WORST_CASE(Omega(1),?)

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

Initial linear ITS problem
   Start location: l4
      0: l0 -> l1 : Result_4^0'=Result_4^post_1, x_5^0'=x_5^post_1, y_6^0'=y_6^post_1, [ x_5^0<=0 && Result_4^post_1==Result_4^post_1 && x_5^0==x_5^post_1 && y_6^0==y_6^post_1 ], cost: 1
      1: l0 -> l1 : Result_4^0'=Result_4^post_2, x_5^0'=x_5^post_2, y_6^0'=y_6^post_2, [ 0<=-1+x_5^0 && y_6^0<=0 && Result_4^post_2==Result_4^post_2 && x_5^0==x_5^post_2 && y_6^0==y_6^post_2 ], cost: 1
      2: l0 -> l1 : Result_4^0'=Result_4^post_3, x_5^0'=x_5^post_3, y_6^0'=y_6^post_3, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 && y_6^0+x_5^0<=0 && Result_4^post_3==Result_4^post_3 && x_5^0==x_5^post_3 && y_6^0==y_6^post_3 ], cost: 1
      3: l0 -> l2 : Result_4^0'=Result_4^post_4, x_5^0'=x_5^post_4, y_6^0'=y_6^post_4, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 && 0<=-1+y_6^0+x_5^0 && x_5^post_4==-2+y_6^0 && y_6^post_4==1+x_5^post_4 && Result_4^0==Result_4^post_4 ], cost: 1
      4: l2 -> l0 : Result_4^0'=Result_4^post_5, x_5^0'=x_5^post_5, y_6^0'=y_6^post_5, [ Result_4^0==Result_4^post_5 && x_5^0==x_5^post_5 && y_6^0==y_6^post_5 ], cost: 1
      5: l3 -> l0 : Result_4^0'=Result_4^post_6, x_5^0'=x_5^post_6, y_6^0'=y_6^post_6, [ Result_4^0==Result_4^post_6 && x_5^0==x_5^post_6 && y_6^0==y_6^post_6 ], cost: 1
      6: l4 -> l3 : Result_4^0'=Result_4^post_7, x_5^0'=x_5^post_7, y_6^0'=y_6^post_7, [ Result_4^0==Result_4^post_7 && x_5^0==x_5^post_7 && y_6^0==y_6^post_7 ], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      6: l4 -> l3 : Result_4^0'=Result_4^post_7, x_5^0'=x_5^post_7, y_6^0'=y_6^post_7, [ Result_4^0==Result_4^post_7 && x_5^0==x_5^post_7 && y_6^0==y_6^post_7 ], cost: 1

Removed unreachable and leaf rules:
   Start location: l4
      3: l0 -> l2 : Result_4^0'=Result_4^post_4, x_5^0'=x_5^post_4, y_6^0'=y_6^post_4, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 && 0<=-1+y_6^0+x_5^0 && x_5^post_4==-2+y_6^0 && y_6^post_4==1+x_5^post_4 && Result_4^0==Result_4^post_4 ], cost: 1
      4: l2 -> l0 : Result_4^0'=Result_4^post_5, x_5^0'=x_5^post_5, y_6^0'=y_6^post_5, [ Result_4^0==Result_4^post_5 && x_5^0==x_5^post_5 && y_6^0==y_6^post_5 ], cost: 1
      5: l3 -> l0 : Result_4^0'=Result_4^post_6, x_5^0'=x_5^post_6, y_6^0'=y_6^post_6, [ Result_4^0==Result_4^post_6 && x_5^0==x_5^post_6 && y_6^0==y_6^post_6 ], cost: 1
      6: l4 -> l3 : Result_4^0'=Result_4^post_7, x_5^0'=x_5^post_7, y_6^0'=y_6^post_7, [ Result_4^0==Result_4^post_7 && x_5^0==x_5^post_7 && y_6^0==y_6^post_7 ], cost: 1

Simplified all rules, resulting in:
   Start location: l4
      3: l0 -> l2 : x_5^0'=-2+y_6^0, y_6^0'=-1+y_6^0, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 ], cost: 1
      4: l2 -> l0 : [], cost: 1
      5: l3 -> l0 : [], cost: 1
      6: l4 -> l3 : [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: l4
      8: l0 -> l0 : x_5^0'=-2+y_6^0, y_6^0'=-1+y_6^0, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 ], cost: 2
      7: l4 -> l0 : [], cost: 2

Accelerating simple loops of location 0.
   Accelerating the following rules:
      8: l0 -> l0 : x_5^0'=-2+y_6^0, y_6^0'=-1+y_6^0, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 ], cost: 2

   Found no metering function for rule 8.
   Removing the simple loops:.

Accelerated all simple loops using metering functions (where possible):
   Start location: l4
      8: l0 -> l0 : x_5^0'=-2+y_6^0, y_6^0'=-1+y_6^0, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 ], cost: 2
      7: l4 -> l0 : [], cost: 2

Chained accelerated rules (with incoming rules):
   Start location: l4
      7: l4 -> l0 : [], cost: 2
      9: l4 -> l0 : x_5^0'=-2+y_6^0, y_6^0'=-1+y_6^0, [ 0<=-1+x_5^0 && 0<=-1+y_6^0 ], cost: 4

Removed unreachable locations (and leaf rules with constant cost):
   Start location: l4
     <empty>

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: l4
     <empty>

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:  [ Result_4^0==Result_4^post_7 && x_5^0==x_5^post_7 && y_6^0==y_6^post_7 ]

WORST_CASE(Omega(1),?)