chase after vs shadowing

chase after

verb
  • To pursue someone with romantic intentions; to woo. 

  • Used other than figuratively or idiomatically: see chase, after. 

shadowing

noun
  • Secretly or discreetly tracking or following someone, keeping under surveillance. 

  • The situation where an individual repeats speech immediately as they hear it (usually through earphones). 

  • A faint representation; an adumbration. 

  • The technique of copying ROM contents to RAM to allow for shorter access times. The ROM chip is then disabled while the initialized memory locations are switched in on the same block of addresses. 

  • The effect of being shadowed (in the sense of blocked), as from a light source or radio transmission. 

  • A work experience option where students learn about a job by walking through the work day as a shadow to a competent worker. 

How often have the words chase after and shadowing occurred in a corpus of books? (source: Google Ngram Viewer )