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):|: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<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1,Arg_2,Arg_3):|:Arg_0<=50
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1,Arg_2,Arg_3):|:50<Arg_0
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+Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_stop
Found invariant 1+Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb3_in
Found invariant Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb1_in
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_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
14:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(0,0)
15:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1
16:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<0
17:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<=50
18:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 50<Arg_0
19:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1):|:1+Arg_1<=0 && 2+Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 1<=Arg_0
20:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)
MPRF for transition 17:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<=50 of depth 1:
new bound:
51 {O(1)}
MPRF:
eval_foo_bb2_in [51-Arg_0 ]
eval_foo_bb1_in [51-Arg_0 ]
MPRF for transition 15:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:Arg_1<=Arg_0 && 0<=1+Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 0<=Arg_1 of depth 1:
new bound:
2653 {O(1)}
MPRF:
eval_foo_bb2_in [Arg_1 ]
eval_foo_bb1_in [Arg_1+1 ]
MPRF for transition 18:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1):|:Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 50<Arg_0 of depth 1:
new bound:
2653 {O(1)}
MPRF:
eval_foo_bb2_in [Arg_1+1 ]
eval_foo_bb1_in [Arg_1+1 ]
All Bounds
Timebounds
Overall timebound:5361 {O(1)}
14: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
15: eval_foo_bb1_in->eval_foo_bb2_in: 2653 {O(1)}
16: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
17: eval_foo_bb2_in->eval_foo_bb1_in: 51 {O(1)}
18: eval_foo_bb2_in->eval_foo_bb1_in: 2653 {O(1)}
19: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
20: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 5361 {O(1)}
14: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
15: eval_foo_bb1_in->eval_foo_bb2_in: 2653 {O(1)}
16: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
17: eval_foo_bb2_in->eval_foo_bb1_in: 51 {O(1)}
18: eval_foo_bb2_in->eval_foo_bb1_in: 2653 {O(1)}
19: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
20: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
14: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: 0 {O(1)}
14: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
15: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 2704 {O(1)}
15: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 52 {O(1)}
16: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 2704 {O(1)}
16: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 1 {O(1)}
17: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 51 {O(1)}
17: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 51 {O(1)}
18: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 2704 {O(1)}
18: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 52 {O(1)}
19: eval_foo_bb3_in->eval_foo_stop, Arg_0: 2704 {O(1)}
19: eval_foo_bb3_in->eval_foo_stop, Arg_1: 1 {O(1)}
20: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
20: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}