Today I was tempted to write "in point of fact" and immediately wondered if this expression differed at all from "in fact" or "as a matter of fact." Dictionaries define one with the others. Ultimately, I chose "in fact" simply because it is more concise, and I doubt that I would ever use "in point of fact" or "as a matter of fact" if they are equivalent.
I understand that "in fact" is much more commonly used (perhaps in part because it can be comfortably used mid-sentence, whereas "in point of fact" and "as a matter of fact" are too clunky or interruptive mid-sentence).
However, does anyone know of a salient difference between these three expressions? Semantic or otherwise? In what circumstances would one sacrifice conciseness and choose "in point of fact" or "as a matter of fact" over "in fact"?