smiler vs pudding face

smiler and pudding face both are nouns.

Word	Noun	Adjective	Verb	Adverb
smiler	Yes	No	No	No
pudding face	Yes	No	No	No

As nouns, pudding face is a hyponym of smiler; that is, pudding face is a word with a more specific, narrower meaning than smiler:

smiler: the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
pudding face: a large fat human face

Other hyponyms of smiler include pudding-face.

smiler (noun)	pudding face (noun)
the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)	a large fat human face
a person who smiles