print bowl(join'', qw(0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 X 3 4));
53!
[download]

Darn. I noticed elsewhere in the thread about being sure to not count the bonus balls twice but missed the stuff about there being no good trick to tell whether X\d\d$ is a final frame with bonus balls or just the two final frames (other than counting frames). ):

I really didn't want to hard-code the number of frames because sometimes I'll bowl a "short game" when we run out of time. So here is an entry at 113 strokes that optionally lets you specify how many frames you shortened your game (you can even pass in a negative value for "extra long games"):

sub bowl {
    ($_,$n)=@_;
    s#(\d)(\d|/(?=(.)))|X(?=(..))|.#
    ($3.$4?"X$3$4":$1.$2,"")[9<$n++]#ge;
    s#./#X#g;
    map{(y.X.a.)x hex}split//
}

chomp( @ARGV=<DATA> ) if ! @ARGV;
for my $line ( @ARGV ) {
    print "$line = ", 0+bowl($line), "\n   ";
    for(  0..9  ) {
        print " ",0+bowl($line,9-$_);
    }
    print $/;
}
__END__
81633470434/72813/62
81633470434/72813/X18
X00X00X00X00X00
00X00X00X00X00X00
X11X11X11X11X11
11X11X11X11X11X11
5/63XX7043X4/813/6
[download]

This even allowed me to add a test suite that shows the score at each frame.
        - tye (but my friends call me "Tye")

Awesome. But, um, you can combine the last 2 lines (and return a scalar):  s#./|X#9#g+eval join'+',/./g (and I still don't understand how that `|.' guard is working.)