YES
Time: 0.005048
TRS:
 {  half 0() -> 0(),
  half s s x -> s half x,
   log s 0() -> 0(),
   log s s x -> s log s half x}
 DP:
  DP:
   {half# s s x -> half# x,
     log# s s x -> half# x,
     log# s s x -> log# s half x}
  TRS:
  {  half 0() -> 0(),
   half s s x -> s half x,
    log s 0() -> 0(),
    log s s x -> s log s half x}
  EDG:
   {(half# s s x -> half# x, half# s s x -> half# x)
    (log# s s x -> half# x, half# s s x -> half# x)
    (log# s s x -> log# s half x, log# s s x -> half# x)
    (log# s s x -> log# s half x, log# s s x -> log# s half x)}
   SCCS (2):
    Scc:
     {log# s s x -> log# s half x}
    Scc:
     {half# s s x -> half# x}
    SCC (1):
     Strict:
      {log# s s x -> log# s half x}
     Weak:
     {  half 0() -> 0(),
      half s s x -> s half x,
       log s 0() -> 0(),
       log s s x -> s log s half x}
     POLY:
      Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
      Interpretation:
       [half](x0) = x0,
       
       [s](x0) = x0 + 1,
       
       [log](x0) = 0,
       
       [0] = 1,
       
       [log#](x0) = x0
      Strict:
       log# s s x -> log# s half x
       2 + 1x >= 1 + 1x
      Weak:
       
     Qed
   SCC (1):
    Strict:
     {half# s s x -> half# x}
    Weak:
    {  half 0() -> 0(),
     half s s x -> s half x,
      log s 0() -> 0(),
      log s s x -> s log s half x}
    SPSC:
     Simple Projection:
      pi(half#) = 0
     Strict:
      {}
     Qed