3+/-0.1e-28%