paper rush vs Egyptian paper reed

paper rush and Egyptian paper reed both are nouns.

Word	Noun	Adjective	Verb	Adverb
paper rush	Yes	No	No	No
Egyptian paper reed	Yes	No	No	No

As nouns, paper rush and Egyptian paper reed are synonyms defined as:

paper rush and Egyptian paper reed: tall sedge of the Nile valley yielding fiber that served many purposes in historic times

Other synonyms of paper rush include Cyperus papyrus, Egyptian paper rush, paper plant, papyrus.

paper rush (noun)	Egyptian paper reed (noun)
tall sedge of the Nile valley yielding fiber that served many purposes in historic times	tall sedge of the Nile valley yielding fiber that served many purposes in historic times