shed vs cast off

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

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

As verbs, cast off is a hypernym of shed; that is, cast off is a word with a broader meaning than shed:

Other hypernyms of shed include cast, drop, shake off, shed, throw, throw away, throw off.

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

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

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

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

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