rewrite vs compose

rewrite is a noun but compose is not a noun.

Word	Noun	Adjective	Verb	Adverb
rewrite	Yes	No	Yes	No
compose	No	No	Yes	No

As verbs, compose is a hypernym of rewrite; that is, compose is a word with a broader meaning than rewrite:

Other hypernyms of rewrite include indite, pen, write.

rewrite (noun)	compose (noun)
something that has been written again

rewrite (verb)	compose (verb)
write differently; alter the writing of	make up plans or basic details for
rewrite so as to make fit to suit a new or different purpose	produce a literary work
	write music
	put together out of existing material
	calm (someone, especially oneself); make quiet
	form the substance of