highbrow vs higher-order

highbrow

adj
  • Intellectually stimulating, highly cultured, sophisticated. 

noun
  • A cultured or learned person or thing. 

higher-order

adj
  • Involving more sophisticated thinking or reasoning. 

  • Of or relating to a class higher up in a hierarchy. 

How often have the words highbrow and higher-order occurred in a corpus of books? (source: Google Ngram Viewer )