WORST_CASE(Omega(0),?) Initial ITS Start location: l7 0: l0 -> l1 : Result_4^0'=Result_4^post0, tmp_7^0'=tmp_7^post0, y_6^0'=y_6^post0, __disjvr_0^0'=__disjvr_0^post0, x_5^0'=x_5^post0, (0 == 0 /\ y_6^0-y_6^post0 == 0 /\ -x_5^post0+x_5^0 == 0 /\ x_5^0 <= 0 /\ -__disjvr_0^post0+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post0 == 0), cost: 1 1: l0 -> l1 : Result_4^0'=Result_4^post1, tmp_7^0'=tmp_7^post1, y_6^0'=y_6^post1, __disjvr_0^0'=__disjvr_0^post1, x_5^0'=x_5^post1, (0 == 0 /\ -y_6^post1+y_6^0 == 0 /\ y_6^0 <= 0 /\ __disjvr_0^0-__disjvr_0^post1 == 0 /\ -x_5^post1+x_5^0 == 0 /\ -tmp_7^post1+tmp_7^0 == 0 /\ 1-x_5^0 <= 0), cost: 1 2: l0 -> l1 : Result_4^0'=Result_4^post2, tmp_7^0'=tmp_7^post2, y_6^0'=y_6^post2, __disjvr_0^0'=__disjvr_0^post2, x_5^0'=x_5^post2, (0 == 0 /\ -__disjvr_0^post2+__disjvr_0^0 == 0 /\ -y_6^post2+y_6^0 == 0 /\ y_6^0+x_5^0 <= 0 /\ tmp_7^0-tmp_7^post2 == 0 /\ 1-y_6^0 <= 0 /\ -x_5^post2+x_5^0 == 0 /\ 1-x_5^0 <= 0), cost: 1 3: l0 -> l2 : Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, (0 == 0 /\ 1-y_6^0-x_5^0 <= 0 /\ -1-x_5^post3+y_6^post3 == 0 /\ tmp_7^post3 <= 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ 2+x_5^post3-y_6^0 == 0 /\ 1-y_6^0 <= 0 /\ -tmp_7^post3 <= 0 /\ 1-x_5^0 <= 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 5: l0 -> l4 : Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, (0 == 0 /\ 1-y_6^0-x_5^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ y_6^0-y_6^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ 1-y_6^0 <= 0 /\ 1-x_5^0 <= 0), cost: 1 4: l2 -> l0 : Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, (-x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -__disjvr_0^post4+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ tmp_7^0-tmp_7^post4 == 0), cost: 1 6: l4 -> l5 : Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, (x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ __disjvr_0^post6-__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post6 == 0 /\ -__disjvr_0^post6+__disjvr_0^0 == 0), cost: 1 7: l5 -> l3 : Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, (-__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ 1+x_5^post7-x_5^0 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ -x_5^post7+y_6^post7 == 0), cost: 1 8: l3 -> l0 : Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ Result_4^0-Result_4^post8 == 0 /\ -__disjvr_0^post8+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 9: l6 -> l0 : Result_4^0'=Result_4^post9, tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, __disjvr_0^0'=__disjvr_0^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ -__disjvr_0^post9+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0), cost: 1 10: l7 -> l6 : Result_4^0'=Result_4^post10, tmp_7^0'=tmp_7^post10, y_6^0'=y_6^post10, __disjvr_0^0'=__disjvr_0^post10, x_5^0'=x_5^post10, (x_5^0-x_5^post10 == 0 /\ -y_6^post10+y_6^0 == 0 /\ -__disjvr_0^post10+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post10 == 0 /\ tmp_7^0-tmp_7^post10 == 0), cost: 1 Removed unreachable rules and leafs Start location: l7 3: l0 -> l2 : Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, (0 == 0 /\ 1-y_6^0-x_5^0 <= 0 /\ -1-x_5^post3+y_6^post3 == 0 /\ tmp_7^post3 <= 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ 2+x_5^post3-y_6^0 == 0 /\ 1-y_6^0 <= 0 /\ -tmp_7^post3 <= 0 /\ 1-x_5^0 <= 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 5: l0 -> l4 : Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, (0 == 0 /\ 1-y_6^0-x_5^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ y_6^0-y_6^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ 1-y_6^0 <= 0 /\ 1-x_5^0 <= 0), cost: 1 4: l2 -> l0 : Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, (-x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -__disjvr_0^post4+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ tmp_7^0-tmp_7^post4 == 0), cost: 1 6: l4 -> l5 : Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, (x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ __disjvr_0^post6-__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post6 == 0 /\ -__disjvr_0^post6+__disjvr_0^0 == 0), cost: 1 7: l5 -> l3 : Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, (-__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ 1+x_5^post7-x_5^0 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ -x_5^post7+y_6^post7 == 0), cost: 1 8: l3 -> l0 : Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ Result_4^0-Result_4^post8 == 0 /\ -__disjvr_0^post8+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 9: l6 -> l0 : Result_4^0'=Result_4^post9, tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, __disjvr_0^0'=__disjvr_0^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ -__disjvr_0^post9+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0), cost: 1 10: l7 -> l6 : Result_4^0'=Result_4^post10, tmp_7^0'=tmp_7^post10, y_6^0'=y_6^post10, __disjvr_0^0'=__disjvr_0^post10, x_5^0'=x_5^post10, (x_5^0-x_5^post10 == 0 /\ -y_6^post10+y_6^0 == 0 /\ -__disjvr_0^post10+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post10 == 0 /\ tmp_7^0-tmp_7^post10 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : Result_4^0'=Result_4^post3, tmp_7^0'=tmp_7^post3, y_6^0'=y_6^post3, __disjvr_0^0'=__disjvr_0^post3, x_5^0'=x_5^post3, (0 == 0 /\ 1-y_6^0-x_5^0 <= 0 /\ -1-x_5^post3+y_6^post3 == 0 /\ tmp_7^post3 <= 0 /\ __disjvr_0^0-__disjvr_0^post3 == 0 /\ 2+x_5^post3-y_6^0 == 0 /\ 1-y_6^0 <= 0 /\ -tmp_7^post3 <= 0 /\ 1-x_5^0 <= 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 New rule: l0 -> l2 : tmp_7^0'=0, y_6^0'=-1+y_6^0, x_5^0'=-2+y_6^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 1 Applied preprocessing Original rule: l2 -> l0 : Result_4^0'=Result_4^post4, tmp_7^0'=tmp_7^post4, y_6^0'=y_6^post4, __disjvr_0^0'=__disjvr_0^post4, x_5^0'=x_5^post4, (-x_5^post4+x_5^0 == 0 /\ -y_6^post4+y_6^0 == 0 /\ -__disjvr_0^post4+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post4 == 0 /\ tmp_7^0-tmp_7^post4 == 0), cost: 1 New rule: l2 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l0 -> l4 : Result_4^0'=Result_4^post5, tmp_7^0'=tmp_7^post5, y_6^0'=y_6^post5, __disjvr_0^0'=__disjvr_0^post5, x_5^0'=x_5^post5, (0 == 0 /\ 1-y_6^0-x_5^0 <= 0 /\ -x_5^post5+x_5^0 == 0 /\ y_6^0-y_6^post5 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -__disjvr_0^post5+__disjvr_0^0 == 0 /\ 1-y_6^0 <= 0 /\ 1-x_5^0 <= 0), cost: 1 New rule: l0 -> l4 : tmp_7^0'=tmp_7^post5, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 1 Applied preprocessing Original rule: l4 -> l5 : Result_4^0'=Result_4^post6, tmp_7^0'=tmp_7^post6, y_6^0'=y_6^post6, __disjvr_0^0'=__disjvr_0^post6, x_5^0'=x_5^post6, (x_5^0-x_5^post6 == 0 /\ -y_6^post6+y_6^0 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ __disjvr_0^post6-__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post6 == 0 /\ -__disjvr_0^post6+__disjvr_0^0 == 0), cost: 1 New rule: l4 -> l5 : 0 == 0, cost: 1 Applied preprocessing Original rule: l5 -> l3 : Result_4^0'=Result_4^post7, tmp_7^0'=tmp_7^post7, y_6^0'=y_6^post7, __disjvr_0^0'=__disjvr_0^post7, x_5^0'=x_5^post7, (-__disjvr_0^post7+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post7 == 0 /\ 1+x_5^post7-x_5^0 == 0 /\ Result_4^0-Result_4^post7 == 0 /\ -x_5^post7+y_6^post7 == 0), cost: 1 New rule: l5 -> l3 : y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l0 : Result_4^0'=Result_4^post8, tmp_7^0'=tmp_7^post8, y_6^0'=y_6^post8, __disjvr_0^0'=__disjvr_0^post8, x_5^0'=x_5^post8, (-x_5^post8+x_5^0 == 0 /\ Result_4^0-Result_4^post8 == 0 /\ -__disjvr_0^post8+__disjvr_0^0 == 0 /\ tmp_7^0-tmp_7^post8 == 0 /\ -y_6^post8+y_6^0 == 0), cost: 1 New rule: l3 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l0 : Result_4^0'=Result_4^post9, tmp_7^0'=tmp_7^post9, y_6^0'=y_6^post9, __disjvr_0^0'=__disjvr_0^post9, x_5^0'=x_5^post9, (-x_5^post9+x_5^0 == 0 /\ y_6^0-y_6^post9 == 0 /\ -__disjvr_0^post9+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post9 == 0 /\ tmp_7^0-tmp_7^post9 == 0), cost: 1 New rule: l6 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l6 : Result_4^0'=Result_4^post10, tmp_7^0'=tmp_7^post10, y_6^0'=y_6^post10, __disjvr_0^0'=__disjvr_0^post10, x_5^0'=x_5^post10, (x_5^0-x_5^post10 == 0 /\ -y_6^post10+y_6^0 == 0 /\ -__disjvr_0^post10+__disjvr_0^0 == 0 /\ Result_4^0-Result_4^post10 == 0 /\ tmp_7^0-tmp_7^post10 == 0), cost: 1 New rule: l7 -> l6 : TRUE, cost: 1 Simplified rules Start location: l7 11: l0 -> l2 : tmp_7^0'=0, y_6^0'=-1+y_6^0, x_5^0'=-2+y_6^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 1 13: l0 -> l4 : tmp_7^0'=tmp_7^post5, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 1 12: l2 -> l0 : TRUE, cost: 1 14: l4 -> l5 : 0 == 0, cost: 1 15: l5 -> l3 : y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, TRUE, cost: 1 16: l3 -> l0 : TRUE, cost: 1 17: l6 -> l0 : TRUE, cost: 1 18: 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: 17 18 Eliminating location l2 by chaining: Applied chaining First rule: l0 -> l2 : tmp_7^0'=0, y_6^0'=-1+y_6^0, x_5^0'=-2+y_6^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 1 Second rule: l2 -> l0 : TRUE, cost: 1 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, x_5^0'=-2+y_6^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 Applied deletion Removed the following rules: 11 12 Eliminating location l4 by chaining: Applied chaining First rule: l0 -> l4 : tmp_7^0'=tmp_7^post5, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 1 Second rule: l4 -> l5 : 0 == 0, cost: 1 New rule: l0 -> l5 : tmp_7^0'=tmp_7^post5, (0 == 0 /\ -1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 Applied simplification Original rule: l0 -> l5 : tmp_7^0'=tmp_7^post5, (0 == 0 /\ -1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 New rule: l0 -> l5 : tmp_7^0'=tmp_7^post5, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 Applied deletion Removed the following rules: 13 14 Eliminating location l5 by chaining: Applied chaining First rule: l0 -> l5 : tmp_7^0'=tmp_7^post5, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 Second rule: l5 -> l3 : y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, TRUE, cost: 1 New rule: l0 -> l3 : tmp_7^0'=tmp_7^post5, y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 3 Applied deletion Removed the following rules: 15 21 Eliminating location l3 by chaining: Applied chaining First rule: l0 -> l3 : tmp_7^0'=tmp_7^post5, y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 3 Second rule: l3 -> l0 : TRUE, cost: 1 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4 Applied deletion Removed the following rules: 16 22 Eliminated locations on linear paths Start location: l7 20: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, x_5^0'=-2+y_6^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 23: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4 19: l7 -> l0 : TRUE, cost: 2 Applied acceleration Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-1+y_6^0, x_5^0'=-2+y_6^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-n1+y_6^0, x_5^0'=-1-n1+y_6^0, (-n1+y_6^0 >= 0 /\ -1-n1+y_6^0 >= 0 /\ -1+n1 >= 0 /\ -1+x_5^0 >= 0), cost: 2*n1 Applied instantiation Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-n1+y_6^0, x_5^0'=-1-n1+y_6^0, (-n1+y_6^0 >= 0 /\ -1-n1+y_6^0 >= 0 /\ -1+n1 >= 0 /\ -1+x_5^0 >= 0), cost: 2*n1 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=0, x_5^0'=-1, (0 >= 0 /\ -1+y_6^0 >= 0 /\ -1 >= 0 /\ -1+x_5^0 >= 0), cost: 2*y_6^0 Applied instantiation Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=-n1+y_6^0, x_5^0'=-1-n1+y_6^0, (-n1+y_6^0 >= 0 /\ -1-n1+y_6^0 >= 0 /\ -1+n1 >= 0 /\ -1+x_5^0 >= 0), cost: 2*n1 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (0 >= 0 /\ 1 >= 0 /\ -2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: -2+2*y_6^0 Applied acceleration Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=-1+x_5^0, x_5^0'=-1+x_5^0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=-n4+x_5^0, x_5^0'=-n4+x_5^0, (-n4+x_5^0 >= 0 /\ -1+y_6^0 >= 0 /\ -1+n4 >= 0), cost: 4*n4 Applied instantiation Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=-n4+x_5^0, x_5^0'=-n4+x_5^0, (-n4+x_5^0 >= 0 /\ -1+y_6^0 >= 0 /\ -1+n4 >= 0), cost: 4*n4 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (0 >= 0 /\ -1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4*x_5^0 Applied simplification Original rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (0 >= 0 /\ 1 >= 0 /\ -2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: -2+2*y_6^0 New rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (-2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: -2+2*y_6^0 Applied simplification Original rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (0 >= 0 /\ -1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4*x_5^0 New rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4*x_5^0 Applied deletion Removed the following rules: 20 23 Accelerated simple loops Start location: l7 24: l0 -> l0 : tmp_7^0'=0, y_6^0'=0, x_5^0'=-1, (0 >= 0 /\ -1+y_6^0 >= 0 /\ -1 >= 0 /\ -1+x_5^0 >= 0), cost: 2*y_6^0 27: l0 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (-2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: -2+2*y_6^0 28: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4*x_5^0 19: l7 -> l0 : TRUE, cost: 2 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (-2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: -2+2*y_6^0 New rule: l7 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (-2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2*y_6^0 Applied chaining First rule: l7 -> l0 : TRUE, cost: 2 Second rule: l0 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 4*x_5^0 New rule: l7 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2+4*x_5^0 Applied deletion Removed the following rules: 24 27 28 Chained accelerated rules with incoming rules Start location: l7 19: l7 -> l0 : TRUE, cost: 2 29: l7 -> l0 : tmp_7^0'=0, y_6^0'=1, x_5^0'=0, (-2+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2*y_6^0 30: l7 -> l0 : tmp_7^0'=tmp_7^post5, y_6^0'=0, x_5^0'=0, (-1+y_6^0 >= 0 /\ -1+x_5^0 >= 0), cost: 2+4*x_5^0 Removed unreachable locations and irrelevant leafs Start location: l7 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0