Haskell, O'Caml, Prolog, LISP/Scheme

I am considering learning and using a really powerful programming
language for a new project, which will probably need the utmost in
expressive power.

In spite of the Subject line, I am not really considering Prolog.
However the problem domain will probably have to involve goal-seeking,
backtracking and the other goods (the problem is not well-defined, yet).

Can anyone, who has experience in two or more of the languages listed in
the Subject line, offer wisdom/insight/enlightenment about when should
one of those language be chosen over another language.  What
considrations should I take into account when selecting which language
to invest time in studying and mastering?

Learning two languages and using both to implement different parts of
the project IS an option, if you can offer good reasons to do so (I
already know C++ and Python so they can be suggested as 2nd or even 3rd
language in the project).

Please do not say "language so-and-so is the best one".  Please tell me
your criteria and allow me to decide if my problem meets your criteria
for selecting language so-and-so over its alternatives.
                                      Thanks,
                                           --- Omer
-- 
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My own blog is at http://www.livejournal.com/users/tddpirate/

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