bathhouse vs bathing machine

bathhouse and bathing machine both are nouns.

Word	Noun	Adjective	Verb	Adverb
bathhouse	Yes	No	No	No
bathing machine	Yes	No	No	No

As nouns, bathhouse and bathing machine are synonyms defined as:

bathhouse and bathing machine: a building containing dressing rooms for bathers

bathhouse (noun)	bathing machine (noun)
a building containing public baths	a building containing dressing rooms for bathers
a building containing dressing rooms for bathers