ace vs rack up

ace is a noun but rack up is not a noun.

Word	Noun	Adjective	Verb	Adverb
ace	Yes	Yes	Yes	No
rack up	No	No	Yes	No

As verbs, rack up is a hypernym of ace; that is, rack up is a word with a broader meaning than ace:

Other hypernyms of ace include score, tally.

ace (noun)	rack up (noun)
a serve that the receiver is unable to reach
one of four playing cards in a deck having a single pip on its face
someone who is dazzlingly skilled in any field
the smallest whole number or a numeral representing this number

ace (adjective)	rack up (adjective)
of the highest quality

ace (verb)	rack up (verb)
score an ace against	supply a rack with feed for (horses or other animals)
serve an ace against (someone)	defeat thoroughly
play (a hole) in one stroke	gain points in a game
succeed at easily	place in a rack