Why einsum not equal as matmul?

Hi, I try to use torch.einsum to replace torch.matmul in my code for more intuitive, but the results between two op is not exactly equal.

import torch

x = torch.randn(3, 10)
y = torch.einsum('nc,mc->nm', x, x) - torch.matmul(x, x.T)
print(y)
-----------
tensor([[ 0.0000e+00,  0.0000e+00,  0.0000e+00],
        [ 0.0000e+00, -1.9073e-06, -1.1921e-07],
        [ 0.0000e+00, -1.1921e-07,  4.7684e-07]])

Can someone explain to me why the result is unexpected?

I’d say that, given the fact einsum and matmul operates differently, the error is small enough to be considered as the same.