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
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_3,Arg_2,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_1<Arg_0
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_0<=Arg_1
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0,Arg_1+4,Arg_2,Arg_3)
5:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1+2,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
Found invariant Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_1 && Arg_0<=Arg_1 for location eval_foo_bb3_in
Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_3<=Arg_0 && Arg_2<=Arg_1 for location eval_foo_bb1_in
Problem after Preprocessing
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
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_3,Arg_2,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_3<=Arg_0 && Arg_2<=Arg_1 && Arg_1<Arg_0
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_3<=Arg_0 && Arg_2<=Arg_1 && Arg_0<=Arg_1
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0,Arg_1+4,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1+Arg_1<=Arg_0
5:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1+2,Arg_2,Arg_3):|:Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_1 && Arg_0<=Arg_1
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)
MPRF for transition 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_3<=Arg_0 && Arg_2<=Arg_1 && Arg_1<Arg_0 of depth 1:
new bound:
Arg_2+Arg_3 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_0-Arg_1-4 ]
eval_foo_bb3_in [Arg_0-Arg_1 ]
eval_foo_bb1_in [Arg_0-Arg_1 ]
MPRF for transition 4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0,Arg_1+4,Arg_2,Arg_3):|:Arg_3<=Arg_0 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 of depth 1:
new bound:
Arg_2+Arg_3 {O(n)}
MPRF:
eval_foo_bb2_in [Arg_0-Arg_1 ]
eval_foo_bb3_in [Arg_0-Arg_1 ]
eval_foo_bb1_in [Arg_0-Arg_1 ]
Analysing control-flow refined program
Found invariant Arg_3<=Arg_0 && 5+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=Arg_3 && 4+Arg_2<=Arg_1 && 5+Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 for location n_eval_foo_bb2_in___4
Found invariant Arg_3<=Arg_0 && 1+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=Arg_2 && 1+Arg_1<=Arg_0 for location n_eval_foo_bb2_in___7
Found invariant 2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 2+Arg_2<=Arg_1 && 1+Arg_0<=Arg_1 for location n_eval_foo_bb3_in___1
Found invariant Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_0<=Arg_1 for location n_eval_foo_bb3_in___6
Found invariant Arg_3<=Arg_0 && 1+Arg_2<=Arg_3 && Arg_1<=3+Arg_3 && Arg_0<=Arg_3 && 4+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=3+Arg_0 for location n_eval_foo_bb1_in___5
Found invariant 2+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && 2+Arg_2<=Arg_1 && 1+Arg_0<=Arg_1 for location n_eval_foo_bb1_in___2
Found invariant Arg_3<=Arg_1 && Arg_3<=Arg_0 && 1+Arg_2<=Arg_3 && Arg_1<=3+Arg_3 && Arg_0<=Arg_3 && 4+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=3+Arg_0 && Arg_0<=Arg_1 for location n_eval_foo_bb3_in___3
Found invariant Arg_3<=Arg_0 && Arg_0<=Arg_3 && Arg_2<=Arg_1 && Arg_1<=Arg_2 for location eval_foo_bb1_in
MPRF for transition 53:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 1+Arg_2<=Arg_3 && Arg_1<=3+Arg_3 && Arg_0<=Arg_3 && 4+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=3+Arg_0 && Arg_2<=Arg_1 && Arg_3<=Arg_0 && 4+Arg_2<=Arg_1 && Arg_1<=3+Arg_0 && Arg_3<=Arg_0 && Arg_3<=Arg_0 && Arg_1<Arg_0 && Arg_2<=Arg_1 of depth 1:
new bound:
Arg_2+Arg_3+8 {O(n)}
MPRF:
n_eval_foo_bb2_in___4 [Arg_0-Arg_1 ]
n_eval_foo_bb1_in___5 [Arg_0+4-Arg_1 ]
MPRF for transition 57:n_eval_foo_bb2_in___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_eval_foo_bb1_in___5(Arg_0,Arg_1+4,Arg_2,Arg_3):|:Arg_3<=Arg_0 && 5+Arg_2<=Arg_3 && 1+Arg_1<=Arg_3 && Arg_0<=Arg_3 && 4+Arg_2<=Arg_1 && 5+Arg_2<=Arg_0 && 1+Arg_1<=Arg_0 && Arg_1<Arg_0 && 4+Arg_2<=Arg_1 && Arg_3<=Arg_0 && Arg_3<=Arg_0 && 1+Arg_1<=Arg_0 && Arg_2<=Arg_1 of depth 1:
new bound:
Arg_2+Arg_3+4 {O(n)}
MPRF:
n_eval_foo_bb2_in___4 [Arg_0-Arg_1 ]
n_eval_foo_bb1_in___5 [Arg_0-Arg_1 ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: Arg_2+Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in: inf {Infinity}
4: eval_foo_bb2_in->eval_foo_bb1_in: Arg_2+Arg_3 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: Arg_2+Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in: inf {Infinity}
4: eval_foo_bb2_in->eval_foo_bb1_in: Arg_2+Arg_3 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_3 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_2 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_3 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 4*Arg_3+5*Arg_2 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: 2*Arg_3 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: Arg_3 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 4*Arg_3+5*Arg_2 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb1_in, Arg_2: 2*Arg_2 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb1_in, Arg_3: 2*Arg_3 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}