Chinese anise vs anise tree

Chinese anise and anise tree both are nouns.

Word	Noun	Adjective	Verb	Adverb
Chinese anise	Yes	No	No	No
anise tree	Yes	No	No	No

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

Chinese anise: small tree of China and Vietnam bearing anise-scented star-shaped fruit used in food and medicinally as a carminative
anise tree: any of several evergreen shrubs and small trees of the genus Illicium

Chinese anise (noun)	anise tree (noun)
anise-scented star-shaped fruit or seed used in Asian cooking and medicine	any of several evergreen shrubs and small trees of the genus Illicium
small tree of China and Vietnam bearing anise-scented star-shaped fruit used in food and medicinally as a carminative