Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
8:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_4(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5,Arg_6)
9:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<0 && Arg_2<0
10:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<0 && 0<Arg_2
11:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_2 && Arg_2<0
12:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_2 && 0<Arg_2
13:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<0 && Arg_2<=0 && 0<=Arg_2
14:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_2 && Arg_2<=0 && 0<=Arg_2
15:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0-1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0 && 0<=Arg_2 && Arg_2<0
16:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0-1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0 && 0<=Arg_2 && 0<Arg_2
17:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_1-1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0 && 0<=Arg_2 && Arg_2<=0 && 0<=Arg_2
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<=Arg_5
2:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(2*Arg_5,2*Arg_5,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<Arg_5
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
18:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Cut unsatisfiable transition 10: eval_foo_4->eval_foo_bb2_in

Cut unsatisfiable transition 11: eval_foo_4->eval_foo_bb2_in

Cut unsatisfiable transition 13: eval_foo_4->eval_foo_bb2_in

Cut unsatisfiable transition 14: eval_foo_4->eval_foo_bb2_in

Cut unsatisfiable transition 15: eval_foo_4->eval_foo_bb2_in

Cut unsatisfiable transition 16: eval_foo_4->eval_foo_bb2_in

Eliminate variables {Arg_3,Arg_4,Arg_6} that do not contribute to the problem

Found invariant Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 for location eval_foo_bb3_in

Found invariant Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 for location eval_foo_3

Found invariant 0<=Arg_5 for location eval_foo_bb2_in

Found invariant 0<=Arg_5 for location eval_foo_bb1_in

Found invariant Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 for location eval_foo_4

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_5
Temp_Vars: nondef.0
Locations: eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
37:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_4(Arg_0,Arg_1,nondef.0,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0
38:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_2<0 && Arg_2<0
39:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && 0<Arg_2 && 0<Arg_2
40:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(Arg_1-1,Arg_1-1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=0 && 0<=Arg_2
41:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_5
42:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<0
43:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(2*Arg_5,2*Arg_5,Arg_2,Arg_5):|:0<=Arg_5
44:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_5 && Arg_5<=Arg_0
45:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_5 && Arg_0<Arg_5
46:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0
47:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_5)
48:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_5)

MPRF for transition 40:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(Arg_1-1,Arg_1-1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=0 && 0<=Arg_2 of depth 2:

new bound:

32*Arg_5+1 {O(n)}

MPRF:

eval_foo_4 [Arg_1 ; Arg_0 ]
eval_foo_bb2_in [Arg_1 ; Arg_0 ]
eval_foo_bb3_in [Arg_1 ; Arg_0 ]
eval_foo_3 [Arg_1 ; Arg_0 ]

MPRF for transition 37:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_4(Arg_0,Arg_1,nondef.0,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 of depth 1:

new bound:

1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}

MPRF:

eval_foo_4 [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+2 ]
eval_foo_bb3_in [Arg_0+2 ]
eval_foo_3 [Arg_0+2 ]

MPRF for transition 38:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_2<0 && Arg_2<0 of depth 1:

new bound:

1088*Arg_5*Arg_5+132*Arg_5+4 {O(n^2)}

MPRF:

eval_foo_4 [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_3 [Arg_0+1 ]

MPRF for transition 39:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb2_in(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && 0<Arg_2 && 0<Arg_2 of depth 1:

new bound:

1088*Arg_5*Arg_5+132*Arg_5+4 {O(n^2)}

MPRF:

eval_foo_4 [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_3 [Arg_0+1 ]

MPRF for transition 44:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_5 && Arg_5<=Arg_0 of depth 1:

new bound:

1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}

MPRF:

eval_foo_4 [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+2 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_3 [Arg_0+1 ]

MPRF for transition 46:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_5) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 of depth 1:

new bound:

1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}

MPRF:

eval_foo_4 [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+2 ]
eval_foo_bb3_in [Arg_0+2 ]
eval_foo_3 [Arg_0+1 ]

Analysing control-flow refined program

Cut unsatisfiable transition 45: eval_foo_bb2_in->eval_foo_bb4_in

Found invariant 0<=Arg_5 && 0<=Arg_2+Arg_5 && Arg_2<=Arg_5 && Arg_2<=0 && 0<=Arg_2 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location n_eval_foo_bb2_in___7

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_3___10

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_foo_3___2

Found invariant Arg_5<=1+Arg_0 && 0<=Arg_5 && 0<=1+Arg_0+Arg_5 && 0<=1+Arg_0 for location n_eval_foo_bb2_in___8

Found invariant Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 for location n_eval_foo_bb3_in___6

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_4___9

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_foo_bb3_in___3

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb2_in

Found invariant 0<=Arg_5 for location eval_foo_bb1_in

Found invariant Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 for location n_eval_foo_3___5

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_foo_4___1

Found invariant Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 for location n_eval_foo_4___4

Found invariant Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb3_in___11

MPRF for transition 105:n_eval_foo_3___2(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_4___1(Arg_0,Arg_1,NoDet0,Arg_5):|:Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 of depth 1:

new bound:

6*Arg_5+2 {O(n)}

MPRF:

n_eval_foo_4___1 [Arg_0 ]
n_eval_foo_4___4 [Arg_1 ]
n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___8 [Arg_1 ]
n_eval_foo_bb3_in___3 [Arg_0+1 ]
n_eval_foo_3___2 [Arg_1+1 ]
n_eval_foo_bb3_in___6 [Arg_1 ]
n_eval_foo_3___5 [Arg_1 ]

MPRF for transition 107:n_eval_foo_4___1(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb2_in___7(Arg_1-1,Arg_1-1,0,Arg_5):|:Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && Arg_2<=0 && 0<=Arg_2 of depth 1:

new bound:

6*Arg_5+2 {O(n)}

MPRF:

n_eval_foo_4___1 [Arg_0+1 ]
n_eval_foo_4___4 [Arg_1 ]
n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___8 [Arg_1 ]
n_eval_foo_bb3_in___3 [Arg_1+1 ]
n_eval_foo_3___2 [Arg_0+1 ]
n_eval_foo_bb3_in___6 [Arg_1 ]
n_eval_foo_3___5 [Arg_1 ]

MPRF for transition 108:n_eval_foo_4___1(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb2_in___8(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_2<0 of depth 1:

new bound:

6*Arg_5+2 {O(n)}

MPRF:

n_eval_foo_4___1 [Arg_0+1 ]
n_eval_foo_4___4 [Arg_1 ]
n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___8 [Arg_1 ]
n_eval_foo_bb3_in___3 [Arg_1+1 ]
n_eval_foo_3___2 [Arg_0+1 ]
n_eval_foo_bb3_in___6 [Arg_1 ]
n_eval_foo_3___5 [Arg_1 ]

MPRF for transition 109:n_eval_foo_4___1(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb2_in___8(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_5<=Arg_0 && 0<Arg_2 && 0<=Arg_5 of depth 1:

new bound:

6*Arg_5+2 {O(n)}

MPRF:

n_eval_foo_4___1 [Arg_0+1 ]
n_eval_foo_4___4 [Arg_1 ]
n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___8 [Arg_1 ]
n_eval_foo_bb3_in___3 [Arg_1+1 ]
n_eval_foo_3___2 [Arg_0+1 ]
n_eval_foo_bb3_in___6 [Arg_1 ]
n_eval_foo_3___5 [Arg_1 ]

MPRF for transition 117:n_eval_foo_bb2_in___7(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_5):|:0<=Arg_5 && 0<=Arg_2+Arg_5 && Arg_2<=Arg_5 && Arg_2<=0 && 0<=Arg_2 && Arg_1<=Arg_0 && Arg_0<=Arg_1 && 0<=Arg_5 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 of depth 1:

new bound:

6*Arg_5+5 {O(n)}

MPRF:

n_eval_foo_4___1 [Arg_0+1 ]
n_eval_foo_4___4 [Arg_1+1 ]
n_eval_foo_bb2_in___7 [Arg_0+2 ]
n_eval_foo_bb2_in___8 [Arg_1+1 ]
n_eval_foo_bb3_in___3 [Arg_1+1 ]
n_eval_foo_3___2 [Arg_1+1 ]
n_eval_foo_bb3_in___6 [Arg_1+1 ]
n_eval_foo_3___5 [Arg_1+1 ]

MPRF for transition 120:n_eval_foo_bb3_in___3(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_3___2(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_1 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_2+Arg_5 && Arg_2<=Arg_5 && 0<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_2<=0 && 0<=Arg_2 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 of depth 1:

new bound:

6*Arg_5+2 {O(n)}

MPRF:

n_eval_foo_4___1 [Arg_0 ]
n_eval_foo_4___4 [Arg_1 ]
n_eval_foo_bb2_in___7 [Arg_0+1 ]
n_eval_foo_bb2_in___8 [Arg_1 ]
n_eval_foo_bb3_in___3 [Arg_0+1 ]
n_eval_foo_3___2 [Arg_1 ]
n_eval_foo_bb3_in___6 [Arg_1 ]
n_eval_foo_3___5 [Arg_1 ]

MPRF for transition 110:n_eval_foo_4___4(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb2_in___7(Arg_1-1,Arg_1-1,0,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_5 && Arg_5<=Arg_0 && Arg_2<=0 && 0<=Arg_2 of depth 1:

new bound:

12*Arg_5+9 {O(n)}

MPRF:

n_eval_foo_3___2 [2 ]
n_eval_foo_4___1 [2 ]
n_eval_foo_4___4 [2 ]
n_eval_foo_bb2_in___7 [1 ]
n_eval_foo_bb3_in___3 [Arg_0+1-Arg_1 ]
n_eval_foo_bb2_in___8 [2 ]
n_eval_foo_bb3_in___6 [2 ]
n_eval_foo_3___5 [2 ]

MPRF for transition 106:n_eval_foo_3___5(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_4___4(Arg_0,Arg_1,NoDet0,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 of depth 1:

new bound:

336*Arg_5*Arg_5+338*Arg_5+81 {O(n^2)}

MPRF:

n_eval_foo_3___2 [2*Arg_1+1-Arg_0 ]
n_eval_foo_4___1 [Arg_1+1 ]
n_eval_foo_4___4 [Arg_0+1 ]
n_eval_foo_bb2_in___7 [1 ]
n_eval_foo_bb3_in___3 [Arg_1+1-Arg_0 ]
n_eval_foo_bb2_in___8 [Arg_0+2 ]
n_eval_foo_bb3_in___6 [Arg_0+2 ]
n_eval_foo_3___5 [Arg_0+2 ]

MPRF for transition 111:n_eval_foo_4___4(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb2_in___8(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_2<0 of depth 1:

new bound:

336*Arg_5*Arg_5+338*Arg_5+79 {O(n^2)}

MPRF:

n_eval_foo_3___2 [2*Arg_1+1-Arg_0 ]
n_eval_foo_4___1 [Arg_1+1 ]
n_eval_foo_4___4 [Arg_0+1 ]
n_eval_foo_bb2_in___7 [1 ]
n_eval_foo_bb3_in___3 [Arg_1+1-Arg_0 ]
n_eval_foo_bb2_in___8 [Arg_0+1 ]
n_eval_foo_bb3_in___6 [Arg_0+1 ]
n_eval_foo_3___5 [Arg_0+1 ]

MPRF for transition 112:n_eval_foo_4___4(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb2_in___8(Arg_0-1,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && 0<Arg_2 && 0<=Arg_5 of depth 1:

new bound:

336*Arg_5*Arg_5+338*Arg_5+79 {O(n^2)}

MPRF:

n_eval_foo_3___2 [2*Arg_1+1-Arg_0 ]
n_eval_foo_4___1 [Arg_1+1 ]
n_eval_foo_4___4 [Arg_0+1 ]
n_eval_foo_bb2_in___7 [1 ]
n_eval_foo_bb3_in___3 [1 ]
n_eval_foo_bb2_in___8 [Arg_0+1 ]
n_eval_foo_bb3_in___6 [Arg_0+1 ]
n_eval_foo_3___5 [Arg_0+1 ]

MPRF for transition 118:n_eval_foo_bb2_in___8(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=1+Arg_0 && 0<=Arg_5 && 0<=1+Arg_0+Arg_5 && 0<=1+Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 of depth 1:

new bound:

120*Arg_5*Arg_5+134*Arg_5+37 {O(n^2)}

MPRF:

n_eval_foo_3___2 [Arg_0+1 ]
n_eval_foo_4___1 [Arg_0+1 ]
n_eval_foo_4___4 [Arg_0+1 ]
n_eval_foo_bb2_in___7 [1 ]
n_eval_foo_bb3_in___3 [1 ]
n_eval_foo_bb2_in___8 [Arg_0+2 ]
n_eval_foo_bb3_in___6 [Arg_0+1 ]
n_eval_foo_3___5 [Arg_0+1 ]

MPRF for transition 121:n_eval_foo_bb3_in___6(Arg_0,Arg_1,Arg_2,Arg_5) -> n_eval_foo_3___5(Arg_0,Arg_1,Arg_2,Arg_5):|:Arg_5<=Arg_0 && 0<=Arg_5 && 0<=Arg_0+Arg_5 && 0<=Arg_0 && Arg_5<=Arg_0 && 0<=Arg_5 && Arg_5<=Arg_0 && 0<=Arg_5 of depth 1:

new bound:

120*Arg_5*Arg_5+134*Arg_5+37 {O(n^2)}

MPRF:

n_eval_foo_3___2 [Arg_0+1 ]
n_eval_foo_4___1 [Arg_0+1 ]
n_eval_foo_4___4 [Arg_0+1 ]
n_eval_foo_bb2_in___7 [1 ]
n_eval_foo_bb3_in___3 [1 ]
n_eval_foo_bb2_in___8 [Arg_0+2 ]
n_eval_foo_bb3_in___6 [Arg_0+2 ]
n_eval_foo_3___5 [Arg_0+1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:5440*Arg_5*Arg_5+788*Arg_5+33 {O(n^2)}
37: eval_foo_3->eval_foo_4: 1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}
38: eval_foo_4->eval_foo_bb2_in: 1088*Arg_5*Arg_5+132*Arg_5+4 {O(n^2)}
39: eval_foo_4->eval_foo_bb2_in: 1088*Arg_5*Arg_5+132*Arg_5+4 {O(n^2)}
40: eval_foo_4->eval_foo_bb2_in: 32*Arg_5+1 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
42: eval_foo_bb0_in->eval_foo_bb4_in: 1 {O(1)}
43: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
44: eval_foo_bb2_in->eval_foo_bb3_in: 1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}
45: eval_foo_bb2_in->eval_foo_bb4_in: 1 {O(1)}
46: eval_foo_bb3_in->eval_foo_3: 1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}
47: eval_foo_bb4_in->eval_foo_stop: 1 {O(1)}
48: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 5440*Arg_5*Arg_5+788*Arg_5+33 {O(n^2)}
37: eval_foo_3->eval_foo_4: 1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}
38: eval_foo_4->eval_foo_bb2_in: 1088*Arg_5*Arg_5+132*Arg_5+4 {O(n^2)}
39: eval_foo_4->eval_foo_bb2_in: 1088*Arg_5*Arg_5+132*Arg_5+4 {O(n^2)}
40: eval_foo_4->eval_foo_bb2_in: 32*Arg_5+1 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
42: eval_foo_bb0_in->eval_foo_bb4_in: 1 {O(1)}
43: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
44: eval_foo_bb2_in->eval_foo_bb3_in: 1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}
45: eval_foo_bb2_in->eval_foo_bb4_in: 1 {O(1)}
46: eval_foo_bb3_in->eval_foo_3: 1088*Arg_5*Arg_5+164*Arg_5+6 {O(n^2)}
47: eval_foo_bb4_in->eval_foo_stop: 1 {O(1)}
48: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

37: eval_foo_3->eval_foo_4, Arg_0: 36*Arg_5+3 {O(n)}
37: eval_foo_3->eval_foo_4, Arg_1: 34*Arg_5+1 {O(n)}
37: eval_foo_3->eval_foo_4, Arg_5: Arg_5 {O(n)}
38: eval_foo_4->eval_foo_bb2_in, Arg_0: 36*Arg_5+3 {O(n)}
38: eval_foo_4->eval_foo_bb2_in, Arg_1: 34*Arg_5+1 {O(n)}
38: eval_foo_4->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
39: eval_foo_4->eval_foo_bb2_in, Arg_0: 36*Arg_5+3 {O(n)}
39: eval_foo_4->eval_foo_bb2_in, Arg_1: 34*Arg_5+1 {O(n)}
39: eval_foo_4->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
40: eval_foo_4->eval_foo_bb2_in, Arg_0: 34*Arg_5+2 {O(n)}
40: eval_foo_4->eval_foo_bb2_in, Arg_1: 34*Arg_5+1 {O(n)}
40: eval_foo_4->eval_foo_bb2_in, Arg_2: 0 {O(1)}
40: eval_foo_4->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_0 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
42: eval_foo_bb0_in->eval_foo_bb4_in, Arg_0: Arg_0 {O(n)}
42: eval_foo_bb0_in->eval_foo_bb4_in, Arg_1: Arg_1 {O(n)}
42: eval_foo_bb0_in->eval_foo_bb4_in, Arg_2: Arg_2 {O(n)}
42: eval_foo_bb0_in->eval_foo_bb4_in, Arg_5: Arg_5 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 2*Arg_5 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_5 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
44: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: 36*Arg_5+3 {O(n)}
44: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 34*Arg_5+1 {O(n)}
44: eval_foo_bb2_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
45: eval_foo_bb2_in->eval_foo_bb4_in, Arg_0: 106*Arg_5+8 {O(n)}
45: eval_foo_bb2_in->eval_foo_bb4_in, Arg_1: 102*Arg_5+3 {O(n)}
45: eval_foo_bb2_in->eval_foo_bb4_in, Arg_5: 3*Arg_5 {O(n)}
46: eval_foo_bb3_in->eval_foo_3, Arg_0: 36*Arg_5+3 {O(n)}
46: eval_foo_bb3_in->eval_foo_3, Arg_1: 34*Arg_5+1 {O(n)}
46: eval_foo_bb3_in->eval_foo_3, Arg_5: Arg_5 {O(n)}
47: eval_foo_bb4_in->eval_foo_stop, Arg_0: 106*Arg_5+Arg_0+8 {O(n)}
47: eval_foo_bb4_in->eval_foo_stop, Arg_1: 102*Arg_5+Arg_1+3 {O(n)}
47: eval_foo_bb4_in->eval_foo_stop, Arg_5: 4*Arg_5 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}