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_3,Arg_4,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_1<Arg_0
3: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<=Arg_1
4: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_2} that do not contribute to the problem

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

Found invariant Arg_4<=Arg_1 && Arg_0<=Arg_3 && Arg_0<=Arg_1 for location eval_foo_bb2_in

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

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, 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:
11:eval_foo_bb0_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_3,Arg_4,Arg_3,Arg_4)
12:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_3,Arg_4):|:Arg_4<=Arg_1 && Arg_0<=Arg_3 && Arg_1<Arg_0
13:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4):|:Arg_4<=Arg_1 && Arg_0<=Arg_3 && Arg_0<=Arg_1
14:eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_3,Arg_4):|:Arg_4<=Arg_1 && Arg_0<=Arg_3 && Arg_0<=Arg_1
15:eval_foo_start(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_3,Arg_4)

knowledge_propagation leads to new time bound 1 {O(1)} for transition 12:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_3,Arg_4):|:Arg_4<=Arg_1 && Arg_0<=Arg_3 && Arg_1<Arg_0

All Bounds

Timebounds

Overall timebound:5 {O(1)}
11: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
12: eval_foo_bb1_in->eval_foo_bb1_in: 1 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
14: eval_foo_bb2_in->eval_foo_stop: 1 {O(1)}
15: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 5 {O(1)}
11: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
12: eval_foo_bb1_in->eval_foo_bb1_in: 1 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
14: eval_foo_bb2_in->eval_foo_stop: 1 {O(1)}
15: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

11: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_3 {O(n)}
11: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_4 {O(n)}
11: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
11: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
12: eval_foo_bb1_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
12: eval_foo_bb1_in->eval_foo_bb1_in, Arg_1: Arg_3 {O(n)}
12: eval_foo_bb1_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
12: eval_foo_bb1_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_3+Arg_4 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_3+Arg_4 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: 2*Arg_3 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: 2*Arg_4 {O(n)}
14: eval_foo_bb2_in->eval_foo_stop, Arg_0: Arg_3+Arg_4 {O(n)}
14: eval_foo_bb2_in->eval_foo_stop, Arg_1: Arg_3+Arg_4 {O(n)}
14: eval_foo_bb2_in->eval_foo_stop, Arg_3: 2*Arg_3 {O(n)}
14: eval_foo_bb2_in->eval_foo_stop, Arg_4: 2*Arg_4 {O(n)}
15: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
15: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
15: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
15: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}