This name is a synonym of Cryptantha subamplexicaulis (Phil.) Reiche.
The record derives from WCSP (in review)
(data supplied on 2012-03-23)
which reports it as a synonym with original publication details: Fl. Atacam. 39 1860.
This name was in version 1 of The Plant List, record kew-2797940, and has not been changed.