[Haskell-beginners] division / multiplication efficiency

[Christopher Howard]

Say I have functions like so:

code:
--------
circleRadians = 2 * pi

radius = (/ circleRadians)
--------

My question: each time I call radius, will a division operation be
performed? Is there anything to be gained, following the old adage that
multiplication is more efficient than division in hardware, from
something like:

code:
--------
radius = (* (1 / circleRadians))
--------

...imagining that the compiler (or runtime graph reduction mechanism)
will transform (1 / circleRadians) into a single number (s) only once,
and use (* s) in all applications of radius?

-- 
frigidcode.com

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