half-moon vs halving

half-moon

noun
  • The moon in its first or last quarter when only half the visible face is illuminated; a quarter moon. 

  • A semicircular or crescent-shaped Filipino butter cookie. 

  • Anything shaped like a crescent, especially the base of a fingernail. 

  • Synonym of black and white (“type of cookie”) 

halving

noun
  • The process or instance of dividing in half. 

How often have the words half-moon and halving occurred in a corpus of books? (source: Google Ngram Viewer )