Initial Problem

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_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(0,0,Arg_2,Arg_3)
2: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<=Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<Arg_0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1+2,Arg_2,Arg_3):|:Arg_1<Arg_0+1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:1+Arg_0<=Arg_1
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Eliminate variables {Arg_2,Arg_3} that do not contribute to the problem

Found invariant 1<=0 for location eval_foo_stop

Found invariant 1<=0 for location eval_foo_bb3_in

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

Found invariant Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location eval_foo_bb1_in

Cut unsatisfiable transition 17: eval_foo_bb1_in->eval_foo_bb3_in

Cut unsatisfiable transition 20: eval_foo_bb3_in->eval_foo_stop

Cut unreachable locations [eval_foo_bb3_in; eval_foo_stop] from the program graph

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_start
Transitions:
15:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,0)
16:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1
18:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1+2):|:Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_1<Arg_0+1
19:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1):|:Arg_1<=1+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_1
21:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)

Analysing control-flow refined program

Found invariant Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___4

Found invariant Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_foo_bb1_in___2

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

Found invariant Arg_1<=Arg_0 && 2<=Arg_1 && 4<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 2<=Arg_0 for location n_eval_foo_bb2_in___1

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

Found invariant Arg_1<=1+Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 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}
15: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
16: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
18: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
19: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
21: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
15: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
16: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
18: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
19: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
21: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

15: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
15: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
21: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
21: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}