Find the range of a multivariate function with Sympy (Python)

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I am having some troubles looking for several hours how to calculate the range of a multivariate function with sympy.

Let's say I would like to calculate the range of the following function f in sympy:

>>> x,y = symbols('x y')
>>> f = x*y

Plus, assume I know x€[0,1] and y€[-1,1].

Does any method exist to get easily the range of f on account of x's and y's bounds ?

Thank you !

PS : I know the method function_range already exists, but it looks like it works only for monovariate function.

An existing method implemented in sympy A little program that could do what I want

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