cool as a cucumber vs self-possessed

cool as a cucumber

adj
  • Calm and composed even in difficult or frustrating situations; self-possessed. 

self-possessed

adj
  • In full control of one's faculties, and having a firm belief in one's abilities; confident, assured and poised. 

How often have the words cool as a cucumber and self-possessed occurred in a corpus of books? (source: Google Ngram Viewer )