WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P0, -3+arg1P0 > 0, cost: 1 1: f176_0_iter_NULL -> f176_0_iter_NULL : arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ 1-arg1+arg1P1 <= 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied preprocessing Original rule: f176_0_iter_NULL -> f176_0_iter_NULL : arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0 /\ 1-arg1+arg1P1 <= 0), cost: 1 New rule: f176_0_iter_NULL -> f176_0_iter_NULL : arg1'=arg1P1, (1+arg1P1 > 0 /\ 1-arg1+arg1P1 <= 0), cost: 1 Simplified rules Start location: __init 0: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P0, -3+arg1P0 > 0, cost: 1 3: f176_0_iter_NULL -> f176_0_iter_NULL : arg1'=arg1P1, (1+arg1P1 > 0 /\ 1-arg1+arg1P1 <= 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Accelerated simple loops Start location: __init 0: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P0, -3+arg1P0 > 0, cost: 1 3: f176_0_iter_NULL -> f176_0_iter_NULL : arg1'=arg1P1, (1+arg1P1 > 0 /\ 1-arg1+arg1P1 <= 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P0, -3+arg1P0 > 0, cost: 1 Second rule: f176_0_iter_NULL -> f176_0_iter_NULL : arg1'=arg1P1, (1+arg1P1 > 0 /\ 1-arg1+arg1P1 <= 0), cost: 1 New rule: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P1, 1+arg1P1 > 0, cost: 2 Applied deletion Removed the following rules: 3 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P0, -3+arg1P0 > 0, cost: 1 4: f1_0_main_New -> f176_0_iter_NULL : arg1'=arg1P1, 1+arg1P1 > 0, cost: 2 2: __init -> f1_0_main_New : arg1'=arg1P2, 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