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/lin_arcsinpostode.ode#################
diff  (  y  ,  x  ,  1  )   =   arcsin  ( 0.1  *  x  +  0.2 )   ; 
!
#BEGIN FIRST INPUT BLOCK
max_terms=30 
# Digits:=32; ELIMINATED in preodein.rb
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=c(-0.8) 
x_end=c(0.8) 
$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=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(10.0) *  (c(0.1) * c(x) + c(0.2)) * arcsin(c(0.1) * c(x) + c(0.2) )+c(10.0) * sqrt(c(1.0) - expt((c(0.1) * c(x) + c(0.2)) , c(2) ))) 
end

#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Soultion
 
 
TOP MAIN SOLVE Loop
x[1]                             -0.8e0+/-0.50e-30 
y[1] (closed_form)               0.1007208677566643096249101091882229e2+/-0.371e-28 
y[1] (numeric)                   0.1007208677566643096249101091882229e2+/-0.376e-28 
absolute error                   0.0e0+/-0.747e-28 
relative error                   0.0e0+/-0.7416536579139767229538597313475814e-27%
Desired digits                   8 
Estimated correct digits         14 
Correct digits                   32 
h                                0.5e-1+/-0.1e-100 
NO INFO (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-30 
y[1] (closed_form)               0.1008461961211218380882888527310788e2+/-0.386e-28 
y[1] (numeric)                   0.1008461955934037234398146100881473e2+/-0.401e-28 
absolute error                   0.5277181146484742426429315e-7+/-0.787e-28 
relative error                   0.5232900545050362733495896836544428e-6+/-0.78e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   9 
h                                0.5e-1+/-0.1e-100 
NO INFO (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-30 
y[1] (closed_form)               0.1009816101618304879228594713820123e2+/-0.401e-28 
y[1] (numeric)                   0.1009816090615056158170475384518206e2+/-0.431e-28 
absolute error                   0.11003248721058119329301917e-6+/-0.832e-28 
relative error                   0.1089628963474101932808613697996111e-5+/-0.823e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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-30 
y[1] (closed_form)               0.10112712375807623295408891601963e2+/-0.414e-28 
y[1] (numeric)                   0.1011271220397151427893710991266232e2+/-0.456e-28 
absolute error                   0.17183610901647178168930068e-6+/-0.870e-28 
relative error                   0.1699208902920553742651584413598054e-5+/-0.86e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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-30 
y[1] (closed_form)               0.1012827518812550973140262187520663e2+/-0.423e-28 
y[1] (numeric)                   0.1012827494988402154496173935669659e2+/-0.476e-28 
absolute error                   0.23824148818644088251851004e-6+/-0.899e-28 
relative error                   0.2352241460280992027285053428049213e-5+/-0.887e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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-30 
y[1] (closed_form)               0.1014485106091358281497195029633502e2+/-0.435e-28 
y[1] (numeric)                   0.1014485075160125755899322244969222e2+/-0.506e-28 
absolute error                   0.3093123252559787278466428e-6+/-0.941e-28 
relative error                   0.3048958761432264581384756247141851e-5+/-0.927e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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-30 
y[1] (closed_form)               0.1016244171413013586294157244102657e2+/-0.442e-28 
y[1] (numeric)                   0.1016244132901275085125406585725153e2+/-0.541e-28 
absolute error                   0.38511738501168750658377504e-6+/-0.983e-28 
relative error                   0.3789614699351336016849439446002931e-5+/-0.967e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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]                             -0.1e0+/-0.5e-30 
y[1] (closed_form)               0.1018104898158115621693463456266603e2+/-0.446e-28 
y[1] (numeric)                   0.101810485158504684236572889408041e2+/-0.556e-28 
absolute error                   0.46573068779327734562186193e-6+/-0.1e-27 
relative error                   0.4574486269890704047793155757898576e-5+/-0.982e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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]                             0.0e0+/-0.50000000000000000000000000000000000000000000000000000000000000000000001e-30 
y[1] (closed_form)               0.1020067481271337397569938740325817e2+/-0.241e-28 
y[1] (numeric)                   0.1020067426148165582085250279145924e2+/-0.581e-28 
absolute error                   0.55123171815484688461179893e-6+/-0.822e-28 
relative error                   0.5403875020776390636834079041999011e-5+/-0.805e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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]                             0.1e0+/-0.2e-100 
y[1] (closed_form)               0.1022132127453914852409953387063241e2+/-0.273e-28 
y[1] (numeric)                   0.1022132063283349644450372576154463e2+/-0.601e-28 
absolute error                   0.64170565207959580810908778e-6+/-0.874e-28 
relative error                   0.6278108620634552594531537329896425e-5+/-0.855e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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+/-0.4e-100 
y[1] (closed_form)               0.1024299055369870670092477809970049e2+/-0.31e-28 
y[1] (numeric)                   0.1024298981645510262983922566770799e2+/-0.611e-28 
absolute error                   0.7372436040710855524319925e-6+/-0.921e-28 
relative error                   0.7197542555624729768252964911050246e-5+/-0.899e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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+/-0.6e-100 
y[1] (closed_form)               0.1026568495866572799450877502497292e2+/-0.345e-28 
y[1] (numeric)                   0.1026568412072283240820373227996455e2+/-0.621e-28 
absolute error                   0.83794289558630504274500837e-6+/-0.966e-28 
relative error                   0.8162561962112032531498458041169339e-5+/-0.94e-27%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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+/-0.8e-100 
y[1] (closed_form)               0.1028940692210278935107872082720294e2+/-0.383e-28 
y[1] (numeric)                   0.1028940597819544291824814640609464e2+/-0.651e-28 
absolute error                   0.9439073464328305744211083e-6+/-0.103e-27 
relative error                   0.9173583604757750559134839532593303e-5+/-0.1e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   8 
h                                0.5e-1+/-0.1e-100 
NO INFO (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+/-0.10e-99 
y[1] (closed_form)               0.1031415900337373884666230709193954e2+/-0.43e-28 
y[1] (numeric)                   0.103141579481261479204165960569865e2+/-0.676e-28 
absolute error                   0.105524759092624571103495304e-5+/-0.11e-27 
relative error                   0.1023105801045995638143167780815923e-4+/-0.106e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.5e-1+/-0.1e-100 
NO INFO (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+/-0.12e-99 
y[1] (closed_form)               0.1033994389122066784125051750952265e2+/-0.473e-28 
y[1] (numeric)                   0.1033994271913924704431956928358342e2+/-0.716e-28 
absolute error                   0.117208142079693094822593923e-5+/-0.118e-27 
relative error                   0.1133547176974634907500077969958551e-4+/-0.114e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.5e-1+/-0.1e-100 
NO INFO (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+/-0.14e-99 
y[1] (closed_form)               0.1036676440661380000122881767337974e2+/-0.514e-28 
y[1] (numeric)                   0.1036676311207964295134968228178154e2+/-0.756e-28 
absolute error                   0.12945341570498791353915982e-5+/-0.127e-27 
relative error                   0.1248735001852642450052063276773344e-4+/-0.122e-26%
Desired digits                   8 
Estimated correct digits         13 
Correct digits                   7 
h                                0.5e-1+/-0.1e-100 
NO INFO (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  )   =   arcsin  ( 0.1  *  x  +  0.2 )   ; 
Iterations                      32 
Total Elapsed Time              59 Seconds
Elapsed Time(since restart)     58 Seconds
Time to Timeout                 19 Minutes 1 Seconds
Percent Done                    0.103125e3+/-0.718e-28%