Initial Problem

Start: eval_speedNestedMultiple_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: nondef.0
Locations: eval_speedNestedMultiple_.critedge_in, eval_speedNestedMultiple_0, eval_speedNestedMultiple_1, eval_speedNestedMultiple_bb0_in, eval_speedNestedMultiple_bb1_in, eval_speedNestedMultiple_bb2_in, eval_speedNestedMultiple_bb3_in, eval_speedNestedMultiple_bb4_in, eval_speedNestedMultiple_bb5_in, eval_speedNestedMultiple_start, eval_speedNestedMultiple_stop
Transitions:
12:eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb1_in(Arg_0+1,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
8:eval_speedNestedMultiple_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6,Arg_7)
10:eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_3<=0
9:eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<Arg_3
1:eval_speedNestedMultiple_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb1_in(Arg_6,Arg_7,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
2:eval_speedNestedMultiple_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_0<Arg_5
3:eval_speedNestedMultiple_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_5<=Arg_0
5:eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4<=Arg_2
4:eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_2<Arg_4
6:eval_speedNestedMultiple_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
11:eval_speedNestedMultiple_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
13:eval_speedNestedMultiple_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
0:eval_speedNestedMultiple_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)

Preprocessing

Found invariant 1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 for location eval_speedNestedMultiple_bb3_in

Found invariant Arg_7<=Arg_1 && Arg_6<=Arg_0 && Arg_5<=Arg_0 for location eval_speedNestedMultiple_bb5_in

Found invariant 1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 for location eval_speedNestedMultiple_0

Found invariant 1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 for location eval_speedNestedMultiple_1

Found invariant Arg_7<=Arg_1 && Arg_6<=Arg_0 for location eval_speedNestedMultiple_bb1_in

Found invariant Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 for location eval_speedNestedMultiple_.critedge_in

Found invariant Arg_7<=Arg_1 && Arg_6<=Arg_0 && Arg_5<=Arg_0 for location eval_speedNestedMultiple_stop

Found invariant 1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_3 && Arg_1<=Arg_2 for location eval_speedNestedMultiple_bb4_in

Found invariant Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 for location eval_speedNestedMultiple_bb2_in

Problem after Preprocessing

Start: eval_speedNestedMultiple_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: nondef.0
Locations: eval_speedNestedMultiple_.critedge_in, eval_speedNestedMultiple_0, eval_speedNestedMultiple_1, eval_speedNestedMultiple_bb0_in, eval_speedNestedMultiple_bb1_in, eval_speedNestedMultiple_bb2_in, eval_speedNestedMultiple_bb3_in, eval_speedNestedMultiple_bb4_in, eval_speedNestedMultiple_bb5_in, eval_speedNestedMultiple_start, eval_speedNestedMultiple_stop
Transitions:
12:eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb1_in(Arg_0+1,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2
8:eval_speedNestedMultiple_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2
10:eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 && Arg_3<=0
9:eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 && 0<Arg_3
1:eval_speedNestedMultiple_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb1_in(Arg_6,Arg_7,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
2:eval_speedNestedMultiple_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_1 && Arg_6<=Arg_0 && Arg_0<Arg_5
3:eval_speedNestedMultiple_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_1 && Arg_6<=Arg_0 && Arg_5<=Arg_0
5:eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 && Arg_4<=Arg_2
4:eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 && Arg_2<Arg_4
6:eval_speedNestedMultiple_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2
11:eval_speedNestedMultiple_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_3 && Arg_1<=Arg_2
13:eval_speedNestedMultiple_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_1 && Arg_6<=Arg_0 && Arg_5<=Arg_0
0:eval_speedNestedMultiple_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)

MPRF for transition 12:eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb1_in(Arg_0+1,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_5+Arg_6 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb1_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_.critedge_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb3_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_0 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb4_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb2_in [Arg_5-Arg_0 ]

MPRF for transition 8:eval_speedNestedMultiple_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_4+Arg_5+Arg_6+Arg_7 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_4+Arg_5-Arg_0-Arg_2-1 ]
eval_speedNestedMultiple_bb1_in [Arg_4+Arg_5-Arg_0-Arg_1 ]
eval_speedNestedMultiple_.critedge_in [Arg_4+Arg_5-Arg_0-Arg_2-1 ]
eval_speedNestedMultiple_bb3_in [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_0 [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb4_in [Arg_4+Arg_5-Arg_0-Arg_2-1 ]
eval_speedNestedMultiple_bb2_in [Arg_4+Arg_5-Arg_0-Arg_2 ]

MPRF for transition 9:eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 && 0<Arg_3 of depth 1:

new bound:

Arg_4+Arg_7 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb1_in [Arg_4-Arg_1 ]
eval_speedNestedMultiple_.critedge_in [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb3_in [Arg_4-Arg_2 ]
eval_speedNestedMultiple_0 [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb4_in [Arg_4-Arg_2-1 ]
eval_speedNestedMultiple_bb2_in [Arg_4-Arg_2 ]

MPRF for transition 10:eval_speedNestedMultiple_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 && Arg_3<=0 of depth 1:

new bound:

Arg_5+Arg_6 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb1_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_.critedge_in [Arg_5-Arg_0-1 ]
eval_speedNestedMultiple_bb3_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_0 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb4_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb2_in [Arg_5-Arg_0 ]

MPRF for transition 2:eval_speedNestedMultiple_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_1 && Arg_6<=Arg_0 && Arg_0<Arg_5 of depth 1:

new bound:

Arg_5+Arg_6+1 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb1_in [Arg_5+1-Arg_0 ]
eval_speedNestedMultiple_.critedge_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb3_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_0 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb4_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb2_in [Arg_5-Arg_0 ]

MPRF for transition 4:eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 && Arg_2<Arg_4 of depth 1:

new bound:

Arg_4+Arg_5+Arg_6+Arg_7+1 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb1_in [Arg_4+Arg_5+1-Arg_0-Arg_1 ]
eval_speedNestedMultiple_.critedge_in [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb3_in [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_0 [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb4_in [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb2_in [Arg_4+Arg_5+1-Arg_0-Arg_2 ]

MPRF for transition 5:eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && Arg_1<=Arg_2 && Arg_4<=Arg_2 of depth 1:

new bound:

Arg_5+Arg_6 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb1_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_.critedge_in [Arg_5-Arg_0-1 ]
eval_speedNestedMultiple_bb3_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_0 [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb4_in [Arg_5-Arg_0 ]
eval_speedNestedMultiple_bb2_in [Arg_5-Arg_0 ]

MPRF for transition 6:eval_speedNestedMultiple_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_4+Arg_5+Arg_6+Arg_7+1 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb1_in [Arg_4+Arg_5+1-Arg_0-Arg_1 ]
eval_speedNestedMultiple_.critedge_in [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb3_in [Arg_4+Arg_5+1-Arg_0-Arg_2 ]
eval_speedNestedMultiple_0 [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb4_in [Arg_4+Arg_5-Arg_0-Arg_2 ]
eval_speedNestedMultiple_bb2_in [Arg_4+Arg_5+1-Arg_0-Arg_2 ]

MPRF for transition 11:eval_speedNestedMultiple_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_speedNestedMultiple_bb2_in(Arg_0,Arg_1,Arg_2+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1+Arg_7<=Arg_4 && Arg_7<=Arg_2 && Arg_7<=Arg_1 && 1+Arg_6<=Arg_5 && Arg_6<=Arg_0 && 1+Arg_0<=Arg_5 && 1+Arg_2<=Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_3 && Arg_1<=Arg_2 of depth 1:

new bound:

Arg_4+Arg_7 {O(n)}

MPRF:

eval_speedNestedMultiple_1 [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb1_in [Arg_4-Arg_1 ]
eval_speedNestedMultiple_.critedge_in [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb3_in [Arg_4-Arg_2 ]
eval_speedNestedMultiple_0 [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb4_in [Arg_4-Arg_2 ]
eval_speedNestedMultiple_bb2_in [Arg_4-Arg_2 ]

All Bounds

Timebounds

Overall timebound:5*Arg_4+5*Arg_7+7*Arg_5+7*Arg_6+7 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in: Arg_5+Arg_6 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1: Arg_4+Arg_5+Arg_6+Arg_7 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in: Arg_4+Arg_7 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in: Arg_5+Arg_6 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in: 1 {O(1)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in: Arg_5+Arg_6+1 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in: 1 {O(1)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in: Arg_4+Arg_5+Arg_6+Arg_7+1 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in: Arg_5+Arg_6 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0: Arg_4+Arg_5+Arg_6+Arg_7+1 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in: Arg_4+Arg_7 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop: 1 {O(1)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 5*Arg_4+5*Arg_7+7*Arg_5+7*Arg_6+7 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in: Arg_5+Arg_6 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1: Arg_4+Arg_5+Arg_6+Arg_7 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in: Arg_4+Arg_7 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in: Arg_5+Arg_6 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in: 1 {O(1)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in: Arg_5+Arg_6+1 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in: 1 {O(1)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in: Arg_4+Arg_5+Arg_6+Arg_7+1 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in: Arg_5+Arg_6 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0: Arg_4+Arg_5+Arg_6+Arg_7+1 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in: Arg_4+Arg_7 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop: 1 {O(1)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in: 1 {O(1)}

Sizebounds

12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_1: 2*Arg_7+Arg_4 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_2: 2*Arg_4+4*Arg_7 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_4: Arg_4 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_5: Arg_5 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_6: Arg_6 {O(n)}
12: eval_speedNestedMultiple_.critedge_in->eval_speedNestedMultiple_bb1_in, Arg_7: Arg_7 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_0: 2*Arg_6+Arg_5 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_1: 3*Arg_7+Arg_4 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_2: 2*Arg_7+Arg_4 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_4: Arg_4 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_5: Arg_5 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_6: Arg_6 {O(n)}
8: eval_speedNestedMultiple_0->eval_speedNestedMultiple_1, Arg_7: Arg_7 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_1: 3*Arg_7+Arg_4 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_2: 2*Arg_7+Arg_4 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_4: Arg_4 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_5: Arg_5 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_6: Arg_6 {O(n)}
9: eval_speedNestedMultiple_1->eval_speedNestedMultiple_bb4_in, Arg_7: Arg_7 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_1: 3*Arg_7+Arg_4 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_2: 2*Arg_7+Arg_4 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_4: Arg_4 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_5: Arg_5 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_6: Arg_6 {O(n)}
10: eval_speedNestedMultiple_1->eval_speedNestedMultiple_.critedge_in, Arg_7: Arg_7 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_0: Arg_6 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_1: Arg_7 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_5: Arg_5 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_6: Arg_6 {O(n)}
1: eval_speedNestedMultiple_bb0_in->eval_speedNestedMultiple_bb1_in, Arg_7: Arg_7 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_1: 3*Arg_7+Arg_4 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_2: 2*Arg_7+Arg_4 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_5: Arg_5 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_6: Arg_6 {O(n)}
2: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb2_in, Arg_7: Arg_7 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_0: 3*Arg_6+Arg_5 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_1: 3*Arg_7+Arg_4 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_2: 2*Arg_4+4*Arg_7+Arg_2 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_4: 2*Arg_4 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_5: 2*Arg_5 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_6: 2*Arg_6 {O(n)}
3: eval_speedNestedMultiple_bb1_in->eval_speedNestedMultiple_bb5_in, Arg_7: 2*Arg_7 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_1: 3*Arg_7+Arg_4 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_2: 2*Arg_7+Arg_4 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_4: Arg_4 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_5: Arg_5 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_6: Arg_6 {O(n)}
4: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_bb3_in, Arg_7: Arg_7 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_1: 2*Arg_4+6*Arg_7 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_2: 2*Arg_7+Arg_4 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_4: Arg_4 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_5: Arg_5 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_6: Arg_6 {O(n)}
5: eval_speedNestedMultiple_bb2_in->eval_speedNestedMultiple_.critedge_in, Arg_7: Arg_7 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_0: 2*Arg_6+Arg_5 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_1: 3*Arg_7+Arg_4 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_2: 2*Arg_7+Arg_4 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_4: Arg_4 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_5: Arg_5 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_6: Arg_6 {O(n)}
6: eval_speedNestedMultiple_bb3_in->eval_speedNestedMultiple_0, Arg_7: Arg_7 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_0: 2*Arg_6+Arg_5 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_1: 3*Arg_7+Arg_4 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_2: 2*Arg_7+Arg_4 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_4: Arg_4 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_5: Arg_5 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_6: Arg_6 {O(n)}
11: eval_speedNestedMultiple_bb4_in->eval_speedNestedMultiple_bb2_in, Arg_7: Arg_7 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_0: 3*Arg_6+Arg_5 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_1: 3*Arg_7+Arg_4 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_2: 2*Arg_4+4*Arg_7+Arg_2 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_4: 2*Arg_4 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_5: 2*Arg_5 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_6: 2*Arg_6 {O(n)}
13: eval_speedNestedMultiple_bb5_in->eval_speedNestedMultiple_stop, Arg_7: 2*Arg_7 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_6: Arg_6 {O(n)}
0: eval_speedNestedMultiple_start->eval_speedNestedMultiple_bb0_in, Arg_7: Arg_7 {O(n)}