WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f150_0_main_LT : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg1P0-arg3P0 == 0), cost: 1 1: f150_0_main_LT -> f150_0_main_LT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg3-arg2 <= 0 /\ arg2-arg2P1 == 0 /\ 1+arg1-arg1P1 == 0 /\ 2+arg1-arg3P1 == 0 /\ 2+arg1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f150_0_main_LT : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg1P0-arg3P0 == 0), cost: 1 New rule: f1_0_main_Load -> f150_0_main_LT : arg1'=-1+arg3P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1 Applied preprocessing Original rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg3-arg2 <= 0 /\ arg2-arg2P1 == 0 /\ 1+arg1-arg1P1 == 0 /\ 2+arg1-arg3P1 == 0 /\ 2+arg1 > 0), cost: 1 New rule: f150_0_main_LT -> f150_0_main_LT : arg1'=1+arg1, arg3'=2+arg1, (arg3-arg2 <= 0 /\ 2+arg1 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_Load -> f150_0_main_LT : arg1'=-1+arg3P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1 4: f150_0_main_LT -> f150_0_main_LT : arg1'=1+arg1, arg3'=2+arg1, (arg3-arg2 <= 0 /\ 2+arg1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied acceleration Original rule: f150_0_main_LT -> f150_0_main_LT : arg1'=1+arg1, arg3'=2+arg1, (arg3-arg2 <= 0 /\ 2+arg1 > 0), cost: 1 New rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg1+n0, arg3'=1+arg1+n0, (-1+n0 >= 0 /\ -arg3+arg2 >= 0 /\ -arg1+arg2-n0 >= 0 /\ 2+arg1 > 0), cost: n0 Applied instantiation Original rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg1+n0, arg3'=1+arg1+n0, (-1+n0 >= 0 /\ -arg3+arg2 >= 0 /\ -arg1+arg2-n0 >= 0 /\ 2+arg1 > 0), cost: n0 New rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg2, arg3'=1+arg2, (0 >= 0 /\ -1-arg1+arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 2+arg1 > 0), cost: -arg1+arg2 Applied simplification Original rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg2, arg3'=1+arg2, (0 >= 0 /\ -1-arg1+arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 2+arg1 > 0), cost: -arg1+arg2 New rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg2, arg3'=1+arg2, (-1-arg1+arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 2+arg1 > 0), cost: -arg1+arg2 Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 3: f1_0_main_Load -> f150_0_main_LT : arg1'=-1+arg3P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1 6: f150_0_main_LT -> f150_0_main_LT : arg1'=arg2, arg3'=1+arg2, (-1-arg1+arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 2+arg1 > 0), cost: -arg1+arg2 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f150_0_main_LT : arg1'=-1+arg3P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1 Second rule: f150_0_main_LT -> f150_0_main_LT : arg1'=arg2, arg3'=1+arg2, (-1-arg1+arg2 >= 0 /\ -arg3+arg2 >= 0 /\ 2+arg1 > 0), cost: -arg1+arg2 New rule: f1_0_main_Load -> f150_0_main_LT : arg1'=arg2P0, arg3'=1+arg2P0, arg2'=arg2P0, (arg1 > 0 /\ arg2P0-arg3P0 >= 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 2+arg2P0-arg3P0 Applied deletion Removed the following rules: 6 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_Load -> f150_0_main_LT : arg1'=-1+arg3P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1 7: f1_0_main_Load -> f150_0_main_LT : arg1'=arg2P0, arg3'=1+arg2P0, arg2'=arg2P0, (arg1 > 0 /\ arg2P0-arg3P0 >= 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 2+arg2P0-arg3P0 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg3'=arg3P2, 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