half-asleep vs out like a light

half-asleep

adj
  • Showing signs of being asleep or very sleepy, as not demonstrating full energy or attention. 

out like a light

adj
  • Asleep or unconscious, particularly if this has occurred suddenly and the sleep is deep. 

How often have the words half-asleep and out like a light occurred in a corpus of books? (source: Google Ngram Viewer )