eat up vs run down

eat up and run down both are verbs.

Word	Noun	Adjective	Verb	Adverb
eat up	No	No	Yes	No
run down	No	No	Yes	No

As verbs, run down is a hyponym of eat up; that is, run down is a word with a more specific, narrower meaning than eat up:

eat up (verb)	run down (verb)
finish eating all the food on one's plate or on the table	use up all one's strength and energy and stop working
use up (resources or materials)	injure or kill by knocking (someone or something) down and passing over the body, as with a vehicle
enclose or envelop completely, as if by swallowing	pursue until captured
	move downward
	examine hastily
	deplete
	trace