As of the master branch today (1.15.0), np.product
just uses np.prod
, and may be deprecated eventually. See MAINT: Remove duplicate implementation for aliased functions. #10653.
And np.prod
and ndarray.prod
both end up calling umath.multiply.reduce
, so there is really no difference between them, besides the fact that the free functions can accept array-like types (like Python lists) in addition to NumPy arrays.
Prior to this, like in NumPy 1.14.2, the documentation claimed np.product
and np.prod
were the same, but there were bugs because of the duplicated implementation that Parag mentions. i.e. Eric Weiser's example from #10651:
>>> class CanProd(object):
def prod(self, axis, dtype, out): return "prod"
>>> np.product(CanProd())
<__main__.CanProd object at 0x0000023BAF7B29E8>
>>> np.prod(CanProd())
'prod'
So in short, now they're the same, and favor np.prod
over np.product
since the latter is an alias that may be deprecated.