oil of anise vs anise oil

oil of anise and anise oil both are nouns.

Word	Noun	Adjective	Verb	Adverb
oil of anise	Yes	No	No	No
anise oil	Yes	No	No	No

As nouns, oil of anise and anise oil are synonyms defined as:

oil of anise and anise oil: an essential oil extracted from the seeds of Pimpinella anisum (aniseed), having a pungent liquorice-like smell.

Other synonyms of oil of anise include aniseed oil.

oil of anise (noun)	anise oil (noun)
an essential oil extracted from the seeds of Pimpinella anisum (aniseed), having a pungent liquorice-like smell.	an essential oil extracted from the seeds of Pimpinella anisum (aniseed), having a pungent liquorice-like smell.