dye vs deep-dye

dye is a noun but deep-dye is not a noun.

Word	Noun	Adjective	Verb	Adverb
dye	Yes	No	Yes	No
deep-dye	No	No	Yes	No

As verbs, deep-dye is a hyponym of dye; that is, deep-dye is a word with a more specific, narrower meaning than dye:

Other hyponyms of dye include bronze, dye, stain, impress, yarn-dye, stain, fast dye, double dye, hand-dye, piece-dye.

dye (noun)	deep-dye (noun)
a usually soluble substance for staining or coloring e.g. fabrics or hair

dye (verb)	deep-dye (verb)
color with dye	dye thoroughly
color for microscopic study