Initial Problem

Start: evalrealbubblestart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E, F
Locations: evalrealbubblebb1in, evalrealbubblebb2in, evalrealbubblebb3in, evalrealbubblebb4in, evalrealbubblebb5in, evalrealbubblebb6in, evalrealbubblebb7in, evalrealbubbleentryin, evalrealbubblereturnin, evalrealbubblestart, evalrealbubblestop
Transitions:
6:evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:F+1<=E
7:evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,Arg_2):|:E<=F
8:evalrealbubblebb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,1)
9:evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb4in(Arg_0,Arg_1+1,Arg_3,Arg_3)
4:evalrealbubblebb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1+1<=Arg_0
5:evalrealbubblebb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_1
11:evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2+1<=0
12:evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_2
10:evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblereturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=0 && 0<=Arg_2
13:evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb7in(Arg_0-1,Arg_1,Arg_2,Arg_3)
2:evalrealbubblebb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb4in(Arg_0,0,0,Arg_3):|:1<=Arg_0
3:evalrealbubblebb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblereturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
1:evalrealbubbleentryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb7in(Arg_0-1,Arg_1,Arg_2,Arg_3)
14:evalrealbubblereturnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblestop(Arg_0,Arg_1,Arg_2,Arg_3)
0:evalrealbubblestart(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubbleentryin(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location evalrealbubblebb2in

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location evalrealbubblebb4in

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location evalrealbubblebb5in

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location evalrealbubblebb6in

Found invariant Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location evalrealbubblebb1in

Found invariant Arg_3<=1+Arg_2 && Arg_3<=1+Arg_1 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location evalrealbubblebb3in

Cut unsatisfiable transition 11: evalrealbubblebb5in->evalrealbubblebb6in

Problem after Preprocessing

Start: evalrealbubblestart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E, F
Locations: evalrealbubblebb1in, evalrealbubblebb2in, evalrealbubblebb3in, evalrealbubblebb4in, evalrealbubblebb5in, evalrealbubblebb6in, evalrealbubblebb7in, evalrealbubbleentryin, evalrealbubblereturnin, evalrealbubblestart, evalrealbubblestop
Transitions:
6:evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && F+1<=E
7:evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && E<=F
8:evalrealbubblebb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
9:evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb4in(Arg_0,Arg_1+1,Arg_3,Arg_3):|:Arg_3<=1+Arg_2 && Arg_3<=1+Arg_1 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
4:evalrealbubblebb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1+1<=Arg_0
5:evalrealbubblebb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
12:evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2
10:evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblereturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_2<=0 && 0<=Arg_2
13:evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb7in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0
2:evalrealbubblebb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb4in(Arg_0,0,0,Arg_3):|:1<=Arg_0
3:evalrealbubblebb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblereturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
1:evalrealbubbleentryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb7in(Arg_0-1,Arg_1,Arg_2,Arg_3)
14:evalrealbubblereturnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblestop(Arg_0,Arg_1,Arg_2,Arg_3)
0:evalrealbubblestart(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubbleentryin(Arg_0,Arg_1,Arg_2,Arg_3)

MPRF for transition 5:evalrealbubblebb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 of depth 1:

new bound:

Arg_0+2 {O(n)}

MPRF:

evalrealbubblebb2in [Arg_0+1 ]
evalrealbubblebb3in [Arg_0+1 ]
evalrealbubblebb1in [Arg_0+1 ]
evalrealbubblebb5in [Arg_1 ]
evalrealbubblebb6in [Arg_0 ]
evalrealbubblebb7in [Arg_0+1 ]
evalrealbubblebb4in [Arg_0+1 ]

MPRF for transition 12:evalrealbubblebb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_2 of depth 1:

new bound:

Arg_0+2 {O(n)}

MPRF:

evalrealbubblebb2in [Arg_0+1 ]
evalrealbubblebb3in [Arg_0+1 ]
evalrealbubblebb1in [Arg_0+1 ]
evalrealbubblebb5in [Arg_1+1 ]
evalrealbubblebb6in [Arg_1 ]
evalrealbubblebb7in [Arg_0+1 ]
evalrealbubblebb4in [Arg_0+1 ]

MPRF for transition 13:evalrealbubblebb6in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb7in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_0+2 {O(n)}

MPRF:

evalrealbubblebb2in [Arg_0+1 ]
evalrealbubblebb3in [Arg_0+1 ]
evalrealbubblebb1in [Arg_0+1 ]
evalrealbubblebb5in [Arg_1+1 ]
evalrealbubblebb6in [Arg_0+1 ]
evalrealbubblebb7in [Arg_0+1 ]
evalrealbubblebb4in [Arg_0+1 ]

MPRF for transition 2:evalrealbubblebb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb4in(Arg_0,0,0,Arg_3):|:1<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

evalrealbubblebb2in [Arg_0-1 ]
evalrealbubblebb3in [Arg_0-1 ]
evalrealbubblebb1in [Arg_0-1 ]
evalrealbubblebb5in [Arg_0-1 ]
evalrealbubblebb6in [Arg_0-1 ]
evalrealbubblebb7in [Arg_0 ]
evalrealbubblebb4in [Arg_0-1 ]

MPRF for transition 6:evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && F+1<=E of depth 1:

new bound:

3*Arg_0*Arg_0+6*Arg_0+3 {O(n^2)}

MPRF:

evalrealbubblebb2in [3*Arg_0-Arg_1-1 ]
evalrealbubblebb3in [3*Arg_0-Arg_1-1 ]
evalrealbubblebb1in [3*Arg_0-Arg_1 ]
evalrealbubblebb4in [3*Arg_0-Arg_1 ]
evalrealbubblebb5in [3*Arg_0-Arg_1 ]
evalrealbubblebb6in [3*Arg_0-Arg_1 ]
evalrealbubblebb7in [2*Arg_0 ]

MPRF for transition 7:evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,Arg_2):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && E<=F of depth 1:

new bound:

Arg_0*Arg_0+2*Arg_0+1 {O(n^2)}

MPRF:

evalrealbubblebb2in [Arg_0-Arg_1 ]
evalrealbubblebb3in [Arg_0-Arg_1-1 ]
evalrealbubblebb1in [Arg_0-Arg_1 ]
evalrealbubblebb4in [Arg_0-Arg_1 ]
evalrealbubblebb5in [Arg_0-Arg_1 ]
evalrealbubblebb6in [Arg_0-Arg_1 ]
evalrealbubblebb7in [0 ]

MPRF for transition 8:evalrealbubblebb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,1):|:Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_0*Arg_0+4*Arg_0+2 {O(n^2)}

MPRF:

evalrealbubblebb2in [2*Arg_0-Arg_1 ]
evalrealbubblebb3in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb1in [2*Arg_0-Arg_1 ]
evalrealbubblebb4in [2*Arg_0-Arg_1 ]
evalrealbubblebb5in [Arg_0 ]
evalrealbubblebb6in [Arg_0 ]
evalrealbubblebb7in [Arg_0 ]

MPRF for transition 9:evalrealbubblebb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb4in(Arg_0,Arg_1+1,Arg_3,Arg_3):|:Arg_3<=1+Arg_2 && Arg_3<=1+Arg_1 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}

MPRF:

evalrealbubblebb2in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb3in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb1in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb4in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb5in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb6in [2*Arg_0-Arg_1-1 ]
evalrealbubblebb7in [Arg_0 ]

MPRF for transition 4:evalrealbubblebb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalrealbubblebb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1+1<=Arg_0 of depth 1:

new bound:

Arg_0*Arg_0+3*Arg_0+2 {O(n^2)}

MPRF:

evalrealbubblebb2in [Arg_0-Arg_1 ]
evalrealbubblebb3in [Arg_0-Arg_1 ]
evalrealbubblebb1in [Arg_0-Arg_1 ]
evalrealbubblebb4in [Arg_0+1-Arg_1 ]
evalrealbubblebb5in [0 ]
evalrealbubblebb6in [0 ]
evalrealbubblebb7in [0 ]

All Bounds

Timebounds

Overall timebound:9*Arg_0*Arg_0+24*Arg_0+23 {O(n^2)}
6: evalrealbubblebb1in->evalrealbubblebb2in: 3*Arg_0*Arg_0+6*Arg_0+3 {O(n^2)}
7: evalrealbubblebb1in->evalrealbubblebb3in: Arg_0*Arg_0+2*Arg_0+1 {O(n^2)}
8: evalrealbubblebb2in->evalrealbubblebb3in: 2*Arg_0*Arg_0+4*Arg_0+2 {O(n^2)}
9: evalrealbubblebb3in->evalrealbubblebb4in: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
4: evalrealbubblebb4in->evalrealbubblebb1in: Arg_0*Arg_0+3*Arg_0+2 {O(n^2)}
5: evalrealbubblebb4in->evalrealbubblebb5in: Arg_0+2 {O(n)}
10: evalrealbubblebb5in->evalrealbubblereturnin: 1 {O(1)}
12: evalrealbubblebb5in->evalrealbubblebb6in: Arg_0+2 {O(n)}
13: evalrealbubblebb6in->evalrealbubblebb7in: Arg_0+2 {O(n)}
2: evalrealbubblebb7in->evalrealbubblebb4in: Arg_0+1 {O(n)}
3: evalrealbubblebb7in->evalrealbubblereturnin: 1 {O(1)}
1: evalrealbubbleentryin->evalrealbubblebb7in: 1 {O(1)}
14: evalrealbubblereturnin->evalrealbubblestop: 1 {O(1)}
0: evalrealbubblestart->evalrealbubbleentryin: 1 {O(1)}

Costbounds

Overall costbound: 9*Arg_0*Arg_0+24*Arg_0+23 {O(n^2)}
6: evalrealbubblebb1in->evalrealbubblebb2in: 3*Arg_0*Arg_0+6*Arg_0+3 {O(n^2)}
7: evalrealbubblebb1in->evalrealbubblebb3in: Arg_0*Arg_0+2*Arg_0+1 {O(n^2)}
8: evalrealbubblebb2in->evalrealbubblebb3in: 2*Arg_0*Arg_0+4*Arg_0+2 {O(n^2)}
9: evalrealbubblebb3in->evalrealbubblebb4in: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
4: evalrealbubblebb4in->evalrealbubblebb1in: Arg_0*Arg_0+3*Arg_0+2 {O(n^2)}
5: evalrealbubblebb4in->evalrealbubblebb5in: Arg_0+2 {O(n)}
10: evalrealbubblebb5in->evalrealbubblereturnin: 1 {O(1)}
12: evalrealbubblebb5in->evalrealbubblebb6in: Arg_0+2 {O(n)}
13: evalrealbubblebb6in->evalrealbubblebb7in: Arg_0+2 {O(n)}
2: evalrealbubblebb7in->evalrealbubblebb4in: Arg_0+1 {O(n)}
3: evalrealbubblebb7in->evalrealbubblereturnin: 1 {O(1)}
1: evalrealbubbleentryin->evalrealbubblebb7in: 1 {O(1)}
14: evalrealbubblereturnin->evalrealbubblestop: 1 {O(1)}
0: evalrealbubblestart->evalrealbubbleentryin: 1 {O(1)}

Sizebounds

6: evalrealbubblebb1in->evalrealbubblebb2in, Arg_0: Arg_0+1 {O(n)}
6: evalrealbubblebb1in->evalrealbubblebb2in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
6: evalrealbubblebb1in->evalrealbubblebb2in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
6: evalrealbubblebb1in->evalrealbubblebb2in, Arg_3: 4*Arg_0*Arg_0+10*Arg_0+Arg_3+8 {O(n^2)}
7: evalrealbubblebb1in->evalrealbubblebb3in, Arg_0: Arg_0+1 {O(n)}
7: evalrealbubblebb1in->evalrealbubblebb3in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
7: evalrealbubblebb1in->evalrealbubblebb3in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
7: evalrealbubblebb1in->evalrealbubblebb3in, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
8: evalrealbubblebb2in->evalrealbubblebb3in, Arg_0: Arg_0+1 {O(n)}
8: evalrealbubblebb2in->evalrealbubblebb3in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
8: evalrealbubblebb2in->evalrealbubblebb3in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
8: evalrealbubblebb2in->evalrealbubblebb3in, Arg_3: 1 {O(1)}
9: evalrealbubblebb3in->evalrealbubblebb4in, Arg_0: Arg_0+1 {O(n)}
9: evalrealbubblebb3in->evalrealbubblebb4in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
9: evalrealbubblebb3in->evalrealbubblebb4in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
9: evalrealbubblebb3in->evalrealbubblebb4in, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+4 {O(n^2)}
4: evalrealbubblebb4in->evalrealbubblebb1in, Arg_0: Arg_0+1 {O(n)}
4: evalrealbubblebb4in->evalrealbubblebb1in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
4: evalrealbubblebb4in->evalrealbubblebb1in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
4: evalrealbubblebb4in->evalrealbubblebb1in, Arg_3: 4*Arg_0*Arg_0+10*Arg_0+Arg_3+8 {O(n^2)}
5: evalrealbubblebb4in->evalrealbubblebb5in, Arg_0: Arg_0+1 {O(n)}
5: evalrealbubblebb4in->evalrealbubblebb5in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
5: evalrealbubblebb4in->evalrealbubblebb5in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
5: evalrealbubblebb4in->evalrealbubblebb5in, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+4 {O(n^2)}
10: evalrealbubblebb5in->evalrealbubblereturnin, Arg_0: Arg_0+1 {O(n)}
10: evalrealbubblebb5in->evalrealbubblereturnin, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
10: evalrealbubblebb5in->evalrealbubblereturnin, Arg_2: 0 {O(1)}
10: evalrealbubblebb5in->evalrealbubblereturnin, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+4 {O(n^2)}
12: evalrealbubblebb5in->evalrealbubblebb6in, Arg_0: Arg_0+1 {O(n)}
12: evalrealbubblebb5in->evalrealbubblebb6in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
12: evalrealbubblebb5in->evalrealbubblebb6in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
12: evalrealbubblebb5in->evalrealbubblebb6in, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+4 {O(n^2)}
13: evalrealbubblebb6in->evalrealbubblebb7in, Arg_0: Arg_0+1 {O(n)}
13: evalrealbubblebb6in->evalrealbubblebb7in, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
13: evalrealbubblebb6in->evalrealbubblebb7in, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+3 {O(n^2)}
13: evalrealbubblebb6in->evalrealbubblebb7in, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+4 {O(n^2)}
2: evalrealbubblebb7in->evalrealbubblebb4in, Arg_0: Arg_0+1 {O(n)}
2: evalrealbubblebb7in->evalrealbubblebb4in, Arg_1: 0 {O(1)}
2: evalrealbubblebb7in->evalrealbubblebb4in, Arg_2: 0 {O(1)}
2: evalrealbubblebb7in->evalrealbubblebb4in, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+Arg_3+4 {O(n^2)}
3: evalrealbubblebb7in->evalrealbubblereturnin, Arg_0: 2*Arg_0+2 {O(n)}
3: evalrealbubblebb7in->evalrealbubblereturnin, Arg_1: 2*Arg_0*Arg_0+5*Arg_0+Arg_1+3 {O(n^2)}
3: evalrealbubblebb7in->evalrealbubblereturnin, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+Arg_2+3 {O(n^2)}
3: evalrealbubblebb7in->evalrealbubblereturnin, Arg_3: 2*Arg_0*Arg_0+5*Arg_0+Arg_3+4 {O(n^2)}
1: evalrealbubbleentryin->evalrealbubblebb7in, Arg_0: Arg_0+1 {O(n)}
1: evalrealbubbleentryin->evalrealbubblebb7in, Arg_1: Arg_1 {O(n)}
1: evalrealbubbleentryin->evalrealbubblebb7in, Arg_2: Arg_2 {O(n)}
1: evalrealbubbleentryin->evalrealbubblebb7in, Arg_3: Arg_3 {O(n)}
14: evalrealbubblereturnin->evalrealbubblestop, Arg_0: 3*Arg_0+3 {O(n)}
14: evalrealbubblereturnin->evalrealbubblestop, Arg_1: 4*Arg_0*Arg_0+10*Arg_0+Arg_1+6 {O(n^2)}
14: evalrealbubblereturnin->evalrealbubblestop, Arg_2: 2*Arg_0*Arg_0+5*Arg_0+Arg_2+3 {O(n^2)}
14: evalrealbubblereturnin->evalrealbubblestop, Arg_3: 4*Arg_0*Arg_0+10*Arg_0+Arg_3+8 {O(n^2)}
0: evalrealbubblestart->evalrealbubbleentryin, Arg_0: Arg_0 {O(n)}
0: evalrealbubblestart->evalrealbubbleentryin, Arg_1: Arg_1 {O(n)}
0: evalrealbubblestart->evalrealbubbleentryin, Arg_2: Arg_2 {O(n)}
0: evalrealbubblestart->evalrealbubbleentryin, Arg_3: Arg_3 {O(n)}