WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg1P0 > 0 /\ 1+x40 > 0 /\ -arg1+arg1P0 <= 0 /\ arg2 > 0 /\ -2+arg2P0 > 0), cost: 1 1: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg2 > 0 /\ -1+arg2P1 > 0 /\ 1+x90 > 0 /\ arg1P1 > 0 /\ -1-arg1+arg2P1 <= 0), cost: 1 3: f1_0_main_Load -> f117_0_createList_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P3 > 0), cost: 1 2: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -arg1P2 == 0 /\ -arg2+arg2P2 <= 0 /\ x100 > 0 /\ arg2 > 0 /\ arg2P2 > 0), cost: 1 5: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (-arg1 == 0 /\ 1-arg2+arg2P5 <= 0 /\ arg2 > 0 /\ 1+arg2P5 > 0 /\ 1-arg1P5 == 0), cost: 1 6: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=arg1P6, arg2'=arg2P6, (1+arg2P6-arg2 <= 0 /\ 2-arg1 == 0 /\ -arg1P6 == 0 /\ 1+arg2P6 > 0 /\ arg2 > 0), cost: 1 7: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=arg1P7, arg2'=arg2P7, (1-arg1 == 0 /\ -2+arg2P7-arg2 <= 0 /\ -2+arg2P7 > 0 /\ arg2 > 0 /\ 2-arg1P7 == 0), cost: 1 4: f117_0_createList_LE -> f117_0_createList_LE : arg1'=arg1P4, arg2'=arg2P4, (-1+arg1-arg1P4 == 0 /\ -1+arg1 > 0 /\ -1 < 0), cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg1P0 > 0 /\ 1+x40 > 0 /\ -arg1+arg1P0 <= 0 /\ arg2 > 0 /\ -2+arg2P0 > 0), cost: 1 New rule: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (arg1P0 > 0 /\ -arg1+arg1P0 <= 0 /\ arg2 > 0 /\ -2+arg2P0 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg2 > 0 /\ -1+arg2P1 > 0 /\ 1+x90 > 0 /\ arg1P1 > 0 /\ -1-arg1+arg2P1 <= 0), cost: 1 New rule: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg2 > 0 /\ -1+arg2P1 > 0 /\ arg1P1 > 0 /\ -1-arg1+arg2P1 <= 0), cost: 1 Applied preprocessing Original rule: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ -arg1P2 == 0 /\ -arg2+arg2P2 <= 0 /\ x100 > 0 /\ arg2 > 0 /\ arg2P2 > 0), cost: 1 New rule: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ -arg2+arg2P2 <= 0 /\ arg2P2 > 0), cost: 1 Applied preprocessing Original rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=arg1P4, arg2'=arg2P4, (-1+arg1-arg1P4 == 0 /\ -1+arg1 > 0 /\ -1 < 0), cost: 1 New rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=-1+arg1, arg2'=arg2P4, -1+arg1 > 0, cost: 1 Applied preprocessing Original rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (-arg1 == 0 /\ 1-arg2+arg2P5 <= 0 /\ arg2 > 0 /\ 1+arg2P5 > 0 /\ 1-arg1P5 == 0), cost: 1 New rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=1, arg2'=arg2P5, (arg1 == 0 /\ 1-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0), cost: 1 Applied preprocessing Original rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=arg1P6, arg2'=arg2P6, (1+arg2P6-arg2 <= 0 /\ 2-arg1 == 0 /\ -arg1P6 == 0 /\ 1+arg2P6 > 0 /\ arg2 > 0), cost: 1 New rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P6, (1+arg2P6-arg2 <= 0 /\ 1+arg2P6 > 0 /\ -2+arg1 == 0), cost: 1 Applied preprocessing Original rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=arg1P7, arg2'=arg2P7, (1-arg1 == 0 /\ -2+arg2P7-arg2 <= 0 /\ -2+arg2P7 > 0 /\ arg2 > 0 /\ 2-arg1P7 == 0), cost: 1 New rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=2, arg2'=arg2P7, (-1+arg1 == 0 /\ -2+arg2P7-arg2 <= 0 /\ -2+arg2P7 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_Load -> f117_0_createList_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P3 > 0), cost: 1 9: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (arg1P0 > 0 /\ -arg1+arg1P0 <= 0 /\ arg2 > 0 /\ -2+arg2P0 > 0), cost: 1 10: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg2 > 0 /\ -1+arg2P1 > 0 /\ arg1P1 > 0 /\ -1-arg1+arg2P1 <= 0), cost: 1 11: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ -arg2+arg2P2 <= 0 /\ arg2P2 > 0), cost: 1 13: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=1, arg2'=arg2P5, (arg1 == 0 /\ 1-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0), cost: 1 14: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P6, (1+arg2P6-arg2 <= 0 /\ 1+arg2P6 > 0 /\ -2+arg1 == 0), cost: 1 15: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=2, arg2'=arg2P7, (-1+arg1 == 0 /\ -2+arg2P7-arg2 <= 0 /\ -2+arg2P7 > 0), cost: 1 12: f117_0_createList_LE -> f117_0_createList_LE : arg1'=-1+arg1, arg2'=arg2P4, -1+arg1 > 0, cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Applied acceleration Original rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=-1+arg1, arg2'=arg2P4, -1+arg1 > 0, cost: 1 New rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=arg1-n9, arg2'=arg2P4, (arg1-n9 > 0 /\ -1+n9 >= 0), cost: n9 Applied instantiation Original rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=arg1-n9, arg2'=arg2P4, (arg1-n9 > 0 /\ -1+n9 >= 0), cost: n9 New rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, (1 > 0 /\ -2+arg1 >= 0), cost: -1+arg1 Applied simplification Original rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, (1 > 0 /\ -2+arg1 >= 0), cost: -1+arg1 New rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, -2+arg1 >= 0, cost: -1+arg1 Applied deletion Removed the following rules: 12 Accelerated simple loops Start location: __init 3: f1_0_main_Load -> f117_0_createList_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P3 > 0), cost: 1 9: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (arg1P0 > 0 /\ -arg1+arg1P0 <= 0 /\ arg2 > 0 /\ -2+arg2P0 > 0), cost: 1 10: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg2 > 0 /\ -1+arg2P1 > 0 /\ arg1P1 > 0 /\ -1-arg1+arg2P1 <= 0), cost: 1 11: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ -arg2+arg2P2 <= 0 /\ arg2P2 > 0), cost: 1 13: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=1, arg2'=arg2P5, (arg1 == 0 /\ 1-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0), cost: 1 14: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P6, (1+arg2P6-arg2 <= 0 /\ 1+arg2P6 > 0 /\ -2+arg1 == 0), cost: 1 15: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=2, arg2'=arg2P7, (-1+arg1 == 0 /\ -2+arg2P7-arg2 <= 0 /\ -2+arg2P7 > 0), cost: 1 17: f117_0_createList_LE -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, -2+arg1 >= 0, cost: -1+arg1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Applied chaining First rule: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ -arg2+arg2P2 <= 0 /\ arg2P2 > 0), cost: 1 Second rule: f274_0_growReduce_NONNULL -> f274_0_growReduce_NONNULL : arg1'=1, arg2'=arg2P5, (arg1 == 0 /\ 1-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0), cost: 1 New rule: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=1, arg2'=arg2P5, (arg1 > 0 /\ 1-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0), cost: 2 Applied deletion Removed the following rules: 13 14 15 Applied chaining First rule: f1_0_main_Load -> f117_0_createList_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P3 > 0), cost: 1 Second rule: f117_0_createList_LE -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, -2+arg1 >= 0, cost: -1+arg1 New rule: f1_0_main_Load -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, (arg1 > 0 /\ -2+arg1P3 >= 0 /\ arg2 > 0), cost: arg1P3 Applied deletion Removed the following rules: 17 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_Load -> f117_0_createList_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ arg2 > 0 /\ 1+arg1P3 > 0), cost: 1 9: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P0, arg2'=arg2P0, (arg1P0 > 0 /\ -arg1+arg1P0 <= 0 /\ arg2 > 0 /\ -2+arg2P0 > 0), cost: 1 10: f1_0_main_Load -> f182_0_main_InvokeMethod : arg1'=arg1P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg2 > 0 /\ -1+arg2P1 > 0 /\ arg1P1 > 0 /\ -1-arg1+arg2P1 <= 0), cost: 1 19: f1_0_main_Load -> f117_0_createList_LE : arg1'=1, arg2'=arg2P4, (arg1 > 0 /\ -2+arg1P3 >= 0 /\ arg2 > 0), cost: arg1P3 11: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=0, arg2'=arg2P2, (arg1 > 0 /\ -arg2+arg2P2 <= 0 /\ arg2P2 > 0), cost: 1 18: f182_0_main_InvokeMethod -> f274_0_growReduce_NONNULL : arg1'=1, arg2'=arg2P5, (arg1 > 0 /\ 1-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0), cost: 2 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, 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