horse mushroom vs agaric

horse mushroom and agaric both are nouns.

Word	Noun	Adjective	Verb	Adverb
horse mushroom	Yes	No	No	No
agaric	Yes	No	No	No

As nouns, agaric is a hypernym of horse mushroom; that is, agaric is a word with a broader meaning than horse mushroom:

horse mushroom: coarse edible mushroom with a hollow stem and a broad white cap
agaric: a saprophytic fungus of the order Agaricales having an umbrellalike cap with gills on the underside

horse mushroom (noun)	agaric (noun)
coarse edible mushroom with a hollow stem and a broad white cap	a saprophytic fungus of the order Agaricales having an umbrellalike cap with gills on the underside
	fungus used in the preparation of punk for fuses