belly up to vs catch up

belly up to

catch up

verb
  • To pick up suddenly. 

  • To reach something that had been ahead. 

  • To finally reach something inevitable. 

  • To entangle. 

  • To bring (someone) up to date with the news. 

  • To compensate for or make up a deficiency. 

  • To be brought up to date with news. 

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