WORST_CASE(Omega(1),?)

### Pre-processing the ITS problem ###

Initial linear ITS problem
   Start location: l2
      0: l0 -> l1 : x^0'=x^post_1, [ 1<=x^0 && x^post_1==-1+x^0 ], cost: 1
      1: l1 -> l0 : x^0'=x^post_2, [ x^0==x^post_2 ], cost: 1
      2: l2 -> l0 : x^0'=x^post_3, [ x^0==x^post_3 ], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      2: l2 -> l0 : x^0'=x^post_3, [ x^0==x^post_3 ], cost: 1

Simplified all rules, resulting in:
   Start location: l2
      0: l0 -> l1 : x^0'=-1+x^0, [ 1<=x^0 ], cost: 1
      1: l1 -> l0 : [], cost: 1
      2: l2 -> l0 : [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: l2
      3: l0 -> l0 : x^0'=-1+x^0, [ 1<=x^0 ], cost: 2
      2: l2 -> l0 : [], cost: 1

Accelerating simple loops of location 0.
   Accelerating the following rules:
      3: l0 -> l0 : x^0'=-1+x^0, [ 1<=x^0 ], cost: 2

   Accelerated rule 3 with backward acceleration, yielding the new rule 4.
[accelerate] Nesting with 1 inner and 1 outer candidates
   Removing the simple loops: 3.

Accelerated all simple loops using metering functions (where possible):
   Start location: l2
      4: l0 -> l0 : x^0'=0, [ x^0>=0 ], cost: 2*x^0
      2: l2 -> l0 : [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: l2
      2: l2 -> l0 : [], cost: 1
      5: l2 -> l0 : x^0'=0, [ x^0>=0 ], cost: 1+2*x^0

Removed unreachable locations (and leaf rules with constant cost):
   Start location: l2
      5: l2 -> l0 : x^0'=0, [ x^0>=0 ], cost: 1+2*x^0

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: l2
      5: l2 -> l0 : x^0'=0, [ x^0>=0 ], cost: 1+2*x^0

Computing asymptotic complexity for rule 5
   Resulting cost 0 has complexity: Unknown

Obtained the following overall complexity (w.r.t. the length of the input n):
   Complexity:  Constant
   Cpx degree:  0
   Solved cost: 1
   Rule cost:   1
   Rule guard:  [ x^0==x^post_3 ]

WORST_CASE(Omega(1),?)