Initial Problem

Start: eval_ex3_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_ex3_0, eval_ex3_1, eval_ex3_2, eval_ex3_3, eval_ex3_4, eval_ex3_bb0_in, eval_ex3_bb1_in, eval_ex3_bb2_in, eval_ex3_bb3_in, eval_ex3_start, eval_ex3_stop
Transitions:
2:eval_ex3_0(Arg_0,Arg_1,Arg_2) -> eval_ex3_1(Arg_0,Arg_1,Arg_2)
3:eval_ex3_1(Arg_0,Arg_1,Arg_2) -> eval_ex3_2(Arg_0,Arg_1,Arg_2)
4:eval_ex3_2(Arg_0,Arg_1,Arg_2) -> eval_ex3_3(Arg_0,Arg_1,Arg_2)
5:eval_ex3_3(Arg_0,Arg_1,Arg_2) -> eval_ex3_4(Arg_0,Arg_1,Arg_2)
6:eval_ex3_4(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_2,Arg_1,Arg_2)
1:eval_ex3_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_0(Arg_0,Arg_1,Arg_2)
7:eval_ex3_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2):|:0<Arg_0 && Arg_0<255
8:eval_ex3_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=0
9:eval_ex3_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb3_in(Arg_0,Arg_1,Arg_2):|:255<=Arg_0
10:eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_0+1,Arg_1,Arg_2):|:Arg_1<0
11:eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_0+1,Arg_1,Arg_2):|:0<Arg_1
12:eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_0-1,Arg_1,Arg_2):|:Arg_1<=0 && 0<=Arg_1
13:eval_ex3_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_stop(Arg_0,Arg_1,Arg_2)
0:eval_ex3_start(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb0_in(Arg_0,Arg_1,Arg_2)

Preprocessing

Found invariant Arg_0<=254 && 1<=Arg_0 for location eval_ex3_bb2_in

Problem after Preprocessing

Start: eval_ex3_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_ex3_0, eval_ex3_1, eval_ex3_2, eval_ex3_3, eval_ex3_4, eval_ex3_bb0_in, eval_ex3_bb1_in, eval_ex3_bb2_in, eval_ex3_bb3_in, eval_ex3_start, eval_ex3_stop
Transitions:
2:eval_ex3_0(Arg_0,Arg_1,Arg_2) -> eval_ex3_1(Arg_0,Arg_1,Arg_2)
3:eval_ex3_1(Arg_0,Arg_1,Arg_2) -> eval_ex3_2(Arg_0,Arg_1,Arg_2)
4:eval_ex3_2(Arg_0,Arg_1,Arg_2) -> eval_ex3_3(Arg_0,Arg_1,Arg_2)
5:eval_ex3_3(Arg_0,Arg_1,Arg_2) -> eval_ex3_4(Arg_0,Arg_1,Arg_2)
6:eval_ex3_4(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_2,Arg_1,Arg_2)
1:eval_ex3_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_0(Arg_0,Arg_1,Arg_2)
7:eval_ex3_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2):|:0<Arg_0 && Arg_0<255
8:eval_ex3_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=0
9:eval_ex3_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb3_in(Arg_0,Arg_1,Arg_2):|:255<=Arg_0
10:eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_0+1,Arg_1,Arg_2):|:Arg_0<=254 && 1<=Arg_0 && Arg_1<0
11:eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_0+1,Arg_1,Arg_2):|:Arg_0<=254 && 1<=Arg_0 && 0<Arg_1
12:eval_ex3_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb1_in(Arg_0-1,Arg_1,Arg_2):|:Arg_0<=254 && 1<=Arg_0 && Arg_1<=0 && 0<=Arg_1
13:eval_ex3_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_ex3_stop(Arg_0,Arg_1,Arg_2)
0:eval_ex3_start(Arg_0,Arg_1,Arg_2) -> eval_ex3_bb0_in(Arg_0,Arg_1,Arg_2)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
2: eval_ex3_0->eval_ex3_1: 1 {O(1)}
3: eval_ex3_1->eval_ex3_2: 1 {O(1)}
4: eval_ex3_2->eval_ex3_3: 1 {O(1)}
5: eval_ex3_3->eval_ex3_4: 1 {O(1)}
6: eval_ex3_4->eval_ex3_bb1_in: 1 {O(1)}
1: eval_ex3_bb0_in->eval_ex3_0: 1 {O(1)}
7: eval_ex3_bb1_in->eval_ex3_bb2_in: inf {Infinity}
8: eval_ex3_bb1_in->eval_ex3_bb3_in: 1 {O(1)}
9: eval_ex3_bb1_in->eval_ex3_bb3_in: 1 {O(1)}
10: eval_ex3_bb2_in->eval_ex3_bb1_in: inf {Infinity}
11: eval_ex3_bb2_in->eval_ex3_bb1_in: inf {Infinity}
12: eval_ex3_bb2_in->eval_ex3_bb1_in: inf {Infinity}
13: eval_ex3_bb3_in->eval_ex3_stop: 1 {O(1)}
0: eval_ex3_start->eval_ex3_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
2: eval_ex3_0->eval_ex3_1: 1 {O(1)}
3: eval_ex3_1->eval_ex3_2: 1 {O(1)}
4: eval_ex3_2->eval_ex3_3: 1 {O(1)}
5: eval_ex3_3->eval_ex3_4: 1 {O(1)}
6: eval_ex3_4->eval_ex3_bb1_in: 1 {O(1)}
1: eval_ex3_bb0_in->eval_ex3_0: 1 {O(1)}
7: eval_ex3_bb1_in->eval_ex3_bb2_in: inf {Infinity}
8: eval_ex3_bb1_in->eval_ex3_bb3_in: 1 {O(1)}
9: eval_ex3_bb1_in->eval_ex3_bb3_in: 1 {O(1)}
10: eval_ex3_bb2_in->eval_ex3_bb1_in: inf {Infinity}
11: eval_ex3_bb2_in->eval_ex3_bb1_in: inf {Infinity}
12: eval_ex3_bb2_in->eval_ex3_bb1_in: inf {Infinity}
13: eval_ex3_bb3_in->eval_ex3_stop: 1 {O(1)}
0: eval_ex3_start->eval_ex3_bb0_in: 1 {O(1)}

Sizebounds

2: eval_ex3_0->eval_ex3_1, Arg_0: Arg_0 {O(n)}
2: eval_ex3_0->eval_ex3_1, Arg_1: Arg_1 {O(n)}
2: eval_ex3_0->eval_ex3_1, Arg_2: Arg_2 {O(n)}
3: eval_ex3_1->eval_ex3_2, Arg_0: Arg_0 {O(n)}
3: eval_ex3_1->eval_ex3_2, Arg_1: Arg_1 {O(n)}
3: eval_ex3_1->eval_ex3_2, Arg_2: Arg_2 {O(n)}
4: eval_ex3_2->eval_ex3_3, Arg_0: Arg_0 {O(n)}
4: eval_ex3_2->eval_ex3_3, Arg_1: Arg_1 {O(n)}
4: eval_ex3_2->eval_ex3_3, Arg_2: Arg_2 {O(n)}
5: eval_ex3_3->eval_ex3_4, Arg_0: Arg_0 {O(n)}
5: eval_ex3_3->eval_ex3_4, Arg_1: Arg_1 {O(n)}
5: eval_ex3_3->eval_ex3_4, Arg_2: Arg_2 {O(n)}
6: eval_ex3_4->eval_ex3_bb1_in, Arg_0: Arg_2 {O(n)}
6: eval_ex3_4->eval_ex3_bb1_in, Arg_1: Arg_1 {O(n)}
6: eval_ex3_4->eval_ex3_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_ex3_bb0_in->eval_ex3_0, Arg_0: Arg_0 {O(n)}
1: eval_ex3_bb0_in->eval_ex3_0, Arg_1: Arg_1 {O(n)}
1: eval_ex3_bb0_in->eval_ex3_0, Arg_2: Arg_2 {O(n)}
7: eval_ex3_bb1_in->eval_ex3_bb2_in, Arg_0: 254 {O(1)}
7: eval_ex3_bb1_in->eval_ex3_bb2_in, Arg_1: Arg_1 {O(n)}
7: eval_ex3_bb1_in->eval_ex3_bb2_in, Arg_2: Arg_2 {O(n)}
8: eval_ex3_bb1_in->eval_ex3_bb3_in, Arg_0: Arg_2+253 {O(n)}
8: eval_ex3_bb1_in->eval_ex3_bb3_in, Arg_1: Arg_1 {O(n)}
8: eval_ex3_bb1_in->eval_ex3_bb3_in, Arg_2: 2*Arg_2 {O(n)}
9: eval_ex3_bb1_in->eval_ex3_bb3_in, Arg_0: Arg_2+510 {O(n)}
9: eval_ex3_bb1_in->eval_ex3_bb3_in, Arg_1: 3*Arg_1 {O(n)}
9: eval_ex3_bb1_in->eval_ex3_bb3_in, Arg_2: 3*Arg_2 {O(n)}
10: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_0: 255 {O(1)}
10: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_1: Arg_1 {O(n)}
10: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_2: Arg_2 {O(n)}
11: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_0: 255 {O(1)}
11: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_1: Arg_1 {O(n)}
11: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_2: Arg_2 {O(n)}
12: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_0: 253 {O(1)}
12: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_1: 0 {O(1)}
12: eval_ex3_bb2_in->eval_ex3_bb1_in, Arg_2: Arg_2 {O(n)}
13: eval_ex3_bb3_in->eval_ex3_stop, Arg_0: 2*Arg_2+763 {O(n)}
13: eval_ex3_bb3_in->eval_ex3_stop, Arg_1: 4*Arg_1 {O(n)}
13: eval_ex3_bb3_in->eval_ex3_stop, Arg_2: 5*Arg_2 {O(n)}
0: eval_ex3_start->eval_ex3_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_ex3_start->eval_ex3_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_ex3_start->eval_ex3_bb0_in, Arg_2: Arg_2 {O(n)}