Initial Problem

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

Preprocessing

Eliminate variables {Arg_1} that do not contribute to the problem

Found invariant 1+Arg_0<=0 && 0<=1+Arg_0 for location eval_foo_stop

Found invariant 1+Arg_0<=0 && 0<=1+Arg_0 for location eval_foo_bb3_in

Found invariant Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb2_in

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

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0
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:
12:eval_foo_bb0_in(Arg_0) -> eval_foo_bb1_in(0)
13:eval_foo_bb1_in(Arg_0) -> eval_foo_bb2_in(Arg_0):|:Arg_0<=0 && 0<=1+Arg_0 && 0<=Arg_0
14:eval_foo_bb1_in(Arg_0) -> eval_foo_bb3_in(Arg_0):|:Arg_0<=0 && 0<=1+Arg_0 && Arg_0<0
15:eval_foo_bb2_in(Arg_0) -> eval_foo_bb1_in(Arg_0-1):|:Arg_0<=0 && 0<=Arg_0
16:eval_foo_bb3_in(Arg_0) -> eval_foo_stop(Arg_0):|:1+Arg_0<=0 && 0<=1+Arg_0
17:eval_foo_start(Arg_0) -> eval_foo_bb0_in(Arg_0)

knowledge_propagation leads to new time bound 1 {O(1)} for transition 13:eval_foo_bb1_in(Arg_0) -> eval_foo_bb2_in(Arg_0):|:Arg_0<=0 && 0<=1+Arg_0 && 0<=Arg_0

knowledge_propagation leads to new time bound 1 {O(1)} for transition 15:eval_foo_bb2_in(Arg_0) -> eval_foo_bb1_in(Arg_0-1):|:Arg_0<=0 && 0<=Arg_0

All Bounds

Timebounds

Overall timebound:6 {O(1)}
12: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
14: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
15: eval_foo_bb2_in->eval_foo_bb1_in: 1 {O(1)}
16: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
17: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 6 {O(1)}
12: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in: 1 {O(1)}
14: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
15: eval_foo_bb2_in->eval_foo_bb1_in: 1 {O(1)}
16: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
17: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

12: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 0 {O(1)}
14: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 1 {O(1)}
15: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 1 {O(1)}
16: eval_foo_bb3_in->eval_foo_stop, Arg_0: 1 {O(1)}
17: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}