eucalyptus tree vs eucalypt

eucalyptus tree and eucalypt both are nouns.

Word	Noun	Adjective	Verb	Adverb
eucalyptus tree	Yes	No	No	No
eucalypt	Yes	No	No	No

As nouns, eucalyptus tree and eucalypt are synonyms defined as:

Other synonyms of eucalyptus tree include eucalyptus.

eucalyptus tree (noun)	eucalypt (noun)
a tree of the genus Eucalyptus	a tree of the genus Eucalyptus