Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
6:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_1(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5)
7:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0-Arg_2-1,Arg_0-Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5)
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_3,Arg_4,Arg_2,Arg_3,Arg_4,Arg_5)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

Preprocessing

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

Found invariant 1<=Arg_1 for location eval_foo_0

Found invariant Arg_1<=0 for location eval_foo_stop

Found invariant Arg_1<=0 for location eval_foo_bb3_in

Found invariant 1<=Arg_1 for location eval_foo_bb2_in

Found invariant 1<=Arg_1 for location eval_foo_1

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
17: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):|:1<=Arg_1
18:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0-Arg_2-1,Arg_0-Arg_2-1,Arg_2,Arg_3,Arg_4):|:1<=Arg_1
19:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_3,Arg_4,Arg_2,Arg_3,Arg_4)
20: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):|:0<Arg_1
21: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_1<=0
22:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_1
23: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_1<=0
24: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_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1<=Arg_1 for location n_eval_foo_bb2_in___7

Found invariant 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_1___1

Found invariant Arg_1<=Arg_4 && Arg_1<=0 for location eval_foo_stop

Found invariant 1<=Arg_4 for location n_eval_foo_bb1_in___4

Found invariant Arg_1<=Arg_4 && Arg_1<=0 for location eval_foo_bb3_in

Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1<=Arg_1 for location n_eval_foo_1___5

Found invariant 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_0___2

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

Found invariant 1<=Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && 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___3

Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && 1<=Arg_1 for location n_eval_foo_0___6

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
17: eval_foo_0->eval_foo_1: inf {Infinity}
18: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
19: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
20: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
21: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
22: eval_foo_bb2_in->eval_foo_0: inf {Infinity}
23: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
24: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
17: eval_foo_0->eval_foo_1: inf {Infinity}
18: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
19: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
20: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
21: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
22: eval_foo_bb2_in->eval_foo_0: inf {Infinity}
23: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
24: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

17: eval_foo_0->eval_foo_1, Arg_3: Arg_3 {O(n)}
17: eval_foo_0->eval_foo_1, Arg_4: Arg_4 {O(n)}
18: eval_foo_1->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
18: eval_foo_1->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
19: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_3 {O(n)}
19: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_4 {O(n)}
19: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
19: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
19: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
20: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
20: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
21: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_3 {O(n)}
21: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 2*Arg_4 {O(n)}
22: eval_foo_bb2_in->eval_foo_0, Arg_3: Arg_3 {O(n)}
22: eval_foo_bb2_in->eval_foo_0, Arg_4: Arg_4 {O(n)}
23: eval_foo_bb3_in->eval_foo_stop, Arg_3: 2*Arg_3 {O(n)}
23: eval_foo_bb3_in->eval_foo_stop, Arg_4: 2*Arg_4 {O(n)}
24: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
24: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
24: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
24: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
24: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}