Initial Problem

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___5, n_eval_foo_bb1_in___1, n_eval_foo_bb1_in___2, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___4, n_eval_foo_start
Transitions:
0:n_eval_foo_bb0_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___4(Arg_1,Arg_1)
1:n_eval_foo_bb1_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___1(Arg_0+1,Arg_1):|:0<Arg_0 && 1<=Arg_0 && 2<=Arg_0 && 0<Arg_0
2:n_eval_foo_bb1_in___2(Arg_0,Arg_1) -> n_eval_foo_bb1_in___1(Arg_0+1,Arg_1):|:0<Arg_0 && 1<=Arg_0 && 0<Arg_0
3:n_eval_foo_bb1_in___3(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1):|:Arg_0<=0 && Arg_0<=0 && 1+Arg_0<=0 && Arg_0<=0
4:n_eval_foo_bb1_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1):|:Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<Arg_0
5:n_eval_foo_bb1_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1):|:Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
6:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___5(Arg_0,Arg_1)

Preprocessing

Found invariant 2+Arg_1<=Arg_0 && 1<=Arg_1 && 4<=Arg_0+Arg_1 && 3<=Arg_0 for location n_eval_foo_bb1_in___1

Found invariant Arg_1<=0 && 1+Arg_0+Arg_1<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=0 for location n_eval_foo_bb1_in___3

Found invariant Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_eval_foo_bb1_in___4

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb1_in___2

Problem after Preprocessing

Start: n_eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_eval_foo_bb0_in___5, n_eval_foo_bb1_in___1, n_eval_foo_bb1_in___2, n_eval_foo_bb1_in___3, n_eval_foo_bb1_in___4, n_eval_foo_start
Transitions:
0:n_eval_foo_bb0_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___4(Arg_1,Arg_1)
1:n_eval_foo_bb1_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___1(Arg_0+1,Arg_1):|:2+Arg_1<=Arg_0 && 1<=Arg_1 && 4<=Arg_0+Arg_1 && 3<=Arg_0 && 0<Arg_0 && 1<=Arg_0 && 2<=Arg_0 && 0<Arg_0
2:n_eval_foo_bb1_in___2(Arg_0,Arg_1) -> n_eval_foo_bb1_in___1(Arg_0+1,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 2<=Arg_0 && 0<Arg_0 && 1<=Arg_0 && 0<Arg_0
3:n_eval_foo_bb1_in___3(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1):|:Arg_1<=0 && 1+Arg_0+Arg_1<=0 && 1+Arg_0<=Arg_1 && 1+Arg_0<=0 && Arg_0<=0 && Arg_0<=0 && 1+Arg_0<=0 && Arg_0<=0
4:n_eval_foo_bb1_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1):|:Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<Arg_0
5:n_eval_foo_bb1_in___4(Arg_0,Arg_1) -> n_eval_foo_bb1_in___3(Arg_0-1,Arg_1):|:Arg_1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_0<=0
6:n_eval_foo_start(Arg_0,Arg_1) -> n_eval_foo_bb0_in___5(Arg_0,Arg_1)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4: 1 {O(1)}
1: n_eval_foo_bb1_in___1->n_eval_foo_bb1_in___1: inf {Infinity}
2: n_eval_foo_bb1_in___2->n_eval_foo_bb1_in___1: 1 {O(1)}
3: n_eval_foo_bb1_in___3->n_eval_foo_bb1_in___3: inf {Infinity}
4: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___2: 1 {O(1)}
5: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___3: 1 {O(1)}
6: n_eval_foo_start->n_eval_foo_bb0_in___5: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
0: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4: 1 {O(1)}
1: n_eval_foo_bb1_in___1->n_eval_foo_bb1_in___1: inf {Infinity}
2: n_eval_foo_bb1_in___2->n_eval_foo_bb1_in___1: 1 {O(1)}
3: n_eval_foo_bb1_in___3->n_eval_foo_bb1_in___3: inf {Infinity}
4: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___2: 1 {O(1)}
5: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___3: 1 {O(1)}
6: n_eval_foo_start->n_eval_foo_bb0_in___5: 1 {O(1)}

Sizebounds

0: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4, Arg_0: Arg_1 {O(n)}
0: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4, Arg_1: Arg_1 {O(n)}
1: n_eval_foo_bb1_in___1->n_eval_foo_bb1_in___1, Arg_1: Arg_1 {O(n)}
2: n_eval_foo_bb1_in___2->n_eval_foo_bb1_in___1, Arg_0: Arg_1+2 {O(n)}
2: n_eval_foo_bb1_in___2->n_eval_foo_bb1_in___1, Arg_1: Arg_1 {O(n)}
3: n_eval_foo_bb1_in___3->n_eval_foo_bb1_in___3, Arg_1: Arg_1 {O(n)}
4: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___2, Arg_0: Arg_1+1 {O(n)}
4: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___2, Arg_1: Arg_1 {O(n)}
5: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___3, Arg_0: Arg_1+1 {O(n)}
5: n_eval_foo_bb1_in___4->n_eval_foo_bb1_in___3, Arg_1: Arg_1 {O(n)}
6: n_eval_foo_start->n_eval_foo_bb0_in___5, Arg_0: Arg_0 {O(n)}
6: n_eval_foo_start->n_eval_foo_bb0_in___5, Arg_1: Arg_1 {O(n)}