WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f164_0_createList_Return -> f346_0_main_NULL : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1+arg2P0 <= 0 /\ -arg1P0 == 0 /\ arg2P0 > 0 /\ 2-arg1+arg2 <= 0), cost: 1 2: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (1-arg1P2 == 0 /\ -arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0 /\ -6+arg2 > 0), cost: 1 3: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (1-arg1 == 0 /\ -2+arg2P3 > 0 /\ arg2 > 0 /\ 2-arg2P3+arg2 >= 0 /\ 2-arg1P3 == 0), cost: 1 4: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (-4+arg2P4-arg2 <= 0 /\ 2-arg1 == 0 /\ -arg1P4 == 0 /\ arg2 > 0 /\ -4+arg2P4 > 0), cost: 1 1: f1_0_main_Load -> f346_0_main_NULL : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ -arg1P1 == 0 /\ arg2 > 0 /\ 1+x60 > 0), cost: 1 5: f1_0_main_Load -> f188_0_createList_LE : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ 1+arg1P5 > 0 /\ arg2 > 0), cost: 1 6: f188_0_createList_LE -> f188_0_createList_LE : arg1'=arg1P6, arg2'=arg2P6, (arg1 > 0 /\ -1+arg1-arg1P6 == 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg2'=arg2P7, TRUE, cost: 1 Removed unreachable rules and leafs Start location: __init 2: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (1-arg1P2 == 0 /\ -arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0 /\ -6+arg2 > 0), cost: 1 3: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (1-arg1 == 0 /\ -2+arg2P3 > 0 /\ arg2 > 0 /\ 2-arg2P3+arg2 >= 0 /\ 2-arg1P3 == 0), cost: 1 4: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (-4+arg2P4-arg2 <= 0 /\ 2-arg1 == 0 /\ -arg1P4 == 0 /\ arg2 > 0 /\ -4+arg2P4 > 0), cost: 1 1: f1_0_main_Load -> f346_0_main_NULL : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ -arg1P1 == 0 /\ arg2 > 0 /\ 1+x60 > 0), cost: 1 5: f1_0_main_Load -> f188_0_createList_LE : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ 1+arg1P5 > 0 /\ arg2 > 0), cost: 1 6: f188_0_createList_LE -> f188_0_createList_LE : arg1'=arg1P6, arg2'=arg2P6, (arg1 > 0 /\ -1+arg1-arg1P6 == 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg2'=arg2P7, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f346_0_main_NULL : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ -arg1P1 == 0 /\ arg2 > 0 /\ 1+x60 > 0), cost: 1 New rule: f1_0_main_Load -> f346_0_main_NULL : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (1-arg1P2 == 0 /\ -arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0 /\ -6+arg2 > 0), cost: 1 New rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=1, arg2'=arg2P2, (arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0), cost: 1 Applied preprocessing Original rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (1-arg1 == 0 /\ -2+arg2P3 > 0 /\ arg2 > 0 /\ 2-arg2P3+arg2 >= 0 /\ 2-arg1P3 == 0), cost: 1 New rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=2, arg2'=arg2P3, (-1+arg1 == 0 /\ -2+arg2P3 > 0 /\ 2-arg2P3+arg2 >= 0), cost: 1 Applied preprocessing Original rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (-4+arg2P4-arg2 <= 0 /\ 2-arg1 == 0 /\ -arg1P4 == 0 /\ arg2 > 0 /\ -4+arg2P4 > 0), cost: 1 New rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=0, arg2'=arg2P4, (-4+arg2P4-arg2 <= 0 /\ -4+arg2P4 > 0 /\ -2+arg1 == 0), cost: 1 Applied preprocessing Original rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=arg1P6, arg2'=arg2P6, (arg1 > 0 /\ -1+arg1-arg1P6 == 0), cost: 1 New rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=-1+arg1, arg2'=arg2P6, arg1 > 0, cost: 1 Simplified rules Start location: __init 9: f346_0_main_NULL -> f346_0_main_NULL : arg1'=1, arg2'=arg2P2, (arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0), cost: 1 10: f346_0_main_NULL -> f346_0_main_NULL : arg1'=2, arg2'=arg2P3, (-1+arg1 == 0 /\ -2+arg2P3 > 0 /\ 2-arg2P3+arg2 >= 0), cost: 1 11: f346_0_main_NULL -> f346_0_main_NULL : arg1'=0, arg2'=arg2P4, (-4+arg2P4-arg2 <= 0 /\ -4+arg2P4 > 0 /\ -2+arg1 == 0), cost: 1 5: f1_0_main_Load -> f188_0_createList_LE : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ 1+arg1P5 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f346_0_main_NULL : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ arg2 > 0), cost: 1 12: f188_0_createList_LE -> f188_0_createList_LE : arg1'=-1+arg1, arg2'=arg2P6, arg1 > 0, cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg2'=arg2P7, TRUE, cost: 1 Applied acceleration Original rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=-1+arg1, arg2'=arg2P6, arg1 > 0, cost: 1 New rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=arg1-n9, arg2'=arg2P6, (-1+n9 >= 0 /\ 1+arg1-n9 > 0), cost: n9 Applied instantiation Original rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=arg1-n9, arg2'=arg2P6, (-1+n9 >= 0 /\ 1+arg1-n9 > 0), cost: n9 New rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 Applied deletion Removed the following rules: 12 Accelerated simple loops Start location: __init 9: f346_0_main_NULL -> f346_0_main_NULL : arg1'=1, arg2'=arg2P2, (arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0), cost: 1 10: f346_0_main_NULL -> f346_0_main_NULL : arg1'=2, arg2'=arg2P3, (-1+arg1 == 0 /\ -2+arg2P3 > 0 /\ 2-arg2P3+arg2 >= 0), cost: 1 11: f346_0_main_NULL -> f346_0_main_NULL : arg1'=0, arg2'=arg2P4, (-4+arg2P4-arg2 <= 0 /\ -4+arg2P4 > 0 /\ -2+arg1 == 0), cost: 1 5: f1_0_main_Load -> f188_0_createList_LE : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ 1+arg1P5 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f346_0_main_NULL : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ arg2 > 0), cost: 1 14: f188_0_createList_LE -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg2'=arg2P7, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f346_0_main_NULL : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ arg2 > 0), cost: 1 Second rule: f346_0_main_NULL -> f346_0_main_NULL : arg1'=1, arg2'=arg2P2, (arg1 == 0 /\ 1+arg2P2 > 0 /\ 7-arg2+arg2P2 <= 0), cost: 1 New rule: f1_0_main_Load -> f346_0_main_NULL : arg1'=1, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ arg2 > 0), cost: 2 Applied deletion Removed the following rules: 9 10 11 Applied chaining First rule: f1_0_main_Load -> f188_0_createList_LE : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ 1+arg1P5 > 0 /\ arg2 > 0), cost: 1 Second rule: f188_0_createList_LE -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 New rule: f1_0_main_Load -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, (arg1 > 0 /\ arg2 > 0 /\ -1+arg1P5 >= 0), cost: 1+arg1P5 Applied deletion Removed the following rules: 14 Chained accelerated rules with incoming rules Start location: __init 5: f1_0_main_Load -> f188_0_createList_LE : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ 1+arg1P5 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f346_0_main_NULL : arg1'=0, arg2'=arg2P1, (arg1 > 0 /\ arg2P1 > 0 /\ arg2 > 0), cost: 1 15: f1_0_main_Load -> f346_0_main_NULL : arg1'=1, arg2'=arg2P2, (arg1 > 0 /\ 1+arg2P2 > 0 /\ arg2 > 0), cost: 2 16: f1_0_main_Load -> f188_0_createList_LE : arg1'=0, arg2'=arg2P6, (arg1 > 0 /\ arg2 > 0 /\ -1+arg1P5 >= 0), cost: 1+arg1P5 7: __init -> f1_0_main_Load : arg1'=arg1P7, 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