Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___6, n_eval_foo_bb1_in___7, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___4, n_eval_foo_bb3_in___8, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___3
Transitions:
0:n_eval_foo_bb0_in___11(Arg_0,Arg_1) -> n_eval_foo_bb1_in___10(Arg_1,Arg_1)
1:n_eval_foo_bb1_in___10(Arg_0,Arg_1) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1):|:Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=10
2:n_eval_foo_bb1_in___10(Arg_0,Arg_1) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1):|:Arg_0<=Arg_1 && Arg_1<=Arg_0 && 10<Arg_0
3:n_eval_foo_bb1_in___6(Arg_0,Arg_1) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1):|:Arg_0<=10 && Arg_0<=6 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=10 && Arg_0<=6 && Arg_0<=10
4:n_eval_foo_bb1_in___7(Arg_0,Arg_1) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1):|:6<Arg_0 && Arg_0<=10
5:n_eval_foo_bb1_in___7(Arg_0,Arg_1) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1):|:6<Arg_0 && 10<Arg_0
6:n_eval_foo_bb2_in___2(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0,Arg_1):|:Arg_0<=6 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=6
7:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___7(Arg_0+2,Arg_1):|:Arg_0<=10 && 6<Arg_0 && 6<Arg_0
8:n_eval_foo_bb2_in___9(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0,Arg_1):|:Arg_0<=10 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=6
9:n_eval_foo_bb2_in___9(Arg_0,Arg_1) -> n_eval_foo_bb1_in___7(Arg_0+2,Arg_1):|:Arg_0<=10 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 6<Arg_0
10:n_eval_foo_bb3_in___4(Arg_0,Arg_1) -> n_eval_foo_stop___3(Arg_0,Arg_1):|:10<Arg_0
11:n_eval_foo_bb3_in___8(Arg_0,Arg_1) -> n_eval_foo_stop___1(Arg_0,Arg_1):|:10<Arg_0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
12:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___11(Arg_0,Arg_1)

Preprocessing

Found invariant Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 9<=Arg_0 for location n_eval_foo_bb1_in___7

Found invariant Arg_1<=6 && Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && Arg_0<=Arg_1 && Arg_0<=6 for location n_eval_foo_bb2_in___2

Found invariant Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_eval_foo_bb1_in___10

Found invariant Arg_1<=8 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=3+Arg_1 && Arg_0<=10 && 9<=Arg_0 for location n_eval_foo_bb2_in___5

Found invariant Arg_1<=Arg_0 && 11<=Arg_1 && 22<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 11<=Arg_0 for location n_eval_foo_stop___1

Found invariant Arg_1<=Arg_0 && 11<=Arg_1 && 22<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 11<=Arg_0 for location n_eval_foo_bb3_in___8

Found invariant Arg_1<=10 && Arg_1<=Arg_0 && Arg_0+Arg_1<=20 && Arg_0<=Arg_1 && Arg_0<=10 for location n_eval_foo_bb2_in___9

Found invariant Arg_1<=6 && Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && Arg_0<=Arg_1 && Arg_0<=6 for location n_eval_foo_bb1_in___6

Found invariant Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 18<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 11<=Arg_0 for location n_eval_foo_bb3_in___4

Found invariant Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 18<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 11<=Arg_0 for location n_eval_foo_stop___3

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___11, n_eval_foo_bb1_in___10, n_eval_foo_bb1_in___6, n_eval_foo_bb1_in___7, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___5, n_eval_foo_bb2_in___9, n_eval_foo_bb3_in___4, n_eval_foo_bb3_in___8, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___3
Transitions:
0:n_eval_foo_bb0_in___11(Arg_0,Arg_1) -> n_eval_foo_bb1_in___10(Arg_1,Arg_1)
1:n_eval_foo_bb1_in___10(Arg_0,Arg_1) -> n_eval_foo_bb2_in___9(Arg_0,Arg_1):|:Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=10
2:n_eval_foo_bb1_in___10(Arg_0,Arg_1) -> n_eval_foo_bb3_in___8(Arg_0,Arg_1):|:Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 10<Arg_0
3:n_eval_foo_bb1_in___6(Arg_0,Arg_1) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1):|:Arg_1<=6 && Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && Arg_0<=Arg_1 && Arg_0<=6 && Arg_0<=10 && Arg_0<=6 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=10 && Arg_0<=6 && Arg_0<=10
4:n_eval_foo_bb1_in___7(Arg_0,Arg_1) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1):|:Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 9<=Arg_0 && 6<Arg_0 && Arg_0<=10
5:n_eval_foo_bb1_in___7(Arg_0,Arg_1) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1):|:Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 9<=Arg_0 && 6<Arg_0 && 10<Arg_0
6:n_eval_foo_bb2_in___2(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0,Arg_1):|:Arg_1<=6 && Arg_1<=Arg_0 && Arg_0+Arg_1<=12 && Arg_0<=Arg_1 && Arg_0<=6 && Arg_0<=6 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=6
7:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___7(Arg_0+2,Arg_1):|:Arg_1<=8 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=3+Arg_1 && Arg_0<=10 && 9<=Arg_0 && Arg_0<=10 && 6<Arg_0 && 6<Arg_0
8:n_eval_foo_bb2_in___9(Arg_0,Arg_1) -> n_eval_foo_bb1_in___6(Arg_0,Arg_1):|:Arg_1<=10 && Arg_1<=Arg_0 && Arg_0+Arg_1<=20 && Arg_0<=Arg_1 && Arg_0<=10 && Arg_0<=10 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=6
9:n_eval_foo_bb2_in___9(Arg_0,Arg_1) -> n_eval_foo_bb1_in___7(Arg_0+2,Arg_1):|:Arg_1<=10 && Arg_1<=Arg_0 && Arg_0+Arg_1<=20 && Arg_0<=Arg_1 && Arg_0<=10 && Arg_0<=10 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 6<Arg_0
10:n_eval_foo_bb3_in___4(Arg_0,Arg_1) -> n_eval_foo_stop___3(Arg_0,Arg_1):|:Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 18<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 11<=Arg_0 && 10<Arg_0
11:n_eval_foo_bb3_in___8(Arg_0,Arg_1) -> n_eval_foo_stop___1(Arg_0,Arg_1):|:Arg_1<=Arg_0 && 11<=Arg_1 && 22<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 11<=Arg_0 && 10<Arg_0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
12:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___11(Arg_0,Arg_1)

knowledge_propagation leads to new time bound 1 {O(1)} for transition 4:n_eval_foo_bb1_in___7(Arg_0,Arg_1) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1):|:Arg_1<=10 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=22 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=12 && 9<=Arg_0 && 6<Arg_0 && Arg_0<=10

knowledge_propagation leads to new time bound 1 {O(1)} for transition 7:n_eval_foo_bb2_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___7(Arg_0+2,Arg_1):|:Arg_1<=8 && 2+Arg_1<=Arg_0 && Arg_0+Arg_1<=18 && 7<=Arg_1 && 16<=Arg_0+Arg_1 && Arg_0<=3+Arg_1 && Arg_0<=10 && 9<=Arg_0 && Arg_0<=10 && 6<Arg_0 && 6<Arg_0

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
1: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
2: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___8: 1 {O(1)}
3: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___2: inf {Infinity}
4: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___5: 1 {O(1)}
5: n_eval_foo_bb1_in___7->n_eval_foo_bb3_in___4: 1 {O(1)}
6: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6: inf {Infinity}
7: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___7: 1 {O(1)}
8: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___6: 1 {O(1)}
9: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___7: 1 {O(1)}
10: n_eval_foo_bb3_in___4->n_eval_foo_stop___3: 1 {O(1)}
11: n_eval_foo_bb3_in___8->n_eval_foo_stop___1: 1 {O(1)}
12: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
0: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10: 1 {O(1)}
1: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9: 1 {O(1)}
2: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___8: 1 {O(1)}
3: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___2: inf {Infinity}
4: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___5: 1 {O(1)}
5: n_eval_foo_bb1_in___7->n_eval_foo_bb3_in___4: 1 {O(1)}
6: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6: inf {Infinity}
7: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___7: 1 {O(1)}
8: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___6: 1 {O(1)}
9: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___7: 1 {O(1)}
10: n_eval_foo_bb3_in___4->n_eval_foo_stop___3: 1 {O(1)}
11: n_eval_foo_bb3_in___8->n_eval_foo_stop___1: 1 {O(1)}
12: n_eval_foo_start->n_eval_foo_bb0_in___11: 1 {O(1)}

Sizebounds

0: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_0: Arg_1 {O(n)}
0: n_eval_foo_bb0_in___11->n_eval_foo_bb1_in___10, Arg_1: Arg_1 {O(n)}
1: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9, Arg_0: Arg_1 {O(n)}
1: n_eval_foo_bb1_in___10->n_eval_foo_bb2_in___9, Arg_1: Arg_1 {O(n)}
2: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___8, Arg_0: Arg_1 {O(n)}
2: n_eval_foo_bb1_in___10->n_eval_foo_bb3_in___8, Arg_1: Arg_1 {O(n)}
3: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___2, Arg_0: Arg_1 {O(n)}
3: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___2, Arg_1: Arg_1 {O(n)}
4: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___5, Arg_0: 10 {O(1)}
4: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___5, Arg_1: 8 {O(1)}
5: n_eval_foo_bb1_in___7->n_eval_foo_bb3_in___4, Arg_0: 12 {O(1)}
5: n_eval_foo_bb1_in___7->n_eval_foo_bb3_in___4, Arg_1: 10 {O(1)}
6: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6, Arg_0: Arg_1 {O(n)}
6: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___6, Arg_1: Arg_1 {O(n)}
7: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___7, Arg_0: 12 {O(1)}
7: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___7, Arg_1: 8 {O(1)}
8: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___6, Arg_0: Arg_1 {O(n)}
8: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___6, Arg_1: Arg_1 {O(n)}
9: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___7, Arg_0: 12 {O(1)}
9: n_eval_foo_bb2_in___9->n_eval_foo_bb1_in___7, Arg_1: 10 {O(1)}
10: n_eval_foo_bb3_in___4->n_eval_foo_stop___3, Arg_0: 12 {O(1)}
10: n_eval_foo_bb3_in___4->n_eval_foo_stop___3, Arg_1: 10 {O(1)}
11: n_eval_foo_bb3_in___8->n_eval_foo_stop___1, Arg_0: Arg_1 {O(n)}
11: n_eval_foo_bb3_in___8->n_eval_foo_stop___1, Arg_1: Arg_1 {O(n)}
12: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_0: Arg_0 {O(n)}
12: n_eval_foo_start->n_eval_foo_bb0_in___11, Arg_1: Arg_1 {O(n)}