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/add_full_linpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   sin ( 0.3  *  x  +  0.1 )   +   ( 0.1  *  x  +  0.2 )   ; 
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=40 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(1.0) 
x_end=c(5.0) 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_display_interval=c(0.1) 
$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(0.05) * c(x) * c(x) + c(0.2) * c(x) - cos(c(0.3) * c(x) + c(0.1)) / c(0.3)) 

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)               -0.282020331334295027599508910683933e1+/-0.837e-30 
y[1] (numeric)                   -0.282020331334295027599508910683933e1+/-0.111e-29 
absolute error                   0.0e0+/-0.1947e-29 
relative error                   0.0e0+/-0.6903757579421138149955195222171557e-28%
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)               -0.274938583224961707491970159221148e1+/-0.873e-30 
y[1] (numeric)                   -0.274938583224961707491955297816421e1+/-0.219e-29 
absolute error                   0.14861404727e-21+/-0.306e-29 
relative error                   0.5405354371394291542602280574709115e-20+/-0.111e-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)               -0.267484165841841747512129967833468e1+/-0.919e-30 
y[1] (numeric)                   -0.26748416584184174751209921901632e1+/-0.325e-29 
absolute error                   0.30748817148e-21+/-0.416e-29 
relative error                   0.1149556537345884814290772061901253e-19+/-0.155e-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)               -0.259660952870040498568489386378886e1+/-0.952e-30 
y[1] (numeric)                   -0.259660952870040498568441738439222e1+/-0.429e-29 
absolute error                   0.47647939664e-21+/-0.524e-29 
relative error                   0.1835005962095796744448593346294633e-19+/-0.201e-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)               -0.251473059892549966795949190662837e1+/-0.1e-29 
y[1] (numeric)                   -0.251473059892549966795883647098633e1+/-0.527e-29 
absolute error                   0.65543564204e-21+/-0.627e-29 
relative error                   0.2606385122605404204993150047630653e-19+/-0.249e-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)               -0.242924840686501914268327265872591e1+/-0.104e-29 
y[1] (numeric)                   -0.242924840686501914268242846286676e1+/-0.626e-29 
absolute error                   0.84419585915e-21+/-0.730e-29 
relative error                   0.3475131883443106557902476342324818e-19+/-0.3e-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)               -0.234020883305062311552629109350006e1+/-0.109e-29 
y[1] (numeric)                   -0.234020883305062311552524850332355e1+/-0.72e-29 
absolute error                   0.104259017651e-20+/-0.829e-29 
relative error                   0.4455115978478348111225364817077607e-19+/-0.354e-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)               -0.22476600594849317263358219288494e1+/-0.114e-29 
y[1] (numeric)                   -0.224766005948493172633457148879677e1+/-0.812e-29 
absolute error                   0.125044005263e-20+/-0.926e-29 
relative error                   0.5563297026849103594206422081636535e-19+/-0.411e-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)               -0.215165252628097537862036926420108e1+/-0.12e-29 
y[1] (numeric)                   -0.215165252628097537861890170576443e1+/-0.902e-29 
absolute error                   0.146755843665e-20+/-0.102e-28 
relative error                   0.6820610757196014051050679014269919e-19+/-0.474e-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)               -0.205223888626949761767647381612705e1+/-0.126e-29 
y[1] (numeric)                   -0.205223888626949761767478006619037e1+/-0.986e-29 
absolute error                   0.169374993668e-20+/-0.111e-28 
relative error                   0.8253181186712874386071148306450058e-19+/-0.54e-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)               -0.194947395761496142085286663397288e1+/-0.131e-29 
y[1] (numeric)                   -0.194947395761496142085093782297723e1+/-0.104e-28 
absolute error                   0.192881099565e-20+/-0.117e-28 
relative error                   0.9894007499385931571205241558630927e-19+/-0.6e-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)               -0.184341467448290129596710719516778e1+/-0.138e-29 
y[1] (numeric)                   -0.184341467448290129596493466509333e1+/-0.104e-28 
absolute error                   0.217253007445e-20+/-0.117e-28 
relative error                   0.1178535738335390707980383740006388e-18+/-0.634e-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)               -0.173412003580301724113229455555668e1+/-0.144e-29 
y[1] (numeric)                   -0.173412003580301724112986986771432e1+/-0.104e-28 
absolute error                   0.242468784236e-20+/-0.118e-28 
relative error                   0.1398223763234015234223510057039411e-18+/-0.68e-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)               -0.162165105217412032304260287028317e1+/-0.15e-29 
y[1] (numeric)                   -0.162165105217412032303991781290874e1+/-0.104e-28 
absolute error                   0.268505737443e-20+/-0.119e-28 
relative error                   0.1655755330858749596711242859455362e-18+/-0.733e-27%
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)               -0.150607069095871183888852659478976e1+/-0.157e-29 
y[1] (numeric)                   -0.150607069095871183888557319043413e1+/-0.104e-28 
absolute error                   0.295340435563e-20+/-0.119e-28 
relative error                   0.1960999821163750458082435032233773e-18+/-0.79e-27%
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)               -0.138744381961660723465138676487155e1+/-0.165e-29 
y[1] (numeric)                   -0.138744381961660723464815727757973e1+/-0.104e-28 
absolute error                   0.322948729182e-20+/-0.12e-28 
relative error                   0.2327652656027834834109215345876592e-18+/-0.864e-27%
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)               -0.126583714732860069338499535240697e1+/-0.17e-29 
y[1] (numeric)                   -0.126583714732860069338148229468001e1+/-0.104e-28 
absolute error                   0.351305772696e-20+/-0.121e-28 
relative error                   0.2775284114843597424876354030514904e-18+/-0.955e-27%
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)               -0.114131916496270515507059408724892e1+/-0.148e-29 
y[1] (numeric)                   -0.114131916496270515506679022678209e1+/-0.104e-28 
absolute error                   0.380386046683e-20+/-0.118e-28 
relative error                   0.3332863044452862237193587459292056e-18+/-0.103e-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)               -0.101396008343699409986996605074672e1+/-0.191e-29 
y[1] (numeric)                   -0.101396008343699409986586441693813e1+/-0.104e-28 
absolute error                   0.410163380859e-20+/-0.123e-28 
relative error                   0.4045162995654423249999576088386838e-18+/-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]                             0.29e1+/-0.5e-31 
y[1] (closed_form)               -0.88383177053451437678842584949954e0+/-0.2e-29 
y[1] (numeric)                   -0.883831770534514376784019739723243e0+/-0.104e-28 
absolute error                   0.4406109776297e-20+/-0.124e-28 
relative error                   0.4985235791685016932197547528668518e-18+/-0.14e-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)               -0.751007686227132391336455358143254e0+/-0.21e-29 
y[1] (numeric)                   -0.751007686227132391331738343781099e0+/-0.104e-28 
absolute error                   0.4717014362155e-20+/-0.125e-28 
relative error                   0.6280913562752007684132490932230041e-18+/-0.166e-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)               -0.615562816566517825111674332791169e0+/-0.219e-29 
y[1] (numeric)                   -0.615562816566517825106640265018146e0+/-0.104e-28 
absolute error                   0.5034067773023e-20+/-0.125e-28 
relative error                   0.8177991973430087390840153191736927e-18+/-0.203e-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)               -0.477573606201758539728791799854701e0+/-0.229e-29 
y[1] (numeric)                   -0.477573606201758539723434815172474e0+/-0.104e-28 
absolute error                   0.5356984682227e-20+/-0.126e-28 
relative error                   0.1121708698441734426590802809598759e-17+/-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)               -0.337117889584336256759656912917145e0+/-0.24e-29 
y[1] (numeric)                   -0.337117889584336256753971438430795e0+/-0.104e-28 
absolute error                   0.568547448635e-20+/-0.128e-28 
relative error                   0.1686494446604464078218045505998407e-17+/-0.379e-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)               -0.194274820922373892046629313203754e0+/-0.252e-29 
y[1] (numeric)                   -0.194274820922373892040610071637017e0+/-0.104e-28 
absolute error                   0.6019241566737e-20+/-0.129e-28 
relative error                   0.3098312760325281477450524682221062e-17+/-0.664e-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]                             0.35e1+/-0.5e-31 
y[1] (closed_form)               -0.49124802947190993841922396033062e-1+/-0.264e-29 
y[1] (numeric)                   -0.491248029471909938355644104775156e-1+/-0.104e-28 
absolute error                   0.63579855555464e-20+/-0.13e-28 
relative error                   0.1294251615091711238241099177020191e-16+/-0.264e-25%
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]                             0.36e1+/-0.5e-31 
y[1] (closed_form)               0.98250585443727423234668444290784e-1+/-0.276e-29 
y[1] (numeric)                   0.9825058544372742324136984589683691e-1+/-0.104e-28 
absolute error                   0.670140160605291e-20+/-0.131e-28 
relative error                   0.6820724350687057581139846523623272e-17+/-0.133e-25%
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]                             0.37e1+/-0.5e-31 
y[1] (closed_form)               0.247768662602232204323297621117367e0+/-0.288e-29 
y[1] (numeric)                   0.2477686626022322043303468017843553e0+/-0.104e-28 
absolute error                   0.70491806669883e-20+/-0.132e-28 
relative error                   0.2845065470731080390293753399054527e-17+/-0.532e-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)               0.399345718537412544741021947675398e0+/-0.301e-29 
y[1] (numeric)                   0.399345718537412544748422957436074e0+/-0.104e-28 
absolute error                   0.7401009760676e-20+/-0.134e-28 
relative error                   0.1853283863360773541244817562733318e-17+/-0.335e-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)               0.552897090248937554829543279706806e0+/-0.316e-29 
y[1] (numeric)                   0.5528970902489375548372998519714831e0+/-0.104e-28 
absolute error                   0.77565722646771e-20+/-0.135e-28 
relative error                   0.1402896199215800630253920777132761e-17+/-0.244e-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)               0.708337237918041976673386302357095e0+/-0.315e-29 
y[1] (numeric)                   0.7083372379180419766815018505538333e0+/-0.104e-28 
absolute error                   0.81155481967383e-20+/-0.135e-28 
relative error                   0.1145718135699270964618360509741686e-17+/-0.19e-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)               0.8655798218875893082807167132980704e0+/-0.345e-29 
y[1] (numeric)                   0.8655798218875893082891943278008212e0+/-0.104e-28 
absolute error                   0.84776145027508e-20+/-0.138e-28 
relative error                   0.9794145251980893152768418283878135e-18+/-0.159e-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]                             0.42e1+/-0.5e-31 
y[1] (closed_form)               0.1024537780361935474413415825360476e1+/-0.349e-29 
y[1] (numeric)                   0.1024537780361935474422258270707955e1+/-0.104e-28 
absolute error                   0.8842445347479e-20+/-0.138e-28 
relative error                   0.863066791383257249342465635473561e-18+/-0.134e-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]                             0.43e1+/-0.5e-31 
y[1] (closed_form)               0.1185123407756668411346122607319816e1+/-0.353e-29 
y[1] (numeric)                   0.1185123407756668411355332319727602e1+/-0.104e-28 
absolute error                   0.9209712407786e-20+/-0.139e-28 
relative error                   0.7771099910362207685612130107357272e-18+/-0.117e-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]                             0.44e1+/-0.5e-31 
y[1] (closed_form)               0.1347248433627714088376726323413612e1+/-0.383e-29 
y[1] (numeric)                   0.1347248433627714088386305408581742e1+/-0.104e-28 
absolute error                   0.957908516813e-20+/-0.142e-28 
relative error                   0.711011045107438139432299513656248e-18+/-0.105e-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]                             0.45e1+/-0.5e-31 
y[1] (closed_form)               0.1510824102108778098223777909173248e1+/-0.410e-29 
y[1] (numeric)                   0.1510824102108778098233728140391162e1+/-0.104e-28 
absolute error                   0.9950231217914e-20+/-0.145e-28 
relative error                   0.6585962723275109295277472553856664e-18+/-0.959e-27%
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]                             0.46e1+/-0.5e-31 
y[1] (closed_form)               0.1675761251785634480745911531173847e1+/-0.422e-29 
y[1] (numeric)                   0.1675761251785634480756234347724621e1+/-0.104e-28 
absolute error                   0.10322816550774e-19+/-0.146e-28 
relative error                   0.616007592953611740109600141101696e-18+/-0.871e-27%
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]                             0.47e1+/-0.5e-31 
y[1] (closed_form)               0.1841970395935380311394681616945995e1+/-0.443e-29 
y[1] (numeric)                   0.1841970395935380311405378122811042e1+/-0.104e-28 
absolute error                   0.10696505865047e-19+/-0.148e-28 
relative error                   0.5807099771337613277756420661004284e-18+/-0.803e-27%
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]                             0.48e1+/-0.5e-31 
y[1] (closed_form)               0.2009361803058446141258410643078652e1+/-0.464e-29 
y[1] (numeric)                   0.2009361803058446141269481605944232e1+/-0.105e-28 
absolute error                   0.1107096286558e-19+/-0.151e-28 
relative error                   0.5509691111241841305680552858965555e-18+/-0.751e-27%
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]                             0.49e1+/-0.5e-31 
y[1] (closed_form)               0.2177845577630888915048638221182126e1+/-0.483e-29 
y[1] (numeric)                   0.2177845577630888915060084071748474e1+/-0.107e-28 
absolute error                   0.11445850566348e-19+/-0.155e-28 
relative error                   0.5255584089115750127434714270985213e-18+/-0.711e-27%
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
Finished!
diff  (  y  ,  x  ,  1  )   =   sin ( 0.3  *  x  +  0.1 )   +   ( 0.1  *  x  +  0.2 )   ; 
Iterations                      80 
Total Elapsed Time              1 Minutes 38 Seconds
Elapsed Time(since restart)     1 Minutes 38 Seconds
Time to Timeout                 18 Minutes 22 Seconds
Percent Done                    0.10125e3+/-0.1e-28%