WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f169_0_createList_Return -> f236_0_main_InvokeMethod : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -1+arg1P0-arg2 <= 0 /\ 1+arg2P0 > 0 /\ 1+arg2 > 0 /\ arg2P0-arg2 <= 0), cost: 1 4: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1-arg2P4 == 0 /\ x130 > 0 /\ 1+arg3P4 > 0 /\ 1+arg2 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 1: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 2: f1_0_main_Load -> f208_0_createList_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1 3: f208_0_createList_LE -> f208_0_createList_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ -1+arg1-arg1P3 == 0), cost: 1 5: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ arg3 > 0 /\ 1-arg1+arg3P5 <= 0 /\ -arg2 == 0 /\ 1+arg3P5 > 0 /\ 1-arg1+arg1P5 <= 0 /\ 1+arg1P5 > 0 /\ 1-arg3+arg3P5 <= 0 /\ 1-arg2P5 == 0 /\ 1+arg1P5-arg3 <= 0), cost: 1 6: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ arg1P6 > 0 /\ -arg2P6 == 0 /\ arg3 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ 1-arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Removed unreachable rules and leafs Start location: __init 4: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1-arg2P4 == 0 /\ x130 > 0 /\ 1+arg3P4 > 0 /\ 1+arg2 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 1: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 2: f1_0_main_Load -> f208_0_createList_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1 3: f208_0_createList_LE -> f208_0_createList_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ -1+arg1-arg1P3 == 0), cost: 1 5: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ arg3 > 0 /\ 1-arg1+arg3P5 <= 0 /\ -arg2 == 0 /\ 1+arg3P5 > 0 /\ 1-arg1+arg1P5 <= 0 /\ 1+arg1P5 > 0 /\ 1-arg3+arg3P5 <= 0 /\ 1-arg2P5 == 0 /\ 1+arg1P5-arg3 <= 0), cost: 1 6: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ arg1P6 > 0 /\ -arg2P6 == 0 /\ arg3 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ 1-arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 New rule: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 Applied preprocessing Original rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ -1+arg1-arg1P3 == 0), cost: 1 New rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=-1+arg1, arg3'=arg3P3, arg2'=arg2P3, arg1 > 0, cost: 1 Applied preprocessing Original rule: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1-arg2P4 == 0 /\ x130 > 0 /\ 1+arg3P4 > 0 /\ 1+arg2 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 New rule: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=1, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1+arg3P4 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 Applied preprocessing Original rule: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ arg3 > 0 /\ 1-arg1+arg3P5 <= 0 /\ -arg2 == 0 /\ 1+arg3P5 > 0 /\ 1-arg1+arg1P5 <= 0 /\ 1+arg1P5 > 0 /\ 1-arg3+arg3P5 <= 0 /\ 1-arg2P5 == 0 /\ 1+arg1P5-arg3 <= 0), cost: 1 New rule: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=1, (1-arg1+arg3P5 <= 0 /\ 1+arg3P5 > 0 /\ 1-arg1+arg1P5 <= 0 /\ arg2 == 0 /\ 1+arg1P5 > 0 /\ 1-arg3+arg3P5 <= 0 /\ 1+arg1P5-arg3 <= 0), cost: 1 Applied preprocessing Original rule: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ arg1P6 > 0 /\ -arg2P6 == 0 /\ arg3 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ 1-arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 New rule: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=0, (arg1P6 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ -1+arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 Simplified rules Start location: __init 10: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=1, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1+arg3P4 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 2: f1_0_main_Load -> f208_0_createList_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1 8: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 9: f208_0_createList_LE -> f208_0_createList_LE : arg1'=-1+arg1, arg3'=arg3P3, arg2'=arg2P3, arg1 > 0, cost: 1 11: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=1, (1-arg1+arg3P5 <= 0 /\ 1+arg3P5 > 0 /\ 1-arg1+arg1P5 <= 0 /\ arg2 == 0 /\ 1+arg1P5 > 0 /\ 1-arg3+arg3P5 <= 0 /\ 1+arg1P5-arg3 <= 0), cost: 1 12: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=0, (arg1P6 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ -1+arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Applied acceleration Original rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=-1+arg1, arg3'=arg3P3, arg2'=arg2P3, arg1 > 0, cost: 1 New rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=arg1-n0, arg3'=arg3P3, arg2'=arg2P3, (-1+n0 >= 0 /\ 1+arg1-n0 > 0), cost: n0 Applied instantiation Original rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=arg1-n0, arg3'=arg3P3, arg2'=arg2P3, (-1+n0 >= 0 /\ 1+arg1-n0 > 0), cost: n0 New rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, -1+arg1 >= 0, cost: arg1 Applied deletion Removed the following rules: 9 Accelerated simple loops Start location: __init 10: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=1, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1+arg3P4 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 2: f1_0_main_Load -> f208_0_createList_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1 8: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 14: f208_0_createList_LE -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, -1+arg1 >= 0, cost: arg1 11: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=1, (1-arg1+arg3P5 <= 0 /\ 1+arg3P5 > 0 /\ 1-arg1+arg1P5 <= 0 /\ arg2 == 0 /\ 1+arg1P5 > 0 /\ 1-arg3+arg3P5 <= 0 /\ 1+arg1P5-arg3 <= 0), cost: 1 12: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=0, (arg1P6 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ -1+arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f208_0_createList_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1 Second rule: f208_0_createList_LE -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, -1+arg1 >= 0, cost: arg1 New rule: f1_0_main_Load -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ -1+arg1P2 >= 0 /\ 1+arg2 > 0), cost: 1+arg1P2 Applied deletion Removed the following rules: 14 Applied chaining First rule: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=1, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1+arg3P4 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 Second rule: f358_0_duplicate_NULL -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=0, (arg1P6 > 0 /\ arg3P6 > 0 /\ -arg1+arg3P6 <= 0 /\ -1+arg2 == 0 /\ -arg3+arg3P6 <= 0 /\ -arg1+arg1P6 <= 0 /\ arg1P6-arg3 <= 0), cost: 1 New rule: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=0, (arg1 > 0 /\ arg1P6 > 0 /\ arg3P6-arg2 <= 0 /\ arg3P6 > 0 /\ arg1P6-arg2 <= 0), cost: 2 Applied deletion Removed the following rules: 11 12 Chained accelerated rules with incoming rules Start location: __init 10: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=1, (arg1 > 0 /\ arg1P4-arg2 <= 0 /\ 1+arg3P4 > 0 /\ 1+arg1P4 > 0 /\ arg3P4-arg2 <= 0), cost: 1 16: f236_0_main_InvokeMethod -> f358_0_duplicate_NULL : arg1'=arg1P6, arg3'=arg3P6, arg2'=0, (arg1 > 0 /\ arg1P6 > 0 /\ arg3P6-arg2 <= 0 /\ arg3P6 > 0 /\ arg1P6-arg2 <= 0), cost: 2 2: f1_0_main_Load -> f208_0_createList_LE : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg1P2 > 0), cost: 1 8: f1_0_main_Load -> f236_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0), cost: 1 15: f1_0_main_Load -> f208_0_createList_LE : arg1'=0, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ -1+arg1P2 >= 0 /\ 1+arg2 > 0), cost: 1+arg1P2 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, 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