nutmeg tree vs spice tree

nutmeg tree and spice tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
nutmeg tree	Yes	No	No	No
spice tree	Yes	No	No	No

As nouns, spice tree is a hypernym of nutmeg tree; that is, spice tree is a word with a broader meaning than nutmeg tree:

nutmeg tree: East Indian tree widely cultivated in the tropics for its aromatic seed; source of two spices: nutmeg and mace
spice tree: tree bearing aromatic bark or berries

nutmeg tree (noun)	spice tree (noun)
East Indian tree widely cultivated in the tropics for its aromatic seed; source of two spices: nutmeg and mace	tree bearing aromatic bark or berries
	Pacific coast tree having aromatic foliage and small umbellate flowers followed by olivelike fruit; yields a hard tough wood