Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1
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_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(3,Arg_1)
2:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:3<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb5_in(Arg_0,Arg_1):|:Arg_0<3
4:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:5<Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb4_in(Arg_0,Arg_1):|:Arg_0<=5
6:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+3,Arg_1)
7:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-2,Arg_1):|:10<Arg_0
8:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1):|:Arg_0<=10
9:eval_foo_bb5_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1)
0:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)

Preprocessing

Cut unsatisfiable transition 7: eval_foo_bb4_in->eval_foo_bb1_in

Eliminate variables {Arg_1} that do not contribute to the problem

Found invariant 1<=0 for location eval_foo_bb5_in

Found invariant 1<=0 for location eval_foo_stop

Found invariant 6<=Arg_0 for location eval_foo_bb3_in

Found invariant 3<=Arg_0 for location eval_foo_bb2_in

Found invariant 3<=Arg_0 for location eval_foo_bb1_in

Found invariant Arg_0<=5 && 3<=Arg_0 for location eval_foo_bb4_in

Cut unsatisfiable transition 22: eval_foo_bb1_in->eval_foo_bb5_in

Cut unsatisfiable transition 27: eval_foo_bb5_in->eval_foo_stop

Cut unreachable locations [eval_foo_bb5_in; eval_foo_stop] from the program graph

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0
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_start
Transitions:
20:eval_foo_bb0_in(Arg_0) -> eval_foo_bb1_in(3)
21:eval_foo_bb1_in(Arg_0) -> eval_foo_bb2_in(Arg_0):|:3<=Arg_0 && 3<=Arg_0
23:eval_foo_bb2_in(Arg_0) -> eval_foo_bb3_in(Arg_0):|:3<=Arg_0 && 5<Arg_0
24:eval_foo_bb2_in(Arg_0) -> eval_foo_bb4_in(Arg_0):|:3<=Arg_0 && Arg_0<=5
25:eval_foo_bb3_in(Arg_0) -> eval_foo_bb1_in(Arg_0+3):|:6<=Arg_0
26:eval_foo_bb4_in(Arg_0) -> eval_foo_bb1_in(Arg_0+1):|:Arg_0<=5 && 3<=Arg_0 && Arg_0<=10
28:eval_foo_start(Arg_0) -> eval_foo_bb0_in(Arg_0)

MPRF for transition 24:eval_foo_bb2_in(Arg_0) -> eval_foo_bb4_in(Arg_0):|:3<=Arg_0 && Arg_0<=5 of depth 1:

new bound:

9 {O(1)}

MPRF:

eval_foo_bb2_in [6-Arg_0 ]
eval_foo_bb3_in [3-Arg_0 ]
eval_foo_bb4_in [5-Arg_0 ]
eval_foo_bb1_in [6-Arg_0 ]

MPRF for transition 26:eval_foo_bb4_in(Arg_0) -> eval_foo_bb1_in(Arg_0+1):|:Arg_0<=5 && 3<=Arg_0 && Arg_0<=10 of depth 1:

new bound:

9 {O(1)}

MPRF:

eval_foo_bb2_in [6-Arg_0 ]
eval_foo_bb3_in [3-Arg_0 ]
eval_foo_bb4_in [6-Arg_0 ]
eval_foo_bb1_in [6-Arg_0 ]

Analysing control-flow refined program

Found invariant Arg_0<=5 && 4<=Arg_0 for location n_eval_foo_bb4_in___7

Found invariant Arg_0<=4 && 4<=Arg_0 for location n_eval_foo_bb1_in___9

Found invariant 9<=Arg_0 for location n_eval_foo_bb2_in___2

Found invariant 9<=Arg_0 for location n_eval_foo_bb3_in___1

Found invariant 9<=Arg_0 for location n_eval_foo_bb1_in___3

Found invariant Arg_0<=4 && 4<=Arg_0 for location n_eval_foo_bb2_in___8

Found invariant Arg_0<=3 && 3<=Arg_0 for location n_eval_foo_bb4_in___10

Found invariant Arg_0<=3 && 3<=Arg_0 for location n_eval_foo_bb2_in___11

Found invariant Arg_0<=6 && 5<=Arg_0 for location n_eval_foo_bb2_in___5

Found invariant Arg_0<=3 && 3<=Arg_0 for location eval_foo_bb1_in

Found invariant Arg_0<=6 && 5<=Arg_0 for location n_eval_foo_bb1_in___6

Found invariant Arg_0<=6 && 6<=Arg_0 for location n_eval_foo_bb3_in___4

MPRF for transition 73:n_eval_foo_bb1_in___6(Arg_0) -> n_eval_foo_bb2_in___5(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && 3<=Arg_0 && 3<=Arg_0 && 4<=Arg_0 && Arg_0<=6 && 3<=Arg_0 of depth 1:

new bound:

10 {O(1)}

MPRF:

n_eval_foo_bb2_in___5 [6-Arg_0 ]
n_eval_foo_bb4_in___7 [6-Arg_0 ]
n_eval_foo_bb1_in___6 [7-Arg_0 ]

MPRF for transition 78:n_eval_foo_bb2_in___5(Arg_0) -> n_eval_foo_bb4_in___7(Arg_0):|:Arg_0<=6 && 5<=Arg_0 && Arg_0<=6 && 4<=Arg_0 && 3<=Arg_0 && Arg_0<=5 of depth 1:

new bound:

10 {O(1)}

MPRF:

n_eval_foo_bb2_in___5 [7-Arg_0 ]
n_eval_foo_bb4_in___7 [6-Arg_0 ]
n_eval_foo_bb1_in___6 [7-Arg_0 ]

MPRF for transition 83:n_eval_foo_bb4_in___7(Arg_0) -> n_eval_foo_bb1_in___6(Arg_0+1):|:Arg_0<=5 && 4<=Arg_0 && Arg_0<=5 && 4<=Arg_0 && 3<=Arg_0 && Arg_0<=5 of depth 1:

new bound:

10 {O(1)}

MPRF:

n_eval_foo_bb2_in___5 [6-Arg_0 ]
n_eval_foo_bb4_in___7 [6-Arg_0 ]
n_eval_foo_bb1_in___6 [6-Arg_0 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
20: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
21: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
23: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
24: eval_foo_bb2_in->eval_foo_bb4_in: 9 {O(1)}
25: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
26: eval_foo_bb4_in->eval_foo_bb1_in: 9 {O(1)}
28: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
20: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
21: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
23: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
24: eval_foo_bb2_in->eval_foo_bb4_in: 9 {O(1)}
25: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
26: eval_foo_bb4_in->eval_foo_bb1_in: 9 {O(1)}
28: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

20: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 3 {O(1)}
24: eval_foo_bb2_in->eval_foo_bb4_in, Arg_0: 5 {O(1)}
26: eval_foo_bb4_in->eval_foo_bb1_in, Arg_0: 6 {O(1)}
28: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}