read through vs run through

read through

verb
  • To read and obey a signal that is beyond the applicable one (often mistakenly) 

  • To thoroughly read something to check or proofread it 

  • To read a script out loud casually with other actors but without blocking 

run through

verb
  • Used other than figuratively or idiomatically: see run, through. 

  • To repeat something. 

  • To summarise briefly. 

  • To use completely, in a short space of time. Usually money. 

  • Of a waterway, to flow through an area. 

  • To go through hastily. 

  • To impale a person with a blade, usually a sword. 

  • To fuck. 

  • To inform or educate someone, typically of a new concept or a concept particular to an organization or industry 

  • To pervade, of a quality that is characteristic of a group, organisation, or system. 

How often have the words read through and run through occurred in a corpus of books? (source: Google Ngram Viewer )