Hello,
in any epoch the dataloader will apply a fresh set of random operations “on the fly”. So instead of showing the exact same items at every epoch, you are showing a variant that has been changed in a different way. So after three epochs, you would have seen three random variants of each item in a dataset.
That said: I don’t think your counting method works for estimating the number of samples in the augmented set: The flip will double the number of pictures, but the crop has many potential outcomes. Also you would need to multiply the relative increases. (One might also question whether the augmented samples fully count, but that is a different discussion.)
Best regards
Thomas