Amanita caesarea vs Caesar's agaric

Amanita caesarea and Caesar's agaric both are nouns.

Word	Noun	Adjective	Verb	Adverb
Amanita caesarea	Yes	No	No	No
Caesar's agaric	Yes	No	No	No

As nouns, Amanita caesarea and Caesar's agaric are synonyms defined as:

Amanita caesarea and Caesar's agaric: widely distributed edible mushroom resembling the fly agaric

Other synonyms of Amanita caesarea include royal agaric.

Amanita caesarea (noun)	Caesar's agaric (noun)
widely distributed edible mushroom resembling the fly agaric	widely distributed edible mushroom resembling the fly agaric