burn up vs blaze up

burn up and blaze up both are verbs.

Word	Noun	Adjective	Verb	Adverb
burn up	No	No	Yes	No
blaze up	No	No	Yes	No

As verbs, burn up and blaze up are synonyms defined as:

Other synonyms of burn up include flame up, flare.

burn up (verb)	blaze up (verb)
burn completely; be consumed or destroyed by fire	burn brightly
use up (energy)
burn brightly