long plane vs carpenter's plane

long plane and carpenter's plane both are nouns.

Word	Noun	Adjective	Verb	Adverb
long plane	Yes	No	No	No
carpenter's plane	Yes	No	No	No

As nouns, carpenter's plane is a hypernym of long plane; that is, carpenter's plane is a word with a broader meaning than long plane:

long plane: a long carpenter's plane used to shape the edges of boards so they will fit together
carpenter's plane: a carpenter's hand tool with an adjustable blade for smoothing or shaping wood

Other hypernyms of long plane include plane, woodworking plane.

long plane (noun)	carpenter's plane (noun)
a long carpenter's plane used to shape the edges of boards so they will fit together	a carpenter's hand tool with an adjustable blade for smoothing or shaping wood