WORST_CASE(Omega(1),?)

### Pre-processing the ITS problem ###

Initial linear ITS problem
   Start location: __init
      0: f1_0_main_Load -> f91_0_divBy_LE : arg1'=arg1P_1, arg2'=arg2P_1, [ arg2P_1>-1 && arg2>0 && arg1>0 && 0==arg1P_1 ], cost: 1
      1: f91_0_divBy_LE -> f91_0_divBy_LE\' : arg1'=arg1P_2, arg2'=arg2P_2, [ arg2>0 && arg2>x7_1 && x7_1>-1 && arg1>-1 && arg1==arg1P_2 && arg2==arg2P_2 ], cost: 1
      2: f91_0_divBy_LE\' -> f91_0_divBy_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2>0 && arg2>arg2P_3 && arg1>-1 && arg2P_3>-1 && arg2-2*arg2P_3<2 && arg2-2*arg2P_3>=0 && arg1+arg2P_3==arg1P_3 ], cost: 1
      3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      0: f1_0_main_Load -> f91_0_divBy_LE : arg1'=0, arg2'=arg2P_1, [ arg2P_1>-1 && arg2>0 && arg1>0 ], cost: 1
      1: f91_0_divBy_LE -> f91_0_divBy_LE\' : [ arg1>-1 && 0<=-1+arg2 ], cost: 1
      2: f91_0_divBy_LE\' -> f91_0_divBy_LE : arg1'=arg1+arg2P_3, arg2'=arg2P_3, [ arg2>arg2P_3 && arg1>-1 && arg2P_3>-1 && arg2-2*arg2P_3<2 && arg2-2*arg2P_3>=0 ], cost: 1
      3: __init -> f1_0_main_Load : arg1'=arg1P_4, arg2'=arg2P_4, [], cost: 1

### Simplification by acceleration and chaining ###

Eliminated locations (on linear paths):
   Start location: __init
      5: f91_0_divBy_LE -> f91_0_divBy_LE : arg1'=arg1+arg2P_3, arg2'=arg2P_3, [ arg1>-1 && 0<=-1+arg2 && arg2>arg2P_3 && arg2P_3>-1 && arg2-2*arg2P_3<2 && arg2-2*arg2P_3>=0 ], cost: 2
      4: __init -> f91_0_divBy_LE : arg1'=0, arg2'=arg2P_1, [ arg2P_1>-1 && arg2P_4>0 && arg1P_4>0 ], cost: 2

Accelerating simple loops of location 1.
   Accelerating the following rules:
      5: f91_0_divBy_LE -> f91_0_divBy_LE : arg1'=arg1+arg2P_3, arg2'=arg2P_3, [ arg1>-1 && 0<=-1+arg2 && arg2>arg2P_3 && arg2P_3>-1 && arg2-2*arg2P_3<2 && arg2-2*arg2P_3>=0 ], cost: 2

      During metering: Instantiating temporary variables by {arg2P_3==-1+arg2}
   Accelerated rule 5 with metering function arg2, yielding the new rule 6.
   Removing the simple loops: 5.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      6: f91_0_divBy_LE -> f91_0_divBy_LE : arg1'=1/2*arg2^2+arg1-1/2*arg2, arg2'=0, [ arg1>-1 && 0<=-1+arg2 && 2-arg2>=0 ], cost: 2*arg2
      4: __init -> f91_0_divBy_LE : arg1'=0, arg2'=arg2P_1, [ arg2P_1>-1 && arg2P_4>0 && arg1P_4>0 ], cost: 2

Chained accelerated rules (with incoming rules):
   Start location: __init
      4: __init -> f91_0_divBy_LE : arg1'=0, arg2'=arg2P_1, [ arg2P_1>-1 && arg2P_4>0 && arg1P_4>0 ], cost: 2
      7: __init -> f91_0_divBy_LE : arg1'=-1/2*arg2P_1+1/2*arg2P_1^2, arg2'=0, [ 0<=-1+arg2P_1 && 2-arg2P_1>=0 ], cost: 2+2*arg2P_1

Removed unreachable locations (and leaf rules with constant cost):
   Start location: __init
      7: __init -> f91_0_divBy_LE : arg1'=-1/2*arg2P_1+1/2*arg2P_1^2, arg2'=0, [ 0<=-1+arg2P_1 && 2-arg2P_1>=0 ], cost: 2+2*arg2P_1

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: __init
      7: __init -> f91_0_divBy_LE : arg1'=-1/2*arg2P_1+1/2*arg2P_1^2, arg2'=0, [ 0<=-1+arg2P_1 && 2-arg2P_1>=0 ], cost: 2+2*arg2P_1

Computing asymptotic complexity for rule 7
   Could not solve the limit problem.
   Resulting cost 0 has complexity: Unknown

Obtained the following overall complexity (w.r.t. the length of the input n):
   Complexity:  Constant
   Cpx degree:  0
   Solved cost: 1
   Rule cost:   1
   Rule guard:  []

WORST_CASE(Omega(1),?)