according to vs on the order of

according to

prep

  • In a manner conforming or corresponding to; in proportion to; in accordance with. , 

  • Based on what is said or stated by; on the authority of. 

  • Depending on. 

on the order of

prep

  • In the manner of; along the lines of; like; of a similar kind to; more-or-less equivalent to. 

adv

  • Approximately. 

How often have the words according to and on the order of occurred in a corpus of books? (source: Google Ngram Viewer )