watch over vs check out

watch over and check out both are verbs.

Word	Noun	Adjective	Verb	Adverb
watch over	No	No	Yes	No
check out	No	No	Yes	No

As verbs, check out is a hypernym of watch over; that is, check out is a word with a broader meaning than watch over:

Other hypernyms of watch over include check, check into, check over, check up on, go over, look into, suss out.

watch over (verb)	check out (verb)
follow with the eyes or the mind	examine so as to determine accuracy, quality, or condition
	announce one's departure from a hotel
	try to learn someone's opinions and intentions
	record, add up, and receive payment for items purchased
	withdraw money by writing a check
	trace
	be verified or confirmed; pass inspection