Based on a comment from Andrew Koenig, it is suggested that the lru_cache() offer an option to become type specific so that equal objects of different typed don't get cached to the same entry.

Here's an example:

@lru_cache(typed=True)
def square(x):
    print('squaring', x)
    return x * x

for x in [3, 3.0, 3, 3.0]:
    print(square(x))

Without type specificity, all four calls will return 9 rather than 9. 9.0, 9, 9.0.

First-pass patch attached.