sort vs pick out

sort is a noun but pick out is not a noun.

Word	Noun	Adjective	Verb	Adverb
sort	Yes	No	Yes	No
pick out	No	No	Yes	No

As verbs, pick out is a hypernym of sort; that is, pick out is a word with a broader meaning than sort:

Other hypernyms of sort include choose, select, take.

sort (noun)	pick out (noun)
an approximate definition or example
a category of things distinguished by some common characteristic or quality
a person of a particular character or nature
an operation that segregates items into groups according to a specified criterion

sort (verb)	pick out (verb)
arrange or order by classes or categories	pick out, select, or choose from a number of alternatives
examine in order to test suitability	detect with the senses