Many specification and programming languages have adopted term rewriting and pattern matching as a key feature. However, implementation techniques and observed performance greatly vary across languages and tools. To provide for an objective comparison, we developed an open, experimental platform based upon the ideas of the three Rewrite Engines Competitions (2006, 2008, and 2010), which we significantly enhanced, extended, and automated. We used this platform to benchmark interpreters and compilers for a number of algebraic, functional, and object-oriented languages, and we report about the results obtained for CafeOBJ, Clean, Haskell, LNT, LOTOS, Maude, mCRL2, OCaml, Opal, Rascal, Scala, SML (MLton and SML-NJ), Stratego/XT, and Tom.