WORST_CASE(Omega(0),?) Initial ITS Start location: l5 0: l0 -> l1 : __const_5000^0'=__const_5000^post0, y_28^0'=y_28^post0, x_27^0'=x_27^post0, y_16^0'=y_16^post0, x_13^0'=x_13^post0, y_33^0'=y_33^post0, x_32^0'=x_32^post0, (0 == 0 /\ y_28^0-y_28^post0 == 0 /\ __const_5000^0-__const_5000^post0 == 0 /\ -y_33^post0+y_33^0 == 0 /\ -x_27^post0+x_27^0 == 0 /\ -x_32^post0+x_32^0 == 0), cost: 1 1: l1 -> l2 : __const_5000^0'=__const_5000^post1, y_28^0'=y_28^post1, x_27^0'=x_27^post1, y_16^0'=y_16^post1, x_13^0'=x_13^post1, y_33^0'=y_33^post1, x_32^0'=x_32^post1, (x_13^0-x_13^post1 == 0 /\ 1-y_16^post1 <= 0 /\ -x_32^post1+x_32^0 == 0 /\ 1-x_13^0 <= 0 /\ y_28^0-y_28^post1 == 0 /\ -__const_5000^0+y_16^post1 == 0 /\ x_27^0-x_27^post1 == 0 /\ __const_5000^0-__const_5000^post1 == 0 /\ -y_33^post1+y_33^0 == 0), cost: 1 3: l2 -> l1 : __const_5000^0'=__const_5000^post3, y_28^0'=y_28^post3, x_27^0'=x_27^post3, y_16^0'=y_16^post3, x_13^0'=x_13^post3, y_33^0'=y_33^post3, x_32^0'=x_32^post3, (__const_5000^0-__const_5000^post3 == 0 /\ y_28^0-y_28^post3 == 0 /\ x_27^0-x_27^post3 == 0 /\ -x_13^post3+x_13^0 == 0 /\ y_16^0 <= 0 /\ -x_32^post3+x_32^0 == 0 /\ -y_33^post3+y_33^0 == 0 /\ y_16^0-y_16^post3 == 0), cost: 1 4: l2 -> l4 : __const_5000^0'=__const_5000^post4, y_28^0'=y_28^post4, x_27^0'=x_27^post4, y_16^0'=y_16^post4, x_13^0'=x_13^post4, y_33^0'=y_33^post4, x_32^0'=x_32^post4, (0 == 0 /\ 1-y_33^post4+y_16^post4 <= 0 /\ 1-y_33^post4 <= 0 /\ 1+x_13^post4-x_13^0 == 0 /\ y_28^0-y_28^post4 == 0 /\ -1-x_13^post4+x_32^post4 <= 0 /\ x_27^0-x_27^post4 == 0 /\ __const_5000^0-__const_5000^post4 == 0 /\ -1+y_33^post4-y_16^post4 <= 0 /\ 1-y_16^0 <= 0 /\ 1-y_16^0+y_16^post4 == 0 /\ 1+x_13^post4-x_32^post4 <= 0), cost: 1 2: l3 -> l2 : __const_5000^0'=__const_5000^post2, y_28^0'=y_28^post2, x_27^0'=x_27^post2, y_16^0'=y_16^post2, x_13^0'=x_13^post2, y_33^0'=y_33^post2, x_32^0'=x_32^post2, (0 == 0 /\ 1-y_28^post2 <= 0 /\ -y_33^post2+y_33^0 == 0 /\ -x_32^post2+x_32^0 == 0 /\ 1+x_13^post2-x_27^post2 <= 0 /\ -1+y_28^post2-y_16^post2 <= 0 /\ __const_5000^0-__const_5000^post2 == 0 /\ -1-x_13^post2+x_27^post2 <= 0 /\ 1-x_27^post2 <= 0 /\ 1-y_16^0 <= 0 /\ 1-y_28^post2+y_16^post2 <= 0 /\ 1-y_16^0+y_16^post2 == 0 /\ 1+x_13^post2-x_13^0 == 0), cost: 1 5: l4 -> l2 : __const_5000^0'=__const_5000^post5, y_28^0'=y_28^post5, x_27^0'=x_27^post5, y_16^0'=y_16^post5, x_13^0'=x_13^post5, y_33^0'=y_33^post5, x_32^0'=x_32^post5, (-x_32^post5+x_32^0 == 0 /\ -y_33^post5+y_33^0 == 0 /\ y_28^0-y_28^post5 == 0 /\ -y_16^post5+y_16^0 == 0 /\ x_27^0-x_27^post5 == 0 /\ __const_5000^0-__const_5000^post5 == 0 /\ -x_13^post5+x_13^0 == 0), cost: 1 6: l5 -> l0 : __const_5000^0'=__const_5000^post6, y_28^0'=y_28^post6, x_27^0'=x_27^post6, y_16^0'=y_16^post6, x_13^0'=x_13^post6, y_33^0'=y_33^post6, x_32^0'=x_32^post6, (-y_33^post6+y_33^0 == 0 /\ x_32^0-x_32^post6 == 0 /\ -x_13^post6+x_13^0 == 0 /\ __const_5000^0-__const_5000^post6 == 0 /\ y_28^0-y_28^post6 == 0 /\ x_27^0-x_27^post6 == 0 /\ -y_16^post6+y_16^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l5 0: l0 -> l1 : __const_5000^0'=__const_5000^post0, y_28^0'=y_28^post0, x_27^0'=x_27^post0, y_16^0'=y_16^post0, x_13^0'=x_13^post0, y_33^0'=y_33^post0, x_32^0'=x_32^post0, (0 == 0 /\ y_28^0-y_28^post0 == 0 /\ __const_5000^0-__const_5000^post0 == 0 /\ -y_33^post0+y_33^0 == 0 /\ -x_27^post0+x_27^0 == 0 /\ -x_32^post0+x_32^0 == 0), cost: 1 1: l1 -> l2 : __const_5000^0'=__const_5000^post1, y_28^0'=y_28^post1, x_27^0'=x_27^post1, y_16^0'=y_16^post1, x_13^0'=x_13^post1, y_33^0'=y_33^post1, x_32^0'=x_32^post1, (x_13^0-x_13^post1 == 0 /\ 1-y_16^post1 <= 0 /\ -x_32^post1+x_32^0 == 0 /\ 1-x_13^0 <= 0 /\ y_28^0-y_28^post1 == 0 /\ -__const_5000^0+y_16^post1 == 0 /\ x_27^0-x_27^post1 == 0 /\ __const_5000^0-__const_5000^post1 == 0 /\ -y_33^post1+y_33^0 == 0), cost: 1 3: l2 -> l1 : __const_5000^0'=__const_5000^post3, y_28^0'=y_28^post3, x_27^0'=x_27^post3, y_16^0'=y_16^post3, x_13^0'=x_13^post3, y_33^0'=y_33^post3, x_32^0'=x_32^post3, (__const_5000^0-__const_5000^post3 == 0 /\ y_28^0-y_28^post3 == 0 /\ x_27^0-x_27^post3 == 0 /\ -x_13^post3+x_13^0 == 0 /\ y_16^0 <= 0 /\ -x_32^post3+x_32^0 == 0 /\ -y_33^post3+y_33^0 == 0 /\ y_16^0-y_16^post3 == 0), cost: 1 4: l2 -> l4 : __const_5000^0'=__const_5000^post4, y_28^0'=y_28^post4, x_27^0'=x_27^post4, y_16^0'=y_16^post4, x_13^0'=x_13^post4, y_33^0'=y_33^post4, x_32^0'=x_32^post4, (0 == 0 /\ 1-y_33^post4+y_16^post4 <= 0 /\ 1-y_33^post4 <= 0 /\ 1+x_13^post4-x_13^0 == 0 /\ y_28^0-y_28^post4 == 0 /\ -1-x_13^post4+x_32^post4 <= 0 /\ x_27^0-x_27^post4 == 0 /\ __const_5000^0-__const_5000^post4 == 0 /\ -1+y_33^post4-y_16^post4 <= 0 /\ 1-y_16^0 <= 0 /\ 1-y_16^0+y_16^post4 == 0 /\ 1+x_13^post4-x_32^post4 <= 0), cost: 1 5: l4 -> l2 : __const_5000^0'=__const_5000^post5, y_28^0'=y_28^post5, x_27^0'=x_27^post5, y_16^0'=y_16^post5, x_13^0'=x_13^post5, y_33^0'=y_33^post5, x_32^0'=x_32^post5, (-x_32^post5+x_32^0 == 0 /\ -y_33^post5+y_33^0 == 0 /\ y_28^0-y_28^post5 == 0 /\ -y_16^post5+y_16^0 == 0 /\ x_27^0-x_27^post5 == 0 /\ __const_5000^0-__const_5000^post5 == 0 /\ -x_13^post5+x_13^0 == 0), cost: 1 6: l5 -> l0 : __const_5000^0'=__const_5000^post6, y_28^0'=y_28^post6, x_27^0'=x_27^post6, y_16^0'=y_16^post6, x_13^0'=x_13^post6, y_33^0'=y_33^post6, x_32^0'=x_32^post6, (-y_33^post6+y_33^0 == 0 /\ x_32^0-x_32^post6 == 0 /\ -x_13^post6+x_13^0 == 0 /\ __const_5000^0-__const_5000^post6 == 0 /\ y_28^0-y_28^post6 == 0 /\ x_27^0-x_27^post6 == 0 /\ -y_16^post6+y_16^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l1 : __const_5000^0'=__const_5000^post0, y_28^0'=y_28^post0, x_27^0'=x_27^post0, y_16^0'=y_16^post0, x_13^0'=x_13^post0, y_33^0'=y_33^post0, x_32^0'=x_32^post0, (0 == 0 /\ y_28^0-y_28^post0 == 0 /\ __const_5000^0-__const_5000^post0 == 0 /\ -y_33^post0+y_33^0 == 0 /\ -x_27^post0+x_27^0 == 0 /\ -x_32^post0+x_32^0 == 0), cost: 1 New rule: l0 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 1 Applied preprocessing Original rule: l1 -> l2 : __const_5000^0'=__const_5000^post1, y_28^0'=y_28^post1, x_27^0'=x_27^post1, y_16^0'=y_16^post1, x_13^0'=x_13^post1, y_33^0'=y_33^post1, x_32^0'=x_32^post1, (x_13^0-x_13^post1 == 0 /\ 1-y_16^post1 <= 0 /\ -x_32^post1+x_32^0 == 0 /\ 1-x_13^0 <= 0 /\ y_28^0-y_28^post1 == 0 /\ -__const_5000^0+y_16^post1 == 0 /\ x_27^0-x_27^post1 == 0 /\ __const_5000^0-__const_5000^post1 == 0 /\ -y_33^post1+y_33^0 == 0), cost: 1 New rule: l1 -> l2 : y_16^0'=__const_5000^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1 Applied preprocessing Original rule: l2 -> l1 : __const_5000^0'=__const_5000^post3, y_28^0'=y_28^post3, x_27^0'=x_27^post3, y_16^0'=y_16^post3, x_13^0'=x_13^post3, y_33^0'=y_33^post3, x_32^0'=x_32^post3, (__const_5000^0-__const_5000^post3 == 0 /\ y_28^0-y_28^post3 == 0 /\ x_27^0-x_27^post3 == 0 /\ -x_13^post3+x_13^0 == 0 /\ y_16^0 <= 0 /\ -x_32^post3+x_32^0 == 0 /\ -y_33^post3+y_33^0 == 0 /\ y_16^0-y_16^post3 == 0), cost: 1 New rule: l2 -> l1 : y_16^0 <= 0, cost: 1 Applied preprocessing Original rule: l2 -> l4 : __const_5000^0'=__const_5000^post4, y_28^0'=y_28^post4, x_27^0'=x_27^post4, y_16^0'=y_16^post4, x_13^0'=x_13^post4, y_33^0'=y_33^post4, x_32^0'=x_32^post4, (0 == 0 /\ 1-y_33^post4+y_16^post4 <= 0 /\ 1-y_33^post4 <= 0 /\ 1+x_13^post4-x_13^0 == 0 /\ y_28^0-y_28^post4 == 0 /\ -1-x_13^post4+x_32^post4 <= 0 /\ x_27^0-x_27^post4 == 0 /\ __const_5000^0-__const_5000^post4 == 0 /\ -1+y_33^post4-y_16^post4 <= 0 /\ 1-y_16^0 <= 0 /\ 1-y_16^0+y_16^post4 == 0 /\ 1+x_13^post4-x_32^post4 <= 0), cost: 1 New rule: l2 -> l4 : y_16^0'=-1+y_16^0, x_13^0'=-1+x_13^0, y_33^0'=y_16^0, x_32^0'=x_13^0, -1+y_16^0 >= 0, cost: 1 Applied preprocessing Original rule: l4 -> l2 : __const_5000^0'=__const_5000^post5, y_28^0'=y_28^post5, x_27^0'=x_27^post5, y_16^0'=y_16^post5, x_13^0'=x_13^post5, y_33^0'=y_33^post5, x_32^0'=x_32^post5, (-x_32^post5+x_32^0 == 0 /\ -y_33^post5+y_33^0 == 0 /\ y_28^0-y_28^post5 == 0 /\ -y_16^post5+y_16^0 == 0 /\ x_27^0-x_27^post5 == 0 /\ __const_5000^0-__const_5000^post5 == 0 /\ -x_13^post5+x_13^0 == 0), cost: 1 New rule: l4 -> l2 : TRUE, cost: 1 Applied preprocessing Original rule: l5 -> l0 : __const_5000^0'=__const_5000^post6, y_28^0'=y_28^post6, x_27^0'=x_27^post6, y_16^0'=y_16^post6, x_13^0'=x_13^post6, y_33^0'=y_33^post6, x_32^0'=x_32^post6, (-y_33^post6+y_33^0 == 0 /\ x_32^0-x_32^post6 == 0 /\ -x_13^post6+x_13^0 == 0 /\ __const_5000^0-__const_5000^post6 == 0 /\ y_28^0-y_28^post6 == 0 /\ x_27^0-x_27^post6 == 0 /\ -y_16^post6+y_16^0 == 0), cost: 1 New rule: l5 -> l0 : TRUE, cost: 1 Simplified rules Start location: l5 7: l0 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 1 8: l1 -> l2 : y_16^0'=__const_5000^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1 9: l2 -> l1 : y_16^0 <= 0, cost: 1 10: l2 -> l4 : y_16^0'=-1+y_16^0, x_13^0'=-1+x_13^0, y_33^0'=y_16^0, x_32^0'=x_13^0, -1+y_16^0 >= 0, cost: 1 11: l4 -> l2 : TRUE, cost: 1 12: l5 -> l0 : TRUE, cost: 1 Eliminating location l0 by chaining: Applied chaining First rule: l5 -> l0 : TRUE, cost: 1 Second rule: l0 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 1 New rule: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Applied deletion Removed the following rules: 7 12 Eliminating location l4 by chaining: Applied chaining First rule: l2 -> l4 : y_16^0'=-1+y_16^0, x_13^0'=-1+x_13^0, y_33^0'=y_16^0, x_32^0'=x_13^0, -1+y_16^0 >= 0, cost: 1 Second rule: l4 -> l2 : TRUE, cost: 1 New rule: l2 -> l2 : y_16^0'=-1+y_16^0, x_13^0'=-1+x_13^0, y_33^0'=y_16^0, x_32^0'=x_13^0, -1+y_16^0 >= 0, cost: 2 Applied deletion Removed the following rules: 10 11 Eliminated locations on linear paths Start location: l5 8: l1 -> l2 : y_16^0'=__const_5000^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1 9: l2 -> l1 : y_16^0 <= 0, cost: 1 14: l2 -> l2 : y_16^0'=-1+y_16^0, x_13^0'=-1+x_13^0, y_33^0'=y_16^0, x_32^0'=x_13^0, -1+y_16^0 >= 0, cost: 2 13: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Applied acceleration Original rule: l2 -> l2 : y_16^0'=-1+y_16^0, x_13^0'=-1+x_13^0, y_33^0'=y_16^0, x_32^0'=x_13^0, -1+y_16^0 >= 0, cost: 2 New rule: l2 -> l2 : y_16^0'=y_16^0-n0, x_13^0'=x_13^0-n0, y_33^0'=1+y_16^0-n0, x_32^0'=1+x_13^0-n0, (-1+n0 >= 0 /\ y_16^0-n0 >= 0), cost: 2*n0 Applied instantiation Original rule: l2 -> l2 : y_16^0'=y_16^0-n0, x_13^0'=x_13^0-n0, y_33^0'=1+y_16^0-n0, x_32^0'=1+x_13^0-n0, (-1+n0 >= 0 /\ y_16^0-n0 >= 0), cost: 2*n0 New rule: l2 -> l2 : y_16^0'=0, x_13^0'=-y_16^0+x_13^0, y_33^0'=1, x_32^0'=1-y_16^0+x_13^0, (0 >= 0 /\ -1+y_16^0 >= 0), cost: 2*y_16^0 Applied simplification Original rule: l2 -> l2 : y_16^0'=0, x_13^0'=-y_16^0+x_13^0, y_33^0'=1, x_32^0'=1-y_16^0+x_13^0, (0 >= 0 /\ -1+y_16^0 >= 0), cost: 2*y_16^0 New rule: l2 -> l2 : y_16^0'=0, x_13^0'=-y_16^0+x_13^0, y_33^0'=1, x_32^0'=1-y_16^0+x_13^0, -1+y_16^0 >= 0, cost: 2*y_16^0 Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: l5 8: l1 -> l2 : y_16^0'=__const_5000^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1 9: l2 -> l1 : y_16^0 <= 0, cost: 1 16: l2 -> l2 : y_16^0'=0, x_13^0'=-y_16^0+x_13^0, y_33^0'=1, x_32^0'=1-y_16^0+x_13^0, -1+y_16^0 >= 0, cost: 2*y_16^0 13: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Applied chaining First rule: l1 -> l2 : y_16^0'=__const_5000^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1 Second rule: l2 -> l2 : y_16^0'=0, x_13^0'=-y_16^0+x_13^0, y_33^0'=1, x_32^0'=1-y_16^0+x_13^0, -1+y_16^0 >= 0, cost: 2*y_16^0 New rule: l1 -> l2 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1+2*__const_5000^0 Applied deletion Removed the following rules: 16 Chained accelerated rules with incoming rules Start location: l5 8: l1 -> l2 : y_16^0'=__const_5000^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1 17: l1 -> l2 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1+2*__const_5000^0 9: l2 -> l1 : y_16^0 <= 0, cost: 1 13: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Eliminating location l2 by chaining: Applied chaining First rule: l1 -> l2 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 1+2*__const_5000^0 Second rule: l2 -> l1 : y_16^0 <= 0, cost: 1 New rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (0 <= 0 /\ -1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 2+2*__const_5000^0 Applied simplification Original rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (0 <= 0 /\ -1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 2+2*__const_5000^0 New rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 2+2*__const_5000^0 Applied deletion Removed the following rules: 8 9 17 Eliminated locations on tree-shaped paths Start location: l5 18: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 2+2*__const_5000^0 13: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Applied acceleration Original rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0+x_13^0, (-1+__const_5000^0 >= 0 /\ -1+x_13^0 >= 0), cost: 2+2*__const_5000^0 New rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^0, (-1+n3 >= 0 /\ -1+__const_5000^0 >= 0 /\ ((-1-__const_5000^0*(-1+n3)+x_13^0 >= 0 /\ -1+x_13^0 >= 0) \/ (-1+__const_5000^0 >= 0 /\ -1-__const_5000^0*(-1+n3)+x_13^0 >= 0))), cost: 2*__const_5000^0*n3+2*n3 Applied simplification Original rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^0, (-1+n3 >= 0 /\ -1+__const_5000^0 >= 0 /\ ((-1-__const_5000^0*(-1+n3)+x_13^0 >= 0 /\ -1+x_13^0 >= 0) \/ (-1+__const_5000^0 >= 0 /\ -1-__const_5000^0*(-1+n3)+x_13^0 >= 0))), cost: 2*__const_5000^0*n3+2*n3 New rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^0, (-1+n3 >= 0 /\ -1+__const_5000^0 >= 0 /\ -1-__const_5000^0*(-1+n3)+x_13^0 >= 0), cost: 2*__const_5000^0*n3+2*n3 Applied deletion Removed the following rules: 18 Accelerated simple loops Start location: l5 20: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^0, (-1+n3 >= 0 /\ -1+__const_5000^0 >= 0 /\ -1-__const_5000^0*(-1+n3)+x_13^0 >= 0), cost: 2*__const_5000^0*n3+2*n3 13: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Applied chaining First rule: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 Second rule: l1 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^0, (-1+n3 >= 0 /\ -1+__const_5000^0 >= 0 /\ -1-__const_5000^0*(-1+n3)+x_13^0 >= 0), cost: 2*__const_5000^0*n3+2*n3 New rule: l5 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^post0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^post0, (-1-__const_5000^0*(-1+n3)+x_13^post0 >= 0 /\ -1+n3 >= 0 /\ -1+__const_5000^0 >= 0), cost: 2+2*__const_5000^0*n3+2*n3 Applied deletion Removed the following rules: 20 Chained accelerated rules with incoming rules Start location: l5 13: l5 -> l1 : y_16^0'=y_16^post0, x_13^0'=x_13^post0, 0 == 0, cost: 2 21: l5 -> l1 : y_16^0'=0, x_13^0'=-__const_5000^0*n3+x_13^post0, y_33^0'=1, x_32^0'=1-__const_5000^0-__const_5000^0*(-1+n3)+x_13^post0, (-1-__const_5000^0*(-1+n3)+x_13^post0 >= 0 /\ -1+n3 >= 0 /\ -1+__const_5000^0 >= 0), cost: 2+2*__const_5000^0*n3+2*n3 Removed unreachable locations and irrelevant leafs Start location: l5 Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0