My Math::Symbolic module uses code generation to "compile" the function that a Math::Symbolic tree represents to Perl code and/or an anonymous sub. The LaTeX dumper generates LaTeX on the fly, too. For example: (untested)

use Math::Symbolic qw/:all/;
my $function = parse_from_string(
    'partial_derivative(A*sin(omega*t), t)'
);

my ($closure) = $function->apply_derivatives()->to_sub();
print $closure->(5, 3, 1); # A=5, omega=3, t=1

my ($code) = $function->apply_derivatives()->to_code();

print $function->to_latex(replace_default_greek => 1);
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Nonetheless, it's usually considered a bad idea to generate code if you can do it someway else. Consider using anonymous subs instead. Steffen