Initial Problem

Start: eval_perfect1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_perfect1_bb0_in, eval_perfect1_bb1_in, eval_perfect1_bb2_in, eval_perfect1_bb3_in, eval_perfect1_bb4_in, eval_perfect1_bb5_in, eval_perfect1_bb6_in, eval_perfect1_bb7_in, eval_perfect1_start, eval_perfect1_stop
Transitions:
2:eval_perfect1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<Arg_0
1:eval_perfect1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=1
3:eval_perfect1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_0-1,Arg_2,Arg_0)
4:eval_perfect1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3):|:0<Arg_1
5:eval_perfect1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
6:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_2
7:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<Arg_1
8:eval_perfect1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2-Arg_1,Arg_3)
9:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3-Arg_1):|:Arg_2<=0 && 0<=Arg_2
10:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_2<0
11:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:0<Arg_2
12:eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<0
13:eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_3
14:eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && 0<=Arg_3
15:eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_perfect1_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant 2<=Arg_0 for location eval_perfect1_bb1_in

Found invariant Arg_3<=Arg_0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb2_in

Found invariant Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb5_in

Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb3_in

Found invariant Arg_3<=Arg_0 && Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb6_in

Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb4_in

Problem after Preprocessing

Start: eval_perfect1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_perfect1_bb0_in, eval_perfect1_bb1_in, eval_perfect1_bb2_in, eval_perfect1_bb3_in, eval_perfect1_bb4_in, eval_perfect1_bb5_in, eval_perfect1_bb6_in, eval_perfect1_bb7_in, eval_perfect1_start, eval_perfect1_stop
Transitions:
2:eval_perfect1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<Arg_0
1:eval_perfect1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=1
3:eval_perfect1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_0-1,Arg_2,Arg_0):|:2<=Arg_0
4:eval_perfect1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_1
5:eval_perfect1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=0
6:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2
7:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1
8:eval_perfect1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2-Arg_1,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
9:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3-Arg_1):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0 && 0<=Arg_2
10:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<0
11:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2
12:eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<0
13:eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_3
14:eval_perfect1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<=0 && 0<=Arg_3
15:eval_perfect1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_perfect1_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

MPRF for transition 4:eval_perfect1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_1 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

eval_perfect1_bb4_in [Arg_1 ]
eval_perfect1_bb3_in [Arg_1 ]
eval_perfect1_bb5_in [Arg_1 ]
eval_perfect1_bb2_in [Arg_1+1 ]

MPRF for transition 7:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

eval_perfect1_bb4_in [Arg_1 ]
eval_perfect1_bb3_in [Arg_1 ]
eval_perfect1_bb5_in [Arg_1-1 ]
eval_perfect1_bb2_in [Arg_1 ]

MPRF for transition 9:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3-Arg_1):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=0 && 0<=Arg_2 of depth 1:

new bound:

2*Arg_0 {O(n)}

MPRF:

eval_perfect1_bb4_in [Arg_0+Arg_1 ]
eval_perfect1_bb3_in [Arg_0+Arg_1 ]
eval_perfect1_bb5_in [Arg_0+Arg_1 ]
eval_perfect1_bb2_in [Arg_0+Arg_1 ]

MPRF for transition 10:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

eval_perfect1_bb4_in [Arg_1 ]
eval_perfect1_bb3_in [Arg_1 ]
eval_perfect1_bb5_in [Arg_1 ]
eval_perfect1_bb2_in [Arg_1 ]

MPRF for transition 11:eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 0<Arg_2 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

eval_perfect1_bb4_in [Arg_1 ]
eval_perfect1_bb3_in [Arg_1 ]
eval_perfect1_bb5_in [Arg_1 ]
eval_perfect1_bb2_in [Arg_1 ]

MPRF for transition 6:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_2 of depth 1:

new bound:

4*Arg_0*Arg_0+5*Arg_0+1 {O(n^2)}

MPRF:

eval_perfect1_bb2_in [Arg_0+1 ]
eval_perfect1_bb5_in [Arg_2-Arg_1 ]
eval_perfect1_bb4_in [Arg_2-Arg_1 ]
eval_perfect1_bb3_in [Arg_2+1-Arg_1 ]

MPRF for transition 8:eval_perfect1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2-Arg_1,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 of depth 1:

new bound:

8*Arg_0*Arg_0+2*Arg_0 {O(n^2)}

MPRF:

eval_perfect1_bb2_in [Arg_0+Arg_1 ]
eval_perfect1_bb5_in [Arg_1+Arg_2-1 ]
eval_perfect1_bb4_in [Arg_2 ]
eval_perfect1_bb3_in [Arg_1+Arg_2-1 ]

Analysing control-flow refined program

Cut unsatisfiable transition 7: eval_perfect1_bb3_in->eval_perfect1_bb5_in

Found invariant 2<=Arg_0 for location eval_perfect1_bb1_in

Found invariant Arg_3<=Arg_0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb2_in

Found invariant Arg_3<=Arg_0 && 1+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb5_in

Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb3_in

Found invariant Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_perfect1_bb3_in___2

Found invariant Arg_3<=Arg_0 && Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=Arg_1 && 2<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_perfect1_bb6_in

Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_perfect1_bb4_in___3

Found invariant Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_perfect1_bb4_in___1

knowledge_propagation leads to new time bound Arg_0+1 {O(n)} for transition 106:eval_perfect1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_perfect1_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && 1+Arg_1<=Arg_0 && Arg_3<=Arg_0 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_2

knowledge_propagation leads to new time bound Arg_0+1 {O(n)} for transition 108:n_eval_perfect1_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_perfect1_bb3_in___2(Arg_0,Arg_1,Arg_2-Arg_1,Arg_3):|:Arg_3<=Arg_2 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && 1+Arg_1<=Arg_0 && Arg_3<=Arg_0 && 1<=Arg_1 && Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_3<=Arg_0 && Arg_1<=Arg_2

MPRF for transition 105:n_eval_perfect1_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_perfect1_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && Arg_3<=Arg_0 && 1<=Arg_1 && 1<=Arg_1 && Arg_3<=Arg_0 && 0<=Arg_2 && Arg_1+Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_2 of depth 1:

new bound:

6*Arg_0*Arg_0+7*Arg_0 {O(n^2)}

MPRF:

eval_perfect1_bb3_in [Arg_2 ]
n_eval_perfect1_bb4_in___3 [Arg_0 ]
eval_perfect1_bb2_in [Arg_0 ]
eval_perfect1_bb5_in [Arg_0 ]
n_eval_perfect1_bb4_in___1 [Arg_0+Arg_1+Arg_2-1 ]
n_eval_perfect1_bb3_in___2 [Arg_0+Arg_1+Arg_2 ]

MPRF for transition 113:n_eval_perfect1_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_perfect1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<=Arg_0 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<Arg_1 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

eval_perfect1_bb3_in [Arg_1 ]
eval_perfect1_bb2_in [Arg_1 ]
eval_perfect1_bb5_in [Arg_1-1 ]
n_eval_perfect1_bb4_in___1 [Arg_1 ]
n_eval_perfect1_bb4_in___3 [Arg_1 ]
n_eval_perfect1_bb3_in___2 [Arg_1 ]

MPRF for transition 107:n_eval_perfect1_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_perfect1_bb3_in___2(Arg_0,Arg_1,Arg_2-Arg_1,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_3<=Arg_0 && Arg_1+Arg_2<=Arg_0 && Arg_1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_3<=Arg_0 && Arg_1<=Arg_2 of depth 1:

new bound:

5*Arg_0*Arg_0+6*Arg_0+1 {O(n^2)}

MPRF:

eval_perfect1_bb3_in [0 ]
n_eval_perfect1_bb4_in___3 [0 ]
eval_perfect1_bb2_in [0 ]
eval_perfect1_bb5_in [0 ]
n_eval_perfect1_bb4_in___1 [Arg_2 ]
n_eval_perfect1_bb3_in___2 [Arg_1+Arg_2-1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:12*Arg_0*Arg_0+13*Arg_0+11 {O(n^2)}
1: eval_perfect1_bb0_in->eval_perfect1_bb7_in: 1 {O(1)}
2: eval_perfect1_bb0_in->eval_perfect1_bb1_in: 1 {O(1)}
3: eval_perfect1_bb1_in->eval_perfect1_bb2_in: 1 {O(1)}
4: eval_perfect1_bb2_in->eval_perfect1_bb3_in: Arg_0+1 {O(n)}
5: eval_perfect1_bb2_in->eval_perfect1_bb6_in: 1 {O(1)}
6: eval_perfect1_bb3_in->eval_perfect1_bb4_in: 4*Arg_0*Arg_0+5*Arg_0+1 {O(n^2)}
7: eval_perfect1_bb3_in->eval_perfect1_bb5_in: Arg_0 {O(n)}
8: eval_perfect1_bb4_in->eval_perfect1_bb3_in: 8*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
9: eval_perfect1_bb5_in->eval_perfect1_bb2_in: 2*Arg_0 {O(n)}
10: eval_perfect1_bb5_in->eval_perfect1_bb2_in: Arg_0 {O(n)}
11: eval_perfect1_bb5_in->eval_perfect1_bb2_in: Arg_0 {O(n)}
12: eval_perfect1_bb6_in->eval_perfect1_bb7_in: 1 {O(1)}
13: eval_perfect1_bb6_in->eval_perfect1_bb7_in: 1 {O(1)}
14: eval_perfect1_bb6_in->eval_perfect1_bb7_in: 1 {O(1)}
15: eval_perfect1_bb7_in->eval_perfect1_stop: 1 {O(1)}
0: eval_perfect1_start->eval_perfect1_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 12*Arg_0*Arg_0+13*Arg_0+11 {O(n^2)}
1: eval_perfect1_bb0_in->eval_perfect1_bb7_in: 1 {O(1)}
2: eval_perfect1_bb0_in->eval_perfect1_bb1_in: 1 {O(1)}
3: eval_perfect1_bb1_in->eval_perfect1_bb2_in: 1 {O(1)}
4: eval_perfect1_bb2_in->eval_perfect1_bb3_in: Arg_0+1 {O(n)}
5: eval_perfect1_bb2_in->eval_perfect1_bb6_in: 1 {O(1)}
6: eval_perfect1_bb3_in->eval_perfect1_bb4_in: 4*Arg_0*Arg_0+5*Arg_0+1 {O(n^2)}
7: eval_perfect1_bb3_in->eval_perfect1_bb5_in: Arg_0 {O(n)}
8: eval_perfect1_bb4_in->eval_perfect1_bb3_in: 8*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
9: eval_perfect1_bb5_in->eval_perfect1_bb2_in: 2*Arg_0 {O(n)}
10: eval_perfect1_bb5_in->eval_perfect1_bb2_in: Arg_0 {O(n)}
11: eval_perfect1_bb5_in->eval_perfect1_bb2_in: Arg_0 {O(n)}
12: eval_perfect1_bb6_in->eval_perfect1_bb7_in: 1 {O(1)}
13: eval_perfect1_bb6_in->eval_perfect1_bb7_in: 1 {O(1)}
14: eval_perfect1_bb6_in->eval_perfect1_bb7_in: 1 {O(1)}
15: eval_perfect1_bb7_in->eval_perfect1_stop: 1 {O(1)}
0: eval_perfect1_start->eval_perfect1_bb0_in: 1 {O(1)}

Sizebounds

1: eval_perfect1_bb0_in->eval_perfect1_bb7_in, Arg_0: Arg_0 {O(n)}
1: eval_perfect1_bb0_in->eval_perfect1_bb7_in, Arg_1: Arg_1 {O(n)}
1: eval_perfect1_bb0_in->eval_perfect1_bb7_in, Arg_2: Arg_2 {O(n)}
1: eval_perfect1_bb0_in->eval_perfect1_bb7_in, Arg_3: Arg_3 {O(n)}
2: eval_perfect1_bb0_in->eval_perfect1_bb1_in, Arg_0: Arg_0 {O(n)}
2: eval_perfect1_bb0_in->eval_perfect1_bb1_in, Arg_1: Arg_1 {O(n)}
2: eval_perfect1_bb0_in->eval_perfect1_bb1_in, Arg_2: Arg_2 {O(n)}
2: eval_perfect1_bb0_in->eval_perfect1_bb1_in, Arg_3: Arg_3 {O(n)}
3: eval_perfect1_bb1_in->eval_perfect1_bb2_in, Arg_0: Arg_0 {O(n)}
3: eval_perfect1_bb1_in->eval_perfect1_bb2_in, Arg_1: Arg_0 {O(n)}
3: eval_perfect1_bb1_in->eval_perfect1_bb2_in, Arg_2: Arg_2 {O(n)}
3: eval_perfect1_bb1_in->eval_perfect1_bb2_in, Arg_3: Arg_0 {O(n)}
4: eval_perfect1_bb2_in->eval_perfect1_bb3_in, Arg_0: Arg_0 {O(n)}
4: eval_perfect1_bb2_in->eval_perfect1_bb3_in, Arg_1: Arg_0 {O(n)}
4: eval_perfect1_bb2_in->eval_perfect1_bb3_in, Arg_2: 4*Arg_0 {O(n)}
4: eval_perfect1_bb2_in->eval_perfect1_bb3_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
5: eval_perfect1_bb2_in->eval_perfect1_bb6_in, Arg_0: Arg_0 {O(n)}
5: eval_perfect1_bb2_in->eval_perfect1_bb6_in, Arg_1: 0 {O(1)}
5: eval_perfect1_bb2_in->eval_perfect1_bb6_in, Arg_2: 0 {O(1)}
5: eval_perfect1_bb2_in->eval_perfect1_bb6_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
6: eval_perfect1_bb3_in->eval_perfect1_bb4_in, Arg_0: Arg_0 {O(n)}
6: eval_perfect1_bb3_in->eval_perfect1_bb4_in, Arg_1: Arg_0 {O(n)}
6: eval_perfect1_bb3_in->eval_perfect1_bb4_in, Arg_2: 4*Arg_0 {O(n)}
6: eval_perfect1_bb3_in->eval_perfect1_bb4_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
7: eval_perfect1_bb3_in->eval_perfect1_bb5_in, Arg_0: Arg_0 {O(n)}
7: eval_perfect1_bb3_in->eval_perfect1_bb5_in, Arg_1: Arg_0 {O(n)}
7: eval_perfect1_bb3_in->eval_perfect1_bb5_in, Arg_2: 4*Arg_0 {O(n)}
7: eval_perfect1_bb3_in->eval_perfect1_bb5_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
8: eval_perfect1_bb4_in->eval_perfect1_bb3_in, Arg_0: Arg_0 {O(n)}
8: eval_perfect1_bb4_in->eval_perfect1_bb3_in, Arg_1: Arg_0 {O(n)}
8: eval_perfect1_bb4_in->eval_perfect1_bb3_in, Arg_2: 4*Arg_0 {O(n)}
8: eval_perfect1_bb4_in->eval_perfect1_bb3_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
9: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_0: Arg_0 {O(n)}
9: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_1: Arg_0 {O(n)}
9: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_2: 0 {O(1)}
9: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
10: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_0: Arg_0 {O(n)}
10: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_1: Arg_0 {O(n)}
10: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_2: 4*Arg_0 {O(n)}
10: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
11: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_0: Arg_0 {O(n)}
11: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_1: Arg_0 {O(n)}
11: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_2: 4*Arg_0 {O(n)}
11: eval_perfect1_bb5_in->eval_perfect1_bb2_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
12: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_0: Arg_0 {O(n)}
12: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_1: 0 {O(1)}
12: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_2: 0 {O(1)}
12: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
13: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_0: Arg_0 {O(n)}
13: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_1: 0 {O(1)}
13: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_2: 0 {O(1)}
13: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_3: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
14: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_0: Arg_0 {O(n)}
14: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_1: 0 {O(1)}
14: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_2: 0 {O(1)}
14: eval_perfect1_bb6_in->eval_perfect1_bb7_in, Arg_3: 0 {O(1)}
15: eval_perfect1_bb7_in->eval_perfect1_stop, Arg_0: 4*Arg_0 {O(n)}
15: eval_perfect1_bb7_in->eval_perfect1_stop, Arg_1: Arg_1 {O(n)}
15: eval_perfect1_bb7_in->eval_perfect1_stop, Arg_2: Arg_2 {O(n)}
15: eval_perfect1_bb7_in->eval_perfect1_stop, Arg_3: 4*Arg_0*Arg_0+4*Arg_0+Arg_3 {O(n^2)}
0: eval_perfect1_start->eval_perfect1_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_perfect1_start->eval_perfect1_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_perfect1_start->eval_perfect1_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_perfect1_start->eval_perfect1_bb0_in, Arg_3: Arg_3 {O(n)}