Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3,Arg_4)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_0<0 && Arg_1<0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_0<0 && 0<Arg_1
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3,Arg_4):|:0<Arg_0 && Arg_1<0
5:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3,Arg_4):|:0<Arg_0 && 0<Arg_1
6:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=0 && 0<=Arg_0
7:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=0 && 0<=Arg_1
8:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

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

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_start, eval_foo_stop
Transitions:
37:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
38:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3):|:Arg_0<0 && Arg_1<0
39:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3):|:Arg_0<0 && 0<Arg_1
40:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3):|:0<Arg_0 && Arg_1<0
41:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3):|:0<Arg_0 && 0<Arg_1
42:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0 && 0<=Arg_0
43:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && 0<=Arg_1
44:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
45:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Analysing control-flow refined program

Found invariant 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___1

Found invariant Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 for location eval_foo_stop

Found invariant Arg_3<=Arg_0 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_1<=Arg_2 && 1+Arg_1<=0 && 2+Arg_1<=Arg_0 && 1<=Arg_0 for location n_eval_foo_bb1_in___3

Found invariant 1+Arg_3<=0 && 2+Arg_2+Arg_3<=0 && 2+Arg_1+Arg_3<=0 && 2+Arg_0+Arg_3<=0 && 1+Arg_2<=0 && 2+Arg_1+Arg_2<=0 && 2+Arg_0+Arg_2<=0 && 1+Arg_1<=0 && 2+Arg_0+Arg_1<=0 && 1+Arg_0<=0 for location n_eval_foo_bb1_in___4

Found invariant Arg_3<=Arg_1 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_0<=Arg_2 && 1<=Arg_1 && 2+Arg_0<=Arg_1 && 1+Arg_0<=0 for location n_eval_foo_bb1_in___2

Found invariant Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 for location eval_foo_bb2_in

Found invariant Arg_3<=Arg_1 && Arg_1<=Arg_3 && Arg_2<=Arg_0 && Arg_0<=Arg_2 for location eval_foo_bb1_in

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
37: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
38: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
39: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
40: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
41: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
42: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
43: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
44: eval_foo_bb2_in->eval_foo_stop: 1 {O(1)}
45: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
37: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
38: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
39: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
40: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
41: eval_foo_bb1_in->eval_foo_bb1_in: inf {Infinity}
42: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
43: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
44: eval_foo_bb2_in->eval_foo_stop: 1 {O(1)}
45: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

37: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_2 {O(n)}
37: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_3 {O(n)}
37: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
37: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
38: eval_foo_bb1_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
38: eval_foo_bb1_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
38: eval_foo_bb1_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
38: eval_foo_bb1_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
39: eval_foo_bb1_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
39: eval_foo_bb1_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
39: eval_foo_bb1_in->eval_foo_bb1_in, Arg_2: 2*Arg_2 {O(n)}
39: eval_foo_bb1_in->eval_foo_bb1_in, Arg_3: 2*Arg_3 {O(n)}
40: eval_foo_bb1_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
40: eval_foo_bb1_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
40: eval_foo_bb1_in->eval_foo_bb1_in, Arg_2: 2*Arg_2 {O(n)}
40: eval_foo_bb1_in->eval_foo_bb1_in, Arg_3: 2*Arg_3 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
41: eval_foo_bb1_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
42: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 0 {O(1)}
42: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_3 {O(n)}
42: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
42: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_2 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 0 {O(1)}
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_3: Arg_3 {O(n)}
44: eval_foo_bb2_in->eval_foo_stop, Arg_0: Arg_2 {O(n)}
44: eval_foo_bb2_in->eval_foo_stop, Arg_1: Arg_3 {O(n)}
44: eval_foo_bb2_in->eval_foo_stop, Arg_2: 2*Arg_2 {O(n)}
44: eval_foo_bb2_in->eval_foo_stop, Arg_3: 2*Arg_3 {O(n)}
45: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
45: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
45: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
45: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}