climb vs move up

climb

verb
  • To ascend; rise; to go up. 

  • To mount; to move upwards on. 

  • To move to a higher position on the social ladder. 

  • to jump high 

  • Of plants, to grow upwards by clinging to something. 

  • To move (especially up and down something) by gripping with the hands and using the feet. 

  • to practise the sport of climbing 

  • To scale; to get to the top of something. 

noun
  • The act of getting to somewhere more elevated. 

  • An upwards struggle 

  • An act of climbing. 

move up

verb
  • To raise, put onto a higher place. 

  • To move forward (especially when waiting in a queue / line). 

  • To move one's position to allow others to occupy a place. 

  • To be promoted. 

  • To pass to a higher level. 

  • To put higher on a list. 

  • To promote, put onto a higher level. 

  • To reschedule (something) to an earlier date or time. 

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