WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (arg2-arg1P0 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 1: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg1-arg3P1 == 0 /\ arg1-arg1P1 == 0 /\ -arg2P1+arg1 == 0), cost: 1 2: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (-1-arg1P2+arg1 == 0 /\ arg1 > 0 /\ arg2-arg3 == 0 /\ -1 < 0 /\ -99+arg2 > 0), cost: 1 3: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (arg2 > 0 /\ -100+arg2 < 0 /\ arg2-arg3 == 0 /\ arg2-arg1P3 == 0), cost: 1 4: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg2 > 0 /\ -100+arg2 < 0 /\ arg2-arg3 == 0 /\ arg2-arg1P4 == 0), cost: 1 5: f48_0_rec_GE -> f48_0_rec_GE : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, (-arg1P5+arg1 == 0 /\ arg2 > 0 /\ 1+arg2-arg3P5 == 0 /\ 1-arg2P5+arg2 == 0 /\ -100+arg2 < 0 /\ arg2-arg3 == 0), cost: 1 6: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=arg1P6, arg3'=arg3P6, (-1-arg1P6+arg1 == 0 /\ arg1 > 0 /\ -1 < 0), cost: 1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, arg3'=arg3P7, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (arg2-arg1P0 == 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: f1_0_main_Load -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2, arg3'=arg3P0, (1+arg2 > 0 /\ arg1 > 0), cost: 1 Applied preprocessing Original rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg1-arg3P1 == 0 /\ arg1-arg1P1 == 0 /\ -arg2P1+arg1 == 0), cost: 1 New rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (-1-arg1P2+arg1 == 0 /\ arg1 > 0 /\ arg2-arg3 == 0 /\ -1 < 0 /\ -99+arg2 > 0), cost: 1 New rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (arg2 > 0 /\ -100+arg2 < 0 /\ arg2-arg3 == 0 /\ arg2-arg1P3 == 0), cost: 1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P3, arg1'=arg2, arg3'=arg3P3, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg2 > 0 /\ -100+arg2 < 0 /\ arg2-arg3 == 0 /\ arg2-arg1P4 == 0), cost: 1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg2, arg3'=arg3P4, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 Applied preprocessing Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, (-arg1P5+arg1 == 0 /\ arg2 > 0 /\ 1+arg2-arg3P5 == 0 /\ 1-arg2P5+arg2 == 0 /\ -100+arg2 < 0 /\ arg2-arg3 == 0), cost: 1 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=1+arg2, arg3'=1+arg2, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 Applied preprocessing Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=arg1P6, arg3'=arg3P6, (-1-arg1P6+arg1 == 0 /\ arg1 > 0 /\ -1 < 0), cost: 1 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=-1+arg1, arg3'=arg3P6, arg1 > 0, cost: 1 Simplified rules Start location: __init 8: f1_0_main_Load -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2, arg3'=arg3P0, (1+arg2 > 0 /\ arg1 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 11: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P3, arg1'=arg2, arg3'=arg3P3, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 12: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg2, arg3'=arg3P4, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 13: f48_0_rec_GE -> f48_0_rec_GE : arg2'=1+arg2, arg3'=1+arg2, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 14: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=-1+arg1, arg3'=arg3P6, arg1 > 0, cost: 1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, arg3'=arg3P7, TRUE, cost: 1 Applied acceleration Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=1+arg2, arg3'=1+arg2, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=arg2+n, arg3'=arg2+n, (arg2 > 0 /\ -1+n >= 0 /\ arg2-arg3 >= 0 /\ 101-arg2-n > 0 /\ -arg2+arg3 >= 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_KDFnNM.txt Applied instantiation Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=arg2+n, arg3'=arg2+n, (arg2 > 0 /\ -1+n >= 0 /\ arg2-arg3 >= 0 /\ 101-arg2-n > 0 /\ -arg2+arg3 >= 0), cost: n New rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=100, arg3'=100, (1 > 0 /\ arg2 > 0 /\ 99-arg2 >= 0 /\ arg2-arg3 >= 0 /\ -arg2+arg3 >= 0), cost: 100-arg2 Applied simplification Original rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=100, arg3'=100, (1 > 0 /\ arg2 > 0 /\ 99-arg2 >= 0 /\ arg2-arg3 >= 0 /\ -arg2+arg3 >= 0), cost: 100-arg2 New rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg2 > 0 /\ arg2-arg3 >= 0 /\ -arg2+arg3 >= 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 : arg2'=arg2P6, arg1'=-1+arg1, arg3'=arg3P6, arg1 > 0, cost: 1 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=arg1-n0, arg3'=arg3P6, (1+arg1-n0 > 0 /\ -1+n0 >= 0), cost: n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_cOmkok.txt Applied instantiation Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=arg1-n0, arg3'=arg3P6, (1+arg1-n0 > 0 /\ -1+n0 >= 0), cost: n0 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 Applied simplification Original rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, (1 > 0 /\ -1+arg1 >= 0), cost: arg1 New rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, -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 : arg2'=arg2P0, arg1'=arg2, arg3'=arg3P0, (1+arg2 > 0 /\ arg1 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 11: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P3, arg1'=arg2, arg3'=arg3P3, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 12: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg2, arg3'=arg3P4, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 16: f48_0_rec_GE -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg2 > 0 /\ arg2-arg3 >= 0 /\ -arg2+arg3 >= 0 /\ -99+arg2 <= 0), cost: 100-arg2 18: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, -1+arg1 >= 0, cost: arg1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, arg3'=arg3P7, TRUE, cost: 1 Applied chaining First rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 Second rule: f48_0_rec_GE -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg2 > 0 /\ arg2-arg3 >= 0 /\ -arg2+arg3 >= 0 /\ -99+arg2 <= 0), cost: 100-arg2 New rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=100, arg3'=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 : arg2'=arg2P3, arg1'=arg2, arg3'=arg3P3, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 Second rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, -1+arg1 >= 0, cost: arg1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, (100-arg2 > 0 /\ -1+arg2 >= 0 /\ arg2-arg3 == 0), cost: 1+arg2 Applied chaining First rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg2, arg3'=arg3P4, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 Second rule: f77_0_descend_LE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, -1+arg1 >= 0, cost: arg1 New rule: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, (100-arg2 > 0 /\ -1+arg2 >= 0 /\ arg2-arg3 == 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 : arg2'=arg2P0, arg1'=arg2, arg3'=arg3P0, (1+arg2 > 0 /\ arg1 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 19: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 11: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P3, arg1'=arg2, arg3'=arg3P3, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 12: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P4, arg1'=arg2, arg3'=arg3P4, (arg2 > 0 /\ 100-arg2 > 0 /\ arg2-arg3 == 0), cost: 1 20: f48_0_rec_GE -> f77_0_descend_LE : arg2'=arg2P6, arg1'=0, arg3'=arg3P6, (100-arg2 > 0 /\ -1+arg2 >= 0 /\ arg2-arg3 == 0), cost: 1+arg2 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, arg3'=arg3P7, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 8: f1_0_main_Load -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2, arg3'=arg3P0, (1+arg2 > 0 /\ arg1 > 0), cost: 1 9: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 19: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 7: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, arg3'=arg3P7, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P7, arg1'=arg1P7, arg3'=arg3P7, TRUE, cost: 1 Second rule: f1_0_main_Load -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2, arg3'=arg3P0, (1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (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 : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 19: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 10: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 21: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (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 : arg2'=arg1, arg3'=arg1, TRUE, cost: 1 Second rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (0 == 0 /\ arg1 > 0 /\ -99+arg1 > 0), cost: 2 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (0 == 0 /\ arg1 > 0 /\ -99+arg1 > 0), cost: 2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, -99+arg1 > 0, cost: 2 Applied chaining First rule: f33_0_rec_Cmp -> f48_0_rec_GE : arg2'=100, arg3'=100, (arg1 > 0 /\ -99+arg1 <= 0), cost: 101-arg1 Second rule: f48_0_rec_GE -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ arg2-arg3 == 0 /\ -99+arg2 > 0), cost: 1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (0 == 0 /\ 1 > 0 /\ arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (0 == 0 /\ 1 > 0 /\ arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (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 22: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, -99+arg1 > 0, cost: 2 23: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 21: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Applied acceleration Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, -99+arg1 > 0, cost: 2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=arg1-n1, arg3'=arg3P2, (-1+n1 >= 0 /\ -98+arg1-n1 > 0), cost: 2*n1 Sub-proof via acceration calculus written to file:///tmp/tmpnam_gJjHLE.txt Applied instantiation Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=arg1-n1, arg3'=arg3P2, (-1+n1 >= 0 /\ -98+arg1-n1 > 0), cost: 2*n1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, (1 > 0 /\ -100+arg1 >= 0), cost: -198+2*arg1 Applied acceleration Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=-1+arg1, arg3'=arg3P2, (arg1 > 0 /\ -99+arg1 <= 0), cost: 102-arg1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=arg1-n2, arg3'=arg3P2, (99-arg1 >= 0 /\ -1+n2 >= 0 /\ 1+arg1-n2 > 0), cost: 1/2*n2^2+203/2*n2-arg1*n2 Sub-proof via acceration calculus written to file:///tmp/tmpnam_CImjhl.txt Applied instantiation Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=arg1-n2, arg3'=arg3P2, (99-arg1 >= 0 /\ -1+n2 >= 0 /\ 1+arg1-n2 > 0), cost: 1/2*n2^2+203/2*n2-arg1*n2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (1 > 0 /\ 99-arg1 >= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, (1 > 0 /\ -100+arg1 >= 0), cost: -198+2*arg1 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, -100+arg1 >= 0, cost: -198+2*arg1 Applied simplification Original rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (1 > 0 /\ 99-arg1 >= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 New rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (-99+arg1 <= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 Applied deletion Removed the following rules: 22 23 Accelerated simple loops Start location: __init 26: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, -100+arg1 >= 0, cost: -198+2*arg1 27: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (-99+arg1 <= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 21: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Applied chaining First rule: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Second rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, -100+arg1 >= 0, cost: -198+2*arg1 New rule: __init -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, -100+arg2P7 >= 0, cost: -196+2*arg2P7 Applied chaining First rule: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 Second rule: f33_0_rec_Cmp -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (-99+arg1 <= 0 /\ -1+arg1 >= 0), cost: 203/2*arg1-1/2*arg1^2 New rule: __init -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (-99+arg2P7 <= 0 /\ -1+arg2P7 >= 0), cost: 2-1/2*arg2P7^2+203/2*arg2P7 Applied deletion Removed the following rules: 26 27 Chained accelerated rules with incoming rules Start location: __init 21: __init -> f33_0_rec_Cmp : arg2'=arg2P0, arg1'=arg2P7, arg3'=arg3P0, (arg1P7 > 0 /\ 1+arg2P7 > 0), cost: 2 28: __init -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=99, arg3'=arg3P2, -100+arg2P7 >= 0, cost: -196+2*arg2P7 29: __init -> f33_0_rec_Cmp : arg2'=arg2P2, arg1'=0, arg3'=arg3P2, (-99+arg2P7 <= 0 /\ -1+arg2P7 >= 0), cost: 2-1/2*arg2P7^2+203/2*arg2P7 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