Initial Problem

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_3, eval_start_8, eval_start_9, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3)
3:eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3)
20:eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3)
21:eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3)
4:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_3(Arg_0,Arg_1,Arg_2,Arg_3)
5:eval_start_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_2
6:eval_start_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
17:eval_start_8(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_9(Arg_0,Arg_1,Arg_2,Arg_3)
18:eval_start_9(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3)
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3)
7:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_2,Arg_2,Arg_3):|:Arg_2<Arg_3
8:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2
9:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_1 && Arg_1<Arg_3
10:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
11:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_1
12:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=1 && 1<=Arg_0
13:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:Arg_0<1
14:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:1<Arg_0
15:eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3)
16:eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_8(Arg_0,Arg_1,Arg_2,Arg_3)
19:eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant Arg_2<=0 for location eval_start_10

Found invariant 1<=Arg_2 for location eval_start_bb1_in

Found invariant Arg_3<=Arg_2 && 1<=Arg_2 for location eval_start_9

Found invariant Arg_2<=0 for location eval_start_bb6_in

Found invariant Arg_3<=Arg_2 && 1<=Arg_2 for location eval_start_bb5_in

Found invariant Arg_2<=0 for location eval_start_11

Found invariant Arg_3<=Arg_2 && 1<=Arg_2 for location eval_start_8

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_start_bb2_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location eval_start_bb3_in

Found invariant 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_start_bb4_in

Problem after Preprocessing

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_3, eval_start_8, eval_start_9, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3)
3:eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3)
20:eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
21:eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
4:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_3(Arg_0,Arg_1,Arg_2,Arg_3)
5:eval_start_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<Arg_2
6:eval_start_3(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
17:eval_start_8(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_9(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 1<=Arg_2
18:eval_start_9(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 1<=Arg_2
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3)
7:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_2,Arg_2,Arg_3):|:1<=Arg_2 && Arg_2<Arg_3
8:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_2 && Arg_3<=Arg_2
9:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && 0<Arg_1 && Arg_1<Arg_3
10:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_1<=0
11:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_3<=Arg_1
12:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_1+1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<=1 && 1<=Arg_0
13:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_0<1
14:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb2_in(Arg_0,Arg_1-1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && 1<Arg_0
15:eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_1
16:eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_8(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 1<=Arg_2
19:eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0
0:eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
2: eval_start_0->eval_start_1: 1 {O(1)}
3: eval_start_1->eval_start_2: 1 {O(1)}
20: eval_start_10->eval_start_11: 1 {O(1)}
21: eval_start_11->eval_start_stop: 1 {O(1)}
4: eval_start_2->eval_start_3: 1 {O(1)}
5: eval_start_3->eval_start_bb1_in: 1 {O(1)}
6: eval_start_3->eval_start_bb6_in: 1 {O(1)}
17: eval_start_8->eval_start_9: 1 {O(1)}
18: eval_start_9->eval_start_stop: 1 {O(1)}
1: eval_start_bb0_in->eval_start_0: 1 {O(1)}
7: eval_start_bb1_in->eval_start_bb2_in: 1 {O(1)}
8: eval_start_bb1_in->eval_start_bb5_in: 1 {O(1)}
9: eval_start_bb2_in->eval_start_bb3_in: inf {Infinity}
10: eval_start_bb2_in->eval_start_bb4_in: 1 {O(1)}
11: eval_start_bb2_in->eval_start_bb4_in: 1 {O(1)}
12: eval_start_bb3_in->eval_start_bb2_in: inf {Infinity}
13: eval_start_bb3_in->eval_start_bb2_in: inf {Infinity}
14: eval_start_bb3_in->eval_start_bb2_in: inf {Infinity}
15: eval_start_bb4_in->eval_start_stop: 1 {O(1)}
16: eval_start_bb5_in->eval_start_8: 1 {O(1)}
19: eval_start_bb6_in->eval_start_10: 1 {O(1)}
0: eval_start_start->eval_start_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
2: eval_start_0->eval_start_1: 1 {O(1)}
3: eval_start_1->eval_start_2: 1 {O(1)}
20: eval_start_10->eval_start_11: 1 {O(1)}
21: eval_start_11->eval_start_stop: 1 {O(1)}
4: eval_start_2->eval_start_3: 1 {O(1)}
5: eval_start_3->eval_start_bb1_in: 1 {O(1)}
6: eval_start_3->eval_start_bb6_in: 1 {O(1)}
17: eval_start_8->eval_start_9: 1 {O(1)}
18: eval_start_9->eval_start_stop: 1 {O(1)}
1: eval_start_bb0_in->eval_start_0: 1 {O(1)}
7: eval_start_bb1_in->eval_start_bb2_in: 1 {O(1)}
8: eval_start_bb1_in->eval_start_bb5_in: 1 {O(1)}
9: eval_start_bb2_in->eval_start_bb3_in: inf {Infinity}
10: eval_start_bb2_in->eval_start_bb4_in: 1 {O(1)}
11: eval_start_bb2_in->eval_start_bb4_in: 1 {O(1)}
12: eval_start_bb3_in->eval_start_bb2_in: inf {Infinity}
13: eval_start_bb3_in->eval_start_bb2_in: inf {Infinity}
14: eval_start_bb3_in->eval_start_bb2_in: inf {Infinity}
15: eval_start_bb4_in->eval_start_stop: 1 {O(1)}
16: eval_start_bb5_in->eval_start_8: 1 {O(1)}
19: eval_start_bb6_in->eval_start_10: 1 {O(1)}
0: eval_start_start->eval_start_bb0_in: 1 {O(1)}

Sizebounds

2: eval_start_0->eval_start_1, Arg_0: Arg_0 {O(n)}
2: eval_start_0->eval_start_1, Arg_1: Arg_1 {O(n)}
2: eval_start_0->eval_start_1, Arg_2: Arg_2 {O(n)}
2: eval_start_0->eval_start_1, Arg_3: Arg_3 {O(n)}
3: eval_start_1->eval_start_2, Arg_0: Arg_0 {O(n)}
3: eval_start_1->eval_start_2, Arg_1: Arg_1 {O(n)}
3: eval_start_1->eval_start_2, Arg_2: Arg_2 {O(n)}
3: eval_start_1->eval_start_2, Arg_3: Arg_3 {O(n)}
20: eval_start_10->eval_start_11, Arg_0: Arg_0 {O(n)}
20: eval_start_10->eval_start_11, Arg_1: Arg_1 {O(n)}
20: eval_start_10->eval_start_11, Arg_2: Arg_2 {O(n)}
20: eval_start_10->eval_start_11, Arg_3: Arg_3 {O(n)}
21: eval_start_11->eval_start_stop, Arg_0: Arg_0 {O(n)}
21: eval_start_11->eval_start_stop, Arg_1: Arg_1 {O(n)}
21: eval_start_11->eval_start_stop, Arg_2: Arg_2 {O(n)}
21: eval_start_11->eval_start_stop, Arg_3: Arg_3 {O(n)}
4: eval_start_2->eval_start_3, Arg_0: Arg_0 {O(n)}
4: eval_start_2->eval_start_3, Arg_1: Arg_1 {O(n)}
4: eval_start_2->eval_start_3, Arg_2: Arg_2 {O(n)}
4: eval_start_2->eval_start_3, Arg_3: Arg_3 {O(n)}
5: eval_start_3->eval_start_bb1_in, Arg_0: Arg_0 {O(n)}
5: eval_start_3->eval_start_bb1_in, Arg_1: Arg_1 {O(n)}
5: eval_start_3->eval_start_bb1_in, Arg_2: Arg_2 {O(n)}
5: eval_start_3->eval_start_bb1_in, Arg_3: Arg_3 {O(n)}
6: eval_start_3->eval_start_bb6_in, Arg_0: Arg_0 {O(n)}
6: eval_start_3->eval_start_bb6_in, Arg_1: Arg_1 {O(n)}
6: eval_start_3->eval_start_bb6_in, Arg_2: Arg_2 {O(n)}
6: eval_start_3->eval_start_bb6_in, Arg_3: Arg_3 {O(n)}
17: eval_start_8->eval_start_9, Arg_0: Arg_0 {O(n)}
17: eval_start_8->eval_start_9, Arg_1: Arg_1 {O(n)}
17: eval_start_8->eval_start_9, Arg_2: Arg_2 {O(n)}
17: eval_start_8->eval_start_9, Arg_3: Arg_3 {O(n)}
18: eval_start_9->eval_start_stop, Arg_0: Arg_0 {O(n)}
18: eval_start_9->eval_start_stop, Arg_1: Arg_1 {O(n)}
18: eval_start_9->eval_start_stop, Arg_2: Arg_2 {O(n)}
18: eval_start_9->eval_start_stop, Arg_3: Arg_3 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_0: Arg_0 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_1: Arg_1 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_2: Arg_2 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_3: Arg_3 {O(n)}
7: eval_start_bb1_in->eval_start_bb2_in, Arg_0: Arg_0 {O(n)}
7: eval_start_bb1_in->eval_start_bb2_in, Arg_1: Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb2_in, Arg_2: Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb2_in, Arg_3: Arg_3 {O(n)}
8: eval_start_bb1_in->eval_start_bb5_in, Arg_0: Arg_0 {O(n)}
8: eval_start_bb1_in->eval_start_bb5_in, Arg_1: Arg_1 {O(n)}
8: eval_start_bb1_in->eval_start_bb5_in, Arg_2: Arg_2 {O(n)}
8: eval_start_bb1_in->eval_start_bb5_in, Arg_3: Arg_3 {O(n)}
9: eval_start_bb2_in->eval_start_bb3_in, Arg_0: Arg_0+1 {O(n)}
9: eval_start_bb2_in->eval_start_bb3_in, Arg_2: Arg_2 {O(n)}
9: eval_start_bb2_in->eval_start_bb3_in, Arg_3: Arg_3 {O(n)}
10: eval_start_bb2_in->eval_start_bb4_in, Arg_0: 2*Arg_0+2 {O(n)}
10: eval_start_bb2_in->eval_start_bb4_in, Arg_1: 0 {O(1)}
10: eval_start_bb2_in->eval_start_bb4_in, Arg_2: 2*Arg_2 {O(n)}
10: eval_start_bb2_in->eval_start_bb4_in, Arg_3: 2*Arg_3 {O(n)}
11: eval_start_bb2_in->eval_start_bb4_in, Arg_0: 1 {O(1)}
11: eval_start_bb2_in->eval_start_bb4_in, Arg_2: Arg_2 {O(n)}
11: eval_start_bb2_in->eval_start_bb4_in, Arg_3: Arg_3 {O(n)}
12: eval_start_bb3_in->eval_start_bb2_in, Arg_0: 1 {O(1)}
12: eval_start_bb3_in->eval_start_bb2_in, Arg_2: Arg_2 {O(n)}
12: eval_start_bb3_in->eval_start_bb2_in, Arg_3: Arg_3 {O(n)}
13: eval_start_bb3_in->eval_start_bb2_in, Arg_0: Arg_0+1 {O(n)}
13: eval_start_bb3_in->eval_start_bb2_in, Arg_2: Arg_2 {O(n)}
13: eval_start_bb3_in->eval_start_bb2_in, Arg_3: Arg_3 {O(n)}
14: eval_start_bb3_in->eval_start_bb2_in, Arg_0: Arg_0+1 {O(n)}
14: eval_start_bb3_in->eval_start_bb2_in, Arg_2: Arg_2 {O(n)}
14: eval_start_bb3_in->eval_start_bb2_in, Arg_3: Arg_3 {O(n)}
15: eval_start_bb4_in->eval_start_stop, Arg_0: 2*Arg_0+3 {O(n)}
15: eval_start_bb4_in->eval_start_stop, Arg_2: 3*Arg_2 {O(n)}
15: eval_start_bb4_in->eval_start_stop, Arg_3: 3*Arg_3 {O(n)}
16: eval_start_bb5_in->eval_start_8, Arg_0: Arg_0 {O(n)}
16: eval_start_bb5_in->eval_start_8, Arg_1: Arg_1 {O(n)}
16: eval_start_bb5_in->eval_start_8, Arg_2: Arg_2 {O(n)}
16: eval_start_bb5_in->eval_start_8, Arg_3: Arg_3 {O(n)}
19: eval_start_bb6_in->eval_start_10, Arg_0: Arg_0 {O(n)}
19: eval_start_bb6_in->eval_start_10, Arg_1: Arg_1 {O(n)}
19: eval_start_bb6_in->eval_start_10, Arg_2: Arg_2 {O(n)}
19: eval_start_bb6_in->eval_start_10, Arg_3: Arg_3 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_3: Arg_3 {O(n)}