Christmas berry vs shrub

Christmas berry and shrub both are nouns.

Word	Noun	Adjective	Verb	Adverb
Christmas berry	Yes	No	No	No
shrub	Yes	No	No	No

As nouns, shrub is a hypernym of Christmas berry; that is, shrub is a word with a broader meaning than Christmas berry:

Christmas berry: ornamental evergreen treelike shrub of the Pacific coast of the United States having large white flowers and red berrylike fruits; often placed in genus Photinia
shrub: a low woody perennial plant usually having several major stems

Other hypernyms of Christmas berry include bush.

As nouns, shrub is a hypernym of Christmas berry; that is, shrub is a word with a broader meaning than Christmas berry:

Christmas berry: spiny evergreen shrub of southeastern United States having spreading branches usually blue or mauve flowers and red berries
shrub: a low woody perennial plant usually having several major stems

Other hypernyms of Christmas berry include bush.

Christmas berry (noun)	shrub (noun)
ornamental evergreen treelike shrub of the Pacific coast of the United States having large white flowers and red berrylike fruits; often placed in genus Photinia	a low woody perennial plant usually having several major stems
spiny evergreen shrub of southeastern United States having spreading branches usually blue or mauve flowers and red berries