built-in vs deep-rooted

built-in

adj
  • Being an essential and permanent part of something. 

  • Being an included feature that normally comes as an extra. 

  • Constructed as a non-detachable part of a larger structure. 

noun
  • Anything (such as a piece of furniture, or a software feature) that is built in, not added as an extra. 

deep-rooted

adj
  • Firmly established in thought or behaviour and difficult to change. 

  • Having deep roots; (of a non-living object) deeply and firmly embedded (in the ground, etc.). 

How often have the words built-in and deep-rooted occurred in a corpus of books? (source: Google Ngram Viewer )