Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb1_in(Arg_7,Arg_8,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:0<Arg_0 && 0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_1,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_1,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:Arg_1<=0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb1_in(Arg_0-1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8)
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:0<Arg_2
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:Arg_2<=0
8:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_2,Arg_3+1,Arg_6,Arg_7,Arg_8)
10:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:Arg_4<=0
11:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:Arg_5<=0
9:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8):|:0<Arg_4 && 0<Arg_5
12:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5-1,Arg_6,Arg_7,Arg_8)
13:eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8)

Preprocessing

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

Found invariant Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_foo_bb5_in

Found invariant Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=0 && Arg_2<=Arg_0 for location eval_foo_bb7_in

Found invariant Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=0 && Arg_2<=Arg_0 for location eval_foo_stop

Found invariant Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 for location eval_foo_bb3_in

Found invariant 1<=Arg_8 && 2<=Arg_7+Arg_8 && 2<=Arg_1+Arg_8 && Arg_1<=Arg_8 && 2<=Arg_0+Arg_8 && 1<=Arg_7 && 2<=Arg_1+Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb2_in

Found invariant Arg_1<=Arg_8 && Arg_0<=Arg_7 for location eval_foo_bb1_in

Found invariant Arg_1<=Arg_8 && 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 1<=Arg_3+Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_foo_bb6_in

Found invariant Arg_1<=Arg_8 && 1<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_7, Arg_8
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
28:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb1_in(Arg_7,Arg_8,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8)
29:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_0<=Arg_7 && 0<Arg_0 && 0<Arg_1
30:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_1,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_0<=Arg_7 && Arg_0<=0
31:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_1,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_0<=Arg_7 && Arg_1<=0
32:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb1_in(Arg_0-1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:1<=Arg_8 && 2<=Arg_7+Arg_8 && 2<=Arg_1+Arg_8 && Arg_1<=Arg_8 && 2<=Arg_0+Arg_8 && 1<=Arg_7 && 2<=Arg_1+Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
33:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 && 0<Arg_2
34:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 && Arg_2<=0
35:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_2,Arg_3+1,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0
37:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_4<=0
38:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_5<=0
36:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 && 0<Arg_4 && 0<Arg_5
39:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5-1,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 1<=Arg_3+Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0
40:eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=0 && Arg_2<=Arg_0
41:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8)

MPRF for transition 29:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_0<=Arg_7 && 0<Arg_0 && 0<Arg_1 of depth 1:

new bound:

Arg_8 {O(n)}

MPRF:

eval_foo_bb2_in [Arg_1-1 ]
eval_foo_bb1_in [Arg_1 ]

MPRF for transition 32:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb1_in(Arg_0-1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:1<=Arg_8 && 2<=Arg_7+Arg_8 && 2<=Arg_1+Arg_8 && Arg_1<=Arg_8 && 2<=Arg_0+Arg_8 && 1<=Arg_7 && 2<=Arg_1+Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_7 {O(n)}

MPRF:

eval_foo_bb2_in [Arg_0 ]
eval_foo_bb1_in [Arg_0 ]

MPRF for transition 36:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 && 0<Arg_4 && 0<Arg_5 of depth 1:

new bound:

2*Arg_7+1 {O(n)}

MPRF:

eval_foo_bb4_in [Arg_2+1 ]
eval_foo_bb3_in [Arg_2+1 ]
eval_foo_bb6_in [Arg_4 ]
eval_foo_bb5_in [Arg_4+1 ]

MPRF for transition 37:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_4<=0 of depth 1:

new bound:

2*Arg_7+1 {O(n)}

MPRF:

eval_foo_bb4_in [Arg_2+1 ]
eval_foo_bb3_in [Arg_2+1 ]
eval_foo_bb6_in [Arg_2+1 ]
eval_foo_bb5_in [Arg_2+1 ]

MPRF for transition 38:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4,Arg_5,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 1<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_5<=0 of depth 1:

new bound:

2*Arg_7+2*Arg_8 {O(n)}

MPRF:

eval_foo_bb4_in [Arg_2-Arg_3 ]
eval_foo_bb3_in [Arg_2-Arg_3 ]
eval_foo_bb6_in [Arg_4+1-Arg_5 ]
eval_foo_bb5_in [Arg_4+1-Arg_5 ]

MPRF for transition 39:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5-1,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 1<=Arg_3+Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_5<=1+Arg_3 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_7 {O(n)}

MPRF:

eval_foo_bb4_in [Arg_2 ]
eval_foo_bb3_in [Arg_2 ]
eval_foo_bb6_in [Arg_4 ]
eval_foo_bb5_in [Arg_4 ]

knowledge_propagation leads to new time bound 2*Arg_7+2*Arg_8+1 {O(n)} for transition 33:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8):|:Arg_1<=Arg_8 && Arg_2<=Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 && 0<Arg_2

knowledge_propagation leads to new time bound 2*Arg_7+2*Arg_8+1 {O(n)} for transition 35:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_7,Arg_8) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_2,Arg_3+1,Arg_7,Arg_8):|:Arg_1<=Arg_8 && 1<=Arg_7 && 2<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 2<=Arg_0+Arg_7 && Arg_0<=Arg_7 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_0

All Bounds

Timebounds

Overall timebound:13*Arg_7+7*Arg_8+10 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
29: eval_foo_bb1_in->eval_foo_bb2_in: Arg_8 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
31: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
32: eval_foo_bb2_in->eval_foo_bb1_in: Arg_7 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in: 2*Arg_7+2*Arg_8+1 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in: 1 {O(1)}
35: eval_foo_bb4_in->eval_foo_bb5_in: 2*Arg_7+2*Arg_8+1 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in: 2*Arg_7+1 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in: 2*Arg_7+1 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in: 2*Arg_7+2*Arg_8 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in: 2*Arg_7 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop: 1 {O(1)}
41: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 13*Arg_7+7*Arg_8+10 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
29: eval_foo_bb1_in->eval_foo_bb2_in: Arg_8 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
31: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
32: eval_foo_bb2_in->eval_foo_bb1_in: Arg_7 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in: 2*Arg_7+2*Arg_8+1 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in: 1 {O(1)}
35: eval_foo_bb4_in->eval_foo_bb5_in: 2*Arg_7+2*Arg_8+1 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in: 2*Arg_7+1 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in: 2*Arg_7+1 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in: 2*Arg_7+2*Arg_8 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in: 2*Arg_7 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop: 1 {O(1)}
41: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_7 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_8 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_7: Arg_7 {O(n)}
28: eval_foo_bb0_in->eval_foo_bb1_in, Arg_8: Arg_8 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_7 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_8 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_7: Arg_7 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb2_in, Arg_8: Arg_8 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 2*Arg_7 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 2*Arg_8 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: 2*Arg_7 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_8 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 2*Arg_4 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: 2*Arg_5 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_7: 2*Arg_7 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_8: 2*Arg_8 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 2*Arg_7 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 2*Arg_8 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: 2*Arg_7 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_8 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 2*Arg_4 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: 2*Arg_5 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_7: 2*Arg_7 {O(n)}
31: eval_foo_bb1_in->eval_foo_bb3_in, Arg_8: 2*Arg_8 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: Arg_7 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_8 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_7: Arg_7 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_8: Arg_8 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_0: 2*Arg_7 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_1: 2*Arg_8 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_2: 2*Arg_7 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_3: 2*Arg_7+4*Arg_8+1 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_4: 2*Arg_4+4*Arg_7 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_5: 2*Arg_5+4*Arg_7+8*Arg_8+2 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_7: 2*Arg_7 {O(n)}
33: eval_foo_bb3_in->eval_foo_bb4_in, Arg_8: 2*Arg_8 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_0: 8*Arg_7 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_1: 8*Arg_8 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_2: 6*Arg_7 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_3: 12*Arg_8+4*Arg_7+2 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_4: 4*Arg_4+4*Arg_7 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_5: 12*Arg_8+4*Arg_5+6*Arg_7+3 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_7: 8*Arg_7 {O(n)}
34: eval_foo_bb3_in->eval_foo_bb7_in, Arg_8: 8*Arg_8 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_0: 2*Arg_7 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_1: 2*Arg_8 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_2: 2*Arg_7 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_3: 2*Arg_7+4*Arg_8+1 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_4: 2*Arg_7 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_5: 2*Arg_7+4*Arg_8+1 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_7: 2*Arg_7 {O(n)}
35: eval_foo_bb4_in->eval_foo_bb5_in, Arg_8: 2*Arg_8 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_0: 2*Arg_7 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_1: 2*Arg_8 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_2: 2*Arg_7 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_3: 2*Arg_7+4*Arg_8+1 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_4: 2*Arg_7 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_5: 2*Arg_7+4*Arg_8+1 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_7: 2*Arg_7 {O(n)}
36: eval_foo_bb5_in->eval_foo_bb6_in, Arg_8: 2*Arg_8 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_0: 2*Arg_7 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_1: 2*Arg_8 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_2: 0 {O(1)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_3: 2*Arg_7+4*Arg_8+1 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_4: 0 {O(1)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_5: 2*Arg_7+4*Arg_8+1 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_7: 2*Arg_7 {O(n)}
37: eval_foo_bb5_in->eval_foo_bb3_in, Arg_8: 2*Arg_8 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_0: 2*Arg_7 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_1: 2*Arg_8 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_2: 2*Arg_7 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_3: 2*Arg_7+4*Arg_8+1 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_4: 4*Arg_7 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_5: 4*Arg_7+8*Arg_8+2 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_7: 2*Arg_7 {O(n)}
38: eval_foo_bb5_in->eval_foo_bb3_in, Arg_8: 2*Arg_8 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_0: 2*Arg_7 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_1: 2*Arg_8 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_2: 2*Arg_7 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_3: 2*Arg_7+4*Arg_8+1 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_4: 2*Arg_7 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_5: 2*Arg_7+4*Arg_8+1 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_7: 2*Arg_7 {O(n)}
39: eval_foo_bb6_in->eval_foo_bb5_in, Arg_8: 2*Arg_8 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_0: 8*Arg_7 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_1: 8*Arg_8 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_2: 6*Arg_7 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_3: 12*Arg_8+4*Arg_7+2 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_4: 4*Arg_4+4*Arg_7 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_5: 12*Arg_8+4*Arg_5+6*Arg_7+3 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_7: 8*Arg_7 {O(n)}
40: eval_foo_bb7_in->eval_foo_stop, Arg_8: 8*Arg_8 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_7: Arg_7 {O(n)}
41: eval_foo_start->eval_foo_bb0_in, Arg_8: Arg_8 {O(n)}