Initial Problem

Start: eval_abc_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars:
Locations: eval_abc_0, eval_abc_1, eval_abc_11, eval_abc_12, eval_abc_2, eval_abc_3, eval_abc_4, eval_abc_5, eval_abc_6, eval_abc_7, eval_abc_bb0_in, eval_abc_bb1_in, eval_abc_bb2_in, eval_abc_bb3_in, eval_abc_bb4_in, eval_abc_bb5_in, eval_abc_start, eval_abc_stop
Transitions:
2:eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
3:eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
16:eval_abc_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
17:eval_abc_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_0,Arg_6)
4:eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
5:eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
6:eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
7:eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
8:eval_abc_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
9:eval_abc_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_6)
1:eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
10:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_3):|:Arg_5<=Arg_2
11:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<Arg_5
12:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_4
13:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<Arg_6
14:eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6+1)
15:eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_11(Arg_5+1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
18:eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_abc_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Found invariant 1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_5 && Arg_0<=1+Arg_5 && Arg_1<=Arg_2 && Arg_0<=1+Arg_2 && 1+Arg_1<=Arg_0 for location eval_abc_12

Found invariant Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 for location eval_abc_bb2_in

Found invariant 1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_5 && Arg_0<=1+Arg_5 && Arg_1<=Arg_2 && Arg_0<=1+Arg_2 && 1+Arg_1<=Arg_0 for location eval_abc_11

Found invariant 1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 for location eval_abc_bb4_in

Found invariant Arg_1<=Arg_5 for location eval_abc_bb1_in

Found invariant 1+Arg_2<=Arg_5 && Arg_1<=Arg_5 for location eval_abc_stop

Found invariant Arg_6<=Arg_4 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_3<=Arg_4 && Arg_1<=Arg_2 for location eval_abc_bb3_in

Found invariant 1+Arg_2<=Arg_5 && Arg_1<=Arg_5 for location eval_abc_bb5_in

Problem after Preprocessing

Start: eval_abc_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars:
Locations: eval_abc_0, eval_abc_1, eval_abc_11, eval_abc_12, eval_abc_2, eval_abc_3, eval_abc_4, eval_abc_5, eval_abc_6, eval_abc_7, eval_abc_bb0_in, eval_abc_bb1_in, eval_abc_bb2_in, eval_abc_bb3_in, eval_abc_bb4_in, eval_abc_bb5_in, eval_abc_start, eval_abc_stop
Transitions:
2:eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
3:eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
16:eval_abc_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_5 && Arg_0<=1+Arg_5 && Arg_1<=Arg_2 && Arg_0<=1+Arg_2 && 1+Arg_1<=Arg_0
17:eval_abc_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_0,Arg_6):|:1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_5 && Arg_0<=1+Arg_5 && Arg_1<=Arg_2 && Arg_0<=1+Arg_2 && 1+Arg_1<=Arg_0
4:eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
5:eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
6:eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
7:eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
8:eval_abc_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
9:eval_abc_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_6)
1:eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
10:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_3):|:Arg_1<=Arg_5 && Arg_5<=Arg_2
11:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<=Arg_5 && Arg_2<Arg_5
12:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 && Arg_6<=Arg_4
13:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 && Arg_4<Arg_6
14:eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6+1):|:Arg_6<=Arg_4 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_3<=Arg_4 && Arg_1<=Arg_2
15:eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_11(Arg_5+1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2
18:eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_2<=Arg_5 && Arg_1<=Arg_5
0:eval_abc_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

MPRF for transition 16:eval_abc_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_5 && Arg_0<=1+Arg_5 && Arg_1<=Arg_2 && Arg_0<=1+Arg_2 && 1+Arg_1<=Arg_0 of depth 1:

new bound:

Arg_1+Arg_2+1 {O(n)}

MPRF:

eval_abc_12 [Arg_2-Arg_5 ]
eval_abc_bb1_in [Arg_2+1-Arg_5 ]
eval_abc_bb3_in [Arg_2+1-Arg_5 ]
eval_abc_bb2_in [Arg_2+1-Arg_5 ]
eval_abc_bb4_in [Arg_2+1-Arg_5 ]
eval_abc_11 [Arg_2+1-Arg_5 ]

MPRF for transition 17:eval_abc_12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_0,Arg_6):|:1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && 1+Arg_5<=Arg_0 && Arg_1<=Arg_5 && Arg_0<=1+Arg_5 && Arg_1<=Arg_2 && Arg_0<=1+Arg_2 && 1+Arg_1<=Arg_0 of depth 1:

new bound:

Arg_1+Arg_2+1 {O(n)}

MPRF:

eval_abc_12 [Arg_2+1-Arg_5 ]
eval_abc_bb1_in [Arg_2+1-Arg_5 ]
eval_abc_bb3_in [Arg_2+1-Arg_5 ]
eval_abc_bb2_in [Arg_2+1-Arg_5 ]
eval_abc_bb4_in [Arg_2+1-Arg_5 ]
eval_abc_11 [Arg_2+1-Arg_5 ]

MPRF for transition 10:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_3):|:Arg_1<=Arg_5 && Arg_5<=Arg_2 of depth 1:

new bound:

Arg_1+Arg_2+1 {O(n)}

MPRF:

eval_abc_12 [Arg_2-Arg_5 ]
eval_abc_bb1_in [Arg_2+1-Arg_5 ]
eval_abc_bb3_in [Arg_2-Arg_5 ]
eval_abc_bb2_in [Arg_2-Arg_5 ]
eval_abc_bb4_in [Arg_2-Arg_5 ]
eval_abc_11 [Arg_2-Arg_5 ]

MPRF for transition 13:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 && Arg_4<Arg_6 of depth 1:

new bound:

Arg_1+Arg_2+1 {O(n)}

MPRF:

eval_abc_12 [Arg_2-Arg_5 ]
eval_abc_bb1_in [Arg_2+1-Arg_5 ]
eval_abc_bb3_in [Arg_2+1-Arg_5 ]
eval_abc_bb2_in [Arg_2+1-Arg_5 ]
eval_abc_bb4_in [Arg_2-Arg_5 ]
eval_abc_11 [Arg_2-Arg_5 ]

MPRF for transition 15:eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_11(Arg_5+1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_4<=Arg_6 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_1+Arg_2+1 {O(n)}

MPRF:

eval_abc_12 [Arg_2-Arg_5 ]
eval_abc_bb1_in [Arg_2+1-Arg_5 ]
eval_abc_bb3_in [Arg_2+1-Arg_5 ]
eval_abc_bb2_in [Arg_2+1-Arg_5 ]
eval_abc_bb4_in [Arg_2+1-Arg_5 ]
eval_abc_11 [Arg_2-Arg_5 ]

MPRF for transition 12:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_1<=Arg_2 && Arg_6<=Arg_4 of depth 1:

new bound:

Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_3+2*Arg_4+Arg_1+Arg_2+2 {O(n^2)}

MPRF:

eval_abc_11 [Arg_4+1-Arg_3 ]
eval_abc_12 [Arg_4+1-Arg_3 ]
eval_abc_bb1_in [Arg_4+1-Arg_3 ]
eval_abc_bb4_in [Arg_4-Arg_6 ]
eval_abc_bb3_in [Arg_4-Arg_6 ]
eval_abc_bb2_in [Arg_4+1-Arg_6 ]

MPRF for transition 14:eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6+1):|:Arg_6<=Arg_4 && Arg_3<=Arg_6 && Arg_5<=Arg_2 && Arg_1<=Arg_5 && Arg_3<=Arg_4 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_3+2*Arg_4+Arg_1+Arg_2+2 {O(n^2)}

MPRF:

eval_abc_11 [Arg_4+1-Arg_3 ]
eval_abc_12 [Arg_4+1-Arg_3 ]
eval_abc_bb1_in [Arg_4+1-Arg_3 ]
eval_abc_bb4_in [Arg_4-Arg_6 ]
eval_abc_bb3_in [Arg_4+1-Arg_6 ]
eval_abc_bb2_in [Arg_4+1-Arg_6 ]

All Bounds

Timebounds

Overall timebound:2*Arg_1*Arg_3+2*Arg_1*Arg_4+2*Arg_2*Arg_3+2*Arg_2*Arg_4+4*Arg_3+4*Arg_4+7*Arg_1+7*Arg_2+21 {O(n^2)}
2: eval_abc_0->eval_abc_1: 1 {O(1)}
3: eval_abc_1->eval_abc_2: 1 {O(1)}
16: eval_abc_11->eval_abc_12: Arg_1+Arg_2+1 {O(n)}
17: eval_abc_12->eval_abc_bb1_in: Arg_1+Arg_2+1 {O(n)}
4: eval_abc_2->eval_abc_3: 1 {O(1)}
5: eval_abc_3->eval_abc_4: 1 {O(1)}
6: eval_abc_4->eval_abc_5: 1 {O(1)}
7: eval_abc_5->eval_abc_6: 1 {O(1)}
8: eval_abc_6->eval_abc_7: 1 {O(1)}
9: eval_abc_7->eval_abc_bb1_in: 1 {O(1)}
1: eval_abc_bb0_in->eval_abc_0: 1 {O(1)}
10: eval_abc_bb1_in->eval_abc_bb2_in: Arg_1+Arg_2+1 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in: 1 {O(1)}
12: eval_abc_bb2_in->eval_abc_bb3_in: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_3+2*Arg_4+Arg_1+Arg_2+2 {O(n^2)}
13: eval_abc_bb2_in->eval_abc_bb4_in: Arg_1+Arg_2+1 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_3+2*Arg_4+Arg_1+Arg_2+2 {O(n^2)}
15: eval_abc_bb4_in->eval_abc_11: Arg_1+Arg_2+1 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop: 1 {O(1)}
0: eval_abc_start->eval_abc_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_1*Arg_3+2*Arg_1*Arg_4+2*Arg_2*Arg_3+2*Arg_2*Arg_4+4*Arg_3+4*Arg_4+7*Arg_1+7*Arg_2+21 {O(n^2)}
2: eval_abc_0->eval_abc_1: 1 {O(1)}
3: eval_abc_1->eval_abc_2: 1 {O(1)}
16: eval_abc_11->eval_abc_12: Arg_1+Arg_2+1 {O(n)}
17: eval_abc_12->eval_abc_bb1_in: Arg_1+Arg_2+1 {O(n)}
4: eval_abc_2->eval_abc_3: 1 {O(1)}
5: eval_abc_3->eval_abc_4: 1 {O(1)}
6: eval_abc_4->eval_abc_5: 1 {O(1)}
7: eval_abc_5->eval_abc_6: 1 {O(1)}
8: eval_abc_6->eval_abc_7: 1 {O(1)}
9: eval_abc_7->eval_abc_bb1_in: 1 {O(1)}
1: eval_abc_bb0_in->eval_abc_0: 1 {O(1)}
10: eval_abc_bb1_in->eval_abc_bb2_in: Arg_1+Arg_2+1 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in: 1 {O(1)}
12: eval_abc_bb2_in->eval_abc_bb3_in: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_3+2*Arg_4+Arg_1+Arg_2+2 {O(n^2)}
13: eval_abc_bb2_in->eval_abc_bb4_in: Arg_1+Arg_2+1 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_3+2*Arg_4+Arg_1+Arg_2+2 {O(n^2)}
15: eval_abc_bb4_in->eval_abc_11: Arg_1+Arg_2+1 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop: 1 {O(1)}
0: eval_abc_start->eval_abc_bb0_in: 1 {O(1)}

Sizebounds

2: eval_abc_0->eval_abc_1, Arg_0: Arg_0 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_1: Arg_1 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_2: Arg_2 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_3: Arg_3 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_4: Arg_4 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_5: Arg_5 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_6: Arg_6 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_0: Arg_0 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_1: Arg_1 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_2: Arg_2 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_3: Arg_3 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_4: Arg_4 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_5: Arg_5 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_6: Arg_6 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_0: 2*Arg_1+Arg_2+1 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_1: Arg_1 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_2: Arg_2 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_3: Arg_3 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_4: Arg_4 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
16: eval_abc_11->eval_abc_12, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+6*Arg_3+Arg_1+Arg_2+2 {O(n^2)}
17: eval_abc_12->eval_abc_bb1_in, Arg_0: 2*Arg_1+Arg_2+1 {O(n)}
17: eval_abc_12->eval_abc_bb1_in, Arg_1: Arg_1 {O(n)}
17: eval_abc_12->eval_abc_bb1_in, Arg_2: Arg_2 {O(n)}
17: eval_abc_12->eval_abc_bb1_in, Arg_3: Arg_3 {O(n)}
17: eval_abc_12->eval_abc_bb1_in, Arg_4: Arg_4 {O(n)}
17: eval_abc_12->eval_abc_bb1_in, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
17: eval_abc_12->eval_abc_bb1_in, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+6*Arg_3+Arg_1+Arg_2+2 {O(n^2)}
4: eval_abc_2->eval_abc_3, Arg_0: Arg_0 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_1: Arg_1 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_2: Arg_2 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_3: Arg_3 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_4: Arg_4 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_5: Arg_5 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_6: Arg_6 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_0: Arg_0 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_1: Arg_1 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_2: Arg_2 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_3: Arg_3 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_4: Arg_4 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_5: Arg_5 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_6: Arg_6 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_0: Arg_0 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_1: Arg_1 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_2: Arg_2 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_3: Arg_3 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_4: Arg_4 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_5: Arg_5 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_6: Arg_6 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_0: Arg_0 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_1: Arg_1 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_2: Arg_2 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_3: Arg_3 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_4: Arg_4 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_5: Arg_5 {O(n)}
7: eval_abc_5->eval_abc_6, Arg_6: Arg_6 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_0: Arg_0 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_1: Arg_1 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_2: Arg_2 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_3: Arg_3 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_4: Arg_4 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_5: Arg_5 {O(n)}
8: eval_abc_6->eval_abc_7, Arg_6: Arg_6 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_0: Arg_0 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_1: Arg_1 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_2: Arg_2 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_3: Arg_3 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_4: Arg_4 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_5: Arg_1 {O(n)}
9: eval_abc_7->eval_abc_bb1_in, Arg_6: Arg_6 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_0: Arg_0 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_1: Arg_1 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_2: Arg_2 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_3: Arg_3 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_4: Arg_4 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_5: Arg_5 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_6: Arg_6 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_0: 2*Arg_1+Arg_0+Arg_2+1 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_1: Arg_1 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_2: Arg_2 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_3: Arg_3 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_4: Arg_4 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
10: eval_abc_bb1_in->eval_abc_bb2_in, Arg_6: 2*Arg_3 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_0: 2*Arg_1+Arg_0+Arg_2+1 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_1: 2*Arg_1 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_2: 2*Arg_2 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_3: 2*Arg_3 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_4: 2*Arg_4 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_5: 3*Arg_1+Arg_2+1 {O(n)}
11: eval_abc_bb1_in->eval_abc_bb5_in, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+6*Arg_3+Arg_1+Arg_2+Arg_6+2 {O(n^2)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_0: 2*Arg_1+Arg_0+Arg_2+1 {O(n)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_1: Arg_1 {O(n)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_2: Arg_2 {O(n)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_3: Arg_3 {O(n)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_4: Arg_4 {O(n)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
12: eval_abc_bb2_in->eval_abc_bb3_in, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+4*Arg_3+Arg_1+Arg_2+2 {O(n^2)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_0: 2*Arg_0+2*Arg_2+4*Arg_1+2 {O(n)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_1: Arg_1 {O(n)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_2: Arg_2 {O(n)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_3: Arg_3 {O(n)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_4: Arg_4 {O(n)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
13: eval_abc_bb2_in->eval_abc_bb4_in, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+6*Arg_3+Arg_1+Arg_2+2 {O(n^2)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_0: 2*Arg_1+Arg_0+Arg_2+1 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_1: Arg_1 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_2: Arg_2 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_3: Arg_3 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_4: Arg_4 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
14: eval_abc_bb3_in->eval_abc_bb2_in, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+4*Arg_3+Arg_1+Arg_2+2 {O(n^2)}
15: eval_abc_bb4_in->eval_abc_11, Arg_0: 2*Arg_1+Arg_2+1 {O(n)}
15: eval_abc_bb4_in->eval_abc_11, Arg_1: Arg_1 {O(n)}
15: eval_abc_bb4_in->eval_abc_11, Arg_2: Arg_2 {O(n)}
15: eval_abc_bb4_in->eval_abc_11, Arg_3: Arg_3 {O(n)}
15: eval_abc_bb4_in->eval_abc_11, Arg_4: Arg_4 {O(n)}
15: eval_abc_bb4_in->eval_abc_11, Arg_5: 2*Arg_1+Arg_2+1 {O(n)}
15: eval_abc_bb4_in->eval_abc_11, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+6*Arg_3+Arg_1+Arg_2+2 {O(n^2)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_0: 2*Arg_1+Arg_0+Arg_2+1 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_1: 2*Arg_1 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_2: 2*Arg_2 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_3: 2*Arg_3 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_4: 2*Arg_4 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_5: 3*Arg_1+Arg_2+1 {O(n)}
18: eval_abc_bb5_in->eval_abc_stop, Arg_6: Arg_1*Arg_3+Arg_1*Arg_4+Arg_2*Arg_3+Arg_2*Arg_4+2*Arg_4+6*Arg_3+Arg_1+Arg_2+Arg_6+2 {O(n^2)}
0: eval_abc_start->eval_abc_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_6: Arg_6 {O(n)}