Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
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_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_1,Arg_1,Arg_2)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_0<0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2):|:0<Arg_0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=0 && 0<=Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_0+5<0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2):|:0<=5+Arg_0
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(1-Arg_0,Arg_1,Arg_2)
9:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(0,Arg_1,Arg_2):|:Arg_0<=5
8:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2):|:5<Arg_0
10:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(-Arg_0-1,Arg_1,Arg_2)
11:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2) -> eval_foo_stop(Arg_0,Arg_1,Arg_2)
0:eval_foo_start(Arg_0,Arg_1,Arg_2) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2)

Preprocessing

Eliminate variables {Arg_2} that do not contribute to the problem

Found invariant 6<=Arg_0 for location eval_foo_bb5_in

Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_stop

Found invariant 6+Arg_0<=0 for location eval_foo_bb3_in

Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb6_in

Found invariant 0<=5+Arg_0 for location eval_foo_bb4_in

Problem after Preprocessing

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_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
25:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_1,Arg_1)
26:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_0<0
27:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:0<Arg_0
28:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb6_in(Arg_0,Arg_1):|:Arg_0<=0 && 0<=Arg_0
29:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:Arg_0+5<0
30:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb4_in(Arg_0,Arg_1):|:0<=5+Arg_0
31:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_bb1_in(1-Arg_0,Arg_1):|:6+Arg_0<=0
33:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,Arg_1):|:0<=5+Arg_0 && Arg_0<=5
32:eval_foo_bb4_in(Arg_0,Arg_1) -> eval_foo_bb5_in(Arg_0,Arg_1):|:0<=5+Arg_0 && 5<Arg_0
34:eval_foo_bb5_in(Arg_0,Arg_1) -> eval_foo_bb1_in(-Arg_0-1,Arg_1):|:6<=Arg_0
35:eval_foo_bb6_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1):|:Arg_0<=0 && 0<=Arg_0
36:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)

Analysing control-flow refined program

Cut unsatisfiable transition 142: n_eval_foo_bb1_in___10->eval_foo_bb6_in

Cut unsatisfiable transition 144: n_eval_foo_bb1_in___6->eval_foo_bb6_in

Found invariant 1+Arg_1<=0 && Arg_1<=Arg_0 && 2+Arg_0+Arg_1<=0 && 0<=5+Arg_1 && 0<=10+Arg_0+Arg_1 && Arg_0<=Arg_1 && 1+Arg_0<=0 && 0<=5+Arg_0 for location n_eval_foo_bb4_in___11

Found invariant Arg_1<=Arg_0 && 6<=Arg_1 && 12<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 6<=Arg_0 for location n_eval_foo_bb5_in___1

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___13

Found invariant Arg_1<=5 && Arg_1<=5+Arg_0 && Arg_0+Arg_1<=5 && 0<=5+Arg_1 && 0<=5+Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=0 && 0<=Arg_0 for location eval_foo_stop

Found invariant Arg_1<=5 && Arg_1<=5+Arg_0 && Arg_0+Arg_1<=5 && 0<=5+Arg_1 && 0<=5+Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb1_in___3

Found invariant 6+Arg_1<=0 && Arg_1<=Arg_0 && 12+Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && 6+Arg_0<=0 for location n_eval_foo_bb3_in___12

Found invariant 1+Arg_1<=0 && Arg_1<=Arg_0 && 2+Arg_0+Arg_1<=0 && Arg_0<=Arg_1 && 1+Arg_0<=0 for location n_eval_foo_bb2_in___14

Found invariant 2+Arg_1<=Arg_0 && 7<=Arg_0 for location n_eval_foo_bb1_in___10

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb4_in___2

Found invariant 1+Arg_0+Arg_1<=0 && 7+Arg_0<=0 for location n_eval_foo_bb2_in___5

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

Found invariant 2+Arg_1<=Arg_0 && 7<=Arg_0 for location n_eval_foo_bb2_in___9

Found invariant Arg_1<=5 && Arg_1<=5+Arg_0 && Arg_0+Arg_1<=5 && 0<=5+Arg_1 && 0<=5+Arg_0+Arg_1 && Arg_0<=5+Arg_1 && Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb6_in

Found invariant 1+Arg_0+Arg_1<=0 && 7+Arg_0<=0 for location n_eval_foo_bb1_in___6

Found invariant 1+Arg_0+Arg_1<=0 && 7+Arg_0<=0 for location n_eval_foo_bb3_in___4

Found invariant 2+Arg_1<=Arg_0 && 7<=Arg_0 for location n_eval_foo_bb4_in___8

Found invariant 2+Arg_1<=Arg_0 && 7<=Arg_0 for location n_eval_foo_bb5_in___7

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
25: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
26: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
27: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
28: eval_foo_bb1_in->eval_foo_bb6_in: 1 {O(1)}
29: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
30: eval_foo_bb2_in->eval_foo_bb4_in: inf {Infinity}
31: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
32: eval_foo_bb4_in->eval_foo_bb5_in: inf {Infinity}
33: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
34: eval_foo_bb5_in->eval_foo_bb1_in: inf {Infinity}
35: eval_foo_bb6_in->eval_foo_stop: 1 {O(1)}
36: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
25: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
26: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
27: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
28: eval_foo_bb1_in->eval_foo_bb6_in: 1 {O(1)}
29: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
30: eval_foo_bb2_in->eval_foo_bb4_in: inf {Infinity}
31: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
32: eval_foo_bb4_in->eval_foo_bb5_in: inf {Infinity}
33: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
34: eval_foo_bb5_in->eval_foo_bb1_in: inf {Infinity}
35: eval_foo_bb6_in->eval_foo_stop: 1 {O(1)}
36: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

25: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_1 {O(n)}
25: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_1 {O(n)}
27: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_1 {O(n)}
28: eval_foo_bb1_in->eval_foo_bb6_in, Arg_0: 0 {O(1)}
28: eval_foo_bb1_in->eval_foo_bb6_in, Arg_1: 3*Arg_1 {O(n)}
29: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 2*Arg_1 {O(n)}
30: eval_foo_bb2_in->eval_foo_bb4_in, Arg_1: 2*Arg_1 {O(n)}
31: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
32: eval_foo_bb4_in->eval_foo_bb5_in, Arg_1: 2*Arg_1 {O(n)}
33: eval_foo_bb4_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
33: eval_foo_bb4_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
34: eval_foo_bb5_in->eval_foo_bb1_in, Arg_1: 2*Arg_1 {O(n)}
35: eval_foo_bb6_in->eval_foo_stop, Arg_0: 0 {O(1)}
35: eval_foo_bb6_in->eval_foo_stop, Arg_1: 3*Arg_1 {O(n)}
36: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
36: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}