Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_2, eval_foo_3, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
16:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
10:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_3(Arg_0,nondef.0,Arg_2,Arg_3,Arg_4)
13:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=0 && 0<=Arg_1
11:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<0
12:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_1
2:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<0
3:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<=Arg_2
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_2 && Arg_2<Arg_3
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_2+1,Arg_1,Arg_2,Arg_3,Arg_4)
7:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_2 && Arg_2<=Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<Arg_2
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<Arg_0
8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
14:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_3
15:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<Arg_0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

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

Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 for location eval_foo_2

Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 for location eval_foo_bb3_in

Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 for location eval_foo_3

Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 for location eval_foo_bb2_in

Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 0<=Arg_2 for location eval_foo_bb1_in

Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: nondef.0
Locations: eval_foo_.critedge_in, eval_foo_2, eval_foo_3, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
33:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
34:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_3(Arg_0,nondef.0,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2
37:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_1<=0 && 0<=Arg_1
35:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_1<0
36:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && 0<Arg_1
39:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<0
40:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2
38:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_2 && Arg_2<Arg_3
41:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_2+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 0<=Arg_2
44:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_0<=Arg_2 && Arg_2<=Arg_0
42:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_0<Arg_2
43:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_2<Arg_0
45:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2
46:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_0<=Arg_3
47:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(0,Arg_1,Arg_2,Arg_3):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && Arg_0<=1+Arg_3 && 0<=Arg_2 && Arg_3<Arg_0
48:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
33: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
34: eval_foo_2->eval_foo_3: inf {Infinity}
35: eval_foo_3->eval_foo_bb4_in: inf {Infinity}
36: eval_foo_3->eval_foo_bb4_in: inf {Infinity}
37: eval_foo_3->eval_foo_.critedge_in: 1 {O(1)}
38: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
39: eval_foo_bb0_in->eval_foo_.critedge_in: 1 {O(1)}
40: eval_foo_bb0_in->eval_foo_.critedge_in: 1 {O(1)}
41: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
42: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
43: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
44: eval_foo_bb2_in->eval_foo_.critedge_in: 1 {O(1)}
45: eval_foo_bb3_in->eval_foo_2: inf {Infinity}
46: eval_foo_bb4_in->eval_foo_bb2_in: inf {Infinity}
47: eval_foo_bb4_in->eval_foo_bb2_in: inf {Infinity}
48: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
33: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
34: eval_foo_2->eval_foo_3: inf {Infinity}
35: eval_foo_3->eval_foo_bb4_in: inf {Infinity}
36: eval_foo_3->eval_foo_bb4_in: inf {Infinity}
37: eval_foo_3->eval_foo_.critedge_in: 1 {O(1)}
38: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
39: eval_foo_bb0_in->eval_foo_.critedge_in: 1 {O(1)}
40: eval_foo_bb0_in->eval_foo_.critedge_in: 1 {O(1)}
41: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
42: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
43: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
44: eval_foo_bb2_in->eval_foo_.critedge_in: 1 {O(1)}
45: eval_foo_bb3_in->eval_foo_2: inf {Infinity}
46: eval_foo_bb4_in->eval_foo_bb2_in: inf {Infinity}
47: eval_foo_bb4_in->eval_foo_bb2_in: inf {Infinity}
48: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

33: eval_foo_.critedge_in->eval_foo_stop, Arg_2: 5*Arg_2 {O(n)}
33: eval_foo_.critedge_in->eval_foo_stop, Arg_3: 5*Arg_3 {O(n)}
34: eval_foo_2->eval_foo_3, Arg_2: Arg_2 {O(n)}
34: eval_foo_2->eval_foo_3, Arg_3: Arg_3 {O(n)}
35: eval_foo_3->eval_foo_bb4_in, Arg_2: Arg_2 {O(n)}
35: eval_foo_3->eval_foo_bb4_in, Arg_3: Arg_3 {O(n)}
36: eval_foo_3->eval_foo_bb4_in, Arg_2: Arg_2 {O(n)}
36: eval_foo_3->eval_foo_bb4_in, Arg_3: Arg_3 {O(n)}
37: eval_foo_3->eval_foo_.critedge_in, Arg_1: 0 {O(1)}
37: eval_foo_3->eval_foo_.critedge_in, Arg_2: Arg_2 {O(n)}
37: eval_foo_3->eval_foo_.critedge_in, Arg_3: Arg_3 {O(n)}
38: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_0 {O(n)}
38: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
38: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
38: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
39: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_0: Arg_0 {O(n)}
39: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_1: Arg_1 {O(n)}
39: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_2: Arg_2 {O(n)}
39: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_3: Arg_3 {O(n)}
40: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_0: Arg_0 {O(n)}
40: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_1: Arg_1 {O(n)}
40: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_2: Arg_2 {O(n)}
40: eval_foo_bb0_in->eval_foo_.critedge_in, Arg_3: Arg_3 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_2+1 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_1 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
42: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
42: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
43: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
43: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
44: eval_foo_bb2_in->eval_foo_.critedge_in, Arg_2: 2*Arg_2 {O(n)}
44: eval_foo_bb2_in->eval_foo_.critedge_in, Arg_3: 2*Arg_3 {O(n)}
45: eval_foo_bb3_in->eval_foo_2, Arg_2: Arg_2 {O(n)}
45: eval_foo_bb3_in->eval_foo_2, Arg_3: Arg_3 {O(n)}
46: eval_foo_bb4_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
46: eval_foo_bb4_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
47: eval_foo_bb4_in->eval_foo_bb2_in, Arg_0: 0 {O(1)}
47: eval_foo_bb4_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
47: eval_foo_bb4_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}