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, nondef.1
Locations: eval_foo_0, eval_foo_1, eval_foo_2, eval_foo_3, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
3:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5,Arg_6)
4:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_2(Arg_0,Arg_1,Arg_2,-Arg_2,Arg_4,Arg_5,Arg_6)
6:eval_foo_2(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,nondef.1,Arg_5,Arg_6)
7:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_3,-Arg_4,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
8:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<Arg_0
9:eval_foo_bb1_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_0<=Arg_1
10:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
11:eval_foo_bb3_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

Eliminate variables {Arg_5,Arg_6} that do not contribute to the problem

Found invariant Arg_2+Arg_3<=0 && 0<=Arg_2+Arg_3 for location eval_foo_2

Found invariant Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_1 for location eval_foo_stop

Found invariant Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_1 for location eval_foo_bb3_in

Found invariant Arg_2+Arg_3<=0 && 0<=Arg_2+Arg_3 for location eval_foo_3

Found invariant Arg_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 for location eval_foo_bb2_in

Found invariant Arg_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_0+Arg_2 for location eval_foo_bb1_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0, nondef.1
Locations: eval_foo_0, eval_foo_1, eval_foo_2, eval_foo_3, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
22:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_1(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4)
23:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_2(Arg_0,Arg_1,Arg_2,-Arg_2,Arg_4)
24:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,nondef.1):|:Arg_2+Arg_3<=0 && 0<=Arg_2+Arg_3
25:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_3,-Arg_4,Arg_2,Arg_3,Arg_4):|:Arg_2+Arg_3<=0 && 0<=Arg_2+Arg_3
26:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
27: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_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_0+Arg_2 && Arg_1<Arg_0
28:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_1
29:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0+1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0
30:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_1
31: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)

Analysing control-flow refined program

Found invariant Arg_2+Arg_3<=0 && 0<=Arg_2+Arg_3 for location eval_foo_2

Found invariant 0<=Arg_1+Arg_4 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_1 for location eval_foo_stop

Found invariant 0<=Arg_1+Arg_4 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_1 for location eval_foo_bb3_in

Found invariant Arg_2+Arg_3<=0 && 0<=Arg_2+Arg_3 for location eval_foo_3

Found invariant 1<=Arg_3+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_2 for location n_eval_foo_bb1_in___2

Found invariant 1<=Arg_3+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 for location n_eval_foo_bb2_in___1

Found invariant Arg_1+Arg_4<=0 && 0<=Arg_1+Arg_4 && Arg_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && Arg_0<=Arg_3 && Arg_0+Arg_2<=0 && 0<=Arg_0+Arg_2 for location eval_foo_bb1_in

Found invariant Arg_1+Arg_4<=0 && 1<=Arg_3+Arg_4 && 1+Arg_2<=Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && Arg_2+Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_2+Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=Arg_3 && 1+Arg_1+Arg_2<=0 && Arg_0+Arg_2<=0 && 0<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 for location n_eval_foo_bb2_in___3

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
22: eval_foo_0->eval_foo_1: 1 {O(1)}
23: eval_foo_1->eval_foo_2: 1 {O(1)}
24: eval_foo_2->eval_foo_3: 1 {O(1)}
25: eval_foo_3->eval_foo_bb1_in: 1 {O(1)}
26: eval_foo_bb0_in->eval_foo_0: 1 {O(1)}
27: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
28: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
29: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
30: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
31: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
22: eval_foo_0->eval_foo_1: 1 {O(1)}
23: eval_foo_1->eval_foo_2: 1 {O(1)}
24: eval_foo_2->eval_foo_3: 1 {O(1)}
25: eval_foo_3->eval_foo_bb1_in: 1 {O(1)}
26: eval_foo_bb0_in->eval_foo_0: 1 {O(1)}
27: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
28: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
29: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
30: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
31: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

22: eval_foo_0->eval_foo_1, Arg_0: Arg_0 {O(n)}
22: eval_foo_0->eval_foo_1, Arg_1: Arg_1 {O(n)}
22: eval_foo_0->eval_foo_1, Arg_3: Arg_3 {O(n)}
22: eval_foo_0->eval_foo_1, Arg_4: Arg_4 {O(n)}
23: eval_foo_1->eval_foo_2, Arg_0: Arg_0 {O(n)}
23: eval_foo_1->eval_foo_2, Arg_1: Arg_1 {O(n)}
23: eval_foo_1->eval_foo_2, Arg_4: Arg_4 {O(n)}
24: eval_foo_2->eval_foo_3, Arg_0: Arg_0 {O(n)}
24: eval_foo_2->eval_foo_3, Arg_1: Arg_1 {O(n)}
26: eval_foo_bb0_in->eval_foo_0, Arg_0: Arg_0 {O(n)}
26: eval_foo_bb0_in->eval_foo_0, Arg_1: Arg_1 {O(n)}
26: eval_foo_bb0_in->eval_foo_0, Arg_2: Arg_2 {O(n)}
26: eval_foo_bb0_in->eval_foo_0, Arg_3: Arg_3 {O(n)}
26: eval_foo_bb0_in->eval_foo_0, Arg_4: Arg_4 {O(n)}
31: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
31: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
31: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
31: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
31: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}