mapply_likelihoods(Qmat, phy2, transpose_needed)independent_likelihoods_on_each_branch The output
  matrix of the likelihoods for each state on each branch.
rexpokit function
  expokit_dgpadm_Qmat.  It is also
  possible to byte-compile everything during package
  installation (via ByteCompile: true in the
  DESCRIPTION file), which is implemented in
  BioGeoBEARS, so this may be redundant.  mapply_likelihoods_prebyte gets
  byte-compiled into mapply_likelihoods.
  See http://dirk.eddelbuettel.com/blog/2011/04/12/
  for discussion of the compile
  package.
Matzke_2012_IBS
mapply,
  expokit_dgpadm_Qmat,
  expokit_dgpadm_Qmat2,
  compile,
  cmpfun