WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f83_0_main_ArrayAccess : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1-arg2P0+arg2 == 0 /\ 1+arg2 > 0 /\ arg2-arg3P0 == 0), cost: 1 1: f83_0_main_ArrayAccess -> f83_0_main_ArrayAccess : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ arg3-arg2 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ arg3-arg3P1 == 0 /\ 1+arg3-arg2P1 == 0 /\ 1+arg3 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f83_0_main_ArrayAccess : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1-arg2P0+arg2 == 0 /\ 1+arg2 > 0 /\ arg2-arg3P0 == 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f83_0_main_ArrayAccess : arg1'=arg1P0, arg3'=arg2, arg2'=1+arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f83_0_main_ArrayAccess -> f83_0_main_ArrayAccess : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ arg3-arg2 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ arg3-arg3P1 == 0 /\ 1+arg3-arg2P1 == 0 /\ 1+arg3 > 0), cost: 1 New rule: f83_0_main_ArrayAccess -> f83_0_main_ArrayAccess : arg1'=arg1P1, arg2'=1+arg3, (arg3-arg2 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_ConstantStackPush -> f83_0_main_ArrayAccess : arg1'=arg1P0, arg3'=arg2, arg2'=1+arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 4: f83_0_main_ArrayAccess -> f83_0_main_ArrayAccess : arg1'=arg1P1, arg2'=1+arg3, (arg3-arg2 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Accelerated simple loops Start location: __init 3: f1_0_main_ConstantStackPush -> f83_0_main_ArrayAccess : arg1'=arg1P0, arg3'=arg2, arg2'=1+arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 4: f83_0_main_ArrayAccess -> f83_0_main_ArrayAccess : arg1'=arg1P1, arg2'=1+arg3, (arg3-arg2 > 0 /\ -arg1+arg1P1 <= 0 /\ arg1P1 > 0 /\ 1+arg3 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, TRUE, cost: 1 Applied deletion Removed the following rules: 4 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_ConstantStackPush -> f83_0_main_ArrayAccess : arg1'=arg1P0, arg3'=arg2, arg2'=1+arg2, (-arg1+arg1P0 <= 0 /\ arg1P0 > 0 /\ 1+arg2 > 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, 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