cast off vs shed

cast off is not a noun while shed is a noun.

Word	Noun	Adjective	Verb	Adverb
cast off	No	No	Yes	No
shed	Yes	Yes	Yes	No

As verbs, cast off and shed are synonyms defined as:

Other synonyms of cast off include cast, drop, shake off, throw, throw away, throw off.

As verbs, shed is a hyponym of cast off; that is, shed is a word with a more specific, narrower meaning than cast off:

Other hyponyms of cast off include exuviate, molt, moult, slough, abscise, exfoliate, autotomise, autotomize.

cast off (noun)	shed (noun)
	an outbuilding with a single story; used for shelter or storage

cast off (adjective)	shed (adjective)
	shed at an early stage of development

cast off (verb)	shed (verb)
to remove	cast off hair, skin, horn, or feathers
make the last row of stitches when knitting	cause or allow (a solid substance) to flow or run out or over
	to remove
	pour out in drops or small quantities or as if in drops or small quantities