Rather, 'compute' is a verb, 'computation' is a noun, and 'computationally' is an adverb (which is the most appropriate choice in the context of GGP's statement). All of these words refer to the same concept and may involve hardware computers (a more modern use of these words) or people-as-computers (the older, but still valid, use of the words).
Digging more into other internet discussions, a lot of people disagree about the usage. Many believe it's fine to use compute as a noun since it's a truncation of compute resources or compute nodes. Seems like an industry shibboleth like how data/stats people say "data" as a countable plural.
"Compute" as used upthread is in fact a noun. That's the point, it's a new word. And sort of a dumb one, but new nonetheless.
I think Compute is a gerund (a noun derived from a verb, like “swimming” as in the activity.)
Thank you! I always just assumed the difference was verb/noun.