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,Arg_1,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<40
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):|:40<=Arg_0
4: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):|:Arg_3<=0 && 0<=Arg_3
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+2,Arg_1,Arg_2,Arg_3):|:Arg_3<0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+2,Arg_1,Arg_2,Arg_3):|:0<Arg_3
7: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_1,Arg_2} that do not contribute to the problem
Found invariant 40<=Arg_0 for location eval_foo_stop
Found invariant 40<=Arg_0 for location eval_foo_bb3_in
Found invariant Arg_0<=39 && 0<=Arg_0 for location eval_foo_bb2_in
Found invariant 0<=Arg_0 for location eval_foo_bb1_in
Problem after Preprocessing
Start: eval_foo_start
Program_Vars: Arg_0, 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:
16:eval_foo_bb0_in(Arg_0,Arg_3) -> eval_foo_bb1_in(0,Arg_3)
17:eval_foo_bb1_in(Arg_0,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_3):|:0<=Arg_0 && Arg_0<40
18:eval_foo_bb1_in(Arg_0,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_3):|:0<=Arg_0 && 40<=Arg_0
19:eval_foo_bb2_in(Arg_0,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_3):|:Arg_0<=39 && 0<=Arg_0 && Arg_3<=0 && 0<=Arg_3
20:eval_foo_bb2_in(Arg_0,Arg_3) -> eval_foo_bb1_in(Arg_0+2,Arg_3):|:Arg_0<=39 && 0<=Arg_0 && Arg_3<0
21:eval_foo_bb2_in(Arg_0,Arg_3) -> eval_foo_bb1_in(Arg_0+2,Arg_3):|:Arg_0<=39 && 0<=Arg_0 && 0<Arg_3
22:eval_foo_bb3_in(Arg_0,Arg_3) -> eval_foo_stop(Arg_0,Arg_3):|:40<=Arg_0
23:eval_foo_start(Arg_0,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_3)
MPRF for transition 17:eval_foo_bb1_in(Arg_0,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_3):|:0<=Arg_0 && Arg_0<40 of depth 1:
new bound:
40 {O(1)}
MPRF:
eval_foo_bb2_in [39-Arg_0 ]
eval_foo_bb1_in [40-Arg_0 ]
MPRF for transition 19:eval_foo_bb2_in(Arg_0,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_3):|:Arg_0<=39 && 0<=Arg_0 && Arg_3<=0 && 0<=Arg_3 of depth 1:
new bound:
40 {O(1)}
MPRF:
eval_foo_bb2_in [40-Arg_0 ]
eval_foo_bb1_in [40-Arg_0 ]
MPRF for transition 20:eval_foo_bb2_in(Arg_0,Arg_3) -> eval_foo_bb1_in(Arg_0+2,Arg_3):|:Arg_0<=39 && 0<=Arg_0 && Arg_3<0 of depth 1:
new bound:
40 {O(1)}
MPRF:
eval_foo_bb2_in [40-Arg_0 ]
eval_foo_bb1_in [40-Arg_0 ]
MPRF for transition 21:eval_foo_bb2_in(Arg_0,Arg_3) -> eval_foo_bb1_in(Arg_0+2,Arg_3):|:Arg_0<=39 && 0<=Arg_0 && 0<Arg_3 of depth 1:
new bound:
40 {O(1)}
MPRF:
eval_foo_bb2_in [40-Arg_0 ]
eval_foo_bb1_in [40-Arg_0 ]
All Bounds
Timebounds
Overall timebound:164 {O(1)}
16: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
17: eval_foo_bb1_in->eval_foo_bb2_in: 40 {O(1)}
18: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
19: eval_foo_bb2_in->eval_foo_bb1_in: 40 {O(1)}
20: eval_foo_bb2_in->eval_foo_bb1_in: 40 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb1_in: 40 {O(1)}
22: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
23: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 164 {O(1)}
16: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
17: eval_foo_bb1_in->eval_foo_bb2_in: 40 {O(1)}
18: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
19: eval_foo_bb2_in->eval_foo_bb1_in: 40 {O(1)}
20: eval_foo_bb2_in->eval_foo_bb1_in: 40 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb1_in: 40 {O(1)}
22: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
23: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
16: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
16: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
17: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 39 {O(1)}
17: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
18: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 122 {O(1)}
18: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_3 {O(n)}
19: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 40 {O(1)}
19: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: 0 {O(1)}
20: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 41 {O(1)}
20: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
21: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 41 {O(1)}
21: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
22: eval_foo_bb3_in->eval_foo_stop, Arg_0: 122 {O(1)}
22: eval_foo_bb3_in->eval_foo_stop, Arg_3: 2*Arg_3 {O(n)}
23: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
23: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}