WORST_CASE(?,O(n^3))

Solution:
---------

  "0" :: [] -(0)-> "A"(8, 7, 8)
  "0" :: [] -(0)-> "A"(3, 0, 0)
  "0" :: [] -(0)-> "A"(2, 0, 0)
  "0" :: [] -(0)-> "A"(0, 0, 0)
  "0" :: [] -(0)-> "A"(1, 0, 0)
  "add" :: ["A"(2, 0, 0) x "A"(0, 0, 0)] -(1)-> "A"(0, 0, 0)
  "cons" :: ["A"(4, 4, 3)] -(3)-> "A"(3, 1, 3)
  "cons" :: ["A"(0, 0, 0)] -(0)-> "A"(0, 0, 0)
  "cons" :: ["A"(3, 4, 3)] -(2)-> "A"(2, 1, 3)
  "dbl" :: ["A"(3, 0, 0)] -(1)-> "A"(1, 0, 0)
  "first" :: ["A"(0, 0, 0) x "A"(3, 1, 3)] -(1)-> "A"(0, 0, 0)
  "half" :: ["A"(1, 0, 0)] -(1)-> "A"(0, 0, 0)
  "nil" :: [] -(0)-> "A"(0, 0, 0)
  "recip" :: ["A"(0, 0, 0)] -(0)-> "A"(0, 0, 0)
  "s" :: ["A"(15, 15, 8)] -(8)-> "A"(8, 7, 8)
  "s" :: ["A"(3, 0, 0)] -(3)-> "A"(3, 0, 0)
  "s" :: ["A"(2, 0, 0)] -(2)-> "A"(2, 0, 0)
  "s" :: ["A"(0, 0, 0)] -(0)-> "A"(0, 0, 0)
  "s" :: ["A"(1, 0, 0)] -(1)-> "A"(1, 0, 0)
  "sqr" :: ["A"(8, 7, 8)] -(1)-> "A"(0, 0, 0)
  "terms" :: ["A"(8, 7, 8)] -(2)-> "A"(0, 0, 0)


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

  "0" :: [] -(0)-> "A"_cf(4, 4, 0)
  "0" :: [] -(0)-> "A"_cf(2, 1, 1)
  "0" :: [] -(0)-> "A"_cf(2, 0, 0)
  "0" :: [] -(0)-> "A"_cf(4, 0, 0)
  "0" :: [] -(0)-> "A"_cf(0, 0, 0)
  "0" :: [] -(0)-> "A"_cf(1, 1, 1)
  "add" :: ["A"_cf(2, 0, 0) x "A"_cf(2, 0, 0)] -(1)-> "A"_cf(2, 0, 0)
  "add" :: ["A"_cf(0, 0, 0) x "A"_cf(0, 0, 0)] -(1)-> "A"_cf(0, 0, 0)
  "dbl" :: ["A"_cf(4, 0, 0)] -(1)-> "A"_cf(2, 0, 0)
  "dbl" :: ["A"_cf(0, 0, 0)] -(1)-> "A"_cf(0, 0, 0)
  "half" :: ["A"_cf(0, 0, 0)] -(1)-> "A"_cf(0, 0, 0)
  "s" :: ["A"_cf(8, 4, 0)] -(4)-> "A"_cf(4, 4, 0)
  "s" :: ["A"_cf(2, 0, 0)] -(2)-> "A"_cf(2, 0, 0)
  "s" :: ["A"_cf(4, 0, 0)] -(4)-> "A"_cf(4, 0, 0)
  "s" :: ["A"_cf(0, 0, 0)] -(0)-> "A"_cf(0, 0, 0)
  "sqr" :: ["A"_cf(4, 4, 0)] -(1)-> "A"_cf(2, 0, 0)


Base Constructors:
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