WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_New -> f200_0_solve_GE : arg1'=arg1P0, 5-arg1P0 == 0, cost: 1 1: f200_0_solve_GE -> f200_0_solve_GE : arg1'=arg1P1, (-1+arg1-arg1P1 == 0 /\ -1+arg1 > 0 /\ -1 < 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_New -> f200_0_solve_GE : arg1'=arg1P0, 5-arg1P0 == 0, cost: 1 New rule: f1_0_main_New -> f200_0_solve_GE : arg1'=5, TRUE, cost: 1 Applied preprocessing Original rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=arg1P1, (-1+arg1-arg1P1 == 0 /\ -1+arg1 > 0 /\ -1 < 0), cost: 1 New rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=-1+arg1, -1+arg1 > 0, cost: 1 Simplified rules Start location: __init 3: f1_0_main_New -> f200_0_solve_GE : arg1'=5, TRUE, cost: 1 4: f200_0_solve_GE -> f200_0_solve_GE : arg1'=-1+arg1, -1+arg1 > 0, cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied acceleration Original rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=-1+arg1, -1+arg1 > 0, cost: 1 New rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=arg1-n0, (n0 >= 0 /\ arg1-n0 > 0), cost: n0 Applied instantiation Original rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=arg1-n0, (n0 >= 0 /\ arg1-n0 > 0), cost: n0 New rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=1, (1 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 Applied simplification Original rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=1, (1 > 0 /\ -1+arg1 >= 0), cost: -1+arg1 New rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=1, -1+arg1 >= 0, cost: -1+arg1 Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 3: f1_0_main_New -> f200_0_solve_GE : arg1'=5, TRUE, cost: 1 6: f200_0_solve_GE -> f200_0_solve_GE : arg1'=1, -1+arg1 >= 0, cost: -1+arg1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_New -> f200_0_solve_GE : arg1'=5, TRUE, cost: 1 Second rule: f200_0_solve_GE -> f200_0_solve_GE : arg1'=1, -1+arg1 >= 0, cost: -1+arg1 New rule: f1_0_main_New -> f200_0_solve_GE : arg1'=1, 4 >= 0, cost: 5 Applied deletion Removed the following rules: 6 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_New -> f200_0_solve_GE : arg1'=5, TRUE, cost: 1 7: f1_0_main_New -> f200_0_solve_GE : arg1'=1, 4 >= 0, cost: 5 2: __init -> f1_0_main_New : arg1'=arg1P2, 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