##############ECHO OF PROBLEM#################
##############temp/expt_sin_sin_newpostode.ode#################
diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) );
!
#BEGIN FIRST INPUT BLOCK
# Digits:=32; ELIMINATED in preodein.rb
max_terms=30 
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start=1.8 
x_end=1.81 
$array_y_init[0 + 1] = exact_soln_y(x_start)
$glob_look_poles=true 
$glob_max_iter=1000000 
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE  BLOCK
$glob_desired_digits_correct=10 
$glob_display_interval=0.001 
$glob_look_poles=true 
$glob_max_iter=10000000 
$glob_max_minutes=3 
$glob_subiter_method=3 
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
def exact_soln_y (x)
return(expt(sin(2.0*x+3.0),sin(x+1.0))) 
end
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size                      0.0
min_size                      1.0
opt_iter                        1
$glob_desired_digits_correct  10
desired_abs_gbl_error         1.0e-10
range                         0.010000000000000009
estimated_steps               10.000000000000009
step_error                    9.999999999999991e-12
est_needed_step_err           9.999999999999991e-12
hn_div_ho                     0.5
hn_div_ho_2                   0.25
hn_div_ho_3                   0.125
value3                        1.1431017181350285e-59
max_value3                    1.1431017181350285e-59
value3                        1.1431017181350285e-59
best_h                        0.001
START of Soultion
 
TOP MAIN SOLVE Loop
x[1]                             1.8 
y[1] (analytic)                  0.6766027626496453 
y[1] (numeric)                   0.6766027626496453 
absolute error                   0.0 
relative error                   0.0%
Correct digits                   16 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.801 
y[1] (analytic)                  0.6787237979586986 
y[1] (numeric)                   0.6787201504758374 
absolute error                   3.647482861190987e-06 
relative error                   0.0005374031192306803%
Correct digits                   5 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8019999999999998 
y[1] (analytic)                  0.6808347093191602 
y[1] (numeric)                   0.6808274700688374 
absolute error                   7.2392503228657645e-06 
relative error                   0.0010632904321380837%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8029999999999997 
y[1] (analytic)                  0.6829355457266133 
y[1] (numeric)                   0.6829247695960937 
absolute error                   1.0776130519585259e-05 
relative error                   0.0015779132579956622%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8039999999999996 
y[1] (analytic)                  0.6850263555271954 
y[1] (numeric)                   0.6850120965906888 
absolute error                   1.4258936506528208e-05 
relative error                   0.0020815164834869088%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8049999999999995 
y[1] (analytic)                  0.687107186433478 
y[1] (numeric)                   0.6870894979668289 
absolute error                   1.7688466649068424e-05 
relative error                   0.002574338763779023%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8059999999999994 
y[1] (analytic)                  0.6891780855398592 
y[1] (numeric)                   0.68915702003489 
absolute error                   2.1065504969164373e-05 
relative error                   0.0030566127117438694%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8069999999999993 
y[1] (analytic)                  0.6912390993375453 
y[1] (numeric)                   0.6912147085160344 
absolute error                   2.4390821510955618e-05 
relative error                   0.0035285650846907765%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.8079999999999992 
y[1] (analytic)                  0.6932902737290785 
y[1] (numeric)                   0.6932626085564124 
absolute error                   2.766517266605817e-05 
relative error                   0.003990416960164808%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.808999999999999 
y[1] (analytic)                  0.6953316540424799 
y[1] (numeric)                   0.695300764740963 
absolute error                   3.0889301516845435e-05 
relative error                   0.004442383909500303%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
 
TOP MAIN SOLVE Loop
x[1]                             1.809999999999999 
y[1] (analytic)                  0.6973632850449677 
y[1] (numeric)                   0.6973292211068264 
absolute error                   3.4063938141315475e-05 
relative error                   0.0048846761611659765%
Correct digits                   4 
h                                0.001 
NO POLE for equation 1
Finished!
diff ( y , x , 1 ) = expt ( sin ( 2.0 * x + 3.0 ), sin ( x + 1.0 ) ) * ( ( cos ( x + 1.0 ) * ln ( sin ( 2.0 * x + 3.0 ) )) + ( ( 2.0 * sin ( x + 1.0 ) * cos ( 2.0 * x + 3.0 ) ) / sin( 2.0 * x + 3.0 ) ) );
Iterations                       11 
Total Elapsed Time              0.0 Seconds
Elapsed Time(since restart)     0.0 Seconds
Time to Timeout                 3 Minutes 0.0 Seconds
Percent Done                    119.99999999998667%