WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (-13+arg1P0 > 0 /\ -arg2P0 == 0 /\ 10-arg3P0 == 0), cost: 1 1: f169_0_exampleMethods_LE -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ -2+arg1P1 > 0 /\ arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ 10+arg2-arg2P1 == 0 /\ -1+arg3-arg3P1 == 0 /\ 1+arg2 > 0 /\ -2+arg1 > 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (-13+arg1P0 > 0 /\ -arg2P0 == 0 /\ 10-arg3P0 == 0), cost: 1 New rule: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=10, arg2'=0, -13+arg1P0 > 0, cost: 1 Applied preprocessing Original rule: f169_0_exampleMethods_LE -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ -2+arg1P1 > 0 /\ arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ 10+arg2-arg2P1 == 0 /\ -1+arg3-arg3P1 == 0 /\ 1+arg2 > 0 /\ -2+arg1 > 0), cost: 1 New rule: f169_0_exampleMethods_LE -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=-1+arg3, arg2'=10+arg2, (-arg1+arg1P1 <= 0 /\ -2+arg1P1 > 0 /\ arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ 1+arg2 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=10, arg2'=0, -13+arg1P0 > 0, cost: 1 4: f169_0_exampleMethods_LE -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=-1+arg3, arg2'=10+arg2, (-arg1+arg1P1 <= 0 /\ -2+arg1P1 > 0 /\ arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ 1+arg2 > 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Accelerated simple loops Start location: __init 3: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=10, arg2'=0, -13+arg1P0 > 0, cost: 1 4: f169_0_exampleMethods_LE -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=-1+arg3, arg2'=10+arg2, (-arg1+arg1P1 <= 0 /\ -2+arg1P1 > 0 /\ arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ 1+arg2 > 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=10, arg2'=0, -13+arg1P0 > 0, cost: 1 Second rule: f169_0_exampleMethods_LE -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=-1+arg3, arg2'=10+arg2, (-arg1+arg1P1 <= 0 /\ -2+arg1P1 > 0 /\ arg3 > 0 /\ 4-arg1+arg3 <= 0 /\ 1+arg2 > 0), cost: 1 New rule: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=9, arg2'=10, -2+arg1P1 > 0, cost: 2 Applied deletion Removed the following rules: 4 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P0, arg3'=10, arg2'=0, -13+arg1P0 > 0, cost: 1 5: f1_0_main_New -> f169_0_exampleMethods_LE : arg1'=arg1P1, arg3'=9, arg2'=10, -2+arg1P1 > 0, cost: 2 2: __init -> f1_0_main_New : 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