Initial Problem
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(0,1,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_1<Arg_4
3: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_4<Arg_1
4: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_1<=Arg_4 && Arg_4<=Arg_1
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5)
6: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)
Preprocessing
Eliminate variables {Arg_2,Arg_3,Arg_5} that do not contribute to the problem
Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location eval_foo_stop
Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location eval_foo_bb3_in
Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location eval_foo_bb2_in
Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 && 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, Arg_4
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,Arg_4) -> eval_foo_bb1_in(0,1,Arg_4)
15:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_4):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_1<Arg_4
16:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_4):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_4<Arg_1
17:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_4):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_1<=Arg_4 && Arg_4<=Arg_1
18:eval_foo_bb2_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_1+Arg_0,Arg_4):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0
19:eval_foo_bb3_in(Arg_0,Arg_1,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_4):|:Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0
20:eval_foo_start(Arg_0,Arg_1,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_4)
MPRF for transition 15:eval_foo_bb1_in(Arg_0,Arg_1,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_4):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_1<Arg_4 of depth 1:
new bound:
2*Arg_4+2 {O(n)}
MPRF:
eval_foo_bb2_in [2*Arg_4-Arg_0-Arg_1-2 ]
eval_foo_bb1_in [2*Arg_4-Arg_0-Arg_1-1 ]
Analysing control-flow refined program
Cut unsatisfiable transition 69: n_eval_foo_bb1_in___1->eval_foo_bb3_in
Cut unsatisfiable transition 70: n_eval_foo_bb1_in___3->eval_foo_bb3_in
Cut unsatisfiable transition 72: n_eval_foo_bb1_in___7->eval_foo_bb3_in
Found invariant 1+Arg_4<=Arg_1 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___4
Found invariant 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb1_in___7
Found invariant Arg_4<=0 && 1+Arg_4<=Arg_1 && Arg_1+Arg_4<=1 && 1+Arg_4<=Arg_0 && Arg_0+Arg_4<=1 && Arg_1<=1 && Arg_1<=Arg_0 && Arg_0+Arg_1<=2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_eval_foo_bb1_in___1
Found invariant 2+Arg_4<=Arg_1 && 1+Arg_4<=Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___2
Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location eval_foo_stop
Found invariant 2+Arg_4<=Arg_1 && 1+Arg_4<=Arg_0 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___3
Found invariant Arg_4<=0 && 1+Arg_4<=Arg_1 && Arg_1+Arg_4<=1 && Arg_4<=Arg_0 && Arg_0+Arg_4<=0 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___8
Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location eval_foo_bb3_in
Found invariant 2<=Arg_4 && 4<=Arg_1+Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___5
Found invariant Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location eval_foo_bb1_in
Found invariant 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___6
Found invariant 2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && 2+Arg_0<=Arg_4 && Arg_1<=1 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=1 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_eval_foo_bb2_in___9
MPRF for transition 56:n_eval_foo_bb1_in___5(Arg_0,Arg_1,Arg_4) -> n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_4):|:2<=Arg_4 && 4<=Arg_1+Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && Arg_0<=Arg_1 && Arg_1<=2*Arg_0 && 1<=Arg_0 && 0<=Arg_0 && 1<=Arg_1 && Arg_1<Arg_4 && Arg_0<=Arg_1 of depth 1:
new bound:
Arg_4+1 {O(n)}
MPRF:
n_eval_foo_bb2_in___6 [Arg_4-Arg_1 ]
n_eval_foo_bb1_in___5 [Arg_4-Arg_0 ]
MPRF for transition 60:n_eval_foo_bb2_in___6(Arg_0,Arg_1,Arg_4) -> n_eval_foo_bb1_in___5(Arg_1,Arg_0+Arg_1,Arg_4):|:2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=2*Arg_0 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<Arg_4 && 0<=Arg_0 && 1<=Arg_1 && Arg_0<=Arg_1 of depth 1:
new bound:
4*Arg_4+5 {O(n)}
MPRF:
n_eval_foo_bb2_in___6 [4*Arg_4-2*Arg_1-3 ]
n_eval_foo_bb1_in___5 [Arg_0+4*Arg_4-2*Arg_1-4 ]
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
14: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
15: eval_foo_bb1_in->eval_foo_bb2_in: 2*Arg_4+2 {O(n)}
16: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
17: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
18: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
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: inf {Infinity}
14: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
15: eval_foo_bb1_in->eval_foo_bb2_in: 2*Arg_4+2 {O(n)}
16: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
17: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
18: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
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: 1 {O(1)}
14: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
15: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: 2*Arg_4 {O(n)}
16: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: 2*Arg_4 {O(n)}
17: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 3*Arg_4 {O(n)}
18: eval_foo_bb2_in->eval_foo_bb1_in, Arg_4: 2*Arg_4 {O(n)}
19: eval_foo_bb3_in->eval_foo_stop, Arg_4: 3*Arg_4 {O(n)}
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)}
20: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}