information processing system vs computing machine

information processing system and computing machine both are nouns.

Word	Noun	Adjective	Verb	Adverb
information processing system	Yes	No	No	No
computing machine	Yes	No	No	No

As nouns, information processing system and computing machine are synonyms defined as:

information processing system and computing machine: a machine for performing calculations automatically

Other synonyms of information processing system include computer, computing device, data processor, electronic computer.

information processing system (noun)	computing machine (noun)
a machine for performing calculations automatically	a machine for performing calculations automatically