paper rush vs Cyperus papyrus

paper rush and Cyperus papyrus both are nouns.

Word	Noun	Adjective	Verb	Adverb
paper rush	Yes	No	No	No
Cyperus papyrus	Yes	No	No	No

As nouns, paper rush and Cyperus papyrus are synonyms defined as:

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

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

paper rush (noun)	Cyperus papyrus (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