Initial Problem
Start: n_eval_ex_paper2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_ex_paper2_bb0_in___12, n_eval_ex_paper2_bb1_in___11, n_eval_ex_paper2_bb1_in___4, n_eval_ex_paper2_bb2_in___10, n_eval_ex_paper2_bb2_in___7, n_eval_ex_paper2_bb3_in___6, n_eval_ex_paper2_bb3_in___8, n_eval_ex_paper2_bb4_in___5, n_eval_ex_paper2_bb5_in___3, n_eval_ex_paper2_bb5_in___9, n_eval_ex_paper2_start, n_eval_ex_paper2_stop___1, n_eval_ex_paper2_stop___2
Transitions:
0:n_eval_ex_paper2_bb0_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb1_in___11(Arg_0,1,Arg_2)
1:n_eval_ex_paper2_bb1_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_1):|:Arg_1<=1 && 1<=Arg_1 && Arg_1<=Arg_0
2:n_eval_ex_paper2_bb1_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb5_in___9(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && 1<=Arg_1 && Arg_0<Arg_1
3:n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_1):|:Arg_1<=Arg_0
4:n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb5_in___3(Arg_0,Arg_1,Arg_2):|:Arg_0<Arg_1
5:n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_0 && Arg_2<=Arg_0 && Arg_2<=Arg_0
6:n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0
7:n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_0<Arg_2
8:n_eval_ex_paper2_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_0
9:n_eval_ex_paper2_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
10:n_eval_ex_paper2_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1+1,Arg_2):|:Arg_0<Arg_2
11:n_eval_ex_paper2_bb5_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_stop___2(Arg_0,Arg_1,Arg_2):|:Arg_0<Arg_1
12:n_eval_ex_paper2_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_0<1 && Arg_1<=1 && 1<=Arg_1
13:n_eval_ex_paper2_start(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb0_in___12(Arg_0,Arg_1,Arg_2)
Preprocessing
Found invariant Arg_2<=Arg_1 && Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_stop___2
Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_bb2_in___10
Found invariant Arg_1<=1 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_ex_paper2_stop___1
Found invariant Arg_2<=Arg_1 && Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_bb5_in___3
Found invariant Arg_1<=1 && 1<=Arg_1 for location n_eval_ex_paper2_bb1_in___11
Found invariant Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_bb1_in___4
Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_bb3_in___8
Found invariant Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_bb4_in___5
Found invariant Arg_1<=1 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 for location n_eval_ex_paper2_bb5_in___9
Found invariant Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_ex_paper2_bb3_in___6
Found invariant Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_ex_paper2_bb2_in___7
Problem after Preprocessing
Start: n_eval_ex_paper2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_ex_paper2_bb0_in___12, n_eval_ex_paper2_bb1_in___11, n_eval_ex_paper2_bb1_in___4, n_eval_ex_paper2_bb2_in___10, n_eval_ex_paper2_bb2_in___7, n_eval_ex_paper2_bb3_in___6, n_eval_ex_paper2_bb3_in___8, n_eval_ex_paper2_bb4_in___5, n_eval_ex_paper2_bb5_in___3, n_eval_ex_paper2_bb5_in___9, n_eval_ex_paper2_start, n_eval_ex_paper2_stop___1, n_eval_ex_paper2_stop___2
Transitions:
0:n_eval_ex_paper2_bb0_in___12(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb1_in___11(Arg_0,1,Arg_2)
1:n_eval_ex_paper2_bb1_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_1):|:Arg_1<=1 && 1<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && Arg_1<=Arg_0
2:n_eval_ex_paper2_bb1_in___11(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb5_in___9(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && 1<=Arg_1 && Arg_1<=1 && 1<=Arg_1 && Arg_0<Arg_1
3:n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_1):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0
4:n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb5_in___3(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_1
5:n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_0 && Arg_2<=Arg_0 && Arg_2<=Arg_0
6:n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0
7:n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_2
8:n_eval_ex_paper2_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=Arg_0
9:n_eval_ex_paper2_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1
10:n_eval_ex_paper2_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1+1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_2
11:n_eval_ex_paper2_bb5_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_stop___2(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<Arg_1
12:n_eval_ex_paper2_bb5_in___9(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_1<=1 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && Arg_0<1 && Arg_1<=1 && 1<=Arg_1
13:n_eval_ex_paper2_start(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb0_in___12(Arg_0,Arg_1,Arg_2)
MPRF for transition 3:n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_1):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 4<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 of depth 1:
new bound:
Arg_0+1 {O(n)}
MPRF:
n_eval_ex_paper2_bb2_in___10 [Arg_0-Arg_2 ]
n_eval_ex_paper2_bb3_in___6 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb3_in___8 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb2_in___7 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb4_in___5 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb1_in___4 [Arg_0+1-Arg_1 ]
MPRF for transition 5:n_eval_ex_paper2_bb2_in___10(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb3_in___8(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_1<=Arg_0 && Arg_2<=Arg_0 && Arg_2<=Arg_0 of depth 1:
new bound:
Arg_0+2 {O(n)}
MPRF:
n_eval_ex_paper2_bb2_in___10 [Arg_0+1-Arg_2 ]
n_eval_ex_paper2_bb3_in___6 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb3_in___8 [Arg_0-Arg_2 ]
n_eval_ex_paper2_bb2_in___7 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb4_in___5 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb1_in___4 [Arg_0+1-Arg_1 ]
MPRF for transition 7:n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb4_in___5(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_2 of depth 1:
new bound:
Arg_0+2 {O(n)}
MPRF:
n_eval_ex_paper2_bb2_in___10 [Arg_0+1-Arg_1 ]
n_eval_ex_paper2_bb3_in___6 [Arg_0+1-Arg_1 ]
n_eval_ex_paper2_bb3_in___8 [Arg_0+1-Arg_2 ]
n_eval_ex_paper2_bb2_in___7 [Arg_0+1-Arg_1 ]
n_eval_ex_paper2_bb4_in___5 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb1_in___4 [Arg_0+1-Arg_1 ]
MPRF for transition 9:n_eval_ex_paper2_bb3_in___8(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && Arg_2<=Arg_1 of depth 1:
new bound:
Arg_0+2 {O(n)}
MPRF:
n_eval_ex_paper2_bb2_in___10 [Arg_0+1-Arg_1 ]
n_eval_ex_paper2_bb3_in___6 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb3_in___8 [Arg_0+1-Arg_2 ]
n_eval_ex_paper2_bb2_in___7 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb4_in___5 [Arg_0-Arg_1 ]
n_eval_ex_paper2_bb1_in___4 [Arg_0+1-Arg_1 ]
MPRF for transition 10:n_eval_ex_paper2_bb4_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb1_in___4(Arg_0,Arg_1+1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_2 of depth 1:
new bound:
2*Arg_0+1 {O(n)}
MPRF:
n_eval_ex_paper2_bb2_in___10 [2*Arg_0-Arg_1 ]
n_eval_ex_paper2_bb3_in___6 [2*Arg_0-Arg_1 ]
n_eval_ex_paper2_bb3_in___8 [2*Arg_0-Arg_2 ]
n_eval_ex_paper2_bb2_in___7 [2*Arg_0-Arg_1 ]
n_eval_ex_paper2_bb4_in___5 [2*Arg_0-Arg_1 ]
n_eval_ex_paper2_bb1_in___4 [2*Arg_0-Arg_1 ]
MPRF for transition 6:n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb3_in___6(Arg_0,Arg_1,Arg_2):|:Arg_2<=1+Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_0 of depth 1:
new bound:
2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
MPRF:
n_eval_ex_paper2_bb1_in___4 [Arg_0 ]
n_eval_ex_paper2_bb2_in___10 [Arg_0 ]
n_eval_ex_paper2_bb4_in___5 [Arg_0-Arg_2 ]
n_eval_ex_paper2_bb3_in___6 [Arg_0-Arg_2 ]
n_eval_ex_paper2_bb3_in___8 [Arg_0 ]
n_eval_ex_paper2_bb2_in___7 [Arg_0+1-Arg_2 ]
MPRF for transition 8:n_eval_ex_paper2_bb3_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_ex_paper2_bb2_in___7(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_2<=Arg_0 of depth 1:
new bound:
2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
MPRF:
n_eval_ex_paper2_bb1_in___4 [Arg_0 ]
n_eval_ex_paper2_bb2_in___10 [Arg_0 ]
n_eval_ex_paper2_bb4_in___5 [Arg_0-Arg_2 ]
n_eval_ex_paper2_bb3_in___6 [Arg_0+1-Arg_2 ]
n_eval_ex_paper2_bb3_in___8 [Arg_0 ]
n_eval_ex_paper2_bb2_in___7 [Arg_0+1-Arg_2 ]
All Bounds
Timebounds
Overall timebound:4*Arg_0*Arg_0+10*Arg_0+15 {O(n^2)}
0: n_eval_ex_paper2_bb0_in___12->n_eval_ex_paper2_bb1_in___11: 1 {O(1)}
1: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb2_in___10: 1 {O(1)}
2: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb5_in___9: 1 {O(1)}
3: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb2_in___10: Arg_0+1 {O(n)}
4: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb5_in___3: 1 {O(1)}
5: n_eval_ex_paper2_bb2_in___10->n_eval_ex_paper2_bb3_in___8: Arg_0+2 {O(n)}
6: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb3_in___6: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
7: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb4_in___5: Arg_0+2 {O(n)}
8: n_eval_ex_paper2_bb3_in___6->n_eval_ex_paper2_bb2_in___7: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
9: n_eval_ex_paper2_bb3_in___8->n_eval_ex_paper2_bb2_in___7: Arg_0+2 {O(n)}
10: n_eval_ex_paper2_bb4_in___5->n_eval_ex_paper2_bb1_in___4: 2*Arg_0+1 {O(n)}
11: n_eval_ex_paper2_bb5_in___3->n_eval_ex_paper2_stop___2: 1 {O(1)}
12: n_eval_ex_paper2_bb5_in___9->n_eval_ex_paper2_stop___1: 1 {O(1)}
13: n_eval_ex_paper2_start->n_eval_ex_paper2_bb0_in___12: 1 {O(1)}
Costbounds
Overall costbound: 4*Arg_0*Arg_0+10*Arg_0+15 {O(n^2)}
0: n_eval_ex_paper2_bb0_in___12->n_eval_ex_paper2_bb1_in___11: 1 {O(1)}
1: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb2_in___10: 1 {O(1)}
2: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb5_in___9: 1 {O(1)}
3: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb2_in___10: Arg_0+1 {O(n)}
4: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb5_in___3: 1 {O(1)}
5: n_eval_ex_paper2_bb2_in___10->n_eval_ex_paper2_bb3_in___8: Arg_0+2 {O(n)}
6: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb3_in___6: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
7: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb4_in___5: Arg_0+2 {O(n)}
8: n_eval_ex_paper2_bb3_in___6->n_eval_ex_paper2_bb2_in___7: 2*Arg_0*Arg_0+2*Arg_0 {O(n^2)}
9: n_eval_ex_paper2_bb3_in___8->n_eval_ex_paper2_bb2_in___7: Arg_0+2 {O(n)}
10: n_eval_ex_paper2_bb4_in___5->n_eval_ex_paper2_bb1_in___4: 2*Arg_0+1 {O(n)}
11: n_eval_ex_paper2_bb5_in___3->n_eval_ex_paper2_stop___2: 1 {O(1)}
12: n_eval_ex_paper2_bb5_in___9->n_eval_ex_paper2_stop___1: 1 {O(1)}
13: n_eval_ex_paper2_start->n_eval_ex_paper2_bb0_in___12: 1 {O(1)}
Sizebounds
0: n_eval_ex_paper2_bb0_in___12->n_eval_ex_paper2_bb1_in___11, Arg_0: Arg_0 {O(n)}
0: n_eval_ex_paper2_bb0_in___12->n_eval_ex_paper2_bb1_in___11, Arg_1: 1 {O(1)}
0: n_eval_ex_paper2_bb0_in___12->n_eval_ex_paper2_bb1_in___11, Arg_2: Arg_2 {O(n)}
1: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb2_in___10, Arg_0: Arg_0 {O(n)}
1: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb2_in___10, Arg_1: 1 {O(1)}
1: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb2_in___10, Arg_2: 1 {O(1)}
2: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb5_in___9, Arg_0: Arg_0 {O(n)}
2: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb5_in___9, Arg_1: 1 {O(1)}
2: n_eval_ex_paper2_bb1_in___11->n_eval_ex_paper2_bb5_in___9, Arg_2: Arg_2 {O(n)}
3: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb2_in___10, Arg_0: Arg_0 {O(n)}
3: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb2_in___10, Arg_1: 2*Arg_0+2 {O(n)}
3: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb2_in___10, Arg_2: 2*Arg_0+2 {O(n)}
4: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb5_in___3, Arg_0: Arg_0 {O(n)}
4: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb5_in___3, Arg_1: 2*Arg_0+2 {O(n)}
4: n_eval_ex_paper2_bb1_in___4->n_eval_ex_paper2_bb5_in___3, Arg_2: 2*Arg_0*Arg_0+6*Arg_0+8 {O(n^2)}
5: n_eval_ex_paper2_bb2_in___10->n_eval_ex_paper2_bb3_in___8, Arg_0: Arg_0 {O(n)}
5: n_eval_ex_paper2_bb2_in___10->n_eval_ex_paper2_bb3_in___8, Arg_1: 2*Arg_0+2 {O(n)}
5: n_eval_ex_paper2_bb2_in___10->n_eval_ex_paper2_bb3_in___8, Arg_2: 2*Arg_0+3 {O(n)}
6: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb3_in___6, Arg_0: Arg_0 {O(n)}
6: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb3_in___6, Arg_1: 2*Arg_0+2 {O(n)}
6: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb3_in___6, Arg_2: 2*Arg_0*Arg_0+4*Arg_0+4 {O(n^2)}
7: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb4_in___5, Arg_0: Arg_0 {O(n)}
7: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb4_in___5, Arg_1: 2*Arg_0+2 {O(n)}
7: n_eval_ex_paper2_bb2_in___7->n_eval_ex_paper2_bb4_in___5, Arg_2: 2*Arg_0*Arg_0+6*Arg_0+8 {O(n^2)}
8: n_eval_ex_paper2_bb3_in___6->n_eval_ex_paper2_bb2_in___7, Arg_0: Arg_0 {O(n)}
8: n_eval_ex_paper2_bb3_in___6->n_eval_ex_paper2_bb2_in___7, Arg_1: 2*Arg_0+2 {O(n)}
8: n_eval_ex_paper2_bb3_in___6->n_eval_ex_paper2_bb2_in___7, Arg_2: 2*Arg_0*Arg_0+4*Arg_0+4 {O(n^2)}
9: n_eval_ex_paper2_bb3_in___8->n_eval_ex_paper2_bb2_in___7, Arg_0: Arg_0 {O(n)}
9: n_eval_ex_paper2_bb3_in___8->n_eval_ex_paper2_bb2_in___7, Arg_1: 2*Arg_0+2 {O(n)}
9: n_eval_ex_paper2_bb3_in___8->n_eval_ex_paper2_bb2_in___7, Arg_2: 2*Arg_0+4 {O(n)}
10: n_eval_ex_paper2_bb4_in___5->n_eval_ex_paper2_bb1_in___4, Arg_0: Arg_0 {O(n)}
10: n_eval_ex_paper2_bb4_in___5->n_eval_ex_paper2_bb1_in___4, Arg_1: 2*Arg_0+2 {O(n)}
10: n_eval_ex_paper2_bb4_in___5->n_eval_ex_paper2_bb1_in___4, Arg_2: 2*Arg_0*Arg_0+6*Arg_0+8 {O(n^2)}
11: n_eval_ex_paper2_bb5_in___3->n_eval_ex_paper2_stop___2, Arg_0: Arg_0 {O(n)}
11: n_eval_ex_paper2_bb5_in___3->n_eval_ex_paper2_stop___2, Arg_1: 2*Arg_0+2 {O(n)}
11: n_eval_ex_paper2_bb5_in___3->n_eval_ex_paper2_stop___2, Arg_2: 2*Arg_0*Arg_0+6*Arg_0+8 {O(n^2)}
12: n_eval_ex_paper2_bb5_in___9->n_eval_ex_paper2_stop___1, Arg_0: Arg_0 {O(n)}
12: n_eval_ex_paper2_bb5_in___9->n_eval_ex_paper2_stop___1, Arg_1: 1 {O(1)}
12: n_eval_ex_paper2_bb5_in___9->n_eval_ex_paper2_stop___1, Arg_2: Arg_2 {O(n)}
13: n_eval_ex_paper2_start->n_eval_ex_paper2_bb0_in___12, Arg_0: Arg_0 {O(n)}
13: n_eval_ex_paper2_start->n_eval_ex_paper2_bb0_in___12, Arg_1: Arg_1 {O(n)}
13: n_eval_ex_paper2_start->n_eval_ex_paper2_bb0_in___12, Arg_2: Arg_2 {O(n)}