leap out vs burst forth

leap out and burst forth both are verbs.

Word	Noun	Adjective	Verb	Adverb
leap out	No	No	Yes	No
burst forth	No	No	Yes	No

As verbs, leap out and burst forth are synonyms defined as:

leap out and burst forth: jump out from a hiding place and surprise (someone)

Other synonyms of leap out include rush out, sally out.

leap out (verb)	burst forth (verb)
jump out from a hiding place and surprise (someone)	be unleashed; emerge with violence or noise
be highly noticeable	come into or as if into flower
	jump out from a hiding place and surprise (someone)