WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 1: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=arg1P1, arg2'=arg2P1, (-1+arg1-arg1P1 == 0 /\ 1+arg1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Applied preprocessing Original rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=arg1P1, arg2'=arg2P1, (-1+arg1-arg1P1 == 0 /\ 1+arg1 > 0), cost: 1 New rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1+arg1, arg2'=arg2P1, 1+arg1 > 0, cost: 1 Simplified rules Start location: __init 0: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 3: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1+arg1, arg2'=arg2P1, 1+arg1 > 0, cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Applied acceleration Original rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1+arg1, arg2'=arg2P1, 1+arg1 > 0, cost: 1 New rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=arg1-n0, arg2'=arg2P1, (2+arg1-n0 > 0 /\ -1+n0 >= 0), cost: n0 Applied instantiation Original rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=arg1-n0, arg2'=arg2P1, (2+arg1-n0 > 0 /\ -1+n0 >= 0), cost: n0 New rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, (arg1 >= 0 /\ 1 > 0), cost: 1+arg1 Applied simplification Original rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, (arg1 >= 0 /\ 1 > 0), cost: 1+arg1 New rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, arg1 >= 0, cost: 1+arg1 Applied deletion Removed the following rules: 3 Accelerated simple loops Start location: __init 0: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 5: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, arg1 >= 0, cost: 1+arg1 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 Second rule: f120_0_twoWay_GE -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, arg1 >= 0, cost: 1+arg1 New rule: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, (arg1 > 0 /\ arg1P0 >= 0 /\ arg2 > 0), cost: 2+arg1P0 Applied deletion Removed the following rules: 5 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 6: f1_0_main_Load -> f120_0_twoWay_GE : arg1'=-1, arg2'=arg2P1, (arg1 > 0 /\ arg1P0 >= 0 /\ arg2 > 0), cost: 2+arg1P0 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0