Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_foo_bb0_in___8, n_eval_foo_bb1_in___4, n_eval_foo_bb1_in___7, n_eval_foo_bb2_in___6, n_eval_foo_bb3_in___3, n_eval_foo_bb3_in___5, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
0:n_eval_foo_bb0_in___8(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___7(Arg_3,Arg_1,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0 && Arg_2<=Arg_0
2:n_eval_foo_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<Arg_2
3:n_eval_foo_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_2<=Arg_0
4:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___4(Arg_2+1,Arg_1,Arg_2,Arg_3):|:Arg_0<Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0
5:n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___2(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
6:n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_stop___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0
7:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___8(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

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

Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 for location n_eval_foo_bb1_in___7

Found invariant 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && Arg_0<=1+Arg_2 for location n_eval_foo_bb1_in___4

Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_0 for location n_eval_foo_bb3_in___5

Found invariant 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && Arg_0<=1+Arg_2 for location n_eval_foo_stop___2

Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_0 for location n_eval_foo_stop___1

Found invariant 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && Arg_0<=1+Arg_2 for location n_eval_foo_bb3_in___3

Found invariant 1+Arg_3<=Arg_2 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1+Arg_0<=Arg_2 for location n_eval_foo_bb2_in___6

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_2, Arg_3
Temp_Vars:
Locations: n_eval_foo_bb0_in___8, n_eval_foo_bb1_in___4, n_eval_foo_bb1_in___7, n_eval_foo_bb2_in___6, n_eval_foo_bb3_in___3, n_eval_foo_bb3_in___5, n_eval_foo_start, n_eval_foo_stop___1, n_eval_foo_stop___2
Transitions:
16:n_eval_foo_bb0_in___8(Arg_0,Arg_2,Arg_3) -> n_eval_foo_bb1_in___7(Arg_3,Arg_2,Arg_3)
17:n_eval_foo_bb1_in___4(Arg_0,Arg_2,Arg_3) -> n_eval_foo_bb3_in___3(Arg_0,Arg_2,Arg_3):|:1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && Arg_0<=1+Arg_2 && Arg_2<=Arg_0 && Arg_0<=1+Arg_2 && 1+Arg_2<=Arg_0 && Arg_2<=Arg_0
18:n_eval_foo_bb1_in___7(Arg_0,Arg_2,Arg_3) -> n_eval_foo_bb2_in___6(Arg_0,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_0<Arg_2
19:n_eval_foo_bb1_in___7(Arg_0,Arg_2,Arg_3) -> n_eval_foo_bb3_in___5(Arg_0,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_0<=Arg_3 && Arg_3<=Arg_0 && Arg_2<=Arg_0
20:n_eval_foo_bb2_in___6(Arg_0,Arg_2,Arg_3) -> n_eval_foo_bb1_in___4(Arg_2+1,Arg_2,Arg_3):|:1+Arg_3<=Arg_2 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1+Arg_0<=Arg_2 && Arg_0<Arg_2 && Arg_0<=Arg_3 && Arg_3<=Arg_0
21:n_eval_foo_bb3_in___3(Arg_0,Arg_2,Arg_3) -> n_eval_foo_stop___2(Arg_0,Arg_2,Arg_3):|:1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_0 && 1+Arg_2<=Arg_0 && Arg_0<=1+Arg_2 && Arg_0<=Arg_2+1 && 1+Arg_2<=Arg_0
22:n_eval_foo_bb3_in___5(Arg_0,Arg_2,Arg_3) -> n_eval_foo_stop___1(Arg_0,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_0 && Arg_2<=Arg_0 && Arg_0<=Arg_3 && Arg_3<=Arg_0
23:n_eval_foo_start(Arg_0,Arg_2,Arg_3) -> n_eval_foo_bb0_in___8(Arg_0,Arg_2,Arg_3)

All Bounds

Timebounds

Overall timebound:8 {O(1)}
16: n_eval_foo_bb0_in___8->n_eval_foo_bb1_in___7: 1 {O(1)}
17: n_eval_foo_bb1_in___4->n_eval_foo_bb3_in___3: 1 {O(1)}
18: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___6: 1 {O(1)}
19: n_eval_foo_bb1_in___7->n_eval_foo_bb3_in___5: 1 {O(1)}
20: n_eval_foo_bb2_in___6->n_eval_foo_bb1_in___4: 1 {O(1)}
21: n_eval_foo_bb3_in___3->n_eval_foo_stop___2: 1 {O(1)}
22: n_eval_foo_bb3_in___5->n_eval_foo_stop___1: 1 {O(1)}
23: n_eval_foo_start->n_eval_foo_bb0_in___8: 1 {O(1)}

Costbounds

Overall costbound: 8 {O(1)}
16: n_eval_foo_bb0_in___8->n_eval_foo_bb1_in___7: 1 {O(1)}
17: n_eval_foo_bb1_in___4->n_eval_foo_bb3_in___3: 1 {O(1)}
18: n_eval_foo_bb1_in___7->n_eval_foo_bb2_in___6: 1 {O(1)}
19: n_eval_foo_bb1_in___7->n_eval_foo_bb3_in___5: 1 {O(1)}
20: n_eval_foo_bb2_in___6->n_eval_foo_bb1_in___4: 1 {O(1)}
21: n_eval_foo_bb3_in___3->n_eval_foo_stop___2: 1 {O(1)}
22: n_eval_foo_bb3_in___5->n_eval_foo_stop___1: 1 {O(1)}
23: n_eval_foo_start->n_eval_foo_bb0_in___8: 1 {O(1)}

Sizebounds