shout out vs let loose

shout out and let loose both are verbs.

Word	Noun	Adjective	Verb	Adverb
shout out	No	No	Yes	No
let loose	No	No	Yes	No

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

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

shout out (verb)	let loose (verb)
utter a sudden loud cry	express audibly; utter sounds (not necessarily words)
utter in a very loud voice	turn loose or free from restraint