WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -arg2P0 == 0 /\ arg2 > 0), cost: 1 1: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 4: f1_0_main_Load -> f167_0_log_LT : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ -arg2 == 0 /\ -arg1P4 == 0 /\ -arg3P4 == 0 /\ -arg2P4 == 0), cost: 1 2: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -arg3P2 == 0 /\ arg1P2 > 0 /\ -arg2P2+arg2 == 0 /\ -1+x70 > 0 /\ arg1-arg1P2 >= 0), cost: 1 3: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ arg1P3 > 0 /\ 1+arg3P3 > 0 /\ arg2-arg2P3 == 0 /\ -arg1+arg1P3 <= 0 /\ -1+x110 > 0), cost: 1 5: f96_0_random_GT -> f167_0_log_LT : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ -arg1P5 == 0 /\ -arg3P5 == 0 /\ arg2-arg2P5 == 0), cost: 1 6: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ -1+x190 > 0 /\ -arg2P6+arg2 == 0 /\ arg3-arg1P6 == 0 /\ arg3-arg3P6 == 0), cost: 1 7: f167_0_log_LT -> f167_0_log_LT\' : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, (-x280+arg2 > 0 /\ -1+arg1 > 0 /\ arg1-arg3P7 == 0 /\ -arg2P7+arg2 == 0 /\ arg1-arg1P7 == 0 /\ -1+arg2 > 0 /\ arg1-arg3 == 0 /\ arg1-arg2 <= 0), cost: 1 8: f167_0_log_LT\' -> f167_0_log_LT : arg1'=arg1P8, arg3'=arg3P8, arg2'=arg2P8, (-1+arg1 > 0 /\ -1+arg2 > 0 /\ arg1-arg3 == 0 /\ arg1-arg1P8 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0 /\ arg1-arg3P8 == 0), cost: 1 9: __init -> f1_0_main_Load : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ -arg2P0 == 0 /\ arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=0, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -arg3P2 == 0 /\ arg1P2 > 0 /\ -arg2P2+arg2 == 0 /\ -1+x70 > 0 /\ arg1-arg1P2 >= 0), cost: 1 New rule: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=0, (arg1P2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 Applied preprocessing Original rule: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg1 > 0 /\ arg1P3 > 0 /\ 1+arg3P3 > 0 /\ arg2-arg2P3 == 0 /\ -arg1+arg1P3 <= 0 /\ -1+x110 > 0), cost: 1 New rule: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, (arg1P3 > 0 /\ 1+arg3P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f167_0_log_LT : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ -arg2 == 0 /\ -arg1P4 == 0 /\ -arg3P4 == 0 /\ -arg2P4 == 0), cost: 1 New rule: f1_0_main_Load -> f167_0_log_LT : arg1'=0, arg3'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 Applied preprocessing Original rule: f96_0_random_GT -> f167_0_log_LT : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (arg1 > 0 /\ -arg1P5 == 0 /\ -arg3P5 == 0 /\ arg2-arg2P5 == 0), cost: 1 New rule: f96_0_random_GT -> f167_0_log_LT : arg1'=0, arg3'=0, arg1 > 0, cost: 1 Applied preprocessing Original rule: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ -1+x190 > 0 /\ -arg2P6+arg2 == 0 /\ arg3-arg1P6 == 0 /\ arg3-arg3P6 == 0), cost: 1 New rule: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg1 > 0, cost: 1 Applied preprocessing Original rule: f167_0_log_LT -> f167_0_log_LT\' : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, (-x280+arg2 > 0 /\ -1+arg1 > 0 /\ arg1-arg3P7 == 0 /\ -arg2P7+arg2 == 0 /\ arg1-arg1P7 == 0 /\ -1+arg2 > 0 /\ arg1-arg3 == 0 /\ arg1-arg2 <= 0), cost: 1 New rule: f167_0_log_LT -> f167_0_log_LT\' : arg3'=arg1, (-1+arg1 > 0 /\ arg1-arg3 == 0 /\ arg1-arg2 <= 0), cost: 1 Applied preprocessing Original rule: f167_0_log_LT\' -> f167_0_log_LT : arg1'=arg1P8, arg3'=arg3P8, arg2'=arg2P8, (-1+arg1 > 0 /\ -1+arg2 > 0 /\ arg1-arg3 == 0 /\ arg1-arg1P8 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0 /\ arg1-arg3P8 == 0), cost: 1 New rule: f167_0_log_LT\' -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 1 Simplified rules Start location: __init 10: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=0, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2 > 0), cost: 1 11: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 14: f1_0_main_Load -> f167_0_log_LT : arg1'=0, arg3'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 12: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=0, (arg1P2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 13: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, (arg1P3 > 0 /\ 1+arg3P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 15: f96_0_random_GT -> f167_0_log_LT : arg1'=0, arg3'=0, arg1 > 0, cost: 1 16: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg1 > 0, cost: 1 17: f167_0_log_LT -> f167_0_log_LT\' : arg3'=arg1, (-1+arg1 > 0 /\ arg1-arg3 == 0 /\ arg1-arg2 <= 0), cost: 1 18: f167_0_log_LT\' -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 1 9: __init -> f1_0_main_Load : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, TRUE, cost: 1 Eliminating location f167_0_log_LT\' by chaining: Applied chaining First rule: f167_0_log_LT -> f167_0_log_LT\' : arg3'=arg1, (-1+arg1 > 0 /\ arg1-arg3 == 0 /\ arg1-arg2 <= 0), cost: 1 Second rule: f167_0_log_LT\' -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 1 New rule: f167_0_log_LT -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (0 == 0 /\ -1+arg1 > 0 /\ arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 2 Applied simplification Original rule: f167_0_log_LT -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (0 == 0 /\ -1+arg1 > 0 /\ arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 2 New rule: f167_0_log_LT -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 2 Applied deletion Removed the following rules: 17 18 Eliminated locations on linear paths Start location: __init 10: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=0, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2 > 0), cost: 1 11: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 14: f1_0_main_Load -> f167_0_log_LT : arg1'=0, arg3'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 12: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=0, (arg1P2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 13: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, (arg1P3 > 0 /\ 1+arg3P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 15: f96_0_random_GT -> f167_0_log_LT : arg1'=0, arg3'=0, arg1 > 0, cost: 1 16: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg1 > 0, cost: 1 19: f167_0_log_LT -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 2 9: __init -> f1_0_main_Load : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, TRUE, cost: 1 Accelerated simple loops Start location: __init 10: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=0, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2 > 0), cost: 1 11: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 14: f1_0_main_Load -> f167_0_log_LT : arg1'=0, arg3'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 12: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=0, (arg1P2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 13: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, (arg1P3 > 0 /\ 1+arg3P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 15: f96_0_random_GT -> f167_0_log_LT : arg1'=0, arg3'=0, arg1 > 0, cost: 1 16: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg1 > 0, cost: 1 19: f167_0_log_LT -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 2 9: __init -> f1_0_main_Load : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, TRUE, cost: 1 Applied chaining First rule: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg1 > 0, cost: 1 Second rule: f167_0_log_LT -> f167_0_log_LT : arg3'=arg1, arg2'=arg2P8, (arg1-arg3 == 0 /\ arg2-arg1*arg2P8 >= 0 /\ arg1-arg2 <= 0 /\ arg1-arg2+arg1*arg2P8 > 0 /\ -arg2P8+arg2 > 0), cost: 2 New rule: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg2'=arg2P8, (arg1 > 0 /\ arg3+arg3*arg2P8-arg2 > 0 /\ arg3-arg2 <= 0 /\ -arg2P8+arg2 > 0 /\ -arg3*arg2P8+arg2 >= 0), cost: 3 Applied deletion Removed the following rules: 19 Chained accelerated rules with incoming rules Start location: __init 10: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P0, arg3'=arg3P0, arg2'=0, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ arg2 > 0), cost: 1 11: f1_0_main_Load -> f96_0_random_GT : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (-arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg2P1 > 0 /\ arg2 > 0), cost: 1 14: f1_0_main_Load -> f167_0_log_LT : arg1'=0, arg3'=0, arg2'=0, (arg1 > 0 /\ arg2 == 0), cost: 1 12: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P2, arg3'=0, (arg1P2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 13: f96_0_random_GT -> f154_0_main_InvokeMethod : arg1'=arg1P3, arg3'=arg3P3, (arg1P3 > 0 /\ 1+arg3P3 > 0 /\ -arg1+arg1P3 <= 0), cost: 1 15: f96_0_random_GT -> f167_0_log_LT : arg1'=0, arg3'=0, arg1 > 0, cost: 1 16: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg1 > 0, cost: 1 20: f154_0_main_InvokeMethod -> f167_0_log_LT : arg1'=arg3, arg2'=arg2P8, (arg1 > 0 /\ arg3+arg3*arg2P8-arg2 > 0 /\ arg3-arg2 <= 0 /\ -arg2P8+arg2 > 0 /\ -arg3*arg2P8+arg2 >= 0), cost: 3 9: __init -> f1_0_main_Load : arg1'=arg1P9, arg3'=arg3P9, arg2'=arg2P9, 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