WORST_CASE(Omega(0),?)

Initial ITS
Start location: __init
   0: f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 2-arg2P0 == 0 /\ 1+arg2 > 0), cost: 1
   1: f172_0_log_LE -> f172_0_log_LE : arg1'=arg1P1, arg2'=arg2P1, (-arg2P1+arg2^2 == 0 /\ -1+arg2 > 0 /\ -arg1+arg2 < 0 /\ arg1-arg1P1 == 0), cost: 1
   2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1


Applied preprocessing
Original rule:
f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 2-arg2P0 == 0 /\ 1+arg2 > 0), cost: 1
New rule:
f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1

Applied preprocessing
Original rule:
f172_0_log_LE -> f172_0_log_LE : arg1'=arg1P1, arg2'=arg2P1, (-arg2P1+arg2^2 == 0 /\ -1+arg2 > 0 /\ -arg1+arg2 < 0 /\ arg1-arg1P1 == 0), cost: 1
New rule:
f172_0_log_LE -> f172_0_log_LE : arg2'=arg2^2, (-1+arg2 > 0 /\ arg1-arg2 > 0), cost: 1

Simplified rules
Start location: __init
   3: f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   4: f172_0_log_LE -> f172_0_log_LE : arg2'=arg2^2, (-1+arg2 > 0 /\ arg1-arg2 > 0), cost: 1
   2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1


Accelerated simple loops
Start location: __init
   3: f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   4: f172_0_log_LE -> f172_0_log_LE : arg2'=arg2^2, (-1+arg2 > 0 /\ arg1-arg2 > 0), cost: 1
   2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1


Applied chaining
First rule:
f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
Second rule:
f172_0_log_LE -> f172_0_log_LE : arg2'=arg2^2, (-1+arg2 > 0 /\ arg1-arg2 > 0), cost: 1
New rule:
f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=4, (arg1 > 0 /\ -2+arg1P0 > 0 /\ 1+arg2 > 0), cost: 2

Applied deletion
Removed the following rules: 4

Chained accelerated rules with incoming rules
Start location: __init
   3: f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1+arg2 > 0), cost: 1
   5: f1_0_main_Load -> f172_0_log_LE : arg1'=arg1P0, arg2'=4, (arg1 > 0 /\ -2+arg1P0 > 0 /\ 1+arg2 > 0), cost: 2
   2: __init -> f1_0_main_Load : arg1'=arg1P2, arg2'=arg2P2, TRUE, cost: 1


Removed unreachable locations and irrelevant leafs
Start location: __init
  <empty>


Computing asymptotic complexity

Proved the following lower bound
Complexity:  Unknown
Cpx degree: ?

Solved cost: 0
Rule cost:   0