WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f259_0_div_LT : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0 /\ -arg1P0 == 0), cost: 1 1: f259_0_div_LT -> f259_0_div_LT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg3-arg2 <= 0 /\ arg3 > 0 /\ arg3-arg3P1 == 0 /\ 1+arg1-arg1P1 == 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0 /\ -arg3+arg2-arg2P1 == 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 -> f259_0_div_LT : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0 /\ -arg1P0 == 0), cost: 1 New rule: f1_0_main_Load -> f259_0_div_LT : arg1'=0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0), cost: 1 Applied preprocessing Original rule: f259_0_div_LT -> f259_0_div_LT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg3-arg2 <= 0 /\ arg3 > 0 /\ arg3-arg3P1 == 0 /\ 1+arg1-arg1P1 == 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0 /\ -arg3+arg2-arg2P1 == 0), cost: 1 New rule: f259_0_div_LT -> f259_0_div_LT : arg1'=1+arg1, arg2'=-arg3+arg2, (arg3-arg2 <= 0 /\ arg3 > 0 /\ 1+arg1 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_Load -> f259_0_div_LT : arg1'=0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0), cost: 1 4: f259_0_div_LT -> f259_0_div_LT : arg1'=1+arg1, arg2'=-arg3+arg2, (arg3-arg2 <= 0 /\ arg3 > 0 /\ 1+arg1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied acceleration Original rule: f259_0_div_LT -> f259_0_div_LT : arg1'=1+arg1, arg2'=-arg3+arg2, (arg3-arg2 <= 0 /\ arg3 > 0 /\ 1+arg1 > 0), cost: 1 New rule: f259_0_div_LT -> f259_0_div_LT : arg1'=arg1+n0, arg2'=arg2-arg3*n0, (arg3 > 0 /\ -(-1+n0)*arg3-arg3+arg2 >= 0 /\ 1+arg1 > 0 /\ n0 >= 0), cost: n0 Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 3: f1_0_main_Load -> f259_0_div_LT : arg1'=0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0), cost: 1 5: f259_0_div_LT -> f259_0_div_LT : arg1'=arg1+n0, arg2'=arg2-arg3*n0, (arg3 > 0 /\ -(-1+n0)*arg3-arg3+arg2 >= 0 /\ 1+arg1 > 0 /\ n0 >= 0), cost: n0 2: __init -> f1_0_main_Load : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f259_0_div_LT : arg1'=0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0), cost: 1 Second rule: f259_0_div_LT -> f259_0_div_LT : arg1'=arg1+n0, arg2'=arg2-arg3*n0, (arg3 > 0 /\ -(-1+n0)*arg3-arg3+arg2 >= 0 /\ 1+arg1 > 0 /\ n0 >= 0), cost: n0 New rule: f1_0_main_Load -> f259_0_div_LT : arg1'=n0, arg3'=arg3P0, arg2'=arg2P0-n0*arg3P0, (arg1 > 0 /\ arg2P0-(-1+n0)*arg3P0-arg3P0 >= 0 /\ n0 >= 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1+n0 Applied deletion Removed the following rules: 5 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_Load -> f259_0_div_LT : arg1'=0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ 1+arg3P0 > 0), cost: 1 6: f1_0_main_Load -> f259_0_div_LT : arg1'=n0, arg3'=arg3P0, arg2'=arg2P0-n0*arg3P0, (arg1 > 0 /\ arg2P0-(-1+n0)*arg3P0-arg3P0 >= 0 /\ n0 >= 0 /\ 1+arg2 > 0 /\ arg3P0 > 0), cost: 1+n0 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