WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 1: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 3-arg1+arg2P1 <= 0 /\ 1+arg2P1 > 0 /\ arg2 > 0 /\ -2+arg1 > 0 /\ 2-arg1+arg1P1 <= 0), cost: 1 2: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ -2+arg1 > 0 /\ 3-arg1+arg2P2 <= 0), cost: 1 3: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 2-arg1+arg1P3 <= 0 /\ arg2 > 0 /\ 3-arg1+arg2P3 <= 0 /\ -2+arg1 > 0 /\ 1+arg2P3 > 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied preprocessing Original rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 3-arg1+arg2P1 <= 0 /\ 1+arg2P1 > 0 /\ arg2 > 0 /\ -2+arg1 > 0 /\ 2-arg1+arg1P1 <= 0), cost: 1 New rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 3-arg1+arg2P1 <= 0 /\ 1+arg2P1 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P1 <= 0), cost: 1 Applied preprocessing Original rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ -2+arg1 > 0 /\ 3-arg1+arg2P2 <= 0), cost: 1 New rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ 3-arg1+arg2P2 <= 0), cost: 1 Applied preprocessing Original rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 2-arg1+arg1P3 <= 0 /\ arg2 > 0 /\ 3-arg1+arg2P3 <= 0 /\ -2+arg1 > 0 /\ 1+arg2P3 > 0), cost: 1 New rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 2-arg1+arg1P3 <= 0 /\ arg2 > 0 /\ 3-arg1+arg2P3 <= 0 /\ 1+arg2P3 > 0), cost: 1 Simplified rules Start location: __init 0: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 5: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 3-arg1+arg2P1 <= 0 /\ 1+arg2P1 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P1 <= 0), cost: 1 6: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ 3-arg1+arg2P2 <= 0), cost: 1 7: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 2-arg1+arg1P3 <= 0 /\ arg2 > 0 /\ 3-arg1+arg2P3 <= 0 /\ 1+arg2P3 > 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Accelerated simple loops Start location: __init 0: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 5: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 3-arg1+arg2P1 <= 0 /\ 1+arg2P1 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P1 <= 0), cost: 1 6: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ 3-arg1+arg2P2 <= 0), cost: 1 7: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 2-arg1+arg1P3 <= 0 /\ arg2 > 0 /\ 3-arg1+arg2P3 <= 0 /\ 1+arg2P3 > 0), cost: 1 4: __init -> f1_0_main_New : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied chaining First rule: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 Second rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 3-arg1+arg2P1 <= 0 /\ 1+arg2P1 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P1 <= 0), cost: 1 New rule: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 2 Applied chaining First rule: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 Second rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg2 > 0 /\ 2-arg1+arg1P2 <= 0 /\ arg1P2 > 0 /\ 3-arg1+arg2P2 <= 0), cost: 1 New rule: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg1P2 > 0), cost: 2 Applied chaining First rule: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 Second rule: f536_0_copy_InvokeMethod -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 2-arg1+arg1P3 <= 0 /\ arg2 > 0 /\ 3-arg1+arg2P3 <= 0 /\ 1+arg2P3 > 0), cost: 1 New rule: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 1+arg2P3 > 0), cost: 2 Applied deletion Removed the following rules: 5 6 7 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (-4+arg1P0 > 0 /\ arg2P0 > 0), cost: 1 8: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 2 9: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P2, arg2'=arg2P2, (1+arg2P2 > 0 /\ arg1P2 > 0), cost: 2 10: f1_0_main_New -> f536_0_copy_InvokeMethod : arg1'=arg1P3, arg2'=arg2P3, (arg1P3 > 0 /\ 1+arg2P3 > 0), cost: 2 4: __init -> f1_0_main_New : arg1'=arg1P4, arg2'=arg2P4, 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