Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: NoDet0
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___8, n_eval_foo_bb3_in___4, n_eval_foo_bb3_in___7, n_eval_foo_bb3_in___9, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2, n_eval_foo_stop___3
Transitions:
0:n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___10(2,Arg_1,Arg_2,Arg_3):|:0<=Arg_2
1:n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<0
2:n_eval_foo_bb1_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___8(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=2 && 2<=Arg_0 && 0<=Arg_2 && Arg_0<Arg_2
3:n_eval_foo_bb1_in___10(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=2 && 2<=Arg_0 && 0<=Arg_2 && Arg_2<=Arg_0
4:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<Arg_2
5:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0
6:n_eval_foo_bb2_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(NoDet0,Arg_1,Arg_2,Arg_3):|:Arg_0<Arg_2
7:n_eval_foo_bb2_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___6(NoDet0,Arg_1,Arg_2,Arg_3):|:2<Arg_2 && Arg_0<=2 && 2<=Arg_0
8:n_eval_foo_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0
9:n_eval_foo_bb3_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=2 && 0<=Arg_2 && Arg_0<=2 && 2<=Arg_0
10:n_eval_foo_bb3_in___9(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<0
11:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___11(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Eliminate variables {Arg_1,Arg_3} that do not contribute to the problem

Found invariant 1+Arg_2<=0 for location n_eval_foo_bb3_in___9

Found invariant 3<=Arg_2 && 5<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=2 && 2<=Arg_0 for location n_eval_foo_bb2_in___8

Found invariant Arg_2<=2 && Arg_2<=Arg_0 && Arg_0+Arg_2<=4 && 0<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=2+Arg_2 && Arg_0<=2 && 2<=Arg_0 for location n_eval_foo_stop___2

Found invariant 0<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=2+Arg_2 && Arg_0<=2 && 2<=Arg_0 for location n_eval_foo_bb1_in___10

Found invariant 3<=Arg_2 && 1+Arg_0<=Arg_2 for location n_eval_foo_bb2_in___5

Found invariant 1+Arg_2<=0 for location n_eval_foo_stop___1

Found invariant Arg_2<=2 && Arg_2<=Arg_0 && Arg_0+Arg_2<=4 && 0<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=2+Arg_2 && Arg_0<=2 && 2<=Arg_0 for location n_eval_foo_bb3_in___7

Found invariant 3<=Arg_2 for location n_eval_foo_bb1_in___6

Found invariant Arg_2<=Arg_0 && 3<=Arg_2 && 6<=Arg_0+Arg_2 && 3<=Arg_0 for location n_eval_foo_bb3_in___4

Found invariant Arg_2<=Arg_0 && 3<=Arg_2 && 6<=Arg_0+Arg_2 && 3<=Arg_0 for location n_eval_foo_stop___3

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_2
Temp_Vars: NoDet0
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___8, n_eval_foo_bb3_in___4, n_eval_foo_bb3_in___7, n_eval_foo_bb3_in___9, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2, n_eval_foo_stop___3
Transitions:
24:n_eval_foo_bb0_in___11(Arg_0,Arg_2) -> n_eval_foo_bb1_in___10(2,Arg_2):|:0<=Arg_2
25:n_eval_foo_bb0_in___11(Arg_0,Arg_2) -> n_eval_foo_bb3_in___9(Arg_0,Arg_2):|:Arg_2<0
26:n_eval_foo_bb1_in___10(Arg_0,Arg_2) -> n_eval_foo_bb2_in___8(Arg_0,Arg_2):|:0<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=2+Arg_2 && Arg_0<=2 && 2<=Arg_0 && Arg_0<=2 && 2<=Arg_0 && 0<=Arg_2 && Arg_0<Arg_2
27:n_eval_foo_bb1_in___10(Arg_0,Arg_2) -> n_eval_foo_bb3_in___7(Arg_0,Arg_2):|:0<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=2+Arg_2 && Arg_0<=2 && 2<=Arg_0 && Arg_0<=2 && 2<=Arg_0 && 0<=Arg_2 && Arg_2<=Arg_0
28:n_eval_foo_bb1_in___6(Arg_0,Arg_2) -> n_eval_foo_bb2_in___5(Arg_0,Arg_2):|:3<=Arg_2 && Arg_0<Arg_2
29:n_eval_foo_bb1_in___6(Arg_0,Arg_2) -> n_eval_foo_bb3_in___4(Arg_0,Arg_2):|:3<=Arg_2 && Arg_2<=Arg_0
30:n_eval_foo_bb2_in___5(Arg_0,Arg_2) -> n_eval_foo_bb1_in___6(NoDet0,Arg_2):|:3<=Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<Arg_2
31:n_eval_foo_bb2_in___8(Arg_0,Arg_2) -> n_eval_foo_bb1_in___6(NoDet0,Arg_2):|:3<=Arg_2 && 5<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && Arg_0<=2 && 2<=Arg_0 && 2<Arg_2 && Arg_0<=2 && 2<=Arg_0
32:n_eval_foo_bb3_in___4(Arg_0,Arg_2) -> n_eval_foo_stop___3(Arg_0,Arg_2):|:Arg_2<=Arg_0 && 3<=Arg_2 && 6<=Arg_0+Arg_2 && 3<=Arg_0 && Arg_2<=Arg_0
33:n_eval_foo_bb3_in___7(Arg_0,Arg_2) -> n_eval_foo_stop___2(Arg_0,Arg_2):|:Arg_2<=2 && Arg_2<=Arg_0 && Arg_0+Arg_2<=4 && 0<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=2+Arg_2 && Arg_0<=2 && 2<=Arg_0 && Arg_2<=2 && 0<=Arg_2 && Arg_0<=2 && 2<=Arg_0
34:n_eval_foo_bb3_in___9(Arg_0,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_2):|:1+Arg_2<=0 && Arg_2<0
35:n_eval_foo_start(Arg_0,Arg_2) -> n_eval_foo_bb0_in___11(Arg_0,Arg_2)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
24: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
25: n_eval_foo_bb0_in___11->n_eval_foo_bb3_in___9: 1 {O(1)}
26: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___8: 1 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___7: 1 {O(1)}
28: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: inf {Infinity}
29: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4: 1 {O(1)}
30: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___6: inf {Infinity}
31: n_eval_foo_bb2_in___8->n_eval_foo_bb1_in___6: 1 {O(1)}
32: n_eval_foo_bb3_in___4->n_eval_foo_stop___3: 1 {O(1)}
33: n_eval_foo_bb3_in___7->n_eval_foo_stop___2: 1 {O(1)}
34: n_eval_foo_bb3_in___9->n_eval_foo_stop___1: 1 {O(1)}
35: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
24: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
25: n_eval_foo_bb0_in___11->n_eval_foo_bb3_in___9: 1 {O(1)}
26: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___8: 1 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___7: 1 {O(1)}
28: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: inf {Infinity}
29: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4: 1 {O(1)}
30: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___6: inf {Infinity}
31: n_eval_foo_bb2_in___8->n_eval_foo_bb1_in___6: 1 {O(1)}
32: n_eval_foo_bb3_in___4->n_eval_foo_stop___3: 1 {O(1)}
33: n_eval_foo_bb3_in___7->n_eval_foo_stop___2: 1 {O(1)}
34: n_eval_foo_bb3_in___9->n_eval_foo_stop___1: 1 {O(1)}
35: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}

Sizebounds

24: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_0: 2 {O(1)}
24: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_2: Arg_2 {O(n)}
25: n_eval_foo_bb0_in___11->n_eval_foo_bb3_in___9, Arg_0: Arg_0 {O(n)}
25: n_eval_foo_bb0_in___11->n_eval_foo_bb3_in___9, Arg_2: Arg_2 {O(n)}
26: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___8, Arg_0: 2 {O(1)}
26: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___8, Arg_2: Arg_2 {O(n)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___7, Arg_0: 2 {O(1)}
27: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___7, Arg_2: 2 {O(1)}
28: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5, Arg_2: Arg_2 {O(n)}
29: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4, Arg_2: 2*Arg_2 {O(n)}
30: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___6, Arg_2: Arg_2 {O(n)}
31: n_eval_foo_bb2_in___8->n_eval_foo_bb1_in___6, Arg_2: Arg_2 {O(n)}
32: n_eval_foo_bb3_in___4->n_eval_foo_stop___3, Arg_2: 2*Arg_2 {O(n)}
33: n_eval_foo_bb3_in___7->n_eval_foo_stop___2, Arg_0: 2 {O(1)}
33: n_eval_foo_bb3_in___7->n_eval_foo_stop___2, Arg_2: 2 {O(1)}
34: n_eval_foo_bb3_in___9->n_eval_foo_stop___1, Arg_0: Arg_0 {O(n)}
34: n_eval_foo_bb3_in___9->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
35: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_0: Arg_0 {O(n)}
35: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_2: Arg_2 {O(n)}