Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
9:evalfbb1in(Arg_0,Arg_1) -> evalfbb3in(Arg_0+1,Arg_1)
10:evalfbb2in(Arg_0,Arg_1) -> evalfbb3in(Arg_0-Arg_1,Arg_1)
3:evalfbb3in(Arg_0,Arg_1) -> evalfbb4in(Arg_0,Arg_1):|:1<=Arg_0
2:evalfbb3in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:Arg_0<=0
4:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:C+1<=0
5:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:1<=C
6:evalfbb4in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1)
7:evalfbbin(Arg_0,Arg_1) -> evalfbb1in(Arg_0,Arg_1):|:Arg_0+1<=Arg_1
8:evalfbbin(Arg_0,Arg_1) -> evalfbb2in(Arg_0,Arg_1):|:Arg_1<=Arg_0
1:evalfentryin(Arg_0,Arg_1) -> evalfbb3in(Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1) -> evalfstop(Arg_0,Arg_1)
0:evalfstart(Arg_0,Arg_1) -> evalfentryin(Arg_0,Arg_1)

Preprocessing

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfreturnin

Found invariant 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbb1in

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb2in

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

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfbb3in

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfstop

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb4in

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
9:evalfbb1in(Arg_0,Arg_1) -> evalfbb3in(Arg_0+1,Arg_1):|:2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
10:evalfbb2in(Arg_0,Arg_1) -> evalfbb3in(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
3:evalfbb3in(Arg_0,Arg_1) -> evalfbb4in(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
2:evalfbb3in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=0
4:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && C+1<=0
5:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=C
6:evalfbb4in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
7:evalfbbin(Arg_0,Arg_1) -> evalfbb1in(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0+1<=Arg_1
8:evalfbbin(Arg_0,Arg_1) -> evalfbb2in(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0
1:evalfentryin(Arg_0,Arg_1) -> evalfbb3in(Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1) -> evalfstop(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1
0:evalfstart(Arg_0,Arg_1) -> evalfentryin(Arg_0,Arg_1)

Analysing control-flow refined program

Cut unsatisfiable transition 2: evalfbb3in->evalfreturnin

Cut unsatisfiable transition 133: n_evalfbb3in___14->evalfreturnin

Cut unsatisfiable transition 98: n_evalfbb3in___4->n_evalfbb4in___3

Cut unsatisfiable transition 135: n_evalfbb3in___9->evalfreturnin

Cut unreachable locations [n_evalfbb4in___3; n_evalfbbin___2] from the program graph

Found invariant Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_evalfbb2in___5

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfreturnin

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbbin___16

Found invariant 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_evalfbbin___7

Found invariant 2<=Arg_1 && 2<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 for location n_evalfbb3in___4

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfbb4in___13

Found invariant 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_evalfbb4in___8

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location evalfbb3in

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbb2in___15

Found invariant 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_evalfbb3in___9

Found invariant 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_evalfbb4in___17

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 for location n_evalfbb3in___14

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfbbin___12

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_evalfbb2in___10

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location n_evalfbb3in___1

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfstop

Found invariant 3<=Arg_1 && 5<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 2<=Arg_0 for location n_evalfbb1in___6

Found invariant 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_evalfbb1in___11

MPRF for transition 92:n_evalfbb2in___10(Arg_0,Arg_1) -> n_evalfbb3in___1(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_1 of depth 1:

new bound:

2*Arg_1 {O(n)}

MPRF:

n_evalfbb3in___1 [Arg_0 ]
n_evalfbb4in___13 [Arg_0 ]
n_evalfbbin___12 [Arg_0 ]
n_evalfbb2in___10 [Arg_0+1-Arg_1 ]

MPRF for transition 95:n_evalfbb3in___1(Arg_0,Arg_1) -> n_evalfbb4in___13(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 of depth 1:

new bound:

2*Arg_1 {O(n)}

MPRF:

n_evalfbb3in___1 [Arg_0+1 ]
n_evalfbb4in___13 [Arg_0 ]
n_evalfbbin___12 [Arg_0 ]
n_evalfbb2in___10 [Arg_0+1-Arg_1 ]

MPRF for transition 100:n_evalfbb4in___13(Arg_0,Arg_1) -> n_evalfbbin___12(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_1 {O(n)}

MPRF:

n_evalfbb3in___1 [Arg_0 ]
n_evalfbb4in___13 [Arg_0 ]
n_evalfbbin___12 [Arg_0-1 ]
n_evalfbb2in___10 [Arg_0-Arg_1 ]

MPRF for transition 101:n_evalfbb4in___13(Arg_0,Arg_1) -> n_evalfbbin___12(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_1 {O(n)}

MPRF:

n_evalfbb3in___1 [Arg_0 ]
n_evalfbb4in___13 [Arg_0 ]
n_evalfbbin___12 [Arg_0-1 ]
n_evalfbb2in___10 [Arg_0-Arg_1 ]

MPRF for transition 109:n_evalfbbin___12(Arg_0,Arg_1) -> n_evalfbb2in___10(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 of depth 1:

new bound:

2*Arg_0+2*Arg_1+1 {O(n)}

MPRF:

n_evalfbb3in___1 [Arg_0+Arg_1-1 ]
n_evalfbb4in___13 [Arg_0+Arg_1-1 ]
n_evalfbbin___12 [Arg_0 ]
n_evalfbb2in___10 [Arg_0-1 ]

MPRF for transition 91:n_evalfbb1in___6(Arg_0,Arg_1) -> n_evalfbb3in___9(Arg_0+1,Arg_1):|:3<=Arg_1 && 5<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 2<=Arg_0 && 1+Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1 of depth 1:

new bound:

8*Arg_0+8*Arg_1+1 {O(n)}

MPRF:

n_evalfbb3in___9 [Arg_1-Arg_0 ]
n_evalfbb4in___8 [Arg_1-Arg_0 ]
n_evalfbbin___7 [Arg_1-Arg_0 ]
n_evalfbb1in___6 [Arg_1-Arg_0 ]

MPRF for transition 99:n_evalfbb3in___9(Arg_0,Arg_1) -> n_evalfbb4in___8(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 of depth 1:

new bound:

8*Arg_0+8*Arg_1+2 {O(n)}

MPRF:

n_evalfbb3in___9 [Arg_1+1-Arg_0 ]
n_evalfbb4in___8 [Arg_1-Arg_0 ]
n_evalfbbin___7 [Arg_1-Arg_0 ]
n_evalfbb1in___6 [Arg_1-Arg_0 ]

MPRF for transition 106:n_evalfbb4in___8(Arg_0,Arg_1) -> n_evalfbbin___7(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

8*Arg_0+8*Arg_1+2 {O(n)}

MPRF:

n_evalfbb3in___9 [Arg_1+1-Arg_0 ]
n_evalfbb4in___8 [Arg_1+1-Arg_0 ]
n_evalfbbin___7 [Arg_1-Arg_0 ]
n_evalfbb1in___6 [Arg_1-Arg_0 ]

MPRF for transition 107:n_evalfbb4in___8(Arg_0,Arg_1) -> n_evalfbbin___7(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 of depth 1:

new bound:

8*Arg_0+8*Arg_1+2 {O(n)}

MPRF:

n_evalfbb3in___9 [Arg_1+1-Arg_0 ]
n_evalfbb4in___8 [Arg_1+1-Arg_0 ]
n_evalfbbin___7 [Arg_1-Arg_0 ]
n_evalfbb1in___6 [Arg_1-Arg_0 ]

MPRF for transition 112:n_evalfbbin___7(Arg_0,Arg_1) -> n_evalfbb1in___6(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1 of depth 1:

new bound:

8*Arg_0+8*Arg_1+2 {O(n)}

MPRF:

n_evalfbb3in___9 [Arg_1+1-Arg_0 ]
n_evalfbb4in___8 [Arg_1+1-Arg_0 ]
n_evalfbbin___7 [Arg_1+1-Arg_0 ]
n_evalfbb1in___6 [Arg_1-Arg_0 ]

CFR: Improvement to new bound with the following program:

new bound:

42*Arg_0+50*Arg_1+10 {O(n)}

cfr-program:

Start: evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: evalfbb3in, evalfentryin, evalfreturnin, evalfstart, evalfstop, n_evalfbb1in___11, n_evalfbb1in___6, n_evalfbb2in___10, n_evalfbb2in___15, n_evalfbb2in___5, n_evalfbb3in___1, n_evalfbb3in___14, n_evalfbb3in___4, n_evalfbb3in___9, n_evalfbb4in___13, n_evalfbb4in___17, n_evalfbb4in___8, n_evalfbbin___12, n_evalfbbin___16, n_evalfbbin___7
Transitions:
97:evalfbb3in(Arg_0,Arg_1) -> n_evalfbb4in___17(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_1 && 1+Arg_1<=Arg_0 && 1<=Arg_0 && 1<=Arg_1
1:evalfentryin(Arg_0,Arg_1) -> evalfbb3in(Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1) -> evalfstop(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_1 && 1<=Arg_0+Arg_1
0:evalfstart(Arg_0,Arg_1) -> evalfentryin(Arg_0,Arg_1)
90:n_evalfbb1in___11(Arg_0,Arg_1) -> n_evalfbb3in___9(Arg_0+1,Arg_1):|:2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1
91:n_evalfbb1in___6(Arg_0,Arg_1) -> n_evalfbb3in___9(Arg_0+1,Arg_1):|:3<=Arg_1 && 5<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 2<=Arg_0 && 1+Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1
92:n_evalfbb2in___10(Arg_0,Arg_1) -> n_evalfbb3in___1(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_1
93:n_evalfbb2in___15(Arg_0,Arg_1) -> n_evalfbb3in___14(Arg_0-Arg_1,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_1
94:n_evalfbb2in___5(Arg_0,Arg_1) -> n_evalfbb3in___4(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && 2<=Arg_0 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1
132:n_evalfbb3in___1(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=0
95:n_evalfbb3in___1(Arg_0,Arg_1) -> n_evalfbb4in___13(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1
96:n_evalfbb3in___14(Arg_0,Arg_1) -> n_evalfbb4in___13(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1
134:n_evalfbb3in___4(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:2<=Arg_1 && 2<=Arg_0+Arg_1 && 2+Arg_0<=Arg_1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=0
99:n_evalfbb3in___9(Arg_0,Arg_1) -> n_evalfbb4in___8(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1
128:n_evalfbb4in___13(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
100:n_evalfbb4in___13(Arg_0,Arg_1) -> n_evalfbbin___12(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0
101:n_evalfbb4in___13(Arg_0,Arg_1) -> n_evalfbbin___12(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0
129:n_evalfbb4in___17(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
102:n_evalfbb4in___17(Arg_0,Arg_1) -> n_evalfbbin___16(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 1<=Arg_1 && 1<=Arg_0
103:n_evalfbb4in___17(Arg_0,Arg_1) -> n_evalfbbin___16(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 1<=Arg_1 && 1<=Arg_0
131:n_evalfbb4in___8(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
106:n_evalfbb4in___8(Arg_0,Arg_1) -> n_evalfbbin___7(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_1 && 1<=Arg_0
107:n_evalfbb4in___8(Arg_0,Arg_1) -> n_evalfbbin___7(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_1 && 1<=Arg_0
108:n_evalfbbin___12(Arg_0,Arg_1) -> n_evalfbb1in___11(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1
109:n_evalfbbin___12(Arg_0,Arg_1) -> n_evalfbb2in___10(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1
110:n_evalfbbin___16(Arg_0,Arg_1) -> n_evalfbb2in___15(Arg_0,Arg_1):|:1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_0 && 1<=Arg_1
112:n_evalfbbin___7(Arg_0,Arg_1) -> n_evalfbb1in___6(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && 1<=Arg_0 && 1+Arg_0<=Arg_1
113:n_evalfbbin___7(Arg_0,Arg_1) -> n_evalfbb2in___5(Arg_0,Arg_1):|:2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_0<=Arg_1 && 2<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1

All Bounds

Timebounds

Overall timebound:42*Arg_0+50*Arg_1+28 {O(n)}
97: evalfbb3in->n_evalfbb4in___17: 1 {O(1)}
1: evalfentryin->evalfbb3in: 1 {O(1)}
11: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}
90: n_evalfbb1in___11->n_evalfbb3in___9: 1 {O(1)}
91: n_evalfbb1in___6->n_evalfbb3in___9: 8*Arg_0+8*Arg_1+1 {O(n)}
92: n_evalfbb2in___10->n_evalfbb3in___1: 2*Arg_1 {O(n)}
93: n_evalfbb2in___15->n_evalfbb3in___14: 1 {O(1)}
94: n_evalfbb2in___5->n_evalfbb3in___4: 1 {O(1)}
95: n_evalfbb3in___1->n_evalfbb4in___13: 2*Arg_1 {O(n)}
132: n_evalfbb3in___1->evalfreturnin: 1 {O(1)}
96: n_evalfbb3in___14->n_evalfbb4in___13: 1 {O(1)}
134: n_evalfbb3in___4->evalfreturnin: 1 {O(1)}
99: n_evalfbb3in___9->n_evalfbb4in___8: 8*Arg_0+8*Arg_1+2 {O(n)}
100: n_evalfbb4in___13->n_evalfbbin___12: 2*Arg_1 {O(n)}
101: n_evalfbb4in___13->n_evalfbbin___12: 2*Arg_1 {O(n)}
128: n_evalfbb4in___13->evalfreturnin: 1 {O(1)}
102: n_evalfbb4in___17->n_evalfbbin___16: 1 {O(1)}
103: n_evalfbb4in___17->n_evalfbbin___16: 1 {O(1)}
129: n_evalfbb4in___17->evalfreturnin: 1 {O(1)}
106: n_evalfbb4in___8->n_evalfbbin___7: 8*Arg_0+8*Arg_1+2 {O(n)}
107: n_evalfbb4in___8->n_evalfbbin___7: 8*Arg_0+8*Arg_1+2 {O(n)}
131: n_evalfbb4in___8->evalfreturnin: 1 {O(1)}
108: n_evalfbbin___12->n_evalfbb1in___11: 1 {O(1)}
109: n_evalfbbin___12->n_evalfbb2in___10: 2*Arg_0+2*Arg_1+1 {O(n)}
110: n_evalfbbin___16->n_evalfbb2in___15: 1 {O(1)}
112: n_evalfbbin___7->n_evalfbb1in___6: 8*Arg_0+8*Arg_1+2 {O(n)}
113: n_evalfbbin___7->n_evalfbb2in___5: 1 {O(1)}

Costbounds

Overall costbound: 42*Arg_0+50*Arg_1+28 {O(n)}
97: evalfbb3in->n_evalfbb4in___17: 1 {O(1)}
1: evalfentryin->evalfbb3in: 1 {O(1)}
11: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}
90: n_evalfbb1in___11->n_evalfbb3in___9: 1 {O(1)}
91: n_evalfbb1in___6->n_evalfbb3in___9: 8*Arg_0+8*Arg_1+1 {O(n)}
92: n_evalfbb2in___10->n_evalfbb3in___1: 2*Arg_1 {O(n)}
93: n_evalfbb2in___15->n_evalfbb3in___14: 1 {O(1)}
94: n_evalfbb2in___5->n_evalfbb3in___4: 1 {O(1)}
95: n_evalfbb3in___1->n_evalfbb4in___13: 2*Arg_1 {O(n)}
132: n_evalfbb3in___1->evalfreturnin: 1 {O(1)}
96: n_evalfbb3in___14->n_evalfbb4in___13: 1 {O(1)}
134: n_evalfbb3in___4->evalfreturnin: 1 {O(1)}
99: n_evalfbb3in___9->n_evalfbb4in___8: 8*Arg_0+8*Arg_1+2 {O(n)}
100: n_evalfbb4in___13->n_evalfbbin___12: 2*Arg_1 {O(n)}
101: n_evalfbb4in___13->n_evalfbbin___12: 2*Arg_1 {O(n)}
128: n_evalfbb4in___13->evalfreturnin: 1 {O(1)}
102: n_evalfbb4in___17->n_evalfbbin___16: 1 {O(1)}
103: n_evalfbb4in___17->n_evalfbbin___16: 1 {O(1)}
129: n_evalfbb4in___17->evalfreturnin: 1 {O(1)}
106: n_evalfbb4in___8->n_evalfbbin___7: 8*Arg_0+8*Arg_1+2 {O(n)}
107: n_evalfbb4in___8->n_evalfbbin___7: 8*Arg_0+8*Arg_1+2 {O(n)}
131: n_evalfbb4in___8->evalfreturnin: 1 {O(1)}
108: n_evalfbbin___12->n_evalfbb1in___11: 1 {O(1)}
109: n_evalfbbin___12->n_evalfbb2in___10: 2*Arg_0+2*Arg_1+1 {O(n)}
110: n_evalfbbin___16->n_evalfbb2in___15: 1 {O(1)}
112: n_evalfbbin___7->n_evalfbb1in___6: 8*Arg_0+8*Arg_1+2 {O(n)}
113: n_evalfbbin___7->n_evalfbb2in___5: 1 {O(1)}

Sizebounds

2: evalfbb3in->evalfreturnin, Arg_1: Arg_0 {O(n)}
97: evalfbb3in->n_evalfbb4in___17, Arg_0: Arg_1 {O(n)}
97: evalfbb3in->n_evalfbb4in___17, Arg_1: Arg_0 {O(n)}
1: evalfentryin->evalfbb3in, Arg_0: Arg_1 {O(n)}
1: evalfentryin->evalfbb3in, Arg_1: Arg_0 {O(n)}
11: evalfreturnin->evalfstop, Arg_0: 27*Arg_1+8*Arg_0+2 {O(n)}
11: evalfreturnin->evalfstop, Arg_1: 2*Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_0: Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_1: Arg_1 {O(n)}
90: n_evalfbb1in___11->n_evalfbb3in___9, Arg_0: 8*Arg_1+1 {O(n)}
90: n_evalfbb1in___11->n_evalfbb3in___9, Arg_1: 8*Arg_0 {O(n)}
91: n_evalfbb1in___6->n_evalfbb3in___9, Arg_0: 16*Arg_1+8*Arg_0+2 {O(n)}
91: n_evalfbb1in___6->n_evalfbb3in___9, Arg_1: 8*Arg_0 {O(n)}
92: n_evalfbb2in___10->n_evalfbb3in___1, Arg_0: 4*Arg_1 {O(n)}
92: n_evalfbb2in___10->n_evalfbb3in___1, Arg_1: 4*Arg_0 {O(n)}
93: n_evalfbb2in___15->n_evalfbb3in___14, Arg_0: 2*Arg_1 {O(n)}
93: n_evalfbb2in___15->n_evalfbb3in___14, Arg_1: 2*Arg_0 {O(n)}
94: n_evalfbb2in___5->n_evalfbb3in___4, Arg_0: 0 {O(1)}
94: n_evalfbb2in___5->n_evalfbb3in___4, Arg_1: 16*Arg_0 {O(n)}
95: n_evalfbb3in___1->n_evalfbb4in___13, Arg_0: 4*Arg_1 {O(n)}
95: n_evalfbb3in___1->n_evalfbb4in___13, Arg_1: 4*Arg_0 {O(n)}
132: n_evalfbb3in___1->evalfreturnin, Arg_0: 4*Arg_1 {O(n)}
132: n_evalfbb3in___1->evalfreturnin, Arg_1: 4*Arg_0 {O(n)}
96: n_evalfbb3in___14->n_evalfbb4in___13, Arg_0: 2*Arg_1 {O(n)}
96: n_evalfbb3in___14->n_evalfbb4in___13, Arg_1: 2*Arg_0 {O(n)}
134: n_evalfbb3in___4->evalfreturnin, Arg_0: 0 {O(1)}
134: n_evalfbb3in___4->evalfreturnin, Arg_1: 16*Arg_0 {O(n)}
99: n_evalfbb3in___9->n_evalfbb4in___8, Arg_0: 16*Arg_1+8*Arg_0+2 {O(n)}
99: n_evalfbb3in___9->n_evalfbb4in___8, Arg_1: 8*Arg_0 {O(n)}
100: n_evalfbb4in___13->n_evalfbbin___12, Arg_0: 4*Arg_1 {O(n)}
100: n_evalfbb4in___13->n_evalfbbin___12, Arg_1: 4*Arg_0 {O(n)}
101: n_evalfbb4in___13->n_evalfbbin___12, Arg_0: 4*Arg_1 {O(n)}
101: n_evalfbb4in___13->n_evalfbbin___12, Arg_1: 4*Arg_0 {O(n)}
128: n_evalfbb4in___13->evalfreturnin, Arg_0: 6*Arg_1 {O(n)}
128: n_evalfbb4in___13->evalfreturnin, Arg_1: 6*Arg_0 {O(n)}
102: n_evalfbb4in___17->n_evalfbbin___16, Arg_0: Arg_1 {O(n)}
102: n_evalfbb4in___17->n_evalfbbin___16, Arg_1: Arg_0 {O(n)}
103: n_evalfbb4in___17->n_evalfbbin___16, Arg_0: Arg_1 {O(n)}
103: n_evalfbb4in___17->n_evalfbbin___16, Arg_1: Arg_0 {O(n)}
129: n_evalfbb4in___17->evalfreturnin, Arg_0: Arg_1 {O(n)}
129: n_evalfbb4in___17->evalfreturnin, Arg_1: Arg_0 {O(n)}
106: n_evalfbb4in___8->n_evalfbbin___7, Arg_0: 16*Arg_1+8*Arg_0+2 {O(n)}
106: n_evalfbb4in___8->n_evalfbbin___7, Arg_1: 8*Arg_0 {O(n)}
107: n_evalfbb4in___8->n_evalfbbin___7, Arg_0: 16*Arg_1+8*Arg_0+2 {O(n)}
107: n_evalfbb4in___8->n_evalfbbin___7, Arg_1: 8*Arg_0 {O(n)}
131: n_evalfbb4in___8->evalfreturnin, Arg_0: 16*Arg_1+8*Arg_0+2 {O(n)}
131: n_evalfbb4in___8->evalfreturnin, Arg_1: 8*Arg_0 {O(n)}
108: n_evalfbbin___12->n_evalfbb1in___11, Arg_0: 8*Arg_1 {O(n)}
108: n_evalfbbin___12->n_evalfbb1in___11, Arg_1: 8*Arg_0 {O(n)}
109: n_evalfbbin___12->n_evalfbb2in___10, Arg_0: 4*Arg_1 {O(n)}
109: n_evalfbbin___12->n_evalfbb2in___10, Arg_1: 4*Arg_0 {O(n)}
110: n_evalfbbin___16->n_evalfbb2in___15, Arg_0: 2*Arg_1 {O(n)}
110: n_evalfbbin___16->n_evalfbb2in___15, Arg_1: 2*Arg_0 {O(n)}
112: n_evalfbbin___7->n_evalfbb1in___6, Arg_0: 16*Arg_1+8*Arg_0+2 {O(n)}
112: n_evalfbbin___7->n_evalfbb1in___6, Arg_1: 8*Arg_0 {O(n)}
113: n_evalfbbin___7->n_evalfbb2in___5, Arg_0: 16*Arg_0+32*Arg_1+4 {O(n)}
113: n_evalfbbin___7->n_evalfbb2in___5, Arg_1: 16*Arg_0 {O(n)}