MAYBE
Time: 0.000999
TRS:
 {   double 0() -> 0(),
     double s x -> s s double x,
       half 0() -> 0(),
  half double x -> x,
     half s 0() -> 0(),
     half s s x -> s half x,
      -(x, 0()) -> x,
    -(s x, s y) -> -(x, y),
  if(0(), y, z) -> y,
  if(s x, y, z) -> z}
 DP:
  DP:
   { double# s x -> double# x,
     half# s s x -> half# x,
    -#(s x, s y) -> -#(x, y)}
  TRS:
  {   double 0() -> 0(),
      double s x -> s s double x,
        half 0() -> 0(),
   half double x -> x,
      half s 0() -> 0(),
      half s s x -> s half x,
       -(x, 0()) -> x,
     -(s x, s y) -> -(x, y),
   if(0(), y, z) -> y,
   if(s x, y, z) -> z}
  EDG:
   {(half# s s x -> half# x, half# s s x -> half# x)
    (-#(s x, s y) -> -#(x, y), -#(s x, s y) -> -#(x, y))
    (double# s x -> double# x, double# s x -> double# x)}
   STATUS:
    arrows: 0.666667
    SCCS (3):
     Scc:
      {-#(s x, s y) -> -#(x, y)}
     Scc:
      {half# s s x -> half# x}
     Scc:
      {double# s x -> double# x}
     
     SCC (1):
      Strict:
       {-#(s x, s y) -> -#(x, y)}
      Weak:
      {   double 0() -> 0(),
          double s x -> s s double x,
            half 0() -> 0(),
       half double x -> x,
          half s 0() -> 0(),
          half s s x -> s half x,
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
       if(0(), y, z) -> y,
       if(s x, y, z) -> z}
      Open
     SCC (1):
      Strict:
       {half# s s x -> half# x}
      Weak:
      {   double 0() -> 0(),
          double s x -> s s double x,
            half 0() -> 0(),
       half double x -> x,
          half s 0() -> 0(),
          half s s x -> s half x,
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
       if(0(), y, z) -> y,
       if(s x, y, z) -> z}
      Open
     SCC (1):
      Strict:
       {double# s x -> double# x}
      Weak:
      {   double 0() -> 0(),
          double s x -> s s double x,
            half 0() -> 0(),
       half double x -> x,
          half s 0() -> 0(),
          half s s x -> s half x,
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
       if(0(), y, z) -> y,
       if(s x, y, z) -> z}
      Open