oil of anise vs aniseed oil

oil of anise and aniseed oil both are nouns.

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

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

oil of anise and aniseed 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 anise oil.

oil of anise (noun)	aniseed 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.