WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=arg1P0, -arg1P0 == 0, cost: 1 1: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1P1, (-11+arg1 < 0 /\ 1+arg1-arg1P1 == 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=arg1P0, -arg1P0 == 0, cost: 1 New rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 Applied preprocessing Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1P1, (-11+arg1 < 0 /\ 1+arg1-arg1P1 == 0), cost: 1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=1+arg1, 11-arg1 > 0, cost: 1 Simplified rules Start location: __init 3: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 4: f46_0_main_LE -> f46_0_main_LE : arg1'=1+arg1, 11-arg1 > 0, cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1 Applied acceleration Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=1+arg1, 11-arg1 > 0, cost: 1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1+n0, (n0 >= 0 /\ 12-arg1-n0 > 0), cost: n0 Applied instantiation Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1+n0, (n0 >= 0 /\ 12-arg1-n0 > 0), cost: n0 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 Applied simplification Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 11-arg1 Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 3: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 6: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 11-arg1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 Second rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 11-arg1 New rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=11, -11 <= 0, cost: 12 Applied deletion Removed the following rules: 6 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 7: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=11, -11 <= 0, cost: 12 2: __init -> f1_0_main_ConstantStackPush : 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