WORST_CASE(Omega(0),?) Initial ITS Start location: l5 0: l0 -> l1 : Result_4^0'=Result_4^post0, x_6^0'=x_6^post0, __const_100^0'=__const_100^post0, i_5^0'=i_5^post0, __cil_tmp4_8^0'=__cil_tmp4_8^post0, __retres3_7^0'=__retres3_7^post0, (__retres3_7^post0 == 0 /\ -__const_100^post0+__const_100^0 == 0 /\ x_6^0-x_6^post0 == 0 /\ -i_5^post0+i_5^0 == 0 /\ Result_4^post0-__cil_tmp4_8^post0 == 0 /\ -__retres3_7^post0+__cil_tmp4_8^post0 == 0 /\ 1+__const_100^0-i_5^0 <= 0), cost: 1 1: l0 -> l2 : Result_4^0'=Result_4^post1, x_6^0'=x_6^post1, __const_100^0'=__const_100^post1, i_5^0'=i_5^post1, __cil_tmp4_8^0'=__cil_tmp4_8^post1, __retres3_7^0'=__retres3_7^post1, (__cil_tmp4_8^0-__cil_tmp4_8^post1 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ -1-i_5^0+i_5^post1 == 0 /\ -__retres3_7^post1+__retres3_7^0 == 0 /\ 1-x_6^0 <= 0 /\ -__const_100^0+i_5^0 <= 0 /\ x_6^0-x_6^post1 == 0 /\ -__const_100^post1+__const_100^0 == 0), cost: 1 2: l2 -> l0 : Result_4^0'=Result_4^post2, x_6^0'=x_6^post2, __const_100^0'=__const_100^post2, i_5^0'=i_5^post2, __cil_tmp4_8^0'=__cil_tmp4_8^post2, __retres3_7^0'=__retres3_7^post2, (-i_5^post2+i_5^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ __retres3_7^0-__retres3_7^post2 == 0 /\ x_6^0-x_6^post2 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post2 == 0 /\ __const_100^0-__const_100^post2 == 0), cost: 1 3: l3 -> l4 : Result_4^0'=Result_4^post3, x_6^0'=x_6^post3, __const_100^0'=__const_100^post3, i_5^0'=i_5^post3, __cil_tmp4_8^0'=__cil_tmp4_8^post3, __retres3_7^0'=__retres3_7^post3, (i_5^post3 == 0 /\ -__retres3_7^post3+__retres3_7^0 == 0 /\ x_6^0-x_6^post3 == 0 /\ __const_100^0-__const_100^post3 == 0 /\ -__cil_tmp4_8^post3+__cil_tmp4_8^0 == 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 4: l4 -> l1 : Result_4^0'=Result_4^post4, x_6^0'=x_6^post4, __const_100^0'=__const_100^post4, i_5^0'=i_5^post4, __cil_tmp4_8^0'=__cil_tmp4_8^post4, __retres3_7^0'=__retres3_7^post4, (x_6^0 <= 0 /\ x_6^0-x_6^post4 == 0 /\ -__cil_tmp4_8^post4+Result_4^post4 == 0 /\ __const_100^0-__const_100^post4 == 0 /\ -i_5^post4+i_5^0 == 0 /\ -__const_100^0+i_5^0 <= 0 /\ __retres3_7^post4 == 0 /\ __cil_tmp4_8^post4-__retres3_7^post4 == 0), cost: 1 5: l4 -> l0 : Result_4^0'=Result_4^post5, x_6^0'=x_6^post5, __const_100^0'=__const_100^post5, i_5^0'=i_5^post5, __cil_tmp4_8^0'=__cil_tmp4_8^post5, __retres3_7^0'=__retres3_7^post5, (-__retres3_7^post5+__retres3_7^0 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -1-i_5^0+i_5^post5 == 0 /\ -__cil_tmp4_8^post5+__cil_tmp4_8^0 == 0 /\ 1-x_6^0 <= 0 /\ -__const_100^0+i_5^0 <= 0 /\ x_6^0-x_6^post5 == 0 /\ __const_100^0-__const_100^post5 == 0), cost: 1 6: l5 -> l3 : Result_4^0'=Result_4^post6, x_6^0'=x_6^post6, __const_100^0'=__const_100^post6, i_5^0'=i_5^post6, __cil_tmp4_8^0'=__cil_tmp4_8^post6, __retres3_7^0'=__retres3_7^post6, (x_6^0-x_6^post6 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post6 == 0 /\ i_5^0-i_5^post6 == 0 /\ -__const_100^post6+__const_100^0 == 0 /\ -__retres3_7^post6+__retres3_7^0 == 0), cost: 1 Removed unreachable rules and leafs Start location: l5 1: l0 -> l2 : Result_4^0'=Result_4^post1, x_6^0'=x_6^post1, __const_100^0'=__const_100^post1, i_5^0'=i_5^post1, __cil_tmp4_8^0'=__cil_tmp4_8^post1, __retres3_7^0'=__retres3_7^post1, (__cil_tmp4_8^0-__cil_tmp4_8^post1 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ -1-i_5^0+i_5^post1 == 0 /\ -__retres3_7^post1+__retres3_7^0 == 0 /\ 1-x_6^0 <= 0 /\ -__const_100^0+i_5^0 <= 0 /\ x_6^0-x_6^post1 == 0 /\ -__const_100^post1+__const_100^0 == 0), cost: 1 2: l2 -> l0 : Result_4^0'=Result_4^post2, x_6^0'=x_6^post2, __const_100^0'=__const_100^post2, i_5^0'=i_5^post2, __cil_tmp4_8^0'=__cil_tmp4_8^post2, __retres3_7^0'=__retres3_7^post2, (-i_5^post2+i_5^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ __retres3_7^0-__retres3_7^post2 == 0 /\ x_6^0-x_6^post2 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post2 == 0 /\ __const_100^0-__const_100^post2 == 0), cost: 1 3: l3 -> l4 : Result_4^0'=Result_4^post3, x_6^0'=x_6^post3, __const_100^0'=__const_100^post3, i_5^0'=i_5^post3, __cil_tmp4_8^0'=__cil_tmp4_8^post3, __retres3_7^0'=__retres3_7^post3, (i_5^post3 == 0 /\ -__retres3_7^post3+__retres3_7^0 == 0 /\ x_6^0-x_6^post3 == 0 /\ __const_100^0-__const_100^post3 == 0 /\ -__cil_tmp4_8^post3+__cil_tmp4_8^0 == 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 5: l4 -> l0 : Result_4^0'=Result_4^post5, x_6^0'=x_6^post5, __const_100^0'=__const_100^post5, i_5^0'=i_5^post5, __cil_tmp4_8^0'=__cil_tmp4_8^post5, __retres3_7^0'=__retres3_7^post5, (-__retres3_7^post5+__retres3_7^0 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -1-i_5^0+i_5^post5 == 0 /\ -__cil_tmp4_8^post5+__cil_tmp4_8^0 == 0 /\ 1-x_6^0 <= 0 /\ -__const_100^0+i_5^0 <= 0 /\ x_6^0-x_6^post5 == 0 /\ __const_100^0-__const_100^post5 == 0), cost: 1 6: l5 -> l3 : Result_4^0'=Result_4^post6, x_6^0'=x_6^post6, __const_100^0'=__const_100^post6, i_5^0'=i_5^post6, __cil_tmp4_8^0'=__cil_tmp4_8^post6, __retres3_7^0'=__retres3_7^post6, (x_6^0-x_6^post6 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post6 == 0 /\ i_5^0-i_5^post6 == 0 /\ -__const_100^post6+__const_100^0 == 0 /\ -__retres3_7^post6+__retres3_7^0 == 0), cost: 1 Applied preprocessing Original rule: l0 -> l2 : Result_4^0'=Result_4^post1, x_6^0'=x_6^post1, __const_100^0'=__const_100^post1, i_5^0'=i_5^post1, __cil_tmp4_8^0'=__cil_tmp4_8^post1, __retres3_7^0'=__retres3_7^post1, (__cil_tmp4_8^0-__cil_tmp4_8^post1 == 0 /\ Result_4^0-Result_4^post1 == 0 /\ -1-i_5^0+i_5^post1 == 0 /\ -__retres3_7^post1+__retres3_7^0 == 0 /\ 1-x_6^0 <= 0 /\ -__const_100^0+i_5^0 <= 0 /\ x_6^0-x_6^post1 == 0 /\ -__const_100^post1+__const_100^0 == 0), cost: 1 New rule: l0 -> l2 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 1 Applied preprocessing Original rule: l2 -> l0 : Result_4^0'=Result_4^post2, x_6^0'=x_6^post2, __const_100^0'=__const_100^post2, i_5^0'=i_5^post2, __cil_tmp4_8^0'=__cil_tmp4_8^post2, __retres3_7^0'=__retres3_7^post2, (-i_5^post2+i_5^0 == 0 /\ Result_4^0-Result_4^post2 == 0 /\ __retres3_7^0-__retres3_7^post2 == 0 /\ x_6^0-x_6^post2 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post2 == 0 /\ __const_100^0-__const_100^post2 == 0), cost: 1 New rule: l2 -> l0 : TRUE, cost: 1 Applied preprocessing Original rule: l3 -> l4 : Result_4^0'=Result_4^post3, x_6^0'=x_6^post3, __const_100^0'=__const_100^post3, i_5^0'=i_5^post3, __cil_tmp4_8^0'=__cil_tmp4_8^post3, __retres3_7^0'=__retres3_7^post3, (i_5^post3 == 0 /\ -__retres3_7^post3+__retres3_7^0 == 0 /\ x_6^0-x_6^post3 == 0 /\ __const_100^0-__const_100^post3 == 0 /\ -__cil_tmp4_8^post3+__cil_tmp4_8^0 == 0 /\ Result_4^0-Result_4^post3 == 0), cost: 1 New rule: l3 -> l4 : i_5^0'=0, TRUE, cost: 1 Applied preprocessing Original rule: l4 -> l0 : Result_4^0'=Result_4^post5, x_6^0'=x_6^post5, __const_100^0'=__const_100^post5, i_5^0'=i_5^post5, __cil_tmp4_8^0'=__cil_tmp4_8^post5, __retres3_7^0'=__retres3_7^post5, (-__retres3_7^post5+__retres3_7^0 == 0 /\ Result_4^0-Result_4^post5 == 0 /\ -1-i_5^0+i_5^post5 == 0 /\ -__cil_tmp4_8^post5+__cil_tmp4_8^0 == 0 /\ 1-x_6^0 <= 0 /\ -__const_100^0+i_5^0 <= 0 /\ x_6^0-x_6^post5 == 0 /\ __const_100^0-__const_100^post5 == 0), cost: 1 New rule: l4 -> l0 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 1 Applied preprocessing Original rule: l5 -> l3 : Result_4^0'=Result_4^post6, x_6^0'=x_6^post6, __const_100^0'=__const_100^post6, i_5^0'=i_5^post6, __cil_tmp4_8^0'=__cil_tmp4_8^post6, __retres3_7^0'=__retres3_7^post6, (x_6^0-x_6^post6 == 0 /\ Result_4^0-Result_4^post6 == 0 /\ __cil_tmp4_8^0-__cil_tmp4_8^post6 == 0 /\ i_5^0-i_5^post6 == 0 /\ -__const_100^post6+__const_100^0 == 0 /\ -__retres3_7^post6+__retres3_7^0 == 0), cost: 1 New rule: l5 -> l3 : TRUE, cost: 1 Simplified rules Start location: l5 7: l0 -> l2 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 1 8: l2 -> l0 : TRUE, cost: 1 9: l3 -> l4 : i_5^0'=0, TRUE, cost: 1 10: l4 -> l0 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 1 11: l5 -> l3 : TRUE, cost: 1 Eliminating location l3 by chaining: Applied chaining First rule: l5 -> l3 : TRUE, cost: 1 Second rule: l3 -> l4 : i_5^0'=0, TRUE, cost: 1 New rule: l5 -> l4 : i_5^0'=0, TRUE, cost: 2 Applied deletion Removed the following rules: 9 11 Eliminating location l4 by chaining: Applied chaining First rule: l5 -> l4 : i_5^0'=0, TRUE, cost: 2 Second rule: l4 -> l0 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 1 New rule: l5 -> l0 : i_5^0'=1, (-__const_100^0 <= 0 /\ -1+x_6^0 >= 0), cost: 3 Applied simplification Original rule: l5 -> l0 : i_5^0'=1, (-__const_100^0 <= 0 /\ -1+x_6^0 >= 0), cost: 3 New rule: l5 -> l0 : i_5^0'=1, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3 Applied deletion Removed the following rules: 10 12 Eliminating location l2 by chaining: Applied chaining First rule: l0 -> l2 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 1 Second rule: l2 -> l0 : TRUE, cost: 1 New rule: l0 -> l0 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 2 Applied deletion Removed the following rules: 7 8 Eliminated locations on linear paths Start location: l5 14: l0 -> l0 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 2 13: l5 -> l0 : i_5^0'=1, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3 Applied acceleration Original rule: l0 -> l0 : i_5^0'=1+i_5^0, (-1+x_6^0 >= 0 /\ -__const_100^0+i_5^0 <= 0), cost: 2 New rule: l0 -> l0 : i_5^0'=i_5^0+n0, (1+__const_100^0-i_5^0-n0 >= 0 /\ -1+x_6^0 >= 0 /\ n0 >= 0), cost: 2*n0 Applied instantiation Original rule: l0 -> l0 : i_5^0'=i_5^0+n0, (1+__const_100^0-i_5^0-n0 >= 0 /\ -1+x_6^0 >= 0 /\ n0 >= 0), cost: 2*n0 New rule: l0 -> l0 : i_5^0'=1+__const_100^0, (0 >= 0 /\ -1+x_6^0 >= 0 /\ 1+__const_100^0-i_5^0 >= 0), cost: 2+2*__const_100^0-2*i_5^0 Applied simplification Original rule: l0 -> l0 : i_5^0'=1+__const_100^0, (0 >= 0 /\ -1+x_6^0 >= 0 /\ 1+__const_100^0-i_5^0 >= 0), cost: 2+2*__const_100^0-2*i_5^0 New rule: l0 -> l0 : i_5^0'=1+__const_100^0, (-1+x_6^0 >= 0 /\ 1+__const_100^0-i_5^0 >= 0), cost: 2+2*__const_100^0-2*i_5^0 Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: l5 16: l0 -> l0 : i_5^0'=1+__const_100^0, (-1+x_6^0 >= 0 /\ 1+__const_100^0-i_5^0 >= 0), cost: 2+2*__const_100^0-2*i_5^0 13: l5 -> l0 : i_5^0'=1, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3 Applied chaining First rule: l5 -> l0 : i_5^0'=1, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3 Second rule: l0 -> l0 : i_5^0'=1+__const_100^0, (-1+x_6^0 >= 0 /\ 1+__const_100^0-i_5^0 >= 0), cost: 2+2*__const_100^0-2*i_5^0 New rule: l5 -> l0 : i_5^0'=1+__const_100^0, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3+2*__const_100^0 Applied deletion Removed the following rules: 16 Chained accelerated rules with incoming rules Start location: l5 13: l5 -> l0 : i_5^0'=1, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3 17: l5 -> l0 : i_5^0'=1+__const_100^0, (__const_100^0 >= 0 /\ -1+x_6^0 >= 0), cost: 3+2*__const_100^0 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