Hi!
latexdiff makes some effort to add some braces where needed to be able to process inputs such as \frac ab instead of \frac{a}{b}. amsmath declares several “frac-like” commands; they should be processed in the same way.
The attached patch, against 83bfbe7, makes latexdiff process \tfrac, \dfrac, \binom, \tbinom, \dbinom in the same way as it processes \frac.