catch one's breath vs intermit

catch one's breath and intermit both are verbs.

Word	Noun	Adjective	Verb	Adverb
catch one's breath	No	No	Yes	No
intermit	No	No	Yes	No

As verbs, intermit is a hypernym of catch one's breath; that is, intermit is a word with a broader meaning than catch one's breath:

catch one's breath: take a short break from one's activities in order to relax
intermit: cease an action temporarily

Other hypernyms of catch one's breath include break, pause.

catch one's breath (verb)	intermit (verb)
take a short break from one's activities in order to relax	cease an action temporarily