Caesar's agaric vs Amanita caesarea

Caesar's agaric and Amanita caesarea both are nouns.

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

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

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

Other synonyms of Caesar's agaric include royal agaric.

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