Initial Problem

Start: n_eval_ax_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: n_eval_ax_bb0_in___15, n_eval_ax_bb1_in___14, n_eval_ax_bb1_in___4, n_eval_ax_bb1_in___7, n_eval_ax_bb2_in___10, n_eval_ax_bb2_in___13, n_eval_ax_bb2_in___2, n_eval_ax_bb3_in___12, n_eval_ax_bb3_in___9, n_eval_ax_bb4_in___11, n_eval_ax_bb4_in___8, n_eval_ax_bb5_in___3, n_eval_ax_bb5_in___6, n_eval_ax_start, n_eval_ax_stop___1, n_eval_ax_stop___5
Transitions:
0:n_eval_ax_bb0_in___15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb1_in___14(0,Arg_1,Arg_2,Arg_3,Arg_4)
1:n_eval_ax_bb1_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb2_in___13(Arg_0,0,Arg_2,Arg_3,Arg_4):|:Arg_0<=0 && 0<=Arg_0
2:n_eval_ax_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb2_in___2(Arg_0,0,Arg_2,Arg_3,Arg_4):|:Arg_4<=1
3:n_eval_ax_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb2_in___13(Arg_0,0,Arg_2,Arg_3,Arg_4)
4:n_eval_ax_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb3_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_1<Arg_4
5:n_eval_ax_bb2_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1+Arg_1
6:n_eval_ax_bb2_in___13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb3_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && 1+Arg_1<Arg_4
7:n_eval_ax_bb2_in___13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_4<=1+Arg_1
8:n_eval_ax_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1+Arg_1 && Arg_1<=0 && 0<=Arg_1 && Arg_4<=1+Arg_1 && Arg_4<=1+Arg_1
9:n_eval_ax_bb3_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb2_in___10(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:1<Arg_4 && Arg_1<=0 && 0<=Arg_1
10:n_eval_ax_bb3_in___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb2_in___10(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:1+Arg_1<Arg_4
11:n_eval_ax_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb1_in___4(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1 && Arg_1<=0 && 0<=Arg_1 && Arg_4<=1+Arg_1 && 2+Arg_0<Arg_4
12:n_eval_ax_bb4_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1 && Arg_1<=0 && 0<=Arg_1 && Arg_4<=2+Arg_0
13:n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb1_in___7(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1+Arg_1 && Arg_4<=1+Arg_1 && 2+Arg_0<Arg_4
14:n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0
15:n_eval_ax_bb5_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_stop___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=1 && Arg_4<=2+Arg_0 && Arg_1<=0 && 0<=Arg_1
16:n_eval_ax_bb5_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_stop___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=2+Arg_0 && Arg_4<=1+Arg_1
17:n_eval_ax_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_ax_bb0_in___15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem

Found invariant 1<=0 for location n_eval_ax_bb1_in___4

Found invariant 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb2_in___10

Found invariant Arg_4<=1 && Arg_4<=1+Arg_1 && Arg_1+Arg_4<=1 && Arg_4<=1+Arg_0 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb4_in___11

Found invariant Arg_4<=1+Arg_1 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb4_in___8

Found invariant 3<=Arg_4 && 4<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb3_in___9

Found invariant Arg_4<=1 && Arg_4<=1+Arg_1 && Arg_1+Arg_4<=1 && Arg_4<=1+Arg_0 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb5_in___3

Found invariant 1<=0 for location n_eval_ax_bb2_in___2

Found invariant Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_stop___5

Found invariant Arg_0<=0 && 0<=Arg_0 for location n_eval_ax_bb1_in___14

Found invariant Arg_4<=1+Arg_1 && 3<=Arg_4 && 5<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_ax_bb1_in___7

Found invariant 2<=Arg_4 && 2<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb3_in___12

Found invariant Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb2_in___13

Found invariant Arg_4<=1 && Arg_4<=1+Arg_1 && Arg_1+Arg_4<=1 && Arg_4<=1+Arg_0 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_stop___1

Found invariant Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_ax_bb5_in___6

Cut unsatisfiable transition 38: n_eval_ax_bb1_in___4->n_eval_ax_bb2_in___2

Cut unsatisfiable transition 44: n_eval_ax_bb2_in___2->n_eval_ax_bb4_in___11

Cut unsatisfiable transition 47: n_eval_ax_bb4_in___11->n_eval_ax_bb1_in___4

Cut unreachable locations [n_eval_ax_bb1_in___4; n_eval_ax_bb2_in___2] from the program graph

Problem after Preprocessing

Start: n_eval_ax_start
Program_Vars: Arg_0, Arg_1, Arg_4
Temp_Vars:
Locations: n_eval_ax_bb0_in___15, n_eval_ax_bb1_in___14, n_eval_ax_bb1_in___7, n_eval_ax_bb2_in___10, n_eval_ax_bb2_in___13, n_eval_ax_bb3_in___12, n_eval_ax_bb3_in___9, n_eval_ax_bb4_in___11, n_eval_ax_bb4_in___8, n_eval_ax_bb5_in___3, n_eval_ax_bb5_in___6, n_eval_ax_start, n_eval_ax_stop___1, n_eval_ax_stop___5
Transitions:
36:n_eval_ax_bb0_in___15(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb1_in___14(0,Arg_1,Arg_4)
37:n_eval_ax_bb1_in___14(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___13(Arg_0,0,Arg_4):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<=0 && 0<=Arg_0
39:n_eval_ax_bb1_in___7(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___13(Arg_0,0,Arg_4):|:Arg_4<=1+Arg_1 && 3<=Arg_4 && 5<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
40:n_eval_ax_bb2_in___10(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb3_in___9(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<Arg_4
41:n_eval_ax_bb2_in___10(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1
42:n_eval_ax_bb2_in___13(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb3_in___12(Arg_0,Arg_1,Arg_4):|:Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && 1+Arg_1<Arg_4
43:n_eval_ax_bb2_in___13(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb4_in___11(Arg_0,Arg_1,Arg_4):|:Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_4<=1+Arg_1
45:n_eval_ax_bb3_in___12(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___10(Arg_0,Arg_1+1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 1<Arg_4 && Arg_1<=0 && 0<=Arg_1
46:n_eval_ax_bb3_in___9(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___10(Arg_0,Arg_1+1,Arg_4):|:3<=Arg_4 && 4<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<Arg_4
48:n_eval_ax_bb4_in___11(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb5_in___3(Arg_0,Arg_1,Arg_4):|:Arg_4<=1 && Arg_4<=1+Arg_1 && Arg_1+Arg_4<=1 && Arg_4<=1+Arg_0 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1 && Arg_1<=0 && 0<=Arg_1 && Arg_4<=2+Arg_0
49:n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb1_in___7(Arg_0+1,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1 && Arg_4<=1+Arg_1 && 2+Arg_0<Arg_4
50:n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb5_in___6(Arg_0,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0
51:n_eval_ax_bb5_in___3(Arg_0,Arg_1,Arg_4) -> n_eval_ax_stop___1(Arg_0,Arg_1,Arg_4):|:Arg_4<=1 && Arg_4<=1+Arg_1 && Arg_1+Arg_4<=1 && Arg_4<=1+Arg_0 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1 && Arg_4<=2+Arg_0 && Arg_1<=0 && 0<=Arg_1
52:n_eval_ax_bb5_in___6(Arg_0,Arg_1,Arg_4) -> n_eval_ax_stop___5(Arg_0,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && Arg_4<=2+Arg_0 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=2+Arg_0 && Arg_4<=1+Arg_1
53:n_eval_ax_start(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb0_in___15(Arg_0,Arg_1,Arg_4)

MPRF for transition 39:n_eval_ax_bb1_in___7(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___13(Arg_0,0,Arg_4):|:Arg_4<=1+Arg_1 && 3<=Arg_4 && 5<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_4+2 {O(n)}

MPRF:

n_eval_ax_bb2_in___13 [Arg_4-Arg_0-2 ]
n_eval_ax_bb3_in___12 [Arg_4-Arg_0-2 ]
n_eval_ax_bb3_in___9 [Arg_4-Arg_0-2 ]
n_eval_ax_bb2_in___10 [Arg_4-Arg_0-2 ]
n_eval_ax_bb4_in___8 [Arg_4-Arg_0-2 ]
n_eval_ax_bb1_in___7 [Arg_4-Arg_0-1 ]

MPRF for transition 49:n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb1_in___7(Arg_0+1,Arg_1,Arg_4):|:Arg_4<=1+Arg_1 && 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1 && Arg_4<=1+Arg_1 && 2+Arg_0<Arg_4 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_ax_bb2_in___13 [Arg_4+1-Arg_0 ]
n_eval_ax_bb3_in___12 [Arg_4+1-Arg_0 ]
n_eval_ax_bb3_in___9 [Arg_4+1-Arg_0 ]
n_eval_ax_bb2_in___10 [Arg_4+1-Arg_0 ]
n_eval_ax_bb4_in___8 [Arg_4+1-Arg_0 ]
n_eval_ax_bb1_in___7 [Arg_4+1-Arg_0 ]

knowledge_propagation leads to new time bound Arg_4+3 {O(n)} for transition 42:n_eval_ax_bb2_in___13(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb3_in___12(Arg_0,Arg_1,Arg_4):|:Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && 1+Arg_1<Arg_4

knowledge_propagation leads to new time bound Arg_4+3 {O(n)} for transition 45:n_eval_ax_bb3_in___12(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___10(Arg_0,Arg_1+1,Arg_4):|:2<=Arg_4 && 2<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 1<Arg_4 && Arg_1<=0 && 0<=Arg_1

MPRF for transition 40:n_eval_ax_bb2_in___10(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb3_in___9(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<Arg_4 of depth 1:

new bound:

Arg_4*Arg_4+2*Arg_4 {O(n^2)}

MPRF:

n_eval_ax_bb1_in___7 [Arg_4 ]
n_eval_ax_bb4_in___8 [Arg_4-Arg_1-1 ]
n_eval_ax_bb2_in___13 [Arg_4 ]
n_eval_ax_bb3_in___12 [Arg_4 ]
n_eval_ax_bb3_in___9 [Arg_4-Arg_1-2 ]
n_eval_ax_bb2_in___10 [Arg_4-Arg_1-1 ]

MPRF for transition 41:n_eval_ax_bb2_in___10(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb4_in___8(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=1+Arg_1 of depth 1:

new bound:

Arg_4+2 {O(n)}

MPRF:

n_eval_ax_bb1_in___7 [1 ]
n_eval_ax_bb4_in___8 [Arg_1+1-Arg_4 ]
n_eval_ax_bb2_in___13 [1 ]
n_eval_ax_bb3_in___12 [1 ]
n_eval_ax_bb3_in___9 [1 ]
n_eval_ax_bb2_in___10 [1 ]

MPRF for transition 46:n_eval_ax_bb3_in___9(Arg_0,Arg_1,Arg_4) -> n_eval_ax_bb2_in___10(Arg_0,Arg_1+1,Arg_4):|:3<=Arg_4 && 4<=Arg_1+Arg_4 && 2+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_1<Arg_4 of depth 1:

new bound:

Arg_4*Arg_4+2*Arg_4 {O(n^2)}

MPRF:

n_eval_ax_bb1_in___7 [Arg_4 ]
n_eval_ax_bb4_in___8 [Arg_4-Arg_1-1 ]
n_eval_ax_bb2_in___13 [Arg_4 ]
n_eval_ax_bb3_in___12 [Arg_4 ]
n_eval_ax_bb3_in___9 [Arg_4-Arg_1-1 ]
n_eval_ax_bb2_in___10 [Arg_4-Arg_1-1 ]

All Bounds

Timebounds

Overall timebound:2*Arg_4*Arg_4+9*Arg_4+19 {O(n^2)}
36: n_eval_ax_bb0_in___15->n_eval_ax_bb1_in___14: 1 {O(1)}
37: n_eval_ax_bb1_in___14->n_eval_ax_bb2_in___13: 1 {O(1)}
39: n_eval_ax_bb1_in___7->n_eval_ax_bb2_in___13: Arg_4+2 {O(n)}
40: n_eval_ax_bb2_in___10->n_eval_ax_bb3_in___9: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
41: n_eval_ax_bb2_in___10->n_eval_ax_bb4_in___8: Arg_4+2 {O(n)}
42: n_eval_ax_bb2_in___13->n_eval_ax_bb3_in___12: Arg_4+3 {O(n)}
43: n_eval_ax_bb2_in___13->n_eval_ax_bb4_in___11: 1 {O(1)}
45: n_eval_ax_bb3_in___12->n_eval_ax_bb2_in___10: Arg_4+3 {O(n)}
46: n_eval_ax_bb3_in___9->n_eval_ax_bb2_in___10: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
48: n_eval_ax_bb4_in___11->n_eval_ax_bb5_in___3: 1 {O(1)}
49: n_eval_ax_bb4_in___8->n_eval_ax_bb1_in___7: Arg_4+1 {O(n)}
50: n_eval_ax_bb4_in___8->n_eval_ax_bb5_in___6: 1 {O(1)}
51: n_eval_ax_bb5_in___3->n_eval_ax_stop___1: 1 {O(1)}
52: n_eval_ax_bb5_in___6->n_eval_ax_stop___5: 1 {O(1)}
53: n_eval_ax_start->n_eval_ax_bb0_in___15: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_4*Arg_4+9*Arg_4+19 {O(n^2)}
36: n_eval_ax_bb0_in___15->n_eval_ax_bb1_in___14: 1 {O(1)}
37: n_eval_ax_bb1_in___14->n_eval_ax_bb2_in___13: 1 {O(1)}
39: n_eval_ax_bb1_in___7->n_eval_ax_bb2_in___13: Arg_4+2 {O(n)}
40: n_eval_ax_bb2_in___10->n_eval_ax_bb3_in___9: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
41: n_eval_ax_bb2_in___10->n_eval_ax_bb4_in___8: Arg_4+2 {O(n)}
42: n_eval_ax_bb2_in___13->n_eval_ax_bb3_in___12: Arg_4+3 {O(n)}
43: n_eval_ax_bb2_in___13->n_eval_ax_bb4_in___11: 1 {O(1)}
45: n_eval_ax_bb3_in___12->n_eval_ax_bb2_in___10: Arg_4+3 {O(n)}
46: n_eval_ax_bb3_in___9->n_eval_ax_bb2_in___10: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
48: n_eval_ax_bb4_in___11->n_eval_ax_bb5_in___3: 1 {O(1)}
49: n_eval_ax_bb4_in___8->n_eval_ax_bb1_in___7: Arg_4+1 {O(n)}
50: n_eval_ax_bb4_in___8->n_eval_ax_bb5_in___6: 1 {O(1)}
51: n_eval_ax_bb5_in___3->n_eval_ax_stop___1: 1 {O(1)}
52: n_eval_ax_bb5_in___6->n_eval_ax_stop___5: 1 {O(1)}
53: n_eval_ax_start->n_eval_ax_bb0_in___15: 1 {O(1)}

Sizebounds

36: n_eval_ax_bb0_in___15->n_eval_ax_bb1_in___14, Arg_0: 0 {O(1)}
36: n_eval_ax_bb0_in___15->n_eval_ax_bb1_in___14, Arg_1: Arg_1 {O(n)}
36: n_eval_ax_bb0_in___15->n_eval_ax_bb1_in___14, Arg_4: Arg_4 {O(n)}
37: n_eval_ax_bb1_in___14->n_eval_ax_bb2_in___13, Arg_0: 0 {O(1)}
37: n_eval_ax_bb1_in___14->n_eval_ax_bb2_in___13, Arg_1: 0 {O(1)}
37: n_eval_ax_bb1_in___14->n_eval_ax_bb2_in___13, Arg_4: Arg_4 {O(n)}
39: n_eval_ax_bb1_in___7->n_eval_ax_bb2_in___13, Arg_0: Arg_4+1 {O(n)}
39: n_eval_ax_bb1_in___7->n_eval_ax_bb2_in___13, Arg_1: 0 {O(1)}
39: n_eval_ax_bb1_in___7->n_eval_ax_bb2_in___13, Arg_4: Arg_4 {O(n)}
40: n_eval_ax_bb2_in___10->n_eval_ax_bb3_in___9, Arg_0: Arg_4+1 {O(n)}
40: n_eval_ax_bb2_in___10->n_eval_ax_bb3_in___9, Arg_1: Arg_4*Arg_4+2*Arg_4+1 {O(n^2)}
40: n_eval_ax_bb2_in___10->n_eval_ax_bb3_in___9, Arg_4: Arg_4 {O(n)}
41: n_eval_ax_bb2_in___10->n_eval_ax_bb4_in___8, Arg_0: Arg_4+1 {O(n)}
41: n_eval_ax_bb2_in___10->n_eval_ax_bb4_in___8, Arg_1: Arg_4*Arg_4+2*Arg_4+2 {O(n^2)}
41: n_eval_ax_bb2_in___10->n_eval_ax_bb4_in___8, Arg_4: Arg_4 {O(n)}
42: n_eval_ax_bb2_in___13->n_eval_ax_bb3_in___12, Arg_0: Arg_4+1 {O(n)}
42: n_eval_ax_bb2_in___13->n_eval_ax_bb3_in___12, Arg_1: 0 {O(1)}
42: n_eval_ax_bb2_in___13->n_eval_ax_bb3_in___12, Arg_4: Arg_4 {O(n)}
43: n_eval_ax_bb2_in___13->n_eval_ax_bb4_in___11, Arg_0: 0 {O(1)}
43: n_eval_ax_bb2_in___13->n_eval_ax_bb4_in___11, Arg_1: 0 {O(1)}
43: n_eval_ax_bb2_in___13->n_eval_ax_bb4_in___11, Arg_4: Arg_4 {O(n)}
45: n_eval_ax_bb3_in___12->n_eval_ax_bb2_in___10, Arg_0: Arg_4+1 {O(n)}
45: n_eval_ax_bb3_in___12->n_eval_ax_bb2_in___10, Arg_1: 1 {O(1)}
45: n_eval_ax_bb3_in___12->n_eval_ax_bb2_in___10, Arg_4: Arg_4 {O(n)}
46: n_eval_ax_bb3_in___9->n_eval_ax_bb2_in___10, Arg_0: Arg_4+1 {O(n)}
46: n_eval_ax_bb3_in___9->n_eval_ax_bb2_in___10, Arg_1: Arg_4*Arg_4+2*Arg_4+1 {O(n^2)}
46: n_eval_ax_bb3_in___9->n_eval_ax_bb2_in___10, Arg_4: Arg_4 {O(n)}
48: n_eval_ax_bb4_in___11->n_eval_ax_bb5_in___3, Arg_0: 0 {O(1)}
48: n_eval_ax_bb4_in___11->n_eval_ax_bb5_in___3, Arg_1: 0 {O(1)}
48: n_eval_ax_bb4_in___11->n_eval_ax_bb5_in___3, Arg_4: Arg_4 {O(n)}
49: n_eval_ax_bb4_in___8->n_eval_ax_bb1_in___7, Arg_0: Arg_4+1 {O(n)}
49: n_eval_ax_bb4_in___8->n_eval_ax_bb1_in___7, Arg_1: Arg_4*Arg_4+2*Arg_4+2 {O(n^2)}
49: n_eval_ax_bb4_in___8->n_eval_ax_bb1_in___7, Arg_4: Arg_4 {O(n)}
50: n_eval_ax_bb4_in___8->n_eval_ax_bb5_in___6, Arg_0: Arg_4+1 {O(n)}
50: n_eval_ax_bb4_in___8->n_eval_ax_bb5_in___6, Arg_1: Arg_4*Arg_4+2*Arg_4+2 {O(n^2)}
50: n_eval_ax_bb4_in___8->n_eval_ax_bb5_in___6, Arg_4: Arg_4 {O(n)}
51: n_eval_ax_bb5_in___3->n_eval_ax_stop___1, Arg_0: 0 {O(1)}
51: n_eval_ax_bb5_in___3->n_eval_ax_stop___1, Arg_1: 0 {O(1)}
51: n_eval_ax_bb5_in___3->n_eval_ax_stop___1, Arg_4: Arg_4 {O(n)}
52: n_eval_ax_bb5_in___6->n_eval_ax_stop___5, Arg_0: Arg_4+1 {O(n)}
52: n_eval_ax_bb5_in___6->n_eval_ax_stop___5, Arg_1: Arg_4*Arg_4+2*Arg_4+2 {O(n^2)}
52: n_eval_ax_bb5_in___6->n_eval_ax_stop___5, Arg_4: Arg_4 {O(n)}
53: n_eval_ax_start->n_eval_ax_bb0_in___15, Arg_0: Arg_0 {O(n)}
53: n_eval_ax_start->n_eval_ax_bb0_in___15, Arg_1: Arg_1 {O(n)}
53: n_eval_ax_start->n_eval_ax_bb0_in___15, Arg_4: Arg_4 {O(n)}