BEST_CASE(Omega(n^3),?)

Solution:
---------

  "0" :: [] -(0)-> "c"(0, 0, 0)
  "0" :: [] -(0)-> "c"(4, 0, 2)
  "app" :: ["c"(0, 0, 0) x "b"(0, 0, 0)] -(0)-> "b"(0, 0, 0)
  "div" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 0)
  "div'" :: ["c"(14, 6, 7) x "c"(0, 0, 0)] -(8)-> "a"(5, 2, 1)
  "div'" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(0)-> "a"(0, 0, 0)
  "div'" :: ["c"(4, 0, 2) x "c"(0, 0, 0)] -(1)-> "a"(0, 0, 1)
  "div'" :: ["c"(10, 0, 5) x "c"(0, 0, 0)] -(4)-> "a"(3, 0, 1)
  "egypt" :: ["a"(0, 0, 1)] -(0)-> "b"(0, 0, 0)
  "h" :: ["c"(0, 0, 0) x "c"(0, 0, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 0)
  "i" :: ["a"(5, 2, 1) x "a"(0, 0, 0)] -(0)-> "a"(0, 0, 1)
  "minus" :: ["c"(9, 12, 9) x "c"(0, 0, 0)] -(3)-> "c"(3, 0, 0)
  "mult" :: ["c"(14, 15, 15) x "c"(0, 0, 0)] -(6)-> "c"(1, 4, 1)
  "mult" :: ["c"(0, 0, 0) x "c"(0, 0, 0)] -(0)-> "c"(0, 0, 0)
  "nil" :: [] -(0)-> "b"(0, 0, 0)
  "s" :: ["c"(0, 0, 0)] -(0)-> "c"(0, 0, 0)
  "s" :: ["c"(6, 2, 12)] -(6)-> "c"(4, 0, 2)


Cost Free Signatures:
---------------------




Base Constructors:
------------------
  "\"0\"_c" :: [] -(0)-> "c"(1, 0, 0)
  "\"0\"_c" :: [] -(0)-> "c"(0, 1, 0)
  "\"0\"_c" :: [] -(0)-> "c"(0, 0, 1)
  "\"app\"_b" :: ["c"(8, 12, 0) x "b"(0, 0, 0)] -(1)-> "b"(1, 0, 0)
  "\"app\"_b" :: ["c"(1, 9, 0) x "b"(0, 0, 0)] -(1)-> "b"(0, 1, 0)
  "\"app\"_b" :: ["c"(15, 13, 4) x "b"(0, 0, 0)] -(1)-> "b"(0, 0, 1)
  "\"div'\"_a" :: ["c"(2, 0, 1) x "c"(0, 0, 0)] -(1)-> "a"(1, 0, 0)
  "\"div'\"_a" :: ["c"(0, 3, 0) x "c"(0, 0, 0)] -(1)-> "a"(0, 1, 0)
  "\"div'\"_a" :: ["c"(4, 0, 2) x "c"(0, 0, 0)] -(1)-> "a"(0, 0, 1)
  "\"minus\"_c" :: ["c"(3, 4, 3) x "c"(0, 0, 0)] -(1)-> "c"(1, 0, 0)
  "\"minus\"_c" :: ["c"(0, 15, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 1, 0)
  "\"minus\"_c" :: ["c"(1, 15, 8) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 1)
  "\"mult\"_c" :: ["c"(10, 7, 1) x "c"(0, 0, 0)] -(1)-> "c"(1, 0, 0)
  "\"mult\"_c" :: ["c"(1, 2, 0) x "c"(0, 0, 0)] -(1)-> "c"(0, 1, 0)
  "\"mult\"_c" :: ["c"(0, 0, 14) x "c"(0, 0, 0)] -(1)-> "c"(0, 0, 1)
  "\"nil\"_b" :: [] -(0)-> "b"(1, 0, 0)
  "\"nil\"_b" :: [] -(0)-> "b"(0, 1, 0)
  "\"nil\"_b" :: [] -(0)-> "b"(0, 0, 1)
  "\"s\"_c" :: ["c"(1, 0, 2)] -(1)-> "c"(1, 0, 0)
  "\"s\"_c" :: ["c"(10, 5, 4)] -(1)-> "c"(0, 1, 0)
  "\"s\"_c" :: ["c"(1, 1, 2)] -(1)-> "c"(0, 0, 1)