Initial Problem

Start: eval_realselect_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_realselect_4, eval_realselect_5, eval_realselect_6, eval_realselect_bb0_in, eval_realselect_bb1_in, eval_realselect_bb2_in, eval_realselect_bb3_in, eval_realselect_bb4_in, eval_realselect_bb5_in, eval_realselect_start, eval_realselect_stop
Transitions:
8:eval_realselect_4(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_5(Arg_0,Arg_1,Arg_2,Arg_3)
10:eval_realselect_5(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_6(Arg_0,Arg_1,Arg_2,Arg_3)
11:eval_realselect_6(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_0)
1:eval_realselect_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb1_in(Arg_0,Arg_1,0,Arg_3)
2:eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2+1<Arg_1
3:eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=1+Arg_2
4:eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb3_in(Arg_3+1,Arg_1,Arg_2,Arg_3):|:Arg_3+1<Arg_1
5:eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb4_in(Arg_3+1,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3+1
6:eval_realselect_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_4(Arg_0,Arg_1,Arg_2,Arg_3)
12:eval_realselect_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2+1,Arg_3)
13:eval_realselect_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_realselect_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_realselect_bb2_in

Found invariant 0<=Arg_2 && Arg_1<=1+Arg_2 for location eval_realselect_stop

Found invariant 2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location eval_realselect_6

Found invariant 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location eval_realselect_bb4_in

Found invariant 0<=Arg_2 && Arg_1<=1+Arg_2 for location eval_realselect_bb5_in

Found invariant 2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location eval_realselect_5

Found invariant 2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location eval_realselect_4

Found invariant 0<=Arg_2 for location eval_realselect_bb1_in

Found invariant 2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location eval_realselect_bb3_in

Problem after Preprocessing

Start: eval_realselect_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_realselect_4, eval_realselect_5, eval_realselect_6, eval_realselect_bb0_in, eval_realselect_bb1_in, eval_realselect_bb2_in, eval_realselect_bb3_in, eval_realselect_bb4_in, eval_realselect_bb5_in, eval_realselect_start, eval_realselect_stop
Transitions:
8:eval_realselect_4(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_5(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
10:eval_realselect_5(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_6(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
11:eval_realselect_6(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_0):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
1:eval_realselect_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb1_in(Arg_0,Arg_1,0,Arg_3)
2:eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_2):|:0<=Arg_2 && Arg_2+1<Arg_1
3:eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_2 && Arg_1<=1+Arg_2
4:eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb3_in(Arg_3+1,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3+1<Arg_1
5:eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb4_in(Arg_3+1,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_1<=Arg_3+1
6:eval_realselect_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_4(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
12:eval_realselect_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2+1,Arg_3):|:1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0
13:eval_realselect_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_stop(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_2 && Arg_1<=1+Arg_2
0:eval_realselect_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

MPRF for transition 2:eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_2):|:0<=Arg_2 && Arg_2+1<Arg_1 of depth 1:

new bound:

Arg_1+1 {O(n)}

MPRF:

eval_realselect_5 [Arg_1-Arg_2-2 ]
eval_realselect_6 [Arg_1-Arg_2-2 ]
eval_realselect_bb2_in [Arg_1-Arg_2-2 ]
eval_realselect_bb3_in [Arg_1-Arg_2-2 ]
eval_realselect_4 [Arg_1-Arg_2-2 ]
eval_realselect_bb4_in [Arg_1-Arg_2-2 ]
eval_realselect_bb1_in [Arg_1-Arg_2-1 ]

MPRF for transition 5:eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb4_in(Arg_3+1,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_1<=Arg_3+1 of depth 1:

new bound:

Arg_1+1 {O(n)}

MPRF:

eval_realselect_5 [2*Arg_0+Arg_1-Arg_2-2*Arg_3-1 ]
eval_realselect_6 [2*Arg_0+Arg_1-Arg_2-2*Arg_3-1 ]
eval_realselect_bb2_in [Arg_1+1-Arg_2 ]
eval_realselect_bb3_in [Arg_1+1-Arg_2 ]
eval_realselect_4 [2*Arg_0+Arg_1-Arg_2-2*Arg_3-1 ]
eval_realselect_bb4_in [Arg_1-Arg_2 ]
eval_realselect_bb1_in [Arg_1+1-Arg_2 ]

MPRF for transition 12:eval_realselect_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb1_in(Arg_0,Arg_1,Arg_2+1,Arg_3):|:1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && Arg_1<=1+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 2+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 of depth 1:

new bound:

Arg_1 {O(n)}

MPRF:

eval_realselect_5 [Arg_1-Arg_2 ]
eval_realselect_6 [Arg_1-Arg_2 ]
eval_realselect_bb2_in [Arg_1-Arg_2 ]
eval_realselect_bb3_in [Arg_1-Arg_2 ]
eval_realselect_4 [Arg_1-Arg_2 ]
eval_realselect_bb4_in [Arg_1-Arg_2 ]
eval_realselect_bb1_in [Arg_1-Arg_2 ]

MPRF for transition 8:eval_realselect_4(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_5(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_1*Arg_1+Arg_1 {O(n^2)}

MPRF:

eval_realselect_5 [Arg_1+Arg_3-2*Arg_0 ]
eval_realselect_6 [Arg_1+Arg_3-2*Arg_0 ]
eval_realselect_bb1_in [Arg_1-Arg_2 ]
eval_realselect_bb2_in [Arg_1-Arg_3-1 ]
eval_realselect_bb4_in [Arg_1-Arg_0 ]
eval_realselect_bb3_in [Arg_1-Arg_3-1 ]
eval_realselect_4 [Arg_1-Arg_0 ]

MPRF for transition 10:eval_realselect_5(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_6(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_1*Arg_1+Arg_1 {O(n^2)}

MPRF:

eval_realselect_5 [Arg_1-Arg_0 ]
eval_realselect_6 [Arg_1-Arg_0-1 ]
eval_realselect_bb1_in [Arg_1-Arg_2 ]
eval_realselect_bb2_in [Arg_1-Arg_3-1 ]
eval_realselect_bb4_in [Arg_1-Arg_3-1 ]
eval_realselect_bb3_in [Arg_1-Arg_0 ]
eval_realselect_4 [Arg_1-Arg_0 ]

MPRF for transition 11:eval_realselect_6(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_0):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_1*Arg_1+Arg_1 {O(n^2)}

MPRF:

eval_realselect_5 [Arg_1-Arg_0 ]
eval_realselect_6 [Arg_1-Arg_0 ]
eval_realselect_bb1_in [Arg_1 ]
eval_realselect_bb2_in [Arg_1-Arg_3-1 ]
eval_realselect_bb4_in [Arg_1-Arg_3-1 ]
eval_realselect_bb3_in [Arg_1-Arg_0 ]
eval_realselect_4 [Arg_1-Arg_0 ]

MPRF for transition 4:eval_realselect_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_bb3_in(Arg_3+1,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2+Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3+1<Arg_1 of depth 1:

new bound:

2*Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}

MPRF:

eval_realselect_5 [Arg_1-Arg_3 ]
eval_realselect_6 [Arg_1-Arg_3 ]
eval_realselect_bb1_in [Arg_1+1-Arg_2 ]
eval_realselect_bb2_in [Arg_1+1-Arg_3 ]
eval_realselect_bb4_in [Arg_1-Arg_3 ]
eval_realselect_bb3_in [Arg_1-Arg_3 ]
eval_realselect_4 [Arg_1-Arg_3 ]

MPRF for transition 6:eval_realselect_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_realselect_4(Arg_0,Arg_1,Arg_2,Arg_3):|:2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_1*Arg_1+Arg_1 {O(n^2)}

MPRF:

eval_realselect_5 [Arg_1+Arg_3-2*Arg_0 ]
eval_realselect_6 [Arg_1+Arg_3-2*Arg_0 ]
eval_realselect_bb1_in [Arg_1 ]
eval_realselect_bb2_in [Arg_1-Arg_3-1 ]
eval_realselect_bb4_in [Arg_1-Arg_0 ]
eval_realselect_bb3_in [Arg_1-Arg_0 ]
eval_realselect_4 [Arg_1+Arg_3-2*Arg_0 ]

All Bounds

Timebounds

Overall timebound:8*Arg_1*Arg_1+9*Arg_1+7 {O(n^2)}
8: eval_realselect_4->eval_realselect_5: 2*Arg_1*Arg_1+Arg_1 {O(n^2)}
10: eval_realselect_5->eval_realselect_6: 2*Arg_1*Arg_1+Arg_1 {O(n^2)}
11: eval_realselect_6->eval_realselect_bb2_in: Arg_1*Arg_1+Arg_1 {O(n^2)}
1: eval_realselect_bb0_in->eval_realselect_bb1_in: 1 {O(1)}
2: eval_realselect_bb1_in->eval_realselect_bb2_in: Arg_1+1 {O(n)}
3: eval_realselect_bb1_in->eval_realselect_bb5_in: 1 {O(1)}
4: eval_realselect_bb2_in->eval_realselect_bb3_in: 2*Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
5: eval_realselect_bb2_in->eval_realselect_bb4_in: Arg_1+1 {O(n)}
6: eval_realselect_bb3_in->eval_realselect_4: Arg_1*Arg_1+Arg_1 {O(n^2)}
12: eval_realselect_bb4_in->eval_realselect_bb1_in: Arg_1 {O(n)}
13: eval_realselect_bb5_in->eval_realselect_stop: 1 {O(1)}
0: eval_realselect_start->eval_realselect_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 8*Arg_1*Arg_1+9*Arg_1+7 {O(n^2)}
8: eval_realselect_4->eval_realselect_5: 2*Arg_1*Arg_1+Arg_1 {O(n^2)}
10: eval_realselect_5->eval_realselect_6: 2*Arg_1*Arg_1+Arg_1 {O(n^2)}
11: eval_realselect_6->eval_realselect_bb2_in: Arg_1*Arg_1+Arg_1 {O(n^2)}
1: eval_realselect_bb0_in->eval_realselect_bb1_in: 1 {O(1)}
2: eval_realselect_bb1_in->eval_realselect_bb2_in: Arg_1+1 {O(n)}
3: eval_realselect_bb1_in->eval_realselect_bb5_in: 1 {O(1)}
4: eval_realselect_bb2_in->eval_realselect_bb3_in: 2*Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
5: eval_realselect_bb2_in->eval_realselect_bb4_in: Arg_1+1 {O(n)}
6: eval_realselect_bb3_in->eval_realselect_4: Arg_1*Arg_1+Arg_1 {O(n^2)}
12: eval_realselect_bb4_in->eval_realselect_bb1_in: Arg_1 {O(n)}
13: eval_realselect_bb5_in->eval_realselect_stop: 1 {O(1)}
0: eval_realselect_start->eval_realselect_bb0_in: 1 {O(1)}

Sizebounds

8: eval_realselect_4->eval_realselect_5, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
8: eval_realselect_4->eval_realselect_5, Arg_1: Arg_1 {O(n)}
8: eval_realselect_4->eval_realselect_5, Arg_2: Arg_1 {O(n)}
8: eval_realselect_4->eval_realselect_5, Arg_3: 2*Arg_1*Arg_1+4*Arg_1+1 {O(n^2)}
10: eval_realselect_5->eval_realselect_6, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
10: eval_realselect_5->eval_realselect_6, Arg_1: Arg_1 {O(n)}
10: eval_realselect_5->eval_realselect_6, Arg_2: Arg_1 {O(n)}
10: eval_realselect_5->eval_realselect_6, Arg_3: 2*Arg_1*Arg_1+4*Arg_1+1 {O(n^2)}
11: eval_realselect_6->eval_realselect_bb2_in, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
11: eval_realselect_6->eval_realselect_bb2_in, Arg_1: Arg_1 {O(n)}
11: eval_realselect_6->eval_realselect_bb2_in, Arg_2: Arg_1 {O(n)}
11: eval_realselect_6->eval_realselect_bb2_in, Arg_3: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
1: eval_realselect_bb0_in->eval_realselect_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_realselect_bb0_in->eval_realselect_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_realselect_bb0_in->eval_realselect_bb1_in, Arg_2: 0 {O(1)}
1: eval_realselect_bb0_in->eval_realselect_bb1_in, Arg_3: Arg_3 {O(n)}
2: eval_realselect_bb1_in->eval_realselect_bb2_in, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+Arg_0+2 {O(n^2)}
2: eval_realselect_bb1_in->eval_realselect_bb2_in, Arg_1: Arg_1 {O(n)}
2: eval_realselect_bb1_in->eval_realselect_bb2_in, Arg_2: Arg_1 {O(n)}
2: eval_realselect_bb1_in->eval_realselect_bb2_in, Arg_3: Arg_1 {O(n)}
3: eval_realselect_bb1_in->eval_realselect_bb5_in, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+Arg_0+2 {O(n^2)}
3: eval_realselect_bb1_in->eval_realselect_bb5_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_realselect_bb1_in->eval_realselect_bb5_in, Arg_2: Arg_1 {O(n)}
3: eval_realselect_bb1_in->eval_realselect_bb5_in, Arg_3: 2*Arg_1*Arg_1+3*Arg_1+Arg_3+1 {O(n^2)}
4: eval_realselect_bb2_in->eval_realselect_bb3_in, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
4: eval_realselect_bb2_in->eval_realselect_bb3_in, Arg_1: Arg_1 {O(n)}
4: eval_realselect_bb2_in->eval_realselect_bb3_in, Arg_2: Arg_1 {O(n)}
4: eval_realselect_bb2_in->eval_realselect_bb3_in, Arg_3: 2*Arg_1*Arg_1+4*Arg_1+1 {O(n^2)}
5: eval_realselect_bb2_in->eval_realselect_bb4_in, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+2 {O(n^2)}
5: eval_realselect_bb2_in->eval_realselect_bb4_in, Arg_1: Arg_1 {O(n)}
5: eval_realselect_bb2_in->eval_realselect_bb4_in, Arg_2: Arg_1 {O(n)}
5: eval_realselect_bb2_in->eval_realselect_bb4_in, Arg_3: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
6: eval_realselect_bb3_in->eval_realselect_4, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
6: eval_realselect_bb3_in->eval_realselect_4, Arg_1: Arg_1 {O(n)}
6: eval_realselect_bb3_in->eval_realselect_4, Arg_2: Arg_1 {O(n)}
6: eval_realselect_bb3_in->eval_realselect_4, Arg_3: 2*Arg_1*Arg_1+4*Arg_1+1 {O(n^2)}
12: eval_realselect_bb4_in->eval_realselect_bb1_in, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+2 {O(n^2)}
12: eval_realselect_bb4_in->eval_realselect_bb1_in, Arg_1: Arg_1 {O(n)}
12: eval_realselect_bb4_in->eval_realselect_bb1_in, Arg_2: Arg_1 {O(n)}
12: eval_realselect_bb4_in->eval_realselect_bb1_in, Arg_3: 2*Arg_1*Arg_1+3*Arg_1+1 {O(n^2)}
13: eval_realselect_bb5_in->eval_realselect_stop, Arg_0: 2*Arg_1*Arg_1+3*Arg_1+Arg_0+2 {O(n^2)}
13: eval_realselect_bb5_in->eval_realselect_stop, Arg_1: 2*Arg_1 {O(n)}
13: eval_realselect_bb5_in->eval_realselect_stop, Arg_2: Arg_1 {O(n)}
13: eval_realselect_bb5_in->eval_realselect_stop, Arg_3: 2*Arg_1*Arg_1+3*Arg_1+Arg_3+1 {O(n^2)}
0: eval_realselect_start->eval_realselect_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_realselect_start->eval_realselect_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_realselect_start->eval_realselect_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_realselect_start->eval_realselect_bb0_in, Arg_3: Arg_3 {O(n)}