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___5, n_eval_foo_bb1_in___2, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___1, n_eval_foo_bb2_in___3, n_eval_foo_start
Transitions:
0:n_eval_foo_bb0_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___4(0,100,Arg_2,Arg_3)
1:n_eval_foo_bb1_in___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<Arg_1
2:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<Arg_1 && Arg_1<=100 && 100<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1+Arg_0<=Arg_1 && Arg_0<Arg_1
3:n_eval_foo_bb2_in___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1+1,Arg_2,Arg_3):|:1+Arg_0<=Arg_1
4:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=0 && 0<=Arg_0 && Arg_1<=100 && 100<=Arg_1
5:n_eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb0_in___5(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem

Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___4

Found invariant Arg_1<=100+Arg_0 && 101<=Arg_1 && 102<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___2

Found invariant Arg_1<=100+Arg_0 && 101<=Arg_1 && 102<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___1

Found invariant Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___3

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___2, n_eval_foo_bb1_in___4, n_eval_foo_bb2_in___1, n_eval_foo_bb2_in___3, n_eval_foo_start
Transitions:
12:n_eval_foo_bb0_in___5(Arg_0,Arg_1) -> n_eval_foo_bb1_in___4(0,100)
13:n_eval_foo_bb1_in___2(Arg_0,Arg_1) -> n_eval_foo_bb2_in___1(Arg_0,Arg_1):|:Arg_1<=100+Arg_0 && 101<=Arg_1 && 102<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<Arg_1
14:n_eval_foo_bb1_in___4(Arg_0,Arg_1) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1):|:Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<Arg_1 && Arg_1<=100 && 100<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1+Arg_0<=Arg_1 && Arg_0<Arg_1
15:n_eval_foo_bb2_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1+1):|:Arg_1<=100+Arg_0 && 101<=Arg_1 && 102<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_1
16:n_eval_foo_bb2_in___3(Arg_0,Arg_1) -> n_eval_foo_bb1_in___2(Arg_0+1,Arg_1+1):|:Arg_1<=100 && Arg_1<=100+Arg_0 && Arg_0+Arg_1<=100 && 100<=Arg_1 && 100<=Arg_0+Arg_1 && 100+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=100 && 100<=Arg_1
17: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}
12: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4: 1 {O(1)}
13: n_eval_foo_bb1_in___2->n_eval_foo_bb2_in___1: inf {Infinity}
14: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: 1 {O(1)}
15: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___2: inf {Infinity}
16: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2: 1 {O(1)}
17: n_eval_foo_start->n_eval_foo_bb0_in___5: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
12: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4: 1 {O(1)}
13: n_eval_foo_bb1_in___2->n_eval_foo_bb2_in___1: inf {Infinity}
14: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3: 1 {O(1)}
15: n_eval_foo_bb2_in___1->n_eval_foo_bb1_in___2: inf {Infinity}
16: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2: 1 {O(1)}
17: n_eval_foo_start->n_eval_foo_bb0_in___5: 1 {O(1)}

Sizebounds

12: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4, Arg_0: 0 {O(1)}
12: n_eval_foo_bb0_in___5->n_eval_foo_bb1_in___4, Arg_1: 100 {O(1)}
14: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_0: 0 {O(1)}
14: n_eval_foo_bb1_in___4->n_eval_foo_bb2_in___3, Arg_1: 100 {O(1)}
16: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2, Arg_0: 1 {O(1)}
16: n_eval_foo_bb2_in___3->n_eval_foo_bb1_in___2, Arg_1: 101 {O(1)}
17: n_eval_foo_start->n_eval_foo_bb0_in___5, Arg_0: Arg_0 {O(n)}
17: n_eval_foo_start->n_eval_foo_bb0_in___5, Arg_1: Arg_1 {O(n)}