Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
6:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6)
7:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+Arg_1,Arg_1+Arg_2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<0
8:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+Arg_1,Arg_1+Arg_2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_3
9:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+Arg_2,Arg_1+Arg_2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0 && 0<=Arg_3
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_6,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
10:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Found invariant Arg_2<=Arg_6 && 0<=Arg_0 for location eval_foo_0

Found invariant Arg_2<=Arg_6 && 1+Arg_0<=0 for location eval_foo_stop

Found invariant Arg_2<=Arg_6 && 1+Arg_0<=0 for location eval_foo_bb3_in

Found invariant Arg_2<=Arg_6 && 0<=Arg_0 for location eval_foo_bb2_in

Found invariant Arg_2<=Arg_6 && 0<=Arg_0 for location eval_foo_1

Found invariant Arg_2<=Arg_6 for location eval_foo_bb1_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_foo_0, eval_foo_1, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
6:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 0<=Arg_0
7:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+Arg_1,Arg_1+Arg_2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 0<=Arg_0 && Arg_3<0
8:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+Arg_1,Arg_1+Arg_2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 0<=Arg_0 && 0<Arg_3
9:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_0+Arg_2,Arg_1+Arg_2,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 0<=Arg_0 && Arg_3<=0 && 0<=Arg_3
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_6,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 0<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && Arg_0<0
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 0<=Arg_0
10:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_6 && 1+Arg_0<=0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Analysing control-flow refined program

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_0 for location n_eval_foo_0___5

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && 1+Arg_2<=Arg_0 && 0<=Arg_0 for location n_eval_foo_1___1

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && Arg_3<=0 && 0<=Arg_3 && 1+Arg_2<=Arg_0 for location n_eval_foo_bb1_in___7

Found invariant Arg_2<=Arg_6 && Arg_0<=Arg_4 && 1+Arg_0<=0 for location eval_foo_stop

Found invariant Arg_2<=Arg_6 && Arg_0<=Arg_4 && 1+Arg_0<=0 for location eval_foo_bb3_in

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_0 for location n_eval_foo_0___2

Found invariant Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_5<=Arg_1 && Arg_1<=Arg_5 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 0<=Arg_0 for location n_eval_foo_bb2_in___11

Found invariant Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_5<=Arg_1 && Arg_1<=Arg_5 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 0<=Arg_0 for location n_eval_foo_1___9

Found invariant Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_5<=Arg_1 && Arg_1<=Arg_5 && Arg_4<=Arg_0 && Arg_0<=Arg_4 for location eval_foo_bb1_in

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 for location n_eval_foo_bb1_in___8

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_0+Arg_4 && Arg_3<=0 && Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_2<=Arg_0 && 0<=Arg_0 for location n_eval_foo_bb2_in___3

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_0 for location n_eval_foo_bb2_in___6

Found invariant Arg_6<=Arg_2 && Arg_2<=Arg_6 && Arg_5<=Arg_1 && Arg_1<=Arg_5 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 0<=Arg_0 for location n_eval_foo_0___10

Found invariant 1+Arg_2<=Arg_6 && 0<=Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_0 for location n_eval_foo_1___4

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
6: eval_foo_0->eval_foo_1: inf {Infinity}
7: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
8: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
9: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_0: inf {Infinity}
10: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
6: eval_foo_0->eval_foo_1: inf {Infinity}
7: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
8: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
9: eval_foo_1->eval_foo_bb1_in: inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_0: inf {Infinity}
10: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

6: eval_foo_0->eval_foo_1, Arg_4: Arg_4 {O(n)}
6: eval_foo_0->eval_foo_1, Arg_5: Arg_5 {O(n)}
6: eval_foo_0->eval_foo_1, Arg_6: Arg_6 {O(n)}
7: eval_foo_1->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
7: eval_foo_1->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
7: eval_foo_1->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
8: eval_foo_1->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
8: eval_foo_1->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
8: eval_foo_1->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
9: eval_foo_1->eval_foo_bb1_in, Arg_3: 0 {O(1)}
9: eval_foo_1->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
9: eval_foo_1->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
9: eval_foo_1->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_5 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_6 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_6: Arg_6 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 4*Arg_4 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: 4*Arg_5 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_6: 4*Arg_6 {O(n)}
4: eval_foo_bb2_in->eval_foo_0, Arg_4: Arg_4 {O(n)}
4: eval_foo_bb2_in->eval_foo_0, Arg_5: Arg_5 {O(n)}
4: eval_foo_bb2_in->eval_foo_0, Arg_6: Arg_6 {O(n)}
10: eval_foo_bb3_in->eval_foo_stop, Arg_4: 4*Arg_4 {O(n)}
10: eval_foo_bb3_in->eval_foo_stop, Arg_5: 4*Arg_5 {O(n)}
10: eval_foo_bb3_in->eval_foo_stop, Arg_6: 4*Arg_6 {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)}
0: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_6: Arg_6 {O(n)}