cast anchor vs tie up

cast anchor

verb
  • To take up a position. 

  • To drop anchor or otherwise moor a ship. 

tie up

verb
  • To occupy, detain, keep busy, or delay. 

  • To immobilize a capital: make a capital investment that makes that capital unavailable. 

  • To complete, finish, or resolve. 

  • Don't forget to tie up your hair before you bake. 

  • To secure with rope, string, etc. 

How often have the words cast anchor and tie up occurred in a corpus of books? (source: Google Ngram Viewer )