laugh vs cackle

laugh and cackle both are nouns.

Word	Noun	Adjective	Verb	Adverb
laugh	Yes	No	Yes	No
cackle	Yes	No	Yes	No

As nouns, cackle is a hyponym of laugh; that is, cackle is a word with a more specific, narrower meaning than laugh:

As verbs, cackle is a hyponym of laugh; that is, cackle is a word with a more specific, narrower meaning than laugh:

laugh (noun)	cackle (noun)
the sound of laughing	a loud laugh suggestive of a hen's cackle
a humorous anecdote or remark intended to provoke laughter	noisy talk
a facial expression characteristic of a person laughing	the sound made by a hen after laying an egg

laugh (verb)	cackle (verb)
produce laughter	emit a loud, unpleasant kind of laughing
	squawk shrilly and loudly, characteristic of hens
	talk or utter in a cackling manner
	make a noise characteristic of a goose