Initial Problem

Start: eval_aaron12_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_aaron12_0, eval_aaron12_1, eval_aaron12_bb0_in, eval_aaron12_bb1_in, eval_aaron12_bb2_in, eval_aaron12_bb3_in, eval_aaron12_bb4_in, eval_aaron12_bb5_in, eval_aaron12_start, eval_aaron12_stop
Transitions:
6:eval_aaron12_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6)
7:eval_aaron12_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_3
8:eval_aaron12_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0
1:eval_aaron12_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb1_in(Arg_4,Arg_5,Arg_6,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_aaron12_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_0
3:eval_aaron12_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<Arg_1
4:eval_aaron12_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
9:eval_aaron12_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb1_in(Arg_0+1,Arg_1+Arg_0+1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
10:eval_aaron12_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb1_in(Arg_0-Arg_2,Arg_1+Arg_2^2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6)
11:eval_aaron12_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_aaron12_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Found invariant Arg_2<=Arg_6 && 1<=Arg_3 && Arg_1<=Arg_0 for location eval_aaron12_bb3_in

Found invariant Arg_2<=Arg_6 && Arg_1<=Arg_0 for location eval_aaron12_0

Found invariant Arg_2<=Arg_6 && Arg_1<=Arg_0 for location eval_aaron12_bb2_in

Found invariant Arg_2<=Arg_6 for location eval_aaron12_bb1_in

Found invariant Arg_2<=Arg_6 && 1+Arg_0<=Arg_1 for location eval_aaron12_bb5_in

Found invariant Arg_2<=Arg_6 && 1+Arg_0<=Arg_1 for location eval_aaron12_stop

Found invariant Arg_2<=Arg_6 && Arg_3<=0 && Arg_1<=Arg_0 for location eval_aaron12_bb4_in

Found invariant Arg_2<=Arg_6 && Arg_1<=Arg_0 for location eval_aaron12_1

Problem after Preprocessing

Start: eval_aaron12_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_aaron12_0, eval_aaron12_1, eval_aaron12_bb0_in, eval_aaron12_bb1_in, eval_aaron12_bb2_in, eval_aaron12_bb3_in, eval_aaron12_bb4_in, eval_aaron12_bb5_in, eval_aaron12_start, eval_aaron12_stop
Transitions:
6:eval_aaron12_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_1<=Arg_0
7:eval_aaron12_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_1<=Arg_0 && 0<Arg_3
8:eval_aaron12_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_1<=Arg_0 && Arg_3<=0
1:eval_aaron12_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb1_in(Arg_4,Arg_5,Arg_6,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_aaron12_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_1<=Arg_0
3:eval_aaron12_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_0<Arg_1
4:eval_aaron12_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_1<=Arg_0
9:eval_aaron12_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb1_in(Arg_0+1,Arg_1+Arg_0+1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 1<=Arg_3 && Arg_1<=Arg_0
10:eval_aaron12_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb1_in(Arg_0-Arg_2,Arg_1+Arg_2^2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_3<=0 && Arg_1<=Arg_0
11:eval_aaron12_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 1+Arg_0<=Arg_1
0:eval_aaron12_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_aaron12_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
6: eval_aaron12_0->eval_aaron12_1: inf {Infinity}
7: eval_aaron12_1->eval_aaron12_bb3_in: inf {Infinity}
8: eval_aaron12_1->eval_aaron12_bb4_in: inf {Infinity}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in: 1 {O(1)}
2: eval_aaron12_bb1_in->eval_aaron12_bb2_in: inf {Infinity}
3: eval_aaron12_bb1_in->eval_aaron12_bb5_in: 1 {O(1)}
4: eval_aaron12_bb2_in->eval_aaron12_0: inf {Infinity}
9: eval_aaron12_bb3_in->eval_aaron12_bb1_in: inf {Infinity}
10: eval_aaron12_bb4_in->eval_aaron12_bb1_in: inf {Infinity}
11: eval_aaron12_bb5_in->eval_aaron12_stop: 1 {O(1)}
0: eval_aaron12_start->eval_aaron12_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
6: eval_aaron12_0->eval_aaron12_1: inf {Infinity}
7: eval_aaron12_1->eval_aaron12_bb3_in: inf {Infinity}
8: eval_aaron12_1->eval_aaron12_bb4_in: inf {Infinity}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in: 1 {O(1)}
2: eval_aaron12_bb1_in->eval_aaron12_bb2_in: inf {Infinity}
3: eval_aaron12_bb1_in->eval_aaron12_bb5_in: 1 {O(1)}
4: eval_aaron12_bb2_in->eval_aaron12_0: inf {Infinity}
9: eval_aaron12_bb3_in->eval_aaron12_bb1_in: inf {Infinity}
10: eval_aaron12_bb4_in->eval_aaron12_bb1_in: inf {Infinity}
11: eval_aaron12_bb5_in->eval_aaron12_stop: 1 {O(1)}
0: eval_aaron12_start->eval_aaron12_bb0_in: 1 {O(1)}

Sizebounds

6: eval_aaron12_0->eval_aaron12_1, Arg_4: Arg_4 {O(n)}
6: eval_aaron12_0->eval_aaron12_1, Arg_5: Arg_5 {O(n)}
6: eval_aaron12_0->eval_aaron12_1, Arg_6: Arg_6 {O(n)}
7: eval_aaron12_1->eval_aaron12_bb3_in, Arg_4: Arg_4 {O(n)}
7: eval_aaron12_1->eval_aaron12_bb3_in, Arg_5: Arg_5 {O(n)}
7: eval_aaron12_1->eval_aaron12_bb3_in, Arg_6: Arg_6 {O(n)}
8: eval_aaron12_1->eval_aaron12_bb4_in, Arg_4: Arg_4 {O(n)}
8: eval_aaron12_1->eval_aaron12_bb4_in, Arg_5: Arg_5 {O(n)}
8: eval_aaron12_1->eval_aaron12_bb4_in, Arg_6: Arg_6 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_0: Arg_4 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_1: Arg_5 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_2: Arg_6 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_5: Arg_5 {O(n)}
1: eval_aaron12_bb0_in->eval_aaron12_bb1_in, Arg_6: Arg_6 {O(n)}
2: eval_aaron12_bb1_in->eval_aaron12_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_aaron12_bb1_in->eval_aaron12_bb2_in, Arg_5: Arg_5 {O(n)}
2: eval_aaron12_bb1_in->eval_aaron12_bb2_in, Arg_6: Arg_6 {O(n)}
3: eval_aaron12_bb1_in->eval_aaron12_bb5_in, Arg_4: 3*Arg_4 {O(n)}
3: eval_aaron12_bb1_in->eval_aaron12_bb5_in, Arg_5: 3*Arg_5 {O(n)}
3: eval_aaron12_bb1_in->eval_aaron12_bb5_in, Arg_6: 3*Arg_6 {O(n)}
4: eval_aaron12_bb2_in->eval_aaron12_0, Arg_4: Arg_4 {O(n)}
4: eval_aaron12_bb2_in->eval_aaron12_0, Arg_5: Arg_5 {O(n)}
4: eval_aaron12_bb2_in->eval_aaron12_0, Arg_6: Arg_6 {O(n)}
9: eval_aaron12_bb3_in->eval_aaron12_bb1_in, Arg_4: Arg_4 {O(n)}
9: eval_aaron12_bb3_in->eval_aaron12_bb1_in, Arg_5: Arg_5 {O(n)}
9: eval_aaron12_bb3_in->eval_aaron12_bb1_in, Arg_6: Arg_6 {O(n)}
10: eval_aaron12_bb4_in->eval_aaron12_bb1_in, Arg_4: Arg_4 {O(n)}
10: eval_aaron12_bb4_in->eval_aaron12_bb1_in, Arg_5: Arg_5 {O(n)}
10: eval_aaron12_bb4_in->eval_aaron12_bb1_in, Arg_6: Arg_6 {O(n)}
11: eval_aaron12_bb5_in->eval_aaron12_stop, Arg_4: 3*Arg_4 {O(n)}
11: eval_aaron12_bb5_in->eval_aaron12_stop, Arg_5: 3*Arg_5 {O(n)}
11: eval_aaron12_bb5_in->eval_aaron12_stop, Arg_6: 3*Arg_6 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_aaron12_start->eval_aaron12_bb0_in, Arg_6: Arg_6 {O(n)}