computing machine vs information processing system

computing machine and information processing system both are nouns.

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

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

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

Other synonyms of computing machine include computer, computing device, data processor, electronic computer.

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