chain saw vs sawing machine

chain saw and sawing machine both are nouns.

Word	Noun	Adjective	Verb	Adverb
chain saw	Yes	No	No	No
sawing machine	Yes	No	No	No

As nouns, sawing machine is a hypernym of chain saw; that is, sawing machine is a word with a broader meaning than chain saw:

Other hypernyms of chain saw include power saw, saw.

chain saw (noun)	sawing machine (noun)
portable power saw; teeth linked to form an endless chain	a power tool for cutting wood