Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: n_eval_foo_bb0_in___7, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___5, n_eval_foo_bb3_in___4, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
0:n_eval_foo_bb0_in___7(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___6(Arg_2,Arg_1,Arg_2)
1:n_eval_foo_bb1_in___3(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2):|:0<=Arg_0 && 0<=Arg_0 && 0<=Arg_0
2:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb2_in___5(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
3:n_eval_foo_bb1_in___6(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb3_in___4(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<0
4:n_eval_foo_bb2_in___2(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___3(Arg_0+5,Arg_1,Arg_2):|:0<=Arg_0
5:n_eval_foo_bb2_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb1_in___3(Arg_0+5,Arg_1,Arg_2):|:0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0
6:n_eval_foo_bb3_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2):|:Arg_0<0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
7:n_eval_foo_start(Arg_0,Arg_1,Arg_2) -> n_eval_foo_bb0_in___7(Arg_0,Arg_1,Arg_2)

Preprocessing

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

Found invariant 5+Arg_2<=Arg_0 && 0<=Arg_2 && 5<=Arg_0+Arg_2 && 5<=Arg_0 for location n_eval_foo_bb2_in___2

Found invariant 5+Arg_2<=Arg_0 && 0<=Arg_2 && 5<=Arg_0+Arg_2 && 5<=Arg_0 for location n_eval_foo_bb1_in___3

Found invariant Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 for location n_eval_foo_bb2_in___5

Found invariant 1+Arg_2<=0 && Arg_2<=Arg_0 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 1+Arg_0<=0 for location n_eval_foo_stop___1

Found invariant Arg_2<=Arg_0 && Arg_0<=Arg_2 for location n_eval_foo_bb1_in___6

Found invariant 1+Arg_2<=0 && Arg_2<=Arg_0 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 1+Arg_0<=0 for location n_eval_foo_bb3_in___4

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_2
Temp_Vars:
Locations: n_eval_foo_bb0_in___7, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___6, n_eval_foo_bb2_in___2, n_eval_foo_bb2_in___5, n_eval_foo_bb3_in___4, n_eval_foo_start, n_eval_foo_stop___1
Transitions:
16:n_eval_foo_bb0_in___7(Arg_0,Arg_2) -> n_eval_foo_bb1_in___6(Arg_2,Arg_2)
17:n_eval_foo_bb1_in___3(Arg_0,Arg_2) -> n_eval_foo_bb2_in___2(Arg_0,Arg_2):|:5+Arg_2<=Arg_0 && 0<=Arg_2 && 5<=Arg_0+Arg_2 && 5<=Arg_0 && 0<=Arg_0 && 0<=Arg_0 && 0<=Arg_0
18:n_eval_foo_bb1_in___6(Arg_0,Arg_2) -> n_eval_foo_bb2_in___5(Arg_0,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && 0<=Arg_0
19:n_eval_foo_bb1_in___6(Arg_0,Arg_2) -> n_eval_foo_bb3_in___4(Arg_0,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0 && Arg_0<0
20:n_eval_foo_bb2_in___2(Arg_0,Arg_2) -> n_eval_foo_bb1_in___3(Arg_0+5,Arg_2):|:5+Arg_2<=Arg_0 && 0<=Arg_2 && 5<=Arg_0+Arg_2 && 5<=Arg_0 && 0<=Arg_0
21:n_eval_foo_bb2_in___5(Arg_0,Arg_2) -> n_eval_foo_bb1_in___3(Arg_0+5,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 0<=Arg_0 && 0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0
22:n_eval_foo_bb3_in___4(Arg_0,Arg_2) -> n_eval_foo_stop___1(Arg_0,Arg_2):|:1+Arg_2<=0 && Arg_2<=Arg_0 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 1+Arg_0<=0 && Arg_0<0 && Arg_0<=Arg_2 && Arg_2<=Arg_0
23:n_eval_foo_start(Arg_0,Arg_2) -> n_eval_foo_bb0_in___7(Arg_0,Arg_2)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
16: n_eval_foo_bb0_in___7->n_eval_foo_bb1_in___6: 1 {O(1)}
17: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2: inf {Infinity}
18: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: 1 {O(1)}
19: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4: 1 {O(1)}
20: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___3: inf {Infinity}
21: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___3: 1 {O(1)}
22: n_eval_foo_bb3_in___4->n_eval_foo_stop___1: 1 {O(1)}
23: n_eval_foo_start->n_eval_foo_bb0_in___7: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
16: n_eval_foo_bb0_in___7->n_eval_foo_bb1_in___6: 1 {O(1)}
17: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2: inf {Infinity}
18: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5: 1 {O(1)}
19: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4: 1 {O(1)}
20: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___3: inf {Infinity}
21: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___3: 1 {O(1)}
22: n_eval_foo_bb3_in___4->n_eval_foo_stop___1: 1 {O(1)}
23: n_eval_foo_start->n_eval_foo_bb0_in___7: 1 {O(1)}

Sizebounds

16: n_eval_foo_bb0_in___7->n_eval_foo_bb1_in___6, Arg_0: Arg_2 {O(n)}
16: n_eval_foo_bb0_in___7->n_eval_foo_bb1_in___6, Arg_2: Arg_2 {O(n)}
17: n_eval_foo_bb1_in___3->n_eval_foo_bb2_in___2, Arg_2: Arg_2 {O(n)}
18: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5, Arg_0: Arg_2 {O(n)}
18: n_eval_foo_bb1_in___6->n_eval_foo_bb2_in___5, Arg_2: Arg_2 {O(n)}
19: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4, Arg_0: Arg_2 {O(n)}
19: n_eval_foo_bb1_in___6->n_eval_foo_bb3_in___4, Arg_2: Arg_2 {O(n)}
20: n_eval_foo_bb2_in___2->n_eval_foo_bb1_in___3, Arg_2: Arg_2 {O(n)}
21: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___3, Arg_0: Arg_2+5 {O(n)}
21: n_eval_foo_bb2_in___5->n_eval_foo_bb1_in___3, Arg_2: Arg_2 {O(n)}
22: n_eval_foo_bb3_in___4->n_eval_foo_stop___1, Arg_0: Arg_2 {O(n)}
22: n_eval_foo_bb3_in___4->n_eval_foo_stop___1, Arg_2: Arg_2 {O(n)}
23: n_eval_foo_start->n_eval_foo_bb0_in___7, Arg_0: Arg_0 {O(n)}
23: n_eval_foo_start->n_eval_foo_bb0_in___7, Arg_2: Arg_2 {O(n)}