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_.critedge_in, eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
14:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_3-1,Arg_2+1-Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
9:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,nondef.0,Arg_5,Arg_6)
12:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<=0 && 0<=Arg_4
10:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<0
11:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_4
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_5,Arg_6,Arg_2,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):|:2<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<2
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_1+Arg_0-1,Arg_0-1,Arg_4,Arg_5,Arg_6)
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<Arg_3
5:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=Arg_2
7:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
13:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6)
15:eval_foo_bb6_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 2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 for location eval_foo_bb5_in
Found invariant Arg_0<=Arg_5 && Arg_0<=1 for location eval_foo_stop
Found invariant 2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 for location eval_foo_bb3_in
Found invariant 2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 for location eval_foo_3
Found invariant 2<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 2<=Arg_0 for location eval_foo_bb2_in
Found invariant Arg_0<=Arg_5 for location eval_foo_bb1_in
Found invariant 2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 for location eval_foo_.critedge_in
Found invariant Arg_0<=Arg_5 && Arg_0<=1 for location eval_foo_bb6_in
Found invariant 2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 for location eval_foo_4
Found invariant 2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 for location eval_foo_bb4_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_.critedge_in, eval_foo_3, eval_foo_4, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_bb6_in, eval_foo_start, eval_foo_stop
Transitions:
14:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_3-1,Arg_2+1-Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0
9:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,nondef.0,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0
12:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 && Arg_4<=0 && 0<=Arg_4
10:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 && Arg_4<0
11:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 && 0<Arg_4
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_5,Arg_6,Arg_2,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_0<=Arg_5 && 2<=Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_5 && Arg_0<2
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_1+Arg_0-1,Arg_0-1,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 2<=Arg_0
6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 && Arg_2<Arg_3
5:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 && Arg_3<=Arg_2
7:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0
13:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0
15:eval_foo_bb6_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_0<=Arg_5 && Arg_0<=1
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)
MPRF for transition 14:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_3-1,Arg_2+1-Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 of depth 1:
new bound:
2*Arg_5 {O(n)}
MPRF:
eval_foo_4 [2*Arg_3 ]
eval_foo_bb1_in [2*Arg_0 ]
eval_foo_bb2_in [2*Arg_0 ]
eval_foo_.critedge_in [2*Arg_3-1 ]
eval_foo_bb4_in [2*Arg_3 ]
eval_foo_3 [2*Arg_3 ]
eval_foo_bb5_in [2*Arg_3 ]
eval_foo_bb3_in [2*Arg_0-2 ]
MPRF for transition 9:eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,nondef.0,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 of depth 1:
new bound:
Arg_5+Arg_6 {O(n)}
MPRF:
eval_foo_4 [Arg_2 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_.critedge_in [Arg_2 ]
eval_foo_bb4_in [Arg_0+Arg_2-Arg_3 ]
eval_foo_3 [Arg_2+1 ]
eval_foo_bb5_in [Arg_2 ]
eval_foo_bb3_in [Arg_2+1 ]
MPRF for transition 10:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 && Arg_4<0 of depth 1:
new bound:
Arg_5+Arg_6 {O(n)}
MPRF:
eval_foo_4 [Arg_2+1 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_.critedge_in [Arg_2+1 ]
eval_foo_bb4_in [Arg_2+1 ]
eval_foo_3 [Arg_2+1 ]
eval_foo_bb5_in [Arg_2 ]
eval_foo_bb3_in [Arg_2+1 ]
MPRF for transition 11:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 && 0<Arg_4 of depth 1:
new bound:
Arg_5+Arg_6+1 {O(n)}
MPRF:
eval_foo_4 [Arg_2 ]
eval_foo_bb1_in [Arg_0+Arg_1-1 ]
eval_foo_bb2_in [Arg_0+Arg_1-1 ]
eval_foo_.critedge_in [Arg_2-1 ]
eval_foo_bb4_in [Arg_2+Arg_3+1-Arg_0 ]
eval_foo_3 [Arg_2 ]
eval_foo_bb5_in [Arg_2-1 ]
eval_foo_bb3_in [Arg_2 ]
MPRF for transition 12:eval_foo_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 && Arg_4<=0 && 0<=Arg_4 of depth 1:
new bound:
Arg_5+1 {O(n)}
MPRF:
eval_foo_4 [Arg_3 ]
eval_foo_bb1_in [Arg_0-1 ]
eval_foo_bb2_in [Arg_0-1 ]
eval_foo_.critedge_in [Arg_3-2 ]
eval_foo_bb4_in [Arg_3 ]
eval_foo_3 [Arg_3 ]
eval_foo_bb5_in [Arg_0-1 ]
eval_foo_bb3_in [Arg_0-1 ]
MPRF for transition 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_0<=Arg_5 && 2<=Arg_0 of depth 1:
new bound:
Arg_5+2 {O(n)}
MPRF:
eval_foo_4 [Arg_0 ]
eval_foo_bb1_in [Arg_0+2 ]
eval_foo_bb2_in [Arg_0 ]
eval_foo_.critedge_in [Arg_3+1 ]
eval_foo_bb4_in [Arg_0 ]
eval_foo_3 [Arg_0 ]
eval_foo_bb5_in [Arg_0 ]
eval_foo_bb3_in [Arg_0 ]
MPRF for transition 4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_1+Arg_0-1,Arg_0-1,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 2<=Arg_0 of depth 1:
new bound:
Arg_5+1 {O(n)}
MPRF:
eval_foo_4 [Arg_3 ]
eval_foo_bb1_in [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_.critedge_in [Arg_3 ]
eval_foo_bb4_in [Arg_3 ]
eval_foo_3 [Arg_3 ]
eval_foo_bb5_in [Arg_3 ]
eval_foo_bb3_in [Arg_0-1 ]
MPRF for transition 5:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 && Arg_3<=Arg_2 of depth 1:
new bound:
Arg_5+Arg_6 {O(n)}
MPRF:
eval_foo_4 [Arg_2 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_.critedge_in [Arg_2 ]
eval_foo_bb4_in [Arg_2 ]
eval_foo_3 [Arg_2 ]
eval_foo_bb5_in [Arg_2 ]
eval_foo_bb3_in [Arg_2+1 ]
MPRF for transition 6:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 2<=Arg_0 && Arg_2<Arg_3 of depth 1:
new bound:
Arg_5+1 {O(n)}
MPRF:
eval_foo_4 [Arg_3 ]
eval_foo_bb1_in [Arg_0-1 ]
eval_foo_bb2_in [Arg_0-1 ]
eval_foo_.critedge_in [Arg_0-3 ]
eval_foo_bb4_in [Arg_0-1 ]
eval_foo_3 [Arg_3 ]
eval_foo_bb5_in [Arg_3 ]
eval_foo_bb3_in [Arg_0-1 ]
MPRF for transition 7:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 of depth 1:
new bound:
2*Arg_5+Arg_6+1 {O(n)}
MPRF:
eval_foo_4 [Arg_0+Arg_2-1 ]
eval_foo_bb1_in [2*Arg_0+Arg_1-1 ]
eval_foo_bb2_in [2*Arg_0+Arg_1-1 ]
eval_foo_.critedge_in [Arg_2+Arg_3-2 ]
eval_foo_bb4_in [2*Arg_0+Arg_2-Arg_3-1 ]
eval_foo_3 [Arg_0+Arg_2-1 ]
eval_foo_bb5_in [Arg_0+Arg_2-1 ]
eval_foo_bb3_in [Arg_0+Arg_2 ]
MPRF for transition 13:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:2<=Arg_5 && 3<=Arg_3+Arg_5 && 1+Arg_3<=Arg_5 && 3<=Arg_2+Arg_5 && 4<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 2<=Arg_0 of depth 1:
new bound:
Arg_5+Arg_6 {O(n)}
MPRF:
eval_foo_4 [Arg_2+1 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_.critedge_in [Arg_2 ]
eval_foo_bb4_in [Arg_0+Arg_2-Arg_3 ]
eval_foo_3 [Arg_0+Arg_2-Arg_3 ]
eval_foo_bb5_in [Arg_2+1 ]
eval_foo_bb3_in [Arg_2+1 ]
All Bounds
Timebounds
Overall timebound:13*Arg_5+6*Arg_6+11 {O(n)}
14: eval_foo_.critedge_in->eval_foo_bb1_in: 2*Arg_5 {O(n)}
9: eval_foo_3->eval_foo_4: Arg_5+Arg_6 {O(n)}
10: eval_foo_4->eval_foo_bb5_in: Arg_5+Arg_6 {O(n)}
11: eval_foo_4->eval_foo_bb5_in: Arg_5+Arg_6+1 {O(n)}
12: eval_foo_4->eval_foo_.critedge_in: Arg_5+1 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: Arg_5+2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb6_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb3_in: Arg_5+1 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb4_in: Arg_5+Arg_6 {O(n)}
6: eval_foo_bb3_in->eval_foo_.critedge_in: Arg_5+1 {O(n)}
7: eval_foo_bb4_in->eval_foo_3: 2*Arg_5+Arg_6+1 {O(n)}
13: eval_foo_bb5_in->eval_foo_bb3_in: Arg_5+Arg_6 {O(n)}
15: eval_foo_bb6_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 13*Arg_5+6*Arg_6+11 {O(n)}
14: eval_foo_.critedge_in->eval_foo_bb1_in: 2*Arg_5 {O(n)}
9: eval_foo_3->eval_foo_4: Arg_5+Arg_6 {O(n)}
10: eval_foo_4->eval_foo_bb5_in: Arg_5+Arg_6 {O(n)}
11: eval_foo_4->eval_foo_bb5_in: Arg_5+Arg_6+1 {O(n)}
12: eval_foo_4->eval_foo_.critedge_in: Arg_5+1 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: Arg_5+2 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb6_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb3_in: Arg_5+1 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb4_in: Arg_5+Arg_6 {O(n)}
6: eval_foo_bb3_in->eval_foo_.critedge_in: Arg_5+1 {O(n)}
7: eval_foo_bb4_in->eval_foo_3: 2*Arg_5+Arg_6+1 {O(n)}
13: eval_foo_bb5_in->eval_foo_bb3_in: Arg_5+Arg_6 {O(n)}
15: eval_foo_bb6_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}
Sizebounds
14: eval_foo_.critedge_in->eval_foo_bb1_in, Arg_0: Arg_5 {O(n)}
14: eval_foo_.critedge_in->eval_foo_bb1_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
14: eval_foo_.critedge_in->eval_foo_bb1_in, Arg_2: 14*Arg_5*Arg_5+10*Arg_5+2*Arg_6 {O(n^2)}
14: eval_foo_.critedge_in->eval_foo_bb1_in, Arg_3: 3*Arg_5 {O(n)}
14: eval_foo_.critedge_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
14: eval_foo_.critedge_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_0: Arg_5 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
9: eval_foo_3->eval_foo_4, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
9: eval_foo_3->eval_foo_4, Arg_3: Arg_5 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_5: Arg_5 {O(n)}
9: eval_foo_3->eval_foo_4, Arg_6: Arg_6 {O(n)}
10: eval_foo_4->eval_foo_bb5_in, Arg_0: Arg_5 {O(n)}
10: eval_foo_4->eval_foo_bb5_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
10: eval_foo_4->eval_foo_bb5_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
10: eval_foo_4->eval_foo_bb5_in, Arg_3: Arg_5 {O(n)}
10: eval_foo_4->eval_foo_bb5_in, Arg_5: Arg_5 {O(n)}
10: eval_foo_4->eval_foo_bb5_in, Arg_6: Arg_6 {O(n)}
11: eval_foo_4->eval_foo_bb5_in, Arg_0: Arg_5 {O(n)}
11: eval_foo_4->eval_foo_bb5_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
11: eval_foo_4->eval_foo_bb5_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
11: eval_foo_4->eval_foo_bb5_in, Arg_3: Arg_5 {O(n)}
11: eval_foo_4->eval_foo_bb5_in, Arg_5: Arg_5 {O(n)}
11: eval_foo_4->eval_foo_bb5_in, Arg_6: Arg_6 {O(n)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_0: Arg_5 {O(n)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_3: Arg_5 {O(n)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_4: 0 {O(1)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_5: Arg_5 {O(n)}
12: eval_foo_4->eval_foo_.critedge_in, Arg_6: Arg_6 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_5 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_6 {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)}
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_0: Arg_5 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: 14*Arg_5*Arg_5+10*Arg_5+2*Arg_6+Arg_2 {O(n^2)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: 3*Arg_5+Arg_3 {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_bb6_in, Arg_0: 2*Arg_5 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb6_in, Arg_1: 7*Arg_5*Arg_5+2*Arg_6+5*Arg_5 {O(n^2)}
3: eval_foo_bb1_in->eval_foo_bb6_in, Arg_2: 14*Arg_5*Arg_5+10*Arg_5+2*Arg_6+Arg_2 {O(n^2)}
3: eval_foo_bb1_in->eval_foo_bb6_in, Arg_3: 3*Arg_5+Arg_3 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb6_in, Arg_5: 2*Arg_5 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb6_in, Arg_6: 2*Arg_6 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: Arg_5 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
4: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
4: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_5 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb4_in, Arg_0: Arg_5 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb4_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
5: eval_foo_bb3_in->eval_foo_bb4_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
5: eval_foo_bb3_in->eval_foo_bb4_in, Arg_3: Arg_5 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb4_in, Arg_5: Arg_5 {O(n)}
5: eval_foo_bb3_in->eval_foo_bb4_in, Arg_6: Arg_6 {O(n)}
6: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_0: Arg_5 {O(n)}
6: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_1: 14*Arg_5*Arg_5+10*Arg_5+2*Arg_6 {O(n^2)}
6: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
6: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_3: 2*Arg_5 {O(n)}
6: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_5: Arg_5 {O(n)}
6: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_6: Arg_6 {O(n)}
7: eval_foo_bb4_in->eval_foo_3, Arg_0: Arg_5 {O(n)}
7: eval_foo_bb4_in->eval_foo_3, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
7: eval_foo_bb4_in->eval_foo_3, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
7: eval_foo_bb4_in->eval_foo_3, Arg_3: Arg_5 {O(n)}
7: eval_foo_bb4_in->eval_foo_3, Arg_5: Arg_5 {O(n)}
7: eval_foo_bb4_in->eval_foo_3, Arg_6: Arg_6 {O(n)}
13: eval_foo_bb5_in->eval_foo_bb3_in, Arg_0: Arg_5 {O(n)}
13: eval_foo_bb5_in->eval_foo_bb3_in, Arg_1: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
13: eval_foo_bb5_in->eval_foo_bb3_in, Arg_2: 7*Arg_5*Arg_5+5*Arg_5+Arg_6 {O(n^2)}
13: eval_foo_bb5_in->eval_foo_bb3_in, Arg_3: Arg_5 {O(n)}
13: eval_foo_bb5_in->eval_foo_bb3_in, Arg_5: Arg_5 {O(n)}
13: eval_foo_bb5_in->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
15: eval_foo_bb6_in->eval_foo_stop, Arg_0: 2*Arg_5 {O(n)}
15: eval_foo_bb6_in->eval_foo_stop, Arg_1: 7*Arg_5*Arg_5+2*Arg_6+5*Arg_5 {O(n^2)}
15: eval_foo_bb6_in->eval_foo_stop, Arg_2: 14*Arg_5*Arg_5+10*Arg_5+2*Arg_6+Arg_2 {O(n^2)}
15: eval_foo_bb6_in->eval_foo_stop, Arg_3: 3*Arg_5+Arg_3 {O(n)}
15: eval_foo_bb6_in->eval_foo_stop, Arg_5: 2*Arg_5 {O(n)}
15: eval_foo_bb6_in->eval_foo_stop, Arg_6: 2*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)}