WORST_CASE(Omega(0),?) Initial ITS Start location: l12 0: l0 -> l1 : i^0'=i^post0, y4^0'=y4^post0, y8^0'=y8^post0, j^0'=j^post0, y6^0'=y6^post0, (y8^0-y8^post0 == 0 /\ i^0-i^post0 == 0 /\ -y6^post0+y6^0 == 0 /\ -j^post0+j^0 == 0 /\ y4^0-y4^post0 == 0), cost: 1 11: l1 -> l10 : i^0'=i^post11, y4^0'=y4^post11, y8^0'=y8^post11, j^0'=j^post11, y6^0'=y6^post11, (-i^0+y6^post11 == 0 /\ y8^0-y8^post11 == 0 /\ i^0-i^post11 == 0 /\ y4^0-y4^post11 == 0 /\ -j^post11+j^0 == 0), cost: 1 1: l2 -> l3 : i^0'=i^post1, y4^0'=y4^post1, y8^0'=y8^post1, j^0'=j^post1, y6^0'=y6^post1, (-100+j^post1 == 0 /\ -y8^post1+y8^0 == 0 /\ 100-i^0 <= 0 /\ i^0-i^post1 == 0 /\ -y6^post1+y6^0 == 0 /\ -y4^post1+y4^0 == 0), cost: 1 2: l2 -> l0 : i^0'=i^post2, y4^0'=y4^post2, y8^0'=y8^post2, j^0'=j^post2, y6^0'=y6^post2, (i^0-i^post2 == 0 /\ -99+i^0 <= 0 /\ -j^post2+j^0 == 0 /\ -y8^post2+y8^0 == 0 /\ -i^0+y4^post2 == 0 /\ -y6^post2+y6^0 == 0), cost: 1 8: l3 -> l7 : i^0'=i^post8, y4^0'=y4^post8, y8^0'=y8^post8, j^0'=j^post8, y6^0'=y6^post8, (-y6^post8+y6^0 == 0 /\ i^0-i^post8 == 0 /\ -j^post8+j^0 == 0 /\ y4^0-y4^post8 == 0 /\ -y8^post8+y8^0 == 0), cost: 1 3: l4 -> l3 : i^0'=i^post3, y4^0'=y4^post3, y8^0'=y8^post3, j^0'=j^post3, y6^0'=y6^post3, (-y6^post3+y6^0 == 0 /\ y8^0-y8^post3 == 0 /\ y4^0-y4^post3 == 0 /\ -1-j^0+j^post3 == 0 /\ i^0-i^post3 == 0), cost: 1 4: l5 -> l2 : i^0'=i^post4, y4^0'=y4^post4, y8^0'=y8^post4, j^0'=j^post4, y6^0'=y6^post4, (-y6^post4+y6^0 == 0 /\ -y8^post4+y8^0 == 0 /\ -j^post4+j^0 == 0 /\ i^0-i^post4 == 0 /\ y4^0-y4^post4 == 0), cost: 1 5: l6 -> l4 : i^0'=i^post5, y4^0'=y4^post5, y8^0'=y8^post5, j^0'=j^post5, y6^0'=y6^post5, (-y6^post5+y6^0 == 0 /\ y8^0-y8^post5 == 0 /\ i^0-i^post5 == 0 /\ -j^post5+j^0 == 0 /\ y4^0-y4^post5 == 0), cost: 1 6: l7 -> l8 : i^0'=i^post6, y4^0'=y4^post6, y8^0'=y8^post6, j^0'=j^post6, y6^0'=y6^post6, (200-j^0 <= 0 /\ y6^0-y6^post6 == 0 /\ -y8^post6+y8^0 == 0 /\ i^0-i^post6 == 0 /\ y4^0-y4^post6 == 0 /\ -j^post6+j^0 == 0), cost: 1 7: l7 -> l6 : i^0'=i^post7, y4^0'=y4^post7, y8^0'=y8^post7, j^0'=j^post7, y6^0'=y6^post7, (-j^post7+j^0 == 0 /\ y4^0-y4^post7 == 0 /\ -j^0+y8^post7 == 0 /\ i^0-i^post7 == 0 /\ -y6^post7+y6^0 == 0 /\ -199+j^0 <= 0), cost: 1 9: l9 -> l5 : i^0'=i^post9, y4^0'=y4^post9, y8^0'=y8^post9, j^0'=j^post9, y6^0'=y6^post9, (-1-i^0+i^post9 == 0 /\ -y6^post9+y6^0 == 0 /\ y8^0-y8^post9 == 0 /\ -j^post9+j^0 == 0 /\ y4^0-y4^post9 == 0), cost: 1 10: l10 -> l9 : i^0'=i^post10, y4^0'=y4^post10, y8^0'=y8^post10, j^0'=j^post10, y6^0'=y6^post10, (y6^0-y6^post10 == 0 /\ -y8^post10+y8^0 == 0 /\ -j^post10+j^0 == 0 /\ i^0-i^post10 == 0 /\ y4^0-y4^post10 == 0), cost: 1 12: l11 -> l5 : i^0'=i^post12, y4^0'=y4^post12, y8^0'=y8^post12, j^0'=j^post12, y6^0'=y6^post12, (-y8^post12+y8^0 == 0 /\ y6^0-y6^post12 == 0 /\ i^post12 == 0 /\ j^0-j^post12 == 0 /\ -y4^post12+y4^0 == 0), cost: 1 13: l12 -> l11 : i^0'=i^post13, y4^0'=y4^post13, y8^0'=y8^post13, j^0'=j^post13, y6^0'=y6^post13, (-y6^post13+y6^0 == 0 /\ y4^0-y4^post13 == 0 /\ -j^post13+j^0 == 0 /\ i^0-i^post13 == 0 /\ y8^0-y8^post13 == 0), cost: 1 Removed unreachable rules and leafs Start location: l12 0: l0 -> l1 : i^0'=i^post0, y4^0'=y4^post0, y8^0'=y8^post0, j^0'=j^post0, y6^0'=y6^post0, (y8^0-y8^post0 == 0 /\ i^0-i^post0 == 0 /\ -y6^post0+y6^0 == 0 /\ -j^post0+j^0 == 0 /\ y4^0-y4^post0 == 0), cost: 1 11: l1 -> l10 : i^0'=i^post11, y4^0'=y4^post11, y8^0'=y8^post11, j^0'=j^post11, y6^0'=y6^post11, (-i^0+y6^post11 == 0 /\ y8^0-y8^post11 == 0 /\ i^0-i^post11 == 0 /\ y4^0-y4^post11 == 0 /\ -j^post11+j^0 == 0), cost: 1 1: l2 -> l3 : i^0'=i^post1, y4^0'=y4^post1, y8^0'=y8^post1, j^0'=j^post1, y6^0'=y6^post1, (-100+j^post1 == 0 /\ -y8^post1+y8^0 == 0 /\ 100-i^0 <= 0 /\ i^0-i^post1 == 0 /\ -y6^post1+y6^0 == 0 /\ -y4^post1+y4^0 == 0), cost: 1 2: l2 -> l0 : i^0'=i^post2, y4^0'=y4^post2, y8^0'=y8^post2, j^0'=j^post2, y6^0'=y6^post2, (i^0-i^post2 == 0 /\ -99+i^0 <= 0 /\ -j^post2+j^0 == 0 /\ -y8^post2+y8^0 == 0 /\ -i^0+y4^post2 == 0 /\ -y6^post2+y6^0 == 0), cost: 1 8: l3 -> l7 : i^0'=i^post8, y4^0'=y4^post8, y8^0'=y8^post8, j^0'=j^post8, y6^0'=y6^post8, (-y6^post8+y6^0 == 0 /\ i^0-i^post8 == 0 /\ -j^post8+j^0 == 0 /\ y4^0-y4^post8 == 0 /\ -y8^post8+y8^0 == 0), cost: 1 3: l4 -> l3 : i^0'=i^post3, y4^0'=y4^post3, y8^0'=y8^post3, j^0'=j^post3, y6^0'=y6^post3, (-y6^post3+y6^0 == 0 /\ y8^0-y8^post3 == 0 /\ y4^0-y4^post3 == 0 /\ -1-j^0+j^post3 == 0 /\ i^0-i^post3 == 0), cost: 1 4: l5 -> l2 : i^0'=i^post4, y4^0'=y4^post4, y8^0'=y8^post4, j^0'=j^post4, y6^0'=y6^post4, (-y6^post4+y6^0 == 0 /\ -y8^post4+y8^0 == 0 /\ -j^post4+j^0 == 0 /\ i^0-i^post4 == 0 /\ y4^0-y4^post4 == 0), cost: 1 5: l6 -> l4 : i^0'=i^post5, y4^0'=y4^post5, y8^0'=y8^post5, j^0'=j^post5, y6^0'=y6^post5, (-y6^post5+y6^0 == 0 /\ y8^0-y8^post5 == 0 /\ i^0-i^post5 == 0 /\ -j^post5+j^0 == 0 /\ y4^0-y4^post5 == 0), cost: 1 7: l7 -> l6 : i^0'=i^post7, y4^0'=y4^post7, y8^0'=y8^post7, j^0'=j^post7, y6^0'=y6^post7, (-j^post7+j^0 == 0 /\ y4^0-y4^post7 == 0 /\ -j^0+y8^post7 == 0 /\ i^0-i^post7 == 0 /\ -y6^post7+y6^0 == 0 /\ -199+j^0 <= 0), cost: 1 9: l9 -> l5 : i^0'=i^post9, y4^0'=y4^post9, y8^0'=y8^post9, j^0'=j^post9, y6^0'=y6^post9, (-1-i^0+i^post9 == 0 /\ -y6^post9+y6^0 == 0 /\ y8^0-y8^post9 == 0 /\ -j^post9+j^0 == 0 /\ y4^0-y4^post9 == 0), cost: 1 10: l10 -> l9 : i^0'=i^post10, y4^0'=y4^post10, y8^0'=y8^post10, j^0'=j^post10, y6^0'=y6^post10, (y6^0-y6^post10 == 0 /\ -y8^post10+y8^0 == 0 /\ -j^post10+j^0 == 0 /\ i^0-i^post10 == 0 /\ y4^0-y4^post10 == 0), cost: 1 12: l11 -> l5 : i^0'=i^post12, y4^0'=y4^post12, y8^0'=y8^post12, j^0'=j^post12, y6^0'=y6^post12, (-y8^post12+y8^0 == 0 /\ y6^0-y6^post12 == 0 /\ i^post12 == 0 /\ j^0-j^post12 == 0 /\ -y4^post12+y4^0 == 0), cost: 1 13: l12 -> l11 : i^0'=i^post13, y4^0'=y4^post13, y8^0'=y8^post13, j^0'=j^post13, y6^0'=y6^post13, (-y6^post13+y6^0 == 0 /\ y4^0-y4^post13 == 0 /\ -j^post13+j^0 == 0 /\ i^0-i^post13 == 0 /\ y8^0-y8^post13 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : i^0'=i^post0, y4^0'=y4^post0, y8^0'=y8^post0, j^0'=j^post0, y6^0'=y6^post0, (y8^0-y8^post0 == 0 /\ i^0-i^post0 == 0 /\ -y6^post0+y6^0 == 0 /\ -j^post0+j^0 == 0 /\ y4^0-y4^post0 == 0), cost: 1 New rule: l0 -> l1 : TRUE, cost: 1 Applied preprocessing Original rule: l2 -> l3 : i^0'=i^post1, y4^0'=y4^post1, y8^0'=y8^post1, j^0'=j^post1, y6^0'=y6^post1, (-100+j^post1 == 0 /\ -y8^post1+y8^0 == 0 /\ 100-i^0 <= 0 /\ i^0-i^post1 == 0 /\ -y6^post1+y6^0 == 0 /\ -y4^post1+y4^0 == 0), cost: 1 New rule: l2 -> l3 : j^0'=100, -100+i^0 >= 0, cost: 1 Applied preprocessing Original rule: l2 -> l0 : i^0'=i^post2, y4^0'=y4^post2, y8^0'=y8^post2, j^0'=j^post2, y6^0'=y6^post2, (i^0-i^post2 == 0 /\ -99+i^0 <= 0 /\ -j^post2+j^0 == 0 /\ -y8^post2+y8^0 == 0 /\ -i^0+y4^post2 == 0 /\ -y6^post2+y6^0 == 0), cost: 1 New rule: l2 -> l0 : y4^0'=i^0, -99+i^0 <= 0, cost: 1 Applied preprocessing Original rule: l4 -> l3 : i^0'=i^post3, y4^0'=y4^post3, y8^0'=y8^post3, j^0'=j^post3, y6^0'=y6^post3, (-y6^post3+y6^0 == 0 /\ y8^0-y8^post3 == 0 /\ y4^0-y4^post3 == 0 /\ -1-j^0+j^post3 == 0 /\ i^0-i^post3 == 0), cost: 1 New rule: l4 -> l3 : j^0'=1+j^0, TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l2 : i^0'=i^post4, y4^0'=y4^post4, y8^0'=y8^post4, j^0'=j^post4, y6^0'=y6^post4, (-y6^post4+y6^0 == 0 /\ -y8^post4+y8^0 == 0 /\ -j^post4+j^0 == 0 /\ i^0-i^post4 == 0 /\ y4^0-y4^post4 == 0), cost: 1 New rule: l5 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l6 -> l4 : i^0'=i^post5, y4^0'=y4^post5, y8^0'=y8^post5, j^0'=j^post5, y6^0'=y6^post5, (-y6^post5+y6^0 == 0 /\ y8^0-y8^post5 == 0 /\ i^0-i^post5 == 0 /\ -j^post5+j^0 == 0 /\ y4^0-y4^post5 == 0), cost: 1 New rule: l6 -> l4 : TRUE, cost: 1 Applied preprocessing Original rule: l7 -> l6 : i^0'=i^post7, y4^0'=y4^post7, y8^0'=y8^post7, j^0'=j^post7, y6^0'=y6^post7, (-j^post7+j^0 == 0 /\ y4^0-y4^post7 == 0 /\ -j^0+y8^post7 == 0 /\ i^0-i^post7 == 0 /\ -y6^post7+y6^0 == 0 /\ -199+j^0 <= 0), cost: 1 New rule: l7 -> l6 : y8^0'=j^0, -199+j^0 <= 0, cost: 1 Applied preprocessing Original rule: l3 -> l7 : i^0'=i^post8, y4^0'=y4^post8, y8^0'=y8^post8, j^0'=j^post8, y6^0'=y6^post8, (-y6^post8+y6^0 == 0 /\ i^0-i^post8 == 0 /\ -j^post8+j^0 == 0 /\ y4^0-y4^post8 == 0 /\ -y8^post8+y8^0 == 0), cost: 1 New rule: l3 -> l7 : TRUE, cost: 1 Applied preprocessing Original rule: l9 -> l5 : i^0'=i^post9, y4^0'=y4^post9, y8^0'=y8^post9, j^0'=j^post9, y6^0'=y6^post9, (-1-i^0+i^post9 == 0 /\ -y6^post9+y6^0 == 0 /\ y8^0-y8^post9 == 0 /\ -j^post9+j^0 == 0 /\ y4^0-y4^post9 == 0), cost: 1 New rule: l9 -> l5 : i^0'=1+i^0, TRUE, cost: 1 Applied preprocessing Original rule: l10 -> l9 : i^0'=i^post10, y4^0'=y4^post10, y8^0'=y8^post10, j^0'=j^post10, y6^0'=y6^post10, (y6^0-y6^post10 == 0 /\ -y8^post10+y8^0 == 0 /\ -j^post10+j^0 == 0 /\ i^0-i^post10 == 0 /\ y4^0-y4^post10 == 0), cost: 1 New rule: l10 -> l9 : TRUE, cost: 1 Applied preprocessing Original rule: l1 -> l10 : i^0'=i^post11, y4^0'=y4^post11, y8^0'=y8^post11, j^0'=j^post11, y6^0'=y6^post11, (-i^0+y6^post11 == 0 /\ y8^0-y8^post11 == 0 /\ i^0-i^post11 == 0 /\ y4^0-y4^post11 == 0 /\ -j^post11+j^0 == 0), cost: 1 New rule: l1 -> l10 : y6^0'=i^0, TRUE, cost: 1 Applied preprocessing Original rule: l11 -> l5 : i^0'=i^post12, y4^0'=y4^post12, y8^0'=y8^post12, j^0'=j^post12, y6^0'=y6^post12, (-y8^post12+y8^0 == 0 /\ y6^0-y6^post12 == 0 /\ i^post12 == 0 /\ j^0-j^post12 == 0 /\ -y4^post12+y4^0 == 0), cost: 1 New rule: l11 -> l5 : i^0'=0, TRUE, cost: 1 Applied preprocessing Original rule: l12 -> l11 : i^0'=i^post13, y4^0'=y4^post13, y8^0'=y8^post13, j^0'=j^post13, y6^0'=y6^post13, (-y6^post13+y6^0 == 0 /\ y4^0-y4^post13 == 0 /\ -j^post13+j^0 == 0 /\ i^0-i^post13 == 0 /\ y8^0-y8^post13 == 0), cost: 1 New rule: l12 -> l11 : TRUE, cost: 1 Simplified rules Start location: l12 14: l0 -> l1 : TRUE, cost: 1 24: l1 -> l10 : y6^0'=i^0, TRUE, cost: 1 15: l2 -> l3 : j^0'=100, -100+i^0 >= 0, cost: 1 16: l2 -> l0 : y4^0'=i^0, -99+i^0 <= 0, cost: 1 21: l3 -> l7 : TRUE, cost: 1 17: l4 -> l3 : j^0'=1+j^0, TRUE, cost: 1 18: l5 -> l2 : TRUE, cost: 1 19: l6 -> l4 : TRUE, cost: 1 20: l7 -> l6 : y8^0'=j^0, -199+j^0 <= 0, cost: 1 22: l9 -> l5 : i^0'=1+i^0, TRUE, cost: 1 23: l10 -> l9 : TRUE, cost: 1 25: l11 -> l5 : i^0'=0, TRUE, cost: 1 26: l12 -> l11 : TRUE, cost: 1 Eliminating location l11 by chaining: Applied chaining First rule: l12 -> l11 : TRUE, cost: 1 Second rule: l11 -> l5 : i^0'=0, TRUE, cost: 1 New rule: l12 -> l5 : i^0'=0, TRUE, cost: 2 Applied deletion Removed the following rules: 25 26 Eliminating location l0 by chaining: Applied chaining First rule: l2 -> l0 : y4^0'=i^0, -99+i^0 <= 0, cost: 1 Second rule: l0 -> l1 : TRUE, cost: 1 New rule: l2 -> l1 : y4^0'=i^0, -99+i^0 <= 0, cost: 2 Applied deletion Removed the following rules: 14 16 Eliminating location l1 by chaining: Applied chaining First rule: l2 -> l1 : y4^0'=i^0, -99+i^0 <= 0, cost: 2 Second rule: l1 -> l10 : y6^0'=i^0, TRUE, cost: 1 New rule: l2 -> l10 : y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 3 Applied deletion Removed the following rules: 24 28 Eliminating location l10 by chaining: Applied chaining First rule: l2 -> l10 : y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 3 Second rule: l10 -> l9 : TRUE, cost: 1 New rule: l2 -> l9 : y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 4 Applied deletion Removed the following rules: 23 29 Eliminating location l9 by chaining: Applied chaining First rule: l2 -> l9 : y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 4 Second rule: l9 -> l5 : i^0'=1+i^0, TRUE, cost: 1 New rule: l2 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 5 Applied deletion Removed the following rules: 22 30 Eliminating location l7 by chaining: Applied chaining First rule: l3 -> l7 : TRUE, cost: 1 Second rule: l7 -> l6 : y8^0'=j^0, -199+j^0 <= 0, cost: 1 New rule: l3 -> l6 : y8^0'=j^0, -199+j^0 <= 0, cost: 2 Applied deletion Removed the following rules: 20 21 Eliminating location l6 by chaining: Applied chaining First rule: l3 -> l6 : y8^0'=j^0, -199+j^0 <= 0, cost: 2 Second rule: l6 -> l4 : TRUE, cost: 1 New rule: l3 -> l4 : y8^0'=j^0, -199+j^0 <= 0, cost: 3 Applied deletion Removed the following rules: 19 32 Eliminating location l4 by chaining: Applied chaining First rule: l3 -> l4 : y8^0'=j^0, -199+j^0 <= 0, cost: 3 Second rule: l4 -> l3 : j^0'=1+j^0, TRUE, cost: 1 New rule: l3 -> l3 : y8^0'=j^0, j^0'=1+j^0, -199+j^0 <= 0, cost: 4 Applied deletion Removed the following rules: 17 33 Eliminated locations on linear paths Start location: l12 15: l2 -> l3 : j^0'=100, -100+i^0 >= 0, cost: 1 31: l2 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 5 34: l3 -> l3 : y8^0'=j^0, j^0'=1+j^0, -199+j^0 <= 0, cost: 4 18: l5 -> l2 : TRUE, cost: 1 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 Applied acceleration Original rule: l3 -> l3 : y8^0'=j^0, j^0'=1+j^0, -199+j^0 <= 0, cost: 4 New rule: l3 -> l3 : y8^0'=-1+j^0+n0, j^0'=j^0+n0, (200-j^0-n0 >= 0 /\ -1+n0 >= 0), cost: 4*n0 Applied instantiation Original rule: l3 -> l3 : y8^0'=-1+j^0+n0, j^0'=j^0+n0, (200-j^0-n0 >= 0 /\ -1+n0 >= 0), cost: 4*n0 New rule: l3 -> l3 : y8^0'=199, j^0'=200, (0 >= 0 /\ 199-j^0 >= 0), cost: 800-4*j^0 Applied simplification Original rule: l3 -> l3 : y8^0'=199, j^0'=200, (0 >= 0 /\ 199-j^0 >= 0), cost: 800-4*j^0 New rule: l3 -> l3 : y8^0'=199, j^0'=200, -199+j^0 <= 0, cost: 800-4*j^0 Applied deletion Removed the following rules: 34 Accelerated simple loops Start location: l12 15: l2 -> l3 : j^0'=100, -100+i^0 >= 0, cost: 1 31: l2 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 5 36: l3 -> l3 : y8^0'=199, j^0'=200, -199+j^0 <= 0, cost: 800-4*j^0 18: l5 -> l2 : TRUE, cost: 1 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 Applied chaining First rule: l2 -> l3 : j^0'=100, -100+i^0 >= 0, cost: 1 Second rule: l3 -> l3 : y8^0'=199, j^0'=200, -199+j^0 <= 0, cost: 800-4*j^0 New rule: l2 -> l3 : y8^0'=199, j^0'=200, -100+i^0 >= 0, cost: 401 Applied deletion Removed the following rules: 36 Chained accelerated rules with incoming rules Start location: l12 15: l2 -> l3 : j^0'=100, -100+i^0 >= 0, cost: 1 31: l2 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 5 37: l2 -> l3 : y8^0'=199, j^0'=200, -100+i^0 >= 0, cost: 401 18: l5 -> l2 : TRUE, cost: 1 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 Removed unreachable locations and irrelevant leafs Start location: l12 31: l2 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 5 18: l5 -> l2 : TRUE, cost: 1 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 Eliminating location l2 by chaining: Applied chaining First rule: l5 -> l2 : TRUE, cost: 1 Second rule: l2 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 5 New rule: l5 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 6 Applied deletion Removed the following rules: 18 31 Eliminated locations on linear paths Start location: l12 38: l5 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 6 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 Applied acceleration Original rule: l5 -> l5 : i^0'=1+i^0, y4^0'=i^0, y6^0'=i^0, -99+i^0 <= 0, cost: 6 New rule: l5 -> l5 : i^0'=i^0+n3, y4^0'=-1+i^0+n3, y6^0'=-1+i^0+n3, (-1+n3 >= 0 /\ 100-i^0-n3 >= 0), cost: 6*n3 Applied instantiation Original rule: l5 -> l5 : i^0'=i^0+n3, y4^0'=-1+i^0+n3, y6^0'=-1+i^0+n3, (-1+n3 >= 0 /\ 100-i^0-n3 >= 0), cost: 6*n3 New rule: l5 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, (0 >= 0 /\ 99-i^0 >= 0), cost: 600-6*i^0 Applied simplification Original rule: l5 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, (0 >= 0 /\ 99-i^0 >= 0), cost: 600-6*i^0 New rule: l5 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, -99+i^0 <= 0, cost: 600-6*i^0 Applied deletion Removed the following rules: 38 Accelerated simple loops Start location: l12 40: l5 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, -99+i^0 <= 0, cost: 600-6*i^0 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 Applied chaining First rule: l12 -> l5 : i^0'=0, TRUE, cost: 2 Second rule: l5 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, -99+i^0 <= 0, cost: 600-6*i^0 New rule: l12 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, -99 <= 0, cost: 602 Applied deletion Removed the following rules: 40 Chained accelerated rules with incoming rules Start location: l12 27: l12 -> l5 : i^0'=0, TRUE, cost: 2 41: l12 -> l5 : i^0'=100, y4^0'=99, y6^0'=99, -99 <= 0, cost: 602 Removed unreachable locations and irrelevant leafs Start location: l12 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0