carry the day vs conquer

carry the day

verb
  • To lead to victory or success; to prevail. 

conquer

verb
  • To acquire by force of arms, win in war; to become ruler of; to subjugate. 

  • To defeat in combat; to subjugate. 

  • To overcome an abstract obstacle. 

How often have the words carry the day and conquer occurred in a corpus of books? (source: Google Ngram Viewer )