do up vs wrap up

do up and wrap up both are verbs.

Word	Noun	Adjective	Verb	Adverb
do up	No	No	Yes	No
wrap up	No	No	Yes	No

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

Other hypernyms of do up include wrap.

do up (verb)	wrap up (verb)
use special care in dressing, making-up, etc.	clothe, as if for protection from the elements
wrap for decorative purposes	form a cylinder by rolling
	finish a task completely
	arrange or fold as a cover or protection