WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0 /\ -arg1P0+arg2 == 0), cost: 1 1: f33_0_rec_Cmp -> f48_0_rec_GE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1-arg2P1 == 0 /\ arg1-arg1P1 == 0 /\ arg1-arg3P1 == 0), cost: 1 2: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -1+arg1-arg1P2 == 0 /\ -arg3+arg2 == 0 /\ -1 < 0), cost: 1 3: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ -100+arg2 < 0 /\ arg2 > 0 /\ -arg1P3+arg2 == 0), cost: 1 4: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ -100+arg2 < 0 /\ arg2 > 0 /\ -arg1P4+arg2 == 0), cost: 1 5: f48_0_rec_GE -> f48_0_rec_GE : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (-arg3+arg2 == 0 /\ -100+arg2 < 0 /\ arg1-arg1P5 == 0 /\ arg2 > 0 /\ 1+arg2-arg2P5 == 0 /\ 1-arg3P5+arg2 == 0), cost: 1 6: f77_0_descend_LE -> f77_0_descend_LE : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ -1+arg1-arg1P6 == 0 /\ -1 < 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 -> f33_0_rec_Cmp : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0 /\ -arg1P0+arg2 == 0), cost: 1 New rule: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1-arg2P1 == 0 /\ arg1-arg1P1 == 0 /\ arg1-arg3P1 == 0), cost: 1 New rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -1+arg1-arg1P2 == 0 /\ -arg3+arg2 == 0 /\ -1 < 0), cost: 1 New rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ -100+arg2 < 0 /\ arg2 > 0 /\ -arg1P3+arg2 == 0), cost: 1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ -100+arg2 < 0 /\ arg2 > 0 /\ -arg1P4+arg2 == 0), cost: 1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (-arg3+arg2 == 0 /\ -100+arg2 < 0 /\ arg1-arg1P5 == 0 /\ arg2 > 0 /\ 1+arg2-arg2P5 == 0 /\ 1-arg3P5+arg2 == 0), cost: 1 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, (arg1 > 0 /\ -1+arg1-arg1P6 == 0 /\ -1 < 0), cost: 1 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=-1+arg1, arg3'=arg3P6, arg2'=arg2P6, arg1 > 0, cost: 1 Simplified rules Start location: __init 8: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 11: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 12: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 13: f48_0_rec_GE -> f48_0_rec_GE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 14: f77_0_descend_LE -> f77_0_descend_LE : arg1'=-1+arg1, arg3'=arg3P6, arg2'=arg2P6, arg1 > 0, cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Applied acceleration Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=1+arg2, arg2'=1+arg2, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=arg2+n0, arg2'=arg2+n0, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -1+n0 >= 0 /\ 101-arg2-n0 > 0 /\ arg2 > 0), cost: n0 Applied instantiation Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=arg2+n0, arg2'=arg2+n0, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ -1+n0 >= 0 /\ 101-arg2-n0 > 0 /\ arg2 > 0), cost: n0 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=100, arg2'=100, (1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ arg2 > 0 /\ 99-arg2 >= 0), cost: 100-arg2 Applied simplification Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=100, arg2'=100, (1 > 0 /\ arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ arg2 > 0 /\ 99-arg2 >= 0), cost: 100-arg2 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ arg2 > 0 /\ 99-arg2 >= 0), cost: 100-arg2 Applied deletion Removed the following rules: 13 Applied acceleration Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=-1+arg1, arg3'=arg3P6, arg2'=arg2P6, arg1 > 0, cost: 1 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=arg1-n3, arg3'=arg3P6, arg2'=arg2P6, (-1+n3 >= 0 /\ 1+arg1-n3 > 0), cost: n3 Applied instantiation Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=arg1-n3, arg3'=arg3P6, arg2'=arg2P6, (-1+n3 >= 0 /\ 1+arg1-n3 > 0), cost: n3 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: __init 8: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 11: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 12: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 16: f48_0_rec_GE -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ arg2 > 0 /\ 99-arg2 >= 0), cost: 100-arg2 18: f77_0_descend_LE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Applied chaining First rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 Second rule: f48_0_rec_GE -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg3-arg2 >= 0 /\ -arg3+arg2 >= 0 /\ arg2 > 0 /\ 99-arg2 >= 0), cost: 100-arg2 New rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 Applied deletion Removed the following rules: 16 Applied chaining First rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 Second rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1+arg2 Applied chaining First rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 Second rule: f77_0_descend_LE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, -1+arg1 >= 0, cost: arg1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1+arg2 Applied deletion Removed the following rules: 18 Chained accelerated rules with incoming rules Start location: __init 8: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 19: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 11: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P3, arg2'=arg2P3, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 12: f48_0_rec_GE -> f77_0_descend_LE : arg1'=arg2, arg3'=arg3P4, arg2'=arg2P4, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1 20: f48_0_rec_GE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1+arg2 21: f48_0_rec_GE -> f77_0_descend_LE : arg1'=0, arg3'=arg3P6, arg2'=arg2P6, (-arg3+arg2 == 0 /\ 100-arg2 > 0 /\ arg2 > 0), cost: 1+arg2 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 8: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 19: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 7: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P7, arg3'=arg3P7, arg2'=arg2P7, TRUE, cost: 1 Second rule: f1_0_main_Load -> f33_0_rec_Cmp : arg1'=arg2, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 New rule: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Applied deletion Removed the following rules: 7 8 Eliminated locations on linear paths Start location: __init 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 19: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 22: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Eliminating location f48_0_rec_GE by chaining: Applied chaining First rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=arg1, arg2'=arg1, TRUE, cost: 1 Second rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ arg1 > 0 /\ -99+arg1 > 0), cost: 2 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ arg1 > 0 /\ -99+arg1 > 0), cost: 2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, -99+arg1 > 0, cost: 2 Applied chaining First rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg3'=100, arg2'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 Second rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg2 > 0 /\ -arg3+arg2 == 0), cost: 1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ arg1 > 0 /\ 1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (0 == 0 /\ arg1 > 0 /\ 1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 Applied deletion Removed the following rules: 9 10 19 Eliminated locations on tree-shaped paths Start location: __init 23: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, -99+arg1 > 0, cost: 2 24: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 22: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Applied acceleration Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, -99+arg1 > 0, cost: 2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=arg1-n7, arg3'=arg3P2, arg2'=arg2P2, (-1+n7 >= 0 /\ -98+arg1-n7 > 0), cost: 2*n7 Applied instantiation Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=arg1-n7, arg3'=arg3P2, arg2'=arg2P2, (-1+n7 >= 0 /\ -98+arg1-n7 > 0), cost: 2*n7 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ -100+arg1 >= 0), cost: -198+2*arg1 Applied acceleration Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=-1+arg1, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=arg1-n9, arg3'=arg3P2, arg2'=arg2P2, (1+arg1-n9 > 0 /\ 99-arg1 >= 0 /\ -1+n9 >= 0), cost: 1/2*n9^2+203/2*n9-arg1*n9 Applied instantiation Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=arg1-n9, arg3'=arg3P2, arg2'=arg2P2, (1+arg1-n9 > 0 /\ 99-arg1 >= 0 /\ -1+n9 >= 0), cost: 1/2*n9^2+203/2*n9-arg1*n9 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ -1+arg1 >= 0 /\ 99-arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ -100+arg1 >= 0), cost: -198+2*arg1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, -100+arg1 >= 0, cost: -198+2*arg1 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (1 > 0 /\ -1+arg1 >= 0 /\ 99-arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (-99+arg1 <= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 Applied deletion Removed the following rules: 23 24 Accelerated simple loops Start location: __init 27: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, -100+arg1 >= 0, cost: -198+2*arg1 28: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (-99+arg1 <= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 22: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Applied chaining First rule: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Second rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, -100+arg1 >= 0, cost: -198+2*arg1 New rule: __init -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, -100+arg2P7 >= 0, cost: -196+2*arg2P7 Applied chaining First rule: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Second rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (-99+arg1 <= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 New rule: __init -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (-1+arg2P7 >= 0 /\ -99+arg2P7 <= 0), cost: 2+203/2*arg2P7-1/2*arg2P7^2 Applied deletion Removed the following rules: 27 28 Chained accelerated rules with incoming rules Start location: __init 22: __init -> f33_0_rec_Cmp : arg1'=arg2P7, arg3'=arg3P0, arg2'=arg2P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 29: __init -> f33_0_rec_Cmp : arg1'=99, arg3'=arg3P2, arg2'=arg2P2, -100+arg2P7 >= 0, cost: -196+2*arg2P7 30: __init -> f33_0_rec_Cmp : arg1'=0, arg3'=arg3P2, arg2'=arg2P2, (-1+arg2P7 >= 0 /\ -99+arg2P7 <= 0), cost: 2+203/2*arg2P7-1/2*arg2P7^2 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