Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
7:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5,Arg_6)
8:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<0
9:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_2
10:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0 && 0<=Arg_2
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_5,Arg_6,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_0 && 0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<=0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
11:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0-1,Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
12:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1-2,Arg_0+1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
13:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Eliminate variables {Arg_3,Arg_4} that do not contribute to the problem

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_0

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb3_in

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb2_in

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_1

Found invariant Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
27:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,nondef.0,Arg_5,Arg_6):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
28:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<0
29:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_2
30:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=0 && 0<=Arg_2
31:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_5,Arg_6,Arg_2,Arg_5,Arg_6)
32:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:0<Arg_0 && 0<Arg_1
33:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:Arg_0<=0
34:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:Arg_1<=0
35:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
36:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0-1,Arg_0,Arg_2,Arg_5,Arg_6):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
37:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1-2,Arg_0+1,Arg_2,Arg_5,Arg_6):|:Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
38:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6)
39:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5,Arg_6)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
27: eval_foo_0->eval_foo_1: inf {Infinity}
28: eval_foo_1->eval_foo_bb3_in: inf {Infinity}
29: eval_foo_1->eval_foo_bb3_in: inf {Infinity}
30: eval_foo_1->eval_foo_bb4_in: inf {Infinity}
31: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
32: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
33: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
34: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
35: eval_foo_bb2_in->eval_foo_0: inf {Infinity}
36: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
37: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
38: eval_foo_bb5_in->eval_foo_stop: 1 {O(1)}
39: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
27: eval_foo_0->eval_foo_1: inf {Infinity}
28: eval_foo_1->eval_foo_bb3_in: inf {Infinity}
29: eval_foo_1->eval_foo_bb3_in: inf {Infinity}
30: eval_foo_1->eval_foo_bb4_in: inf {Infinity}
31: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
32: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
33: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
34: eval_foo_bb1_in->eval_foo_bb5_in: 1 {O(1)}
35: eval_foo_bb2_in->eval_foo_0: inf {Infinity}
36: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
37: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
38: eval_foo_bb5_in->eval_foo_stop: 1 {O(1)}
39: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

27: eval_foo_0->eval_foo_1, Arg_5: Arg_5 {O(n)}
27: eval_foo_0->eval_foo_1, Arg_6: Arg_6 {O(n)}
28: eval_foo_1->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
28: eval_foo_1->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
29: eval_foo_1->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
29: eval_foo_1->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
30: eval_foo_1->eval_foo_bb4_in, Arg_2: 0 {O(1)}
30: eval_foo_1->eval_foo_bb4_in, Arg_5: Arg_5 {O(n)}
30: eval_foo_1->eval_foo_bb4_in, Arg_6: Arg_6 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_5 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_6 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_6: Arg_6 {O(n)}
33: eval_foo_bb1_in->eval_foo_bb5_in, Arg_5: 3*Arg_5 {O(n)}
33: eval_foo_bb1_in->eval_foo_bb5_in, Arg_6: 3*Arg_6 {O(n)}
34: eval_foo_bb1_in->eval_foo_bb5_in, Arg_0: Arg_5 {O(n)}
34: eval_foo_bb1_in->eval_foo_bb5_in, Arg_1: Arg_6 {O(n)}
34: eval_foo_bb1_in->eval_foo_bb5_in, Arg_2: Arg_2 {O(n)}
34: eval_foo_bb1_in->eval_foo_bb5_in, Arg_5: Arg_5 {O(n)}
34: eval_foo_bb1_in->eval_foo_bb5_in, Arg_6: Arg_6 {O(n)}
35: eval_foo_bb2_in->eval_foo_0, Arg_5: Arg_5 {O(n)}
35: eval_foo_bb2_in->eval_foo_0, Arg_6: Arg_6 {O(n)}
36: eval_foo_bb3_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
36: eval_foo_bb3_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
37: eval_foo_bb4_in->eval_foo_bb1_in, Arg_2: 0 {O(1)}
37: eval_foo_bb4_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
37: eval_foo_bb4_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
38: eval_foo_bb5_in->eval_foo_stop, Arg_5: 4*Arg_5 {O(n)}
38: eval_foo_bb5_in->eval_foo_stop, Arg_6: 4*Arg_6 {O(n)}
39: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
39: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
39: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
39: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}
39: eval_foo_start->eval_foo_bb0_in, Arg_6: Arg_6 {O(n)}