write out vs compose

write out and compose both are verbs.

Word	Noun	Adjective	Verb	Adverb
write out	No	No	Yes	No
compose	No	No	Yes	No

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

Other hypernyms of write out include indite, pen, write.

write out (verb)	compose (verb)
make out and issue	make up plans or basic details for
put into writing; write in complete form	produce a literary work
	write music
	put together out of existing material
	calm (someone, especially oneself); make quiet
	form the substance of