WORST_CASE(Omega(0),?)

Initial ITS
Start location: l7
   0: l0 -> l1 : Result^0'=Result^post0, __disjvr_0^0'=__disjvr_0^post0, y^0'=y^post0, __const_99^0'=__const_99^post0, x^0'=x^post0, (0 == 0 /\ y^0-y^post0 == 0 /\ -x^post0+x^0 == 0 /\ -__const_99^post0+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post0 == 0 /\ -x^0 <= 0), cost: 1
   1: l0 -> l3 : Result^0'=Result^post1, __disjvr_0^0'=__disjvr_0^post1, y^0'=y^post1, __const_99^0'=__const_99^post1, x^0'=x^post1, (1+x^0 <= 0 /\ -y^post1+y^0 == 0 /\ Result^0-Result^post1 == 0 /\ __const_99^0-__const_99^post1 == 0 /\ -x^post1+x^0 == 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0), cost: 1
   5: l0 -> l5 : Result^0'=Result^post5, __disjvr_0^0'=__disjvr_0^post5, y^0'=y^post5, __const_99^0'=__const_99^post5, x^0'=x^post5, (-1-y^0+y^post5 == 0 /\ 1+x^0 <= 0 /\ 1+y^0 <= 0 /\ -1-y^0 <= 0 /\ Result^0-Result^post5 == 0 /\ -__const_99^post5+__const_99^0 == 0 /\ x^post5+__const_99^0-x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0), cost: 1
   2: l3 -> l4 : Result^0'=Result^post2, __disjvr_0^0'=__disjvr_0^post2, y^0'=y^post2, __const_99^0'=__const_99^post2, x^0'=x^post2, (Result^0-Result^post2 == 0 /\ -__const_99^post2+__const_99^0 == 0 /\ -y^post2+y^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -__disjvr_0^0+__disjvr_0^post2 == 0 /\ -x^post2+x^0 == 0), cost: 1
   3: l4 -> l2 : Result^0'=Result^post3, __disjvr_0^0'=__disjvr_0^post3, y^0'=y^post3, __const_99^0'=__const_99^post3, x^0'=x^post3, (__const_99^0-__const_99^post3 == 0 /\ -1+x^post3-x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ -1-y^0+y^post3 == 0 /\ Result^0-Result^post3 == 0), cost: 1
   4: l2 -> l0 : Result^0'=Result^post4, __disjvr_0^0'=__disjvr_0^post4, y^0'=y^post4, __const_99^0'=__const_99^post4, x^0'=x^post4, (-x^post4+x^0 == 0 /\ -y^post4+y^0 == 0 /\ -__const_99^post4+__const_99^0 == 0 /\ Result^0-Result^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0), cost: 1
   6: l5 -> l0 : Result^0'=Result^post6, __disjvr_0^0'=__disjvr_0^post6, y^0'=y^post6, __const_99^0'=__const_99^post6, x^0'=x^post6, (x^0-x^post6 == 0 /\ -y^post6+y^0 == 0 /\ Result^0-Result^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ -__const_99^post6+__const_99^0 == 0), cost: 1
   7: l6 -> l0 : Result^0'=Result^post7, __disjvr_0^0'=__disjvr_0^post7, y^0'=y^post7, __const_99^0'=__const_99^post7, x^0'=x^post7, (-__const_99^post7+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ Result^0-Result^post7 == 0 /\ y^0-y^post7 == 0 /\ -x^post7+x^0 == 0), cost: 1
   8: l7 -> l6 : Result^0'=Result^post8, __disjvr_0^0'=__disjvr_0^post8, y^0'=y^post8, __const_99^0'=__const_99^post8, x^0'=x^post8, (-x^post8+x^0 == 0 /\ Result^0-Result^post8 == 0 /\ -__const_99^post8+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0 /\ -y^post8+y^0 == 0), cost: 1


Removed unreachable rules and leafs
Start location: l7
   1: l0 -> l3 : Result^0'=Result^post1, __disjvr_0^0'=__disjvr_0^post1, y^0'=y^post1, __const_99^0'=__const_99^post1, x^0'=x^post1, (1+x^0 <= 0 /\ -y^post1+y^0 == 0 /\ Result^0-Result^post1 == 0 /\ __const_99^0-__const_99^post1 == 0 /\ -x^post1+x^0 == 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0), cost: 1
   5: l0 -> l5 : Result^0'=Result^post5, __disjvr_0^0'=__disjvr_0^post5, y^0'=y^post5, __const_99^0'=__const_99^post5, x^0'=x^post5, (-1-y^0+y^post5 == 0 /\ 1+x^0 <= 0 /\ 1+y^0 <= 0 /\ -1-y^0 <= 0 /\ Result^0-Result^post5 == 0 /\ -__const_99^post5+__const_99^0 == 0 /\ x^post5+__const_99^0-x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0), cost: 1
   2: l3 -> l4 : Result^0'=Result^post2, __disjvr_0^0'=__disjvr_0^post2, y^0'=y^post2, __const_99^0'=__const_99^post2, x^0'=x^post2, (Result^0-Result^post2 == 0 /\ -__const_99^post2+__const_99^0 == 0 /\ -y^post2+y^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -__disjvr_0^0+__disjvr_0^post2 == 0 /\ -x^post2+x^0 == 0), cost: 1
   3: l4 -> l2 : Result^0'=Result^post3, __disjvr_0^0'=__disjvr_0^post3, y^0'=y^post3, __const_99^0'=__const_99^post3, x^0'=x^post3, (__const_99^0-__const_99^post3 == 0 /\ -1+x^post3-x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ -1-y^0+y^post3 == 0 /\ Result^0-Result^post3 == 0), cost: 1
   4: l2 -> l0 : Result^0'=Result^post4, __disjvr_0^0'=__disjvr_0^post4, y^0'=y^post4, __const_99^0'=__const_99^post4, x^0'=x^post4, (-x^post4+x^0 == 0 /\ -y^post4+y^0 == 0 /\ -__const_99^post4+__const_99^0 == 0 /\ Result^0-Result^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0), cost: 1
   6: l5 -> l0 : Result^0'=Result^post6, __disjvr_0^0'=__disjvr_0^post6, y^0'=y^post6, __const_99^0'=__const_99^post6, x^0'=x^post6, (x^0-x^post6 == 0 /\ -y^post6+y^0 == 0 /\ Result^0-Result^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ -__const_99^post6+__const_99^0 == 0), cost: 1
   7: l6 -> l0 : Result^0'=Result^post7, __disjvr_0^0'=__disjvr_0^post7, y^0'=y^post7, __const_99^0'=__const_99^post7, x^0'=x^post7, (-__const_99^post7+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ Result^0-Result^post7 == 0 /\ y^0-y^post7 == 0 /\ -x^post7+x^0 == 0), cost: 1
   8: l7 -> l6 : Result^0'=Result^post8, __disjvr_0^0'=__disjvr_0^post8, y^0'=y^post8, __const_99^0'=__const_99^post8, x^0'=x^post8, (-x^post8+x^0 == 0 /\ Result^0-Result^post8 == 0 /\ -__const_99^post8+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0 /\ -y^post8+y^0 == 0), cost: 1


Applied preprocessing
Original rule:
l0 -> l3 : Result^0'=Result^post1, __disjvr_0^0'=__disjvr_0^post1, y^0'=y^post1, __const_99^0'=__const_99^post1, x^0'=x^post1, (1+x^0 <= 0 /\ -y^post1+y^0 == 0 /\ Result^0-Result^post1 == 0 /\ __const_99^0-__const_99^post1 == 0 /\ -x^post1+x^0 == 0 /\ -__disjvr_0^post1+__disjvr_0^0 == 0), cost: 1
New rule:
l0 -> l3 : 1+x^0 <= 0, cost: 1

Applied preprocessing
Original rule:
l3 -> l4 : Result^0'=Result^post2, __disjvr_0^0'=__disjvr_0^post2, y^0'=y^post2, __const_99^0'=__const_99^post2, x^0'=x^post2, (Result^0-Result^post2 == 0 /\ -__const_99^post2+__const_99^0 == 0 /\ -y^post2+y^0 == 0 /\ __disjvr_0^0-__disjvr_0^post2 == 0 /\ -__disjvr_0^0+__disjvr_0^post2 == 0 /\ -x^post2+x^0 == 0), cost: 1
New rule:
l3 -> l4 : 0 == 0, cost: 1

Applied preprocessing
Original rule:
l4 -> l2 : Result^0'=Result^post3, __disjvr_0^0'=__disjvr_0^post3, y^0'=y^post3, __const_99^0'=__const_99^post3, x^0'=x^post3, (__const_99^0-__const_99^post3 == 0 /\ -1+x^post3-x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ -1-y^0+y^post3 == 0 /\ Result^0-Result^post3 == 0), cost: 1
New rule:
l4 -> l2 : y^0'=1+y^0, x^0'=1+x^0, TRUE, cost: 1

Applied preprocessing
Original rule:
l2 -> l0 : Result^0'=Result^post4, __disjvr_0^0'=__disjvr_0^post4, y^0'=y^post4, __const_99^0'=__const_99^post4, x^0'=x^post4, (-x^post4+x^0 == 0 /\ -y^post4+y^0 == 0 /\ -__const_99^post4+__const_99^0 == 0 /\ Result^0-Result^post4 == 0 /\ __disjvr_0^0-__disjvr_0^post4 == 0), cost: 1
New rule:
l2 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l0 -> l5 : Result^0'=Result^post5, __disjvr_0^0'=__disjvr_0^post5, y^0'=y^post5, __const_99^0'=__const_99^post5, x^0'=x^post5, (-1-y^0+y^post5 == 0 /\ 1+x^0 <= 0 /\ 1+y^0 <= 0 /\ -1-y^0 <= 0 /\ Result^0-Result^post5 == 0 /\ -__const_99^post5+__const_99^0 == 0 /\ x^post5+__const_99^0-x^0 == 0 /\ __disjvr_0^0-__disjvr_0^post5 == 0), cost: 1
New rule:
l0 -> l5 : y^0'=1+y^0, x^0'=-__const_99^0+x^0, (1+x^0 <= 0 /\ 1+y^0 == 0), cost: 1

Applied preprocessing
Original rule:
l5 -> l0 : Result^0'=Result^post6, __disjvr_0^0'=__disjvr_0^post6, y^0'=y^post6, __const_99^0'=__const_99^post6, x^0'=x^post6, (x^0-x^post6 == 0 /\ -y^post6+y^0 == 0 /\ Result^0-Result^post6 == 0 /\ __disjvr_0^0-__disjvr_0^post6 == 0 /\ -__const_99^post6+__const_99^0 == 0), cost: 1
New rule:
l5 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l6 -> l0 : Result^0'=Result^post7, __disjvr_0^0'=__disjvr_0^post7, y^0'=y^post7, __const_99^0'=__const_99^post7, x^0'=x^post7, (-__const_99^post7+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post7 == 0 /\ Result^0-Result^post7 == 0 /\ y^0-y^post7 == 0 /\ -x^post7+x^0 == 0), cost: 1
New rule:
l6 -> l0 : TRUE, cost: 1

Applied preprocessing
Original rule:
l7 -> l6 : Result^0'=Result^post8, __disjvr_0^0'=__disjvr_0^post8, y^0'=y^post8, __const_99^0'=__const_99^post8, x^0'=x^post8, (-x^post8+x^0 == 0 /\ Result^0-Result^post8 == 0 /\ -__const_99^post8+__const_99^0 == 0 /\ __disjvr_0^0-__disjvr_0^post8 == 0 /\ -y^post8+y^0 == 0), cost: 1
New rule:
l7 -> l6 : TRUE, cost: 1

Simplified rules
Start location: l7
   9: l0 -> l3 : 1+x^0 <= 0, cost: 1
  13: l0 -> l5 : y^0'=1+y^0, x^0'=-__const_99^0+x^0, (1+x^0 <= 0 /\ 1+y^0 == 0), cost: 1
  10: l3 -> l4 : 0 == 0, cost: 1
  11: l4 -> l2 : y^0'=1+y^0, x^0'=1+x^0, TRUE, cost: 1
  12: l2 -> l0 : TRUE, cost: 1
  14: l5 -> l0 : TRUE, cost: 1
  15: l6 -> l0 : TRUE, cost: 1
  16: l7 -> l6 : TRUE, cost: 1


Eliminating location l6 by chaining:

Applied chaining
First rule:
l7 -> l6 : TRUE, cost: 1
Second rule:
l6 -> l0 : TRUE, cost: 1
New rule:
l7 -> l0 : TRUE, cost: 2

Applied deletion
Removed the following rules: 15 16

Eliminating location l3 by chaining:

Applied chaining
First rule:
l0 -> l3 : 1+x^0 <= 0, cost: 1
Second rule:
l3 -> l4 : 0 == 0, cost: 1
New rule:
l0 -> l4 : (0 == 0 /\ 1+x^0 <= 0), cost: 2

Applied simplification
Original rule:
l0 -> l4 : (0 == 0 /\ 1+x^0 <= 0), cost: 2
New rule:
l0 -> l4 : 1+x^0 <= 0, cost: 2

Applied deletion
Removed the following rules: 9 10

Eliminating location l5 by chaining:

Applied chaining
First rule:
l0 -> l5 : y^0'=1+y^0, x^0'=-__const_99^0+x^0, (1+x^0 <= 0 /\ 1+y^0 == 0), cost: 1
Second rule:
l5 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : y^0'=1+y^0, x^0'=-__const_99^0+x^0, (1+x^0 <= 0 /\ 1+y^0 == 0), cost: 2

Applied deletion
Removed the following rules: 13 14

Eliminating location l4 by chaining:

Applied chaining
First rule:
l0 -> l4 : 1+x^0 <= 0, cost: 2
Second rule:
l4 -> l2 : y^0'=1+y^0, x^0'=1+x^0, TRUE, cost: 1
New rule:
l0 -> l2 : y^0'=1+y^0, x^0'=1+x^0, 1+x^0 <= 0, cost: 3

Applied deletion
Removed the following rules: 11 18

Eliminating location l2 by chaining:

Applied chaining
First rule:
l0 -> l2 : y^0'=1+y^0, x^0'=1+x^0, 1+x^0 <= 0, cost: 3
Second rule:
l2 -> l0 : TRUE, cost: 1
New rule:
l0 -> l0 : y^0'=1+y^0, x^0'=1+x^0, 1+x^0 <= 0, cost: 4

Applied deletion
Removed the following rules: 12 20

Eliminated locations on linear paths
Start location: l7
  19: l0 -> l0 : y^0'=1+y^0, x^0'=-__const_99^0+x^0, (1+x^0 <= 0 /\ 1+y^0 == 0), cost: 2
  21: l0 -> l0 : y^0'=1+y^0, x^0'=1+x^0, 1+x^0 <= 0, cost: 4
  17: l7 -> l0 : TRUE, cost: 2


Applied acceleration
Original rule:
l0 -> l0 : y^0'=1+y^0, x^0'=-__const_99^0+x^0, (1+x^0 <= 0 /\ 1+y^0 == 0), cost: 2
New rule:
l0 -> l0 : y^0'=y^0+n1, x^0'=-n1*__const_99^0+x^0, (-1-x^0 >= 0 /\ 1+y^0 >= 0 /\ -1-y^0 >= 0 /\ -1+(-1+n1)*__const_99^0-x^0 >= 0 /\ n1 >= 0 /\ -y^0-n1 >= 0), cost: 2*n1

Applied instantiation
Original rule:
l0 -> l0 : y^0'=y^0+n1, x^0'=-n1*__const_99^0+x^0, (-1-x^0 >= 0 /\ 1+y^0 >= 0 /\ -1-y^0 >= 0 /\ -1+(-1+n1)*__const_99^0-x^0 >= 0 /\ n1 >= 0 /\ -y^0-n1 >= 0), cost: 2*n1
New rule:
l0 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (0 >= 0 /\ -1-x^0 >= 0 /\ -1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 >= 0 /\ -1-y^0 >= 0 /\ -y^0 >= 0), cost: -2*y^0

Applied acceleration
Original rule:
l0 -> l0 : y^0'=1+y^0, x^0'=1+x^0, 1+x^0 <= 0, cost: 4
New rule:
l0 -> l0 : y^0'=y^0+n3, x^0'=n3+x^0, (n3 >= 0 /\ -n3-x^0 >= 0), cost: 4*n3

Applied instantiation
Original rule:
l0 -> l0 : y^0'=y^0+n3, x^0'=n3+x^0, (n3 >= 0 /\ -n3-x^0 >= 0), cost: 4*n3
New rule:
l0 -> l0 : y^0'=y^0-x^0, x^0'=0, (0 >= 0 /\ -x^0 >= 0), cost: -4*x^0

Applied simplification
Original rule:
l0 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (0 >= 0 /\ -1-x^0 >= 0 /\ -1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 >= 0 /\ -1-y^0 >= 0 /\ -y^0 >= 0), cost: -2*y^0
New rule:
l0 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (-1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 <= 0 /\ 1+y^0 >= 0), cost: -2*y^0

Applied simplification
Original rule:
l0 -> l0 : y^0'=y^0-x^0, x^0'=0, (0 >= 0 /\ -x^0 >= 0), cost: -4*x^0
New rule:
l0 -> l0 : y^0'=y^0-x^0, x^0'=0, x^0 <= 0, cost: -4*x^0

Applied deletion
Removed the following rules: 19 21

Accelerated simple loops
Start location: l7
  24: l0 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (-1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 <= 0 /\ 1+y^0 >= 0), cost: -2*y^0
  25: l0 -> l0 : y^0'=y^0-x^0, x^0'=0, x^0 <= 0, cost: -4*x^0
  17: l7 -> l0 : TRUE, cost: 2


Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (-1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 <= 0 /\ 1+y^0 >= 0), cost: -2*y^0
New rule:
l7 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (-1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 == 0), cost: 2-2*y^0

Applied chaining
First rule:
l7 -> l0 : TRUE, cost: 2
Second rule:
l0 -> l0 : y^0'=y^0-x^0, x^0'=0, x^0 <= 0, cost: -4*x^0
New rule:
l7 -> l0 : y^0'=y^0-x^0, x^0'=0, x^0 <= 0, cost: 2-4*x^0

Applied deletion
Removed the following rules: 24 25

Chained accelerated rules with incoming rules
Start location: l7
  17: l7 -> l0 : TRUE, cost: 2
  26: l7 -> l0 : y^0'=0, x^0'=y^0*__const_99^0+x^0, (-1-(1+y^0)*__const_99^0-x^0 >= 0 /\ 1+y^0 == 0), cost: 2-2*y^0
  27: l7 -> l0 : y^0'=y^0-x^0, x^0'=0, x^0 <= 0, cost: 2-4*x^0


Removed unreachable locations and irrelevant leafs
Start location: l7
  <empty>


Computing asymptotic complexity

Proved the following lower bound
Complexity:  Unknown
Cpx degree: ?

Solved cost: 0
Rule cost:   0