Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
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,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_0+Arg_1<Arg_3
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_3<=Arg_0+Arg_1
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5)
5:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
Eliminate variables {Arg_2} that do not contribute to the problem
Found invariant Arg_5<=Arg_1 && Arg_4<=Arg_0 for location eval_foo_stop
Found invariant Arg_5<=Arg_1 && Arg_4<=Arg_0 for location eval_foo_bb3_in
Found invariant Arg_5<=Arg_1 && Arg_4<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_5<=Arg_1 && Arg_4<=Arg_0 for location eval_foo_bb1_in
Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_3, Arg_4, Arg_5
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,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_3,Arg_4,Arg_5)
13:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_1 && Arg_4<=Arg_0 && Arg_0+Arg_1<Arg_3
14:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_1 && Arg_4<=Arg_0 && Arg_3<=Arg_0+Arg_1
15:eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_1 && Arg_4<=Arg_0
16:eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_1 && Arg_4<=Arg_0
17:eval_foo_start(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5)
new bound:
Arg_3+Arg_4+Arg_5 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_3-Arg_1-Arg_4-1 ]
eval_foo_bb1_in [Arg_3-Arg_1-Arg_4 ]
knowledge_propagation leads to new time bound Arg_3+Arg_4+Arg_5 {O(n)} for transition 15:eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,Arg_1+1,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_1 && Arg_4<=Arg_0
Overall timebound:2*Arg_3+2*Arg_4+2*Arg_5+4 {O(n)}
12: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in: Arg_3+Arg_4+Arg_5 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
15: eval_foo_bb2_in->eval_foo_bb1_in: Arg_3+Arg_4+Arg_5 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
17: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Overall costbound: 2*Arg_3+2*Arg_4+2*Arg_5+4 {O(n)}
12: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
13: eval_foo_bb1_in->eval_foo_bb2_in: Arg_3+Arg_4+Arg_5 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
15: eval_foo_bb2_in->eval_foo_bb1_in: Arg_3+Arg_4+Arg_5 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
17: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
12: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
12: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_5 {O(n)}
12: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
12: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
12: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 2*Arg_4+Arg_3+Arg_5 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_5+Arg_3+Arg_4 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
13: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: 3*Arg_4+Arg_3+Arg_5 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 3*Arg_5+Arg_3+Arg_4 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_3 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 2*Arg_4 {O(n)}
14: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: 2*Arg_5 {O(n)}
15: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 2*Arg_4+Arg_3+Arg_5 {O(n)}
15: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 2*Arg_5+Arg_3+Arg_4 {O(n)}
15: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
15: eval_foo_bb2_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
15: eval_foo_bb2_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop, Arg_0: 3*Arg_4+Arg_3+Arg_5 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop, Arg_1: 3*Arg_5+Arg_3+Arg_4 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop, Arg_3: 2*Arg_3 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop, Arg_4: 2*Arg_4 {O(n)}
16: eval_foo_bb3_in->eval_foo_stop, Arg_5: 2*Arg_5 {O(n)}
17: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
17: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
17: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
17: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
17: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}