run out vs brim over

run out and brim over both are verbs.

Word	Noun	Adjective	Verb	Adverb
run out	No	No	Yes	No
brim over	No	No	Yes	No

As verbs, brim over is a hyponym of run out; that is, brim over is a word with a more specific, narrower meaning than run out:

Other hyponyms of run out include overflow, overrun, run over, well over.

run out (verb)	brim over (verb)
use up all one's strength and energy and stop working	flow or run over (a limit or brim)
prove insufficient
exhaust the supply of
become used up; be exhausted
flow, run or fall out and become lost
flow off gradually
leave suddenly and as if in a hurry
lose validity