built-in vs dyed-in-the-wool

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. 

dyed-in-the-wool

adj
  • Firmly established in one's beliefs or habits; having a specified characteristic, identity, etc. deeply ingrained in one's nature. 

  • Having the fibres dyed before they are formed into cloth. 

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