swell vs puff up

swell is a noun but puff up is not a noun.

Word	Noun	Adjective	Verb	Adverb
swell	Yes	Yes	Yes	No
puff up	No	No	Yes	No

As verbs, puff up is a hyponym of swell; that is, puff up is a word with a more specific, narrower meaning than swell:

Other hyponyms of swell include distend, belly, belly out, blow up, puff, puff out, bloat, blister, vesicate.

As verbs, swell and puff up are synonyms defined as:

swell (noun)	puff up (noun)
a crescendo followed by a decrescendo
the undulating movement of the surface of the open sea
a rounded elevation (especially one on an ocean floor)
a man who is much concerned with his dress and appearance

swell (adjective)	puff up (adjective)
excellent

swell (verb)	puff up (verb)
expand abnormally	make larger or distend
cause to become swollen	to swell or cause to enlarge
increase in size, magnitude, number, or intensity	praise extravagantly
come up, as of a liquid	become filled with pride, arrogance, or anger
become filled with pride, arrogance, or anger
come up (as of feelings and thoughts, or other ephemeral things)