bench press vs punch press

bench press and punch press both are nouns.

Word	Noun	Adjective	Verb	Adverb
bench press	Yes	No	No	No
punch press	Yes	No	No	No

As nouns, punch press is a hypernym of bench press; that is, punch press is a word with a broader meaning than bench press:

bench press (noun)	punch press (noun)
a weightlift in which you lie on your back on a bench and press weights upward	a power driven press used to shape metal parts
a small punch press mounted on a workbench