pimento tree vs spice tree

pimento tree and spice tree both are nouns.

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

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

pimento tree (noun)	spice tree (noun)
aromatic West Indian tree that produces allspice berries	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