cackle vs let loose

cackle is a noun but let loose is not a noun.

Word	Noun	Adjective	Verb	Adverb
cackle	Yes	No	Yes	No
let loose	No	No	Yes	No

As verbs, let loose is a hypernym of cackle; that is, let loose is a word with a broader meaning than cackle:

Other hypernyms of cackle include emit, let out, utter.

cackle (noun)	let loose (noun)
a loud laugh suggestive of a hen's cackle
noisy talk
the sound made by a hen after laying an egg

cackle (verb)	let loose (verb)
emit a loud, unpleasant kind of laughing	express audibly; utter sounds (not necessarily words)
squawk shrilly and loudly, characteristic of hens	turn loose or free from restraint
talk or utter in a cackling manner
make a noise characteristic of a goose