WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg2 > 0 /\ -1-2*x100+x90 == 0 /\ arg2-arg2P0 == 0 /\ arg1-arg1P0 == 0 /\ 1+x90 > 0), cost: 1 2: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ arg2-arg2P2 == 0 /\ arg1-arg1P2 == 0 /\ arg2 > 0 /\ 1+x170 > 0 /\ -2*x180+x170 == 0), cost: 1 1: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -1-2*x140+x130 == 0 /\ 1-arg1P1 == 0 /\ 1+x130 > 0 /\ arg2 > 0 /\ -2*x140+x130 >= 0 /\ -arg2P1 == 0 /\ -2-2*x140+x130 < 0), cost: 1 3: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ -arg1P3 == 0 /\ 1+x210 > 0 /\ arg2 > 0 /\ 1-arg2P3 == 0 /\ -2*x220+x210 >= 0 /\ -2*x220+x210 == 0 /\ -2-2*x220+x210 < 0), cost: 1 4: f174_0_test_EQ -> f174_0_test_EQ : arg1'=arg1P4, arg2'=arg2P4, (-1+arg1-arg1P4 == 0 /\ arg1-arg2 == 0 /\ -1+arg1-arg2P4 == 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ arg2 > 0 /\ -1-2*x100+x90 == 0 /\ arg2-arg2P0 == 0 /\ arg1-arg1P0 == 0 /\ 1+x90 > 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 2+2*x100 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ -1-2*x140+x130 == 0 /\ 1-arg1P1 == 0 /\ 1+x130 > 0 /\ arg2 > 0 /\ -2*x140+x130 >= 0 /\ -arg2P1 == 0 /\ -2-2*x140+x130 < 0), cost: 1 New rule: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=1, arg2'=0, (arg1 > 0 /\ arg2 > 0 /\ 2+2*x140 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f1_0_main_Load\' : arg1'=arg1P2, arg2'=arg2P2, (arg1 > 0 /\ arg2-arg2P2 == 0 /\ arg1-arg1P2 == 0 /\ arg2 > 0 /\ 1+x170 > 0 /\ -2*x180+x170 == 0), cost: 1 New rule: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+2*x180 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ -arg1P3 == 0 /\ 1+x210 > 0 /\ arg2 > 0 /\ 1-arg2P3 == 0 /\ -2*x220+x210 >= 0 /\ -2*x220+x210 == 0 /\ -2-2*x220+x210 < 0), cost: 1 New rule: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=0, arg2'=1, (arg1 > 0 /\ 1+2*x220 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f174_0_test_EQ -> f174_0_test_EQ : arg1'=arg1P4, arg2'=arg2P4, (-1+arg1-arg1P4 == 0 /\ arg1-arg2 == 0 /\ -1+arg1-arg2P4 == 0), cost: 1 New rule: f174_0_test_EQ -> f174_0_test_EQ : arg1'=-1+arg1, arg2'=-1+arg1, arg1-arg2 == 0, cost: 1 Simplified rules Start location: __init 6: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 2+2*x100 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+2*x180 > 0 /\ arg2 > 0), cost: 1 7: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=1, arg2'=0, (arg1 > 0 /\ arg2 > 0 /\ 2+2*x140 > 0), cost: 1 9: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=0, arg2'=1, (arg1 > 0 /\ 1+2*x220 > 0 /\ arg2 > 0), cost: 1 10: f174_0_test_EQ -> f174_0_test_EQ : arg1'=-1+arg1, arg2'=-1+arg1, arg1-arg2 == 0, cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Applied nonterm Original rule: f174_0_test_EQ -> f174_0_test_EQ : arg1'=-1+arg1, arg2'=-1+arg1, arg1-arg2 == 0, cost: 1 New rule: f174_0_test_EQ -> [4] : (-arg1+arg2 >= 0 /\ arg1-arg2 >= 0), cost: NONTERM Applied acceleration Original rule: f174_0_test_EQ -> f174_0_test_EQ : arg1'=-1+arg1, arg2'=-1+arg1, arg1-arg2 == 0, cost: 1 New rule: f174_0_test_EQ -> f174_0_test_EQ : arg1'=arg1-n0, arg2'=arg1-n0, (-arg1+arg2 >= 0 /\ arg1-arg2 >= 0), cost: n0 Applied deletion Removed the following rules: 10 Accelerated simple loops Start location: __init 6: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 2+2*x100 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+2*x180 > 0 /\ arg2 > 0), cost: 1 7: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=1, arg2'=0, (arg1 > 0 /\ arg2 > 0 /\ 2+2*x140 > 0), cost: 1 9: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=0, arg2'=1, (arg1 > 0 /\ 1+2*x220 > 0 /\ arg2 > 0), cost: 1 11: f174_0_test_EQ -> [4] : (-arg1+arg2 >= 0 /\ arg1-arg2 >= 0), cost: NONTERM 12: f174_0_test_EQ -> f174_0_test_EQ : arg1'=arg1-n0, arg2'=arg1-n0, (-arg1+arg2 >= 0 /\ arg1-arg2 >= 0), cost: n0 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, TRUE, cost: 1 Applied deletion Removed the following rules: 11 12 Chained accelerated rules with incoming rules Start location: __init 6: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 2+2*x100 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f1_0_main_Load\' : (arg1 > 0 /\ 1+2*x180 > 0 /\ arg2 > 0), cost: 1 7: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=1, arg2'=0, (arg1 > 0 /\ arg2 > 0 /\ 2+2*x140 > 0), cost: 1 9: f1_0_main_Load\' -> f174_0_test_EQ : arg1'=0, arg2'=1, (arg1 > 0 /\ 1+2*x220 > 0 /\ arg2 > 0), cost: 1 5: __init -> f1_0_main_Load : arg1'=arg1P5, arg2'=arg2P5, 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